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: YAK, YYZ, TKE, LAO, SPS, FAI, KYU, ARN, KCL\n- Travel distances (in kilometers) between each pair of airports:\nYAK to ARN: 9731\nYAK to FAI: 1015\nYAK to LAO: 12895\nYAK to KYU: 1481\nYAK to YYZ: 5084\nYAK to SPS: 4626\nYAK to KCL: 1348\nYAK to TKE: 392\nYYZ to ARN: 6312\nYYZ to FAI: 5548\nYYZ to LAO: 13635\nYYZ to KYU: 6014\nYYZ to SPS: 2109\nYYZ to KCL: 5881\nYYZ to TKE: 4840\nTKE to ARN: 9487\nTKE to FAI: 1407\nTKE to LAO: 12651\nTKE to KYU: 1873\nTKE to SPS: 4382\nTKE to KCL: 1740\nLAO to ARN: 9763\nLAO to FAI: 13578\nLAO to KYU: 14044\nLAO to SPS: 13965\nLAO to KCL: 14157\nSPS to ARN: 8326\nSPS to FAI: 5309\nSPS to KYU: 5775\nSPS to KCL: 5827\nFAI to KYU: 466\nFAI to ARN: 10414\nFAI to KCL: 1169\nKYU to ARN: 10880\nKYU to KCL: 1635\nARN to KCL: 11029\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 39985,
"style": "rule"
}
|
{
"exact_answer": 39985,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAK\", \"id\": 0}, {\"name\": \"YYZ\", \"id\": 1}, {\"name\": \"TKE\", \"id\": 2}, {\"name\": \"LAO\", \"id\": 3}, {\"name\": \"SPS\", \"id\": 4}, {\"name\": \"FAI\", \"id\": 5}, {\"name\": \"KYU\", \"id\": 6}, {\"name\": \"ARN\", \"id\": 7}, {\"name\": \"KCL\", \"id\": 8}], \"links\": [{\"weight\": 9731, \"source\": 0, \"target\": 7}, {\"weight\": 1015, \"source\": 0, \"target\": 5}, {\"weight\": 12895, \"source\": 0, \"target\": 3}, {\"weight\": 1481, \"source\": 0, \"target\": 6}, {\"weight\": 5084, \"source\": 0, \"target\": 1}, {\"weight\": 4626, \"source\": 0, \"target\": 4}, {\"weight\": 1348, \"source\": 0, \"target\": 8}, {\"weight\": 392, \"source\": 0, \"target\": 2}, {\"weight\": 6312, \"source\": 1, \"target\": 7}, {\"weight\": 5548, \"source\": 1, \"target\": 5}, {\"weight\": 13635, \"source\": 1, \"target\": 3}, {\"weight\": 6014, \"source\": 1, \"target\": 6}, {\"weight\": 2109, \"source\": 1, \"target\": 4}, {\"weight\": 5881, \"source\": 1, \"target\": 8}, {\"weight\": 4840, \"source\": 1, \"target\": 2}, {\"weight\": 9487, \"source\": 2, \"target\": 7}, {\"weight\": 1407, \"source\": 2, \"target\": 5}, {\"weight\": 12651, \"source\": 2, \"target\": 3}, {\"weight\": 1873, \"source\": 2, \"target\": 6}, {\"weight\": 4382, \"source\": 2, \"target\": 4}, {\"weight\": 1740, \"source\": 2, \"target\": 8}, {\"weight\": 9763, \"source\": 3, \"target\": 7}, {\"weight\": 13578, \"source\": 3, \"target\": 5}, {\"weight\": 14044, \"source\": 3, \"target\": 6}, {\"weight\": 13965, \"source\": 3, \"target\": 4}, {\"weight\": 14157, \"source\": 3, \"target\": 8}, {\"weight\": 8326, \"source\": 4, \"target\": 7}, {\"weight\": 5309, \"source\": 4, \"target\": 5}, {\"weight\": 5775, \"source\": 4, \"target\": 6}, {\"weight\": 5827, \"source\": 4, \"target\": 8}, {\"weight\": 466, \"source\": 5, \"target\": 6}, {\"weight\": 10414, \"source\": 5, \"target\": 7}, {\"weight\": 1169, \"source\": 5, \"target\": 8}, {\"weight\": 10880, \"source\": 6, \"target\": 7}, {\"weight\": 1635, \"source\": 6, \"target\": 8}, {\"weight\": 11029, \"source\": 7, \"target\": 8}]}",
"id": 2800,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAK, YYZ, TKE, LAO, SPS, FAI, KYU, ARN, KCL\n- Travel distances (in kilometers) between each pair of airports:\nYAK to ARN: 9731\nYAK to FAI: 1015\nYAK to LAO: 12895\nYAK to KYU: 1481\nYAK to YYZ: 5084\nYAK to SPS: 4626\nYAK to KCL: 1348\nYAK to TKE: 392\nYYZ to ARN: 6312\nYYZ to FAI: 5548\nYYZ to LAO: 13635\nYYZ to KYU: 6014\nYYZ to SPS: 2109\nYYZ to KCL: 5881\nYYZ to TKE: 4840\nTKE to ARN: 9487\nTKE to FAI: 1407\nTKE to LAO: 12651\nTKE to KYU: 1873\nTKE to SPS: 4382\nTKE to KCL: 1740\nLAO to ARN: 9763\nLAO to FAI: 13578\nLAO to KYU: 14044\nLAO to SPS: 13965\nLAO to KCL: 14157\nSPS to ARN: 8326\nSPS to FAI: 5309\nSPS to KYU: 5775\nSPS to KCL: 5827\nFAI to KYU: 466\nFAI to ARN: 10414\nFAI to KCL: 1169\nKYU to ARN: 10880\nKYU to KCL: 1635\nARN to KCL: 11029\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGI, PPN, INV, JHW, NRN, TTT, WMR, LEQ, YQZ\n- Travel distances (in kilometers) between each pair of airports:\nCGI to YQZ: 3559\nCGI to TTT: 12868\nCGI to PPN: 4709\nCGI to INV: 6954\nCGI to NRN: 7370\nCGI to LEQ: 7121\nCGI to WMR: 16331\nCGI to JHW: 1195\nPPN to YQZ: 7551\nPPN to TTT: 17003\nPPN to INV: 9295\nPPN to NRN: 9608\nPPN to LEQ: 9348\nPPN to WMR: 14715\nPPN to JHW: 4773\nINV to YQZ: 7723\nINV to TTT: 10179\nINV to NRN: 970\nINV to LEQ: 1009\nINV to WMR: 10166\nINV to JHW: 6261\nJHW to YQZ: 3960\nJHW to TTT: 12781\nJHW to NRN: 6677\nJHW to LEQ: 6428\nJHW to WMR: 15638\nNRN to YQZ: 8331\nNRN to TTT: 9829\nNRN to LEQ: 1171\nNRN to WMR: 9395\nTTT to YQZ: 10343\nTTT to LEQ: 10622\nTTT to WMR: 10002\nWMR to YQZ: 17482\nWMR to LEQ: 9922\nLEQ to YQZ: 8296\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50594,
"style": "rule"
}
|
{
"exact_answer": 50594,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGI\", \"id\": 0}, {\"name\": \"PPN\", \"id\": 1}, {\"name\": \"INV\", \"id\": 2}, {\"name\": \"JHW\", \"id\": 3}, {\"name\": \"NRN\", \"id\": 4}, {\"name\": \"TTT\", \"id\": 5}, {\"name\": \"WMR\", \"id\": 6}, {\"name\": \"LEQ\", \"id\": 7}, {\"name\": \"YQZ\", \"id\": 8}], \"links\": [{\"weight\": 3559, \"source\": 0, \"target\": 8}, {\"weight\": 12868, \"source\": 0, \"target\": 5}, {\"weight\": 4709, \"source\": 0, \"target\": 1}, {\"weight\": 6954, \"source\": 0, \"target\": 2}, {\"weight\": 7370, \"source\": 0, \"target\": 4}, {\"weight\": 7121, \"source\": 0, \"target\": 7}, {\"weight\": 16331, \"source\": 0, \"target\": 6}, {\"weight\": 1195, \"source\": 0, \"target\": 3}, {\"weight\": 7551, \"source\": 1, \"target\": 8}, {\"weight\": 17003, \"source\": 1, \"target\": 5}, {\"weight\": 9295, \"source\": 1, \"target\": 2}, {\"weight\": 9608, \"source\": 1, \"target\": 4}, {\"weight\": 9348, \"source\": 1, \"target\": 7}, {\"weight\": 14715, \"source\": 1, \"target\": 6}, {\"weight\": 4773, \"source\": 1, \"target\": 3}, {\"weight\": 7723, \"source\": 2, \"target\": 8}, {\"weight\": 10179, \"source\": 2, \"target\": 5}, {\"weight\": 970, \"source\": 2, \"target\": 4}, {\"weight\": 1009, \"source\": 2, \"target\": 7}, {\"weight\": 10166, \"source\": 2, \"target\": 6}, {\"weight\": 6261, \"source\": 2, \"target\": 3}, {\"weight\": 3960, \"source\": 3, \"target\": 8}, {\"weight\": 12781, \"source\": 3, \"target\": 5}, {\"weight\": 6677, \"source\": 3, \"target\": 4}, {\"weight\": 6428, \"source\": 3, \"target\": 7}, {\"weight\": 15638, \"source\": 3, \"target\": 6}, {\"weight\": 8331, \"source\": 4, \"target\": 8}, {\"weight\": 9829, \"source\": 4, \"target\": 5}, {\"weight\": 1171, \"source\": 4, \"target\": 7}, {\"weight\": 9395, \"source\": 4, \"target\": 6}, {\"weight\": 10343, \"source\": 5, \"target\": 8}, {\"weight\": 10622, \"source\": 5, \"target\": 7}, {\"weight\": 10002, \"source\": 5, \"target\": 6}, {\"weight\": 17482, \"source\": 6, \"target\": 8}, {\"weight\": 9922, \"source\": 6, \"target\": 7}, {\"weight\": 8296, \"source\": 7, \"target\": 8}]}",
"id": 2801,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGI, PPN, INV, JHW, NRN, TTT, WMR, LEQ, YQZ\n- Travel distances (in kilometers) between each pair of airports:\nCGI to YQZ: 3559\nCGI to TTT: 12868\nCGI to PPN: 4709\nCGI to INV: 6954\nCGI to NRN: 7370\nCGI to LEQ: 7121\nCGI to WMR: 16331\nCGI to JHW: 1195\nPPN to YQZ: 7551\nPPN to TTT: 17003\nPPN to INV: 9295\nPPN to NRN: 9608\nPPN to LEQ: 9348\nPPN to WMR: 14715\nPPN to JHW: 4773\nINV to YQZ: 7723\nINV to TTT: 10179\nINV to NRN: 970\nINV to LEQ: 1009\nINV to WMR: 10166\nINV to JHW: 6261\nJHW to YQZ: 3960\nJHW to TTT: 12781\nJHW to NRN: 6677\nJHW to LEQ: 6428\nJHW to WMR: 15638\nNRN to YQZ: 8331\nNRN to TTT: 9829\nNRN to LEQ: 1171\nNRN to WMR: 9395\nTTT to YQZ: 10343\nTTT to LEQ: 10622\nTTT to WMR: 10002\nWMR to YQZ: 17482\nWMR to LEQ: 9922\nLEQ to YQZ: 8296\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLJ, TBI, SOU, CPH, SVD, SEZ, HND, FEZ, SVU\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to FEZ: 8888\nPLJ to CPH: 9222\nPLJ to HND: 12392\nPLJ to SOU: 8497\nPLJ to SEZ: 16669\nPLJ to SVU: 12731\nPLJ to SVD: 3558\nPLJ to TBI: 1807\nTBI to FEZ: 8030\nTBI to CPH: 8174\nTBI to HND: 12570\nTBI to SOU: 7469\nTBI to SEZ: 15410\nTBI to SVU: 13390\nTBI to SVD: 2458\nSOU to FEZ: 1920\nSOU to CPH: 1081\nSOU to HND: 10010\nSOU to SEZ: 8375\nSOU to SVU: 17297\nSOU to SVD: 7158\nCPH to FEZ: 2786\nCPH to HND: 8933\nCPH to SEZ: 8145\nCPH to SVU: 16282\nCPH to SVD: 7878\nSVD to FEZ: 7601\nSVD to HND: 14538\nSVD to SEZ: 15014\nSVD to SVU: 15404\nSEZ to FEZ: 9068\nSEZ to HND: 9841\nSEZ to SVU: 14197\nHND to FEZ: 11479\nHND to SVU: 9001\nFEZ to SVU: 18978\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54585,
"style": "rule"
}
|
{
"exact_answer": 54585,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PLJ\", \"id\": 0}, {\"name\": \"TBI\", \"id\": 1}, {\"name\": \"SOU\", \"id\": 2}, {\"name\": \"CPH\", \"id\": 3}, {\"name\": \"SVD\", \"id\": 4}, {\"name\": \"SEZ\", \"id\": 5}, {\"name\": \"HND\", \"id\": 6}, {\"name\": \"FEZ\", \"id\": 7}, {\"name\": \"SVU\", \"id\": 8}], \"links\": [{\"weight\": 8888, \"source\": 0, \"target\": 7}, {\"weight\": 9222, \"source\": 0, \"target\": 3}, {\"weight\": 12392, \"source\": 0, \"target\": 6}, {\"weight\": 8497, \"source\": 0, \"target\": 2}, {\"weight\": 16669, \"source\": 0, \"target\": 5}, {\"weight\": 12731, \"source\": 0, \"target\": 8}, {\"weight\": 3558, \"source\": 0, \"target\": 4}, {\"weight\": 1807, \"source\": 0, \"target\": 1}, {\"weight\": 8030, \"source\": 1, \"target\": 7}, {\"weight\": 8174, \"source\": 1, \"target\": 3}, {\"weight\": 12570, \"source\": 1, \"target\": 6}, {\"weight\": 7469, \"source\": 1, \"target\": 2}, {\"weight\": 15410, \"source\": 1, \"target\": 5}, {\"weight\": 13390, \"source\": 1, \"target\": 8}, {\"weight\": 2458, \"source\": 1, \"target\": 4}, {\"weight\": 1920, \"source\": 2, \"target\": 7}, {\"weight\": 1081, \"source\": 2, \"target\": 3}, {\"weight\": 10010, \"source\": 2, \"target\": 6}, {\"weight\": 8375, \"source\": 2, \"target\": 5}, {\"weight\": 17297, \"source\": 2, \"target\": 8}, {\"weight\": 7158, \"source\": 2, \"target\": 4}, {\"weight\": 2786, \"source\": 3, \"target\": 7}, {\"weight\": 8933, \"source\": 3, \"target\": 6}, {\"weight\": 8145, \"source\": 3, \"target\": 5}, {\"weight\": 16282, \"source\": 3, \"target\": 8}, {\"weight\": 7878, \"source\": 3, \"target\": 4}, {\"weight\": 7601, \"source\": 4, \"target\": 7}, {\"weight\": 14538, \"source\": 4, \"target\": 6}, {\"weight\": 15014, \"source\": 4, \"target\": 5}, {\"weight\": 15404, \"source\": 4, \"target\": 8}, {\"weight\": 9068, \"source\": 5, \"target\": 7}, {\"weight\": 9841, \"source\": 5, \"target\": 6}, {\"weight\": 14197, \"source\": 5, \"target\": 8}, {\"weight\": 11479, \"source\": 6, \"target\": 7}, {\"weight\": 9001, \"source\": 6, \"target\": 8}, {\"weight\": 18978, \"source\": 7, \"target\": 8}]}",
"id": 2802,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLJ, TBI, SOU, CPH, SVD, SEZ, HND, FEZ, SVU\n- Travel distances (in kilometers) between each pair of airports:\nPLJ to FEZ: 8888\nPLJ to CPH: 9222\nPLJ to HND: 12392\nPLJ to SOU: 8497\nPLJ to SEZ: 16669\nPLJ to SVU: 12731\nPLJ to SVD: 3558\nPLJ to TBI: 1807\nTBI to FEZ: 8030\nTBI to CPH: 8174\nTBI to HND: 12570\nTBI to SOU: 7469\nTBI to SEZ: 15410\nTBI to SVU: 13390\nTBI to SVD: 2458\nSOU to FEZ: 1920\nSOU to CPH: 1081\nSOU to HND: 10010\nSOU to SEZ: 8375\nSOU to SVU: 17297\nSOU to SVD: 7158\nCPH to FEZ: 2786\nCPH to HND: 8933\nCPH to SEZ: 8145\nCPH to SVU: 16282\nCPH to SVD: 7878\nSVD to FEZ: 7601\nSVD to HND: 14538\nSVD to SEZ: 15014\nSVD to SVU: 15404\nSEZ to FEZ: 9068\nSEZ to HND: 9841\nSEZ to SVU: 14197\nHND to FEZ: 11479\nHND to SVU: 9001\nFEZ to SVU: 18978\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RSA, BLJ, CAB, YHP, JOI, AXD, YSB, VCA, SPS\n- Travel distances (in kilometers) between each pair of airports:\nRSA to AXD: 13107\nRSA to SPS: 9349\nRSA to YSB: 10123\nRSA to JOI: 1904\nRSA to BLJ: 11155\nRSA to CAB: 9124\nRSA to VCA: 19697\nRSA to YHP: 11238\nBLJ to AXD: 2549\nBLJ to SPS: 9175\nBLJ to YSB: 7414\nBLJ to JOI: 9273\nBLJ to CAB: 6374\nBLJ to VCA: 11203\nBLJ to YHP: 8534\nCAB to AXD: 7061\nCAB to SPS: 13466\nCAB to YSB: 11822\nCAB to JOI: 7298\nCAB to VCA: 11498\nCAB to YHP: 12945\nYHP to AXD: 9949\nYHP to SPS: 2583\nYHP to YSB: 1212\nYHP to JOI: 10036\nYHP to VCA: 14320\nJOI to AXD: 11225\nJOI to SPS: 8812\nJOI to YSB: 8921\nJOI to VCA: 17815\nAXD to SPS: 10600\nAXD to YSB: 8834\nAXD to VCA: 9450\nYSB to SPS: 2449\nYSB to VCA: 14471\nVCA to SPS: 15062\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53257,
"style": "rule"
}
|
{
"exact_answer": 53257,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RSA\", \"id\": 0}, {\"name\": \"BLJ\", \"id\": 1}, {\"name\": \"CAB\", \"id\": 2}, {\"name\": \"YHP\", \"id\": 3}, {\"name\": \"JOI\", \"id\": 4}, {\"name\": \"AXD\", \"id\": 5}, {\"name\": \"YSB\", \"id\": 6}, {\"name\": \"VCA\", \"id\": 7}, {\"name\": \"SPS\", \"id\": 8}], \"links\": [{\"weight\": 13107, \"source\": 0, \"target\": 5}, {\"weight\": 9349, \"source\": 0, \"target\": 8}, {\"weight\": 10123, \"source\": 0, \"target\": 6}, {\"weight\": 1904, \"source\": 0, \"target\": 4}, {\"weight\": 11155, \"source\": 0, \"target\": 1}, {\"weight\": 9124, \"source\": 0, \"target\": 2}, {\"weight\": 19697, \"source\": 0, \"target\": 7}, {\"weight\": 11238, \"source\": 0, \"target\": 3}, {\"weight\": 2549, \"source\": 1, \"target\": 5}, {\"weight\": 9175, \"source\": 1, \"target\": 8}, {\"weight\": 7414, \"source\": 1, \"target\": 6}, {\"weight\": 9273, \"source\": 1, \"target\": 4}, {\"weight\": 6374, \"source\": 1, \"target\": 2}, {\"weight\": 11203, \"source\": 1, \"target\": 7}, {\"weight\": 8534, \"source\": 1, \"target\": 3}, {\"weight\": 7061, \"source\": 2, \"target\": 5}, {\"weight\": 13466, \"source\": 2, \"target\": 8}, {\"weight\": 11822, \"source\": 2, \"target\": 6}, {\"weight\": 7298, \"source\": 2, \"target\": 4}, {\"weight\": 11498, \"source\": 2, \"target\": 7}, {\"weight\": 12945, \"source\": 2, \"target\": 3}, {\"weight\": 9949, \"source\": 3, \"target\": 5}, {\"weight\": 2583, \"source\": 3, \"target\": 8}, {\"weight\": 1212, \"source\": 3, \"target\": 6}, {\"weight\": 10036, \"source\": 3, \"target\": 4}, {\"weight\": 14320, \"source\": 3, \"target\": 7}, {\"weight\": 11225, \"source\": 4, \"target\": 5}, {\"weight\": 8812, \"source\": 4, \"target\": 8}, {\"weight\": 8921, \"source\": 4, \"target\": 6}, {\"weight\": 17815, \"source\": 4, \"target\": 7}, {\"weight\": 10600, \"source\": 5, \"target\": 8}, {\"weight\": 8834, \"source\": 5, \"target\": 6}, {\"weight\": 9450, \"source\": 5, \"target\": 7}, {\"weight\": 2449, \"source\": 6, \"target\": 8}, {\"weight\": 14471, \"source\": 6, \"target\": 7}, {\"weight\": 15062, \"source\": 7, \"target\": 8}]}",
"id": 2803,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RSA, BLJ, CAB, YHP, JOI, AXD, YSB, VCA, SPS\n- Travel distances (in kilometers) between each pair of airports:\nRSA to AXD: 13107\nRSA to SPS: 9349\nRSA to YSB: 10123\nRSA to JOI: 1904\nRSA to BLJ: 11155\nRSA to CAB: 9124\nRSA to VCA: 19697\nRSA to YHP: 11238\nBLJ to AXD: 2549\nBLJ to SPS: 9175\nBLJ to YSB: 7414\nBLJ to JOI: 9273\nBLJ to CAB: 6374\nBLJ to VCA: 11203\nBLJ to YHP: 8534\nCAB to AXD: 7061\nCAB to SPS: 13466\nCAB to YSB: 11822\nCAB to JOI: 7298\nCAB to VCA: 11498\nCAB to YHP: 12945\nYHP to AXD: 9949\nYHP to SPS: 2583\nYHP to YSB: 1212\nYHP to JOI: 10036\nYHP to VCA: 14320\nJOI to AXD: 11225\nJOI to SPS: 8812\nJOI to YSB: 8921\nJOI to VCA: 17815\nAXD to SPS: 10600\nAXD to YSB: 8834\nAXD to VCA: 9450\nYSB to SPS: 2449\nYSB to VCA: 14471\nVCA to SPS: 15062\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTN, JIM, KHY, STD, GIU, MYQ, RVT, YYJ, JNX\n- Travel distances (in kilometers) between each pair of airports:\nHTN to YYJ: 11983\nHTN to JNX: 6423\nHTN to KHY: 4903\nHTN to JIM: 7306\nHTN to RVT: 10643\nHTN to STD: 15427\nHTN to MYQ: 5235\nHTN to GIU: 5837\nJIM to YYJ: 13654\nJIM to JNX: 3917\nJIM to KHY: 4049\nJIM to RVT: 10771\nJIM to STD: 13597\nJIM to MYQ: 4998\nJIM to GIU: 5614\nKHY to YYJ: 12590\nKHY to JNX: 3406\nKHY to RVT: 11348\nKHY to STD: 13053\nKHY to MYQ: 4685\nKHY to GIU: 5212\nSTD to YYJ: 7375\nSTD to JNX: 10186\nSTD to RVT: 20616\nSTD to MYQ: 16121\nSTD to GIU: 16646\nGIU to YYJ: 13792\nGIU to JNX: 6789\nGIU to RVT: 6866\nGIU to MYQ: 891\nMYQ to YYJ: 13845\nMYQ to JNX: 6264\nMYQ to RVT: 7592\nRVT to YYJ: 16020\nRVT to JNX: 12888\nYYJ to JNX: 10077\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59442,
"style": "rule"
}
|
{
"exact_answer": 59442,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTN\", \"id\": 0}, {\"name\": \"JIM\", \"id\": 1}, {\"name\": \"KHY\", \"id\": 2}, {\"name\": \"STD\", \"id\": 3}, {\"name\": \"GIU\", \"id\": 4}, {\"name\": \"MYQ\", \"id\": 5}, {\"name\": \"RVT\", \"id\": 6}, {\"name\": \"YYJ\", \"id\": 7}, {\"name\": \"JNX\", \"id\": 8}], \"links\": [{\"weight\": 11983, \"source\": 0, \"target\": 7}, {\"weight\": 6423, \"source\": 0, \"target\": 8}, {\"weight\": 4903, \"source\": 0, \"target\": 2}, {\"weight\": 7306, \"source\": 0, \"target\": 1}, {\"weight\": 10643, \"source\": 0, \"target\": 6}, {\"weight\": 15427, \"source\": 0, \"target\": 3}, {\"weight\": 5235, \"source\": 0, \"target\": 5}, {\"weight\": 5837, \"source\": 0, \"target\": 4}, {\"weight\": 13654, \"source\": 1, \"target\": 7}, {\"weight\": 3917, \"source\": 1, \"target\": 8}, {\"weight\": 4049, \"source\": 1, \"target\": 2}, {\"weight\": 10771, \"source\": 1, \"target\": 6}, {\"weight\": 13597, \"source\": 1, \"target\": 3}, {\"weight\": 4998, \"source\": 1, \"target\": 5}, {\"weight\": 5614, \"source\": 1, \"target\": 4}, {\"weight\": 12590, \"source\": 2, \"target\": 7}, {\"weight\": 3406, \"source\": 2, \"target\": 8}, {\"weight\": 11348, \"source\": 2, \"target\": 6}, {\"weight\": 13053, \"source\": 2, \"target\": 3}, {\"weight\": 4685, \"source\": 2, \"target\": 5}, {\"weight\": 5212, \"source\": 2, \"target\": 4}, {\"weight\": 7375, \"source\": 3, \"target\": 7}, {\"weight\": 10186, \"source\": 3, \"target\": 8}, {\"weight\": 20616, \"source\": 3, \"target\": 6}, {\"weight\": 16121, \"source\": 3, \"target\": 5}, {\"weight\": 16646, \"source\": 3, \"target\": 4}, {\"weight\": 13792, \"source\": 4, \"target\": 7}, {\"weight\": 6789, \"source\": 4, \"target\": 8}, {\"weight\": 6866, \"source\": 4, \"target\": 6}, {\"weight\": 891, \"source\": 4, \"target\": 5}, {\"weight\": 13845, \"source\": 5, \"target\": 7}, {\"weight\": 6264, \"source\": 5, \"target\": 8}, {\"weight\": 7592, \"source\": 5, \"target\": 6}, {\"weight\": 16020, \"source\": 6, \"target\": 7}, {\"weight\": 12888, \"source\": 6, \"target\": 8}, {\"weight\": 10077, \"source\": 7, \"target\": 8}]}",
"id": 2804,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTN, JIM, KHY, STD, GIU, MYQ, RVT, YYJ, JNX\n- Travel distances (in kilometers) between each pair of airports:\nHTN to YYJ: 11983\nHTN to JNX: 6423\nHTN to KHY: 4903\nHTN to JIM: 7306\nHTN to RVT: 10643\nHTN to STD: 15427\nHTN to MYQ: 5235\nHTN to GIU: 5837\nJIM to YYJ: 13654\nJIM to JNX: 3917\nJIM to KHY: 4049\nJIM to RVT: 10771\nJIM to STD: 13597\nJIM to MYQ: 4998\nJIM to GIU: 5614\nKHY to YYJ: 12590\nKHY to JNX: 3406\nKHY to RVT: 11348\nKHY to STD: 13053\nKHY to MYQ: 4685\nKHY to GIU: 5212\nSTD to YYJ: 7375\nSTD to JNX: 10186\nSTD to RVT: 20616\nSTD to MYQ: 16121\nSTD to GIU: 16646\nGIU to YYJ: 13792\nGIU to JNX: 6789\nGIU to RVT: 6866\nGIU to MYQ: 891\nMYQ to YYJ: 13845\nMYQ to JNX: 6264\nMYQ to RVT: 7592\nRVT to YYJ: 16020\nRVT to JNX: 12888\nYYJ to JNX: 10077\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, AZI, SKB, HUH, BYN, YIC, XMN, ATH, TXN\n- Travel distances (in kilometers) between each pair of airports:\nPZU to XMN: 8267\nPZU to ATH: 2432\nPZU to YIC: 7907\nPZU to SKB: 11351\nPZU to TXN: 8158\nPZU to BYN: 7468\nPZU to AZI: 2100\nPZU to HUH: 19540\nAZI to XMN: 6425\nAZI to ATH: 3400\nAZI to YIC: 6065\nAZI to SKB: 12188\nAZI to TXN: 6327\nAZI to BYN: 5814\nAZI to HUH: 17730\nSKB to XMN: 15494\nSKB to ATH: 8919\nSKB to YIC: 15161\nSKB to TXN: 14940\nSKB to BYN: 14299\nSKB to HUH: 12594\nHUH to XMN: 12090\nHUH to ATH: 17921\nHUH to YIC: 12551\nHUH to TXN: 11830\nHUH to BYN: 13179\nBYN to XMN: 3394\nBYN to ATH: 7312\nBYN to YIC: 3042\nBYN to TXN: 2821\nYIC to XMN: 1063\nYIC to ATH: 8763\nYIC to TXN: 1114\nXMN to TXN: 577\nXMN to ATH: 8781\nATH to TXN: 8408\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48371,
"style": "rule"
}
|
{
"exact_answer": 48371,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PZU\", \"id\": 0}, {\"name\": \"AZI\", \"id\": 1}, {\"name\": \"SKB\", \"id\": 2}, {\"name\": \"HUH\", \"id\": 3}, {\"name\": \"BYN\", \"id\": 4}, {\"name\": \"YIC\", \"id\": 5}, {\"name\": \"XMN\", \"id\": 6}, {\"name\": \"ATH\", \"id\": 7}, {\"name\": \"TXN\", \"id\": 8}], \"links\": [{\"weight\": 8267, \"source\": 0, \"target\": 6}, {\"weight\": 2432, \"source\": 0, \"target\": 7}, {\"weight\": 7907, \"source\": 0, \"target\": 5}, {\"weight\": 11351, \"source\": 0, \"target\": 2}, {\"weight\": 8158, \"source\": 0, \"target\": 8}, {\"weight\": 7468, \"source\": 0, \"target\": 4}, {\"weight\": 2100, \"source\": 0, \"target\": 1}, {\"weight\": 19540, \"source\": 0, \"target\": 3}, {\"weight\": 6425, \"source\": 1, \"target\": 6}, {\"weight\": 3400, \"source\": 1, \"target\": 7}, {\"weight\": 6065, \"source\": 1, \"target\": 5}, {\"weight\": 12188, \"source\": 1, \"target\": 2}, {\"weight\": 6327, \"source\": 1, \"target\": 8}, {\"weight\": 5814, \"source\": 1, \"target\": 4}, {\"weight\": 17730, \"source\": 1, \"target\": 3}, {\"weight\": 15494, \"source\": 2, \"target\": 6}, {\"weight\": 8919, \"source\": 2, \"target\": 7}, {\"weight\": 15161, \"source\": 2, \"target\": 5}, {\"weight\": 14940, \"source\": 2, \"target\": 8}, {\"weight\": 14299, \"source\": 2, \"target\": 4}, {\"weight\": 12594, \"source\": 2, \"target\": 3}, {\"weight\": 12090, \"source\": 3, \"target\": 6}, {\"weight\": 17921, \"source\": 3, \"target\": 7}, {\"weight\": 12551, \"source\": 3, \"target\": 5}, {\"weight\": 11830, \"source\": 3, \"target\": 8}, {\"weight\": 13179, \"source\": 3, \"target\": 4}, {\"weight\": 3394, \"source\": 4, \"target\": 6}, {\"weight\": 7312, \"source\": 4, \"target\": 7}, {\"weight\": 3042, \"source\": 4, \"target\": 5}, {\"weight\": 2821, \"source\": 4, \"target\": 8}, {\"weight\": 1063, \"source\": 5, \"target\": 6}, {\"weight\": 8763, \"source\": 5, \"target\": 7}, {\"weight\": 1114, \"source\": 5, \"target\": 8}, {\"weight\": 577, \"source\": 6, \"target\": 8}, {\"weight\": 8781, \"source\": 6, \"target\": 7}, {\"weight\": 8408, \"source\": 7, \"target\": 8}]}",
"id": 2805,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, AZI, SKB, HUH, BYN, YIC, XMN, ATH, TXN\n- Travel distances (in kilometers) between each pair of airports:\nPZU to XMN: 8267\nPZU to ATH: 2432\nPZU to YIC: 7907\nPZU to SKB: 11351\nPZU to TXN: 8158\nPZU to BYN: 7468\nPZU to AZI: 2100\nPZU to HUH: 19540\nAZI to XMN: 6425\nAZI to ATH: 3400\nAZI to YIC: 6065\nAZI to SKB: 12188\nAZI to TXN: 6327\nAZI to BYN: 5814\nAZI to HUH: 17730\nSKB to XMN: 15494\nSKB to ATH: 8919\nSKB to YIC: 15161\nSKB to TXN: 14940\nSKB to BYN: 14299\nSKB to HUH: 12594\nHUH to XMN: 12090\nHUH to ATH: 17921\nHUH to YIC: 12551\nHUH to TXN: 11830\nHUH to BYN: 13179\nBYN to XMN: 3394\nBYN to ATH: 7312\nBYN to YIC: 3042\nBYN to TXN: 2821\nYIC to XMN: 1063\nYIC to ATH: 8763\nYIC to TXN: 1114\nXMN to TXN: 577\nXMN to ATH: 8781\nATH to TXN: 8408\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FJR, FON, UYL, YXN, GMB, ATK, PIB, CHY, HTY\n- Travel distances (in kilometers) between each pair of airports:\nFJR to PIB: 13060\nFJR to FON: 14546\nFJR to YXN: 13266\nFJR to ATK: 15621\nFJR to GMB: 3326\nFJR to CHY: 13021\nFJR to UYL: 3844\nFJR to HTY: 2839\nFON to PIB: 3215\nFON to YXN: 6191\nFON to ATK: 8946\nFON to GMB: 14851\nFON to CHY: 15935\nFON to UYL: 14444\nFON to HTY: 12042\nUYL to PIB: 13283\nUYL to YXN: 13499\nUYL to ATK: 17005\nUYL to GMB: 2384\nUYL to CHY: 15986\nUYL to HTY: 3531\nYXN to PIB: 4026\nYXN to ATK: 6481\nYXN to GMB: 13834\nYXN to CHY: 15085\nYXN to HTY: 10753\nGMB to PIB: 13415\nGMB to ATK: 17383\nGMB to CHY: 15073\nGMB to HTY: 3569\nATK to PIB: 7276\nATK to CHY: 13431\nATK to HTY: 14115\nPIB to CHY: 15130\nPIB to HTY: 10589\nCHY to HTY: 15151\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61457,
"style": "rule"
}
|
{
"exact_answer": 61457,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FJR\", \"id\": 0}, {\"name\": \"FON\", \"id\": 1}, {\"name\": \"UYL\", \"id\": 2}, {\"name\": \"YXN\", \"id\": 3}, {\"name\": \"GMB\", \"id\": 4}, {\"name\": \"ATK\", \"id\": 5}, {\"name\": \"PIB\", \"id\": 6}, {\"name\": \"CHY\", \"id\": 7}, {\"name\": \"HTY\", \"id\": 8}], \"links\": [{\"weight\": 13060, \"source\": 0, \"target\": 6}, {\"weight\": 14546, \"source\": 0, \"target\": 1}, {\"weight\": 13266, \"source\": 0, \"target\": 3}, {\"weight\": 15621, \"source\": 0, \"target\": 5}, {\"weight\": 3326, \"source\": 0, \"target\": 4}, {\"weight\": 13021, \"source\": 0, \"target\": 7}, {\"weight\": 3844, \"source\": 0, \"target\": 2}, {\"weight\": 2839, \"source\": 0, \"target\": 8}, {\"weight\": 3215, \"source\": 1, \"target\": 6}, {\"weight\": 6191, \"source\": 1, \"target\": 3}, {\"weight\": 8946, \"source\": 1, \"target\": 5}, {\"weight\": 14851, \"source\": 1, \"target\": 4}, {\"weight\": 15935, \"source\": 1, \"target\": 7}, {\"weight\": 14444, \"source\": 1, \"target\": 2}, {\"weight\": 12042, \"source\": 1, \"target\": 8}, {\"weight\": 13283, \"source\": 2, \"target\": 6}, {\"weight\": 13499, \"source\": 2, \"target\": 3}, {\"weight\": 17005, \"source\": 2, \"target\": 5}, {\"weight\": 2384, \"source\": 2, \"target\": 4}, {\"weight\": 15986, \"source\": 2, \"target\": 7}, {\"weight\": 3531, \"source\": 2, \"target\": 8}, {\"weight\": 4026, \"source\": 3, \"target\": 6}, {\"weight\": 6481, \"source\": 3, \"target\": 5}, {\"weight\": 13834, \"source\": 3, \"target\": 4}, {\"weight\": 15085, \"source\": 3, \"target\": 7}, {\"weight\": 10753, \"source\": 3, \"target\": 8}, {\"weight\": 13415, \"source\": 4, \"target\": 6}, {\"weight\": 17383, \"source\": 4, \"target\": 5}, {\"weight\": 15073, \"source\": 4, \"target\": 7}, {\"weight\": 3569, \"source\": 4, \"target\": 8}, {\"weight\": 7276, \"source\": 5, \"target\": 6}, {\"weight\": 13431, \"source\": 5, \"target\": 7}, {\"weight\": 14115, \"source\": 5, \"target\": 8}, {\"weight\": 15130, \"source\": 6, \"target\": 7}, {\"weight\": 10589, \"source\": 6, \"target\": 8}, {\"weight\": 15151, \"source\": 7, \"target\": 8}]}",
"id": 2806,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FJR, FON, UYL, YXN, GMB, ATK, PIB, CHY, HTY\n- Travel distances (in kilometers) between each pair of airports:\nFJR to PIB: 13060\nFJR to FON: 14546\nFJR to YXN: 13266\nFJR to ATK: 15621\nFJR to GMB: 3326\nFJR to CHY: 13021\nFJR to UYL: 3844\nFJR to HTY: 2839\nFON to PIB: 3215\nFON to YXN: 6191\nFON to ATK: 8946\nFON to GMB: 14851\nFON to CHY: 15935\nFON to UYL: 14444\nFON to HTY: 12042\nUYL to PIB: 13283\nUYL to YXN: 13499\nUYL to ATK: 17005\nUYL to GMB: 2384\nUYL to CHY: 15986\nUYL to HTY: 3531\nYXN to PIB: 4026\nYXN to ATK: 6481\nYXN to GMB: 13834\nYXN to CHY: 15085\nYXN to HTY: 10753\nGMB to PIB: 13415\nGMB to ATK: 17383\nGMB to CHY: 15073\nGMB to HTY: 3569\nATK to PIB: 7276\nATK to CHY: 13431\nATK to HTY: 14115\nPIB to CHY: 15130\nPIB to HTY: 10589\nCHY to HTY: 15151\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNX, CJS, ORH, YTL, NAT, SMS, DSK, DYR, VFA\n- Travel distances (in kilometers) between each pair of airports:\nCNX to CJS: 14289\nCNX to NAT: 16111\nCNX to ORH: 16845\nCNX to VFA: 10096\nCNX to SMS: 7771\nCNX to DSK: 3744\nCNX to DYR: 7724\nCNX to YTL: 14085\nCJS to NAT: 9010\nCJS to ORH: 4496\nCJS to VFA: 16394\nCJS to SMS: 18021\nCJS to DSK: 14604\nCJS to DYR: 14505\nCJS to YTL: 4067\nORH to NAT: 8092\nORH to VFA: 16162\nORH to SMS: 17908\nORH to DSK: 14660\nORH to DYR: 17042\nORH to YTL: 5072\nYTL to NAT: 9126\nYTL to VFA: 15086\nYTL to SMS: 16589\nYTL to DSK: 12990\nYTL to DYR: 14514\nNAT to VFA: 10550\nNAT to SMS: 12175\nNAT to DSK: 12898\nNAT to DYR: 15788\nSMS to VFA: 3374\nSMS to DSK: 7465\nSMS to DYR: 14859\nDSK to VFA: 7612\nDSK to DYR: 9105\nDYR to VFA: 15094\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64026,
"style": "rule"
}
|
{
"exact_answer": 64026,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CNX\", \"id\": 0}, {\"name\": \"CJS\", \"id\": 1}, {\"name\": \"ORH\", \"id\": 2}, {\"name\": \"YTL\", \"id\": 3}, {\"name\": \"NAT\", \"id\": 4}, {\"name\": \"SMS\", \"id\": 5}, {\"name\": \"DSK\", \"id\": 6}, {\"name\": \"DYR\", \"id\": 7}, {\"name\": \"VFA\", \"id\": 8}], \"links\": [{\"weight\": 14289, \"source\": 0, \"target\": 1}, {\"weight\": 16111, \"source\": 0, \"target\": 4}, {\"weight\": 16845, \"source\": 0, \"target\": 2}, {\"weight\": 10096, \"source\": 0, \"target\": 8}, {\"weight\": 7771, \"source\": 0, \"target\": 5}, {\"weight\": 3744, \"source\": 0, \"target\": 6}, {\"weight\": 7724, \"source\": 0, \"target\": 7}, {\"weight\": 14085, \"source\": 0, \"target\": 3}, {\"weight\": 9010, \"source\": 1, \"target\": 4}, {\"weight\": 4496, \"source\": 1, \"target\": 2}, {\"weight\": 16394, \"source\": 1, \"target\": 8}, {\"weight\": 18021, \"source\": 1, \"target\": 5}, {\"weight\": 14604, \"source\": 1, \"target\": 6}, {\"weight\": 14505, \"source\": 1, \"target\": 7}, {\"weight\": 4067, \"source\": 1, \"target\": 3}, {\"weight\": 8092, \"source\": 2, \"target\": 4}, {\"weight\": 16162, \"source\": 2, \"target\": 8}, {\"weight\": 17908, \"source\": 2, \"target\": 5}, {\"weight\": 14660, \"source\": 2, \"target\": 6}, {\"weight\": 17042, \"source\": 2, \"target\": 7}, {\"weight\": 5072, \"source\": 2, \"target\": 3}, {\"weight\": 9126, \"source\": 3, \"target\": 4}, {\"weight\": 15086, \"source\": 3, \"target\": 8}, {\"weight\": 16589, \"source\": 3, \"target\": 5}, {\"weight\": 12990, \"source\": 3, \"target\": 6}, {\"weight\": 14514, \"source\": 3, \"target\": 7}, {\"weight\": 10550, \"source\": 4, \"target\": 8}, {\"weight\": 12175, \"source\": 4, \"target\": 5}, {\"weight\": 12898, \"source\": 4, \"target\": 6}, {\"weight\": 15788, \"source\": 4, \"target\": 7}, {\"weight\": 3374, \"source\": 5, \"target\": 8}, {\"weight\": 7465, \"source\": 5, \"target\": 6}, {\"weight\": 14859, \"source\": 5, \"target\": 7}, {\"weight\": 7612, \"source\": 6, \"target\": 8}, {\"weight\": 9105, \"source\": 6, \"target\": 7}, {\"weight\": 15094, \"source\": 7, \"target\": 8}]}",
"id": 2807,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNX, CJS, ORH, YTL, NAT, SMS, DSK, DYR, VFA\n- Travel distances (in kilometers) between each pair of airports:\nCNX to CJS: 14289\nCNX to NAT: 16111\nCNX to ORH: 16845\nCNX to VFA: 10096\nCNX to SMS: 7771\nCNX to DSK: 3744\nCNX to DYR: 7724\nCNX to YTL: 14085\nCJS to NAT: 9010\nCJS to ORH: 4496\nCJS to VFA: 16394\nCJS to SMS: 18021\nCJS to DSK: 14604\nCJS to DYR: 14505\nCJS to YTL: 4067\nORH to NAT: 8092\nORH to VFA: 16162\nORH to SMS: 17908\nORH to DSK: 14660\nORH to DYR: 17042\nORH to YTL: 5072\nYTL to NAT: 9126\nYTL to VFA: 15086\nYTL to SMS: 16589\nYTL to DSK: 12990\nYTL to DYR: 14514\nNAT to VFA: 10550\nNAT to SMS: 12175\nNAT to DSK: 12898\nNAT to DYR: 15788\nSMS to VFA: 3374\nSMS to DSK: 7465\nSMS to DYR: 14859\nDSK to VFA: 7612\nDSK to DYR: 9105\nDYR to VFA: 15094\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DGA, FMM, LNV, TTQ, SDE, LAP, PMO, AQG, STL\n- Travel distances (in kilometers) between each pair of airports:\nDGA to STL: 2462\nDGA to FMM: 9306\nDGA to LAP: 2696\nDGA to PMO: 9830\nDGA to TTQ: 1109\nDGA to SDE: 7690\nDGA to LNV: 16759\nDGA to AQG: 14217\nFMM to STL: 7615\nFMM to LAP: 10328\nFMM to PMO: 1169\nFMM to TTQ: 10016\nFMM to SDE: 12375\nFMM to LNV: 15282\nFMM to AQG: 8912\nLNV to STL: 15765\nLNV to LAP: 14989\nLNV to PMO: 15456\nLNV to TTQ: 17689\nLNV to SDE: 17052\nLNV to AQG: 6692\nTTQ to STL: 3475\nTTQ to LAP: 3282\nTTQ to PMO: 10051\nTTQ to SDE: 6777\nTTQ to AQG: 15214\nSDE to STL: 9879\nSDE to LAP: 9627\nSDE to PMO: 12129\nSDE to AQG: 20856\nLAP to STL: 2723\nLAP to PMO: 11141\nLAP to AQG: 12660\nPMO to STL: 8439\nPMO to AQG: 9201\nAQG to STL: 12033\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55034,
"style": "rule"
}
|
{
"exact_answer": 55034,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DGA\", \"id\": 0}, {\"name\": \"FMM\", \"id\": 1}, {\"name\": \"LNV\", \"id\": 2}, {\"name\": \"TTQ\", \"id\": 3}, {\"name\": \"SDE\", \"id\": 4}, {\"name\": \"LAP\", \"id\": 5}, {\"name\": \"PMO\", \"id\": 6}, {\"name\": \"AQG\", \"id\": 7}, {\"name\": \"STL\", \"id\": 8}], \"links\": [{\"weight\": 2462, \"source\": 0, \"target\": 8}, {\"weight\": 9306, \"source\": 0, \"target\": 1}, {\"weight\": 2696, \"source\": 0, \"target\": 5}, {\"weight\": 9830, \"source\": 0, \"target\": 6}, {\"weight\": 1109, \"source\": 0, \"target\": 3}, {\"weight\": 7690, \"source\": 0, \"target\": 4}, {\"weight\": 16759, \"source\": 0, \"target\": 2}, {\"weight\": 14217, \"source\": 0, \"target\": 7}, {\"weight\": 7615, \"source\": 1, \"target\": 8}, {\"weight\": 10328, \"source\": 1, \"target\": 5}, {\"weight\": 1169, \"source\": 1, \"target\": 6}, {\"weight\": 10016, \"source\": 1, \"target\": 3}, {\"weight\": 12375, \"source\": 1, \"target\": 4}, {\"weight\": 15282, \"source\": 1, \"target\": 2}, {\"weight\": 8912, \"source\": 1, \"target\": 7}, {\"weight\": 15765, \"source\": 2, \"target\": 8}, {\"weight\": 14989, \"source\": 2, \"target\": 5}, {\"weight\": 15456, \"source\": 2, \"target\": 6}, {\"weight\": 17689, \"source\": 2, \"target\": 3}, {\"weight\": 17052, \"source\": 2, \"target\": 4}, {\"weight\": 6692, \"source\": 2, \"target\": 7}, {\"weight\": 3475, \"source\": 3, \"target\": 8}, {\"weight\": 3282, \"source\": 3, \"target\": 5}, {\"weight\": 10051, \"source\": 3, \"target\": 6}, {\"weight\": 6777, \"source\": 3, \"target\": 4}, {\"weight\": 15214, \"source\": 3, \"target\": 7}, {\"weight\": 9879, \"source\": 4, \"target\": 8}, {\"weight\": 9627, \"source\": 4, \"target\": 5}, {\"weight\": 12129, \"source\": 4, \"target\": 6}, {\"weight\": 20856, \"source\": 4, \"target\": 7}, {\"weight\": 2723, \"source\": 5, \"target\": 8}, {\"weight\": 11141, \"source\": 5, \"target\": 6}, {\"weight\": 12660, \"source\": 5, \"target\": 7}, {\"weight\": 8439, \"source\": 6, \"target\": 8}, {\"weight\": 9201, \"source\": 6, \"target\": 7}, {\"weight\": 12033, \"source\": 7, \"target\": 8}]}",
"id": 2808,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DGA, FMM, LNV, TTQ, SDE, LAP, PMO, AQG, STL\n- Travel distances (in kilometers) between each pair of airports:\nDGA to STL: 2462\nDGA to FMM: 9306\nDGA to LAP: 2696\nDGA to PMO: 9830\nDGA to TTQ: 1109\nDGA to SDE: 7690\nDGA to LNV: 16759\nDGA to AQG: 14217\nFMM to STL: 7615\nFMM to LAP: 10328\nFMM to PMO: 1169\nFMM to TTQ: 10016\nFMM to SDE: 12375\nFMM to LNV: 15282\nFMM to AQG: 8912\nLNV to STL: 15765\nLNV to LAP: 14989\nLNV to PMO: 15456\nLNV to TTQ: 17689\nLNV to SDE: 17052\nLNV to AQG: 6692\nTTQ to STL: 3475\nTTQ to LAP: 3282\nTTQ to PMO: 10051\nTTQ to SDE: 6777\nTTQ to AQG: 15214\nSDE to STL: 9879\nSDE to LAP: 9627\nSDE to PMO: 12129\nSDE to AQG: 20856\nLAP to STL: 2723\nLAP to PMO: 11141\nLAP to AQG: 12660\nPMO to STL: 8439\nPMO to AQG: 9201\nAQG to STL: 12033\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, EGN, DCA, VLY, NAY, BIS, YOP, INC, ATC\n- Travel distances (in kilometers) between each pair of airports:\nGES to INC: 4122\nGES to YOP: 12635\nGES to DCA: 14642\nGES to BIS: 13888\nGES to EGN: 11638\nGES to NAY: 3919\nGES to ATC: 16113\nGES to VLY: 12233\nEGN to INC: 8810\nEGN to YOP: 13633\nEGN to DCA: 12085\nEGN to BIS: 13317\nEGN to NAY: 9559\nEGN to ATC: 13413\nEGN to VLY: 6665\nDCA to INC: 12066\nDCA to YOP: 3917\nDCA to BIS: 2113\nDCA to NAY: 11639\nDCA to ATC: 1713\nDCA to VLY: 5963\nVLY to INC: 8317\nVLY to YOP: 7671\nVLY to BIS: 7488\nVLY to NAY: 8999\nVLY to ATC: 7515\nNAY to INC: 908\nNAY to YOP: 10211\nNAY to BIS: 11342\nNAY to ATC: 13308\nBIS to INC: 12039\nBIS to YOP: 3042\nBIS to ATC: 3424\nYOP to INC: 10908\nYOP to ATC: 5228\nINC to ATC: 13735\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47079,
"style": "rule"
}
|
{
"exact_answer": 47079,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GES\", \"id\": 0}, {\"name\": \"EGN\", \"id\": 1}, {\"name\": \"DCA\", \"id\": 2}, {\"name\": \"VLY\", \"id\": 3}, {\"name\": \"NAY\", \"id\": 4}, {\"name\": \"BIS\", \"id\": 5}, {\"name\": \"YOP\", \"id\": 6}, {\"name\": \"INC\", \"id\": 7}, {\"name\": \"ATC\", \"id\": 8}], \"links\": [{\"weight\": 4122, \"source\": 0, \"target\": 7}, {\"weight\": 12635, \"source\": 0, \"target\": 6}, {\"weight\": 14642, \"source\": 0, \"target\": 2}, {\"weight\": 13888, \"source\": 0, \"target\": 5}, {\"weight\": 11638, \"source\": 0, \"target\": 1}, {\"weight\": 3919, \"source\": 0, \"target\": 4}, {\"weight\": 16113, \"source\": 0, \"target\": 8}, {\"weight\": 12233, \"source\": 0, \"target\": 3}, {\"weight\": 8810, \"source\": 1, \"target\": 7}, {\"weight\": 13633, \"source\": 1, \"target\": 6}, {\"weight\": 12085, \"source\": 1, \"target\": 2}, {\"weight\": 13317, \"source\": 1, \"target\": 5}, {\"weight\": 9559, \"source\": 1, \"target\": 4}, {\"weight\": 13413, \"source\": 1, \"target\": 8}, {\"weight\": 6665, \"source\": 1, \"target\": 3}, {\"weight\": 12066, \"source\": 2, \"target\": 7}, {\"weight\": 3917, \"source\": 2, \"target\": 6}, {\"weight\": 2113, \"source\": 2, \"target\": 5}, {\"weight\": 11639, \"source\": 2, \"target\": 4}, {\"weight\": 1713, \"source\": 2, \"target\": 8}, {\"weight\": 5963, \"source\": 2, \"target\": 3}, {\"weight\": 8317, \"source\": 3, \"target\": 7}, {\"weight\": 7671, \"source\": 3, \"target\": 6}, {\"weight\": 7488, \"source\": 3, \"target\": 5}, {\"weight\": 8999, \"source\": 3, \"target\": 4}, {\"weight\": 7515, \"source\": 3, \"target\": 8}, {\"weight\": 908, \"source\": 4, \"target\": 7}, {\"weight\": 10211, \"source\": 4, \"target\": 6}, {\"weight\": 11342, \"source\": 4, \"target\": 5}, {\"weight\": 13308, \"source\": 4, \"target\": 8}, {\"weight\": 12039, \"source\": 5, \"target\": 7}, {\"weight\": 3042, \"source\": 5, \"target\": 6}, {\"weight\": 3424, \"source\": 5, \"target\": 8}, {\"weight\": 10908, \"source\": 6, \"target\": 7}, {\"weight\": 5228, \"source\": 6, \"target\": 8}, {\"weight\": 13735, \"source\": 7, \"target\": 8}]}",
"id": 2809,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, EGN, DCA, VLY, NAY, BIS, YOP, INC, ATC\n- Travel distances (in kilometers) between each pair of airports:\nGES to INC: 4122\nGES to YOP: 12635\nGES to DCA: 14642\nGES to BIS: 13888\nGES to EGN: 11638\nGES to NAY: 3919\nGES to ATC: 16113\nGES to VLY: 12233\nEGN to INC: 8810\nEGN to YOP: 13633\nEGN to DCA: 12085\nEGN to BIS: 13317\nEGN to NAY: 9559\nEGN to ATC: 13413\nEGN to VLY: 6665\nDCA to INC: 12066\nDCA to YOP: 3917\nDCA to BIS: 2113\nDCA to NAY: 11639\nDCA to ATC: 1713\nDCA to VLY: 5963\nVLY to INC: 8317\nVLY to YOP: 7671\nVLY to BIS: 7488\nVLY to NAY: 8999\nVLY to ATC: 7515\nNAY to INC: 908\nNAY to YOP: 10211\nNAY to BIS: 11342\nNAY to ATC: 13308\nBIS to INC: 12039\nBIS to YOP: 3042\nBIS to ATC: 3424\nYOP to INC: 10908\nYOP to ATC: 5228\nINC to ATC: 13735\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROC, DUB, BKQ, MLB, AEP, WAE, KDO, KAZ, AUK\n- Travel distances (in kilometers) between each pair of airports:\nROC to DUB: 5352\nROC to AEP: 9168\nROC to AUK: 6121\nROC to MLB: 1713\nROC to BKQ: 16017\nROC to KAZ: 16656\nROC to KDO: 14481\nROC to WAE: 11120\nDUB to AEP: 11239\nDUB to AUK: 10601\nDUB to MLB: 6762\nDUB to BKQ: 16528\nDUB to KAZ: 13866\nDUB to KDO: 9216\nDUB to WAE: 5836\nBKQ to AEP: 13930\nBKQ to AUK: 13684\nBKQ to MLB: 16088\nBKQ to KAZ: 6381\nBKQ to KDO: 9701\nBKQ to WAE: 13236\nMLB to AEP: 8890\nMLB to AUK: 7037\nMLB to KAZ: 18070\nMLB to KDO: 15958\nMLB to WAE: 12518\nAEP to AUK: 14303\nAEP to KAZ: 19020\nAEP to KDO: 16932\nAEP to WAE: 12842\nWAE to AUK: 16050\nWAE to KAZ: 9850\nWAE to KDO: 4582\nKDO to AUK: 17956\nKDO to KAZ: 6315\nKAZ to AUK: 17123\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64369,
"style": "rule"
}
|
{
"exact_answer": 64369,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROC\", \"id\": 0}, {\"name\": \"DUB\", \"id\": 1}, {\"name\": \"BKQ\", \"id\": 2}, {\"name\": \"MLB\", \"id\": 3}, {\"name\": \"AEP\", \"id\": 4}, {\"name\": \"WAE\", \"id\": 5}, {\"name\": \"KDO\", \"id\": 6}, {\"name\": \"KAZ\", \"id\": 7}, {\"name\": \"AUK\", \"id\": 8}], \"links\": [{\"weight\": 5352, \"source\": 0, \"target\": 1}, {\"weight\": 9168, \"source\": 0, \"target\": 4}, {\"weight\": 6121, \"source\": 0, \"target\": 8}, {\"weight\": 1713, \"source\": 0, \"target\": 3}, {\"weight\": 16017, \"source\": 0, \"target\": 2}, {\"weight\": 16656, \"source\": 0, \"target\": 7}, {\"weight\": 14481, \"source\": 0, \"target\": 6}, {\"weight\": 11120, \"source\": 0, \"target\": 5}, {\"weight\": 11239, \"source\": 1, \"target\": 4}, {\"weight\": 10601, \"source\": 1, \"target\": 8}, {\"weight\": 6762, \"source\": 1, \"target\": 3}, {\"weight\": 16528, \"source\": 1, \"target\": 2}, {\"weight\": 13866, \"source\": 1, \"target\": 7}, {\"weight\": 9216, \"source\": 1, \"target\": 6}, {\"weight\": 5836, \"source\": 1, \"target\": 5}, {\"weight\": 13930, \"source\": 2, \"target\": 4}, {\"weight\": 13684, \"source\": 2, \"target\": 8}, {\"weight\": 16088, \"source\": 2, \"target\": 3}, {\"weight\": 6381, \"source\": 2, \"target\": 7}, {\"weight\": 9701, \"source\": 2, \"target\": 6}, {\"weight\": 13236, \"source\": 2, \"target\": 5}, {\"weight\": 8890, \"source\": 3, \"target\": 4}, {\"weight\": 7037, \"source\": 3, \"target\": 8}, {\"weight\": 18070, \"source\": 3, \"target\": 7}, {\"weight\": 15958, \"source\": 3, \"target\": 6}, {\"weight\": 12518, \"source\": 3, \"target\": 5}, {\"weight\": 14303, \"source\": 4, \"target\": 8}, {\"weight\": 19020, \"source\": 4, \"target\": 7}, {\"weight\": 16932, \"source\": 4, \"target\": 6}, {\"weight\": 12842, \"source\": 4, \"target\": 5}, {\"weight\": 16050, \"source\": 5, \"target\": 8}, {\"weight\": 9850, \"source\": 5, \"target\": 7}, {\"weight\": 4582, \"source\": 5, \"target\": 6}, {\"weight\": 17956, \"source\": 6, \"target\": 8}, {\"weight\": 6315, \"source\": 6, \"target\": 7}, {\"weight\": 17123, \"source\": 7, \"target\": 8}]}",
"id": 2810,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROC, DUB, BKQ, MLB, AEP, WAE, KDO, KAZ, AUK\n- Travel distances (in kilometers) between each pair of airports:\nROC to DUB: 5352\nROC to AEP: 9168\nROC to AUK: 6121\nROC to MLB: 1713\nROC to BKQ: 16017\nROC to KAZ: 16656\nROC to KDO: 14481\nROC to WAE: 11120\nDUB to AEP: 11239\nDUB to AUK: 10601\nDUB to MLB: 6762\nDUB to BKQ: 16528\nDUB to KAZ: 13866\nDUB to KDO: 9216\nDUB to WAE: 5836\nBKQ to AEP: 13930\nBKQ to AUK: 13684\nBKQ to MLB: 16088\nBKQ to KAZ: 6381\nBKQ to KDO: 9701\nBKQ to WAE: 13236\nMLB to AEP: 8890\nMLB to AUK: 7037\nMLB to KAZ: 18070\nMLB to KDO: 15958\nMLB to WAE: 12518\nAEP to AUK: 14303\nAEP to KAZ: 19020\nAEP to KDO: 16932\nAEP to WAE: 12842\nWAE to AUK: 16050\nWAE to KAZ: 9850\nWAE to KDO: 4582\nKDO to AUK: 17956\nKDO to KAZ: 6315\nKAZ to AUK: 17123\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRO, NAO, CGK, LEI, CAP, SKZ, CYF, SPI, JKG\n- Travel distances (in kilometers) between each pair of airports:\nKRO to JKG: 3112\nKRO to CYF: 13778\nKRO to CGK: 8459\nKRO to SPI: 9941\nKRO to LEI: 5376\nKRO to NAO: 5555\nKRO to CAP: 11244\nKRO to SKZ: 4014\nNAO to JKG: 7591\nNAO to CYF: 13200\nNAO to CGK: 4232\nNAO to SPI: 12248\nNAO to LEI: 9954\nNAO to CAP: 14711\nNAO to SKZ: 4394\nCGK to JKG: 10839\nCGK to CYF: 16572\nCGK to SPI: 16058\nCGK to LEI: 12273\nCGK to CAP: 18541\nCGK to SKZ: 5926\nLEI to JKG: 2886\nLEI to CYF: 12230\nLEI to SPI: 7354\nLEI to CAP: 7511\nLEI to SKZ: 7080\nCAP to JKG: 8840\nCAP to CYF: 8264\nCAP to SPI: 2952\nCAP to SKZ: 13966\nSKZ to JKG: 6162\nSKZ to CYF: 16464\nSKZ to SPI: 12740\nCYF to JKG: 11374\nCYF to SPI: 5638\nSPI to JKG: 7441\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49471,
"style": "rule"
}
|
{
"exact_answer": 49471,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRO\", \"id\": 0}, {\"name\": \"NAO\", \"id\": 1}, {\"name\": \"CGK\", \"id\": 2}, {\"name\": \"LEI\", \"id\": 3}, {\"name\": \"CAP\", \"id\": 4}, {\"name\": \"SKZ\", \"id\": 5}, {\"name\": \"CYF\", \"id\": 6}, {\"name\": \"SPI\", \"id\": 7}, {\"name\": \"JKG\", \"id\": 8}], \"links\": [{\"weight\": 3112, \"source\": 0, \"target\": 8}, {\"weight\": 13778, \"source\": 0, \"target\": 6}, {\"weight\": 8459, \"source\": 0, \"target\": 2}, {\"weight\": 9941, \"source\": 0, \"target\": 7}, {\"weight\": 5376, \"source\": 0, \"target\": 3}, {\"weight\": 5555, \"source\": 0, \"target\": 1}, {\"weight\": 11244, \"source\": 0, \"target\": 4}, {\"weight\": 4014, \"source\": 0, \"target\": 5}, {\"weight\": 7591, \"source\": 1, \"target\": 8}, {\"weight\": 13200, \"source\": 1, \"target\": 6}, {\"weight\": 4232, \"source\": 1, \"target\": 2}, {\"weight\": 12248, \"source\": 1, \"target\": 7}, {\"weight\": 9954, \"source\": 1, \"target\": 3}, {\"weight\": 14711, \"source\": 1, \"target\": 4}, {\"weight\": 4394, \"source\": 1, \"target\": 5}, {\"weight\": 10839, \"source\": 2, \"target\": 8}, {\"weight\": 16572, \"source\": 2, \"target\": 6}, {\"weight\": 16058, \"source\": 2, \"target\": 7}, {\"weight\": 12273, \"source\": 2, \"target\": 3}, {\"weight\": 18541, \"source\": 2, \"target\": 4}, {\"weight\": 5926, \"source\": 2, \"target\": 5}, {\"weight\": 2886, \"source\": 3, \"target\": 8}, {\"weight\": 12230, \"source\": 3, \"target\": 6}, {\"weight\": 7354, \"source\": 3, \"target\": 7}, {\"weight\": 7511, \"source\": 3, \"target\": 4}, {\"weight\": 7080, \"source\": 3, \"target\": 5}, {\"weight\": 8840, \"source\": 4, \"target\": 8}, {\"weight\": 8264, \"source\": 4, \"target\": 6}, {\"weight\": 2952, \"source\": 4, \"target\": 7}, {\"weight\": 13966, \"source\": 4, \"target\": 5}, {\"weight\": 6162, \"source\": 5, \"target\": 8}, {\"weight\": 16464, \"source\": 5, \"target\": 6}, {\"weight\": 12740, \"source\": 5, \"target\": 7}, {\"weight\": 11374, \"source\": 6, \"target\": 8}, {\"weight\": 5638, \"source\": 6, \"target\": 7}, {\"weight\": 7441, \"source\": 7, \"target\": 8}]}",
"id": 2811,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRO, NAO, CGK, LEI, CAP, SKZ, CYF, SPI, JKG\n- Travel distances (in kilometers) between each pair of airports:\nKRO to JKG: 3112\nKRO to CYF: 13778\nKRO to CGK: 8459\nKRO to SPI: 9941\nKRO to LEI: 5376\nKRO to NAO: 5555\nKRO to CAP: 11244\nKRO to SKZ: 4014\nNAO to JKG: 7591\nNAO to CYF: 13200\nNAO to CGK: 4232\nNAO to SPI: 12248\nNAO to LEI: 9954\nNAO to CAP: 14711\nNAO to SKZ: 4394\nCGK to JKG: 10839\nCGK to CYF: 16572\nCGK to SPI: 16058\nCGK to LEI: 12273\nCGK to CAP: 18541\nCGK to SKZ: 5926\nLEI to JKG: 2886\nLEI to CYF: 12230\nLEI to SPI: 7354\nLEI to CAP: 7511\nLEI to SKZ: 7080\nCAP to JKG: 8840\nCAP to CYF: 8264\nCAP to SPI: 2952\nCAP to SKZ: 13966\nSKZ to JKG: 6162\nSKZ to CYF: 16464\nSKZ to SPI: 12740\nCYF to JKG: 11374\nCYF to SPI: 5638\nSPI to JKG: 7441\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZAD, MRS, KOK, ABR, JJN, SWF, SRX, BJX, GKA\n- Travel distances (in kilometers) between each pair of airports:\nZAD to MRS: 816\nZAD to KOK: 2293\nZAD to JJN: 9318\nZAD to BJX: 10370\nZAD to SWF: 7316\nZAD to GKA: 14655\nZAD to ABR: 8295\nZAD to SRX: 2207\nMRS to KOK: 2550\nMRS to JJN: 9925\nMRS to BJX: 9726\nMRS to SWF: 6815\nMRS to GKA: 15212\nMRS to ABR: 7838\nMRS to SRX: 1716\nKOK to JJN: 8241\nKOK to BJX: 10070\nKOK to SWF: 7192\nKOK to GKA: 13685\nKOK to ABR: 8355\nKOK to SRX: 3953\nABR to JJN: 12412\nABR to BJX: 3175\nABR to SWF: 2028\nABR to GKA: 15464\nABR to SRX: 9542\nJJN to BJX: 13380\nJJN to SWF: 12948\nJJN to GKA: 5795\nJJN to SRX: 10294\nSWF to BJX: 3464\nSWF to GKA: 16541\nSWF to SRX: 8207\nSRX to BJX: 11241\nSRX to GKA: 15540\nBJX to GKA: 14902\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47172,
"style": "rule"
}
|
{
"exact_answer": 47172,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZAD\", \"id\": 0}, {\"name\": \"MRS\", \"id\": 1}, {\"name\": \"KOK\", \"id\": 2}, {\"name\": \"ABR\", \"id\": 3}, {\"name\": \"JJN\", \"id\": 4}, {\"name\": \"SWF\", \"id\": 5}, {\"name\": \"SRX\", \"id\": 6}, {\"name\": \"BJX\", \"id\": 7}, {\"name\": \"GKA\", \"id\": 8}], \"links\": [{\"weight\": 816, \"source\": 0, \"target\": 1}, {\"weight\": 2293, \"source\": 0, \"target\": 2}, {\"weight\": 9318, \"source\": 0, \"target\": 4}, {\"weight\": 10370, \"source\": 0, \"target\": 7}, {\"weight\": 7316, \"source\": 0, \"target\": 5}, {\"weight\": 14655, \"source\": 0, \"target\": 8}, {\"weight\": 8295, \"source\": 0, \"target\": 3}, {\"weight\": 2207, \"source\": 0, \"target\": 6}, {\"weight\": 2550, \"source\": 1, \"target\": 2}, {\"weight\": 9925, \"source\": 1, \"target\": 4}, {\"weight\": 9726, \"source\": 1, \"target\": 7}, {\"weight\": 6815, \"source\": 1, \"target\": 5}, {\"weight\": 15212, \"source\": 1, \"target\": 8}, {\"weight\": 7838, \"source\": 1, \"target\": 3}, {\"weight\": 1716, \"source\": 1, \"target\": 6}, {\"weight\": 8241, \"source\": 2, \"target\": 4}, {\"weight\": 10070, \"source\": 2, \"target\": 7}, {\"weight\": 7192, \"source\": 2, \"target\": 5}, {\"weight\": 13685, \"source\": 2, \"target\": 8}, {\"weight\": 8355, \"source\": 2, \"target\": 3}, {\"weight\": 3953, \"source\": 2, \"target\": 6}, {\"weight\": 12412, \"source\": 3, \"target\": 4}, {\"weight\": 3175, \"source\": 3, \"target\": 7}, {\"weight\": 2028, \"source\": 3, \"target\": 5}, {\"weight\": 15464, \"source\": 3, \"target\": 8}, {\"weight\": 9542, \"source\": 3, \"target\": 6}, {\"weight\": 13380, \"source\": 4, \"target\": 7}, {\"weight\": 12948, \"source\": 4, \"target\": 5}, {\"weight\": 5795, \"source\": 4, \"target\": 8}, {\"weight\": 10294, \"source\": 4, \"target\": 6}, {\"weight\": 3464, \"source\": 5, \"target\": 7}, {\"weight\": 16541, \"source\": 5, \"target\": 8}, {\"weight\": 8207, \"source\": 5, \"target\": 6}, {\"weight\": 11241, \"source\": 6, \"target\": 7}, {\"weight\": 15540, \"source\": 6, \"target\": 8}, {\"weight\": 14902, \"source\": 7, \"target\": 8}]}",
"id": 2812,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZAD, MRS, KOK, ABR, JJN, SWF, SRX, BJX, GKA\n- Travel distances (in kilometers) between each pair of airports:\nZAD to MRS: 816\nZAD to KOK: 2293\nZAD to JJN: 9318\nZAD to BJX: 10370\nZAD to SWF: 7316\nZAD to GKA: 14655\nZAD to ABR: 8295\nZAD to SRX: 2207\nMRS to KOK: 2550\nMRS to JJN: 9925\nMRS to BJX: 9726\nMRS to SWF: 6815\nMRS to GKA: 15212\nMRS to ABR: 7838\nMRS to SRX: 1716\nKOK to JJN: 8241\nKOK to BJX: 10070\nKOK to SWF: 7192\nKOK to GKA: 13685\nKOK to ABR: 8355\nKOK to SRX: 3953\nABR to JJN: 12412\nABR to BJX: 3175\nABR to SWF: 2028\nABR to GKA: 15464\nABR to SRX: 9542\nJJN to BJX: 13380\nJJN to SWF: 12948\nJJN to GKA: 5795\nJJN to SRX: 10294\nSWF to BJX: 3464\nSWF to GKA: 16541\nSWF to SRX: 8207\nSRX to BJX: 11241\nSRX to GKA: 15540\nBJX to GKA: 14902\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OSM, MSN, YUB, RLK, PDV, JNN, AEY, SXI, UBA\n- Travel distances (in kilometers) between each pair of airports:\nOSM to UBA: 12028\nOSM to YUB: 12681\nOSM to MSN: 10334\nOSM to RLK: 7491\nOSM to PDV: 4916\nOSM to JNN: 7490\nOSM to AEY: 8392\nOSM to SXI: 2907\nMSN to UBA: 8304\nMSN to YUB: 4378\nMSN to RLK: 11516\nMSN to PDV: 8686\nMSN to JNN: 7011\nMSN to AEY: 8089\nMSN to SXI: 11928\nYUB to UBA: 12349\nYUB to RLK: 12350\nYUB to PDV: 11158\nYUB to JNN: 9189\nYUB to AEY: 10267\nYUB to SXI: 14275\nRLK to UBA: 17301\nRLK to PDV: 9463\nRLK to JNN: 10993\nRLK to AEY: 12071\nRLK to SXI: 5904\nPDV to UBA: 11133\nPDV to JNN: 5967\nPDV to AEY: 7045\nPDV to SXI: 6510\nJNN to UBA: 13014\nJNN to AEY: 2276\nJNN to SXI: 9084\nAEY to UBA: 14092\nAEY to SXI: 9986\nSXI to UBA: 13044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61078,
"style": "rule"
}
|
{
"exact_answer": 61078,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OSM\", \"id\": 0}, {\"name\": \"MSN\", \"id\": 1}, {\"name\": \"YUB\", \"id\": 2}, {\"name\": \"RLK\", \"id\": 3}, {\"name\": \"PDV\", \"id\": 4}, {\"name\": \"JNN\", \"id\": 5}, {\"name\": \"AEY\", \"id\": 6}, {\"name\": \"SXI\", \"id\": 7}, {\"name\": \"UBA\", \"id\": 8}], \"links\": [{\"weight\": 12028, \"source\": 0, \"target\": 8}, {\"weight\": 12681, \"source\": 0, \"target\": 2}, {\"weight\": 10334, \"source\": 0, \"target\": 1}, {\"weight\": 7491, \"source\": 0, \"target\": 3}, {\"weight\": 4916, \"source\": 0, \"target\": 4}, {\"weight\": 7490, \"source\": 0, \"target\": 5}, {\"weight\": 8392, \"source\": 0, \"target\": 6}, {\"weight\": 2907, \"source\": 0, \"target\": 7}, {\"weight\": 8304, \"source\": 1, \"target\": 8}, {\"weight\": 4378, \"source\": 1, \"target\": 2}, {\"weight\": 11516, \"source\": 1, \"target\": 3}, {\"weight\": 8686, \"source\": 1, \"target\": 4}, {\"weight\": 7011, \"source\": 1, \"target\": 5}, {\"weight\": 8089, \"source\": 1, \"target\": 6}, {\"weight\": 11928, \"source\": 1, \"target\": 7}, {\"weight\": 12349, \"source\": 2, \"target\": 8}, {\"weight\": 12350, \"source\": 2, \"target\": 3}, {\"weight\": 11158, \"source\": 2, \"target\": 4}, {\"weight\": 9189, \"source\": 2, \"target\": 5}, {\"weight\": 10267, \"source\": 2, \"target\": 6}, {\"weight\": 14275, \"source\": 2, \"target\": 7}, {\"weight\": 17301, \"source\": 3, \"target\": 8}, {\"weight\": 9463, \"source\": 3, \"target\": 4}, {\"weight\": 10993, \"source\": 3, \"target\": 5}, {\"weight\": 12071, \"source\": 3, \"target\": 6}, {\"weight\": 5904, \"source\": 3, \"target\": 7}, {\"weight\": 11133, \"source\": 4, \"target\": 8}, {\"weight\": 5967, \"source\": 4, \"target\": 5}, {\"weight\": 7045, \"source\": 4, \"target\": 6}, {\"weight\": 6510, \"source\": 4, \"target\": 7}, {\"weight\": 13014, \"source\": 5, \"target\": 8}, {\"weight\": 2276, \"source\": 5, \"target\": 6}, {\"weight\": 9084, \"source\": 5, \"target\": 7}, {\"weight\": 14092, \"source\": 6, \"target\": 8}, {\"weight\": 9986, \"source\": 6, \"target\": 7}, {\"weight\": 13044, \"source\": 7, \"target\": 8}]}",
"id": 2813,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OSM, MSN, YUB, RLK, PDV, JNN, AEY, SXI, UBA\n- Travel distances (in kilometers) between each pair of airports:\nOSM to UBA: 12028\nOSM to YUB: 12681\nOSM to MSN: 10334\nOSM to RLK: 7491\nOSM to PDV: 4916\nOSM to JNN: 7490\nOSM to AEY: 8392\nOSM to SXI: 2907\nMSN to UBA: 8304\nMSN to YUB: 4378\nMSN to RLK: 11516\nMSN to PDV: 8686\nMSN to JNN: 7011\nMSN to AEY: 8089\nMSN to SXI: 11928\nYUB to UBA: 12349\nYUB to RLK: 12350\nYUB to PDV: 11158\nYUB to JNN: 9189\nYUB to AEY: 10267\nYUB to SXI: 14275\nRLK to UBA: 17301\nRLK to PDV: 9463\nRLK to JNN: 10993\nRLK to AEY: 12071\nRLK to SXI: 5904\nPDV to UBA: 11133\nPDV to JNN: 5967\nPDV to AEY: 7045\nPDV to SXI: 6510\nJNN to UBA: 13014\nJNN to AEY: 2276\nJNN to SXI: 9084\nAEY to UBA: 14092\nAEY to SXI: 9986\nSXI to UBA: 13044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MYW, MVT, GVA, CIF, TNR, AJR, SJP, BLI\n- Travel distances (in kilometers) between each pair of airports:\nAAL to GVA: 1238\nAAL to AJR: 1212\nAAL to SJP: 10333\nAAL to TNR: 9207\nAAL to BLI: 7867\nAAL to CIF: 7549\nAAL to MYW: 8031\nAAL to MVT: 15939\nMYW to GVA: 7338\nMYW to AJR: 8695\nMYW to SJP: 10644\nMYW to TNR: 2006\nMYW to BLI: 15729\nMYW to CIF: 10396\nMYW to MVT: 18581\nMVT to GVA: 16434\nMVT to AJR: 16451\nMVT to SJP: 11346\nMVT to TNR: 16688\nMVT to BLI: 8611\nMVT to CIF: 11743\nGVA to AJR: 2344\nGVA to SJP: 9360\nGVA to TNR: 8470\nGVA to BLI: 8605\nGVA to CIF: 8470\nCIF to AJR: 7663\nCIF to SJP: 17818\nCIF to TNR: 10468\nCIF to BLI: 8740\nTNR to AJR: 9845\nTNR to SJP: 9993\nTNR to BLI: 16904\nAJR to SJP: 11525\nAJR to BLI: 8766\nSJP to BLI: 10907\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58147,
"style": "rule"
}
|
{
"exact_answer": 58147,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAL\", \"id\": 0}, {\"name\": \"MYW\", \"id\": 1}, {\"name\": \"MVT\", \"id\": 2}, {\"name\": \"GVA\", \"id\": 3}, {\"name\": \"CIF\", \"id\": 4}, {\"name\": \"TNR\", \"id\": 5}, {\"name\": \"AJR\", \"id\": 6}, {\"name\": \"SJP\", \"id\": 7}, {\"name\": \"BLI\", \"id\": 8}], \"links\": [{\"weight\": 1238, \"source\": 0, \"target\": 3}, {\"weight\": 1212, \"source\": 0, \"target\": 6}, {\"weight\": 10333, \"source\": 0, \"target\": 7}, {\"weight\": 9207, \"source\": 0, \"target\": 5}, {\"weight\": 7867, \"source\": 0, \"target\": 8}, {\"weight\": 7549, \"source\": 0, \"target\": 4}, {\"weight\": 8031, \"source\": 0, \"target\": 1}, {\"weight\": 15939, \"source\": 0, \"target\": 2}, {\"weight\": 7338, \"source\": 1, \"target\": 3}, {\"weight\": 8695, \"source\": 1, \"target\": 6}, {\"weight\": 10644, \"source\": 1, \"target\": 7}, {\"weight\": 2006, \"source\": 1, \"target\": 5}, {\"weight\": 15729, \"source\": 1, \"target\": 8}, {\"weight\": 10396, \"source\": 1, \"target\": 4}, {\"weight\": 18581, \"source\": 1, \"target\": 2}, {\"weight\": 16434, \"source\": 2, \"target\": 3}, {\"weight\": 16451, \"source\": 2, \"target\": 6}, {\"weight\": 11346, \"source\": 2, \"target\": 7}, {\"weight\": 16688, \"source\": 2, \"target\": 5}, {\"weight\": 8611, \"source\": 2, \"target\": 8}, {\"weight\": 11743, \"source\": 2, \"target\": 4}, {\"weight\": 2344, \"source\": 3, \"target\": 6}, {\"weight\": 9360, \"source\": 3, \"target\": 7}, {\"weight\": 8470, \"source\": 3, \"target\": 5}, {\"weight\": 8605, \"source\": 3, \"target\": 8}, {\"weight\": 8470, \"source\": 3, \"target\": 4}, {\"weight\": 7663, \"source\": 4, \"target\": 6}, {\"weight\": 17818, \"source\": 4, \"target\": 7}, {\"weight\": 10468, \"source\": 4, \"target\": 5}, {\"weight\": 8740, \"source\": 4, \"target\": 8}, {\"weight\": 9845, \"source\": 5, \"target\": 6}, {\"weight\": 9993, \"source\": 5, \"target\": 7}, {\"weight\": 16904, \"source\": 5, \"target\": 8}, {\"weight\": 11525, \"source\": 6, \"target\": 7}, {\"weight\": 8766, \"source\": 6, \"target\": 8}, {\"weight\": 10907, \"source\": 7, \"target\": 8}]}",
"id": 2814,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MYW, MVT, GVA, CIF, TNR, AJR, SJP, BLI\n- Travel distances (in kilometers) between each pair of airports:\nAAL to GVA: 1238\nAAL to AJR: 1212\nAAL to SJP: 10333\nAAL to TNR: 9207\nAAL to BLI: 7867\nAAL to CIF: 7549\nAAL to MYW: 8031\nAAL to MVT: 15939\nMYW to GVA: 7338\nMYW to AJR: 8695\nMYW to SJP: 10644\nMYW to TNR: 2006\nMYW to BLI: 15729\nMYW to CIF: 10396\nMYW to MVT: 18581\nMVT to GVA: 16434\nMVT to AJR: 16451\nMVT to SJP: 11346\nMVT to TNR: 16688\nMVT to BLI: 8611\nMVT to CIF: 11743\nGVA to AJR: 2344\nGVA to SJP: 9360\nGVA to TNR: 8470\nGVA to BLI: 8605\nGVA to CIF: 8470\nCIF to AJR: 7663\nCIF to SJP: 17818\nCIF to TNR: 10468\nCIF to BLI: 8740\nTNR to AJR: 9845\nTNR to SJP: 9993\nTNR to BLI: 16904\nAJR to SJP: 11525\nAJR to BLI: 8766\nSJP to BLI: 10907\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRS, BFD, BNX, ESB, ATA, THD, RAK, LAN, MPN\n- Travel distances (in kilometers) between each pair of airports:\nMRS to RAK: 1755\nMRS to LAN: 6974\nMRS to ESB: 2321\nMRS to BNX: 1277\nMRS to MPN: 13642\nMRS to BFD: 7092\nMRS to THD: 11168\nMRS to ATA: 10624\nBFD to RAK: 6946\nBFD to LAN: 542\nBFD to ESB: 9106\nBFD to BNX: 7799\nBFD to MPN: 11699\nBFD to THD: 15469\nBFD to ATA: 6532\nBNX to RAK: 2983\nBNX to LAN: 7680\nBNX to ESB: 1398\nBNX to MPN: 14865\nBNX to THD: 10266\nBNX to ATA: 11782\nESB to RAK: 3871\nESB to LAN: 8979\nESB to MPN: 15459\nESB to THD: 8890\nESB to ATA: 12905\nATA to RAK: 9602\nATA to LAN: 6449\nATA to MPN: 5793\nATA to THD: 21154\nTHD to RAK: 12730\nTHD to LAN: 15165\nTHD to MPN: 22217\nRAK to LAN: 6843\nRAK to MPN: 11996\nLAN to MPN: 11616\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53348,
"style": "rule"
}
|
{
"exact_answer": 53348,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MRS\", \"id\": 0}, {\"name\": \"BFD\", \"id\": 1}, {\"name\": \"BNX\", \"id\": 2}, {\"name\": \"ESB\", \"id\": 3}, {\"name\": \"ATA\", \"id\": 4}, {\"name\": \"THD\", \"id\": 5}, {\"name\": \"RAK\", \"id\": 6}, {\"name\": \"LAN\", \"id\": 7}, {\"name\": \"MPN\", \"id\": 8}], \"links\": [{\"weight\": 1755, \"source\": 0, \"target\": 6}, {\"weight\": 6974, \"source\": 0, \"target\": 7}, {\"weight\": 2321, \"source\": 0, \"target\": 3}, {\"weight\": 1277, \"source\": 0, \"target\": 2}, {\"weight\": 13642, \"source\": 0, \"target\": 8}, {\"weight\": 7092, \"source\": 0, \"target\": 1}, {\"weight\": 11168, \"source\": 0, \"target\": 5}, {\"weight\": 10624, \"source\": 0, \"target\": 4}, {\"weight\": 6946, \"source\": 1, \"target\": 6}, {\"weight\": 542, \"source\": 1, \"target\": 7}, {\"weight\": 9106, \"source\": 1, \"target\": 3}, {\"weight\": 7799, \"source\": 1, \"target\": 2}, {\"weight\": 11699, \"source\": 1, \"target\": 8}, {\"weight\": 15469, \"source\": 1, \"target\": 5}, {\"weight\": 6532, \"source\": 1, \"target\": 4}, {\"weight\": 2983, \"source\": 2, \"target\": 6}, {\"weight\": 7680, \"source\": 2, \"target\": 7}, {\"weight\": 1398, \"source\": 2, \"target\": 3}, {\"weight\": 14865, \"source\": 2, \"target\": 8}, {\"weight\": 10266, \"source\": 2, \"target\": 5}, {\"weight\": 11782, \"source\": 2, \"target\": 4}, {\"weight\": 3871, \"source\": 3, \"target\": 6}, {\"weight\": 8979, \"source\": 3, \"target\": 7}, {\"weight\": 15459, \"source\": 3, \"target\": 8}, {\"weight\": 8890, \"source\": 3, \"target\": 5}, {\"weight\": 12905, \"source\": 3, \"target\": 4}, {\"weight\": 9602, \"source\": 4, \"target\": 6}, {\"weight\": 6449, \"source\": 4, \"target\": 7}, {\"weight\": 5793, \"source\": 4, \"target\": 8}, {\"weight\": 21154, \"source\": 4, \"target\": 5}, {\"weight\": 12730, \"source\": 5, \"target\": 6}, {\"weight\": 15165, \"source\": 5, \"target\": 7}, {\"weight\": 22217, \"source\": 5, \"target\": 8}, {\"weight\": 6843, \"source\": 6, \"target\": 7}, {\"weight\": 11996, \"source\": 6, \"target\": 8}, {\"weight\": 11616, \"source\": 7, \"target\": 8}]}",
"id": 2815,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRS, BFD, BNX, ESB, ATA, THD, RAK, LAN, MPN\n- Travel distances (in kilometers) between each pair of airports:\nMRS to RAK: 1755\nMRS to LAN: 6974\nMRS to ESB: 2321\nMRS to BNX: 1277\nMRS to MPN: 13642\nMRS to BFD: 7092\nMRS to THD: 11168\nMRS to ATA: 10624\nBFD to RAK: 6946\nBFD to LAN: 542\nBFD to ESB: 9106\nBFD to BNX: 7799\nBFD to MPN: 11699\nBFD to THD: 15469\nBFD to ATA: 6532\nBNX to RAK: 2983\nBNX to LAN: 7680\nBNX to ESB: 1398\nBNX to MPN: 14865\nBNX to THD: 10266\nBNX to ATA: 11782\nESB to RAK: 3871\nESB to LAN: 8979\nESB to MPN: 15459\nESB to THD: 8890\nESB to ATA: 12905\nATA to RAK: 9602\nATA to LAN: 6449\nATA to MPN: 5793\nATA to THD: 21154\nTHD to RAK: 12730\nTHD to LAN: 15165\nTHD to MPN: 22217\nRAK to LAN: 6843\nRAK to MPN: 11996\nLAN to MPN: 11616\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LMN, PNZ, NAY, CPD, WRO, HAU, OLP, IRC\n- Travel distances (in kilometers) between each pair of airports:\nUVF to WRO: 7987\nUVF to IRC: 9274\nUVF to PNZ: 4678\nUVF to HAU: 7731\nUVF to NAY: 14719\nUVF to LMN: 18394\nUVF to OLP: 18740\nUVF to CPD: 18969\nLMN to WRO: 10591\nLMN to IRC: 14869\nLMN to PNZ: 19071\nLMN to HAU: 11164\nLMN to NAY: 4225\nLMN to OLP: 6291\nLMN to CPD: 6520\nPNZ to WRO: 8941\nPNZ to IRC: 13767\nPNZ to HAU: 9004\nPNZ to NAY: 16500\nPNZ to OLP: 17328\nPNZ to CPD: 17557\nNAY to WRO: 7591\nNAY to IRC: 11595\nNAY to HAU: 7845\nNAY to OLP: 9203\nNAY to CPD: 9432\nCPD to WRO: 15904\nCPD to IRC: 15020\nCPD to HAU: 16478\nCPD to OLP: 1267\nWRO to IRC: 11197\nWRO to HAU: 1181\nWRO to OLP: 15675\nHAU to IRC: 10074\nHAU to OLP: 16249\nOLP to IRC: 14791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58531,
"style": "rule"
}
|
{
"exact_answer": 58531,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UVF\", \"id\": 0}, {\"name\": \"LMN\", \"id\": 1}, {\"name\": \"PNZ\", \"id\": 2}, {\"name\": \"NAY\", \"id\": 3}, {\"name\": \"CPD\", \"id\": 4}, {\"name\": \"WRO\", \"id\": 5}, {\"name\": \"HAU\", \"id\": 6}, {\"name\": \"OLP\", \"id\": 7}, {\"name\": \"IRC\", \"id\": 8}], \"links\": [{\"weight\": 7987, \"source\": 0, \"target\": 5}, {\"weight\": 9274, \"source\": 0, \"target\": 8}, {\"weight\": 4678, \"source\": 0, \"target\": 2}, {\"weight\": 7731, \"source\": 0, \"target\": 6}, {\"weight\": 14719, \"source\": 0, \"target\": 3}, {\"weight\": 18394, \"source\": 0, \"target\": 1}, {\"weight\": 18740, \"source\": 0, \"target\": 7}, {\"weight\": 18969, \"source\": 0, \"target\": 4}, {\"weight\": 10591, \"source\": 1, \"target\": 5}, {\"weight\": 14869, \"source\": 1, \"target\": 8}, {\"weight\": 19071, \"source\": 1, \"target\": 2}, {\"weight\": 11164, \"source\": 1, \"target\": 6}, {\"weight\": 4225, \"source\": 1, \"target\": 3}, {\"weight\": 6291, \"source\": 1, \"target\": 7}, {\"weight\": 6520, \"source\": 1, \"target\": 4}, {\"weight\": 8941, \"source\": 2, \"target\": 5}, {\"weight\": 13767, \"source\": 2, \"target\": 8}, {\"weight\": 9004, \"source\": 2, \"target\": 6}, {\"weight\": 16500, \"source\": 2, \"target\": 3}, {\"weight\": 17328, \"source\": 2, \"target\": 7}, {\"weight\": 17557, \"source\": 2, \"target\": 4}, {\"weight\": 7591, \"source\": 3, \"target\": 5}, {\"weight\": 11595, \"source\": 3, \"target\": 8}, {\"weight\": 7845, \"source\": 3, \"target\": 6}, {\"weight\": 9203, \"source\": 3, \"target\": 7}, {\"weight\": 9432, \"source\": 3, \"target\": 4}, {\"weight\": 15904, \"source\": 4, \"target\": 5}, {\"weight\": 15020, \"source\": 4, \"target\": 8}, {\"weight\": 16478, \"source\": 4, \"target\": 6}, {\"weight\": 1267, \"source\": 4, \"target\": 7}, {\"weight\": 11197, \"source\": 5, \"target\": 8}, {\"weight\": 1181, \"source\": 5, \"target\": 6}, {\"weight\": 15675, \"source\": 5, \"target\": 7}, {\"weight\": 10074, \"source\": 6, \"target\": 8}, {\"weight\": 16249, \"source\": 6, \"target\": 7}, {\"weight\": 14791, \"source\": 7, \"target\": 8}]}",
"id": 2816,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LMN, PNZ, NAY, CPD, WRO, HAU, OLP, IRC\n- Travel distances (in kilometers) between each pair of airports:\nUVF to WRO: 7987\nUVF to IRC: 9274\nUVF to PNZ: 4678\nUVF to HAU: 7731\nUVF to NAY: 14719\nUVF to LMN: 18394\nUVF to OLP: 18740\nUVF to CPD: 18969\nLMN to WRO: 10591\nLMN to IRC: 14869\nLMN to PNZ: 19071\nLMN to HAU: 11164\nLMN to NAY: 4225\nLMN to OLP: 6291\nLMN to CPD: 6520\nPNZ to WRO: 8941\nPNZ to IRC: 13767\nPNZ to HAU: 9004\nPNZ to NAY: 16500\nPNZ to OLP: 17328\nPNZ to CPD: 17557\nNAY to WRO: 7591\nNAY to IRC: 11595\nNAY to HAU: 7845\nNAY to OLP: 9203\nNAY to CPD: 9432\nCPD to WRO: 15904\nCPD to IRC: 15020\nCPD to HAU: 16478\nCPD to OLP: 1267\nWRO to IRC: 11197\nWRO to HAU: 1181\nWRO to OLP: 15675\nHAU to IRC: 10074\nHAU to OLP: 16249\nOLP to IRC: 14791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SNN, SOW, TUC, ZEL, GAM, CSX, MNL, ARM, YXH\n- Travel distances (in kilometers) between each pair of airports:\nSNN to MNL: 11181\nSNN to CSX: 9448\nSNN to GAM: 11208\nSNN to ZEL: 8048\nSNN to YXH: 7321\nSNN to TUC: 12289\nSNN to SOW: 8244\nSNN to ARM: 17811\nSOW to MNL: 12482\nSOW to CSX: 11892\nSOW to GAM: 5487\nSOW to ZEL: 2678\nSOW to YXH: 2441\nSOW to TUC: 10705\nSOW to ARM: 13242\nTUC to MNL: 19818\nTUC to CSX: 20663\nTUC to GAM: 15729\nTUC to ZEL: 12917\nTUC to YXH: 12374\nTUC to ARM: 13937\nZEL to MNL: 11045\nZEL to CSX: 10254\nZEL to GAM: 4199\nZEL to YXH: 1403\nZEL to ARM: 13373\nGAM to MNL: 14174\nGAM to CSX: 13471\nGAM to YXH: 4491\nGAM to ARM: 14205\nCSX to MNL: 1789\nCSX to YXH: 10711\nCSX to ARM: 8432\nMNL to YXH: 11258\nMNL to ARM: 6645\nARM to YXH: 13830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60934,
"style": "rule"
}
|
{
"exact_answer": 60934,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SNN\", \"id\": 0}, {\"name\": \"SOW\", \"id\": 1}, {\"name\": \"TUC\", \"id\": 2}, {\"name\": \"ZEL\", \"id\": 3}, {\"name\": \"GAM\", \"id\": 4}, {\"name\": \"CSX\", \"id\": 5}, {\"name\": \"MNL\", \"id\": 6}, {\"name\": \"ARM\", \"id\": 7}, {\"name\": \"YXH\", \"id\": 8}], \"links\": [{\"weight\": 11181, \"source\": 0, \"target\": 6}, {\"weight\": 9448, \"source\": 0, \"target\": 5}, {\"weight\": 11208, \"source\": 0, \"target\": 4}, {\"weight\": 8048, \"source\": 0, \"target\": 3}, {\"weight\": 7321, \"source\": 0, \"target\": 8}, {\"weight\": 12289, \"source\": 0, \"target\": 2}, {\"weight\": 8244, \"source\": 0, \"target\": 1}, {\"weight\": 17811, \"source\": 0, \"target\": 7}, {\"weight\": 12482, \"source\": 1, \"target\": 6}, {\"weight\": 11892, \"source\": 1, \"target\": 5}, {\"weight\": 5487, \"source\": 1, \"target\": 4}, {\"weight\": 2678, \"source\": 1, \"target\": 3}, {\"weight\": 2441, \"source\": 1, \"target\": 8}, {\"weight\": 10705, \"source\": 1, \"target\": 2}, {\"weight\": 13242, \"source\": 1, \"target\": 7}, {\"weight\": 19818, \"source\": 2, \"target\": 6}, {\"weight\": 20663, \"source\": 2, \"target\": 5}, {\"weight\": 15729, \"source\": 2, \"target\": 4}, {\"weight\": 12917, \"source\": 2, \"target\": 3}, {\"weight\": 12374, \"source\": 2, \"target\": 8}, {\"weight\": 13937, \"source\": 2, \"target\": 7}, {\"weight\": 11045, \"source\": 3, \"target\": 6}, {\"weight\": 10254, \"source\": 3, \"target\": 5}, {\"weight\": 4199, \"source\": 3, \"target\": 4}, {\"weight\": 1403, \"source\": 3, \"target\": 8}, {\"weight\": 13373, \"source\": 3, \"target\": 7}, {\"weight\": 14174, \"source\": 4, \"target\": 6}, {\"weight\": 13471, \"source\": 4, \"target\": 5}, {\"weight\": 4491, \"source\": 4, \"target\": 8}, {\"weight\": 14205, \"source\": 4, \"target\": 7}, {\"weight\": 1789, \"source\": 5, \"target\": 6}, {\"weight\": 10711, \"source\": 5, \"target\": 8}, {\"weight\": 8432, \"source\": 5, \"target\": 7}, {\"weight\": 11258, \"source\": 6, \"target\": 8}, {\"weight\": 6645, \"source\": 6, \"target\": 7}, {\"weight\": 13830, \"source\": 7, \"target\": 8}]}",
"id": 2817,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SNN, SOW, TUC, ZEL, GAM, CSX, MNL, ARM, YXH\n- Travel distances (in kilometers) between each pair of airports:\nSNN to MNL: 11181\nSNN to CSX: 9448\nSNN to GAM: 11208\nSNN to ZEL: 8048\nSNN to YXH: 7321\nSNN to TUC: 12289\nSNN to SOW: 8244\nSNN to ARM: 17811\nSOW to MNL: 12482\nSOW to CSX: 11892\nSOW to GAM: 5487\nSOW to ZEL: 2678\nSOW to YXH: 2441\nSOW to TUC: 10705\nSOW to ARM: 13242\nTUC to MNL: 19818\nTUC to CSX: 20663\nTUC to GAM: 15729\nTUC to ZEL: 12917\nTUC to YXH: 12374\nTUC to ARM: 13937\nZEL to MNL: 11045\nZEL to CSX: 10254\nZEL to GAM: 4199\nZEL to YXH: 1403\nZEL to ARM: 13373\nGAM to MNL: 14174\nGAM to CSX: 13471\nGAM to YXH: 4491\nGAM to ARM: 14205\nCSX to MNL: 1789\nCSX to YXH: 10711\nCSX to ARM: 8432\nMNL to YXH: 11258\nMNL to ARM: 6645\nARM to YXH: 13830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RTB, PLJ, KRS, ARC, MDU, YOP, IJK, SNP, MPN\n- Travel distances (in kilometers) between each pair of airports:\nRTB to IJK: 11266\nRTB to ARC: 7662\nRTB to YOP: 5426\nRTB to PLJ: 344\nRTB to SNP: 8244\nRTB to KRS: 8878\nRTB to MPN: 8880\nRTB to MDU: 16551\nPLJ to IJK: 11325\nPLJ to ARC: 7565\nPLJ to YOP: 5331\nPLJ to SNP: 8147\nPLJ to KRS: 8920\nPLJ to MPN: 9135\nPLJ to MDU: 16429\nKRS to IJK: 2729\nKRS to ARC: 10444\nKRS to YOP: 7350\nKRS to SNP: 11114\nKRS to MPN: 14982\nKRS to MDU: 14452\nARC to IJK: 12824\nARC to YOP: 4461\nARC to SNP: 2070\nARC to MPN: 16307\nARC to MDU: 14346\nMDU to IJK: 11879\nMDU to YOP: 14483\nMDU to SNP: 14734\nMDU to MPN: 17602\nYOP to IJK: 9730\nYOP to SNP: 5131\nYOP to MPN: 14198\nIJK to SNP: 13494\nIJK to MPN: 17293\nSNP to MPN: 16972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63462,
"style": "rule"
}
|
{
"exact_answer": 63462,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RTB\", \"id\": 0}, {\"name\": \"PLJ\", \"id\": 1}, {\"name\": \"KRS\", \"id\": 2}, {\"name\": \"ARC\", \"id\": 3}, {\"name\": \"MDU\", \"id\": 4}, {\"name\": \"YOP\", \"id\": 5}, {\"name\": \"IJK\", \"id\": 6}, {\"name\": \"SNP\", \"id\": 7}, {\"name\": \"MPN\", \"id\": 8}], \"links\": [{\"weight\": 11266, \"source\": 0, \"target\": 6}, {\"weight\": 7662, \"source\": 0, \"target\": 3}, {\"weight\": 5426, \"source\": 0, \"target\": 5}, {\"weight\": 344, \"source\": 0, \"target\": 1}, {\"weight\": 8244, \"source\": 0, \"target\": 7}, {\"weight\": 8878, \"source\": 0, \"target\": 2}, {\"weight\": 8880, \"source\": 0, \"target\": 8}, {\"weight\": 16551, \"source\": 0, \"target\": 4}, {\"weight\": 11325, \"source\": 1, \"target\": 6}, {\"weight\": 7565, \"source\": 1, \"target\": 3}, {\"weight\": 5331, \"source\": 1, \"target\": 5}, {\"weight\": 8147, \"source\": 1, \"target\": 7}, {\"weight\": 8920, \"source\": 1, \"target\": 2}, {\"weight\": 9135, \"source\": 1, \"target\": 8}, {\"weight\": 16429, \"source\": 1, \"target\": 4}, {\"weight\": 2729, \"source\": 2, \"target\": 6}, {\"weight\": 10444, \"source\": 2, \"target\": 3}, {\"weight\": 7350, \"source\": 2, \"target\": 5}, {\"weight\": 11114, \"source\": 2, \"target\": 7}, {\"weight\": 14982, \"source\": 2, \"target\": 8}, {\"weight\": 14452, \"source\": 2, \"target\": 4}, {\"weight\": 12824, \"source\": 3, \"target\": 6}, {\"weight\": 4461, \"source\": 3, \"target\": 5}, {\"weight\": 2070, \"source\": 3, \"target\": 7}, {\"weight\": 16307, \"source\": 3, \"target\": 8}, {\"weight\": 14346, \"source\": 3, \"target\": 4}, {\"weight\": 11879, \"source\": 4, \"target\": 6}, {\"weight\": 14483, \"source\": 4, \"target\": 5}, {\"weight\": 14734, \"source\": 4, \"target\": 7}, {\"weight\": 17602, \"source\": 4, \"target\": 8}, {\"weight\": 9730, \"source\": 5, \"target\": 6}, {\"weight\": 5131, \"source\": 5, \"target\": 7}, {\"weight\": 14198, \"source\": 5, \"target\": 8}, {\"weight\": 13494, \"source\": 6, \"target\": 7}, {\"weight\": 17293, \"source\": 6, \"target\": 8}, {\"weight\": 16972, \"source\": 7, \"target\": 8}]}",
"id": 2818,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RTB, PLJ, KRS, ARC, MDU, YOP, IJK, SNP, MPN\n- Travel distances (in kilometers) between each pair of airports:\nRTB to IJK: 11266\nRTB to ARC: 7662\nRTB to YOP: 5426\nRTB to PLJ: 344\nRTB to SNP: 8244\nRTB to KRS: 8878\nRTB to MPN: 8880\nRTB to MDU: 16551\nPLJ to IJK: 11325\nPLJ to ARC: 7565\nPLJ to YOP: 5331\nPLJ to SNP: 8147\nPLJ to KRS: 8920\nPLJ to MPN: 9135\nPLJ to MDU: 16429\nKRS to IJK: 2729\nKRS to ARC: 10444\nKRS to YOP: 7350\nKRS to SNP: 11114\nKRS to MPN: 14982\nKRS to MDU: 14452\nARC to IJK: 12824\nARC to YOP: 4461\nARC to SNP: 2070\nARC to MPN: 16307\nARC to MDU: 14346\nMDU to IJK: 11879\nMDU to YOP: 14483\nMDU to SNP: 14734\nMDU to MPN: 17602\nYOP to IJK: 9730\nYOP to SNP: 5131\nYOP to MPN: 14198\nIJK to SNP: 13494\nIJK to MPN: 17293\nSNP to MPN: 16972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBZ, TNJ, YHZ, LBE, GPS, GTE, JRO, SCO, OUL\n- Travel distances (in kilometers) between each pair of airports:\nPBZ to YHZ: 14288\nPBZ to JRO: 3887\nPBZ to OUL: 11141\nPBZ to GTE: 12592\nPBZ to SCO: 9201\nPBZ to GPS: 14200\nPBZ to TNJ: 11359\nPBZ to LBE: 15248\nTNJ to YHZ: 17135\nTNJ to JRO: 9475\nTNJ to OUL: 11475\nTNJ to GTE: 4192\nTNJ to SCO: 9002\nTNJ to GPS: 22256\nTNJ to LBE: 18459\nYHZ to JRO: 11660\nYHZ to OUL: 6745\nYHZ to GTE: 18288\nYHZ to SCO: 8523\nYHZ to GPS: 6700\nYHZ to LBE: 2585\nLBE to JRO: 14001\nLBE to OUL: 8627\nLBE to GTE: 18218\nLBE to SCO: 10767\nLBE to GPS: 5890\nGPS to JRO: 15271\nGPS to OUL: 12724\nGPS to GTE: 19086\nGPS to SCO: 14549\nGTE to JRO: 12031\nGTE to OUL: 13280\nGTE to SCO: 11152\nJRO to OUL: 7691\nJRO to SCO: 5543\nSCO to OUL: 3041\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61167,
"style": "rule"
}
|
{
"exact_answer": 61167,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PBZ\", \"id\": 0}, {\"name\": \"TNJ\", \"id\": 1}, {\"name\": \"YHZ\", \"id\": 2}, {\"name\": \"LBE\", \"id\": 3}, {\"name\": \"GPS\", \"id\": 4}, {\"name\": \"GTE\", \"id\": 5}, {\"name\": \"JRO\", \"id\": 6}, {\"name\": \"SCO\", \"id\": 7}, {\"name\": \"OUL\", \"id\": 8}], \"links\": [{\"weight\": 14288, \"source\": 0, \"target\": 2}, {\"weight\": 3887, \"source\": 0, \"target\": 6}, {\"weight\": 11141, \"source\": 0, \"target\": 8}, {\"weight\": 12592, \"source\": 0, \"target\": 5}, {\"weight\": 9201, \"source\": 0, \"target\": 7}, {\"weight\": 14200, \"source\": 0, \"target\": 4}, {\"weight\": 11359, \"source\": 0, \"target\": 1}, {\"weight\": 15248, \"source\": 0, \"target\": 3}, {\"weight\": 17135, \"source\": 1, \"target\": 2}, {\"weight\": 9475, \"source\": 1, \"target\": 6}, {\"weight\": 11475, \"source\": 1, \"target\": 8}, {\"weight\": 4192, \"source\": 1, \"target\": 5}, {\"weight\": 9002, \"source\": 1, \"target\": 7}, {\"weight\": 22256, \"source\": 1, \"target\": 4}, {\"weight\": 18459, \"source\": 1, \"target\": 3}, {\"weight\": 11660, \"source\": 2, \"target\": 6}, {\"weight\": 6745, \"source\": 2, \"target\": 8}, {\"weight\": 18288, \"source\": 2, \"target\": 5}, {\"weight\": 8523, \"source\": 2, \"target\": 7}, {\"weight\": 6700, \"source\": 2, \"target\": 4}, {\"weight\": 2585, \"source\": 2, \"target\": 3}, {\"weight\": 14001, \"source\": 3, \"target\": 6}, {\"weight\": 8627, \"source\": 3, \"target\": 8}, {\"weight\": 18218, \"source\": 3, \"target\": 5}, {\"weight\": 10767, \"source\": 3, \"target\": 7}, {\"weight\": 5890, \"source\": 3, \"target\": 4}, {\"weight\": 15271, \"source\": 4, \"target\": 6}, {\"weight\": 12724, \"source\": 4, \"target\": 8}, {\"weight\": 19086, \"source\": 4, \"target\": 5}, {\"weight\": 14549, \"source\": 4, \"target\": 7}, {\"weight\": 12031, \"source\": 5, \"target\": 6}, {\"weight\": 13280, \"source\": 5, \"target\": 8}, {\"weight\": 11152, \"source\": 5, \"target\": 7}, {\"weight\": 7691, \"source\": 6, \"target\": 8}, {\"weight\": 5543, \"source\": 6, \"target\": 7}, {\"weight\": 3041, \"source\": 7, \"target\": 8}]}",
"id": 2819,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBZ, TNJ, YHZ, LBE, GPS, GTE, JRO, SCO, OUL\n- Travel distances (in kilometers) between each pair of airports:\nPBZ to YHZ: 14288\nPBZ to JRO: 3887\nPBZ to OUL: 11141\nPBZ to GTE: 12592\nPBZ to SCO: 9201\nPBZ to GPS: 14200\nPBZ to TNJ: 11359\nPBZ to LBE: 15248\nTNJ to YHZ: 17135\nTNJ to JRO: 9475\nTNJ to OUL: 11475\nTNJ to GTE: 4192\nTNJ to SCO: 9002\nTNJ to GPS: 22256\nTNJ to LBE: 18459\nYHZ to JRO: 11660\nYHZ to OUL: 6745\nYHZ to GTE: 18288\nYHZ to SCO: 8523\nYHZ to GPS: 6700\nYHZ to LBE: 2585\nLBE to JRO: 14001\nLBE to OUL: 8627\nLBE to GTE: 18218\nLBE to SCO: 10767\nLBE to GPS: 5890\nGPS to JRO: 15271\nGPS to OUL: 12724\nGPS to GTE: 19086\nGPS to SCO: 14549\nGTE to JRO: 12031\nGTE to OUL: 13280\nGTE to SCO: 11152\nJRO to OUL: 7691\nJRO to SCO: 5543\nSCO to OUL: 3041\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBT, EIS, YPO, JST, SHG, IUI, SRY, VTZ, TUU\n- Travel distances (in kilometers) between each pair of airports:\nTBT to VTZ: 17443\nTBT to SHG: 12556\nTBT to EIS: 3861\nTBT to SRY: 14962\nTBT to TUU: 12978\nTBT to IUI: 12844\nTBT to JST: 6567\nTBT to YPO: 8286\nEIS to VTZ: 14810\nEIS to SHG: 9138\nEIS to SRY: 12148\nEIS to TUU: 10633\nEIS to IUI: 9093\nEIS to JST: 2827\nEIS to YPO: 4579\nYPO to VTZ: 14411\nYPO to SHG: 7372\nYPO to SRY: 12195\nYPO to TUU: 10725\nYPO to IUI: 8000\nYPO to JST: 2136\nJST to VTZ: 13653\nJST to SHG: 6808\nJST to SRY: 11628\nJST to TUU: 10115\nJST to IUI: 7127\nSHG to VTZ: 16482\nSHG to SRY: 16400\nSHG to TUU: 15097\nSHG to IUI: 11693\nIUI to VTZ: 11351\nIUI to SRY: 9192\nIUI to TUU: 7893\nSRY to VTZ: 3803\nSRY to TUU: 2405\nVTZ to TUU: 4917\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58426,
"style": "rule"
}
|
{
"exact_answer": 58426,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TBT\", \"id\": 0}, {\"name\": \"EIS\", \"id\": 1}, {\"name\": \"YPO\", \"id\": 2}, {\"name\": \"JST\", \"id\": 3}, {\"name\": \"SHG\", \"id\": 4}, {\"name\": \"IUI\", \"id\": 5}, {\"name\": \"SRY\", \"id\": 6}, {\"name\": \"VTZ\", \"id\": 7}, {\"name\": \"TUU\", \"id\": 8}], \"links\": [{\"weight\": 17443, \"source\": 0, \"target\": 7}, {\"weight\": 12556, \"source\": 0, \"target\": 4}, {\"weight\": 3861, \"source\": 0, \"target\": 1}, {\"weight\": 14962, \"source\": 0, \"target\": 6}, {\"weight\": 12978, \"source\": 0, \"target\": 8}, {\"weight\": 12844, \"source\": 0, \"target\": 5}, {\"weight\": 6567, \"source\": 0, \"target\": 3}, {\"weight\": 8286, \"source\": 0, \"target\": 2}, {\"weight\": 14810, \"source\": 1, \"target\": 7}, {\"weight\": 9138, \"source\": 1, \"target\": 4}, {\"weight\": 12148, \"source\": 1, \"target\": 6}, {\"weight\": 10633, \"source\": 1, \"target\": 8}, {\"weight\": 9093, \"source\": 1, \"target\": 5}, {\"weight\": 2827, \"source\": 1, \"target\": 3}, {\"weight\": 4579, \"source\": 1, \"target\": 2}, {\"weight\": 14411, \"source\": 2, \"target\": 7}, {\"weight\": 7372, \"source\": 2, \"target\": 4}, {\"weight\": 12195, \"source\": 2, \"target\": 6}, {\"weight\": 10725, \"source\": 2, \"target\": 8}, {\"weight\": 8000, \"source\": 2, \"target\": 5}, {\"weight\": 2136, \"source\": 2, \"target\": 3}, {\"weight\": 13653, \"source\": 3, \"target\": 7}, {\"weight\": 6808, \"source\": 3, \"target\": 4}, {\"weight\": 11628, \"source\": 3, \"target\": 6}, {\"weight\": 10115, \"source\": 3, \"target\": 8}, {\"weight\": 7127, \"source\": 3, \"target\": 5}, {\"weight\": 16482, \"source\": 4, \"target\": 7}, {\"weight\": 16400, \"source\": 4, \"target\": 6}, {\"weight\": 15097, \"source\": 4, \"target\": 8}, {\"weight\": 11693, \"source\": 4, \"target\": 5}, {\"weight\": 11351, \"source\": 5, \"target\": 7}, {\"weight\": 9192, \"source\": 5, \"target\": 6}, {\"weight\": 7893, \"source\": 5, \"target\": 8}, {\"weight\": 3803, \"source\": 6, \"target\": 7}, {\"weight\": 2405, \"source\": 6, \"target\": 8}, {\"weight\": 4917, \"source\": 7, \"target\": 8}]}",
"id": 2820,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBT, EIS, YPO, JST, SHG, IUI, SRY, VTZ, TUU\n- Travel distances (in kilometers) between each pair of airports:\nTBT to VTZ: 17443\nTBT to SHG: 12556\nTBT to EIS: 3861\nTBT to SRY: 14962\nTBT to TUU: 12978\nTBT to IUI: 12844\nTBT to JST: 6567\nTBT to YPO: 8286\nEIS to VTZ: 14810\nEIS to SHG: 9138\nEIS to SRY: 12148\nEIS to TUU: 10633\nEIS to IUI: 9093\nEIS to JST: 2827\nEIS to YPO: 4579\nYPO to VTZ: 14411\nYPO to SHG: 7372\nYPO to SRY: 12195\nYPO to TUU: 10725\nYPO to IUI: 8000\nYPO to JST: 2136\nJST to VTZ: 13653\nJST to SHG: 6808\nJST to SRY: 11628\nJST to TUU: 10115\nJST to IUI: 7127\nSHG to VTZ: 16482\nSHG to SRY: 16400\nSHG to TUU: 15097\nSHG to IUI: 11693\nIUI to VTZ: 11351\nIUI to SRY: 9192\nIUI to TUU: 7893\nSRY to VTZ: 3803\nSRY to TUU: 2405\nVTZ to TUU: 4917\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUZ, ODN, MGQ, BEY, TIM, BXB, LIN, IOM, CUK\n- Travel distances (in kilometers) between each pair of airports:\nBUZ to MGQ: 3413\nBUZ to LIN: 4458\nBUZ to CUK: 13551\nBUZ to BEY: 1917\nBUZ to IOM: 5540\nBUZ to TIM: 10242\nBUZ to BXB: 9834\nBUZ to ODN: 7562\nODN to MGQ: 9377\nODN to LIN: 11230\nODN to CUK: 16771\nODN to BEY: 9089\nODN to IOM: 11911\nODN to TIM: 3710\nODN to BXB: 3347\nMGQ to LIN: 6122\nMGQ to CUK: 15183\nMGQ to BEY: 3686\nMGQ to IOM: 7421\nMGQ to TIM: 11964\nMGQ to BXB: 11556\nBEY to LIN: 2684\nBEY to CUK: 11810\nBEY to IOM: 3844\nBEY to TIM: 11753\nBEY to BXB: 11345\nTIM to LIN: 14122\nTIM to CUK: 19669\nTIM to IOM: 14870\nTIM to BXB: 1836\nBXB to LIN: 13712\nBXB to CUK: 19306\nBXB to IOM: 14471\nLIN to CUK: 9285\nLIN to IOM: 1380\nIOM to CUK: 8119\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51386,
"style": "rule"
}
|
{
"exact_answer": 51386,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUZ\", \"id\": 0}, {\"name\": \"ODN\", \"id\": 1}, {\"name\": \"MGQ\", \"id\": 2}, {\"name\": \"BEY\", \"id\": 3}, {\"name\": \"TIM\", \"id\": 4}, {\"name\": \"BXB\", \"id\": 5}, {\"name\": \"LIN\", \"id\": 6}, {\"name\": \"IOM\", \"id\": 7}, {\"name\": \"CUK\", \"id\": 8}], \"links\": [{\"weight\": 3413, \"source\": 0, \"target\": 2}, {\"weight\": 4458, \"source\": 0, \"target\": 6}, {\"weight\": 13551, \"source\": 0, \"target\": 8}, {\"weight\": 1917, \"source\": 0, \"target\": 3}, {\"weight\": 5540, \"source\": 0, \"target\": 7}, {\"weight\": 10242, \"source\": 0, \"target\": 4}, {\"weight\": 9834, \"source\": 0, \"target\": 5}, {\"weight\": 7562, \"source\": 0, \"target\": 1}, {\"weight\": 9377, \"source\": 1, \"target\": 2}, {\"weight\": 11230, \"source\": 1, \"target\": 6}, {\"weight\": 16771, \"source\": 1, \"target\": 8}, {\"weight\": 9089, \"source\": 1, \"target\": 3}, {\"weight\": 11911, \"source\": 1, \"target\": 7}, {\"weight\": 3710, \"source\": 1, \"target\": 4}, {\"weight\": 3347, \"source\": 1, \"target\": 5}, {\"weight\": 6122, \"source\": 2, \"target\": 6}, {\"weight\": 15183, \"source\": 2, \"target\": 8}, {\"weight\": 3686, \"source\": 2, \"target\": 3}, {\"weight\": 7421, \"source\": 2, \"target\": 7}, {\"weight\": 11964, \"source\": 2, \"target\": 4}, {\"weight\": 11556, \"source\": 2, \"target\": 5}, {\"weight\": 2684, \"source\": 3, \"target\": 6}, {\"weight\": 11810, \"source\": 3, \"target\": 8}, {\"weight\": 3844, \"source\": 3, \"target\": 7}, {\"weight\": 11753, \"source\": 3, \"target\": 4}, {\"weight\": 11345, \"source\": 3, \"target\": 5}, {\"weight\": 14122, \"source\": 4, \"target\": 6}, {\"weight\": 19669, \"source\": 4, \"target\": 8}, {\"weight\": 14870, \"source\": 4, \"target\": 7}, {\"weight\": 1836, \"source\": 4, \"target\": 5}, {\"weight\": 13712, \"source\": 5, \"target\": 6}, {\"weight\": 19306, \"source\": 5, \"target\": 8}, {\"weight\": 14471, \"source\": 5, \"target\": 7}, {\"weight\": 9285, \"source\": 6, \"target\": 8}, {\"weight\": 1380, \"source\": 6, \"target\": 7}, {\"weight\": 8119, \"source\": 7, \"target\": 8}]}",
"id": 2821,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUZ, ODN, MGQ, BEY, TIM, BXB, LIN, IOM, CUK\n- Travel distances (in kilometers) between each pair of airports:\nBUZ to MGQ: 3413\nBUZ to LIN: 4458\nBUZ to CUK: 13551\nBUZ to BEY: 1917\nBUZ to IOM: 5540\nBUZ to TIM: 10242\nBUZ to BXB: 9834\nBUZ to ODN: 7562\nODN to MGQ: 9377\nODN to LIN: 11230\nODN to CUK: 16771\nODN to BEY: 9089\nODN to IOM: 11911\nODN to TIM: 3710\nODN to BXB: 3347\nMGQ to LIN: 6122\nMGQ to CUK: 15183\nMGQ to BEY: 3686\nMGQ to IOM: 7421\nMGQ to TIM: 11964\nMGQ to BXB: 11556\nBEY to LIN: 2684\nBEY to CUK: 11810\nBEY to IOM: 3844\nBEY to TIM: 11753\nBEY to BXB: 11345\nTIM to LIN: 14122\nTIM to CUK: 19669\nTIM to IOM: 14870\nTIM to BXB: 1836\nBXB to LIN: 13712\nBXB to CUK: 19306\nBXB to IOM: 14471\nLIN to CUK: 9285\nLIN to IOM: 1380\nIOM to CUK: 8119\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAG, LKG, ANX, DLE, PBD, MSQ, YBL, TCR, GRR\n- Travel distances (in kilometers) between each pair of airports:\nPAG to YBL: 11234\nPAG to PBD: 6443\nPAG to GRR: 13766\nPAG to MSQ: 9699\nPAG to LKG: 11342\nPAG to DLE: 14035\nPAG to TCR: 5719\nPAG to ANX: 11128\nLKG to YBL: 15682\nLKG to PBD: 6037\nLKG to GRR: 14188\nLKG to MSQ: 7294\nLKG to DLE: 9769\nLKG to TCR: 7150\nLKG to ANX: 9355\nANX to YBL: 8156\nANX to PBD: 7860\nANX to GRR: 7025\nANX to MSQ: 2119\nANX to DLE: 4765\nANX to TCR: 8753\nDLE to YBL: 10140\nDLE to PBD: 9674\nDLE to GRR: 7473\nDLE to MSQ: 4343\nDLE to TCR: 10787\nPBD to YBL: 13888\nPBD to GRR: 13517\nPBD to MSQ: 5961\nPBD to TCR: 1989\nMSQ to YBL: 8861\nMSQ to GRR: 7730\nMSQ to TCR: 7074\nYBL to GRR: 3131\nYBL to TCR: 14156\nTCR to GRR: 14478\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49761,
"style": "rule"
}
|
{
"exact_answer": 49761,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAG\", \"id\": 0}, {\"name\": \"LKG\", \"id\": 1}, {\"name\": \"ANX\", \"id\": 2}, {\"name\": \"DLE\", \"id\": 3}, {\"name\": \"PBD\", \"id\": 4}, {\"name\": \"MSQ\", \"id\": 5}, {\"name\": \"YBL\", \"id\": 6}, {\"name\": \"TCR\", \"id\": 7}, {\"name\": \"GRR\", \"id\": 8}], \"links\": [{\"weight\": 11234, \"source\": 0, \"target\": 6}, {\"weight\": 6443, \"source\": 0, \"target\": 4}, {\"weight\": 13766, \"source\": 0, \"target\": 8}, {\"weight\": 9699, \"source\": 0, \"target\": 5}, {\"weight\": 11342, \"source\": 0, \"target\": 1}, {\"weight\": 14035, \"source\": 0, \"target\": 3}, {\"weight\": 5719, \"source\": 0, \"target\": 7}, {\"weight\": 11128, \"source\": 0, \"target\": 2}, {\"weight\": 15682, \"source\": 1, \"target\": 6}, {\"weight\": 6037, \"source\": 1, \"target\": 4}, {\"weight\": 14188, \"source\": 1, \"target\": 8}, {\"weight\": 7294, \"source\": 1, \"target\": 5}, {\"weight\": 9769, \"source\": 1, \"target\": 3}, {\"weight\": 7150, \"source\": 1, \"target\": 7}, {\"weight\": 9355, \"source\": 1, \"target\": 2}, {\"weight\": 8156, \"source\": 2, \"target\": 6}, {\"weight\": 7860, \"source\": 2, \"target\": 4}, {\"weight\": 7025, \"source\": 2, \"target\": 8}, {\"weight\": 2119, \"source\": 2, \"target\": 5}, {\"weight\": 4765, \"source\": 2, \"target\": 3}, {\"weight\": 8753, \"source\": 2, \"target\": 7}, {\"weight\": 10140, \"source\": 3, \"target\": 6}, {\"weight\": 9674, \"source\": 3, \"target\": 4}, {\"weight\": 7473, \"source\": 3, \"target\": 8}, {\"weight\": 4343, \"source\": 3, \"target\": 5}, {\"weight\": 10787, \"source\": 3, \"target\": 7}, {\"weight\": 13888, \"source\": 4, \"target\": 6}, {\"weight\": 13517, \"source\": 4, \"target\": 8}, {\"weight\": 5961, \"source\": 4, \"target\": 5}, {\"weight\": 1989, \"source\": 4, \"target\": 7}, {\"weight\": 8861, \"source\": 5, \"target\": 6}, {\"weight\": 7730, \"source\": 5, \"target\": 8}, {\"weight\": 7074, \"source\": 5, \"target\": 7}, {\"weight\": 3131, \"source\": 6, \"target\": 8}, {\"weight\": 14156, \"source\": 6, \"target\": 7}, {\"weight\": 14478, \"source\": 7, \"target\": 8}]}",
"id": 2822,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAG, LKG, ANX, DLE, PBD, MSQ, YBL, TCR, GRR\n- Travel distances (in kilometers) between each pair of airports:\nPAG to YBL: 11234\nPAG to PBD: 6443\nPAG to GRR: 13766\nPAG to MSQ: 9699\nPAG to LKG: 11342\nPAG to DLE: 14035\nPAG to TCR: 5719\nPAG to ANX: 11128\nLKG to YBL: 15682\nLKG to PBD: 6037\nLKG to GRR: 14188\nLKG to MSQ: 7294\nLKG to DLE: 9769\nLKG to TCR: 7150\nLKG to ANX: 9355\nANX to YBL: 8156\nANX to PBD: 7860\nANX to GRR: 7025\nANX to MSQ: 2119\nANX to DLE: 4765\nANX to TCR: 8753\nDLE to YBL: 10140\nDLE to PBD: 9674\nDLE to GRR: 7473\nDLE to MSQ: 4343\nDLE to TCR: 10787\nPBD to YBL: 13888\nPBD to GRR: 13517\nPBD to MSQ: 5961\nPBD to TCR: 1989\nMSQ to YBL: 8861\nMSQ to GRR: 7730\nMSQ to TCR: 7074\nYBL to GRR: 3131\nYBL to TCR: 14156\nTCR to GRR: 14478\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXR, REN, AXR, CKD, LUV, SJD, LEN, JHM, SQS\n- Travel distances (in kilometers) between each pair of airports:\nIXR to SJD: 15422\nIXR to CKD: 15514\nIXR to SQS: 15762\nIXR to REN: 4156\nIXR to LEN: 8441\nIXR to LUV: 6616\nIXR to JHM: 11840\nIXR to AXR: 15435\nREN to SJD: 12178\nREN to CKD: 13263\nREN to SQS: 11703\nREN to LEN: 4903\nREN to LUV: 10692\nREN to JHM: 13903\nREN to AXR: 17624\nAXR to SJD: 8487\nAXR to CKD: 9891\nAXR to SQS: 10605\nAXR to LEN: 17544\nAXR to LUV: 13128\nAXR to JHM: 4960\nCKD to SJD: 5829\nCKD to SQS: 7482\nCKD to LEN: 12379\nCKD to LUV: 17573\nCKD to JHM: 5201\nLUV to SJD: 17193\nLUV to SQS: 19311\nLUV to LEN: 14938\nLUV to JHM: 12642\nSJD to SQS: 2629\nSJD to LEN: 10645\nSJD to JHM: 5627\nLEN to SQS: 9517\nLEN to JHM: 13859\nJHM to SQS: 7761\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56939,
"style": "rule"
}
|
{
"exact_answer": 56939,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXR\", \"id\": 0}, {\"name\": \"REN\", \"id\": 1}, {\"name\": \"AXR\", \"id\": 2}, {\"name\": \"CKD\", \"id\": 3}, {\"name\": \"LUV\", \"id\": 4}, {\"name\": \"SJD\", \"id\": 5}, {\"name\": \"LEN\", \"id\": 6}, {\"name\": \"JHM\", \"id\": 7}, {\"name\": \"SQS\", \"id\": 8}], \"links\": [{\"weight\": 15422, \"source\": 0, \"target\": 5}, {\"weight\": 15514, \"source\": 0, \"target\": 3}, {\"weight\": 15762, \"source\": 0, \"target\": 8}, {\"weight\": 4156, \"source\": 0, \"target\": 1}, {\"weight\": 8441, \"source\": 0, \"target\": 6}, {\"weight\": 6616, \"source\": 0, \"target\": 4}, {\"weight\": 11840, \"source\": 0, \"target\": 7}, {\"weight\": 15435, \"source\": 0, \"target\": 2}, {\"weight\": 12178, \"source\": 1, \"target\": 5}, {\"weight\": 13263, \"source\": 1, \"target\": 3}, {\"weight\": 11703, \"source\": 1, \"target\": 8}, {\"weight\": 4903, \"source\": 1, \"target\": 6}, {\"weight\": 10692, \"source\": 1, \"target\": 4}, {\"weight\": 13903, \"source\": 1, \"target\": 7}, {\"weight\": 17624, \"source\": 1, \"target\": 2}, {\"weight\": 8487, \"source\": 2, \"target\": 5}, {\"weight\": 9891, \"source\": 2, \"target\": 3}, {\"weight\": 10605, \"source\": 2, \"target\": 8}, {\"weight\": 17544, \"source\": 2, \"target\": 6}, {\"weight\": 13128, \"source\": 2, \"target\": 4}, {\"weight\": 4960, \"source\": 2, \"target\": 7}, {\"weight\": 5829, \"source\": 3, \"target\": 5}, {\"weight\": 7482, \"source\": 3, \"target\": 8}, {\"weight\": 12379, \"source\": 3, \"target\": 6}, {\"weight\": 17573, \"source\": 3, \"target\": 4}, {\"weight\": 5201, \"source\": 3, \"target\": 7}, {\"weight\": 17193, \"source\": 4, \"target\": 5}, {\"weight\": 19311, \"source\": 4, \"target\": 8}, {\"weight\": 14938, \"source\": 4, \"target\": 6}, {\"weight\": 12642, \"source\": 4, \"target\": 7}, {\"weight\": 2629, \"source\": 5, \"target\": 8}, {\"weight\": 10645, \"source\": 5, \"target\": 6}, {\"weight\": 5627, \"source\": 5, \"target\": 7}, {\"weight\": 9517, \"source\": 6, \"target\": 8}, {\"weight\": 13859, \"source\": 6, \"target\": 7}, {\"weight\": 7761, \"source\": 7, \"target\": 8}]}",
"id": 2823,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXR, REN, AXR, CKD, LUV, SJD, LEN, JHM, SQS\n- Travel distances (in kilometers) between each pair of airports:\nIXR to SJD: 15422\nIXR to CKD: 15514\nIXR to SQS: 15762\nIXR to REN: 4156\nIXR to LEN: 8441\nIXR to LUV: 6616\nIXR to JHM: 11840\nIXR to AXR: 15435\nREN to SJD: 12178\nREN to CKD: 13263\nREN to SQS: 11703\nREN to LEN: 4903\nREN to LUV: 10692\nREN to JHM: 13903\nREN to AXR: 17624\nAXR to SJD: 8487\nAXR to CKD: 9891\nAXR to SQS: 10605\nAXR to LEN: 17544\nAXR to LUV: 13128\nAXR to JHM: 4960\nCKD to SJD: 5829\nCKD to SQS: 7482\nCKD to LEN: 12379\nCKD to LUV: 17573\nCKD to JHM: 5201\nLUV to SJD: 17193\nLUV to SQS: 19311\nLUV to LEN: 14938\nLUV to JHM: 12642\nSJD to SQS: 2629\nSJD to LEN: 10645\nSJD to JHM: 5627\nLEN to SQS: 9517\nLEN to JHM: 13859\nJHM to SQS: 7761\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TIP, CGI, VCE, LVI, SEZ, LST, MUB, AXA, LUW\n- Travel distances (in kilometers) between each pair of airports:\nTIP to VCE: 1430\nTIP to AXA: 8743\nTIP to CGI: 9027\nTIP to LVI: 7494\nTIP to SEZ: 7365\nTIP to MUB: 8133\nTIP to LST: 16239\nTIP to LUW: 12444\nCGI to VCE: 8084\nCGI to AXA: 3719\nCGI to LVI: 14280\nCGI to SEZ: 15130\nCGI to MUB: 14177\nCGI to LST: 15712\nCGI to LUW: 16546\nVCE to AXA: 7576\nVCE to LVI: 8124\nVCE to SEZ: 7677\nVCE to MUB: 8763\nVCE to LST: 16550\nVCE to LUW: 12528\nLVI to AXA: 13388\nLVI to SEZ: 4295\nLVI to MUB: 1441\nLVI to LST: 12444\nLVI to LUW: 12056\nSEZ to AXA: 14766\nSEZ to MUB: 4599\nSEZ to LST: 10829\nSEZ to LUW: 8197\nLST to AXA: 18350\nLST to MUB: 12329\nLST to LUW: 6063\nMUB to AXA: 13273\nMUB to LUW: 11941\nAXA to LUW: 19416\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56231,
"style": "rule"
}
|
{
"exact_answer": 56231,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TIP\", \"id\": 0}, {\"name\": \"CGI\", \"id\": 1}, {\"name\": \"VCE\", \"id\": 2}, {\"name\": \"LVI\", \"id\": 3}, {\"name\": \"SEZ\", \"id\": 4}, {\"name\": \"LST\", \"id\": 5}, {\"name\": \"MUB\", \"id\": 6}, {\"name\": \"AXA\", \"id\": 7}, {\"name\": \"LUW\", \"id\": 8}], \"links\": [{\"weight\": 1430, \"source\": 0, \"target\": 2}, {\"weight\": 8743, \"source\": 0, \"target\": 7}, {\"weight\": 9027, \"source\": 0, \"target\": 1}, {\"weight\": 7494, \"source\": 0, \"target\": 3}, {\"weight\": 7365, \"source\": 0, \"target\": 4}, {\"weight\": 8133, \"source\": 0, \"target\": 6}, {\"weight\": 16239, \"source\": 0, \"target\": 5}, {\"weight\": 12444, \"source\": 0, \"target\": 8}, {\"weight\": 8084, \"source\": 1, \"target\": 2}, {\"weight\": 3719, \"source\": 1, \"target\": 7}, {\"weight\": 14280, \"source\": 1, \"target\": 3}, {\"weight\": 15130, \"source\": 1, \"target\": 4}, {\"weight\": 14177, \"source\": 1, \"target\": 6}, {\"weight\": 15712, \"source\": 1, \"target\": 5}, {\"weight\": 16546, \"source\": 1, \"target\": 8}, {\"weight\": 7576, \"source\": 2, \"target\": 7}, {\"weight\": 8124, \"source\": 2, \"target\": 3}, {\"weight\": 7677, \"source\": 2, \"target\": 4}, {\"weight\": 8763, \"source\": 2, \"target\": 6}, {\"weight\": 16550, \"source\": 2, \"target\": 5}, {\"weight\": 12528, \"source\": 2, \"target\": 8}, {\"weight\": 13388, \"source\": 3, \"target\": 7}, {\"weight\": 4295, \"source\": 3, \"target\": 4}, {\"weight\": 1441, \"source\": 3, \"target\": 6}, {\"weight\": 12444, \"source\": 3, \"target\": 5}, {\"weight\": 12056, \"source\": 3, \"target\": 8}, {\"weight\": 14766, \"source\": 4, \"target\": 7}, {\"weight\": 4599, \"source\": 4, \"target\": 6}, {\"weight\": 10829, \"source\": 4, \"target\": 5}, {\"weight\": 8197, \"source\": 4, \"target\": 8}, {\"weight\": 18350, \"source\": 5, \"target\": 7}, {\"weight\": 12329, \"source\": 5, \"target\": 6}, {\"weight\": 6063, \"source\": 5, \"target\": 8}, {\"weight\": 13273, \"source\": 6, \"target\": 7}, {\"weight\": 11941, \"source\": 6, \"target\": 8}, {\"weight\": 19416, \"source\": 7, \"target\": 8}]}",
"id": 2824,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TIP, CGI, VCE, LVI, SEZ, LST, MUB, AXA, LUW\n- Travel distances (in kilometers) between each pair of airports:\nTIP to VCE: 1430\nTIP to AXA: 8743\nTIP to CGI: 9027\nTIP to LVI: 7494\nTIP to SEZ: 7365\nTIP to MUB: 8133\nTIP to LST: 16239\nTIP to LUW: 12444\nCGI to VCE: 8084\nCGI to AXA: 3719\nCGI to LVI: 14280\nCGI to SEZ: 15130\nCGI to MUB: 14177\nCGI to LST: 15712\nCGI to LUW: 16546\nVCE to AXA: 7576\nVCE to LVI: 8124\nVCE to SEZ: 7677\nVCE to MUB: 8763\nVCE to LST: 16550\nVCE to LUW: 12528\nLVI to AXA: 13388\nLVI to SEZ: 4295\nLVI to MUB: 1441\nLVI to LST: 12444\nLVI to LUW: 12056\nSEZ to AXA: 14766\nSEZ to MUB: 4599\nSEZ to LST: 10829\nSEZ to LUW: 8197\nLST to AXA: 18350\nLST to MUB: 12329\nLST to LUW: 6063\nMUB to AXA: 13273\nMUB to LUW: 11941\nAXA to LUW: 19416\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAN, MOZ, CGN, ABL, AYT, DLZ, MLL, DOU, LEB\n- Travel distances (in kilometers) between each pair of airports:\nJAN to DOU: 7784\nJAN to CGN: 7781\nJAN to AYT: 10197\nJAN to MLL: 6197\nJAN to ABL: 6636\nJAN to LEB: 2065\nJAN to DLZ: 13325\nJAN to MOZ: 9266\nMOZ to DOU: 11367\nMOZ to CGN: 15813\nMOZ to AYT: 18144\nMOZ to MLL: 9554\nMOZ to ABL: 9993\nMOZ to LEB: 10920\nMOZ to DLZ: 13028\nCGN to AYT: 2431\nCGN to DOU: 10213\nCGN to MLL: 11041\nCGN to ABL: 11480\nCGN to LEB: 5933\nCGN to DLZ: 7207\nABL to DOU: 14076\nABL to AYT: 13838\nABL to MLL: 987\nABL to LEB: 7093\nABL to DLZ: 13762\nAYT to DOU: 11590\nAYT to MLL: 13399\nAYT to LEB: 8349\nAYT to DLZ: 6998\nDLZ to DOU: 17398\nDLZ to MLL: 13323\nDLZ to LEB: 12507\nMLL to DOU: 13637\nMLL to LEB: 6654\nDOU to LEB: 8254\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60153,
"style": "rule"
}
|
{
"exact_answer": 60153,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAN\", \"id\": 0}, {\"name\": \"MOZ\", \"id\": 1}, {\"name\": \"CGN\", \"id\": 2}, {\"name\": \"ABL\", \"id\": 3}, {\"name\": \"AYT\", \"id\": 4}, {\"name\": \"DLZ\", \"id\": 5}, {\"name\": \"MLL\", \"id\": 6}, {\"name\": \"DOU\", \"id\": 7}, {\"name\": \"LEB\", \"id\": 8}], \"links\": [{\"weight\": 7784, \"source\": 0, \"target\": 7}, {\"weight\": 7781, \"source\": 0, \"target\": 2}, {\"weight\": 10197, \"source\": 0, \"target\": 4}, {\"weight\": 6197, \"source\": 0, \"target\": 6}, {\"weight\": 6636, \"source\": 0, \"target\": 3}, {\"weight\": 2065, \"source\": 0, \"target\": 8}, {\"weight\": 13325, \"source\": 0, \"target\": 5}, {\"weight\": 9266, \"source\": 0, \"target\": 1}, {\"weight\": 11367, \"source\": 1, \"target\": 7}, {\"weight\": 15813, \"source\": 1, \"target\": 2}, {\"weight\": 18144, \"source\": 1, \"target\": 4}, {\"weight\": 9554, \"source\": 1, \"target\": 6}, {\"weight\": 9993, \"source\": 1, \"target\": 3}, {\"weight\": 10920, \"source\": 1, \"target\": 8}, {\"weight\": 13028, \"source\": 1, \"target\": 5}, {\"weight\": 2431, \"source\": 2, \"target\": 4}, {\"weight\": 10213, \"source\": 2, \"target\": 7}, {\"weight\": 11041, \"source\": 2, \"target\": 6}, {\"weight\": 11480, \"source\": 2, \"target\": 3}, {\"weight\": 5933, \"source\": 2, \"target\": 8}, {\"weight\": 7207, \"source\": 2, \"target\": 5}, {\"weight\": 14076, \"source\": 3, \"target\": 7}, {\"weight\": 13838, \"source\": 3, \"target\": 4}, {\"weight\": 987, \"source\": 3, \"target\": 6}, {\"weight\": 7093, \"source\": 3, \"target\": 8}, {\"weight\": 13762, \"source\": 3, \"target\": 5}, {\"weight\": 11590, \"source\": 4, \"target\": 7}, {\"weight\": 13399, \"source\": 4, \"target\": 6}, {\"weight\": 8349, \"source\": 4, \"target\": 8}, {\"weight\": 6998, \"source\": 4, \"target\": 5}, {\"weight\": 17398, \"source\": 5, \"target\": 7}, {\"weight\": 13323, \"source\": 5, \"target\": 6}, {\"weight\": 12507, \"source\": 5, \"target\": 8}, {\"weight\": 13637, \"source\": 6, \"target\": 7}, {\"weight\": 6654, \"source\": 6, \"target\": 8}, {\"weight\": 8254, \"source\": 7, \"target\": 8}]}",
"id": 2825,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAN, MOZ, CGN, ABL, AYT, DLZ, MLL, DOU, LEB\n- Travel distances (in kilometers) between each pair of airports:\nJAN to DOU: 7784\nJAN to CGN: 7781\nJAN to AYT: 10197\nJAN to MLL: 6197\nJAN to ABL: 6636\nJAN to LEB: 2065\nJAN to DLZ: 13325\nJAN to MOZ: 9266\nMOZ to DOU: 11367\nMOZ to CGN: 15813\nMOZ to AYT: 18144\nMOZ to MLL: 9554\nMOZ to ABL: 9993\nMOZ to LEB: 10920\nMOZ to DLZ: 13028\nCGN to AYT: 2431\nCGN to DOU: 10213\nCGN to MLL: 11041\nCGN to ABL: 11480\nCGN to LEB: 5933\nCGN to DLZ: 7207\nABL to DOU: 14076\nABL to AYT: 13838\nABL to MLL: 987\nABL to LEB: 7093\nABL to DLZ: 13762\nAYT to DOU: 11590\nAYT to MLL: 13399\nAYT to LEB: 8349\nAYT to DLZ: 6998\nDLZ to DOU: 17398\nDLZ to MLL: 13323\nDLZ to LEB: 12507\nMLL to DOU: 13637\nMLL to LEB: 6654\nDOU to LEB: 8254\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FIH, BCD, HAQ, GGG, YLL, TUB, BKY, ANF, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nFIH to BCD: 12296\nFIH to ANF: 10066\nFIH to YLL: 13791\nFIH to GGG: 12611\nFIH to BKY: 1501\nFIH to AOQ: 10723\nFIH to HAQ: 8326\nFIH to TUB: 18334\nBCD to ANF: 18643\nBCD to YLL: 11707\nBCD to GGG: 13946\nBCD to BKY: 13797\nBCD to AOQ: 14291\nBCD to HAQ: 5867\nBCD to TUB: 11996\nHAQ to ANF: 17994\nHAQ to YLL: 15517\nHAQ to GGG: 16232\nHAQ to BKY: 9827\nHAQ to AOQ: 12280\nHAQ to TUB: 16328\nGGG to ANF: 7100\nGGG to YLL: 3039\nGGG to BKY: 14112\nGGG to AOQ: 8739\nGGG to TUB: 9465\nYLL to ANF: 9689\nYLL to BKY: 15292\nYLL to AOQ: 7945\nYLL to TUB: 9562\nTUB to ANF: 9752\nTUB to BKY: 19835\nTUB to AOQ: 16781\nBKY to ANF: 11567\nBKY to AOQ: 12224\nANF to AOQ: 13821\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67750,
"style": "rule"
}
|
{
"exact_answer": 67750,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FIH\", \"id\": 0}, {\"name\": \"BCD\", \"id\": 1}, {\"name\": \"HAQ\", \"id\": 2}, {\"name\": \"GGG\", \"id\": 3}, {\"name\": \"YLL\", \"id\": 4}, {\"name\": \"TUB\", \"id\": 5}, {\"name\": \"BKY\", \"id\": 6}, {\"name\": \"ANF\", \"id\": 7}, {\"name\": \"AOQ\", \"id\": 8}], \"links\": [{\"weight\": 12296, \"source\": 0, \"target\": 1}, {\"weight\": 10066, \"source\": 0, \"target\": 7}, {\"weight\": 13791, \"source\": 0, \"target\": 4}, {\"weight\": 12611, \"source\": 0, \"target\": 3}, {\"weight\": 1501, \"source\": 0, \"target\": 6}, {\"weight\": 10723, \"source\": 0, \"target\": 8}, {\"weight\": 8326, \"source\": 0, \"target\": 2}, {\"weight\": 18334, \"source\": 0, \"target\": 5}, {\"weight\": 18643, \"source\": 1, \"target\": 7}, {\"weight\": 11707, \"source\": 1, \"target\": 4}, {\"weight\": 13946, \"source\": 1, \"target\": 3}, {\"weight\": 13797, \"source\": 1, \"target\": 6}, {\"weight\": 14291, \"source\": 1, \"target\": 8}, {\"weight\": 5867, \"source\": 1, \"target\": 2}, {\"weight\": 11996, \"source\": 1, \"target\": 5}, {\"weight\": 17994, \"source\": 2, \"target\": 7}, {\"weight\": 15517, \"source\": 2, \"target\": 4}, {\"weight\": 16232, \"source\": 2, \"target\": 3}, {\"weight\": 9827, \"source\": 2, \"target\": 6}, {\"weight\": 12280, \"source\": 2, \"target\": 8}, {\"weight\": 16328, \"source\": 2, \"target\": 5}, {\"weight\": 7100, \"source\": 3, \"target\": 7}, {\"weight\": 3039, \"source\": 3, \"target\": 4}, {\"weight\": 14112, \"source\": 3, \"target\": 6}, {\"weight\": 8739, \"source\": 3, \"target\": 8}, {\"weight\": 9465, \"source\": 3, \"target\": 5}, {\"weight\": 9689, \"source\": 4, \"target\": 7}, {\"weight\": 15292, \"source\": 4, \"target\": 6}, {\"weight\": 7945, \"source\": 4, \"target\": 8}, {\"weight\": 9562, \"source\": 4, \"target\": 5}, {\"weight\": 9752, \"source\": 5, \"target\": 7}, {\"weight\": 19835, \"source\": 5, \"target\": 6}, {\"weight\": 16781, \"source\": 5, \"target\": 8}, {\"weight\": 11567, \"source\": 6, \"target\": 7}, {\"weight\": 12224, \"source\": 6, \"target\": 8}, {\"weight\": 13821, \"source\": 7, \"target\": 8}]}",
"id": 2826,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FIH, BCD, HAQ, GGG, YLL, TUB, BKY, ANF, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nFIH to BCD: 12296\nFIH to ANF: 10066\nFIH to YLL: 13791\nFIH to GGG: 12611\nFIH to BKY: 1501\nFIH to AOQ: 10723\nFIH to HAQ: 8326\nFIH to TUB: 18334\nBCD to ANF: 18643\nBCD to YLL: 11707\nBCD to GGG: 13946\nBCD to BKY: 13797\nBCD to AOQ: 14291\nBCD to HAQ: 5867\nBCD to TUB: 11996\nHAQ to ANF: 17994\nHAQ to YLL: 15517\nHAQ to GGG: 16232\nHAQ to BKY: 9827\nHAQ to AOQ: 12280\nHAQ to TUB: 16328\nGGG to ANF: 7100\nGGG to YLL: 3039\nGGG to BKY: 14112\nGGG to AOQ: 8739\nGGG to TUB: 9465\nYLL to ANF: 9689\nYLL to BKY: 15292\nYLL to AOQ: 7945\nYLL to TUB: 9562\nTUB to ANF: 9752\nTUB to BKY: 19835\nTUB to AOQ: 16781\nBKY to ANF: 11567\nBKY to AOQ: 12224\nANF to AOQ: 13821\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NTQ, THX, CXR, CUN, MCN, OCC, USM, ICN, TIF\n- Travel distances (in kilometers) between each pair of airports:\nNTQ to OCC: 14924\nNTQ to MCN: 11659\nNTQ to ICN: 1527\nNTQ to CUN: 12348\nNTQ to CXR: 4574\nNTQ to USM: 5266\nNTQ to TIF: 9754\nNTQ to THX: 5909\nTHX to OCC: 15907\nTHX to MCN: 12872\nTHX to ICN: 4502\nTHX to CUN: 14062\nTHX to CXR: 6894\nTHX to USM: 6339\nTHX to TIF: 7045\nCXR to OCC: 18727\nCXR to MCN: 14957\nCXR to ICN: 3415\nCXR to CUN: 16059\nCXR to USM: 1498\nCXR to TIF: 7504\nCUN to OCC: 2753\nCUN to MCN: 1519\nCUN to ICN: 12644\nCUN to USM: 16644\nCUN to TIF: 12628\nMCN to OCC: 3884\nMCN to ICN: 11615\nMCN to USM: 15446\nMCN to TIF: 11687\nOCC to ICN: 15312\nOCC to USM: 19295\nOCC to TIF: 13538\nUSM to ICN: 4116\nUSM to TIF: 6744\nICN to TIF: 8227\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49293,
"style": "rule"
}
|
{
"exact_answer": 49293,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NTQ\", \"id\": 0}, {\"name\": \"THX\", \"id\": 1}, {\"name\": \"CXR\", \"id\": 2}, {\"name\": \"CUN\", \"id\": 3}, {\"name\": \"MCN\", \"id\": 4}, {\"name\": \"OCC\", \"id\": 5}, {\"name\": \"USM\", \"id\": 6}, {\"name\": \"ICN\", \"id\": 7}, {\"name\": \"TIF\", \"id\": 8}], \"links\": [{\"weight\": 14924, \"source\": 0, \"target\": 5}, {\"weight\": 11659, \"source\": 0, \"target\": 4}, {\"weight\": 1527, \"source\": 0, \"target\": 7}, {\"weight\": 12348, \"source\": 0, \"target\": 3}, {\"weight\": 4574, \"source\": 0, \"target\": 2}, {\"weight\": 5266, \"source\": 0, \"target\": 6}, {\"weight\": 9754, \"source\": 0, \"target\": 8}, {\"weight\": 5909, \"source\": 0, \"target\": 1}, {\"weight\": 15907, \"source\": 1, \"target\": 5}, {\"weight\": 12872, \"source\": 1, \"target\": 4}, {\"weight\": 4502, \"source\": 1, \"target\": 7}, {\"weight\": 14062, \"source\": 1, \"target\": 3}, {\"weight\": 6894, \"source\": 1, \"target\": 2}, {\"weight\": 6339, \"source\": 1, \"target\": 6}, {\"weight\": 7045, \"source\": 1, \"target\": 8}, {\"weight\": 18727, \"source\": 2, \"target\": 5}, {\"weight\": 14957, \"source\": 2, \"target\": 4}, {\"weight\": 3415, \"source\": 2, \"target\": 7}, {\"weight\": 16059, \"source\": 2, \"target\": 3}, {\"weight\": 1498, \"source\": 2, \"target\": 6}, {\"weight\": 7504, \"source\": 2, \"target\": 8}, {\"weight\": 2753, \"source\": 3, \"target\": 5}, {\"weight\": 1519, \"source\": 3, \"target\": 4}, {\"weight\": 12644, \"source\": 3, \"target\": 7}, {\"weight\": 16644, \"source\": 3, \"target\": 6}, {\"weight\": 12628, \"source\": 3, \"target\": 8}, {\"weight\": 3884, \"source\": 4, \"target\": 5}, {\"weight\": 11615, \"source\": 4, \"target\": 7}, {\"weight\": 15446, \"source\": 4, \"target\": 6}, {\"weight\": 11687, \"source\": 4, \"target\": 8}, {\"weight\": 15312, \"source\": 5, \"target\": 7}, {\"weight\": 19295, \"source\": 5, \"target\": 6}, {\"weight\": 13538, \"source\": 5, \"target\": 8}, {\"weight\": 4116, \"source\": 6, \"target\": 7}, {\"weight\": 6744, \"source\": 6, \"target\": 8}, {\"weight\": 8227, \"source\": 7, \"target\": 8}]}",
"id": 2827,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NTQ, THX, CXR, CUN, MCN, OCC, USM, ICN, TIF\n- Travel distances (in kilometers) between each pair of airports:\nNTQ to OCC: 14924\nNTQ to MCN: 11659\nNTQ to ICN: 1527\nNTQ to CUN: 12348\nNTQ to CXR: 4574\nNTQ to USM: 5266\nNTQ to TIF: 9754\nNTQ to THX: 5909\nTHX to OCC: 15907\nTHX to MCN: 12872\nTHX to ICN: 4502\nTHX to CUN: 14062\nTHX to CXR: 6894\nTHX to USM: 6339\nTHX to TIF: 7045\nCXR to OCC: 18727\nCXR to MCN: 14957\nCXR to ICN: 3415\nCXR to CUN: 16059\nCXR to USM: 1498\nCXR to TIF: 7504\nCUN to OCC: 2753\nCUN to MCN: 1519\nCUN to ICN: 12644\nCUN to USM: 16644\nCUN to TIF: 12628\nMCN to OCC: 3884\nMCN to ICN: 11615\nMCN to USM: 15446\nMCN to TIF: 11687\nOCC to ICN: 15312\nOCC to USM: 19295\nOCC to TIF: 13538\nUSM to ICN: 4116\nUSM to TIF: 6744\nICN to TIF: 8227\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FON, UKK, CWA, RGI, CGR, MRY, ICN, TMI, BDB\n- Travel distances (in kilometers) between each pair of airports:\nFON to CGR: 5598\nFON to ICN: 13918\nFON to CWA: 3983\nFON to MRY: 4877\nFON to UKK: 14094\nFON to BDB: 16269\nFON to RGI: 11416\nFON to TMI: 16378\nUKK to CGR: 15083\nUKK to ICN: 5022\nUKK to CWA: 11417\nUKK to MRY: 13237\nUKK to BDB: 12199\nUKK to RGI: 16056\nUKK to TMI: 3493\nCWA to CGR: 8608\nCWA to ICN: 10784\nCWA to MRY: 2911\nCWA to BDB: 14514\nCWA to RGI: 9714\nCWA to TMI: 13362\nRGI to CGR: 11513\nRGI to ICN: 11057\nRGI to MRY: 7395\nRGI to BDB: 6725\nRGI to TMI: 15201\nCGR to ICN: 18559\nCGR to MRY: 10265\nCGR to BDB: 15391\nCGR to TMI: 16266\nMRY to ICN: 9210\nMRY to BDB: 11819\nMRY to TMI: 12997\nICN to BDB: 8016\nICN to TMI: 4150\nTMI to BDB: 9961\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57354,
"style": "rule"
}
|
{
"exact_answer": 57354,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FON\", \"id\": 0}, {\"name\": \"UKK\", \"id\": 1}, {\"name\": \"CWA\", \"id\": 2}, {\"name\": \"RGI\", \"id\": 3}, {\"name\": \"CGR\", \"id\": 4}, {\"name\": \"MRY\", \"id\": 5}, {\"name\": \"ICN\", \"id\": 6}, {\"name\": \"TMI\", \"id\": 7}, {\"name\": \"BDB\", \"id\": 8}], \"links\": [{\"weight\": 5598, \"source\": 0, \"target\": 4}, {\"weight\": 13918, \"source\": 0, \"target\": 6}, {\"weight\": 3983, \"source\": 0, \"target\": 2}, {\"weight\": 4877, \"source\": 0, \"target\": 5}, {\"weight\": 14094, \"source\": 0, \"target\": 1}, {\"weight\": 16269, \"source\": 0, \"target\": 8}, {\"weight\": 11416, \"source\": 0, \"target\": 3}, {\"weight\": 16378, \"source\": 0, \"target\": 7}, {\"weight\": 15083, \"source\": 1, \"target\": 4}, {\"weight\": 5022, \"source\": 1, \"target\": 6}, {\"weight\": 11417, \"source\": 1, \"target\": 2}, {\"weight\": 13237, \"source\": 1, \"target\": 5}, {\"weight\": 12199, \"source\": 1, \"target\": 8}, {\"weight\": 16056, \"source\": 1, \"target\": 3}, {\"weight\": 3493, \"source\": 1, \"target\": 7}, {\"weight\": 8608, \"source\": 2, \"target\": 4}, {\"weight\": 10784, \"source\": 2, \"target\": 6}, {\"weight\": 2911, \"source\": 2, \"target\": 5}, {\"weight\": 14514, \"source\": 2, \"target\": 8}, {\"weight\": 9714, \"source\": 2, \"target\": 3}, {\"weight\": 13362, \"source\": 2, \"target\": 7}, {\"weight\": 11513, \"source\": 3, \"target\": 4}, {\"weight\": 11057, \"source\": 3, \"target\": 6}, {\"weight\": 7395, \"source\": 3, \"target\": 5}, {\"weight\": 6725, \"source\": 3, \"target\": 8}, {\"weight\": 15201, \"source\": 3, \"target\": 7}, {\"weight\": 18559, \"source\": 4, \"target\": 6}, {\"weight\": 10265, \"source\": 4, \"target\": 5}, {\"weight\": 15391, \"source\": 4, \"target\": 8}, {\"weight\": 16266, \"source\": 4, \"target\": 7}, {\"weight\": 9210, \"source\": 5, \"target\": 6}, {\"weight\": 11819, \"source\": 5, \"target\": 8}, {\"weight\": 12997, \"source\": 5, \"target\": 7}, {\"weight\": 8016, \"source\": 6, \"target\": 8}, {\"weight\": 4150, \"source\": 6, \"target\": 7}, {\"weight\": 9961, \"source\": 7, \"target\": 8}]}",
"id": 2828,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FON, UKK, CWA, RGI, CGR, MRY, ICN, TMI, BDB\n- Travel distances (in kilometers) between each pair of airports:\nFON to CGR: 5598\nFON to ICN: 13918\nFON to CWA: 3983\nFON to MRY: 4877\nFON to UKK: 14094\nFON to BDB: 16269\nFON to RGI: 11416\nFON to TMI: 16378\nUKK to CGR: 15083\nUKK to ICN: 5022\nUKK to CWA: 11417\nUKK to MRY: 13237\nUKK to BDB: 12199\nUKK to RGI: 16056\nUKK to TMI: 3493\nCWA to CGR: 8608\nCWA to ICN: 10784\nCWA to MRY: 2911\nCWA to BDB: 14514\nCWA to RGI: 9714\nCWA to TMI: 13362\nRGI to CGR: 11513\nRGI to ICN: 11057\nRGI to MRY: 7395\nRGI to BDB: 6725\nRGI to TMI: 15201\nCGR to ICN: 18559\nCGR to MRY: 10265\nCGR to BDB: 15391\nCGR to TMI: 16266\nMRY to ICN: 9210\nMRY to BDB: 11819\nMRY to TMI: 12997\nICN to BDB: 8016\nICN to TMI: 4150\nTMI to BDB: 9961\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WSX, AJI, SXM, KRS, WRG, ABS, GAN, LHR, MMB\n- Travel distances (in kilometers) between each pair of airports:\nWSX to SXM: 6400\nWSX to LHR: 7859\nWSX to WRG: 1382\nWSX to KRS: 7718\nWSX to MMB: 8834\nWSX to ABS: 12186\nWSX to GAN: 15150\nWSX to AJI: 11321\nAJI to SXM: 10170\nAJI to LHR: 3706\nAJI to WRG: 12387\nAJI to KRS: 3615\nAJI to MMB: 9881\nAJI to ABS: 3412\nAJI to GAN: 7092\nSXM to LHR: 7085\nSXM to WRG: 7466\nSXM to KRS: 7621\nSXM to MMB: 14562\nSXM to ABS: 10848\nSXM to GAN: 15550\nKRS to LHR: 1058\nKRS to WRG: 8784\nKRS to MMB: 9018\nKRS to ABS: 4509\nKRS to GAN: 8801\nWRG to LHR: 8925\nWRG to MMB: 9900\nWRG to ABS: 13252\nWRG to GAN: 16216\nABS to LHR: 4445\nABS to MMB: 10670\nABS to GAN: 6094\nGAN to LHR: 9079\nGAN to MMB: 8572\nLHR to MMB: 9788\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47518,
"style": "rule"
}
|
{
"exact_answer": 47518,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WSX\", \"id\": 0}, {\"name\": \"AJI\", \"id\": 1}, {\"name\": \"SXM\", \"id\": 2}, {\"name\": \"KRS\", \"id\": 3}, {\"name\": \"WRG\", \"id\": 4}, {\"name\": \"ABS\", \"id\": 5}, {\"name\": \"GAN\", \"id\": 6}, {\"name\": \"LHR\", \"id\": 7}, {\"name\": \"MMB\", \"id\": 8}], \"links\": [{\"weight\": 6400, \"source\": 0, \"target\": 2}, {\"weight\": 7859, \"source\": 0, \"target\": 7}, {\"weight\": 1382, \"source\": 0, \"target\": 4}, {\"weight\": 7718, \"source\": 0, \"target\": 3}, {\"weight\": 8834, \"source\": 0, \"target\": 8}, {\"weight\": 12186, \"source\": 0, \"target\": 5}, {\"weight\": 15150, \"source\": 0, \"target\": 6}, {\"weight\": 11321, \"source\": 0, \"target\": 1}, {\"weight\": 10170, \"source\": 1, \"target\": 2}, {\"weight\": 3706, \"source\": 1, \"target\": 7}, {\"weight\": 12387, \"source\": 1, \"target\": 4}, {\"weight\": 3615, \"source\": 1, \"target\": 3}, {\"weight\": 9881, \"source\": 1, \"target\": 8}, {\"weight\": 3412, \"source\": 1, \"target\": 5}, {\"weight\": 7092, \"source\": 1, \"target\": 6}, {\"weight\": 7085, \"source\": 2, \"target\": 7}, {\"weight\": 7466, \"source\": 2, \"target\": 4}, {\"weight\": 7621, \"source\": 2, \"target\": 3}, {\"weight\": 14562, \"source\": 2, \"target\": 8}, {\"weight\": 10848, \"source\": 2, \"target\": 5}, {\"weight\": 15550, \"source\": 2, \"target\": 6}, {\"weight\": 1058, \"source\": 3, \"target\": 7}, {\"weight\": 8784, \"source\": 3, \"target\": 4}, {\"weight\": 9018, \"source\": 3, \"target\": 8}, {\"weight\": 4509, \"source\": 3, \"target\": 5}, {\"weight\": 8801, \"source\": 3, \"target\": 6}, {\"weight\": 8925, \"source\": 4, \"target\": 7}, {\"weight\": 9900, \"source\": 4, \"target\": 8}, {\"weight\": 13252, \"source\": 4, \"target\": 5}, {\"weight\": 16216, \"source\": 4, \"target\": 6}, {\"weight\": 4445, \"source\": 5, \"target\": 7}, {\"weight\": 10670, \"source\": 5, \"target\": 8}, {\"weight\": 6094, \"source\": 5, \"target\": 6}, {\"weight\": 9079, \"source\": 6, \"target\": 7}, {\"weight\": 8572, \"source\": 6, \"target\": 8}, {\"weight\": 9788, \"source\": 7, \"target\": 8}]}",
"id": 2829,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WSX, AJI, SXM, KRS, WRG, ABS, GAN, LHR, MMB\n- Travel distances (in kilometers) between each pair of airports:\nWSX to SXM: 6400\nWSX to LHR: 7859\nWSX to WRG: 1382\nWSX to KRS: 7718\nWSX to MMB: 8834\nWSX to ABS: 12186\nWSX to GAN: 15150\nWSX to AJI: 11321\nAJI to SXM: 10170\nAJI to LHR: 3706\nAJI to WRG: 12387\nAJI to KRS: 3615\nAJI to MMB: 9881\nAJI to ABS: 3412\nAJI to GAN: 7092\nSXM to LHR: 7085\nSXM to WRG: 7466\nSXM to KRS: 7621\nSXM to MMB: 14562\nSXM to ABS: 10848\nSXM to GAN: 15550\nKRS to LHR: 1058\nKRS to WRG: 8784\nKRS to MMB: 9018\nKRS to ABS: 4509\nKRS to GAN: 8801\nWRG to LHR: 8925\nWRG to MMB: 9900\nWRG to ABS: 13252\nWRG to GAN: 16216\nABS to LHR: 4445\nABS to MMB: 10670\nABS to GAN: 6094\nGAN to LHR: 9079\nGAN to MMB: 8572\nLHR to MMB: 9788\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CWB, LAO, IBR, JQA, EQS, LZO, GRK, IOA, PLO\n- Travel distances (in kilometers) between each pair of airports:\nCWB to LAO: 19210\nCWB to EQS: 2780\nCWB to IBR: 19270\nCWB to IOA: 11162\nCWB to GRK: 8427\nCWB to LZO: 17801\nCWB to JQA: 13686\nCWB to PLO: 15234\nLAO to EQS: 19355\nLAO to IBR: 3529\nLAO to IOA: 10449\nLAO to GRK: 14000\nLAO to LZO: 2688\nLAO to JQA: 13948\nLAO to PLO: 6462\nIBR to EQS: 19484\nIBR to IOA: 10142\nIBR to GRK: 11232\nIBR to LZO: 3410\nIBR to JQA: 12701\nIBR to PLO: 8621\nJQA to EQS: 15795\nJQA to IOA: 6324\nJQA to GRK: 8453\nJQA to LZO: 11686\nJQA to PLO: 19451\nEQS to IOA: 13938\nEQS to GRK: 9131\nEQS to LZO: 20539\nEQS to PLO: 14090\nLZO to IOA: 8402\nLZO to GRK: 13139\nLZO to PLO: 8256\nGRK to IOA: 10601\nGRK to PLO: 15433\nIOA to PLO: 14855\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61877,
"style": "rule"
}
|
{
"exact_answer": 61877,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CWB\", \"id\": 0}, {\"name\": \"LAO\", \"id\": 1}, {\"name\": \"IBR\", \"id\": 2}, {\"name\": \"JQA\", \"id\": 3}, {\"name\": \"EQS\", \"id\": 4}, {\"name\": \"LZO\", \"id\": 5}, {\"name\": \"GRK\", \"id\": 6}, {\"name\": \"IOA\", \"id\": 7}, {\"name\": \"PLO\", \"id\": 8}], \"links\": [{\"weight\": 19210, \"source\": 0, \"target\": 1}, {\"weight\": 2780, \"source\": 0, \"target\": 4}, {\"weight\": 19270, \"source\": 0, \"target\": 2}, {\"weight\": 11162, \"source\": 0, \"target\": 7}, {\"weight\": 8427, \"source\": 0, \"target\": 6}, {\"weight\": 17801, \"source\": 0, \"target\": 5}, {\"weight\": 13686, \"source\": 0, \"target\": 3}, {\"weight\": 15234, \"source\": 0, \"target\": 8}, {\"weight\": 19355, \"source\": 1, \"target\": 4}, {\"weight\": 3529, \"source\": 1, \"target\": 2}, {\"weight\": 10449, \"source\": 1, \"target\": 7}, {\"weight\": 14000, \"source\": 1, \"target\": 6}, {\"weight\": 2688, \"source\": 1, \"target\": 5}, {\"weight\": 13948, \"source\": 1, \"target\": 3}, {\"weight\": 6462, \"source\": 1, \"target\": 8}, {\"weight\": 19484, \"source\": 2, \"target\": 4}, {\"weight\": 10142, \"source\": 2, \"target\": 7}, {\"weight\": 11232, \"source\": 2, \"target\": 6}, {\"weight\": 3410, \"source\": 2, \"target\": 5}, {\"weight\": 12701, \"source\": 2, \"target\": 3}, {\"weight\": 8621, \"source\": 2, \"target\": 8}, {\"weight\": 15795, \"source\": 3, \"target\": 4}, {\"weight\": 6324, \"source\": 3, \"target\": 7}, {\"weight\": 8453, \"source\": 3, \"target\": 6}, {\"weight\": 11686, \"source\": 3, \"target\": 5}, {\"weight\": 19451, \"source\": 3, \"target\": 8}, {\"weight\": 13938, \"source\": 4, \"target\": 7}, {\"weight\": 9131, \"source\": 4, \"target\": 6}, {\"weight\": 20539, \"source\": 4, \"target\": 5}, {\"weight\": 14090, \"source\": 4, \"target\": 8}, {\"weight\": 8402, \"source\": 5, \"target\": 7}, {\"weight\": 13139, \"source\": 5, \"target\": 6}, {\"weight\": 8256, \"source\": 5, \"target\": 8}, {\"weight\": 10601, \"source\": 6, \"target\": 7}, {\"weight\": 15433, \"source\": 6, \"target\": 8}, {\"weight\": 14855, \"source\": 7, \"target\": 8}]}",
"id": 2830,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CWB, LAO, IBR, JQA, EQS, LZO, GRK, IOA, PLO\n- Travel distances (in kilometers) between each pair of airports:\nCWB to LAO: 19210\nCWB to EQS: 2780\nCWB to IBR: 19270\nCWB to IOA: 11162\nCWB to GRK: 8427\nCWB to LZO: 17801\nCWB to JQA: 13686\nCWB to PLO: 15234\nLAO to EQS: 19355\nLAO to IBR: 3529\nLAO to IOA: 10449\nLAO to GRK: 14000\nLAO to LZO: 2688\nLAO to JQA: 13948\nLAO to PLO: 6462\nIBR to EQS: 19484\nIBR to IOA: 10142\nIBR to GRK: 11232\nIBR to LZO: 3410\nIBR to JQA: 12701\nIBR to PLO: 8621\nJQA to EQS: 15795\nJQA to IOA: 6324\nJQA to GRK: 8453\nJQA to LZO: 11686\nJQA to PLO: 19451\nEQS to IOA: 13938\nEQS to GRK: 9131\nEQS to LZO: 20539\nEQS to PLO: 14090\nLZO to IOA: 8402\nLZO to GRK: 13139\nLZO to PLO: 8256\nGRK to IOA: 10601\nGRK to PLO: 15433\nIOA to PLO: 14855\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOP, PGD, YSJ, IMP, NBE, HOF, YEG, HNA, ROO\n- Travel distances (in kilometers) between each pair of airports:\nKOP to YEG: 13156\nKOP to NBE: 9704\nKOP to YSJ: 14896\nKOP to IMP: 17573\nKOP to ROO: 19020\nKOP to PGD: 16192\nKOP to HOF: 6135\nKOP to HNA: 5419\nPGD to YEG: 3977\nPGD to NBE: 9081\nPGD to YSJ: 2848\nPGD to IMP: 6784\nPGD to ROO: 7876\nPGD to HOF: 12451\nPGD to HNA: 12948\nYSJ to YEG: 3580\nYSJ to NBE: 6834\nYSJ to IMP: 6812\nYSJ to ROO: 8077\nYSJ to HOF: 9998\nYSJ to HNA: 12564\nIMP to YEG: 9007\nIMP to NBE: 8633\nIMP to ROO: 2205\nIMP to HOF: 11898\nIMP to HNA: 17869\nNBE to YEG: 8733\nNBE to ROO: 10249\nNBE to HOF: 4017\nNBE to HNA: 10480\nHOF to YEG: 11775\nHOF to ROO: 13103\nHOF to HNA: 8914\nYEG to ROO: 10119\nYEG to HNA: 9352\nHNA to ROO: 19081\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50065,
"style": "rule"
}
|
{
"exact_answer": 50065,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KOP\", \"id\": 0}, {\"name\": \"PGD\", \"id\": 1}, {\"name\": \"YSJ\", \"id\": 2}, {\"name\": \"IMP\", \"id\": 3}, {\"name\": \"NBE\", \"id\": 4}, {\"name\": \"HOF\", \"id\": 5}, {\"name\": \"YEG\", \"id\": 6}, {\"name\": \"HNA\", \"id\": 7}, {\"name\": \"ROO\", \"id\": 8}], \"links\": [{\"weight\": 13156, \"source\": 0, \"target\": 6}, {\"weight\": 9704, \"source\": 0, \"target\": 4}, {\"weight\": 14896, \"source\": 0, \"target\": 2}, {\"weight\": 17573, \"source\": 0, \"target\": 3}, {\"weight\": 19020, \"source\": 0, \"target\": 8}, {\"weight\": 16192, \"source\": 0, \"target\": 1}, {\"weight\": 6135, \"source\": 0, \"target\": 5}, {\"weight\": 5419, \"source\": 0, \"target\": 7}, {\"weight\": 3977, \"source\": 1, \"target\": 6}, {\"weight\": 9081, \"source\": 1, \"target\": 4}, {\"weight\": 2848, \"source\": 1, \"target\": 2}, {\"weight\": 6784, \"source\": 1, \"target\": 3}, {\"weight\": 7876, \"source\": 1, \"target\": 8}, {\"weight\": 12451, \"source\": 1, \"target\": 5}, {\"weight\": 12948, \"source\": 1, \"target\": 7}, {\"weight\": 3580, \"source\": 2, \"target\": 6}, {\"weight\": 6834, \"source\": 2, \"target\": 4}, {\"weight\": 6812, \"source\": 2, \"target\": 3}, {\"weight\": 8077, \"source\": 2, \"target\": 8}, {\"weight\": 9998, \"source\": 2, \"target\": 5}, {\"weight\": 12564, \"source\": 2, \"target\": 7}, {\"weight\": 9007, \"source\": 3, \"target\": 6}, {\"weight\": 8633, \"source\": 3, \"target\": 4}, {\"weight\": 2205, \"source\": 3, \"target\": 8}, {\"weight\": 11898, \"source\": 3, \"target\": 5}, {\"weight\": 17869, \"source\": 3, \"target\": 7}, {\"weight\": 8733, \"source\": 4, \"target\": 6}, {\"weight\": 10249, \"source\": 4, \"target\": 8}, {\"weight\": 4017, \"source\": 4, \"target\": 5}, {\"weight\": 10480, \"source\": 4, \"target\": 7}, {\"weight\": 11775, \"source\": 5, \"target\": 6}, {\"weight\": 13103, \"source\": 5, \"target\": 8}, {\"weight\": 8914, \"source\": 5, \"target\": 7}, {\"weight\": 10119, \"source\": 6, \"target\": 8}, {\"weight\": 9352, \"source\": 6, \"target\": 7}, {\"weight\": 19081, \"source\": 7, \"target\": 8}]}",
"id": 2831,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOP, PGD, YSJ, IMP, NBE, HOF, YEG, HNA, ROO\n- Travel distances (in kilometers) between each pair of airports:\nKOP to YEG: 13156\nKOP to NBE: 9704\nKOP to YSJ: 14896\nKOP to IMP: 17573\nKOP to ROO: 19020\nKOP to PGD: 16192\nKOP to HOF: 6135\nKOP to HNA: 5419\nPGD to YEG: 3977\nPGD to NBE: 9081\nPGD to YSJ: 2848\nPGD to IMP: 6784\nPGD to ROO: 7876\nPGD to HOF: 12451\nPGD to HNA: 12948\nYSJ to YEG: 3580\nYSJ to NBE: 6834\nYSJ to IMP: 6812\nYSJ to ROO: 8077\nYSJ to HOF: 9998\nYSJ to HNA: 12564\nIMP to YEG: 9007\nIMP to NBE: 8633\nIMP to ROO: 2205\nIMP to HOF: 11898\nIMP to HNA: 17869\nNBE to YEG: 8733\nNBE to ROO: 10249\nNBE to HOF: 4017\nNBE to HNA: 10480\nHOF to YEG: 11775\nHOF to ROO: 13103\nHOF to HNA: 8914\nYEG to ROO: 10119\nYEG to HNA: 9352\nHNA to ROO: 19081\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BXR, MZL, EGO, UIH, EAS, PSO, KDO, ATW, TBU\n- Travel distances (in kilometers) between each pair of airports:\nBXR to EGO: 3930\nBXR to PSO: 14291\nBXR to ATW: 12048\nBXR to MZL: 13935\nBXR to TBU: 16444\nBXR to EAS: 5663\nBXR to KDO: 5515\nBXR to UIH: 7687\nMZL to EGO: 11287\nMZL to PSO: 658\nMZL to ATW: 4767\nMZL to TBU: 15510\nMZL to EAS: 8533\nMZL to KDO: 17065\nMZL to UIH: 18285\nEGO to PSO: 11643\nEGO to ATW: 8825\nEGO to TBU: 15995\nEGO to EAS: 3617\nEGO to KDO: 6547\nEGO to UIH: 8021\nUIH to PSO: 18468\nUIH to ATW: 14030\nUIH to TBU: 10228\nUIH to EAS: 10988\nUIH to KDO: 4574\nEAS to PSO: 8889\nEAS to ATW: 7252\nEAS to TBU: 18983\nEAS to KDO: 8822\nPSO to ATW: 4950\nPSO to TBU: 15526\nPSO to KDO: 17421\nKDO to ATW: 15131\nKDO to TBU: 12848\nATW to TBU: 12564\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54569,
"style": "rule"
}
|
{
"exact_answer": 54569,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BXR\", \"id\": 0}, {\"name\": \"MZL\", \"id\": 1}, {\"name\": \"EGO\", \"id\": 2}, {\"name\": \"UIH\", \"id\": 3}, {\"name\": \"EAS\", \"id\": 4}, {\"name\": \"PSO\", \"id\": 5}, {\"name\": \"KDO\", \"id\": 6}, {\"name\": \"ATW\", \"id\": 7}, {\"name\": \"TBU\", \"id\": 8}], \"links\": [{\"weight\": 3930, \"source\": 0, \"target\": 2}, {\"weight\": 14291, \"source\": 0, \"target\": 5}, {\"weight\": 12048, \"source\": 0, \"target\": 7}, {\"weight\": 13935, \"source\": 0, \"target\": 1}, {\"weight\": 16444, \"source\": 0, \"target\": 8}, {\"weight\": 5663, \"source\": 0, \"target\": 4}, {\"weight\": 5515, \"source\": 0, \"target\": 6}, {\"weight\": 7687, \"source\": 0, \"target\": 3}, {\"weight\": 11287, \"source\": 1, \"target\": 2}, {\"weight\": 658, \"source\": 1, \"target\": 5}, {\"weight\": 4767, \"source\": 1, \"target\": 7}, {\"weight\": 15510, \"source\": 1, \"target\": 8}, {\"weight\": 8533, \"source\": 1, \"target\": 4}, {\"weight\": 17065, \"source\": 1, \"target\": 6}, {\"weight\": 18285, \"source\": 1, \"target\": 3}, {\"weight\": 11643, \"source\": 2, \"target\": 5}, {\"weight\": 8825, \"source\": 2, \"target\": 7}, {\"weight\": 15995, \"source\": 2, \"target\": 8}, {\"weight\": 3617, \"source\": 2, \"target\": 4}, {\"weight\": 6547, \"source\": 2, \"target\": 6}, {\"weight\": 8021, \"source\": 2, \"target\": 3}, {\"weight\": 18468, \"source\": 3, \"target\": 5}, {\"weight\": 14030, \"source\": 3, \"target\": 7}, {\"weight\": 10228, \"source\": 3, \"target\": 8}, {\"weight\": 10988, \"source\": 3, \"target\": 4}, {\"weight\": 4574, \"source\": 3, \"target\": 6}, {\"weight\": 8889, \"source\": 4, \"target\": 5}, {\"weight\": 7252, \"source\": 4, \"target\": 7}, {\"weight\": 18983, \"source\": 4, \"target\": 8}, {\"weight\": 8822, \"source\": 4, \"target\": 6}, {\"weight\": 4950, \"source\": 5, \"target\": 7}, {\"weight\": 15526, \"source\": 5, \"target\": 8}, {\"weight\": 17421, \"source\": 5, \"target\": 6}, {\"weight\": 15131, \"source\": 6, \"target\": 7}, {\"weight\": 12848, \"source\": 6, \"target\": 8}, {\"weight\": 12564, \"source\": 7, \"target\": 8}]}",
"id": 2832,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BXR, MZL, EGO, UIH, EAS, PSO, KDO, ATW, TBU\n- Travel distances (in kilometers) between each pair of airports:\nBXR to EGO: 3930\nBXR to PSO: 14291\nBXR to ATW: 12048\nBXR to MZL: 13935\nBXR to TBU: 16444\nBXR to EAS: 5663\nBXR to KDO: 5515\nBXR to UIH: 7687\nMZL to EGO: 11287\nMZL to PSO: 658\nMZL to ATW: 4767\nMZL to TBU: 15510\nMZL to EAS: 8533\nMZL to KDO: 17065\nMZL to UIH: 18285\nEGO to PSO: 11643\nEGO to ATW: 8825\nEGO to TBU: 15995\nEGO to EAS: 3617\nEGO to KDO: 6547\nEGO to UIH: 8021\nUIH to PSO: 18468\nUIH to ATW: 14030\nUIH to TBU: 10228\nUIH to EAS: 10988\nUIH to KDO: 4574\nEAS to PSO: 8889\nEAS to ATW: 7252\nEAS to TBU: 18983\nEAS to KDO: 8822\nPSO to ATW: 4950\nPSO to TBU: 15526\nPSO to KDO: 17421\nKDO to ATW: 15131\nKDO to TBU: 12848\nATW to TBU: 12564\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DUS, VHM, ALH, SRP, GGG, PFO, KWI, HLZ, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nDUS to VHM: 1715\nDUS to SHJ: 5010\nDUS to KWI: 4203\nDUS to GGG: 8303\nDUS to PFO: 2760\nDUS to SRP: 1013\nDUS to HLZ: 18272\nDUS to ALH: 14421\nVHM to SHJ: 5340\nVHM to KWI: 4902\nVHM to GGG: 8922\nVHM to PFO: 3617\nVHM to SRP: 1259\nVHM to HLZ: 17720\nVHM to ALH: 14461\nALH to SHJ: 9985\nALH to KWI: 10269\nALH to GGG: 17571\nALH to PFO: 13330\nALH to SRP: 14603\nALH to HLZ: 5817\nSRP to SHJ: 5465\nSRP to KWI: 4824\nSRP to GGG: 8015\nSRP to PFO: 3430\nSRP to HLZ: 17856\nGGG to SHJ: 13158\nGGG to KWI: 12480\nGGG to PFO: 11061\nGGG to HLZ: 12800\nPFO to SHJ: 3914\nPFO to KWI: 3266\nPFO to HLZ: 17685\nKWI to SHJ: 862\nKWI to HLZ: 15161\nHLZ to SHJ: 14346\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46479,
"style": "rule"
}
|
{
"exact_answer": 46479,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DUS\", \"id\": 0}, {\"name\": \"VHM\", \"id\": 1}, {\"name\": \"ALH\", \"id\": 2}, {\"name\": \"SRP\", \"id\": 3}, {\"name\": \"GGG\", \"id\": 4}, {\"name\": \"PFO\", \"id\": 5}, {\"name\": \"KWI\", \"id\": 6}, {\"name\": \"HLZ\", \"id\": 7}, {\"name\": \"SHJ\", \"id\": 8}], \"links\": [{\"weight\": 1715, \"source\": 0, \"target\": 1}, {\"weight\": 5010, \"source\": 0, \"target\": 8}, {\"weight\": 4203, \"source\": 0, \"target\": 6}, {\"weight\": 8303, \"source\": 0, \"target\": 4}, {\"weight\": 2760, \"source\": 0, \"target\": 5}, {\"weight\": 1013, \"source\": 0, \"target\": 3}, {\"weight\": 18272, \"source\": 0, \"target\": 7}, {\"weight\": 14421, \"source\": 0, \"target\": 2}, {\"weight\": 5340, \"source\": 1, \"target\": 8}, {\"weight\": 4902, \"source\": 1, \"target\": 6}, {\"weight\": 8922, \"source\": 1, \"target\": 4}, {\"weight\": 3617, \"source\": 1, \"target\": 5}, {\"weight\": 1259, \"source\": 1, \"target\": 3}, {\"weight\": 17720, \"source\": 1, \"target\": 7}, {\"weight\": 14461, \"source\": 1, \"target\": 2}, {\"weight\": 9985, \"source\": 2, \"target\": 8}, {\"weight\": 10269, \"source\": 2, \"target\": 6}, {\"weight\": 17571, \"source\": 2, \"target\": 4}, {\"weight\": 13330, \"source\": 2, \"target\": 5}, {\"weight\": 14603, \"source\": 2, \"target\": 3}, {\"weight\": 5817, \"source\": 2, \"target\": 7}, {\"weight\": 5465, \"source\": 3, \"target\": 8}, {\"weight\": 4824, \"source\": 3, \"target\": 6}, {\"weight\": 8015, \"source\": 3, \"target\": 4}, {\"weight\": 3430, \"source\": 3, \"target\": 5}, {\"weight\": 17856, \"source\": 3, \"target\": 7}, {\"weight\": 13158, \"source\": 4, \"target\": 8}, {\"weight\": 12480, \"source\": 4, \"target\": 6}, {\"weight\": 11061, \"source\": 4, \"target\": 5}, {\"weight\": 12800, \"source\": 4, \"target\": 7}, {\"weight\": 3914, \"source\": 5, \"target\": 8}, {\"weight\": 3266, \"source\": 5, \"target\": 6}, {\"weight\": 17685, \"source\": 5, \"target\": 7}, {\"weight\": 862, \"source\": 6, \"target\": 8}, {\"weight\": 15161, \"source\": 6, \"target\": 7}, {\"weight\": 14346, \"source\": 7, \"target\": 8}]}",
"id": 2833,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DUS, VHM, ALH, SRP, GGG, PFO, KWI, HLZ, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nDUS to VHM: 1715\nDUS to SHJ: 5010\nDUS to KWI: 4203\nDUS to GGG: 8303\nDUS to PFO: 2760\nDUS to SRP: 1013\nDUS to HLZ: 18272\nDUS to ALH: 14421\nVHM to SHJ: 5340\nVHM to KWI: 4902\nVHM to GGG: 8922\nVHM to PFO: 3617\nVHM to SRP: 1259\nVHM to HLZ: 17720\nVHM to ALH: 14461\nALH to SHJ: 9985\nALH to KWI: 10269\nALH to GGG: 17571\nALH to PFO: 13330\nALH to SRP: 14603\nALH to HLZ: 5817\nSRP to SHJ: 5465\nSRP to KWI: 4824\nSRP to GGG: 8015\nSRP to PFO: 3430\nSRP to HLZ: 17856\nGGG to SHJ: 13158\nGGG to KWI: 12480\nGGG to PFO: 11061\nGGG to HLZ: 12800\nPFO to SHJ: 3914\nPFO to KWI: 3266\nPFO to HLZ: 17685\nKWI to SHJ: 862\nKWI to HLZ: 15161\nHLZ to SHJ: 14346\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AES, HPH, BOG, PYC, WGA, EUN, MBS, TRU, JSY\n- Travel distances (in kilometers) between each pair of airports:\nAES to BOG: 9597\nAES to PYC: 9985\nAES to MBS: 6416\nAES to JSY: 3099\nAES to EUN: 4267\nAES to HPH: 9872\nAES to TRU: 11933\nAES to WGA: 16703\nHPH to BOG: 18332\nHPH to PYC: 17950\nHPH to MBS: 14213\nHPH to JSY: 9374\nHPH to EUN: 12940\nHPH to TRU: 20345\nHPH to WGA: 8173\nBOG to PYC: 1824\nBOG to MBS: 4436\nBOG to JSY: 10511\nBOG to EUN: 6984\nBOG to TRU: 2377\nBOG to WGA: 15954\nPYC to MBS: 4297\nPYC to JSY: 11549\nPYC to EUN: 8435\nPYC to TRU: 3627\nPYC to WGA: 17303\nWGA to MBS: 15582\nWGA to JSY: 15382\nWGA to EUN: 18931\nWGA to TRU: 14654\nEUN to MBS: 6773\nEUN to JSY: 3913\nEUN to TRU: 9201\nMBS to JSY: 8730\nMBS to TRU: 6709\nTRU to JSY: 12496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54838,
"style": "rule"
}
|
{
"exact_answer": 54838,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AES\", \"id\": 0}, {\"name\": \"HPH\", \"id\": 1}, {\"name\": \"BOG\", \"id\": 2}, {\"name\": \"PYC\", \"id\": 3}, {\"name\": \"WGA\", \"id\": 4}, {\"name\": \"EUN\", \"id\": 5}, {\"name\": \"MBS\", \"id\": 6}, {\"name\": \"TRU\", \"id\": 7}, {\"name\": \"JSY\", \"id\": 8}], \"links\": [{\"weight\": 9597, \"source\": 0, \"target\": 2}, {\"weight\": 9985, \"source\": 0, \"target\": 3}, {\"weight\": 6416, \"source\": 0, \"target\": 6}, {\"weight\": 3099, \"source\": 0, \"target\": 8}, {\"weight\": 4267, \"source\": 0, \"target\": 5}, {\"weight\": 9872, \"source\": 0, \"target\": 1}, {\"weight\": 11933, \"source\": 0, \"target\": 7}, {\"weight\": 16703, \"source\": 0, \"target\": 4}, {\"weight\": 18332, \"source\": 1, \"target\": 2}, {\"weight\": 17950, \"source\": 1, \"target\": 3}, {\"weight\": 14213, \"source\": 1, \"target\": 6}, {\"weight\": 9374, \"source\": 1, \"target\": 8}, {\"weight\": 12940, \"source\": 1, \"target\": 5}, {\"weight\": 20345, \"source\": 1, \"target\": 7}, {\"weight\": 8173, \"source\": 1, \"target\": 4}, {\"weight\": 1824, \"source\": 2, \"target\": 3}, {\"weight\": 4436, \"source\": 2, \"target\": 6}, {\"weight\": 10511, \"source\": 2, \"target\": 8}, {\"weight\": 6984, \"source\": 2, \"target\": 5}, {\"weight\": 2377, \"source\": 2, \"target\": 7}, {\"weight\": 15954, \"source\": 2, \"target\": 4}, {\"weight\": 4297, \"source\": 3, \"target\": 6}, {\"weight\": 11549, \"source\": 3, \"target\": 8}, {\"weight\": 8435, \"source\": 3, \"target\": 5}, {\"weight\": 3627, \"source\": 3, \"target\": 7}, {\"weight\": 17303, \"source\": 3, \"target\": 4}, {\"weight\": 15582, \"source\": 4, \"target\": 6}, {\"weight\": 15382, \"source\": 4, \"target\": 8}, {\"weight\": 18931, \"source\": 4, \"target\": 5}, {\"weight\": 14654, \"source\": 4, \"target\": 7}, {\"weight\": 6773, \"source\": 5, \"target\": 6}, {\"weight\": 3913, \"source\": 5, \"target\": 8}, {\"weight\": 9201, \"source\": 5, \"target\": 7}, {\"weight\": 8730, \"source\": 6, \"target\": 8}, {\"weight\": 6709, \"source\": 6, \"target\": 7}, {\"weight\": 12496, \"source\": 7, \"target\": 8}]}",
"id": 2834,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AES, HPH, BOG, PYC, WGA, EUN, MBS, TRU, JSY\n- Travel distances (in kilometers) between each pair of airports:\nAES to BOG: 9597\nAES to PYC: 9985\nAES to MBS: 6416\nAES to JSY: 3099\nAES to EUN: 4267\nAES to HPH: 9872\nAES to TRU: 11933\nAES to WGA: 16703\nHPH to BOG: 18332\nHPH to PYC: 17950\nHPH to MBS: 14213\nHPH to JSY: 9374\nHPH to EUN: 12940\nHPH to TRU: 20345\nHPH to WGA: 8173\nBOG to PYC: 1824\nBOG to MBS: 4436\nBOG to JSY: 10511\nBOG to EUN: 6984\nBOG to TRU: 2377\nBOG to WGA: 15954\nPYC to MBS: 4297\nPYC to JSY: 11549\nPYC to EUN: 8435\nPYC to TRU: 3627\nPYC to WGA: 17303\nWGA to MBS: 15582\nWGA to JSY: 15382\nWGA to EUN: 18931\nWGA to TRU: 14654\nEUN to MBS: 6773\nEUN to JSY: 3913\nEUN to TRU: 9201\nMBS to JSY: 8730\nMBS to TRU: 6709\nTRU to JSY: 12496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GUR, MFU, CGB, TLE, CIJ, PER, PED, LLF, PKA\n- Travel distances (in kilometers) between each pair of airports:\nGUR to CGB: 18085\nGUR to PER: 4627\nGUR to PKA: 13971\nGUR to CIJ: 16925\nGUR to LLF: 6279\nGUR to TLE: 12238\nGUR to MFU: 14577\nGUR to PED: 14125\nMFU to CGB: 10009\nMFU to PER: 9950\nMFU to PKA: 19051\nMFU to CIJ: 11694\nMFU to LLF: 10866\nMFU to TLE: 4254\nMFU to PED: 10176\nCGB to PER: 17078\nCGB to PKA: 12888\nCGB to CIJ: 4247\nCGB to LLF: 18878\nCGB to TLE: 11544\nCGB to PED: 13189\nTLE to PER: 7611\nTLE to PKA: 20368\nTLE to CIJ: 13133\nTLE to LLF: 9692\nTLE to PED: 10732\nCIJ to PER: 17151\nCIJ to PKA: 12535\nCIJ to LLF: 19547\nCIJ to PED: 14593\nPER to PKA: 16281\nPER to LLF: 6562\nPER to PED: 13860\nPED to PKA: 12951\nPED to LLF: 8607\nLLF to PKA: 13147\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 71120,
"style": "rule"
}
|
{
"exact_answer": 71120,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GUR\", \"id\": 0}, {\"name\": \"MFU\", \"id\": 1}, {\"name\": \"CGB\", \"id\": 2}, {\"name\": \"TLE\", \"id\": 3}, {\"name\": \"CIJ\", \"id\": 4}, {\"name\": \"PER\", \"id\": 5}, {\"name\": \"PED\", \"id\": 6}, {\"name\": \"LLF\", \"id\": 7}, {\"name\": \"PKA\", \"id\": 8}], \"links\": [{\"weight\": 18085, \"source\": 0, \"target\": 2}, {\"weight\": 4627, \"source\": 0, \"target\": 5}, {\"weight\": 13971, \"source\": 0, \"target\": 8}, {\"weight\": 16925, \"source\": 0, \"target\": 4}, {\"weight\": 6279, \"source\": 0, \"target\": 7}, {\"weight\": 12238, \"source\": 0, \"target\": 3}, {\"weight\": 14577, \"source\": 0, \"target\": 1}, {\"weight\": 14125, \"source\": 0, \"target\": 6}, {\"weight\": 10009, \"source\": 1, \"target\": 2}, {\"weight\": 9950, \"source\": 1, \"target\": 5}, {\"weight\": 19051, \"source\": 1, \"target\": 8}, {\"weight\": 11694, \"source\": 1, \"target\": 4}, {\"weight\": 10866, \"source\": 1, \"target\": 7}, {\"weight\": 4254, \"source\": 1, \"target\": 3}, {\"weight\": 10176, \"source\": 1, \"target\": 6}, {\"weight\": 17078, \"source\": 2, \"target\": 5}, {\"weight\": 12888, \"source\": 2, \"target\": 8}, {\"weight\": 4247, \"source\": 2, \"target\": 4}, {\"weight\": 18878, \"source\": 2, \"target\": 7}, {\"weight\": 11544, \"source\": 2, \"target\": 3}, {\"weight\": 13189, \"source\": 2, \"target\": 6}, {\"weight\": 7611, \"source\": 3, \"target\": 5}, {\"weight\": 20368, \"source\": 3, \"target\": 8}, {\"weight\": 13133, \"source\": 3, \"target\": 4}, {\"weight\": 9692, \"source\": 3, \"target\": 7}, {\"weight\": 10732, \"source\": 3, \"target\": 6}, {\"weight\": 17151, \"source\": 4, \"target\": 5}, {\"weight\": 12535, \"source\": 4, \"target\": 8}, {\"weight\": 19547, \"source\": 4, \"target\": 7}, {\"weight\": 14593, \"source\": 4, \"target\": 6}, {\"weight\": 16281, \"source\": 5, \"target\": 8}, {\"weight\": 6562, \"source\": 5, \"target\": 7}, {\"weight\": 13860, \"source\": 5, \"target\": 6}, {\"weight\": 12951, \"source\": 6, \"target\": 8}, {\"weight\": 8607, \"source\": 6, \"target\": 7}, {\"weight\": 13147, \"source\": 7, \"target\": 8}]}",
"id": 2835,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GUR, MFU, CGB, TLE, CIJ, PER, PED, LLF, PKA\n- Travel distances (in kilometers) between each pair of airports:\nGUR to CGB: 18085\nGUR to PER: 4627\nGUR to PKA: 13971\nGUR to CIJ: 16925\nGUR to LLF: 6279\nGUR to TLE: 12238\nGUR to MFU: 14577\nGUR to PED: 14125\nMFU to CGB: 10009\nMFU to PER: 9950\nMFU to PKA: 19051\nMFU to CIJ: 11694\nMFU to LLF: 10866\nMFU to TLE: 4254\nMFU to PED: 10176\nCGB to PER: 17078\nCGB to PKA: 12888\nCGB to CIJ: 4247\nCGB to LLF: 18878\nCGB to TLE: 11544\nCGB to PED: 13189\nTLE to PER: 7611\nTLE to PKA: 20368\nTLE to CIJ: 13133\nTLE to LLF: 9692\nTLE to PED: 10732\nCIJ to PER: 17151\nCIJ to PKA: 12535\nCIJ to LLF: 19547\nCIJ to PED: 14593\nPER to PKA: 16281\nPER to LLF: 6562\nPER to PED: 13860\nPED to PKA: 12951\nPED to LLF: 8607\nLLF to PKA: 13147\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDU, MRS, KPO, TCO, MDU, NUX, CIJ, YPW, AUU\n- Travel distances (in kilometers) between each pair of airports:\nLDU to NUX: 7840\nLDU to YPW: 12034\nLDU to MRS: 11717\nLDU to CIJ: 20402\nLDU to TCO: 18938\nLDU to KPO: 3917\nLDU to MDU: 5278\nLDU to AUU: 5929\nMRS to NUX: 4998\nMRS to YPW: 8684\nMRS to CIJ: 10797\nMRS to TCO: 9396\nMRS to KPO: 9678\nMRS to MDU: 15325\nMRS to AUU: 15878\nKPO to NUX: 5486\nKPO to YPW: 9140\nKPO to CIJ: 18697\nKPO to TCO: 16042\nKPO to MDU: 7089\nKPO to AUU: 7375\nTCO to NUX: 13845\nTCO to YPW: 7166\nTCO to CIJ: 3664\nTCO to MDU: 18649\nTCO to AUU: 18373\nMDU to NUX: 11335\nMDU to YPW: 13234\nMDU to CIJ: 17107\nMDU to AUU: 1962\nNUX to YPW: 11498\nNUX to CIJ: 15753\nNUX to AUU: 11888\nCIJ to YPW: 9929\nCIJ to AUU: 16390\nYPW to AUU: 13998\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57153,
"style": "rule"
}
|
{
"exact_answer": 57153,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LDU\", \"id\": 0}, {\"name\": \"MRS\", \"id\": 1}, {\"name\": \"KPO\", \"id\": 2}, {\"name\": \"TCO\", \"id\": 3}, {\"name\": \"MDU\", \"id\": 4}, {\"name\": \"NUX\", \"id\": 5}, {\"name\": \"CIJ\", \"id\": 6}, {\"name\": \"YPW\", \"id\": 7}, {\"name\": \"AUU\", \"id\": 8}], \"links\": [{\"weight\": 7840, \"source\": 0, \"target\": 5}, {\"weight\": 12034, \"source\": 0, \"target\": 7}, {\"weight\": 11717, \"source\": 0, \"target\": 1}, {\"weight\": 20402, \"source\": 0, \"target\": 6}, {\"weight\": 18938, \"source\": 0, \"target\": 3}, {\"weight\": 3917, \"source\": 0, \"target\": 2}, {\"weight\": 5278, \"source\": 0, \"target\": 4}, {\"weight\": 5929, \"source\": 0, \"target\": 8}, {\"weight\": 4998, \"source\": 1, \"target\": 5}, {\"weight\": 8684, \"source\": 1, \"target\": 7}, {\"weight\": 10797, \"source\": 1, \"target\": 6}, {\"weight\": 9396, \"source\": 1, \"target\": 3}, {\"weight\": 9678, \"source\": 1, \"target\": 2}, {\"weight\": 15325, \"source\": 1, \"target\": 4}, {\"weight\": 15878, \"source\": 1, \"target\": 8}, {\"weight\": 5486, \"source\": 2, \"target\": 5}, {\"weight\": 9140, \"source\": 2, \"target\": 7}, {\"weight\": 18697, \"source\": 2, \"target\": 6}, {\"weight\": 16042, \"source\": 2, \"target\": 3}, {\"weight\": 7089, \"source\": 2, \"target\": 4}, {\"weight\": 7375, \"source\": 2, \"target\": 8}, {\"weight\": 13845, \"source\": 3, \"target\": 5}, {\"weight\": 7166, \"source\": 3, \"target\": 7}, {\"weight\": 3664, \"source\": 3, \"target\": 6}, {\"weight\": 18649, \"source\": 3, \"target\": 4}, {\"weight\": 18373, \"source\": 3, \"target\": 8}, {\"weight\": 11335, \"source\": 4, \"target\": 5}, {\"weight\": 13234, \"source\": 4, \"target\": 7}, {\"weight\": 17107, \"source\": 4, \"target\": 6}, {\"weight\": 1962, \"source\": 4, \"target\": 8}, {\"weight\": 11498, \"source\": 5, \"target\": 7}, {\"weight\": 15753, \"source\": 5, \"target\": 6}, {\"weight\": 11888, \"source\": 5, \"target\": 8}, {\"weight\": 9929, \"source\": 6, \"target\": 7}, {\"weight\": 16390, \"source\": 6, \"target\": 8}, {\"weight\": 13998, \"source\": 7, \"target\": 8}]}",
"id": 2836,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDU, MRS, KPO, TCO, MDU, NUX, CIJ, YPW, AUU\n- Travel distances (in kilometers) between each pair of airports:\nLDU to NUX: 7840\nLDU to YPW: 12034\nLDU to MRS: 11717\nLDU to CIJ: 20402\nLDU to TCO: 18938\nLDU to KPO: 3917\nLDU to MDU: 5278\nLDU to AUU: 5929\nMRS to NUX: 4998\nMRS to YPW: 8684\nMRS to CIJ: 10797\nMRS to TCO: 9396\nMRS to KPO: 9678\nMRS to MDU: 15325\nMRS to AUU: 15878\nKPO to NUX: 5486\nKPO to YPW: 9140\nKPO to CIJ: 18697\nKPO to TCO: 16042\nKPO to MDU: 7089\nKPO to AUU: 7375\nTCO to NUX: 13845\nTCO to YPW: 7166\nTCO to CIJ: 3664\nTCO to MDU: 18649\nTCO to AUU: 18373\nMDU to NUX: 11335\nMDU to YPW: 13234\nMDU to CIJ: 17107\nMDU to AUU: 1962\nNUX to YPW: 11498\nNUX to CIJ: 15753\nNUX to AUU: 11888\nCIJ to YPW: 9929\nCIJ to AUU: 16390\nYPW to AUU: 13998\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PPK, AMD, ZAM, SVB, BDS, YNC, RAI, MHH, NIB\n- Travel distances (in kilometers) between each pair of airports:\nPPK to BDS: 7134\nPPK to ZAM: 7500\nPPK to MHH: 13799\nPPK to NIB: 16081\nPPK to AMD: 3791\nPPK to RAI: 11175\nPPK to SVB: 9697\nPPK to YNC: 13004\nAMD to BDS: 6492\nAMD to ZAM: 6230\nAMD to MHH: 14366\nAMD to NIB: 15984\nAMD to RAI: 10027\nAMD to SVB: 6517\nAMD to YNC: 13386\nZAM to BDS: 11772\nZAM to MHH: 15777\nZAM to NIB: 14105\nZAM to RAI: 15854\nZAM to SVB: 9854\nZAM to YNC: 14642\nSVB to BDS: 8281\nSVB to MHH: 16218\nSVB to NIB: 19499\nSVB to RAI: 8965\nSVB to YNC: 15115\nBDS to MHH: 8995\nBDS to NIB: 12216\nBDS to RAI: 5068\nBDS to YNC: 8021\nYNC to MHH: 3277\nYNC to NIB: 6452\nYNC to RAI: 6838\nRAI to MHH: 7633\nRAI to NIB: 11710\nMHH to NIB: 6978\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62355,
"style": "rule"
}
|
{
"exact_answer": 62355,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PPK\", \"id\": 0}, {\"name\": \"AMD\", \"id\": 1}, {\"name\": \"ZAM\", \"id\": 2}, {\"name\": \"SVB\", \"id\": 3}, {\"name\": \"BDS\", \"id\": 4}, {\"name\": \"YNC\", \"id\": 5}, {\"name\": \"RAI\", \"id\": 6}, {\"name\": \"MHH\", \"id\": 7}, {\"name\": \"NIB\", \"id\": 8}], \"links\": [{\"weight\": 7134, \"source\": 0, \"target\": 4}, {\"weight\": 7500, \"source\": 0, \"target\": 2}, {\"weight\": 13799, \"source\": 0, \"target\": 7}, {\"weight\": 16081, \"source\": 0, \"target\": 8}, {\"weight\": 3791, \"source\": 0, \"target\": 1}, {\"weight\": 11175, \"source\": 0, \"target\": 6}, {\"weight\": 9697, \"source\": 0, \"target\": 3}, {\"weight\": 13004, \"source\": 0, \"target\": 5}, {\"weight\": 6492, \"source\": 1, \"target\": 4}, {\"weight\": 6230, \"source\": 1, \"target\": 2}, {\"weight\": 14366, \"source\": 1, \"target\": 7}, {\"weight\": 15984, \"source\": 1, \"target\": 8}, {\"weight\": 10027, \"source\": 1, \"target\": 6}, {\"weight\": 6517, \"source\": 1, \"target\": 3}, {\"weight\": 13386, \"source\": 1, \"target\": 5}, {\"weight\": 11772, \"source\": 2, \"target\": 4}, {\"weight\": 15777, \"source\": 2, \"target\": 7}, {\"weight\": 14105, \"source\": 2, \"target\": 8}, {\"weight\": 15854, \"source\": 2, \"target\": 6}, {\"weight\": 9854, \"source\": 2, \"target\": 3}, {\"weight\": 14642, \"source\": 2, \"target\": 5}, {\"weight\": 8281, \"source\": 3, \"target\": 4}, {\"weight\": 16218, \"source\": 3, \"target\": 7}, {\"weight\": 19499, \"source\": 3, \"target\": 8}, {\"weight\": 8965, \"source\": 3, \"target\": 6}, {\"weight\": 15115, \"source\": 3, \"target\": 5}, {\"weight\": 8995, \"source\": 4, \"target\": 7}, {\"weight\": 12216, \"source\": 4, \"target\": 8}, {\"weight\": 5068, \"source\": 4, \"target\": 6}, {\"weight\": 8021, \"source\": 4, \"target\": 5}, {\"weight\": 3277, \"source\": 5, \"target\": 7}, {\"weight\": 6452, \"source\": 5, \"target\": 8}, {\"weight\": 6838, \"source\": 5, \"target\": 6}, {\"weight\": 7633, \"source\": 6, \"target\": 7}, {\"weight\": 11710, \"source\": 6, \"target\": 8}, {\"weight\": 6978, \"source\": 7, \"target\": 8}]}",
"id": 2837,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PPK, AMD, ZAM, SVB, BDS, YNC, RAI, MHH, NIB\n- Travel distances (in kilometers) between each pair of airports:\nPPK to BDS: 7134\nPPK to ZAM: 7500\nPPK to MHH: 13799\nPPK to NIB: 16081\nPPK to AMD: 3791\nPPK to RAI: 11175\nPPK to SVB: 9697\nPPK to YNC: 13004\nAMD to BDS: 6492\nAMD to ZAM: 6230\nAMD to MHH: 14366\nAMD to NIB: 15984\nAMD to RAI: 10027\nAMD to SVB: 6517\nAMD to YNC: 13386\nZAM to BDS: 11772\nZAM to MHH: 15777\nZAM to NIB: 14105\nZAM to RAI: 15854\nZAM to SVB: 9854\nZAM to YNC: 14642\nSVB to BDS: 8281\nSVB to MHH: 16218\nSVB to NIB: 19499\nSVB to RAI: 8965\nSVB to YNC: 15115\nBDS to MHH: 8995\nBDS to NIB: 12216\nBDS to RAI: 5068\nBDS to YNC: 8021\nYNC to MHH: 3277\nYNC to NIB: 6452\nYNC to RAI: 6838\nRAI to MHH: 7633\nRAI to NIB: 11710\nMHH to NIB: 6978\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YCB, HER, OPO, GAF, JKH, BJA, ILY, DAU\n- Travel distances (in kilometers) between each pair of airports:\nUVF to HER: 9478\nUVF to YCB: 7738\nUVF to JKH: 9297\nUVF to OPO: 7411\nUVF to BJA: 8494\nUVF to ILY: 7158\nUVF to DAU: 18904\nUVF to GAF: 8890\nYCB to HER: 11297\nYCB to JKH: 11085\nYCB to OPO: 9610\nYCB to BJA: 10396\nYCB to ILY: 8251\nYCB to DAU: 15574\nYCB to GAF: 10806\nHER to JKH: 506\nHER to OPO: 3096\nHER to BJA: 2359\nHER to ILY: 3312\nHER to DAU: 14128\nHER to GAF: 1876\nOPO to JKH: 2999\nOPO to BJA: 1326\nOPO to ILY: 1777\nOPO to DAU: 16310\nOPO to GAF: 1998\nGAF to JKH: 1764\nGAF to BJA: 1088\nGAF to ILY: 2796\nGAF to DAU: 15478\nJKH to BJA: 2247\nJKH to ILY: 3098\nJKH to DAU: 14261\nBJA to ILY: 2386\nBJA to DAU: 15913\nILY to DAU: 15516\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51059,
"style": "rule"
}
|
{
"exact_answer": 51059,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UVF\", \"id\": 0}, {\"name\": \"YCB\", \"id\": 1}, {\"name\": \"HER\", \"id\": 2}, {\"name\": \"OPO\", \"id\": 3}, {\"name\": \"GAF\", \"id\": 4}, {\"name\": \"JKH\", \"id\": 5}, {\"name\": \"BJA\", \"id\": 6}, {\"name\": \"ILY\", \"id\": 7}, {\"name\": \"DAU\", \"id\": 8}], \"links\": [{\"weight\": 9478, \"source\": 0, \"target\": 2}, {\"weight\": 7738, \"source\": 0, \"target\": 1}, {\"weight\": 9297, \"source\": 0, \"target\": 5}, {\"weight\": 7411, \"source\": 0, \"target\": 3}, {\"weight\": 8494, \"source\": 0, \"target\": 6}, {\"weight\": 7158, \"source\": 0, \"target\": 7}, {\"weight\": 18904, \"source\": 0, \"target\": 8}, {\"weight\": 8890, \"source\": 0, \"target\": 4}, {\"weight\": 11297, \"source\": 1, \"target\": 2}, {\"weight\": 11085, \"source\": 1, \"target\": 5}, {\"weight\": 9610, \"source\": 1, \"target\": 3}, {\"weight\": 10396, \"source\": 1, \"target\": 6}, {\"weight\": 8251, \"source\": 1, \"target\": 7}, {\"weight\": 15574, \"source\": 1, \"target\": 8}, {\"weight\": 10806, \"source\": 1, \"target\": 4}, {\"weight\": 506, \"source\": 2, \"target\": 5}, {\"weight\": 3096, \"source\": 2, \"target\": 3}, {\"weight\": 2359, \"source\": 2, \"target\": 6}, {\"weight\": 3312, \"source\": 2, \"target\": 7}, {\"weight\": 14128, \"source\": 2, \"target\": 8}, {\"weight\": 1876, \"source\": 2, \"target\": 4}, {\"weight\": 2999, \"source\": 3, \"target\": 5}, {\"weight\": 1326, \"source\": 3, \"target\": 6}, {\"weight\": 1777, \"source\": 3, \"target\": 7}, {\"weight\": 16310, \"source\": 3, \"target\": 8}, {\"weight\": 1998, \"source\": 3, \"target\": 4}, {\"weight\": 1764, \"source\": 4, \"target\": 5}, {\"weight\": 1088, \"source\": 4, \"target\": 6}, {\"weight\": 2796, \"source\": 4, \"target\": 7}, {\"weight\": 15478, \"source\": 4, \"target\": 8}, {\"weight\": 2247, \"source\": 5, \"target\": 6}, {\"weight\": 3098, \"source\": 5, \"target\": 7}, {\"weight\": 14261, \"source\": 5, \"target\": 8}, {\"weight\": 2386, \"source\": 6, \"target\": 7}, {\"weight\": 15913, \"source\": 6, \"target\": 8}, {\"weight\": 15516, \"source\": 7, \"target\": 8}]}",
"id": 2838,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YCB, HER, OPO, GAF, JKH, BJA, ILY, DAU\n- Travel distances (in kilometers) between each pair of airports:\nUVF to HER: 9478\nUVF to YCB: 7738\nUVF to JKH: 9297\nUVF to OPO: 7411\nUVF to BJA: 8494\nUVF to ILY: 7158\nUVF to DAU: 18904\nUVF to GAF: 8890\nYCB to HER: 11297\nYCB to JKH: 11085\nYCB to OPO: 9610\nYCB to BJA: 10396\nYCB to ILY: 8251\nYCB to DAU: 15574\nYCB to GAF: 10806\nHER to JKH: 506\nHER to OPO: 3096\nHER to BJA: 2359\nHER to ILY: 3312\nHER to DAU: 14128\nHER to GAF: 1876\nOPO to JKH: 2999\nOPO to BJA: 1326\nOPO to ILY: 1777\nOPO to DAU: 16310\nOPO to GAF: 1998\nGAF to JKH: 1764\nGAF to BJA: 1088\nGAF to ILY: 2796\nGAF to DAU: 15478\nJKH to BJA: 2247\nJKH to ILY: 3098\nJKH to DAU: 14261\nBJA to ILY: 2386\nBJA to DAU: 15913\nILY to DAU: 15516\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, SJW, CPT, MOZ, DLZ, BDL, TCB, BRI, PGX\n- Travel distances (in kilometers) between each pair of airports:\nBDH to TCB: 12920\nBDH to SJW: 6112\nBDH to BRI: 3906\nBDH to CPT: 7794\nBDH to BDL: 11006\nBDH to DLZ: 5846\nBDH to PGX: 5544\nBDH to MOZ: 17591\nSJW to TCB: 13538\nSJW to BRI: 8070\nSJW to CPT: 12812\nSJW to BDL: 11948\nSJW to DLZ: 2461\nSJW to PGX: 8969\nSJW to MOZ: 11758\nCPT to TCB: 14935\nCPT to BRI: 9419\nCPT to BDL: 13631\nCPT to DLZ: 13338\nCPT to PGX: 10032\nCPT to MOZ: 18439\nMOZ to TCB: 10673\nMOZ to BRI: 17121\nMOZ to BDL: 10685\nMOZ to DLZ: 13028\nMOZ to PGX: 16163\nDLZ to TCB: 14421\nDLZ to BRI: 7431\nDLZ to BDL: 12831\nDLZ to PGX: 8030\nBDL to TCB: 2175\nBDL to BRI: 7332\nBDL to PGX: 6336\nTCB to BRI: 9226\nTCB to PGX: 8186\nBRI to PGX: 1816\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58278,
"style": "rule"
}
|
{
"exact_answer": 58278,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BDH\", \"id\": 0}, {\"name\": \"SJW\", \"id\": 1}, {\"name\": \"CPT\", \"id\": 2}, {\"name\": \"MOZ\", \"id\": 3}, {\"name\": \"DLZ\", \"id\": 4}, {\"name\": \"BDL\", \"id\": 5}, {\"name\": \"TCB\", \"id\": 6}, {\"name\": \"BRI\", \"id\": 7}, {\"name\": \"PGX\", \"id\": 8}], \"links\": [{\"weight\": 12920, \"source\": 0, \"target\": 6}, {\"weight\": 6112, \"source\": 0, \"target\": 1}, {\"weight\": 3906, \"source\": 0, \"target\": 7}, {\"weight\": 7794, \"source\": 0, \"target\": 2}, {\"weight\": 11006, \"source\": 0, \"target\": 5}, {\"weight\": 5846, \"source\": 0, \"target\": 4}, {\"weight\": 5544, \"source\": 0, \"target\": 8}, {\"weight\": 17591, \"source\": 0, \"target\": 3}, {\"weight\": 13538, \"source\": 1, \"target\": 6}, {\"weight\": 8070, \"source\": 1, \"target\": 7}, {\"weight\": 12812, \"source\": 1, \"target\": 2}, {\"weight\": 11948, \"source\": 1, \"target\": 5}, {\"weight\": 2461, \"source\": 1, \"target\": 4}, {\"weight\": 8969, \"source\": 1, \"target\": 8}, {\"weight\": 11758, \"source\": 1, \"target\": 3}, {\"weight\": 14935, \"source\": 2, \"target\": 6}, {\"weight\": 9419, \"source\": 2, \"target\": 7}, {\"weight\": 13631, \"source\": 2, \"target\": 5}, {\"weight\": 13338, \"source\": 2, \"target\": 4}, {\"weight\": 10032, \"source\": 2, \"target\": 8}, {\"weight\": 18439, \"source\": 2, \"target\": 3}, {\"weight\": 10673, \"source\": 3, \"target\": 6}, {\"weight\": 17121, \"source\": 3, \"target\": 7}, {\"weight\": 10685, \"source\": 3, \"target\": 5}, {\"weight\": 13028, \"source\": 3, \"target\": 4}, {\"weight\": 16163, \"source\": 3, \"target\": 8}, {\"weight\": 14421, \"source\": 4, \"target\": 6}, {\"weight\": 7431, \"source\": 4, \"target\": 7}, {\"weight\": 12831, \"source\": 4, \"target\": 5}, {\"weight\": 8030, \"source\": 4, \"target\": 8}, {\"weight\": 2175, \"source\": 5, \"target\": 6}, {\"weight\": 7332, \"source\": 5, \"target\": 7}, {\"weight\": 6336, \"source\": 5, \"target\": 8}, {\"weight\": 9226, \"source\": 6, \"target\": 7}, {\"weight\": 8186, \"source\": 6, \"target\": 8}, {\"weight\": 1816, \"source\": 7, \"target\": 8}]}",
"id": 2839,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, SJW, CPT, MOZ, DLZ, BDL, TCB, BRI, PGX\n- Travel distances (in kilometers) between each pair of airports:\nBDH to TCB: 12920\nBDH to SJW: 6112\nBDH to BRI: 3906\nBDH to CPT: 7794\nBDH to BDL: 11006\nBDH to DLZ: 5846\nBDH to PGX: 5544\nBDH to MOZ: 17591\nSJW to TCB: 13538\nSJW to BRI: 8070\nSJW to CPT: 12812\nSJW to BDL: 11948\nSJW to DLZ: 2461\nSJW to PGX: 8969\nSJW to MOZ: 11758\nCPT to TCB: 14935\nCPT to BRI: 9419\nCPT to BDL: 13631\nCPT to DLZ: 13338\nCPT to PGX: 10032\nCPT to MOZ: 18439\nMOZ to TCB: 10673\nMOZ to BRI: 17121\nMOZ to BDL: 10685\nMOZ to DLZ: 13028\nMOZ to PGX: 16163\nDLZ to TCB: 14421\nDLZ to BRI: 7431\nDLZ to BDL: 12831\nDLZ to PGX: 8030\nBDL to TCB: 2175\nBDL to BRI: 7332\nBDL to PGX: 6336\nTCB to BRI: 9226\nTCB to PGX: 8186\nBRI to PGX: 1816\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: APF, PAG, BXR, MRZ, CYB, CLE, BDU, SPP, RBV\n- Travel distances (in kilometers) between each pair of airports:\nAPF to PAG: 15672\nAPF to CLE: 1895\nAPF to SPP: 12768\nAPF to BDU: 8870\nAPF to BXR: 12798\nAPF to RBV: 15198\nAPF to CYB: 833\nAPF to MRZ: 16273\nPAG to CLE: 13984\nPAG to SPP: 13758\nPAG to BDU: 11551\nPAG to BXR: 9276\nPAG to RBV: 5368\nPAG to CYB: 16199\nPAG to MRZ: 6925\nBXR to CLE: 11548\nBXR to SPP: 8486\nBXR to BDU: 6428\nBXR to RBV: 14123\nBXR to CYB: 13325\nBXR to MRZ: 14556\nMRZ to CLE: 15866\nMRZ to SPP: 14299\nMRZ to BDU: 17520\nMRZ to RBV: 3688\nMRZ to CYB: 16682\nCYB to CLE: 2422\nCYB to SPP: 12354\nCYB to BDU: 9397\nCYB to RBV: 15500\nCLE to SPP: 12106\nCLE to BDU: 7304\nCLE to RBV: 14580\nBDU to SPP: 9554\nBDU to RBV: 16387\nSPP to RBV: 16967\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61445,
"style": "rule"
}
|
{
"exact_answer": 61445,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"APF\", \"id\": 0}, {\"name\": \"PAG\", \"id\": 1}, {\"name\": \"BXR\", \"id\": 2}, {\"name\": \"MRZ\", \"id\": 3}, {\"name\": \"CYB\", \"id\": 4}, {\"name\": \"CLE\", \"id\": 5}, {\"name\": \"BDU\", \"id\": 6}, {\"name\": \"SPP\", \"id\": 7}, {\"name\": \"RBV\", \"id\": 8}], \"links\": [{\"weight\": 15672, \"source\": 0, \"target\": 1}, {\"weight\": 1895, \"source\": 0, \"target\": 5}, {\"weight\": 12768, \"source\": 0, \"target\": 7}, {\"weight\": 8870, \"source\": 0, \"target\": 6}, {\"weight\": 12798, \"source\": 0, \"target\": 2}, {\"weight\": 15198, \"source\": 0, \"target\": 8}, {\"weight\": 833, \"source\": 0, \"target\": 4}, {\"weight\": 16273, \"source\": 0, \"target\": 3}, {\"weight\": 13984, \"source\": 1, \"target\": 5}, {\"weight\": 13758, \"source\": 1, \"target\": 7}, {\"weight\": 11551, \"source\": 1, \"target\": 6}, {\"weight\": 9276, \"source\": 1, \"target\": 2}, {\"weight\": 5368, \"source\": 1, \"target\": 8}, {\"weight\": 16199, \"source\": 1, \"target\": 4}, {\"weight\": 6925, \"source\": 1, \"target\": 3}, {\"weight\": 11548, \"source\": 2, \"target\": 5}, {\"weight\": 8486, \"source\": 2, \"target\": 7}, {\"weight\": 6428, \"source\": 2, \"target\": 6}, {\"weight\": 14123, \"source\": 2, \"target\": 8}, {\"weight\": 13325, \"source\": 2, \"target\": 4}, {\"weight\": 14556, \"source\": 2, \"target\": 3}, {\"weight\": 15866, \"source\": 3, \"target\": 5}, {\"weight\": 14299, \"source\": 3, \"target\": 7}, {\"weight\": 17520, \"source\": 3, \"target\": 6}, {\"weight\": 3688, \"source\": 3, \"target\": 8}, {\"weight\": 16682, \"source\": 3, \"target\": 4}, {\"weight\": 2422, \"source\": 4, \"target\": 5}, {\"weight\": 12354, \"source\": 4, \"target\": 7}, {\"weight\": 9397, \"source\": 4, \"target\": 6}, {\"weight\": 15500, \"source\": 4, \"target\": 8}, {\"weight\": 12106, \"source\": 5, \"target\": 7}, {\"weight\": 7304, \"source\": 5, \"target\": 6}, {\"weight\": 14580, \"source\": 5, \"target\": 8}, {\"weight\": 9554, \"source\": 6, \"target\": 7}, {\"weight\": 16387, \"source\": 6, \"target\": 8}, {\"weight\": 16967, \"source\": 7, \"target\": 8}]}",
"id": 2840,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: APF, PAG, BXR, MRZ, CYB, CLE, BDU, SPP, RBV\n- Travel distances (in kilometers) between each pair of airports:\nAPF to PAG: 15672\nAPF to CLE: 1895\nAPF to SPP: 12768\nAPF to BDU: 8870\nAPF to BXR: 12798\nAPF to RBV: 15198\nAPF to CYB: 833\nAPF to MRZ: 16273\nPAG to CLE: 13984\nPAG to SPP: 13758\nPAG to BDU: 11551\nPAG to BXR: 9276\nPAG to RBV: 5368\nPAG to CYB: 16199\nPAG to MRZ: 6925\nBXR to CLE: 11548\nBXR to SPP: 8486\nBXR to BDU: 6428\nBXR to RBV: 14123\nBXR to CYB: 13325\nBXR to MRZ: 14556\nMRZ to CLE: 15866\nMRZ to SPP: 14299\nMRZ to BDU: 17520\nMRZ to RBV: 3688\nMRZ to CYB: 16682\nCYB to CLE: 2422\nCYB to SPP: 12354\nCYB to BDU: 9397\nCYB to RBV: 15500\nCLE to SPP: 12106\nCLE to BDU: 7304\nCLE to RBV: 14580\nBDU to SPP: 9554\nBDU to RBV: 16387\nSPP to RBV: 16967\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UDR, HOV, IPT, CLO, SHL, BRS, DMM, ANR, TNK\n- Travel distances (in kilometers) between each pair of airports:\nUDR to CLO: 16025\nUDR to BRS: 7430\nUDR to TNK: 16182\nUDR to DMM: 3121\nUDR to IPT: 12642\nUDR to ANR: 7548\nUDR to SHL: 2348\nUDR to HOV: 6856\nHOV to CLO: 9835\nHOV to BRS: 1400\nHOV to TNK: 10666\nHOV to DMM: 5314\nHOV to IPT: 6175\nHOV to ANR: 1718\nHOV to SHL: 8118\nIPT to CLO: 4351\nIPT to BRS: 5751\nIPT to TNK: 6651\nIPT to DMM: 10908\nIPT to ANR: 6237\nIPT to SHL: 13904\nCLO to BRS: 9293\nCLO to TNK: 9630\nCLO to DMM: 13402\nCLO to ANR: 9509\nCLO to SHL: 17287\nSHL to BRS: 8692\nSHL to TNK: 15914\nSHL to DMM: 4432\nSHL to ANR: 8810\nBRS to TNK: 10780\nBRS to DMM: 5172\nBRS to ANR: 852\nDMM to TNK: 15620\nDMM to ANR: 5294\nANR to TNK: 11185\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48999,
"style": "rule"
}
|
{
"exact_answer": 48999,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UDR\", \"id\": 0}, {\"name\": \"HOV\", \"id\": 1}, {\"name\": \"IPT\", \"id\": 2}, {\"name\": \"CLO\", \"id\": 3}, {\"name\": \"SHL\", \"id\": 4}, {\"name\": \"BRS\", \"id\": 5}, {\"name\": \"DMM\", \"id\": 6}, {\"name\": \"ANR\", \"id\": 7}, {\"name\": \"TNK\", \"id\": 8}], \"links\": [{\"weight\": 16025, \"source\": 0, \"target\": 3}, {\"weight\": 7430, \"source\": 0, \"target\": 5}, {\"weight\": 16182, \"source\": 0, \"target\": 8}, {\"weight\": 3121, \"source\": 0, \"target\": 6}, {\"weight\": 12642, \"source\": 0, \"target\": 2}, {\"weight\": 7548, \"source\": 0, \"target\": 7}, {\"weight\": 2348, \"source\": 0, \"target\": 4}, {\"weight\": 6856, \"source\": 0, \"target\": 1}, {\"weight\": 9835, \"source\": 1, \"target\": 3}, {\"weight\": 1400, \"source\": 1, \"target\": 5}, {\"weight\": 10666, \"source\": 1, \"target\": 8}, {\"weight\": 5314, \"source\": 1, \"target\": 6}, {\"weight\": 6175, \"source\": 1, \"target\": 2}, {\"weight\": 1718, \"source\": 1, \"target\": 7}, {\"weight\": 8118, \"source\": 1, \"target\": 4}, {\"weight\": 4351, \"source\": 2, \"target\": 3}, {\"weight\": 5751, \"source\": 2, \"target\": 5}, {\"weight\": 6651, \"source\": 2, \"target\": 8}, {\"weight\": 10908, \"source\": 2, \"target\": 6}, {\"weight\": 6237, \"source\": 2, \"target\": 7}, {\"weight\": 13904, \"source\": 2, \"target\": 4}, {\"weight\": 9293, \"source\": 3, \"target\": 5}, {\"weight\": 9630, \"source\": 3, \"target\": 8}, {\"weight\": 13402, \"source\": 3, \"target\": 6}, {\"weight\": 9509, \"source\": 3, \"target\": 7}, {\"weight\": 17287, \"source\": 3, \"target\": 4}, {\"weight\": 8692, \"source\": 4, \"target\": 5}, {\"weight\": 15914, \"source\": 4, \"target\": 8}, {\"weight\": 4432, \"source\": 4, \"target\": 6}, {\"weight\": 8810, \"source\": 4, \"target\": 7}, {\"weight\": 10780, \"source\": 5, \"target\": 8}, {\"weight\": 5172, \"source\": 5, \"target\": 6}, {\"weight\": 852, \"source\": 5, \"target\": 7}, {\"weight\": 15620, \"source\": 6, \"target\": 8}, {\"weight\": 5294, \"source\": 6, \"target\": 7}, {\"weight\": 11185, \"source\": 7, \"target\": 8}]}",
"id": 2841,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UDR, HOV, IPT, CLO, SHL, BRS, DMM, ANR, TNK\n- Travel distances (in kilometers) between each pair of airports:\nUDR to CLO: 16025\nUDR to BRS: 7430\nUDR to TNK: 16182\nUDR to DMM: 3121\nUDR to IPT: 12642\nUDR to ANR: 7548\nUDR to SHL: 2348\nUDR to HOV: 6856\nHOV to CLO: 9835\nHOV to BRS: 1400\nHOV to TNK: 10666\nHOV to DMM: 5314\nHOV to IPT: 6175\nHOV to ANR: 1718\nHOV to SHL: 8118\nIPT to CLO: 4351\nIPT to BRS: 5751\nIPT to TNK: 6651\nIPT to DMM: 10908\nIPT to ANR: 6237\nIPT to SHL: 13904\nCLO to BRS: 9293\nCLO to TNK: 9630\nCLO to DMM: 13402\nCLO to ANR: 9509\nCLO to SHL: 17287\nSHL to BRS: 8692\nSHL to TNK: 15914\nSHL to DMM: 4432\nSHL to ANR: 8810\nBRS to TNK: 10780\nBRS to DMM: 5172\nBRS to ANR: 852\nDMM to TNK: 15620\nDMM to ANR: 5294\nANR to TNK: 11185\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TTJ, NGS, TIA, MSL, IXM, LAZ, AOI, ASR, JHB\n- Travel distances (in kilometers) between each pair of airports:\nTTJ to MSL: 12040\nTTJ to AOI: 10406\nTTJ to IXM: 7508\nTTJ to TIA: 10397\nTTJ to LAZ: 18712\nTTJ to JHB: 6053\nTTJ to NGS: 1460\nTTJ to ASR: 10324\nNGS to MSL: 12330\nNGS to AOI: 9634\nNGS to IXM: 6054\nNGS to TIA: 9274\nNGS to LAZ: 18040\nNGS to JHB: 4836\nNGS to ASR: 9201\nTIA to MSL: 8951\nTIA to AOI: 844\nTIA to IXM: 7034\nTIA to LAZ: 9425\nTIA to JHB: 9388\nTIA to ASR: 1382\nMSL to AOI: 8448\nMSL to IXM: 15264\nMSL to LAZ: 8083\nMSL to JHB: 16519\nMSL to ASR: 10177\nIXM to AOI: 7876\nIXM to LAZ: 15839\nIXM to JHB: 3071\nIXM to ASR: 6826\nLAZ to AOI: 9017\nLAZ to JHB: 18205\nLAZ to ASR: 10754\nAOI to JHB: 10231\nAOI to ASR: 2225\nASR to JHB: 9162\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47559,
"style": "rule"
}
|
{
"exact_answer": 47559,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TTJ\", \"id\": 0}, {\"name\": \"NGS\", \"id\": 1}, {\"name\": \"TIA\", \"id\": 2}, {\"name\": \"MSL\", \"id\": 3}, {\"name\": \"IXM\", \"id\": 4}, {\"name\": \"LAZ\", \"id\": 5}, {\"name\": \"AOI\", \"id\": 6}, {\"name\": \"ASR\", \"id\": 7}, {\"name\": \"JHB\", \"id\": 8}], \"links\": [{\"weight\": 12040, \"source\": 0, \"target\": 3}, {\"weight\": 10406, \"source\": 0, \"target\": 6}, {\"weight\": 7508, \"source\": 0, \"target\": 4}, {\"weight\": 10397, \"source\": 0, \"target\": 2}, {\"weight\": 18712, \"source\": 0, \"target\": 5}, {\"weight\": 6053, \"source\": 0, \"target\": 8}, {\"weight\": 1460, \"source\": 0, \"target\": 1}, {\"weight\": 10324, \"source\": 0, \"target\": 7}, {\"weight\": 12330, \"source\": 1, \"target\": 3}, {\"weight\": 9634, \"source\": 1, \"target\": 6}, {\"weight\": 6054, \"source\": 1, \"target\": 4}, {\"weight\": 9274, \"source\": 1, \"target\": 2}, {\"weight\": 18040, \"source\": 1, \"target\": 5}, {\"weight\": 4836, \"source\": 1, \"target\": 8}, {\"weight\": 9201, \"source\": 1, \"target\": 7}, {\"weight\": 8951, \"source\": 2, \"target\": 3}, {\"weight\": 844, \"source\": 2, \"target\": 6}, {\"weight\": 7034, \"source\": 2, \"target\": 4}, {\"weight\": 9425, \"source\": 2, \"target\": 5}, {\"weight\": 9388, \"source\": 2, \"target\": 8}, {\"weight\": 1382, \"source\": 2, \"target\": 7}, {\"weight\": 8448, \"source\": 3, \"target\": 6}, {\"weight\": 15264, \"source\": 3, \"target\": 4}, {\"weight\": 8083, \"source\": 3, \"target\": 5}, {\"weight\": 16519, \"source\": 3, \"target\": 8}, {\"weight\": 10177, \"source\": 3, \"target\": 7}, {\"weight\": 7876, \"source\": 4, \"target\": 6}, {\"weight\": 15839, \"source\": 4, \"target\": 5}, {\"weight\": 3071, \"source\": 4, \"target\": 8}, {\"weight\": 6826, \"source\": 4, \"target\": 7}, {\"weight\": 9017, \"source\": 5, \"target\": 6}, {\"weight\": 18205, \"source\": 5, \"target\": 8}, {\"weight\": 10754, \"source\": 5, \"target\": 7}, {\"weight\": 10231, \"source\": 6, \"target\": 8}, {\"weight\": 2225, \"source\": 6, \"target\": 7}, {\"weight\": 9162, \"source\": 7, \"target\": 8}]}",
"id": 2842,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TTJ, NGS, TIA, MSL, IXM, LAZ, AOI, ASR, JHB\n- Travel distances (in kilometers) between each pair of airports:\nTTJ to MSL: 12040\nTTJ to AOI: 10406\nTTJ to IXM: 7508\nTTJ to TIA: 10397\nTTJ to LAZ: 18712\nTTJ to JHB: 6053\nTTJ to NGS: 1460\nTTJ to ASR: 10324\nNGS to MSL: 12330\nNGS to AOI: 9634\nNGS to IXM: 6054\nNGS to TIA: 9274\nNGS to LAZ: 18040\nNGS to JHB: 4836\nNGS to ASR: 9201\nTIA to MSL: 8951\nTIA to AOI: 844\nTIA to IXM: 7034\nTIA to LAZ: 9425\nTIA to JHB: 9388\nTIA to ASR: 1382\nMSL to AOI: 8448\nMSL to IXM: 15264\nMSL to LAZ: 8083\nMSL to JHB: 16519\nMSL to ASR: 10177\nIXM to AOI: 7876\nIXM to LAZ: 15839\nIXM to JHB: 3071\nIXM to ASR: 6826\nLAZ to AOI: 9017\nLAZ to JHB: 18205\nLAZ to ASR: 10754\nAOI to JHB: 10231\nAOI to ASR: 2225\nASR to JHB: 9162\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTN, GMB, HDM, EBJ, DRW, MRY, CMH, BHB, EGM\n- Travel distances (in kilometers) between each pair of airports:\nHTN to DRW: 8737\nHTN to BHB: 12232\nHTN to CMH: 12682\nHTN to MRY: 13046\nHTN to EBJ: 6522\nHTN to HDM: 4527\nHTN to GMB: 7601\nHTN to EGM: 11135\nGMB to DRW: 11569\nGMB to BHB: 11839\nGMB to CMH: 12466\nGMB to MRY: 15076\nGMB to EBJ: 6335\nGMB to HDM: 5179\nGMB to EGM: 14829\nHDM to DRW: 10379\nHDM to BHB: 11788\nHDM to CMH: 12412\nHDM to MRY: 14666\nHDM to EBJ: 5946\nHDM to EGM: 13351\nEBJ to DRW: 13258\nEBJ to BHB: 6200\nEBJ to CMH: 6671\nEBJ to MRY: 8927\nEBJ to EGM: 15656\nDRW to BHB: 17311\nDRW to CMH: 16696\nDRW to MRY: 14382\nDRW to EGM: 4182\nMRY to BHB: 4670\nMRY to CMH: 3392\nMRY to EGM: 11437\nCMH to BHB: 1343\nCMH to EGM: 14446\nBHB to EGM: 15748\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51332,
"style": "rule"
}
|
{
"exact_answer": 51332,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTN\", \"id\": 0}, {\"name\": \"GMB\", \"id\": 1}, {\"name\": \"HDM\", \"id\": 2}, {\"name\": \"EBJ\", \"id\": 3}, {\"name\": \"DRW\", \"id\": 4}, {\"name\": \"MRY\", \"id\": 5}, {\"name\": \"CMH\", \"id\": 6}, {\"name\": \"BHB\", \"id\": 7}, {\"name\": \"EGM\", \"id\": 8}], \"links\": [{\"weight\": 8737, \"source\": 0, \"target\": 4}, {\"weight\": 12232, \"source\": 0, \"target\": 7}, {\"weight\": 12682, \"source\": 0, \"target\": 6}, {\"weight\": 13046, \"source\": 0, \"target\": 5}, {\"weight\": 6522, \"source\": 0, \"target\": 3}, {\"weight\": 4527, \"source\": 0, \"target\": 2}, {\"weight\": 7601, \"source\": 0, \"target\": 1}, {\"weight\": 11135, \"source\": 0, \"target\": 8}, {\"weight\": 11569, \"source\": 1, \"target\": 4}, {\"weight\": 11839, \"source\": 1, \"target\": 7}, {\"weight\": 12466, \"source\": 1, \"target\": 6}, {\"weight\": 15076, \"source\": 1, \"target\": 5}, {\"weight\": 6335, \"source\": 1, \"target\": 3}, {\"weight\": 5179, \"source\": 1, \"target\": 2}, {\"weight\": 14829, \"source\": 1, \"target\": 8}, {\"weight\": 10379, \"source\": 2, \"target\": 4}, {\"weight\": 11788, \"source\": 2, \"target\": 7}, {\"weight\": 12412, \"source\": 2, \"target\": 6}, {\"weight\": 14666, \"source\": 2, \"target\": 5}, {\"weight\": 5946, \"source\": 2, \"target\": 3}, {\"weight\": 13351, \"source\": 2, \"target\": 8}, {\"weight\": 13258, \"source\": 3, \"target\": 4}, {\"weight\": 6200, \"source\": 3, \"target\": 7}, {\"weight\": 6671, \"source\": 3, \"target\": 6}, {\"weight\": 8927, \"source\": 3, \"target\": 5}, {\"weight\": 15656, \"source\": 3, \"target\": 8}, {\"weight\": 17311, \"source\": 4, \"target\": 7}, {\"weight\": 16696, \"source\": 4, \"target\": 6}, {\"weight\": 14382, \"source\": 4, \"target\": 5}, {\"weight\": 4182, \"source\": 4, \"target\": 8}, {\"weight\": 4670, \"source\": 5, \"target\": 7}, {\"weight\": 3392, \"source\": 5, \"target\": 6}, {\"weight\": 11437, \"source\": 5, \"target\": 8}, {\"weight\": 1343, \"source\": 6, \"target\": 7}, {\"weight\": 14446, \"source\": 6, \"target\": 8}, {\"weight\": 15748, \"source\": 7, \"target\": 8}]}",
"id": 2843,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTN, GMB, HDM, EBJ, DRW, MRY, CMH, BHB, EGM\n- Travel distances (in kilometers) between each pair of airports:\nHTN to DRW: 8737\nHTN to BHB: 12232\nHTN to CMH: 12682\nHTN to MRY: 13046\nHTN to EBJ: 6522\nHTN to HDM: 4527\nHTN to GMB: 7601\nHTN to EGM: 11135\nGMB to DRW: 11569\nGMB to BHB: 11839\nGMB to CMH: 12466\nGMB to MRY: 15076\nGMB to EBJ: 6335\nGMB to HDM: 5179\nGMB to EGM: 14829\nHDM to DRW: 10379\nHDM to BHB: 11788\nHDM to CMH: 12412\nHDM to MRY: 14666\nHDM to EBJ: 5946\nHDM to EGM: 13351\nEBJ to DRW: 13258\nEBJ to BHB: 6200\nEBJ to CMH: 6671\nEBJ to MRY: 8927\nEBJ to EGM: 15656\nDRW to BHB: 17311\nDRW to CMH: 16696\nDRW to MRY: 14382\nDRW to EGM: 4182\nMRY to BHB: 4670\nMRY to CMH: 3392\nMRY to EGM: 11437\nCMH to BHB: 1343\nCMH to EGM: 14446\nBHB to EGM: 15748\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPK, YRG, LEI, CKG, CIY, NYU, INB, SWA, CIT\n- Travel distances (in kilometers) between each pair of airports:\nUPK to SWA: 12770\nUPK to CKG: 11636\nUPK to NYU: 12851\nUPK to LEI: 5916\nUPK to CIY: 6343\nUPK to CIT: 8463\nUPK to INB: 9674\nUPK to YRG: 8131\nYRG to SWA: 14412\nYRG to CKG: 13256\nYRG to NYU: 14188\nYRG to LEI: 6370\nYRG to CIY: 6718\nYRG to CIT: 9943\nYRG to INB: 5063\nLEI to SWA: 10884\nLEI to CKG: 9681\nLEI to NYU: 10155\nLEI to CIY: 1966\nLEI to CIT: 6107\nLEI to INB: 8671\nCKG to SWA: 1224\nCKG to NYU: 1553\nCKG to CIY: 8945\nCKG to CIT: 3778\nCKG to INB: 14697\nCIY to SWA: 10148\nCIY to NYU: 9311\nCIY to CIT: 5263\nCIY to INB: 10336\nNYU to SWA: 2342\nNYU to CIT: 5072\nNYU to INB: 16250\nINB to SWA: 14835\nINB to CIT: 13228\nSWA to CIT: 4981\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48191,
"style": "rule"
}
|
{
"exact_answer": 48191,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UPK\", \"id\": 0}, {\"name\": \"YRG\", \"id\": 1}, {\"name\": \"LEI\", \"id\": 2}, {\"name\": \"CKG\", \"id\": 3}, {\"name\": \"CIY\", \"id\": 4}, {\"name\": \"NYU\", \"id\": 5}, {\"name\": \"INB\", \"id\": 6}, {\"name\": \"SWA\", \"id\": 7}, {\"name\": \"CIT\", \"id\": 8}], \"links\": [{\"weight\": 12770, \"source\": 0, \"target\": 7}, {\"weight\": 11636, \"source\": 0, \"target\": 3}, {\"weight\": 12851, \"source\": 0, \"target\": 5}, {\"weight\": 5916, \"source\": 0, \"target\": 2}, {\"weight\": 6343, \"source\": 0, \"target\": 4}, {\"weight\": 8463, \"source\": 0, \"target\": 8}, {\"weight\": 9674, \"source\": 0, \"target\": 6}, {\"weight\": 8131, \"source\": 0, \"target\": 1}, {\"weight\": 14412, \"source\": 1, \"target\": 7}, {\"weight\": 13256, \"source\": 1, \"target\": 3}, {\"weight\": 14188, \"source\": 1, \"target\": 5}, {\"weight\": 6370, \"source\": 1, \"target\": 2}, {\"weight\": 6718, \"source\": 1, \"target\": 4}, {\"weight\": 9943, \"source\": 1, \"target\": 8}, {\"weight\": 5063, \"source\": 1, \"target\": 6}, {\"weight\": 10884, \"source\": 2, \"target\": 7}, {\"weight\": 9681, \"source\": 2, \"target\": 3}, {\"weight\": 10155, \"source\": 2, \"target\": 5}, {\"weight\": 1966, \"source\": 2, \"target\": 4}, {\"weight\": 6107, \"source\": 2, \"target\": 8}, {\"weight\": 8671, \"source\": 2, \"target\": 6}, {\"weight\": 1224, \"source\": 3, \"target\": 7}, {\"weight\": 1553, \"source\": 3, \"target\": 5}, {\"weight\": 8945, \"source\": 3, \"target\": 4}, {\"weight\": 3778, \"source\": 3, \"target\": 8}, {\"weight\": 14697, \"source\": 3, \"target\": 6}, {\"weight\": 10148, \"source\": 4, \"target\": 7}, {\"weight\": 9311, \"source\": 4, \"target\": 5}, {\"weight\": 5263, \"source\": 4, \"target\": 8}, {\"weight\": 10336, \"source\": 4, \"target\": 6}, {\"weight\": 2342, \"source\": 5, \"target\": 7}, {\"weight\": 5072, \"source\": 5, \"target\": 8}, {\"weight\": 16250, \"source\": 5, \"target\": 6}, {\"weight\": 14835, \"source\": 6, \"target\": 7}, {\"weight\": 13228, \"source\": 6, \"target\": 8}, {\"weight\": 4981, \"source\": 7, \"target\": 8}]}",
"id": 2844,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPK, YRG, LEI, CKG, CIY, NYU, INB, SWA, CIT\n- Travel distances (in kilometers) between each pair of airports:\nUPK to SWA: 12770\nUPK to CKG: 11636\nUPK to NYU: 12851\nUPK to LEI: 5916\nUPK to CIY: 6343\nUPK to CIT: 8463\nUPK to INB: 9674\nUPK to YRG: 8131\nYRG to SWA: 14412\nYRG to CKG: 13256\nYRG to NYU: 14188\nYRG to LEI: 6370\nYRG to CIY: 6718\nYRG to CIT: 9943\nYRG to INB: 5063\nLEI to SWA: 10884\nLEI to CKG: 9681\nLEI to NYU: 10155\nLEI to CIY: 1966\nLEI to CIT: 6107\nLEI to INB: 8671\nCKG to SWA: 1224\nCKG to NYU: 1553\nCKG to CIY: 8945\nCKG to CIT: 3778\nCKG to INB: 14697\nCIY to SWA: 10148\nCIY to NYU: 9311\nCIY to CIT: 5263\nCIY to INB: 10336\nNYU to SWA: 2342\nNYU to CIT: 5072\nNYU to INB: 16250\nINB to SWA: 14835\nINB to CIT: 13228\nSWA to CIT: 4981\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXS, TSA, ERM, CGD, PUF, YBX, HSL, OKA, ORY\n- Travel distances (in kilometers) between each pair of airports:\nIXS to TSA: 3903\nIXS to HSL: 15593\nIXS to CGD: 2983\nIXS to ORY: 8263\nIXS to PUF: 8558\nIXS to OKA: 4515\nIXS to ERM: 16733\nIXS to YBX: 12652\nTSA to HSL: 12675\nTSA to CGD: 1156\nTSA to ORY: 9925\nTSA to PUF: 10460\nTSA to OKA: 957\nTSA to ERM: 19547\nTSA to YBX: 14029\nERM to HSL: 14246\nERM to CGD: 18668\nERM to ORY: 10100\nERM to PUF: 10315\nERM to OKA: 20116\nERM to YBX: 10264\nCGD to HSL: 12867\nCGD to ORY: 8984\nCGD to PUF: 9519\nCGD to OKA: 1779\nCGD to YBX: 13200\nPUF to ORY: 632\nPUF to HSL: 11568\nPUF to OKA: 10657\nPUF to YBX: 5274\nYBX to HSL: 7831\nYBX to ORY: 4642\nYBX to OKA: 13814\nHSL to ORY: 10936\nHSL to OKA: 12133\nOKA to ORY: 10082\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54534,
"style": "rule"
}
|
{
"exact_answer": 54534,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXS\", \"id\": 0}, {\"name\": \"TSA\", \"id\": 1}, {\"name\": \"ERM\", \"id\": 2}, {\"name\": \"CGD\", \"id\": 3}, {\"name\": \"PUF\", \"id\": 4}, {\"name\": \"YBX\", \"id\": 5}, {\"name\": \"HSL\", \"id\": 6}, {\"name\": \"OKA\", \"id\": 7}, {\"name\": \"ORY\", \"id\": 8}], \"links\": [{\"weight\": 3903, \"source\": 0, \"target\": 1}, {\"weight\": 15593, \"source\": 0, \"target\": 6}, {\"weight\": 2983, \"source\": 0, \"target\": 3}, {\"weight\": 8263, \"source\": 0, \"target\": 8}, {\"weight\": 8558, \"source\": 0, \"target\": 4}, {\"weight\": 4515, \"source\": 0, \"target\": 7}, {\"weight\": 16733, \"source\": 0, \"target\": 2}, {\"weight\": 12652, \"source\": 0, \"target\": 5}, {\"weight\": 12675, \"source\": 1, \"target\": 6}, {\"weight\": 1156, \"source\": 1, \"target\": 3}, {\"weight\": 9925, \"source\": 1, \"target\": 8}, {\"weight\": 10460, \"source\": 1, \"target\": 4}, {\"weight\": 957, \"source\": 1, \"target\": 7}, {\"weight\": 19547, \"source\": 1, \"target\": 2}, {\"weight\": 14029, \"source\": 1, \"target\": 5}, {\"weight\": 14246, \"source\": 2, \"target\": 6}, {\"weight\": 18668, \"source\": 2, \"target\": 3}, {\"weight\": 10100, \"source\": 2, \"target\": 8}, {\"weight\": 10315, \"source\": 2, \"target\": 4}, {\"weight\": 20116, \"source\": 2, \"target\": 7}, {\"weight\": 10264, \"source\": 2, \"target\": 5}, {\"weight\": 12867, \"source\": 3, \"target\": 6}, {\"weight\": 8984, \"source\": 3, \"target\": 8}, {\"weight\": 9519, \"source\": 3, \"target\": 4}, {\"weight\": 1779, \"source\": 3, \"target\": 7}, {\"weight\": 13200, \"source\": 3, \"target\": 5}, {\"weight\": 632, \"source\": 4, \"target\": 8}, {\"weight\": 11568, \"source\": 4, \"target\": 6}, {\"weight\": 10657, \"source\": 4, \"target\": 7}, {\"weight\": 5274, \"source\": 4, \"target\": 5}, {\"weight\": 7831, \"source\": 5, \"target\": 6}, {\"weight\": 4642, \"source\": 5, \"target\": 8}, {\"weight\": 13814, \"source\": 5, \"target\": 7}, {\"weight\": 10936, \"source\": 6, \"target\": 8}, {\"weight\": 12133, \"source\": 6, \"target\": 7}, {\"weight\": 10082, \"source\": 7, \"target\": 8}]}",
"id": 2845,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXS, TSA, ERM, CGD, PUF, YBX, HSL, OKA, ORY\n- Travel distances (in kilometers) between each pair of airports:\nIXS to TSA: 3903\nIXS to HSL: 15593\nIXS to CGD: 2983\nIXS to ORY: 8263\nIXS to PUF: 8558\nIXS to OKA: 4515\nIXS to ERM: 16733\nIXS to YBX: 12652\nTSA to HSL: 12675\nTSA to CGD: 1156\nTSA to ORY: 9925\nTSA to PUF: 10460\nTSA to OKA: 957\nTSA to ERM: 19547\nTSA to YBX: 14029\nERM to HSL: 14246\nERM to CGD: 18668\nERM to ORY: 10100\nERM to PUF: 10315\nERM to OKA: 20116\nERM to YBX: 10264\nCGD to HSL: 12867\nCGD to ORY: 8984\nCGD to PUF: 9519\nCGD to OKA: 1779\nCGD to YBX: 13200\nPUF to ORY: 632\nPUF to HSL: 11568\nPUF to OKA: 10657\nPUF to YBX: 5274\nYBX to HSL: 7831\nYBX to ORY: 4642\nYBX to OKA: 13814\nHSL to ORY: 10936\nHSL to OKA: 12133\nOKA to ORY: 10082\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKB, SYQ, ILR, TVC, LCY, GAE, YUS, CRW, BHU\n- Travel distances (in kilometers) between each pair of airports:\nUKB to SYQ: 13625\nUKB to CRW: 11485\nUKB to BHU: 6694\nUKB to LCY: 9713\nUKB to TVC: 10891\nUKB to YUS: 3640\nUKB to GAE: 10713\nUKB to ILR: 13023\nSYQ to CRW: 3301\nSYQ to BHU: 16545\nSYQ to LCY: 9254\nSYQ to TVC: 4022\nSYQ to YUS: 16038\nSYQ to GAE: 10419\nSYQ to ILR: 12284\nILR to CRW: 9983\nILR to BHU: 7773\nILR to LCY: 5303\nILR to TVC: 10334\nILR to YUS: 10947\nILR to GAE: 4592\nTVC to CRW: 785\nTVC to BHU: 13524\nTVC to LCY: 6414\nTVC to YUS: 12852\nTVC to GAE: 8282\nLCY to CRW: 6302\nLCY to BHU: 7490\nLCY to YUS: 8291\nLCY to GAE: 2145\nGAE to CRW: 8068\nGAE to BHU: 6986\nGAE to YUS: 8797\nYUS to CRW: 13030\nYUS to BHU: 4383\nCRW to BHU: 13554\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46658,
"style": "rule"
}
|
{
"exact_answer": 46658,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKB\", \"id\": 0}, {\"name\": \"SYQ\", \"id\": 1}, {\"name\": \"ILR\", \"id\": 2}, {\"name\": \"TVC\", \"id\": 3}, {\"name\": \"LCY\", \"id\": 4}, {\"name\": \"GAE\", \"id\": 5}, {\"name\": \"YUS\", \"id\": 6}, {\"name\": \"CRW\", \"id\": 7}, {\"name\": \"BHU\", \"id\": 8}], \"links\": [{\"weight\": 13625, \"source\": 0, \"target\": 1}, {\"weight\": 11485, \"source\": 0, \"target\": 7}, {\"weight\": 6694, \"source\": 0, \"target\": 8}, {\"weight\": 9713, \"source\": 0, \"target\": 4}, {\"weight\": 10891, \"source\": 0, \"target\": 3}, {\"weight\": 3640, \"source\": 0, \"target\": 6}, {\"weight\": 10713, \"source\": 0, \"target\": 5}, {\"weight\": 13023, \"source\": 0, \"target\": 2}, {\"weight\": 3301, \"source\": 1, \"target\": 7}, {\"weight\": 16545, \"source\": 1, \"target\": 8}, {\"weight\": 9254, \"source\": 1, \"target\": 4}, {\"weight\": 4022, \"source\": 1, \"target\": 3}, {\"weight\": 16038, \"source\": 1, \"target\": 6}, {\"weight\": 10419, \"source\": 1, \"target\": 5}, {\"weight\": 12284, \"source\": 1, \"target\": 2}, {\"weight\": 9983, \"source\": 2, \"target\": 7}, {\"weight\": 7773, \"source\": 2, \"target\": 8}, {\"weight\": 5303, \"source\": 2, \"target\": 4}, {\"weight\": 10334, \"source\": 2, \"target\": 3}, {\"weight\": 10947, \"source\": 2, \"target\": 6}, {\"weight\": 4592, \"source\": 2, \"target\": 5}, {\"weight\": 785, \"source\": 3, \"target\": 7}, {\"weight\": 13524, \"source\": 3, \"target\": 8}, {\"weight\": 6414, \"source\": 3, \"target\": 4}, {\"weight\": 12852, \"source\": 3, \"target\": 6}, {\"weight\": 8282, \"source\": 3, \"target\": 5}, {\"weight\": 6302, \"source\": 4, \"target\": 7}, {\"weight\": 7490, \"source\": 4, \"target\": 8}, {\"weight\": 8291, \"source\": 4, \"target\": 6}, {\"weight\": 2145, \"source\": 4, \"target\": 5}, {\"weight\": 8068, \"source\": 5, \"target\": 7}, {\"weight\": 6986, \"source\": 5, \"target\": 8}, {\"weight\": 8797, \"source\": 5, \"target\": 6}, {\"weight\": 13030, \"source\": 6, \"target\": 7}, {\"weight\": 4383, \"source\": 6, \"target\": 8}, {\"weight\": 13554, \"source\": 7, \"target\": 8}]}",
"id": 2846,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKB, SYQ, ILR, TVC, LCY, GAE, YUS, CRW, BHU\n- Travel distances (in kilometers) between each pair of airports:\nUKB to SYQ: 13625\nUKB to CRW: 11485\nUKB to BHU: 6694\nUKB to LCY: 9713\nUKB to TVC: 10891\nUKB to YUS: 3640\nUKB to GAE: 10713\nUKB to ILR: 13023\nSYQ to CRW: 3301\nSYQ to BHU: 16545\nSYQ to LCY: 9254\nSYQ to TVC: 4022\nSYQ to YUS: 16038\nSYQ to GAE: 10419\nSYQ to ILR: 12284\nILR to CRW: 9983\nILR to BHU: 7773\nILR to LCY: 5303\nILR to TVC: 10334\nILR to YUS: 10947\nILR to GAE: 4592\nTVC to CRW: 785\nTVC to BHU: 13524\nTVC to LCY: 6414\nTVC to YUS: 12852\nTVC to GAE: 8282\nLCY to CRW: 6302\nLCY to BHU: 7490\nLCY to YUS: 8291\nLCY to GAE: 2145\nGAE to CRW: 8068\nGAE to BHU: 6986\nGAE to YUS: 8797\nYUS to CRW: 13030\nYUS to BHU: 4383\nCRW to BHU: 13554\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, ACI, BTR, HNS, SWF, EQS, DEB, OSW, SGC\n- Travel distances (in kilometers) between each pair of airports:\nERI to SGC: 10052\nERI to EQS: 9898\nERI to BTR: 1770\nERI to SWF: 686\nERI to ACI: 6279\nERI to HNS: 4924\nERI to OSW: 9470\nERI to DEB: 7795\nACI to SGC: 4877\nACI to EQS: 12742\nACI to BTR: 7591\nACI to SWF: 6005\nACI to HNS: 9457\nACI to OSW: 4235\nACI to DEB: 1985\nBTR to SGC: 11487\nBTR to EQS: 9272\nBTR to SWF: 1996\nBTR to HNS: 4854\nBTR to OSW: 10905\nBTR to DEB: 9109\nHNS to SGC: 12798\nHNS to EQS: 13307\nHNS to SWF: 5431\nHNS to OSW: 12216\nHNS to DEB: 10875\nSWF to SGC: 9924\nSWF to EQS: 9789\nSWF to OSW: 9342\nSWF to DEB: 7524\nEQS to SGC: 17048\nEQS to OSW: 16378\nEQS to DEB: 14110\nDEB to SGC: 5536\nDEB to OSW: 4881\nOSW to SGC: 3593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52861,
"style": "rule"
}
|
{
"exact_answer": 52861,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERI\", \"id\": 0}, {\"name\": \"ACI\", \"id\": 1}, {\"name\": \"BTR\", \"id\": 2}, {\"name\": \"HNS\", \"id\": 3}, {\"name\": \"SWF\", \"id\": 4}, {\"name\": \"EQS\", \"id\": 5}, {\"name\": \"DEB\", \"id\": 6}, {\"name\": \"OSW\", \"id\": 7}, {\"name\": \"SGC\", \"id\": 8}], \"links\": [{\"weight\": 10052, \"source\": 0, \"target\": 8}, {\"weight\": 9898, \"source\": 0, \"target\": 5}, {\"weight\": 1770, \"source\": 0, \"target\": 2}, {\"weight\": 686, \"source\": 0, \"target\": 4}, {\"weight\": 6279, \"source\": 0, \"target\": 1}, {\"weight\": 4924, \"source\": 0, \"target\": 3}, {\"weight\": 9470, \"source\": 0, \"target\": 7}, {\"weight\": 7795, \"source\": 0, \"target\": 6}, {\"weight\": 4877, \"source\": 1, \"target\": 8}, {\"weight\": 12742, \"source\": 1, \"target\": 5}, {\"weight\": 7591, \"source\": 1, \"target\": 2}, {\"weight\": 6005, \"source\": 1, \"target\": 4}, {\"weight\": 9457, \"source\": 1, \"target\": 3}, {\"weight\": 4235, \"source\": 1, \"target\": 7}, {\"weight\": 1985, \"source\": 1, \"target\": 6}, {\"weight\": 11487, \"source\": 2, \"target\": 8}, {\"weight\": 9272, \"source\": 2, \"target\": 5}, {\"weight\": 1996, \"source\": 2, \"target\": 4}, {\"weight\": 4854, \"source\": 2, \"target\": 3}, {\"weight\": 10905, \"source\": 2, \"target\": 7}, {\"weight\": 9109, \"source\": 2, \"target\": 6}, {\"weight\": 12798, \"source\": 3, \"target\": 8}, {\"weight\": 13307, \"source\": 3, \"target\": 5}, {\"weight\": 5431, \"source\": 3, \"target\": 4}, {\"weight\": 12216, \"source\": 3, \"target\": 7}, {\"weight\": 10875, \"source\": 3, \"target\": 6}, {\"weight\": 9924, \"source\": 4, \"target\": 8}, {\"weight\": 9789, \"source\": 4, \"target\": 5}, {\"weight\": 9342, \"source\": 4, \"target\": 7}, {\"weight\": 7524, \"source\": 4, \"target\": 6}, {\"weight\": 17048, \"source\": 5, \"target\": 8}, {\"weight\": 16378, \"source\": 5, \"target\": 7}, {\"weight\": 14110, \"source\": 5, \"target\": 6}, {\"weight\": 5536, \"source\": 6, \"target\": 8}, {\"weight\": 4881, \"source\": 6, \"target\": 7}, {\"weight\": 3593, \"source\": 7, \"target\": 8}]}",
"id": 2847,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, ACI, BTR, HNS, SWF, EQS, DEB, OSW, SGC\n- Travel distances (in kilometers) between each pair of airports:\nERI to SGC: 10052\nERI to EQS: 9898\nERI to BTR: 1770\nERI to SWF: 686\nERI to ACI: 6279\nERI to HNS: 4924\nERI to OSW: 9470\nERI to DEB: 7795\nACI to SGC: 4877\nACI to EQS: 12742\nACI to BTR: 7591\nACI to SWF: 6005\nACI to HNS: 9457\nACI to OSW: 4235\nACI to DEB: 1985\nBTR to SGC: 11487\nBTR to EQS: 9272\nBTR to SWF: 1996\nBTR to HNS: 4854\nBTR to OSW: 10905\nBTR to DEB: 9109\nHNS to SGC: 12798\nHNS to EQS: 13307\nHNS to SWF: 5431\nHNS to OSW: 12216\nHNS to DEB: 10875\nSWF to SGC: 9924\nSWF to EQS: 9789\nSWF to OSW: 9342\nSWF to DEB: 7524\nEQS to SGC: 17048\nEQS to OSW: 16378\nEQS to DEB: 14110\nDEB to SGC: 5536\nDEB to OSW: 4881\nOSW to SGC: 3593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URE, TKU, SOY, CIY, INL, ROW, ALG, HNL, THN\n- Travel distances (in kilometers) between each pair of airports:\nURE to TKU: 436\nURE to ALG: 3151\nURE to HNL: 12764\nURE to ROW: 9421\nURE to CIY: 2902\nURE to THN: 1034\nURE to INL: 8348\nURE to SOY: 2001\nTKU to ALG: 3005\nTKU to HNL: 12484\nTKU to ROW: 9103\nTKU to CIY: 2742\nTKU to THN: 896\nTKU to INL: 8059\nTKU to SOY: 1683\nSOY to ALG: 2538\nSOY to HNL: 11811\nSOY to ROW: 8291\nSOY to CIY: 2797\nSOY to THN: 1852\nSOY to INL: 7161\nCIY to ALG: 1748\nCIY to HNL: 13929\nCIY to ROW: 10313\nCIY to THN: 3107\nCIY to INL: 8861\nINL to ALG: 8208\nINL to HNL: 6804\nINL to ROW: 2480\nINL to THN: 8386\nROW to ALG: 9396\nROW to HNL: 6779\nROW to THN: 9516\nALG to HNL: 13590\nALG to THN: 3145\nHNL to THN: 12802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 37090,
"style": "rule"
}
|
{
"exact_answer": 37090,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"URE\", \"id\": 0}, {\"name\": \"TKU\", \"id\": 1}, {\"name\": \"SOY\", \"id\": 2}, {\"name\": \"CIY\", \"id\": 3}, {\"name\": \"INL\", \"id\": 4}, {\"name\": \"ROW\", \"id\": 5}, {\"name\": \"ALG\", \"id\": 6}, {\"name\": \"HNL\", \"id\": 7}, {\"name\": \"THN\", \"id\": 8}], \"links\": [{\"weight\": 436, \"source\": 0, \"target\": 1}, {\"weight\": 3151, \"source\": 0, \"target\": 6}, {\"weight\": 12764, \"source\": 0, \"target\": 7}, {\"weight\": 9421, \"source\": 0, \"target\": 5}, {\"weight\": 2902, \"source\": 0, \"target\": 3}, {\"weight\": 1034, \"source\": 0, \"target\": 8}, {\"weight\": 8348, \"source\": 0, \"target\": 4}, {\"weight\": 2001, \"source\": 0, \"target\": 2}, {\"weight\": 3005, \"source\": 1, \"target\": 6}, {\"weight\": 12484, \"source\": 1, \"target\": 7}, {\"weight\": 9103, \"source\": 1, \"target\": 5}, {\"weight\": 2742, \"source\": 1, \"target\": 3}, {\"weight\": 896, \"source\": 1, \"target\": 8}, {\"weight\": 8059, \"source\": 1, \"target\": 4}, {\"weight\": 1683, \"source\": 1, \"target\": 2}, {\"weight\": 2538, \"source\": 2, \"target\": 6}, {\"weight\": 11811, \"source\": 2, \"target\": 7}, {\"weight\": 8291, \"source\": 2, \"target\": 5}, {\"weight\": 2797, \"source\": 2, \"target\": 3}, {\"weight\": 1852, \"source\": 2, \"target\": 8}, {\"weight\": 7161, \"source\": 2, \"target\": 4}, {\"weight\": 1748, \"source\": 3, \"target\": 6}, {\"weight\": 13929, \"source\": 3, \"target\": 7}, {\"weight\": 10313, \"source\": 3, \"target\": 5}, {\"weight\": 3107, \"source\": 3, \"target\": 8}, {\"weight\": 8861, \"source\": 3, \"target\": 4}, {\"weight\": 8208, \"source\": 4, \"target\": 6}, {\"weight\": 6804, \"source\": 4, \"target\": 7}, {\"weight\": 2480, \"source\": 4, \"target\": 5}, {\"weight\": 8386, \"source\": 4, \"target\": 8}, {\"weight\": 9396, \"source\": 5, \"target\": 6}, {\"weight\": 6779, \"source\": 5, \"target\": 7}, {\"weight\": 9516, \"source\": 5, \"target\": 8}, {\"weight\": 13590, \"source\": 6, \"target\": 7}, {\"weight\": 3145, \"source\": 6, \"target\": 8}, {\"weight\": 12802, \"source\": 7, \"target\": 8}]}",
"id": 2848,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URE, TKU, SOY, CIY, INL, ROW, ALG, HNL, THN\n- Travel distances (in kilometers) between each pair of airports:\nURE to TKU: 436\nURE to ALG: 3151\nURE to HNL: 12764\nURE to ROW: 9421\nURE to CIY: 2902\nURE to THN: 1034\nURE to INL: 8348\nURE to SOY: 2001\nTKU to ALG: 3005\nTKU to HNL: 12484\nTKU to ROW: 9103\nTKU to CIY: 2742\nTKU to THN: 896\nTKU to INL: 8059\nTKU to SOY: 1683\nSOY to ALG: 2538\nSOY to HNL: 11811\nSOY to ROW: 8291\nSOY to CIY: 2797\nSOY to THN: 1852\nSOY to INL: 7161\nCIY to ALG: 1748\nCIY to HNL: 13929\nCIY to ROW: 10313\nCIY to THN: 3107\nCIY to INL: 8861\nINL to ALG: 8208\nINL to HNL: 6804\nINL to ROW: 2480\nINL to THN: 8386\nROW to ALG: 9396\nROW to HNL: 6779\nROW to THN: 9516\nALG to HNL: 13590\nALG to THN: 3145\nHNL to THN: 12802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HEK, SZX, UTP, BDQ, YFH, KLL, VCL, POM, YZZ\n- Travel distances (in kilometers) between each pair of airports:\nHEK to SZX: 3312\nHEK to BDQ: 6123\nHEK to YZZ: 10009\nHEK to POM: 7227\nHEK to KLL: 12639\nHEK to UTP: 5631\nHEK to VCL: 4564\nHEK to YFH: 12254\nSZX to BDQ: 4522\nSZX to YZZ: 10648\nSZX to POM: 5499\nSZX to KLL: 13255\nSZX to UTP: 2527\nSZX to VCL: 1582\nSZX to YFH: 13057\nUTP to BDQ: 4218\nUTP to YZZ: 13040\nUTP to POM: 6305\nUTP to KLL: 15660\nUTP to VCL: 2098\nUTP to YFH: 15466\nBDQ to YZZ: 13501\nBDQ to POM: 9216\nBDQ to KLL: 16121\nBDQ to VCL: 4662\nBDQ to YFH: 13740\nYFH to YZZ: 3236\nYFH to POM: 15181\nYFH to KLL: 5722\nYFH to VCL: 14370\nKLL to YZZ: 3447\nKLL to POM: 13482\nKLL to VCL: 14564\nVCL to YZZ: 11944\nVCL to POM: 6093\nPOM to YZZ: 12985\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51939,
"style": "rule"
}
|
{
"exact_answer": 51939,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HEK\", \"id\": 0}, {\"name\": \"SZX\", \"id\": 1}, {\"name\": \"UTP\", \"id\": 2}, {\"name\": \"BDQ\", \"id\": 3}, {\"name\": \"YFH\", \"id\": 4}, {\"name\": \"KLL\", \"id\": 5}, {\"name\": \"VCL\", \"id\": 6}, {\"name\": \"POM\", \"id\": 7}, {\"name\": \"YZZ\", \"id\": 8}], \"links\": [{\"weight\": 3312, \"source\": 0, \"target\": 1}, {\"weight\": 6123, \"source\": 0, \"target\": 3}, {\"weight\": 10009, \"source\": 0, \"target\": 8}, {\"weight\": 7227, \"source\": 0, \"target\": 7}, {\"weight\": 12639, \"source\": 0, \"target\": 5}, {\"weight\": 5631, \"source\": 0, \"target\": 2}, {\"weight\": 4564, \"source\": 0, \"target\": 6}, {\"weight\": 12254, \"source\": 0, \"target\": 4}, {\"weight\": 4522, \"source\": 1, \"target\": 3}, {\"weight\": 10648, \"source\": 1, \"target\": 8}, {\"weight\": 5499, \"source\": 1, \"target\": 7}, {\"weight\": 13255, \"source\": 1, \"target\": 5}, {\"weight\": 2527, \"source\": 1, \"target\": 2}, {\"weight\": 1582, \"source\": 1, \"target\": 6}, {\"weight\": 13057, \"source\": 1, \"target\": 4}, {\"weight\": 4218, \"source\": 2, \"target\": 3}, {\"weight\": 13040, \"source\": 2, \"target\": 8}, {\"weight\": 6305, \"source\": 2, \"target\": 7}, {\"weight\": 15660, \"source\": 2, \"target\": 5}, {\"weight\": 2098, \"source\": 2, \"target\": 6}, {\"weight\": 15466, \"source\": 2, \"target\": 4}, {\"weight\": 13501, \"source\": 3, \"target\": 8}, {\"weight\": 9216, \"source\": 3, \"target\": 7}, {\"weight\": 16121, \"source\": 3, \"target\": 5}, {\"weight\": 4662, \"source\": 3, \"target\": 6}, {\"weight\": 13740, \"source\": 3, \"target\": 4}, {\"weight\": 3236, \"source\": 4, \"target\": 8}, {\"weight\": 15181, \"source\": 4, \"target\": 7}, {\"weight\": 5722, \"source\": 4, \"target\": 5}, {\"weight\": 14370, \"source\": 4, \"target\": 6}, {\"weight\": 3447, \"source\": 5, \"target\": 8}, {\"weight\": 13482, \"source\": 5, \"target\": 7}, {\"weight\": 14564, \"source\": 5, \"target\": 6}, {\"weight\": 11944, \"source\": 6, \"target\": 8}, {\"weight\": 6093, \"source\": 6, \"target\": 7}, {\"weight\": 12985, \"source\": 7, \"target\": 8}]}",
"id": 2849,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HEK, SZX, UTP, BDQ, YFH, KLL, VCL, POM, YZZ\n- Travel distances (in kilometers) between each pair of airports:\nHEK to SZX: 3312\nHEK to BDQ: 6123\nHEK to YZZ: 10009\nHEK to POM: 7227\nHEK to KLL: 12639\nHEK to UTP: 5631\nHEK to VCL: 4564\nHEK to YFH: 12254\nSZX to BDQ: 4522\nSZX to YZZ: 10648\nSZX to POM: 5499\nSZX to KLL: 13255\nSZX to UTP: 2527\nSZX to VCL: 1582\nSZX to YFH: 13057\nUTP to BDQ: 4218\nUTP to YZZ: 13040\nUTP to POM: 6305\nUTP to KLL: 15660\nUTP to VCL: 2098\nUTP to YFH: 15466\nBDQ to YZZ: 13501\nBDQ to POM: 9216\nBDQ to KLL: 16121\nBDQ to VCL: 4662\nBDQ to YFH: 13740\nYFH to YZZ: 3236\nYFH to POM: 15181\nYFH to KLL: 5722\nYFH to VCL: 14370\nKLL to YZZ: 3447\nKLL to POM: 13482\nKLL to VCL: 14564\nVCL to YZZ: 11944\nVCL to POM: 6093\nPOM to YZZ: 12985\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AUQ, KPO, BVG, OMA, DOY, BVH, TSN, VDZ\n- Travel distances (in kilometers) between each pair of airports:\nJAX to TSN: 12631\nJAX to VDZ: 6133\nJAX to OMA: 1755\nJAX to BVH: 6860\nJAX to DOY: 12287\nJAX to KPO: 12734\nJAX to AUQ: 11503\nJAX to BVG: 8310\nAUQ to TSN: 12939\nAUQ to VDZ: 10525\nAUQ to OMA: 10188\nAUQ to BVH: 13668\nAUQ to DOY: 12893\nAUQ to KPO: 12455\nAUQ to BVG: 17967\nKPO to TSN: 1411\nKPO to VDZ: 11707\nKPO to OMA: 11376\nKPO to BVH: 19578\nKPO to DOY: 1449\nKPO to BVG: 9234\nBVG to TSN: 8659\nBVG to VDZ: 11151\nBVG to OMA: 8351\nBVG to BVH: 12933\nBVG to DOY: 8350\nOMA to TSN: 10990\nOMA to VDZ: 4696\nOMA to BVH: 8577\nOMA to DOY: 11207\nDOY to TSN: 676\nDOY to VDZ: 11538\nDOY to BVH: 18694\nBVH to TSN: 18859\nBVH to VDZ: 12980\nTSN to VDZ: 11321\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59661,
"style": "rule"
}
|
{
"exact_answer": 59661,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAX\", \"id\": 0}, {\"name\": \"AUQ\", \"id\": 1}, {\"name\": \"KPO\", \"id\": 2}, {\"name\": \"BVG\", \"id\": 3}, {\"name\": \"OMA\", \"id\": 4}, {\"name\": \"DOY\", \"id\": 5}, {\"name\": \"BVH\", \"id\": 6}, {\"name\": \"TSN\", \"id\": 7}, {\"name\": \"VDZ\", \"id\": 8}], \"links\": [{\"weight\": 12631, \"source\": 0, \"target\": 7}, {\"weight\": 6133, \"source\": 0, \"target\": 8}, {\"weight\": 1755, \"source\": 0, \"target\": 4}, {\"weight\": 6860, \"source\": 0, \"target\": 6}, {\"weight\": 12287, \"source\": 0, \"target\": 5}, {\"weight\": 12734, \"source\": 0, \"target\": 2}, {\"weight\": 11503, \"source\": 0, \"target\": 1}, {\"weight\": 8310, \"source\": 0, \"target\": 3}, {\"weight\": 12939, \"source\": 1, \"target\": 7}, {\"weight\": 10525, \"source\": 1, \"target\": 8}, {\"weight\": 10188, \"source\": 1, \"target\": 4}, {\"weight\": 13668, \"source\": 1, \"target\": 6}, {\"weight\": 12893, \"source\": 1, \"target\": 5}, {\"weight\": 12455, \"source\": 1, \"target\": 2}, {\"weight\": 17967, \"source\": 1, \"target\": 3}, {\"weight\": 1411, \"source\": 2, \"target\": 7}, {\"weight\": 11707, \"source\": 2, \"target\": 8}, {\"weight\": 11376, \"source\": 2, \"target\": 4}, {\"weight\": 19578, \"source\": 2, \"target\": 6}, {\"weight\": 1449, \"source\": 2, \"target\": 5}, {\"weight\": 9234, \"source\": 2, \"target\": 3}, {\"weight\": 8659, \"source\": 3, \"target\": 7}, {\"weight\": 11151, \"source\": 3, \"target\": 8}, {\"weight\": 8351, \"source\": 3, \"target\": 4}, {\"weight\": 12933, \"source\": 3, \"target\": 6}, {\"weight\": 8350, \"source\": 3, \"target\": 5}, {\"weight\": 10990, \"source\": 4, \"target\": 7}, {\"weight\": 4696, \"source\": 4, \"target\": 8}, {\"weight\": 8577, \"source\": 4, \"target\": 6}, {\"weight\": 11207, \"source\": 4, \"target\": 5}, {\"weight\": 676, \"source\": 5, \"target\": 7}, {\"weight\": 11538, \"source\": 5, \"target\": 8}, {\"weight\": 18694, \"source\": 5, \"target\": 6}, {\"weight\": 18859, \"source\": 6, \"target\": 7}, {\"weight\": 12980, \"source\": 6, \"target\": 8}, {\"weight\": 11321, \"source\": 7, \"target\": 8}]}",
"id": 2850,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AUQ, KPO, BVG, OMA, DOY, BVH, TSN, VDZ\n- Travel distances (in kilometers) between each pair of airports:\nJAX to TSN: 12631\nJAX to VDZ: 6133\nJAX to OMA: 1755\nJAX to BVH: 6860\nJAX to DOY: 12287\nJAX to KPO: 12734\nJAX to AUQ: 11503\nJAX to BVG: 8310\nAUQ to TSN: 12939\nAUQ to VDZ: 10525\nAUQ to OMA: 10188\nAUQ to BVH: 13668\nAUQ to DOY: 12893\nAUQ to KPO: 12455\nAUQ to BVG: 17967\nKPO to TSN: 1411\nKPO to VDZ: 11707\nKPO to OMA: 11376\nKPO to BVH: 19578\nKPO to DOY: 1449\nKPO to BVG: 9234\nBVG to TSN: 8659\nBVG to VDZ: 11151\nBVG to OMA: 8351\nBVG to BVH: 12933\nBVG to DOY: 8350\nOMA to TSN: 10990\nOMA to VDZ: 4696\nOMA to BVH: 8577\nOMA to DOY: 11207\nDOY to TSN: 676\nDOY to VDZ: 11538\nDOY to BVH: 18694\nBVH to TSN: 18859\nBVH to VDZ: 12980\nTSN to VDZ: 11321\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNZ, KZR, LGW, ATK, STD, CYB, YXP, ITB, INC\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to LGW: 2837\nDNZ to INC: 6738\nDNZ to YXP: 9358\nDNZ to ATK: 13672\nDNZ to ITB: 11016\nDNZ to CYB: 10639\nDNZ to STD: 10721\nDNZ to KZR: 659\nKZR to LGW: 2716\nKZR to INC: 6669\nKZR to YXP: 9237\nKZR to ATK: 13551\nKZR to ITB: 10895\nKZR to CYB: 10518\nKZR to STD: 10600\nLGW to INC: 7895\nLGW to YXP: 7147\nLGW to ATK: 11108\nLGW to ITB: 9241\nLGW to CYB: 7901\nLGW to STD: 8236\nATK to INC: 12968\nATK to YXP: 7885\nATK to ITB: 12421\nATK to CYB: 8378\nATK to STD: 10521\nSTD to INC: 15958\nSTD to YXP: 6947\nSTD to ITB: 3400\nSTD to CYB: 2643\nCYB to INC: 14097\nCYB to YXP: 5284\nCYB to ITB: 4769\nYXP to INC: 13854\nYXP to ITB: 9012\nITB to INC: 16718\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51534,
"style": "rule"
}
|
{
"exact_answer": 51534,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DNZ\", \"id\": 0}, {\"name\": \"KZR\", \"id\": 1}, {\"name\": \"LGW\", \"id\": 2}, {\"name\": \"ATK\", \"id\": 3}, {\"name\": \"STD\", \"id\": 4}, {\"name\": \"CYB\", \"id\": 5}, {\"name\": \"YXP\", \"id\": 6}, {\"name\": \"ITB\", \"id\": 7}, {\"name\": \"INC\", \"id\": 8}], \"links\": [{\"weight\": 2837, \"source\": 0, \"target\": 2}, {\"weight\": 6738, \"source\": 0, \"target\": 8}, {\"weight\": 9358, \"source\": 0, \"target\": 6}, {\"weight\": 13672, \"source\": 0, \"target\": 3}, {\"weight\": 11016, \"source\": 0, \"target\": 7}, {\"weight\": 10639, \"source\": 0, \"target\": 5}, {\"weight\": 10721, \"source\": 0, \"target\": 4}, {\"weight\": 659, \"source\": 0, \"target\": 1}, {\"weight\": 2716, \"source\": 1, \"target\": 2}, {\"weight\": 6669, \"source\": 1, \"target\": 8}, {\"weight\": 9237, \"source\": 1, \"target\": 6}, {\"weight\": 13551, \"source\": 1, \"target\": 3}, {\"weight\": 10895, \"source\": 1, \"target\": 7}, {\"weight\": 10518, \"source\": 1, \"target\": 5}, {\"weight\": 10600, \"source\": 1, \"target\": 4}, {\"weight\": 7895, \"source\": 2, \"target\": 8}, {\"weight\": 7147, \"source\": 2, \"target\": 6}, {\"weight\": 11108, \"source\": 2, \"target\": 3}, {\"weight\": 9241, \"source\": 2, \"target\": 7}, {\"weight\": 7901, \"source\": 2, \"target\": 5}, {\"weight\": 8236, \"source\": 2, \"target\": 4}, {\"weight\": 12968, \"source\": 3, \"target\": 8}, {\"weight\": 7885, \"source\": 3, \"target\": 6}, {\"weight\": 12421, \"source\": 3, \"target\": 7}, {\"weight\": 8378, \"source\": 3, \"target\": 5}, {\"weight\": 10521, \"source\": 3, \"target\": 4}, {\"weight\": 15958, \"source\": 4, \"target\": 8}, {\"weight\": 6947, \"source\": 4, \"target\": 6}, {\"weight\": 3400, \"source\": 4, \"target\": 7}, {\"weight\": 2643, \"source\": 4, \"target\": 5}, {\"weight\": 14097, \"source\": 5, \"target\": 8}, {\"weight\": 5284, \"source\": 5, \"target\": 6}, {\"weight\": 4769, \"source\": 5, \"target\": 7}, {\"weight\": 13854, \"source\": 6, \"target\": 8}, {\"weight\": 9012, \"source\": 6, \"target\": 7}, {\"weight\": 16718, \"source\": 7, \"target\": 8}]}",
"id": 2851,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNZ, KZR, LGW, ATK, STD, CYB, YXP, ITB, INC\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to LGW: 2837\nDNZ to INC: 6738\nDNZ to YXP: 9358\nDNZ to ATK: 13672\nDNZ to ITB: 11016\nDNZ to CYB: 10639\nDNZ to STD: 10721\nDNZ to KZR: 659\nKZR to LGW: 2716\nKZR to INC: 6669\nKZR to YXP: 9237\nKZR to ATK: 13551\nKZR to ITB: 10895\nKZR to CYB: 10518\nKZR to STD: 10600\nLGW to INC: 7895\nLGW to YXP: 7147\nLGW to ATK: 11108\nLGW to ITB: 9241\nLGW to CYB: 7901\nLGW to STD: 8236\nATK to INC: 12968\nATK to YXP: 7885\nATK to ITB: 12421\nATK to CYB: 8378\nATK to STD: 10521\nSTD to INC: 15958\nSTD to YXP: 6947\nSTD to ITB: 3400\nSTD to CYB: 2643\nCYB to INC: 14097\nCYB to YXP: 5284\nCYB to ITB: 4769\nYXP to INC: 13854\nYXP to ITB: 9012\nITB to INC: 16718\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOM, ILR, SJD, FLN, CYF, IPC, DLH, PUB, MBS\n- Travel distances (in kilometers) between each pair of airports:\nSOM to SJD: 5113\nSOM to CYF: 9769\nSOM to MBS: 4403\nSOM to FLN: 5268\nSOM to DLH: 5070\nSOM to IPC: 9020\nSOM to PUB: 5477\nSOM to ILR: 10414\nILR to SJD: 12906\nILR to CYF: 15507\nILR to MBS: 10159\nILR to FLN: 7613\nILR to DLH: 10907\nILR to IPC: 13539\nILR to PUB: 11913\nSJD to CYF: 6027\nSJD to MBS: 3265\nSJD to FLN: 9010\nSJD to DLH: 3240\nSJD to IPC: 11524\nSJD to PUB: 2092\nFLN to CYF: 14106\nFLN to MBS: 8861\nFLN to DLH: 9423\nFLN to IPC: 6108\nFLN to PUB: 9780\nCYF to MBS: 5575\nCYF to DLH: 5064\nCYF to IPC: 13929\nCYF to PUB: 4828\nIPC to MBS: 12412\nIPC to DLH: 12950\nIPC to PUB: 12420\nDLH to MBS: 975\nDLH to PUB: 1498\nPUB to MBS: 1956\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50972,
"style": "rule"
}
|
{
"exact_answer": 50972,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SOM\", \"id\": 0}, {\"name\": \"ILR\", \"id\": 1}, {\"name\": \"SJD\", \"id\": 2}, {\"name\": \"FLN\", \"id\": 3}, {\"name\": \"CYF\", \"id\": 4}, {\"name\": \"IPC\", \"id\": 5}, {\"name\": \"DLH\", \"id\": 6}, {\"name\": \"PUB\", \"id\": 7}, {\"name\": \"MBS\", \"id\": 8}], \"links\": [{\"weight\": 5113, \"source\": 0, \"target\": 2}, {\"weight\": 9769, \"source\": 0, \"target\": 4}, {\"weight\": 4403, \"source\": 0, \"target\": 8}, {\"weight\": 5268, \"source\": 0, \"target\": 3}, {\"weight\": 5070, \"source\": 0, \"target\": 6}, {\"weight\": 9020, \"source\": 0, \"target\": 5}, {\"weight\": 5477, \"source\": 0, \"target\": 7}, {\"weight\": 10414, \"source\": 0, \"target\": 1}, {\"weight\": 12906, \"source\": 1, \"target\": 2}, {\"weight\": 15507, \"source\": 1, \"target\": 4}, {\"weight\": 10159, \"source\": 1, \"target\": 8}, {\"weight\": 7613, \"source\": 1, \"target\": 3}, {\"weight\": 10907, \"source\": 1, \"target\": 6}, {\"weight\": 13539, \"source\": 1, \"target\": 5}, {\"weight\": 11913, \"source\": 1, \"target\": 7}, {\"weight\": 6027, \"source\": 2, \"target\": 4}, {\"weight\": 3265, \"source\": 2, \"target\": 8}, {\"weight\": 9010, \"source\": 2, \"target\": 3}, {\"weight\": 3240, \"source\": 2, \"target\": 6}, {\"weight\": 11524, \"source\": 2, \"target\": 5}, {\"weight\": 2092, \"source\": 2, \"target\": 7}, {\"weight\": 14106, \"source\": 3, \"target\": 4}, {\"weight\": 8861, \"source\": 3, \"target\": 8}, {\"weight\": 9423, \"source\": 3, \"target\": 6}, {\"weight\": 6108, \"source\": 3, \"target\": 5}, {\"weight\": 9780, \"source\": 3, \"target\": 7}, {\"weight\": 5575, \"source\": 4, \"target\": 8}, {\"weight\": 5064, \"source\": 4, \"target\": 6}, {\"weight\": 13929, \"source\": 4, \"target\": 5}, {\"weight\": 4828, \"source\": 4, \"target\": 7}, {\"weight\": 12412, \"source\": 5, \"target\": 8}, {\"weight\": 12950, \"source\": 5, \"target\": 6}, {\"weight\": 12420, \"source\": 5, \"target\": 7}, {\"weight\": 975, \"source\": 6, \"target\": 8}, {\"weight\": 1498, \"source\": 6, \"target\": 7}, {\"weight\": 1956, \"source\": 7, \"target\": 8}]}",
"id": 2852,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOM, ILR, SJD, FLN, CYF, IPC, DLH, PUB, MBS\n- Travel distances (in kilometers) between each pair of airports:\nSOM to SJD: 5113\nSOM to CYF: 9769\nSOM to MBS: 4403\nSOM to FLN: 5268\nSOM to DLH: 5070\nSOM to IPC: 9020\nSOM to PUB: 5477\nSOM to ILR: 10414\nILR to SJD: 12906\nILR to CYF: 15507\nILR to MBS: 10159\nILR to FLN: 7613\nILR to DLH: 10907\nILR to IPC: 13539\nILR to PUB: 11913\nSJD to CYF: 6027\nSJD to MBS: 3265\nSJD to FLN: 9010\nSJD to DLH: 3240\nSJD to IPC: 11524\nSJD to PUB: 2092\nFLN to CYF: 14106\nFLN to MBS: 8861\nFLN to DLH: 9423\nFLN to IPC: 6108\nFLN to PUB: 9780\nCYF to MBS: 5575\nCYF to DLH: 5064\nCYF to IPC: 13929\nCYF to PUB: 4828\nIPC to MBS: 12412\nIPC to DLH: 12950\nIPC to PUB: 12420\nDLH to MBS: 975\nDLH to PUB: 1498\nPUB to MBS: 1956\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAC, TAL, ZTH, CGY, BLZ, BDL, LDB, MGF, BSC\n- Travel distances (in kilometers) between each pair of airports:\nTAC to CGY: 374\nTAC to TAL: 13751\nTAC to BSC: 17933\nTAC to ZTH: 10541\nTAC to BDL: 14329\nTAC to LDB: 19146\nTAC to MGF: 19235\nTAC to BLZ: 11588\nTAL to CGY: 13819\nTAL to BSC: 9510\nTAL to ZTH: 12547\nTAL to BDL: 6349\nTAL to LDB: 13824\nTAL to MGF: 13794\nTAL to BLZ: 18788\nZTH to CGY: 10752\nZTH to BSC: 10708\nZTH to BDL: 7871\nZTH to LDB: 10923\nZTH to MGF: 11013\nZTH to BLZ: 6531\nCGY to BSC: 18001\nCGY to BDL: 14397\nCGY to LDB: 19212\nCGY to MGF: 19301\nCGY to BLZ: 11803\nBLZ to BSC: 13561\nBLZ to BDL: 13433\nBLZ to LDB: 9270\nBLZ to MGF: 9359\nBDL to BSC: 4740\nBDL to LDB: 8380\nBDL to MGF: 8384\nLDB to MGF: 90\nLDB to BSC: 5243\nMGF to BSC: 5332\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57046,
"style": "rule"
}
|
{
"exact_answer": 57046,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TAC\", \"id\": 0}, {\"name\": \"TAL\", \"id\": 1}, {\"name\": \"ZTH\", \"id\": 2}, {\"name\": \"CGY\", \"id\": 3}, {\"name\": \"BLZ\", \"id\": 4}, {\"name\": \"BDL\", \"id\": 5}, {\"name\": \"LDB\", \"id\": 6}, {\"name\": \"MGF\", \"id\": 7}, {\"name\": \"BSC\", \"id\": 8}], \"links\": [{\"weight\": 374, \"source\": 0, \"target\": 3}, {\"weight\": 13751, \"source\": 0, \"target\": 1}, {\"weight\": 17933, \"source\": 0, \"target\": 8}, {\"weight\": 10541, \"source\": 0, \"target\": 2}, {\"weight\": 14329, \"source\": 0, \"target\": 5}, {\"weight\": 19146, \"source\": 0, \"target\": 6}, {\"weight\": 19235, \"source\": 0, \"target\": 7}, {\"weight\": 11588, \"source\": 0, \"target\": 4}, {\"weight\": 13819, \"source\": 1, \"target\": 3}, {\"weight\": 9510, \"source\": 1, \"target\": 8}, {\"weight\": 12547, \"source\": 1, \"target\": 2}, {\"weight\": 6349, \"source\": 1, \"target\": 5}, {\"weight\": 13824, \"source\": 1, \"target\": 6}, {\"weight\": 13794, \"source\": 1, \"target\": 7}, {\"weight\": 18788, \"source\": 1, \"target\": 4}, {\"weight\": 10752, \"source\": 2, \"target\": 3}, {\"weight\": 10708, \"source\": 2, \"target\": 8}, {\"weight\": 7871, \"source\": 2, \"target\": 5}, {\"weight\": 10923, \"source\": 2, \"target\": 6}, {\"weight\": 11013, \"source\": 2, \"target\": 7}, {\"weight\": 6531, \"source\": 2, \"target\": 4}, {\"weight\": 18001, \"source\": 3, \"target\": 8}, {\"weight\": 14397, \"source\": 3, \"target\": 5}, {\"weight\": 19212, \"source\": 3, \"target\": 6}, {\"weight\": 19301, \"source\": 3, \"target\": 7}, {\"weight\": 11803, \"source\": 3, \"target\": 4}, {\"weight\": 13561, \"source\": 4, \"target\": 8}, {\"weight\": 13433, \"source\": 4, \"target\": 5}, {\"weight\": 9270, \"source\": 4, \"target\": 6}, {\"weight\": 9359, \"source\": 4, \"target\": 7}, {\"weight\": 4740, \"source\": 5, \"target\": 8}, {\"weight\": 8380, \"source\": 5, \"target\": 6}, {\"weight\": 8384, \"source\": 5, \"target\": 7}, {\"weight\": 90, \"source\": 6, \"target\": 7}, {\"weight\": 5243, \"source\": 6, \"target\": 8}, {\"weight\": 5332, \"source\": 7, \"target\": 8}]}",
"id": 2853,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAC, TAL, ZTH, CGY, BLZ, BDL, LDB, MGF, BSC\n- Travel distances (in kilometers) between each pair of airports:\nTAC to CGY: 374\nTAC to TAL: 13751\nTAC to BSC: 17933\nTAC to ZTH: 10541\nTAC to BDL: 14329\nTAC to LDB: 19146\nTAC to MGF: 19235\nTAC to BLZ: 11588\nTAL to CGY: 13819\nTAL to BSC: 9510\nTAL to ZTH: 12547\nTAL to BDL: 6349\nTAL to LDB: 13824\nTAL to MGF: 13794\nTAL to BLZ: 18788\nZTH to CGY: 10752\nZTH to BSC: 10708\nZTH to BDL: 7871\nZTH to LDB: 10923\nZTH to MGF: 11013\nZTH to BLZ: 6531\nCGY to BSC: 18001\nCGY to BDL: 14397\nCGY to LDB: 19212\nCGY to MGF: 19301\nCGY to BLZ: 11803\nBLZ to BSC: 13561\nBLZ to BDL: 13433\nBLZ to LDB: 9270\nBLZ to MGF: 9359\nBDL to BSC: 4740\nBDL to LDB: 8380\nBDL to MGF: 8384\nLDB to MGF: 90\nLDB to BSC: 5243\nMGF to BSC: 5332\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTW, DIE, RLK, ENY, PXU, NRK, PUG, PZH, BBN\n- Travel distances (in kilometers) between each pair of airports:\nKTW to NRK: 1695\nKTW to RLK: 7056\nKTW to ENY: 7465\nKTW to DIE: 8095\nKTW to BBN: 10567\nKTW to PZH: 5081\nKTW to PUG: 15295\nKTW to PXU: 8923\nDIE to NRK: 9424\nDIE to RLK: 10259\nDIE to ENY: 10101\nDIE to BBN: 8385\nDIE to PZH: 6772\nDIE to PUG: 9666\nDIE to PXU: 8267\nRLK to NRK: 7078\nRLK to ENY: 976\nRLK to BBN: 4456\nRLK to PZH: 4174\nRLK to PUG: 9314\nRLK to PXU: 3080\nENY to NRK: 7188\nENY to BBN: 3988\nENY to PZH: 4583\nENY to PUG: 8846\nENY to PXU: 2696\nPXU to NRK: 8966\nPXU to BBN: 2810\nPXU to PZH: 5133\nPXU to PUG: 7155\nNRK to BBN: 10638\nNRK to PZH: 5456\nNRK to PUG: 15429\nPUG to BBN: 6101\nPUG to PZH: 11020\nPZH to BBN: 6304\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41669,
"style": "rule"
}
|
{
"exact_answer": 41669,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KTW\", \"id\": 0}, {\"name\": \"DIE\", \"id\": 1}, {\"name\": \"RLK\", \"id\": 2}, {\"name\": \"ENY\", \"id\": 3}, {\"name\": \"PXU\", \"id\": 4}, {\"name\": \"NRK\", \"id\": 5}, {\"name\": \"PUG\", \"id\": 6}, {\"name\": \"PZH\", \"id\": 7}, {\"name\": \"BBN\", \"id\": 8}], \"links\": [{\"weight\": 1695, \"source\": 0, \"target\": 5}, {\"weight\": 7056, \"source\": 0, \"target\": 2}, {\"weight\": 7465, \"source\": 0, \"target\": 3}, {\"weight\": 8095, \"source\": 0, \"target\": 1}, {\"weight\": 10567, \"source\": 0, \"target\": 8}, {\"weight\": 5081, \"source\": 0, \"target\": 7}, {\"weight\": 15295, \"source\": 0, \"target\": 6}, {\"weight\": 8923, \"source\": 0, \"target\": 4}, {\"weight\": 9424, \"source\": 1, \"target\": 5}, {\"weight\": 10259, \"source\": 1, \"target\": 2}, {\"weight\": 10101, \"source\": 1, \"target\": 3}, {\"weight\": 8385, \"source\": 1, \"target\": 8}, {\"weight\": 6772, \"source\": 1, \"target\": 7}, {\"weight\": 9666, \"source\": 1, \"target\": 6}, {\"weight\": 8267, \"source\": 1, \"target\": 4}, {\"weight\": 7078, \"source\": 2, \"target\": 5}, {\"weight\": 976, \"source\": 2, \"target\": 3}, {\"weight\": 4456, \"source\": 2, \"target\": 8}, {\"weight\": 4174, \"source\": 2, \"target\": 7}, {\"weight\": 9314, \"source\": 2, \"target\": 6}, {\"weight\": 3080, \"source\": 2, \"target\": 4}, {\"weight\": 7188, \"source\": 3, \"target\": 5}, {\"weight\": 3988, \"source\": 3, \"target\": 8}, {\"weight\": 4583, \"source\": 3, \"target\": 7}, {\"weight\": 8846, \"source\": 3, \"target\": 6}, {\"weight\": 2696, \"source\": 3, \"target\": 4}, {\"weight\": 8966, \"source\": 4, \"target\": 5}, {\"weight\": 2810, \"source\": 4, \"target\": 8}, {\"weight\": 5133, \"source\": 4, \"target\": 7}, {\"weight\": 7155, \"source\": 4, \"target\": 6}, {\"weight\": 10638, \"source\": 5, \"target\": 8}, {\"weight\": 5456, \"source\": 5, \"target\": 7}, {\"weight\": 15429, \"source\": 5, \"target\": 6}, {\"weight\": 6101, \"source\": 6, \"target\": 8}, {\"weight\": 11020, \"source\": 6, \"target\": 7}, {\"weight\": 6304, \"source\": 7, \"target\": 8}]}",
"id": 2854,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTW, DIE, RLK, ENY, PXU, NRK, PUG, PZH, BBN\n- Travel distances (in kilometers) between each pair of airports:\nKTW to NRK: 1695\nKTW to RLK: 7056\nKTW to ENY: 7465\nKTW to DIE: 8095\nKTW to BBN: 10567\nKTW to PZH: 5081\nKTW to PUG: 15295\nKTW to PXU: 8923\nDIE to NRK: 9424\nDIE to RLK: 10259\nDIE to ENY: 10101\nDIE to BBN: 8385\nDIE to PZH: 6772\nDIE to PUG: 9666\nDIE to PXU: 8267\nRLK to NRK: 7078\nRLK to ENY: 976\nRLK to BBN: 4456\nRLK to PZH: 4174\nRLK to PUG: 9314\nRLK to PXU: 3080\nENY to NRK: 7188\nENY to BBN: 3988\nENY to PZH: 4583\nENY to PUG: 8846\nENY to PXU: 2696\nPXU to NRK: 8966\nPXU to BBN: 2810\nPXU to PZH: 5133\nPXU to PUG: 7155\nNRK to BBN: 10638\nNRK to PZH: 5456\nNRK to PUG: 15429\nPUG to BBN: 6101\nPUG to PZH: 11020\nPZH to BBN: 6304\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASJ, BXR, MJM, BJF, MGM, FUO, CZU, DSK, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nASJ to CZU: 16074\nASJ to MGM: 12590\nASJ to MJM: 14120\nASJ to BXR: 9447\nASJ to AOQ: 13750\nASJ to FUO: 4980\nASJ to DSK: 7044\nASJ to BJF: 10645\nBXR to CZU: 14314\nBXR to MGM: 12544\nBXR to MJM: 7575\nBXR to AOQ: 9181\nBXR to FUO: 8567\nBXR to DSK: 3088\nBXR to BJF: 6320\nMJM to CZU: 12743\nMJM to MGM: 12367\nMJM to AOQ: 11642\nMJM to FUO: 13516\nMJM to DSK: 7530\nMJM to BJF: 9732\nBJF to CZU: 11508\nBJF to MGM: 8427\nBJF to AOQ: 5255\nBJF to FUO: 10330\nBJF to DSK: 6363\nMGM to CZU: 4154\nMGM to AOQ: 8004\nMGM to FUO: 14174\nMGM to DSK: 12803\nFUO to CZU: 17854\nFUO to AOQ: 13499\nFUO to DSK: 6385\nCZU to AOQ: 11085\nCZU to DSK: 15242\nDSK to AOQ: 9581\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62829,
"style": "rule"
}
|
{
"exact_answer": 62829,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ASJ\", \"id\": 0}, {\"name\": \"BXR\", \"id\": 1}, {\"name\": \"MJM\", \"id\": 2}, {\"name\": \"BJF\", \"id\": 3}, {\"name\": \"MGM\", \"id\": 4}, {\"name\": \"FUO\", \"id\": 5}, {\"name\": \"CZU\", \"id\": 6}, {\"name\": \"DSK\", \"id\": 7}, {\"name\": \"AOQ\", \"id\": 8}], \"links\": [{\"weight\": 16074, \"source\": 0, \"target\": 6}, {\"weight\": 12590, \"source\": 0, \"target\": 4}, {\"weight\": 14120, \"source\": 0, \"target\": 2}, {\"weight\": 9447, \"source\": 0, \"target\": 1}, {\"weight\": 13750, \"source\": 0, \"target\": 8}, {\"weight\": 4980, \"source\": 0, \"target\": 5}, {\"weight\": 7044, \"source\": 0, \"target\": 7}, {\"weight\": 10645, \"source\": 0, \"target\": 3}, {\"weight\": 14314, \"source\": 1, \"target\": 6}, {\"weight\": 12544, \"source\": 1, \"target\": 4}, {\"weight\": 7575, \"source\": 1, \"target\": 2}, {\"weight\": 9181, \"source\": 1, \"target\": 8}, {\"weight\": 8567, \"source\": 1, \"target\": 5}, {\"weight\": 3088, \"source\": 1, \"target\": 7}, {\"weight\": 6320, \"source\": 1, \"target\": 3}, {\"weight\": 12743, \"source\": 2, \"target\": 6}, {\"weight\": 12367, \"source\": 2, \"target\": 4}, {\"weight\": 11642, \"source\": 2, \"target\": 8}, {\"weight\": 13516, \"source\": 2, \"target\": 5}, {\"weight\": 7530, \"source\": 2, \"target\": 7}, {\"weight\": 9732, \"source\": 2, \"target\": 3}, {\"weight\": 11508, \"source\": 3, \"target\": 6}, {\"weight\": 8427, \"source\": 3, \"target\": 4}, {\"weight\": 5255, \"source\": 3, \"target\": 8}, {\"weight\": 10330, \"source\": 3, \"target\": 5}, {\"weight\": 6363, \"source\": 3, \"target\": 7}, {\"weight\": 4154, \"source\": 4, \"target\": 6}, {\"weight\": 8004, \"source\": 4, \"target\": 8}, {\"weight\": 14174, \"source\": 4, \"target\": 5}, {\"weight\": 12803, \"source\": 4, \"target\": 7}, {\"weight\": 17854, \"source\": 5, \"target\": 6}, {\"weight\": 13499, \"source\": 5, \"target\": 8}, {\"weight\": 6385, \"source\": 5, \"target\": 7}, {\"weight\": 11085, \"source\": 6, \"target\": 8}, {\"weight\": 15242, \"source\": 6, \"target\": 7}, {\"weight\": 9581, \"source\": 7, \"target\": 8}]}",
"id": 2855,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASJ, BXR, MJM, BJF, MGM, FUO, CZU, DSK, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nASJ to CZU: 16074\nASJ to MGM: 12590\nASJ to MJM: 14120\nASJ to BXR: 9447\nASJ to AOQ: 13750\nASJ to FUO: 4980\nASJ to DSK: 7044\nASJ to BJF: 10645\nBXR to CZU: 14314\nBXR to MGM: 12544\nBXR to MJM: 7575\nBXR to AOQ: 9181\nBXR to FUO: 8567\nBXR to DSK: 3088\nBXR to BJF: 6320\nMJM to CZU: 12743\nMJM to MGM: 12367\nMJM to AOQ: 11642\nMJM to FUO: 13516\nMJM to DSK: 7530\nMJM to BJF: 9732\nBJF to CZU: 11508\nBJF to MGM: 8427\nBJF to AOQ: 5255\nBJF to FUO: 10330\nBJF to DSK: 6363\nMGM to CZU: 4154\nMGM to AOQ: 8004\nMGM to FUO: 14174\nMGM to DSK: 12803\nFUO to CZU: 17854\nFUO to AOQ: 13499\nFUO to DSK: 6385\nCZU to AOQ: 11085\nCZU to DSK: 15242\nDSK to AOQ: 9581\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TVU, TCD, ZAD, OTD, CKY, UET, REG, SPR, KCH\n- Travel distances (in kilometers) between each pair of airports:\nTVU to CKY: 19984\nTVU to ZAD: 17082\nTVU to OTD: 14174\nTVU to SPR: 12756\nTVU to TCD: 16041\nTVU to KCH: 8669\nTVU to REG: 17910\nTVU to UET: 13417\nTCD to CKY: 9801\nTCD to ZAD: 10849\nTCD to OTD: 3091\nTCD to SPR: 3454\nTCD to KCH: 20428\nTCD to REG: 11106\nTCD to UET: 15645\nZAD to CKY: 5108\nZAD to OTD: 10661\nZAD to SPR: 9842\nZAD to KCH: 10689\nZAD to REG: 1325\nZAD to UET: 5005\nOTD to CKY: 9963\nOTD to SPR: 1611\nOTD to KCH: 18597\nOTD to REG: 10927\nOTD to UET: 15460\nCKY to SPR: 9768\nCKY to KCH: 14024\nCKY to REG: 5036\nCKY to UET: 8953\nUET to SPR: 14554\nUET to KCH: 5986\nUET to REG: 5551\nREG to SPR: 10125\nREG to KCH: 11235\nSPR to KCH: 17179\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53280,
"style": "rule"
}
|
{
"exact_answer": 53280,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TVU\", \"id\": 0}, {\"name\": \"TCD\", \"id\": 1}, {\"name\": \"ZAD\", \"id\": 2}, {\"name\": \"OTD\", \"id\": 3}, {\"name\": \"CKY\", \"id\": 4}, {\"name\": \"UET\", \"id\": 5}, {\"name\": \"REG\", \"id\": 6}, {\"name\": \"SPR\", \"id\": 7}, {\"name\": \"KCH\", \"id\": 8}], \"links\": [{\"weight\": 19984, \"source\": 0, \"target\": 4}, {\"weight\": 17082, \"source\": 0, \"target\": 2}, {\"weight\": 14174, \"source\": 0, \"target\": 3}, {\"weight\": 12756, \"source\": 0, \"target\": 7}, {\"weight\": 16041, \"source\": 0, \"target\": 1}, {\"weight\": 8669, \"source\": 0, \"target\": 8}, {\"weight\": 17910, \"source\": 0, \"target\": 6}, {\"weight\": 13417, \"source\": 0, \"target\": 5}, {\"weight\": 9801, \"source\": 1, \"target\": 4}, {\"weight\": 10849, \"source\": 1, \"target\": 2}, {\"weight\": 3091, \"source\": 1, \"target\": 3}, {\"weight\": 3454, \"source\": 1, \"target\": 7}, {\"weight\": 20428, \"source\": 1, \"target\": 8}, {\"weight\": 11106, \"source\": 1, \"target\": 6}, {\"weight\": 15645, \"source\": 1, \"target\": 5}, {\"weight\": 5108, \"source\": 2, \"target\": 4}, {\"weight\": 10661, \"source\": 2, \"target\": 3}, {\"weight\": 9842, \"source\": 2, \"target\": 7}, {\"weight\": 10689, \"source\": 2, \"target\": 8}, {\"weight\": 1325, \"source\": 2, \"target\": 6}, {\"weight\": 5005, \"source\": 2, \"target\": 5}, {\"weight\": 9963, \"source\": 3, \"target\": 4}, {\"weight\": 1611, \"source\": 3, \"target\": 7}, {\"weight\": 18597, \"source\": 3, \"target\": 8}, {\"weight\": 10927, \"source\": 3, \"target\": 6}, {\"weight\": 15460, \"source\": 3, \"target\": 5}, {\"weight\": 9768, \"source\": 4, \"target\": 7}, {\"weight\": 14024, \"source\": 4, \"target\": 8}, {\"weight\": 5036, \"source\": 4, \"target\": 6}, {\"weight\": 8953, \"source\": 4, \"target\": 5}, {\"weight\": 14554, \"source\": 5, \"target\": 7}, {\"weight\": 5986, \"source\": 5, \"target\": 8}, {\"weight\": 5551, \"source\": 5, \"target\": 6}, {\"weight\": 10125, \"source\": 6, \"target\": 7}, {\"weight\": 11235, \"source\": 6, \"target\": 8}, {\"weight\": 17179, \"source\": 7, \"target\": 8}]}",
"id": 2856,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TVU, TCD, ZAD, OTD, CKY, UET, REG, SPR, KCH\n- Travel distances (in kilometers) between each pair of airports:\nTVU to CKY: 19984\nTVU to ZAD: 17082\nTVU to OTD: 14174\nTVU to SPR: 12756\nTVU to TCD: 16041\nTVU to KCH: 8669\nTVU to REG: 17910\nTVU to UET: 13417\nTCD to CKY: 9801\nTCD to ZAD: 10849\nTCD to OTD: 3091\nTCD to SPR: 3454\nTCD to KCH: 20428\nTCD to REG: 11106\nTCD to UET: 15645\nZAD to CKY: 5108\nZAD to OTD: 10661\nZAD to SPR: 9842\nZAD to KCH: 10689\nZAD to REG: 1325\nZAD to UET: 5005\nOTD to CKY: 9963\nOTD to SPR: 1611\nOTD to KCH: 18597\nOTD to REG: 10927\nOTD to UET: 15460\nCKY to SPR: 9768\nCKY to KCH: 14024\nCKY to REG: 5036\nCKY to UET: 8953\nUET to SPR: 14554\nUET to KCH: 5986\nUET to REG: 5551\nREG to SPR: 10125\nREG to KCH: 11235\nSPR to KCH: 17179\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPX, FAT, ZYI, JPA, HTA, RVT, CYF, COQ, INU\n- Travel distances (in kilometers) between each pair of airports:\nCPX to HTA: 14079\nCPX to CYF: 8782\nCPX to ZYI: 15286\nCPX to FAT: 5676\nCPX to JPA: 4702\nCPX to COQ: 14659\nCPX to RVT: 20934\nCPX to INU: 14228\nFAT to HTA: 11129\nFAT to CYF: 4274\nFAT to ZYI: 11391\nFAT to JPA: 10129\nFAT to COQ: 10969\nFAT to RVT: 15713\nFAT to INU: 8751\nZYI to HTA: 3003\nZYI to CYF: 13438\nZYI to JPA: 16283\nZYI to COQ: 2865\nZYI to RVT: 7389\nZYI to INU: 8457\nJPA to HTA: 14765\nJPA to CYF: 13291\nJPA to COQ: 15262\nJPA to RVT: 18386\nJPA to INU: 18666\nHTA to CYF: 13039\nHTA to COQ: 654\nHTA to RVT: 9928\nHTA to INU: 9354\nRVT to CYF: 16868\nRVT to COQ: 9790\nRVT to INU: 7379\nCYF to COQ: 12879\nCYF to INU: 9906\nCOQ to INU: 9194\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57610,
"style": "rule"
}
|
{
"exact_answer": 57610,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CPX\", \"id\": 0}, {\"name\": \"FAT\", \"id\": 1}, {\"name\": \"ZYI\", \"id\": 2}, {\"name\": \"JPA\", \"id\": 3}, {\"name\": \"HTA\", \"id\": 4}, {\"name\": \"RVT\", \"id\": 5}, {\"name\": \"CYF\", \"id\": 6}, {\"name\": \"COQ\", \"id\": 7}, {\"name\": \"INU\", \"id\": 8}], \"links\": [{\"weight\": 14079, \"source\": 0, \"target\": 4}, {\"weight\": 8782, \"source\": 0, \"target\": 6}, {\"weight\": 15286, \"source\": 0, \"target\": 2}, {\"weight\": 5676, \"source\": 0, \"target\": 1}, {\"weight\": 4702, \"source\": 0, \"target\": 3}, {\"weight\": 14659, \"source\": 0, \"target\": 7}, {\"weight\": 20934, \"source\": 0, \"target\": 5}, {\"weight\": 14228, \"source\": 0, \"target\": 8}, {\"weight\": 11129, \"source\": 1, \"target\": 4}, {\"weight\": 4274, \"source\": 1, \"target\": 6}, {\"weight\": 11391, \"source\": 1, \"target\": 2}, {\"weight\": 10129, \"source\": 1, \"target\": 3}, {\"weight\": 10969, \"source\": 1, \"target\": 7}, {\"weight\": 15713, \"source\": 1, \"target\": 5}, {\"weight\": 8751, \"source\": 1, \"target\": 8}, {\"weight\": 3003, \"source\": 2, \"target\": 4}, {\"weight\": 13438, \"source\": 2, \"target\": 6}, {\"weight\": 16283, \"source\": 2, \"target\": 3}, {\"weight\": 2865, \"source\": 2, \"target\": 7}, {\"weight\": 7389, \"source\": 2, \"target\": 5}, {\"weight\": 8457, \"source\": 2, \"target\": 8}, {\"weight\": 14765, \"source\": 3, \"target\": 4}, {\"weight\": 13291, \"source\": 3, \"target\": 6}, {\"weight\": 15262, \"source\": 3, \"target\": 7}, {\"weight\": 18386, \"source\": 3, \"target\": 5}, {\"weight\": 18666, \"source\": 3, \"target\": 8}, {\"weight\": 13039, \"source\": 4, \"target\": 6}, {\"weight\": 654, \"source\": 4, \"target\": 7}, {\"weight\": 9928, \"source\": 4, \"target\": 5}, {\"weight\": 9354, \"source\": 4, \"target\": 8}, {\"weight\": 16868, \"source\": 5, \"target\": 6}, {\"weight\": 9790, \"source\": 5, \"target\": 7}, {\"weight\": 7379, \"source\": 5, \"target\": 8}, {\"weight\": 12879, \"source\": 6, \"target\": 7}, {\"weight\": 9906, \"source\": 6, \"target\": 8}, {\"weight\": 9194, \"source\": 7, \"target\": 8}]}",
"id": 2857,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPX, FAT, ZYI, JPA, HTA, RVT, CYF, COQ, INU\n- Travel distances (in kilometers) between each pair of airports:\nCPX to HTA: 14079\nCPX to CYF: 8782\nCPX to ZYI: 15286\nCPX to FAT: 5676\nCPX to JPA: 4702\nCPX to COQ: 14659\nCPX to RVT: 20934\nCPX to INU: 14228\nFAT to HTA: 11129\nFAT to CYF: 4274\nFAT to ZYI: 11391\nFAT to JPA: 10129\nFAT to COQ: 10969\nFAT to RVT: 15713\nFAT to INU: 8751\nZYI to HTA: 3003\nZYI to CYF: 13438\nZYI to JPA: 16283\nZYI to COQ: 2865\nZYI to RVT: 7389\nZYI to INU: 8457\nJPA to HTA: 14765\nJPA to CYF: 13291\nJPA to COQ: 15262\nJPA to RVT: 18386\nJPA to INU: 18666\nHTA to CYF: 13039\nHTA to COQ: 654\nHTA to RVT: 9928\nHTA to INU: 9354\nRVT to CYF: 16868\nRVT to COQ: 9790\nRVT to INU: 7379\nCYF to COQ: 12879\nCYF to INU: 9906\nCOQ to INU: 9194\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CEG, BNN, ROR, RYG, OSS, GCN, RMT, KDV\n- Travel distances (in kilometers) between each pair of airports:\nPQI to ROR: 14507\nPQI to OSS: 10757\nPQI to RYG: 6571\nPQI to KDV: 13779\nPQI to CEG: 5828\nPQI to RMT: 11992\nPQI to BNN: 6271\nPQI to GCN: 4148\nCEG to ROR: 12590\nCEG to OSS: 5931\nCEG to RYG: 1630\nCEG to KDV: 17369\nCEG to RMT: 16392\nCEG to BNN: 2040\nCEG to GCN: 8542\nBNN to ROR: 11604\nBNN to OSS: 5007\nBNN to RYG: 1886\nBNN to KDV: 16492\nBNN to RMT: 16238\nBNN to GCN: 8388\nROR to OSS: 7377\nROR to RYG: 11304\nROR to KDV: 7538\nROR to RMT: 12491\nROR to GCN: 12376\nRYG to OSS: 4707\nRYG to KDV: 16192\nRYG to RMT: 16680\nRYG to GCN: 8830\nOSS to KDV: 12884\nOSS to RMT: 15924\nOSS to GCN: 12874\nGCN to KDV: 9903\nGCN to RMT: 8116\nRMT to KDV: 6716\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48246,
"style": "rule"
}
|
{
"exact_answer": 48246,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PQI\", \"id\": 0}, {\"name\": \"CEG\", \"id\": 1}, {\"name\": \"BNN\", \"id\": 2}, {\"name\": \"ROR\", \"id\": 3}, {\"name\": \"RYG\", \"id\": 4}, {\"name\": \"OSS\", \"id\": 5}, {\"name\": \"GCN\", \"id\": 6}, {\"name\": \"RMT\", \"id\": 7}, {\"name\": \"KDV\", \"id\": 8}], \"links\": [{\"weight\": 14507, \"source\": 0, \"target\": 3}, {\"weight\": 10757, \"source\": 0, \"target\": 5}, {\"weight\": 6571, \"source\": 0, \"target\": 4}, {\"weight\": 13779, \"source\": 0, \"target\": 8}, {\"weight\": 5828, \"source\": 0, \"target\": 1}, {\"weight\": 11992, \"source\": 0, \"target\": 7}, {\"weight\": 6271, \"source\": 0, \"target\": 2}, {\"weight\": 4148, \"source\": 0, \"target\": 6}, {\"weight\": 12590, \"source\": 1, \"target\": 3}, {\"weight\": 5931, \"source\": 1, \"target\": 5}, {\"weight\": 1630, \"source\": 1, \"target\": 4}, {\"weight\": 17369, \"source\": 1, \"target\": 8}, {\"weight\": 16392, \"source\": 1, \"target\": 7}, {\"weight\": 2040, \"source\": 1, \"target\": 2}, {\"weight\": 8542, \"source\": 1, \"target\": 6}, {\"weight\": 11604, \"source\": 2, \"target\": 3}, {\"weight\": 5007, \"source\": 2, \"target\": 5}, {\"weight\": 1886, \"source\": 2, \"target\": 4}, {\"weight\": 16492, \"source\": 2, \"target\": 8}, {\"weight\": 16238, \"source\": 2, \"target\": 7}, {\"weight\": 8388, \"source\": 2, \"target\": 6}, {\"weight\": 7377, \"source\": 3, \"target\": 5}, {\"weight\": 11304, \"source\": 3, \"target\": 4}, {\"weight\": 7538, \"source\": 3, \"target\": 8}, {\"weight\": 12491, \"source\": 3, \"target\": 7}, {\"weight\": 12376, \"source\": 3, \"target\": 6}, {\"weight\": 4707, \"source\": 4, \"target\": 5}, {\"weight\": 16192, \"source\": 4, \"target\": 8}, {\"weight\": 16680, \"source\": 4, \"target\": 7}, {\"weight\": 8830, \"source\": 4, \"target\": 6}, {\"weight\": 12884, \"source\": 5, \"target\": 8}, {\"weight\": 15924, \"source\": 5, \"target\": 7}, {\"weight\": 12874, \"source\": 5, \"target\": 6}, {\"weight\": 9903, \"source\": 6, \"target\": 8}, {\"weight\": 8116, \"source\": 6, \"target\": 7}, {\"weight\": 6716, \"source\": 7, \"target\": 8}]}",
"id": 2858,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CEG, BNN, ROR, RYG, OSS, GCN, RMT, KDV\n- Travel distances (in kilometers) between each pair of airports:\nPQI to ROR: 14507\nPQI to OSS: 10757\nPQI to RYG: 6571\nPQI to KDV: 13779\nPQI to CEG: 5828\nPQI to RMT: 11992\nPQI to BNN: 6271\nPQI to GCN: 4148\nCEG to ROR: 12590\nCEG to OSS: 5931\nCEG to RYG: 1630\nCEG to KDV: 17369\nCEG to RMT: 16392\nCEG to BNN: 2040\nCEG to GCN: 8542\nBNN to ROR: 11604\nBNN to OSS: 5007\nBNN to RYG: 1886\nBNN to KDV: 16492\nBNN to RMT: 16238\nBNN to GCN: 8388\nROR to OSS: 7377\nROR to RYG: 11304\nROR to KDV: 7538\nROR to RMT: 12491\nROR to GCN: 12376\nRYG to OSS: 4707\nRYG to KDV: 16192\nRYG to RMT: 16680\nRYG to GCN: 8830\nOSS to KDV: 12884\nOSS to RMT: 15924\nOSS to GCN: 12874\nGCN to KDV: 9903\nGCN to RMT: 8116\nRMT to KDV: 6716\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZI, EAM, ACK, DLI, FOC, DHM, KUO, SDP, MIR\n- Travel distances (in kilometers) between each pair of airports:\nKZI to FOC: 9100\nKZI to ACK: 8106\nKZI to DHM: 5726\nKZI to SDP: 13549\nKZI to KUO: 3141\nKZI to MIR: 1716\nKZI to EAM: 3354\nKZI to DLI: 9188\nEAM to FOC: 8079\nEAM to ACK: 10789\nEAM to DHM: 4235\nEAM to SDP: 16239\nEAM to KUO: 5487\nEAM to MIR: 3957\nEAM to DLI: 7531\nACK to FOC: 12890\nACK to DHM: 12095\nACK to SDP: 6885\nACK to KUO: 6798\nACK to MIR: 7011\nACK to DLI: 14754\nDLI to FOC: 2104\nDLI to DHM: 4281\nDLI to SDP: 15048\nDLI to KUO: 9024\nDLI to MIR: 10235\nFOC to DHM: 4660\nFOC to SDP: 13022\nFOC to KUO: 8150\nFOC to MIR: 10027\nDHM to SDP: 16114\nDHM to KUO: 5965\nDHM to MIR: 6770\nKUO to SDP: 11808\nKUO to MIR: 3273\nSDP to MIR: 12881\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45668,
"style": "rule"
}
|
{
"exact_answer": 45668,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KZI\", \"id\": 0}, {\"name\": \"EAM\", \"id\": 1}, {\"name\": \"ACK\", \"id\": 2}, {\"name\": \"DLI\", \"id\": 3}, {\"name\": \"FOC\", \"id\": 4}, {\"name\": \"DHM\", \"id\": 5}, {\"name\": \"KUO\", \"id\": 6}, {\"name\": \"SDP\", \"id\": 7}, {\"name\": \"MIR\", \"id\": 8}], \"links\": [{\"weight\": 9100, \"source\": 0, \"target\": 4}, {\"weight\": 8106, \"source\": 0, \"target\": 2}, {\"weight\": 5726, \"source\": 0, \"target\": 5}, {\"weight\": 13549, \"source\": 0, \"target\": 7}, {\"weight\": 3141, \"source\": 0, \"target\": 6}, {\"weight\": 1716, \"source\": 0, \"target\": 8}, {\"weight\": 3354, \"source\": 0, \"target\": 1}, {\"weight\": 9188, \"source\": 0, \"target\": 3}, {\"weight\": 8079, \"source\": 1, \"target\": 4}, {\"weight\": 10789, \"source\": 1, \"target\": 2}, {\"weight\": 4235, \"source\": 1, \"target\": 5}, {\"weight\": 16239, \"source\": 1, \"target\": 7}, {\"weight\": 5487, \"source\": 1, \"target\": 6}, {\"weight\": 3957, \"source\": 1, \"target\": 8}, {\"weight\": 7531, \"source\": 1, \"target\": 3}, {\"weight\": 12890, \"source\": 2, \"target\": 4}, {\"weight\": 12095, \"source\": 2, \"target\": 5}, {\"weight\": 6885, \"source\": 2, \"target\": 7}, {\"weight\": 6798, \"source\": 2, \"target\": 6}, {\"weight\": 7011, \"source\": 2, \"target\": 8}, {\"weight\": 14754, \"source\": 2, \"target\": 3}, {\"weight\": 2104, \"source\": 3, \"target\": 4}, {\"weight\": 4281, \"source\": 3, \"target\": 5}, {\"weight\": 15048, \"source\": 3, \"target\": 7}, {\"weight\": 9024, \"source\": 3, \"target\": 6}, {\"weight\": 10235, \"source\": 3, \"target\": 8}, {\"weight\": 4660, \"source\": 4, \"target\": 5}, {\"weight\": 13022, \"source\": 4, \"target\": 7}, {\"weight\": 8150, \"source\": 4, \"target\": 6}, {\"weight\": 10027, \"source\": 4, \"target\": 8}, {\"weight\": 16114, \"source\": 5, \"target\": 7}, {\"weight\": 5965, \"source\": 5, \"target\": 6}, {\"weight\": 6770, \"source\": 5, \"target\": 8}, {\"weight\": 11808, \"source\": 6, \"target\": 7}, {\"weight\": 3273, \"source\": 6, \"target\": 8}, {\"weight\": 12881, \"source\": 7, \"target\": 8}]}",
"id": 2859,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZI, EAM, ACK, DLI, FOC, DHM, KUO, SDP, MIR\n- Travel distances (in kilometers) between each pair of airports:\nKZI to FOC: 9100\nKZI to ACK: 8106\nKZI to DHM: 5726\nKZI to SDP: 13549\nKZI to KUO: 3141\nKZI to MIR: 1716\nKZI to EAM: 3354\nKZI to DLI: 9188\nEAM to FOC: 8079\nEAM to ACK: 10789\nEAM to DHM: 4235\nEAM to SDP: 16239\nEAM to KUO: 5487\nEAM to MIR: 3957\nEAM to DLI: 7531\nACK to FOC: 12890\nACK to DHM: 12095\nACK to SDP: 6885\nACK to KUO: 6798\nACK to MIR: 7011\nACK to DLI: 14754\nDLI to FOC: 2104\nDLI to DHM: 4281\nDLI to SDP: 15048\nDLI to KUO: 9024\nDLI to MIR: 10235\nFOC to DHM: 4660\nFOC to SDP: 13022\nFOC to KUO: 8150\nFOC to MIR: 10027\nDHM to SDP: 16114\nDHM to KUO: 5965\nDHM to MIR: 6770\nKUO to SDP: 11808\nKUO to MIR: 3273\nSDP to MIR: 12881\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, HVB, BVV, IRG, YKF, APN, IFN, CLL, POG\n- Travel distances (in kilometers) between each pair of airports:\nEMK to CLL: 5995\nEMK to YKF: 6040\nEMK to IFN: 15352\nEMK to APN: 5637\nEMK to POG: 17151\nEMK to BVV: 12238\nEMK to IRG: 14779\nEMK to HVB: 13092\nHVB to CLL: 13858\nHVB to YKF: 15200\nHVB to IFN: 13095\nHVB to APN: 14936\nHVB to POG: 15509\nHVB to BVV: 9084\nHVB to IRG: 2147\nBVV to CLL: 12274\nBVV to YKF: 12282\nBVV to IFN: 8016\nBVV to APN: 11999\nBVV to POG: 14745\nBVV to IRG: 8075\nIRG to CLL: 15545\nIRG to YKF: 16887\nIRG to IFN: 12279\nIRG to APN: 16623\nIRG to POG: 15780\nYKF to CLL: 2190\nYKF to IFN: 11685\nYKF to APN: 1331\nYKF to POG: 12445\nAPN to CLL: 2167\nAPN to IFN: 11086\nAPN to POG: 11757\nIFN to CLL: 12603\nIFN to POG: 6912\nCLL to POG: 12764\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59515,
"style": "rule"
}
|
{
"exact_answer": 59515,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EMK\", \"id\": 0}, {\"name\": \"HVB\", \"id\": 1}, {\"name\": \"BVV\", \"id\": 2}, {\"name\": \"IRG\", \"id\": 3}, {\"name\": \"YKF\", \"id\": 4}, {\"name\": \"APN\", \"id\": 5}, {\"name\": \"IFN\", \"id\": 6}, {\"name\": \"CLL\", \"id\": 7}, {\"name\": \"POG\", \"id\": 8}], \"links\": [{\"weight\": 5995, \"source\": 0, \"target\": 7}, {\"weight\": 6040, \"source\": 0, \"target\": 4}, {\"weight\": 15352, \"source\": 0, \"target\": 6}, {\"weight\": 5637, \"source\": 0, \"target\": 5}, {\"weight\": 17151, \"source\": 0, \"target\": 8}, {\"weight\": 12238, \"source\": 0, \"target\": 2}, {\"weight\": 14779, \"source\": 0, \"target\": 3}, {\"weight\": 13092, \"source\": 0, \"target\": 1}, {\"weight\": 13858, \"source\": 1, \"target\": 7}, {\"weight\": 15200, \"source\": 1, \"target\": 4}, {\"weight\": 13095, \"source\": 1, \"target\": 6}, {\"weight\": 14936, \"source\": 1, \"target\": 5}, {\"weight\": 15509, \"source\": 1, \"target\": 8}, {\"weight\": 9084, \"source\": 1, \"target\": 2}, {\"weight\": 2147, \"source\": 1, \"target\": 3}, {\"weight\": 12274, \"source\": 2, \"target\": 7}, {\"weight\": 12282, \"source\": 2, \"target\": 4}, {\"weight\": 8016, \"source\": 2, \"target\": 6}, {\"weight\": 11999, \"source\": 2, \"target\": 5}, {\"weight\": 14745, \"source\": 2, \"target\": 8}, {\"weight\": 8075, \"source\": 2, \"target\": 3}, {\"weight\": 15545, \"source\": 3, \"target\": 7}, {\"weight\": 16887, \"source\": 3, \"target\": 4}, {\"weight\": 12279, \"source\": 3, \"target\": 6}, {\"weight\": 16623, \"source\": 3, \"target\": 5}, {\"weight\": 15780, \"source\": 3, \"target\": 8}, {\"weight\": 2190, \"source\": 4, \"target\": 7}, {\"weight\": 11685, \"source\": 4, \"target\": 6}, {\"weight\": 1331, \"source\": 4, \"target\": 5}, {\"weight\": 12445, \"source\": 4, \"target\": 8}, {\"weight\": 2167, \"source\": 5, \"target\": 7}, {\"weight\": 11086, \"source\": 5, \"target\": 6}, {\"weight\": 11757, \"source\": 5, \"target\": 8}, {\"weight\": 12603, \"source\": 6, \"target\": 7}, {\"weight\": 6912, \"source\": 6, \"target\": 8}, {\"weight\": 12764, \"source\": 7, \"target\": 8}]}",
"id": 2860,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, HVB, BVV, IRG, YKF, APN, IFN, CLL, POG\n- Travel distances (in kilometers) between each pair of airports:\nEMK to CLL: 5995\nEMK to YKF: 6040\nEMK to IFN: 15352\nEMK to APN: 5637\nEMK to POG: 17151\nEMK to BVV: 12238\nEMK to IRG: 14779\nEMK to HVB: 13092\nHVB to CLL: 13858\nHVB to YKF: 15200\nHVB to IFN: 13095\nHVB to APN: 14936\nHVB to POG: 15509\nHVB to BVV: 9084\nHVB to IRG: 2147\nBVV to CLL: 12274\nBVV to YKF: 12282\nBVV to IFN: 8016\nBVV to APN: 11999\nBVV to POG: 14745\nBVV to IRG: 8075\nIRG to CLL: 15545\nIRG to YKF: 16887\nIRG to IFN: 12279\nIRG to APN: 16623\nIRG to POG: 15780\nYKF to CLL: 2190\nYKF to IFN: 11685\nYKF to APN: 1331\nYKF to POG: 12445\nAPN to CLL: 2167\nAPN to IFN: 11086\nAPN to POG: 11757\nIFN to CLL: 12603\nIFN to POG: 6912\nCLL to POG: 12764\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ARK, YSY, ASE, TWF, PBM, CHA, YCU, SDF, AMM\n- Travel distances (in kilometers) between each pair of airports:\nARK to YSY: 16918\nARK to PBM: 12680\nARK to AMM: 4689\nARK to CHA: 14295\nARK to SDF: 14235\nARK to YCU: 9732\nARK to TWF: 15955\nARK to ASE: 15566\nYSY to PBM: 9324\nYSY to AMM: 12531\nYSY to CHA: 5340\nYSY to SDF: 4969\nYSY to YCU: 12286\nYSY to TWF: 3936\nYSY to ASE: 4047\nASE to PBM: 6444\nASE to AMM: 11282\nASE to CHA: 2297\nASE to SDF: 1844\nASE to YCU: 11212\nASE to TWF: 1108\nTWF to PBM: 7141\nTWF to AMM: 11814\nTWF to CHA: 2985\nTWF to SDF: 2550\nTWF to YCU: 10783\nPBM to AMM: 10800\nPBM to CHA: 4579\nPBM to SDF: 4890\nPBM to YCU: 15627\nCHA to AMM: 10395\nCHA to SDF: 689\nCHA to YCU: 12098\nYCU to AMM: 6941\nYCU to SDF: 11753\nSDF to AMM: 10185\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48752,
"style": "rule"
}
|
{
"exact_answer": 48752,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ARK\", \"id\": 0}, {\"name\": \"YSY\", \"id\": 1}, {\"name\": \"ASE\", \"id\": 2}, {\"name\": \"TWF\", \"id\": 3}, {\"name\": \"PBM\", \"id\": 4}, {\"name\": \"CHA\", \"id\": 5}, {\"name\": \"YCU\", \"id\": 6}, {\"name\": \"SDF\", \"id\": 7}, {\"name\": \"AMM\", \"id\": 8}], \"links\": [{\"weight\": 16918, \"source\": 0, \"target\": 1}, {\"weight\": 12680, \"source\": 0, \"target\": 4}, {\"weight\": 4689, \"source\": 0, \"target\": 8}, {\"weight\": 14295, \"source\": 0, \"target\": 5}, {\"weight\": 14235, \"source\": 0, \"target\": 7}, {\"weight\": 9732, \"source\": 0, \"target\": 6}, {\"weight\": 15955, \"source\": 0, \"target\": 3}, {\"weight\": 15566, \"source\": 0, \"target\": 2}, {\"weight\": 9324, \"source\": 1, \"target\": 4}, {\"weight\": 12531, \"source\": 1, \"target\": 8}, {\"weight\": 5340, \"source\": 1, \"target\": 5}, {\"weight\": 4969, \"source\": 1, \"target\": 7}, {\"weight\": 12286, \"source\": 1, \"target\": 6}, {\"weight\": 3936, \"source\": 1, \"target\": 3}, {\"weight\": 4047, \"source\": 1, \"target\": 2}, {\"weight\": 6444, \"source\": 2, \"target\": 4}, {\"weight\": 11282, \"source\": 2, \"target\": 8}, {\"weight\": 2297, \"source\": 2, \"target\": 5}, {\"weight\": 1844, \"source\": 2, \"target\": 7}, {\"weight\": 11212, \"source\": 2, \"target\": 6}, {\"weight\": 1108, \"source\": 2, \"target\": 3}, {\"weight\": 7141, \"source\": 3, \"target\": 4}, {\"weight\": 11814, \"source\": 3, \"target\": 8}, {\"weight\": 2985, \"source\": 3, \"target\": 5}, {\"weight\": 2550, \"source\": 3, \"target\": 7}, {\"weight\": 10783, \"source\": 3, \"target\": 6}, {\"weight\": 10800, \"source\": 4, \"target\": 8}, {\"weight\": 4579, \"source\": 4, \"target\": 5}, {\"weight\": 4890, \"source\": 4, \"target\": 7}, {\"weight\": 15627, \"source\": 4, \"target\": 6}, {\"weight\": 10395, \"source\": 5, \"target\": 8}, {\"weight\": 689, \"source\": 5, \"target\": 7}, {\"weight\": 12098, \"source\": 5, \"target\": 6}, {\"weight\": 6941, \"source\": 6, \"target\": 8}, {\"weight\": 11753, \"source\": 6, \"target\": 7}, {\"weight\": 10185, \"source\": 7, \"target\": 8}]}",
"id": 2861,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ARK, YSY, ASE, TWF, PBM, CHA, YCU, SDF, AMM\n- Travel distances (in kilometers) between each pair of airports:\nARK to YSY: 16918\nARK to PBM: 12680\nARK to AMM: 4689\nARK to CHA: 14295\nARK to SDF: 14235\nARK to YCU: 9732\nARK to TWF: 15955\nARK to ASE: 15566\nYSY to PBM: 9324\nYSY to AMM: 12531\nYSY to CHA: 5340\nYSY to SDF: 4969\nYSY to YCU: 12286\nYSY to TWF: 3936\nYSY to ASE: 4047\nASE to PBM: 6444\nASE to AMM: 11282\nASE to CHA: 2297\nASE to SDF: 1844\nASE to YCU: 11212\nASE to TWF: 1108\nTWF to PBM: 7141\nTWF to AMM: 11814\nTWF to CHA: 2985\nTWF to SDF: 2550\nTWF to YCU: 10783\nPBM to AMM: 10800\nPBM to CHA: 4579\nPBM to SDF: 4890\nPBM to YCU: 15627\nCHA to AMM: 10395\nCHA to SDF: 689\nCHA to YCU: 12098\nYCU to AMM: 6941\nYCU to SDF: 11753\nSDF to AMM: 10185\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AES, OAK, MEH, CPO, FLN, GUA, YBP, YSK, VLL\n- Travel distances (in kilometers) between each pair of airports:\nAES to YSK: 7321\nAES to YBP: 8284\nAES to GUA: 9179\nAES to OAK: 8637\nAES to FLN: 11271\nAES to VLL: 2957\nAES to CPO: 13330\nAES to MEH: 1403\nOAK to YSK: 4161\nOAK to YBP: 11427\nOAK to GUA: 4073\nOAK to FLN: 10851\nOAK to VLL: 10466\nOAK to CPO: 9459\nOAK to MEH: 9665\nMEH to YSK: 8349\nMEH to YBP: 8936\nMEH to GUA: 10256\nMEH to FLN: 12600\nMEH to VLL: 4194\nMEH to CPO: 14637\nCPO to YSK: 9838\nCPO to YBP: 20482\nCPO to GUA: 5522\nCPO to FLN: 3036\nCPO to VLL: 11852\nFLN to YSK: 9967\nFLN to YBP: 17845\nFLN to GUA: 6914\nFLN to VLL: 9856\nGUA to YSK: 4999\nGUA to YBP: 15005\nGUA to VLL: 9762\nYBP to YSK: 13422\nYBP to VLL: 10167\nYSK to VLL: 7783\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52297,
"style": "rule"
}
|
{
"exact_answer": 52297,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AES\", \"id\": 0}, {\"name\": \"OAK\", \"id\": 1}, {\"name\": \"MEH\", \"id\": 2}, {\"name\": \"CPO\", \"id\": 3}, {\"name\": \"FLN\", \"id\": 4}, {\"name\": \"GUA\", \"id\": 5}, {\"name\": \"YBP\", \"id\": 6}, {\"name\": \"YSK\", \"id\": 7}, {\"name\": \"VLL\", \"id\": 8}], \"links\": [{\"weight\": 7321, \"source\": 0, \"target\": 7}, {\"weight\": 8284, \"source\": 0, \"target\": 6}, {\"weight\": 9179, \"source\": 0, \"target\": 5}, {\"weight\": 8637, \"source\": 0, \"target\": 1}, {\"weight\": 11271, \"source\": 0, \"target\": 4}, {\"weight\": 2957, \"source\": 0, \"target\": 8}, {\"weight\": 13330, \"source\": 0, \"target\": 3}, {\"weight\": 1403, \"source\": 0, \"target\": 2}, {\"weight\": 4161, \"source\": 1, \"target\": 7}, {\"weight\": 11427, \"source\": 1, \"target\": 6}, {\"weight\": 4073, \"source\": 1, \"target\": 5}, {\"weight\": 10851, \"source\": 1, \"target\": 4}, {\"weight\": 10466, \"source\": 1, \"target\": 8}, {\"weight\": 9459, \"source\": 1, \"target\": 3}, {\"weight\": 9665, \"source\": 1, \"target\": 2}, {\"weight\": 8349, \"source\": 2, \"target\": 7}, {\"weight\": 8936, \"source\": 2, \"target\": 6}, {\"weight\": 10256, \"source\": 2, \"target\": 5}, {\"weight\": 12600, \"source\": 2, \"target\": 4}, {\"weight\": 4194, \"source\": 2, \"target\": 8}, {\"weight\": 14637, \"source\": 2, \"target\": 3}, {\"weight\": 9838, \"source\": 3, \"target\": 7}, {\"weight\": 20482, \"source\": 3, \"target\": 6}, {\"weight\": 5522, \"source\": 3, \"target\": 5}, {\"weight\": 3036, \"source\": 3, \"target\": 4}, {\"weight\": 11852, \"source\": 3, \"target\": 8}, {\"weight\": 9967, \"source\": 4, \"target\": 7}, {\"weight\": 17845, \"source\": 4, \"target\": 6}, {\"weight\": 6914, \"source\": 4, \"target\": 5}, {\"weight\": 9856, \"source\": 4, \"target\": 8}, {\"weight\": 4999, \"source\": 5, \"target\": 7}, {\"weight\": 15005, \"source\": 5, \"target\": 6}, {\"weight\": 9762, \"source\": 5, \"target\": 8}, {\"weight\": 13422, \"source\": 6, \"target\": 7}, {\"weight\": 10167, \"source\": 6, \"target\": 8}, {\"weight\": 7783, \"source\": 7, \"target\": 8}]}",
"id": 2862,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AES, OAK, MEH, CPO, FLN, GUA, YBP, YSK, VLL\n- Travel distances (in kilometers) between each pair of airports:\nAES to YSK: 7321\nAES to YBP: 8284\nAES to GUA: 9179\nAES to OAK: 8637\nAES to FLN: 11271\nAES to VLL: 2957\nAES to CPO: 13330\nAES to MEH: 1403\nOAK to YSK: 4161\nOAK to YBP: 11427\nOAK to GUA: 4073\nOAK to FLN: 10851\nOAK to VLL: 10466\nOAK to CPO: 9459\nOAK to MEH: 9665\nMEH to YSK: 8349\nMEH to YBP: 8936\nMEH to GUA: 10256\nMEH to FLN: 12600\nMEH to VLL: 4194\nMEH to CPO: 14637\nCPO to YSK: 9838\nCPO to YBP: 20482\nCPO to GUA: 5522\nCPO to FLN: 3036\nCPO to VLL: 11852\nFLN to YSK: 9967\nFLN to YBP: 17845\nFLN to GUA: 6914\nFLN to VLL: 9856\nGUA to YSK: 4999\nGUA to YBP: 15005\nGUA to VLL: 9762\nYBP to YSK: 13422\nYBP to VLL: 10167\nYSK to VLL: 7783\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TLM, YQD, LWB, NJC, TSF, HBX, DCY, MDZ, ELQ\n- Travel distances (in kilometers) between each pair of airports:\nTLM to NJC: 6063\nTLM to LWB: 7592\nTLM to TSF: 1929\nTLM to DCY: 9902\nTLM to MDZ: 11465\nTLM to ELQ: 4448\nTLM to YQD: 9075\nTLM to HBX: 7912\nYQD to NJC: 11734\nYQD to LWB: 2865\nYQD to TSF: 8708\nYQD to DCY: 12833\nYQD to MDZ: 10355\nYQD to ELQ: 12183\nYQD to HBX: 15046\nLWB to NJC: 10315\nLWB to TSF: 7306\nLWB to DCY: 13352\nLWB to MDZ: 8376\nLWB to ELQ: 10826\nLWB to HBX: 13645\nNJC to TSF: 4438\nNJC to DCY: 4505\nNJC to MDZ: 16497\nNJC to ELQ: 5119\nNJC to HBX: 5303\nTSF to DCY: 8336\nTSF to MDZ: 12124\nTSF to ELQ: 3602\nTSF to HBX: 6763\nHBX to DCY: 4248\nHBX to MDZ: 16711\nHBX to ELQ: 3558\nDCY to MDZ: 19805\nDCY to ELQ: 6323\nMDZ to ELQ: 13670\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52282,
"style": "rule"
}
|
{
"exact_answer": 52282,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TLM\", \"id\": 0}, {\"name\": \"YQD\", \"id\": 1}, {\"name\": \"LWB\", \"id\": 2}, {\"name\": \"NJC\", \"id\": 3}, {\"name\": \"TSF\", \"id\": 4}, {\"name\": \"HBX\", \"id\": 5}, {\"name\": \"DCY\", \"id\": 6}, {\"name\": \"MDZ\", \"id\": 7}, {\"name\": \"ELQ\", \"id\": 8}], \"links\": [{\"weight\": 6063, \"source\": 0, \"target\": 3}, {\"weight\": 7592, \"source\": 0, \"target\": 2}, {\"weight\": 1929, \"source\": 0, \"target\": 4}, {\"weight\": 9902, \"source\": 0, \"target\": 6}, {\"weight\": 11465, \"source\": 0, \"target\": 7}, {\"weight\": 4448, \"source\": 0, \"target\": 8}, {\"weight\": 9075, \"source\": 0, \"target\": 1}, {\"weight\": 7912, \"source\": 0, \"target\": 5}, {\"weight\": 11734, \"source\": 1, \"target\": 3}, {\"weight\": 2865, \"source\": 1, \"target\": 2}, {\"weight\": 8708, \"source\": 1, \"target\": 4}, {\"weight\": 12833, \"source\": 1, \"target\": 6}, {\"weight\": 10355, \"source\": 1, \"target\": 7}, {\"weight\": 12183, \"source\": 1, \"target\": 8}, {\"weight\": 15046, \"source\": 1, \"target\": 5}, {\"weight\": 10315, \"source\": 2, \"target\": 3}, {\"weight\": 7306, \"source\": 2, \"target\": 4}, {\"weight\": 13352, \"source\": 2, \"target\": 6}, {\"weight\": 8376, \"source\": 2, \"target\": 7}, {\"weight\": 10826, \"source\": 2, \"target\": 8}, {\"weight\": 13645, \"source\": 2, \"target\": 5}, {\"weight\": 4438, \"source\": 3, \"target\": 4}, {\"weight\": 4505, \"source\": 3, \"target\": 6}, {\"weight\": 16497, \"source\": 3, \"target\": 7}, {\"weight\": 5119, \"source\": 3, \"target\": 8}, {\"weight\": 5303, \"source\": 3, \"target\": 5}, {\"weight\": 8336, \"source\": 4, \"target\": 6}, {\"weight\": 12124, \"source\": 4, \"target\": 7}, {\"weight\": 3602, \"source\": 4, \"target\": 8}, {\"weight\": 6763, \"source\": 4, \"target\": 5}, {\"weight\": 4248, \"source\": 5, \"target\": 6}, {\"weight\": 16711, \"source\": 5, \"target\": 7}, {\"weight\": 3558, \"source\": 5, \"target\": 8}, {\"weight\": 19805, \"source\": 6, \"target\": 7}, {\"weight\": 6323, \"source\": 6, \"target\": 8}, {\"weight\": 13670, \"source\": 7, \"target\": 8}]}",
"id": 2863,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TLM, YQD, LWB, NJC, TSF, HBX, DCY, MDZ, ELQ\n- Travel distances (in kilometers) between each pair of airports:\nTLM to NJC: 6063\nTLM to LWB: 7592\nTLM to TSF: 1929\nTLM to DCY: 9902\nTLM to MDZ: 11465\nTLM to ELQ: 4448\nTLM to YQD: 9075\nTLM to HBX: 7912\nYQD to NJC: 11734\nYQD to LWB: 2865\nYQD to TSF: 8708\nYQD to DCY: 12833\nYQD to MDZ: 10355\nYQD to ELQ: 12183\nYQD to HBX: 15046\nLWB to NJC: 10315\nLWB to TSF: 7306\nLWB to DCY: 13352\nLWB to MDZ: 8376\nLWB to ELQ: 10826\nLWB to HBX: 13645\nNJC to TSF: 4438\nNJC to DCY: 4505\nNJC to MDZ: 16497\nNJC to ELQ: 5119\nNJC to HBX: 5303\nTSF to DCY: 8336\nTSF to MDZ: 12124\nTSF to ELQ: 3602\nTSF to HBX: 6763\nHBX to DCY: 4248\nHBX to MDZ: 16711\nHBX to ELQ: 3558\nDCY to MDZ: 19805\nDCY to ELQ: 6323\nMDZ to ELQ: 13670\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNK, ELG, GOP, SJD, RGS, NLA, YXE, RGK, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nDNK to SJD: 11453\nDNK to GOP: 4969\nDNK to YXE: 9210\nDNK to ELG: 3893\nDNK to NLA: 7097\nDNK to NSQ: 6019\nDNK to RGS: 3224\nDNK to RGK: 3922\nELG to SJD: 11194\nELG to GOP: 8328\nELG to YXE: 9651\nELG to NLA: 7768\nELG to NSQ: 6914\nELG to RGS: 1859\nELG to RGK: 7307\nGOP to SJD: 15586\nGOP to YXE: 13723\nGOP to NLA: 7658\nGOP to NSQ: 10754\nGOP to RGS: 7921\nGOP to RGK: 8079\nSJD to YXE: 3294\nSJD to NLA: 15652\nSJD to NSQ: 10188\nSJD to RGS: 10476\nSJD to RGK: 14139\nRGS to YXE: 8882\nRGS to NLA: 7923\nRGS to NSQ: 6027\nRGS to RGK: 6628\nNLA to YXE: 14795\nNLA to NSQ: 12585\nNLA to RGK: 11007\nYXE to NSQ: 7945\nYXE to RGK: 11896\nRGK to NSQ: 8963\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56854,
"style": "rule"
}
|
{
"exact_answer": 56854,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DNK\", \"id\": 0}, {\"name\": \"ELG\", \"id\": 1}, {\"name\": \"GOP\", \"id\": 2}, {\"name\": \"SJD\", \"id\": 3}, {\"name\": \"RGS\", \"id\": 4}, {\"name\": \"NLA\", \"id\": 5}, {\"name\": \"YXE\", \"id\": 6}, {\"name\": \"RGK\", \"id\": 7}, {\"name\": \"NSQ\", \"id\": 8}], \"links\": [{\"weight\": 11453, \"source\": 0, \"target\": 3}, {\"weight\": 4969, \"source\": 0, \"target\": 2}, {\"weight\": 9210, \"source\": 0, \"target\": 6}, {\"weight\": 3893, \"source\": 0, \"target\": 1}, {\"weight\": 7097, \"source\": 0, \"target\": 5}, {\"weight\": 6019, \"source\": 0, \"target\": 8}, {\"weight\": 3224, \"source\": 0, \"target\": 4}, {\"weight\": 3922, \"source\": 0, \"target\": 7}, {\"weight\": 11194, \"source\": 1, \"target\": 3}, {\"weight\": 8328, \"source\": 1, \"target\": 2}, {\"weight\": 9651, \"source\": 1, \"target\": 6}, {\"weight\": 7768, \"source\": 1, \"target\": 5}, {\"weight\": 6914, \"source\": 1, \"target\": 8}, {\"weight\": 1859, \"source\": 1, \"target\": 4}, {\"weight\": 7307, \"source\": 1, \"target\": 7}, {\"weight\": 15586, \"source\": 2, \"target\": 3}, {\"weight\": 13723, \"source\": 2, \"target\": 6}, {\"weight\": 7658, \"source\": 2, \"target\": 5}, {\"weight\": 10754, \"source\": 2, \"target\": 8}, {\"weight\": 7921, \"source\": 2, \"target\": 4}, {\"weight\": 8079, \"source\": 2, \"target\": 7}, {\"weight\": 3294, \"source\": 3, \"target\": 6}, {\"weight\": 15652, \"source\": 3, \"target\": 5}, {\"weight\": 10188, \"source\": 3, \"target\": 8}, {\"weight\": 10476, \"source\": 3, \"target\": 4}, {\"weight\": 14139, \"source\": 3, \"target\": 7}, {\"weight\": 8882, \"source\": 4, \"target\": 6}, {\"weight\": 7923, \"source\": 4, \"target\": 5}, {\"weight\": 6027, \"source\": 4, \"target\": 8}, {\"weight\": 6628, \"source\": 4, \"target\": 7}, {\"weight\": 14795, \"source\": 5, \"target\": 6}, {\"weight\": 12585, \"source\": 5, \"target\": 8}, {\"weight\": 11007, \"source\": 5, \"target\": 7}, {\"weight\": 7945, \"source\": 6, \"target\": 8}, {\"weight\": 11896, \"source\": 6, \"target\": 7}, {\"weight\": 8963, \"source\": 7, \"target\": 8}]}",
"id": 2864,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNK, ELG, GOP, SJD, RGS, NLA, YXE, RGK, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nDNK to SJD: 11453\nDNK to GOP: 4969\nDNK to YXE: 9210\nDNK to ELG: 3893\nDNK to NLA: 7097\nDNK to NSQ: 6019\nDNK to RGS: 3224\nDNK to RGK: 3922\nELG to SJD: 11194\nELG to GOP: 8328\nELG to YXE: 9651\nELG to NLA: 7768\nELG to NSQ: 6914\nELG to RGS: 1859\nELG to RGK: 7307\nGOP to SJD: 15586\nGOP to YXE: 13723\nGOP to NLA: 7658\nGOP to NSQ: 10754\nGOP to RGS: 7921\nGOP to RGK: 8079\nSJD to YXE: 3294\nSJD to NLA: 15652\nSJD to NSQ: 10188\nSJD to RGS: 10476\nSJD to RGK: 14139\nRGS to YXE: 8882\nRGS to NLA: 7923\nRGS to NSQ: 6027\nRGS to RGK: 6628\nNLA to YXE: 14795\nNLA to NSQ: 12585\nNLA to RGK: 11007\nYXE to NSQ: 7945\nYXE to RGK: 11896\nRGK to NSQ: 8963\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOI, PYC, MQX, SJI, EPR, EXT, CHO, USK, YSK\n- Travel distances (in kilometers) between each pair of airports:\nGOI to YSK: 14020\nGOI to SJI: 5384\nGOI to USK: 6200\nGOI to PYC: 16927\nGOI to CHO: 13400\nGOI to EXT: 7859\nGOI to MQX: 4765\nGOI to EPR: 8080\nPYC to YSK: 5930\nPYC to SJI: 16929\nPYC to USK: 12562\nPYC to CHO: 3784\nPYC to EXT: 9537\nPYC to MQX: 15383\nPYC to EPR: 20670\nMQX to YSK: 12809\nMQX to SJI: 9688\nMQX to USK: 7323\nMQX to CHO: 12193\nMQX to EXT: 6554\nMQX to EPR: 11232\nSJI to YSK: 13826\nSJI to USK: 8581\nSJI to CHO: 14143\nSJI to EXT: 11246\nSJI to EPR: 6064\nEPR to YSK: 19306\nEPR to USK: 13083\nEPR to CHO: 19430\nEPR to EXT: 15327\nEXT to YSK: 6860\nEXT to USK: 3909\nEXT to CHO: 5943\nCHO to YSK: 2205\nCHO to USK: 8906\nUSK to YSK: 9864\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59434,
"style": "rule"
}
|
{
"exact_answer": 59434,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOI\", \"id\": 0}, {\"name\": \"PYC\", \"id\": 1}, {\"name\": \"MQX\", \"id\": 2}, {\"name\": \"SJI\", \"id\": 3}, {\"name\": \"EPR\", \"id\": 4}, {\"name\": \"EXT\", \"id\": 5}, {\"name\": \"CHO\", \"id\": 6}, {\"name\": \"USK\", \"id\": 7}, {\"name\": \"YSK\", \"id\": 8}], \"links\": [{\"weight\": 14020, \"source\": 0, \"target\": 8}, {\"weight\": 5384, \"source\": 0, \"target\": 3}, {\"weight\": 6200, \"source\": 0, \"target\": 7}, {\"weight\": 16927, \"source\": 0, \"target\": 1}, {\"weight\": 13400, \"source\": 0, \"target\": 6}, {\"weight\": 7859, \"source\": 0, \"target\": 5}, {\"weight\": 4765, \"source\": 0, \"target\": 2}, {\"weight\": 8080, \"source\": 0, \"target\": 4}, {\"weight\": 5930, \"source\": 1, \"target\": 8}, {\"weight\": 16929, \"source\": 1, \"target\": 3}, {\"weight\": 12562, \"source\": 1, \"target\": 7}, {\"weight\": 3784, \"source\": 1, \"target\": 6}, {\"weight\": 9537, \"source\": 1, \"target\": 5}, {\"weight\": 15383, \"source\": 1, \"target\": 2}, {\"weight\": 20670, \"source\": 1, \"target\": 4}, {\"weight\": 12809, \"source\": 2, \"target\": 8}, {\"weight\": 9688, \"source\": 2, \"target\": 3}, {\"weight\": 7323, \"source\": 2, \"target\": 7}, {\"weight\": 12193, \"source\": 2, \"target\": 6}, {\"weight\": 6554, \"source\": 2, \"target\": 5}, {\"weight\": 11232, \"source\": 2, \"target\": 4}, {\"weight\": 13826, \"source\": 3, \"target\": 8}, {\"weight\": 8581, \"source\": 3, \"target\": 7}, {\"weight\": 14143, \"source\": 3, \"target\": 6}, {\"weight\": 11246, \"source\": 3, \"target\": 5}, {\"weight\": 6064, \"source\": 3, \"target\": 4}, {\"weight\": 19306, \"source\": 4, \"target\": 8}, {\"weight\": 13083, \"source\": 4, \"target\": 7}, {\"weight\": 19430, \"source\": 4, \"target\": 6}, {\"weight\": 15327, \"source\": 4, \"target\": 5}, {\"weight\": 6860, \"source\": 5, \"target\": 8}, {\"weight\": 3909, \"source\": 5, \"target\": 7}, {\"weight\": 5943, \"source\": 5, \"target\": 6}, {\"weight\": 2205, \"source\": 6, \"target\": 8}, {\"weight\": 8906, \"source\": 6, \"target\": 7}, {\"weight\": 9864, \"source\": 7, \"target\": 8}]}",
"id": 2865,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOI, PYC, MQX, SJI, EPR, EXT, CHO, USK, YSK\n- Travel distances (in kilometers) between each pair of airports:\nGOI to YSK: 14020\nGOI to SJI: 5384\nGOI to USK: 6200\nGOI to PYC: 16927\nGOI to CHO: 13400\nGOI to EXT: 7859\nGOI to MQX: 4765\nGOI to EPR: 8080\nPYC to YSK: 5930\nPYC to SJI: 16929\nPYC to USK: 12562\nPYC to CHO: 3784\nPYC to EXT: 9537\nPYC to MQX: 15383\nPYC to EPR: 20670\nMQX to YSK: 12809\nMQX to SJI: 9688\nMQX to USK: 7323\nMQX to CHO: 12193\nMQX to EXT: 6554\nMQX to EPR: 11232\nSJI to YSK: 13826\nSJI to USK: 8581\nSJI to CHO: 14143\nSJI to EXT: 11246\nSJI to EPR: 6064\nEPR to YSK: 19306\nEPR to USK: 13083\nEPR to CHO: 19430\nEPR to EXT: 15327\nEXT to YSK: 6860\nEXT to USK: 3909\nEXT to CHO: 5943\nCHO to YSK: 2205\nCHO to USK: 8906\nUSK to YSK: 9864\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDY, INN, MMY, YKM, EAS, IJK, VCT, VXE, GRX\n- Travel distances (in kilometers) between each pair of airports:\nLDY to IJK: 3781\nLDY to INN: 1592\nLDY to YKM: 8045\nLDY to GRX: 2134\nLDY to MMY: 10607\nLDY to EAS: 2117\nLDY to VCT: 7943\nLDY to VXE: 4914\nINN to IJK: 3044\nINN to YKM: 8731\nINN to GRX: 1727\nINN to MMY: 9800\nINN to EAS: 1694\nINN to VCT: 8931\nINN to VXE: 4992\nMMY to IJK: 6946\nMMY to YKM: 9708\nMMY to GRX: 11447\nMMY to EAS: 11158\nMMY to VCT: 12753\nMMY to VXE: 14557\nYKM to IJK: 10105\nYKM to GRX: 9372\nYKM to EAS: 9359\nYKM to VCT: 3375\nYKM to VXE: 9889\nEAS to IJK: 4392\nEAS to GRX: 717\nEAS to VCT: 8588\nEAS to VXE: 3753\nIJK to GRX: 4681\nIJK to VCT: 10556\nIJK to VXE: 7775\nVCT to GRX: 8601\nVCT to VXE: 8483\nVXE to GRX: 3657\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 39639,
"style": "rule"
}
|
{
"exact_answer": 39639,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LDY\", \"id\": 0}, {\"name\": \"INN\", \"id\": 1}, {\"name\": \"MMY\", \"id\": 2}, {\"name\": \"YKM\", \"id\": 3}, {\"name\": \"EAS\", \"id\": 4}, {\"name\": \"IJK\", \"id\": 5}, {\"name\": \"VCT\", \"id\": 6}, {\"name\": \"VXE\", \"id\": 7}, {\"name\": \"GRX\", \"id\": 8}], \"links\": [{\"weight\": 3781, \"source\": 0, \"target\": 5}, {\"weight\": 1592, \"source\": 0, \"target\": 1}, {\"weight\": 8045, \"source\": 0, \"target\": 3}, {\"weight\": 2134, \"source\": 0, \"target\": 8}, {\"weight\": 10607, \"source\": 0, \"target\": 2}, {\"weight\": 2117, \"source\": 0, \"target\": 4}, {\"weight\": 7943, \"source\": 0, \"target\": 6}, {\"weight\": 4914, \"source\": 0, \"target\": 7}, {\"weight\": 3044, \"source\": 1, \"target\": 5}, {\"weight\": 8731, \"source\": 1, \"target\": 3}, {\"weight\": 1727, \"source\": 1, \"target\": 8}, {\"weight\": 9800, \"source\": 1, \"target\": 2}, {\"weight\": 1694, \"source\": 1, \"target\": 4}, {\"weight\": 8931, \"source\": 1, \"target\": 6}, {\"weight\": 4992, \"source\": 1, \"target\": 7}, {\"weight\": 6946, \"source\": 2, \"target\": 5}, {\"weight\": 9708, \"source\": 2, \"target\": 3}, {\"weight\": 11447, \"source\": 2, \"target\": 8}, {\"weight\": 11158, \"source\": 2, \"target\": 4}, {\"weight\": 12753, \"source\": 2, \"target\": 6}, {\"weight\": 14557, \"source\": 2, \"target\": 7}, {\"weight\": 10105, \"source\": 3, \"target\": 5}, {\"weight\": 9372, \"source\": 3, \"target\": 8}, {\"weight\": 9359, \"source\": 3, \"target\": 4}, {\"weight\": 3375, \"source\": 3, \"target\": 6}, {\"weight\": 9889, \"source\": 3, \"target\": 7}, {\"weight\": 4392, \"source\": 4, \"target\": 5}, {\"weight\": 717, \"source\": 4, \"target\": 8}, {\"weight\": 8588, \"source\": 4, \"target\": 6}, {\"weight\": 3753, \"source\": 4, \"target\": 7}, {\"weight\": 4681, \"source\": 5, \"target\": 8}, {\"weight\": 10556, \"source\": 5, \"target\": 6}, {\"weight\": 7775, \"source\": 5, \"target\": 7}, {\"weight\": 8601, \"source\": 6, \"target\": 8}, {\"weight\": 8483, \"source\": 6, \"target\": 7}, {\"weight\": 3657, \"source\": 7, \"target\": 8}]}",
"id": 2866,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDY, INN, MMY, YKM, EAS, IJK, VCT, VXE, GRX\n- Travel distances (in kilometers) between each pair of airports:\nLDY to IJK: 3781\nLDY to INN: 1592\nLDY to YKM: 8045\nLDY to GRX: 2134\nLDY to MMY: 10607\nLDY to EAS: 2117\nLDY to VCT: 7943\nLDY to VXE: 4914\nINN to IJK: 3044\nINN to YKM: 8731\nINN to GRX: 1727\nINN to MMY: 9800\nINN to EAS: 1694\nINN to VCT: 8931\nINN to VXE: 4992\nMMY to IJK: 6946\nMMY to YKM: 9708\nMMY to GRX: 11447\nMMY to EAS: 11158\nMMY to VCT: 12753\nMMY to VXE: 14557\nYKM to IJK: 10105\nYKM to GRX: 9372\nYKM to EAS: 9359\nYKM to VCT: 3375\nYKM to VXE: 9889\nEAS to IJK: 4392\nEAS to GRX: 717\nEAS to VCT: 8588\nEAS to VXE: 3753\nIJK to GRX: 4681\nIJK to VCT: 10556\nIJK to VXE: 7775\nVCT to GRX: 8601\nVCT to VXE: 8483\nVXE to GRX: 3657\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRF, WXN, IND, MKG, JOS, PVD, PWM, RGN, TYR\n- Travel distances (in kilometers) between each pair of airports:\nKRF to RGN: 8297\nKRF to WXN: 7583\nKRF to IND: 7395\nKRF to PVD: 6940\nKRF to PWM: 7107\nKRF to TYR: 8686\nKRF to MKG: 7422\nKRF to JOS: 7112\nWXN to RGN: 1985\nWXN to IND: 12112\nWXN to PVD: 12489\nWXN to PWM: 12682\nWXN to TYR: 12740\nWXN to MKG: 12017\nWXN to JOS: 11782\nIND to RGN: 14090\nIND to PVD: 1290\nIND to PWM: 1443\nIND to TYR: 1387\nIND to MKG: 475\nIND to JOS: 10209\nMKG to RGN: 13995\nMKG to PVD: 1552\nMKG to PWM: 1634\nMKG to TYR: 1644\nMKG to JOS: 10519\nJOS to RGN: 10914\nJOS to PVD: 9673\nJOS to PWM: 9581\nJOS to TYR: 11429\nPVD to RGN: 14357\nPVD to PWM: 713\nPVD to TYR: 2624\nPWM to RGN: 14531\nPWM to TYR: 2822\nRGN to TYR: 14718\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42519,
"style": "rule"
}
|
{
"exact_answer": 42519,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRF\", \"id\": 0}, {\"name\": \"WXN\", \"id\": 1}, {\"name\": \"IND\", \"id\": 2}, {\"name\": \"MKG\", \"id\": 3}, {\"name\": \"JOS\", \"id\": 4}, {\"name\": \"PVD\", \"id\": 5}, {\"name\": \"PWM\", \"id\": 6}, {\"name\": \"RGN\", \"id\": 7}, {\"name\": \"TYR\", \"id\": 8}], \"links\": [{\"weight\": 8297, \"source\": 0, \"target\": 7}, {\"weight\": 7583, \"source\": 0, \"target\": 1}, {\"weight\": 7395, \"source\": 0, \"target\": 2}, {\"weight\": 6940, \"source\": 0, \"target\": 5}, {\"weight\": 7107, \"source\": 0, \"target\": 6}, {\"weight\": 8686, \"source\": 0, \"target\": 8}, {\"weight\": 7422, \"source\": 0, \"target\": 3}, {\"weight\": 7112, \"source\": 0, \"target\": 4}, {\"weight\": 1985, \"source\": 1, \"target\": 7}, {\"weight\": 12112, \"source\": 1, \"target\": 2}, {\"weight\": 12489, \"source\": 1, \"target\": 5}, {\"weight\": 12682, \"source\": 1, \"target\": 6}, {\"weight\": 12740, \"source\": 1, \"target\": 8}, {\"weight\": 12017, \"source\": 1, \"target\": 3}, {\"weight\": 11782, \"source\": 1, \"target\": 4}, {\"weight\": 14090, \"source\": 2, \"target\": 7}, {\"weight\": 1290, \"source\": 2, \"target\": 5}, {\"weight\": 1443, \"source\": 2, \"target\": 6}, {\"weight\": 1387, \"source\": 2, \"target\": 8}, {\"weight\": 475, \"source\": 2, \"target\": 3}, {\"weight\": 10209, \"source\": 2, \"target\": 4}, {\"weight\": 13995, \"source\": 3, \"target\": 7}, {\"weight\": 1552, \"source\": 3, \"target\": 5}, {\"weight\": 1634, \"source\": 3, \"target\": 6}, {\"weight\": 1644, \"source\": 3, \"target\": 8}, {\"weight\": 10519, \"source\": 3, \"target\": 4}, {\"weight\": 10914, \"source\": 4, \"target\": 7}, {\"weight\": 9673, \"source\": 4, \"target\": 5}, {\"weight\": 9581, \"source\": 4, \"target\": 6}, {\"weight\": 11429, \"source\": 4, \"target\": 8}, {\"weight\": 14357, \"source\": 5, \"target\": 7}, {\"weight\": 713, \"source\": 5, \"target\": 6}, {\"weight\": 2624, \"source\": 5, \"target\": 8}, {\"weight\": 14531, \"source\": 6, \"target\": 7}, {\"weight\": 2822, \"source\": 6, \"target\": 8}, {\"weight\": 14718, \"source\": 7, \"target\": 8}]}",
"id": 2867,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRF, WXN, IND, MKG, JOS, PVD, PWM, RGN, TYR\n- Travel distances (in kilometers) between each pair of airports:\nKRF to RGN: 8297\nKRF to WXN: 7583\nKRF to IND: 7395\nKRF to PVD: 6940\nKRF to PWM: 7107\nKRF to TYR: 8686\nKRF to MKG: 7422\nKRF to JOS: 7112\nWXN to RGN: 1985\nWXN to IND: 12112\nWXN to PVD: 12489\nWXN to PWM: 12682\nWXN to TYR: 12740\nWXN to MKG: 12017\nWXN to JOS: 11782\nIND to RGN: 14090\nIND to PVD: 1290\nIND to PWM: 1443\nIND to TYR: 1387\nIND to MKG: 475\nIND to JOS: 10209\nMKG to RGN: 13995\nMKG to PVD: 1552\nMKG to PWM: 1634\nMKG to TYR: 1644\nMKG to JOS: 10519\nJOS to RGN: 10914\nJOS to PVD: 9673\nJOS to PWM: 9581\nJOS to TYR: 11429\nPVD to RGN: 14357\nPVD to PWM: 713\nPVD to TYR: 2624\nPWM to RGN: 14531\nPWM to TYR: 2822\nRGN to TYR: 14718\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GWL, TCO, AOS, ADK, MLE, SGN, SDF, LEX\n- Travel distances (in kilometers) between each pair of airports:\nHAM to AOS: 10903\nHAM to SGN: 9491\nHAM to LEX: 7120\nHAM to SDF: 7120\nHAM to GWL: 7534\nHAM to MLE: 7924\nHAM to ADK: 12325\nHAM to TCO: 9823\nGWL to AOS: 17252\nGWL to SGN: 4717\nGWL to LEX: 14334\nGWL to SDF: 14314\nGWL to MLE: 2769\nGWL to ADK: 18674\nGWL to TCO: 17130\nTCO to AOS: 9619\nTCO to SGN: 18720\nTCO to LEX: 4253\nTCO to SDF: 4301\nTCO to MLE: 17260\nTCO to ADK: 11041\nAOS to SGN: 14748\nAOS to LEX: 5578\nAOS to SDF: 5504\nAOS to MLE: 17366\nAOS to ADK: 2404\nADK to SGN: 16170\nADK to LEX: 7000\nADK to SDF: 6926\nADK to MLE: 18788\nMLE to SGN: 3882\nMLE to LEX: 14872\nMLE to SDF: 14852\nSGN to LEX: 14478\nSGN to SDF: 14419\nSDF to LEX: 968\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53307,
"style": "rule"
}
|
{
"exact_answer": 53307,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HAM\", \"id\": 0}, {\"name\": \"GWL\", \"id\": 1}, {\"name\": \"TCO\", \"id\": 2}, {\"name\": \"AOS\", \"id\": 3}, {\"name\": \"ADK\", \"id\": 4}, {\"name\": \"MLE\", \"id\": 5}, {\"name\": \"SGN\", \"id\": 6}, {\"name\": \"SDF\", \"id\": 7}, {\"name\": \"LEX\", \"id\": 8}], \"links\": [{\"weight\": 10903, \"source\": 0, \"target\": 3}, {\"weight\": 9491, \"source\": 0, \"target\": 6}, {\"weight\": 7120, \"source\": 0, \"target\": 8}, {\"weight\": 7120, \"source\": 0, \"target\": 7}, {\"weight\": 7534, \"source\": 0, \"target\": 1}, {\"weight\": 7924, \"source\": 0, \"target\": 5}, {\"weight\": 12325, \"source\": 0, \"target\": 4}, {\"weight\": 9823, \"source\": 0, \"target\": 2}, {\"weight\": 17252, \"source\": 1, \"target\": 3}, {\"weight\": 4717, \"source\": 1, \"target\": 6}, {\"weight\": 14334, \"source\": 1, \"target\": 8}, {\"weight\": 14314, \"source\": 1, \"target\": 7}, {\"weight\": 2769, \"source\": 1, \"target\": 5}, {\"weight\": 18674, \"source\": 1, \"target\": 4}, {\"weight\": 17130, \"source\": 1, \"target\": 2}, {\"weight\": 9619, \"source\": 2, \"target\": 3}, {\"weight\": 18720, \"source\": 2, \"target\": 6}, {\"weight\": 4253, \"source\": 2, \"target\": 8}, {\"weight\": 4301, \"source\": 2, \"target\": 7}, {\"weight\": 17260, \"source\": 2, \"target\": 5}, {\"weight\": 11041, \"source\": 2, \"target\": 4}, {\"weight\": 14748, \"source\": 3, \"target\": 6}, {\"weight\": 5578, \"source\": 3, \"target\": 8}, {\"weight\": 5504, \"source\": 3, \"target\": 7}, {\"weight\": 17366, \"source\": 3, \"target\": 5}, {\"weight\": 2404, \"source\": 3, \"target\": 4}, {\"weight\": 16170, \"source\": 4, \"target\": 6}, {\"weight\": 7000, \"source\": 4, \"target\": 8}, {\"weight\": 6926, \"source\": 4, \"target\": 7}, {\"weight\": 18788, \"source\": 4, \"target\": 5}, {\"weight\": 3882, \"source\": 5, \"target\": 6}, {\"weight\": 14872, \"source\": 5, \"target\": 8}, {\"weight\": 14852, \"source\": 5, \"target\": 7}, {\"weight\": 14478, \"source\": 6, \"target\": 8}, {\"weight\": 14419, \"source\": 6, \"target\": 7}, {\"weight\": 968, \"source\": 7, \"target\": 8}]}",
"id": 2868,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GWL, TCO, AOS, ADK, MLE, SGN, SDF, LEX\n- Travel distances (in kilometers) between each pair of airports:\nHAM to AOS: 10903\nHAM to SGN: 9491\nHAM to LEX: 7120\nHAM to SDF: 7120\nHAM to GWL: 7534\nHAM to MLE: 7924\nHAM to ADK: 12325\nHAM to TCO: 9823\nGWL to AOS: 17252\nGWL to SGN: 4717\nGWL to LEX: 14334\nGWL to SDF: 14314\nGWL to MLE: 2769\nGWL to ADK: 18674\nGWL to TCO: 17130\nTCO to AOS: 9619\nTCO to SGN: 18720\nTCO to LEX: 4253\nTCO to SDF: 4301\nTCO to MLE: 17260\nTCO to ADK: 11041\nAOS to SGN: 14748\nAOS to LEX: 5578\nAOS to SDF: 5504\nAOS to MLE: 17366\nAOS to ADK: 2404\nADK to SGN: 16170\nADK to LEX: 7000\nADK to SDF: 6926\nADK to MLE: 18788\nMLE to SGN: 3882\nMLE to LEX: 14872\nMLE to SDF: 14852\nSGN to LEX: 14478\nSGN to SDF: 14419\nSDF to LEX: 968\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIZ, MBJ, DBQ, UBP, MLB, BLL, CAL, VDB, ZTB\n- Travel distances (in kilometers) between each pair of airports:\nCIZ to MBJ: 3771\nCIZ to MLB: 5910\nCIZ to DBQ: 6401\nCIZ to BLL: 9964\nCIZ to CAL: 9586\nCIZ to UBP: 19052\nCIZ to VDB: 10425\nCIZ to ZTB: 7389\nMBJ to MLB: 2516\nMBJ to DBQ: 3009\nMBJ to BLL: 8202\nMBJ to CAL: 7766\nMBJ to UBP: 17125\nMBJ to VDB: 8541\nMBJ to ZTB: 4242\nDBQ to MLB: 1925\nDBQ to BLL: 7072\nDBQ to CAL: 6310\nDBQ to UBP: 14590\nDBQ to VDB: 7018\nDBQ to ZTB: 2684\nUBP to MLB: 16036\nUBP to BLL: 9333\nUBP to CAL: 10402\nUBP to VDB: 9281\nUBP to ZTB: 14514\nMLB to BLL: 7769\nMLB to CAL: 6912\nMLB to VDB: 7703\nMLB to ZTB: 3350\nBLL to CAL: 1186\nBLL to VDB: 642\nBLL to ZTB: 5307\nCAL to VDB: 1576\nCAL to ZTB: 5106\nVDB to ZTB: 5798\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45979,
"style": "rule"
}
|
{
"exact_answer": 45979,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CIZ\", \"id\": 0}, {\"name\": \"MBJ\", \"id\": 1}, {\"name\": \"DBQ\", \"id\": 2}, {\"name\": \"UBP\", \"id\": 3}, {\"name\": \"MLB\", \"id\": 4}, {\"name\": \"BLL\", \"id\": 5}, {\"name\": \"CAL\", \"id\": 6}, {\"name\": \"VDB\", \"id\": 7}, {\"name\": \"ZTB\", \"id\": 8}], \"links\": [{\"weight\": 3771, \"source\": 0, \"target\": 1}, {\"weight\": 5910, \"source\": 0, \"target\": 4}, {\"weight\": 6401, \"source\": 0, \"target\": 2}, {\"weight\": 9964, \"source\": 0, \"target\": 5}, {\"weight\": 9586, \"source\": 0, \"target\": 6}, {\"weight\": 19052, \"source\": 0, \"target\": 3}, {\"weight\": 10425, \"source\": 0, \"target\": 7}, {\"weight\": 7389, \"source\": 0, \"target\": 8}, {\"weight\": 2516, \"source\": 1, \"target\": 4}, {\"weight\": 3009, \"source\": 1, \"target\": 2}, {\"weight\": 8202, \"source\": 1, \"target\": 5}, {\"weight\": 7766, \"source\": 1, \"target\": 6}, {\"weight\": 17125, \"source\": 1, \"target\": 3}, {\"weight\": 8541, \"source\": 1, \"target\": 7}, {\"weight\": 4242, \"source\": 1, \"target\": 8}, {\"weight\": 1925, \"source\": 2, \"target\": 4}, {\"weight\": 7072, \"source\": 2, \"target\": 5}, {\"weight\": 6310, \"source\": 2, \"target\": 6}, {\"weight\": 14590, \"source\": 2, \"target\": 3}, {\"weight\": 7018, \"source\": 2, \"target\": 7}, {\"weight\": 2684, \"source\": 2, \"target\": 8}, {\"weight\": 16036, \"source\": 3, \"target\": 4}, {\"weight\": 9333, \"source\": 3, \"target\": 5}, {\"weight\": 10402, \"source\": 3, \"target\": 6}, {\"weight\": 9281, \"source\": 3, \"target\": 7}, {\"weight\": 14514, \"source\": 3, \"target\": 8}, {\"weight\": 7769, \"source\": 4, \"target\": 5}, {\"weight\": 6912, \"source\": 4, \"target\": 6}, {\"weight\": 7703, \"source\": 4, \"target\": 7}, {\"weight\": 3350, \"source\": 4, \"target\": 8}, {\"weight\": 1186, \"source\": 5, \"target\": 6}, {\"weight\": 642, \"source\": 5, \"target\": 7}, {\"weight\": 5307, \"source\": 5, \"target\": 8}, {\"weight\": 1576, \"source\": 6, \"target\": 7}, {\"weight\": 5106, \"source\": 6, \"target\": 8}, {\"weight\": 5798, \"source\": 7, \"target\": 8}]}",
"id": 2869,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIZ, MBJ, DBQ, UBP, MLB, BLL, CAL, VDB, ZTB\n- Travel distances (in kilometers) between each pair of airports:\nCIZ to MBJ: 3771\nCIZ to MLB: 5910\nCIZ to DBQ: 6401\nCIZ to BLL: 9964\nCIZ to CAL: 9586\nCIZ to UBP: 19052\nCIZ to VDB: 10425\nCIZ to ZTB: 7389\nMBJ to MLB: 2516\nMBJ to DBQ: 3009\nMBJ to BLL: 8202\nMBJ to CAL: 7766\nMBJ to UBP: 17125\nMBJ to VDB: 8541\nMBJ to ZTB: 4242\nDBQ to MLB: 1925\nDBQ to BLL: 7072\nDBQ to CAL: 6310\nDBQ to UBP: 14590\nDBQ to VDB: 7018\nDBQ to ZTB: 2684\nUBP to MLB: 16036\nUBP to BLL: 9333\nUBP to CAL: 10402\nUBP to VDB: 9281\nUBP to ZTB: 14514\nMLB to BLL: 7769\nMLB to CAL: 6912\nMLB to VDB: 7703\nMLB to ZTB: 3350\nBLL to CAL: 1186\nBLL to VDB: 642\nBLL to ZTB: 5307\nCAL to VDB: 1576\nCAL to ZTB: 5106\nVDB to ZTB: 5798\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGH, OLC, UFA, USN, MBI, YVQ, AHU, YUY, BNA\n- Travel distances (in kilometers) between each pair of airports:\nCGH to YUY: 8863\nCGH to UFA: 12988\nCGH to YVQ: 12213\nCGH to BNA: 7944\nCGH to OLC: 3809\nCGH to AHU: 8041\nCGH to USN: 18859\nCGH to MBI: 10602\nOLC to YUY: 7288\nOLC to UFA: 13518\nOLC to YVQ: 10639\nOLC to BNA: 6164\nOLC to AHU: 9037\nOLC to USN: 18099\nOLC to MBI: 14067\nUFA to YUY: 9154\nUFA to YVQ: 10999\nUFA to BNA: 9581\nUFA to AHU: 5799\nUFA to USN: 5991\nUFA to MBI: 7808\nUSN to YUY: 12404\nUSN to YVQ: 11487\nUSN to BNA: 11967\nUSN to AHU: 11677\nUSN to MBI: 11602\nMBI to YUY: 13848\nMBI to YVQ: 16672\nMBI to BNA: 14612\nMBI to AHU: 8461\nYVQ to YUY: 4421\nYVQ to BNA: 4560\nYVQ to AHU: 10003\nAHU to YUY: 6566\nAHU to BNA: 7423\nYUY to BNA: 2030\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58212,
"style": "rule"
}
|
{
"exact_answer": 58212,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGH\", \"id\": 0}, {\"name\": \"OLC\", \"id\": 1}, {\"name\": \"UFA\", \"id\": 2}, {\"name\": \"USN\", \"id\": 3}, {\"name\": \"MBI\", \"id\": 4}, {\"name\": \"YVQ\", \"id\": 5}, {\"name\": \"AHU\", \"id\": 6}, {\"name\": \"YUY\", \"id\": 7}, {\"name\": \"BNA\", \"id\": 8}], \"links\": [{\"weight\": 8863, \"source\": 0, \"target\": 7}, {\"weight\": 12988, \"source\": 0, \"target\": 2}, {\"weight\": 12213, \"source\": 0, \"target\": 5}, {\"weight\": 7944, \"source\": 0, \"target\": 8}, {\"weight\": 3809, \"source\": 0, \"target\": 1}, {\"weight\": 8041, \"source\": 0, \"target\": 6}, {\"weight\": 18859, \"source\": 0, \"target\": 3}, {\"weight\": 10602, \"source\": 0, \"target\": 4}, {\"weight\": 7288, \"source\": 1, \"target\": 7}, {\"weight\": 13518, \"source\": 1, \"target\": 2}, {\"weight\": 10639, \"source\": 1, \"target\": 5}, {\"weight\": 6164, \"source\": 1, \"target\": 8}, {\"weight\": 9037, \"source\": 1, \"target\": 6}, {\"weight\": 18099, \"source\": 1, \"target\": 3}, {\"weight\": 14067, \"source\": 1, \"target\": 4}, {\"weight\": 9154, \"source\": 2, \"target\": 7}, {\"weight\": 10999, \"source\": 2, \"target\": 5}, {\"weight\": 9581, \"source\": 2, \"target\": 8}, {\"weight\": 5799, \"source\": 2, \"target\": 6}, {\"weight\": 5991, \"source\": 2, \"target\": 3}, {\"weight\": 7808, \"source\": 2, \"target\": 4}, {\"weight\": 12404, \"source\": 3, \"target\": 7}, {\"weight\": 11487, \"source\": 3, \"target\": 5}, {\"weight\": 11967, \"source\": 3, \"target\": 8}, {\"weight\": 11677, \"source\": 3, \"target\": 6}, {\"weight\": 11602, \"source\": 3, \"target\": 4}, {\"weight\": 13848, \"source\": 4, \"target\": 7}, {\"weight\": 16672, \"source\": 4, \"target\": 5}, {\"weight\": 14612, \"source\": 4, \"target\": 8}, {\"weight\": 8461, \"source\": 4, \"target\": 6}, {\"weight\": 4421, \"source\": 5, \"target\": 7}, {\"weight\": 4560, \"source\": 5, \"target\": 8}, {\"weight\": 10003, \"source\": 5, \"target\": 6}, {\"weight\": 6566, \"source\": 6, \"target\": 7}, {\"weight\": 7423, \"source\": 6, \"target\": 8}, {\"weight\": 2030, \"source\": 7, \"target\": 8}]}",
"id": 2870,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGH, OLC, UFA, USN, MBI, YVQ, AHU, YUY, BNA\n- Travel distances (in kilometers) between each pair of airports:\nCGH to YUY: 8863\nCGH to UFA: 12988\nCGH to YVQ: 12213\nCGH to BNA: 7944\nCGH to OLC: 3809\nCGH to AHU: 8041\nCGH to USN: 18859\nCGH to MBI: 10602\nOLC to YUY: 7288\nOLC to UFA: 13518\nOLC to YVQ: 10639\nOLC to BNA: 6164\nOLC to AHU: 9037\nOLC to USN: 18099\nOLC to MBI: 14067\nUFA to YUY: 9154\nUFA to YVQ: 10999\nUFA to BNA: 9581\nUFA to AHU: 5799\nUFA to USN: 5991\nUFA to MBI: 7808\nUSN to YUY: 12404\nUSN to YVQ: 11487\nUSN to BNA: 11967\nUSN to AHU: 11677\nUSN to MBI: 11602\nMBI to YUY: 13848\nMBI to YVQ: 16672\nMBI to BNA: 14612\nMBI to AHU: 8461\nYVQ to YUY: 4421\nYVQ to BNA: 4560\nYVQ to AHU: 10003\nAHU to YUY: 6566\nAHU to BNA: 7423\nYUY to BNA: 2030\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKS, BOY, SHP, BFS, SGO, IMP, BGR, SVP, BAQ\n- Travel distances (in kilometers) between each pair of airports:\nRKS to BOY: 11224\nRKS to BGR: 3422\nRKS to IMP: 8199\nRKS to BAQ: 4920\nRKS to SVP: 14195\nRKS to SHP: 10389\nRKS to BFS: 7666\nRKS to SGO: 13073\nBOY to BGR: 9077\nBOY to IMP: 6513\nBOY to BAQ: 10493\nBOY to SVP: 4099\nBOY to SHP: 12226\nBOY to BFS: 5207\nBOY to SGO: 17763\nSHP to BGR: 12372\nSHP to IMP: 17030\nSHP to BAQ: 14851\nSHP to SVP: 12848\nSHP to BFS: 8872\nSHP to SGO: 8829\nBFS to BGR: 5986\nBFS to IMP: 8585\nBFS to BAQ: 8603\nBFS to SVP: 7939\nBFS to SGO: 17153\nSGO to BGR: 16364\nSGO to IMP: 17002\nSGO to BAQ: 17326\nSGO to SVP: 15027\nIMP to BGR: 6632\nIMP to BAQ: 4541\nIMP to SVP: 8739\nBGR to BAQ: 4131\nBGR to SVP: 11867\nSVP to BAQ: 11997\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60913,
"style": "rule"
}
|
{
"exact_answer": 60913,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RKS\", \"id\": 0}, {\"name\": \"BOY\", \"id\": 1}, {\"name\": \"SHP\", \"id\": 2}, {\"name\": \"BFS\", \"id\": 3}, {\"name\": \"SGO\", \"id\": 4}, {\"name\": \"IMP\", \"id\": 5}, {\"name\": \"BGR\", \"id\": 6}, {\"name\": \"SVP\", \"id\": 7}, {\"name\": \"BAQ\", \"id\": 8}], \"links\": [{\"weight\": 11224, \"source\": 0, \"target\": 1}, {\"weight\": 3422, \"source\": 0, \"target\": 6}, {\"weight\": 8199, \"source\": 0, \"target\": 5}, {\"weight\": 4920, \"source\": 0, \"target\": 8}, {\"weight\": 14195, \"source\": 0, \"target\": 7}, {\"weight\": 10389, \"source\": 0, \"target\": 2}, {\"weight\": 7666, \"source\": 0, \"target\": 3}, {\"weight\": 13073, \"source\": 0, \"target\": 4}, {\"weight\": 9077, \"source\": 1, \"target\": 6}, {\"weight\": 6513, \"source\": 1, \"target\": 5}, {\"weight\": 10493, \"source\": 1, \"target\": 8}, {\"weight\": 4099, \"source\": 1, \"target\": 7}, {\"weight\": 12226, \"source\": 1, \"target\": 2}, {\"weight\": 5207, \"source\": 1, \"target\": 3}, {\"weight\": 17763, \"source\": 1, \"target\": 4}, {\"weight\": 12372, \"source\": 2, \"target\": 6}, {\"weight\": 17030, \"source\": 2, \"target\": 5}, {\"weight\": 14851, \"source\": 2, \"target\": 8}, {\"weight\": 12848, \"source\": 2, \"target\": 7}, {\"weight\": 8872, \"source\": 2, \"target\": 3}, {\"weight\": 8829, \"source\": 2, \"target\": 4}, {\"weight\": 5986, \"source\": 3, \"target\": 6}, {\"weight\": 8585, \"source\": 3, \"target\": 5}, {\"weight\": 8603, \"source\": 3, \"target\": 8}, {\"weight\": 7939, \"source\": 3, \"target\": 7}, {\"weight\": 17153, \"source\": 3, \"target\": 4}, {\"weight\": 16364, \"source\": 4, \"target\": 6}, {\"weight\": 17002, \"source\": 4, \"target\": 5}, {\"weight\": 17326, \"source\": 4, \"target\": 8}, {\"weight\": 15027, \"source\": 4, \"target\": 7}, {\"weight\": 6632, \"source\": 5, \"target\": 6}, {\"weight\": 4541, \"source\": 5, \"target\": 8}, {\"weight\": 8739, \"source\": 5, \"target\": 7}, {\"weight\": 4131, \"source\": 6, \"target\": 8}, {\"weight\": 11867, \"source\": 6, \"target\": 7}, {\"weight\": 11997, \"source\": 7, \"target\": 8}]}",
"id": 2871,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKS, BOY, SHP, BFS, SGO, IMP, BGR, SVP, BAQ\n- Travel distances (in kilometers) between each pair of airports:\nRKS to BOY: 11224\nRKS to BGR: 3422\nRKS to IMP: 8199\nRKS to BAQ: 4920\nRKS to SVP: 14195\nRKS to SHP: 10389\nRKS to BFS: 7666\nRKS to SGO: 13073\nBOY to BGR: 9077\nBOY to IMP: 6513\nBOY to BAQ: 10493\nBOY to SVP: 4099\nBOY to SHP: 12226\nBOY to BFS: 5207\nBOY to SGO: 17763\nSHP to BGR: 12372\nSHP to IMP: 17030\nSHP to BAQ: 14851\nSHP to SVP: 12848\nSHP to BFS: 8872\nSHP to SGO: 8829\nBFS to BGR: 5986\nBFS to IMP: 8585\nBFS to BAQ: 8603\nBFS to SVP: 7939\nBFS to SGO: 17153\nSGO to BGR: 16364\nSGO to IMP: 17002\nSGO to BAQ: 17326\nSGO to SVP: 15027\nIMP to BGR: 6632\nIMP to BAQ: 4541\nIMP to SVP: 8739\nBGR to BAQ: 4131\nBGR to SVP: 11867\nSVP to BAQ: 11997\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HEK, SJI, ORN, BYC, BJI, GZO, PEM, RBV, DIY\n- Travel distances (in kilometers) between each pair of airports:\nHEK to PEM: 18482\nHEK to SJI: 4262\nHEK to DIY: 8550\nHEK to BYC: 19346\nHEK to ORN: 10095\nHEK to BJI: 12022\nHEK to GZO: 9013\nHEK to RBV: 8934\nSJI to PEM: 19558\nSJI to DIY: 9857\nSJI to BYC: 20551\nSJI to ORN: 11974\nSJI to BJI: 13162\nSJI to GZO: 5954\nSJI to RBV: 5875\nORN to PEM: 10896\nORN to DIY: 3663\nORN to BYC: 10095\nORN to BJI: 8086\nORN to GZO: 17439\nORN to RBV: 17360\nBYC to PEM: 1618\nBYC to DIY: 13244\nBYC to BJI: 8401\nBYC to GZO: 16261\nBYC to RBV: 16182\nBJI to PEM: 7720\nBJI to DIY: 10211\nBJI to GZO: 14150\nBJI to RBV: 14071\nGZO to PEM: 16307\nGZO to DIY: 15322\nGZO to RBV: 95\nPEM to DIY: 14045\nPEM to RBV: 16228\nRBV to DIY: 15243\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56028,
"style": "rule"
}
|
{
"exact_answer": 56028,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HEK\", \"id\": 0}, {\"name\": \"SJI\", \"id\": 1}, {\"name\": \"ORN\", \"id\": 2}, {\"name\": \"BYC\", \"id\": 3}, {\"name\": \"BJI\", \"id\": 4}, {\"name\": \"GZO\", \"id\": 5}, {\"name\": \"PEM\", \"id\": 6}, {\"name\": \"RBV\", \"id\": 7}, {\"name\": \"DIY\", \"id\": 8}], \"links\": [{\"weight\": 18482, \"source\": 0, \"target\": 6}, {\"weight\": 4262, \"source\": 0, \"target\": 1}, {\"weight\": 8550, \"source\": 0, \"target\": 8}, {\"weight\": 19346, \"source\": 0, \"target\": 3}, {\"weight\": 10095, \"source\": 0, \"target\": 2}, {\"weight\": 12022, \"source\": 0, \"target\": 4}, {\"weight\": 9013, \"source\": 0, \"target\": 5}, {\"weight\": 8934, \"source\": 0, \"target\": 7}, {\"weight\": 19558, \"source\": 1, \"target\": 6}, {\"weight\": 9857, \"source\": 1, \"target\": 8}, {\"weight\": 20551, \"source\": 1, \"target\": 3}, {\"weight\": 11974, \"source\": 1, \"target\": 2}, {\"weight\": 13162, \"source\": 1, \"target\": 4}, {\"weight\": 5954, \"source\": 1, \"target\": 5}, {\"weight\": 5875, \"source\": 1, \"target\": 7}, {\"weight\": 10896, \"source\": 2, \"target\": 6}, {\"weight\": 3663, \"source\": 2, \"target\": 8}, {\"weight\": 10095, \"source\": 2, \"target\": 3}, {\"weight\": 8086, \"source\": 2, \"target\": 4}, {\"weight\": 17439, \"source\": 2, \"target\": 5}, {\"weight\": 17360, \"source\": 2, \"target\": 7}, {\"weight\": 1618, \"source\": 3, \"target\": 6}, {\"weight\": 13244, \"source\": 3, \"target\": 8}, {\"weight\": 8401, \"source\": 3, \"target\": 4}, {\"weight\": 16261, \"source\": 3, \"target\": 5}, {\"weight\": 16182, \"source\": 3, \"target\": 7}, {\"weight\": 7720, \"source\": 4, \"target\": 6}, {\"weight\": 10211, \"source\": 4, \"target\": 8}, {\"weight\": 14150, \"source\": 4, \"target\": 5}, {\"weight\": 14071, \"source\": 4, \"target\": 7}, {\"weight\": 16307, \"source\": 5, \"target\": 6}, {\"weight\": 15322, \"source\": 5, \"target\": 8}, {\"weight\": 95, \"source\": 5, \"target\": 7}, {\"weight\": 14045, \"source\": 6, \"target\": 8}, {\"weight\": 16228, \"source\": 6, \"target\": 7}, {\"weight\": 15243, \"source\": 7, \"target\": 8}]}",
"id": 2872,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HEK, SJI, ORN, BYC, BJI, GZO, PEM, RBV, DIY\n- Travel distances (in kilometers) between each pair of airports:\nHEK to PEM: 18482\nHEK to SJI: 4262\nHEK to DIY: 8550\nHEK to BYC: 19346\nHEK to ORN: 10095\nHEK to BJI: 12022\nHEK to GZO: 9013\nHEK to RBV: 8934\nSJI to PEM: 19558\nSJI to DIY: 9857\nSJI to BYC: 20551\nSJI to ORN: 11974\nSJI to BJI: 13162\nSJI to GZO: 5954\nSJI to RBV: 5875\nORN to PEM: 10896\nORN to DIY: 3663\nORN to BYC: 10095\nORN to BJI: 8086\nORN to GZO: 17439\nORN to RBV: 17360\nBYC to PEM: 1618\nBYC to DIY: 13244\nBYC to BJI: 8401\nBYC to GZO: 16261\nBYC to RBV: 16182\nBJI to PEM: 7720\nBJI to DIY: 10211\nBJI to GZO: 14150\nBJI to RBV: 14071\nGZO to PEM: 16307\nGZO to DIY: 15322\nGZO to RBV: 95\nPEM to DIY: 14045\nPEM to RBV: 16228\nRBV to DIY: 15243\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HGU, GIB, SMR, FNA, NSN, TIJ, FPO, JAL, LEB\n- Travel distances (in kilometers) between each pair of airports:\nHGU to FNA: 18842\nHGU to FPO: 16709\nHGU to TIJ: 14358\nHGU to LEB: 16526\nHGU to GIB: 16928\nHGU to JAL: 15531\nHGU to SMR: 18748\nHGU to NSN: 5245\nGIB to FNA: 6594\nGIB to FPO: 8903\nGIB to TIJ: 11383\nGIB to LEB: 7132\nGIB to JAL: 10857\nGIB to SMR: 10897\nGIB to NSN: 20667\nSMR to FNA: 9303\nSMR to FPO: 2989\nSMR to TIJ: 5777\nSMR to LEB: 4877\nSMR to JAL: 3758\nSMR to NSN: 15110\nFNA to FPO: 8610\nFNA to TIJ: 11214\nFNA to LEB: 7029\nFNA to JAL: 10465\nFNA to NSN: 19170\nNSN to FPO: 14896\nNSN to TIJ: 12545\nNSN to LEB: 15273\nNSN to JAL: 13718\nTIJ to FPO: 3878\nTIJ to LEB: 4690\nTIJ to JAL: 2538\nFPO to LEB: 2035\nFPO to JAL: 2468\nJAL to LEB: 3943\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59661,
"style": "rule"
}
|
{
"exact_answer": 59661,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HGU\", \"id\": 0}, {\"name\": \"GIB\", \"id\": 1}, {\"name\": \"SMR\", \"id\": 2}, {\"name\": \"FNA\", \"id\": 3}, {\"name\": \"NSN\", \"id\": 4}, {\"name\": \"TIJ\", \"id\": 5}, {\"name\": \"FPO\", \"id\": 6}, {\"name\": \"JAL\", \"id\": 7}, {\"name\": \"LEB\", \"id\": 8}], \"links\": [{\"weight\": 18842, \"source\": 0, \"target\": 3}, {\"weight\": 16709, \"source\": 0, \"target\": 6}, {\"weight\": 14358, \"source\": 0, \"target\": 5}, {\"weight\": 16526, \"source\": 0, \"target\": 8}, {\"weight\": 16928, \"source\": 0, \"target\": 1}, {\"weight\": 15531, \"source\": 0, \"target\": 7}, {\"weight\": 18748, \"source\": 0, \"target\": 2}, {\"weight\": 5245, \"source\": 0, \"target\": 4}, {\"weight\": 6594, \"source\": 1, \"target\": 3}, {\"weight\": 8903, \"source\": 1, \"target\": 6}, {\"weight\": 11383, \"source\": 1, \"target\": 5}, {\"weight\": 7132, \"source\": 1, \"target\": 8}, {\"weight\": 10857, \"source\": 1, \"target\": 7}, {\"weight\": 10897, \"source\": 1, \"target\": 2}, {\"weight\": 20667, \"source\": 1, \"target\": 4}, {\"weight\": 9303, \"source\": 2, \"target\": 3}, {\"weight\": 2989, \"source\": 2, \"target\": 6}, {\"weight\": 5777, \"source\": 2, \"target\": 5}, {\"weight\": 4877, \"source\": 2, \"target\": 8}, {\"weight\": 3758, \"source\": 2, \"target\": 7}, {\"weight\": 15110, \"source\": 2, \"target\": 4}, {\"weight\": 8610, \"source\": 3, \"target\": 6}, {\"weight\": 11214, \"source\": 3, \"target\": 5}, {\"weight\": 7029, \"source\": 3, \"target\": 8}, {\"weight\": 10465, \"source\": 3, \"target\": 7}, {\"weight\": 19170, \"source\": 3, \"target\": 4}, {\"weight\": 14896, \"source\": 4, \"target\": 6}, {\"weight\": 12545, \"source\": 4, \"target\": 5}, {\"weight\": 15273, \"source\": 4, \"target\": 8}, {\"weight\": 13718, \"source\": 4, \"target\": 7}, {\"weight\": 3878, \"source\": 5, \"target\": 6}, {\"weight\": 4690, \"source\": 5, \"target\": 8}, {\"weight\": 2538, \"source\": 5, \"target\": 7}, {\"weight\": 2035, \"source\": 6, \"target\": 8}, {\"weight\": 2468, \"source\": 6, \"target\": 7}, {\"weight\": 3943, \"source\": 7, \"target\": 8}]}",
"id": 2873,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HGU, GIB, SMR, FNA, NSN, TIJ, FPO, JAL, LEB\n- Travel distances (in kilometers) between each pair of airports:\nHGU to FNA: 18842\nHGU to FPO: 16709\nHGU to TIJ: 14358\nHGU to LEB: 16526\nHGU to GIB: 16928\nHGU to JAL: 15531\nHGU to SMR: 18748\nHGU to NSN: 5245\nGIB to FNA: 6594\nGIB to FPO: 8903\nGIB to TIJ: 11383\nGIB to LEB: 7132\nGIB to JAL: 10857\nGIB to SMR: 10897\nGIB to NSN: 20667\nSMR to FNA: 9303\nSMR to FPO: 2989\nSMR to TIJ: 5777\nSMR to LEB: 4877\nSMR to JAL: 3758\nSMR to NSN: 15110\nFNA to FPO: 8610\nFNA to TIJ: 11214\nFNA to LEB: 7029\nFNA to JAL: 10465\nFNA to NSN: 19170\nNSN to FPO: 14896\nNSN to TIJ: 12545\nNSN to LEB: 15273\nNSN to JAL: 13718\nTIJ to FPO: 3878\nTIJ to LEB: 4690\nTIJ to JAL: 2538\nFPO to LEB: 2035\nFPO to JAL: 2468\nJAL to LEB: 3943\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SVG, UDR, MNS, YQD, ISB, HUN, QFG, SVL, MKM\n- Travel distances (in kilometers) between each pair of airports:\nSVG to ISB: 5630\nSVG to UDR: 6827\nSVG to HUN: 9228\nSVG to SVL: 1379\nSVG to QFG: 3522\nSVG to YQD: 7785\nSVG to MKM: 11228\nSVG to MNS: 9059\nUDR to ISB: 1225\nUDR to HUN: 5023\nUDR to SVL: 6045\nUDR to QFG: 10143\nUDR to YQD: 14223\nUDR to MKM: 5465\nUDR to MNS: 6948\nMNS to ISB: 7295\nMNS to HUN: 11325\nMNS to SVL: 8997\nMNS to QFG: 12198\nMNS to YQD: 14819\nMNS to MKM: 10581\nYQD to ISB: 13012\nYQD to HUN: 12060\nYQD to SVL: 8919\nYQD to QFG: 8129\nYQD to MKM: 14342\nISB to HUN: 5162\nISB to SVL: 4973\nISB to QFG: 9003\nISB to MKM: 5772\nHUN to SVL: 8407\nHUN to QFG: 12505\nHUN to MKM: 2737\nQFG to SVL: 4656\nQFG to MKM: 14511\nSVL to MKM: 10413\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50769,
"style": "rule"
}
|
{
"exact_answer": 50769,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SVG\", \"id\": 0}, {\"name\": \"UDR\", \"id\": 1}, {\"name\": \"MNS\", \"id\": 2}, {\"name\": \"YQD\", \"id\": 3}, {\"name\": \"ISB\", \"id\": 4}, {\"name\": \"HUN\", \"id\": 5}, {\"name\": \"QFG\", \"id\": 6}, {\"name\": \"SVL\", \"id\": 7}, {\"name\": \"MKM\", \"id\": 8}], \"links\": [{\"weight\": 5630, \"source\": 0, \"target\": 4}, {\"weight\": 6827, \"source\": 0, \"target\": 1}, {\"weight\": 9228, \"source\": 0, \"target\": 5}, {\"weight\": 1379, \"source\": 0, \"target\": 7}, {\"weight\": 3522, \"source\": 0, \"target\": 6}, {\"weight\": 7785, \"source\": 0, \"target\": 3}, {\"weight\": 11228, \"source\": 0, \"target\": 8}, {\"weight\": 9059, \"source\": 0, \"target\": 2}, {\"weight\": 1225, \"source\": 1, \"target\": 4}, {\"weight\": 5023, \"source\": 1, \"target\": 5}, {\"weight\": 6045, \"source\": 1, \"target\": 7}, {\"weight\": 10143, \"source\": 1, \"target\": 6}, {\"weight\": 14223, \"source\": 1, \"target\": 3}, {\"weight\": 5465, \"source\": 1, \"target\": 8}, {\"weight\": 6948, \"source\": 1, \"target\": 2}, {\"weight\": 7295, \"source\": 2, \"target\": 4}, {\"weight\": 11325, \"source\": 2, \"target\": 5}, {\"weight\": 8997, \"source\": 2, \"target\": 7}, {\"weight\": 12198, \"source\": 2, \"target\": 6}, {\"weight\": 14819, \"source\": 2, \"target\": 3}, {\"weight\": 10581, \"source\": 2, \"target\": 8}, {\"weight\": 13012, \"source\": 3, \"target\": 4}, {\"weight\": 12060, \"source\": 3, \"target\": 5}, {\"weight\": 8919, \"source\": 3, \"target\": 7}, {\"weight\": 8129, \"source\": 3, \"target\": 6}, {\"weight\": 14342, \"source\": 3, \"target\": 8}, {\"weight\": 5162, \"source\": 4, \"target\": 5}, {\"weight\": 4973, \"source\": 4, \"target\": 7}, {\"weight\": 9003, \"source\": 4, \"target\": 6}, {\"weight\": 5772, \"source\": 4, \"target\": 8}, {\"weight\": 8407, \"source\": 5, \"target\": 7}, {\"weight\": 12505, \"source\": 5, \"target\": 6}, {\"weight\": 2737, \"source\": 5, \"target\": 8}, {\"weight\": 4656, \"source\": 6, \"target\": 7}, {\"weight\": 14511, \"source\": 6, \"target\": 8}, {\"weight\": 10413, \"source\": 7, \"target\": 8}]}",
"id": 2874,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, UDR, MNS, YQD, ISB, HUN, QFG, SVL, MKM\n- Travel distances (in kilometers) between each pair of airports:\nSVG to ISB: 5630\nSVG to UDR: 6827\nSVG to HUN: 9228\nSVG to SVL: 1379\nSVG to QFG: 3522\nSVG to YQD: 7785\nSVG to MKM: 11228\nSVG to MNS: 9059\nUDR to ISB: 1225\nUDR to HUN: 5023\nUDR to SVL: 6045\nUDR to QFG: 10143\nUDR to YQD: 14223\nUDR to MKM: 5465\nUDR to MNS: 6948\nMNS to ISB: 7295\nMNS to HUN: 11325\nMNS to SVL: 8997\nMNS to QFG: 12198\nMNS to YQD: 14819\nMNS to MKM: 10581\nYQD to ISB: 13012\nYQD to HUN: 12060\nYQD to SVL: 8919\nYQD to QFG: 8129\nYQD to MKM: 14342\nISB to HUN: 5162\nISB to SVL: 4973\nISB to QFG: 9003\nISB to MKM: 5772\nHUN to SVL: 8407\nHUN to QFG: 12505\nHUN to MKM: 2737\nQFG to SVL: 4656\nQFG to MKM: 14511\nSVL to MKM: 10413\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MHK, RFP, MBI, AGA, SNA, ZGS, THE, RBA, YIN\n- Travel distances (in kilometers) between each pair of airports:\nMHK to SNA: 2629\nMHK to THE: 7864\nMHK to RBA: 7787\nMHK to AGA: 8058\nMHK to YIN: 13098\nMHK to MBI: 15301\nMHK to ZGS: 3150\nMHK to RFP: 9506\nRFP to SNA: 7572\nRFP to THE: 12910\nRFP to RBA: 16583\nRFP to AGA: 16854\nRFP to YIN: 14717\nRFP to MBI: 18757\nRFP to ZGS: 11964\nMBI to SNA: 16932\nMBI to THE: 11185\nMBI to RBA: 8170\nMBI to AGA: 8441\nMBI to YIN: 8644\nMBI to ZGS: 12731\nAGA to SNA: 10000\nAGA to THE: 5462\nAGA to RBA: 487\nAGA to YIN: 8832\nAGA to ZGS: 7024\nSNA to THE: 9041\nSNA to RBA: 9729\nSNA to YIN: 13014\nSNA to ZGS: 5110\nZGS to THE: 7858\nZGS to RBA: 6564\nZGS to YIN: 11279\nTHE to RBA: 5864\nTHE to YIN: 14212\nRBA to YIN: 8353\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58689,
"style": "rule"
}
|
{
"exact_answer": 58689,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MHK\", \"id\": 0}, {\"name\": \"RFP\", \"id\": 1}, {\"name\": \"MBI\", \"id\": 2}, {\"name\": \"AGA\", \"id\": 3}, {\"name\": \"SNA\", \"id\": 4}, {\"name\": \"ZGS\", \"id\": 5}, {\"name\": \"THE\", \"id\": 6}, {\"name\": \"RBA\", \"id\": 7}, {\"name\": \"YIN\", \"id\": 8}], \"links\": [{\"weight\": 2629, \"source\": 0, \"target\": 4}, {\"weight\": 7864, \"source\": 0, \"target\": 6}, {\"weight\": 7787, \"source\": 0, \"target\": 7}, {\"weight\": 8058, \"source\": 0, \"target\": 3}, {\"weight\": 13098, \"source\": 0, \"target\": 8}, {\"weight\": 15301, \"source\": 0, \"target\": 2}, {\"weight\": 3150, \"source\": 0, \"target\": 5}, {\"weight\": 9506, \"source\": 0, \"target\": 1}, {\"weight\": 7572, \"source\": 1, \"target\": 4}, {\"weight\": 12910, \"source\": 1, \"target\": 6}, {\"weight\": 16583, \"source\": 1, \"target\": 7}, {\"weight\": 16854, \"source\": 1, \"target\": 3}, {\"weight\": 14717, \"source\": 1, \"target\": 8}, {\"weight\": 18757, \"source\": 1, \"target\": 2}, {\"weight\": 11964, \"source\": 1, \"target\": 5}, {\"weight\": 16932, \"source\": 2, \"target\": 4}, {\"weight\": 11185, \"source\": 2, \"target\": 6}, {\"weight\": 8170, \"source\": 2, \"target\": 7}, {\"weight\": 8441, \"source\": 2, \"target\": 3}, {\"weight\": 8644, \"source\": 2, \"target\": 8}, {\"weight\": 12731, \"source\": 2, \"target\": 5}, {\"weight\": 10000, \"source\": 3, \"target\": 4}, {\"weight\": 5462, \"source\": 3, \"target\": 6}, {\"weight\": 487, \"source\": 3, \"target\": 7}, {\"weight\": 8832, \"source\": 3, \"target\": 8}, {\"weight\": 7024, \"source\": 3, \"target\": 5}, {\"weight\": 9041, \"source\": 4, \"target\": 6}, {\"weight\": 9729, \"source\": 4, \"target\": 7}, {\"weight\": 13014, \"source\": 4, \"target\": 8}, {\"weight\": 5110, \"source\": 4, \"target\": 5}, {\"weight\": 7858, \"source\": 5, \"target\": 6}, {\"weight\": 6564, \"source\": 5, \"target\": 7}, {\"weight\": 11279, \"source\": 5, \"target\": 8}, {\"weight\": 5864, \"source\": 6, \"target\": 7}, {\"weight\": 14212, \"source\": 6, \"target\": 8}, {\"weight\": 8353, \"source\": 7, \"target\": 8}]}",
"id": 2875,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MHK, RFP, MBI, AGA, SNA, ZGS, THE, RBA, YIN\n- Travel distances (in kilometers) between each pair of airports:\nMHK to SNA: 2629\nMHK to THE: 7864\nMHK to RBA: 7787\nMHK to AGA: 8058\nMHK to YIN: 13098\nMHK to MBI: 15301\nMHK to ZGS: 3150\nMHK to RFP: 9506\nRFP to SNA: 7572\nRFP to THE: 12910\nRFP to RBA: 16583\nRFP to AGA: 16854\nRFP to YIN: 14717\nRFP to MBI: 18757\nRFP to ZGS: 11964\nMBI to SNA: 16932\nMBI to THE: 11185\nMBI to RBA: 8170\nMBI to AGA: 8441\nMBI to YIN: 8644\nMBI to ZGS: 12731\nAGA to SNA: 10000\nAGA to THE: 5462\nAGA to RBA: 487\nAGA to YIN: 8832\nAGA to ZGS: 7024\nSNA to THE: 9041\nSNA to RBA: 9729\nSNA to YIN: 13014\nSNA to ZGS: 5110\nZGS to THE: 7858\nZGS to RBA: 6564\nZGS to YIN: 11279\nTHE to RBA: 5864\nTHE to YIN: 14212\nRBA to YIN: 8353\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LBP, TBU, SRQ, MTM, GTF, MYW, TJA, BUA, MBE\n- Travel distances (in kilometers) between each pair of airports:\nLBP to MTM: 13400\nLBP to TJA: 19772\nLBP to SRQ: 16345\nLBP to GTF: 13103\nLBP to BUA: 5904\nLBP to TBU: 9226\nLBP to MBE: 5592\nLBP to MYW: 10004\nTBU to MTM: 11399\nTBU to TJA: 14248\nTBU to SRQ: 13600\nTBU to GTF: 11102\nTBU to BUA: 5192\nTBU to MBE: 10662\nTBU to MYW: 15726\nSRQ to MTM: 5338\nSRQ to TJA: 7220\nSRQ to GTF: 3598\nSRQ to BUA: 17056\nSRQ to MBE: 12951\nSRQ to MYW: 14777\nMTM to TJA: 10832\nMTM to GTF: 1939\nMTM to BUA: 14785\nMTM to MBE: 9849\nMTM to MYW: 16697\nGTF to TJA: 9084\nGTF to BUA: 14488\nGTF to MBE: 9552\nGTF to MYW: 15757\nMYW to TJA: 12585\nMYW to BUA: 14071\nMYW to MBE: 13199\nTJA to BUA: 17563\nTJA to MBE: 18304\nBUA to MBE: 7653\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65182,
"style": "rule"
}
|
{
"exact_answer": 65182,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LBP\", \"id\": 0}, {\"name\": \"TBU\", \"id\": 1}, {\"name\": \"SRQ\", \"id\": 2}, {\"name\": \"MTM\", \"id\": 3}, {\"name\": \"GTF\", \"id\": 4}, {\"name\": \"MYW\", \"id\": 5}, {\"name\": \"TJA\", \"id\": 6}, {\"name\": \"BUA\", \"id\": 7}, {\"name\": \"MBE\", \"id\": 8}], \"links\": [{\"weight\": 13400, \"source\": 0, \"target\": 3}, {\"weight\": 19772, \"source\": 0, \"target\": 6}, {\"weight\": 16345, \"source\": 0, \"target\": 2}, {\"weight\": 13103, \"source\": 0, \"target\": 4}, {\"weight\": 5904, \"source\": 0, \"target\": 7}, {\"weight\": 9226, \"source\": 0, \"target\": 1}, {\"weight\": 5592, \"source\": 0, \"target\": 8}, {\"weight\": 10004, \"source\": 0, \"target\": 5}, {\"weight\": 11399, \"source\": 1, \"target\": 3}, {\"weight\": 14248, \"source\": 1, \"target\": 6}, {\"weight\": 13600, \"source\": 1, \"target\": 2}, {\"weight\": 11102, \"source\": 1, \"target\": 4}, {\"weight\": 5192, \"source\": 1, \"target\": 7}, {\"weight\": 10662, \"source\": 1, \"target\": 8}, {\"weight\": 15726, \"source\": 1, \"target\": 5}, {\"weight\": 5338, \"source\": 2, \"target\": 3}, {\"weight\": 7220, \"source\": 2, \"target\": 6}, {\"weight\": 3598, \"source\": 2, \"target\": 4}, {\"weight\": 17056, \"source\": 2, \"target\": 7}, {\"weight\": 12951, \"source\": 2, \"target\": 8}, {\"weight\": 14777, \"source\": 2, \"target\": 5}, {\"weight\": 10832, \"source\": 3, \"target\": 6}, {\"weight\": 1939, \"source\": 3, \"target\": 4}, {\"weight\": 14785, \"source\": 3, \"target\": 7}, {\"weight\": 9849, \"source\": 3, \"target\": 8}, {\"weight\": 16697, \"source\": 3, \"target\": 5}, {\"weight\": 9084, \"source\": 4, \"target\": 6}, {\"weight\": 14488, \"source\": 4, \"target\": 7}, {\"weight\": 9552, \"source\": 4, \"target\": 8}, {\"weight\": 15757, \"source\": 4, \"target\": 5}, {\"weight\": 12585, \"source\": 5, \"target\": 6}, {\"weight\": 14071, \"source\": 5, \"target\": 7}, {\"weight\": 13199, \"source\": 5, \"target\": 8}, {\"weight\": 17563, \"source\": 6, \"target\": 7}, {\"weight\": 18304, \"source\": 6, \"target\": 8}, {\"weight\": 7653, \"source\": 7, \"target\": 8}]}",
"id": 2876,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LBP, TBU, SRQ, MTM, GTF, MYW, TJA, BUA, MBE\n- Travel distances (in kilometers) between each pair of airports:\nLBP to MTM: 13400\nLBP to TJA: 19772\nLBP to SRQ: 16345\nLBP to GTF: 13103\nLBP to BUA: 5904\nLBP to TBU: 9226\nLBP to MBE: 5592\nLBP to MYW: 10004\nTBU to MTM: 11399\nTBU to TJA: 14248\nTBU to SRQ: 13600\nTBU to GTF: 11102\nTBU to BUA: 5192\nTBU to MBE: 10662\nTBU to MYW: 15726\nSRQ to MTM: 5338\nSRQ to TJA: 7220\nSRQ to GTF: 3598\nSRQ to BUA: 17056\nSRQ to MBE: 12951\nSRQ to MYW: 14777\nMTM to TJA: 10832\nMTM to GTF: 1939\nMTM to BUA: 14785\nMTM to MBE: 9849\nMTM to MYW: 16697\nGTF to TJA: 9084\nGTF to BUA: 14488\nGTF to MBE: 9552\nGTF to MYW: 15757\nMYW to TJA: 12585\nMYW to BUA: 14071\nMYW to MBE: 13199\nTJA to BUA: 17563\nTJA to MBE: 18304\nBUA to MBE: 7653\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELM, BAV, EBL, URY, ENY, NER, LNS, KDV, PAT\n- Travel distances (in kilometers) between each pair of airports:\nELM to PAT: 13036\nELM to BAV: 11740\nELM to ENY: 11901\nELM to EBL: 9820\nELM to KDV: 12763\nELM to LNS: 669\nELM to NER: 12814\nELM to URY: 11761\nBAV to PAT: 3816\nBAV to ENY: 942\nBAV to EBL: 5758\nBAV to KDV: 9755\nBAV to LNS: 11838\nBAV to NER: 3369\nBAV to URY: 7350\nEBL to PAT: 4065\nEBL to ENY: 6232\nEBL to KDV: 15241\nEBL to LNS: 9906\nEBL to NER: 6675\nEBL to URY: 3062\nURY to PAT: 5022\nURY to ENY: 7619\nURY to KDV: 16327\nURY to LNS: 11852\nURY to NER: 8337\nENY to PAT: 3401\nENY to KDV: 9916\nENY to LNS: 11999\nENY to NER: 3625\nNER to PAT: 6561\nNER to KDV: 10871\nNER to LNS: 12879\nLNS to PAT: 13124\nLNS to KDV: 12891\nKDV to PAT: 11467\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50005,
"style": "rule"
}
|
{
"exact_answer": 50005,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ELM\", \"id\": 0}, {\"name\": \"BAV\", \"id\": 1}, {\"name\": \"EBL\", \"id\": 2}, {\"name\": \"URY\", \"id\": 3}, {\"name\": \"ENY\", \"id\": 4}, {\"name\": \"NER\", \"id\": 5}, {\"name\": \"LNS\", \"id\": 6}, {\"name\": \"KDV\", \"id\": 7}, {\"name\": \"PAT\", \"id\": 8}], \"links\": [{\"weight\": 13036, \"source\": 0, \"target\": 8}, {\"weight\": 11740, \"source\": 0, \"target\": 1}, {\"weight\": 11901, \"source\": 0, \"target\": 4}, {\"weight\": 9820, \"source\": 0, \"target\": 2}, {\"weight\": 12763, \"source\": 0, \"target\": 7}, {\"weight\": 669, \"source\": 0, \"target\": 6}, {\"weight\": 12814, \"source\": 0, \"target\": 5}, {\"weight\": 11761, \"source\": 0, \"target\": 3}, {\"weight\": 3816, \"source\": 1, \"target\": 8}, {\"weight\": 942, \"source\": 1, \"target\": 4}, {\"weight\": 5758, \"source\": 1, \"target\": 2}, {\"weight\": 9755, \"source\": 1, \"target\": 7}, {\"weight\": 11838, \"source\": 1, \"target\": 6}, {\"weight\": 3369, \"source\": 1, \"target\": 5}, {\"weight\": 7350, \"source\": 1, \"target\": 3}, {\"weight\": 4065, \"source\": 2, \"target\": 8}, {\"weight\": 6232, \"source\": 2, \"target\": 4}, {\"weight\": 15241, \"source\": 2, \"target\": 7}, {\"weight\": 9906, \"source\": 2, \"target\": 6}, {\"weight\": 6675, \"source\": 2, \"target\": 5}, {\"weight\": 3062, \"source\": 2, \"target\": 3}, {\"weight\": 5022, \"source\": 3, \"target\": 8}, {\"weight\": 7619, \"source\": 3, \"target\": 4}, {\"weight\": 16327, \"source\": 3, \"target\": 7}, {\"weight\": 11852, \"source\": 3, \"target\": 6}, {\"weight\": 8337, \"source\": 3, \"target\": 5}, {\"weight\": 3401, \"source\": 4, \"target\": 8}, {\"weight\": 9916, \"source\": 4, \"target\": 7}, {\"weight\": 11999, \"source\": 4, \"target\": 6}, {\"weight\": 3625, \"source\": 4, \"target\": 5}, {\"weight\": 6561, \"source\": 5, \"target\": 8}, {\"weight\": 10871, \"source\": 5, \"target\": 7}, {\"weight\": 12879, \"source\": 5, \"target\": 6}, {\"weight\": 13124, \"source\": 6, \"target\": 8}, {\"weight\": 12891, \"source\": 6, \"target\": 7}, {\"weight\": 11467, \"source\": 7, \"target\": 8}]}",
"id": 2877,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELM, BAV, EBL, URY, ENY, NER, LNS, KDV, PAT\n- Travel distances (in kilometers) between each pair of airports:\nELM to PAT: 13036\nELM to BAV: 11740\nELM to ENY: 11901\nELM to EBL: 9820\nELM to KDV: 12763\nELM to LNS: 669\nELM to NER: 12814\nELM to URY: 11761\nBAV to PAT: 3816\nBAV to ENY: 942\nBAV to EBL: 5758\nBAV to KDV: 9755\nBAV to LNS: 11838\nBAV to NER: 3369\nBAV to URY: 7350\nEBL to PAT: 4065\nEBL to ENY: 6232\nEBL to KDV: 15241\nEBL to LNS: 9906\nEBL to NER: 6675\nEBL to URY: 3062\nURY to PAT: 5022\nURY to ENY: 7619\nURY to KDV: 16327\nURY to LNS: 11852\nURY to NER: 8337\nENY to PAT: 3401\nENY to KDV: 9916\nENY to LNS: 11999\nENY to NER: 3625\nNER to PAT: 6561\nNER to KDV: 10871\nNER to LNS: 12879\nLNS to PAT: 13124\nLNS to KDV: 12891\nKDV to PAT: 11467\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FJR, CGK, KPO, CZM, MIG, DIN, QFG, FLS, MEB\n- Travel distances (in kilometers) between each pair of airports:\nFJR to MIG: 5239\nFJR to CZM: 13831\nFJR to CGK: 6879\nFJR to QFG: 9187\nFJR to KPO: 7394\nFJR to FLS: 12627\nFJR to MEB: 13001\nFJR to DIN: 6137\nCGK to MIG: 4241\nCGK to CZM: 17854\nCGK to QFG: 14521\nCGK to KPO: 5260\nCGK to FLS: 5860\nCGK to MEB: 6234\nCGK to DIN: 3334\nKPO to MIG: 2468\nKPO to CZM: 13510\nKPO to QFG: 11902\nKPO to FLS: 9564\nKPO to MEB: 9938\nKPO to DIN: 3122\nCZM to MIG: 14339\nCZM to QFG: 8659\nCZM to FLS: 16596\nCZM to MEB: 16970\nCZM to DIN: 15526\nMIG to QFG: 11077\nMIG to FLS: 9426\nMIG to MEB: 9800\nMIG to DIN: 1616\nDIN to QFG: 12269\nDIN to FLS: 8798\nDIN to MEB: 9172\nQFG to FLS: 20238\nQFG to MEB: 20612\nFLS to MEB: 374\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55213,
"style": "rule"
}
|
{
"exact_answer": 55213,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FJR\", \"id\": 0}, {\"name\": \"CGK\", \"id\": 1}, {\"name\": \"KPO\", \"id\": 2}, {\"name\": \"CZM\", \"id\": 3}, {\"name\": \"MIG\", \"id\": 4}, {\"name\": \"DIN\", \"id\": 5}, {\"name\": \"QFG\", \"id\": 6}, {\"name\": \"FLS\", \"id\": 7}, {\"name\": \"MEB\", \"id\": 8}], \"links\": [{\"weight\": 5239, \"source\": 0, \"target\": 4}, {\"weight\": 13831, \"source\": 0, \"target\": 3}, {\"weight\": 6879, \"source\": 0, \"target\": 1}, {\"weight\": 9187, \"source\": 0, \"target\": 6}, {\"weight\": 7394, \"source\": 0, \"target\": 2}, {\"weight\": 12627, \"source\": 0, \"target\": 7}, {\"weight\": 13001, \"source\": 0, \"target\": 8}, {\"weight\": 6137, \"source\": 0, \"target\": 5}, {\"weight\": 4241, \"source\": 1, \"target\": 4}, {\"weight\": 17854, \"source\": 1, \"target\": 3}, {\"weight\": 14521, \"source\": 1, \"target\": 6}, {\"weight\": 5260, \"source\": 1, \"target\": 2}, {\"weight\": 5860, \"source\": 1, \"target\": 7}, {\"weight\": 6234, \"source\": 1, \"target\": 8}, {\"weight\": 3334, \"source\": 1, \"target\": 5}, {\"weight\": 2468, \"source\": 2, \"target\": 4}, {\"weight\": 13510, \"source\": 2, \"target\": 3}, {\"weight\": 11902, \"source\": 2, \"target\": 6}, {\"weight\": 9564, \"source\": 2, \"target\": 7}, {\"weight\": 9938, \"source\": 2, \"target\": 8}, {\"weight\": 3122, \"source\": 2, \"target\": 5}, {\"weight\": 14339, \"source\": 3, \"target\": 4}, {\"weight\": 8659, \"source\": 3, \"target\": 6}, {\"weight\": 16596, \"source\": 3, \"target\": 7}, {\"weight\": 16970, \"source\": 3, \"target\": 8}, {\"weight\": 15526, \"source\": 3, \"target\": 5}, {\"weight\": 11077, \"source\": 4, \"target\": 6}, {\"weight\": 9426, \"source\": 4, \"target\": 7}, {\"weight\": 9800, \"source\": 4, \"target\": 8}, {\"weight\": 1616, \"source\": 4, \"target\": 5}, {\"weight\": 12269, \"source\": 5, \"target\": 6}, {\"weight\": 8798, \"source\": 5, \"target\": 7}, {\"weight\": 9172, \"source\": 5, \"target\": 8}, {\"weight\": 20238, \"source\": 6, \"target\": 7}, {\"weight\": 20612, \"source\": 6, \"target\": 8}, {\"weight\": 374, \"source\": 7, \"target\": 8}]}",
"id": 2878,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FJR, CGK, KPO, CZM, MIG, DIN, QFG, FLS, MEB\n- Travel distances (in kilometers) between each pair of airports:\nFJR to MIG: 5239\nFJR to CZM: 13831\nFJR to CGK: 6879\nFJR to QFG: 9187\nFJR to KPO: 7394\nFJR to FLS: 12627\nFJR to MEB: 13001\nFJR to DIN: 6137\nCGK to MIG: 4241\nCGK to CZM: 17854\nCGK to QFG: 14521\nCGK to KPO: 5260\nCGK to FLS: 5860\nCGK to MEB: 6234\nCGK to DIN: 3334\nKPO to MIG: 2468\nKPO to CZM: 13510\nKPO to QFG: 11902\nKPO to FLS: 9564\nKPO to MEB: 9938\nKPO to DIN: 3122\nCZM to MIG: 14339\nCZM to QFG: 8659\nCZM to FLS: 16596\nCZM to MEB: 16970\nCZM to DIN: 15526\nMIG to QFG: 11077\nMIG to FLS: 9426\nMIG to MEB: 9800\nMIG to DIN: 1616\nDIN to QFG: 12269\nDIN to FLS: 8798\nDIN to MEB: 9172\nQFG to FLS: 20238\nQFG to MEB: 20612\nFLS to MEB: 374\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEZ, CTC, CMP, IPC, DEN, WKJ, KKI, KOW, BSD\n- Travel distances (in kilometers) between each pair of airports:\nCEZ to DEN: 446\nCEZ to KOW: 12140\nCEZ to KKI: 4981\nCEZ to CTC: 11024\nCEZ to BSD: 13202\nCEZ to IPC: 12691\nCEZ to WKJ: 10817\nCEZ to CMP: 8752\nCTC to KOW: 20780\nCTC to KKI: 15113\nCTC to DEN: 10578\nCTC to BSD: 19918\nCTC to IPC: 5858\nCTC to WKJ: 20630\nCTC to CMP: 5106\nCMP to KOW: 18357\nCMP to KKI: 12492\nCMP to DEN: 8306\nCMP to BSD: 17853\nCMP to IPC: 8943\nCMP to WKJ: 18310\nIPC to KOW: 16377\nIPC to KKI: 13811\nIPC to DEN: 12245\nIPC to BSD: 17832\nIPC to WKJ: 14772\nDEN to KOW: 11694\nDEN to KKI: 4535\nDEN to BSD: 12756\nDEN to WKJ: 10371\nWKJ to KOW: 3374\nWKJ to KKI: 11465\nWKJ to BSD: 4708\nKKI to KOW: 13076\nKKI to BSD: 14151\nKOW to BSD: 1586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58580,
"style": "rule"
}
|
{
"exact_answer": 58580,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CEZ\", \"id\": 0}, {\"name\": \"CTC\", \"id\": 1}, {\"name\": \"CMP\", \"id\": 2}, {\"name\": \"IPC\", \"id\": 3}, {\"name\": \"DEN\", \"id\": 4}, {\"name\": \"WKJ\", \"id\": 5}, {\"name\": \"KKI\", \"id\": 6}, {\"name\": \"KOW\", \"id\": 7}, {\"name\": \"BSD\", \"id\": 8}], \"links\": [{\"weight\": 446, \"source\": 0, \"target\": 4}, {\"weight\": 12140, \"source\": 0, \"target\": 7}, {\"weight\": 4981, \"source\": 0, \"target\": 6}, {\"weight\": 11024, \"source\": 0, \"target\": 1}, {\"weight\": 13202, \"source\": 0, \"target\": 8}, {\"weight\": 12691, \"source\": 0, \"target\": 3}, {\"weight\": 10817, \"source\": 0, \"target\": 5}, {\"weight\": 8752, \"source\": 0, \"target\": 2}, {\"weight\": 20780, \"source\": 1, \"target\": 7}, {\"weight\": 15113, \"source\": 1, \"target\": 6}, {\"weight\": 10578, \"source\": 1, \"target\": 4}, {\"weight\": 19918, \"source\": 1, \"target\": 8}, {\"weight\": 5858, \"source\": 1, \"target\": 3}, {\"weight\": 20630, \"source\": 1, \"target\": 5}, {\"weight\": 5106, \"source\": 1, \"target\": 2}, {\"weight\": 18357, \"source\": 2, \"target\": 7}, {\"weight\": 12492, \"source\": 2, \"target\": 6}, {\"weight\": 8306, \"source\": 2, \"target\": 4}, {\"weight\": 17853, \"source\": 2, \"target\": 8}, {\"weight\": 8943, \"source\": 2, \"target\": 3}, {\"weight\": 18310, \"source\": 2, \"target\": 5}, {\"weight\": 16377, \"source\": 3, \"target\": 7}, {\"weight\": 13811, \"source\": 3, \"target\": 6}, {\"weight\": 12245, \"source\": 3, \"target\": 4}, {\"weight\": 17832, \"source\": 3, \"target\": 8}, {\"weight\": 14772, \"source\": 3, \"target\": 5}, {\"weight\": 11694, \"source\": 4, \"target\": 7}, {\"weight\": 4535, \"source\": 4, \"target\": 6}, {\"weight\": 12756, \"source\": 4, \"target\": 8}, {\"weight\": 10371, \"source\": 4, \"target\": 5}, {\"weight\": 3374, \"source\": 5, \"target\": 7}, {\"weight\": 11465, \"source\": 5, \"target\": 6}, {\"weight\": 4708, \"source\": 5, \"target\": 8}, {\"weight\": 13076, \"source\": 6, \"target\": 7}, {\"weight\": 14151, \"source\": 6, \"target\": 8}, {\"weight\": 1586, \"source\": 7, \"target\": 8}]}",
"id": 2879,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEZ, CTC, CMP, IPC, DEN, WKJ, KKI, KOW, BSD\n- Travel distances (in kilometers) between each pair of airports:\nCEZ to DEN: 446\nCEZ to KOW: 12140\nCEZ to KKI: 4981\nCEZ to CTC: 11024\nCEZ to BSD: 13202\nCEZ to IPC: 12691\nCEZ to WKJ: 10817\nCEZ to CMP: 8752\nCTC to KOW: 20780\nCTC to KKI: 15113\nCTC to DEN: 10578\nCTC to BSD: 19918\nCTC to IPC: 5858\nCTC to WKJ: 20630\nCTC to CMP: 5106\nCMP to KOW: 18357\nCMP to KKI: 12492\nCMP to DEN: 8306\nCMP to BSD: 17853\nCMP to IPC: 8943\nCMP to WKJ: 18310\nIPC to KOW: 16377\nIPC to KKI: 13811\nIPC to DEN: 12245\nIPC to BSD: 17832\nIPC to WKJ: 14772\nDEN to KOW: 11694\nDEN to KKI: 4535\nDEN to BSD: 12756\nDEN to WKJ: 10371\nWKJ to KOW: 3374\nWKJ to KKI: 11465\nWKJ to BSD: 4708\nKKI to KOW: 13076\nKKI to BSD: 14151\nKOW to BSD: 1586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, LET, HVN, LRM, BNX, AEY, KEJ, IPL, WEF\n- Travel distances (in kilometers) between each pair of airports:\nMLY to LRM: 8309\nMLY to LET: 10284\nMLY to HVN: 6417\nMLY to WEF: 11469\nMLY to BNX: 11764\nMLY to IPL: 4401\nMLY to AEY: 11481\nMLY to KEJ: 14715\nLET to LRM: 2743\nLET to HVN: 5382\nLET to WEF: 16456\nLET to BNX: 10941\nLET to IPL: 6733\nLET to AEY: 12309\nLET to KEJ: 14994\nHVN to LRM: 2794\nHVN to WEF: 11786\nHVN to BNX: 7439\nHVN to IPL: 4207\nHVN to AEY: 7632\nHVN to KEJ: 10866\nLRM to WEF: 13927\nLRM to BNX: 8536\nLRM to IPL: 5219\nLRM to AEY: 9750\nLRM to KEJ: 12657\nBNX to WEF: 8197\nBNX to IPL: 10468\nBNX to AEY: 6437\nBNX to KEJ: 4956\nAEY to WEF: 12268\nAEY to IPL: 10325\nAEY to KEJ: 9388\nKEJ to WEF: 9210\nKEJ to IPL: 13077\nIPL to WEF: 10684\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56375,
"style": "rule"
}
|
{
"exact_answer": 56375,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MLY\", \"id\": 0}, {\"name\": \"LET\", \"id\": 1}, {\"name\": \"HVN\", \"id\": 2}, {\"name\": \"LRM\", \"id\": 3}, {\"name\": \"BNX\", \"id\": 4}, {\"name\": \"AEY\", \"id\": 5}, {\"name\": \"KEJ\", \"id\": 6}, {\"name\": \"IPL\", \"id\": 7}, {\"name\": \"WEF\", \"id\": 8}], \"links\": [{\"weight\": 8309, \"source\": 0, \"target\": 3}, {\"weight\": 10284, \"source\": 0, \"target\": 1}, {\"weight\": 6417, \"source\": 0, \"target\": 2}, {\"weight\": 11469, \"source\": 0, \"target\": 8}, {\"weight\": 11764, \"source\": 0, \"target\": 4}, {\"weight\": 4401, \"source\": 0, \"target\": 7}, {\"weight\": 11481, \"source\": 0, \"target\": 5}, {\"weight\": 14715, \"source\": 0, \"target\": 6}, {\"weight\": 2743, \"source\": 1, \"target\": 3}, {\"weight\": 5382, \"source\": 1, \"target\": 2}, {\"weight\": 16456, \"source\": 1, \"target\": 8}, {\"weight\": 10941, \"source\": 1, \"target\": 4}, {\"weight\": 6733, \"source\": 1, \"target\": 7}, {\"weight\": 12309, \"source\": 1, \"target\": 5}, {\"weight\": 14994, \"source\": 1, \"target\": 6}, {\"weight\": 2794, \"source\": 2, \"target\": 3}, {\"weight\": 11786, \"source\": 2, \"target\": 8}, {\"weight\": 7439, \"source\": 2, \"target\": 4}, {\"weight\": 4207, \"source\": 2, \"target\": 7}, {\"weight\": 7632, \"source\": 2, \"target\": 5}, {\"weight\": 10866, \"source\": 2, \"target\": 6}, {\"weight\": 13927, \"source\": 3, \"target\": 8}, {\"weight\": 8536, \"source\": 3, \"target\": 4}, {\"weight\": 5219, \"source\": 3, \"target\": 7}, {\"weight\": 9750, \"source\": 3, \"target\": 5}, {\"weight\": 12657, \"source\": 3, \"target\": 6}, {\"weight\": 8197, \"source\": 4, \"target\": 8}, {\"weight\": 10468, \"source\": 4, \"target\": 7}, {\"weight\": 6437, \"source\": 4, \"target\": 5}, {\"weight\": 4956, \"source\": 4, \"target\": 6}, {\"weight\": 12268, \"source\": 5, \"target\": 8}, {\"weight\": 10325, \"source\": 5, \"target\": 7}, {\"weight\": 9388, \"source\": 5, \"target\": 6}, {\"weight\": 9210, \"source\": 6, \"target\": 8}, {\"weight\": 13077, \"source\": 6, \"target\": 7}, {\"weight\": 10684, \"source\": 7, \"target\": 8}]}",
"id": 2880,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, LET, HVN, LRM, BNX, AEY, KEJ, IPL, WEF\n- Travel distances (in kilometers) between each pair of airports:\nMLY to LRM: 8309\nMLY to LET: 10284\nMLY to HVN: 6417\nMLY to WEF: 11469\nMLY to BNX: 11764\nMLY to IPL: 4401\nMLY to AEY: 11481\nMLY to KEJ: 14715\nLET to LRM: 2743\nLET to HVN: 5382\nLET to WEF: 16456\nLET to BNX: 10941\nLET to IPL: 6733\nLET to AEY: 12309\nLET to KEJ: 14994\nHVN to LRM: 2794\nHVN to WEF: 11786\nHVN to BNX: 7439\nHVN to IPL: 4207\nHVN to AEY: 7632\nHVN to KEJ: 10866\nLRM to WEF: 13927\nLRM to BNX: 8536\nLRM to IPL: 5219\nLRM to AEY: 9750\nLRM to KEJ: 12657\nBNX to WEF: 8197\nBNX to IPL: 10468\nBNX to AEY: 6437\nBNX to KEJ: 4956\nAEY to WEF: 12268\nAEY to IPL: 10325\nAEY to KEJ: 9388\nKEJ to WEF: 9210\nKEJ to IPL: 13077\nIPL to WEF: 10684\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KET, HON, GRP, KDO, HAD, HNL, IOA, BKI, CEI\n- Travel distances (in kilometers) between each pair of airports:\nKET to HAD: 8975\nKET to BKI: 3220\nKET to IOA: 8282\nKET to HNL: 11210\nKET to CEI: 1869\nKET to HON: 14486\nKET to KDO: 4501\nKET to GRP: 18098\nHON to HAD: 8303\nHON to BKI: 14217\nHON to IOA: 9923\nHON to HNL: 6189\nHON to CEI: 13809\nHON to KDO: 15876\nHON to GRP: 9396\nGRP to HAD: 10561\nGRP to BKI: 18864\nGRP to IOA: 10698\nGRP to HNL: 13861\nGRP to CEI: 18276\nGRP to KDO: 16394\nKDO to HAD: 8493\nKDO to BKI: 5019\nKDO to IOA: 6860\nKDO to HNL: 13997\nKDO to CEI: 4128\nHAD to BKI: 10471\nHAD to IOA: 3229\nHAD to HNL: 12402\nHAD to CEI: 8726\nHNL to BKI: 9616\nHNL to IOA: 14543\nHNL to CEI: 10533\nIOA to BKI: 10272\nIOA to CEI: 8537\nBKI to CEI: 2701\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54922,
"style": "rule"
}
|
{
"exact_answer": 54922,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KET\", \"id\": 0}, {\"name\": \"HON\", \"id\": 1}, {\"name\": \"GRP\", \"id\": 2}, {\"name\": \"KDO\", \"id\": 3}, {\"name\": \"HAD\", \"id\": 4}, {\"name\": \"HNL\", \"id\": 5}, {\"name\": \"IOA\", \"id\": 6}, {\"name\": \"BKI\", \"id\": 7}, {\"name\": \"CEI\", \"id\": 8}], \"links\": [{\"weight\": 8975, \"source\": 0, \"target\": 4}, {\"weight\": 3220, \"source\": 0, \"target\": 7}, {\"weight\": 8282, \"source\": 0, \"target\": 6}, {\"weight\": 11210, \"source\": 0, \"target\": 5}, {\"weight\": 1869, \"source\": 0, \"target\": 8}, {\"weight\": 14486, \"source\": 0, \"target\": 1}, {\"weight\": 4501, \"source\": 0, \"target\": 3}, {\"weight\": 18098, \"source\": 0, \"target\": 2}, {\"weight\": 8303, \"source\": 1, \"target\": 4}, {\"weight\": 14217, \"source\": 1, \"target\": 7}, {\"weight\": 9923, \"source\": 1, \"target\": 6}, {\"weight\": 6189, \"source\": 1, \"target\": 5}, {\"weight\": 13809, \"source\": 1, \"target\": 8}, {\"weight\": 15876, \"source\": 1, \"target\": 3}, {\"weight\": 9396, \"source\": 1, \"target\": 2}, {\"weight\": 10561, \"source\": 2, \"target\": 4}, {\"weight\": 18864, \"source\": 2, \"target\": 7}, {\"weight\": 10698, \"source\": 2, \"target\": 6}, {\"weight\": 13861, \"source\": 2, \"target\": 5}, {\"weight\": 18276, \"source\": 2, \"target\": 8}, {\"weight\": 16394, \"source\": 2, \"target\": 3}, {\"weight\": 8493, \"source\": 3, \"target\": 4}, {\"weight\": 5019, \"source\": 3, \"target\": 7}, {\"weight\": 6860, \"source\": 3, \"target\": 6}, {\"weight\": 13997, \"source\": 3, \"target\": 5}, {\"weight\": 4128, \"source\": 3, \"target\": 8}, {\"weight\": 10471, \"source\": 4, \"target\": 7}, {\"weight\": 3229, \"source\": 4, \"target\": 6}, {\"weight\": 12402, \"source\": 4, \"target\": 5}, {\"weight\": 8726, \"source\": 4, \"target\": 8}, {\"weight\": 9616, \"source\": 5, \"target\": 7}, {\"weight\": 14543, \"source\": 5, \"target\": 6}, {\"weight\": 10533, \"source\": 5, \"target\": 8}, {\"weight\": 10272, \"source\": 6, \"target\": 7}, {\"weight\": 8537, \"source\": 6, \"target\": 8}, {\"weight\": 2701, \"source\": 7, \"target\": 8}]}",
"id": 2881,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KET, HON, GRP, KDO, HAD, HNL, IOA, BKI, CEI\n- Travel distances (in kilometers) between each pair of airports:\nKET to HAD: 8975\nKET to BKI: 3220\nKET to IOA: 8282\nKET to HNL: 11210\nKET to CEI: 1869\nKET to HON: 14486\nKET to KDO: 4501\nKET to GRP: 18098\nHON to HAD: 8303\nHON to BKI: 14217\nHON to IOA: 9923\nHON to HNL: 6189\nHON to CEI: 13809\nHON to KDO: 15876\nHON to GRP: 9396\nGRP to HAD: 10561\nGRP to BKI: 18864\nGRP to IOA: 10698\nGRP to HNL: 13861\nGRP to CEI: 18276\nGRP to KDO: 16394\nKDO to HAD: 8493\nKDO to BKI: 5019\nKDO to IOA: 6860\nKDO to HNL: 13997\nKDO to CEI: 4128\nHAD to BKI: 10471\nHAD to IOA: 3229\nHAD to HNL: 12402\nHAD to CEI: 8726\nHNL to BKI: 9616\nHNL to IOA: 14543\nHNL to CEI: 10533\nIOA to BKI: 10272\nIOA to CEI: 8537\nBKI to CEI: 2701\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SUG, DEL, MTS, IFO, PTG, KLL, LSP, AAQ, FUJ\n- Travel distances (in kilometers) between each pair of airports:\nSUG to LSP: 17304\nSUG to DEL: 5591\nSUG to KLL: 13947\nSUG to FUJ: 3222\nSUG to IFO: 9983\nSUG to AAQ: 10126\nSUG to MTS: 11561\nSUG to PTG: 11535\nDEL to LSP: 14322\nDEL to KLL: 15325\nDEL to FUJ: 5183\nDEL to IFO: 5094\nDEL to AAQ: 5465\nDEL to MTS: 8409\nDEL to PTG: 8383\nMTS to LSP: 12508\nMTS to KLL: 19344\nMTS to FUJ: 13062\nMTS to IFO: 9304\nMTS to AAQ: 10580\nMTS to PTG: 590\nIFO to LSP: 10252\nIFO to KLL: 12558\nIFO to FUJ: 8515\nIFO to AAQ: 2365\nIFO to PTG: 9278\nPTG to LSP: 12482\nPTG to KLL: 19318\nPTG to FUJ: 13036\nPTG to AAQ: 10554\nKLL to LSP: 8862\nKLL to FUJ: 11605\nKLL to AAQ: 13103\nLSP to FUJ: 14935\nLSP to AAQ: 11300\nAAQ to FUJ: 8503\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59486,
"style": "rule"
}
|
{
"exact_answer": 59486,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SUG\", \"id\": 0}, {\"name\": \"DEL\", \"id\": 1}, {\"name\": \"MTS\", \"id\": 2}, {\"name\": \"IFO\", \"id\": 3}, {\"name\": \"PTG\", \"id\": 4}, {\"name\": \"KLL\", \"id\": 5}, {\"name\": \"LSP\", \"id\": 6}, {\"name\": \"AAQ\", \"id\": 7}, {\"name\": \"FUJ\", \"id\": 8}], \"links\": [{\"weight\": 17304, \"source\": 0, \"target\": 6}, {\"weight\": 5591, \"source\": 0, \"target\": 1}, {\"weight\": 13947, \"source\": 0, \"target\": 5}, {\"weight\": 3222, \"source\": 0, \"target\": 8}, {\"weight\": 9983, \"source\": 0, \"target\": 3}, {\"weight\": 10126, \"source\": 0, \"target\": 7}, {\"weight\": 11561, \"source\": 0, \"target\": 2}, {\"weight\": 11535, \"source\": 0, \"target\": 4}, {\"weight\": 14322, \"source\": 1, \"target\": 6}, {\"weight\": 15325, \"source\": 1, \"target\": 5}, {\"weight\": 5183, \"source\": 1, \"target\": 8}, {\"weight\": 5094, \"source\": 1, \"target\": 3}, {\"weight\": 5465, \"source\": 1, \"target\": 7}, {\"weight\": 8409, \"source\": 1, \"target\": 2}, {\"weight\": 8383, \"source\": 1, \"target\": 4}, {\"weight\": 12508, \"source\": 2, \"target\": 6}, {\"weight\": 19344, \"source\": 2, \"target\": 5}, {\"weight\": 13062, \"source\": 2, \"target\": 8}, {\"weight\": 9304, \"source\": 2, \"target\": 3}, {\"weight\": 10580, \"source\": 2, \"target\": 7}, {\"weight\": 590, \"source\": 2, \"target\": 4}, {\"weight\": 10252, \"source\": 3, \"target\": 6}, {\"weight\": 12558, \"source\": 3, \"target\": 5}, {\"weight\": 8515, \"source\": 3, \"target\": 8}, {\"weight\": 2365, \"source\": 3, \"target\": 7}, {\"weight\": 9278, \"source\": 3, \"target\": 4}, {\"weight\": 12482, \"source\": 4, \"target\": 6}, {\"weight\": 19318, \"source\": 4, \"target\": 5}, {\"weight\": 13036, \"source\": 4, \"target\": 8}, {\"weight\": 10554, \"source\": 4, \"target\": 7}, {\"weight\": 8862, \"source\": 5, \"target\": 6}, {\"weight\": 11605, \"source\": 5, \"target\": 8}, {\"weight\": 13103, \"source\": 5, \"target\": 7}, {\"weight\": 14935, \"source\": 6, \"target\": 8}, {\"weight\": 11300, \"source\": 6, \"target\": 7}, {\"weight\": 8503, \"source\": 7, \"target\": 8}]}",
"id": 2882,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SUG, DEL, MTS, IFO, PTG, KLL, LSP, AAQ, FUJ\n- Travel distances (in kilometers) between each pair of airports:\nSUG to LSP: 17304\nSUG to DEL: 5591\nSUG to KLL: 13947\nSUG to FUJ: 3222\nSUG to IFO: 9983\nSUG to AAQ: 10126\nSUG to MTS: 11561\nSUG to PTG: 11535\nDEL to LSP: 14322\nDEL to KLL: 15325\nDEL to FUJ: 5183\nDEL to IFO: 5094\nDEL to AAQ: 5465\nDEL to MTS: 8409\nDEL to PTG: 8383\nMTS to LSP: 12508\nMTS to KLL: 19344\nMTS to FUJ: 13062\nMTS to IFO: 9304\nMTS to AAQ: 10580\nMTS to PTG: 590\nIFO to LSP: 10252\nIFO to KLL: 12558\nIFO to FUJ: 8515\nIFO to AAQ: 2365\nIFO to PTG: 9278\nPTG to LSP: 12482\nPTG to KLL: 19318\nPTG to FUJ: 13036\nPTG to AAQ: 10554\nKLL to LSP: 8862\nKLL to FUJ: 11605\nKLL to AAQ: 13103\nLSP to FUJ: 14935\nLSP to AAQ: 11300\nAAQ to FUJ: 8503\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDS, SOW, HRG, FLN, ATA, HTA, JJU, ORI, YXH\n- Travel distances (in kilometers) between each pair of airports:\nLDS to HTA: 1486\nLDS to ORI: 12340\nLDS to HRG: 8488\nLDS to YXH: 10140\nLDS to FLN: 18505\nLDS to SOW: 11413\nLDS to JJU: 11128\nLDS to ATA: 17708\nSOW to HTA: 11907\nSOW to ORI: 4739\nSOW to HRG: 12194\nSOW to YXH: 2441\nSOW to FLN: 10056\nSOW to JJU: 8431\nSOW to ATA: 6769\nHRG to HTA: 7014\nHRG to ORI: 14272\nHRG to YXH: 11113\nHRG to FLN: 11132\nHRG to JJU: 7627\nHRG to ATA: 13578\nFLN to HTA: 17019\nFLN to ORI: 13747\nFLN to YXH: 11139\nFLN to JJU: 13624\nFLN to ATA: 3891\nATA to HTA: 17579\nATA to ORI: 11045\nATA to YXH: 8438\nATA to JJU: 12245\nHTA to ORI: 12680\nHTA to YXH: 10668\nHTA to JJU: 9708\nJJU to ORI: 10489\nJJU to YXH: 7350\nORI to YXH: 3743\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57252,
"style": "rule"
}
|
{
"exact_answer": 57252,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LDS\", \"id\": 0}, {\"name\": \"SOW\", \"id\": 1}, {\"name\": \"HRG\", \"id\": 2}, {\"name\": \"FLN\", \"id\": 3}, {\"name\": \"ATA\", \"id\": 4}, {\"name\": \"HTA\", \"id\": 5}, {\"name\": \"JJU\", \"id\": 6}, {\"name\": \"ORI\", \"id\": 7}, {\"name\": \"YXH\", \"id\": 8}], \"links\": [{\"weight\": 1486, \"source\": 0, \"target\": 5}, {\"weight\": 12340, \"source\": 0, \"target\": 7}, {\"weight\": 8488, \"source\": 0, \"target\": 2}, {\"weight\": 10140, \"source\": 0, \"target\": 8}, {\"weight\": 18505, \"source\": 0, \"target\": 3}, {\"weight\": 11413, \"source\": 0, \"target\": 1}, {\"weight\": 11128, \"source\": 0, \"target\": 6}, {\"weight\": 17708, \"source\": 0, \"target\": 4}, {\"weight\": 11907, \"source\": 1, \"target\": 5}, {\"weight\": 4739, \"source\": 1, \"target\": 7}, {\"weight\": 12194, \"source\": 1, \"target\": 2}, {\"weight\": 2441, \"source\": 1, \"target\": 8}, {\"weight\": 10056, \"source\": 1, \"target\": 3}, {\"weight\": 8431, \"source\": 1, \"target\": 6}, {\"weight\": 6769, \"source\": 1, \"target\": 4}, {\"weight\": 7014, \"source\": 2, \"target\": 5}, {\"weight\": 14272, \"source\": 2, \"target\": 7}, {\"weight\": 11113, \"source\": 2, \"target\": 8}, {\"weight\": 11132, \"source\": 2, \"target\": 3}, {\"weight\": 7627, \"source\": 2, \"target\": 6}, {\"weight\": 13578, \"source\": 2, \"target\": 4}, {\"weight\": 17019, \"source\": 3, \"target\": 5}, {\"weight\": 13747, \"source\": 3, \"target\": 7}, {\"weight\": 11139, \"source\": 3, \"target\": 8}, {\"weight\": 13624, \"source\": 3, \"target\": 6}, {\"weight\": 3891, \"source\": 3, \"target\": 4}, {\"weight\": 17579, \"source\": 4, \"target\": 5}, {\"weight\": 11045, \"source\": 4, \"target\": 7}, {\"weight\": 8438, \"source\": 4, \"target\": 8}, {\"weight\": 12245, \"source\": 4, \"target\": 6}, {\"weight\": 12680, \"source\": 5, \"target\": 7}, {\"weight\": 10668, \"source\": 5, \"target\": 8}, {\"weight\": 9708, \"source\": 5, \"target\": 6}, {\"weight\": 10489, \"source\": 6, \"target\": 7}, {\"weight\": 7350, \"source\": 6, \"target\": 8}, {\"weight\": 3743, \"source\": 7, \"target\": 8}]}",
"id": 2883,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDS, SOW, HRG, FLN, ATA, HTA, JJU, ORI, YXH\n- Travel distances (in kilometers) between each pair of airports:\nLDS to HTA: 1486\nLDS to ORI: 12340\nLDS to HRG: 8488\nLDS to YXH: 10140\nLDS to FLN: 18505\nLDS to SOW: 11413\nLDS to JJU: 11128\nLDS to ATA: 17708\nSOW to HTA: 11907\nSOW to ORI: 4739\nSOW to HRG: 12194\nSOW to YXH: 2441\nSOW to FLN: 10056\nSOW to JJU: 8431\nSOW to ATA: 6769\nHRG to HTA: 7014\nHRG to ORI: 14272\nHRG to YXH: 11113\nHRG to FLN: 11132\nHRG to JJU: 7627\nHRG to ATA: 13578\nFLN to HTA: 17019\nFLN to ORI: 13747\nFLN to YXH: 11139\nFLN to JJU: 13624\nFLN to ATA: 3891\nATA to HTA: 17579\nATA to ORI: 11045\nATA to YXH: 8438\nATA to JJU: 12245\nHTA to ORI: 12680\nHTA to YXH: 10668\nHTA to JJU: 9708\nJJU to ORI: 10489\nJJU to YXH: 7350\nORI to YXH: 3743\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOC, AXU, BJR, DAC, STX, HRI, YXC, ULV, HFS\n- Travel distances (in kilometers) between each pair of airports:\nBOC to DAC: 16962\nBOC to ULV: 12017\nBOC to YXC: 5750\nBOC to STX: 2586\nBOC to AXU: 15109\nBOC to BJR: 14869\nBOC to HRI: 17829\nBOC to HFS: 10271\nAXU to DAC: 6295\nAXU to ULV: 6483\nAXU to YXC: 13659\nAXU to STX: 13048\nAXU to BJR: 426\nAXU to HRI: 6103\nAXU to HFS: 6719\nBJR to DAC: 6055\nBJR to ULV: 6243\nBJR to YXC: 13419\nBJR to STX: 12808\nBJR to HRI: 5863\nBJR to HFS: 6479\nDAC to ULV: 5625\nDAC to YXC: 12398\nDAC to STX: 14902\nDAC to HRI: 2334\nDAC to HFS: 7251\nSTX to ULV: 10003\nSTX to YXC: 5912\nSTX to HRI: 15572\nSTX to HFS: 8512\nHRI to ULV: 6714\nHRI to YXC: 14185\nHRI to HFS: 8260\nYXC to ULV: 9459\nYXC to HFS: 7761\nULV to HFS: 2284\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45677,
"style": "rule"
}
|
{
"exact_answer": 45677,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BOC\", \"id\": 0}, {\"name\": \"AXU\", \"id\": 1}, {\"name\": \"BJR\", \"id\": 2}, {\"name\": \"DAC\", \"id\": 3}, {\"name\": \"STX\", \"id\": 4}, {\"name\": \"HRI\", \"id\": 5}, {\"name\": \"YXC\", \"id\": 6}, {\"name\": \"ULV\", \"id\": 7}, {\"name\": \"HFS\", \"id\": 8}], \"links\": [{\"weight\": 16962, \"source\": 0, \"target\": 3}, {\"weight\": 12017, \"source\": 0, \"target\": 7}, {\"weight\": 5750, \"source\": 0, \"target\": 6}, {\"weight\": 2586, \"source\": 0, \"target\": 4}, {\"weight\": 15109, \"source\": 0, \"target\": 1}, {\"weight\": 14869, \"source\": 0, \"target\": 2}, {\"weight\": 17829, \"source\": 0, \"target\": 5}, {\"weight\": 10271, \"source\": 0, \"target\": 8}, {\"weight\": 6295, \"source\": 1, \"target\": 3}, {\"weight\": 6483, \"source\": 1, \"target\": 7}, {\"weight\": 13659, \"source\": 1, \"target\": 6}, {\"weight\": 13048, \"source\": 1, \"target\": 4}, {\"weight\": 426, \"source\": 1, \"target\": 2}, {\"weight\": 6103, \"source\": 1, \"target\": 5}, {\"weight\": 6719, \"source\": 1, \"target\": 8}, {\"weight\": 6055, \"source\": 2, \"target\": 3}, {\"weight\": 6243, \"source\": 2, \"target\": 7}, {\"weight\": 13419, \"source\": 2, \"target\": 6}, {\"weight\": 12808, \"source\": 2, \"target\": 4}, {\"weight\": 5863, \"source\": 2, \"target\": 5}, {\"weight\": 6479, \"source\": 2, \"target\": 8}, {\"weight\": 5625, \"source\": 3, \"target\": 7}, {\"weight\": 12398, \"source\": 3, \"target\": 6}, {\"weight\": 14902, \"source\": 3, \"target\": 4}, {\"weight\": 2334, \"source\": 3, \"target\": 5}, {\"weight\": 7251, \"source\": 3, \"target\": 8}, {\"weight\": 10003, \"source\": 4, \"target\": 7}, {\"weight\": 5912, \"source\": 4, \"target\": 6}, {\"weight\": 15572, \"source\": 4, \"target\": 5}, {\"weight\": 8512, \"source\": 4, \"target\": 8}, {\"weight\": 6714, \"source\": 5, \"target\": 7}, {\"weight\": 14185, \"source\": 5, \"target\": 6}, {\"weight\": 8260, \"source\": 5, \"target\": 8}, {\"weight\": 9459, \"source\": 6, \"target\": 7}, {\"weight\": 7761, \"source\": 6, \"target\": 8}, {\"weight\": 2284, \"source\": 7, \"target\": 8}]}",
"id": 2884,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOC, AXU, BJR, DAC, STX, HRI, YXC, ULV, HFS\n- Travel distances (in kilometers) between each pair of airports:\nBOC to DAC: 16962\nBOC to ULV: 12017\nBOC to YXC: 5750\nBOC to STX: 2586\nBOC to AXU: 15109\nBOC to BJR: 14869\nBOC to HRI: 17829\nBOC to HFS: 10271\nAXU to DAC: 6295\nAXU to ULV: 6483\nAXU to YXC: 13659\nAXU to STX: 13048\nAXU to BJR: 426\nAXU to HRI: 6103\nAXU to HFS: 6719\nBJR to DAC: 6055\nBJR to ULV: 6243\nBJR to YXC: 13419\nBJR to STX: 12808\nBJR to HRI: 5863\nBJR to HFS: 6479\nDAC to ULV: 5625\nDAC to YXC: 12398\nDAC to STX: 14902\nDAC to HRI: 2334\nDAC to HFS: 7251\nSTX to ULV: 10003\nSTX to YXC: 5912\nSTX to HRI: 15572\nSTX to HFS: 8512\nHRI to ULV: 6714\nHRI to YXC: 14185\nHRI to HFS: 8260\nYXC to ULV: 9459\nYXC to HFS: 7761\nULV to HFS: 2284\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPN, GMA, MWX, YSJ, KCC, ZYL, CXI, CVU, CJM\n- Travel distances (in kilometers) between each pair of airports:\nUPN to ZYL: 15887\nUPN to YSJ: 6871\nUPN to GMA: 17501\nUPN to MWX: 12495\nUPN to CJM: 15950\nUPN to CXI: 8544\nUPN to KCC: 5016\nUPN to CVU: 10812\nGMA to ZYL: 9878\nGMA to YSJ: 12112\nGMA to MWX: 13323\nGMA to CJM: 11421\nGMA to CXI: 21394\nGMA to KCC: 16287\nGMA to CVU: 8376\nMWX to ZYL: 4040\nMWX to YSJ: 12323\nMWX to CJM: 3887\nMWX to CXI: 9739\nMWX to KCC: 10170\nMWX to CVU: 12152\nYSJ to ZYL: 12795\nYSJ to CJM: 14729\nYSJ to CXI: 10680\nYSJ to KCC: 5535\nYSJ to CVU: 5221\nKCC to ZYL: 13435\nKCC to CJM: 13565\nKCC to CXI: 7649\nKCC to CVU: 9531\nZYL to CJM: 2132\nZYL to CXI: 13499\nZYL to CVU: 11221\nCXI to CJM: 13164\nCXI to CVU: 14664\nCVU to CJM: 12916\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58328,
"style": "rule"
}
|
{
"exact_answer": 58328,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UPN\", \"id\": 0}, {\"name\": \"GMA\", \"id\": 1}, {\"name\": \"MWX\", \"id\": 2}, {\"name\": \"YSJ\", \"id\": 3}, {\"name\": \"KCC\", \"id\": 4}, {\"name\": \"ZYL\", \"id\": 5}, {\"name\": \"CXI\", \"id\": 6}, {\"name\": \"CVU\", \"id\": 7}, {\"name\": \"CJM\", \"id\": 8}], \"links\": [{\"weight\": 15887, \"source\": 0, \"target\": 5}, {\"weight\": 6871, \"source\": 0, \"target\": 3}, {\"weight\": 17501, \"source\": 0, \"target\": 1}, {\"weight\": 12495, \"source\": 0, \"target\": 2}, {\"weight\": 15950, \"source\": 0, \"target\": 8}, {\"weight\": 8544, \"source\": 0, \"target\": 6}, {\"weight\": 5016, \"source\": 0, \"target\": 4}, {\"weight\": 10812, \"source\": 0, \"target\": 7}, {\"weight\": 9878, \"source\": 1, \"target\": 5}, {\"weight\": 12112, \"source\": 1, \"target\": 3}, {\"weight\": 13323, \"source\": 1, \"target\": 2}, {\"weight\": 11421, \"source\": 1, \"target\": 8}, {\"weight\": 21394, \"source\": 1, \"target\": 6}, {\"weight\": 16287, \"source\": 1, \"target\": 4}, {\"weight\": 8376, \"source\": 1, \"target\": 7}, {\"weight\": 4040, \"source\": 2, \"target\": 5}, {\"weight\": 12323, \"source\": 2, \"target\": 3}, {\"weight\": 3887, \"source\": 2, \"target\": 8}, {\"weight\": 9739, \"source\": 2, \"target\": 6}, {\"weight\": 10170, \"source\": 2, \"target\": 4}, {\"weight\": 12152, \"source\": 2, \"target\": 7}, {\"weight\": 12795, \"source\": 3, \"target\": 5}, {\"weight\": 14729, \"source\": 3, \"target\": 8}, {\"weight\": 10680, \"source\": 3, \"target\": 6}, {\"weight\": 5535, \"source\": 3, \"target\": 4}, {\"weight\": 5221, \"source\": 3, \"target\": 7}, {\"weight\": 13435, \"source\": 4, \"target\": 5}, {\"weight\": 13565, \"source\": 4, \"target\": 8}, {\"weight\": 7649, \"source\": 4, \"target\": 6}, {\"weight\": 9531, \"source\": 4, \"target\": 7}, {\"weight\": 2132, \"source\": 5, \"target\": 8}, {\"weight\": 13499, \"source\": 5, \"target\": 6}, {\"weight\": 11221, \"source\": 5, \"target\": 7}, {\"weight\": 13164, \"source\": 6, \"target\": 8}, {\"weight\": 14664, \"source\": 6, \"target\": 7}, {\"weight\": 12916, \"source\": 7, \"target\": 8}]}",
"id": 2885,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPN, GMA, MWX, YSJ, KCC, ZYL, CXI, CVU, CJM\n- Travel distances (in kilometers) between each pair of airports:\nUPN to ZYL: 15887\nUPN to YSJ: 6871\nUPN to GMA: 17501\nUPN to MWX: 12495\nUPN to CJM: 15950\nUPN to CXI: 8544\nUPN to KCC: 5016\nUPN to CVU: 10812\nGMA to ZYL: 9878\nGMA to YSJ: 12112\nGMA to MWX: 13323\nGMA to CJM: 11421\nGMA to CXI: 21394\nGMA to KCC: 16287\nGMA to CVU: 8376\nMWX to ZYL: 4040\nMWX to YSJ: 12323\nMWX to CJM: 3887\nMWX to CXI: 9739\nMWX to KCC: 10170\nMWX to CVU: 12152\nYSJ to ZYL: 12795\nYSJ to CJM: 14729\nYSJ to CXI: 10680\nYSJ to KCC: 5535\nYSJ to CVU: 5221\nKCC to ZYL: 13435\nKCC to CJM: 13565\nKCC to CXI: 7649\nKCC to CVU: 9531\nZYL to CJM: 2132\nZYL to CXI: 13499\nZYL to CVU: 11221\nCXI to CJM: 13164\nCXI to CVU: 14664\nCVU to CJM: 12916\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IRA, RXS, NBS, CUF, ERL, CKY, FAR, OMS, DOH\n- Travel distances (in kilometers) between each pair of airports:\nIRA to RXS: 5942\nIRA to CKY: 19923\nIRA to CUF: 16619\nIRA to DOH: 12782\nIRA to FAR: 13533\nIRA to NBS: 8524\nIRA to ERL: 8943\nIRA to OMS: 11760\nRXS to CKY: 14958\nRXS to CUF: 11436\nRXS to DOH: 7660\nRXS to FAR: 13335\nRXS to NBS: 3741\nRXS to ERL: 3749\nRXS to OMS: 6577\nNBS to CKY: 13352\nNBS to CUF: 9696\nNBS to DOH: 7111\nNBS to FAR: 11004\nNBS to ERL: 1495\nNBS to OMS: 4535\nCUF to CKY: 4520\nCUF to DOH: 4597\nCUF to FAR: 8652\nCUF to ERL: 8957\nCUF to OMS: 5195\nERL to CKY: 12669\nERL to DOH: 6289\nERL to FAR: 11705\nERL to OMS: 4142\nCKY to DOH: 7316\nCKY to FAR: 8840\nCKY to OMS: 9108\nFAR to DOH: 11962\nFAR to OMS: 10945\nOMS to DOH: 4025\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50835,
"style": "rule"
}
|
{
"exact_answer": 50835,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IRA\", \"id\": 0}, {\"name\": \"RXS\", \"id\": 1}, {\"name\": \"NBS\", \"id\": 2}, {\"name\": \"CUF\", \"id\": 3}, {\"name\": \"ERL\", \"id\": 4}, {\"name\": \"CKY\", \"id\": 5}, {\"name\": \"FAR\", \"id\": 6}, {\"name\": \"OMS\", \"id\": 7}, {\"name\": \"DOH\", \"id\": 8}], \"links\": [{\"weight\": 5942, \"source\": 0, \"target\": 1}, {\"weight\": 19923, \"source\": 0, \"target\": 5}, {\"weight\": 16619, \"source\": 0, \"target\": 3}, {\"weight\": 12782, \"source\": 0, \"target\": 8}, {\"weight\": 13533, \"source\": 0, \"target\": 6}, {\"weight\": 8524, \"source\": 0, \"target\": 2}, {\"weight\": 8943, \"source\": 0, \"target\": 4}, {\"weight\": 11760, \"source\": 0, \"target\": 7}, {\"weight\": 14958, \"source\": 1, \"target\": 5}, {\"weight\": 11436, \"source\": 1, \"target\": 3}, {\"weight\": 7660, \"source\": 1, \"target\": 8}, {\"weight\": 13335, \"source\": 1, \"target\": 6}, {\"weight\": 3741, \"source\": 1, \"target\": 2}, {\"weight\": 3749, \"source\": 1, \"target\": 4}, {\"weight\": 6577, \"source\": 1, \"target\": 7}, {\"weight\": 13352, \"source\": 2, \"target\": 5}, {\"weight\": 9696, \"source\": 2, \"target\": 3}, {\"weight\": 7111, \"source\": 2, \"target\": 8}, {\"weight\": 11004, \"source\": 2, \"target\": 6}, {\"weight\": 1495, \"source\": 2, \"target\": 4}, {\"weight\": 4535, \"source\": 2, \"target\": 7}, {\"weight\": 4520, \"source\": 3, \"target\": 5}, {\"weight\": 4597, \"source\": 3, \"target\": 8}, {\"weight\": 8652, \"source\": 3, \"target\": 6}, {\"weight\": 8957, \"source\": 3, \"target\": 4}, {\"weight\": 5195, \"source\": 3, \"target\": 7}, {\"weight\": 12669, \"source\": 4, \"target\": 5}, {\"weight\": 6289, \"source\": 4, \"target\": 8}, {\"weight\": 11705, \"source\": 4, \"target\": 6}, {\"weight\": 4142, \"source\": 4, \"target\": 7}, {\"weight\": 7316, \"source\": 5, \"target\": 8}, {\"weight\": 8840, \"source\": 5, \"target\": 6}, {\"weight\": 9108, \"source\": 5, \"target\": 7}, {\"weight\": 11962, \"source\": 6, \"target\": 8}, {\"weight\": 10945, \"source\": 6, \"target\": 7}, {\"weight\": 4025, \"source\": 7, \"target\": 8}]}",
"id": 2886,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IRA, RXS, NBS, CUF, ERL, CKY, FAR, OMS, DOH\n- Travel distances (in kilometers) between each pair of airports:\nIRA to RXS: 5942\nIRA to CKY: 19923\nIRA to CUF: 16619\nIRA to DOH: 12782\nIRA to FAR: 13533\nIRA to NBS: 8524\nIRA to ERL: 8943\nIRA to OMS: 11760\nRXS to CKY: 14958\nRXS to CUF: 11436\nRXS to DOH: 7660\nRXS to FAR: 13335\nRXS to NBS: 3741\nRXS to ERL: 3749\nRXS to OMS: 6577\nNBS to CKY: 13352\nNBS to CUF: 9696\nNBS to DOH: 7111\nNBS to FAR: 11004\nNBS to ERL: 1495\nNBS to OMS: 4535\nCUF to CKY: 4520\nCUF to DOH: 4597\nCUF to FAR: 8652\nCUF to ERL: 8957\nCUF to OMS: 5195\nERL to CKY: 12669\nERL to DOH: 6289\nERL to FAR: 11705\nERL to OMS: 4142\nCKY to DOH: 7316\nCKY to FAR: 8840\nCKY to OMS: 9108\nFAR to DOH: 11962\nFAR to OMS: 10945\nOMS to DOH: 4025\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKE, MOL, GNM, MAD, KTM, KAO, HDG, EGX, TMI\n- Travel distances (in kilometers) between each pair of airports:\nSKE to HDG: 8782\nSKE to KTM: 7377\nSKE to MAD: 2557\nSKE to GNM: 9867\nSKE to KAO: 2025\nSKE to MOL: 566\nSKE to EGX: 10429\nSKE to TMI: 7562\nMOL to HDG: 8533\nMOL to KTM: 7085\nMOL to MAD: 2577\nMOL to GNM: 9887\nMOL to KAO: 1776\nMOL to EGX: 10449\nMOL to TMI: 7270\nGNM to HDG: 17751\nGNM to KTM: 15382\nGNM to MAD: 7431\nGNM to KAO: 11025\nGNM to EGX: 13745\nGNM to TMI: 15567\nMAD to HDG: 10320\nMAD to KTM: 8008\nMAD to KAO: 3612\nMAD to EGX: 11698\nMAD to TMI: 8193\nKTM to TMI: 185\nKTM to HDG: 3011\nKTM to KAO: 6702\nKTM to EGX: 14729\nKAO to HDG: 8087\nKAO to EGX: 11776\nKAO to TMI: 6887\nHDG to EGX: 12364\nHDG to TMI: 3196\nEGX to TMI: 14914\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48522,
"style": "rule"
}
|
{
"exact_answer": 48522,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SKE\", \"id\": 0}, {\"name\": \"MOL\", \"id\": 1}, {\"name\": \"GNM\", \"id\": 2}, {\"name\": \"MAD\", \"id\": 3}, {\"name\": \"KTM\", \"id\": 4}, {\"name\": \"KAO\", \"id\": 5}, {\"name\": \"HDG\", \"id\": 6}, {\"name\": \"EGX\", \"id\": 7}, {\"name\": \"TMI\", \"id\": 8}], \"links\": [{\"weight\": 8782, \"source\": 0, \"target\": 6}, {\"weight\": 7377, \"source\": 0, \"target\": 4}, {\"weight\": 2557, \"source\": 0, \"target\": 3}, {\"weight\": 9867, \"source\": 0, \"target\": 2}, {\"weight\": 2025, \"source\": 0, \"target\": 5}, {\"weight\": 566, \"source\": 0, \"target\": 1}, {\"weight\": 10429, \"source\": 0, \"target\": 7}, {\"weight\": 7562, \"source\": 0, \"target\": 8}, {\"weight\": 8533, \"source\": 1, \"target\": 6}, {\"weight\": 7085, \"source\": 1, \"target\": 4}, {\"weight\": 2577, \"source\": 1, \"target\": 3}, {\"weight\": 9887, \"source\": 1, \"target\": 2}, {\"weight\": 1776, \"source\": 1, \"target\": 5}, {\"weight\": 10449, \"source\": 1, \"target\": 7}, {\"weight\": 7270, \"source\": 1, \"target\": 8}, {\"weight\": 17751, \"source\": 2, \"target\": 6}, {\"weight\": 15382, \"source\": 2, \"target\": 4}, {\"weight\": 7431, \"source\": 2, \"target\": 3}, {\"weight\": 11025, \"source\": 2, \"target\": 5}, {\"weight\": 13745, \"source\": 2, \"target\": 7}, {\"weight\": 15567, \"source\": 2, \"target\": 8}, {\"weight\": 10320, \"source\": 3, \"target\": 6}, {\"weight\": 8008, \"source\": 3, \"target\": 4}, {\"weight\": 3612, \"source\": 3, \"target\": 5}, {\"weight\": 11698, \"source\": 3, \"target\": 7}, {\"weight\": 8193, \"source\": 3, \"target\": 8}, {\"weight\": 185, \"source\": 4, \"target\": 8}, {\"weight\": 3011, \"source\": 4, \"target\": 6}, {\"weight\": 6702, \"source\": 4, \"target\": 5}, {\"weight\": 14729, \"source\": 4, \"target\": 7}, {\"weight\": 8087, \"source\": 5, \"target\": 6}, {\"weight\": 11776, \"source\": 5, \"target\": 7}, {\"weight\": 6887, \"source\": 5, \"target\": 8}, {\"weight\": 12364, \"source\": 6, \"target\": 7}, {\"weight\": 3196, \"source\": 6, \"target\": 8}, {\"weight\": 14914, \"source\": 7, \"target\": 8}]}",
"id": 2887,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKE, MOL, GNM, MAD, KTM, KAO, HDG, EGX, TMI\n- Travel distances (in kilometers) between each pair of airports:\nSKE to HDG: 8782\nSKE to KTM: 7377\nSKE to MAD: 2557\nSKE to GNM: 9867\nSKE to KAO: 2025\nSKE to MOL: 566\nSKE to EGX: 10429\nSKE to TMI: 7562\nMOL to HDG: 8533\nMOL to KTM: 7085\nMOL to MAD: 2577\nMOL to GNM: 9887\nMOL to KAO: 1776\nMOL to EGX: 10449\nMOL to TMI: 7270\nGNM to HDG: 17751\nGNM to KTM: 15382\nGNM to MAD: 7431\nGNM to KAO: 11025\nGNM to EGX: 13745\nGNM to TMI: 15567\nMAD to HDG: 10320\nMAD to KTM: 8008\nMAD to KAO: 3612\nMAD to EGX: 11698\nMAD to TMI: 8193\nKTM to TMI: 185\nKTM to HDG: 3011\nKTM to KAO: 6702\nKTM to EGX: 14729\nKAO to HDG: 8087\nKAO to EGX: 11776\nKAO to TMI: 6887\nHDG to EGX: 12364\nHDG to TMI: 3196\nEGX to TMI: 14914\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMP, CZH, SCQ, PDG, ESC, PYC, LRT, MYQ, KUF\n- Travel distances (in kilometers) between each pair of airports:\nRMP to PYC: 8677\nRMP to KUF: 12541\nRMP to CZH: 7284\nRMP to LRT: 11103\nRMP to PDG: 15997\nRMP to ESC: 5929\nRMP to SCQ: 11226\nRMP to MYQ: 16561\nCZH to PYC: 1653\nCZH to KUF: 11345\nCZH to LRT: 9229\nCZH to PDG: 18059\nCZH to ESC: 3401\nCZH to SCQ: 8948\nCZH to MYQ: 16560\nSCQ to PYC: 9552\nSCQ to KUF: 4370\nSCQ to LRT: 1619\nSCQ to PDG: 11857\nSCQ to ESC: 7274\nSCQ to MYQ: 8864\nPDG to PYC: 19452\nPDG to KUF: 7760\nPDG to LRT: 11357\nPDG to ESC: 15973\nPDG to MYQ: 3429\nESC to PYC: 4645\nESC to KUF: 9142\nESC to LRT: 7310\nESC to MYQ: 14362\nPYC to KUF: 12412\nPYC to LRT: 10007\nPYC to MYQ: 17549\nLRT to KUF: 3758\nLRT to MYQ: 8432\nMYQ to KUF: 5402\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50740,
"style": "rule"
}
|
{
"exact_answer": 50740,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RMP\", \"id\": 0}, {\"name\": \"CZH\", \"id\": 1}, {\"name\": \"SCQ\", \"id\": 2}, {\"name\": \"PDG\", \"id\": 3}, {\"name\": \"ESC\", \"id\": 4}, {\"name\": \"PYC\", \"id\": 5}, {\"name\": \"LRT\", \"id\": 6}, {\"name\": \"MYQ\", \"id\": 7}, {\"name\": \"KUF\", \"id\": 8}], \"links\": [{\"weight\": 8677, \"source\": 0, \"target\": 5}, {\"weight\": 12541, \"source\": 0, \"target\": 8}, {\"weight\": 7284, \"source\": 0, \"target\": 1}, {\"weight\": 11103, \"source\": 0, \"target\": 6}, {\"weight\": 15997, \"source\": 0, \"target\": 3}, {\"weight\": 5929, \"source\": 0, \"target\": 4}, {\"weight\": 11226, \"source\": 0, \"target\": 2}, {\"weight\": 16561, \"source\": 0, \"target\": 7}, {\"weight\": 1653, \"source\": 1, \"target\": 5}, {\"weight\": 11345, \"source\": 1, \"target\": 8}, {\"weight\": 9229, \"source\": 1, \"target\": 6}, {\"weight\": 18059, \"source\": 1, \"target\": 3}, {\"weight\": 3401, \"source\": 1, \"target\": 4}, {\"weight\": 8948, \"source\": 1, \"target\": 2}, {\"weight\": 16560, \"source\": 1, \"target\": 7}, {\"weight\": 9552, \"source\": 2, \"target\": 5}, {\"weight\": 4370, \"source\": 2, \"target\": 8}, {\"weight\": 1619, \"source\": 2, \"target\": 6}, {\"weight\": 11857, \"source\": 2, \"target\": 3}, {\"weight\": 7274, \"source\": 2, \"target\": 4}, {\"weight\": 8864, \"source\": 2, \"target\": 7}, {\"weight\": 19452, \"source\": 3, \"target\": 5}, {\"weight\": 7760, \"source\": 3, \"target\": 8}, {\"weight\": 11357, \"source\": 3, \"target\": 6}, {\"weight\": 15973, \"source\": 3, \"target\": 4}, {\"weight\": 3429, \"source\": 3, \"target\": 7}, {\"weight\": 4645, \"source\": 4, \"target\": 5}, {\"weight\": 9142, \"source\": 4, \"target\": 8}, {\"weight\": 7310, \"source\": 4, \"target\": 6}, {\"weight\": 14362, \"source\": 4, \"target\": 7}, {\"weight\": 12412, \"source\": 5, \"target\": 8}, {\"weight\": 10007, \"source\": 5, \"target\": 6}, {\"weight\": 17549, \"source\": 5, \"target\": 7}, {\"weight\": 3758, \"source\": 6, \"target\": 8}, {\"weight\": 8432, \"source\": 6, \"target\": 7}, {\"weight\": 5402, \"source\": 7, \"target\": 8}]}",
"id": 2888,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMP, CZH, SCQ, PDG, ESC, PYC, LRT, MYQ, KUF\n- Travel distances (in kilometers) between each pair of airports:\nRMP to PYC: 8677\nRMP to KUF: 12541\nRMP to CZH: 7284\nRMP to LRT: 11103\nRMP to PDG: 15997\nRMP to ESC: 5929\nRMP to SCQ: 11226\nRMP to MYQ: 16561\nCZH to PYC: 1653\nCZH to KUF: 11345\nCZH to LRT: 9229\nCZH to PDG: 18059\nCZH to ESC: 3401\nCZH to SCQ: 8948\nCZH to MYQ: 16560\nSCQ to PYC: 9552\nSCQ to KUF: 4370\nSCQ to LRT: 1619\nSCQ to PDG: 11857\nSCQ to ESC: 7274\nSCQ to MYQ: 8864\nPDG to PYC: 19452\nPDG to KUF: 7760\nPDG to LRT: 11357\nPDG to ESC: 15973\nPDG to MYQ: 3429\nESC to PYC: 4645\nESC to KUF: 9142\nESC to LRT: 7310\nESC to MYQ: 14362\nPYC to KUF: 12412\nPYC to LRT: 10007\nPYC to MYQ: 17549\nLRT to KUF: 3758\nLRT to MYQ: 8432\nMYQ to KUF: 5402\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERF, BUQ, BQN, HKG, XGR, PCR, ELU, KKI, CUQ\n- Travel distances (in kilometers) between each pair of airports:\nERF to XGR: 7156\nERF to HKG: 10251\nERF to KKI: 11521\nERF to PCR: 10091\nERF to ELU: 2221\nERF to BQN: 8887\nERF to CUQ: 16141\nERF to BUQ: 9225\nBUQ to XGR: 14656\nBUQ to HKG: 11105\nBUQ to KKI: 19387\nBUQ to PCR: 13208\nBUQ to ELU: 8406\nBUQ to BQN: 15564\nBUQ to CUQ: 12870\nBQN to XGR: 4685\nBQN to HKG: 15511\nBQN to KKI: 8640\nBQN to PCR: 4794\nBQN to ELU: 9506\nBQN to CUQ: 18582\nHKG to XGR: 14470\nHKG to KKI: 13439\nHKG to PCR: 17637\nHKG to ELU: 10723\nHKG to CUQ: 6016\nXGR to KKI: 7286\nXGR to PCR: 6892\nXGR to ELU: 7871\nXGR to CUQ: 17838\nPCR to KKI: 10253\nPCR to ELU: 9866\nPCR to CUQ: 18722\nELU to KKI: 12804\nELU to CUQ: 16739\nKKI to CUQ: 14537\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69141,
"style": "rule"
}
|
{
"exact_answer": 69141,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERF\", \"id\": 0}, {\"name\": \"BUQ\", \"id\": 1}, {\"name\": \"BQN\", \"id\": 2}, {\"name\": \"HKG\", \"id\": 3}, {\"name\": \"XGR\", \"id\": 4}, {\"name\": \"PCR\", \"id\": 5}, {\"name\": \"ELU\", \"id\": 6}, {\"name\": \"KKI\", \"id\": 7}, {\"name\": \"CUQ\", \"id\": 8}], \"links\": [{\"weight\": 7156, \"source\": 0, \"target\": 4}, {\"weight\": 10251, \"source\": 0, \"target\": 3}, {\"weight\": 11521, \"source\": 0, \"target\": 7}, {\"weight\": 10091, \"source\": 0, \"target\": 5}, {\"weight\": 2221, \"source\": 0, \"target\": 6}, {\"weight\": 8887, \"source\": 0, \"target\": 2}, {\"weight\": 16141, \"source\": 0, \"target\": 8}, {\"weight\": 9225, \"source\": 0, \"target\": 1}, {\"weight\": 14656, \"source\": 1, \"target\": 4}, {\"weight\": 11105, \"source\": 1, \"target\": 3}, {\"weight\": 19387, \"source\": 1, \"target\": 7}, {\"weight\": 13208, \"source\": 1, \"target\": 5}, {\"weight\": 8406, \"source\": 1, \"target\": 6}, {\"weight\": 15564, \"source\": 1, \"target\": 2}, {\"weight\": 12870, \"source\": 1, \"target\": 8}, {\"weight\": 4685, \"source\": 2, \"target\": 4}, {\"weight\": 15511, \"source\": 2, \"target\": 3}, {\"weight\": 8640, \"source\": 2, \"target\": 7}, {\"weight\": 4794, \"source\": 2, \"target\": 5}, {\"weight\": 9506, \"source\": 2, \"target\": 6}, {\"weight\": 18582, \"source\": 2, \"target\": 8}, {\"weight\": 14470, \"source\": 3, \"target\": 4}, {\"weight\": 13439, \"source\": 3, \"target\": 7}, {\"weight\": 17637, \"source\": 3, \"target\": 5}, {\"weight\": 10723, \"source\": 3, \"target\": 6}, {\"weight\": 6016, \"source\": 3, \"target\": 8}, {\"weight\": 7286, \"source\": 4, \"target\": 7}, {\"weight\": 6892, \"source\": 4, \"target\": 5}, {\"weight\": 7871, \"source\": 4, \"target\": 6}, {\"weight\": 17838, \"source\": 4, \"target\": 8}, {\"weight\": 10253, \"source\": 5, \"target\": 7}, {\"weight\": 9866, \"source\": 5, \"target\": 6}, {\"weight\": 18722, \"source\": 5, \"target\": 8}, {\"weight\": 12804, \"source\": 6, \"target\": 7}, {\"weight\": 16739, \"source\": 6, \"target\": 8}, {\"weight\": 14537, \"source\": 7, \"target\": 8}]}",
"id": 2889,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERF, BUQ, BQN, HKG, XGR, PCR, ELU, KKI, CUQ\n- Travel distances (in kilometers) between each pair of airports:\nERF to XGR: 7156\nERF to HKG: 10251\nERF to KKI: 11521\nERF to PCR: 10091\nERF to ELU: 2221\nERF to BQN: 8887\nERF to CUQ: 16141\nERF to BUQ: 9225\nBUQ to XGR: 14656\nBUQ to HKG: 11105\nBUQ to KKI: 19387\nBUQ to PCR: 13208\nBUQ to ELU: 8406\nBUQ to BQN: 15564\nBUQ to CUQ: 12870\nBQN to XGR: 4685\nBQN to HKG: 15511\nBQN to KKI: 8640\nBQN to PCR: 4794\nBQN to ELU: 9506\nBQN to CUQ: 18582\nHKG to XGR: 14470\nHKG to KKI: 13439\nHKG to PCR: 17637\nHKG to ELU: 10723\nHKG to CUQ: 6016\nXGR to KKI: 7286\nXGR to PCR: 6892\nXGR to ELU: 7871\nXGR to CUQ: 17838\nPCR to KKI: 10253\nPCR to ELU: 9866\nPCR to CUQ: 18722\nELU to KKI: 12804\nELU to CUQ: 16739\nKKI to CUQ: 14537\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VBV, ORH, GST, ERN, MDU, DIW, KGX, MKM\n- Travel distances (in kilometers) between each pair of airports:\nPPQ to KGX: 12656\nPPQ to ERN: 16595\nPPQ to ORH: 16238\nPPQ to VBV: 2847\nPPQ to GST: 12976\nPPQ to MKM: 8802\nPPQ to MDU: 5353\nPPQ to DIW: 11563\nVBV to KGX: 10637\nVBV to ERN: 17862\nVBV to ORH: 14606\nVBV to GST: 10957\nVBV to MKM: 8811\nVBV to MDU: 4321\nVBV to DIW: 11739\nORH to KGX: 8569\nORH to ERN: 7142\nORH to GST: 7387\nORH to MKM: 18093\nORH to MDU: 18135\nORH to DIW: 17599\nGST to KGX: 1642\nGST to ERN: 10981\nGST to MKM: 13865\nGST to MDU: 14486\nGST to DIW: 15639\nERN to KGX: 12196\nERN to MKM: 20946\nERN to MDU: 21082\nERN to DIW: 18068\nMDU to KGX: 14166\nMDU to MKM: 5562\nMDU to DIW: 8490\nDIW to KGX: 17099\nDIW to MKM: 3955\nKGX to MKM: 15289\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62593,
"style": "rule"
}
|
{
"exact_answer": 62593,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PPQ\", \"id\": 0}, {\"name\": \"VBV\", \"id\": 1}, {\"name\": \"ORH\", \"id\": 2}, {\"name\": \"GST\", \"id\": 3}, {\"name\": \"ERN\", \"id\": 4}, {\"name\": \"MDU\", \"id\": 5}, {\"name\": \"DIW\", \"id\": 6}, {\"name\": \"KGX\", \"id\": 7}, {\"name\": \"MKM\", \"id\": 8}], \"links\": [{\"weight\": 12656, \"source\": 0, \"target\": 7}, {\"weight\": 16595, \"source\": 0, \"target\": 4}, {\"weight\": 16238, \"source\": 0, \"target\": 2}, {\"weight\": 2847, \"source\": 0, \"target\": 1}, {\"weight\": 12976, \"source\": 0, \"target\": 3}, {\"weight\": 8802, \"source\": 0, \"target\": 8}, {\"weight\": 5353, \"source\": 0, \"target\": 5}, {\"weight\": 11563, \"source\": 0, \"target\": 6}, {\"weight\": 10637, \"source\": 1, \"target\": 7}, {\"weight\": 17862, \"source\": 1, \"target\": 4}, {\"weight\": 14606, \"source\": 1, \"target\": 2}, {\"weight\": 10957, \"source\": 1, \"target\": 3}, {\"weight\": 8811, \"source\": 1, \"target\": 8}, {\"weight\": 4321, \"source\": 1, \"target\": 5}, {\"weight\": 11739, \"source\": 1, \"target\": 6}, {\"weight\": 8569, \"source\": 2, \"target\": 7}, {\"weight\": 7142, \"source\": 2, \"target\": 4}, {\"weight\": 7387, \"source\": 2, \"target\": 3}, {\"weight\": 18093, \"source\": 2, \"target\": 8}, {\"weight\": 18135, \"source\": 2, \"target\": 5}, {\"weight\": 17599, \"source\": 2, \"target\": 6}, {\"weight\": 1642, \"source\": 3, \"target\": 7}, {\"weight\": 10981, \"source\": 3, \"target\": 4}, {\"weight\": 13865, \"source\": 3, \"target\": 8}, {\"weight\": 14486, \"source\": 3, \"target\": 5}, {\"weight\": 15639, \"source\": 3, \"target\": 6}, {\"weight\": 12196, \"source\": 4, \"target\": 7}, {\"weight\": 20946, \"source\": 4, \"target\": 8}, {\"weight\": 21082, \"source\": 4, \"target\": 5}, {\"weight\": 18068, \"source\": 4, \"target\": 6}, {\"weight\": 14166, \"source\": 5, \"target\": 7}, {\"weight\": 5562, \"source\": 5, \"target\": 8}, {\"weight\": 8490, \"source\": 5, \"target\": 6}, {\"weight\": 17099, \"source\": 6, \"target\": 7}, {\"weight\": 3955, \"source\": 6, \"target\": 8}, {\"weight\": 15289, \"source\": 7, \"target\": 8}]}",
"id": 2890,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VBV, ORH, GST, ERN, MDU, DIW, KGX, MKM\n- Travel distances (in kilometers) between each pair of airports:\nPPQ to KGX: 12656\nPPQ to ERN: 16595\nPPQ to ORH: 16238\nPPQ to VBV: 2847\nPPQ to GST: 12976\nPPQ to MKM: 8802\nPPQ to MDU: 5353\nPPQ to DIW: 11563\nVBV to KGX: 10637\nVBV to ERN: 17862\nVBV to ORH: 14606\nVBV to GST: 10957\nVBV to MKM: 8811\nVBV to MDU: 4321\nVBV to DIW: 11739\nORH to KGX: 8569\nORH to ERN: 7142\nORH to GST: 7387\nORH to MKM: 18093\nORH to MDU: 18135\nORH to DIW: 17599\nGST to KGX: 1642\nGST to ERN: 10981\nGST to MKM: 13865\nGST to MDU: 14486\nGST to DIW: 15639\nERN to KGX: 12196\nERN to MKM: 20946\nERN to MDU: 21082\nERN to DIW: 18068\nMDU to KGX: 14166\nMDU to MKM: 5562\nMDU to DIW: 8490\nDIW to KGX: 17099\nDIW to MKM: 3955\nKGX to MKM: 15289\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNI, KKJ, BKK, BSR, BNX, GTO, WUZ, JOI, CJU\n- Travel distances (in kilometers) between each pair of airports:\nPNI to BKK: 6477\nPNI to CJU: 4754\nPNI to KKJ: 5334\nPNI to JOI: 18624\nPNI to BSR: 11997\nPNI to WUZ: 5656\nPNI to GTO: 7492\nPNI to BNX: 13498\nKKJ to BKK: 5410\nKKJ to CJU: 2061\nKKJ to JOI: 19801\nKKJ to BSR: 9703\nKKJ to WUZ: 4063\nKKJ to GTO: 7018\nKKJ to BNX: 10578\nBKK to CJU: 3409\nBKK to JOI: 16823\nBKK to BSR: 5861\nBKK to WUZ: 1593\nBKK to GTO: 3993\nBKK to BNX: 8550\nBSR to CJU: 7919\nBSR to JOI: 12265\nBSR to WUZ: 6633\nBSR to GTO: 9375\nBSR to BNX: 3100\nBNX to CJU: 8900\nBNX to JOI: 10725\nBNX to WUZ: 8849\nBNX to GTO: 12284\nGTO to CJU: 5370\nGTO to JOI: 19061\nGTO to WUZ: 4856\nWUZ to CJU: 2085\nWUZ to JOI: 18285\nJOI to CJU: 19105\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56639,
"style": "rule"
}
|
{
"exact_answer": 56639,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PNI\", \"id\": 0}, {\"name\": \"KKJ\", \"id\": 1}, {\"name\": \"BKK\", \"id\": 2}, {\"name\": \"BSR\", \"id\": 3}, {\"name\": \"BNX\", \"id\": 4}, {\"name\": \"GTO\", \"id\": 5}, {\"name\": \"WUZ\", \"id\": 6}, {\"name\": \"JOI\", \"id\": 7}, {\"name\": \"CJU\", \"id\": 8}], \"links\": [{\"weight\": 6477, \"source\": 0, \"target\": 2}, {\"weight\": 4754, \"source\": 0, \"target\": 8}, {\"weight\": 5334, \"source\": 0, \"target\": 1}, {\"weight\": 18624, \"source\": 0, \"target\": 7}, {\"weight\": 11997, \"source\": 0, \"target\": 3}, {\"weight\": 5656, \"source\": 0, \"target\": 6}, {\"weight\": 7492, \"source\": 0, \"target\": 5}, {\"weight\": 13498, \"source\": 0, \"target\": 4}, {\"weight\": 5410, \"source\": 1, \"target\": 2}, {\"weight\": 2061, \"source\": 1, \"target\": 8}, {\"weight\": 19801, \"source\": 1, \"target\": 7}, {\"weight\": 9703, \"source\": 1, \"target\": 3}, {\"weight\": 4063, \"source\": 1, \"target\": 6}, {\"weight\": 7018, \"source\": 1, \"target\": 5}, {\"weight\": 10578, \"source\": 1, \"target\": 4}, {\"weight\": 3409, \"source\": 2, \"target\": 8}, {\"weight\": 16823, \"source\": 2, \"target\": 7}, {\"weight\": 5861, \"source\": 2, \"target\": 3}, {\"weight\": 1593, \"source\": 2, \"target\": 6}, {\"weight\": 3993, \"source\": 2, \"target\": 5}, {\"weight\": 8550, \"source\": 2, \"target\": 4}, {\"weight\": 7919, \"source\": 3, \"target\": 8}, {\"weight\": 12265, \"source\": 3, \"target\": 7}, {\"weight\": 6633, \"source\": 3, \"target\": 6}, {\"weight\": 9375, \"source\": 3, \"target\": 5}, {\"weight\": 3100, \"source\": 3, \"target\": 4}, {\"weight\": 8900, \"source\": 4, \"target\": 8}, {\"weight\": 10725, \"source\": 4, \"target\": 7}, {\"weight\": 8849, \"source\": 4, \"target\": 6}, {\"weight\": 12284, \"source\": 4, \"target\": 5}, {\"weight\": 5370, \"source\": 5, \"target\": 8}, {\"weight\": 19061, \"source\": 5, \"target\": 7}, {\"weight\": 4856, \"source\": 5, \"target\": 6}, {\"weight\": 2085, \"source\": 6, \"target\": 8}, {\"weight\": 18285, \"source\": 6, \"target\": 7}, {\"weight\": 19105, \"source\": 7, \"target\": 8}]}",
"id": 2891,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNI, KKJ, BKK, BSR, BNX, GTO, WUZ, JOI, CJU\n- Travel distances (in kilometers) between each pair of airports:\nPNI to BKK: 6477\nPNI to CJU: 4754\nPNI to KKJ: 5334\nPNI to JOI: 18624\nPNI to BSR: 11997\nPNI to WUZ: 5656\nPNI to GTO: 7492\nPNI to BNX: 13498\nKKJ to BKK: 5410\nKKJ to CJU: 2061\nKKJ to JOI: 19801\nKKJ to BSR: 9703\nKKJ to WUZ: 4063\nKKJ to GTO: 7018\nKKJ to BNX: 10578\nBKK to CJU: 3409\nBKK to JOI: 16823\nBKK to BSR: 5861\nBKK to WUZ: 1593\nBKK to GTO: 3993\nBKK to BNX: 8550\nBSR to CJU: 7919\nBSR to JOI: 12265\nBSR to WUZ: 6633\nBSR to GTO: 9375\nBSR to BNX: 3100\nBNX to CJU: 8900\nBNX to JOI: 10725\nBNX to WUZ: 8849\nBNX to GTO: 12284\nGTO to CJU: 5370\nGTO to JOI: 19061\nGTO to WUZ: 4856\nWUZ to CJU: 2085\nWUZ to JOI: 18285\nJOI to CJU: 19105\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, PLJ, EDO, RBQ, VCS, MBI, YTE, MMJ, AMM\n- Travel distances (in kilometers) between each pair of airports:\nAAX to YTE: 11073\nAAX to AMM: 11428\nAAX to PLJ: 7064\nAAX to MMJ: 19500\nAAX to EDO: 11178\nAAX to MBI: 11236\nAAX to VCS: 18033\nAAX to RBQ: 3427\nPLJ to YTE: 5904\nPLJ to AMM: 12058\nPLJ to MMJ: 13925\nPLJ to EDO: 11236\nPLJ to MBI: 16043\nPLJ to VCS: 16814\nPLJ to RBQ: 4959\nEDO to YTE: 9382\nEDO to AMM: 1438\nEDO to MMJ: 9567\nEDO to MBI: 6378\nEDO to VCS: 8682\nEDO to RBQ: 12708\nRBQ to YTE: 9693\nRBQ to AMM: 13361\nRBQ to MMJ: 18389\nRBQ to MBI: 13180\nRBQ to VCS: 19874\nVCS to YTE: 15752\nVCS to AMM: 7795\nVCS to MMJ: 4481\nVCS to MBI: 9518\nMBI to YTE: 14767\nMBI to AMM: 5007\nMBI to MMJ: 12485\nYTE to AMM: 10270\nYTE to MMJ: 12721\nMMJ to AMM: 9312\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57855,
"style": "rule"
}
|
{
"exact_answer": 57855,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAX\", \"id\": 0}, {\"name\": \"PLJ\", \"id\": 1}, {\"name\": \"EDO\", \"id\": 2}, {\"name\": \"RBQ\", \"id\": 3}, {\"name\": \"VCS\", \"id\": 4}, {\"name\": \"MBI\", \"id\": 5}, {\"name\": \"YTE\", \"id\": 6}, {\"name\": \"MMJ\", \"id\": 7}, {\"name\": \"AMM\", \"id\": 8}], \"links\": [{\"weight\": 11073, \"source\": 0, \"target\": 6}, {\"weight\": 11428, \"source\": 0, \"target\": 8}, {\"weight\": 7064, \"source\": 0, \"target\": 1}, {\"weight\": 19500, \"source\": 0, \"target\": 7}, {\"weight\": 11178, \"source\": 0, \"target\": 2}, {\"weight\": 11236, \"source\": 0, \"target\": 5}, {\"weight\": 18033, \"source\": 0, \"target\": 4}, {\"weight\": 3427, \"source\": 0, \"target\": 3}, {\"weight\": 5904, \"source\": 1, \"target\": 6}, {\"weight\": 12058, \"source\": 1, \"target\": 8}, {\"weight\": 13925, \"source\": 1, \"target\": 7}, {\"weight\": 11236, \"source\": 1, \"target\": 2}, {\"weight\": 16043, \"source\": 1, \"target\": 5}, {\"weight\": 16814, \"source\": 1, \"target\": 4}, {\"weight\": 4959, \"source\": 1, \"target\": 3}, {\"weight\": 9382, \"source\": 2, \"target\": 6}, {\"weight\": 1438, \"source\": 2, \"target\": 8}, {\"weight\": 9567, \"source\": 2, \"target\": 7}, {\"weight\": 6378, \"source\": 2, \"target\": 5}, {\"weight\": 8682, \"source\": 2, \"target\": 4}, {\"weight\": 12708, \"source\": 2, \"target\": 3}, {\"weight\": 9693, \"source\": 3, \"target\": 6}, {\"weight\": 13361, \"source\": 3, \"target\": 8}, {\"weight\": 18389, \"source\": 3, \"target\": 7}, {\"weight\": 13180, \"source\": 3, \"target\": 5}, {\"weight\": 19874, \"source\": 3, \"target\": 4}, {\"weight\": 15752, \"source\": 4, \"target\": 6}, {\"weight\": 7795, \"source\": 4, \"target\": 8}, {\"weight\": 4481, \"source\": 4, \"target\": 7}, {\"weight\": 9518, \"source\": 4, \"target\": 5}, {\"weight\": 14767, \"source\": 5, \"target\": 6}, {\"weight\": 5007, \"source\": 5, \"target\": 8}, {\"weight\": 12485, \"source\": 5, \"target\": 7}, {\"weight\": 10270, \"source\": 6, \"target\": 8}, {\"weight\": 12721, \"source\": 6, \"target\": 7}, {\"weight\": 9312, \"source\": 7, \"target\": 8}]}",
"id": 2892,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, PLJ, EDO, RBQ, VCS, MBI, YTE, MMJ, AMM\n- Travel distances (in kilometers) between each pair of airports:\nAAX to YTE: 11073\nAAX to AMM: 11428\nAAX to PLJ: 7064\nAAX to MMJ: 19500\nAAX to EDO: 11178\nAAX to MBI: 11236\nAAX to VCS: 18033\nAAX to RBQ: 3427\nPLJ to YTE: 5904\nPLJ to AMM: 12058\nPLJ to MMJ: 13925\nPLJ to EDO: 11236\nPLJ to MBI: 16043\nPLJ to VCS: 16814\nPLJ to RBQ: 4959\nEDO to YTE: 9382\nEDO to AMM: 1438\nEDO to MMJ: 9567\nEDO to MBI: 6378\nEDO to VCS: 8682\nEDO to RBQ: 12708\nRBQ to YTE: 9693\nRBQ to AMM: 13361\nRBQ to MMJ: 18389\nRBQ to MBI: 13180\nRBQ to VCS: 19874\nVCS to YTE: 15752\nVCS to AMM: 7795\nVCS to MMJ: 4481\nVCS to MBI: 9518\nMBI to YTE: 14767\nMBI to AMM: 5007\nMBI to MMJ: 12485\nYTE to AMM: 10270\nYTE to MMJ: 12721\nMMJ to AMM: 9312\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HMI, SWF, MWZ, BDU, ALA, PAT, CRM, ORB\n- Travel distances (in kilometers) between each pair of airports:\nGOM to CRM: 13855\nGOM to PAT: 9853\nGOM to ALA: 9905\nGOM to SWF: 12202\nGOM to HMI: 11212\nGOM to BDU: 9979\nGOM to ORB: 9213\nGOM to MWZ: 4456\nHMI to CRM: 4634\nHMI to PAT: 3739\nHMI to ALA: 1355\nHMI to SWF: 12068\nHMI to BDU: 6890\nHMI to ORB: 6271\nHMI to MWZ: 8142\nSWF to CRM: 14436\nSWF to PAT: 12952\nSWF to ALA: 10860\nSWF to BDU: 7308\nSWF to ORB: 7002\nSWF to MWZ: 13091\nMWZ to CRM: 10321\nMWZ to PAT: 6442\nMWZ to ALA: 6833\nMWZ to BDU: 8733\nMWZ to ORB: 7603\nBDU to CRM: 11212\nBDU to PAT: 7867\nBDU to ALA: 5715\nBDU to ORB: 1828\nALA to CRM: 5708\nALA to PAT: 2499\nALA to ORB: 5150\nPAT to CRM: 4680\nPAT to ORB: 7239\nCRM to ORB: 10679\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48055,
"style": "rule"
}
|
{
"exact_answer": 48055,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOM\", \"id\": 0}, {\"name\": \"HMI\", \"id\": 1}, {\"name\": \"SWF\", \"id\": 2}, {\"name\": \"MWZ\", \"id\": 3}, {\"name\": \"BDU\", \"id\": 4}, {\"name\": \"ALA\", \"id\": 5}, {\"name\": \"PAT\", \"id\": 6}, {\"name\": \"CRM\", \"id\": 7}, {\"name\": \"ORB\", \"id\": 8}], \"links\": [{\"weight\": 13855, \"source\": 0, \"target\": 7}, {\"weight\": 9853, \"source\": 0, \"target\": 6}, {\"weight\": 9905, \"source\": 0, \"target\": 5}, {\"weight\": 12202, \"source\": 0, \"target\": 2}, {\"weight\": 11212, \"source\": 0, \"target\": 1}, {\"weight\": 9979, \"source\": 0, \"target\": 4}, {\"weight\": 9213, \"source\": 0, \"target\": 8}, {\"weight\": 4456, \"source\": 0, \"target\": 3}, {\"weight\": 4634, \"source\": 1, \"target\": 7}, {\"weight\": 3739, \"source\": 1, \"target\": 6}, {\"weight\": 1355, \"source\": 1, \"target\": 5}, {\"weight\": 12068, \"source\": 1, \"target\": 2}, {\"weight\": 6890, \"source\": 1, \"target\": 4}, {\"weight\": 6271, \"source\": 1, \"target\": 8}, {\"weight\": 8142, \"source\": 1, \"target\": 3}, {\"weight\": 14436, \"source\": 2, \"target\": 7}, {\"weight\": 12952, \"source\": 2, \"target\": 6}, {\"weight\": 10860, \"source\": 2, \"target\": 5}, {\"weight\": 7308, \"source\": 2, \"target\": 4}, {\"weight\": 7002, \"source\": 2, \"target\": 8}, {\"weight\": 13091, \"source\": 2, \"target\": 3}, {\"weight\": 10321, \"source\": 3, \"target\": 7}, {\"weight\": 6442, \"source\": 3, \"target\": 6}, {\"weight\": 6833, \"source\": 3, \"target\": 5}, {\"weight\": 8733, \"source\": 3, \"target\": 4}, {\"weight\": 7603, \"source\": 3, \"target\": 8}, {\"weight\": 11212, \"source\": 4, \"target\": 7}, {\"weight\": 7867, \"source\": 4, \"target\": 6}, {\"weight\": 5715, \"source\": 4, \"target\": 5}, {\"weight\": 1828, \"source\": 4, \"target\": 8}, {\"weight\": 5708, \"source\": 5, \"target\": 7}, {\"weight\": 2499, \"source\": 5, \"target\": 6}, {\"weight\": 5150, \"source\": 5, \"target\": 8}, {\"weight\": 4680, \"source\": 6, \"target\": 7}, {\"weight\": 7239, \"source\": 6, \"target\": 8}, {\"weight\": 10679, \"source\": 7, \"target\": 8}]}",
"id": 2893,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HMI, SWF, MWZ, BDU, ALA, PAT, CRM, ORB\n- Travel distances (in kilometers) between each pair of airports:\nGOM to CRM: 13855\nGOM to PAT: 9853\nGOM to ALA: 9905\nGOM to SWF: 12202\nGOM to HMI: 11212\nGOM to BDU: 9979\nGOM to ORB: 9213\nGOM to MWZ: 4456\nHMI to CRM: 4634\nHMI to PAT: 3739\nHMI to ALA: 1355\nHMI to SWF: 12068\nHMI to BDU: 6890\nHMI to ORB: 6271\nHMI to MWZ: 8142\nSWF to CRM: 14436\nSWF to PAT: 12952\nSWF to ALA: 10860\nSWF to BDU: 7308\nSWF to ORB: 7002\nSWF to MWZ: 13091\nMWZ to CRM: 10321\nMWZ to PAT: 6442\nMWZ to ALA: 6833\nMWZ to BDU: 8733\nMWZ to ORB: 7603\nBDU to CRM: 11212\nBDU to PAT: 7867\nBDU to ALA: 5715\nBDU to ORB: 1828\nALA to CRM: 5708\nALA to PAT: 2499\nALA to ORB: 5150\nPAT to CRM: 4680\nPAT to ORB: 7239\nCRM to ORB: 10679\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ATY, VPS, MAF, PGK, RIW, MSA, YKF, JLR\n- Travel distances (in kilometers) between each pair of airports:\nFOE to VPS: 2115\nFOE to MAF: 2523\nFOE to YKF: 1373\nFOE to JLR: 13425\nFOE to ATY: 1582\nFOE to PGK: 16446\nFOE to MSA: 2633\nFOE to RIW: 2637\nATY to VPS: 2170\nATY to MAF: 1781\nATY to YKF: 1481\nATY to JLR: 13533\nATY to PGK: 15877\nATY to MSA: 1703\nATY to RIW: 1348\nVPS to MAF: 1525\nVPS to YKF: 2014\nVPS to JLR: 13925\nVPS to PGK: 17087\nVPS to MSA: 3143\nVPS to RIW: 2536\nMAF to YKF: 2422\nMAF to JLR: 14474\nMAF to PGK: 16169\nMAF to MSA: 2927\nMAF to RIW: 1383\nPGK to YKF: 16345\nPGK to JLR: 5385\nPGK to MSA: 15911\nPGK to RIW: 15736\nRIW to YKF: 2536\nRIW to JLR: 14535\nRIW to MSA: 2494\nMSA to YKF: 2532\nMSA to JLR: 13882\nYKF to JLR: 13324\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44067,
"style": "rule"
}
|
{
"exact_answer": 44067,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FOE\", \"id\": 0}, {\"name\": \"ATY\", \"id\": 1}, {\"name\": \"VPS\", \"id\": 2}, {\"name\": \"MAF\", \"id\": 3}, {\"name\": \"PGK\", \"id\": 4}, {\"name\": \"RIW\", \"id\": 5}, {\"name\": \"MSA\", \"id\": 6}, {\"name\": \"YKF\", \"id\": 7}, {\"name\": \"JLR\", \"id\": 8}], \"links\": [{\"weight\": 2115, \"source\": 0, \"target\": 2}, {\"weight\": 2523, \"source\": 0, \"target\": 3}, {\"weight\": 1373, \"source\": 0, \"target\": 7}, {\"weight\": 13425, \"source\": 0, \"target\": 8}, {\"weight\": 1582, \"source\": 0, \"target\": 1}, {\"weight\": 16446, \"source\": 0, \"target\": 4}, {\"weight\": 2633, \"source\": 0, \"target\": 6}, {\"weight\": 2637, \"source\": 0, \"target\": 5}, {\"weight\": 2170, \"source\": 1, \"target\": 2}, {\"weight\": 1781, \"source\": 1, \"target\": 3}, {\"weight\": 1481, \"source\": 1, \"target\": 7}, {\"weight\": 13533, \"source\": 1, \"target\": 8}, {\"weight\": 15877, \"source\": 1, \"target\": 4}, {\"weight\": 1703, \"source\": 1, \"target\": 6}, {\"weight\": 1348, \"source\": 1, \"target\": 5}, {\"weight\": 1525, \"source\": 2, \"target\": 3}, {\"weight\": 2014, \"source\": 2, \"target\": 7}, {\"weight\": 13925, \"source\": 2, \"target\": 8}, {\"weight\": 17087, \"source\": 2, \"target\": 4}, {\"weight\": 3143, \"source\": 2, \"target\": 6}, {\"weight\": 2536, \"source\": 2, \"target\": 5}, {\"weight\": 2422, \"source\": 3, \"target\": 7}, {\"weight\": 14474, \"source\": 3, \"target\": 8}, {\"weight\": 16169, \"source\": 3, \"target\": 4}, {\"weight\": 2927, \"source\": 3, \"target\": 6}, {\"weight\": 1383, \"source\": 3, \"target\": 5}, {\"weight\": 16345, \"source\": 4, \"target\": 7}, {\"weight\": 5385, \"source\": 4, \"target\": 8}, {\"weight\": 15911, \"source\": 4, \"target\": 6}, {\"weight\": 15736, \"source\": 4, \"target\": 5}, {\"weight\": 2536, \"source\": 5, \"target\": 7}, {\"weight\": 14535, \"source\": 5, \"target\": 8}, {\"weight\": 2494, \"source\": 5, \"target\": 6}, {\"weight\": 2532, \"source\": 6, \"target\": 7}, {\"weight\": 13882, \"source\": 6, \"target\": 8}, {\"weight\": 13324, \"source\": 7, \"target\": 8}]}",
"id": 2894,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ATY, VPS, MAF, PGK, RIW, MSA, YKF, JLR\n- Travel distances (in kilometers) between each pair of airports:\nFOE to VPS: 2115\nFOE to MAF: 2523\nFOE to YKF: 1373\nFOE to JLR: 13425\nFOE to ATY: 1582\nFOE to PGK: 16446\nFOE to MSA: 2633\nFOE to RIW: 2637\nATY to VPS: 2170\nATY to MAF: 1781\nATY to YKF: 1481\nATY to JLR: 13533\nATY to PGK: 15877\nATY to MSA: 1703\nATY to RIW: 1348\nVPS to MAF: 1525\nVPS to YKF: 2014\nVPS to JLR: 13925\nVPS to PGK: 17087\nVPS to MSA: 3143\nVPS to RIW: 2536\nMAF to YKF: 2422\nMAF to JLR: 14474\nMAF to PGK: 16169\nMAF to MSA: 2927\nMAF to RIW: 1383\nPGK to YKF: 16345\nPGK to JLR: 5385\nPGK to MSA: 15911\nPGK to RIW: 15736\nRIW to YKF: 2536\nRIW to JLR: 14535\nRIW to MSA: 2494\nMSA to YKF: 2532\nMSA to JLR: 13882\nYKF to JLR: 13324\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RUT, OER, AWZ, ROS, PIK, TCR, BUW, HLZ, PGU\n- Travel distances (in kilometers) between each pair of airports:\nRUT to OER: 6641\nRUT to ROS: 9134\nRUT to AWZ: 10263\nRUT to PGU: 10674\nRUT to PIK: 5262\nRUT to BUW: 16819\nRUT to HLZ: 14987\nRUT to TCR: 14023\nOER to ROS: 13092\nOER to AWZ: 4711\nOER to PGU: 5269\nOER to PIK: 2301\nOER to BUW: 12174\nOER to HLZ: 17589\nOER to TCR: 8281\nAWZ to PGU: 567\nAWZ to ROS: 13744\nAWZ to PIK: 5500\nAWZ to BUW: 8985\nAWZ to HLZ: 15243\nAWZ to TCR: 4386\nROS to PGU: 14139\nROS to PIK: 11551\nROS to BUW: 17958\nROS to HLZ: 10784\nROS to TCR: 17117\nPIK to PGU: 5911\nPIK to BUW: 13243\nPIK to HLZ: 18805\nPIK to TCR: 9176\nTCR to PGU: 4205\nTCR to BUW: 5647\nTCR to HLZ: 11955\nBUW to PGU: 8808\nBUW to HLZ: 7858\nHLZ to PGU: 15085\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50469,
"style": "rule"
}
|
{
"exact_answer": 50469,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RUT\", \"id\": 0}, {\"name\": \"OER\", \"id\": 1}, {\"name\": \"AWZ\", \"id\": 2}, {\"name\": \"ROS\", \"id\": 3}, {\"name\": \"PIK\", \"id\": 4}, {\"name\": \"TCR\", \"id\": 5}, {\"name\": \"BUW\", \"id\": 6}, {\"name\": \"HLZ\", \"id\": 7}, {\"name\": \"PGU\", \"id\": 8}], \"links\": [{\"weight\": 6641, \"source\": 0, \"target\": 1}, {\"weight\": 9134, \"source\": 0, \"target\": 3}, {\"weight\": 10263, \"source\": 0, \"target\": 2}, {\"weight\": 10674, \"source\": 0, \"target\": 8}, {\"weight\": 5262, \"source\": 0, \"target\": 4}, {\"weight\": 16819, \"source\": 0, \"target\": 6}, {\"weight\": 14987, \"source\": 0, \"target\": 7}, {\"weight\": 14023, \"source\": 0, \"target\": 5}, {\"weight\": 13092, \"source\": 1, \"target\": 3}, {\"weight\": 4711, \"source\": 1, \"target\": 2}, {\"weight\": 5269, \"source\": 1, \"target\": 8}, {\"weight\": 2301, \"source\": 1, \"target\": 4}, {\"weight\": 12174, \"source\": 1, \"target\": 6}, {\"weight\": 17589, \"source\": 1, \"target\": 7}, {\"weight\": 8281, \"source\": 1, \"target\": 5}, {\"weight\": 567, \"source\": 2, \"target\": 8}, {\"weight\": 13744, \"source\": 2, \"target\": 3}, {\"weight\": 5500, \"source\": 2, \"target\": 4}, {\"weight\": 8985, \"source\": 2, \"target\": 6}, {\"weight\": 15243, \"source\": 2, \"target\": 7}, {\"weight\": 4386, \"source\": 2, \"target\": 5}, {\"weight\": 14139, \"source\": 3, \"target\": 8}, {\"weight\": 11551, \"source\": 3, \"target\": 4}, {\"weight\": 17958, \"source\": 3, \"target\": 6}, {\"weight\": 10784, \"source\": 3, \"target\": 7}, {\"weight\": 17117, \"source\": 3, \"target\": 5}, {\"weight\": 5911, \"source\": 4, \"target\": 8}, {\"weight\": 13243, \"source\": 4, \"target\": 6}, {\"weight\": 18805, \"source\": 4, \"target\": 7}, {\"weight\": 9176, \"source\": 4, \"target\": 5}, {\"weight\": 4205, \"source\": 5, \"target\": 8}, {\"weight\": 5647, \"source\": 5, \"target\": 6}, {\"weight\": 11955, \"source\": 5, \"target\": 7}, {\"weight\": 8808, \"source\": 6, \"target\": 8}, {\"weight\": 7858, \"source\": 6, \"target\": 7}, {\"weight\": 15085, \"source\": 7, \"target\": 8}]}",
"id": 2895,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RUT, OER, AWZ, ROS, PIK, TCR, BUW, HLZ, PGU\n- Travel distances (in kilometers) between each pair of airports:\nRUT to OER: 6641\nRUT to ROS: 9134\nRUT to AWZ: 10263\nRUT to PGU: 10674\nRUT to PIK: 5262\nRUT to BUW: 16819\nRUT to HLZ: 14987\nRUT to TCR: 14023\nOER to ROS: 13092\nOER to AWZ: 4711\nOER to PGU: 5269\nOER to PIK: 2301\nOER to BUW: 12174\nOER to HLZ: 17589\nOER to TCR: 8281\nAWZ to PGU: 567\nAWZ to ROS: 13744\nAWZ to PIK: 5500\nAWZ to BUW: 8985\nAWZ to HLZ: 15243\nAWZ to TCR: 4386\nROS to PGU: 14139\nROS to PIK: 11551\nROS to BUW: 17958\nROS to HLZ: 10784\nROS to TCR: 17117\nPIK to PGU: 5911\nPIK to BUW: 13243\nPIK to HLZ: 18805\nPIK to TCR: 9176\nTCR to PGU: 4205\nTCR to BUW: 5647\nTCR to HLZ: 11955\nBUW to PGU: 8808\nBUW to HLZ: 7858\nHLZ to PGU: 15085\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGS, ILG, LTI, BET, AAE, VIL, INH, QSF, DOH\n- Travel distances (in kilometers) between each pair of airports:\nAGS to BET: 6370\nAGS to DOH: 11863\nAGS to AAE: 7989\nAGS to QSF: 7777\nAGS to VIL: 7241\nAGS to ILG: 1741\nAGS to LTI: 13687\nAGS to INH: 14576\nILG to BET: 6236\nILG to DOH: 11927\nILG to AAE: 8242\nILG to QSF: 8030\nILG to VIL: 7564\nILG to LTI: 13362\nILG to INH: 15119\nLTI to BET: 13650\nLTI to DOH: 6378\nLTI to AAE: 8908\nLTI to QSF: 8948\nLTI to VIL: 11063\nLTI to INH: 12728\nBET to DOH: 15273\nBET to AAE: 12421\nBET to QSF: 12447\nBET to VIL: 12282\nBET to INH: 19927\nAAE to DOH: 4610\nAAE to QSF: 606\nAAE to VIL: 2798\nAAE to INH: 9061\nVIL to DOH: 7076\nVIL to QSF: 2592\nVIL to INH: 9281\nINH to DOH: 6492\nINH to QSF: 8849\nQSF to DOH: 4925\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53991,
"style": "rule"
}
|
{
"exact_answer": 53991,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AGS\", \"id\": 0}, {\"name\": \"ILG\", \"id\": 1}, {\"name\": \"LTI\", \"id\": 2}, {\"name\": \"BET\", \"id\": 3}, {\"name\": \"AAE\", \"id\": 4}, {\"name\": \"VIL\", \"id\": 5}, {\"name\": \"INH\", \"id\": 6}, {\"name\": \"QSF\", \"id\": 7}, {\"name\": \"DOH\", \"id\": 8}], \"links\": [{\"weight\": 6370, \"source\": 0, \"target\": 3}, {\"weight\": 11863, \"source\": 0, \"target\": 8}, {\"weight\": 7989, \"source\": 0, \"target\": 4}, {\"weight\": 7777, \"source\": 0, \"target\": 7}, {\"weight\": 7241, \"source\": 0, \"target\": 5}, {\"weight\": 1741, \"source\": 0, \"target\": 1}, {\"weight\": 13687, \"source\": 0, \"target\": 2}, {\"weight\": 14576, \"source\": 0, \"target\": 6}, {\"weight\": 6236, \"source\": 1, \"target\": 3}, {\"weight\": 11927, \"source\": 1, \"target\": 8}, {\"weight\": 8242, \"source\": 1, \"target\": 4}, {\"weight\": 8030, \"source\": 1, \"target\": 7}, {\"weight\": 7564, \"source\": 1, \"target\": 5}, {\"weight\": 13362, \"source\": 1, \"target\": 2}, {\"weight\": 15119, \"source\": 1, \"target\": 6}, {\"weight\": 13650, \"source\": 2, \"target\": 3}, {\"weight\": 6378, \"source\": 2, \"target\": 8}, {\"weight\": 8908, \"source\": 2, \"target\": 4}, {\"weight\": 8948, \"source\": 2, \"target\": 7}, {\"weight\": 11063, \"source\": 2, \"target\": 5}, {\"weight\": 12728, \"source\": 2, \"target\": 6}, {\"weight\": 15273, \"source\": 3, \"target\": 8}, {\"weight\": 12421, \"source\": 3, \"target\": 4}, {\"weight\": 12447, \"source\": 3, \"target\": 7}, {\"weight\": 12282, \"source\": 3, \"target\": 5}, {\"weight\": 19927, \"source\": 3, \"target\": 6}, {\"weight\": 4610, \"source\": 4, \"target\": 8}, {\"weight\": 606, \"source\": 4, \"target\": 7}, {\"weight\": 2798, \"source\": 4, \"target\": 5}, {\"weight\": 9061, \"source\": 4, \"target\": 6}, {\"weight\": 7076, \"source\": 5, \"target\": 8}, {\"weight\": 2592, \"source\": 5, \"target\": 7}, {\"weight\": 9281, \"source\": 5, \"target\": 6}, {\"weight\": 6492, \"source\": 6, \"target\": 8}, {\"weight\": 8849, \"source\": 6, \"target\": 7}, {\"weight\": 4925, \"source\": 7, \"target\": 8}]}",
"id": 2896,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGS, ILG, LTI, BET, AAE, VIL, INH, QSF, DOH\n- Travel distances (in kilometers) between each pair of airports:\nAGS to BET: 6370\nAGS to DOH: 11863\nAGS to AAE: 7989\nAGS to QSF: 7777\nAGS to VIL: 7241\nAGS to ILG: 1741\nAGS to LTI: 13687\nAGS to INH: 14576\nILG to BET: 6236\nILG to DOH: 11927\nILG to AAE: 8242\nILG to QSF: 8030\nILG to VIL: 7564\nILG to LTI: 13362\nILG to INH: 15119\nLTI to BET: 13650\nLTI to DOH: 6378\nLTI to AAE: 8908\nLTI to QSF: 8948\nLTI to VIL: 11063\nLTI to INH: 12728\nBET to DOH: 15273\nBET to AAE: 12421\nBET to QSF: 12447\nBET to VIL: 12282\nBET to INH: 19927\nAAE to DOH: 4610\nAAE to QSF: 606\nAAE to VIL: 2798\nAAE to INH: 9061\nVIL to DOH: 7076\nVIL to QSF: 2592\nVIL to INH: 9281\nINH to DOH: 6492\nINH to QSF: 8849\nQSF to DOH: 4925\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRO, TLT, PUW, ROW, BDU, AFZ, KKI, AIA, EXI\n- Travel distances (in kilometers) between each pair of airports:\nFRO to TLT: 10465\nFRO to KKI: 10440\nFRO to ROW: 8429\nFRO to PUW: 7844\nFRO to BDU: 1405\nFRO to AFZ: 5319\nFRO to AIA: 7647\nFRO to EXI: 8954\nTLT to KKI: 36\nTLT to ROW: 6291\nTLT to PUW: 3423\nTLT to BDU: 11657\nTLT to AFZ: 15569\nTLT to AIA: 4849\nTLT to EXI: 1663\nPUW to KKI: 3398\nPUW to ROW: 3070\nPUW to BDU: 9036\nPUW to AFZ: 12948\nPUW to AIA: 1690\nPUW to EXI: 1912\nROW to KKI: 6266\nROW to BDU: 9621\nROW to AFZ: 13417\nROW to AIA: 2020\nROW to EXI: 4877\nBDU to KKI: 11632\nBDU to AFZ: 6002\nBDU to AIA: 8839\nBDU to EXI: 10146\nAFZ to KKI: 15544\nAFZ to AIA: 12751\nAFZ to EXI: 14058\nKKI to AIA: 4824\nKKI to EXI: 1638\nAIA to EXI: 3444\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 38585,
"style": "rule"
}
|
{
"exact_answer": 38585,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FRO\", \"id\": 0}, {\"name\": \"TLT\", \"id\": 1}, {\"name\": \"PUW\", \"id\": 2}, {\"name\": \"ROW\", \"id\": 3}, {\"name\": \"BDU\", \"id\": 4}, {\"name\": \"AFZ\", \"id\": 5}, {\"name\": \"KKI\", \"id\": 6}, {\"name\": \"AIA\", \"id\": 7}, {\"name\": \"EXI\", \"id\": 8}], \"links\": [{\"weight\": 10465, \"source\": 0, \"target\": 1}, {\"weight\": 10440, \"source\": 0, \"target\": 6}, {\"weight\": 8429, \"source\": 0, \"target\": 3}, {\"weight\": 7844, \"source\": 0, \"target\": 2}, {\"weight\": 1405, \"source\": 0, \"target\": 4}, {\"weight\": 5319, \"source\": 0, \"target\": 5}, {\"weight\": 7647, \"source\": 0, \"target\": 7}, {\"weight\": 8954, \"source\": 0, \"target\": 8}, {\"weight\": 36, \"source\": 1, \"target\": 6}, {\"weight\": 6291, \"source\": 1, \"target\": 3}, {\"weight\": 3423, \"source\": 1, \"target\": 2}, {\"weight\": 11657, \"source\": 1, \"target\": 4}, {\"weight\": 15569, \"source\": 1, \"target\": 5}, {\"weight\": 4849, \"source\": 1, \"target\": 7}, {\"weight\": 1663, \"source\": 1, \"target\": 8}, {\"weight\": 3398, \"source\": 2, \"target\": 6}, {\"weight\": 3070, \"source\": 2, \"target\": 3}, {\"weight\": 9036, \"source\": 2, \"target\": 4}, {\"weight\": 12948, \"source\": 2, \"target\": 5}, {\"weight\": 1690, \"source\": 2, \"target\": 7}, {\"weight\": 1912, \"source\": 2, \"target\": 8}, {\"weight\": 6266, \"source\": 3, \"target\": 6}, {\"weight\": 9621, \"source\": 3, \"target\": 4}, {\"weight\": 13417, \"source\": 3, \"target\": 5}, {\"weight\": 2020, \"source\": 3, \"target\": 7}, {\"weight\": 4877, \"source\": 3, \"target\": 8}, {\"weight\": 11632, \"source\": 4, \"target\": 6}, {\"weight\": 6002, \"source\": 4, \"target\": 5}, {\"weight\": 8839, \"source\": 4, \"target\": 7}, {\"weight\": 10146, \"source\": 4, \"target\": 8}, {\"weight\": 15544, \"source\": 5, \"target\": 6}, {\"weight\": 12751, \"source\": 5, \"target\": 7}, {\"weight\": 14058, \"source\": 5, \"target\": 8}, {\"weight\": 4824, \"source\": 6, \"target\": 7}, {\"weight\": 1638, \"source\": 6, \"target\": 8}, {\"weight\": 3444, \"source\": 7, \"target\": 8}]}",
"id": 2897,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRO, TLT, PUW, ROW, BDU, AFZ, KKI, AIA, EXI\n- Travel distances (in kilometers) between each pair of airports:\nFRO to TLT: 10465\nFRO to KKI: 10440\nFRO to ROW: 8429\nFRO to PUW: 7844\nFRO to BDU: 1405\nFRO to AFZ: 5319\nFRO to AIA: 7647\nFRO to EXI: 8954\nTLT to KKI: 36\nTLT to ROW: 6291\nTLT to PUW: 3423\nTLT to BDU: 11657\nTLT to AFZ: 15569\nTLT to AIA: 4849\nTLT to EXI: 1663\nPUW to KKI: 3398\nPUW to ROW: 3070\nPUW to BDU: 9036\nPUW to AFZ: 12948\nPUW to AIA: 1690\nPUW to EXI: 1912\nROW to KKI: 6266\nROW to BDU: 9621\nROW to AFZ: 13417\nROW to AIA: 2020\nROW to EXI: 4877\nBDU to KKI: 11632\nBDU to AFZ: 6002\nBDU to AIA: 8839\nBDU to EXI: 10146\nAFZ to KKI: 15544\nAFZ to AIA: 12751\nAFZ to EXI: 14058\nKKI to AIA: 4824\nKKI to EXI: 1638\nAIA to EXI: 3444\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRE, JHS, PDG, PIA, SAW, TCG, NOZ, GPS, TOE\n- Travel distances (in kilometers) between each pair of airports:\nFRE to SAW: 14628\nFRE to PIA: 13786\nFRE to PDG: 6984\nFRE to TCG: 10479\nFRE to GPS: 18049\nFRE to JHS: 18598\nFRE to NOZ: 16825\nFRE to TOE: 16675\nJHS to SAW: 5597\nJHS to PIA: 6789\nJHS to PDG: 13602\nJHS to TCG: 9212\nJHS to GPS: 11804\nJHS to NOZ: 8142\nJHS to TOE: 5692\nPDG to SAW: 8755\nPDG to PIA: 15605\nPDG to TCG: 6043\nPDG to GPS: 21483\nPDG to NOZ: 11648\nPDG to TOE: 10772\nPIA to SAW: 9061\nPIA to TCG: 12456\nPIA to GPS: 6106\nPIA to NOZ: 11386\nPIA to TOE: 8550\nSAW to TCG: 5178\nSAW to GPS: 12937\nSAW to NOZ: 4824\nSAW to TOE: 2175\nTCG to GPS: 17244\nTCG to NOZ: 7278\nTCG to TOE: 7205\nNOZ to GPS: 16174\nNOZ to TOE: 6400\nGPS to TOE: 11768\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63940,
"style": "rule"
}
|
{
"exact_answer": 63940,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FRE\", \"id\": 0}, {\"name\": \"JHS\", \"id\": 1}, {\"name\": \"PDG\", \"id\": 2}, {\"name\": \"PIA\", \"id\": 3}, {\"name\": \"SAW\", \"id\": 4}, {\"name\": \"TCG\", \"id\": 5}, {\"name\": \"NOZ\", \"id\": 6}, {\"name\": \"GPS\", \"id\": 7}, {\"name\": \"TOE\", \"id\": 8}], \"links\": [{\"weight\": 14628, \"source\": 0, \"target\": 4}, {\"weight\": 13786, \"source\": 0, \"target\": 3}, {\"weight\": 6984, \"source\": 0, \"target\": 2}, {\"weight\": 10479, \"source\": 0, \"target\": 5}, {\"weight\": 18049, \"source\": 0, \"target\": 7}, {\"weight\": 18598, \"source\": 0, \"target\": 1}, {\"weight\": 16825, \"source\": 0, \"target\": 6}, {\"weight\": 16675, \"source\": 0, \"target\": 8}, {\"weight\": 5597, \"source\": 1, \"target\": 4}, {\"weight\": 6789, \"source\": 1, \"target\": 3}, {\"weight\": 13602, \"source\": 1, \"target\": 2}, {\"weight\": 9212, \"source\": 1, \"target\": 5}, {\"weight\": 11804, \"source\": 1, \"target\": 7}, {\"weight\": 8142, \"source\": 1, \"target\": 6}, {\"weight\": 5692, \"source\": 1, \"target\": 8}, {\"weight\": 8755, \"source\": 2, \"target\": 4}, {\"weight\": 15605, \"source\": 2, \"target\": 3}, {\"weight\": 6043, \"source\": 2, \"target\": 5}, {\"weight\": 21483, \"source\": 2, \"target\": 7}, {\"weight\": 11648, \"source\": 2, \"target\": 6}, {\"weight\": 10772, \"source\": 2, \"target\": 8}, {\"weight\": 9061, \"source\": 3, \"target\": 4}, {\"weight\": 12456, \"source\": 3, \"target\": 5}, {\"weight\": 6106, \"source\": 3, \"target\": 7}, {\"weight\": 11386, \"source\": 3, \"target\": 6}, {\"weight\": 8550, \"source\": 3, \"target\": 8}, {\"weight\": 5178, \"source\": 4, \"target\": 5}, {\"weight\": 12937, \"source\": 4, \"target\": 7}, {\"weight\": 4824, \"source\": 4, \"target\": 6}, {\"weight\": 2175, \"source\": 4, \"target\": 8}, {\"weight\": 17244, \"source\": 5, \"target\": 7}, {\"weight\": 7278, \"source\": 5, \"target\": 6}, {\"weight\": 7205, \"source\": 5, \"target\": 8}, {\"weight\": 16174, \"source\": 6, \"target\": 7}, {\"weight\": 6400, \"source\": 6, \"target\": 8}, {\"weight\": 11768, \"source\": 7, \"target\": 8}]}",
"id": 2898,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRE, JHS, PDG, PIA, SAW, TCG, NOZ, GPS, TOE\n- Travel distances (in kilometers) between each pair of airports:\nFRE to SAW: 14628\nFRE to PIA: 13786\nFRE to PDG: 6984\nFRE to TCG: 10479\nFRE to GPS: 18049\nFRE to JHS: 18598\nFRE to NOZ: 16825\nFRE to TOE: 16675\nJHS to SAW: 5597\nJHS to PIA: 6789\nJHS to PDG: 13602\nJHS to TCG: 9212\nJHS to GPS: 11804\nJHS to NOZ: 8142\nJHS to TOE: 5692\nPDG to SAW: 8755\nPDG to PIA: 15605\nPDG to TCG: 6043\nPDG to GPS: 21483\nPDG to NOZ: 11648\nPDG to TOE: 10772\nPIA to SAW: 9061\nPIA to TCG: 12456\nPIA to GPS: 6106\nPIA to NOZ: 11386\nPIA to TOE: 8550\nSAW to TCG: 5178\nSAW to GPS: 12937\nSAW to NOZ: 4824\nSAW to TOE: 2175\nTCG to GPS: 17244\nTCG to NOZ: 7278\nTCG to TOE: 7205\nNOZ to GPS: 16174\nNOZ to TOE: 6400\nGPS to TOE: 11768\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ERZ, SVS, JAC, HAQ, CRM, BEG, DJE, MAM\n- Travel distances (in kilometers) between each pair of airports:\nMRA to CRM: 11170\nMRA to BEG: 1893\nMRA to SVS: 12806\nMRA to ERZ: 2623\nMRA to DJE: 1003\nMRA to MAM: 11719\nMRA to JAC: 10637\nMRA to HAQ: 7229\nERZ to CRM: 10093\nERZ to BEG: 1856\nERZ to SVS: 13603\nERZ to DJE: 2990\nERZ to MAM: 13160\nERZ to JAC: 11565\nERZ to HAQ: 6679\nSVS to CRM: 13761\nSVS to BEG: 11834\nSVS to DJE: 12462\nSVS to MAM: 7124\nSVS to JAC: 4040\nSVS to HAQ: 17260\nJAC to CRM: 12583\nJAC to BEG: 9794\nJAC to DJE: 10286\nJAC to MAM: 3707\nJAC to HAQ: 16078\nHAQ to CRM: 5840\nHAQ to BEG: 7145\nHAQ to DJE: 7667\nHAQ to MAM: 18157\nCRM to BEG: 10404\nCRM to DJE: 11537\nCRM to MAM: 15411\nBEG to DJE: 1558\nBEG to MAM: 11325\nDJE to MAM: 11253\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50032,
"style": "rule"
}
|
{
"exact_answer": 50032,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MRA\", \"id\": 0}, {\"name\": \"ERZ\", \"id\": 1}, {\"name\": \"SVS\", \"id\": 2}, {\"name\": \"JAC\", \"id\": 3}, {\"name\": \"HAQ\", \"id\": 4}, {\"name\": \"CRM\", \"id\": 5}, {\"name\": \"BEG\", \"id\": 6}, {\"name\": \"DJE\", \"id\": 7}, {\"name\": \"MAM\", \"id\": 8}], \"links\": [{\"weight\": 11170, \"source\": 0, \"target\": 5}, {\"weight\": 1893, \"source\": 0, \"target\": 6}, {\"weight\": 12806, \"source\": 0, \"target\": 2}, {\"weight\": 2623, \"source\": 0, \"target\": 1}, {\"weight\": 1003, \"source\": 0, \"target\": 7}, {\"weight\": 11719, \"source\": 0, \"target\": 8}, {\"weight\": 10637, \"source\": 0, \"target\": 3}, {\"weight\": 7229, \"source\": 0, \"target\": 4}, {\"weight\": 10093, \"source\": 1, \"target\": 5}, {\"weight\": 1856, \"source\": 1, \"target\": 6}, {\"weight\": 13603, \"source\": 1, \"target\": 2}, {\"weight\": 2990, \"source\": 1, \"target\": 7}, {\"weight\": 13160, \"source\": 1, \"target\": 8}, {\"weight\": 11565, \"source\": 1, \"target\": 3}, {\"weight\": 6679, \"source\": 1, \"target\": 4}, {\"weight\": 13761, \"source\": 2, \"target\": 5}, {\"weight\": 11834, \"source\": 2, \"target\": 6}, {\"weight\": 12462, \"source\": 2, \"target\": 7}, {\"weight\": 7124, \"source\": 2, \"target\": 8}, {\"weight\": 4040, \"source\": 2, \"target\": 3}, {\"weight\": 17260, \"source\": 2, \"target\": 4}, {\"weight\": 12583, \"source\": 3, \"target\": 5}, {\"weight\": 9794, \"source\": 3, \"target\": 6}, {\"weight\": 10286, \"source\": 3, \"target\": 7}, {\"weight\": 3707, \"source\": 3, \"target\": 8}, {\"weight\": 16078, \"source\": 3, \"target\": 4}, {\"weight\": 5840, \"source\": 4, \"target\": 5}, {\"weight\": 7145, \"source\": 4, \"target\": 6}, {\"weight\": 7667, \"source\": 4, \"target\": 7}, {\"weight\": 18157, \"source\": 4, \"target\": 8}, {\"weight\": 10404, \"source\": 5, \"target\": 6}, {\"weight\": 11537, \"source\": 5, \"target\": 7}, {\"weight\": 15411, \"source\": 5, \"target\": 8}, {\"weight\": 1558, \"source\": 6, \"target\": 7}, {\"weight\": 11325, \"source\": 6, \"target\": 8}, {\"weight\": 11253, \"source\": 7, \"target\": 8}]}",
"id": 2899,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ERZ, SVS, JAC, HAQ, CRM, BEG, DJE, MAM\n- Travel distances (in kilometers) between each pair of airports:\nMRA to CRM: 11170\nMRA to BEG: 1893\nMRA to SVS: 12806\nMRA to ERZ: 2623\nMRA to DJE: 1003\nMRA to MAM: 11719\nMRA to JAC: 10637\nMRA to HAQ: 7229\nERZ to CRM: 10093\nERZ to BEG: 1856\nERZ to SVS: 13603\nERZ to DJE: 2990\nERZ to MAM: 13160\nERZ to JAC: 11565\nERZ to HAQ: 6679\nSVS to CRM: 13761\nSVS to BEG: 11834\nSVS to DJE: 12462\nSVS to MAM: 7124\nSVS to JAC: 4040\nSVS to HAQ: 17260\nJAC to CRM: 12583\nJAC to BEG: 9794\nJAC to DJE: 10286\nJAC to MAM: 3707\nJAC to HAQ: 16078\nHAQ to CRM: 5840\nHAQ to BEG: 7145\nHAQ to DJE: 7667\nHAQ to MAM: 18157\nCRM to BEG: 10404\nCRM to DJE: 11537\nCRM to MAM: 15411\nBEG to DJE: 1558\nBEG to MAM: 11325\nDJE to MAM: 11253\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.