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: PBH, GZT, VCP, CAK, MDU, NYK, RVE, BJX, BSD\n- Travel distances (in kilometers) between each pair of airports:\nPBH to GZT: 5871\nPBH to RVE: 16776\nPBH to BJX: 15820\nPBH to CAK: 13438\nPBH to VCP: 15673\nPBH to BSD: 2025\nPBH to NYK: 7062\nPBH to MDU: 8415\nGZT to RVE: 11964\nGZT to BJX: 12285\nGZT to CAK: 9488\nGZT to VCP: 11723\nGZT to BSD: 7588\nGZT to NYK: 5437\nGZT to MDU: 13904\nVCP to RVE: 5196\nVCP to BJX: 7865\nVCP to CAK: 8179\nVCP to BSD: 17387\nVCP to NYK: 9963\nVCP to MDU: 17406\nCAK to RVE: 4469\nCAK to BJX: 3039\nCAK to BSD: 13336\nCAK to NYK: 13419\nCAK to MDU: 16099\nMDU to RVE: 18771\nMDU to BJX: 15015\nMDU to BSD: 7131\nMDU to NYK: 13935\nNYK to RVE: 14460\nNYK to BJX: 15871\nNYK to BSD: 8572\nRVE to BJX: 3819\nRVE to BSD: 17754\nBJX to BSD: 14699\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58146,
"style": "rule"
}
|
{
"exact_answer": 58146,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PBH\", \"id\": 0}, {\"name\": \"GZT\", \"id\": 1}, {\"name\": \"VCP\", \"id\": 2}, {\"name\": \"CAK\", \"id\": 3}, {\"name\": \"MDU\", \"id\": 4}, {\"name\": \"NYK\", \"id\": 5}, {\"name\": \"RVE\", \"id\": 6}, {\"name\": \"BJX\", \"id\": 7}, {\"name\": \"BSD\", \"id\": 8}], \"links\": [{\"weight\": 5871, \"source\": 0, \"target\": 1}, {\"weight\": 16776, \"source\": 0, \"target\": 6}, {\"weight\": 15820, \"source\": 0, \"target\": 7}, {\"weight\": 13438, \"source\": 0, \"target\": 3}, {\"weight\": 15673, \"source\": 0, \"target\": 2}, {\"weight\": 2025, \"source\": 0, \"target\": 8}, {\"weight\": 7062, \"source\": 0, \"target\": 5}, {\"weight\": 8415, \"source\": 0, \"target\": 4}, {\"weight\": 11964, \"source\": 1, \"target\": 6}, {\"weight\": 12285, \"source\": 1, \"target\": 7}, {\"weight\": 9488, \"source\": 1, \"target\": 3}, {\"weight\": 11723, \"source\": 1, \"target\": 2}, {\"weight\": 7588, \"source\": 1, \"target\": 8}, {\"weight\": 5437, \"source\": 1, \"target\": 5}, {\"weight\": 13904, \"source\": 1, \"target\": 4}, {\"weight\": 5196, \"source\": 2, \"target\": 6}, {\"weight\": 7865, \"source\": 2, \"target\": 7}, {\"weight\": 8179, \"source\": 2, \"target\": 3}, {\"weight\": 17387, \"source\": 2, \"target\": 8}, {\"weight\": 9963, \"source\": 2, \"target\": 5}, {\"weight\": 17406, \"source\": 2, \"target\": 4}, {\"weight\": 4469, \"source\": 3, \"target\": 6}, {\"weight\": 3039, \"source\": 3, \"target\": 7}, {\"weight\": 13336, \"source\": 3, \"target\": 8}, {\"weight\": 13419, \"source\": 3, \"target\": 5}, {\"weight\": 16099, \"source\": 3, \"target\": 4}, {\"weight\": 18771, \"source\": 4, \"target\": 6}, {\"weight\": 15015, \"source\": 4, \"target\": 7}, {\"weight\": 7131, \"source\": 4, \"target\": 8}, {\"weight\": 13935, \"source\": 4, \"target\": 5}, {\"weight\": 14460, \"source\": 5, \"target\": 6}, {\"weight\": 15871, \"source\": 5, \"target\": 7}, {\"weight\": 8572, \"source\": 5, \"target\": 8}, {\"weight\": 3819, \"source\": 6, \"target\": 7}, {\"weight\": 17754, \"source\": 6, \"target\": 8}, {\"weight\": 14699, \"source\": 7, \"target\": 8}]}",
"id": 900,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBH, GZT, VCP, CAK, MDU, NYK, RVE, BJX, BSD\n- Travel distances (in kilometers) between each pair of airports:\nPBH to GZT: 5871\nPBH to RVE: 16776\nPBH to BJX: 15820\nPBH to CAK: 13438\nPBH to VCP: 15673\nPBH to BSD: 2025\nPBH to NYK: 7062\nPBH to MDU: 8415\nGZT to RVE: 11964\nGZT to BJX: 12285\nGZT to CAK: 9488\nGZT to VCP: 11723\nGZT to BSD: 7588\nGZT to NYK: 5437\nGZT to MDU: 13904\nVCP to RVE: 5196\nVCP to BJX: 7865\nVCP to CAK: 8179\nVCP to BSD: 17387\nVCP to NYK: 9963\nVCP to MDU: 17406\nCAK to RVE: 4469\nCAK to BJX: 3039\nCAK to BSD: 13336\nCAK to NYK: 13419\nCAK to MDU: 16099\nMDU to RVE: 18771\nMDU to BJX: 15015\nMDU to BSD: 7131\nMDU to NYK: 13935\nNYK to RVE: 14460\nNYK to BJX: 15871\nNYK to BSD: 8572\nRVE to BJX: 3819\nRVE to BSD: 17754\nBJX to BSD: 14699\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UTH, PSJ, AJI, TSA, YAT, ACK, LAD, YXU, ORB\n- Travel distances (in kilometers) between each pair of airports:\nUTH to TSA: 2860\nUTH to ACK: 14761\nUTH to LAD: 10443\nUTH to YXU: 14042\nUTH to ORB: 9517\nUTH to PSJ: 4174\nUTH to AJI: 8221\nUTH to YAT: 14988\nPSJ to TSA: 4113\nPSJ to ACK: 16847\nPSJ to LAD: 12898\nPSJ to YXU: 16216\nPSJ to ORB: 12716\nPSJ to AJI: 11455\nPSJ to YAT: 16791\nAJI to TSA: 9097\nAJI to ACK: 9083\nAJI to LAD: 7031\nAJI to YXU: 9524\nAJI to ORB: 3633\nAJI to YAT: 10052\nTSA to ACK: 12950\nTSA to LAD: 12288\nTSA to YXU: 12231\nTSA to ORB: 9294\nTSA to YAT: 13177\nYAT to ACK: 1710\nYAT to LAD: 11961\nYAT to YXU: 1230\nYAT to ORB: 7751\nACK to LAD: 10543\nACK to YXU: 1003\nACK to ORB: 6513\nLAD to YXU: 11254\nLAD to ORB: 7938\nYXU to ORB: 6805\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51078,
"style": "rule"
}
|
{
"exact_answer": 51078,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UTH\", \"id\": 0}, {\"name\": \"PSJ\", \"id\": 1}, {\"name\": \"AJI\", \"id\": 2}, {\"name\": \"TSA\", \"id\": 3}, {\"name\": \"YAT\", \"id\": 4}, {\"name\": \"ACK\", \"id\": 5}, {\"name\": \"LAD\", \"id\": 6}, {\"name\": \"YXU\", \"id\": 7}, {\"name\": \"ORB\", \"id\": 8}], \"links\": [{\"weight\": 2860, \"source\": 0, \"target\": 3}, {\"weight\": 14761, \"source\": 0, \"target\": 5}, {\"weight\": 10443, \"source\": 0, \"target\": 6}, {\"weight\": 14042, \"source\": 0, \"target\": 7}, {\"weight\": 9517, \"source\": 0, \"target\": 8}, {\"weight\": 4174, \"source\": 0, \"target\": 1}, {\"weight\": 8221, \"source\": 0, \"target\": 2}, {\"weight\": 14988, \"source\": 0, \"target\": 4}, {\"weight\": 4113, \"source\": 1, \"target\": 3}, {\"weight\": 16847, \"source\": 1, \"target\": 5}, {\"weight\": 12898, \"source\": 1, \"target\": 6}, {\"weight\": 16216, \"source\": 1, \"target\": 7}, {\"weight\": 12716, \"source\": 1, \"target\": 8}, {\"weight\": 11455, \"source\": 1, \"target\": 2}, {\"weight\": 16791, \"source\": 1, \"target\": 4}, {\"weight\": 9097, \"source\": 2, \"target\": 3}, {\"weight\": 9083, \"source\": 2, \"target\": 5}, {\"weight\": 7031, \"source\": 2, \"target\": 6}, {\"weight\": 9524, \"source\": 2, \"target\": 7}, {\"weight\": 3633, \"source\": 2, \"target\": 8}, {\"weight\": 10052, \"source\": 2, \"target\": 4}, {\"weight\": 12950, \"source\": 3, \"target\": 5}, {\"weight\": 12288, \"source\": 3, \"target\": 6}, {\"weight\": 12231, \"source\": 3, \"target\": 7}, {\"weight\": 9294, \"source\": 3, \"target\": 8}, {\"weight\": 13177, \"source\": 3, \"target\": 4}, {\"weight\": 1710, \"source\": 4, \"target\": 5}, {\"weight\": 11961, \"source\": 4, \"target\": 6}, {\"weight\": 1230, \"source\": 4, \"target\": 7}, {\"weight\": 7751, \"source\": 4, \"target\": 8}, {\"weight\": 10543, \"source\": 5, \"target\": 6}, {\"weight\": 1003, \"source\": 5, \"target\": 7}, {\"weight\": 6513, \"source\": 5, \"target\": 8}, {\"weight\": 11254, \"source\": 6, \"target\": 7}, {\"weight\": 7938, \"source\": 6, \"target\": 8}, {\"weight\": 6805, \"source\": 7, \"target\": 8}]}",
"id": 901,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UTH, PSJ, AJI, TSA, YAT, ACK, LAD, YXU, ORB\n- Travel distances (in kilometers) between each pair of airports:\nUTH to TSA: 2860\nUTH to ACK: 14761\nUTH to LAD: 10443\nUTH to YXU: 14042\nUTH to ORB: 9517\nUTH to PSJ: 4174\nUTH to AJI: 8221\nUTH to YAT: 14988\nPSJ to TSA: 4113\nPSJ to ACK: 16847\nPSJ to LAD: 12898\nPSJ to YXU: 16216\nPSJ to ORB: 12716\nPSJ to AJI: 11455\nPSJ to YAT: 16791\nAJI to TSA: 9097\nAJI to ACK: 9083\nAJI to LAD: 7031\nAJI to YXU: 9524\nAJI to ORB: 3633\nAJI to YAT: 10052\nTSA to ACK: 12950\nTSA to LAD: 12288\nTSA to YXU: 12231\nTSA to ORB: 9294\nTSA to YAT: 13177\nYAT to ACK: 1710\nYAT to LAD: 11961\nYAT to YXU: 1230\nYAT to ORB: 7751\nACK to LAD: 10543\nACK to YXU: 1003\nACK to ORB: 6513\nLAD to YXU: 11254\nLAD to ORB: 7938\nYXU to ORB: 6805\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, OSM, GAN, ATA, WLH, VNO, HAA, HIR, PFO\n- Travel distances (in kilometers) between each pair of airports:\nUPN to VNO: 11862\nUPN to PFO: 14088\nUPN to HIR: 13271\nUPN to WLH: 12465\nUPN to GAN: 18637\nUPN to OSM: 14670\nUPN to ATA: 8930\nUPN to HAA: 11953\nOSM to VNO: 2898\nOSM to PFO: 2753\nOSM to HIR: 14989\nOSM to WLH: 16592\nOSM to GAN: 6370\nOSM to ATA: 13888\nOSM to HAA: 4829\nGAN to VNO: 7655\nGAN to PFO: 7496\nGAN to HIR: 10240\nGAN to WLH: 11843\nGAN to ATA: 19012\nGAN to HAA: 9278\nATA to VNO: 12198\nATA to PFO: 13048\nATA to HIR: 15935\nATA to WLH: 14974\nATA to HAA: 12860\nWLH to VNO: 15988\nWLH to PFO: 16482\nWLH to HIR: 1603\nWLH to HAA: 17253\nVNO to PFO: 2636\nVNO to HIR: 14385\nVNO to HAA: 1979\nHAA to PFO: 4332\nHAA to HIR: 15699\nHIR to PFO: 14879\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59836,
"style": "rule"
}
|
{
"exact_answer": 59836,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UPN\", \"id\": 0}, {\"name\": \"OSM\", \"id\": 1}, {\"name\": \"GAN\", \"id\": 2}, {\"name\": \"ATA\", \"id\": 3}, {\"name\": \"WLH\", \"id\": 4}, {\"name\": \"VNO\", \"id\": 5}, {\"name\": \"HAA\", \"id\": 6}, {\"name\": \"HIR\", \"id\": 7}, {\"name\": \"PFO\", \"id\": 8}], \"links\": [{\"weight\": 11862, \"source\": 0, \"target\": 5}, {\"weight\": 14088, \"source\": 0, \"target\": 8}, {\"weight\": 13271, \"source\": 0, \"target\": 7}, {\"weight\": 12465, \"source\": 0, \"target\": 4}, {\"weight\": 18637, \"source\": 0, \"target\": 2}, {\"weight\": 14670, \"source\": 0, \"target\": 1}, {\"weight\": 8930, \"source\": 0, \"target\": 3}, {\"weight\": 11953, \"source\": 0, \"target\": 6}, {\"weight\": 2898, \"source\": 1, \"target\": 5}, {\"weight\": 2753, \"source\": 1, \"target\": 8}, {\"weight\": 14989, \"source\": 1, \"target\": 7}, {\"weight\": 16592, \"source\": 1, \"target\": 4}, {\"weight\": 6370, \"source\": 1, \"target\": 2}, {\"weight\": 13888, \"source\": 1, \"target\": 3}, {\"weight\": 4829, \"source\": 1, \"target\": 6}, {\"weight\": 7655, \"source\": 2, \"target\": 5}, {\"weight\": 7496, \"source\": 2, \"target\": 8}, {\"weight\": 10240, \"source\": 2, \"target\": 7}, {\"weight\": 11843, \"source\": 2, \"target\": 4}, {\"weight\": 19012, \"source\": 2, \"target\": 3}, {\"weight\": 9278, \"source\": 2, \"target\": 6}, {\"weight\": 12198, \"source\": 3, \"target\": 5}, {\"weight\": 13048, \"source\": 3, \"target\": 8}, {\"weight\": 15935, \"source\": 3, \"target\": 7}, {\"weight\": 14974, \"source\": 3, \"target\": 4}, {\"weight\": 12860, \"source\": 3, \"target\": 6}, {\"weight\": 15988, \"source\": 4, \"target\": 5}, {\"weight\": 16482, \"source\": 4, \"target\": 8}, {\"weight\": 1603, \"source\": 4, \"target\": 7}, {\"weight\": 17253, \"source\": 4, \"target\": 6}, {\"weight\": 2636, \"source\": 5, \"target\": 8}, {\"weight\": 14385, \"source\": 5, \"target\": 7}, {\"weight\": 1979, \"source\": 5, \"target\": 6}, {\"weight\": 4332, \"source\": 6, \"target\": 8}, {\"weight\": 15699, \"source\": 6, \"target\": 7}, {\"weight\": 14879, \"source\": 7, \"target\": 8}]}",
"id": 902,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, OSM, GAN, ATA, WLH, VNO, HAA, HIR, PFO\n- Travel distances (in kilometers) between each pair of airports:\nUPN to VNO: 11862\nUPN to PFO: 14088\nUPN to HIR: 13271\nUPN to WLH: 12465\nUPN to GAN: 18637\nUPN to OSM: 14670\nUPN to ATA: 8930\nUPN to HAA: 11953\nOSM to VNO: 2898\nOSM to PFO: 2753\nOSM to HIR: 14989\nOSM to WLH: 16592\nOSM to GAN: 6370\nOSM to ATA: 13888\nOSM to HAA: 4829\nGAN to VNO: 7655\nGAN to PFO: 7496\nGAN to HIR: 10240\nGAN to WLH: 11843\nGAN to ATA: 19012\nGAN to HAA: 9278\nATA to VNO: 12198\nATA to PFO: 13048\nATA to HIR: 15935\nATA to WLH: 14974\nATA to HAA: 12860\nWLH to VNO: 15988\nWLH to PFO: 16482\nWLH to HIR: 1603\nWLH to HAA: 17253\nVNO to PFO: 2636\nVNO to HIR: 14385\nVNO to HAA: 1979\nHAA to PFO: 4332\nHAA to HIR: 15699\nHIR to PFO: 14879\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RBQ, ONQ, TIZ, SFG, STC, ZSA, LYC, ABQ, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nRBQ to LYC: 12856\nRBQ to SFG: 4667\nRBQ to ABQ: 7471\nRBQ to ZSA: 5095\nRBQ to TIZ: 16820\nRBQ to STC: 7686\nRBQ to KCQ: 12280\nRBQ to ONQ: 13359\nONQ to LYC: 3917\nONQ to SFG: 9384\nONQ to ABQ: 10648\nONQ to ZSA: 10002\nONQ to TIZ: 16984\nONQ to STC: 9630\nONQ to KCQ: 13313\nTIZ to LYC: 14432\nTIZ to SFG: 18689\nTIZ to ABQ: 13984\nTIZ to ZSA: 17266\nTIZ to STC: 15746\nTIZ to KCQ: 14347\nSFG to LYC: 8694\nSFG to ABQ: 4742\nSFG to ZSA: 1465\nSFG to STC: 4245\nSFG to KCQ: 8941\nSTC to LYC: 8033\nSTC to ABQ: 2428\nSTC to ZSA: 3062\nSTC to KCQ: 5962\nZSA to LYC: 8892\nZSA to ABQ: 3319\nZSA to KCQ: 7747\nLYC to ABQ: 8975\nLYC to KCQ: 11584\nABQ to KCQ: 4966\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62298,
"style": "rule"
}
|
{
"exact_answer": 62298,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RBQ\", \"id\": 0}, {\"name\": \"ONQ\", \"id\": 1}, {\"name\": \"TIZ\", \"id\": 2}, {\"name\": \"SFG\", \"id\": 3}, {\"name\": \"STC\", \"id\": 4}, {\"name\": \"ZSA\", \"id\": 5}, {\"name\": \"LYC\", \"id\": 6}, {\"name\": \"ABQ\", \"id\": 7}, {\"name\": \"KCQ\", \"id\": 8}], \"links\": [{\"weight\": 12856, \"source\": 0, \"target\": 6}, {\"weight\": 4667, \"source\": 0, \"target\": 3}, {\"weight\": 7471, \"source\": 0, \"target\": 7}, {\"weight\": 5095, \"source\": 0, \"target\": 5}, {\"weight\": 16820, \"source\": 0, \"target\": 2}, {\"weight\": 7686, \"source\": 0, \"target\": 4}, {\"weight\": 12280, \"source\": 0, \"target\": 8}, {\"weight\": 13359, \"source\": 0, \"target\": 1}, {\"weight\": 3917, \"source\": 1, \"target\": 6}, {\"weight\": 9384, \"source\": 1, \"target\": 3}, {\"weight\": 10648, \"source\": 1, \"target\": 7}, {\"weight\": 10002, \"source\": 1, \"target\": 5}, {\"weight\": 16984, \"source\": 1, \"target\": 2}, {\"weight\": 9630, \"source\": 1, \"target\": 4}, {\"weight\": 13313, \"source\": 1, \"target\": 8}, {\"weight\": 14432, \"source\": 2, \"target\": 6}, {\"weight\": 18689, \"source\": 2, \"target\": 3}, {\"weight\": 13984, \"source\": 2, \"target\": 7}, {\"weight\": 17266, \"source\": 2, \"target\": 5}, {\"weight\": 15746, \"source\": 2, \"target\": 4}, {\"weight\": 14347, \"source\": 2, \"target\": 8}, {\"weight\": 8694, \"source\": 3, \"target\": 6}, {\"weight\": 4742, \"source\": 3, \"target\": 7}, {\"weight\": 1465, \"source\": 3, \"target\": 5}, {\"weight\": 4245, \"source\": 3, \"target\": 4}, {\"weight\": 8941, \"source\": 3, \"target\": 8}, {\"weight\": 8033, \"source\": 4, \"target\": 6}, {\"weight\": 2428, \"source\": 4, \"target\": 7}, {\"weight\": 3062, \"source\": 4, \"target\": 5}, {\"weight\": 5962, \"source\": 4, \"target\": 8}, {\"weight\": 8892, \"source\": 5, \"target\": 6}, {\"weight\": 3319, \"source\": 5, \"target\": 7}, {\"weight\": 7747, \"source\": 5, \"target\": 8}, {\"weight\": 8975, \"source\": 6, \"target\": 7}, {\"weight\": 11584, \"source\": 6, \"target\": 8}, {\"weight\": 4966, \"source\": 7, \"target\": 8}]}",
"id": 903,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RBQ, ONQ, TIZ, SFG, STC, ZSA, LYC, ABQ, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nRBQ to LYC: 12856\nRBQ to SFG: 4667\nRBQ to ABQ: 7471\nRBQ to ZSA: 5095\nRBQ to TIZ: 16820\nRBQ to STC: 7686\nRBQ to KCQ: 12280\nRBQ to ONQ: 13359\nONQ to LYC: 3917\nONQ to SFG: 9384\nONQ to ABQ: 10648\nONQ to ZSA: 10002\nONQ to TIZ: 16984\nONQ to STC: 9630\nONQ to KCQ: 13313\nTIZ to LYC: 14432\nTIZ to SFG: 18689\nTIZ to ABQ: 13984\nTIZ to ZSA: 17266\nTIZ to STC: 15746\nTIZ to KCQ: 14347\nSFG to LYC: 8694\nSFG to ABQ: 4742\nSFG to ZSA: 1465\nSFG to STC: 4245\nSFG to KCQ: 8941\nSTC to LYC: 8033\nSTC to ABQ: 2428\nSTC to ZSA: 3062\nSTC to KCQ: 5962\nZSA to LYC: 8892\nZSA to ABQ: 3319\nZSA to KCQ: 7747\nLYC to ABQ: 8975\nLYC to KCQ: 11584\nABQ to KCQ: 4966\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HYD, KDH, KKC, HYG, LUO, BHR, RBA, DUR, FRU\n- Travel distances (in kilometers) between each pair of airports:\nHYD to FRU: 3096\nHYD to RBA: 8726\nHYD to DUR: 7696\nHYD to LUO: 8701\nHYD to KDH: 2373\nHYD to KKC: 2800\nHYD to HYG: 14625\nHYD to BHR: 1924\nKDH to FRU: 1595\nKDH to RBA: 6887\nKDH to DUR: 7907\nKDH to LUO: 7968\nKDH to KKC: 4418\nKDH to HYG: 14202\nKDH to BHR: 2035\nKKC to FRU: 4588\nKKC to RBA: 11242\nKKC to DUR: 9876\nKKC to LUO: 11153\nKKC to HYG: 13523\nKKC to BHR: 2677\nHYG to FRU: 13209\nHYG to RBA: 10677\nHYG to DUR: 18382\nHYG to LUO: 16364\nHYG to BHR: 13128\nLUO to FRU: 9364\nLUO to RBA: 6090\nLUO to DUR: 3789\nLUO to BHR: 9713\nBHR to FRU: 2758\nBHR to RBA: 8785\nBHR to DUR: 9148\nRBA to FRU: 7013\nRBA to DUR: 8231\nDUR to FRU: 9303\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50568,
"style": "rule"
}
|
{
"exact_answer": 50568,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HYD\", \"id\": 0}, {\"name\": \"KDH\", \"id\": 1}, {\"name\": \"KKC\", \"id\": 2}, {\"name\": \"HYG\", \"id\": 3}, {\"name\": \"LUO\", \"id\": 4}, {\"name\": \"BHR\", \"id\": 5}, {\"name\": \"RBA\", \"id\": 6}, {\"name\": \"DUR\", \"id\": 7}, {\"name\": \"FRU\", \"id\": 8}], \"links\": [{\"weight\": 3096, \"source\": 0, \"target\": 8}, {\"weight\": 8726, \"source\": 0, \"target\": 6}, {\"weight\": 7696, \"source\": 0, \"target\": 7}, {\"weight\": 8701, \"source\": 0, \"target\": 4}, {\"weight\": 2373, \"source\": 0, \"target\": 1}, {\"weight\": 2800, \"source\": 0, \"target\": 2}, {\"weight\": 14625, \"source\": 0, \"target\": 3}, {\"weight\": 1924, \"source\": 0, \"target\": 5}, {\"weight\": 1595, \"source\": 1, \"target\": 8}, {\"weight\": 6887, \"source\": 1, \"target\": 6}, {\"weight\": 7907, \"source\": 1, \"target\": 7}, {\"weight\": 7968, \"source\": 1, \"target\": 4}, {\"weight\": 4418, \"source\": 1, \"target\": 2}, {\"weight\": 14202, \"source\": 1, \"target\": 3}, {\"weight\": 2035, \"source\": 1, \"target\": 5}, {\"weight\": 4588, \"source\": 2, \"target\": 8}, {\"weight\": 11242, \"source\": 2, \"target\": 6}, {\"weight\": 9876, \"source\": 2, \"target\": 7}, {\"weight\": 11153, \"source\": 2, \"target\": 4}, {\"weight\": 13523, \"source\": 2, \"target\": 3}, {\"weight\": 2677, \"source\": 2, \"target\": 5}, {\"weight\": 13209, \"source\": 3, \"target\": 8}, {\"weight\": 10677, \"source\": 3, \"target\": 6}, {\"weight\": 18382, \"source\": 3, \"target\": 7}, {\"weight\": 16364, \"source\": 3, \"target\": 4}, {\"weight\": 13128, \"source\": 3, \"target\": 5}, {\"weight\": 9364, \"source\": 4, \"target\": 8}, {\"weight\": 6090, \"source\": 4, \"target\": 6}, {\"weight\": 3789, \"source\": 4, \"target\": 7}, {\"weight\": 9713, \"source\": 4, \"target\": 5}, {\"weight\": 2758, \"source\": 5, \"target\": 8}, {\"weight\": 8785, \"source\": 5, \"target\": 6}, {\"weight\": 9148, \"source\": 5, \"target\": 7}, {\"weight\": 7013, \"source\": 6, \"target\": 8}, {\"weight\": 8231, \"source\": 6, \"target\": 7}, {\"weight\": 9303, \"source\": 7, \"target\": 8}]}",
"id": 904,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HYD, KDH, KKC, HYG, LUO, BHR, RBA, DUR, FRU\n- Travel distances (in kilometers) between each pair of airports:\nHYD to FRU: 3096\nHYD to RBA: 8726\nHYD to DUR: 7696\nHYD to LUO: 8701\nHYD to KDH: 2373\nHYD to KKC: 2800\nHYD to HYG: 14625\nHYD to BHR: 1924\nKDH to FRU: 1595\nKDH to RBA: 6887\nKDH to DUR: 7907\nKDH to LUO: 7968\nKDH to KKC: 4418\nKDH to HYG: 14202\nKDH to BHR: 2035\nKKC to FRU: 4588\nKKC to RBA: 11242\nKKC to DUR: 9876\nKKC to LUO: 11153\nKKC to HYG: 13523\nKKC to BHR: 2677\nHYG to FRU: 13209\nHYG to RBA: 10677\nHYG to DUR: 18382\nHYG to LUO: 16364\nHYG to BHR: 13128\nLUO to FRU: 9364\nLUO to RBA: 6090\nLUO to DUR: 3789\nLUO to BHR: 9713\nBHR to FRU: 2758\nBHR to RBA: 8785\nBHR to DUR: 9148\nRBA to FRU: 7013\nRBA to DUR: 8231\nDUR to FRU: 9303\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, ERZ, HKK, ROR, TMU, DIJ, NYI, SDF, BEU\n- Travel distances (in kilometers) between each pair of airports:\nCIK to TMU: 8346\nCIK to ERZ: 13736\nCIK to SDF: 5708\nCIK to ROR: 12588\nCIK to HKK: 13153\nCIK to NYI: 14918\nCIK to BEU: 14323\nCIK to DIJ: 11777\nERZ to TMU: 12344\nERZ to SDF: 10020\nERZ to ROR: 11319\nERZ to HKK: 17559\nERZ to NYI: 6259\nERZ to BEU: 14057\nERZ to DIJ: 3808\nHKK to TMU: 15670\nHKK to SDF: 14369\nHKK to ROR: 8728\nHKK to NYI: 18283\nHKK to BEU: 4251\nHKK to DIJ: 19960\nROR to TMU: 15950\nROR to SDF: 13736\nROR to NYI: 15170\nROR to BEU: 5887\nROR to DIJ: 13166\nTMU to SDF: 3238\nTMU to NYI: 11311\nTMU to BEU: 17608\nTMU to DIJ: 9530\nDIJ to SDF: 7530\nDIJ to NYI: 5105\nDIJ to BEU: 16481\nNYI to SDF: 9582\nNYI to BEU: 17313\nSDF to BEU: 16122\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63780,
"style": "rule"
}
|
{
"exact_answer": 63780,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CIK\", \"id\": 0}, {\"name\": \"ERZ\", \"id\": 1}, {\"name\": \"HKK\", \"id\": 2}, {\"name\": \"ROR\", \"id\": 3}, {\"name\": \"TMU\", \"id\": 4}, {\"name\": \"DIJ\", \"id\": 5}, {\"name\": \"NYI\", \"id\": 6}, {\"name\": \"SDF\", \"id\": 7}, {\"name\": \"BEU\", \"id\": 8}], \"links\": [{\"weight\": 8346, \"source\": 0, \"target\": 4}, {\"weight\": 13736, \"source\": 0, \"target\": 1}, {\"weight\": 5708, \"source\": 0, \"target\": 7}, {\"weight\": 12588, \"source\": 0, \"target\": 3}, {\"weight\": 13153, \"source\": 0, \"target\": 2}, {\"weight\": 14918, \"source\": 0, \"target\": 6}, {\"weight\": 14323, \"source\": 0, \"target\": 8}, {\"weight\": 11777, \"source\": 0, \"target\": 5}, {\"weight\": 12344, \"source\": 1, \"target\": 4}, {\"weight\": 10020, \"source\": 1, \"target\": 7}, {\"weight\": 11319, \"source\": 1, \"target\": 3}, {\"weight\": 17559, \"source\": 1, \"target\": 2}, {\"weight\": 6259, \"source\": 1, \"target\": 6}, {\"weight\": 14057, \"source\": 1, \"target\": 8}, {\"weight\": 3808, \"source\": 1, \"target\": 5}, {\"weight\": 15670, \"source\": 2, \"target\": 4}, {\"weight\": 14369, \"source\": 2, \"target\": 7}, {\"weight\": 8728, \"source\": 2, \"target\": 3}, {\"weight\": 18283, \"source\": 2, \"target\": 6}, {\"weight\": 4251, \"source\": 2, \"target\": 8}, {\"weight\": 19960, \"source\": 2, \"target\": 5}, {\"weight\": 15950, \"source\": 3, \"target\": 4}, {\"weight\": 13736, \"source\": 3, \"target\": 7}, {\"weight\": 15170, \"source\": 3, \"target\": 6}, {\"weight\": 5887, \"source\": 3, \"target\": 8}, {\"weight\": 13166, \"source\": 3, \"target\": 5}, {\"weight\": 3238, \"source\": 4, \"target\": 7}, {\"weight\": 11311, \"source\": 4, \"target\": 6}, {\"weight\": 17608, \"source\": 4, \"target\": 8}, {\"weight\": 9530, \"source\": 4, \"target\": 5}, {\"weight\": 7530, \"source\": 5, \"target\": 7}, {\"weight\": 5105, \"source\": 5, \"target\": 6}, {\"weight\": 16481, \"source\": 5, \"target\": 8}, {\"weight\": 9582, \"source\": 6, \"target\": 7}, {\"weight\": 17313, \"source\": 6, \"target\": 8}, {\"weight\": 16122, \"source\": 7, \"target\": 8}]}",
"id": 905,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, ERZ, HKK, ROR, TMU, DIJ, NYI, SDF, BEU\n- Travel distances (in kilometers) between each pair of airports:\nCIK to TMU: 8346\nCIK to ERZ: 13736\nCIK to SDF: 5708\nCIK to ROR: 12588\nCIK to HKK: 13153\nCIK to NYI: 14918\nCIK to BEU: 14323\nCIK to DIJ: 11777\nERZ to TMU: 12344\nERZ to SDF: 10020\nERZ to ROR: 11319\nERZ to HKK: 17559\nERZ to NYI: 6259\nERZ to BEU: 14057\nERZ to DIJ: 3808\nHKK to TMU: 15670\nHKK to SDF: 14369\nHKK to ROR: 8728\nHKK to NYI: 18283\nHKK to BEU: 4251\nHKK to DIJ: 19960\nROR to TMU: 15950\nROR to SDF: 13736\nROR to NYI: 15170\nROR to BEU: 5887\nROR to DIJ: 13166\nTMU to SDF: 3238\nTMU to NYI: 11311\nTMU to BEU: 17608\nTMU to DIJ: 9530\nDIJ to SDF: 7530\nDIJ to NYI: 5105\nDIJ to BEU: 16481\nNYI to SDF: 9582\nNYI to BEU: 17313\nSDF to BEU: 16122\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TPP, KTN, YLC, WAT, PMI, KOA, KNG, HDN, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nTPP to KTN: 8995\nTPP to PMI: 10690\nTPP to YLC: 8302\nTPP to KOA: 10904\nTPP to WAT: 10753\nTPP to KCQ: 10900\nTPP to KNG: 21254\nTPP to HDN: 6511\nKTN to PMI: 10100\nKTN to YLC: 5438\nKTN to KOA: 5418\nKTN to WAT: 8904\nKTN to KCQ: 2052\nKTN to KNG: 15845\nKTN to HDN: 2971\nYLC to PMI: 7664\nYLC to KOA: 8643\nYLC to WAT: 6906\nYLC to KCQ: 7432\nYLC to KNG: 18735\nYLC to HDN: 4257\nWAT to PMI: 1838\nWAT to KOA: 12070\nWAT to KCQ: 10898\nWAT to KNG: 14757\nWAT to HDN: 7962\nPMI to KOA: 13302\nPMI to KCQ: 12094\nPMI to KNG: 14349\nPMI to HDN: 8934\nKOA to KCQ: 5497\nKOA to KNG: 12833\nKOA to HDN: 5586\nKNG to KCQ: 17806\nKNG to HDN: 16625\nHDN to KCQ: 4859\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61259,
"style": "rule"
}
|
{
"exact_answer": 61259,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TPP\", \"id\": 0}, {\"name\": \"KTN\", \"id\": 1}, {\"name\": \"YLC\", \"id\": 2}, {\"name\": \"WAT\", \"id\": 3}, {\"name\": \"PMI\", \"id\": 4}, {\"name\": \"KOA\", \"id\": 5}, {\"name\": \"KNG\", \"id\": 6}, {\"name\": \"HDN\", \"id\": 7}, {\"name\": \"KCQ\", \"id\": 8}], \"links\": [{\"weight\": 8995, \"source\": 0, \"target\": 1}, {\"weight\": 10690, \"source\": 0, \"target\": 4}, {\"weight\": 8302, \"source\": 0, \"target\": 2}, {\"weight\": 10904, \"source\": 0, \"target\": 5}, {\"weight\": 10753, \"source\": 0, \"target\": 3}, {\"weight\": 10900, \"source\": 0, \"target\": 8}, {\"weight\": 21254, \"source\": 0, \"target\": 6}, {\"weight\": 6511, \"source\": 0, \"target\": 7}, {\"weight\": 10100, \"source\": 1, \"target\": 4}, {\"weight\": 5438, \"source\": 1, \"target\": 2}, {\"weight\": 5418, \"source\": 1, \"target\": 5}, {\"weight\": 8904, \"source\": 1, \"target\": 3}, {\"weight\": 2052, \"source\": 1, \"target\": 8}, {\"weight\": 15845, \"source\": 1, \"target\": 6}, {\"weight\": 2971, \"source\": 1, \"target\": 7}, {\"weight\": 7664, \"source\": 2, \"target\": 4}, {\"weight\": 8643, \"source\": 2, \"target\": 5}, {\"weight\": 6906, \"source\": 2, \"target\": 3}, {\"weight\": 7432, \"source\": 2, \"target\": 8}, {\"weight\": 18735, \"source\": 2, \"target\": 6}, {\"weight\": 4257, \"source\": 2, \"target\": 7}, {\"weight\": 1838, \"source\": 3, \"target\": 4}, {\"weight\": 12070, \"source\": 3, \"target\": 5}, {\"weight\": 10898, \"source\": 3, \"target\": 8}, {\"weight\": 14757, \"source\": 3, \"target\": 6}, {\"weight\": 7962, \"source\": 3, \"target\": 7}, {\"weight\": 13302, \"source\": 4, \"target\": 5}, {\"weight\": 12094, \"source\": 4, \"target\": 8}, {\"weight\": 14349, \"source\": 4, \"target\": 6}, {\"weight\": 8934, \"source\": 4, \"target\": 7}, {\"weight\": 5497, \"source\": 5, \"target\": 8}, {\"weight\": 12833, \"source\": 5, \"target\": 6}, {\"weight\": 5586, \"source\": 5, \"target\": 7}, {\"weight\": 17806, \"source\": 6, \"target\": 8}, {\"weight\": 16625, \"source\": 6, \"target\": 7}, {\"weight\": 4859, \"source\": 7, \"target\": 8}]}",
"id": 906,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TPP, KTN, YLC, WAT, PMI, KOA, KNG, HDN, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nTPP to KTN: 8995\nTPP to PMI: 10690\nTPP to YLC: 8302\nTPP to KOA: 10904\nTPP to WAT: 10753\nTPP to KCQ: 10900\nTPP to KNG: 21254\nTPP to HDN: 6511\nKTN to PMI: 10100\nKTN to YLC: 5438\nKTN to KOA: 5418\nKTN to WAT: 8904\nKTN to KCQ: 2052\nKTN to KNG: 15845\nKTN to HDN: 2971\nYLC to PMI: 7664\nYLC to KOA: 8643\nYLC to WAT: 6906\nYLC to KCQ: 7432\nYLC to KNG: 18735\nYLC to HDN: 4257\nWAT to PMI: 1838\nWAT to KOA: 12070\nWAT to KCQ: 10898\nWAT to KNG: 14757\nWAT to HDN: 7962\nPMI to KOA: 13302\nPMI to KCQ: 12094\nPMI to KNG: 14349\nPMI to HDN: 8934\nKOA to KCQ: 5497\nKOA to KNG: 12833\nKOA to HDN: 5586\nKNG to KCQ: 17806\nKNG to HDN: 16625\nHDN to KCQ: 4859\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSP, BOC, EUG, MRE, AYQ, GJA, SKO, DCN, IFJ\n- Travel distances (in kilometers) between each pair of airports:\nMSP to BOC: 4314\nMSP to EUG: 2457\nMSP to MRE: 13932\nMSP to AYQ: 16245\nMSP to IFJ: 8307\nMSP to DCN: 19335\nMSP to GJA: 3565\nMSP to SKO: 10854\nBOC to EUG: 5644\nBOC to MRE: 15639\nBOC to AYQ: 18439\nBOC to IFJ: 10981\nBOC to DCN: 21529\nBOC to GJA: 1102\nBOC to SKO: 12365\nEUG to MRE: 15527\nEUG to AYQ: 14207\nEUG to IFJ: 9236\nEUG to DCN: 17297\nEUG to GJA: 4880\nEUG to SKO: 13311\nMRE to AYQ: 11653\nMRE to IFJ: 12412\nMRE to DCN: 11124\nMRE to GJA: 15636\nMRE to SKO: 4954\nAYQ to IFJ: 19271\nAYQ to DCN: 4091\nAYQ to GJA: 17767\nAYQ to SKO: 15583\nGJA to IFJ: 10387\nGJA to DCN: 20857\nGJA to SKO: 12385\nSKO to IFJ: 10206\nSKO to DCN: 15054\nDCN to IFJ: 20416\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62687,
"style": "rule"
}
|
{
"exact_answer": 62687,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSP\", \"id\": 0}, {\"name\": \"BOC\", \"id\": 1}, {\"name\": \"EUG\", \"id\": 2}, {\"name\": \"MRE\", \"id\": 3}, {\"name\": \"AYQ\", \"id\": 4}, {\"name\": \"GJA\", \"id\": 5}, {\"name\": \"SKO\", \"id\": 6}, {\"name\": \"DCN\", \"id\": 7}, {\"name\": \"IFJ\", \"id\": 8}], \"links\": [{\"weight\": 4314, \"source\": 0, \"target\": 1}, {\"weight\": 2457, \"source\": 0, \"target\": 2}, {\"weight\": 13932, \"source\": 0, \"target\": 3}, {\"weight\": 16245, \"source\": 0, \"target\": 4}, {\"weight\": 8307, \"source\": 0, \"target\": 8}, {\"weight\": 19335, \"source\": 0, \"target\": 7}, {\"weight\": 3565, \"source\": 0, \"target\": 5}, {\"weight\": 10854, \"source\": 0, \"target\": 6}, {\"weight\": 5644, \"source\": 1, \"target\": 2}, {\"weight\": 15639, \"source\": 1, \"target\": 3}, {\"weight\": 18439, \"source\": 1, \"target\": 4}, {\"weight\": 10981, \"source\": 1, \"target\": 8}, {\"weight\": 21529, \"source\": 1, \"target\": 7}, {\"weight\": 1102, \"source\": 1, \"target\": 5}, {\"weight\": 12365, \"source\": 1, \"target\": 6}, {\"weight\": 15527, \"source\": 2, \"target\": 3}, {\"weight\": 14207, \"source\": 2, \"target\": 4}, {\"weight\": 9236, \"source\": 2, \"target\": 8}, {\"weight\": 17297, \"source\": 2, \"target\": 7}, {\"weight\": 4880, \"source\": 2, \"target\": 5}, {\"weight\": 13311, \"source\": 2, \"target\": 6}, {\"weight\": 11653, \"source\": 3, \"target\": 4}, {\"weight\": 12412, \"source\": 3, \"target\": 8}, {\"weight\": 11124, \"source\": 3, \"target\": 7}, {\"weight\": 15636, \"source\": 3, \"target\": 5}, {\"weight\": 4954, \"source\": 3, \"target\": 6}, {\"weight\": 19271, \"source\": 4, \"target\": 8}, {\"weight\": 4091, \"source\": 4, \"target\": 7}, {\"weight\": 17767, \"source\": 4, \"target\": 5}, {\"weight\": 15583, \"source\": 4, \"target\": 6}, {\"weight\": 10387, \"source\": 5, \"target\": 8}, {\"weight\": 20857, \"source\": 5, \"target\": 7}, {\"weight\": 12385, \"source\": 5, \"target\": 6}, {\"weight\": 10206, \"source\": 6, \"target\": 8}, {\"weight\": 15054, \"source\": 6, \"target\": 7}, {\"weight\": 20416, \"source\": 7, \"target\": 8}]}",
"id": 907,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSP, BOC, EUG, MRE, AYQ, GJA, SKO, DCN, IFJ\n- Travel distances (in kilometers) between each pair of airports:\nMSP to BOC: 4314\nMSP to EUG: 2457\nMSP to MRE: 13932\nMSP to AYQ: 16245\nMSP to IFJ: 8307\nMSP to DCN: 19335\nMSP to GJA: 3565\nMSP to SKO: 10854\nBOC to EUG: 5644\nBOC to MRE: 15639\nBOC to AYQ: 18439\nBOC to IFJ: 10981\nBOC to DCN: 21529\nBOC to GJA: 1102\nBOC to SKO: 12365\nEUG to MRE: 15527\nEUG to AYQ: 14207\nEUG to IFJ: 9236\nEUG to DCN: 17297\nEUG to GJA: 4880\nEUG to SKO: 13311\nMRE to AYQ: 11653\nMRE to IFJ: 12412\nMRE to DCN: 11124\nMRE to GJA: 15636\nMRE to SKO: 4954\nAYQ to IFJ: 19271\nAYQ to DCN: 4091\nAYQ to GJA: 17767\nAYQ to SKO: 15583\nGJA to IFJ: 10387\nGJA to DCN: 20857\nGJA to SKO: 12385\nSKO to IFJ: 10206\nSKO to DCN: 15054\nDCN to IFJ: 20416\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, UUA, ISE, TIM, YAA, YDQ, QJH, CSX, UNG\n- Travel distances (in kilometers) between each pair of airports:\nUKB to UUA: 7054\nUKB to CSX: 2206\nUKB to YAA: 8376\nUKB to YDQ: 8740\nUKB to UNG: 6678\nUKB to TIM: 7207\nUKB to QJH: 12308\nUKB to ISE: 9201\nUUA to CSX: 6470\nUUA to YAA: 10330\nUUA to YDQ: 10374\nUUA to UNG: 12586\nUUA to TIM: 11902\nUUA to QJH: 6192\nUUA to ISE: 3083\nISE to CSX: 8022\nISE to YAA: 10632\nISE to YDQ: 10676\nISE to UNG: 14249\nISE to TIM: 12894\nISE to QJH: 6494\nTIM to CSX: 5786\nTIM to YAA: 15333\nTIM to YDQ: 15697\nTIM to UNG: 6712\nTIM to QJH: 17366\nYAA to CSX: 10154\nYAA to YDQ: 1146\nYAA to UNG: 13722\nYAA to QJH: 8104\nYDQ to CSX: 10518\nYDQ to UNG: 14086\nYDQ to QJH: 8148\nQJH to CSX: 11648\nQJH to UNG: 18050\nCSX to UNG: 6469\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52893,
"style": "rule"
}
|
{
"exact_answer": 52893,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKB\", \"id\": 0}, {\"name\": \"UUA\", \"id\": 1}, {\"name\": \"ISE\", \"id\": 2}, {\"name\": \"TIM\", \"id\": 3}, {\"name\": \"YAA\", \"id\": 4}, {\"name\": \"YDQ\", \"id\": 5}, {\"name\": \"QJH\", \"id\": 6}, {\"name\": \"CSX\", \"id\": 7}, {\"name\": \"UNG\", \"id\": 8}], \"links\": [{\"weight\": 7054, \"source\": 0, \"target\": 1}, {\"weight\": 2206, \"source\": 0, \"target\": 7}, {\"weight\": 8376, \"source\": 0, \"target\": 4}, {\"weight\": 8740, \"source\": 0, \"target\": 5}, {\"weight\": 6678, \"source\": 0, \"target\": 8}, {\"weight\": 7207, \"source\": 0, \"target\": 3}, {\"weight\": 12308, \"source\": 0, \"target\": 6}, {\"weight\": 9201, \"source\": 0, \"target\": 2}, {\"weight\": 6470, \"source\": 1, \"target\": 7}, {\"weight\": 10330, \"source\": 1, \"target\": 4}, {\"weight\": 10374, \"source\": 1, \"target\": 5}, {\"weight\": 12586, \"source\": 1, \"target\": 8}, {\"weight\": 11902, \"source\": 1, \"target\": 3}, {\"weight\": 6192, \"source\": 1, \"target\": 6}, {\"weight\": 3083, \"source\": 1, \"target\": 2}, {\"weight\": 8022, \"source\": 2, \"target\": 7}, {\"weight\": 10632, \"source\": 2, \"target\": 4}, {\"weight\": 10676, \"source\": 2, \"target\": 5}, {\"weight\": 14249, \"source\": 2, \"target\": 8}, {\"weight\": 12894, \"source\": 2, \"target\": 3}, {\"weight\": 6494, \"source\": 2, \"target\": 6}, {\"weight\": 5786, \"source\": 3, \"target\": 7}, {\"weight\": 15333, \"source\": 3, \"target\": 4}, {\"weight\": 15697, \"source\": 3, \"target\": 5}, {\"weight\": 6712, \"source\": 3, \"target\": 8}, {\"weight\": 17366, \"source\": 3, \"target\": 6}, {\"weight\": 10154, \"source\": 4, \"target\": 7}, {\"weight\": 1146, \"source\": 4, \"target\": 5}, {\"weight\": 13722, \"source\": 4, \"target\": 8}, {\"weight\": 8104, \"source\": 4, \"target\": 6}, {\"weight\": 10518, \"source\": 5, \"target\": 7}, {\"weight\": 14086, \"source\": 5, \"target\": 8}, {\"weight\": 8148, \"source\": 5, \"target\": 6}, {\"weight\": 11648, \"source\": 6, \"target\": 7}, {\"weight\": 18050, \"source\": 6, \"target\": 8}, {\"weight\": 6469, \"source\": 7, \"target\": 8}]}",
"id": 908,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, UUA, ISE, TIM, YAA, YDQ, QJH, CSX, UNG\n- Travel distances (in kilometers) between each pair of airports:\nUKB to UUA: 7054\nUKB to CSX: 2206\nUKB to YAA: 8376\nUKB to YDQ: 8740\nUKB to UNG: 6678\nUKB to TIM: 7207\nUKB to QJH: 12308\nUKB to ISE: 9201\nUUA to CSX: 6470\nUUA to YAA: 10330\nUUA to YDQ: 10374\nUUA to UNG: 12586\nUUA to TIM: 11902\nUUA to QJH: 6192\nUUA to ISE: 3083\nISE to CSX: 8022\nISE to YAA: 10632\nISE to YDQ: 10676\nISE to UNG: 14249\nISE to TIM: 12894\nISE to QJH: 6494\nTIM to CSX: 5786\nTIM to YAA: 15333\nTIM to YDQ: 15697\nTIM to UNG: 6712\nTIM to QJH: 17366\nYAA to CSX: 10154\nYAA to YDQ: 1146\nYAA to UNG: 13722\nYAA to QJH: 8104\nYDQ to CSX: 10518\nYDQ to UNG: 14086\nYDQ to QJH: 8148\nQJH to CSX: 11648\nQJH to UNG: 18050\nCSX to UNG: 6469\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELF, PUJ, HOD, YDQ, AJL, FKL, NRK, PMF, DQA\n- Travel distances (in kilometers) between each pair of airports:\nELF to PUJ: 12346\nELF to YDQ: 13896\nELF to AJL: 7228\nELF to NRK: 6349\nELF to DQA: 10216\nELF to HOD: 2213\nELF to PMF: 5264\nELF to FKL: 12130\nPUJ to YDQ: 6709\nPUJ to AJL: 15343\nPUJ to NRK: 9121\nPUJ to DQA: 14477\nPUJ to HOD: 11954\nPUJ to PMF: 8063\nPUJ to FKL: 3009\nHOD to YDQ: 13530\nHOD to AJL: 5345\nHOD to NRK: 5825\nHOD to DQA: 8577\nHOD to PMF: 4820\nHOD to FKL: 11781\nYDQ to AJL: 13297\nYDQ to NRK: 9137\nYDQ to DQA: 10238\nYDQ to PMF: 9129\nYDQ to FKL: 4150\nAJL to NRK: 7495\nAJL to DQA: 5041\nAJL to PMF: 8477\nAJL to FKL: 13884\nFKL to NRK: 7617\nFKL to DQA: 11956\nFKL to PMF: 7284\nNRK to DQA: 7827\nNRK to PMF: 3398\nPMF to DQA: 9986\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47779,
"style": "rule"
}
|
{
"exact_answer": 47779,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ELF\", \"id\": 0}, {\"name\": \"PUJ\", \"id\": 1}, {\"name\": \"HOD\", \"id\": 2}, {\"name\": \"YDQ\", \"id\": 3}, {\"name\": \"AJL\", \"id\": 4}, {\"name\": \"FKL\", \"id\": 5}, {\"name\": \"NRK\", \"id\": 6}, {\"name\": \"PMF\", \"id\": 7}, {\"name\": \"DQA\", \"id\": 8}], \"links\": [{\"weight\": 12346, \"source\": 0, \"target\": 1}, {\"weight\": 13896, \"source\": 0, \"target\": 3}, {\"weight\": 7228, \"source\": 0, \"target\": 4}, {\"weight\": 6349, \"source\": 0, \"target\": 6}, {\"weight\": 10216, \"source\": 0, \"target\": 8}, {\"weight\": 2213, \"source\": 0, \"target\": 2}, {\"weight\": 5264, \"source\": 0, \"target\": 7}, {\"weight\": 12130, \"source\": 0, \"target\": 5}, {\"weight\": 6709, \"source\": 1, \"target\": 3}, {\"weight\": 15343, \"source\": 1, \"target\": 4}, {\"weight\": 9121, \"source\": 1, \"target\": 6}, {\"weight\": 14477, \"source\": 1, \"target\": 8}, {\"weight\": 11954, \"source\": 1, \"target\": 2}, {\"weight\": 8063, \"source\": 1, \"target\": 7}, {\"weight\": 3009, \"source\": 1, \"target\": 5}, {\"weight\": 13530, \"source\": 2, \"target\": 3}, {\"weight\": 5345, \"source\": 2, \"target\": 4}, {\"weight\": 5825, \"source\": 2, \"target\": 6}, {\"weight\": 8577, \"source\": 2, \"target\": 8}, {\"weight\": 4820, \"source\": 2, \"target\": 7}, {\"weight\": 11781, \"source\": 2, \"target\": 5}, {\"weight\": 13297, \"source\": 3, \"target\": 4}, {\"weight\": 9137, \"source\": 3, \"target\": 6}, {\"weight\": 10238, \"source\": 3, \"target\": 8}, {\"weight\": 9129, \"source\": 3, \"target\": 7}, {\"weight\": 4150, \"source\": 3, \"target\": 5}, {\"weight\": 7495, \"source\": 4, \"target\": 6}, {\"weight\": 5041, \"source\": 4, \"target\": 8}, {\"weight\": 8477, \"source\": 4, \"target\": 7}, {\"weight\": 13884, \"source\": 4, \"target\": 5}, {\"weight\": 7617, \"source\": 5, \"target\": 6}, {\"weight\": 11956, \"source\": 5, \"target\": 8}, {\"weight\": 7284, \"source\": 5, \"target\": 7}, {\"weight\": 7827, \"source\": 6, \"target\": 8}, {\"weight\": 3398, \"source\": 6, \"target\": 7}, {\"weight\": 9986, \"source\": 7, \"target\": 8}]}",
"id": 909,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELF, PUJ, HOD, YDQ, AJL, FKL, NRK, PMF, DQA\n- Travel distances (in kilometers) between each pair of airports:\nELF to PUJ: 12346\nELF to YDQ: 13896\nELF to AJL: 7228\nELF to NRK: 6349\nELF to DQA: 10216\nELF to HOD: 2213\nELF to PMF: 5264\nELF to FKL: 12130\nPUJ to YDQ: 6709\nPUJ to AJL: 15343\nPUJ to NRK: 9121\nPUJ to DQA: 14477\nPUJ to HOD: 11954\nPUJ to PMF: 8063\nPUJ to FKL: 3009\nHOD to YDQ: 13530\nHOD to AJL: 5345\nHOD to NRK: 5825\nHOD to DQA: 8577\nHOD to PMF: 4820\nHOD to FKL: 11781\nYDQ to AJL: 13297\nYDQ to NRK: 9137\nYDQ to DQA: 10238\nYDQ to PMF: 9129\nYDQ to FKL: 4150\nAJL to NRK: 7495\nAJL to DQA: 5041\nAJL to PMF: 8477\nAJL to FKL: 13884\nFKL to NRK: 7617\nFKL to DQA: 11956\nFKL to PMF: 7284\nNRK to DQA: 7827\nNRK to PMF: 3398\nPMF to DQA: 9986\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHX, TAC, UGC, LMC, LMA, BIA, KRL, YVM, ARN\n- Travel distances (in kilometers) between each pair of airports:\nSHX to ARN: 10911\nSHX to BIA: 11902\nSHX to TAC: 14045\nSHX to YVM: 7653\nSHX to LMA: 1288\nSHX to LMC: 9643\nSHX to KRL: 14198\nSHX to UGC: 14404\nTAC to ARN: 9919\nTAC to BIA: 11513\nTAC to YVM: 15418\nTAC to LMA: 13785\nTAC to LMC: 17867\nTAC to KRL: 5077\nTAC to UGC: 7223\nUGC to ARN: 3589\nUGC to BIA: 4711\nUGC to YVM: 11463\nUGC to LMA: 14144\nUGC to LMC: 13329\nUGC to KRL: 2503\nLMC to ARN: 10043\nLMC to BIA: 9333\nLMC to YVM: 7262\nLMC to LMA: 9478\nLMC to KRL: 15085\nLMA to ARN: 10651\nLMA to BIA: 11642\nLMA to YVM: 7393\nLMA to KRL: 13938\nBIA to ARN: 1986\nBIA to YVM: 7908\nBIA to KRL: 6740\nKRL to ARN: 5215\nKRL to YVM: 13169\nYVM to ARN: 8126\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52476,
"style": "rule"
}
|
{
"exact_answer": 52476,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SHX\", \"id\": 0}, {\"name\": \"TAC\", \"id\": 1}, {\"name\": \"UGC\", \"id\": 2}, {\"name\": \"LMC\", \"id\": 3}, {\"name\": \"LMA\", \"id\": 4}, {\"name\": \"BIA\", \"id\": 5}, {\"name\": \"KRL\", \"id\": 6}, {\"name\": \"YVM\", \"id\": 7}, {\"name\": \"ARN\", \"id\": 8}], \"links\": [{\"weight\": 10911, \"source\": 0, \"target\": 8}, {\"weight\": 11902, \"source\": 0, \"target\": 5}, {\"weight\": 14045, \"source\": 0, \"target\": 1}, {\"weight\": 7653, \"source\": 0, \"target\": 7}, {\"weight\": 1288, \"source\": 0, \"target\": 4}, {\"weight\": 9643, \"source\": 0, \"target\": 3}, {\"weight\": 14198, \"source\": 0, \"target\": 6}, {\"weight\": 14404, \"source\": 0, \"target\": 2}, {\"weight\": 9919, \"source\": 1, \"target\": 8}, {\"weight\": 11513, \"source\": 1, \"target\": 5}, {\"weight\": 15418, \"source\": 1, \"target\": 7}, {\"weight\": 13785, \"source\": 1, \"target\": 4}, {\"weight\": 17867, \"source\": 1, \"target\": 3}, {\"weight\": 5077, \"source\": 1, \"target\": 6}, {\"weight\": 7223, \"source\": 1, \"target\": 2}, {\"weight\": 3589, \"source\": 2, \"target\": 8}, {\"weight\": 4711, \"source\": 2, \"target\": 5}, {\"weight\": 11463, \"source\": 2, \"target\": 7}, {\"weight\": 14144, \"source\": 2, \"target\": 4}, {\"weight\": 13329, \"source\": 2, \"target\": 3}, {\"weight\": 2503, \"source\": 2, \"target\": 6}, {\"weight\": 10043, \"source\": 3, \"target\": 8}, {\"weight\": 9333, \"source\": 3, \"target\": 5}, {\"weight\": 7262, \"source\": 3, \"target\": 7}, {\"weight\": 9478, \"source\": 3, \"target\": 4}, {\"weight\": 15085, \"source\": 3, \"target\": 6}, {\"weight\": 10651, \"source\": 4, \"target\": 8}, {\"weight\": 11642, \"source\": 4, \"target\": 5}, {\"weight\": 7393, \"source\": 4, \"target\": 7}, {\"weight\": 13938, \"source\": 4, \"target\": 6}, {\"weight\": 1986, \"source\": 5, \"target\": 8}, {\"weight\": 7908, \"source\": 5, \"target\": 7}, {\"weight\": 6740, \"source\": 5, \"target\": 6}, {\"weight\": 5215, \"source\": 6, \"target\": 8}, {\"weight\": 13169, \"source\": 6, \"target\": 7}, {\"weight\": 8126, \"source\": 7, \"target\": 8}]}",
"id": 910,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHX, TAC, UGC, LMC, LMA, BIA, KRL, YVM, ARN\n- Travel distances (in kilometers) between each pair of airports:\nSHX to ARN: 10911\nSHX to BIA: 11902\nSHX to TAC: 14045\nSHX to YVM: 7653\nSHX to LMA: 1288\nSHX to LMC: 9643\nSHX to KRL: 14198\nSHX to UGC: 14404\nTAC to ARN: 9919\nTAC to BIA: 11513\nTAC to YVM: 15418\nTAC to LMA: 13785\nTAC to LMC: 17867\nTAC to KRL: 5077\nTAC to UGC: 7223\nUGC to ARN: 3589\nUGC to BIA: 4711\nUGC to YVM: 11463\nUGC to LMA: 14144\nUGC to LMC: 13329\nUGC to KRL: 2503\nLMC to ARN: 10043\nLMC to BIA: 9333\nLMC to YVM: 7262\nLMC to LMA: 9478\nLMC to KRL: 15085\nLMA to ARN: 10651\nLMA to BIA: 11642\nLMA to YVM: 7393\nLMA to KRL: 13938\nBIA to ARN: 1986\nBIA to YVM: 7908\nBIA to KRL: 6740\nKRL to ARN: 5215\nKRL to YVM: 13169\nYVM to ARN: 8126\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DKR, SIN, HVD, PSP, LXR, GNM, PKB, ELQ, KTE\n- Travel distances (in kilometers) between each pair of airports:\nDKR to SIN: 13461\nDKR to PSP: 9960\nDKR to GNM: 4819\nDKR to ELQ: 7032\nDKR to KTE: 13462\nDKR to LXR: 6286\nDKR to HVD: 12275\nDKR to PKB: 7034\nSIN to PSP: 14260\nSIN to GNM: 18046\nSIN to ELQ: 6996\nSIN to KTE: 595\nSIN to LXR: 8080\nSIN to HVD: 6380\nSIN to PKB: 15520\nHVD to PSP: 12462\nHVD to GNM: 16611\nHVD to ELQ: 7252\nHVD to KTE: 6422\nHVD to LXR: 8115\nHVD to PKB: 13324\nPSP to GNM: 10341\nPSP to ELQ: 13236\nPSP to KTE: 14736\nPSP to LXR: 12674\nPSP to PKB: 3391\nLXR to GNM: 10967\nLXR to ELQ: 1487\nLXR to KTE: 8105\nLXR to PKB: 10236\nGNM to ELQ: 11740\nGNM to KTE: 18281\nGNM to PKB: 8729\nPKB to ELQ: 10873\nPKB to KTE: 15805\nELQ to KTE: 7005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51154,
"style": "rule"
}
|
{
"exact_answer": 51154,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DKR\", \"id\": 0}, {\"name\": \"SIN\", \"id\": 1}, {\"name\": \"HVD\", \"id\": 2}, {\"name\": \"PSP\", \"id\": 3}, {\"name\": \"LXR\", \"id\": 4}, {\"name\": \"GNM\", \"id\": 5}, {\"name\": \"PKB\", \"id\": 6}, {\"name\": \"ELQ\", \"id\": 7}, {\"name\": \"KTE\", \"id\": 8}], \"links\": [{\"weight\": 13461, \"source\": 0, \"target\": 1}, {\"weight\": 9960, \"source\": 0, \"target\": 3}, {\"weight\": 4819, \"source\": 0, \"target\": 5}, {\"weight\": 7032, \"source\": 0, \"target\": 7}, {\"weight\": 13462, \"source\": 0, \"target\": 8}, {\"weight\": 6286, \"source\": 0, \"target\": 4}, {\"weight\": 12275, \"source\": 0, \"target\": 2}, {\"weight\": 7034, \"source\": 0, \"target\": 6}, {\"weight\": 14260, \"source\": 1, \"target\": 3}, {\"weight\": 18046, \"source\": 1, \"target\": 5}, {\"weight\": 6996, \"source\": 1, \"target\": 7}, {\"weight\": 595, \"source\": 1, \"target\": 8}, {\"weight\": 8080, \"source\": 1, \"target\": 4}, {\"weight\": 6380, \"source\": 1, \"target\": 2}, {\"weight\": 15520, \"source\": 1, \"target\": 6}, {\"weight\": 12462, \"source\": 2, \"target\": 3}, {\"weight\": 16611, \"source\": 2, \"target\": 5}, {\"weight\": 7252, \"source\": 2, \"target\": 7}, {\"weight\": 6422, \"source\": 2, \"target\": 8}, {\"weight\": 8115, \"source\": 2, \"target\": 4}, {\"weight\": 13324, \"source\": 2, \"target\": 6}, {\"weight\": 10341, \"source\": 3, \"target\": 5}, {\"weight\": 13236, \"source\": 3, \"target\": 7}, {\"weight\": 14736, \"source\": 3, \"target\": 8}, {\"weight\": 12674, \"source\": 3, \"target\": 4}, {\"weight\": 3391, \"source\": 3, \"target\": 6}, {\"weight\": 10967, \"source\": 4, \"target\": 5}, {\"weight\": 1487, \"source\": 4, \"target\": 7}, {\"weight\": 8105, \"source\": 4, \"target\": 8}, {\"weight\": 10236, \"source\": 4, \"target\": 6}, {\"weight\": 11740, \"source\": 5, \"target\": 7}, {\"weight\": 18281, \"source\": 5, \"target\": 8}, {\"weight\": 8729, \"source\": 5, \"target\": 6}, {\"weight\": 10873, \"source\": 6, \"target\": 7}, {\"weight\": 15805, \"source\": 6, \"target\": 8}, {\"weight\": 7005, \"source\": 7, \"target\": 8}]}",
"id": 911,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DKR, SIN, HVD, PSP, LXR, GNM, PKB, ELQ, KTE\n- Travel distances (in kilometers) between each pair of airports:\nDKR to SIN: 13461\nDKR to PSP: 9960\nDKR to GNM: 4819\nDKR to ELQ: 7032\nDKR to KTE: 13462\nDKR to LXR: 6286\nDKR to HVD: 12275\nDKR to PKB: 7034\nSIN to PSP: 14260\nSIN to GNM: 18046\nSIN to ELQ: 6996\nSIN to KTE: 595\nSIN to LXR: 8080\nSIN to HVD: 6380\nSIN to PKB: 15520\nHVD to PSP: 12462\nHVD to GNM: 16611\nHVD to ELQ: 7252\nHVD to KTE: 6422\nHVD to LXR: 8115\nHVD to PKB: 13324\nPSP to GNM: 10341\nPSP to ELQ: 13236\nPSP to KTE: 14736\nPSP to LXR: 12674\nPSP to PKB: 3391\nLXR to GNM: 10967\nLXR to ELQ: 1487\nLXR to KTE: 8105\nLXR to PKB: 10236\nGNM to ELQ: 11740\nGNM to KTE: 18281\nGNM to PKB: 8729\nPKB to ELQ: 10873\nPKB to KTE: 15805\nELQ to KTE: 7005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SVS, PLW, IPA, CCS, YKQ, JYV, AGP, YRB\n- Travel distances (in kilometers) between each pair of airports:\nYAK to YRB: 7584\nYAK to AGP: 11047\nYAK to SVS: 1159\nYAK to CCS: 8350\nYAK to JYV: 10267\nYAK to PLW: 14846\nYAK to IPA: 11310\nYAK to YKQ: 5316\nSVS to YRB: 8411\nSVS to AGP: 11832\nSVS to CCS: 9177\nSVS to JYV: 11094\nSVS to PLW: 15673\nSVS to IPA: 11275\nSVS to YKQ: 6143\nPLW to YRB: 18510\nPLW to AGP: 13369\nPLW to CCS: 19413\nPLW to JYV: 11147\nPLW to IPA: 7470\nPLW to YKQ: 16171\nIPA to YRB: 16310\nIPA to AGP: 18748\nIPA to CCS: 15876\nIPA to JYV: 15734\nIPA to YKQ: 14077\nCCS to YRB: 7583\nCCS to AGP: 6970\nCCS to JYV: 9586\nCCS to YKQ: 4736\nYKQ to YRB: 3297\nYKQ to AGP: 6510\nYKQ to JYV: 7766\nJYV to YRB: 9857\nJYV to AGP: 3586\nAGP to YRB: 9362\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57224,
"style": "rule"
}
|
{
"exact_answer": 57224,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAK\", \"id\": 0}, {\"name\": \"SVS\", \"id\": 1}, {\"name\": \"PLW\", \"id\": 2}, {\"name\": \"IPA\", \"id\": 3}, {\"name\": \"CCS\", \"id\": 4}, {\"name\": \"YKQ\", \"id\": 5}, {\"name\": \"JYV\", \"id\": 6}, {\"name\": \"AGP\", \"id\": 7}, {\"name\": \"YRB\", \"id\": 8}], \"links\": [{\"weight\": 7584, \"source\": 0, \"target\": 8}, {\"weight\": 11047, \"source\": 0, \"target\": 7}, {\"weight\": 1159, \"source\": 0, \"target\": 1}, {\"weight\": 8350, \"source\": 0, \"target\": 4}, {\"weight\": 10267, \"source\": 0, \"target\": 6}, {\"weight\": 14846, \"source\": 0, \"target\": 2}, {\"weight\": 11310, \"source\": 0, \"target\": 3}, {\"weight\": 5316, \"source\": 0, \"target\": 5}, {\"weight\": 8411, \"source\": 1, \"target\": 8}, {\"weight\": 11832, \"source\": 1, \"target\": 7}, {\"weight\": 9177, \"source\": 1, \"target\": 4}, {\"weight\": 11094, \"source\": 1, \"target\": 6}, {\"weight\": 15673, \"source\": 1, \"target\": 2}, {\"weight\": 11275, \"source\": 1, \"target\": 3}, {\"weight\": 6143, \"source\": 1, \"target\": 5}, {\"weight\": 18510, \"source\": 2, \"target\": 8}, {\"weight\": 13369, \"source\": 2, \"target\": 7}, {\"weight\": 19413, \"source\": 2, \"target\": 4}, {\"weight\": 11147, \"source\": 2, \"target\": 6}, {\"weight\": 7470, \"source\": 2, \"target\": 3}, {\"weight\": 16171, \"source\": 2, \"target\": 5}, {\"weight\": 16310, \"source\": 3, \"target\": 8}, {\"weight\": 18748, \"source\": 3, \"target\": 7}, {\"weight\": 15876, \"source\": 3, \"target\": 4}, {\"weight\": 15734, \"source\": 3, \"target\": 6}, {\"weight\": 14077, \"source\": 3, \"target\": 5}, {\"weight\": 7583, \"source\": 4, \"target\": 8}, {\"weight\": 6970, \"source\": 4, \"target\": 7}, {\"weight\": 9586, \"source\": 4, \"target\": 6}, {\"weight\": 4736, \"source\": 4, \"target\": 5}, {\"weight\": 3297, \"source\": 5, \"target\": 8}, {\"weight\": 6510, \"source\": 5, \"target\": 7}, {\"weight\": 7766, \"source\": 5, \"target\": 6}, {\"weight\": 9857, \"source\": 6, \"target\": 8}, {\"weight\": 3586, \"source\": 6, \"target\": 7}, {\"weight\": 9362, \"source\": 7, \"target\": 8}]}",
"id": 912,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SVS, PLW, IPA, CCS, YKQ, JYV, AGP, YRB\n- Travel distances (in kilometers) between each pair of airports:\nYAK to YRB: 7584\nYAK to AGP: 11047\nYAK to SVS: 1159\nYAK to CCS: 8350\nYAK to JYV: 10267\nYAK to PLW: 14846\nYAK to IPA: 11310\nYAK to YKQ: 5316\nSVS to YRB: 8411\nSVS to AGP: 11832\nSVS to CCS: 9177\nSVS to JYV: 11094\nSVS to PLW: 15673\nSVS to IPA: 11275\nSVS to YKQ: 6143\nPLW to YRB: 18510\nPLW to AGP: 13369\nPLW to CCS: 19413\nPLW to JYV: 11147\nPLW to IPA: 7470\nPLW to YKQ: 16171\nIPA to YRB: 16310\nIPA to AGP: 18748\nIPA to CCS: 15876\nIPA to JYV: 15734\nIPA to YKQ: 14077\nCCS to YRB: 7583\nCCS to AGP: 6970\nCCS to JYV: 9586\nCCS to YKQ: 4736\nYKQ to YRB: 3297\nYKQ to AGP: 6510\nYKQ to JYV: 7766\nJYV to YRB: 9857\nJYV to AGP: 3586\nAGP to YRB: 9362\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, WJR, MSA, BKQ, YQY, IKS, HKG, BHE, NPL\n- Travel distances (in kilometers) between each pair of airports:\nFOE to HKG: 13259\nFOE to YQY: 2999\nFOE to WJR: 14210\nFOE to BKQ: 15907\nFOE to BHE: 14531\nFOE to NPL: 14252\nFOE to IKS: 14192\nFOE to MSA: 2633\nWJR to HKG: 8700\nWJR to YQY: 12044\nWJR to BKQ: 13914\nWJR to BHE: 14829\nWJR to NPL: 15023\nWJR to IKS: 10894\nWJR to MSA: 14378\nMSA to HKG: 12856\nMSA to YQY: 3112\nMSA to BKQ: 15363\nMSA to BHE: 14239\nMSA to NPL: 13960\nMSA to IKS: 13989\nBKQ to HKG: 6697\nBKQ to YQY: 17415\nBKQ to BHE: 3426\nBKQ to NPL: 3359\nBKQ to IKS: 11104\nYQY to HKG: 14110\nYQY to BHE: 16048\nYQY to NPL: 15769\nYQY to IKS: 12910\nIKS to HKG: 5663\nIKS to BHE: 13436\nIKS to NPL: 13157\nHKG to BHE: 9538\nHKG to NPL: 9398\nBHE to NPL: 343\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58659,
"style": "rule"
}
|
{
"exact_answer": 58659,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FOE\", \"id\": 0}, {\"name\": \"WJR\", \"id\": 1}, {\"name\": \"MSA\", \"id\": 2}, {\"name\": \"BKQ\", \"id\": 3}, {\"name\": \"YQY\", \"id\": 4}, {\"name\": \"IKS\", \"id\": 5}, {\"name\": \"HKG\", \"id\": 6}, {\"name\": \"BHE\", \"id\": 7}, {\"name\": \"NPL\", \"id\": 8}], \"links\": [{\"weight\": 13259, \"source\": 0, \"target\": 6}, {\"weight\": 2999, \"source\": 0, \"target\": 4}, {\"weight\": 14210, \"source\": 0, \"target\": 1}, {\"weight\": 15907, \"source\": 0, \"target\": 3}, {\"weight\": 14531, \"source\": 0, \"target\": 7}, {\"weight\": 14252, \"source\": 0, \"target\": 8}, {\"weight\": 14192, \"source\": 0, \"target\": 5}, {\"weight\": 2633, \"source\": 0, \"target\": 2}, {\"weight\": 8700, \"source\": 1, \"target\": 6}, {\"weight\": 12044, \"source\": 1, \"target\": 4}, {\"weight\": 13914, \"source\": 1, \"target\": 3}, {\"weight\": 14829, \"source\": 1, \"target\": 7}, {\"weight\": 15023, \"source\": 1, \"target\": 8}, {\"weight\": 10894, \"source\": 1, \"target\": 5}, {\"weight\": 14378, \"source\": 1, \"target\": 2}, {\"weight\": 12856, \"source\": 2, \"target\": 6}, {\"weight\": 3112, \"source\": 2, \"target\": 4}, {\"weight\": 15363, \"source\": 2, \"target\": 3}, {\"weight\": 14239, \"source\": 2, \"target\": 7}, {\"weight\": 13960, \"source\": 2, \"target\": 8}, {\"weight\": 13989, \"source\": 2, \"target\": 5}, {\"weight\": 6697, \"source\": 3, \"target\": 6}, {\"weight\": 17415, \"source\": 3, \"target\": 4}, {\"weight\": 3426, \"source\": 3, \"target\": 7}, {\"weight\": 3359, \"source\": 3, \"target\": 8}, {\"weight\": 11104, \"source\": 3, \"target\": 5}, {\"weight\": 14110, \"source\": 4, \"target\": 6}, {\"weight\": 16048, \"source\": 4, \"target\": 7}, {\"weight\": 15769, \"source\": 4, \"target\": 8}, {\"weight\": 12910, \"source\": 4, \"target\": 5}, {\"weight\": 5663, \"source\": 5, \"target\": 6}, {\"weight\": 13436, \"source\": 5, \"target\": 7}, {\"weight\": 13157, \"source\": 5, \"target\": 8}, {\"weight\": 9538, \"source\": 6, \"target\": 7}, {\"weight\": 9398, \"source\": 6, \"target\": 8}, {\"weight\": 343, \"source\": 7, \"target\": 8}]}",
"id": 913,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, WJR, MSA, BKQ, YQY, IKS, HKG, BHE, NPL\n- Travel distances (in kilometers) between each pair of airports:\nFOE to HKG: 13259\nFOE to YQY: 2999\nFOE to WJR: 14210\nFOE to BKQ: 15907\nFOE to BHE: 14531\nFOE to NPL: 14252\nFOE to IKS: 14192\nFOE to MSA: 2633\nWJR to HKG: 8700\nWJR to YQY: 12044\nWJR to BKQ: 13914\nWJR to BHE: 14829\nWJR to NPL: 15023\nWJR to IKS: 10894\nWJR to MSA: 14378\nMSA to HKG: 12856\nMSA to YQY: 3112\nMSA to BKQ: 15363\nMSA to BHE: 14239\nMSA to NPL: 13960\nMSA to IKS: 13989\nBKQ to HKG: 6697\nBKQ to YQY: 17415\nBKQ to BHE: 3426\nBKQ to NPL: 3359\nBKQ to IKS: 11104\nYQY to HKG: 14110\nYQY to BHE: 16048\nYQY to NPL: 15769\nYQY to IKS: 12910\nIKS to HKG: 5663\nIKS to BHE: 13436\nIKS to NPL: 13157\nHKG to BHE: 9538\nHKG to NPL: 9398\nBHE to NPL: 343\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, AMD, WWK, CRL, IXM, DLI, NTN, LEN, NRK\n- Travel distances (in kilometers) between each pair of airports:\nBAL to AMD: 5153\nBAL to IXM: 6668\nBAL to NRK: 3796\nBAL to WWK: 14368\nBAL to CRL: 3242\nBAL to LEN: 3992\nBAL to NTN: 14373\nBAL to DLI: 8842\nAMD to IXM: 1719\nAMD to NRK: 6508\nAMD to WWK: 9851\nAMD to CRL: 6866\nAMD to LEN: 7529\nAMD to NTN: 9479\nAMD to DLI: 4182\nWWK to IXM: 8798\nWWK to NRK: 14160\nWWK to CRL: 15214\nWWK to LEN: 16553\nWWK to NTN: 2107\nWWK to DLI: 6511\nCRL to IXM: 8412\nCRL to NRK: 2490\nCRL to LEN: 1690\nCRL to NTN: 15464\nCRL to DLI: 10063\nIXM to NRK: 7842\nIXM to LEN: 9156\nIXM to NTN: 8402\nIXM to DLI: 3573\nDLI to NRK: 9218\nDLI to LEN: 11298\nDLI to NTN: 6628\nNTN to NRK: 14410\nNTN to LEN: 16803\nLEN to NRK: 3810\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41282,
"style": "rule"
}
|
{
"exact_answer": 41282,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BAL\", \"id\": 0}, {\"name\": \"AMD\", \"id\": 1}, {\"name\": \"WWK\", \"id\": 2}, {\"name\": \"CRL\", \"id\": 3}, {\"name\": \"IXM\", \"id\": 4}, {\"name\": \"DLI\", \"id\": 5}, {\"name\": \"NTN\", \"id\": 6}, {\"name\": \"LEN\", \"id\": 7}, {\"name\": \"NRK\", \"id\": 8}], \"links\": [{\"weight\": 5153, \"source\": 0, \"target\": 1}, {\"weight\": 6668, \"source\": 0, \"target\": 4}, {\"weight\": 3796, \"source\": 0, \"target\": 8}, {\"weight\": 14368, \"source\": 0, \"target\": 2}, {\"weight\": 3242, \"source\": 0, \"target\": 3}, {\"weight\": 3992, \"source\": 0, \"target\": 7}, {\"weight\": 14373, \"source\": 0, \"target\": 6}, {\"weight\": 8842, \"source\": 0, \"target\": 5}, {\"weight\": 1719, \"source\": 1, \"target\": 4}, {\"weight\": 6508, \"source\": 1, \"target\": 8}, {\"weight\": 9851, \"source\": 1, \"target\": 2}, {\"weight\": 6866, \"source\": 1, \"target\": 3}, {\"weight\": 7529, \"source\": 1, \"target\": 7}, {\"weight\": 9479, \"source\": 1, \"target\": 6}, {\"weight\": 4182, \"source\": 1, \"target\": 5}, {\"weight\": 8798, \"source\": 2, \"target\": 4}, {\"weight\": 14160, \"source\": 2, \"target\": 8}, {\"weight\": 15214, \"source\": 2, \"target\": 3}, {\"weight\": 16553, \"source\": 2, \"target\": 7}, {\"weight\": 2107, \"source\": 2, \"target\": 6}, {\"weight\": 6511, \"source\": 2, \"target\": 5}, {\"weight\": 8412, \"source\": 3, \"target\": 4}, {\"weight\": 2490, \"source\": 3, \"target\": 8}, {\"weight\": 1690, \"source\": 3, \"target\": 7}, {\"weight\": 15464, \"source\": 3, \"target\": 6}, {\"weight\": 10063, \"source\": 3, \"target\": 5}, {\"weight\": 7842, \"source\": 4, \"target\": 8}, {\"weight\": 9156, \"source\": 4, \"target\": 7}, {\"weight\": 8402, \"source\": 4, \"target\": 6}, {\"weight\": 3573, \"source\": 4, \"target\": 5}, {\"weight\": 9218, \"source\": 5, \"target\": 8}, {\"weight\": 11298, \"source\": 5, \"target\": 7}, {\"weight\": 6628, \"source\": 5, \"target\": 6}, {\"weight\": 14410, \"source\": 6, \"target\": 8}, {\"weight\": 16803, \"source\": 6, \"target\": 7}, {\"weight\": 3810, \"source\": 7, \"target\": 8}]}",
"id": 914,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, AMD, WWK, CRL, IXM, DLI, NTN, LEN, NRK\n- Travel distances (in kilometers) between each pair of airports:\nBAL to AMD: 5153\nBAL to IXM: 6668\nBAL to NRK: 3796\nBAL to WWK: 14368\nBAL to CRL: 3242\nBAL to LEN: 3992\nBAL to NTN: 14373\nBAL to DLI: 8842\nAMD to IXM: 1719\nAMD to NRK: 6508\nAMD to WWK: 9851\nAMD to CRL: 6866\nAMD to LEN: 7529\nAMD to NTN: 9479\nAMD to DLI: 4182\nWWK to IXM: 8798\nWWK to NRK: 14160\nWWK to CRL: 15214\nWWK to LEN: 16553\nWWK to NTN: 2107\nWWK to DLI: 6511\nCRL to IXM: 8412\nCRL to NRK: 2490\nCRL to LEN: 1690\nCRL to NTN: 15464\nCRL to DLI: 10063\nIXM to NRK: 7842\nIXM to LEN: 9156\nIXM to NTN: 8402\nIXM to DLI: 3573\nDLI to NRK: 9218\nDLI to LEN: 11298\nDLI to NTN: 6628\nNTN to NRK: 14410\nNTN to LEN: 16803\nLEN to NRK: 3810\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFT, UUA, BGO, LLF, YLH, CMW, YGW, NSK, VOG\n- Travel distances (in kilometers) between each pair of airports:\nLFT to UUA: 10369\nLFT to YGW: 3434\nLFT to BGO: 7632\nLFT to VOG: 10391\nLFT to LLF: 13353\nLFT to CMW: 2639\nLFT to NSK: 11700\nLFT to YLH: 3348\nUUA to YGW: 9618\nUUA to BGO: 2852\nUUA to VOG: 1809\nUUA to LLF: 6677\nUUA to CMW: 10859\nUUA to NSK: 3816\nUUA to YLH: 9728\nBGO to YGW: 6898\nBGO to VOG: 2853\nBGO to LLF: 8515\nBGO to CMW: 8139\nBGO to NSK: 4183\nBGO to YLH: 7008\nLLF to YGW: 13400\nLLF to VOG: 6719\nLLF to CMW: 14605\nLLF to NSK: 5552\nLLF to YLH: 12871\nYLH to YGW: 1899\nYLH to VOG: 9741\nYLH to CMW: 3829\nYLH to NSK: 11059\nCMW to YGW: 3827\nCMW to VOG: 10872\nCMW to NSK: 12190\nYGW to VOG: 9514\nYGW to NSK: 10949\nNSK to VOG: 3721\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42552,
"style": "rule"
}
|
{
"exact_answer": 42552,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LFT\", \"id\": 0}, {\"name\": \"UUA\", \"id\": 1}, {\"name\": \"BGO\", \"id\": 2}, {\"name\": \"LLF\", \"id\": 3}, {\"name\": \"YLH\", \"id\": 4}, {\"name\": \"CMW\", \"id\": 5}, {\"name\": \"YGW\", \"id\": 6}, {\"name\": \"NSK\", \"id\": 7}, {\"name\": \"VOG\", \"id\": 8}], \"links\": [{\"weight\": 10369, \"source\": 0, \"target\": 1}, {\"weight\": 3434, \"source\": 0, \"target\": 6}, {\"weight\": 7632, \"source\": 0, \"target\": 2}, {\"weight\": 10391, \"source\": 0, \"target\": 8}, {\"weight\": 13353, \"source\": 0, \"target\": 3}, {\"weight\": 2639, \"source\": 0, \"target\": 5}, {\"weight\": 11700, \"source\": 0, \"target\": 7}, {\"weight\": 3348, \"source\": 0, \"target\": 4}, {\"weight\": 9618, \"source\": 1, \"target\": 6}, {\"weight\": 2852, \"source\": 1, \"target\": 2}, {\"weight\": 1809, \"source\": 1, \"target\": 8}, {\"weight\": 6677, \"source\": 1, \"target\": 3}, {\"weight\": 10859, \"source\": 1, \"target\": 5}, {\"weight\": 3816, \"source\": 1, \"target\": 7}, {\"weight\": 9728, \"source\": 1, \"target\": 4}, {\"weight\": 6898, \"source\": 2, \"target\": 6}, {\"weight\": 2853, \"source\": 2, \"target\": 8}, {\"weight\": 8515, \"source\": 2, \"target\": 3}, {\"weight\": 8139, \"source\": 2, \"target\": 5}, {\"weight\": 4183, \"source\": 2, \"target\": 7}, {\"weight\": 7008, \"source\": 2, \"target\": 4}, {\"weight\": 13400, \"source\": 3, \"target\": 6}, {\"weight\": 6719, \"source\": 3, \"target\": 8}, {\"weight\": 14605, \"source\": 3, \"target\": 5}, {\"weight\": 5552, \"source\": 3, \"target\": 7}, {\"weight\": 12871, \"source\": 3, \"target\": 4}, {\"weight\": 1899, \"source\": 4, \"target\": 6}, {\"weight\": 9741, \"source\": 4, \"target\": 8}, {\"weight\": 3829, \"source\": 4, \"target\": 5}, {\"weight\": 11059, \"source\": 4, \"target\": 7}, {\"weight\": 3827, \"source\": 5, \"target\": 6}, {\"weight\": 10872, \"source\": 5, \"target\": 8}, {\"weight\": 12190, \"source\": 5, \"target\": 7}, {\"weight\": 9514, \"source\": 6, \"target\": 8}, {\"weight\": 10949, \"source\": 6, \"target\": 7}, {\"weight\": 3721, \"source\": 7, \"target\": 8}]}",
"id": 915,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFT, UUA, BGO, LLF, YLH, CMW, YGW, NSK, VOG\n- Travel distances (in kilometers) between each pair of airports:\nLFT to UUA: 10369\nLFT to YGW: 3434\nLFT to BGO: 7632\nLFT to VOG: 10391\nLFT to LLF: 13353\nLFT to CMW: 2639\nLFT to NSK: 11700\nLFT to YLH: 3348\nUUA to YGW: 9618\nUUA to BGO: 2852\nUUA to VOG: 1809\nUUA to LLF: 6677\nUUA to CMW: 10859\nUUA to NSK: 3816\nUUA to YLH: 9728\nBGO to YGW: 6898\nBGO to VOG: 2853\nBGO to LLF: 8515\nBGO to CMW: 8139\nBGO to NSK: 4183\nBGO to YLH: 7008\nLLF to YGW: 13400\nLLF to VOG: 6719\nLLF to CMW: 14605\nLLF to NSK: 5552\nLLF to YLH: 12871\nYLH to YGW: 1899\nYLH to VOG: 9741\nYLH to CMW: 3829\nYLH to NSK: 11059\nCMW to YGW: 3827\nCMW to VOG: 10872\nCMW to NSK: 12190\nYGW to VOG: 9514\nYGW to NSK: 10949\nNSK to VOG: 3721\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, CEK, DMK, KGE, KDH, BLZ, WLS, VNO, TGM\n- Travel distances (in kilometers) between each pair of airports:\nSKG to CEK: 3443\nSKG to VNO: 1739\nSKG to DMK: 7977\nSKG to TGM: 764\nSKG to KDH: 3989\nSKG to BLZ: 6561\nSKG to KGE: 15326\nSKG to WLS: 17393\nCEK to VNO: 2286\nCEK to DMK: 6162\nCEK to TGM: 3250\nCEK to KDH: 2846\nCEK to BLZ: 8717\nCEK to KGE: 12628\nCEK to WLS: 14211\nDMK to VNO: 8036\nDMK to TGM: 8183\nDMK to KDH: 4051\nDMK to BLZ: 9387\nDMK to KGE: 7902\nDMK to WLS: 10373\nKGE to VNO: 14742\nKGE to TGM: 15532\nKGE to KDH: 11698\nKGE to BLZ: 15614\nKGE to WLS: 3296\nKDH to VNO: 4672\nKDH to TGM: 4195\nKDH to BLZ: 6408\nKDH to WLS: 13940\nBLZ to VNO: 7927\nBLZ to TGM: 7083\nBLZ to WLS: 16394\nWLS to VNO: 16342\nWLS to TGM: 17306\nVNO to TGM: 1567\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45667,
"style": "rule"
}
|
{
"exact_answer": 45667,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SKG\", \"id\": 0}, {\"name\": \"CEK\", \"id\": 1}, {\"name\": \"DMK\", \"id\": 2}, {\"name\": \"KGE\", \"id\": 3}, {\"name\": \"KDH\", \"id\": 4}, {\"name\": \"BLZ\", \"id\": 5}, {\"name\": \"WLS\", \"id\": 6}, {\"name\": \"VNO\", \"id\": 7}, {\"name\": \"TGM\", \"id\": 8}], \"links\": [{\"weight\": 3443, \"source\": 0, \"target\": 1}, {\"weight\": 1739, \"source\": 0, \"target\": 7}, {\"weight\": 7977, \"source\": 0, \"target\": 2}, {\"weight\": 764, \"source\": 0, \"target\": 8}, {\"weight\": 3989, \"source\": 0, \"target\": 4}, {\"weight\": 6561, \"source\": 0, \"target\": 5}, {\"weight\": 15326, \"source\": 0, \"target\": 3}, {\"weight\": 17393, \"source\": 0, \"target\": 6}, {\"weight\": 2286, \"source\": 1, \"target\": 7}, {\"weight\": 6162, \"source\": 1, \"target\": 2}, {\"weight\": 3250, \"source\": 1, \"target\": 8}, {\"weight\": 2846, \"source\": 1, \"target\": 4}, {\"weight\": 8717, \"source\": 1, \"target\": 5}, {\"weight\": 12628, \"source\": 1, \"target\": 3}, {\"weight\": 14211, \"source\": 1, \"target\": 6}, {\"weight\": 8036, \"source\": 2, \"target\": 7}, {\"weight\": 8183, \"source\": 2, \"target\": 8}, {\"weight\": 4051, \"source\": 2, \"target\": 4}, {\"weight\": 9387, \"source\": 2, \"target\": 5}, {\"weight\": 7902, \"source\": 2, \"target\": 3}, {\"weight\": 10373, \"source\": 2, \"target\": 6}, {\"weight\": 14742, \"source\": 3, \"target\": 7}, {\"weight\": 15532, \"source\": 3, \"target\": 8}, {\"weight\": 11698, \"source\": 3, \"target\": 4}, {\"weight\": 15614, \"source\": 3, \"target\": 5}, {\"weight\": 3296, \"source\": 3, \"target\": 6}, {\"weight\": 4672, \"source\": 4, \"target\": 7}, {\"weight\": 4195, \"source\": 4, \"target\": 8}, {\"weight\": 6408, \"source\": 4, \"target\": 5}, {\"weight\": 13940, \"source\": 4, \"target\": 6}, {\"weight\": 7927, \"source\": 5, \"target\": 7}, {\"weight\": 7083, \"source\": 5, \"target\": 8}, {\"weight\": 16394, \"source\": 5, \"target\": 6}, {\"weight\": 16342, \"source\": 6, \"target\": 7}, {\"weight\": 17306, \"source\": 6, \"target\": 8}, {\"weight\": 1567, \"source\": 7, \"target\": 8}]}",
"id": 916,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, CEK, DMK, KGE, KDH, BLZ, WLS, VNO, TGM\n- Travel distances (in kilometers) between each pair of airports:\nSKG to CEK: 3443\nSKG to VNO: 1739\nSKG to DMK: 7977\nSKG to TGM: 764\nSKG to KDH: 3989\nSKG to BLZ: 6561\nSKG to KGE: 15326\nSKG to WLS: 17393\nCEK to VNO: 2286\nCEK to DMK: 6162\nCEK to TGM: 3250\nCEK to KDH: 2846\nCEK to BLZ: 8717\nCEK to KGE: 12628\nCEK to WLS: 14211\nDMK to VNO: 8036\nDMK to TGM: 8183\nDMK to KDH: 4051\nDMK to BLZ: 9387\nDMK to KGE: 7902\nDMK to WLS: 10373\nKGE to VNO: 14742\nKGE to TGM: 15532\nKGE to KDH: 11698\nKGE to BLZ: 15614\nKGE to WLS: 3296\nKDH to VNO: 4672\nKDH to TGM: 4195\nKDH to BLZ: 6408\nKDH to WLS: 13940\nBLZ to VNO: 7927\nBLZ to TGM: 7083\nBLZ to WLS: 16394\nWLS to VNO: 16342\nWLS to TGM: 17306\nVNO to TGM: 1567\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PXM, DLC, RRG, VOL, ITM, BZV, KKH, VCS, YNY\n- Travel distances (in kilometers) between each pair of airports:\nPXM to DLC: 13003\nPXM to KKH: 7311\nPXM to ITM: 12162\nPXM to VOL: 11618\nPXM to BZV: 13739\nPXM to YNY: 14345\nPXM to RRG: 18983\nPXM to VCS: 16313\nDLC to KKH: 11905\nDLC to ITM: 1428\nDLC to VOL: 8664\nDLC to BZV: 11766\nDLC to YNY: 1860\nDLC to RRG: 10113\nDLC to VCS: 3701\nRRG to KKH: 20680\nRRG to ITM: 10845\nRRG to VOL: 8955\nRRG to BZV: 5990\nRRG to YNY: 10508\nRRG to VCS: 7332\nVOL to KKH: 12918\nVOL to ITM: 10055\nVOL to BZV: 6397\nVOL to YNY: 10175\nVOL to VCS: 9506\nITM to KKH: 11185\nITM to BZV: 13159\nITM to YNY: 2325\nITM to VCS: 4185\nBZV to KKH: 16674\nBZV to YNY: 12816\nBZV to VCS: 10608\nKKH to YNY: 13250\nKKH to VCS: 15242\nVCS to YNY: 3974\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57095,
"style": "rule"
}
|
{
"exact_answer": 57095,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PXM\", \"id\": 0}, {\"name\": \"DLC\", \"id\": 1}, {\"name\": \"RRG\", \"id\": 2}, {\"name\": \"VOL\", \"id\": 3}, {\"name\": \"ITM\", \"id\": 4}, {\"name\": \"BZV\", \"id\": 5}, {\"name\": \"KKH\", \"id\": 6}, {\"name\": \"VCS\", \"id\": 7}, {\"name\": \"YNY\", \"id\": 8}], \"links\": [{\"weight\": 13003, \"source\": 0, \"target\": 1}, {\"weight\": 7311, \"source\": 0, \"target\": 6}, {\"weight\": 12162, \"source\": 0, \"target\": 4}, {\"weight\": 11618, \"source\": 0, \"target\": 3}, {\"weight\": 13739, \"source\": 0, \"target\": 5}, {\"weight\": 14345, \"source\": 0, \"target\": 8}, {\"weight\": 18983, \"source\": 0, \"target\": 2}, {\"weight\": 16313, \"source\": 0, \"target\": 7}, {\"weight\": 11905, \"source\": 1, \"target\": 6}, {\"weight\": 1428, \"source\": 1, \"target\": 4}, {\"weight\": 8664, \"source\": 1, \"target\": 3}, {\"weight\": 11766, \"source\": 1, \"target\": 5}, {\"weight\": 1860, \"source\": 1, \"target\": 8}, {\"weight\": 10113, \"source\": 1, \"target\": 2}, {\"weight\": 3701, \"source\": 1, \"target\": 7}, {\"weight\": 20680, \"source\": 2, \"target\": 6}, {\"weight\": 10845, \"source\": 2, \"target\": 4}, {\"weight\": 8955, \"source\": 2, \"target\": 3}, {\"weight\": 5990, \"source\": 2, \"target\": 5}, {\"weight\": 10508, \"source\": 2, \"target\": 8}, {\"weight\": 7332, \"source\": 2, \"target\": 7}, {\"weight\": 12918, \"source\": 3, \"target\": 6}, {\"weight\": 10055, \"source\": 3, \"target\": 4}, {\"weight\": 6397, \"source\": 3, \"target\": 5}, {\"weight\": 10175, \"source\": 3, \"target\": 8}, {\"weight\": 9506, \"source\": 3, \"target\": 7}, {\"weight\": 11185, \"source\": 4, \"target\": 6}, {\"weight\": 13159, \"source\": 4, \"target\": 5}, {\"weight\": 2325, \"source\": 4, \"target\": 8}, {\"weight\": 4185, \"source\": 4, \"target\": 7}, {\"weight\": 16674, \"source\": 5, \"target\": 6}, {\"weight\": 12816, \"source\": 5, \"target\": 8}, {\"weight\": 10608, \"source\": 5, \"target\": 7}, {\"weight\": 13250, \"source\": 6, \"target\": 8}, {\"weight\": 15242, \"source\": 6, \"target\": 7}, {\"weight\": 3974, \"source\": 7, \"target\": 8}]}",
"id": 917,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PXM, DLC, RRG, VOL, ITM, BZV, KKH, VCS, YNY\n- Travel distances (in kilometers) between each pair of airports:\nPXM to DLC: 13003\nPXM to KKH: 7311\nPXM to ITM: 12162\nPXM to VOL: 11618\nPXM to BZV: 13739\nPXM to YNY: 14345\nPXM to RRG: 18983\nPXM to VCS: 16313\nDLC to KKH: 11905\nDLC to ITM: 1428\nDLC to VOL: 8664\nDLC to BZV: 11766\nDLC to YNY: 1860\nDLC to RRG: 10113\nDLC to VCS: 3701\nRRG to KKH: 20680\nRRG to ITM: 10845\nRRG to VOL: 8955\nRRG to BZV: 5990\nRRG to YNY: 10508\nRRG to VCS: 7332\nVOL to KKH: 12918\nVOL to ITM: 10055\nVOL to BZV: 6397\nVOL to YNY: 10175\nVOL to VCS: 9506\nITM to KKH: 11185\nITM to BZV: 13159\nITM to YNY: 2325\nITM to VCS: 4185\nBZV to KKH: 16674\nBZV to YNY: 12816\nBZV to VCS: 10608\nKKH to YNY: 13250\nKKH to VCS: 15242\nVCS to YNY: 3974\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, HLH, ORX, WWK, PAH, YIC, NDJ, LZO, TSR\n- Travel distances (in kilometers) between each pair of airports:\nTRI to YIC: 13024\nTRI to NDJ: 10674\nTRI to TSR: 8313\nTRI to LZO: 13256\nTRI to HLH: 12443\nTRI to WWK: 16530\nTRI to ORX: 5810\nTRI to PAH: 1707\nHLH to YIC: 2179\nHLH to NDJ: 10871\nHLH to TSR: 8488\nHLH to LZO: 2411\nHLH to WWK: 7946\nHLH to ORX: 17651\nHLH to PAH: 11892\nORX to YIC: 18346\nORX to NDJ: 8841\nORX to TSR: 10072\nORX to LZO: 17744\nORX to WWK: 20706\nORX to PAH: 7083\nWWK to YIC: 6835\nWWK to NDJ: 15827\nWWK to TSR: 14677\nWWK to LZO: 6959\nWWK to PAH: 16392\nPAH to YIC: 12493\nPAH to NDJ: 11248\nPAH to TSR: 8595\nPAH to LZO: 12725\nYIC to NDJ: 10408\nYIC to TSR: 9069\nYIC to LZO: 1670\nNDJ to TSR: 4304\nNDJ to LZO: 9718\nLZO to TSR: 8363\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56350,
"style": "rule"
}
|
{
"exact_answer": 56350,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRI\", \"id\": 0}, {\"name\": \"HLH\", \"id\": 1}, {\"name\": \"ORX\", \"id\": 2}, {\"name\": \"WWK\", \"id\": 3}, {\"name\": \"PAH\", \"id\": 4}, {\"name\": \"YIC\", \"id\": 5}, {\"name\": \"NDJ\", \"id\": 6}, {\"name\": \"LZO\", \"id\": 7}, {\"name\": \"TSR\", \"id\": 8}], \"links\": [{\"weight\": 13024, \"source\": 0, \"target\": 5}, {\"weight\": 10674, \"source\": 0, \"target\": 6}, {\"weight\": 8313, \"source\": 0, \"target\": 8}, {\"weight\": 13256, \"source\": 0, \"target\": 7}, {\"weight\": 12443, \"source\": 0, \"target\": 1}, {\"weight\": 16530, \"source\": 0, \"target\": 3}, {\"weight\": 5810, \"source\": 0, \"target\": 2}, {\"weight\": 1707, \"source\": 0, \"target\": 4}, {\"weight\": 2179, \"source\": 1, \"target\": 5}, {\"weight\": 10871, \"source\": 1, \"target\": 6}, {\"weight\": 8488, \"source\": 1, \"target\": 8}, {\"weight\": 2411, \"source\": 1, \"target\": 7}, {\"weight\": 7946, \"source\": 1, \"target\": 3}, {\"weight\": 17651, \"source\": 1, \"target\": 2}, {\"weight\": 11892, \"source\": 1, \"target\": 4}, {\"weight\": 18346, \"source\": 2, \"target\": 5}, {\"weight\": 8841, \"source\": 2, \"target\": 6}, {\"weight\": 10072, \"source\": 2, \"target\": 8}, {\"weight\": 17744, \"source\": 2, \"target\": 7}, {\"weight\": 20706, \"source\": 2, \"target\": 3}, {\"weight\": 7083, \"source\": 2, \"target\": 4}, {\"weight\": 6835, \"source\": 3, \"target\": 5}, {\"weight\": 15827, \"source\": 3, \"target\": 6}, {\"weight\": 14677, \"source\": 3, \"target\": 8}, {\"weight\": 6959, \"source\": 3, \"target\": 7}, {\"weight\": 16392, \"source\": 3, \"target\": 4}, {\"weight\": 12493, \"source\": 4, \"target\": 5}, {\"weight\": 11248, \"source\": 4, \"target\": 6}, {\"weight\": 8595, \"source\": 4, \"target\": 8}, {\"weight\": 12725, \"source\": 4, \"target\": 7}, {\"weight\": 10408, \"source\": 5, \"target\": 6}, {\"weight\": 9069, \"source\": 5, \"target\": 8}, {\"weight\": 1670, \"source\": 5, \"target\": 7}, {\"weight\": 4304, \"source\": 6, \"target\": 8}, {\"weight\": 9718, \"source\": 6, \"target\": 7}, {\"weight\": 8363, \"source\": 7, \"target\": 8}]}",
"id": 918,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, HLH, ORX, WWK, PAH, YIC, NDJ, LZO, TSR\n- Travel distances (in kilometers) between each pair of airports:\nTRI to YIC: 13024\nTRI to NDJ: 10674\nTRI to TSR: 8313\nTRI to LZO: 13256\nTRI to HLH: 12443\nTRI to WWK: 16530\nTRI to ORX: 5810\nTRI to PAH: 1707\nHLH to YIC: 2179\nHLH to NDJ: 10871\nHLH to TSR: 8488\nHLH to LZO: 2411\nHLH to WWK: 7946\nHLH to ORX: 17651\nHLH to PAH: 11892\nORX to YIC: 18346\nORX to NDJ: 8841\nORX to TSR: 10072\nORX to LZO: 17744\nORX to WWK: 20706\nORX to PAH: 7083\nWWK to YIC: 6835\nWWK to NDJ: 15827\nWWK to TSR: 14677\nWWK to LZO: 6959\nWWK to PAH: 16392\nPAH to YIC: 12493\nPAH to NDJ: 11248\nPAH to TSR: 8595\nPAH to LZO: 12725\nYIC to NDJ: 10408\nYIC to TSR: 9069\nYIC to LZO: 1670\nNDJ to TSR: 4304\nNDJ to LZO: 9718\nLZO to TSR: 8363\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AER, ZDY, DXB, ILR, SMX, SVO, RGN, AXM, TRU\n- Travel distances (in kilometers) between each pair of airports:\nAER to SVO: 1404\nAER to DXB: 2463\nAER to RGN: 6155\nAER to AXM: 11801\nAER to SMX: 11373\nAER to TRU: 13671\nAER to ZDY: 2806\nAER to ILR: 5427\nZDY to DXB: 343\nZDY to RGN: 4735\nZDY to SVO: 4053\nZDY to AXM: 14187\nZDY to SMX: 13958\nZDY to TRU: 16005\nZDY to ILR: 6041\nDXB to SVO: 3711\nDXB to RGN: 4392\nDXB to AXM: 13844\nDXB to SMX: 13615\nDXB to TRU: 15662\nDXB to ILR: 5698\nILR to RGN: 10019\nILR to SVO: 6219\nILR to AXM: 11259\nILR to SMX: 13243\nILR to TRU: 11119\nSMX to RGN: 13495\nSMX to SVO: 9972\nSMX to AXM: 5997\nSMX to TRU: 7424\nSVO to RGN: 6701\nSVO to AXM: 11089\nSVO to TRU: 13152\nRGN to AXM: 17725\nRGN to TRU: 19614\nAXM to TRU: 2559\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47982,
"style": "rule"
}
|
{
"exact_answer": 47982,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AER\", \"id\": 0}, {\"name\": \"ZDY\", \"id\": 1}, {\"name\": \"DXB\", \"id\": 2}, {\"name\": \"ILR\", \"id\": 3}, {\"name\": \"SMX\", \"id\": 4}, {\"name\": \"SVO\", \"id\": 5}, {\"name\": \"RGN\", \"id\": 6}, {\"name\": \"AXM\", \"id\": 7}, {\"name\": \"TRU\", \"id\": 8}], \"links\": [{\"weight\": 1404, \"source\": 0, \"target\": 5}, {\"weight\": 2463, \"source\": 0, \"target\": 2}, {\"weight\": 6155, \"source\": 0, \"target\": 6}, {\"weight\": 11801, \"source\": 0, \"target\": 7}, {\"weight\": 11373, \"source\": 0, \"target\": 4}, {\"weight\": 13671, \"source\": 0, \"target\": 8}, {\"weight\": 2806, \"source\": 0, \"target\": 1}, {\"weight\": 5427, \"source\": 0, \"target\": 3}, {\"weight\": 343, \"source\": 1, \"target\": 2}, {\"weight\": 4735, \"source\": 1, \"target\": 6}, {\"weight\": 4053, \"source\": 1, \"target\": 5}, {\"weight\": 14187, \"source\": 1, \"target\": 7}, {\"weight\": 13958, \"source\": 1, \"target\": 4}, {\"weight\": 16005, \"source\": 1, \"target\": 8}, {\"weight\": 6041, \"source\": 1, \"target\": 3}, {\"weight\": 3711, \"source\": 2, \"target\": 5}, {\"weight\": 4392, \"source\": 2, \"target\": 6}, {\"weight\": 13844, \"source\": 2, \"target\": 7}, {\"weight\": 13615, \"source\": 2, \"target\": 4}, {\"weight\": 15662, \"source\": 2, \"target\": 8}, {\"weight\": 5698, \"source\": 2, \"target\": 3}, {\"weight\": 10019, \"source\": 3, \"target\": 6}, {\"weight\": 6219, \"source\": 3, \"target\": 5}, {\"weight\": 11259, \"source\": 3, \"target\": 7}, {\"weight\": 13243, \"source\": 3, \"target\": 4}, {\"weight\": 11119, \"source\": 3, \"target\": 8}, {\"weight\": 13495, \"source\": 4, \"target\": 6}, {\"weight\": 9972, \"source\": 4, \"target\": 5}, {\"weight\": 5997, \"source\": 4, \"target\": 7}, {\"weight\": 7424, \"source\": 4, \"target\": 8}, {\"weight\": 6701, \"source\": 5, \"target\": 6}, {\"weight\": 11089, \"source\": 5, \"target\": 7}, {\"weight\": 13152, \"source\": 5, \"target\": 8}, {\"weight\": 17725, \"source\": 6, \"target\": 7}, {\"weight\": 19614, \"source\": 6, \"target\": 8}, {\"weight\": 2559, \"source\": 7, \"target\": 8}]}",
"id": 919,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AER, ZDY, DXB, ILR, SMX, SVO, RGN, AXM, TRU\n- Travel distances (in kilometers) between each pair of airports:\nAER to SVO: 1404\nAER to DXB: 2463\nAER to RGN: 6155\nAER to AXM: 11801\nAER to SMX: 11373\nAER to TRU: 13671\nAER to ZDY: 2806\nAER to ILR: 5427\nZDY to DXB: 343\nZDY to RGN: 4735\nZDY to SVO: 4053\nZDY to AXM: 14187\nZDY to SMX: 13958\nZDY to TRU: 16005\nZDY to ILR: 6041\nDXB to SVO: 3711\nDXB to RGN: 4392\nDXB to AXM: 13844\nDXB to SMX: 13615\nDXB to TRU: 15662\nDXB to ILR: 5698\nILR to RGN: 10019\nILR to SVO: 6219\nILR to AXM: 11259\nILR to SMX: 13243\nILR to TRU: 11119\nSMX to RGN: 13495\nSMX to SVO: 9972\nSMX to AXM: 5997\nSMX to TRU: 7424\nSVO to RGN: 6701\nSVO to AXM: 11089\nSVO to TRU: 13152\nRGN to AXM: 17725\nRGN to TRU: 19614\nAXM to TRU: 2559\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZR, DTM, KRY, CCS, AVP, YWH, BOO, GAO, HMB\n- Travel distances (in kilometers) between each pair of airports:\nBZR to DTM: 1541\nBZR to CCS: 8530\nBZR to AVP: 6716\nBZR to GAO: 9481\nBZR to KRY: 7034\nBZR to BOO: 2852\nBZR to HMB: 4394\nBZR to YWH: 8770\nDTM to CCS: 8287\nDTM to AVP: 6398\nDTM to GAO: 9163\nDTM to KRY: 6013\nDTM to BOO: 2340\nDTM to HMB: 3519\nDTM to YWH: 8342\nKRY to CCS: 14081\nKRY to AVP: 11796\nKRY to GAO: 14400\nKRY to BOO: 6159\nKRY to HMB: 5792\nKRY to YWH: 11525\nCCS to AVP: 3525\nCCS to GAO: 2955\nCCS to BOO: 9330\nCCS to HMB: 10732\nCCS to YWH: 6709\nAVP to GAO: 3197\nAVP to BOO: 6556\nAVP to HMB: 9769\nAVP to YWH: 3866\nYWH to GAO: 5782\nYWH to BOO: 8032\nYWH to HMB: 11687\nBOO to GAO: 9340\nBOO to HMB: 4883\nGAO to HMB: 12062\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43591,
"style": "rule"
}
|
{
"exact_answer": 43591,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZR\", \"id\": 0}, {\"name\": \"DTM\", \"id\": 1}, {\"name\": \"KRY\", \"id\": 2}, {\"name\": \"CCS\", \"id\": 3}, {\"name\": \"AVP\", \"id\": 4}, {\"name\": \"YWH\", \"id\": 5}, {\"name\": \"BOO\", \"id\": 6}, {\"name\": \"GAO\", \"id\": 7}, {\"name\": \"HMB\", \"id\": 8}], \"links\": [{\"weight\": 1541, \"source\": 0, \"target\": 1}, {\"weight\": 8530, \"source\": 0, \"target\": 3}, {\"weight\": 6716, \"source\": 0, \"target\": 4}, {\"weight\": 9481, \"source\": 0, \"target\": 7}, {\"weight\": 7034, \"source\": 0, \"target\": 2}, {\"weight\": 2852, \"source\": 0, \"target\": 6}, {\"weight\": 4394, \"source\": 0, \"target\": 8}, {\"weight\": 8770, \"source\": 0, \"target\": 5}, {\"weight\": 8287, \"source\": 1, \"target\": 3}, {\"weight\": 6398, \"source\": 1, \"target\": 4}, {\"weight\": 9163, \"source\": 1, \"target\": 7}, {\"weight\": 6013, \"source\": 1, \"target\": 2}, {\"weight\": 2340, \"source\": 1, \"target\": 6}, {\"weight\": 3519, \"source\": 1, \"target\": 8}, {\"weight\": 8342, \"source\": 1, \"target\": 5}, {\"weight\": 14081, \"source\": 2, \"target\": 3}, {\"weight\": 11796, \"source\": 2, \"target\": 4}, {\"weight\": 14400, \"source\": 2, \"target\": 7}, {\"weight\": 6159, \"source\": 2, \"target\": 6}, {\"weight\": 5792, \"source\": 2, \"target\": 8}, {\"weight\": 11525, \"source\": 2, \"target\": 5}, {\"weight\": 3525, \"source\": 3, \"target\": 4}, {\"weight\": 2955, \"source\": 3, \"target\": 7}, {\"weight\": 9330, \"source\": 3, \"target\": 6}, {\"weight\": 10732, \"source\": 3, \"target\": 8}, {\"weight\": 6709, \"source\": 3, \"target\": 5}, {\"weight\": 3197, \"source\": 4, \"target\": 7}, {\"weight\": 6556, \"source\": 4, \"target\": 6}, {\"weight\": 9769, \"source\": 4, \"target\": 8}, {\"weight\": 3866, \"source\": 4, \"target\": 5}, {\"weight\": 5782, \"source\": 5, \"target\": 7}, {\"weight\": 8032, \"source\": 5, \"target\": 6}, {\"weight\": 11687, \"source\": 5, \"target\": 8}, {\"weight\": 9340, \"source\": 6, \"target\": 7}, {\"weight\": 4883, \"source\": 6, \"target\": 8}, {\"weight\": 12062, \"source\": 7, \"target\": 8}]}",
"id": 920,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZR, DTM, KRY, CCS, AVP, YWH, BOO, GAO, HMB\n- Travel distances (in kilometers) between each pair of airports:\nBZR to DTM: 1541\nBZR to CCS: 8530\nBZR to AVP: 6716\nBZR to GAO: 9481\nBZR to KRY: 7034\nBZR to BOO: 2852\nBZR to HMB: 4394\nBZR to YWH: 8770\nDTM to CCS: 8287\nDTM to AVP: 6398\nDTM to GAO: 9163\nDTM to KRY: 6013\nDTM to BOO: 2340\nDTM to HMB: 3519\nDTM to YWH: 8342\nKRY to CCS: 14081\nKRY to AVP: 11796\nKRY to GAO: 14400\nKRY to BOO: 6159\nKRY to HMB: 5792\nKRY to YWH: 11525\nCCS to AVP: 3525\nCCS to GAO: 2955\nCCS to BOO: 9330\nCCS to HMB: 10732\nCCS to YWH: 6709\nAVP to GAO: 3197\nAVP to BOO: 6556\nAVP to HMB: 9769\nAVP to YWH: 3866\nYWH to GAO: 5782\nYWH to BOO: 8032\nYWH to HMB: 11687\nBOO to GAO: 9340\nBOO to HMB: 4883\nGAO to HMB: 12062\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDP, GUR, LIR, AGR, CEB, BJI, CEE, PNR, YQZ\n- Travel distances (in kilometers) between each pair of airports:\nPDP to LIR: 6185\nPDP to CEB: 18869\nPDP to YQZ: 12071\nPDP to PNR: 9409\nPDP to AGR: 16794\nPDP to GUR: 15842\nPDP to CEE: 13923\nPDP to BJI: 10258\nGUR to LIR: 16863\nGUR to CEB: 3735\nGUR to YQZ: 13362\nGUR to PNR: 15877\nGUR to AGR: 9201\nGUR to CEE: 12954\nGUR to BJI: 15303\nLIR to CEB: 16251\nLIR to YQZ: 5978\nLIR to PNR: 12898\nLIR to AGR: 16479\nLIR to CEE: 10863\nLIR to BJI: 4343\nAGR to CEB: 5495\nAGR to YQZ: 12990\nAGR to PNR: 8223\nAGR to CEE: 5927\nAGR to BJI: 14067\nCEB to YQZ: 11210\nCEB to PNR: 12783\nCEB to CEE: 9248\nCEB to BJI: 13151\nBJI to YQZ: 3052\nBJI to PNR: 12020\nBJI to CEE: 8761\nCEE to YQZ: 9341\nCEE to PNR: 7684\nPNR to YQZ: 14406\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59192,
"style": "rule"
}
|
{
"exact_answer": 59192,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDP\", \"id\": 0}, {\"name\": \"GUR\", \"id\": 1}, {\"name\": \"LIR\", \"id\": 2}, {\"name\": \"AGR\", \"id\": 3}, {\"name\": \"CEB\", \"id\": 4}, {\"name\": \"BJI\", \"id\": 5}, {\"name\": \"CEE\", \"id\": 6}, {\"name\": \"PNR\", \"id\": 7}, {\"name\": \"YQZ\", \"id\": 8}], \"links\": [{\"weight\": 6185, \"source\": 0, \"target\": 2}, {\"weight\": 18869, \"source\": 0, \"target\": 4}, {\"weight\": 12071, \"source\": 0, \"target\": 8}, {\"weight\": 9409, \"source\": 0, \"target\": 7}, {\"weight\": 16794, \"source\": 0, \"target\": 3}, {\"weight\": 15842, \"source\": 0, \"target\": 1}, {\"weight\": 13923, \"source\": 0, \"target\": 6}, {\"weight\": 10258, \"source\": 0, \"target\": 5}, {\"weight\": 16863, \"source\": 1, \"target\": 2}, {\"weight\": 3735, \"source\": 1, \"target\": 4}, {\"weight\": 13362, \"source\": 1, \"target\": 8}, {\"weight\": 15877, \"source\": 1, \"target\": 7}, {\"weight\": 9201, \"source\": 1, \"target\": 3}, {\"weight\": 12954, \"source\": 1, \"target\": 6}, {\"weight\": 15303, \"source\": 1, \"target\": 5}, {\"weight\": 16251, \"source\": 2, \"target\": 4}, {\"weight\": 5978, \"source\": 2, \"target\": 8}, {\"weight\": 12898, \"source\": 2, \"target\": 7}, {\"weight\": 16479, \"source\": 2, \"target\": 3}, {\"weight\": 10863, \"source\": 2, \"target\": 6}, {\"weight\": 4343, \"source\": 2, \"target\": 5}, {\"weight\": 5495, \"source\": 3, \"target\": 4}, {\"weight\": 12990, \"source\": 3, \"target\": 8}, {\"weight\": 8223, \"source\": 3, \"target\": 7}, {\"weight\": 5927, \"source\": 3, \"target\": 6}, {\"weight\": 14067, \"source\": 3, \"target\": 5}, {\"weight\": 11210, \"source\": 4, \"target\": 8}, {\"weight\": 12783, \"source\": 4, \"target\": 7}, {\"weight\": 9248, \"source\": 4, \"target\": 6}, {\"weight\": 13151, \"source\": 4, \"target\": 5}, {\"weight\": 3052, \"source\": 5, \"target\": 8}, {\"weight\": 12020, \"source\": 5, \"target\": 7}, {\"weight\": 8761, \"source\": 5, \"target\": 6}, {\"weight\": 9341, \"source\": 6, \"target\": 8}, {\"weight\": 7684, \"source\": 6, \"target\": 7}, {\"weight\": 14406, \"source\": 7, \"target\": 8}]}",
"id": 921,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDP, GUR, LIR, AGR, CEB, BJI, CEE, PNR, YQZ\n- Travel distances (in kilometers) between each pair of airports:\nPDP to LIR: 6185\nPDP to CEB: 18869\nPDP to YQZ: 12071\nPDP to PNR: 9409\nPDP to AGR: 16794\nPDP to GUR: 15842\nPDP to CEE: 13923\nPDP to BJI: 10258\nGUR to LIR: 16863\nGUR to CEB: 3735\nGUR to YQZ: 13362\nGUR to PNR: 15877\nGUR to AGR: 9201\nGUR to CEE: 12954\nGUR to BJI: 15303\nLIR to CEB: 16251\nLIR to YQZ: 5978\nLIR to PNR: 12898\nLIR to AGR: 16479\nLIR to CEE: 10863\nLIR to BJI: 4343\nAGR to CEB: 5495\nAGR to YQZ: 12990\nAGR to PNR: 8223\nAGR to CEE: 5927\nAGR to BJI: 14067\nCEB to YQZ: 11210\nCEB to PNR: 12783\nCEB to CEE: 9248\nCEB to BJI: 13151\nBJI to YQZ: 3052\nBJI to PNR: 12020\nBJI to CEE: 8761\nCEE to YQZ: 9341\nCEE to PNR: 7684\nPNR to YQZ: 14406\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWU, BRU, BLL, BON, EVG, ACH, SSG, TSJ, MPN\n- Travel distances (in kilometers) between each pair of airports:\nTWU to ACH: 11268\nTWU to BRU: 11485\nTWU to BON: 18243\nTWU to BLL: 11008\nTWU to SSG: 12420\nTWU to MPN: 20485\nTWU to TSJ: 3840\nTWU to EVG: 10659\nBRU to BLL: 620\nBRU to ACH: 1450\nBRU to BON: 7949\nBRU to SSG: 5325\nBRU to MPN: 14166\nBRU to TSJ: 9370\nBRU to EVG: 1613\nBLL to ACH: 1623\nBLL to BON: 8269\nBLL to SSG: 5803\nBLL to MPN: 14771\nBLL to TSJ: 8799\nBLL to EVG: 1003\nBON to ACH: 9257\nBON to SSG: 10307\nBON to MPN: 8289\nBON to TSJ: 14958\nBON to EVG: 9270\nEVG to ACH: 2139\nEVG to SSG: 6716\nEVG to MPN: 15766\nEVG to TSJ: 8448\nACH to SSG: 5993\nACH to MPN: 15087\nACH to TSJ: 9466\nSSG to MPN: 11497\nSSG to TSJ: 12995\nTSJ to MPN: 21542\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56519,
"style": "rule"
}
|
{
"exact_answer": 56519,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TWU\", \"id\": 0}, {\"name\": \"BRU\", \"id\": 1}, {\"name\": \"BLL\", \"id\": 2}, {\"name\": \"BON\", \"id\": 3}, {\"name\": \"EVG\", \"id\": 4}, {\"name\": \"ACH\", \"id\": 5}, {\"name\": \"SSG\", \"id\": 6}, {\"name\": \"TSJ\", \"id\": 7}, {\"name\": \"MPN\", \"id\": 8}], \"links\": [{\"weight\": 11268, \"source\": 0, \"target\": 5}, {\"weight\": 11485, \"source\": 0, \"target\": 1}, {\"weight\": 18243, \"source\": 0, \"target\": 3}, {\"weight\": 11008, \"source\": 0, \"target\": 2}, {\"weight\": 12420, \"source\": 0, \"target\": 6}, {\"weight\": 20485, \"source\": 0, \"target\": 8}, {\"weight\": 3840, \"source\": 0, \"target\": 7}, {\"weight\": 10659, \"source\": 0, \"target\": 4}, {\"weight\": 620, \"source\": 1, \"target\": 2}, {\"weight\": 1450, \"source\": 1, \"target\": 5}, {\"weight\": 7949, \"source\": 1, \"target\": 3}, {\"weight\": 5325, \"source\": 1, \"target\": 6}, {\"weight\": 14166, \"source\": 1, \"target\": 8}, {\"weight\": 9370, \"source\": 1, \"target\": 7}, {\"weight\": 1613, \"source\": 1, \"target\": 4}, {\"weight\": 1623, \"source\": 2, \"target\": 5}, {\"weight\": 8269, \"source\": 2, \"target\": 3}, {\"weight\": 5803, \"source\": 2, \"target\": 6}, {\"weight\": 14771, \"source\": 2, \"target\": 8}, {\"weight\": 8799, \"source\": 2, \"target\": 7}, {\"weight\": 1003, \"source\": 2, \"target\": 4}, {\"weight\": 9257, \"source\": 3, \"target\": 5}, {\"weight\": 10307, \"source\": 3, \"target\": 6}, {\"weight\": 8289, \"source\": 3, \"target\": 8}, {\"weight\": 14958, \"source\": 3, \"target\": 7}, {\"weight\": 9270, \"source\": 3, \"target\": 4}, {\"weight\": 2139, \"source\": 4, \"target\": 5}, {\"weight\": 6716, \"source\": 4, \"target\": 6}, {\"weight\": 15766, \"source\": 4, \"target\": 8}, {\"weight\": 8448, \"source\": 4, \"target\": 7}, {\"weight\": 5993, \"source\": 5, \"target\": 6}, {\"weight\": 15087, \"source\": 5, \"target\": 8}, {\"weight\": 9466, \"source\": 5, \"target\": 7}, {\"weight\": 11497, \"source\": 6, \"target\": 8}, {\"weight\": 12995, \"source\": 6, \"target\": 7}, {\"weight\": 21542, \"source\": 7, \"target\": 8}]}",
"id": 922,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWU, BRU, BLL, BON, EVG, ACH, SSG, TSJ, MPN\n- Travel distances (in kilometers) between each pair of airports:\nTWU to ACH: 11268\nTWU to BRU: 11485\nTWU to BON: 18243\nTWU to BLL: 11008\nTWU to SSG: 12420\nTWU to MPN: 20485\nTWU to TSJ: 3840\nTWU to EVG: 10659\nBRU to BLL: 620\nBRU to ACH: 1450\nBRU to BON: 7949\nBRU to SSG: 5325\nBRU to MPN: 14166\nBRU to TSJ: 9370\nBRU to EVG: 1613\nBLL to ACH: 1623\nBLL to BON: 8269\nBLL to SSG: 5803\nBLL to MPN: 14771\nBLL to TSJ: 8799\nBLL to EVG: 1003\nBON to ACH: 9257\nBON to SSG: 10307\nBON to MPN: 8289\nBON to TSJ: 14958\nBON to EVG: 9270\nEVG to ACH: 2139\nEVG to SSG: 6716\nEVG to MPN: 15766\nEVG to TSJ: 8448\nACH to SSG: 5993\nACH to MPN: 15087\nACH to TSJ: 9466\nSSG to MPN: 11497\nSSG to TSJ: 12995\nTSJ to MPN: 21542\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NCU, PIX, CGP, LYA, MRD, TAK, GIU, DEB, SVK\n- Travel distances (in kilometers) between each pair of airports:\nNCU to CGP: 4041\nNCU to LYA: 5414\nNCU to TAK: 6424\nNCU to MRD: 12744\nNCU to SVK: 12693\nNCU to PIX: 7415\nNCU to GIU: 4859\nNCU to DEB: 5552\nPIX to CGP: 10994\nPIX to LYA: 11557\nPIX to TAK: 12368\nPIX to MRD: 7424\nPIX to SVK: 7417\nPIX to GIU: 11142\nPIX to DEB: 4519\nCGP to LYA: 2909\nCGP to TAK: 4662\nCGP to MRD: 16358\nCGP to SVK: 16428\nCGP to GIU: 2454\nCGP to DEB: 9312\nLYA to TAK: 2170\nLYA to MRD: 15592\nLYA to SVK: 13916\nLYA to GIU: 4633\nLYA to DEB: 9811\nMRD to TAK: 15233\nMRD to SVK: 3383\nMRD to GIU: 16508\nMRD to DEB: 9921\nTAK to SVK: 12931\nTAK to GIU: 6364\nTAK to DEB: 10613\nGIU to SVK: 17155\nGIU to DEB: 9716\nDEB to SVK: 10123\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46201,
"style": "rule"
}
|
{
"exact_answer": 46201,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NCU\", \"id\": 0}, {\"name\": \"PIX\", \"id\": 1}, {\"name\": \"CGP\", \"id\": 2}, {\"name\": \"LYA\", \"id\": 3}, {\"name\": \"MRD\", \"id\": 4}, {\"name\": \"TAK\", \"id\": 5}, {\"name\": \"GIU\", \"id\": 6}, {\"name\": \"DEB\", \"id\": 7}, {\"name\": \"SVK\", \"id\": 8}], \"links\": [{\"weight\": 4041, \"source\": 0, \"target\": 2}, {\"weight\": 5414, \"source\": 0, \"target\": 3}, {\"weight\": 6424, \"source\": 0, \"target\": 5}, {\"weight\": 12744, \"source\": 0, \"target\": 4}, {\"weight\": 12693, \"source\": 0, \"target\": 8}, {\"weight\": 7415, \"source\": 0, \"target\": 1}, {\"weight\": 4859, \"source\": 0, \"target\": 6}, {\"weight\": 5552, \"source\": 0, \"target\": 7}, {\"weight\": 10994, \"source\": 1, \"target\": 2}, {\"weight\": 11557, \"source\": 1, \"target\": 3}, {\"weight\": 12368, \"source\": 1, \"target\": 5}, {\"weight\": 7424, \"source\": 1, \"target\": 4}, {\"weight\": 7417, \"source\": 1, \"target\": 8}, {\"weight\": 11142, \"source\": 1, \"target\": 6}, {\"weight\": 4519, \"source\": 1, \"target\": 7}, {\"weight\": 2909, \"source\": 2, \"target\": 3}, {\"weight\": 4662, \"source\": 2, \"target\": 5}, {\"weight\": 16358, \"source\": 2, \"target\": 4}, {\"weight\": 16428, \"source\": 2, \"target\": 8}, {\"weight\": 2454, \"source\": 2, \"target\": 6}, {\"weight\": 9312, \"source\": 2, \"target\": 7}, {\"weight\": 2170, \"source\": 3, \"target\": 5}, {\"weight\": 15592, \"source\": 3, \"target\": 4}, {\"weight\": 13916, \"source\": 3, \"target\": 8}, {\"weight\": 4633, \"source\": 3, \"target\": 6}, {\"weight\": 9811, \"source\": 3, \"target\": 7}, {\"weight\": 15233, \"source\": 4, \"target\": 5}, {\"weight\": 3383, \"source\": 4, \"target\": 8}, {\"weight\": 16508, \"source\": 4, \"target\": 6}, {\"weight\": 9921, \"source\": 4, \"target\": 7}, {\"weight\": 12931, \"source\": 5, \"target\": 8}, {\"weight\": 6364, \"source\": 5, \"target\": 6}, {\"weight\": 10613, \"source\": 5, \"target\": 7}, {\"weight\": 17155, \"source\": 6, \"target\": 8}, {\"weight\": 9716, \"source\": 6, \"target\": 7}, {\"weight\": 10123, \"source\": 7, \"target\": 8}]}",
"id": 923,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NCU, PIX, CGP, LYA, MRD, TAK, GIU, DEB, SVK\n- Travel distances (in kilometers) between each pair of airports:\nNCU to CGP: 4041\nNCU to LYA: 5414\nNCU to TAK: 6424\nNCU to MRD: 12744\nNCU to SVK: 12693\nNCU to PIX: 7415\nNCU to GIU: 4859\nNCU to DEB: 5552\nPIX to CGP: 10994\nPIX to LYA: 11557\nPIX to TAK: 12368\nPIX to MRD: 7424\nPIX to SVK: 7417\nPIX to GIU: 11142\nPIX to DEB: 4519\nCGP to LYA: 2909\nCGP to TAK: 4662\nCGP to MRD: 16358\nCGP to SVK: 16428\nCGP to GIU: 2454\nCGP to DEB: 9312\nLYA to TAK: 2170\nLYA to MRD: 15592\nLYA to SVK: 13916\nLYA to GIU: 4633\nLYA to DEB: 9811\nMRD to TAK: 15233\nMRD to SVK: 3383\nMRD to GIU: 16508\nMRD to DEB: 9921\nTAK to SVK: 12931\nTAK to GIU: 6364\nTAK to DEB: 10613\nGIU to SVK: 17155\nGIU to DEB: 9716\nDEB to SVK: 10123\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WUH, MKY, SUB, YVQ, SMF, ORY, TFS, KHQ, NAQ\n- Travel distances (in kilometers) between each pair of airports:\nWUH to TFS: 11711\nWUH to YVQ: 11972\nWUH to ORY: 8965\nWUH to SMF: 10569\nWUH to SUB: 4245\nWUH to KHQ: 12100\nWUH to NAQ: 12540\nWUH to MKY: 7124\nMKY to TFS: 18483\nMKY to YVQ: 15209\nMKY to ORY: 15798\nMKY to SMF: 12308\nMKY to SUB: 4257\nMKY to KHQ: 19032\nMKY to NAQ: 19472\nSUB to TFS: 14369\nSUB to YVQ: 15582\nSUB to ORY: 12151\nSUB to SMF: 14011\nSUB to KHQ: 15654\nSUB to NAQ: 16094\nYVQ to TFS: 9766\nYVQ to ORY: 8873\nYVQ to SMF: 3570\nYVQ to KHQ: 9216\nYVQ to NAQ: 9656\nSMF to TFS: 9683\nSMF to ORY: 9032\nSMF to KHQ: 9383\nSMF to NAQ: 9823\nORY to TFS: 2814\nORY to KHQ: 4858\nORY to NAQ: 5298\nTFS to KHQ: 7185\nTFS to NAQ: 7625\nKHQ to NAQ: 842\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53842,
"style": "rule"
}
|
{
"exact_answer": 53842,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WUH\", \"id\": 0}, {\"name\": \"MKY\", \"id\": 1}, {\"name\": \"SUB\", \"id\": 2}, {\"name\": \"YVQ\", \"id\": 3}, {\"name\": \"SMF\", \"id\": 4}, {\"name\": \"ORY\", \"id\": 5}, {\"name\": \"TFS\", \"id\": 6}, {\"name\": \"KHQ\", \"id\": 7}, {\"name\": \"NAQ\", \"id\": 8}], \"links\": [{\"weight\": 11711, \"source\": 0, \"target\": 6}, {\"weight\": 11972, \"source\": 0, \"target\": 3}, {\"weight\": 8965, \"source\": 0, \"target\": 5}, {\"weight\": 10569, \"source\": 0, \"target\": 4}, {\"weight\": 4245, \"source\": 0, \"target\": 2}, {\"weight\": 12100, \"source\": 0, \"target\": 7}, {\"weight\": 12540, \"source\": 0, \"target\": 8}, {\"weight\": 7124, \"source\": 0, \"target\": 1}, {\"weight\": 18483, \"source\": 1, \"target\": 6}, {\"weight\": 15209, \"source\": 1, \"target\": 3}, {\"weight\": 15798, \"source\": 1, \"target\": 5}, {\"weight\": 12308, \"source\": 1, \"target\": 4}, {\"weight\": 4257, \"source\": 1, \"target\": 2}, {\"weight\": 19032, \"source\": 1, \"target\": 7}, {\"weight\": 19472, \"source\": 1, \"target\": 8}, {\"weight\": 14369, \"source\": 2, \"target\": 6}, {\"weight\": 15582, \"source\": 2, \"target\": 3}, {\"weight\": 12151, \"source\": 2, \"target\": 5}, {\"weight\": 14011, \"source\": 2, \"target\": 4}, {\"weight\": 15654, \"source\": 2, \"target\": 7}, {\"weight\": 16094, \"source\": 2, \"target\": 8}, {\"weight\": 9766, \"source\": 3, \"target\": 6}, {\"weight\": 8873, \"source\": 3, \"target\": 5}, {\"weight\": 3570, \"source\": 3, \"target\": 4}, {\"weight\": 9216, \"source\": 3, \"target\": 7}, {\"weight\": 9656, \"source\": 3, \"target\": 8}, {\"weight\": 9683, \"source\": 4, \"target\": 6}, {\"weight\": 9032, \"source\": 4, \"target\": 5}, {\"weight\": 9383, \"source\": 4, \"target\": 7}, {\"weight\": 9823, \"source\": 4, \"target\": 8}, {\"weight\": 2814, \"source\": 5, \"target\": 6}, {\"weight\": 4858, \"source\": 5, \"target\": 7}, {\"weight\": 5298, \"source\": 5, \"target\": 8}, {\"weight\": 7185, \"source\": 6, \"target\": 7}, {\"weight\": 7625, \"source\": 6, \"target\": 8}, {\"weight\": 842, \"source\": 7, \"target\": 8}]}",
"id": 924,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WUH, MKY, SUB, YVQ, SMF, ORY, TFS, KHQ, NAQ\n- Travel distances (in kilometers) between each pair of airports:\nWUH to TFS: 11711\nWUH to YVQ: 11972\nWUH to ORY: 8965\nWUH to SMF: 10569\nWUH to SUB: 4245\nWUH to KHQ: 12100\nWUH to NAQ: 12540\nWUH to MKY: 7124\nMKY to TFS: 18483\nMKY to YVQ: 15209\nMKY to ORY: 15798\nMKY to SMF: 12308\nMKY to SUB: 4257\nMKY to KHQ: 19032\nMKY to NAQ: 19472\nSUB to TFS: 14369\nSUB to YVQ: 15582\nSUB to ORY: 12151\nSUB to SMF: 14011\nSUB to KHQ: 15654\nSUB to NAQ: 16094\nYVQ to TFS: 9766\nYVQ to ORY: 8873\nYVQ to SMF: 3570\nYVQ to KHQ: 9216\nYVQ to NAQ: 9656\nSMF to TFS: 9683\nSMF to ORY: 9032\nSMF to KHQ: 9383\nSMF to NAQ: 9823\nORY to TFS: 2814\nORY to KHQ: 4858\nORY to NAQ: 5298\nTFS to KHQ: 7185\nTFS to NAQ: 7625\nKHQ to NAQ: 842\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, HUH, DAU, BCV, LUQ, TRZ, BRW, YWG, OOK\n- Travel distances (in kilometers) between each pair of airports:\nPYY to OOK: 14814\nPYY to YWG: 13348\nPYY to BRW: 14940\nPYY to BCV: 16163\nPYY to TRZ: 3154\nPYY to LUQ: 19340\nPYY to DAU: 6992\nPYY to HUH: 14174\nHUH to OOK: 9885\nHUH to YWG: 9276\nHUH to BRW: 10230\nHUH to BCV: 10348\nHUH to TRZ: 15383\nHUH to LUQ: 10070\nHUH to DAU: 8468\nDAU to OOK: 14227\nDAU to YWG: 14654\nDAU to BRW: 14572\nDAU to BCV: 16280\nDAU to TRZ: 8356\nDAU to LUQ: 16369\nBCV to OOK: 7681\nBCV to YWG: 3823\nBCV to BRW: 7895\nBCV to TRZ: 16783\nBCV to LUQ: 7504\nLUQ to OOK: 15043\nLUQ to YWG: 11015\nLUQ to BRW: 15223\nLUQ to TRZ: 17059\nTRZ to OOK: 17089\nTRZ to YWG: 15212\nTRZ to BRW: 17215\nBRW to OOK: 1799\nBRW to YWG: 5184\nYWG to OOK: 5058\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63172,
"style": "rule"
}
|
{
"exact_answer": 63172,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PYY\", \"id\": 0}, {\"name\": \"HUH\", \"id\": 1}, {\"name\": \"DAU\", \"id\": 2}, {\"name\": \"BCV\", \"id\": 3}, {\"name\": \"LUQ\", \"id\": 4}, {\"name\": \"TRZ\", \"id\": 5}, {\"name\": \"BRW\", \"id\": 6}, {\"name\": \"YWG\", \"id\": 7}, {\"name\": \"OOK\", \"id\": 8}], \"links\": [{\"weight\": 14814, \"source\": 0, \"target\": 8}, {\"weight\": 13348, \"source\": 0, \"target\": 7}, {\"weight\": 14940, \"source\": 0, \"target\": 6}, {\"weight\": 16163, \"source\": 0, \"target\": 3}, {\"weight\": 3154, \"source\": 0, \"target\": 5}, {\"weight\": 19340, \"source\": 0, \"target\": 4}, {\"weight\": 6992, \"source\": 0, \"target\": 2}, {\"weight\": 14174, \"source\": 0, \"target\": 1}, {\"weight\": 9885, \"source\": 1, \"target\": 8}, {\"weight\": 9276, \"source\": 1, \"target\": 7}, {\"weight\": 10230, \"source\": 1, \"target\": 6}, {\"weight\": 10348, \"source\": 1, \"target\": 3}, {\"weight\": 15383, \"source\": 1, \"target\": 5}, {\"weight\": 10070, \"source\": 1, \"target\": 4}, {\"weight\": 8468, \"source\": 1, \"target\": 2}, {\"weight\": 14227, \"source\": 2, \"target\": 8}, {\"weight\": 14654, \"source\": 2, \"target\": 7}, {\"weight\": 14572, \"source\": 2, \"target\": 6}, {\"weight\": 16280, \"source\": 2, \"target\": 3}, {\"weight\": 8356, \"source\": 2, \"target\": 5}, {\"weight\": 16369, \"source\": 2, \"target\": 4}, {\"weight\": 7681, \"source\": 3, \"target\": 8}, {\"weight\": 3823, \"source\": 3, \"target\": 7}, {\"weight\": 7895, \"source\": 3, \"target\": 6}, {\"weight\": 16783, \"source\": 3, \"target\": 5}, {\"weight\": 7504, \"source\": 3, \"target\": 4}, {\"weight\": 15043, \"source\": 4, \"target\": 8}, {\"weight\": 11015, \"source\": 4, \"target\": 7}, {\"weight\": 15223, \"source\": 4, \"target\": 6}, {\"weight\": 17059, \"source\": 4, \"target\": 5}, {\"weight\": 17089, \"source\": 5, \"target\": 8}, {\"weight\": 15212, \"source\": 5, \"target\": 7}, {\"weight\": 17215, \"source\": 5, \"target\": 6}, {\"weight\": 1799, \"source\": 6, \"target\": 8}, {\"weight\": 5184, \"source\": 6, \"target\": 7}, {\"weight\": 5058, \"source\": 7, \"target\": 8}]}",
"id": 925,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, HUH, DAU, BCV, LUQ, TRZ, BRW, YWG, OOK\n- Travel distances (in kilometers) between each pair of airports:\nPYY to OOK: 14814\nPYY to YWG: 13348\nPYY to BRW: 14940\nPYY to BCV: 16163\nPYY to TRZ: 3154\nPYY to LUQ: 19340\nPYY to DAU: 6992\nPYY to HUH: 14174\nHUH to OOK: 9885\nHUH to YWG: 9276\nHUH to BRW: 10230\nHUH to BCV: 10348\nHUH to TRZ: 15383\nHUH to LUQ: 10070\nHUH to DAU: 8468\nDAU to OOK: 14227\nDAU to YWG: 14654\nDAU to BRW: 14572\nDAU to BCV: 16280\nDAU to TRZ: 8356\nDAU to LUQ: 16369\nBCV to OOK: 7681\nBCV to YWG: 3823\nBCV to BRW: 7895\nBCV to TRZ: 16783\nBCV to LUQ: 7504\nLUQ to OOK: 15043\nLUQ to YWG: 11015\nLUQ to BRW: 15223\nLUQ to TRZ: 17059\nTRZ to OOK: 17089\nTRZ to YWG: 15212\nTRZ to BRW: 17215\nBRW to OOK: 1799\nBRW to YWG: 5184\nYWG to OOK: 5058\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHP, LLK, AMA, JIM, EBJ, TRZ, AUA, WSN, PUY\n- Travel distances (in kilometers) between each pair of airports:\nSHP to AUA: 14758\nSHP to PUY: 8469\nSHP to TRZ: 5482\nSHP to AMA: 11217\nSHP to EBJ: 8043\nSHP to JIM: 9005\nSHP to WSN: 11831\nSHP to LLK: 8438\nLLK to AUA: 12085\nLLK to PUY: 4077\nLLK to TRZ: 8385\nLLK to AMA: 11697\nLLK to EBJ: 3865\nLLK to JIM: 7408\nLLK to WSN: 14022\nAMA to AUA: 4131\nAMA to PUY: 9121\nAMA to TRZ: 15842\nAMA to EBJ: 8304\nAMA to JIM: 13804\nAMA to WSN: 4923\nJIM to AUA: 13267\nJIM to PUY: 5050\nJIM to TRZ: 5341\nJIM to EBJ: 6040\nJIM to WSN: 16533\nEBJ to AUA: 8399\nEBJ to PUY: 1377\nEBJ to TRZ: 8075\nEBJ to WSN: 10629\nTRZ to AUA: 16064\nTRZ to PUY: 7493\nTRZ to WSN: 16754\nAUA to PUY: 8907\nAUA to WSN: 8750\nWSN to PUY: 11702\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52969,
"style": "rule"
}
|
{
"exact_answer": 52969,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SHP\", \"id\": 0}, {\"name\": \"LLK\", \"id\": 1}, {\"name\": \"AMA\", \"id\": 2}, {\"name\": \"JIM\", \"id\": 3}, {\"name\": \"EBJ\", \"id\": 4}, {\"name\": \"TRZ\", \"id\": 5}, {\"name\": \"AUA\", \"id\": 6}, {\"name\": \"WSN\", \"id\": 7}, {\"name\": \"PUY\", \"id\": 8}], \"links\": [{\"weight\": 14758, \"source\": 0, \"target\": 6}, {\"weight\": 8469, \"source\": 0, \"target\": 8}, {\"weight\": 5482, \"source\": 0, \"target\": 5}, {\"weight\": 11217, \"source\": 0, \"target\": 2}, {\"weight\": 8043, \"source\": 0, \"target\": 4}, {\"weight\": 9005, \"source\": 0, \"target\": 3}, {\"weight\": 11831, \"source\": 0, \"target\": 7}, {\"weight\": 8438, \"source\": 0, \"target\": 1}, {\"weight\": 12085, \"source\": 1, \"target\": 6}, {\"weight\": 4077, \"source\": 1, \"target\": 8}, {\"weight\": 8385, \"source\": 1, \"target\": 5}, {\"weight\": 11697, \"source\": 1, \"target\": 2}, {\"weight\": 3865, \"source\": 1, \"target\": 4}, {\"weight\": 7408, \"source\": 1, \"target\": 3}, {\"weight\": 14022, \"source\": 1, \"target\": 7}, {\"weight\": 4131, \"source\": 2, \"target\": 6}, {\"weight\": 9121, \"source\": 2, \"target\": 8}, {\"weight\": 15842, \"source\": 2, \"target\": 5}, {\"weight\": 8304, \"source\": 2, \"target\": 4}, {\"weight\": 13804, \"source\": 2, \"target\": 3}, {\"weight\": 4923, \"source\": 2, \"target\": 7}, {\"weight\": 13267, \"source\": 3, \"target\": 6}, {\"weight\": 5050, \"source\": 3, \"target\": 8}, {\"weight\": 5341, \"source\": 3, \"target\": 5}, {\"weight\": 6040, \"source\": 3, \"target\": 4}, {\"weight\": 16533, \"source\": 3, \"target\": 7}, {\"weight\": 8399, \"source\": 4, \"target\": 6}, {\"weight\": 1377, \"source\": 4, \"target\": 8}, {\"weight\": 8075, \"source\": 4, \"target\": 5}, {\"weight\": 10629, \"source\": 4, \"target\": 7}, {\"weight\": 16064, \"source\": 5, \"target\": 6}, {\"weight\": 7493, \"source\": 5, \"target\": 8}, {\"weight\": 16754, \"source\": 5, \"target\": 7}, {\"weight\": 8907, \"source\": 6, \"target\": 8}, {\"weight\": 8750, \"source\": 6, \"target\": 7}, {\"weight\": 11702, \"source\": 7, \"target\": 8}]}",
"id": 926,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHP, LLK, AMA, JIM, EBJ, TRZ, AUA, WSN, PUY\n- Travel distances (in kilometers) between each pair of airports:\nSHP to AUA: 14758\nSHP to PUY: 8469\nSHP to TRZ: 5482\nSHP to AMA: 11217\nSHP to EBJ: 8043\nSHP to JIM: 9005\nSHP to WSN: 11831\nSHP to LLK: 8438\nLLK to AUA: 12085\nLLK to PUY: 4077\nLLK to TRZ: 8385\nLLK to AMA: 11697\nLLK to EBJ: 3865\nLLK to JIM: 7408\nLLK to WSN: 14022\nAMA to AUA: 4131\nAMA to PUY: 9121\nAMA to TRZ: 15842\nAMA to EBJ: 8304\nAMA to JIM: 13804\nAMA to WSN: 4923\nJIM to AUA: 13267\nJIM to PUY: 5050\nJIM to TRZ: 5341\nJIM to EBJ: 6040\nJIM to WSN: 16533\nEBJ to AUA: 8399\nEBJ to PUY: 1377\nEBJ to TRZ: 8075\nEBJ to WSN: 10629\nTRZ to AUA: 16064\nTRZ to PUY: 7493\nTRZ to WSN: 16754\nAUA to PUY: 8907\nAUA to WSN: 8750\nWSN to PUY: 11702\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, MLY, AVV, MAA, JSR, LEX, YOP, TRD, HAH\n- Travel distances (in kilometers) between each pair of airports:\nTRI to JSR: 14372\nTRI to MLY: 6274\nTRI to MAA: 14563\nTRI to LEX: 645\nTRI to YOP: 4111\nTRI to TRD: 6835\nTRI to HAH: 14456\nTRI to AVV: 16102\nMLY to JSR: 14786\nMLY to MAA: 16246\nMLY to LEX: 5637\nMLY to YOP: 4170\nMLY to TRD: 10036\nMLY to HAH: 18423\nMLY to AVV: 13949\nAVV to JSR: 9982\nAVV to MAA: 9967\nAVV to LEX: 15824\nAVV to YOP: 14744\nAVV to TRD: 16878\nAVV to HAH: 11818\nMAA to JSR: 1761\nMAA to LEX: 14244\nMAA to YOP: 14955\nMAA to TRD: 7823\nMAA to HAH: 6300\nJSR to LEX: 14053\nJSR to YOP: 13495\nJSR to TRD: 7632\nJSR to HAH: 7898\nLEX to YOP: 3468\nLEX to TRD: 6621\nLEX to HAH: 14400\nYOP to TRD: 7233\nYOP to HAH: 15635\nTRD to HAH: 8818\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55928,
"style": "rule"
}
|
{
"exact_answer": 55928,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRI\", \"id\": 0}, {\"name\": \"MLY\", \"id\": 1}, {\"name\": \"AVV\", \"id\": 2}, {\"name\": \"MAA\", \"id\": 3}, {\"name\": \"JSR\", \"id\": 4}, {\"name\": \"LEX\", \"id\": 5}, {\"name\": \"YOP\", \"id\": 6}, {\"name\": \"TRD\", \"id\": 7}, {\"name\": \"HAH\", \"id\": 8}], \"links\": [{\"weight\": 14372, \"source\": 0, \"target\": 4}, {\"weight\": 6274, \"source\": 0, \"target\": 1}, {\"weight\": 14563, \"source\": 0, \"target\": 3}, {\"weight\": 645, \"source\": 0, \"target\": 5}, {\"weight\": 4111, \"source\": 0, \"target\": 6}, {\"weight\": 6835, \"source\": 0, \"target\": 7}, {\"weight\": 14456, \"source\": 0, \"target\": 8}, {\"weight\": 16102, \"source\": 0, \"target\": 2}, {\"weight\": 14786, \"source\": 1, \"target\": 4}, {\"weight\": 16246, \"source\": 1, \"target\": 3}, {\"weight\": 5637, \"source\": 1, \"target\": 5}, {\"weight\": 4170, \"source\": 1, \"target\": 6}, {\"weight\": 10036, \"source\": 1, \"target\": 7}, {\"weight\": 18423, \"source\": 1, \"target\": 8}, {\"weight\": 13949, \"source\": 1, \"target\": 2}, {\"weight\": 9982, \"source\": 2, \"target\": 4}, {\"weight\": 9967, \"source\": 2, \"target\": 3}, {\"weight\": 15824, \"source\": 2, \"target\": 5}, {\"weight\": 14744, \"source\": 2, \"target\": 6}, {\"weight\": 16878, \"source\": 2, \"target\": 7}, {\"weight\": 11818, \"source\": 2, \"target\": 8}, {\"weight\": 1761, \"source\": 3, \"target\": 4}, {\"weight\": 14244, \"source\": 3, \"target\": 5}, {\"weight\": 14955, \"source\": 3, \"target\": 6}, {\"weight\": 7823, \"source\": 3, \"target\": 7}, {\"weight\": 6300, \"source\": 3, \"target\": 8}, {\"weight\": 14053, \"source\": 4, \"target\": 5}, {\"weight\": 13495, \"source\": 4, \"target\": 6}, {\"weight\": 7632, \"source\": 4, \"target\": 7}, {\"weight\": 7898, \"source\": 4, \"target\": 8}, {\"weight\": 3468, \"source\": 5, \"target\": 6}, {\"weight\": 6621, \"source\": 5, \"target\": 7}, {\"weight\": 14400, \"source\": 5, \"target\": 8}, {\"weight\": 7233, \"source\": 6, \"target\": 7}, {\"weight\": 15635, \"source\": 6, \"target\": 8}, {\"weight\": 8818, \"source\": 7, \"target\": 8}]}",
"id": 927,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, MLY, AVV, MAA, JSR, LEX, YOP, TRD, HAH\n- Travel distances (in kilometers) between each pair of airports:\nTRI to JSR: 14372\nTRI to MLY: 6274\nTRI to MAA: 14563\nTRI to LEX: 645\nTRI to YOP: 4111\nTRI to TRD: 6835\nTRI to HAH: 14456\nTRI to AVV: 16102\nMLY to JSR: 14786\nMLY to MAA: 16246\nMLY to LEX: 5637\nMLY to YOP: 4170\nMLY to TRD: 10036\nMLY to HAH: 18423\nMLY to AVV: 13949\nAVV to JSR: 9982\nAVV to MAA: 9967\nAVV to LEX: 15824\nAVV to YOP: 14744\nAVV to TRD: 16878\nAVV to HAH: 11818\nMAA to JSR: 1761\nMAA to LEX: 14244\nMAA to YOP: 14955\nMAA to TRD: 7823\nMAA to HAH: 6300\nJSR to LEX: 14053\nJSR to YOP: 13495\nJSR to TRD: 7632\nJSR to HAH: 7898\nLEX to YOP: 3468\nLEX to TRD: 6621\nLEX to HAH: 14400\nYOP to TRD: 7233\nYOP to HAH: 15635\nTRD to HAH: 8818\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISA, DAD, GOP, BBA, CZM, YQF, UAS, JAL, SMF\n- Travel distances (in kilometers) between each pair of airports:\nISA to CZM: 16567\nISA to GOP: 9449\nISA to SMF: 13082\nISA to YQF: 14218\nISA to JAL: 15841\nISA to DAD: 6332\nISA to UAS: 13156\nISA to BBA: 14906\nDAD to CZM: 15666\nDAD to GOP: 4372\nDAD to SMF: 12184\nDAD to YQF: 11919\nDAD to JAL: 15311\nDAD to UAS: 8802\nDAD to BBA: 20182\nGOP to CZM: 14969\nGOP to SMF: 14095\nGOP to YQF: 13608\nGOP to JAL: 15633\nGOP to UAS: 6645\nGOP to BBA: 19051\nBBA to CZM: 7739\nBBA to SMF: 11046\nBBA to YQF: 11830\nBBA to JAL: 8228\nBBA to UAS: 13973\nCZM to SMF: 3910\nCZM to YQF: 4266\nCZM to JAL: 1512\nCZM to UAS: 14974\nYQF to SMF: 1770\nYQF to JAL: 4135\nYQF to UAS: 14644\nUAS to SMF: 16156\nUAS to JAL: 16144\nJAL to SMF: 3294\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59560,
"style": "rule"
}
|
{
"exact_answer": 59560,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ISA\", \"id\": 0}, {\"name\": \"DAD\", \"id\": 1}, {\"name\": \"GOP\", \"id\": 2}, {\"name\": \"BBA\", \"id\": 3}, {\"name\": \"CZM\", \"id\": 4}, {\"name\": \"YQF\", \"id\": 5}, {\"name\": \"UAS\", \"id\": 6}, {\"name\": \"JAL\", \"id\": 7}, {\"name\": \"SMF\", \"id\": 8}], \"links\": [{\"weight\": 16567, \"source\": 0, \"target\": 4}, {\"weight\": 9449, \"source\": 0, \"target\": 2}, {\"weight\": 13082, \"source\": 0, \"target\": 8}, {\"weight\": 14218, \"source\": 0, \"target\": 5}, {\"weight\": 15841, \"source\": 0, \"target\": 7}, {\"weight\": 6332, \"source\": 0, \"target\": 1}, {\"weight\": 13156, \"source\": 0, \"target\": 6}, {\"weight\": 14906, \"source\": 0, \"target\": 3}, {\"weight\": 15666, \"source\": 1, \"target\": 4}, {\"weight\": 4372, \"source\": 1, \"target\": 2}, {\"weight\": 12184, \"source\": 1, \"target\": 8}, {\"weight\": 11919, \"source\": 1, \"target\": 5}, {\"weight\": 15311, \"source\": 1, \"target\": 7}, {\"weight\": 8802, \"source\": 1, \"target\": 6}, {\"weight\": 20182, \"source\": 1, \"target\": 3}, {\"weight\": 14969, \"source\": 2, \"target\": 4}, {\"weight\": 14095, \"source\": 2, \"target\": 8}, {\"weight\": 13608, \"source\": 2, \"target\": 5}, {\"weight\": 15633, \"source\": 2, \"target\": 7}, {\"weight\": 6645, \"source\": 2, \"target\": 6}, {\"weight\": 19051, \"source\": 2, \"target\": 3}, {\"weight\": 7739, \"source\": 3, \"target\": 4}, {\"weight\": 11046, \"source\": 3, \"target\": 8}, {\"weight\": 11830, \"source\": 3, \"target\": 5}, {\"weight\": 8228, \"source\": 3, \"target\": 7}, {\"weight\": 13973, \"source\": 3, \"target\": 6}, {\"weight\": 3910, \"source\": 4, \"target\": 8}, {\"weight\": 4266, \"source\": 4, \"target\": 5}, {\"weight\": 1512, \"source\": 4, \"target\": 7}, {\"weight\": 14974, \"source\": 4, \"target\": 6}, {\"weight\": 1770, \"source\": 5, \"target\": 8}, {\"weight\": 4135, \"source\": 5, \"target\": 7}, {\"weight\": 14644, \"source\": 5, \"target\": 6}, {\"weight\": 16156, \"source\": 6, \"target\": 8}, {\"weight\": 16144, \"source\": 6, \"target\": 7}, {\"weight\": 3294, \"source\": 7, \"target\": 8}]}",
"id": 928,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISA, DAD, GOP, BBA, CZM, YQF, UAS, JAL, SMF\n- Travel distances (in kilometers) between each pair of airports:\nISA to CZM: 16567\nISA to GOP: 9449\nISA to SMF: 13082\nISA to YQF: 14218\nISA to JAL: 15841\nISA to DAD: 6332\nISA to UAS: 13156\nISA to BBA: 14906\nDAD to CZM: 15666\nDAD to GOP: 4372\nDAD to SMF: 12184\nDAD to YQF: 11919\nDAD to JAL: 15311\nDAD to UAS: 8802\nDAD to BBA: 20182\nGOP to CZM: 14969\nGOP to SMF: 14095\nGOP to YQF: 13608\nGOP to JAL: 15633\nGOP to UAS: 6645\nGOP to BBA: 19051\nBBA to CZM: 7739\nBBA to SMF: 11046\nBBA to YQF: 11830\nBBA to JAL: 8228\nBBA to UAS: 13973\nCZM to SMF: 3910\nCZM to YQF: 4266\nCZM to JAL: 1512\nCZM to UAS: 14974\nYQF to SMF: 1770\nYQF to JAL: 4135\nYQF to UAS: 14644\nUAS to SMF: 16156\nUAS to JAL: 16144\nJAL to SMF: 3294\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZN, ZAD, PYH, ZBR, DBO, MKE, RNS, YQF, UIP\n- Travel distances (in kilometers) between each pair of airports:\nBZN to ZAD: 9285\nBZN to RNS: 8426\nBZN to UIP: 8701\nBZN to MKE: 1879\nBZN to YQF: 1678\nBZN to ZBR: 13302\nBZN to DBO: 13657\nBZN to PYH: 6344\nZAD to RNS: 1512\nZAD to UIP: 1901\nZAD to MKE: 7813\nZAD to YQF: 8481\nZAD to ZBR: 4735\nZAD to DBO: 16455\nZAD to PYH: 9143\nPYH to RNS: 8289\nPYH to UIP: 8802\nPYH to MKE: 4714\nPYH to YQF: 6892\nPYH to ZBR: 13669\nPYH to DBO: 17116\nZBR to RNS: 5949\nZBR to UIP: 6121\nZBR to MKE: 12251\nZBR to YQF: 12711\nZBR to DBO: 12280\nDBO to RNS: 17549\nDBO to UIP: 17759\nDBO to MKE: 15189\nDBO to YQF: 13551\nMKE to RNS: 6609\nMKE to UIP: 7196\nMKE to YQF: 2284\nRNS to UIP: 1175\nRNS to YQF: 7490\nYQF to UIP: 7990\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50202,
"style": "rule"
}
|
{
"exact_answer": 50202,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZN\", \"id\": 0}, {\"name\": \"ZAD\", \"id\": 1}, {\"name\": \"PYH\", \"id\": 2}, {\"name\": \"ZBR\", \"id\": 3}, {\"name\": \"DBO\", \"id\": 4}, {\"name\": \"MKE\", \"id\": 5}, {\"name\": \"RNS\", \"id\": 6}, {\"name\": \"YQF\", \"id\": 7}, {\"name\": \"UIP\", \"id\": 8}], \"links\": [{\"weight\": 9285, \"source\": 0, \"target\": 1}, {\"weight\": 8426, \"source\": 0, \"target\": 6}, {\"weight\": 8701, \"source\": 0, \"target\": 8}, {\"weight\": 1879, \"source\": 0, \"target\": 5}, {\"weight\": 1678, \"source\": 0, \"target\": 7}, {\"weight\": 13302, \"source\": 0, \"target\": 3}, {\"weight\": 13657, \"source\": 0, \"target\": 4}, {\"weight\": 6344, \"source\": 0, \"target\": 2}, {\"weight\": 1512, \"source\": 1, \"target\": 6}, {\"weight\": 1901, \"source\": 1, \"target\": 8}, {\"weight\": 7813, \"source\": 1, \"target\": 5}, {\"weight\": 8481, \"source\": 1, \"target\": 7}, {\"weight\": 4735, \"source\": 1, \"target\": 3}, {\"weight\": 16455, \"source\": 1, \"target\": 4}, {\"weight\": 9143, \"source\": 1, \"target\": 2}, {\"weight\": 8289, \"source\": 2, \"target\": 6}, {\"weight\": 8802, \"source\": 2, \"target\": 8}, {\"weight\": 4714, \"source\": 2, \"target\": 5}, {\"weight\": 6892, \"source\": 2, \"target\": 7}, {\"weight\": 13669, \"source\": 2, \"target\": 3}, {\"weight\": 17116, \"source\": 2, \"target\": 4}, {\"weight\": 5949, \"source\": 3, \"target\": 6}, {\"weight\": 6121, \"source\": 3, \"target\": 8}, {\"weight\": 12251, \"source\": 3, \"target\": 5}, {\"weight\": 12711, \"source\": 3, \"target\": 7}, {\"weight\": 12280, \"source\": 3, \"target\": 4}, {\"weight\": 17549, \"source\": 4, \"target\": 6}, {\"weight\": 17759, \"source\": 4, \"target\": 8}, {\"weight\": 15189, \"source\": 4, \"target\": 5}, {\"weight\": 13551, \"source\": 4, \"target\": 7}, {\"weight\": 6609, \"source\": 5, \"target\": 6}, {\"weight\": 7196, \"source\": 5, \"target\": 8}, {\"weight\": 2284, \"source\": 5, \"target\": 7}, {\"weight\": 1175, \"source\": 6, \"target\": 8}, {\"weight\": 7490, \"source\": 6, \"target\": 7}, {\"weight\": 7990, \"source\": 7, \"target\": 8}]}",
"id": 929,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZN, ZAD, PYH, ZBR, DBO, MKE, RNS, YQF, UIP\n- Travel distances (in kilometers) between each pair of airports:\nBZN to ZAD: 9285\nBZN to RNS: 8426\nBZN to UIP: 8701\nBZN to MKE: 1879\nBZN to YQF: 1678\nBZN to ZBR: 13302\nBZN to DBO: 13657\nBZN to PYH: 6344\nZAD to RNS: 1512\nZAD to UIP: 1901\nZAD to MKE: 7813\nZAD to YQF: 8481\nZAD to ZBR: 4735\nZAD to DBO: 16455\nZAD to PYH: 9143\nPYH to RNS: 8289\nPYH to UIP: 8802\nPYH to MKE: 4714\nPYH to YQF: 6892\nPYH to ZBR: 13669\nPYH to DBO: 17116\nZBR to RNS: 5949\nZBR to UIP: 6121\nZBR to MKE: 12251\nZBR to YQF: 12711\nZBR to DBO: 12280\nDBO to RNS: 17549\nDBO to UIP: 17759\nDBO to MKE: 15189\nDBO to YQF: 13551\nMKE to RNS: 6609\nMKE to UIP: 7196\nMKE to YQF: 2284\nRNS to UIP: 1175\nRNS to YQF: 7490\nYQF to UIP: 7990\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YCD, AZA, LQM, ATL, GNM, SSA, LAD, CMW, HEL\n- Travel distances (in kilometers) between each pair of airports:\nYCD to SSA: 10845\nYCD to ATL: 3760\nYCD to HEL: 8226\nYCD to LQM: 7319\nYCD to GNM: 11344\nYCD to LAD: 14466\nYCD to CMW: 5536\nYCD to AZA: 2093\nAZA to SSA: 9781\nAZA to ATL: 2615\nAZA to HEL: 9544\nAZA to LQM: 6344\nAZA to GNM: 10280\nAZA to LAD: 14072\nAZA to CMW: 4562\nLQM to SSA: 6403\nLQM to ATL: 4011\nLQM to HEL: 10998\nLQM to GNM: 6902\nLQM to LAD: 11481\nLQM to CMW: 3322\nATL to SSA: 7214\nATL to HEL: 7796\nATL to GNM: 7713\nATL to LAD: 11744\nATL to CMW: 2220\nGNM to SSA: 499\nGNM to HEL: 10360\nGNM to LAD: 7916\nGNM to CMW: 7760\nSSA to HEL: 9861\nSSA to LAD: 7417\nSSA to CMW: 7261\nLAD to HEL: 7931\nLAD to CMW: 11463\nCMW to HEL: 9094\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41225,
"style": "rule"
}
|
{
"exact_answer": 41225,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YCD\", \"id\": 0}, {\"name\": \"AZA\", \"id\": 1}, {\"name\": \"LQM\", \"id\": 2}, {\"name\": \"ATL\", \"id\": 3}, {\"name\": \"GNM\", \"id\": 4}, {\"name\": \"SSA\", \"id\": 5}, {\"name\": \"LAD\", \"id\": 6}, {\"name\": \"CMW\", \"id\": 7}, {\"name\": \"HEL\", \"id\": 8}], \"links\": [{\"weight\": 10845, \"source\": 0, \"target\": 5}, {\"weight\": 3760, \"source\": 0, \"target\": 3}, {\"weight\": 8226, \"source\": 0, \"target\": 8}, {\"weight\": 7319, \"source\": 0, \"target\": 2}, {\"weight\": 11344, \"source\": 0, \"target\": 4}, {\"weight\": 14466, \"source\": 0, \"target\": 6}, {\"weight\": 5536, \"source\": 0, \"target\": 7}, {\"weight\": 2093, \"source\": 0, \"target\": 1}, {\"weight\": 9781, \"source\": 1, \"target\": 5}, {\"weight\": 2615, \"source\": 1, \"target\": 3}, {\"weight\": 9544, \"source\": 1, \"target\": 8}, {\"weight\": 6344, \"source\": 1, \"target\": 2}, {\"weight\": 10280, \"source\": 1, \"target\": 4}, {\"weight\": 14072, \"source\": 1, \"target\": 6}, {\"weight\": 4562, \"source\": 1, \"target\": 7}, {\"weight\": 6403, \"source\": 2, \"target\": 5}, {\"weight\": 4011, \"source\": 2, \"target\": 3}, {\"weight\": 10998, \"source\": 2, \"target\": 8}, {\"weight\": 6902, \"source\": 2, \"target\": 4}, {\"weight\": 11481, \"source\": 2, \"target\": 6}, {\"weight\": 3322, \"source\": 2, \"target\": 7}, {\"weight\": 7214, \"source\": 3, \"target\": 5}, {\"weight\": 7796, \"source\": 3, \"target\": 8}, {\"weight\": 7713, \"source\": 3, \"target\": 4}, {\"weight\": 11744, \"source\": 3, \"target\": 6}, {\"weight\": 2220, \"source\": 3, \"target\": 7}, {\"weight\": 499, \"source\": 4, \"target\": 5}, {\"weight\": 10360, \"source\": 4, \"target\": 8}, {\"weight\": 7916, \"source\": 4, \"target\": 6}, {\"weight\": 7760, \"source\": 4, \"target\": 7}, {\"weight\": 9861, \"source\": 5, \"target\": 8}, {\"weight\": 7417, \"source\": 5, \"target\": 6}, {\"weight\": 7261, \"source\": 5, \"target\": 7}, {\"weight\": 7931, \"source\": 6, \"target\": 8}, {\"weight\": 11463, \"source\": 6, \"target\": 7}, {\"weight\": 9094, \"source\": 7, \"target\": 8}]}",
"id": 930,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YCD, AZA, LQM, ATL, GNM, SSA, LAD, CMW, HEL\n- Travel distances (in kilometers) between each pair of airports:\nYCD to SSA: 10845\nYCD to ATL: 3760\nYCD to HEL: 8226\nYCD to LQM: 7319\nYCD to GNM: 11344\nYCD to LAD: 14466\nYCD to CMW: 5536\nYCD to AZA: 2093\nAZA to SSA: 9781\nAZA to ATL: 2615\nAZA to HEL: 9544\nAZA to LQM: 6344\nAZA to GNM: 10280\nAZA to LAD: 14072\nAZA to CMW: 4562\nLQM to SSA: 6403\nLQM to ATL: 4011\nLQM to HEL: 10998\nLQM to GNM: 6902\nLQM to LAD: 11481\nLQM to CMW: 3322\nATL to SSA: 7214\nATL to HEL: 7796\nATL to GNM: 7713\nATL to LAD: 11744\nATL to CMW: 2220\nGNM to SSA: 499\nGNM to HEL: 10360\nGNM to LAD: 7916\nGNM to CMW: 7760\nSSA to HEL: 9861\nSSA to LAD: 7417\nSSA to CMW: 7261\nLAD to HEL: 7931\nLAD to CMW: 11463\nCMW to HEL: 9094\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BHD, MBJ, WUX, DHM, BRM, YVQ, VUS, RDM, EKO\n- Travel distances (in kilometers) between each pair of airports:\nBHD to WUX: 9242\nBHD to YVQ: 8132\nBHD to BRM: 8079\nBHD to MBJ: 7693\nBHD to RDM: 7690\nBHD to DHM: 7426\nBHD to VUS: 3156\nBHD to EKO: 8120\nMBJ to WUX: 14346\nMBJ to YVQ: 6702\nMBJ to BRM: 1431\nMBJ to RDM: 4921\nMBJ to DHM: 14645\nMBJ to VUS: 10326\nMBJ to EKO: 4397\nWUX to YVQ: 11669\nWUX to BRM: 15432\nWUX to RDM: 9732\nWUX to DHM: 4625\nWUX to VUS: 7716\nWUX to EKO: 10763\nDHM to YVQ: 14694\nDHM to BRM: 14847\nDHM to RDM: 13261\nDHM to VUS: 5633\nDHM to EKO: 14309\nBRM to YVQ: 7759\nBRM to RDM: 6352\nBRM to VUS: 10707\nBRM to EKO: 5828\nYVQ to RDM: 2961\nYVQ to VUS: 10290\nYVQ to EKO: 3419\nVUS to RDM: 9848\nVUS to EKO: 10315\nRDM to EKO: 1164\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43115,
"style": "rule"
}
|
{
"exact_answer": 43115,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BHD\", \"id\": 0}, {\"name\": \"MBJ\", \"id\": 1}, {\"name\": \"WUX\", \"id\": 2}, {\"name\": \"DHM\", \"id\": 3}, {\"name\": \"BRM\", \"id\": 4}, {\"name\": \"YVQ\", \"id\": 5}, {\"name\": \"VUS\", \"id\": 6}, {\"name\": \"RDM\", \"id\": 7}, {\"name\": \"EKO\", \"id\": 8}], \"links\": [{\"weight\": 9242, \"source\": 0, \"target\": 2}, {\"weight\": 8132, \"source\": 0, \"target\": 5}, {\"weight\": 8079, \"source\": 0, \"target\": 4}, {\"weight\": 7693, \"source\": 0, \"target\": 1}, {\"weight\": 7690, \"source\": 0, \"target\": 7}, {\"weight\": 7426, \"source\": 0, \"target\": 3}, {\"weight\": 3156, \"source\": 0, \"target\": 6}, {\"weight\": 8120, \"source\": 0, \"target\": 8}, {\"weight\": 14346, \"source\": 1, \"target\": 2}, {\"weight\": 6702, \"source\": 1, \"target\": 5}, {\"weight\": 1431, \"source\": 1, \"target\": 4}, {\"weight\": 4921, \"source\": 1, \"target\": 7}, {\"weight\": 14645, \"source\": 1, \"target\": 3}, {\"weight\": 10326, \"source\": 1, \"target\": 6}, {\"weight\": 4397, \"source\": 1, \"target\": 8}, {\"weight\": 11669, \"source\": 2, \"target\": 5}, {\"weight\": 15432, \"source\": 2, \"target\": 4}, {\"weight\": 9732, \"source\": 2, \"target\": 7}, {\"weight\": 4625, \"source\": 2, \"target\": 3}, {\"weight\": 7716, \"source\": 2, \"target\": 6}, {\"weight\": 10763, \"source\": 2, \"target\": 8}, {\"weight\": 14694, \"source\": 3, \"target\": 5}, {\"weight\": 14847, \"source\": 3, \"target\": 4}, {\"weight\": 13261, \"source\": 3, \"target\": 7}, {\"weight\": 5633, \"source\": 3, \"target\": 6}, {\"weight\": 14309, \"source\": 3, \"target\": 8}, {\"weight\": 7759, \"source\": 4, \"target\": 5}, {\"weight\": 6352, \"source\": 4, \"target\": 7}, {\"weight\": 10707, \"source\": 4, \"target\": 6}, {\"weight\": 5828, \"source\": 4, \"target\": 8}, {\"weight\": 2961, \"source\": 5, \"target\": 7}, {\"weight\": 10290, \"source\": 5, \"target\": 6}, {\"weight\": 3419, \"source\": 5, \"target\": 8}, {\"weight\": 9848, \"source\": 6, \"target\": 7}, {\"weight\": 10315, \"source\": 6, \"target\": 8}, {\"weight\": 1164, \"source\": 7, \"target\": 8}]}",
"id": 931,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BHD, MBJ, WUX, DHM, BRM, YVQ, VUS, RDM, EKO\n- Travel distances (in kilometers) between each pair of airports:\nBHD to WUX: 9242\nBHD to YVQ: 8132\nBHD to BRM: 8079\nBHD to MBJ: 7693\nBHD to RDM: 7690\nBHD to DHM: 7426\nBHD to VUS: 3156\nBHD to EKO: 8120\nMBJ to WUX: 14346\nMBJ to YVQ: 6702\nMBJ to BRM: 1431\nMBJ to RDM: 4921\nMBJ to DHM: 14645\nMBJ to VUS: 10326\nMBJ to EKO: 4397\nWUX to YVQ: 11669\nWUX to BRM: 15432\nWUX to RDM: 9732\nWUX to DHM: 4625\nWUX to VUS: 7716\nWUX to EKO: 10763\nDHM to YVQ: 14694\nDHM to BRM: 14847\nDHM to RDM: 13261\nDHM to VUS: 5633\nDHM to EKO: 14309\nBRM to YVQ: 7759\nBRM to RDM: 6352\nBRM to VUS: 10707\nBRM to EKO: 5828\nYVQ to RDM: 2961\nYVQ to VUS: 10290\nYVQ to EKO: 3419\nVUS to RDM: 9848\nVUS to EKO: 10315\nRDM to EKO: 1164\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SFJ, SNV, CHC, ISC, ATZ, DSA, EWN, MYY\n- Travel distances (in kilometers) between each pair of airports:\nGOM to CHC: 17511\nGOM to EWN: 13071\nGOM to MYY: 12939\nGOM to DSA: 8479\nGOM to ATZ: 7000\nGOM to SFJ: 11610\nGOM to ISC: 8344\nGOM to SNV: 12645\nSFJ to CHC: 19551\nSFJ to EWN: 7082\nSFJ to MYY: 14091\nSFJ to DSA: 4259\nSFJ to ATZ: 6969\nSFJ to ISC: 3852\nSFJ to SNV: 10127\nSNV to CHC: 16285\nSNV to EWN: 4442\nSNV to MYY: 19414\nSNV to DSA: 8787\nSNV to ATZ: 11622\nSNV to ISC: 8462\nCHC to EWN: 14995\nCHC to MYY: 8266\nCHC to DSA: 19070\nCHC to ATZ: 16447\nCHC to ISC: 19513\nISC to EWN: 6904\nISC to MYY: 12048\nISC to DSA: 894\nISC to ATZ: 4245\nATZ to EWN: 10574\nATZ to MYY: 9265\nATZ to DSA: 4351\nDSA to EWN: 7342\nDSA to MYY: 11602\nEWN to MYY: 15763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65111,
"style": "rule"
}
|
{
"exact_answer": 65111,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOM\", \"id\": 0}, {\"name\": \"SFJ\", \"id\": 1}, {\"name\": \"SNV\", \"id\": 2}, {\"name\": \"CHC\", \"id\": 3}, {\"name\": \"ISC\", \"id\": 4}, {\"name\": \"ATZ\", \"id\": 5}, {\"name\": \"DSA\", \"id\": 6}, {\"name\": \"EWN\", \"id\": 7}, {\"name\": \"MYY\", \"id\": 8}], \"links\": [{\"weight\": 17511, \"source\": 0, \"target\": 3}, {\"weight\": 13071, \"source\": 0, \"target\": 7}, {\"weight\": 12939, \"source\": 0, \"target\": 8}, {\"weight\": 8479, \"source\": 0, \"target\": 6}, {\"weight\": 7000, \"source\": 0, \"target\": 5}, {\"weight\": 11610, \"source\": 0, \"target\": 1}, {\"weight\": 8344, \"source\": 0, \"target\": 4}, {\"weight\": 12645, \"source\": 0, \"target\": 2}, {\"weight\": 19551, \"source\": 1, \"target\": 3}, {\"weight\": 7082, \"source\": 1, \"target\": 7}, {\"weight\": 14091, \"source\": 1, \"target\": 8}, {\"weight\": 4259, \"source\": 1, \"target\": 6}, {\"weight\": 6969, \"source\": 1, \"target\": 5}, {\"weight\": 3852, \"source\": 1, \"target\": 4}, {\"weight\": 10127, \"source\": 1, \"target\": 2}, {\"weight\": 16285, \"source\": 2, \"target\": 3}, {\"weight\": 4442, \"source\": 2, \"target\": 7}, {\"weight\": 19414, \"source\": 2, \"target\": 8}, {\"weight\": 8787, \"source\": 2, \"target\": 6}, {\"weight\": 11622, \"source\": 2, \"target\": 5}, {\"weight\": 8462, \"source\": 2, \"target\": 4}, {\"weight\": 14995, \"source\": 3, \"target\": 7}, {\"weight\": 8266, \"source\": 3, \"target\": 8}, {\"weight\": 19070, \"source\": 3, \"target\": 6}, {\"weight\": 16447, \"source\": 3, \"target\": 5}, {\"weight\": 19513, \"source\": 3, \"target\": 4}, {\"weight\": 6904, \"source\": 4, \"target\": 7}, {\"weight\": 12048, \"source\": 4, \"target\": 8}, {\"weight\": 894, \"source\": 4, \"target\": 6}, {\"weight\": 4245, \"source\": 4, \"target\": 5}, {\"weight\": 10574, \"source\": 5, \"target\": 7}, {\"weight\": 9265, \"source\": 5, \"target\": 8}, {\"weight\": 4351, \"source\": 5, \"target\": 6}, {\"weight\": 7342, \"source\": 6, \"target\": 7}, {\"weight\": 11602, \"source\": 6, \"target\": 8}, {\"weight\": 15763, \"source\": 7, \"target\": 8}]}",
"id": 932,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SFJ, SNV, CHC, ISC, ATZ, DSA, EWN, MYY\n- Travel distances (in kilometers) between each pair of airports:\nGOM to CHC: 17511\nGOM to EWN: 13071\nGOM to MYY: 12939\nGOM to DSA: 8479\nGOM to ATZ: 7000\nGOM to SFJ: 11610\nGOM to ISC: 8344\nGOM to SNV: 12645\nSFJ to CHC: 19551\nSFJ to EWN: 7082\nSFJ to MYY: 14091\nSFJ to DSA: 4259\nSFJ to ATZ: 6969\nSFJ to ISC: 3852\nSFJ to SNV: 10127\nSNV to CHC: 16285\nSNV to EWN: 4442\nSNV to MYY: 19414\nSNV to DSA: 8787\nSNV to ATZ: 11622\nSNV to ISC: 8462\nCHC to EWN: 14995\nCHC to MYY: 8266\nCHC to DSA: 19070\nCHC to ATZ: 16447\nCHC to ISC: 19513\nISC to EWN: 6904\nISC to MYY: 12048\nISC to DSA: 894\nISC to ATZ: 4245\nATZ to EWN: 10574\nATZ to MYY: 9265\nATZ to DSA: 4351\nDSA to EWN: 7342\nDSA to MYY: 11602\nEWN to MYY: 15763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, WSX, ACC, PHS, YQD, HIA, SHE, BLJ, FWA\n- Travel distances (in kilometers) between each pair of airports:\nKRO to ACC: 8072\nKRO to SHE: 5287\nKRO to HIA: 5447\nKRO to FWA: 9570\nKRO to BLJ: 5258\nKRO to PHS: 6686\nKRO to YQD: 11048\nKRO to WSX: 10821\nWSX to ACC: 12265\nWSX to SHE: 8364\nWSX to HIA: 9597\nWSX to FWA: 3170\nWSX to BLJ: 9703\nWSX to PHS: 12005\nWSX to YQD: 2596\nACC to SHE: 12400\nACC to HIA: 12477\nACC to FWA: 9242\nACC to BLJ: 3809\nACC to PHS: 11236\nACC to YQD: 10835\nPHS to SHE: 3714\nPHS to HIA: 2968\nPHS to FWA: 13981\nPHS to BLJ: 10080\nPHS to YQD: 14045\nYQD to SHE: 10387\nYQD to HIA: 11620\nYQD to FWA: 1910\nYQD to BLJ: 8912\nHIA to SHE: 1233\nHIA to FWA: 11577\nHIA to BLJ: 10083\nSHE to FWA: 11084\nSHE to BLJ: 9653\nBLJ to FWA: 7627\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42066,
"style": "rule"
}
|
{
"exact_answer": 42066,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRO\", \"id\": 0}, {\"name\": \"WSX\", \"id\": 1}, {\"name\": \"ACC\", \"id\": 2}, {\"name\": \"PHS\", \"id\": 3}, {\"name\": \"YQD\", \"id\": 4}, {\"name\": \"HIA\", \"id\": 5}, {\"name\": \"SHE\", \"id\": 6}, {\"name\": \"BLJ\", \"id\": 7}, {\"name\": \"FWA\", \"id\": 8}], \"links\": [{\"weight\": 8072, \"source\": 0, \"target\": 2}, {\"weight\": 5287, \"source\": 0, \"target\": 6}, {\"weight\": 5447, \"source\": 0, \"target\": 5}, {\"weight\": 9570, \"source\": 0, \"target\": 8}, {\"weight\": 5258, \"source\": 0, \"target\": 7}, {\"weight\": 6686, \"source\": 0, \"target\": 3}, {\"weight\": 11048, \"source\": 0, \"target\": 4}, {\"weight\": 10821, \"source\": 0, \"target\": 1}, {\"weight\": 12265, \"source\": 1, \"target\": 2}, {\"weight\": 8364, \"source\": 1, \"target\": 6}, {\"weight\": 9597, \"source\": 1, \"target\": 5}, {\"weight\": 3170, \"source\": 1, \"target\": 8}, {\"weight\": 9703, \"source\": 1, \"target\": 7}, {\"weight\": 12005, \"source\": 1, \"target\": 3}, {\"weight\": 2596, \"source\": 1, \"target\": 4}, {\"weight\": 12400, \"source\": 2, \"target\": 6}, {\"weight\": 12477, \"source\": 2, \"target\": 5}, {\"weight\": 9242, \"source\": 2, \"target\": 8}, {\"weight\": 3809, \"source\": 2, \"target\": 7}, {\"weight\": 11236, \"source\": 2, \"target\": 3}, {\"weight\": 10835, \"source\": 2, \"target\": 4}, {\"weight\": 3714, \"source\": 3, \"target\": 6}, {\"weight\": 2968, \"source\": 3, \"target\": 5}, {\"weight\": 13981, \"source\": 3, \"target\": 8}, {\"weight\": 10080, \"source\": 3, \"target\": 7}, {\"weight\": 14045, \"source\": 3, \"target\": 4}, {\"weight\": 10387, \"source\": 4, \"target\": 6}, {\"weight\": 11620, \"source\": 4, \"target\": 5}, {\"weight\": 1910, \"source\": 4, \"target\": 8}, {\"weight\": 8912, \"source\": 4, \"target\": 7}, {\"weight\": 1233, \"source\": 5, \"target\": 6}, {\"weight\": 11577, \"source\": 5, \"target\": 8}, {\"weight\": 10083, \"source\": 5, \"target\": 7}, {\"weight\": 11084, \"source\": 6, \"target\": 8}, {\"weight\": 9653, \"source\": 6, \"target\": 7}, {\"weight\": 7627, \"source\": 7, \"target\": 8}]}",
"id": 933,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, WSX, ACC, PHS, YQD, HIA, SHE, BLJ, FWA\n- Travel distances (in kilometers) between each pair of airports:\nKRO to ACC: 8072\nKRO to SHE: 5287\nKRO to HIA: 5447\nKRO to FWA: 9570\nKRO to BLJ: 5258\nKRO to PHS: 6686\nKRO to YQD: 11048\nKRO to WSX: 10821\nWSX to ACC: 12265\nWSX to SHE: 8364\nWSX to HIA: 9597\nWSX to FWA: 3170\nWSX to BLJ: 9703\nWSX to PHS: 12005\nWSX to YQD: 2596\nACC to SHE: 12400\nACC to HIA: 12477\nACC to FWA: 9242\nACC to BLJ: 3809\nACC to PHS: 11236\nACC to YQD: 10835\nPHS to SHE: 3714\nPHS to HIA: 2968\nPHS to FWA: 13981\nPHS to BLJ: 10080\nPHS to YQD: 14045\nYQD to SHE: 10387\nYQD to HIA: 11620\nYQD to FWA: 1910\nYQD to BLJ: 8912\nHIA to SHE: 1233\nHIA to FWA: 11577\nHIA to BLJ: 10083\nSHE to FWA: 11084\nSHE to BLJ: 9653\nBLJ to FWA: 7627\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UYL, VXO, KCA, ESB, LKO, ARW, UKX, VCT, HAH\n- Travel distances (in kilometers) between each pair of airports:\nUYL to UKX: 8927\nUYL to VXO: 6314\nUYL to LKO: 6063\nUYL to HAH: 4183\nUYL to KCA: 7390\nUYL to ESB: 3994\nUYL to VCT: 14002\nUYL to ARW: 5987\nVXO to UKX: 5988\nVXO to LKO: 6359\nVXO to HAH: 8613\nVXO to KCA: 5741\nVXO to ESB: 2907\nVXO to VCT: 8627\nVXO to ARW: 2821\nKCA to UKX: 3697\nKCA to LKO: 3230\nKCA to HAH: 8602\nKCA to ESB: 4963\nKCA to VCT: 13890\nKCA to ARW: 7301\nESB to UKX: 6129\nESB to LKO: 4653\nESB to HAH: 5913\nESB to VCT: 10783\nESB to ARW: 2885\nLKO to UKX: 5232\nLKO to HAH: 6952\nLKO to VCT: 14130\nLKO to ARW: 7431\nARW to UKX: 7861\nARW to HAH: 8307\nARW to VCT: 9845\nUKX to HAH: 10143\nUKX to VCT: 13914\nVCT to HAH: 15615\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49401,
"style": "rule"
}
|
{
"exact_answer": 49401,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UYL\", \"id\": 0}, {\"name\": \"VXO\", \"id\": 1}, {\"name\": \"KCA\", \"id\": 2}, {\"name\": \"ESB\", \"id\": 3}, {\"name\": \"LKO\", \"id\": 4}, {\"name\": \"ARW\", \"id\": 5}, {\"name\": \"UKX\", \"id\": 6}, {\"name\": \"VCT\", \"id\": 7}, {\"name\": \"HAH\", \"id\": 8}], \"links\": [{\"weight\": 8927, \"source\": 0, \"target\": 6}, {\"weight\": 6314, \"source\": 0, \"target\": 1}, {\"weight\": 6063, \"source\": 0, \"target\": 4}, {\"weight\": 4183, \"source\": 0, \"target\": 8}, {\"weight\": 7390, \"source\": 0, \"target\": 2}, {\"weight\": 3994, \"source\": 0, \"target\": 3}, {\"weight\": 14002, \"source\": 0, \"target\": 7}, {\"weight\": 5987, \"source\": 0, \"target\": 5}, {\"weight\": 5988, \"source\": 1, \"target\": 6}, {\"weight\": 6359, \"source\": 1, \"target\": 4}, {\"weight\": 8613, \"source\": 1, \"target\": 8}, {\"weight\": 5741, \"source\": 1, \"target\": 2}, {\"weight\": 2907, \"source\": 1, \"target\": 3}, {\"weight\": 8627, \"source\": 1, \"target\": 7}, {\"weight\": 2821, \"source\": 1, \"target\": 5}, {\"weight\": 3697, \"source\": 2, \"target\": 6}, {\"weight\": 3230, \"source\": 2, \"target\": 4}, {\"weight\": 8602, \"source\": 2, \"target\": 8}, {\"weight\": 4963, \"source\": 2, \"target\": 3}, {\"weight\": 13890, \"source\": 2, \"target\": 7}, {\"weight\": 7301, \"source\": 2, \"target\": 5}, {\"weight\": 6129, \"source\": 3, \"target\": 6}, {\"weight\": 4653, \"source\": 3, \"target\": 4}, {\"weight\": 5913, \"source\": 3, \"target\": 8}, {\"weight\": 10783, \"source\": 3, \"target\": 7}, {\"weight\": 2885, \"source\": 3, \"target\": 5}, {\"weight\": 5232, \"source\": 4, \"target\": 6}, {\"weight\": 6952, \"source\": 4, \"target\": 8}, {\"weight\": 14130, \"source\": 4, \"target\": 7}, {\"weight\": 7431, \"source\": 4, \"target\": 5}, {\"weight\": 7861, \"source\": 5, \"target\": 6}, {\"weight\": 8307, \"source\": 5, \"target\": 8}, {\"weight\": 9845, \"source\": 5, \"target\": 7}, {\"weight\": 10143, \"source\": 6, \"target\": 8}, {\"weight\": 13914, \"source\": 6, \"target\": 7}, {\"weight\": 15615, \"source\": 7, \"target\": 8}]}",
"id": 934,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UYL, VXO, KCA, ESB, LKO, ARW, UKX, VCT, HAH\n- Travel distances (in kilometers) between each pair of airports:\nUYL to UKX: 8927\nUYL to VXO: 6314\nUYL to LKO: 6063\nUYL to HAH: 4183\nUYL to KCA: 7390\nUYL to ESB: 3994\nUYL to VCT: 14002\nUYL to ARW: 5987\nVXO to UKX: 5988\nVXO to LKO: 6359\nVXO to HAH: 8613\nVXO to KCA: 5741\nVXO to ESB: 2907\nVXO to VCT: 8627\nVXO to ARW: 2821\nKCA to UKX: 3697\nKCA to LKO: 3230\nKCA to HAH: 8602\nKCA to ESB: 4963\nKCA to VCT: 13890\nKCA to ARW: 7301\nESB to UKX: 6129\nESB to LKO: 4653\nESB to HAH: 5913\nESB to VCT: 10783\nESB to ARW: 2885\nLKO to UKX: 5232\nLKO to HAH: 6952\nLKO to VCT: 14130\nLKO to ARW: 7431\nARW to UKX: 7861\nARW to HAH: 8307\nARW to VCT: 9845\nUKX to HAH: 10143\nUKX to VCT: 13914\nVCT to HAH: 15615\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSK, YGR, VLN, YOP, DGO, PUJ, BDO, JSY, ANU\n- Travel distances (in kilometers) between each pair of airports:\nYSK to ANU: 4678\nYSK to PUJ: 4326\nYSK to VLN: 5282\nYSK to YOP: 3265\nYSK to JSY: 8914\nYSK to YGR: 2236\nYSK to BDO: 16809\nYSK to DGO: 4780\nYGR to ANU: 4318\nYGR to PUJ: 3880\nYGR to VLN: 4906\nYGR to YOP: 4610\nYGR to JSY: 8201\nYGR to BDO: 17511\nYGR to DGO: 4628\nVLN to ANU: 1297\nVLN to PUJ: 1089\nVLN to YOP: 6995\nVLN to JSY: 10017\nVLN to BDO: 19568\nVLN to DGO: 4440\nYOP to ANU: 6678\nYOP to PUJ: 6145\nYOP to JSY: 9914\nYOP to BDO: 15143\nYOP to DGO: 4599\nDGO to ANU: 4800\nDGO to PUJ: 4092\nDGO to JSY: 11402\nDGO to BDO: 16694\nPUJ to ANU: 713\nPUJ to JSY: 9051\nPUJ to BDO: 18671\nBDO to ANU: 18411\nBDO to JSY: 10140\nJSY to ANU: 9061\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50715,
"style": "rule"
}
|
{
"exact_answer": 50715,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YSK\", \"id\": 0}, {\"name\": \"YGR\", \"id\": 1}, {\"name\": \"VLN\", \"id\": 2}, {\"name\": \"YOP\", \"id\": 3}, {\"name\": \"DGO\", \"id\": 4}, {\"name\": \"PUJ\", \"id\": 5}, {\"name\": \"BDO\", \"id\": 6}, {\"name\": \"JSY\", \"id\": 7}, {\"name\": \"ANU\", \"id\": 8}], \"links\": [{\"weight\": 4678, \"source\": 0, \"target\": 8}, {\"weight\": 4326, \"source\": 0, \"target\": 5}, {\"weight\": 5282, \"source\": 0, \"target\": 2}, {\"weight\": 3265, \"source\": 0, \"target\": 3}, {\"weight\": 8914, \"source\": 0, \"target\": 7}, {\"weight\": 2236, \"source\": 0, \"target\": 1}, {\"weight\": 16809, \"source\": 0, \"target\": 6}, {\"weight\": 4780, \"source\": 0, \"target\": 4}, {\"weight\": 4318, \"source\": 1, \"target\": 8}, {\"weight\": 3880, \"source\": 1, \"target\": 5}, {\"weight\": 4906, \"source\": 1, \"target\": 2}, {\"weight\": 4610, \"source\": 1, \"target\": 3}, {\"weight\": 8201, \"source\": 1, \"target\": 7}, {\"weight\": 17511, \"source\": 1, \"target\": 6}, {\"weight\": 4628, \"source\": 1, \"target\": 4}, {\"weight\": 1297, \"source\": 2, \"target\": 8}, {\"weight\": 1089, \"source\": 2, \"target\": 5}, {\"weight\": 6995, \"source\": 2, \"target\": 3}, {\"weight\": 10017, \"source\": 2, \"target\": 7}, {\"weight\": 19568, \"source\": 2, \"target\": 6}, {\"weight\": 4440, \"source\": 2, \"target\": 4}, {\"weight\": 6678, \"source\": 3, \"target\": 8}, {\"weight\": 6145, \"source\": 3, \"target\": 5}, {\"weight\": 9914, \"source\": 3, \"target\": 7}, {\"weight\": 15143, \"source\": 3, \"target\": 6}, {\"weight\": 4599, \"source\": 3, \"target\": 4}, {\"weight\": 4800, \"source\": 4, \"target\": 8}, {\"weight\": 4092, \"source\": 4, \"target\": 5}, {\"weight\": 11402, \"source\": 4, \"target\": 7}, {\"weight\": 16694, \"source\": 4, \"target\": 6}, {\"weight\": 713, \"source\": 5, \"target\": 8}, {\"weight\": 9051, \"source\": 5, \"target\": 7}, {\"weight\": 18671, \"source\": 5, \"target\": 6}, {\"weight\": 18411, \"source\": 6, \"target\": 8}, {\"weight\": 10140, \"source\": 6, \"target\": 7}, {\"weight\": 9061, \"source\": 7, \"target\": 8}]}",
"id": 935,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSK, YGR, VLN, YOP, DGO, PUJ, BDO, JSY, ANU\n- Travel distances (in kilometers) between each pair of airports:\nYSK to ANU: 4678\nYSK to PUJ: 4326\nYSK to VLN: 5282\nYSK to YOP: 3265\nYSK to JSY: 8914\nYSK to YGR: 2236\nYSK to BDO: 16809\nYSK to DGO: 4780\nYGR to ANU: 4318\nYGR to PUJ: 3880\nYGR to VLN: 4906\nYGR to YOP: 4610\nYGR to JSY: 8201\nYGR to BDO: 17511\nYGR to DGO: 4628\nVLN to ANU: 1297\nVLN to PUJ: 1089\nVLN to YOP: 6995\nVLN to JSY: 10017\nVLN to BDO: 19568\nVLN to DGO: 4440\nYOP to ANU: 6678\nYOP to PUJ: 6145\nYOP to JSY: 9914\nYOP to BDO: 15143\nYOP to DGO: 4599\nDGO to ANU: 4800\nDGO to PUJ: 4092\nDGO to JSY: 11402\nDGO to BDO: 16694\nPUJ to ANU: 713\nPUJ to JSY: 9051\nPUJ to BDO: 18671\nBDO to ANU: 18411\nBDO to JSY: 10140\nJSY to ANU: 9061\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PXM, ISN, KWA, YGX, SKU, ITO, GRU, GRV, JDO\n- Travel distances (in kilometers) between each pair of airports:\nPXM to GRU: 7881\nPXM to GRV: 12665\nPXM to SKU: 11719\nPXM to JDO: 8037\nPXM to ISN: 3709\nPXM to ITO: 6884\nPXM to YGX: 4700\nPXM to KWA: 11077\nISN to GRU: 9836\nISN to GRV: 10969\nISN to SKU: 9679\nISN to JDO: 9193\nISN to ITO: 6250\nISN to YGX: 2247\nISN to KWA: 10434\nKWA to GRU: 17696\nKWA to GRV: 14130\nKWA to SKU: 14618\nKWA to JDO: 17971\nKWA to ITO: 4447\nKWA to YGX: 11051\nYGX to GRU: 10301\nYGX to GRV: 11245\nYGX to SKU: 10148\nYGX to JDO: 9654\nYGX to ITO: 7094\nSKU to GRU: 10556\nSKU to GRV: 3654\nSKU to JDO: 8706\nSKU to ITO: 14291\nITO to GRU: 13855\nITO to GRV: 14951\nITO to JDO: 13750\nGRU to JDO: 1960\nGRU to GRV: 13245\nGRV to JDO: 11353\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53828,
"style": "rule"
}
|
{
"exact_answer": 53828,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PXM\", \"id\": 0}, {\"name\": \"ISN\", \"id\": 1}, {\"name\": \"KWA\", \"id\": 2}, {\"name\": \"YGX\", \"id\": 3}, {\"name\": \"SKU\", \"id\": 4}, {\"name\": \"ITO\", \"id\": 5}, {\"name\": \"GRU\", \"id\": 6}, {\"name\": \"GRV\", \"id\": 7}, {\"name\": \"JDO\", \"id\": 8}], \"links\": [{\"weight\": 7881, \"source\": 0, \"target\": 6}, {\"weight\": 12665, \"source\": 0, \"target\": 7}, {\"weight\": 11719, \"source\": 0, \"target\": 4}, {\"weight\": 8037, \"source\": 0, \"target\": 8}, {\"weight\": 3709, \"source\": 0, \"target\": 1}, {\"weight\": 6884, \"source\": 0, \"target\": 5}, {\"weight\": 4700, \"source\": 0, \"target\": 3}, {\"weight\": 11077, \"source\": 0, \"target\": 2}, {\"weight\": 9836, \"source\": 1, \"target\": 6}, {\"weight\": 10969, \"source\": 1, \"target\": 7}, {\"weight\": 9679, \"source\": 1, \"target\": 4}, {\"weight\": 9193, \"source\": 1, \"target\": 8}, {\"weight\": 6250, \"source\": 1, \"target\": 5}, {\"weight\": 2247, \"source\": 1, \"target\": 3}, {\"weight\": 10434, \"source\": 1, \"target\": 2}, {\"weight\": 17696, \"source\": 2, \"target\": 6}, {\"weight\": 14130, \"source\": 2, \"target\": 7}, {\"weight\": 14618, \"source\": 2, \"target\": 4}, {\"weight\": 17971, \"source\": 2, \"target\": 8}, {\"weight\": 4447, \"source\": 2, \"target\": 5}, {\"weight\": 11051, \"source\": 2, \"target\": 3}, {\"weight\": 10301, \"source\": 3, \"target\": 6}, {\"weight\": 11245, \"source\": 3, \"target\": 7}, {\"weight\": 10148, \"source\": 3, \"target\": 4}, {\"weight\": 9654, \"source\": 3, \"target\": 8}, {\"weight\": 7094, \"source\": 3, \"target\": 5}, {\"weight\": 10556, \"source\": 4, \"target\": 6}, {\"weight\": 3654, \"source\": 4, \"target\": 7}, {\"weight\": 8706, \"source\": 4, \"target\": 8}, {\"weight\": 14291, \"source\": 4, \"target\": 5}, {\"weight\": 13855, \"source\": 5, \"target\": 6}, {\"weight\": 14951, \"source\": 5, \"target\": 7}, {\"weight\": 13750, \"source\": 5, \"target\": 8}, {\"weight\": 1960, \"source\": 6, \"target\": 8}, {\"weight\": 13245, \"source\": 6, \"target\": 7}, {\"weight\": 11353, \"source\": 7, \"target\": 8}]}",
"id": 936,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PXM, ISN, KWA, YGX, SKU, ITO, GRU, GRV, JDO\n- Travel distances (in kilometers) between each pair of airports:\nPXM to GRU: 7881\nPXM to GRV: 12665\nPXM to SKU: 11719\nPXM to JDO: 8037\nPXM to ISN: 3709\nPXM to ITO: 6884\nPXM to YGX: 4700\nPXM to KWA: 11077\nISN to GRU: 9836\nISN to GRV: 10969\nISN to SKU: 9679\nISN to JDO: 9193\nISN to ITO: 6250\nISN to YGX: 2247\nISN to KWA: 10434\nKWA to GRU: 17696\nKWA to GRV: 14130\nKWA to SKU: 14618\nKWA to JDO: 17971\nKWA to ITO: 4447\nKWA to YGX: 11051\nYGX to GRU: 10301\nYGX to GRV: 11245\nYGX to SKU: 10148\nYGX to JDO: 9654\nYGX to ITO: 7094\nSKU to GRU: 10556\nSKU to GRV: 3654\nSKU to JDO: 8706\nSKU to ITO: 14291\nITO to GRU: 13855\nITO to GRV: 14951\nITO to JDO: 13750\nGRU to JDO: 1960\nGRU to GRV: 13245\nGRV to JDO: 11353\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XMS, JDH, ICN, JAX, KGP, YNG, NAG, PLQ, KKI\n- Travel distances (in kilometers) between each pair of airports:\nXMS to JAX: 3673\nXMS to ICN: 15385\nXMS to KKI: 9960\nXMS to NAG: 17020\nXMS to JDH: 16642\nXMS to PLQ: 10934\nXMS to YNG: 4865\nXMS to KGP: 14110\nJDH to JAX: 13558\nJDH to ICN: 5125\nJDH to KKI: 15959\nJDH to NAG: 1328\nJDH to PLQ: 5865\nJDH to YNG: 13980\nJDH to KGP: 4860\nICN to JAX: 11912\nICN to KKI: 11371\nICN to NAG: 5094\nICN to PLQ: 7488\nICN to YNG: 12535\nICN to KGP: 6245\nJAX to KKI: 6604\nJAX to NAG: 13936\nJAX to PLQ: 8001\nJAX to YNG: 1636\nJAX to KGP: 11010\nKGP to KKI: 14322\nKGP to NAG: 5238\nKGP to PLQ: 3452\nKGP to YNG: 11431\nYNG to KKI: 7308\nYNG to NAG: 14358\nYNG to PLQ: 8424\nNAG to KKI: 16251\nNAG to PLQ: 6243\nPLQ to KKI: 11339\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49656,
"style": "rule"
}
|
{
"exact_answer": 49656,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XMS\", \"id\": 0}, {\"name\": \"JDH\", \"id\": 1}, {\"name\": \"ICN\", \"id\": 2}, {\"name\": \"JAX\", \"id\": 3}, {\"name\": \"KGP\", \"id\": 4}, {\"name\": \"YNG\", \"id\": 5}, {\"name\": \"NAG\", \"id\": 6}, {\"name\": \"PLQ\", \"id\": 7}, {\"name\": \"KKI\", \"id\": 8}], \"links\": [{\"weight\": 3673, \"source\": 0, \"target\": 3}, {\"weight\": 15385, \"source\": 0, \"target\": 2}, {\"weight\": 9960, \"source\": 0, \"target\": 8}, {\"weight\": 17020, \"source\": 0, \"target\": 6}, {\"weight\": 16642, \"source\": 0, \"target\": 1}, {\"weight\": 10934, \"source\": 0, \"target\": 7}, {\"weight\": 4865, \"source\": 0, \"target\": 5}, {\"weight\": 14110, \"source\": 0, \"target\": 4}, {\"weight\": 13558, \"source\": 1, \"target\": 3}, {\"weight\": 5125, \"source\": 1, \"target\": 2}, {\"weight\": 15959, \"source\": 1, \"target\": 8}, {\"weight\": 1328, \"source\": 1, \"target\": 6}, {\"weight\": 5865, \"source\": 1, \"target\": 7}, {\"weight\": 13980, \"source\": 1, \"target\": 5}, {\"weight\": 4860, \"source\": 1, \"target\": 4}, {\"weight\": 11912, \"source\": 2, \"target\": 3}, {\"weight\": 11371, \"source\": 2, \"target\": 8}, {\"weight\": 5094, \"source\": 2, \"target\": 6}, {\"weight\": 7488, \"source\": 2, \"target\": 7}, {\"weight\": 12535, \"source\": 2, \"target\": 5}, {\"weight\": 6245, \"source\": 2, \"target\": 4}, {\"weight\": 6604, \"source\": 3, \"target\": 8}, {\"weight\": 13936, \"source\": 3, \"target\": 6}, {\"weight\": 8001, \"source\": 3, \"target\": 7}, {\"weight\": 1636, \"source\": 3, \"target\": 5}, {\"weight\": 11010, \"source\": 3, \"target\": 4}, {\"weight\": 14322, \"source\": 4, \"target\": 8}, {\"weight\": 5238, \"source\": 4, \"target\": 6}, {\"weight\": 3452, \"source\": 4, \"target\": 7}, {\"weight\": 11431, \"source\": 4, \"target\": 5}, {\"weight\": 7308, \"source\": 5, \"target\": 8}, {\"weight\": 14358, \"source\": 5, \"target\": 6}, {\"weight\": 8424, \"source\": 5, \"target\": 7}, {\"weight\": 16251, \"source\": 6, \"target\": 8}, {\"weight\": 6243, \"source\": 6, \"target\": 7}, {\"weight\": 11339, \"source\": 7, \"target\": 8}]}",
"id": 937,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XMS, JDH, ICN, JAX, KGP, YNG, NAG, PLQ, KKI\n- Travel distances (in kilometers) between each pair of airports:\nXMS to JAX: 3673\nXMS to ICN: 15385\nXMS to KKI: 9960\nXMS to NAG: 17020\nXMS to JDH: 16642\nXMS to PLQ: 10934\nXMS to YNG: 4865\nXMS to KGP: 14110\nJDH to JAX: 13558\nJDH to ICN: 5125\nJDH to KKI: 15959\nJDH to NAG: 1328\nJDH to PLQ: 5865\nJDH to YNG: 13980\nJDH to KGP: 4860\nICN to JAX: 11912\nICN to KKI: 11371\nICN to NAG: 5094\nICN to PLQ: 7488\nICN to YNG: 12535\nICN to KGP: 6245\nJAX to KKI: 6604\nJAX to NAG: 13936\nJAX to PLQ: 8001\nJAX to YNG: 1636\nJAX to KGP: 11010\nKGP to KKI: 14322\nKGP to NAG: 5238\nKGP to PLQ: 3452\nKGP to YNG: 11431\nYNG to KKI: 7308\nYNG to NAG: 14358\nYNG to PLQ: 8424\nNAG to KKI: 16251\nNAG to PLQ: 6243\nPLQ to KKI: 11339\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KOJ, IZA, PHS, MOD, STX, HYN, YTZ, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nDGA to STX: 2834\nDGA to YTZ: 3194\nDGA to IZA: 6696\nDGA to KOJ: 13264\nDGA to HYN: 14515\nDGA to PHS: 16329\nDGA to MAJ: 11326\nDGA to MOD: 4218\nKOJ to STX: 14357\nKOJ to YTZ: 11660\nKOJ to IZA: 18799\nKOJ to HYN: 2311\nKOJ to PHS: 3782\nKOJ to MAJ: 6252\nKOJ to MOD: 9329\nIZA to STX: 5198\nIZA to YTZ: 8267\nIZA to HYN: 18676\nIZA to PHS: 17388\nIZA to MAJ: 17855\nIZA to MOD: 10731\nPHS to STX: 16441\nPHS to YTZ: 14367\nPHS to HYN: 2827\nPHS to MAJ: 8318\nPHS to MOD: 12787\nMOD to STX: 6107\nMOD to YTZ: 3814\nMOD to HYN: 10973\nMOD to MAJ: 7649\nSTX to YTZ: 3206\nSTX to HYN: 15023\nSTX to MAJ: 13317\nHYN to YTZ: 12553\nHYN to MAJ: 7673\nYTZ to MAJ: 11212\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51467,
"style": "rule"
}
|
{
"exact_answer": 51467,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DGA\", \"id\": 0}, {\"name\": \"KOJ\", \"id\": 1}, {\"name\": \"IZA\", \"id\": 2}, {\"name\": \"PHS\", \"id\": 3}, {\"name\": \"MOD\", \"id\": 4}, {\"name\": \"STX\", \"id\": 5}, {\"name\": \"HYN\", \"id\": 6}, {\"name\": \"YTZ\", \"id\": 7}, {\"name\": \"MAJ\", \"id\": 8}], \"links\": [{\"weight\": 2834, \"source\": 0, \"target\": 5}, {\"weight\": 3194, \"source\": 0, \"target\": 7}, {\"weight\": 6696, \"source\": 0, \"target\": 2}, {\"weight\": 13264, \"source\": 0, \"target\": 1}, {\"weight\": 14515, \"source\": 0, \"target\": 6}, {\"weight\": 16329, \"source\": 0, \"target\": 3}, {\"weight\": 11326, \"source\": 0, \"target\": 8}, {\"weight\": 4218, \"source\": 0, \"target\": 4}, {\"weight\": 14357, \"source\": 1, \"target\": 5}, {\"weight\": 11660, \"source\": 1, \"target\": 7}, {\"weight\": 18799, \"source\": 1, \"target\": 2}, {\"weight\": 2311, \"source\": 1, \"target\": 6}, {\"weight\": 3782, \"source\": 1, \"target\": 3}, {\"weight\": 6252, \"source\": 1, \"target\": 8}, {\"weight\": 9329, \"source\": 1, \"target\": 4}, {\"weight\": 5198, \"source\": 2, \"target\": 5}, {\"weight\": 8267, \"source\": 2, \"target\": 7}, {\"weight\": 18676, \"source\": 2, \"target\": 6}, {\"weight\": 17388, \"source\": 2, \"target\": 3}, {\"weight\": 17855, \"source\": 2, \"target\": 8}, {\"weight\": 10731, \"source\": 2, \"target\": 4}, {\"weight\": 16441, \"source\": 3, \"target\": 5}, {\"weight\": 14367, \"source\": 3, \"target\": 7}, {\"weight\": 2827, \"source\": 3, \"target\": 6}, {\"weight\": 8318, \"source\": 3, \"target\": 8}, {\"weight\": 12787, \"source\": 3, \"target\": 4}, {\"weight\": 6107, \"source\": 4, \"target\": 5}, {\"weight\": 3814, \"source\": 4, \"target\": 7}, {\"weight\": 10973, \"source\": 4, \"target\": 6}, {\"weight\": 7649, \"source\": 4, \"target\": 8}, {\"weight\": 3206, \"source\": 5, \"target\": 7}, {\"weight\": 15023, \"source\": 5, \"target\": 6}, {\"weight\": 13317, \"source\": 5, \"target\": 8}, {\"weight\": 12553, \"source\": 6, \"target\": 7}, {\"weight\": 7673, \"source\": 6, \"target\": 8}, {\"weight\": 11212, \"source\": 7, \"target\": 8}]}",
"id": 938,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KOJ, IZA, PHS, MOD, STX, HYN, YTZ, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nDGA to STX: 2834\nDGA to YTZ: 3194\nDGA to IZA: 6696\nDGA to KOJ: 13264\nDGA to HYN: 14515\nDGA to PHS: 16329\nDGA to MAJ: 11326\nDGA to MOD: 4218\nKOJ to STX: 14357\nKOJ to YTZ: 11660\nKOJ to IZA: 18799\nKOJ to HYN: 2311\nKOJ to PHS: 3782\nKOJ to MAJ: 6252\nKOJ to MOD: 9329\nIZA to STX: 5198\nIZA to YTZ: 8267\nIZA to HYN: 18676\nIZA to PHS: 17388\nIZA to MAJ: 17855\nIZA to MOD: 10731\nPHS to STX: 16441\nPHS to YTZ: 14367\nPHS to HYN: 2827\nPHS to MAJ: 8318\nPHS to MOD: 12787\nMOD to STX: 6107\nMOD to YTZ: 3814\nMOD to HYN: 10973\nMOD to MAJ: 7649\nSTX to YTZ: 3206\nSTX to HYN: 15023\nSTX to MAJ: 13317\nHYN to YTZ: 12553\nHYN to MAJ: 7673\nYTZ to MAJ: 11212\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HUY, BRR, YPN, CMB, KIS, BAX, ANF, IKA, JNX\n- Travel distances (in kilometers) between each pair of airports:\nHUY to KIS: 7327\nHUY to ANF: 11877\nHUY to IKA: 4445\nHUY to CMB: 8755\nHUY to JNX: 2707\nHUY to BRR: 932\nHUY to YPN: 5733\nHUY to BAX: 5438\nBRR to KIS: 7894\nBRR to ANF: 11996\nBRR to IKA: 4943\nBRR to CMB: 9260\nBRR to JNX: 3279\nBRR to YPN: 5873\nBRR to BAX: 5908\nYPN to KIS: 12216\nYPN to ANF: 8663\nYPN to IKA: 9517\nYPN to CMB: 13810\nYPN to JNX: 7678\nYPN to BAX: 10527\nCMB to KIS: 5384\nCMB to ANF: 17181\nCMB to IKA: 4317\nCMB to JNX: 6715\nCMB to BAX: 9421\nKIS to ANF: 12545\nKIS to IKA: 4637\nKIS to JNX: 5088\nKIS to BAX: 9555\nBAX to ANF: 16390\nBAX to IKA: 5364\nBAX to JNX: 5273\nANF to IKA: 14799\nANF to JNX: 12580\nIKA to JNX: 2602\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51027,
"style": "rule"
}
|
{
"exact_answer": 51027,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HUY\", \"id\": 0}, {\"name\": \"BRR\", \"id\": 1}, {\"name\": \"YPN\", \"id\": 2}, {\"name\": \"CMB\", \"id\": 3}, {\"name\": \"KIS\", \"id\": 4}, {\"name\": \"BAX\", \"id\": 5}, {\"name\": \"ANF\", \"id\": 6}, {\"name\": \"IKA\", \"id\": 7}, {\"name\": \"JNX\", \"id\": 8}], \"links\": [{\"weight\": 7327, \"source\": 0, \"target\": 4}, {\"weight\": 11877, \"source\": 0, \"target\": 6}, {\"weight\": 4445, \"source\": 0, \"target\": 7}, {\"weight\": 8755, \"source\": 0, \"target\": 3}, {\"weight\": 2707, \"source\": 0, \"target\": 8}, {\"weight\": 932, \"source\": 0, \"target\": 1}, {\"weight\": 5733, \"source\": 0, \"target\": 2}, {\"weight\": 5438, \"source\": 0, \"target\": 5}, {\"weight\": 7894, \"source\": 1, \"target\": 4}, {\"weight\": 11996, \"source\": 1, \"target\": 6}, {\"weight\": 4943, \"source\": 1, \"target\": 7}, {\"weight\": 9260, \"source\": 1, \"target\": 3}, {\"weight\": 3279, \"source\": 1, \"target\": 8}, {\"weight\": 5873, \"source\": 1, \"target\": 2}, {\"weight\": 5908, \"source\": 1, \"target\": 5}, {\"weight\": 12216, \"source\": 2, \"target\": 4}, {\"weight\": 8663, \"source\": 2, \"target\": 6}, {\"weight\": 9517, \"source\": 2, \"target\": 7}, {\"weight\": 13810, \"source\": 2, \"target\": 3}, {\"weight\": 7678, \"source\": 2, \"target\": 8}, {\"weight\": 10527, \"source\": 2, \"target\": 5}, {\"weight\": 5384, \"source\": 3, \"target\": 4}, {\"weight\": 17181, \"source\": 3, \"target\": 6}, {\"weight\": 4317, \"source\": 3, \"target\": 7}, {\"weight\": 6715, \"source\": 3, \"target\": 8}, {\"weight\": 9421, \"source\": 3, \"target\": 5}, {\"weight\": 12545, \"source\": 4, \"target\": 6}, {\"weight\": 4637, \"source\": 4, \"target\": 7}, {\"weight\": 5088, \"source\": 4, \"target\": 8}, {\"weight\": 9555, \"source\": 4, \"target\": 5}, {\"weight\": 16390, \"source\": 5, \"target\": 6}, {\"weight\": 5364, \"source\": 5, \"target\": 7}, {\"weight\": 5273, \"source\": 5, \"target\": 8}, {\"weight\": 14799, \"source\": 6, \"target\": 7}, {\"weight\": 12580, \"source\": 6, \"target\": 8}, {\"weight\": 2602, \"source\": 7, \"target\": 8}]}",
"id": 939,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HUY, BRR, YPN, CMB, KIS, BAX, ANF, IKA, JNX\n- Travel distances (in kilometers) between each pair of airports:\nHUY to KIS: 7327\nHUY to ANF: 11877\nHUY to IKA: 4445\nHUY to CMB: 8755\nHUY to JNX: 2707\nHUY to BRR: 932\nHUY to YPN: 5733\nHUY to BAX: 5438\nBRR to KIS: 7894\nBRR to ANF: 11996\nBRR to IKA: 4943\nBRR to CMB: 9260\nBRR to JNX: 3279\nBRR to YPN: 5873\nBRR to BAX: 5908\nYPN to KIS: 12216\nYPN to ANF: 8663\nYPN to IKA: 9517\nYPN to CMB: 13810\nYPN to JNX: 7678\nYPN to BAX: 10527\nCMB to KIS: 5384\nCMB to ANF: 17181\nCMB to IKA: 4317\nCMB to JNX: 6715\nCMB to BAX: 9421\nKIS to ANF: 12545\nKIS to IKA: 4637\nKIS to JNX: 5088\nKIS to BAX: 9555\nBAX to ANF: 16390\nBAX to IKA: 5364\nBAX to JNX: 5273\nANF to IKA: 14799\nANF to JNX: 12580\nIKA to JNX: 2602\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, UKB, MTS, YVQ, WUZ, RMT, MZT, AGF, TLJ\n- Travel distances (in kilometers) between each pair of airports:\nOIM to TLJ: 10501\nOIM to MZT: 10588\nOIM to YVQ: 10158\nOIM to AGF: 10573\nOIM to UKB: 520\nOIM to WUZ: 3335\nOIM to MTS: 13976\nOIM to RMT: 10814\nUKB to TLJ: 10835\nUKB to MZT: 10922\nUKB to YVQ: 10492\nUKB to AGF: 10332\nUKB to WUZ: 2863\nUKB to MTS: 13471\nUKB to RMT: 10950\nMTS to TLJ: 19203\nMTS to MZT: 16032\nMTS to YVQ: 17393\nMTS to AGF: 9812\nMTS to WUZ: 10897\nMTS to RMT: 18115\nYVQ to TLJ: 5292\nYVQ to MZT: 5183\nYVQ to AGF: 9396\nYVQ to WUZ: 13107\nYVQ to RMT: 11150\nWUZ to TLJ: 13470\nWUZ to MZT: 13684\nWUZ to AGF: 9890\nWUZ to RMT: 13399\nRMT to TLJ: 9918\nRMT to MZT: 8950\nRMT to AGF: 16916\nMZT to TLJ: 5745\nMZT to AGF: 9890\nAGF to TLJ: 11288\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64289,
"style": "rule"
}
|
{
"exact_answer": 64289,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OIM\", \"id\": 0}, {\"name\": \"UKB\", \"id\": 1}, {\"name\": \"MTS\", \"id\": 2}, {\"name\": \"YVQ\", \"id\": 3}, {\"name\": \"WUZ\", \"id\": 4}, {\"name\": \"RMT\", \"id\": 5}, {\"name\": \"MZT\", \"id\": 6}, {\"name\": \"AGF\", \"id\": 7}, {\"name\": \"TLJ\", \"id\": 8}], \"links\": [{\"weight\": 10501, \"source\": 0, \"target\": 8}, {\"weight\": 10588, \"source\": 0, \"target\": 6}, {\"weight\": 10158, \"source\": 0, \"target\": 3}, {\"weight\": 10573, \"source\": 0, \"target\": 7}, {\"weight\": 520, \"source\": 0, \"target\": 1}, {\"weight\": 3335, \"source\": 0, \"target\": 4}, {\"weight\": 13976, \"source\": 0, \"target\": 2}, {\"weight\": 10814, \"source\": 0, \"target\": 5}, {\"weight\": 10835, \"source\": 1, \"target\": 8}, {\"weight\": 10922, \"source\": 1, \"target\": 6}, {\"weight\": 10492, \"source\": 1, \"target\": 3}, {\"weight\": 10332, \"source\": 1, \"target\": 7}, {\"weight\": 2863, \"source\": 1, \"target\": 4}, {\"weight\": 13471, \"source\": 1, \"target\": 2}, {\"weight\": 10950, \"source\": 1, \"target\": 5}, {\"weight\": 19203, \"source\": 2, \"target\": 8}, {\"weight\": 16032, \"source\": 2, \"target\": 6}, {\"weight\": 17393, \"source\": 2, \"target\": 3}, {\"weight\": 9812, \"source\": 2, \"target\": 7}, {\"weight\": 10897, \"source\": 2, \"target\": 4}, {\"weight\": 18115, \"source\": 2, \"target\": 5}, {\"weight\": 5292, \"source\": 3, \"target\": 8}, {\"weight\": 5183, \"source\": 3, \"target\": 6}, {\"weight\": 9396, \"source\": 3, \"target\": 7}, {\"weight\": 13107, \"source\": 3, \"target\": 4}, {\"weight\": 11150, \"source\": 3, \"target\": 5}, {\"weight\": 13470, \"source\": 4, \"target\": 8}, {\"weight\": 13684, \"source\": 4, \"target\": 6}, {\"weight\": 9890, \"source\": 4, \"target\": 7}, {\"weight\": 13399, \"source\": 4, \"target\": 5}, {\"weight\": 9918, \"source\": 5, \"target\": 8}, {\"weight\": 8950, \"source\": 5, \"target\": 6}, {\"weight\": 16916, \"source\": 5, \"target\": 7}, {\"weight\": 5745, \"source\": 6, \"target\": 8}, {\"weight\": 9890, \"source\": 6, \"target\": 7}, {\"weight\": 11288, \"source\": 7, \"target\": 8}]}",
"id": 940,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, UKB, MTS, YVQ, WUZ, RMT, MZT, AGF, TLJ\n- Travel distances (in kilometers) between each pair of airports:\nOIM to TLJ: 10501\nOIM to MZT: 10588\nOIM to YVQ: 10158\nOIM to AGF: 10573\nOIM to UKB: 520\nOIM to WUZ: 3335\nOIM to MTS: 13976\nOIM to RMT: 10814\nUKB to TLJ: 10835\nUKB to MZT: 10922\nUKB to YVQ: 10492\nUKB to AGF: 10332\nUKB to WUZ: 2863\nUKB to MTS: 13471\nUKB to RMT: 10950\nMTS to TLJ: 19203\nMTS to MZT: 16032\nMTS to YVQ: 17393\nMTS to AGF: 9812\nMTS to WUZ: 10897\nMTS to RMT: 18115\nYVQ to TLJ: 5292\nYVQ to MZT: 5183\nYVQ to AGF: 9396\nYVQ to WUZ: 13107\nYVQ to RMT: 11150\nWUZ to TLJ: 13470\nWUZ to MZT: 13684\nWUZ to AGF: 9890\nWUZ to RMT: 13399\nRMT to TLJ: 9918\nRMT to MZT: 8950\nRMT to AGF: 16916\nMZT to TLJ: 5745\nMZT to AGF: 9890\nAGF to TLJ: 11288\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IBE, DRG, YCO, YIO, YKM, WAE, ZEL, YPX, KND\n- Travel distances (in kilometers) between each pair of airports:\nIBE to YPX: 6310\nIBE to YCO: 8252\nIBE to YIO: 7884\nIBE to DRG: 9911\nIBE to ZEL: 7357\nIBE to YKM: 6877\nIBE to KND: 12581\nIBE to WAE: 13138\nDRG to YPX: 7192\nDRG to YCO: 5806\nDRG to YIO: 8679\nDRG to ZEL: 3989\nDRG to YKM: 3459\nDRG to KND: 18096\nDRG to WAE: 16197\nYCO to YPX: 4085\nYCO to YIO: 4065\nYCO to ZEL: 2849\nYCO to YKM: 2677\nYCO to KND: 15540\nYCO to WAE: 13628\nYIO to YPX: 2338\nYIO to ZEL: 5722\nYIO to YKM: 5550\nYIO to KND: 14931\nYIO to WAE: 12743\nYKM to YPX: 4063\nYKM to ZEL: 860\nYKM to KND: 15453\nYKM to WAE: 13068\nWAE to YPX: 11505\nWAE to ZEL: 13247\nWAE to KND: 6210\nZEL to YPX: 4314\nZEL to KND: 15629\nYPX to KND: 13357\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53778,
"style": "rule"
}
|
{
"exact_answer": 53778,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IBE\", \"id\": 0}, {\"name\": \"DRG\", \"id\": 1}, {\"name\": \"YCO\", \"id\": 2}, {\"name\": \"YIO\", \"id\": 3}, {\"name\": \"YKM\", \"id\": 4}, {\"name\": \"WAE\", \"id\": 5}, {\"name\": \"ZEL\", \"id\": 6}, {\"name\": \"YPX\", \"id\": 7}, {\"name\": \"KND\", \"id\": 8}], \"links\": [{\"weight\": 6310, \"source\": 0, \"target\": 7}, {\"weight\": 8252, \"source\": 0, \"target\": 2}, {\"weight\": 7884, \"source\": 0, \"target\": 3}, {\"weight\": 9911, \"source\": 0, \"target\": 1}, {\"weight\": 7357, \"source\": 0, \"target\": 6}, {\"weight\": 6877, \"source\": 0, \"target\": 4}, {\"weight\": 12581, \"source\": 0, \"target\": 8}, {\"weight\": 13138, \"source\": 0, \"target\": 5}, {\"weight\": 7192, \"source\": 1, \"target\": 7}, {\"weight\": 5806, \"source\": 1, \"target\": 2}, {\"weight\": 8679, \"source\": 1, \"target\": 3}, {\"weight\": 3989, \"source\": 1, \"target\": 6}, {\"weight\": 3459, \"source\": 1, \"target\": 4}, {\"weight\": 18096, \"source\": 1, \"target\": 8}, {\"weight\": 16197, \"source\": 1, \"target\": 5}, {\"weight\": 4085, \"source\": 2, \"target\": 7}, {\"weight\": 4065, \"source\": 2, \"target\": 3}, {\"weight\": 2849, \"source\": 2, \"target\": 6}, {\"weight\": 2677, \"source\": 2, \"target\": 4}, {\"weight\": 15540, \"source\": 2, \"target\": 8}, {\"weight\": 13628, \"source\": 2, \"target\": 5}, {\"weight\": 2338, \"source\": 3, \"target\": 7}, {\"weight\": 5722, \"source\": 3, \"target\": 6}, {\"weight\": 5550, \"source\": 3, \"target\": 4}, {\"weight\": 14931, \"source\": 3, \"target\": 8}, {\"weight\": 12743, \"source\": 3, \"target\": 5}, {\"weight\": 4063, \"source\": 4, \"target\": 7}, {\"weight\": 860, \"source\": 4, \"target\": 6}, {\"weight\": 15453, \"source\": 4, \"target\": 8}, {\"weight\": 13068, \"source\": 4, \"target\": 5}, {\"weight\": 11505, \"source\": 5, \"target\": 7}, {\"weight\": 13247, \"source\": 5, \"target\": 6}, {\"weight\": 6210, \"source\": 5, \"target\": 8}, {\"weight\": 4314, \"source\": 6, \"target\": 7}, {\"weight\": 15629, \"source\": 6, \"target\": 8}, {\"weight\": 13357, \"source\": 7, \"target\": 8}]}",
"id": 941,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IBE, DRG, YCO, YIO, YKM, WAE, ZEL, YPX, KND\n- Travel distances (in kilometers) between each pair of airports:\nIBE to YPX: 6310\nIBE to YCO: 8252\nIBE to YIO: 7884\nIBE to DRG: 9911\nIBE to ZEL: 7357\nIBE to YKM: 6877\nIBE to KND: 12581\nIBE to WAE: 13138\nDRG to YPX: 7192\nDRG to YCO: 5806\nDRG to YIO: 8679\nDRG to ZEL: 3989\nDRG to YKM: 3459\nDRG to KND: 18096\nDRG to WAE: 16197\nYCO to YPX: 4085\nYCO to YIO: 4065\nYCO to ZEL: 2849\nYCO to YKM: 2677\nYCO to KND: 15540\nYCO to WAE: 13628\nYIO to YPX: 2338\nYIO to ZEL: 5722\nYIO to YKM: 5550\nYIO to KND: 14931\nYIO to WAE: 12743\nYKM to YPX: 4063\nYKM to ZEL: 860\nYKM to KND: 15453\nYKM to WAE: 13068\nWAE to YPX: 11505\nWAE to ZEL: 13247\nWAE to KND: 6210\nZEL to YPX: 4314\nZEL to KND: 15629\nYPX to KND: 13357\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CNX, HSN, ZSE, MEM, HUN, LUO, LAR, BNA\n- Travel distances (in kilometers) between each pair of airports:\nGES to CNX: 3577\nGES to MEM: 14443\nGES to BNA: 14436\nGES to HUN: 2145\nGES to ZSE: 8784\nGES to HSN: 2927\nGES to LUO: 14002\nGES to LAR: 13239\nCNX to MEM: 14260\nCNX to BNA: 14128\nCNX to HUN: 2422\nCNX to ZSE: 7484\nCNX to HSN: 2806\nCNX to LUO: 11138\nCNX to LAR: 13370\nHSN to MEM: 12270\nHSN to BNA: 12138\nHSN to HUN: 936\nHSN to ZSE: 9214\nHSN to LUO: 13229\nHSN to LAR: 11133\nZSE to MEM: 16999\nZSE to BNA: 16684\nZSE to HUN: 8808\nZSE to LUO: 6607\nZSE to LAR: 17716\nMEM to BNA: 323\nMEM to HUN: 12916\nMEM to LUO: 13032\nMEM to LAR: 1583\nHUN to BNA: 12784\nHUN to LUO: 13083\nHUN to LAR: 11741\nLUO to BNA: 12709\nLUO to LAR: 14192\nLAR to BNA: 1809\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46497,
"style": "rule"
}
|
{
"exact_answer": 46497,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GES\", \"id\": 0}, {\"name\": \"CNX\", \"id\": 1}, {\"name\": \"HSN\", \"id\": 2}, {\"name\": \"ZSE\", \"id\": 3}, {\"name\": \"MEM\", \"id\": 4}, {\"name\": \"HUN\", \"id\": 5}, {\"name\": \"LUO\", \"id\": 6}, {\"name\": \"LAR\", \"id\": 7}, {\"name\": \"BNA\", \"id\": 8}], \"links\": [{\"weight\": 3577, \"source\": 0, \"target\": 1}, {\"weight\": 14443, \"source\": 0, \"target\": 4}, {\"weight\": 14436, \"source\": 0, \"target\": 8}, {\"weight\": 2145, \"source\": 0, \"target\": 5}, {\"weight\": 8784, \"source\": 0, \"target\": 3}, {\"weight\": 2927, \"source\": 0, \"target\": 2}, {\"weight\": 14002, \"source\": 0, \"target\": 6}, {\"weight\": 13239, \"source\": 0, \"target\": 7}, {\"weight\": 14260, \"source\": 1, \"target\": 4}, {\"weight\": 14128, \"source\": 1, \"target\": 8}, {\"weight\": 2422, \"source\": 1, \"target\": 5}, {\"weight\": 7484, \"source\": 1, \"target\": 3}, {\"weight\": 2806, \"source\": 1, \"target\": 2}, {\"weight\": 11138, \"source\": 1, \"target\": 6}, {\"weight\": 13370, \"source\": 1, \"target\": 7}, {\"weight\": 12270, \"source\": 2, \"target\": 4}, {\"weight\": 12138, \"source\": 2, \"target\": 8}, {\"weight\": 936, \"source\": 2, \"target\": 5}, {\"weight\": 9214, \"source\": 2, \"target\": 3}, {\"weight\": 13229, \"source\": 2, \"target\": 6}, {\"weight\": 11133, \"source\": 2, \"target\": 7}, {\"weight\": 16999, \"source\": 3, \"target\": 4}, {\"weight\": 16684, \"source\": 3, \"target\": 8}, {\"weight\": 8808, \"source\": 3, \"target\": 5}, {\"weight\": 6607, \"source\": 3, \"target\": 6}, {\"weight\": 17716, \"source\": 3, \"target\": 7}, {\"weight\": 323, \"source\": 4, \"target\": 8}, {\"weight\": 12916, \"source\": 4, \"target\": 5}, {\"weight\": 13032, \"source\": 4, \"target\": 6}, {\"weight\": 1583, \"source\": 4, \"target\": 7}, {\"weight\": 12784, \"source\": 5, \"target\": 8}, {\"weight\": 13083, \"source\": 5, \"target\": 6}, {\"weight\": 11741, \"source\": 5, \"target\": 7}, {\"weight\": 12709, \"source\": 6, \"target\": 8}, {\"weight\": 14192, \"source\": 6, \"target\": 7}, {\"weight\": 1809, \"source\": 7, \"target\": 8}]}",
"id": 942,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CNX, HSN, ZSE, MEM, HUN, LUO, LAR, BNA\n- Travel distances (in kilometers) between each pair of airports:\nGES to CNX: 3577\nGES to MEM: 14443\nGES to BNA: 14436\nGES to HUN: 2145\nGES to ZSE: 8784\nGES to HSN: 2927\nGES to LUO: 14002\nGES to LAR: 13239\nCNX to MEM: 14260\nCNX to BNA: 14128\nCNX to HUN: 2422\nCNX to ZSE: 7484\nCNX to HSN: 2806\nCNX to LUO: 11138\nCNX to LAR: 13370\nHSN to MEM: 12270\nHSN to BNA: 12138\nHSN to HUN: 936\nHSN to ZSE: 9214\nHSN to LUO: 13229\nHSN to LAR: 11133\nZSE to MEM: 16999\nZSE to BNA: 16684\nZSE to HUN: 8808\nZSE to LUO: 6607\nZSE to LAR: 17716\nMEM to BNA: 323\nMEM to HUN: 12916\nMEM to LUO: 13032\nMEM to LAR: 1583\nHUN to BNA: 12784\nHUN to LUO: 13083\nHUN to LAR: 11741\nLUO to BNA: 12709\nLUO to LAR: 14192\nLAR to BNA: 1809\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGU, KZI, MQJ, JEG, PXU, BTS, MGZ, CVG, TIF\n- Travel distances (in kilometers) between each pair of airports:\nAGU to MGZ: 15932\nAGU to CVG: 2556\nAGU to BTS: 10210\nAGU to TIF: 13755\nAGU to JEG: 9305\nAGU to KZI: 11651\nAGU to MQJ: 14668\nAGU to PXU: 14891\nKZI to MGZ: 8227\nKZI to CVG: 9095\nKZI to BTS: 2171\nKZI to TIF: 2749\nKZI to JEG: 6092\nKZI to MQJ: 8228\nKZI to PXU: 9261\nMQJ to MGZ: 7226\nMQJ to CVG: 13226\nMQJ to BTS: 7430\nMQJ to TIF: 8925\nMQJ to JEG: 10313\nMQJ to PXU: 6494\nJEG to MGZ: 12384\nJEG to CVG: 6755\nJEG to BTS: 4561\nJEG to TIF: 8076\nJEG to PXU: 12740\nPXU to MGZ: 2276\nPXU to CVG: 14069\nPXU to BTS: 9518\nPXU to TIF: 7570\nBTS to MGZ: 8969\nBTS to CVG: 7660\nBTS to TIF: 4247\nMGZ to CVG: 14801\nMGZ to TIF: 6465\nCVG to TIF: 11203\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48695,
"style": "rule"
}
|
{
"exact_answer": 48695,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AGU\", \"id\": 0}, {\"name\": \"KZI\", \"id\": 1}, {\"name\": \"MQJ\", \"id\": 2}, {\"name\": \"JEG\", \"id\": 3}, {\"name\": \"PXU\", \"id\": 4}, {\"name\": \"BTS\", \"id\": 5}, {\"name\": \"MGZ\", \"id\": 6}, {\"name\": \"CVG\", \"id\": 7}, {\"name\": \"TIF\", \"id\": 8}], \"links\": [{\"weight\": 15932, \"source\": 0, \"target\": 6}, {\"weight\": 2556, \"source\": 0, \"target\": 7}, {\"weight\": 10210, \"source\": 0, \"target\": 5}, {\"weight\": 13755, \"source\": 0, \"target\": 8}, {\"weight\": 9305, \"source\": 0, \"target\": 3}, {\"weight\": 11651, \"source\": 0, \"target\": 1}, {\"weight\": 14668, \"source\": 0, \"target\": 2}, {\"weight\": 14891, \"source\": 0, \"target\": 4}, {\"weight\": 8227, \"source\": 1, \"target\": 6}, {\"weight\": 9095, \"source\": 1, \"target\": 7}, {\"weight\": 2171, \"source\": 1, \"target\": 5}, {\"weight\": 2749, \"source\": 1, \"target\": 8}, {\"weight\": 6092, \"source\": 1, \"target\": 3}, {\"weight\": 8228, \"source\": 1, \"target\": 2}, {\"weight\": 9261, \"source\": 1, \"target\": 4}, {\"weight\": 7226, \"source\": 2, \"target\": 6}, {\"weight\": 13226, \"source\": 2, \"target\": 7}, {\"weight\": 7430, \"source\": 2, \"target\": 5}, {\"weight\": 8925, \"source\": 2, \"target\": 8}, {\"weight\": 10313, \"source\": 2, \"target\": 3}, {\"weight\": 6494, \"source\": 2, \"target\": 4}, {\"weight\": 12384, \"source\": 3, \"target\": 6}, {\"weight\": 6755, \"source\": 3, \"target\": 7}, {\"weight\": 4561, \"source\": 3, \"target\": 5}, {\"weight\": 8076, \"source\": 3, \"target\": 8}, {\"weight\": 12740, \"source\": 3, \"target\": 4}, {\"weight\": 2276, \"source\": 4, \"target\": 6}, {\"weight\": 14069, \"source\": 4, \"target\": 7}, {\"weight\": 9518, \"source\": 4, \"target\": 5}, {\"weight\": 7570, \"source\": 4, \"target\": 8}, {\"weight\": 8969, \"source\": 5, \"target\": 6}, {\"weight\": 7660, \"source\": 5, \"target\": 7}, {\"weight\": 4247, \"source\": 5, \"target\": 8}, {\"weight\": 14801, \"source\": 6, \"target\": 7}, {\"weight\": 6465, \"source\": 6, \"target\": 8}, {\"weight\": 11203, \"source\": 7, \"target\": 8}]}",
"id": 943,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGU, KZI, MQJ, JEG, PXU, BTS, MGZ, CVG, TIF\n- Travel distances (in kilometers) between each pair of airports:\nAGU to MGZ: 15932\nAGU to CVG: 2556\nAGU to BTS: 10210\nAGU to TIF: 13755\nAGU to JEG: 9305\nAGU to KZI: 11651\nAGU to MQJ: 14668\nAGU to PXU: 14891\nKZI to MGZ: 8227\nKZI to CVG: 9095\nKZI to BTS: 2171\nKZI to TIF: 2749\nKZI to JEG: 6092\nKZI to MQJ: 8228\nKZI to PXU: 9261\nMQJ to MGZ: 7226\nMQJ to CVG: 13226\nMQJ to BTS: 7430\nMQJ to TIF: 8925\nMQJ to JEG: 10313\nMQJ to PXU: 6494\nJEG to MGZ: 12384\nJEG to CVG: 6755\nJEG to BTS: 4561\nJEG to TIF: 8076\nJEG to PXU: 12740\nPXU to MGZ: 2276\nPXU to CVG: 14069\nPXU to BTS: 9518\nPXU to TIF: 7570\nBTS to MGZ: 8969\nBTS to CVG: 7660\nBTS to TIF: 4247\nMGZ to CVG: 14801\nMGZ to TIF: 6465\nCVG to TIF: 11203\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ENH, PEK, HRL, YGR, IPT, TBN, CZU, BVB, PWE\n- Travel distances (in kilometers) between each pair of airports:\nENH to PEK: 1510\nENH to TBN: 12677\nENH to CZU: 16964\nENH to IPT: 12814\nENH to YGR: 13532\nENH to BVB: 18415\nENH to HRL: 13326\nENH to PWE: 12756\nPEK to TBN: 11167\nPEK to CZU: 15454\nPEK to IPT: 11304\nPEK to YGR: 12022\nPEK to BVB: 16905\nPEK to HRL: 11898\nPEK to PWE: 11397\nHRL to TBN: 1740\nHRL to CZU: 4590\nHRL to IPT: 2800\nHRL to YGR: 3985\nHRL to BVB: 6518\nHRL to PWE: 15605\nYGR to TBN: 2701\nYGR to CZU: 5974\nYGR to IPT: 1767\nYGR to BVB: 7378\nYGR to PWE: 13752\nIPT to TBN: 1704\nIPT to CZU: 4776\nIPT to BVB: 6165\nIPT to PWE: 13438\nTBN to CZU: 4875\nTBN to BVB: 6444\nTBN to PWE: 14310\nCZU to BVB: 4154\nCZU to PWE: 17092\nBVB to PWE: 17593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57601,
"style": "rule"
}
|
{
"exact_answer": 57601,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ENH\", \"id\": 0}, {\"name\": \"PEK\", \"id\": 1}, {\"name\": \"HRL\", \"id\": 2}, {\"name\": \"YGR\", \"id\": 3}, {\"name\": \"IPT\", \"id\": 4}, {\"name\": \"TBN\", \"id\": 5}, {\"name\": \"CZU\", \"id\": 6}, {\"name\": \"BVB\", \"id\": 7}, {\"name\": \"PWE\", \"id\": 8}], \"links\": [{\"weight\": 1510, \"source\": 0, \"target\": 1}, {\"weight\": 12677, \"source\": 0, \"target\": 5}, {\"weight\": 16964, \"source\": 0, \"target\": 6}, {\"weight\": 12814, \"source\": 0, \"target\": 4}, {\"weight\": 13532, \"source\": 0, \"target\": 3}, {\"weight\": 18415, \"source\": 0, \"target\": 7}, {\"weight\": 13326, \"source\": 0, \"target\": 2}, {\"weight\": 12756, \"source\": 0, \"target\": 8}, {\"weight\": 11167, \"source\": 1, \"target\": 5}, {\"weight\": 15454, \"source\": 1, \"target\": 6}, {\"weight\": 11304, \"source\": 1, \"target\": 4}, {\"weight\": 12022, \"source\": 1, \"target\": 3}, {\"weight\": 16905, \"source\": 1, \"target\": 7}, {\"weight\": 11898, \"source\": 1, \"target\": 2}, {\"weight\": 11397, \"source\": 1, \"target\": 8}, {\"weight\": 1740, \"source\": 2, \"target\": 5}, {\"weight\": 4590, \"source\": 2, \"target\": 6}, {\"weight\": 2800, \"source\": 2, \"target\": 4}, {\"weight\": 3985, \"source\": 2, \"target\": 3}, {\"weight\": 6518, \"source\": 2, \"target\": 7}, {\"weight\": 15605, \"source\": 2, \"target\": 8}, {\"weight\": 2701, \"source\": 3, \"target\": 5}, {\"weight\": 5974, \"source\": 3, \"target\": 6}, {\"weight\": 1767, \"source\": 3, \"target\": 4}, {\"weight\": 7378, \"source\": 3, \"target\": 7}, {\"weight\": 13752, \"source\": 3, \"target\": 8}, {\"weight\": 1704, \"source\": 4, \"target\": 5}, {\"weight\": 4776, \"source\": 4, \"target\": 6}, {\"weight\": 6165, \"source\": 4, \"target\": 7}, {\"weight\": 13438, \"source\": 4, \"target\": 8}, {\"weight\": 4875, \"source\": 5, \"target\": 6}, {\"weight\": 6444, \"source\": 5, \"target\": 7}, {\"weight\": 14310, \"source\": 5, \"target\": 8}, {\"weight\": 4154, \"source\": 6, \"target\": 7}, {\"weight\": 17092, \"source\": 6, \"target\": 8}, {\"weight\": 17593, \"source\": 7, \"target\": 8}]}",
"id": 944,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ENH, PEK, HRL, YGR, IPT, TBN, CZU, BVB, PWE\n- Travel distances (in kilometers) between each pair of airports:\nENH to PEK: 1510\nENH to TBN: 12677\nENH to CZU: 16964\nENH to IPT: 12814\nENH to YGR: 13532\nENH to BVB: 18415\nENH to HRL: 13326\nENH to PWE: 12756\nPEK to TBN: 11167\nPEK to CZU: 15454\nPEK to IPT: 11304\nPEK to YGR: 12022\nPEK to BVB: 16905\nPEK to HRL: 11898\nPEK to PWE: 11397\nHRL to TBN: 1740\nHRL to CZU: 4590\nHRL to IPT: 2800\nHRL to YGR: 3985\nHRL to BVB: 6518\nHRL to PWE: 15605\nYGR to TBN: 2701\nYGR to CZU: 5974\nYGR to IPT: 1767\nYGR to BVB: 7378\nYGR to PWE: 13752\nIPT to TBN: 1704\nIPT to CZU: 4776\nIPT to BVB: 6165\nIPT to PWE: 13438\nTBN to CZU: 4875\nTBN to BVB: 6444\nTBN to PWE: 14310\nCZU to BVB: 4154\nCZU to PWE: 17092\nBVB to PWE: 17593\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PMY, VRA, CTA, ORK, YGX, AXK, HJR, MBA, ABV\n- Travel distances (in kilometers) between each pair of airports:\nPMY to CTA: 12458\nPMY to MBA: 12423\nPMY to VRA: 8502\nPMY to ABV: 9592\nPMY to HJR: 17893\nPMY to ORK: 12143\nPMY to AXK: 13935\nPMY to YGX: 12085\nVRA to CTA: 9484\nVRA to MBA: 14560\nVRA to ABV: 11431\nVRA to HJR: 14864\nVRA to ORK: 7884\nVRA to AXK: 13367\nVRA to YGX: 4541\nCTA to MBA: 5867\nCTA to ABV: 4435\nCTA to HJR: 6970\nCTA to ORK: 2457\nCTA to AXK: 4229\nCTA to YGX: 9623\nORK to MBA: 7757\nORK to ABV: 5236\nORK to HJR: 8233\nORK to AXK: 6436\nORK to YGX: 8044\nYGX to MBA: 14993\nYGX to ABV: 11395\nYGX to HJR: 14864\nYGX to AXK: 13668\nAXK to MBA: 2678\nAXK to ABV: 4393\nAXK to HJR: 4722\nHJR to MBA: 6314\nHJR to ABV: 8519\nMBA to ABV: 4223\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51729,
"style": "rule"
}
|
{
"exact_answer": 51729,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PMY\", \"id\": 0}, {\"name\": \"VRA\", \"id\": 1}, {\"name\": \"CTA\", \"id\": 2}, {\"name\": \"ORK\", \"id\": 3}, {\"name\": \"YGX\", \"id\": 4}, {\"name\": \"AXK\", \"id\": 5}, {\"name\": \"HJR\", \"id\": 6}, {\"name\": \"MBA\", \"id\": 7}, {\"name\": \"ABV\", \"id\": 8}], \"links\": [{\"weight\": 12458, \"source\": 0, \"target\": 2}, {\"weight\": 12423, \"source\": 0, \"target\": 7}, {\"weight\": 8502, \"source\": 0, \"target\": 1}, {\"weight\": 9592, \"source\": 0, \"target\": 8}, {\"weight\": 17893, \"source\": 0, \"target\": 6}, {\"weight\": 12143, \"source\": 0, \"target\": 3}, {\"weight\": 13935, \"source\": 0, \"target\": 5}, {\"weight\": 12085, \"source\": 0, \"target\": 4}, {\"weight\": 9484, \"source\": 1, \"target\": 2}, {\"weight\": 14560, \"source\": 1, \"target\": 7}, {\"weight\": 11431, \"source\": 1, \"target\": 8}, {\"weight\": 14864, \"source\": 1, \"target\": 6}, {\"weight\": 7884, \"source\": 1, \"target\": 3}, {\"weight\": 13367, \"source\": 1, \"target\": 5}, {\"weight\": 4541, \"source\": 1, \"target\": 4}, {\"weight\": 5867, \"source\": 2, \"target\": 7}, {\"weight\": 4435, \"source\": 2, \"target\": 8}, {\"weight\": 6970, \"source\": 2, \"target\": 6}, {\"weight\": 2457, \"source\": 2, \"target\": 3}, {\"weight\": 4229, \"source\": 2, \"target\": 5}, {\"weight\": 9623, \"source\": 2, \"target\": 4}, {\"weight\": 7757, \"source\": 3, \"target\": 7}, {\"weight\": 5236, \"source\": 3, \"target\": 8}, {\"weight\": 8233, \"source\": 3, \"target\": 6}, {\"weight\": 6436, \"source\": 3, \"target\": 5}, {\"weight\": 8044, \"source\": 3, \"target\": 4}, {\"weight\": 14993, \"source\": 4, \"target\": 7}, {\"weight\": 11395, \"source\": 4, \"target\": 8}, {\"weight\": 14864, \"source\": 4, \"target\": 6}, {\"weight\": 13668, \"source\": 4, \"target\": 5}, {\"weight\": 2678, \"source\": 5, \"target\": 7}, {\"weight\": 4393, \"source\": 5, \"target\": 8}, {\"weight\": 4722, \"source\": 5, \"target\": 6}, {\"weight\": 6314, \"source\": 6, \"target\": 7}, {\"weight\": 8519, \"source\": 6, \"target\": 8}, {\"weight\": 4223, \"source\": 7, \"target\": 8}]}",
"id": 945,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PMY, VRA, CTA, ORK, YGX, AXK, HJR, MBA, ABV\n- Travel distances (in kilometers) between each pair of airports:\nPMY to CTA: 12458\nPMY to MBA: 12423\nPMY to VRA: 8502\nPMY to ABV: 9592\nPMY to HJR: 17893\nPMY to ORK: 12143\nPMY to AXK: 13935\nPMY to YGX: 12085\nVRA to CTA: 9484\nVRA to MBA: 14560\nVRA to ABV: 11431\nVRA to HJR: 14864\nVRA to ORK: 7884\nVRA to AXK: 13367\nVRA to YGX: 4541\nCTA to MBA: 5867\nCTA to ABV: 4435\nCTA to HJR: 6970\nCTA to ORK: 2457\nCTA to AXK: 4229\nCTA to YGX: 9623\nORK to MBA: 7757\nORK to ABV: 5236\nORK to HJR: 8233\nORK to AXK: 6436\nORK to YGX: 8044\nYGX to MBA: 14993\nYGX to ABV: 11395\nYGX to HJR: 14864\nYGX to AXK: 13668\nAXK to MBA: 2678\nAXK to ABV: 4393\nAXK to HJR: 4722\nHJR to MBA: 6314\nHJR to ABV: 8519\nMBA to ABV: 4223\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDL, ZSE, EDA, GAF, LEN, JDZ, ALC, RNL, DZA\n- Travel distances (in kilometers) between each pair of airports:\nSDL to ALC: 2958\nSDL to DZA: 8838\nSDL to ZSE: 10415\nSDL to JDZ: 8100\nSDL to LEN: 3224\nSDL to RNL: 15232\nSDL to EDA: 9503\nSDL to GAF: 3212\nZSE to ALC: 9758\nZSE to DZA: 1896\nZSE to JDZ: 8887\nZSE to LEN: 10103\nZSE to RNL: 12055\nZSE to EDA: 18496\nZSE to GAF: 9290\nEDA to ALC: 10249\nEDA to DZA: 17317\nEDA to JDZ: 11061\nEDA to LEN: 10692\nEDA to RNL: 12971\nEDA to GAF: 11061\nGAF to ALC: 1299\nGAF to DZA: 7503\nGAF to JDZ: 9762\nGAF to LEN: 1813\nGAF to RNL: 16679\nLEN to ALC: 1058\nLEN to DZA: 8463\nLEN to JDZ: 10478\nLEN to RNL: 17435\nJDZ to ALC: 10225\nJDZ to DZA: 10038\nJDZ to RNL: 7267\nALC to DZA: 8189\nALC to RNL: 17144\nRNL to DZA: 13443\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53608,
"style": "rule"
}
|
{
"exact_answer": 53608,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SDL\", \"id\": 0}, {\"name\": \"ZSE\", \"id\": 1}, {\"name\": \"EDA\", \"id\": 2}, {\"name\": \"GAF\", \"id\": 3}, {\"name\": \"LEN\", \"id\": 4}, {\"name\": \"JDZ\", \"id\": 5}, {\"name\": \"ALC\", \"id\": 6}, {\"name\": \"RNL\", \"id\": 7}, {\"name\": \"DZA\", \"id\": 8}], \"links\": [{\"weight\": 2958, \"source\": 0, \"target\": 6}, {\"weight\": 8838, \"source\": 0, \"target\": 8}, {\"weight\": 10415, \"source\": 0, \"target\": 1}, {\"weight\": 8100, \"source\": 0, \"target\": 5}, {\"weight\": 3224, \"source\": 0, \"target\": 4}, {\"weight\": 15232, \"source\": 0, \"target\": 7}, {\"weight\": 9503, \"source\": 0, \"target\": 2}, {\"weight\": 3212, \"source\": 0, \"target\": 3}, {\"weight\": 9758, \"source\": 1, \"target\": 6}, {\"weight\": 1896, \"source\": 1, \"target\": 8}, {\"weight\": 8887, \"source\": 1, \"target\": 5}, {\"weight\": 10103, \"source\": 1, \"target\": 4}, {\"weight\": 12055, \"source\": 1, \"target\": 7}, {\"weight\": 18496, \"source\": 1, \"target\": 2}, {\"weight\": 9290, \"source\": 1, \"target\": 3}, {\"weight\": 10249, \"source\": 2, \"target\": 6}, {\"weight\": 17317, \"source\": 2, \"target\": 8}, {\"weight\": 11061, \"source\": 2, \"target\": 5}, {\"weight\": 10692, \"source\": 2, \"target\": 4}, {\"weight\": 12971, \"source\": 2, \"target\": 7}, {\"weight\": 11061, \"source\": 2, \"target\": 3}, {\"weight\": 1299, \"source\": 3, \"target\": 6}, {\"weight\": 7503, \"source\": 3, \"target\": 8}, {\"weight\": 9762, \"source\": 3, \"target\": 5}, {\"weight\": 1813, \"source\": 3, \"target\": 4}, {\"weight\": 16679, \"source\": 3, \"target\": 7}, {\"weight\": 1058, \"source\": 4, \"target\": 6}, {\"weight\": 8463, \"source\": 4, \"target\": 8}, {\"weight\": 10478, \"source\": 4, \"target\": 5}, {\"weight\": 17435, \"source\": 4, \"target\": 7}, {\"weight\": 10225, \"source\": 5, \"target\": 6}, {\"weight\": 10038, \"source\": 5, \"target\": 8}, {\"weight\": 7267, \"source\": 5, \"target\": 7}, {\"weight\": 8189, \"source\": 6, \"target\": 8}, {\"weight\": 17144, \"source\": 6, \"target\": 7}, {\"weight\": 13443, \"source\": 7, \"target\": 8}]}",
"id": 946,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDL, ZSE, EDA, GAF, LEN, JDZ, ALC, RNL, DZA\n- Travel distances (in kilometers) between each pair of airports:\nSDL to ALC: 2958\nSDL to DZA: 8838\nSDL to ZSE: 10415\nSDL to JDZ: 8100\nSDL to LEN: 3224\nSDL to RNL: 15232\nSDL to EDA: 9503\nSDL to GAF: 3212\nZSE to ALC: 9758\nZSE to DZA: 1896\nZSE to JDZ: 8887\nZSE to LEN: 10103\nZSE to RNL: 12055\nZSE to EDA: 18496\nZSE to GAF: 9290\nEDA to ALC: 10249\nEDA to DZA: 17317\nEDA to JDZ: 11061\nEDA to LEN: 10692\nEDA to RNL: 12971\nEDA to GAF: 11061\nGAF to ALC: 1299\nGAF to DZA: 7503\nGAF to JDZ: 9762\nGAF to LEN: 1813\nGAF to RNL: 16679\nLEN to ALC: 1058\nLEN to DZA: 8463\nLEN to JDZ: 10478\nLEN to RNL: 17435\nJDZ to ALC: 10225\nJDZ to DZA: 10038\nJDZ to RNL: 7267\nALC to DZA: 8189\nALC to RNL: 17144\nRNL to DZA: 13443\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AOQ, LPD, NWI, TFI, DAY, HKB, TTA, SCL, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nAOQ to SCL: 14730\nAOQ to LPD: 11969\nAOQ to DAY: 7156\nAOQ to TTA: 6958\nAOQ to NWI: 4272\nAOQ to TFI: 17965\nAOQ to HKB: 10805\nAOQ to BJZ: 5776\nLPD to SCL: 5664\nLPD to DAY: 5460\nLPD to TTA: 8828\nLPD to NWI: 10109\nLPD to TFI: 19527\nLPD to HKB: 10590\nLPD to BJZ: 9773\nNWI to SCL: 12310\nNWI to DAY: 6330\nNWI to TTA: 3195\nNWI to TFI: 14809\nNWI to HKB: 10245\nNWI to BJZ: 2013\nTFI to SCL: 14269\nTFI to DAY: 15639\nTFI to TTA: 17198\nTFI to HKB: 13737\nTFI to BJZ: 16131\nDAY to SCL: 8269\nDAY to TTA: 7197\nDAY to HKB: 5489\nDAY to BJZ: 6966\nHKB to SCL: 12971\nHKB to TTA: 12367\nHKB to BJZ: 11749\nTTA to SCL: 9947\nTTA to BJZ: 1840\nSCL to BJZ: 11048\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63268,
"style": "rule"
}
|
{
"exact_answer": 63268,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AOQ\", \"id\": 0}, {\"name\": \"LPD\", \"id\": 1}, {\"name\": \"NWI\", \"id\": 2}, {\"name\": \"TFI\", \"id\": 3}, {\"name\": \"DAY\", \"id\": 4}, {\"name\": \"HKB\", \"id\": 5}, {\"name\": \"TTA\", \"id\": 6}, {\"name\": \"SCL\", \"id\": 7}, {\"name\": \"BJZ\", \"id\": 8}], \"links\": [{\"weight\": 14730, \"source\": 0, \"target\": 7}, {\"weight\": 11969, \"source\": 0, \"target\": 1}, {\"weight\": 7156, \"source\": 0, \"target\": 4}, {\"weight\": 6958, \"source\": 0, \"target\": 6}, {\"weight\": 4272, \"source\": 0, \"target\": 2}, {\"weight\": 17965, \"source\": 0, \"target\": 3}, {\"weight\": 10805, \"source\": 0, \"target\": 5}, {\"weight\": 5776, \"source\": 0, \"target\": 8}, {\"weight\": 5664, \"source\": 1, \"target\": 7}, {\"weight\": 5460, \"source\": 1, \"target\": 4}, {\"weight\": 8828, \"source\": 1, \"target\": 6}, {\"weight\": 10109, \"source\": 1, \"target\": 2}, {\"weight\": 19527, \"source\": 1, \"target\": 3}, {\"weight\": 10590, \"source\": 1, \"target\": 5}, {\"weight\": 9773, \"source\": 1, \"target\": 8}, {\"weight\": 12310, \"source\": 2, \"target\": 7}, {\"weight\": 6330, \"source\": 2, \"target\": 4}, {\"weight\": 3195, \"source\": 2, \"target\": 6}, {\"weight\": 14809, \"source\": 2, \"target\": 3}, {\"weight\": 10245, \"source\": 2, \"target\": 5}, {\"weight\": 2013, \"source\": 2, \"target\": 8}, {\"weight\": 14269, \"source\": 3, \"target\": 7}, {\"weight\": 15639, \"source\": 3, \"target\": 4}, {\"weight\": 17198, \"source\": 3, \"target\": 6}, {\"weight\": 13737, \"source\": 3, \"target\": 5}, {\"weight\": 16131, \"source\": 3, \"target\": 8}, {\"weight\": 8269, \"source\": 4, \"target\": 7}, {\"weight\": 7197, \"source\": 4, \"target\": 6}, {\"weight\": 5489, \"source\": 4, \"target\": 5}, {\"weight\": 6966, \"source\": 4, \"target\": 8}, {\"weight\": 12971, \"source\": 5, \"target\": 7}, {\"weight\": 12367, \"source\": 5, \"target\": 6}, {\"weight\": 11749, \"source\": 5, \"target\": 8}, {\"weight\": 9947, \"source\": 6, \"target\": 7}, {\"weight\": 1840, \"source\": 6, \"target\": 8}, {\"weight\": 11048, \"source\": 7, \"target\": 8}]}",
"id": 947,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AOQ, LPD, NWI, TFI, DAY, HKB, TTA, SCL, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nAOQ to SCL: 14730\nAOQ to LPD: 11969\nAOQ to DAY: 7156\nAOQ to TTA: 6958\nAOQ to NWI: 4272\nAOQ to TFI: 17965\nAOQ to HKB: 10805\nAOQ to BJZ: 5776\nLPD to SCL: 5664\nLPD to DAY: 5460\nLPD to TTA: 8828\nLPD to NWI: 10109\nLPD to TFI: 19527\nLPD to HKB: 10590\nLPD to BJZ: 9773\nNWI to SCL: 12310\nNWI to DAY: 6330\nNWI to TTA: 3195\nNWI to TFI: 14809\nNWI to HKB: 10245\nNWI to BJZ: 2013\nTFI to SCL: 14269\nTFI to DAY: 15639\nTFI to TTA: 17198\nTFI to HKB: 13737\nTFI to BJZ: 16131\nDAY to SCL: 8269\nDAY to TTA: 7197\nDAY to HKB: 5489\nDAY to BJZ: 6966\nHKB to SCL: 12971\nHKB to TTA: 12367\nHKB to BJZ: 11749\nTTA to SCL: 9947\nTTA to BJZ: 1840\nSCL to BJZ: 11048\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URJ, DJB, YGP, AUX, FRW, YXC, SPP, UNG, LCH\n- Travel distances (in kilometers) between each pair of airports:\nURJ to AUX: 12916\nURJ to YXC: 10350\nURJ to LCH: 11410\nURJ to YGP: 10051\nURJ to FRW: 10577\nURJ to UNG: 11568\nURJ to SPP: 9921\nURJ to DJB: 8015\nDJB to AUX: 18636\nDJB to YXC: 14096\nDJB to LCH: 16852\nDJB to YGP: 17038\nDJB to FRW: 9940\nDJB to UNG: 5851\nDJB to SPP: 11999\nYGP to AUX: 7358\nYGP to YXC: 4006\nYGP to LCH: 3545\nYGP to FRW: 14569\nYGP to UNG: 17419\nYGP to SPP: 12404\nAUX to YXC: 9363\nAUX to LCH: 6954\nAUX to FRW: 9812\nAUX to UNG: 19215\nAUX to SPP: 8880\nFRW to YXC: 16703\nFRW to LCH: 15450\nFRW to UNG: 13892\nFRW to SPP: 3258\nYXC to LCH: 3133\nYXC to UNG: 13868\nYXC to SPP: 14786\nSPP to LCH: 13789\nSPP to UNG: 16099\nUNG to LCH: 15448\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63641,
"style": "rule"
}
|
{
"exact_answer": 63641,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"URJ\", \"id\": 0}, {\"name\": \"DJB\", \"id\": 1}, {\"name\": \"YGP\", \"id\": 2}, {\"name\": \"AUX\", \"id\": 3}, {\"name\": \"FRW\", \"id\": 4}, {\"name\": \"YXC\", \"id\": 5}, {\"name\": \"SPP\", \"id\": 6}, {\"name\": \"UNG\", \"id\": 7}, {\"name\": \"LCH\", \"id\": 8}], \"links\": [{\"weight\": 12916, \"source\": 0, \"target\": 3}, {\"weight\": 10350, \"source\": 0, \"target\": 5}, {\"weight\": 11410, \"source\": 0, \"target\": 8}, {\"weight\": 10051, \"source\": 0, \"target\": 2}, {\"weight\": 10577, \"source\": 0, \"target\": 4}, {\"weight\": 11568, \"source\": 0, \"target\": 7}, {\"weight\": 9921, \"source\": 0, \"target\": 6}, {\"weight\": 8015, \"source\": 0, \"target\": 1}, {\"weight\": 18636, \"source\": 1, \"target\": 3}, {\"weight\": 14096, \"source\": 1, \"target\": 5}, {\"weight\": 16852, \"source\": 1, \"target\": 8}, {\"weight\": 17038, \"source\": 1, \"target\": 2}, {\"weight\": 9940, \"source\": 1, \"target\": 4}, {\"weight\": 5851, \"source\": 1, \"target\": 7}, {\"weight\": 11999, \"source\": 1, \"target\": 6}, {\"weight\": 7358, \"source\": 2, \"target\": 3}, {\"weight\": 4006, \"source\": 2, \"target\": 5}, {\"weight\": 3545, \"source\": 2, \"target\": 8}, {\"weight\": 14569, \"source\": 2, \"target\": 4}, {\"weight\": 17419, \"source\": 2, \"target\": 7}, {\"weight\": 12404, \"source\": 2, \"target\": 6}, {\"weight\": 9363, \"source\": 3, \"target\": 5}, {\"weight\": 6954, \"source\": 3, \"target\": 8}, {\"weight\": 9812, \"source\": 3, \"target\": 4}, {\"weight\": 19215, \"source\": 3, \"target\": 7}, {\"weight\": 8880, \"source\": 3, \"target\": 6}, {\"weight\": 16703, \"source\": 4, \"target\": 5}, {\"weight\": 15450, \"source\": 4, \"target\": 8}, {\"weight\": 13892, \"source\": 4, \"target\": 7}, {\"weight\": 3258, \"source\": 4, \"target\": 6}, {\"weight\": 3133, \"source\": 5, \"target\": 8}, {\"weight\": 13868, \"source\": 5, \"target\": 7}, {\"weight\": 14786, \"source\": 5, \"target\": 6}, {\"weight\": 13789, \"source\": 6, \"target\": 8}, {\"weight\": 16099, \"source\": 6, \"target\": 7}, {\"weight\": 15448, \"source\": 7, \"target\": 8}]}",
"id": 948,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URJ, DJB, YGP, AUX, FRW, YXC, SPP, UNG, LCH\n- Travel distances (in kilometers) between each pair of airports:\nURJ to AUX: 12916\nURJ to YXC: 10350\nURJ to LCH: 11410\nURJ to YGP: 10051\nURJ to FRW: 10577\nURJ to UNG: 11568\nURJ to SPP: 9921\nURJ to DJB: 8015\nDJB to AUX: 18636\nDJB to YXC: 14096\nDJB to LCH: 16852\nDJB to YGP: 17038\nDJB to FRW: 9940\nDJB to UNG: 5851\nDJB to SPP: 11999\nYGP to AUX: 7358\nYGP to YXC: 4006\nYGP to LCH: 3545\nYGP to FRW: 14569\nYGP to UNG: 17419\nYGP to SPP: 12404\nAUX to YXC: 9363\nAUX to LCH: 6954\nAUX to FRW: 9812\nAUX to UNG: 19215\nAUX to SPP: 8880\nFRW to YXC: 16703\nFRW to LCH: 15450\nFRW to UNG: 13892\nFRW to SPP: 3258\nYXC to LCH: 3133\nYXC to UNG: 13868\nYXC to SPP: 14786\nSPP to LCH: 13789\nSPP to UNG: 16099\nUNG to LCH: 15448\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: STN, KWJ, IAM, LDE, SOC, APL, PPG, KAL, PKZ\n- Travel distances (in kilometers) between each pair of airports:\nSTN to LDE: 967\nSTN to KAL: 10683\nSTN to IAM: 2848\nSTN to SOC: 12063\nSTN to PPG: 16170\nSTN to KWJ: 9289\nSTN to APL: 8511\nSTN to PKZ: 10129\nKWJ to KAL: 11981\nKWJ to LDE: 10048\nKWJ to IAM: 11286\nKWJ to SOC: 5409\nKWJ to PPG: 11809\nKWJ to APL: 11833\nKWJ to PKZ: 3587\nIAM to KAL: 13459\nIAM to LDE: 2288\nIAM to SOC: 12932\nIAM to PPG: 18924\nIAM to APL: 8947\nIAM to PKZ: 11148\nLDE to KAL: 11650\nLDE to SOC: 12326\nLDE to PPG: 17137\nLDE to APL: 8479\nLDE to PKZ: 10473\nSOC to KAL: 16736\nSOC to PPG: 15766\nSOC to APL: 10453\nSOC to PKZ: 2819\nAPL to KAL: 19054\nAPL to PPG: 22985\nAPL to PKZ: 9394\nPPG to KAL: 9620\nPPG to PKZ: 14820\nKAL to PKZ: 14959\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61173,
"style": "rule"
}
|
{
"exact_answer": 61173,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"STN\", \"id\": 0}, {\"name\": \"KWJ\", \"id\": 1}, {\"name\": \"IAM\", \"id\": 2}, {\"name\": \"LDE\", \"id\": 3}, {\"name\": \"SOC\", \"id\": 4}, {\"name\": \"APL\", \"id\": 5}, {\"name\": \"PPG\", \"id\": 6}, {\"name\": \"KAL\", \"id\": 7}, {\"name\": \"PKZ\", \"id\": 8}], \"links\": [{\"weight\": 967, \"source\": 0, \"target\": 3}, {\"weight\": 10683, \"source\": 0, \"target\": 7}, {\"weight\": 2848, \"source\": 0, \"target\": 2}, {\"weight\": 12063, \"source\": 0, \"target\": 4}, {\"weight\": 16170, \"source\": 0, \"target\": 6}, {\"weight\": 9289, \"source\": 0, \"target\": 1}, {\"weight\": 8511, \"source\": 0, \"target\": 5}, {\"weight\": 10129, \"source\": 0, \"target\": 8}, {\"weight\": 11981, \"source\": 1, \"target\": 7}, {\"weight\": 10048, \"source\": 1, \"target\": 3}, {\"weight\": 11286, \"source\": 1, \"target\": 2}, {\"weight\": 5409, \"source\": 1, \"target\": 4}, {\"weight\": 11809, \"source\": 1, \"target\": 6}, {\"weight\": 11833, \"source\": 1, \"target\": 5}, {\"weight\": 3587, \"source\": 1, \"target\": 8}, {\"weight\": 13459, \"source\": 2, \"target\": 7}, {\"weight\": 2288, \"source\": 2, \"target\": 3}, {\"weight\": 12932, \"source\": 2, \"target\": 4}, {\"weight\": 18924, \"source\": 2, \"target\": 6}, {\"weight\": 8947, \"source\": 2, \"target\": 5}, {\"weight\": 11148, \"source\": 2, \"target\": 8}, {\"weight\": 11650, \"source\": 3, \"target\": 7}, {\"weight\": 12326, \"source\": 3, \"target\": 4}, {\"weight\": 17137, \"source\": 3, \"target\": 6}, {\"weight\": 8479, \"source\": 3, \"target\": 5}, {\"weight\": 10473, \"source\": 3, \"target\": 8}, {\"weight\": 16736, \"source\": 4, \"target\": 7}, {\"weight\": 15766, \"source\": 4, \"target\": 6}, {\"weight\": 10453, \"source\": 4, \"target\": 5}, {\"weight\": 2819, \"source\": 4, \"target\": 8}, {\"weight\": 19054, \"source\": 5, \"target\": 7}, {\"weight\": 22985, \"source\": 5, \"target\": 6}, {\"weight\": 9394, \"source\": 5, \"target\": 8}, {\"weight\": 9620, \"source\": 6, \"target\": 7}, {\"weight\": 14820, \"source\": 6, \"target\": 8}, {\"weight\": 14959, \"source\": 7, \"target\": 8}]}",
"id": 949,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: STN, KWJ, IAM, LDE, SOC, APL, PPG, KAL, PKZ\n- Travel distances (in kilometers) between each pair of airports:\nSTN to LDE: 967\nSTN to KAL: 10683\nSTN to IAM: 2848\nSTN to SOC: 12063\nSTN to PPG: 16170\nSTN to KWJ: 9289\nSTN to APL: 8511\nSTN to PKZ: 10129\nKWJ to KAL: 11981\nKWJ to LDE: 10048\nKWJ to IAM: 11286\nKWJ to SOC: 5409\nKWJ to PPG: 11809\nKWJ to APL: 11833\nKWJ to PKZ: 3587\nIAM to KAL: 13459\nIAM to LDE: 2288\nIAM to SOC: 12932\nIAM to PPG: 18924\nIAM to APL: 8947\nIAM to PKZ: 11148\nLDE to KAL: 11650\nLDE to SOC: 12326\nLDE to PPG: 17137\nLDE to APL: 8479\nLDE to PKZ: 10473\nSOC to KAL: 16736\nSOC to PPG: 15766\nSOC to APL: 10453\nSOC to PKZ: 2819\nAPL to KAL: 19054\nAPL to PPG: 22985\nAPL to PKZ: 9394\nPPG to KAL: 9620\nPPG to PKZ: 14820\nKAL to PKZ: 14959\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAB, MOC, SFG, AQP, RHD, OSS, BDJ, AUY, QSF\n- Travel distances (in kilometers) between each pair of airports:\nYAB to SFG: 6575\nYAB to AQP: 10465\nYAB to MOC: 11596\nYAB to QSF: 9198\nYAB to RHD: 13746\nYAB to OSS: 12985\nYAB to BDJ: 18152\nYAB to AUY: 16105\nMOC to SFG: 5117\nMOC to AQP: 3574\nMOC to QSF: 8689\nMOC to RHD: 3511\nMOC to OSS: 14408\nMOC to BDJ: 18589\nMOC to AUY: 15646\nSFG to AQP: 4630\nSFG to QSF: 8110\nSFG to RHD: 7673\nSFG to OSS: 12206\nSFG to BDJ: 18786\nSFG to AUY: 15971\nAQP to QSF: 10749\nAQP to RHD: 3978\nAQP to OSS: 16194\nAQP to BDJ: 19039\nAQP to AUY: 14498\nRHD to QSF: 11480\nRHD to OSS: 16913\nRHD to BDJ: 18901\nRHD to AUY: 14360\nOSS to QSF: 6114\nOSS to BDJ: 7438\nOSS to AUY: 12703\nBDJ to QSF: 12576\nBDJ to AUY: 7321\nAUY to QSF: 18515\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62721,
"style": "rule"
}
|
{
"exact_answer": 62721,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAB\", \"id\": 0}, {\"name\": \"MOC\", \"id\": 1}, {\"name\": \"SFG\", \"id\": 2}, {\"name\": \"AQP\", \"id\": 3}, {\"name\": \"RHD\", \"id\": 4}, {\"name\": \"OSS\", \"id\": 5}, {\"name\": \"BDJ\", \"id\": 6}, {\"name\": \"AUY\", \"id\": 7}, {\"name\": \"QSF\", \"id\": 8}], \"links\": [{\"weight\": 6575, \"source\": 0, \"target\": 2}, {\"weight\": 10465, \"source\": 0, \"target\": 3}, {\"weight\": 11596, \"source\": 0, \"target\": 1}, {\"weight\": 9198, \"source\": 0, \"target\": 8}, {\"weight\": 13746, \"source\": 0, \"target\": 4}, {\"weight\": 12985, \"source\": 0, \"target\": 5}, {\"weight\": 18152, \"source\": 0, \"target\": 6}, {\"weight\": 16105, \"source\": 0, \"target\": 7}, {\"weight\": 5117, \"source\": 1, \"target\": 2}, {\"weight\": 3574, \"source\": 1, \"target\": 3}, {\"weight\": 8689, \"source\": 1, \"target\": 8}, {\"weight\": 3511, \"source\": 1, \"target\": 4}, {\"weight\": 14408, \"source\": 1, \"target\": 5}, {\"weight\": 18589, \"source\": 1, \"target\": 6}, {\"weight\": 15646, \"source\": 1, \"target\": 7}, {\"weight\": 4630, \"source\": 2, \"target\": 3}, {\"weight\": 8110, \"source\": 2, \"target\": 8}, {\"weight\": 7673, \"source\": 2, \"target\": 4}, {\"weight\": 12206, \"source\": 2, \"target\": 5}, {\"weight\": 18786, \"source\": 2, \"target\": 6}, {\"weight\": 15971, \"source\": 2, \"target\": 7}, {\"weight\": 10749, \"source\": 3, \"target\": 8}, {\"weight\": 3978, \"source\": 3, \"target\": 4}, {\"weight\": 16194, \"source\": 3, \"target\": 5}, {\"weight\": 19039, \"source\": 3, \"target\": 6}, {\"weight\": 14498, \"source\": 3, \"target\": 7}, {\"weight\": 11480, \"source\": 4, \"target\": 8}, {\"weight\": 16913, \"source\": 4, \"target\": 5}, {\"weight\": 18901, \"source\": 4, \"target\": 6}, {\"weight\": 14360, \"source\": 4, \"target\": 7}, {\"weight\": 6114, \"source\": 5, \"target\": 8}, {\"weight\": 7438, \"source\": 5, \"target\": 6}, {\"weight\": 12703, \"source\": 5, \"target\": 7}, {\"weight\": 12576, \"source\": 6, \"target\": 8}, {\"weight\": 7321, \"source\": 6, \"target\": 7}, {\"weight\": 18515, \"source\": 7, \"target\": 8}]}",
"id": 950,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAB, MOC, SFG, AQP, RHD, OSS, BDJ, AUY, QSF\n- Travel distances (in kilometers) between each pair of airports:\nYAB to SFG: 6575\nYAB to AQP: 10465\nYAB to MOC: 11596\nYAB to QSF: 9198\nYAB to RHD: 13746\nYAB to OSS: 12985\nYAB to BDJ: 18152\nYAB to AUY: 16105\nMOC to SFG: 5117\nMOC to AQP: 3574\nMOC to QSF: 8689\nMOC to RHD: 3511\nMOC to OSS: 14408\nMOC to BDJ: 18589\nMOC to AUY: 15646\nSFG to AQP: 4630\nSFG to QSF: 8110\nSFG to RHD: 7673\nSFG to OSS: 12206\nSFG to BDJ: 18786\nSFG to AUY: 15971\nAQP to QSF: 10749\nAQP to RHD: 3978\nAQP to OSS: 16194\nAQP to BDJ: 19039\nAQP to AUY: 14498\nRHD to QSF: 11480\nRHD to OSS: 16913\nRHD to BDJ: 18901\nRHD to AUY: 14360\nOSS to QSF: 6114\nOSS to BDJ: 7438\nOSS to AUY: 12703\nBDJ to QSF: 12576\nBDJ to AUY: 7321\nAUY to QSF: 18515\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ASF, CZH, CFK, COO, SCZ, AAE, LBE, RHO\n- Travel distances (in kilometers) between each pair of airports:\nTVU to ASF: 15053\nTVU to COO: 19057\nTVU to RHO: 17310\nTVU to CZH: 12823\nTVU to AAE: 18232\nTVU to CFK: 18553\nTVU to SCZ: 3046\nTVU to LBE: 13566\nASF to COO: 6409\nASF to RHO: 2584\nASF to CZH: 11823\nASF to AAE: 4078\nASF to CFK: 4482\nASF to SCZ: 13671\nASF to LBE: 10411\nCZH to COO: 11454\nCZH to RHO: 11175\nCZH to AAE: 9552\nCZH to CFK: 10120\nCZH to SCZ: 15253\nCZH to LBE: 2862\nCFK to COO: 5012\nCFK to RHO: 2960\nCFK to AAE: 1636\nCFK to SCZ: 17710\nCFK to LBE: 8973\nCOO to RHO: 5427\nCOO to AAE: 3784\nCOO to SCZ: 18648\nCOO to LBE: 10126\nSCZ to RHO: 16026\nSCZ to AAE: 16991\nSCZ to LBE: 15996\nAAE to RHO: 2697\nAAE to LBE: 8527\nLBE to RHO: 9949\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53492,
"style": "rule"
}
|
{
"exact_answer": 53492,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TVU\", \"id\": 0}, {\"name\": \"ASF\", \"id\": 1}, {\"name\": \"CZH\", \"id\": 2}, {\"name\": \"CFK\", \"id\": 3}, {\"name\": \"COO\", \"id\": 4}, {\"name\": \"SCZ\", \"id\": 5}, {\"name\": \"AAE\", \"id\": 6}, {\"name\": \"LBE\", \"id\": 7}, {\"name\": \"RHO\", \"id\": 8}], \"links\": [{\"weight\": 15053, \"source\": 0, \"target\": 1}, {\"weight\": 19057, \"source\": 0, \"target\": 4}, {\"weight\": 17310, \"source\": 0, \"target\": 8}, {\"weight\": 12823, \"source\": 0, \"target\": 2}, {\"weight\": 18232, \"source\": 0, \"target\": 6}, {\"weight\": 18553, \"source\": 0, \"target\": 3}, {\"weight\": 3046, \"source\": 0, \"target\": 5}, {\"weight\": 13566, \"source\": 0, \"target\": 7}, {\"weight\": 6409, \"source\": 1, \"target\": 4}, {\"weight\": 2584, \"source\": 1, \"target\": 8}, {\"weight\": 11823, \"source\": 1, \"target\": 2}, {\"weight\": 4078, \"source\": 1, \"target\": 6}, {\"weight\": 4482, \"source\": 1, \"target\": 3}, {\"weight\": 13671, \"source\": 1, \"target\": 5}, {\"weight\": 10411, \"source\": 1, \"target\": 7}, {\"weight\": 11454, \"source\": 2, \"target\": 4}, {\"weight\": 11175, \"source\": 2, \"target\": 8}, {\"weight\": 9552, \"source\": 2, \"target\": 6}, {\"weight\": 10120, \"source\": 2, \"target\": 3}, {\"weight\": 15253, \"source\": 2, \"target\": 5}, {\"weight\": 2862, \"source\": 2, \"target\": 7}, {\"weight\": 5012, \"source\": 3, \"target\": 4}, {\"weight\": 2960, \"source\": 3, \"target\": 8}, {\"weight\": 1636, \"source\": 3, \"target\": 6}, {\"weight\": 17710, \"source\": 3, \"target\": 5}, {\"weight\": 8973, \"source\": 3, \"target\": 7}, {\"weight\": 5427, \"source\": 4, \"target\": 8}, {\"weight\": 3784, \"source\": 4, \"target\": 6}, {\"weight\": 18648, \"source\": 4, \"target\": 5}, {\"weight\": 10126, \"source\": 4, \"target\": 7}, {\"weight\": 16026, \"source\": 5, \"target\": 8}, {\"weight\": 16991, \"source\": 5, \"target\": 6}, {\"weight\": 15996, \"source\": 5, \"target\": 7}, {\"weight\": 2697, \"source\": 6, \"target\": 8}, {\"weight\": 8527, \"source\": 6, \"target\": 7}, {\"weight\": 9949, \"source\": 7, \"target\": 8}]}",
"id": 951,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ASF, CZH, CFK, COO, SCZ, AAE, LBE, RHO\n- Travel distances (in kilometers) between each pair of airports:\nTVU to ASF: 15053\nTVU to COO: 19057\nTVU to RHO: 17310\nTVU to CZH: 12823\nTVU to AAE: 18232\nTVU to CFK: 18553\nTVU to SCZ: 3046\nTVU to LBE: 13566\nASF to COO: 6409\nASF to RHO: 2584\nASF to CZH: 11823\nASF to AAE: 4078\nASF to CFK: 4482\nASF to SCZ: 13671\nASF to LBE: 10411\nCZH to COO: 11454\nCZH to RHO: 11175\nCZH to AAE: 9552\nCZH to CFK: 10120\nCZH to SCZ: 15253\nCZH to LBE: 2862\nCFK to COO: 5012\nCFK to RHO: 2960\nCFK to AAE: 1636\nCFK to SCZ: 17710\nCFK to LBE: 8973\nCOO to RHO: 5427\nCOO to AAE: 3784\nCOO to SCZ: 18648\nCOO to LBE: 10126\nSCZ to RHO: 16026\nSCZ to AAE: 16991\nSCZ to LBE: 15996\nAAE to RHO: 2697\nAAE to LBE: 8527\nLBE to RHO: 9949\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, LPM, LEA, TGH, TPA, GDX, GGW, YIN, SCO\n- Travel distances (in kilometers) between each pair of airports:\nHSV to TPA: 896\nHSV to GGW: 2719\nHSV to YIN: 12922\nHSV to SCO: 10359\nHSV to GDX: 13986\nHSV to LPM: 12955\nHSV to TGH: 12900\nHSV to LEA: 19032\nLPM to TPA: 13469\nLPM to GGW: 11802\nLPM to YIN: 11730\nLPM to SCO: 14094\nLPM to GDX: 10743\nLPM to TGH: 241\nLPM to LEA: 6742\nLEA to TPA: 19557\nLEA to GGW: 17835\nLEA to YIN: 10702\nLEA to SCO: 12283\nLEA to GDX: 11950\nLEA to TGH: 6687\nTGH to TPA: 13414\nTGH to GGW: 11747\nTGH to YIN: 11675\nTGH to SCO: 14039\nTGH to GDX: 10688\nTPA to GGW: 3458\nTPA to YIN: 13319\nTPA to SCO: 10752\nTPA to GDX: 14515\nGDX to GGW: 12115\nGDX to YIN: 5698\nGDX to SCO: 7122\nGGW to YIN: 12970\nGGW to SCO: 11714\nYIN to SCO: 3414\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54159,
"style": "rule"
}
|
{
"exact_answer": 54159,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HSV\", \"id\": 0}, {\"name\": \"LPM\", \"id\": 1}, {\"name\": \"LEA\", \"id\": 2}, {\"name\": \"TGH\", \"id\": 3}, {\"name\": \"TPA\", \"id\": 4}, {\"name\": \"GDX\", \"id\": 5}, {\"name\": \"GGW\", \"id\": 6}, {\"name\": \"YIN\", \"id\": 7}, {\"name\": \"SCO\", \"id\": 8}], \"links\": [{\"weight\": 896, \"source\": 0, \"target\": 4}, {\"weight\": 2719, \"source\": 0, \"target\": 6}, {\"weight\": 12922, \"source\": 0, \"target\": 7}, {\"weight\": 10359, \"source\": 0, \"target\": 8}, {\"weight\": 13986, \"source\": 0, \"target\": 5}, {\"weight\": 12955, \"source\": 0, \"target\": 1}, {\"weight\": 12900, \"source\": 0, \"target\": 3}, {\"weight\": 19032, \"source\": 0, \"target\": 2}, {\"weight\": 13469, \"source\": 1, \"target\": 4}, {\"weight\": 11802, \"source\": 1, \"target\": 6}, {\"weight\": 11730, \"source\": 1, \"target\": 7}, {\"weight\": 14094, \"source\": 1, \"target\": 8}, {\"weight\": 10743, \"source\": 1, \"target\": 5}, {\"weight\": 241, \"source\": 1, \"target\": 3}, {\"weight\": 6742, \"source\": 1, \"target\": 2}, {\"weight\": 19557, \"source\": 2, \"target\": 4}, {\"weight\": 17835, \"source\": 2, \"target\": 6}, {\"weight\": 10702, \"source\": 2, \"target\": 7}, {\"weight\": 12283, \"source\": 2, \"target\": 8}, {\"weight\": 11950, \"source\": 2, \"target\": 5}, {\"weight\": 6687, \"source\": 2, \"target\": 3}, {\"weight\": 13414, \"source\": 3, \"target\": 4}, {\"weight\": 11747, \"source\": 3, \"target\": 6}, {\"weight\": 11675, \"source\": 3, \"target\": 7}, {\"weight\": 14039, \"source\": 3, \"target\": 8}, {\"weight\": 10688, \"source\": 3, \"target\": 5}, {\"weight\": 3458, \"source\": 4, \"target\": 6}, {\"weight\": 13319, \"source\": 4, \"target\": 7}, {\"weight\": 10752, \"source\": 4, \"target\": 8}, {\"weight\": 14515, \"source\": 4, \"target\": 5}, {\"weight\": 12115, \"source\": 5, \"target\": 6}, {\"weight\": 5698, \"source\": 5, \"target\": 7}, {\"weight\": 7122, \"source\": 5, \"target\": 8}, {\"weight\": 12970, \"source\": 6, \"target\": 7}, {\"weight\": 11714, \"source\": 6, \"target\": 8}, {\"weight\": 3414, \"source\": 7, \"target\": 8}]}",
"id": 952,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, LPM, LEA, TGH, TPA, GDX, GGW, YIN, SCO\n- Travel distances (in kilometers) between each pair of airports:\nHSV to TPA: 896\nHSV to GGW: 2719\nHSV to YIN: 12922\nHSV to SCO: 10359\nHSV to GDX: 13986\nHSV to LPM: 12955\nHSV to TGH: 12900\nHSV to LEA: 19032\nLPM to TPA: 13469\nLPM to GGW: 11802\nLPM to YIN: 11730\nLPM to SCO: 14094\nLPM to GDX: 10743\nLPM to TGH: 241\nLPM to LEA: 6742\nLEA to TPA: 19557\nLEA to GGW: 17835\nLEA to YIN: 10702\nLEA to SCO: 12283\nLEA to GDX: 11950\nLEA to TGH: 6687\nTGH to TPA: 13414\nTGH to GGW: 11747\nTGH to YIN: 11675\nTGH to SCO: 14039\nTGH to GDX: 10688\nTPA to GGW: 3458\nTPA to YIN: 13319\nTPA to SCO: 10752\nTPA to GDX: 14515\nGDX to GGW: 12115\nGDX to YIN: 5698\nGDX to SCO: 7122\nGGW to YIN: 12970\nGGW to SCO: 11714\nYIN to SCO: 3414\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YDF, STT, NUI, FAO, TLE, UTS, SDY, ALS, YQC\n- Travel distances (in kilometers) between each pair of airports:\nYDF to YQC: 1869\nYDF to FAO: 5813\nYDF to NUI: 8033\nYDF to SDY: 4482\nYDF to STT: 3985\nYDF to ALS: 4202\nYDF to TLE: 13835\nYDF to UTS: 7771\nSTT to YQC: 4935\nSTT to FAO: 7567\nSTT to NUI: 9075\nSTT to SDY: 5534\nSTT to ALS: 4788\nSTT to TLE: 15349\nSTT to UTS: 10463\nNUI to YQC: 7633\nNUI to FAO: 12121\nNUI to SDY: 4611\nNUI to ALS: 5087\nNUI to TLE: 20549\nNUI to UTS: 13266\nFAO to YQC: 7251\nFAO to SDY: 8570\nFAO to ALS: 8331\nFAO to TLE: 10179\nFAO to UTS: 5264\nTLE to YQC: 15649\nTLE to SDY: 17753\nTLE to ALS: 17520\nTLE to UTS: 10610\nUTS to YQC: 9585\nUTS to SDY: 11150\nUTS to ALS: 10316\nSDY to YQC: 4789\nSDY to ALS: 1413\nALS to YQC: 4112\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56441,
"style": "rule"
}
|
{
"exact_answer": 56441,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YDF\", \"id\": 0}, {\"name\": \"STT\", \"id\": 1}, {\"name\": \"NUI\", \"id\": 2}, {\"name\": \"FAO\", \"id\": 3}, {\"name\": \"TLE\", \"id\": 4}, {\"name\": \"UTS\", \"id\": 5}, {\"name\": \"SDY\", \"id\": 6}, {\"name\": \"ALS\", \"id\": 7}, {\"name\": \"YQC\", \"id\": 8}], \"links\": [{\"weight\": 1869, \"source\": 0, \"target\": 8}, {\"weight\": 5813, \"source\": 0, \"target\": 3}, {\"weight\": 8033, \"source\": 0, \"target\": 2}, {\"weight\": 4482, \"source\": 0, \"target\": 6}, {\"weight\": 3985, \"source\": 0, \"target\": 1}, {\"weight\": 4202, \"source\": 0, \"target\": 7}, {\"weight\": 13835, \"source\": 0, \"target\": 4}, {\"weight\": 7771, \"source\": 0, \"target\": 5}, {\"weight\": 4935, \"source\": 1, \"target\": 8}, {\"weight\": 7567, \"source\": 1, \"target\": 3}, {\"weight\": 9075, \"source\": 1, \"target\": 2}, {\"weight\": 5534, \"source\": 1, \"target\": 6}, {\"weight\": 4788, \"source\": 1, \"target\": 7}, {\"weight\": 15349, \"source\": 1, \"target\": 4}, {\"weight\": 10463, \"source\": 1, \"target\": 5}, {\"weight\": 7633, \"source\": 2, \"target\": 8}, {\"weight\": 12121, \"source\": 2, \"target\": 3}, {\"weight\": 4611, \"source\": 2, \"target\": 6}, {\"weight\": 5087, \"source\": 2, \"target\": 7}, {\"weight\": 20549, \"source\": 2, \"target\": 4}, {\"weight\": 13266, \"source\": 2, \"target\": 5}, {\"weight\": 7251, \"source\": 3, \"target\": 8}, {\"weight\": 8570, \"source\": 3, \"target\": 6}, {\"weight\": 8331, \"source\": 3, \"target\": 7}, {\"weight\": 10179, \"source\": 3, \"target\": 4}, {\"weight\": 5264, \"source\": 3, \"target\": 5}, {\"weight\": 15649, \"source\": 4, \"target\": 8}, {\"weight\": 17753, \"source\": 4, \"target\": 6}, {\"weight\": 17520, \"source\": 4, \"target\": 7}, {\"weight\": 10610, \"source\": 4, \"target\": 5}, {\"weight\": 9585, \"source\": 5, \"target\": 8}, {\"weight\": 11150, \"source\": 5, \"target\": 6}, {\"weight\": 10316, \"source\": 5, \"target\": 7}, {\"weight\": 4789, \"source\": 6, \"target\": 8}, {\"weight\": 1413, \"source\": 6, \"target\": 7}, {\"weight\": 4112, \"source\": 7, \"target\": 8}]}",
"id": 953,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YDF, STT, NUI, FAO, TLE, UTS, SDY, ALS, YQC\n- Travel distances (in kilometers) between each pair of airports:\nYDF to YQC: 1869\nYDF to FAO: 5813\nYDF to NUI: 8033\nYDF to SDY: 4482\nYDF to STT: 3985\nYDF to ALS: 4202\nYDF to TLE: 13835\nYDF to UTS: 7771\nSTT to YQC: 4935\nSTT to FAO: 7567\nSTT to NUI: 9075\nSTT to SDY: 5534\nSTT to ALS: 4788\nSTT to TLE: 15349\nSTT to UTS: 10463\nNUI to YQC: 7633\nNUI to FAO: 12121\nNUI to SDY: 4611\nNUI to ALS: 5087\nNUI to TLE: 20549\nNUI to UTS: 13266\nFAO to YQC: 7251\nFAO to SDY: 8570\nFAO to ALS: 8331\nFAO to TLE: 10179\nFAO to UTS: 5264\nTLE to YQC: 15649\nTLE to SDY: 17753\nTLE to ALS: 17520\nTLE to UTS: 10610\nUTS to YQC: 9585\nUTS to SDY: 11150\nUTS to ALS: 10316\nSDY to YQC: 4789\nSDY to ALS: 1413\nALS to YQC: 4112\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FDF, EAT, ART, UTT, TAG, YFH, BDU, PAT, XBJ\n- Travel distances (in kilometers) between each pair of airports:\nFDF to TAG: 17466\nFDF to PAT: 14290\nFDF to ART: 3607\nFDF to EAT: 6835\nFDF to BDU: 9086\nFDF to XBJ: 11932\nFDF to UTT: 12575\nFDF to YFH: 4968\nEAT to TAG: 11484\nEAT to PAT: 12899\nEAT to ART: 3910\nEAT to BDU: 8793\nEAT to XBJ: 12931\nEAT to UTT: 17477\nEAT to YFH: 3042\nART to TAG: 14735\nART to PAT: 13209\nART to BDU: 7565\nART to XBJ: 11500\nART to UTT: 14045\nART to YFH: 2298\nUTT to TAG: 12224\nUTT to PAT: 9015\nUTT to BDU: 11408\nUTT to XBJ: 8656\nUTT to YFH: 15300\nTAG to PAT: 4850\nTAG to BDU: 11382\nTAG to XBJ: 7735\nTAG to YFH: 13775\nYFH to PAT: 13800\nYFH to BDU: 8273\nYFH to XBJ: 12317\nBDU to PAT: 7867\nBDU to XBJ: 6228\nPAT to XBJ: 3096\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56713,
"style": "rule"
}
|
{
"exact_answer": 56713,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FDF\", \"id\": 0}, {\"name\": \"EAT\", \"id\": 1}, {\"name\": \"ART\", \"id\": 2}, {\"name\": \"UTT\", \"id\": 3}, {\"name\": \"TAG\", \"id\": 4}, {\"name\": \"YFH\", \"id\": 5}, {\"name\": \"BDU\", \"id\": 6}, {\"name\": \"PAT\", \"id\": 7}, {\"name\": \"XBJ\", \"id\": 8}], \"links\": [{\"weight\": 17466, \"source\": 0, \"target\": 4}, {\"weight\": 14290, \"source\": 0, \"target\": 7}, {\"weight\": 3607, \"source\": 0, \"target\": 2}, {\"weight\": 6835, \"source\": 0, \"target\": 1}, {\"weight\": 9086, \"source\": 0, \"target\": 6}, {\"weight\": 11932, \"source\": 0, \"target\": 8}, {\"weight\": 12575, \"source\": 0, \"target\": 3}, {\"weight\": 4968, \"source\": 0, \"target\": 5}, {\"weight\": 11484, \"source\": 1, \"target\": 4}, {\"weight\": 12899, \"source\": 1, \"target\": 7}, {\"weight\": 3910, \"source\": 1, \"target\": 2}, {\"weight\": 8793, \"source\": 1, \"target\": 6}, {\"weight\": 12931, \"source\": 1, \"target\": 8}, {\"weight\": 17477, \"source\": 1, \"target\": 3}, {\"weight\": 3042, \"source\": 1, \"target\": 5}, {\"weight\": 14735, \"source\": 2, \"target\": 4}, {\"weight\": 13209, \"source\": 2, \"target\": 7}, {\"weight\": 7565, \"source\": 2, \"target\": 6}, {\"weight\": 11500, \"source\": 2, \"target\": 8}, {\"weight\": 14045, \"source\": 2, \"target\": 3}, {\"weight\": 2298, \"source\": 2, \"target\": 5}, {\"weight\": 12224, \"source\": 3, \"target\": 4}, {\"weight\": 9015, \"source\": 3, \"target\": 7}, {\"weight\": 11408, \"source\": 3, \"target\": 6}, {\"weight\": 8656, \"source\": 3, \"target\": 8}, {\"weight\": 15300, \"source\": 3, \"target\": 5}, {\"weight\": 4850, \"source\": 4, \"target\": 7}, {\"weight\": 11382, \"source\": 4, \"target\": 6}, {\"weight\": 7735, \"source\": 4, \"target\": 8}, {\"weight\": 13775, \"source\": 4, \"target\": 5}, {\"weight\": 13800, \"source\": 5, \"target\": 7}, {\"weight\": 8273, \"source\": 5, \"target\": 6}, {\"weight\": 12317, \"source\": 5, \"target\": 8}, {\"weight\": 7867, \"source\": 6, \"target\": 7}, {\"weight\": 6228, \"source\": 6, \"target\": 8}, {\"weight\": 3096, \"source\": 7, \"target\": 8}]}",
"id": 954,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FDF, EAT, ART, UTT, TAG, YFH, BDU, PAT, XBJ\n- Travel distances (in kilometers) between each pair of airports:\nFDF to TAG: 17466\nFDF to PAT: 14290\nFDF to ART: 3607\nFDF to EAT: 6835\nFDF to BDU: 9086\nFDF to XBJ: 11932\nFDF to UTT: 12575\nFDF to YFH: 4968\nEAT to TAG: 11484\nEAT to PAT: 12899\nEAT to ART: 3910\nEAT to BDU: 8793\nEAT to XBJ: 12931\nEAT to UTT: 17477\nEAT to YFH: 3042\nART to TAG: 14735\nART to PAT: 13209\nART to BDU: 7565\nART to XBJ: 11500\nART to UTT: 14045\nART to YFH: 2298\nUTT to TAG: 12224\nUTT to PAT: 9015\nUTT to BDU: 11408\nUTT to XBJ: 8656\nUTT to YFH: 15300\nTAG to PAT: 4850\nTAG to BDU: 11382\nTAG to XBJ: 7735\nTAG to YFH: 13775\nYFH to PAT: 13800\nYFH to BDU: 8273\nYFH to XBJ: 12317\nBDU to PAT: 7867\nBDU to XBJ: 6228\nPAT to XBJ: 3096\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NUI, CKZ, APO, ZNE, CAH, PBU, NDB, PNL, LKB\n- Travel distances (in kilometers) between each pair of airports:\nNUI to APO: 10000\nNUI to PNL: 12804\nNUI to LKB: 11079\nNUI to NDB: 13068\nNUI to ZNE: 17752\nNUI to CKZ: 14025\nNUI to CAH: 15329\nNUI to PBU: 15362\nCKZ to APO: 12091\nCKZ to PNL: 2569\nCKZ to LKB: 16935\nCKZ to NDB: 5985\nCKZ to ZNE: 13272\nCKZ to CAH: 8688\nCKZ to PBU: 8279\nAPO to PNL: 10003\nAPO to LKB: 15112\nAPO to NDB: 7976\nAPO to ZNE: 20311\nAPO to CAH: 18931\nAPO to PBU: 18821\nZNE to PNL: 14531\nZNE to LKB: 7735\nZNE to NDB: 16542\nZNE to CAH: 6175\nZNE to PBU: 7999\nCAH to PNL: 10106\nCAH to LKB: 9569\nCAH to NDB: 13526\nCAH to PBU: 2613\nPBU to PNL: 9693\nPBU to LKB: 11209\nPBU to NDB: 13113\nNDB to PNL: 3893\nNDB to LKB: 19621\nPNL to LKB: 17971\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60319,
"style": "rule"
}
|
{
"exact_answer": 60319,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NUI\", \"id\": 0}, {\"name\": \"CKZ\", \"id\": 1}, {\"name\": \"APO\", \"id\": 2}, {\"name\": \"ZNE\", \"id\": 3}, {\"name\": \"CAH\", \"id\": 4}, {\"name\": \"PBU\", \"id\": 5}, {\"name\": \"NDB\", \"id\": 6}, {\"name\": \"PNL\", \"id\": 7}, {\"name\": \"LKB\", \"id\": 8}], \"links\": [{\"weight\": 10000, \"source\": 0, \"target\": 2}, {\"weight\": 12804, \"source\": 0, \"target\": 7}, {\"weight\": 11079, \"source\": 0, \"target\": 8}, {\"weight\": 13068, \"source\": 0, \"target\": 6}, {\"weight\": 17752, \"source\": 0, \"target\": 3}, {\"weight\": 14025, \"source\": 0, \"target\": 1}, {\"weight\": 15329, \"source\": 0, \"target\": 4}, {\"weight\": 15362, \"source\": 0, \"target\": 5}, {\"weight\": 12091, \"source\": 1, \"target\": 2}, {\"weight\": 2569, \"source\": 1, \"target\": 7}, {\"weight\": 16935, \"source\": 1, \"target\": 8}, {\"weight\": 5985, \"source\": 1, \"target\": 6}, {\"weight\": 13272, \"source\": 1, \"target\": 3}, {\"weight\": 8688, \"source\": 1, \"target\": 4}, {\"weight\": 8279, \"source\": 1, \"target\": 5}, {\"weight\": 10003, \"source\": 2, \"target\": 7}, {\"weight\": 15112, \"source\": 2, \"target\": 8}, {\"weight\": 7976, \"source\": 2, \"target\": 6}, {\"weight\": 20311, \"source\": 2, \"target\": 3}, {\"weight\": 18931, \"source\": 2, \"target\": 4}, {\"weight\": 18821, \"source\": 2, \"target\": 5}, {\"weight\": 14531, \"source\": 3, \"target\": 7}, {\"weight\": 7735, \"source\": 3, \"target\": 8}, {\"weight\": 16542, \"source\": 3, \"target\": 6}, {\"weight\": 6175, \"source\": 3, \"target\": 4}, {\"weight\": 7999, \"source\": 3, \"target\": 5}, {\"weight\": 10106, \"source\": 4, \"target\": 7}, {\"weight\": 9569, \"source\": 4, \"target\": 8}, {\"weight\": 13526, \"source\": 4, \"target\": 6}, {\"weight\": 2613, \"source\": 4, \"target\": 5}, {\"weight\": 9693, \"source\": 5, \"target\": 7}, {\"weight\": 11209, \"source\": 5, \"target\": 8}, {\"weight\": 13113, \"source\": 5, \"target\": 6}, {\"weight\": 3893, \"source\": 6, \"target\": 7}, {\"weight\": 19621, \"source\": 6, \"target\": 8}, {\"weight\": 17971, \"source\": 7, \"target\": 8}]}",
"id": 955,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NUI, CKZ, APO, ZNE, CAH, PBU, NDB, PNL, LKB\n- Travel distances (in kilometers) between each pair of airports:\nNUI to APO: 10000\nNUI to PNL: 12804\nNUI to LKB: 11079\nNUI to NDB: 13068\nNUI to ZNE: 17752\nNUI to CKZ: 14025\nNUI to CAH: 15329\nNUI to PBU: 15362\nCKZ to APO: 12091\nCKZ to PNL: 2569\nCKZ to LKB: 16935\nCKZ to NDB: 5985\nCKZ to ZNE: 13272\nCKZ to CAH: 8688\nCKZ to PBU: 8279\nAPO to PNL: 10003\nAPO to LKB: 15112\nAPO to NDB: 7976\nAPO to ZNE: 20311\nAPO to CAH: 18931\nAPO to PBU: 18821\nZNE to PNL: 14531\nZNE to LKB: 7735\nZNE to NDB: 16542\nZNE to CAH: 6175\nZNE to PBU: 7999\nCAH to PNL: 10106\nCAH to LKB: 9569\nCAH to NDB: 13526\nCAH to PBU: 2613\nPBU to PNL: 9693\nPBU to LKB: 11209\nPBU to NDB: 13113\nNDB to PNL: 3893\nNDB to LKB: 19621\nPNL to LKB: 17971\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KWA, RRG, LRE, SFT, DCY, MBS, GGT, GHB, AMM\n- Travel distances (in kilometers) between each pair of airports:\nKWA to GGT: 12430\nKWA to GHB: 12314\nKWA to DCY: 7775\nKWA to AMM: 13885\nKWA to MBS: 11237\nKWA to LRE: 5722\nKWA to SFT: 14015\nKWA to RRG: 13889\nRRG to GGT: 17586\nRRG to GHB: 17474\nRRG to DCY: 8945\nRRG to AMM: 7421\nRRG to MBS: 16531\nRRG to LRE: 10883\nRRG to SFT: 11014\nLRE to GGT: 16665\nLRE to GHB: 16544\nLRE to DCY: 8288\nLRE to AMM: 13742\nLRE to MBS: 15680\nLRE to SFT: 15320\nSFT to GGT: 8836\nSFT to GHB: 8724\nSFT to DCY: 7994\nSFT to AMM: 3970\nSFT to MBS: 7389\nDCY to GGT: 14779\nDCY to GHB: 14704\nDCY to AMM: 6991\nDCY to MBS: 12761\nMBS to GGT: 2371\nMBS to GHB: 2259\nMBS to AMM: 9881\nGGT to GHB: 196\nGGT to AMM: 10888\nGHB to AMM: 10776\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56616,
"style": "rule"
}
|
{
"exact_answer": 56616,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KWA\", \"id\": 0}, {\"name\": \"RRG\", \"id\": 1}, {\"name\": \"LRE\", \"id\": 2}, {\"name\": \"SFT\", \"id\": 3}, {\"name\": \"DCY\", \"id\": 4}, {\"name\": \"MBS\", \"id\": 5}, {\"name\": \"GGT\", \"id\": 6}, {\"name\": \"GHB\", \"id\": 7}, {\"name\": \"AMM\", \"id\": 8}], \"links\": [{\"weight\": 12430, \"source\": 0, \"target\": 6}, {\"weight\": 12314, \"source\": 0, \"target\": 7}, {\"weight\": 7775, \"source\": 0, \"target\": 4}, {\"weight\": 13885, \"source\": 0, \"target\": 8}, {\"weight\": 11237, \"source\": 0, \"target\": 5}, {\"weight\": 5722, \"source\": 0, \"target\": 2}, {\"weight\": 14015, \"source\": 0, \"target\": 3}, {\"weight\": 13889, \"source\": 0, \"target\": 1}, {\"weight\": 17586, \"source\": 1, \"target\": 6}, {\"weight\": 17474, \"source\": 1, \"target\": 7}, {\"weight\": 8945, \"source\": 1, \"target\": 4}, {\"weight\": 7421, \"source\": 1, \"target\": 8}, {\"weight\": 16531, \"source\": 1, \"target\": 5}, {\"weight\": 10883, \"source\": 1, \"target\": 2}, {\"weight\": 11014, \"source\": 1, \"target\": 3}, {\"weight\": 16665, \"source\": 2, \"target\": 6}, {\"weight\": 16544, \"source\": 2, \"target\": 7}, {\"weight\": 8288, \"source\": 2, \"target\": 4}, {\"weight\": 13742, \"source\": 2, \"target\": 8}, {\"weight\": 15680, \"source\": 2, \"target\": 5}, {\"weight\": 15320, \"source\": 2, \"target\": 3}, {\"weight\": 8836, \"source\": 3, \"target\": 6}, {\"weight\": 8724, \"source\": 3, \"target\": 7}, {\"weight\": 7994, \"source\": 3, \"target\": 4}, {\"weight\": 3970, \"source\": 3, \"target\": 8}, {\"weight\": 7389, \"source\": 3, \"target\": 5}, {\"weight\": 14779, \"source\": 4, \"target\": 6}, {\"weight\": 14704, \"source\": 4, \"target\": 7}, {\"weight\": 6991, \"source\": 4, \"target\": 8}, {\"weight\": 12761, \"source\": 4, \"target\": 5}, {\"weight\": 2371, \"source\": 5, \"target\": 6}, {\"weight\": 2259, \"source\": 5, \"target\": 7}, {\"weight\": 9881, \"source\": 5, \"target\": 8}, {\"weight\": 196, \"source\": 6, \"target\": 7}, {\"weight\": 10888, \"source\": 6, \"target\": 8}, {\"weight\": 10776, \"source\": 7, \"target\": 8}]}",
"id": 956,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KWA, RRG, LRE, SFT, DCY, MBS, GGT, GHB, AMM\n- Travel distances (in kilometers) between each pair of airports:\nKWA to GGT: 12430\nKWA to GHB: 12314\nKWA to DCY: 7775\nKWA to AMM: 13885\nKWA to MBS: 11237\nKWA to LRE: 5722\nKWA to SFT: 14015\nKWA to RRG: 13889\nRRG to GGT: 17586\nRRG to GHB: 17474\nRRG to DCY: 8945\nRRG to AMM: 7421\nRRG to MBS: 16531\nRRG to LRE: 10883\nRRG to SFT: 11014\nLRE to GGT: 16665\nLRE to GHB: 16544\nLRE to DCY: 8288\nLRE to AMM: 13742\nLRE to MBS: 15680\nLRE to SFT: 15320\nSFT to GGT: 8836\nSFT to GHB: 8724\nSFT to DCY: 7994\nSFT to AMM: 3970\nSFT to MBS: 7389\nDCY to GGT: 14779\nDCY to GHB: 14704\nDCY to AMM: 6991\nDCY to MBS: 12761\nMBS to GGT: 2371\nMBS to GHB: 2259\nMBS to AMM: 9881\nGGT to GHB: 196\nGGT to AMM: 10888\nGHB to AMM: 10776\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVD, TID, TOG, HBX, MVP, DJG, KWI, MZT, DIU\n- Travel distances (in kilometers) between each pair of airports:\nKVD to MZT: 12624\nKVD to TOG: 14126\nKVD to MVP: 12784\nKVD to KWI: 1635\nKVD to DIU: 3956\nKVD to DJG: 5229\nKVD to TID: 3945\nKVD to HBX: 4160\nTID to MZT: 10323\nTID to TOG: 12735\nTID to MVP: 9429\nTID to KWI: 4435\nTID to DIU: 7465\nTID to DJG: 1718\nTID to HBX: 7669\nTOG to MZT: 6238\nTOG to MVP: 10271\nTOG to KWI: 15309\nTOG to DIU: 16927\nTOG to DJG: 14019\nTOG to HBX: 17131\nHBX to MZT: 16334\nHBX to MVP: 16616\nHBX to KWI: 3234\nHBX to DIU: 748\nHBX to DJG: 8953\nMVP to MZT: 4589\nMVP to KWI: 13406\nMVP to DIU: 16412\nMVP to DJG: 10529\nDJG to MZT: 11607\nDJG to KWI: 5719\nDJG to DIU: 8749\nKWI to MZT: 13664\nKWI to DIU: 3030\nMZT to DIU: 16130\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49563,
"style": "rule"
}
|
{
"exact_answer": 49563,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KVD\", \"id\": 0}, {\"name\": \"TID\", \"id\": 1}, {\"name\": \"TOG\", \"id\": 2}, {\"name\": \"HBX\", \"id\": 3}, {\"name\": \"MVP\", \"id\": 4}, {\"name\": \"DJG\", \"id\": 5}, {\"name\": \"KWI\", \"id\": 6}, {\"name\": \"MZT\", \"id\": 7}, {\"name\": \"DIU\", \"id\": 8}], \"links\": [{\"weight\": 12624, \"source\": 0, \"target\": 7}, {\"weight\": 14126, \"source\": 0, \"target\": 2}, {\"weight\": 12784, \"source\": 0, \"target\": 4}, {\"weight\": 1635, \"source\": 0, \"target\": 6}, {\"weight\": 3956, \"source\": 0, \"target\": 8}, {\"weight\": 5229, \"source\": 0, \"target\": 5}, {\"weight\": 3945, \"source\": 0, \"target\": 1}, {\"weight\": 4160, \"source\": 0, \"target\": 3}, {\"weight\": 10323, \"source\": 1, \"target\": 7}, {\"weight\": 12735, \"source\": 1, \"target\": 2}, {\"weight\": 9429, \"source\": 1, \"target\": 4}, {\"weight\": 4435, \"source\": 1, \"target\": 6}, {\"weight\": 7465, \"source\": 1, \"target\": 8}, {\"weight\": 1718, \"source\": 1, \"target\": 5}, {\"weight\": 7669, \"source\": 1, \"target\": 3}, {\"weight\": 6238, \"source\": 2, \"target\": 7}, {\"weight\": 10271, \"source\": 2, \"target\": 4}, {\"weight\": 15309, \"source\": 2, \"target\": 6}, {\"weight\": 16927, \"source\": 2, \"target\": 8}, {\"weight\": 14019, \"source\": 2, \"target\": 5}, {\"weight\": 17131, \"source\": 2, \"target\": 3}, {\"weight\": 16334, \"source\": 3, \"target\": 7}, {\"weight\": 16616, \"source\": 3, \"target\": 4}, {\"weight\": 3234, \"source\": 3, \"target\": 6}, {\"weight\": 748, \"source\": 3, \"target\": 8}, {\"weight\": 8953, \"source\": 3, \"target\": 5}, {\"weight\": 4589, \"source\": 4, \"target\": 7}, {\"weight\": 13406, \"source\": 4, \"target\": 6}, {\"weight\": 16412, \"source\": 4, \"target\": 8}, {\"weight\": 10529, \"source\": 4, \"target\": 5}, {\"weight\": 11607, \"source\": 5, \"target\": 7}, {\"weight\": 5719, \"source\": 5, \"target\": 6}, {\"weight\": 8749, \"source\": 5, \"target\": 8}, {\"weight\": 13664, \"source\": 6, \"target\": 7}, {\"weight\": 3030, \"source\": 6, \"target\": 8}, {\"weight\": 16130, \"source\": 7, \"target\": 8}]}",
"id": 957,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVD, TID, TOG, HBX, MVP, DJG, KWI, MZT, DIU\n- Travel distances (in kilometers) between each pair of airports:\nKVD to MZT: 12624\nKVD to TOG: 14126\nKVD to MVP: 12784\nKVD to KWI: 1635\nKVD to DIU: 3956\nKVD to DJG: 5229\nKVD to TID: 3945\nKVD to HBX: 4160\nTID to MZT: 10323\nTID to TOG: 12735\nTID to MVP: 9429\nTID to KWI: 4435\nTID to DIU: 7465\nTID to DJG: 1718\nTID to HBX: 7669\nTOG to MZT: 6238\nTOG to MVP: 10271\nTOG to KWI: 15309\nTOG to DIU: 16927\nTOG to DJG: 14019\nTOG to HBX: 17131\nHBX to MZT: 16334\nHBX to MVP: 16616\nHBX to KWI: 3234\nHBX to DIU: 748\nHBX to DJG: 8953\nMVP to MZT: 4589\nMVP to KWI: 13406\nMVP to DIU: 16412\nMVP to DJG: 10529\nDJG to MZT: 11607\nDJG to KWI: 5719\nDJG to DIU: 8749\nKWI to MZT: 13664\nKWI to DIU: 3030\nMZT to DIU: 16130\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAF, GNY, BVS, TIH, MDG, TML, ADQ, HKT, YNO\n- Travel distances (in kilometers) between each pair of airports:\nMAF to ADQ: 5177\nMAF to HKT: 15178\nMAF to GNY: 11540\nMAF to TML: 11383\nMAF to MDG: 11287\nMAF to BVS: 6981\nMAF to TIH: 8576\nMAF to YNO: 2611\nGNY to ADQ: 13646\nGNY to HKT: 8190\nGNY to TML: 6328\nGNY to MDG: 8720\nGNY to BVS: 10865\nGNY to TIH: 18909\nGNY to YNO: 10654\nBVS to ADQ: 11447\nBVS to HKT: 17202\nBVS to TML: 7264\nBVS to MDG: 17447\nBVS to TIH: 13601\nBVS to YNO: 7679\nTIH to ADQ: 9604\nTIH to HKT: 13512\nTIH to TML: 17678\nTIH to MDG: 11837\nTIH to YNO: 9849\nMDG to ADQ: 11525\nMDG to HKT: 5057\nMDG to TML: 13444\nMDG to YNO: 10896\nTML to ADQ: 14776\nTML to HKT: 11633\nTML to YNO: 10783\nADQ to HKT: 15399\nADQ to YNO: 5090\nHKT to YNO: 14787\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62962,
"style": "rule"
}
|
{
"exact_answer": 62962,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MAF\", \"id\": 0}, {\"name\": \"GNY\", \"id\": 1}, {\"name\": \"BVS\", \"id\": 2}, {\"name\": \"TIH\", \"id\": 3}, {\"name\": \"MDG\", \"id\": 4}, {\"name\": \"TML\", \"id\": 5}, {\"name\": \"ADQ\", \"id\": 6}, {\"name\": \"HKT\", \"id\": 7}, {\"name\": \"YNO\", \"id\": 8}], \"links\": [{\"weight\": 5177, \"source\": 0, \"target\": 6}, {\"weight\": 15178, \"source\": 0, \"target\": 7}, {\"weight\": 11540, \"source\": 0, \"target\": 1}, {\"weight\": 11383, \"source\": 0, \"target\": 5}, {\"weight\": 11287, \"source\": 0, \"target\": 4}, {\"weight\": 6981, \"source\": 0, \"target\": 2}, {\"weight\": 8576, \"source\": 0, \"target\": 3}, {\"weight\": 2611, \"source\": 0, \"target\": 8}, {\"weight\": 13646, \"source\": 1, \"target\": 6}, {\"weight\": 8190, \"source\": 1, \"target\": 7}, {\"weight\": 6328, \"source\": 1, \"target\": 5}, {\"weight\": 8720, \"source\": 1, \"target\": 4}, {\"weight\": 10865, \"source\": 1, \"target\": 2}, {\"weight\": 18909, \"source\": 1, \"target\": 3}, {\"weight\": 10654, \"source\": 1, \"target\": 8}, {\"weight\": 11447, \"source\": 2, \"target\": 6}, {\"weight\": 17202, \"source\": 2, \"target\": 7}, {\"weight\": 7264, \"source\": 2, \"target\": 5}, {\"weight\": 17447, \"source\": 2, \"target\": 4}, {\"weight\": 13601, \"source\": 2, \"target\": 3}, {\"weight\": 7679, \"source\": 2, \"target\": 8}, {\"weight\": 9604, \"source\": 3, \"target\": 6}, {\"weight\": 13512, \"source\": 3, \"target\": 7}, {\"weight\": 17678, \"source\": 3, \"target\": 5}, {\"weight\": 11837, \"source\": 3, \"target\": 4}, {\"weight\": 9849, \"source\": 3, \"target\": 8}, {\"weight\": 11525, \"source\": 4, \"target\": 6}, {\"weight\": 5057, \"source\": 4, \"target\": 7}, {\"weight\": 13444, \"source\": 4, \"target\": 5}, {\"weight\": 10896, \"source\": 4, \"target\": 8}, {\"weight\": 14776, \"source\": 5, \"target\": 6}, {\"weight\": 11633, \"source\": 5, \"target\": 7}, {\"weight\": 10783, \"source\": 5, \"target\": 8}, {\"weight\": 15399, \"source\": 6, \"target\": 7}, {\"weight\": 5090, \"source\": 6, \"target\": 8}, {\"weight\": 14787, \"source\": 7, \"target\": 8}]}",
"id": 958,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAF, GNY, BVS, TIH, MDG, TML, ADQ, HKT, YNO\n- Travel distances (in kilometers) between each pair of airports:\nMAF to ADQ: 5177\nMAF to HKT: 15178\nMAF to GNY: 11540\nMAF to TML: 11383\nMAF to MDG: 11287\nMAF to BVS: 6981\nMAF to TIH: 8576\nMAF to YNO: 2611\nGNY to ADQ: 13646\nGNY to HKT: 8190\nGNY to TML: 6328\nGNY to MDG: 8720\nGNY to BVS: 10865\nGNY to TIH: 18909\nGNY to YNO: 10654\nBVS to ADQ: 11447\nBVS to HKT: 17202\nBVS to TML: 7264\nBVS to MDG: 17447\nBVS to TIH: 13601\nBVS to YNO: 7679\nTIH to ADQ: 9604\nTIH to HKT: 13512\nTIH to TML: 17678\nTIH to MDG: 11837\nTIH to YNO: 9849\nMDG to ADQ: 11525\nMDG to HKT: 5057\nMDG to TML: 13444\nMDG to YNO: 10896\nTML to ADQ: 14776\nTML to HKT: 11633\nTML to YNO: 10783\nADQ to HKT: 15399\nADQ to YNO: 5090\nHKT to YNO: 14787\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZN, UBP, GDL, ODO, CHA, GLV, CPR, PEM, BKM\n- Travel distances (in kilometers) between each pair of airports:\nKZN to ODO: 4419\nKZN to PEM: 14264\nKZN to GDL: 11510\nKZN to GLV: 12941\nKZN to CHA: 9286\nKZN to UBP: 6875\nKZN to CPR: 10055\nKZN to BKM: 8586\nUBP to ODO: 5660\nUBP to PEM: 20135\nUBP to GDL: 15868\nUBP to GLV: 15643\nUBP to CHA: 15161\nUBP to CPR: 14076\nUBP to BKM: 2716\nGDL to ODO: 14658\nGDL to PEM: 5562\nGDL to GLV: 6620\nGDL to CHA: 2534\nGDL to CPR: 2706\nGDL to BKM: 15181\nODO to PEM: 18412\nODO to GLV: 14375\nODO to CHA: 13389\nODO to CPR: 12811\nODO to BKM: 6591\nCHA to PEM: 6165\nCHA to GLV: 6220\nCHA to CPR: 2466\nCHA to BKM: 15226\nGLV to PEM: 12017\nGLV to CPR: 4771\nGLV to BKM: 15177\nCPR to PEM: 7678\nCPR to BKM: 13650\nPEM to BKM: 20594\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56462,
"style": "rule"
}
|
{
"exact_answer": 56462,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KZN\", \"id\": 0}, {\"name\": \"UBP\", \"id\": 1}, {\"name\": \"GDL\", \"id\": 2}, {\"name\": \"ODO\", \"id\": 3}, {\"name\": \"CHA\", \"id\": 4}, {\"name\": \"GLV\", \"id\": 5}, {\"name\": \"CPR\", \"id\": 6}, {\"name\": \"PEM\", \"id\": 7}, {\"name\": \"BKM\", \"id\": 8}], \"links\": [{\"weight\": 4419, \"source\": 0, \"target\": 3}, {\"weight\": 14264, \"source\": 0, \"target\": 7}, {\"weight\": 11510, \"source\": 0, \"target\": 2}, {\"weight\": 12941, \"source\": 0, \"target\": 5}, {\"weight\": 9286, \"source\": 0, \"target\": 4}, {\"weight\": 6875, \"source\": 0, \"target\": 1}, {\"weight\": 10055, \"source\": 0, \"target\": 6}, {\"weight\": 8586, \"source\": 0, \"target\": 8}, {\"weight\": 5660, \"source\": 1, \"target\": 3}, {\"weight\": 20135, \"source\": 1, \"target\": 7}, {\"weight\": 15868, \"source\": 1, \"target\": 2}, {\"weight\": 15643, \"source\": 1, \"target\": 5}, {\"weight\": 15161, \"source\": 1, \"target\": 4}, {\"weight\": 14076, \"source\": 1, \"target\": 6}, {\"weight\": 2716, \"source\": 1, \"target\": 8}, {\"weight\": 14658, \"source\": 2, \"target\": 3}, {\"weight\": 5562, \"source\": 2, \"target\": 7}, {\"weight\": 6620, \"source\": 2, \"target\": 5}, {\"weight\": 2534, \"source\": 2, \"target\": 4}, {\"weight\": 2706, \"source\": 2, \"target\": 6}, {\"weight\": 15181, \"source\": 2, \"target\": 8}, {\"weight\": 18412, \"source\": 3, \"target\": 7}, {\"weight\": 14375, \"source\": 3, \"target\": 5}, {\"weight\": 13389, \"source\": 3, \"target\": 4}, {\"weight\": 12811, \"source\": 3, \"target\": 6}, {\"weight\": 6591, \"source\": 3, \"target\": 8}, {\"weight\": 6165, \"source\": 4, \"target\": 7}, {\"weight\": 6220, \"source\": 4, \"target\": 5}, {\"weight\": 2466, \"source\": 4, \"target\": 6}, {\"weight\": 15226, \"source\": 4, \"target\": 8}, {\"weight\": 12017, \"source\": 5, \"target\": 7}, {\"weight\": 4771, \"source\": 5, \"target\": 6}, {\"weight\": 15177, \"source\": 5, \"target\": 8}, {\"weight\": 7678, \"source\": 6, \"target\": 7}, {\"weight\": 13650, \"source\": 6, \"target\": 8}, {\"weight\": 20594, \"source\": 7, \"target\": 8}]}",
"id": 959,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KZN, UBP, GDL, ODO, CHA, GLV, CPR, PEM, BKM\n- Travel distances (in kilometers) between each pair of airports:\nKZN to ODO: 4419\nKZN to PEM: 14264\nKZN to GDL: 11510\nKZN to GLV: 12941\nKZN to CHA: 9286\nKZN to UBP: 6875\nKZN to CPR: 10055\nKZN to BKM: 8586\nUBP to ODO: 5660\nUBP to PEM: 20135\nUBP to GDL: 15868\nUBP to GLV: 15643\nUBP to CHA: 15161\nUBP to CPR: 14076\nUBP to BKM: 2716\nGDL to ODO: 14658\nGDL to PEM: 5562\nGDL to GLV: 6620\nGDL to CHA: 2534\nGDL to CPR: 2706\nGDL to BKM: 15181\nODO to PEM: 18412\nODO to GLV: 14375\nODO to CHA: 13389\nODO to CPR: 12811\nODO to BKM: 6591\nCHA to PEM: 6165\nCHA to GLV: 6220\nCHA to CPR: 2466\nCHA to BKM: 15226\nGLV to PEM: 12017\nGLV to CPR: 4771\nGLV to BKM: 15177\nCPR to PEM: 7678\nCPR to BKM: 13650\nPEM to BKM: 20594\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ENH, GOH, AMD, KOE, DFW, SSY, VDB, DJJ, WEF\n- Travel distances (in kilometers) between each pair of airports:\nENH to DFW: 12739\nENH to AMD: 4838\nENH to SSY: 12399\nENH to DJJ: 6917\nENH to KOE: 5797\nENH to GOH: 11358\nENH to WEF: 1777\nENH to VDB: 8411\nGOH to DFW: 7498\nGOH to AMD: 9824\nGOH to SSY: 10438\nGOH to DJJ: 17173\nGOH to KOE: 15653\nGOH to WEF: 10591\nGOH to VDB: 3313\nAMD to DFW: 14068\nAMD to SSY: 7863\nAMD to DJJ: 8290\nAMD to KOE: 6745\nAMD to WEF: 5004\nAMD to VDB: 6857\nKOE to DFW: 16876\nKOE to SSY: 13407\nKOE to DJJ: 3713\nKOE to WEF: 6041\nKOE to VDB: 12706\nDFW to SSY: 13214\nDFW to DJJ: 18151\nDFW to WEF: 11491\nDFW to VDB: 8011\nSSY to DJJ: 15047\nSSY to WEF: 12522\nSSY to VDB: 8145\nVDB to DJJ: 14226\nVDB to WEF: 7644\nDJJ to WEF: 7147\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57462,
"style": "rule"
}
|
{
"exact_answer": 57462,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ENH\", \"id\": 0}, {\"name\": \"GOH\", \"id\": 1}, {\"name\": \"AMD\", \"id\": 2}, {\"name\": \"KOE\", \"id\": 3}, {\"name\": \"DFW\", \"id\": 4}, {\"name\": \"SSY\", \"id\": 5}, {\"name\": \"VDB\", \"id\": 6}, {\"name\": \"DJJ\", \"id\": 7}, {\"name\": \"WEF\", \"id\": 8}], \"links\": [{\"weight\": 12739, \"source\": 0, \"target\": 4}, {\"weight\": 4838, \"source\": 0, \"target\": 2}, {\"weight\": 12399, \"source\": 0, \"target\": 5}, {\"weight\": 6917, \"source\": 0, \"target\": 7}, {\"weight\": 5797, \"source\": 0, \"target\": 3}, {\"weight\": 11358, \"source\": 0, \"target\": 1}, {\"weight\": 1777, \"source\": 0, \"target\": 8}, {\"weight\": 8411, \"source\": 0, \"target\": 6}, {\"weight\": 7498, \"source\": 1, \"target\": 4}, {\"weight\": 9824, \"source\": 1, \"target\": 2}, {\"weight\": 10438, \"source\": 1, \"target\": 5}, {\"weight\": 17173, \"source\": 1, \"target\": 7}, {\"weight\": 15653, \"source\": 1, \"target\": 3}, {\"weight\": 10591, \"source\": 1, \"target\": 8}, {\"weight\": 3313, \"source\": 1, \"target\": 6}, {\"weight\": 14068, \"source\": 2, \"target\": 4}, {\"weight\": 7863, \"source\": 2, \"target\": 5}, {\"weight\": 8290, \"source\": 2, \"target\": 7}, {\"weight\": 6745, \"source\": 2, \"target\": 3}, {\"weight\": 5004, \"source\": 2, \"target\": 8}, {\"weight\": 6857, \"source\": 2, \"target\": 6}, {\"weight\": 16876, \"source\": 3, \"target\": 4}, {\"weight\": 13407, \"source\": 3, \"target\": 5}, {\"weight\": 3713, \"source\": 3, \"target\": 7}, {\"weight\": 6041, \"source\": 3, \"target\": 8}, {\"weight\": 12706, \"source\": 3, \"target\": 6}, {\"weight\": 13214, \"source\": 4, \"target\": 5}, {\"weight\": 18151, \"source\": 4, \"target\": 7}, {\"weight\": 11491, \"source\": 4, \"target\": 8}, {\"weight\": 8011, \"source\": 4, \"target\": 6}, {\"weight\": 15047, \"source\": 5, \"target\": 7}, {\"weight\": 12522, \"source\": 5, \"target\": 8}, {\"weight\": 8145, \"source\": 5, \"target\": 6}, {\"weight\": 14226, \"source\": 6, \"target\": 7}, {\"weight\": 7644, \"source\": 6, \"target\": 8}, {\"weight\": 7147, \"source\": 7, \"target\": 8}]}",
"id": 960,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ENH, GOH, AMD, KOE, DFW, SSY, VDB, DJJ, WEF\n- Travel distances (in kilometers) between each pair of airports:\nENH to DFW: 12739\nENH to AMD: 4838\nENH to SSY: 12399\nENH to DJJ: 6917\nENH to KOE: 5797\nENH to GOH: 11358\nENH to WEF: 1777\nENH to VDB: 8411\nGOH to DFW: 7498\nGOH to AMD: 9824\nGOH to SSY: 10438\nGOH to DJJ: 17173\nGOH to KOE: 15653\nGOH to WEF: 10591\nGOH to VDB: 3313\nAMD to DFW: 14068\nAMD to SSY: 7863\nAMD to DJJ: 8290\nAMD to KOE: 6745\nAMD to WEF: 5004\nAMD to VDB: 6857\nKOE to DFW: 16876\nKOE to SSY: 13407\nKOE to DJJ: 3713\nKOE to WEF: 6041\nKOE to VDB: 12706\nDFW to SSY: 13214\nDFW to DJJ: 18151\nDFW to WEF: 11491\nDFW to VDB: 8011\nSSY to DJJ: 15047\nSSY to WEF: 12522\nSSY to VDB: 8145\nVDB to DJJ: 14226\nVDB to WEF: 7644\nDJJ to WEF: 7147\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZS, ROC, HPN, CBO, FSM, GVA, ZSJ, BRE, SVU\n- Travel distances (in kilometers) between each pair of airports:\nCZS to GVA: 11232\nCZS to CBO: 21583\nCZS to BRE: 11343\nCZS to HPN: 7293\nCZS to ROC: 7502\nCZS to FSM: 7571\nCZS to SVU: 17838\nCZS to ZSJ: 9122\nROC to GVA: 6491\nROC to CBO: 14281\nROC to BRE: 6353\nROC to HPN: 598\nROC to FSM: 2135\nROC to SVU: 12766\nROC to ZSJ: 1691\nHPN to GVA: 6314\nHPN to CBO: 14854\nHPN to BRE: 6176\nHPN to FSM: 2184\nHPN to SVU: 13103\nHPN to ZSJ: 2264\nCBO to GVA: 11540\nCBO to BRE: 11041\nCBO to FSM: 14627\nCBO to SVU: 8433\nCBO to ZSJ: 13574\nFSM to GVA: 8351\nFSM to BRE: 8218\nFSM to SVU: 11467\nFSM to ZSJ: 2872\nGVA to BRE: 794\nGVA to SVU: 17330\nGVA to ZSJ: 7934\nZSJ to BRE: 7769\nZSJ to SVU: 12048\nBRE to SVU: 16662\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55421,
"style": "rule"
}
|
{
"exact_answer": 55421,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZS\", \"id\": 0}, {\"name\": \"ROC\", \"id\": 1}, {\"name\": \"HPN\", \"id\": 2}, {\"name\": \"CBO\", \"id\": 3}, {\"name\": \"FSM\", \"id\": 4}, {\"name\": \"GVA\", \"id\": 5}, {\"name\": \"ZSJ\", \"id\": 6}, {\"name\": \"BRE\", \"id\": 7}, {\"name\": \"SVU\", \"id\": 8}], \"links\": [{\"weight\": 11232, \"source\": 0, \"target\": 5}, {\"weight\": 21583, \"source\": 0, \"target\": 3}, {\"weight\": 11343, \"source\": 0, \"target\": 7}, {\"weight\": 7293, \"source\": 0, \"target\": 2}, {\"weight\": 7502, \"source\": 0, \"target\": 1}, {\"weight\": 7571, \"source\": 0, \"target\": 4}, {\"weight\": 17838, \"source\": 0, \"target\": 8}, {\"weight\": 9122, \"source\": 0, \"target\": 6}, {\"weight\": 6491, \"source\": 1, \"target\": 5}, {\"weight\": 14281, \"source\": 1, \"target\": 3}, {\"weight\": 6353, \"source\": 1, \"target\": 7}, {\"weight\": 598, \"source\": 1, \"target\": 2}, {\"weight\": 2135, \"source\": 1, \"target\": 4}, {\"weight\": 12766, \"source\": 1, \"target\": 8}, {\"weight\": 1691, \"source\": 1, \"target\": 6}, {\"weight\": 6314, \"source\": 2, \"target\": 5}, {\"weight\": 14854, \"source\": 2, \"target\": 3}, {\"weight\": 6176, \"source\": 2, \"target\": 7}, {\"weight\": 2184, \"source\": 2, \"target\": 4}, {\"weight\": 13103, \"source\": 2, \"target\": 8}, {\"weight\": 2264, \"source\": 2, \"target\": 6}, {\"weight\": 11540, \"source\": 3, \"target\": 5}, {\"weight\": 11041, \"source\": 3, \"target\": 7}, {\"weight\": 14627, \"source\": 3, \"target\": 4}, {\"weight\": 8433, \"source\": 3, \"target\": 8}, {\"weight\": 13574, \"source\": 3, \"target\": 6}, {\"weight\": 8351, \"source\": 4, \"target\": 5}, {\"weight\": 8218, \"source\": 4, \"target\": 7}, {\"weight\": 11467, \"source\": 4, \"target\": 8}, {\"weight\": 2872, \"source\": 4, \"target\": 6}, {\"weight\": 794, \"source\": 5, \"target\": 7}, {\"weight\": 17330, \"source\": 5, \"target\": 8}, {\"weight\": 7934, \"source\": 5, \"target\": 6}, {\"weight\": 7769, \"source\": 6, \"target\": 7}, {\"weight\": 12048, \"source\": 6, \"target\": 8}, {\"weight\": 16662, \"source\": 7, \"target\": 8}]}",
"id": 961,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZS, ROC, HPN, CBO, FSM, GVA, ZSJ, BRE, SVU\n- Travel distances (in kilometers) between each pair of airports:\nCZS to GVA: 11232\nCZS to CBO: 21583\nCZS to BRE: 11343\nCZS to HPN: 7293\nCZS to ROC: 7502\nCZS to FSM: 7571\nCZS to SVU: 17838\nCZS to ZSJ: 9122\nROC to GVA: 6491\nROC to CBO: 14281\nROC to BRE: 6353\nROC to HPN: 598\nROC to FSM: 2135\nROC to SVU: 12766\nROC to ZSJ: 1691\nHPN to GVA: 6314\nHPN to CBO: 14854\nHPN to BRE: 6176\nHPN to FSM: 2184\nHPN to SVU: 13103\nHPN to ZSJ: 2264\nCBO to GVA: 11540\nCBO to BRE: 11041\nCBO to FSM: 14627\nCBO to SVU: 8433\nCBO to ZSJ: 13574\nFSM to GVA: 8351\nFSM to BRE: 8218\nFSM to SVU: 11467\nFSM to ZSJ: 2872\nGVA to BRE: 794\nGVA to SVU: 17330\nGVA to ZSJ: 7934\nZSJ to BRE: 7769\nZSJ to SVU: 12048\nBRE to SVU: 16662\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEK, GIB, AGN, NBS, RCB, EBJ, ELC, CLL, RVN\n- Travel distances (in kilometers) between each pair of airports:\nCEK to CLL: 11000\nCEK to GIB: 5731\nCEK to NBS: 5278\nCEK to RVN: 2903\nCEK to EBJ: 3302\nCEK to AGN: 12017\nCEK to RCB: 10369\nCEK to ELC: 10642\nGIB to CLL: 9593\nGIB to NBS: 10708\nGIB to RVN: 4270\nGIB to EBJ: 2602\nGIB to AGN: 10945\nGIB to RCB: 11237\nGIB to ELC: 16193\nAGN to CLL: 4485\nAGN to NBS: 10100\nAGN to RVN: 10504\nAGN to EBJ: 9376\nAGN to RCB: 18747\nAGN to ELC: 15956\nNBS to CLL: 11425\nNBS to RVN: 7947\nNBS to EBJ: 8357\nNBS to RCB: 13129\nNBS to ELC: 7063\nRCB to CLL: 15283\nRCB to RVN: 10798\nRCB to EBJ: 9804\nRCB to ELC: 11950\nEBJ to CLL: 8359\nEBJ to RVN: 1814\nEBJ to ELC: 13769\nELC to CLL: 16989\nELC to RVN: 13345\nCLL to RVN: 9487\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60879,
"style": "rule"
}
|
{
"exact_answer": 60879,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CEK\", \"id\": 0}, {\"name\": \"GIB\", \"id\": 1}, {\"name\": \"AGN\", \"id\": 2}, {\"name\": \"NBS\", \"id\": 3}, {\"name\": \"RCB\", \"id\": 4}, {\"name\": \"EBJ\", \"id\": 5}, {\"name\": \"ELC\", \"id\": 6}, {\"name\": \"CLL\", \"id\": 7}, {\"name\": \"RVN\", \"id\": 8}], \"links\": [{\"weight\": 11000, \"source\": 0, \"target\": 7}, {\"weight\": 5731, \"source\": 0, \"target\": 1}, {\"weight\": 5278, \"source\": 0, \"target\": 3}, {\"weight\": 2903, \"source\": 0, \"target\": 8}, {\"weight\": 3302, \"source\": 0, \"target\": 5}, {\"weight\": 12017, \"source\": 0, \"target\": 2}, {\"weight\": 10369, \"source\": 0, \"target\": 4}, {\"weight\": 10642, \"source\": 0, \"target\": 6}, {\"weight\": 9593, \"source\": 1, \"target\": 7}, {\"weight\": 10708, \"source\": 1, \"target\": 3}, {\"weight\": 4270, \"source\": 1, \"target\": 8}, {\"weight\": 2602, \"source\": 1, \"target\": 5}, {\"weight\": 10945, \"source\": 1, \"target\": 2}, {\"weight\": 11237, \"source\": 1, \"target\": 4}, {\"weight\": 16193, \"source\": 1, \"target\": 6}, {\"weight\": 4485, \"source\": 2, \"target\": 7}, {\"weight\": 10100, \"source\": 2, \"target\": 3}, {\"weight\": 10504, \"source\": 2, \"target\": 8}, {\"weight\": 9376, \"source\": 2, \"target\": 5}, {\"weight\": 18747, \"source\": 2, \"target\": 4}, {\"weight\": 15956, \"source\": 2, \"target\": 6}, {\"weight\": 11425, \"source\": 3, \"target\": 7}, {\"weight\": 7947, \"source\": 3, \"target\": 8}, {\"weight\": 8357, \"source\": 3, \"target\": 5}, {\"weight\": 13129, \"source\": 3, \"target\": 4}, {\"weight\": 7063, \"source\": 3, \"target\": 6}, {\"weight\": 15283, \"source\": 4, \"target\": 7}, {\"weight\": 10798, \"source\": 4, \"target\": 8}, {\"weight\": 9804, \"source\": 4, \"target\": 5}, {\"weight\": 11950, \"source\": 4, \"target\": 6}, {\"weight\": 8359, \"source\": 5, \"target\": 7}, {\"weight\": 1814, \"source\": 5, \"target\": 8}, {\"weight\": 13769, \"source\": 5, \"target\": 6}, {\"weight\": 16989, \"source\": 6, \"target\": 7}, {\"weight\": 13345, \"source\": 6, \"target\": 8}, {\"weight\": 9487, \"source\": 7, \"target\": 8}]}",
"id": 962,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEK, GIB, AGN, NBS, RCB, EBJ, ELC, CLL, RVN\n- Travel distances (in kilometers) between each pair of airports:\nCEK to CLL: 11000\nCEK to GIB: 5731\nCEK to NBS: 5278\nCEK to RVN: 2903\nCEK to EBJ: 3302\nCEK to AGN: 12017\nCEK to RCB: 10369\nCEK to ELC: 10642\nGIB to CLL: 9593\nGIB to NBS: 10708\nGIB to RVN: 4270\nGIB to EBJ: 2602\nGIB to AGN: 10945\nGIB to RCB: 11237\nGIB to ELC: 16193\nAGN to CLL: 4485\nAGN to NBS: 10100\nAGN to RVN: 10504\nAGN to EBJ: 9376\nAGN to RCB: 18747\nAGN to ELC: 15956\nNBS to CLL: 11425\nNBS to RVN: 7947\nNBS to EBJ: 8357\nNBS to RCB: 13129\nNBS to ELC: 7063\nRCB to CLL: 15283\nRCB to RVN: 10798\nRCB to EBJ: 9804\nRCB to ELC: 11950\nEBJ to CLL: 8359\nEBJ to RVN: 1814\nEBJ to ELC: 13769\nELC to CLL: 16989\nELC to RVN: 13345\nCLL to RVN: 9487\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVX, CFU, DLC, ZKE, CPD, EFL, FEG, SWA, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nKVX to SWA: 8275\nKVX to FEG: 3836\nKVX to DLC: 7053\nKVX to CFU: 3270\nKVX to EFL: 3311\nKVX to SRQ: 9676\nKVX to ZKE: 9007\nKVX to CPD: 15384\nCFU to EFL: 172\nCFU to SWA: 9001\nCFU to FEG: 4358\nCFU to DLC: 8272\nCFU to SRQ: 9252\nCFU to ZKE: 8330\nCFU to CPD: 15420\nDLC to SWA: 1783\nDLC to FEG: 4612\nDLC to EFL: 8356\nDLC to SRQ: 12664\nDLC to ZKE: 12002\nDLC to CPD: 9271\nZKE to SWA: 13404\nZKE to FEG: 11486\nZKE to EFL: 8486\nZKE to SRQ: 2830\nZKE to CPD: 17763\nCPD to SWA: 7941\nCPD to FEG: 12012\nCPD to EFL: 15327\nCPD to SRQ: 17610\nEFL to SWA: 9085\nEFL to FEG: 4417\nEFL to SRQ: 9416\nFEG to SWA: 5260\nFEG to SRQ: 12155\nSWA to SRQ: 14015\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50425,
"style": "rule"
}
|
{
"exact_answer": 50425,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KVX\", \"id\": 0}, {\"name\": \"CFU\", \"id\": 1}, {\"name\": \"DLC\", \"id\": 2}, {\"name\": \"ZKE\", \"id\": 3}, {\"name\": \"CPD\", \"id\": 4}, {\"name\": \"EFL\", \"id\": 5}, {\"name\": \"FEG\", \"id\": 6}, {\"name\": \"SWA\", \"id\": 7}, {\"name\": \"SRQ\", \"id\": 8}], \"links\": [{\"weight\": 8275, \"source\": 0, \"target\": 7}, {\"weight\": 3836, \"source\": 0, \"target\": 6}, {\"weight\": 7053, \"source\": 0, \"target\": 2}, {\"weight\": 3270, \"source\": 0, \"target\": 1}, {\"weight\": 3311, \"source\": 0, \"target\": 5}, {\"weight\": 9676, \"source\": 0, \"target\": 8}, {\"weight\": 9007, \"source\": 0, \"target\": 3}, {\"weight\": 15384, \"source\": 0, \"target\": 4}, {\"weight\": 172, \"source\": 1, \"target\": 5}, {\"weight\": 9001, \"source\": 1, \"target\": 7}, {\"weight\": 4358, \"source\": 1, \"target\": 6}, {\"weight\": 8272, \"source\": 1, \"target\": 2}, {\"weight\": 9252, \"source\": 1, \"target\": 8}, {\"weight\": 8330, \"source\": 1, \"target\": 3}, {\"weight\": 15420, \"source\": 1, \"target\": 4}, {\"weight\": 1783, \"source\": 2, \"target\": 7}, {\"weight\": 4612, \"source\": 2, \"target\": 6}, {\"weight\": 8356, \"source\": 2, \"target\": 5}, {\"weight\": 12664, \"source\": 2, \"target\": 8}, {\"weight\": 12002, \"source\": 2, \"target\": 3}, {\"weight\": 9271, \"source\": 2, \"target\": 4}, {\"weight\": 13404, \"source\": 3, \"target\": 7}, {\"weight\": 11486, \"source\": 3, \"target\": 6}, {\"weight\": 8486, \"source\": 3, \"target\": 5}, {\"weight\": 2830, \"source\": 3, \"target\": 8}, {\"weight\": 17763, \"source\": 3, \"target\": 4}, {\"weight\": 7941, \"source\": 4, \"target\": 7}, {\"weight\": 12012, \"source\": 4, \"target\": 6}, {\"weight\": 15327, \"source\": 4, \"target\": 5}, {\"weight\": 17610, \"source\": 4, \"target\": 8}, {\"weight\": 9085, \"source\": 5, \"target\": 7}, {\"weight\": 4417, \"source\": 5, \"target\": 6}, {\"weight\": 9416, \"source\": 5, \"target\": 8}, {\"weight\": 5260, \"source\": 6, \"target\": 7}, {\"weight\": 12155, \"source\": 6, \"target\": 8}, {\"weight\": 14015, \"source\": 7, \"target\": 8}]}",
"id": 963,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVX, CFU, DLC, ZKE, CPD, EFL, FEG, SWA, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nKVX to SWA: 8275\nKVX to FEG: 3836\nKVX to DLC: 7053\nKVX to CFU: 3270\nKVX to EFL: 3311\nKVX to SRQ: 9676\nKVX to ZKE: 9007\nKVX to CPD: 15384\nCFU to EFL: 172\nCFU to SWA: 9001\nCFU to FEG: 4358\nCFU to DLC: 8272\nCFU to SRQ: 9252\nCFU to ZKE: 8330\nCFU to CPD: 15420\nDLC to SWA: 1783\nDLC to FEG: 4612\nDLC to EFL: 8356\nDLC to SRQ: 12664\nDLC to ZKE: 12002\nDLC to CPD: 9271\nZKE to SWA: 13404\nZKE to FEG: 11486\nZKE to EFL: 8486\nZKE to SRQ: 2830\nZKE to CPD: 17763\nCPD to SWA: 7941\nCPD to FEG: 12012\nCPD to EFL: 15327\nCPD to SRQ: 17610\nEFL to SWA: 9085\nEFL to FEG: 4417\nEFL to SRQ: 9416\nFEG to SWA: 5260\nFEG to SRQ: 12155\nSWA to SRQ: 14015\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KUV, PIH, ZFM, GDE, TUC, KYK, VAN, KMJ\n- Travel distances (in kilometers) between each pair of airports:\nGES to KYK: 14270\nGES to ZFM: 14211\nGES to TUC: 20119\nGES to PIH: 12759\nGES to GDE: 10518\nGES to KMJ: 3581\nGES to KUV: 3544\nGES to VAN: 10536\nKUV to KYK: 11929\nKUV to ZFM: 11972\nKUV to TUC: 21220\nKUV to PIH: 10426\nKUV to GDE: 9965\nKUV to KMJ: 1357\nKUV to VAN: 9200\nPIH to KYK: 4178\nPIH to ZFM: 3900\nPIH to TUC: 11463\nPIH to GDE: 14731\nPIH to KMJ: 9927\nPIH to VAN: 11885\nZFM to KYK: 6005\nZFM to TUC: 14536\nZFM to GDE: 15625\nZFM to KMJ: 11379\nZFM to VAN: 12586\nGDE to KYK: 17107\nGDE to TUC: 13515\nGDE to KMJ: 10118\nGDE to VAN: 4417\nTUC to KYK: 15075\nTUC to KMJ: 20593\nTUC to VAN: 14597\nKYK to KMJ: 11435\nKYK to VAN: 14068\nVAN to KMJ: 9356\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66172,
"style": "rule"
}
|
{
"exact_answer": 66172,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GES\", \"id\": 0}, {\"name\": \"KUV\", \"id\": 1}, {\"name\": \"PIH\", \"id\": 2}, {\"name\": \"ZFM\", \"id\": 3}, {\"name\": \"GDE\", \"id\": 4}, {\"name\": \"TUC\", \"id\": 5}, {\"name\": \"KYK\", \"id\": 6}, {\"name\": \"VAN\", \"id\": 7}, {\"name\": \"KMJ\", \"id\": 8}], \"links\": [{\"weight\": 14270, \"source\": 0, \"target\": 6}, {\"weight\": 14211, \"source\": 0, \"target\": 3}, {\"weight\": 20119, \"source\": 0, \"target\": 5}, {\"weight\": 12759, \"source\": 0, \"target\": 2}, {\"weight\": 10518, \"source\": 0, \"target\": 4}, {\"weight\": 3581, \"source\": 0, \"target\": 8}, {\"weight\": 3544, \"source\": 0, \"target\": 1}, {\"weight\": 10536, \"source\": 0, \"target\": 7}, {\"weight\": 11929, \"source\": 1, \"target\": 6}, {\"weight\": 11972, \"source\": 1, \"target\": 3}, {\"weight\": 21220, \"source\": 1, \"target\": 5}, {\"weight\": 10426, \"source\": 1, \"target\": 2}, {\"weight\": 9965, \"source\": 1, \"target\": 4}, {\"weight\": 1357, \"source\": 1, \"target\": 8}, {\"weight\": 9200, \"source\": 1, \"target\": 7}, {\"weight\": 4178, \"source\": 2, \"target\": 6}, {\"weight\": 3900, \"source\": 2, \"target\": 3}, {\"weight\": 11463, \"source\": 2, \"target\": 5}, {\"weight\": 14731, \"source\": 2, \"target\": 4}, {\"weight\": 9927, \"source\": 2, \"target\": 8}, {\"weight\": 11885, \"source\": 2, \"target\": 7}, {\"weight\": 6005, \"source\": 3, \"target\": 6}, {\"weight\": 14536, \"source\": 3, \"target\": 5}, {\"weight\": 15625, \"source\": 3, \"target\": 4}, {\"weight\": 11379, \"source\": 3, \"target\": 8}, {\"weight\": 12586, \"source\": 3, \"target\": 7}, {\"weight\": 17107, \"source\": 4, \"target\": 6}, {\"weight\": 13515, \"source\": 4, \"target\": 5}, {\"weight\": 10118, \"source\": 4, \"target\": 8}, {\"weight\": 4417, \"source\": 4, \"target\": 7}, {\"weight\": 15075, \"source\": 5, \"target\": 6}, {\"weight\": 20593, \"source\": 5, \"target\": 8}, {\"weight\": 14597, \"source\": 5, \"target\": 7}, {\"weight\": 11435, \"source\": 6, \"target\": 8}, {\"weight\": 14068, \"source\": 6, \"target\": 7}, {\"weight\": 9356, \"source\": 7, \"target\": 8}]}",
"id": 964,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KUV, PIH, ZFM, GDE, TUC, KYK, VAN, KMJ\n- Travel distances (in kilometers) between each pair of airports:\nGES to KYK: 14270\nGES to ZFM: 14211\nGES to TUC: 20119\nGES to PIH: 12759\nGES to GDE: 10518\nGES to KMJ: 3581\nGES to KUV: 3544\nGES to VAN: 10536\nKUV to KYK: 11929\nKUV to ZFM: 11972\nKUV to TUC: 21220\nKUV to PIH: 10426\nKUV to GDE: 9965\nKUV to KMJ: 1357\nKUV to VAN: 9200\nPIH to KYK: 4178\nPIH to ZFM: 3900\nPIH to TUC: 11463\nPIH to GDE: 14731\nPIH to KMJ: 9927\nPIH to VAN: 11885\nZFM to KYK: 6005\nZFM to TUC: 14536\nZFM to GDE: 15625\nZFM to KMJ: 11379\nZFM to VAN: 12586\nGDE to KYK: 17107\nGDE to TUC: 13515\nGDE to KMJ: 10118\nGDE to VAN: 4417\nTUC to KYK: 15075\nTUC to KMJ: 20593\nTUC to VAN: 14597\nKYK to KMJ: 11435\nKYK to VAN: 14068\nVAN to KMJ: 9356\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SON, THU, NIQ, RAR, BOC, GUW, SRY, RMQ, YQQ\n- Travel distances (in kilometers) between each pair of airports:\nSON to BOC: 14735\nSON to YQQ: 10830\nSON to RMQ: 8047\nSON to SRY: 14209\nSON to GUW: 14144\nSON to THU: 19569\nSON to NIQ: 18644\nSON to RAR: 5522\nTHU to BOC: 11076\nTHU to YQQ: 8942\nTHU to RMQ: 13613\nTHU to SRY: 9895\nTHU to GUW: 7779\nTHU to NIQ: 1439\nTHU to RAR: 17787\nNIQ to BOC: 10151\nNIQ to YQQ: 8017\nNIQ to RMQ: 12688\nNIQ to SRY: 8970\nNIQ to GUW: 6854\nNIQ to RAR: 16862\nRAR to BOC: 12143\nRAR to YQQ: 9410\nRAR to RMQ: 12408\nRAR to SRY: 17866\nRAR to GUW: 17999\nBOC to YQQ: 6034\nBOC to RMQ: 15628\nBOC to SRY: 14460\nBOC to GUW: 12623\nGUW to YQQ: 10542\nGUW to RMQ: 6573\nGUW to SRY: 2677\nSRY to YQQ: 12946\nSRY to RMQ: 6816\nRMQ to YQQ: 9923\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57875,
"style": "rule"
}
|
{
"exact_answer": 57875,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SON\", \"id\": 0}, {\"name\": \"THU\", \"id\": 1}, {\"name\": \"NIQ\", \"id\": 2}, {\"name\": \"RAR\", \"id\": 3}, {\"name\": \"BOC\", \"id\": 4}, {\"name\": \"GUW\", \"id\": 5}, {\"name\": \"SRY\", \"id\": 6}, {\"name\": \"RMQ\", \"id\": 7}, {\"name\": \"YQQ\", \"id\": 8}], \"links\": [{\"weight\": 14735, \"source\": 0, \"target\": 4}, {\"weight\": 10830, \"source\": 0, \"target\": 8}, {\"weight\": 8047, \"source\": 0, \"target\": 7}, {\"weight\": 14209, \"source\": 0, \"target\": 6}, {\"weight\": 14144, \"source\": 0, \"target\": 5}, {\"weight\": 19569, \"source\": 0, \"target\": 1}, {\"weight\": 18644, \"source\": 0, \"target\": 2}, {\"weight\": 5522, \"source\": 0, \"target\": 3}, {\"weight\": 11076, \"source\": 1, \"target\": 4}, {\"weight\": 8942, \"source\": 1, \"target\": 8}, {\"weight\": 13613, \"source\": 1, \"target\": 7}, {\"weight\": 9895, \"source\": 1, \"target\": 6}, {\"weight\": 7779, \"source\": 1, \"target\": 5}, {\"weight\": 1439, \"source\": 1, \"target\": 2}, {\"weight\": 17787, \"source\": 1, \"target\": 3}, {\"weight\": 10151, \"source\": 2, \"target\": 4}, {\"weight\": 8017, \"source\": 2, \"target\": 8}, {\"weight\": 12688, \"source\": 2, \"target\": 7}, {\"weight\": 8970, \"source\": 2, \"target\": 6}, {\"weight\": 6854, \"source\": 2, \"target\": 5}, {\"weight\": 16862, \"source\": 2, \"target\": 3}, {\"weight\": 12143, \"source\": 3, \"target\": 4}, {\"weight\": 9410, \"source\": 3, \"target\": 8}, {\"weight\": 12408, \"source\": 3, \"target\": 7}, {\"weight\": 17866, \"source\": 3, \"target\": 6}, {\"weight\": 17999, \"source\": 3, \"target\": 5}, {\"weight\": 6034, \"source\": 4, \"target\": 8}, {\"weight\": 15628, \"source\": 4, \"target\": 7}, {\"weight\": 14460, \"source\": 4, \"target\": 6}, {\"weight\": 12623, \"source\": 4, \"target\": 5}, {\"weight\": 10542, \"source\": 5, \"target\": 8}, {\"weight\": 6573, \"source\": 5, \"target\": 7}, {\"weight\": 2677, \"source\": 5, \"target\": 6}, {\"weight\": 12946, \"source\": 6, \"target\": 8}, {\"weight\": 6816, \"source\": 6, \"target\": 7}, {\"weight\": 9923, \"source\": 7, \"target\": 8}]}",
"id": 965,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SON, THU, NIQ, RAR, BOC, GUW, SRY, RMQ, YQQ\n- Travel distances (in kilometers) between each pair of airports:\nSON to BOC: 14735\nSON to YQQ: 10830\nSON to RMQ: 8047\nSON to SRY: 14209\nSON to GUW: 14144\nSON to THU: 19569\nSON to NIQ: 18644\nSON to RAR: 5522\nTHU to BOC: 11076\nTHU to YQQ: 8942\nTHU to RMQ: 13613\nTHU to SRY: 9895\nTHU to GUW: 7779\nTHU to NIQ: 1439\nTHU to RAR: 17787\nNIQ to BOC: 10151\nNIQ to YQQ: 8017\nNIQ to RMQ: 12688\nNIQ to SRY: 8970\nNIQ to GUW: 6854\nNIQ to RAR: 16862\nRAR to BOC: 12143\nRAR to YQQ: 9410\nRAR to RMQ: 12408\nRAR to SRY: 17866\nRAR to GUW: 17999\nBOC to YQQ: 6034\nBOC to RMQ: 15628\nBOC to SRY: 14460\nBOC to GUW: 12623\nGUW to YQQ: 10542\nGUW to RMQ: 6573\nGUW to SRY: 2677\nSRY to YQQ: 12946\nSRY to RMQ: 6816\nRMQ to YQQ: 9923\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, REU, MQP, HRM, CLJ, ZQZ, MLE, MHH, PVR\n- Travel distances (in kilometers) between each pair of airports:\nURE to MHH: 8738\nURE to PVR: 10304\nURE to HRM: 3569\nURE to MLE: 7612\nURE to CLJ: 2121\nURE to REU: 2881\nURE to ZQZ: 7379\nURE to MQP: 10012\nREU to MHH: 8203\nREU to PVR: 10226\nREU to HRM: 959\nREU to MLE: 8414\nREU to CLJ: 2110\nREU to ZQZ: 9616\nREU to MQP: 8726\nMQP to MHH: 14299\nMQP to PVR: 15830\nMQP to HRM: 8603\nMQP to MLE: 7838\nMQP to CLJ: 8514\nMQP to ZQZ: 12113\nHRM to MHH: 8533\nHRM to PVR: 10607\nHRM to MLE: 8460\nHRM to CLJ: 2627\nHRM to ZQZ: 10015\nCLJ to MHH: 8971\nCLJ to PVR: 10968\nCLJ to MLE: 6742\nCLJ to ZQZ: 8100\nZQZ to MHH: 13648\nZQZ to PVR: 12658\nZQZ to MLE: 6040\nMLE to MHH: 15679\nMLE to PVR: 17517\nMHH to PVR: 3039\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52106,
"style": "rule"
}
|
{
"exact_answer": 52106,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"URE\", \"id\": 0}, {\"name\": \"REU\", \"id\": 1}, {\"name\": \"MQP\", \"id\": 2}, {\"name\": \"HRM\", \"id\": 3}, {\"name\": \"CLJ\", \"id\": 4}, {\"name\": \"ZQZ\", \"id\": 5}, {\"name\": \"MLE\", \"id\": 6}, {\"name\": \"MHH\", \"id\": 7}, {\"name\": \"PVR\", \"id\": 8}], \"links\": [{\"weight\": 8738, \"source\": 0, \"target\": 7}, {\"weight\": 10304, \"source\": 0, \"target\": 8}, {\"weight\": 3569, \"source\": 0, \"target\": 3}, {\"weight\": 7612, \"source\": 0, \"target\": 6}, {\"weight\": 2121, \"source\": 0, \"target\": 4}, {\"weight\": 2881, \"source\": 0, \"target\": 1}, {\"weight\": 7379, \"source\": 0, \"target\": 5}, {\"weight\": 10012, \"source\": 0, \"target\": 2}, {\"weight\": 8203, \"source\": 1, \"target\": 7}, {\"weight\": 10226, \"source\": 1, \"target\": 8}, {\"weight\": 959, \"source\": 1, \"target\": 3}, {\"weight\": 8414, \"source\": 1, \"target\": 6}, {\"weight\": 2110, \"source\": 1, \"target\": 4}, {\"weight\": 9616, \"source\": 1, \"target\": 5}, {\"weight\": 8726, \"source\": 1, \"target\": 2}, {\"weight\": 14299, \"source\": 2, \"target\": 7}, {\"weight\": 15830, \"source\": 2, \"target\": 8}, {\"weight\": 8603, \"source\": 2, \"target\": 3}, {\"weight\": 7838, \"source\": 2, \"target\": 6}, {\"weight\": 8514, \"source\": 2, \"target\": 4}, {\"weight\": 12113, \"source\": 2, \"target\": 5}, {\"weight\": 8533, \"source\": 3, \"target\": 7}, {\"weight\": 10607, \"source\": 3, \"target\": 8}, {\"weight\": 8460, \"source\": 3, \"target\": 6}, {\"weight\": 2627, \"source\": 3, \"target\": 4}, {\"weight\": 10015, \"source\": 3, \"target\": 5}, {\"weight\": 8971, \"source\": 4, \"target\": 7}, {\"weight\": 10968, \"source\": 4, \"target\": 8}, {\"weight\": 6742, \"source\": 4, \"target\": 6}, {\"weight\": 8100, \"source\": 4, \"target\": 5}, {\"weight\": 13648, \"source\": 5, \"target\": 7}, {\"weight\": 12658, \"source\": 5, \"target\": 8}, {\"weight\": 6040, \"source\": 5, \"target\": 6}, {\"weight\": 15679, \"source\": 6, \"target\": 7}, {\"weight\": 17517, \"source\": 6, \"target\": 8}, {\"weight\": 3039, \"source\": 7, \"target\": 8}]}",
"id": 966,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, REU, MQP, HRM, CLJ, ZQZ, MLE, MHH, PVR\n- Travel distances (in kilometers) between each pair of airports:\nURE to MHH: 8738\nURE to PVR: 10304\nURE to HRM: 3569\nURE to MLE: 7612\nURE to CLJ: 2121\nURE to REU: 2881\nURE to ZQZ: 7379\nURE to MQP: 10012\nREU to MHH: 8203\nREU to PVR: 10226\nREU to HRM: 959\nREU to MLE: 8414\nREU to CLJ: 2110\nREU to ZQZ: 9616\nREU to MQP: 8726\nMQP to MHH: 14299\nMQP to PVR: 15830\nMQP to HRM: 8603\nMQP to MLE: 7838\nMQP to CLJ: 8514\nMQP to ZQZ: 12113\nHRM to MHH: 8533\nHRM to PVR: 10607\nHRM to MLE: 8460\nHRM to CLJ: 2627\nHRM to ZQZ: 10015\nCLJ to MHH: 8971\nCLJ to PVR: 10968\nCLJ to MLE: 6742\nCLJ to ZQZ: 8100\nZQZ to MHH: 13648\nZQZ to PVR: 12658\nZQZ to MLE: 6040\nMLE to MHH: 15679\nMLE to PVR: 17517\nMHH to PVR: 3039\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HDS, OAK, SJD, YBX, PPV, MVR, EVG, SFL, BNC\n- Travel distances (in kilometers) between each pair of airports:\nHDS to SJD: 16393\nHDS to OAK: 17308\nHDS to BNC: 4956\nHDS to PPV: 18312\nHDS to YBX: 13694\nHDS to MVR: 5122\nHDS to SFL: 7811\nHDS to EVG: 10333\nOAK to SJD: 2009\nOAK to BNC: 16232\nOAK to PPV: 2333\nOAK to YBX: 5498\nOAK to MVR: 14214\nOAK to SFL: 9880\nOAK to EVG: 8912\nSJD to BNC: 15739\nSJD to PPV: 4198\nSJD to YBX: 5515\nSJD to MVR: 13721\nSJD to SFL: 9713\nSJD to EVG: 10090\nYBX to BNC: 12526\nYBX to PPV: 6422\nYBX to MVR: 10536\nYBX to SFL: 7405\nYBX to EVG: 6062\nPPV to BNC: 17204\nPPV to MVR: 15214\nPPV to SFL: 10814\nPPV to EVG: 9531\nMVR to BNC: 3841\nMVR to SFL: 4833\nMVR to EVG: 7704\nEVG to BNC: 9577\nEVG to SFL: 6429\nSFL to BNC: 6799\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50502,
"style": "rule"
}
|
{
"exact_answer": 50502,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HDS\", \"id\": 0}, {\"name\": \"OAK\", \"id\": 1}, {\"name\": \"SJD\", \"id\": 2}, {\"name\": \"YBX\", \"id\": 3}, {\"name\": \"PPV\", \"id\": 4}, {\"name\": \"MVR\", \"id\": 5}, {\"name\": \"EVG\", \"id\": 6}, {\"name\": \"SFL\", \"id\": 7}, {\"name\": \"BNC\", \"id\": 8}], \"links\": [{\"weight\": 16393, \"source\": 0, \"target\": 2}, {\"weight\": 17308, \"source\": 0, \"target\": 1}, {\"weight\": 4956, \"source\": 0, \"target\": 8}, {\"weight\": 18312, \"source\": 0, \"target\": 4}, {\"weight\": 13694, \"source\": 0, \"target\": 3}, {\"weight\": 5122, \"source\": 0, \"target\": 5}, {\"weight\": 7811, \"source\": 0, \"target\": 7}, {\"weight\": 10333, \"source\": 0, \"target\": 6}, {\"weight\": 2009, \"source\": 1, \"target\": 2}, {\"weight\": 16232, \"source\": 1, \"target\": 8}, {\"weight\": 2333, \"source\": 1, \"target\": 4}, {\"weight\": 5498, \"source\": 1, \"target\": 3}, {\"weight\": 14214, \"source\": 1, \"target\": 5}, {\"weight\": 9880, \"source\": 1, \"target\": 7}, {\"weight\": 8912, \"source\": 1, \"target\": 6}, {\"weight\": 15739, \"source\": 2, \"target\": 8}, {\"weight\": 4198, \"source\": 2, \"target\": 4}, {\"weight\": 5515, \"source\": 2, \"target\": 3}, {\"weight\": 13721, \"source\": 2, \"target\": 5}, {\"weight\": 9713, \"source\": 2, \"target\": 7}, {\"weight\": 10090, \"source\": 2, \"target\": 6}, {\"weight\": 12526, \"source\": 3, \"target\": 8}, {\"weight\": 6422, \"source\": 3, \"target\": 4}, {\"weight\": 10536, \"source\": 3, \"target\": 5}, {\"weight\": 7405, \"source\": 3, \"target\": 7}, {\"weight\": 6062, \"source\": 3, \"target\": 6}, {\"weight\": 17204, \"source\": 4, \"target\": 8}, {\"weight\": 15214, \"source\": 4, \"target\": 5}, {\"weight\": 10814, \"source\": 4, \"target\": 7}, {\"weight\": 9531, \"source\": 4, \"target\": 6}, {\"weight\": 3841, \"source\": 5, \"target\": 8}, {\"weight\": 4833, \"source\": 5, \"target\": 7}, {\"weight\": 7704, \"source\": 5, \"target\": 6}, {\"weight\": 9577, \"source\": 6, \"target\": 8}, {\"weight\": 6429, \"source\": 6, \"target\": 7}, {\"weight\": 6799, \"source\": 7, \"target\": 8}]}",
"id": 967,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HDS, OAK, SJD, YBX, PPV, MVR, EVG, SFL, BNC\n- Travel distances (in kilometers) between each pair of airports:\nHDS to SJD: 16393\nHDS to OAK: 17308\nHDS to BNC: 4956\nHDS to PPV: 18312\nHDS to YBX: 13694\nHDS to MVR: 5122\nHDS to SFL: 7811\nHDS to EVG: 10333\nOAK to SJD: 2009\nOAK to BNC: 16232\nOAK to PPV: 2333\nOAK to YBX: 5498\nOAK to MVR: 14214\nOAK to SFL: 9880\nOAK to EVG: 8912\nSJD to BNC: 15739\nSJD to PPV: 4198\nSJD to YBX: 5515\nSJD to MVR: 13721\nSJD to SFL: 9713\nSJD to EVG: 10090\nYBX to BNC: 12526\nYBX to PPV: 6422\nYBX to MVR: 10536\nYBX to SFL: 7405\nYBX to EVG: 6062\nPPV to BNC: 17204\nPPV to MVR: 15214\nPPV to SFL: 10814\nPPV to EVG: 9531\nMVR to BNC: 3841\nMVR to SFL: 4833\nMVR to EVG: 7704\nEVG to BNC: 9577\nEVG to SFL: 6429\nSFL to BNC: 6799\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EUX, GTR, YCG, RAR, SYQ, SZI, SPD, LAD, MUN\n- Travel distances (in kilometers) between each pair of airports:\nEUX to SPD: 15042\nEUX to SYQ: 2908\nEUX to LAD: 11415\nEUX to YCG: 6160\nEUX to GTR: 3186\nEUX to SZI: 12519\nEUX to RAR: 13325\nEUX to MUN: 1227\nGTR to SPD: 14926\nGTR to SYQ: 3118\nGTR to LAD: 12130\nGTR to YCG: 3859\nGTR to SZI: 12392\nGTR to RAR: 11046\nGTR to MUN: 3933\nYCG to SPD: 12524\nYCG to SYQ: 5689\nYCG to LAD: 14098\nYCG to SZI: 12146\nYCG to RAR: 9678\nYCG to MUN: 6969\nRAR to SPD: 14328\nRAR to SYQ: 11932\nRAR to LAD: 18275\nRAR to SZI: 17174\nRAR to MUN: 13817\nSYQ to SPD: 17141\nSYQ to LAD: 12324\nSYQ to SZI: 14502\nSYQ to MUN: 2661\nSZI to SPD: 4511\nSZI to LAD: 9931\nSZI to MUN: 13281\nSPD to LAD: 9432\nSPD to MUN: 15839\nLAD to MUN: 10815\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60375,
"style": "rule"
}
|
{
"exact_answer": 60375,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EUX\", \"id\": 0}, {\"name\": \"GTR\", \"id\": 1}, {\"name\": \"YCG\", \"id\": 2}, {\"name\": \"RAR\", \"id\": 3}, {\"name\": \"SYQ\", \"id\": 4}, {\"name\": \"SZI\", \"id\": 5}, {\"name\": \"SPD\", \"id\": 6}, {\"name\": \"LAD\", \"id\": 7}, {\"name\": \"MUN\", \"id\": 8}], \"links\": [{\"weight\": 15042, \"source\": 0, \"target\": 6}, {\"weight\": 2908, \"source\": 0, \"target\": 4}, {\"weight\": 11415, \"source\": 0, \"target\": 7}, {\"weight\": 6160, \"source\": 0, \"target\": 2}, {\"weight\": 3186, \"source\": 0, \"target\": 1}, {\"weight\": 12519, \"source\": 0, \"target\": 5}, {\"weight\": 13325, \"source\": 0, \"target\": 3}, {\"weight\": 1227, \"source\": 0, \"target\": 8}, {\"weight\": 14926, \"source\": 1, \"target\": 6}, {\"weight\": 3118, \"source\": 1, \"target\": 4}, {\"weight\": 12130, \"source\": 1, \"target\": 7}, {\"weight\": 3859, \"source\": 1, \"target\": 2}, {\"weight\": 12392, \"source\": 1, \"target\": 5}, {\"weight\": 11046, \"source\": 1, \"target\": 3}, {\"weight\": 3933, \"source\": 1, \"target\": 8}, {\"weight\": 12524, \"source\": 2, \"target\": 6}, {\"weight\": 5689, \"source\": 2, \"target\": 4}, {\"weight\": 14098, \"source\": 2, \"target\": 7}, {\"weight\": 12146, \"source\": 2, \"target\": 5}, {\"weight\": 9678, \"source\": 2, \"target\": 3}, {\"weight\": 6969, \"source\": 2, \"target\": 8}, {\"weight\": 14328, \"source\": 3, \"target\": 6}, {\"weight\": 11932, \"source\": 3, \"target\": 4}, {\"weight\": 18275, \"source\": 3, \"target\": 7}, {\"weight\": 17174, \"source\": 3, \"target\": 5}, {\"weight\": 13817, \"source\": 3, \"target\": 8}, {\"weight\": 17141, \"source\": 4, \"target\": 6}, {\"weight\": 12324, \"source\": 4, \"target\": 7}, {\"weight\": 14502, \"source\": 4, \"target\": 5}, {\"weight\": 2661, \"source\": 4, \"target\": 8}, {\"weight\": 4511, \"source\": 5, \"target\": 6}, {\"weight\": 9931, \"source\": 5, \"target\": 7}, {\"weight\": 13281, \"source\": 5, \"target\": 8}, {\"weight\": 9432, \"source\": 6, \"target\": 7}, {\"weight\": 15839, \"source\": 6, \"target\": 8}, {\"weight\": 10815, \"source\": 7, \"target\": 8}]}",
"id": 968,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EUX, GTR, YCG, RAR, SYQ, SZI, SPD, LAD, MUN\n- Travel distances (in kilometers) between each pair of airports:\nEUX to SPD: 15042\nEUX to SYQ: 2908\nEUX to LAD: 11415\nEUX to YCG: 6160\nEUX to GTR: 3186\nEUX to SZI: 12519\nEUX to RAR: 13325\nEUX to MUN: 1227\nGTR to SPD: 14926\nGTR to SYQ: 3118\nGTR to LAD: 12130\nGTR to YCG: 3859\nGTR to SZI: 12392\nGTR to RAR: 11046\nGTR to MUN: 3933\nYCG to SPD: 12524\nYCG to SYQ: 5689\nYCG to LAD: 14098\nYCG to SZI: 12146\nYCG to RAR: 9678\nYCG to MUN: 6969\nRAR to SPD: 14328\nRAR to SYQ: 11932\nRAR to LAD: 18275\nRAR to SZI: 17174\nRAR to MUN: 13817\nSYQ to SPD: 17141\nSYQ to LAD: 12324\nSYQ to SZI: 14502\nSYQ to MUN: 2661\nSZI to SPD: 4511\nSZI to LAD: 9931\nSZI to MUN: 13281\nSPD to LAD: 9432\nSPD to MUN: 15839\nLAD to MUN: 10815\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, CBS, GZT, AUS, GMZ, KUA, GAO, SXI, YRA\n- Travel distances (in kilometers) between each pair of airports:\nZOS to GZT: 14878\nZOS to YRA: 12567\nZOS to AUS: 8574\nZOS to GAO: 8030\nZOS to KUA: 18741\nZOS to GMZ: 10323\nZOS to SXI: 16043\nZOS to CBS: 6208\nCBS to GZT: 11059\nCBS to YRA: 7755\nCBS to AUS: 4338\nCBS to GAO: 3429\nCBS to KUA: 18749\nCBS to GMZ: 6192\nCBS to SXI: 13134\nGZT to YRA: 11184\nGZT to AUS: 11234\nGZT to GAO: 11665\nGZT to KUA: 8638\nGZT to GMZ: 5228\nGZT to SXI: 3715\nAUS to YRA: 4092\nAUS to GAO: 2809\nAUS to KUA: 16033\nAUS to GMZ: 8313\nAUS to SXI: 13320\nGMZ to YRA: 9414\nGMZ to GAO: 8673\nGMZ to KUA: 12846\nGMZ to SXI: 7235\nKUA to YRA: 15054\nKUA to GAO: 18306\nKUA to SXI: 6669\nGAO to YRA: 6685\nGAO to SXI: 13733\nSXI to YRA: 13259\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57527,
"style": "rule"
}
|
{
"exact_answer": 57527,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZOS\", \"id\": 0}, {\"name\": \"CBS\", \"id\": 1}, {\"name\": \"GZT\", \"id\": 2}, {\"name\": \"AUS\", \"id\": 3}, {\"name\": \"GMZ\", \"id\": 4}, {\"name\": \"KUA\", \"id\": 5}, {\"name\": \"GAO\", \"id\": 6}, {\"name\": \"SXI\", \"id\": 7}, {\"name\": \"YRA\", \"id\": 8}], \"links\": [{\"weight\": 14878, \"source\": 0, \"target\": 2}, {\"weight\": 12567, \"source\": 0, \"target\": 8}, {\"weight\": 8574, \"source\": 0, \"target\": 3}, {\"weight\": 8030, \"source\": 0, \"target\": 6}, {\"weight\": 18741, \"source\": 0, \"target\": 5}, {\"weight\": 10323, \"source\": 0, \"target\": 4}, {\"weight\": 16043, \"source\": 0, \"target\": 7}, {\"weight\": 6208, \"source\": 0, \"target\": 1}, {\"weight\": 11059, \"source\": 1, \"target\": 2}, {\"weight\": 7755, \"source\": 1, \"target\": 8}, {\"weight\": 4338, \"source\": 1, \"target\": 3}, {\"weight\": 3429, \"source\": 1, \"target\": 6}, {\"weight\": 18749, \"source\": 1, \"target\": 5}, {\"weight\": 6192, \"source\": 1, \"target\": 4}, {\"weight\": 13134, \"source\": 1, \"target\": 7}, {\"weight\": 11184, \"source\": 2, \"target\": 8}, {\"weight\": 11234, \"source\": 2, \"target\": 3}, {\"weight\": 11665, \"source\": 2, \"target\": 6}, {\"weight\": 8638, \"source\": 2, \"target\": 5}, {\"weight\": 5228, \"source\": 2, \"target\": 4}, {\"weight\": 3715, \"source\": 2, \"target\": 7}, {\"weight\": 4092, \"source\": 3, \"target\": 8}, {\"weight\": 2809, \"source\": 3, \"target\": 6}, {\"weight\": 16033, \"source\": 3, \"target\": 5}, {\"weight\": 8313, \"source\": 3, \"target\": 4}, {\"weight\": 13320, \"source\": 3, \"target\": 7}, {\"weight\": 9414, \"source\": 4, \"target\": 8}, {\"weight\": 8673, \"source\": 4, \"target\": 6}, {\"weight\": 12846, \"source\": 4, \"target\": 5}, {\"weight\": 7235, \"source\": 4, \"target\": 7}, {\"weight\": 15054, \"source\": 5, \"target\": 8}, {\"weight\": 18306, \"source\": 5, \"target\": 6}, {\"weight\": 6669, \"source\": 5, \"target\": 7}, {\"weight\": 6685, \"source\": 6, \"target\": 8}, {\"weight\": 13733, \"source\": 6, \"target\": 7}, {\"weight\": 13259, \"source\": 7, \"target\": 8}]}",
"id": 969,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, CBS, GZT, AUS, GMZ, KUA, GAO, SXI, YRA\n- Travel distances (in kilometers) between each pair of airports:\nZOS to GZT: 14878\nZOS to YRA: 12567\nZOS to AUS: 8574\nZOS to GAO: 8030\nZOS to KUA: 18741\nZOS to GMZ: 10323\nZOS to SXI: 16043\nZOS to CBS: 6208\nCBS to GZT: 11059\nCBS to YRA: 7755\nCBS to AUS: 4338\nCBS to GAO: 3429\nCBS to KUA: 18749\nCBS to GMZ: 6192\nCBS to SXI: 13134\nGZT to YRA: 11184\nGZT to AUS: 11234\nGZT to GAO: 11665\nGZT to KUA: 8638\nGZT to GMZ: 5228\nGZT to SXI: 3715\nAUS to YRA: 4092\nAUS to GAO: 2809\nAUS to KUA: 16033\nAUS to GMZ: 8313\nAUS to SXI: 13320\nGMZ to YRA: 9414\nGMZ to GAO: 8673\nGMZ to KUA: 12846\nGMZ to SXI: 7235\nKUA to YRA: 15054\nKUA to GAO: 18306\nKUA to SXI: 6669\nGAO to YRA: 6685\nGAO to SXI: 13733\nSXI to YRA: 13259\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJJ, RMA, YWK, AHO, MGA, PPP, TOY, CMB, ANU\n- Travel distances (in kilometers) between each pair of airports:\nSJJ to YWK: 6618\nSJJ to ANU: 8171\nSJJ to MGA: 10356\nSJJ to CMB: 7206\nSJJ to AHO: 1173\nSJJ to TOY: 9459\nSJJ to PPP: 16572\nSJJ to RMA: 15799\nRMA to YWK: 16877\nRMA to ANU: 17740\nRMA to MGA: 16047\nRMA to CMB: 8942\nRMA to AHO: 16623\nRMA to TOY: 8260\nRMA to PPP: 1335\nYWK to ANU: 4342\nYWK to MGA: 4855\nYWK to CMB: 13694\nYWK to AHO: 6408\nYWK to TOY: 12467\nYWK to PPP: 17332\nAHO to ANU: 7952\nAHO to MGA: 9745\nAHO to CMB: 7983\nAHO to TOY: 10269\nAHO to PPP: 17386\nMGA to ANU: 2990\nMGA to CMB: 17432\nMGA to TOY: 13140\nMGA to PPP: 16502\nPPP to ANU: 18195\nPPP to CMB: 9682\nPPP to TOY: 8715\nTOY to ANU: 14370\nTOY to CMB: 6642\nCMB to ANU: 15226\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54251,
"style": "rule"
}
|
{
"exact_answer": 54251,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SJJ\", \"id\": 0}, {\"name\": \"RMA\", \"id\": 1}, {\"name\": \"YWK\", \"id\": 2}, {\"name\": \"AHO\", \"id\": 3}, {\"name\": \"MGA\", \"id\": 4}, {\"name\": \"PPP\", \"id\": 5}, {\"name\": \"TOY\", \"id\": 6}, {\"name\": \"CMB\", \"id\": 7}, {\"name\": \"ANU\", \"id\": 8}], \"links\": [{\"weight\": 6618, \"source\": 0, \"target\": 2}, {\"weight\": 8171, \"source\": 0, \"target\": 8}, {\"weight\": 10356, \"source\": 0, \"target\": 4}, {\"weight\": 7206, \"source\": 0, \"target\": 7}, {\"weight\": 1173, \"source\": 0, \"target\": 3}, {\"weight\": 9459, \"source\": 0, \"target\": 6}, {\"weight\": 16572, \"source\": 0, \"target\": 5}, {\"weight\": 15799, \"source\": 0, \"target\": 1}, {\"weight\": 16877, \"source\": 1, \"target\": 2}, {\"weight\": 17740, \"source\": 1, \"target\": 8}, {\"weight\": 16047, \"source\": 1, \"target\": 4}, {\"weight\": 8942, \"source\": 1, \"target\": 7}, {\"weight\": 16623, \"source\": 1, \"target\": 3}, {\"weight\": 8260, \"source\": 1, \"target\": 6}, {\"weight\": 1335, \"source\": 1, \"target\": 5}, {\"weight\": 4342, \"source\": 2, \"target\": 8}, {\"weight\": 4855, \"source\": 2, \"target\": 4}, {\"weight\": 13694, \"source\": 2, \"target\": 7}, {\"weight\": 6408, \"source\": 2, \"target\": 3}, {\"weight\": 12467, \"source\": 2, \"target\": 6}, {\"weight\": 17332, \"source\": 2, \"target\": 5}, {\"weight\": 7952, \"source\": 3, \"target\": 8}, {\"weight\": 9745, \"source\": 3, \"target\": 4}, {\"weight\": 7983, \"source\": 3, \"target\": 7}, {\"weight\": 10269, \"source\": 3, \"target\": 6}, {\"weight\": 17386, \"source\": 3, \"target\": 5}, {\"weight\": 2990, \"source\": 4, \"target\": 8}, {\"weight\": 17432, \"source\": 4, \"target\": 7}, {\"weight\": 13140, \"source\": 4, \"target\": 6}, {\"weight\": 16502, \"source\": 4, \"target\": 5}, {\"weight\": 18195, \"source\": 5, \"target\": 8}, {\"weight\": 9682, \"source\": 5, \"target\": 7}, {\"weight\": 8715, \"source\": 5, \"target\": 6}, {\"weight\": 14370, \"source\": 6, \"target\": 8}, {\"weight\": 6642, \"source\": 6, \"target\": 7}, {\"weight\": 15226, \"source\": 7, \"target\": 8}]}",
"id": 970,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJJ, RMA, YWK, AHO, MGA, PPP, TOY, CMB, ANU\n- Travel distances (in kilometers) between each pair of airports:\nSJJ to YWK: 6618\nSJJ to ANU: 8171\nSJJ to MGA: 10356\nSJJ to CMB: 7206\nSJJ to AHO: 1173\nSJJ to TOY: 9459\nSJJ to PPP: 16572\nSJJ to RMA: 15799\nRMA to YWK: 16877\nRMA to ANU: 17740\nRMA to MGA: 16047\nRMA to CMB: 8942\nRMA to AHO: 16623\nRMA to TOY: 8260\nRMA to PPP: 1335\nYWK to ANU: 4342\nYWK to MGA: 4855\nYWK to CMB: 13694\nYWK to AHO: 6408\nYWK to TOY: 12467\nYWK to PPP: 17332\nAHO to ANU: 7952\nAHO to MGA: 9745\nAHO to CMB: 7983\nAHO to TOY: 10269\nAHO to PPP: 17386\nMGA to ANU: 2990\nMGA to CMB: 17432\nMGA to TOY: 13140\nMGA to PPP: 16502\nPPP to ANU: 18195\nPPP to CMB: 9682\nPPP to TOY: 8715\nTOY to ANU: 14370\nTOY to CMB: 6642\nCMB to ANU: 15226\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RXS, CKB, UMD, MCY, OSI, SDR, OOL, VCS, IAN\n- Travel distances (in kilometers) between each pair of airports:\nRXS to IAN: 14342\nRXS to OOL: 6499\nRXS to SDR: 11910\nRXS to OSI: 10713\nRXS to CKB: 14396\nRXS to UMD: 13933\nRXS to MCY: 7473\nRXS to VCS: 2222\nCKB to IAN: 6715\nCKB to OOL: 16600\nCKB to SDR: 6697\nCKB to OSI: 7708\nCKB to UMD: 6897\nCKB to MCY: 16768\nCKB to VCS: 14990\nUMD to IAN: 11270\nUMD to OOL: 19466\nUMD to SDR: 4929\nUMD to OSI: 5213\nUMD to MCY: 20643\nUMD to VCS: 13357\nMCY to IAN: 14453\nMCY to OOL: 1516\nMCY to SDR: 18482\nMCY to OSI: 17151\nMCY to VCS: 7920\nOSI to IAN: 12444\nOSI to OOL: 16246\nOSI to SDR: 1982\nOSI to VCS: 9762\nSDR to IAN: 11877\nSDR to OOL: 17444\nSDR to VCS: 11093\nOOL to IAN: 14151\nOOL to VCS: 7543\nVCS to IAN: 15469\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54975,
"style": "rule"
}
|
{
"exact_answer": 54975,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RXS\", \"id\": 0}, {\"name\": \"CKB\", \"id\": 1}, {\"name\": \"UMD\", \"id\": 2}, {\"name\": \"MCY\", \"id\": 3}, {\"name\": \"OSI\", \"id\": 4}, {\"name\": \"SDR\", \"id\": 5}, {\"name\": \"OOL\", \"id\": 6}, {\"name\": \"VCS\", \"id\": 7}, {\"name\": \"IAN\", \"id\": 8}], \"links\": [{\"weight\": 14342, \"source\": 0, \"target\": 8}, {\"weight\": 6499, \"source\": 0, \"target\": 6}, {\"weight\": 11910, \"source\": 0, \"target\": 5}, {\"weight\": 10713, \"source\": 0, \"target\": 4}, {\"weight\": 14396, \"source\": 0, \"target\": 1}, {\"weight\": 13933, \"source\": 0, \"target\": 2}, {\"weight\": 7473, \"source\": 0, \"target\": 3}, {\"weight\": 2222, \"source\": 0, \"target\": 7}, {\"weight\": 6715, \"source\": 1, \"target\": 8}, {\"weight\": 16600, \"source\": 1, \"target\": 6}, {\"weight\": 6697, \"source\": 1, \"target\": 5}, {\"weight\": 7708, \"source\": 1, \"target\": 4}, {\"weight\": 6897, \"source\": 1, \"target\": 2}, {\"weight\": 16768, \"source\": 1, \"target\": 3}, {\"weight\": 14990, \"source\": 1, \"target\": 7}, {\"weight\": 11270, \"source\": 2, \"target\": 8}, {\"weight\": 19466, \"source\": 2, \"target\": 6}, {\"weight\": 4929, \"source\": 2, \"target\": 5}, {\"weight\": 5213, \"source\": 2, \"target\": 4}, {\"weight\": 20643, \"source\": 2, \"target\": 3}, {\"weight\": 13357, \"source\": 2, \"target\": 7}, {\"weight\": 14453, \"source\": 3, \"target\": 8}, {\"weight\": 1516, \"source\": 3, \"target\": 6}, {\"weight\": 18482, \"source\": 3, \"target\": 5}, {\"weight\": 17151, \"source\": 3, \"target\": 4}, {\"weight\": 7920, \"source\": 3, \"target\": 7}, {\"weight\": 12444, \"source\": 4, \"target\": 8}, {\"weight\": 16246, \"source\": 4, \"target\": 6}, {\"weight\": 1982, \"source\": 4, \"target\": 5}, {\"weight\": 9762, \"source\": 4, \"target\": 7}, {\"weight\": 11877, \"source\": 5, \"target\": 8}, {\"weight\": 17444, \"source\": 5, \"target\": 6}, {\"weight\": 11093, \"source\": 5, \"target\": 7}, {\"weight\": 14151, \"source\": 6, \"target\": 8}, {\"weight\": 7543, \"source\": 6, \"target\": 7}, {\"weight\": 15469, \"source\": 7, \"target\": 8}]}",
"id": 971,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RXS, CKB, UMD, MCY, OSI, SDR, OOL, VCS, IAN\n- Travel distances (in kilometers) between each pair of airports:\nRXS to IAN: 14342\nRXS to OOL: 6499\nRXS to SDR: 11910\nRXS to OSI: 10713\nRXS to CKB: 14396\nRXS to UMD: 13933\nRXS to MCY: 7473\nRXS to VCS: 2222\nCKB to IAN: 6715\nCKB to OOL: 16600\nCKB to SDR: 6697\nCKB to OSI: 7708\nCKB to UMD: 6897\nCKB to MCY: 16768\nCKB to VCS: 14990\nUMD to IAN: 11270\nUMD to OOL: 19466\nUMD to SDR: 4929\nUMD to OSI: 5213\nUMD to MCY: 20643\nUMD to VCS: 13357\nMCY to IAN: 14453\nMCY to OOL: 1516\nMCY to SDR: 18482\nMCY to OSI: 17151\nMCY to VCS: 7920\nOSI to IAN: 12444\nOSI to OOL: 16246\nOSI to SDR: 1982\nOSI to VCS: 9762\nSDR to IAN: 11877\nSDR to OOL: 17444\nSDR to VCS: 11093\nOOL to IAN: 14151\nOOL to VCS: 7543\nVCS to IAN: 15469\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, WHK, LMT, QOW, NRL, AEB, NDB, KLR, PIU\n- Travel distances (in kilometers) between each pair of airports:\nBAL to KLR: 3637\nBAL to AEB: 8245\nBAL to NDB: 6169\nBAL to PIU: 14195\nBAL to NRL: 4232\nBAL to WHK: 17670\nBAL to LMT: 11650\nBAL to QOW: 5679\nWHK to KLR: 17595\nWHK to AEB: 10159\nWHK to NDB: 18869\nWHK to PIU: 13176\nWHK to NRL: 18724\nWHK to LMT: 11228\nWHK to QOW: 18353\nLMT to KLR: 8891\nLMT to AEB: 11350\nLMT to NDB: 10601\nLMT to PIU: 8620\nLMT to NRL: 8150\nLMT to QOW: 13217\nQOW to KLR: 6526\nQOW to AEB: 11484\nQOW to NDB: 3240\nQOW to PIU: 11117\nQOW to NRL: 6068\nNRL to KLR: 1792\nNRL to AEB: 9237\nNRL to NDB: 4429\nNRL to PIU: 11820\nAEB to KLR: 8108\nAEB to NDB: 12684\nAEB to PIU: 19581\nNDB to KLR: 5424\nNDB to PIU: 10128\nKLR to PIU: 12822\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62467,
"style": "rule"
}
|
{
"exact_answer": 62467,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BAL\", \"id\": 0}, {\"name\": \"WHK\", \"id\": 1}, {\"name\": \"LMT\", \"id\": 2}, {\"name\": \"QOW\", \"id\": 3}, {\"name\": \"NRL\", \"id\": 4}, {\"name\": \"AEB\", \"id\": 5}, {\"name\": \"NDB\", \"id\": 6}, {\"name\": \"KLR\", \"id\": 7}, {\"name\": \"PIU\", \"id\": 8}], \"links\": [{\"weight\": 3637, \"source\": 0, \"target\": 7}, {\"weight\": 8245, \"source\": 0, \"target\": 5}, {\"weight\": 6169, \"source\": 0, \"target\": 6}, {\"weight\": 14195, \"source\": 0, \"target\": 8}, {\"weight\": 4232, \"source\": 0, \"target\": 4}, {\"weight\": 17670, \"source\": 0, \"target\": 1}, {\"weight\": 11650, \"source\": 0, \"target\": 2}, {\"weight\": 5679, \"source\": 0, \"target\": 3}, {\"weight\": 17595, \"source\": 1, \"target\": 7}, {\"weight\": 10159, \"source\": 1, \"target\": 5}, {\"weight\": 18869, \"source\": 1, \"target\": 6}, {\"weight\": 13176, \"source\": 1, \"target\": 8}, {\"weight\": 18724, \"source\": 1, \"target\": 4}, {\"weight\": 11228, \"source\": 1, \"target\": 2}, {\"weight\": 18353, \"source\": 1, \"target\": 3}, {\"weight\": 8891, \"source\": 2, \"target\": 7}, {\"weight\": 11350, \"source\": 2, \"target\": 5}, {\"weight\": 10601, \"source\": 2, \"target\": 6}, {\"weight\": 8620, \"source\": 2, \"target\": 8}, {\"weight\": 8150, \"source\": 2, \"target\": 4}, {\"weight\": 13217, \"source\": 2, \"target\": 3}, {\"weight\": 6526, \"source\": 3, \"target\": 7}, {\"weight\": 11484, \"source\": 3, \"target\": 5}, {\"weight\": 3240, \"source\": 3, \"target\": 6}, {\"weight\": 11117, \"source\": 3, \"target\": 8}, {\"weight\": 6068, \"source\": 3, \"target\": 4}, {\"weight\": 1792, \"source\": 4, \"target\": 7}, {\"weight\": 9237, \"source\": 4, \"target\": 5}, {\"weight\": 4429, \"source\": 4, \"target\": 6}, {\"weight\": 11820, \"source\": 4, \"target\": 8}, {\"weight\": 8108, \"source\": 5, \"target\": 7}, {\"weight\": 12684, \"source\": 5, \"target\": 6}, {\"weight\": 19581, \"source\": 5, \"target\": 8}, {\"weight\": 5424, \"source\": 6, \"target\": 7}, {\"weight\": 10128, \"source\": 6, \"target\": 8}, {\"weight\": 12822, \"source\": 7, \"target\": 8}]}",
"id": 972,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, WHK, LMT, QOW, NRL, AEB, NDB, KLR, PIU\n- Travel distances (in kilometers) between each pair of airports:\nBAL to KLR: 3637\nBAL to AEB: 8245\nBAL to NDB: 6169\nBAL to PIU: 14195\nBAL to NRL: 4232\nBAL to WHK: 17670\nBAL to LMT: 11650\nBAL to QOW: 5679\nWHK to KLR: 17595\nWHK to AEB: 10159\nWHK to NDB: 18869\nWHK to PIU: 13176\nWHK to NRL: 18724\nWHK to LMT: 11228\nWHK to QOW: 18353\nLMT to KLR: 8891\nLMT to AEB: 11350\nLMT to NDB: 10601\nLMT to PIU: 8620\nLMT to NRL: 8150\nLMT to QOW: 13217\nQOW to KLR: 6526\nQOW to AEB: 11484\nQOW to NDB: 3240\nQOW to PIU: 11117\nQOW to NRL: 6068\nNRL to KLR: 1792\nNRL to AEB: 9237\nNRL to NDB: 4429\nNRL to PIU: 11820\nAEB to KLR: 8108\nAEB to NDB: 12684\nAEB to PIU: 19581\nNDB to KLR: 5424\nNDB to PIU: 10128\nKLR to PIU: 12822\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLU, YOL, NTL, ZRH, WLH, SCW, KOW, AOQ, BUD\n- Travel distances (in kilometers) between each pair of airports:\nSLU to ZRH: 7407\nSLU to KOW: 15780\nSLU to BUD: 8172\nSLU to SCW: 10114\nSLU to AOQ: 9596\nSLU to NTL: 17227\nSLU to WLH: 16364\nSLU to YOL: 10232\nYOL to ZRH: 5175\nYOL to KOW: 11913\nYOL to BUD: 5693\nYOL to SCW: 7470\nYOL to AOQ: 9651\nYOL to NTL: 16291\nYOL to WLH: 18918\nNTL to ZRH: 16708\nNTL to KOW: 7912\nNTL to BUD: 15933\nNTL to SCW: 14152\nNTL to AOQ: 20203\nNTL to WLH: 2629\nZRH to BUD: 804\nZRH to KOW: 9176\nZRH to SCW: 3098\nZRH to AOQ: 5047\nZRH to WLH: 17353\nWLH to KOW: 8447\nWLH to BUD: 16752\nWLH to SCW: 14691\nWLH to AOQ: 18892\nSCW to KOW: 6704\nSCW to BUD: 2556\nSCW to AOQ: 6291\nKOW to BUD: 8557\nKOW to AOQ: 12534\nAOQ to BUD: 5146\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61257,
"style": "rule"
}
|
{
"exact_answer": 61257,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLU\", \"id\": 0}, {\"name\": \"YOL\", \"id\": 1}, {\"name\": \"NTL\", \"id\": 2}, {\"name\": \"ZRH\", \"id\": 3}, {\"name\": \"WLH\", \"id\": 4}, {\"name\": \"SCW\", \"id\": 5}, {\"name\": \"KOW\", \"id\": 6}, {\"name\": \"AOQ\", \"id\": 7}, {\"name\": \"BUD\", \"id\": 8}], \"links\": [{\"weight\": 7407, \"source\": 0, \"target\": 3}, {\"weight\": 15780, \"source\": 0, \"target\": 6}, {\"weight\": 8172, \"source\": 0, \"target\": 8}, {\"weight\": 10114, \"source\": 0, \"target\": 5}, {\"weight\": 9596, \"source\": 0, \"target\": 7}, {\"weight\": 17227, \"source\": 0, \"target\": 2}, {\"weight\": 16364, \"source\": 0, \"target\": 4}, {\"weight\": 10232, \"source\": 0, \"target\": 1}, {\"weight\": 5175, \"source\": 1, \"target\": 3}, {\"weight\": 11913, \"source\": 1, \"target\": 6}, {\"weight\": 5693, \"source\": 1, \"target\": 8}, {\"weight\": 7470, \"source\": 1, \"target\": 5}, {\"weight\": 9651, \"source\": 1, \"target\": 7}, {\"weight\": 16291, \"source\": 1, \"target\": 2}, {\"weight\": 18918, \"source\": 1, \"target\": 4}, {\"weight\": 16708, \"source\": 2, \"target\": 3}, {\"weight\": 7912, \"source\": 2, \"target\": 6}, {\"weight\": 15933, \"source\": 2, \"target\": 8}, {\"weight\": 14152, \"source\": 2, \"target\": 5}, {\"weight\": 20203, \"source\": 2, \"target\": 7}, {\"weight\": 2629, \"source\": 2, \"target\": 4}, {\"weight\": 804, \"source\": 3, \"target\": 8}, {\"weight\": 9176, \"source\": 3, \"target\": 6}, {\"weight\": 3098, \"source\": 3, \"target\": 5}, {\"weight\": 5047, \"source\": 3, \"target\": 7}, {\"weight\": 17353, \"source\": 3, \"target\": 4}, {\"weight\": 8447, \"source\": 4, \"target\": 6}, {\"weight\": 16752, \"source\": 4, \"target\": 8}, {\"weight\": 14691, \"source\": 4, \"target\": 5}, {\"weight\": 18892, \"source\": 4, \"target\": 7}, {\"weight\": 6704, \"source\": 5, \"target\": 6}, {\"weight\": 2556, \"source\": 5, \"target\": 8}, {\"weight\": 6291, \"source\": 5, \"target\": 7}, {\"weight\": 8557, \"source\": 6, \"target\": 8}, {\"weight\": 12534, \"source\": 6, \"target\": 7}, {\"weight\": 5146, \"source\": 7, \"target\": 8}]}",
"id": 973,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLU, YOL, NTL, ZRH, WLH, SCW, KOW, AOQ, BUD\n- Travel distances (in kilometers) between each pair of airports:\nSLU to ZRH: 7407\nSLU to KOW: 15780\nSLU to BUD: 8172\nSLU to SCW: 10114\nSLU to AOQ: 9596\nSLU to NTL: 17227\nSLU to WLH: 16364\nSLU to YOL: 10232\nYOL to ZRH: 5175\nYOL to KOW: 11913\nYOL to BUD: 5693\nYOL to SCW: 7470\nYOL to AOQ: 9651\nYOL to NTL: 16291\nYOL to WLH: 18918\nNTL to ZRH: 16708\nNTL to KOW: 7912\nNTL to BUD: 15933\nNTL to SCW: 14152\nNTL to AOQ: 20203\nNTL to WLH: 2629\nZRH to BUD: 804\nZRH to KOW: 9176\nZRH to SCW: 3098\nZRH to AOQ: 5047\nZRH to WLH: 17353\nWLH to KOW: 8447\nWLH to BUD: 16752\nWLH to SCW: 14691\nWLH to AOQ: 18892\nSCW to KOW: 6704\nSCW to BUD: 2556\nSCW to AOQ: 6291\nKOW to BUD: 8557\nKOW to AOQ: 12534\nAOQ to BUD: 5146\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZIH, PEI, YGX, WLS, CIA, OSY, DUR, SBY, MAM\n- Travel distances (in kilometers) between each pair of airports:\nZIH to SBY: 3417\nZIH to MAM: 1046\nZIH to PEI: 3356\nZIH to DUR: 15698\nZIH to CIA: 10659\nZIH to YGX: 4547\nZIH to WLS: 12215\nZIH to OSY: 9489\nPEI to SBY: 4126\nPEI to MAM: 3754\nPEI to DUR: 12453\nPEI to CIA: 9565\nPEI to YGX: 6223\nPEI to WLS: 15203\nPEI to OSY: 10035\nYGX to SBY: 2968\nYGX to MAM: 4974\nYGX to DUR: 16160\nYGX to CIA: 9189\nYGX to WLS: 12904\nYGX to OSY: 8159\nWLS to SBY: 13743\nWLS to MAM: 12958\nWLS to DUR: 15541\nWLS to CIA: 17942\nWLS to OSY: 17061\nCIA to SBY: 7292\nCIA to MAM: 11057\nCIA to DUR: 8931\nCIA to OSY: 2551\nOSY to SBY: 6224\nOSY to MAM: 9887\nOSY to DUR: 10742\nDUR to SBY: 13653\nDUR to MAM: 16096\nSBY to MAM: 3815\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59291,
"style": "rule"
}
|
{
"exact_answer": 59291,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZIH\", \"id\": 0}, {\"name\": \"PEI\", \"id\": 1}, {\"name\": \"YGX\", \"id\": 2}, {\"name\": \"WLS\", \"id\": 3}, {\"name\": \"CIA\", \"id\": 4}, {\"name\": \"OSY\", \"id\": 5}, {\"name\": \"DUR\", \"id\": 6}, {\"name\": \"SBY\", \"id\": 7}, {\"name\": \"MAM\", \"id\": 8}], \"links\": [{\"weight\": 3417, \"source\": 0, \"target\": 7}, {\"weight\": 1046, \"source\": 0, \"target\": 8}, {\"weight\": 3356, \"source\": 0, \"target\": 1}, {\"weight\": 15698, \"source\": 0, \"target\": 6}, {\"weight\": 10659, \"source\": 0, \"target\": 4}, {\"weight\": 4547, \"source\": 0, \"target\": 2}, {\"weight\": 12215, \"source\": 0, \"target\": 3}, {\"weight\": 9489, \"source\": 0, \"target\": 5}, {\"weight\": 4126, \"source\": 1, \"target\": 7}, {\"weight\": 3754, \"source\": 1, \"target\": 8}, {\"weight\": 12453, \"source\": 1, \"target\": 6}, {\"weight\": 9565, \"source\": 1, \"target\": 4}, {\"weight\": 6223, \"source\": 1, \"target\": 2}, {\"weight\": 15203, \"source\": 1, \"target\": 3}, {\"weight\": 10035, \"source\": 1, \"target\": 5}, {\"weight\": 2968, \"source\": 2, \"target\": 7}, {\"weight\": 4974, \"source\": 2, \"target\": 8}, {\"weight\": 16160, \"source\": 2, \"target\": 6}, {\"weight\": 9189, \"source\": 2, \"target\": 4}, {\"weight\": 12904, \"source\": 2, \"target\": 3}, {\"weight\": 8159, \"source\": 2, \"target\": 5}, {\"weight\": 13743, \"source\": 3, \"target\": 7}, {\"weight\": 12958, \"source\": 3, \"target\": 8}, {\"weight\": 15541, \"source\": 3, \"target\": 6}, {\"weight\": 17942, \"source\": 3, \"target\": 4}, {\"weight\": 17061, \"source\": 3, \"target\": 5}, {\"weight\": 7292, \"source\": 4, \"target\": 7}, {\"weight\": 11057, \"source\": 4, \"target\": 8}, {\"weight\": 8931, \"source\": 4, \"target\": 6}, {\"weight\": 2551, \"source\": 4, \"target\": 5}, {\"weight\": 6224, \"source\": 5, \"target\": 7}, {\"weight\": 9887, \"source\": 5, \"target\": 8}, {\"weight\": 10742, \"source\": 5, \"target\": 6}, {\"weight\": 13653, \"source\": 6, \"target\": 7}, {\"weight\": 16096, \"source\": 6, \"target\": 8}, {\"weight\": 3815, \"source\": 7, \"target\": 8}]}",
"id": 974,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZIH, PEI, YGX, WLS, CIA, OSY, DUR, SBY, MAM\n- Travel distances (in kilometers) between each pair of airports:\nZIH to SBY: 3417\nZIH to MAM: 1046\nZIH to PEI: 3356\nZIH to DUR: 15698\nZIH to CIA: 10659\nZIH to YGX: 4547\nZIH to WLS: 12215\nZIH to OSY: 9489\nPEI to SBY: 4126\nPEI to MAM: 3754\nPEI to DUR: 12453\nPEI to CIA: 9565\nPEI to YGX: 6223\nPEI to WLS: 15203\nPEI to OSY: 10035\nYGX to SBY: 2968\nYGX to MAM: 4974\nYGX to DUR: 16160\nYGX to CIA: 9189\nYGX to WLS: 12904\nYGX to OSY: 8159\nWLS to SBY: 13743\nWLS to MAM: 12958\nWLS to DUR: 15541\nWLS to CIA: 17942\nWLS to OSY: 17061\nCIA to SBY: 7292\nCIA to MAM: 11057\nCIA to DUR: 8931\nCIA to OSY: 2551\nOSY to SBY: 6224\nOSY to MAM: 9887\nOSY to DUR: 10742\nDUR to SBY: 13653\nDUR to MAM: 16096\nSBY to MAM: 3815\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PZI, CJS, KZI, ANC, LAQ, BGI, LUG, SDP\n- Travel distances (in kilometers) between each pair of airports:\nCGH to PZI: 17548\nCGH to CJS: 9074\nCGH to ANC: 13101\nCGH to BGI: 4772\nCGH to SDP: 13995\nCGH to LUG: 9638\nCGH to KZI: 10891\nCGH to LAQ: 10396\nPZI to CJS: 13494\nPZI to ANC: 13055\nPZI to BGI: 15525\nPZI to SDP: 13949\nPZI to LUG: 8639\nPZI to KZI: 8152\nPZI to LAQ: 9781\nCJS to ANC: 5117\nCJS to BGI: 5509\nCJS to SDP: 6011\nCJS to LUG: 9854\nCJS to KZI: 11670\nCJS to LAQ: 11663\nKZI to ANC: 12655\nKZI to BGI: 9468\nKZI to SDP: 13549\nKZI to LUG: 2120\nKZI to LAQ: 2387\nANC to SDP: 894\nANC to BGI: 8790\nANC to LUG: 10931\nANC to LAQ: 13018\nLAQ to BGI: 9710\nLAQ to SDP: 13912\nLAQ to LUG: 2476\nBGI to SDP: 9684\nBGI to LUG: 7676\nLUG to SDP: 11825\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52894,
"style": "rule"
}
|
{
"exact_answer": 52894,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGH\", \"id\": 0}, {\"name\": \"PZI\", \"id\": 1}, {\"name\": \"CJS\", \"id\": 2}, {\"name\": \"KZI\", \"id\": 3}, {\"name\": \"ANC\", \"id\": 4}, {\"name\": \"LAQ\", \"id\": 5}, {\"name\": \"BGI\", \"id\": 6}, {\"name\": \"LUG\", \"id\": 7}, {\"name\": \"SDP\", \"id\": 8}], \"links\": [{\"weight\": 17548, \"source\": 0, \"target\": 1}, {\"weight\": 9074, \"source\": 0, \"target\": 2}, {\"weight\": 13101, \"source\": 0, \"target\": 4}, {\"weight\": 4772, \"source\": 0, \"target\": 6}, {\"weight\": 13995, \"source\": 0, \"target\": 8}, {\"weight\": 9638, \"source\": 0, \"target\": 7}, {\"weight\": 10891, \"source\": 0, \"target\": 3}, {\"weight\": 10396, \"source\": 0, \"target\": 5}, {\"weight\": 13494, \"source\": 1, \"target\": 2}, {\"weight\": 13055, \"source\": 1, \"target\": 4}, {\"weight\": 15525, \"source\": 1, \"target\": 6}, {\"weight\": 13949, \"source\": 1, \"target\": 8}, {\"weight\": 8639, \"source\": 1, \"target\": 7}, {\"weight\": 8152, \"source\": 1, \"target\": 3}, {\"weight\": 9781, \"source\": 1, \"target\": 5}, {\"weight\": 5117, \"source\": 2, \"target\": 4}, {\"weight\": 5509, \"source\": 2, \"target\": 6}, {\"weight\": 6011, \"source\": 2, \"target\": 8}, {\"weight\": 9854, \"source\": 2, \"target\": 7}, {\"weight\": 11670, \"source\": 2, \"target\": 3}, {\"weight\": 11663, \"source\": 2, \"target\": 5}, {\"weight\": 12655, \"source\": 3, \"target\": 4}, {\"weight\": 9468, \"source\": 3, \"target\": 6}, {\"weight\": 13549, \"source\": 3, \"target\": 8}, {\"weight\": 2120, \"source\": 3, \"target\": 7}, {\"weight\": 2387, \"source\": 3, \"target\": 5}, {\"weight\": 894, \"source\": 4, \"target\": 8}, {\"weight\": 8790, \"source\": 4, \"target\": 6}, {\"weight\": 10931, \"source\": 4, \"target\": 7}, {\"weight\": 13018, \"source\": 4, \"target\": 5}, {\"weight\": 9710, \"source\": 5, \"target\": 6}, {\"weight\": 13912, \"source\": 5, \"target\": 8}, {\"weight\": 2476, \"source\": 5, \"target\": 7}, {\"weight\": 9684, \"source\": 6, \"target\": 8}, {\"weight\": 7676, \"source\": 6, \"target\": 7}, {\"weight\": 11825, \"source\": 7, \"target\": 8}]}",
"id": 975,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PZI, CJS, KZI, ANC, LAQ, BGI, LUG, SDP\n- Travel distances (in kilometers) between each pair of airports:\nCGH to PZI: 17548\nCGH to CJS: 9074\nCGH to ANC: 13101\nCGH to BGI: 4772\nCGH to SDP: 13995\nCGH to LUG: 9638\nCGH to KZI: 10891\nCGH to LAQ: 10396\nPZI to CJS: 13494\nPZI to ANC: 13055\nPZI to BGI: 15525\nPZI to SDP: 13949\nPZI to LUG: 8639\nPZI to KZI: 8152\nPZI to LAQ: 9781\nCJS to ANC: 5117\nCJS to BGI: 5509\nCJS to SDP: 6011\nCJS to LUG: 9854\nCJS to KZI: 11670\nCJS to LAQ: 11663\nKZI to ANC: 12655\nKZI to BGI: 9468\nKZI to SDP: 13549\nKZI to LUG: 2120\nKZI to LAQ: 2387\nANC to SDP: 894\nANC to BGI: 8790\nANC to LUG: 10931\nANC to LAQ: 13018\nLAQ to BGI: 9710\nLAQ to SDP: 13912\nLAQ to LUG: 2476\nBGI to SDP: 9684\nBGI to LUG: 7676\nLUG to SDP: 11825\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: POM, MCK, YRL, KSY, YRT, XGR, YQL, FLS, KSQ\n- Travel distances (in kilometers) between each pair of airports:\nPOM to XGR: 16586\nPOM to KSQ: 10259\nPOM to YRT: 15419\nPOM to YQL: 13208\nPOM to YRL: 14488\nPOM to FLS: 3805\nPOM to KSY: 13723\nPOM to MCK: 14014\nMCK to XGR: 3982\nMCK to KSQ: 12221\nMCK to YRT: 3076\nMCK to YQL: 1980\nMCK to YRL: 1884\nMCK to FLS: 14881\nMCK to KSY: 11415\nYRL to XGR: 2648\nYRL to KSQ: 11666\nYRL to YRT: 1742\nYRL to YQL: 1652\nYRL to FLS: 15725\nYRL to KSY: 10733\nKSY to XGR: 9431\nKSY to KSQ: 4322\nKSY to YRT: 11078\nKSY to YQL: 10692\nKSY to FLS: 15806\nYRT to XGR: 1961\nYRT to KSQ: 12684\nYRT to YQL: 2583\nYRT to FLS: 16550\nXGR to KSQ: 11037\nXGR to YQL: 3750\nXGR to FLS: 17823\nYQL to KSQ: 11498\nYQL to FLS: 14459\nFLS to KSQ: 12703\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49843,
"style": "rule"
}
|
{
"exact_answer": 49843,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"POM\", \"id\": 0}, {\"name\": \"MCK\", \"id\": 1}, {\"name\": \"YRL\", \"id\": 2}, {\"name\": \"KSY\", \"id\": 3}, {\"name\": \"YRT\", \"id\": 4}, {\"name\": \"XGR\", \"id\": 5}, {\"name\": \"YQL\", \"id\": 6}, {\"name\": \"FLS\", \"id\": 7}, {\"name\": \"KSQ\", \"id\": 8}], \"links\": [{\"weight\": 16586, \"source\": 0, \"target\": 5}, {\"weight\": 10259, \"source\": 0, \"target\": 8}, {\"weight\": 15419, \"source\": 0, \"target\": 4}, {\"weight\": 13208, \"source\": 0, \"target\": 6}, {\"weight\": 14488, \"source\": 0, \"target\": 2}, {\"weight\": 3805, \"source\": 0, \"target\": 7}, {\"weight\": 13723, \"source\": 0, \"target\": 3}, {\"weight\": 14014, \"source\": 0, \"target\": 1}, {\"weight\": 3982, \"source\": 1, \"target\": 5}, {\"weight\": 12221, \"source\": 1, \"target\": 8}, {\"weight\": 3076, \"source\": 1, \"target\": 4}, {\"weight\": 1980, \"source\": 1, \"target\": 6}, {\"weight\": 1884, \"source\": 1, \"target\": 2}, {\"weight\": 14881, \"source\": 1, \"target\": 7}, {\"weight\": 11415, \"source\": 1, \"target\": 3}, {\"weight\": 2648, \"source\": 2, \"target\": 5}, {\"weight\": 11666, \"source\": 2, \"target\": 8}, {\"weight\": 1742, \"source\": 2, \"target\": 4}, {\"weight\": 1652, \"source\": 2, \"target\": 6}, {\"weight\": 15725, \"source\": 2, \"target\": 7}, {\"weight\": 10733, \"source\": 2, \"target\": 3}, {\"weight\": 9431, \"source\": 3, \"target\": 5}, {\"weight\": 4322, \"source\": 3, \"target\": 8}, {\"weight\": 11078, \"source\": 3, \"target\": 4}, {\"weight\": 10692, \"source\": 3, \"target\": 6}, {\"weight\": 15806, \"source\": 3, \"target\": 7}, {\"weight\": 1961, \"source\": 4, \"target\": 5}, {\"weight\": 12684, \"source\": 4, \"target\": 8}, {\"weight\": 2583, \"source\": 4, \"target\": 6}, {\"weight\": 16550, \"source\": 4, \"target\": 7}, {\"weight\": 11037, \"source\": 5, \"target\": 8}, {\"weight\": 3750, \"source\": 5, \"target\": 6}, {\"weight\": 17823, \"source\": 5, \"target\": 7}, {\"weight\": 11498, \"source\": 6, \"target\": 8}, {\"weight\": 14459, \"source\": 6, \"target\": 7}, {\"weight\": 12703, \"source\": 7, \"target\": 8}]}",
"id": 976,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: POM, MCK, YRL, KSY, YRT, XGR, YQL, FLS, KSQ\n- Travel distances (in kilometers) between each pair of airports:\nPOM to XGR: 16586\nPOM to KSQ: 10259\nPOM to YRT: 15419\nPOM to YQL: 13208\nPOM to YRL: 14488\nPOM to FLS: 3805\nPOM to KSY: 13723\nPOM to MCK: 14014\nMCK to XGR: 3982\nMCK to KSQ: 12221\nMCK to YRT: 3076\nMCK to YQL: 1980\nMCK to YRL: 1884\nMCK to FLS: 14881\nMCK to KSY: 11415\nYRL to XGR: 2648\nYRL to KSQ: 11666\nYRL to YRT: 1742\nYRL to YQL: 1652\nYRL to FLS: 15725\nYRL to KSY: 10733\nKSY to XGR: 9431\nKSY to KSQ: 4322\nKSY to YRT: 11078\nKSY to YQL: 10692\nKSY to FLS: 15806\nYRT to XGR: 1961\nYRT to KSQ: 12684\nYRT to YQL: 2583\nYRT to FLS: 16550\nXGR to KSQ: 11037\nXGR to YQL: 3750\nXGR to FLS: 17823\nYQL to KSQ: 11498\nYQL to FLS: 14459\nFLS to KSQ: 12703\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RNA, FMA, AOO, LGW, ITO, CTL, ORI, HFS, LWS\n- Travel distances (in kilometers) between each pair of airports:\nRNA to ORI: 12319\nRNA to LGW: 16323\nRNA to FMA: 15462\nRNA to LWS: 12140\nRNA to ITO: 7762\nRNA to CTL: 3029\nRNA to AOO: 15039\nRNA to HFS: 15137\nFMA to ORI: 14840\nFMA to LGW: 12080\nFMA to LWS: 11822\nFMA to ITO: 14754\nFMA to CTL: 14703\nFMA to AOO: 9799\nFMA to HFS: 13785\nAOO to ORI: 6098\nAOO to LGW: 6098\nAOO to LWS: 3736\nAOO to ITO: 7777\nAOO to CTL: 16061\nAOO to HFS: 7048\nLGW to ORI: 10502\nLGW to LWS: 8165\nLGW to ITO: 12113\nLGW to CTL: 16593\nLGW to HFS: 1719\nITO to ORI: 5253\nITO to LWS: 4861\nITO to CTL: 8588\nITO to HFS: 12612\nCTL to ORI: 13145\nCTL to LWS: 12966\nCTL to HFS: 15410\nORI to LWS: 3175\nORI to HFS: 10954\nHFS to LWS: 8617\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58505,
"style": "rule"
}
|
{
"exact_answer": 58505,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RNA\", \"id\": 0}, {\"name\": \"FMA\", \"id\": 1}, {\"name\": \"AOO\", \"id\": 2}, {\"name\": \"LGW\", \"id\": 3}, {\"name\": \"ITO\", \"id\": 4}, {\"name\": \"CTL\", \"id\": 5}, {\"name\": \"ORI\", \"id\": 6}, {\"name\": \"HFS\", \"id\": 7}, {\"name\": \"LWS\", \"id\": 8}], \"links\": [{\"weight\": 12319, \"source\": 0, \"target\": 6}, {\"weight\": 16323, \"source\": 0, \"target\": 3}, {\"weight\": 15462, \"source\": 0, \"target\": 1}, {\"weight\": 12140, \"source\": 0, \"target\": 8}, {\"weight\": 7762, \"source\": 0, \"target\": 4}, {\"weight\": 3029, \"source\": 0, \"target\": 5}, {\"weight\": 15039, \"source\": 0, \"target\": 2}, {\"weight\": 15137, \"source\": 0, \"target\": 7}, {\"weight\": 14840, \"source\": 1, \"target\": 6}, {\"weight\": 12080, \"source\": 1, \"target\": 3}, {\"weight\": 11822, \"source\": 1, \"target\": 8}, {\"weight\": 14754, \"source\": 1, \"target\": 4}, {\"weight\": 14703, \"source\": 1, \"target\": 5}, {\"weight\": 9799, \"source\": 1, \"target\": 2}, {\"weight\": 13785, \"source\": 1, \"target\": 7}, {\"weight\": 6098, \"source\": 2, \"target\": 6}, {\"weight\": 6098, \"source\": 2, \"target\": 3}, {\"weight\": 3736, \"source\": 2, \"target\": 8}, {\"weight\": 7777, \"source\": 2, \"target\": 4}, {\"weight\": 16061, \"source\": 2, \"target\": 5}, {\"weight\": 7048, \"source\": 2, \"target\": 7}, {\"weight\": 10502, \"source\": 3, \"target\": 6}, {\"weight\": 8165, \"source\": 3, \"target\": 8}, {\"weight\": 12113, \"source\": 3, \"target\": 4}, {\"weight\": 16593, \"source\": 3, \"target\": 5}, {\"weight\": 1719, \"source\": 3, \"target\": 7}, {\"weight\": 5253, \"source\": 4, \"target\": 6}, {\"weight\": 4861, \"source\": 4, \"target\": 8}, {\"weight\": 8588, \"source\": 4, \"target\": 5}, {\"weight\": 12612, \"source\": 4, \"target\": 7}, {\"weight\": 13145, \"source\": 5, \"target\": 6}, {\"weight\": 12966, \"source\": 5, \"target\": 8}, {\"weight\": 15410, \"source\": 5, \"target\": 7}, {\"weight\": 3175, \"source\": 6, \"target\": 8}, {\"weight\": 10954, \"source\": 6, \"target\": 7}, {\"weight\": 8617, \"source\": 7, \"target\": 8}]}",
"id": 977,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RNA, FMA, AOO, LGW, ITO, CTL, ORI, HFS, LWS\n- Travel distances (in kilometers) between each pair of airports:\nRNA to ORI: 12319\nRNA to LGW: 16323\nRNA to FMA: 15462\nRNA to LWS: 12140\nRNA to ITO: 7762\nRNA to CTL: 3029\nRNA to AOO: 15039\nRNA to HFS: 15137\nFMA to ORI: 14840\nFMA to LGW: 12080\nFMA to LWS: 11822\nFMA to ITO: 14754\nFMA to CTL: 14703\nFMA to AOO: 9799\nFMA to HFS: 13785\nAOO to ORI: 6098\nAOO to LGW: 6098\nAOO to LWS: 3736\nAOO to ITO: 7777\nAOO to CTL: 16061\nAOO to HFS: 7048\nLGW to ORI: 10502\nLGW to LWS: 8165\nLGW to ITO: 12113\nLGW to CTL: 16593\nLGW to HFS: 1719\nITO to ORI: 5253\nITO to LWS: 4861\nITO to CTL: 8588\nITO to HFS: 12612\nCTL to ORI: 13145\nCTL to LWS: 12966\nCTL to HFS: 15410\nORI to LWS: 3175\nORI to HFS: 10954\nHFS to LWS: 8617\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MUA, IND, UGC, LCR, IPT, NKG, YOP, DAB\n- Travel distances (in kilometers) between each pair of airports:\nPPQ to NKG: 10087\nPPQ to YOP: 13282\nPPQ to LCR: 15131\nPPQ to DAB: 14633\nPPQ to IND: 13831\nPPQ to IPT: 14982\nPPQ to UGC: 15025\nPPQ to MUA: 4282\nMUA to NKG: 7593\nMUA to YOP: 13370\nMUA to LCR: 17709\nMUA to DAB: 15027\nMUA to IND: 14225\nMUA to IPT: 15376\nMUA to UGC: 12310\nIND to NKG: 11745\nIND to YOP: 3231\nIND to LCR: 4874\nIND to DAB: 1285\nIND to IPT: 1151\nIND to UGC: 10511\nUGC to NKG: 5280\nUGC to YOP: 11236\nUGC to LCR: 13943\nUGC to DAB: 11317\nUGC to IPT: 10147\nLCR to NKG: 16612\nLCR to YOP: 7999\nLCR to DAB: 4773\nLCR to IPT: 5042\nIPT to NKG: 12252\nIPT to YOP: 4133\nIPT to DAB: 1599\nNKG to YOP: 10629\nNKG to DAB: 13017\nYOP to DAB: 4471\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54276,
"style": "rule"
}
|
{
"exact_answer": 54276,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PPQ\", \"id\": 0}, {\"name\": \"MUA\", \"id\": 1}, {\"name\": \"IND\", \"id\": 2}, {\"name\": \"UGC\", \"id\": 3}, {\"name\": \"LCR\", \"id\": 4}, {\"name\": \"IPT\", \"id\": 5}, {\"name\": \"NKG\", \"id\": 6}, {\"name\": \"YOP\", \"id\": 7}, {\"name\": \"DAB\", \"id\": 8}], \"links\": [{\"weight\": 10087, \"source\": 0, \"target\": 6}, {\"weight\": 13282, \"source\": 0, \"target\": 7}, {\"weight\": 15131, \"source\": 0, \"target\": 4}, {\"weight\": 14633, \"source\": 0, \"target\": 8}, {\"weight\": 13831, \"source\": 0, \"target\": 2}, {\"weight\": 14982, \"source\": 0, \"target\": 5}, {\"weight\": 15025, \"source\": 0, \"target\": 3}, {\"weight\": 4282, \"source\": 0, \"target\": 1}, {\"weight\": 7593, \"source\": 1, \"target\": 6}, {\"weight\": 13370, \"source\": 1, \"target\": 7}, {\"weight\": 17709, \"source\": 1, \"target\": 4}, {\"weight\": 15027, \"source\": 1, \"target\": 8}, {\"weight\": 14225, \"source\": 1, \"target\": 2}, {\"weight\": 15376, \"source\": 1, \"target\": 5}, {\"weight\": 12310, \"source\": 1, \"target\": 3}, {\"weight\": 11745, \"source\": 2, \"target\": 6}, {\"weight\": 3231, \"source\": 2, \"target\": 7}, {\"weight\": 4874, \"source\": 2, \"target\": 4}, {\"weight\": 1285, \"source\": 2, \"target\": 8}, {\"weight\": 1151, \"source\": 2, \"target\": 5}, {\"weight\": 10511, \"source\": 2, \"target\": 3}, {\"weight\": 5280, \"source\": 3, \"target\": 6}, {\"weight\": 11236, \"source\": 3, \"target\": 7}, {\"weight\": 13943, \"source\": 3, \"target\": 4}, {\"weight\": 11317, \"source\": 3, \"target\": 8}, {\"weight\": 10147, \"source\": 3, \"target\": 5}, {\"weight\": 16612, \"source\": 4, \"target\": 6}, {\"weight\": 7999, \"source\": 4, \"target\": 7}, {\"weight\": 4773, \"source\": 4, \"target\": 8}, {\"weight\": 5042, \"source\": 4, \"target\": 5}, {\"weight\": 12252, \"source\": 5, \"target\": 6}, {\"weight\": 4133, \"source\": 5, \"target\": 7}, {\"weight\": 1599, \"source\": 5, \"target\": 8}, {\"weight\": 10629, \"source\": 6, \"target\": 7}, {\"weight\": 13017, \"source\": 6, \"target\": 8}, {\"weight\": 4471, \"source\": 7, \"target\": 8}]}",
"id": 978,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MUA, IND, UGC, LCR, IPT, NKG, YOP, DAB\n- Travel distances (in kilometers) between each pair of airports:\nPPQ to NKG: 10087\nPPQ to YOP: 13282\nPPQ to LCR: 15131\nPPQ to DAB: 14633\nPPQ to IND: 13831\nPPQ to IPT: 14982\nPPQ to UGC: 15025\nPPQ to MUA: 4282\nMUA to NKG: 7593\nMUA to YOP: 13370\nMUA to LCR: 17709\nMUA to DAB: 15027\nMUA to IND: 14225\nMUA to IPT: 15376\nMUA to UGC: 12310\nIND to NKG: 11745\nIND to YOP: 3231\nIND to LCR: 4874\nIND to DAB: 1285\nIND to IPT: 1151\nIND to UGC: 10511\nUGC to NKG: 5280\nUGC to YOP: 11236\nUGC to LCR: 13943\nUGC to DAB: 11317\nUGC to IPT: 10147\nLCR to NKG: 16612\nLCR to YOP: 7999\nLCR to DAB: 4773\nLCR to IPT: 5042\nIPT to NKG: 12252\nIPT to YOP: 4133\nIPT to DAB: 1599\nNKG to YOP: 10629\nNKG to DAB: 13017\nYOP to DAB: 4471\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABJ, LSE, LFR, SJK, ABD, FNI, KSU, JQA, NPE\n- Travel distances (in kilometers) between each pair of airports:\nABJ to LSE: 9471\nABJ to SJK: 7340\nABJ to ABD: 7036\nABJ to KSU: 6503\nABJ to FNI: 4756\nABJ to JQA: 9185\nABJ to NPE: 18600\nABJ to LFR: 9341\nLSE to SJK: 9256\nLSE to ABD: 11788\nLSE to KSU: 7006\nLSE to FNI: 7643\nLSE to JQA: 7354\nLSE to NPE: 13472\nLSE to LFR: 5052\nLFR to SJK: 5651\nLFR to ABD: 13060\nLFR to KSU: 9414\nLFR to FNI: 8858\nLFR to JQA: 10204\nLFR to NPE: 15524\nSJK to ABD: 13212\nSJK to KSU: 10854\nSJK to FNI: 9300\nSJK to JQA: 13338\nSJK to NPE: 13215\nABD to KSU: 5398\nABD to FNI: 5600\nABD to JQA: 8568\nABD to NPE: 15482\nFNI to KSU: 2430\nFNI to JQA: 4970\nFNI to NPE: 19548\nKSU to JQA: 3930\nKSU to NPE: 18110\nJQA to NPE: 19557\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64906,
"style": "rule"
}
|
{
"exact_answer": 64906,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ABJ\", \"id\": 0}, {\"name\": \"LSE\", \"id\": 1}, {\"name\": \"LFR\", \"id\": 2}, {\"name\": \"SJK\", \"id\": 3}, {\"name\": \"ABD\", \"id\": 4}, {\"name\": \"FNI\", \"id\": 5}, {\"name\": \"KSU\", \"id\": 6}, {\"name\": \"JQA\", \"id\": 7}, {\"name\": \"NPE\", \"id\": 8}], \"links\": [{\"weight\": 9471, \"source\": 0, \"target\": 1}, {\"weight\": 7340, \"source\": 0, \"target\": 3}, {\"weight\": 7036, \"source\": 0, \"target\": 4}, {\"weight\": 6503, \"source\": 0, \"target\": 6}, {\"weight\": 4756, \"source\": 0, \"target\": 5}, {\"weight\": 9185, \"source\": 0, \"target\": 7}, {\"weight\": 18600, \"source\": 0, \"target\": 8}, {\"weight\": 9341, \"source\": 0, \"target\": 2}, {\"weight\": 9256, \"source\": 1, \"target\": 3}, {\"weight\": 11788, \"source\": 1, \"target\": 4}, {\"weight\": 7006, \"source\": 1, \"target\": 6}, {\"weight\": 7643, \"source\": 1, \"target\": 5}, {\"weight\": 7354, \"source\": 1, \"target\": 7}, {\"weight\": 13472, \"source\": 1, \"target\": 8}, {\"weight\": 5052, \"source\": 1, \"target\": 2}, {\"weight\": 5651, \"source\": 2, \"target\": 3}, {\"weight\": 13060, \"source\": 2, \"target\": 4}, {\"weight\": 9414, \"source\": 2, \"target\": 6}, {\"weight\": 8858, \"source\": 2, \"target\": 5}, {\"weight\": 10204, \"source\": 2, \"target\": 7}, {\"weight\": 15524, \"source\": 2, \"target\": 8}, {\"weight\": 13212, \"source\": 3, \"target\": 4}, {\"weight\": 10854, \"source\": 3, \"target\": 6}, {\"weight\": 9300, \"source\": 3, \"target\": 5}, {\"weight\": 13338, \"source\": 3, \"target\": 7}, {\"weight\": 13215, \"source\": 3, \"target\": 8}, {\"weight\": 5398, \"source\": 4, \"target\": 6}, {\"weight\": 5600, \"source\": 4, \"target\": 5}, {\"weight\": 8568, \"source\": 4, \"target\": 7}, {\"weight\": 15482, \"source\": 4, \"target\": 8}, {\"weight\": 2430, \"source\": 5, \"target\": 6}, {\"weight\": 4970, \"source\": 5, \"target\": 7}, {\"weight\": 19548, \"source\": 5, \"target\": 8}, {\"weight\": 3930, \"source\": 6, \"target\": 7}, {\"weight\": 18110, \"source\": 6, \"target\": 8}, {\"weight\": 19557, \"source\": 7, \"target\": 8}]}",
"id": 979,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABJ, LSE, LFR, SJK, ABD, FNI, KSU, JQA, NPE\n- Travel distances (in kilometers) between each pair of airports:\nABJ to LSE: 9471\nABJ to SJK: 7340\nABJ to ABD: 7036\nABJ to KSU: 6503\nABJ to FNI: 4756\nABJ to JQA: 9185\nABJ to NPE: 18600\nABJ to LFR: 9341\nLSE to SJK: 9256\nLSE to ABD: 11788\nLSE to KSU: 7006\nLSE to FNI: 7643\nLSE to JQA: 7354\nLSE to NPE: 13472\nLSE to LFR: 5052\nLFR to SJK: 5651\nLFR to ABD: 13060\nLFR to KSU: 9414\nLFR to FNI: 8858\nLFR to JQA: 10204\nLFR to NPE: 15524\nSJK to ABD: 13212\nSJK to KSU: 10854\nSJK to FNI: 9300\nSJK to JQA: 13338\nSJK to NPE: 13215\nABD to KSU: 5398\nABD to FNI: 5600\nABD to JQA: 8568\nABD to NPE: 15482\nFNI to KSU: 2430\nFNI to JQA: 4970\nFNI to NPE: 19548\nKSU to JQA: 3930\nKSU to NPE: 18110\nJQA to NPE: 19557\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: POJ, POA, UGC, PAV, STI, PAS, AKI, HAQ, GJT\n- Travel distances (in kilometers) between each pair of airports:\nPOJ to AKI: 14006\nPOJ to POA: 1638\nPOJ to PAS: 10642\nPOJ to GJT: 9945\nPOJ to STI: 6129\nPOJ to PAV: 1679\nPOJ to UGC: 13502\nPOJ to HAQ: 15788\nPOA to AKI: 14076\nPOA to PAS: 11481\nPOA to GJT: 9719\nPOA to STI: 6578\nPOA to PAV: 2706\nPOA to UGC: 14403\nPOA to HAQ: 15880\nUGC to AKI: 14454\nUGC to PAS: 3680\nUGC to GJT: 11701\nUGC to STI: 12028\nUGC to PAV: 12601\nUGC to HAQ: 4995\nPAV to AKI: 13787\nPAV to PAS: 9741\nPAV to GJT: 9689\nPAV to STI: 5973\nPAV to HAQ: 15657\nSTI to AKI: 8245\nSTI to PAS: 9779\nSTI to GJT: 4263\nSTI to HAQ: 16024\nPAS to AKI: 13166\nPAS to GJT: 10389\nPAS to HAQ: 6706\nAKI to GJT: 4442\nAKI to HAQ: 17663\nHAQ to GJT: 16096\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54496,
"style": "rule"
}
|
{
"exact_answer": 54496,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"POJ\", \"id\": 0}, {\"name\": \"POA\", \"id\": 1}, {\"name\": \"UGC\", \"id\": 2}, {\"name\": \"PAV\", \"id\": 3}, {\"name\": \"STI\", \"id\": 4}, {\"name\": \"PAS\", \"id\": 5}, {\"name\": \"AKI\", \"id\": 6}, {\"name\": \"HAQ\", \"id\": 7}, {\"name\": \"GJT\", \"id\": 8}], \"links\": [{\"weight\": 14006, \"source\": 0, \"target\": 6}, {\"weight\": 1638, \"source\": 0, \"target\": 1}, {\"weight\": 10642, \"source\": 0, \"target\": 5}, {\"weight\": 9945, \"source\": 0, \"target\": 8}, {\"weight\": 6129, \"source\": 0, \"target\": 4}, {\"weight\": 1679, \"source\": 0, \"target\": 3}, {\"weight\": 13502, \"source\": 0, \"target\": 2}, {\"weight\": 15788, \"source\": 0, \"target\": 7}, {\"weight\": 14076, \"source\": 1, \"target\": 6}, {\"weight\": 11481, \"source\": 1, \"target\": 5}, {\"weight\": 9719, \"source\": 1, \"target\": 8}, {\"weight\": 6578, \"source\": 1, \"target\": 4}, {\"weight\": 2706, \"source\": 1, \"target\": 3}, {\"weight\": 14403, \"source\": 1, \"target\": 2}, {\"weight\": 15880, \"source\": 1, \"target\": 7}, {\"weight\": 14454, \"source\": 2, \"target\": 6}, {\"weight\": 3680, \"source\": 2, \"target\": 5}, {\"weight\": 11701, \"source\": 2, \"target\": 8}, {\"weight\": 12028, \"source\": 2, \"target\": 4}, {\"weight\": 12601, \"source\": 2, \"target\": 3}, {\"weight\": 4995, \"source\": 2, \"target\": 7}, {\"weight\": 13787, \"source\": 3, \"target\": 6}, {\"weight\": 9741, \"source\": 3, \"target\": 5}, {\"weight\": 9689, \"source\": 3, \"target\": 8}, {\"weight\": 5973, \"source\": 3, \"target\": 4}, {\"weight\": 15657, \"source\": 3, \"target\": 7}, {\"weight\": 8245, \"source\": 4, \"target\": 6}, {\"weight\": 9779, \"source\": 4, \"target\": 5}, {\"weight\": 4263, \"source\": 4, \"target\": 8}, {\"weight\": 16024, \"source\": 4, \"target\": 7}, {\"weight\": 13166, \"source\": 5, \"target\": 6}, {\"weight\": 10389, \"source\": 5, \"target\": 8}, {\"weight\": 6706, \"source\": 5, \"target\": 7}, {\"weight\": 4442, \"source\": 6, \"target\": 8}, {\"weight\": 17663, \"source\": 6, \"target\": 7}, {\"weight\": 16096, \"source\": 7, \"target\": 8}]}",
"id": 980,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: POJ, POA, UGC, PAV, STI, PAS, AKI, HAQ, GJT\n- Travel distances (in kilometers) between each pair of airports:\nPOJ to AKI: 14006\nPOJ to POA: 1638\nPOJ to PAS: 10642\nPOJ to GJT: 9945\nPOJ to STI: 6129\nPOJ to PAV: 1679\nPOJ to UGC: 13502\nPOJ to HAQ: 15788\nPOA to AKI: 14076\nPOA to PAS: 11481\nPOA to GJT: 9719\nPOA to STI: 6578\nPOA to PAV: 2706\nPOA to UGC: 14403\nPOA to HAQ: 15880\nUGC to AKI: 14454\nUGC to PAS: 3680\nUGC to GJT: 11701\nUGC to STI: 12028\nUGC to PAV: 12601\nUGC to HAQ: 4995\nPAV to AKI: 13787\nPAV to PAS: 9741\nPAV to GJT: 9689\nPAV to STI: 5973\nPAV to HAQ: 15657\nSTI to AKI: 8245\nSTI to PAS: 9779\nSTI to GJT: 4263\nSTI to HAQ: 16024\nPAS to AKI: 13166\nPAS to GJT: 10389\nPAS to HAQ: 6706\nAKI to GJT: 4442\nAKI to HAQ: 17663\nHAQ to GJT: 16096\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LKH, TWB, VFA, BSG, WIC, ABV, LOH, RIX\n- Travel distances (in kilometers) between each pair of airports:\nLDY to RIX: 1930\nLDY to ABV: 5413\nLDY to VFA: 9630\nLDY to WIC: 1042\nLDY to BSG: 6257\nLDY to LOH: 10263\nLDY to LKH: 12034\nLDY to TWB: 16963\nLKH to RIX: 10104\nLKH to ABV: 12270\nLKH to VFA: 10883\nLKH to WIC: 11813\nLKH to BSG: 12521\nLKH to LOH: 19205\nLKH to TWB: 6636\nTWB to RIX: 15033\nTWB to ABV: 16298\nTWB to VFA: 12666\nTWB to WIC: 16620\nTWB to BSG: 15932\nTWB to LOH: 15865\nVFA to RIX: 9090\nVFA to ABV: 4806\nVFA to WIC: 9621\nVFA to BSG: 4440\nVFA to LOH: 13123\nBSG to RIX: 6668\nBSG to ABV: 844\nBSG to WIC: 6413\nBSG to LOH: 11979\nWIC to RIX: 1721\nWIC to ABV: 5569\nWIC to LOH: 10184\nABV to RIX: 5832\nABV to LOH: 11626\nLOH to RIX: 11311\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57526,
"style": "rule"
}
|
{
"exact_answer": 57526,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LDY\", \"id\": 0}, {\"name\": \"LKH\", \"id\": 1}, {\"name\": \"TWB\", \"id\": 2}, {\"name\": \"VFA\", \"id\": 3}, {\"name\": \"BSG\", \"id\": 4}, {\"name\": \"WIC\", \"id\": 5}, {\"name\": \"ABV\", \"id\": 6}, {\"name\": \"LOH\", \"id\": 7}, {\"name\": \"RIX\", \"id\": 8}], \"links\": [{\"weight\": 1930, \"source\": 0, \"target\": 8}, {\"weight\": 5413, \"source\": 0, \"target\": 6}, {\"weight\": 9630, \"source\": 0, \"target\": 3}, {\"weight\": 1042, \"source\": 0, \"target\": 5}, {\"weight\": 6257, \"source\": 0, \"target\": 4}, {\"weight\": 10263, \"source\": 0, \"target\": 7}, {\"weight\": 12034, \"source\": 0, \"target\": 1}, {\"weight\": 16963, \"source\": 0, \"target\": 2}, {\"weight\": 10104, \"source\": 1, \"target\": 8}, {\"weight\": 12270, \"source\": 1, \"target\": 6}, {\"weight\": 10883, \"source\": 1, \"target\": 3}, {\"weight\": 11813, \"source\": 1, \"target\": 5}, {\"weight\": 12521, \"source\": 1, \"target\": 4}, {\"weight\": 19205, \"source\": 1, \"target\": 7}, {\"weight\": 6636, \"source\": 1, \"target\": 2}, {\"weight\": 15033, \"source\": 2, \"target\": 8}, {\"weight\": 16298, \"source\": 2, \"target\": 6}, {\"weight\": 12666, \"source\": 2, \"target\": 3}, {\"weight\": 16620, \"source\": 2, \"target\": 5}, {\"weight\": 15932, \"source\": 2, \"target\": 4}, {\"weight\": 15865, \"source\": 2, \"target\": 7}, {\"weight\": 9090, \"source\": 3, \"target\": 8}, {\"weight\": 4806, \"source\": 3, \"target\": 6}, {\"weight\": 9621, \"source\": 3, \"target\": 5}, {\"weight\": 4440, \"source\": 3, \"target\": 4}, {\"weight\": 13123, \"source\": 3, \"target\": 7}, {\"weight\": 6668, \"source\": 4, \"target\": 8}, {\"weight\": 844, \"source\": 4, \"target\": 6}, {\"weight\": 6413, \"source\": 4, \"target\": 5}, {\"weight\": 11979, \"source\": 4, \"target\": 7}, {\"weight\": 1721, \"source\": 5, \"target\": 8}, {\"weight\": 5569, \"source\": 5, \"target\": 6}, {\"weight\": 10184, \"source\": 5, \"target\": 7}, {\"weight\": 5832, \"source\": 6, \"target\": 8}, {\"weight\": 11626, \"source\": 6, \"target\": 7}, {\"weight\": 11311, \"source\": 7, \"target\": 8}]}",
"id": 981,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LKH, TWB, VFA, BSG, WIC, ABV, LOH, RIX\n- Travel distances (in kilometers) between each pair of airports:\nLDY to RIX: 1930\nLDY to ABV: 5413\nLDY to VFA: 9630\nLDY to WIC: 1042\nLDY to BSG: 6257\nLDY to LOH: 10263\nLDY to LKH: 12034\nLDY to TWB: 16963\nLKH to RIX: 10104\nLKH to ABV: 12270\nLKH to VFA: 10883\nLKH to WIC: 11813\nLKH to BSG: 12521\nLKH to LOH: 19205\nLKH to TWB: 6636\nTWB to RIX: 15033\nTWB to ABV: 16298\nTWB to VFA: 12666\nTWB to WIC: 16620\nTWB to BSG: 15932\nTWB to LOH: 15865\nVFA to RIX: 9090\nVFA to ABV: 4806\nVFA to WIC: 9621\nVFA to BSG: 4440\nVFA to LOH: 13123\nBSG to RIX: 6668\nBSG to ABV: 844\nBSG to WIC: 6413\nBSG to LOH: 11979\nWIC to RIX: 1721\nWIC to ABV: 5569\nWIC to LOH: 10184\nABV to RIX: 5832\nABV to LOH: 11626\nLOH to RIX: 11311\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TEB, SIT, HGR, CYX, SHE, FSD, CGR, NKC, CGY\n- Travel distances (in kilometers) between each pair of airports:\nTEB to CGY: 14744\nTEB to CGR: 8370\nTEB to SHE: 12344\nTEB to FSD: 2570\nTEB to NKC: 6953\nTEB to SIT: 5874\nTEB to HGR: 1133\nTEB to CYX: 13553\nSIT to CGY: 12540\nSIT to CGR: 12102\nSIT to SHE: 9591\nSIT to FSD: 3805\nSIT to NKC: 11797\nSIT to HGR: 5174\nSIT to CYX: 13677\nHGR to CGY: 14432\nHGR to CGR: 7820\nHGR to SHE: 11789\nHGR to FSD: 1775\nHGR to NKC: 6895\nHGR to CYX: 13777\nCYX to CGY: 7612\nCYX to CGR: 18217\nCYX to SHE: 4357\nCYX to FSD: 14504\nCYX to NKC: 12366\nSHE to CGY: 3778\nSHE to CGR: 18063\nSHE to FSD: 10567\nSHE to NKC: 12187\nFSD to CGY: 13367\nFSD to CGR: 8830\nFSD to NKC: 8455\nCGR to CGY: 19643\nCGR to NKC: 6279\nNKC to CGY: 14897\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54403,
"style": "rule"
}
|
{
"exact_answer": 54403,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TEB\", \"id\": 0}, {\"name\": \"SIT\", \"id\": 1}, {\"name\": \"HGR\", \"id\": 2}, {\"name\": \"CYX\", \"id\": 3}, {\"name\": \"SHE\", \"id\": 4}, {\"name\": \"FSD\", \"id\": 5}, {\"name\": \"CGR\", \"id\": 6}, {\"name\": \"NKC\", \"id\": 7}, {\"name\": \"CGY\", \"id\": 8}], \"links\": [{\"weight\": 14744, \"source\": 0, \"target\": 8}, {\"weight\": 8370, \"source\": 0, \"target\": 6}, {\"weight\": 12344, \"source\": 0, \"target\": 4}, {\"weight\": 2570, \"source\": 0, \"target\": 5}, {\"weight\": 6953, \"source\": 0, \"target\": 7}, {\"weight\": 5874, \"source\": 0, \"target\": 1}, {\"weight\": 1133, \"source\": 0, \"target\": 2}, {\"weight\": 13553, \"source\": 0, \"target\": 3}, {\"weight\": 12540, \"source\": 1, \"target\": 8}, {\"weight\": 12102, \"source\": 1, \"target\": 6}, {\"weight\": 9591, \"source\": 1, \"target\": 4}, {\"weight\": 3805, \"source\": 1, \"target\": 5}, {\"weight\": 11797, \"source\": 1, \"target\": 7}, {\"weight\": 5174, \"source\": 1, \"target\": 2}, {\"weight\": 13677, \"source\": 1, \"target\": 3}, {\"weight\": 14432, \"source\": 2, \"target\": 8}, {\"weight\": 7820, \"source\": 2, \"target\": 6}, {\"weight\": 11789, \"source\": 2, \"target\": 4}, {\"weight\": 1775, \"source\": 2, \"target\": 5}, {\"weight\": 6895, \"source\": 2, \"target\": 7}, {\"weight\": 13777, \"source\": 2, \"target\": 3}, {\"weight\": 7612, \"source\": 3, \"target\": 8}, {\"weight\": 18217, \"source\": 3, \"target\": 6}, {\"weight\": 4357, \"source\": 3, \"target\": 4}, {\"weight\": 14504, \"source\": 3, \"target\": 5}, {\"weight\": 12366, \"source\": 3, \"target\": 7}, {\"weight\": 3778, \"source\": 4, \"target\": 8}, {\"weight\": 18063, \"source\": 4, \"target\": 6}, {\"weight\": 10567, \"source\": 4, \"target\": 5}, {\"weight\": 12187, \"source\": 4, \"target\": 7}, {\"weight\": 13367, \"source\": 5, \"target\": 8}, {\"weight\": 8830, \"source\": 5, \"target\": 6}, {\"weight\": 8455, \"source\": 5, \"target\": 7}, {\"weight\": 19643, \"source\": 6, \"target\": 8}, {\"weight\": 6279, \"source\": 6, \"target\": 7}, {\"weight\": 14897, \"source\": 7, \"target\": 8}]}",
"id": 982,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TEB, SIT, HGR, CYX, SHE, FSD, CGR, NKC, CGY\n- Travel distances (in kilometers) between each pair of airports:\nTEB to CGY: 14744\nTEB to CGR: 8370\nTEB to SHE: 12344\nTEB to FSD: 2570\nTEB to NKC: 6953\nTEB to SIT: 5874\nTEB to HGR: 1133\nTEB to CYX: 13553\nSIT to CGY: 12540\nSIT to CGR: 12102\nSIT to SHE: 9591\nSIT to FSD: 3805\nSIT to NKC: 11797\nSIT to HGR: 5174\nSIT to CYX: 13677\nHGR to CGY: 14432\nHGR to CGR: 7820\nHGR to SHE: 11789\nHGR to FSD: 1775\nHGR to NKC: 6895\nHGR to CYX: 13777\nCYX to CGY: 7612\nCYX to CGR: 18217\nCYX to SHE: 4357\nCYX to FSD: 14504\nCYX to NKC: 12366\nSHE to CGY: 3778\nSHE to CGR: 18063\nSHE to FSD: 10567\nSHE to NKC: 12187\nFSD to CGY: 13367\nFSD to CGR: 8830\nFSD to NKC: 8455\nCGR to CGY: 19643\nCGR to NKC: 6279\nNKC to CGY: 14897\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJW, BBO, XSC, YKQ, KWN, CBT, LYB, KIN, SVA\n- Travel distances (in kilometers) between each pair of airports:\nSJW to KWN: 12119\nSJW to SVA: 12492\nSJW to KIN: 14212\nSJW to CBT: 12213\nSJW to BBO: 7902\nSJW to XSC: 13949\nSJW to LYB: 13980\nSJW to YKQ: 12323\nBBO to KWN: 16807\nBBO to SVA: 17180\nBBO to KIN: 13394\nBBO to CBT: 4580\nBBO to XSC: 13153\nBBO to LYB: 13759\nBBO to YKQ: 12148\nXSC to KWN: 8081\nXSC to SVA: 8454\nXSC to KIN: 717\nXSC to CBT: 12553\nXSC to LYB: 1361\nXSC to YKQ: 3525\nYKQ to KWN: 6615\nYKQ to SVA: 6988\nYKQ to KIN: 3869\nYKQ to CBT: 12014\nYKQ to LYB: 3686\nKWN to SVA: 957\nKWN to KIN: 8156\nKWN to CBT: 17397\nKWN to LYB: 7912\nCBT to SVA: 17770\nCBT to KIN: 12295\nCBT to LYB: 11931\nLYB to SVA: 8285\nLYB to KIN: 644\nKIN to SVA: 8529\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49363,
"style": "rule"
}
|
{
"exact_answer": 49363,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SJW\", \"id\": 0}, {\"name\": \"BBO\", \"id\": 1}, {\"name\": \"XSC\", \"id\": 2}, {\"name\": \"YKQ\", \"id\": 3}, {\"name\": \"KWN\", \"id\": 4}, {\"name\": \"CBT\", \"id\": 5}, {\"name\": \"LYB\", \"id\": 6}, {\"name\": \"KIN\", \"id\": 7}, {\"name\": \"SVA\", \"id\": 8}], \"links\": [{\"weight\": 12119, \"source\": 0, \"target\": 4}, {\"weight\": 12492, \"source\": 0, \"target\": 8}, {\"weight\": 14212, \"source\": 0, \"target\": 7}, {\"weight\": 12213, \"source\": 0, \"target\": 5}, {\"weight\": 7902, \"source\": 0, \"target\": 1}, {\"weight\": 13949, \"source\": 0, \"target\": 2}, {\"weight\": 13980, \"source\": 0, \"target\": 6}, {\"weight\": 12323, \"source\": 0, \"target\": 3}, {\"weight\": 16807, \"source\": 1, \"target\": 4}, {\"weight\": 17180, \"source\": 1, \"target\": 8}, {\"weight\": 13394, \"source\": 1, \"target\": 7}, {\"weight\": 4580, \"source\": 1, \"target\": 5}, {\"weight\": 13153, \"source\": 1, \"target\": 2}, {\"weight\": 13759, \"source\": 1, \"target\": 6}, {\"weight\": 12148, \"source\": 1, \"target\": 3}, {\"weight\": 8081, \"source\": 2, \"target\": 4}, {\"weight\": 8454, \"source\": 2, \"target\": 8}, {\"weight\": 717, \"source\": 2, \"target\": 7}, {\"weight\": 12553, \"source\": 2, \"target\": 5}, {\"weight\": 1361, \"source\": 2, \"target\": 6}, {\"weight\": 3525, \"source\": 2, \"target\": 3}, {\"weight\": 6615, \"source\": 3, \"target\": 4}, {\"weight\": 6988, \"source\": 3, \"target\": 8}, {\"weight\": 3869, \"source\": 3, \"target\": 7}, {\"weight\": 12014, \"source\": 3, \"target\": 5}, {\"weight\": 3686, \"source\": 3, \"target\": 6}, {\"weight\": 957, \"source\": 4, \"target\": 8}, {\"weight\": 8156, \"source\": 4, \"target\": 7}, {\"weight\": 17397, \"source\": 4, \"target\": 5}, {\"weight\": 7912, \"source\": 4, \"target\": 6}, {\"weight\": 17770, \"source\": 5, \"target\": 8}, {\"weight\": 12295, \"source\": 5, \"target\": 7}, {\"weight\": 11931, \"source\": 5, \"target\": 6}, {\"weight\": 8285, \"source\": 6, \"target\": 8}, {\"weight\": 644, \"source\": 6, \"target\": 7}, {\"weight\": 8529, \"source\": 7, \"target\": 8}]}",
"id": 983,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJW, BBO, XSC, YKQ, KWN, CBT, LYB, KIN, SVA\n- Travel distances (in kilometers) between each pair of airports:\nSJW to KWN: 12119\nSJW to SVA: 12492\nSJW to KIN: 14212\nSJW to CBT: 12213\nSJW to BBO: 7902\nSJW to XSC: 13949\nSJW to LYB: 13980\nSJW to YKQ: 12323\nBBO to KWN: 16807\nBBO to SVA: 17180\nBBO to KIN: 13394\nBBO to CBT: 4580\nBBO to XSC: 13153\nBBO to LYB: 13759\nBBO to YKQ: 12148\nXSC to KWN: 8081\nXSC to SVA: 8454\nXSC to KIN: 717\nXSC to CBT: 12553\nXSC to LYB: 1361\nXSC to YKQ: 3525\nYKQ to KWN: 6615\nYKQ to SVA: 6988\nYKQ to KIN: 3869\nYKQ to CBT: 12014\nYKQ to LYB: 3686\nKWN to SVA: 957\nKWN to KIN: 8156\nKWN to CBT: 17397\nKWN to LYB: 7912\nCBT to SVA: 17770\nCBT to KIN: 12295\nCBT to LYB: 11931\nLYB to SVA: 8285\nLYB to KIN: 644\nKIN to SVA: 8529\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TNG, HSN, HKN, UBP, MTV, GDL, ATZ, EVV, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nTNG to GDL: 9426\nTNG to EVV: 7108\nTNG to HSN: 10937\nTNG to HKN: 16632\nTNG to UBP: 11112\nTNG to ATZ: 4180\nTNG to AOQ: 6013\nTNG to MTV: 19237\nHSN to GDL: 12666\nHSN to EVV: 11918\nHSN to HKN: 6379\nHSN to UBP: 3352\nHSN to ATZ: 8891\nHSN to AOQ: 12398\nHSN to MTV: 8984\nHKN to GDL: 14949\nHKN to EVV: 15859\nHKN to UBP: 7156\nHKN to ATZ: 13755\nHKN to AOQ: 18296\nHKN to MTV: 3733\nUBP to GDL: 15868\nUBP to EVV: 14794\nUBP to ATZ: 7823\nUBP to AOQ: 13243\nUBP to MTV: 9761\nMTV to GDL: 12442\nMTV to EVV: 13352\nMTV to ATZ: 16360\nMTV to AOQ: 19051\nGDL to EVV: 2541\nGDL to ATZ: 12942\nGDL to AOQ: 9967\nATZ to EVV: 10497\nATZ to AOQ: 7671\nEVV to AOQ: 7513\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53976,
"style": "rule"
}
|
{
"exact_answer": 53976,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TNG\", \"id\": 0}, {\"name\": \"HSN\", \"id\": 1}, {\"name\": \"HKN\", \"id\": 2}, {\"name\": \"UBP\", \"id\": 3}, {\"name\": \"MTV\", \"id\": 4}, {\"name\": \"GDL\", \"id\": 5}, {\"name\": \"ATZ\", \"id\": 6}, {\"name\": \"EVV\", \"id\": 7}, {\"name\": \"AOQ\", \"id\": 8}], \"links\": [{\"weight\": 9426, \"source\": 0, \"target\": 5}, {\"weight\": 7108, \"source\": 0, \"target\": 7}, {\"weight\": 10937, \"source\": 0, \"target\": 1}, {\"weight\": 16632, \"source\": 0, \"target\": 2}, {\"weight\": 11112, \"source\": 0, \"target\": 3}, {\"weight\": 4180, \"source\": 0, \"target\": 6}, {\"weight\": 6013, \"source\": 0, \"target\": 8}, {\"weight\": 19237, \"source\": 0, \"target\": 4}, {\"weight\": 12666, \"source\": 1, \"target\": 5}, {\"weight\": 11918, \"source\": 1, \"target\": 7}, {\"weight\": 6379, \"source\": 1, \"target\": 2}, {\"weight\": 3352, \"source\": 1, \"target\": 3}, {\"weight\": 8891, \"source\": 1, \"target\": 6}, {\"weight\": 12398, \"source\": 1, \"target\": 8}, {\"weight\": 8984, \"source\": 1, \"target\": 4}, {\"weight\": 14949, \"source\": 2, \"target\": 5}, {\"weight\": 15859, \"source\": 2, \"target\": 7}, {\"weight\": 7156, \"source\": 2, \"target\": 3}, {\"weight\": 13755, \"source\": 2, \"target\": 6}, {\"weight\": 18296, \"source\": 2, \"target\": 8}, {\"weight\": 3733, \"source\": 2, \"target\": 4}, {\"weight\": 15868, \"source\": 3, \"target\": 5}, {\"weight\": 14794, \"source\": 3, \"target\": 7}, {\"weight\": 7823, \"source\": 3, \"target\": 6}, {\"weight\": 13243, \"source\": 3, \"target\": 8}, {\"weight\": 9761, \"source\": 3, \"target\": 4}, {\"weight\": 12442, \"source\": 4, \"target\": 5}, {\"weight\": 13352, \"source\": 4, \"target\": 7}, {\"weight\": 16360, \"source\": 4, \"target\": 6}, {\"weight\": 19051, \"source\": 4, \"target\": 8}, {\"weight\": 2541, \"source\": 5, \"target\": 7}, {\"weight\": 12942, \"source\": 5, \"target\": 6}, {\"weight\": 9967, \"source\": 5, \"target\": 8}, {\"weight\": 10497, \"source\": 6, \"target\": 7}, {\"weight\": 7671, \"source\": 6, \"target\": 8}, {\"weight\": 7513, \"source\": 7, \"target\": 8}]}",
"id": 984,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TNG, HSN, HKN, UBP, MTV, GDL, ATZ, EVV, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nTNG to GDL: 9426\nTNG to EVV: 7108\nTNG to HSN: 10937\nTNG to HKN: 16632\nTNG to UBP: 11112\nTNG to ATZ: 4180\nTNG to AOQ: 6013\nTNG to MTV: 19237\nHSN to GDL: 12666\nHSN to EVV: 11918\nHSN to HKN: 6379\nHSN to UBP: 3352\nHSN to ATZ: 8891\nHSN to AOQ: 12398\nHSN to MTV: 8984\nHKN to GDL: 14949\nHKN to EVV: 15859\nHKN to UBP: 7156\nHKN to ATZ: 13755\nHKN to AOQ: 18296\nHKN to MTV: 3733\nUBP to GDL: 15868\nUBP to EVV: 14794\nUBP to ATZ: 7823\nUBP to AOQ: 13243\nUBP to MTV: 9761\nMTV to GDL: 12442\nMTV to EVV: 13352\nMTV to ATZ: 16360\nMTV to AOQ: 19051\nGDL to EVV: 2541\nGDL to ATZ: 12942\nGDL to AOQ: 9967\nATZ to EVV: 10497\nATZ to AOQ: 7671\nEVV to AOQ: 7513\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSM, KOJ, ZAG, LEN, LEA, LKO, EBH, NYK, IXJ\n- Travel distances (in kilometers) between each pair of airports:\nYSM to ZAG: 8799\nYSM to LKO: 13762\nYSM to IXJ: 13346\nYSM to EBH: 9579\nYSM to KOJ: 9937\nYSM to NYK: 14988\nYSM to LEN: 9324\nYSM to LEA: 18138\nKOJ to ZAG: 9193\nKOJ to LKO: 5222\nKOJ to IXJ: 5645\nKOJ to EBH: 11045\nKOJ to NYK: 10991\nKOJ to LEN: 10988\nKOJ to LEA: 8682\nZAG to LKO: 6088\nZAG to IXJ: 5686\nZAG to EBH: 1979\nZAG to NYK: 6361\nZAG to LEN: 1883\nZAG to LEA: 14299\nLEN to LKO: 7856\nLEN to IXJ: 7459\nLEN to EBH: 1565\nLEN to NYK: 7717\nLEN to LEA: 15939\nLEA to LKO: 8779\nLEA to IXJ: 9616\nLEA to EBH: 15543\nLEA to NYK: 10385\nLKO to IXJ: 929\nLKO to EBH: 7631\nLKO to NYK: 6251\nEBH to IXJ: 7240\nEBH to NYK: 7250\nNYK to IXJ: 6329\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53885,
"style": "rule"
}
|
{
"exact_answer": 53885,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YSM\", \"id\": 0}, {\"name\": \"KOJ\", \"id\": 1}, {\"name\": \"ZAG\", \"id\": 2}, {\"name\": \"LEN\", \"id\": 3}, {\"name\": \"LEA\", \"id\": 4}, {\"name\": \"LKO\", \"id\": 5}, {\"name\": \"EBH\", \"id\": 6}, {\"name\": \"NYK\", \"id\": 7}, {\"name\": \"IXJ\", \"id\": 8}], \"links\": [{\"weight\": 8799, \"source\": 0, \"target\": 2}, {\"weight\": 13762, \"source\": 0, \"target\": 5}, {\"weight\": 13346, \"source\": 0, \"target\": 8}, {\"weight\": 9579, \"source\": 0, \"target\": 6}, {\"weight\": 9937, \"source\": 0, \"target\": 1}, {\"weight\": 14988, \"source\": 0, \"target\": 7}, {\"weight\": 9324, \"source\": 0, \"target\": 3}, {\"weight\": 18138, \"source\": 0, \"target\": 4}, {\"weight\": 9193, \"source\": 1, \"target\": 2}, {\"weight\": 5222, \"source\": 1, \"target\": 5}, {\"weight\": 5645, \"source\": 1, \"target\": 8}, {\"weight\": 11045, \"source\": 1, \"target\": 6}, {\"weight\": 10991, \"source\": 1, \"target\": 7}, {\"weight\": 10988, \"source\": 1, \"target\": 3}, {\"weight\": 8682, \"source\": 1, \"target\": 4}, {\"weight\": 6088, \"source\": 2, \"target\": 5}, {\"weight\": 5686, \"source\": 2, \"target\": 8}, {\"weight\": 1979, \"source\": 2, \"target\": 6}, {\"weight\": 6361, \"source\": 2, \"target\": 7}, {\"weight\": 1883, \"source\": 2, \"target\": 3}, {\"weight\": 14299, \"source\": 2, \"target\": 4}, {\"weight\": 7856, \"source\": 3, \"target\": 5}, {\"weight\": 7459, \"source\": 3, \"target\": 8}, {\"weight\": 1565, \"source\": 3, \"target\": 6}, {\"weight\": 7717, \"source\": 3, \"target\": 7}, {\"weight\": 15939, \"source\": 3, \"target\": 4}, {\"weight\": 8779, \"source\": 4, \"target\": 5}, {\"weight\": 9616, \"source\": 4, \"target\": 8}, {\"weight\": 15543, \"source\": 4, \"target\": 6}, {\"weight\": 10385, \"source\": 4, \"target\": 7}, {\"weight\": 929, \"source\": 5, \"target\": 8}, {\"weight\": 7631, \"source\": 5, \"target\": 6}, {\"weight\": 6251, \"source\": 5, \"target\": 7}, {\"weight\": 7240, \"source\": 6, \"target\": 8}, {\"weight\": 7250, \"source\": 6, \"target\": 7}, {\"weight\": 6329, \"source\": 7, \"target\": 8}]}",
"id": 985,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSM, KOJ, ZAG, LEN, LEA, LKO, EBH, NYK, IXJ\n- Travel distances (in kilometers) between each pair of airports:\nYSM to ZAG: 8799\nYSM to LKO: 13762\nYSM to IXJ: 13346\nYSM to EBH: 9579\nYSM to KOJ: 9937\nYSM to NYK: 14988\nYSM to LEN: 9324\nYSM to LEA: 18138\nKOJ to ZAG: 9193\nKOJ to LKO: 5222\nKOJ to IXJ: 5645\nKOJ to EBH: 11045\nKOJ to NYK: 10991\nKOJ to LEN: 10988\nKOJ to LEA: 8682\nZAG to LKO: 6088\nZAG to IXJ: 5686\nZAG to EBH: 1979\nZAG to NYK: 6361\nZAG to LEN: 1883\nZAG to LEA: 14299\nLEN to LKO: 7856\nLEN to IXJ: 7459\nLEN to EBH: 1565\nLEN to NYK: 7717\nLEN to LEA: 15939\nLEA to LKO: 8779\nLEA to IXJ: 9616\nLEA to EBH: 15543\nLEA to NYK: 10385\nLKO to IXJ: 929\nLKO to EBH: 7631\nLKO to NYK: 6251\nEBH to IXJ: 7240\nEBH to NYK: 7250\nNYK to IXJ: 6329\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UYU, BVA, WUX, NRL, BEB, MQH, UME, BSK, PLO\n- Travel distances (in kilometers) between each pair of airports:\nUYU to WUX: 18824\nUYU to BVA: 11022\nUYU to BSK: 10962\nUYU to UME: 13006\nUYU to BEB: 11907\nUYU to NRL: 12033\nUYU to PLO: 15134\nUYU to MQH: 3966\nBVA to WUX: 9267\nBVA to BSK: 1732\nBVA to UME: 2205\nBVA to BEB: 1094\nBVA to NRL: 1206\nBVA to PLO: 16441\nBVA to MQH: 9037\nWUX to BSK: 10428\nWUX to UME: 8182\nWUX to BEB: 9276\nWUX to NRL: 9155\nWUX to PLO: 7943\nWUX to MQH: 18218\nNRL to BSK: 2822\nNRL to UME: 1925\nNRL to BEB: 476\nNRL to PLO: 16707\nNRL to MQH: 9894\nBEB to BSK: 2744\nBEB to UME: 2046\nBEB to PLO: 16828\nBEB to MQH: 9743\nMQH to BSK: 8569\nMQH to UME: 11026\nMQH to PLO: 16474\nUME to BSK: 3458\nUME to PLO: 15734\nBSK to PLO: 16629\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49021,
"style": "rule"
}
|
{
"exact_answer": 49021,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UYU\", \"id\": 0}, {\"name\": \"BVA\", \"id\": 1}, {\"name\": \"WUX\", \"id\": 2}, {\"name\": \"NRL\", \"id\": 3}, {\"name\": \"BEB\", \"id\": 4}, {\"name\": \"MQH\", \"id\": 5}, {\"name\": \"UME\", \"id\": 6}, {\"name\": \"BSK\", \"id\": 7}, {\"name\": \"PLO\", \"id\": 8}], \"links\": [{\"weight\": 18824, \"source\": 0, \"target\": 2}, {\"weight\": 11022, \"source\": 0, \"target\": 1}, {\"weight\": 10962, \"source\": 0, \"target\": 7}, {\"weight\": 13006, \"source\": 0, \"target\": 6}, {\"weight\": 11907, \"source\": 0, \"target\": 4}, {\"weight\": 12033, \"source\": 0, \"target\": 3}, {\"weight\": 15134, \"source\": 0, \"target\": 8}, {\"weight\": 3966, \"source\": 0, \"target\": 5}, {\"weight\": 9267, \"source\": 1, \"target\": 2}, {\"weight\": 1732, \"source\": 1, \"target\": 7}, {\"weight\": 2205, \"source\": 1, \"target\": 6}, {\"weight\": 1094, \"source\": 1, \"target\": 4}, {\"weight\": 1206, \"source\": 1, \"target\": 3}, {\"weight\": 16441, \"source\": 1, \"target\": 8}, {\"weight\": 9037, \"source\": 1, \"target\": 5}, {\"weight\": 10428, \"source\": 2, \"target\": 7}, {\"weight\": 8182, \"source\": 2, \"target\": 6}, {\"weight\": 9276, \"source\": 2, \"target\": 4}, {\"weight\": 9155, \"source\": 2, \"target\": 3}, {\"weight\": 7943, \"source\": 2, \"target\": 8}, {\"weight\": 18218, \"source\": 2, \"target\": 5}, {\"weight\": 2822, \"source\": 3, \"target\": 7}, {\"weight\": 1925, \"source\": 3, \"target\": 6}, {\"weight\": 476, \"source\": 3, \"target\": 4}, {\"weight\": 16707, \"source\": 3, \"target\": 8}, {\"weight\": 9894, \"source\": 3, \"target\": 5}, {\"weight\": 2744, \"source\": 4, \"target\": 7}, {\"weight\": 2046, \"source\": 4, \"target\": 6}, {\"weight\": 16828, \"source\": 4, \"target\": 8}, {\"weight\": 9743, \"source\": 4, \"target\": 5}, {\"weight\": 8569, \"source\": 5, \"target\": 7}, {\"weight\": 11026, \"source\": 5, \"target\": 6}, {\"weight\": 16474, \"source\": 5, \"target\": 8}, {\"weight\": 3458, \"source\": 6, \"target\": 7}, {\"weight\": 15734, \"source\": 6, \"target\": 8}, {\"weight\": 16629, \"source\": 7, \"target\": 8}]}",
"id": 986,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UYU, BVA, WUX, NRL, BEB, MQH, UME, BSK, PLO\n- Travel distances (in kilometers) between each pair of airports:\nUYU to WUX: 18824\nUYU to BVA: 11022\nUYU to BSK: 10962\nUYU to UME: 13006\nUYU to BEB: 11907\nUYU to NRL: 12033\nUYU to PLO: 15134\nUYU to MQH: 3966\nBVA to WUX: 9267\nBVA to BSK: 1732\nBVA to UME: 2205\nBVA to BEB: 1094\nBVA to NRL: 1206\nBVA to PLO: 16441\nBVA to MQH: 9037\nWUX to BSK: 10428\nWUX to UME: 8182\nWUX to BEB: 9276\nWUX to NRL: 9155\nWUX to PLO: 7943\nWUX to MQH: 18218\nNRL to BSK: 2822\nNRL to UME: 1925\nNRL to BEB: 476\nNRL to PLO: 16707\nNRL to MQH: 9894\nBEB to BSK: 2744\nBEB to UME: 2046\nBEB to PLO: 16828\nBEB to MQH: 9743\nMQH to BSK: 8569\nMQH to UME: 11026\nMQH to PLO: 16474\nUME to BSK: 3458\nUME to PLO: 15734\nBSK to PLO: 16629\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWB, OZZ, UBP, DLA, CNY, ELH, ZAZ, OOL, PTU\n- Travel distances (in kilometers) between each pair of airports:\nTWB to DLA: 15643\nTWB to ELH: 15621\nTWB to PTU: 12980\nTWB to OZZ: 18454\nTWB to OOL: 1271\nTWB to UBP: 7856\nTWB to CNY: 12778\nTWB to ZAZ: 17340\nOZZ to DLA: 4001\nOZZ to ELH: 7932\nOZZ to PTU: 12353\nOZZ to OOL: 18412\nOZZ to UBP: 11548\nOZZ to CNY: 9362\nOZZ to ZAZ: 1844\nUBP to DLA: 10493\nUBP to ELH: 16516\nUBP to PTU: 15632\nUBP to OOL: 8104\nUBP to CNY: 13858\nUBP to ZAZ: 10487\nDLA to ELH: 11066\nDLA to PTU: 15734\nDLA to OOL: 15608\nDLA to CNY: 12694\nDLA to ZAZ: 4763\nCNY to ELH: 3990\nCNY to PTU: 4542\nCNY to OOL: 13811\nCNY to ZAZ: 9607\nELH to PTU: 7579\nELH to OOL: 16626\nELH to ZAZ: 8412\nZAZ to PTU: 11996\nZAZ to OOL: 17325\nOOL to PTU: 14013\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55637,
"style": "rule"
}
|
{
"exact_answer": 55637,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TWB\", \"id\": 0}, {\"name\": \"OZZ\", \"id\": 1}, {\"name\": \"UBP\", \"id\": 2}, {\"name\": \"DLA\", \"id\": 3}, {\"name\": \"CNY\", \"id\": 4}, {\"name\": \"ELH\", \"id\": 5}, {\"name\": \"ZAZ\", \"id\": 6}, {\"name\": \"OOL\", \"id\": 7}, {\"name\": \"PTU\", \"id\": 8}], \"links\": [{\"weight\": 15643, \"source\": 0, \"target\": 3}, {\"weight\": 15621, \"source\": 0, \"target\": 5}, {\"weight\": 12980, \"source\": 0, \"target\": 8}, {\"weight\": 18454, \"source\": 0, \"target\": 1}, {\"weight\": 1271, \"source\": 0, \"target\": 7}, {\"weight\": 7856, \"source\": 0, \"target\": 2}, {\"weight\": 12778, \"source\": 0, \"target\": 4}, {\"weight\": 17340, \"source\": 0, \"target\": 6}, {\"weight\": 4001, \"source\": 1, \"target\": 3}, {\"weight\": 7932, \"source\": 1, \"target\": 5}, {\"weight\": 12353, \"source\": 1, \"target\": 8}, {\"weight\": 18412, \"source\": 1, \"target\": 7}, {\"weight\": 11548, \"source\": 1, \"target\": 2}, {\"weight\": 9362, \"source\": 1, \"target\": 4}, {\"weight\": 1844, \"source\": 1, \"target\": 6}, {\"weight\": 10493, \"source\": 2, \"target\": 3}, {\"weight\": 16516, \"source\": 2, \"target\": 5}, {\"weight\": 15632, \"source\": 2, \"target\": 8}, {\"weight\": 8104, \"source\": 2, \"target\": 7}, {\"weight\": 13858, \"source\": 2, \"target\": 4}, {\"weight\": 10487, \"source\": 2, \"target\": 6}, {\"weight\": 11066, \"source\": 3, \"target\": 5}, {\"weight\": 15734, \"source\": 3, \"target\": 8}, {\"weight\": 15608, \"source\": 3, \"target\": 7}, {\"weight\": 12694, \"source\": 3, \"target\": 4}, {\"weight\": 4763, \"source\": 3, \"target\": 6}, {\"weight\": 3990, \"source\": 4, \"target\": 5}, {\"weight\": 4542, \"source\": 4, \"target\": 8}, {\"weight\": 13811, \"source\": 4, \"target\": 7}, {\"weight\": 9607, \"source\": 4, \"target\": 6}, {\"weight\": 7579, \"source\": 5, \"target\": 8}, {\"weight\": 16626, \"source\": 5, \"target\": 7}, {\"weight\": 8412, \"source\": 5, \"target\": 6}, {\"weight\": 11996, \"source\": 6, \"target\": 8}, {\"weight\": 17325, \"source\": 6, \"target\": 7}, {\"weight\": 14013, \"source\": 7, \"target\": 8}]}",
"id": 987,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWB, OZZ, UBP, DLA, CNY, ELH, ZAZ, OOL, PTU\n- Travel distances (in kilometers) between each pair of airports:\nTWB to DLA: 15643\nTWB to ELH: 15621\nTWB to PTU: 12980\nTWB to OZZ: 18454\nTWB to OOL: 1271\nTWB to UBP: 7856\nTWB to CNY: 12778\nTWB to ZAZ: 17340\nOZZ to DLA: 4001\nOZZ to ELH: 7932\nOZZ to PTU: 12353\nOZZ to OOL: 18412\nOZZ to UBP: 11548\nOZZ to CNY: 9362\nOZZ to ZAZ: 1844\nUBP to DLA: 10493\nUBP to ELH: 16516\nUBP to PTU: 15632\nUBP to OOL: 8104\nUBP to CNY: 13858\nUBP to ZAZ: 10487\nDLA to ELH: 11066\nDLA to PTU: 15734\nDLA to OOL: 15608\nDLA to CNY: 12694\nDLA to ZAZ: 4763\nCNY to ELH: 3990\nCNY to PTU: 4542\nCNY to OOL: 13811\nCNY to ZAZ: 9607\nELH to PTU: 7579\nELH to OOL: 16626\nELH to ZAZ: 8412\nZAZ to PTU: 11996\nZAZ to OOL: 17325\nOOL to PTU: 14013\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEN, BTU, KRS, BGG, NAY, JGA, BNA, IPH, STG\n- Travel distances (in kilometers) between each pair of airports:\nCEN to BNA: 2704\nCEN to JGA: 16395\nCEN to BTU: 14384\nCEN to STG: 6049\nCEN to KRS: 9157\nCEN to IPH: 15684\nCEN to NAY: 11416\nCEN to BGG: 12576\nBTU to BNA: 15262\nBTU to JGA: 5348\nBTU to STG: 15769\nBTU to KRS: 11146\nBTU to IPH: 1534\nBTU to NAY: 4269\nBTU to BGG: 9934\nKRS to BNA: 6950\nKRS to JGA: 7350\nKRS to STG: 11119\nKRS to IPH: 10798\nKRS to NAY: 7783\nKRS to BGG: 3425\nBGG to BNA: 10223\nBGG to JGA: 5609\nBGG to STG: 14538\nBGG to IPH: 9454\nBGG to NAY: 7598\nNAY to BNA: 11721\nNAY to JGA: 5262\nNAY to STG: 12485\nNAY to IPH: 4958\nJGA to BNA: 14043\nJGA to STG: 17492\nJGA to IPH: 4868\nBNA to STG: 6395\nBNA to IPH: 16189\nIPH to STG: 17017\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47893,
"style": "rule"
}
|
{
"exact_answer": 47893,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CEN\", \"id\": 0}, {\"name\": \"BTU\", \"id\": 1}, {\"name\": \"KRS\", \"id\": 2}, {\"name\": \"BGG\", \"id\": 3}, {\"name\": \"NAY\", \"id\": 4}, {\"name\": \"JGA\", \"id\": 5}, {\"name\": \"BNA\", \"id\": 6}, {\"name\": \"IPH\", \"id\": 7}, {\"name\": \"STG\", \"id\": 8}], \"links\": [{\"weight\": 2704, \"source\": 0, \"target\": 6}, {\"weight\": 16395, \"source\": 0, \"target\": 5}, {\"weight\": 14384, \"source\": 0, \"target\": 1}, {\"weight\": 6049, \"source\": 0, \"target\": 8}, {\"weight\": 9157, \"source\": 0, \"target\": 2}, {\"weight\": 15684, \"source\": 0, \"target\": 7}, {\"weight\": 11416, \"source\": 0, \"target\": 4}, {\"weight\": 12576, \"source\": 0, \"target\": 3}, {\"weight\": 15262, \"source\": 1, \"target\": 6}, {\"weight\": 5348, \"source\": 1, \"target\": 5}, {\"weight\": 15769, \"source\": 1, \"target\": 8}, {\"weight\": 11146, \"source\": 1, \"target\": 2}, {\"weight\": 1534, \"source\": 1, \"target\": 7}, {\"weight\": 4269, \"source\": 1, \"target\": 4}, {\"weight\": 9934, \"source\": 1, \"target\": 3}, {\"weight\": 6950, \"source\": 2, \"target\": 6}, {\"weight\": 7350, \"source\": 2, \"target\": 5}, {\"weight\": 11119, \"source\": 2, \"target\": 8}, {\"weight\": 10798, \"source\": 2, \"target\": 7}, {\"weight\": 7783, \"source\": 2, \"target\": 4}, {\"weight\": 3425, \"source\": 2, \"target\": 3}, {\"weight\": 10223, \"source\": 3, \"target\": 6}, {\"weight\": 5609, \"source\": 3, \"target\": 5}, {\"weight\": 14538, \"source\": 3, \"target\": 8}, {\"weight\": 9454, \"source\": 3, \"target\": 7}, {\"weight\": 7598, \"source\": 3, \"target\": 4}, {\"weight\": 11721, \"source\": 4, \"target\": 6}, {\"weight\": 5262, \"source\": 4, \"target\": 5}, {\"weight\": 12485, \"source\": 4, \"target\": 8}, {\"weight\": 4958, \"source\": 4, \"target\": 7}, {\"weight\": 14043, \"source\": 5, \"target\": 6}, {\"weight\": 17492, \"source\": 5, \"target\": 8}, {\"weight\": 4868, \"source\": 5, \"target\": 7}, {\"weight\": 6395, \"source\": 6, \"target\": 8}, {\"weight\": 16189, \"source\": 6, \"target\": 7}, {\"weight\": 17017, \"source\": 7, \"target\": 8}]}",
"id": 988,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEN, BTU, KRS, BGG, NAY, JGA, BNA, IPH, STG\n- Travel distances (in kilometers) between each pair of airports:\nCEN to BNA: 2704\nCEN to JGA: 16395\nCEN to BTU: 14384\nCEN to STG: 6049\nCEN to KRS: 9157\nCEN to IPH: 15684\nCEN to NAY: 11416\nCEN to BGG: 12576\nBTU to BNA: 15262\nBTU to JGA: 5348\nBTU to STG: 15769\nBTU to KRS: 11146\nBTU to IPH: 1534\nBTU to NAY: 4269\nBTU to BGG: 9934\nKRS to BNA: 6950\nKRS to JGA: 7350\nKRS to STG: 11119\nKRS to IPH: 10798\nKRS to NAY: 7783\nKRS to BGG: 3425\nBGG to BNA: 10223\nBGG to JGA: 5609\nBGG to STG: 14538\nBGG to IPH: 9454\nBGG to NAY: 7598\nNAY to BNA: 11721\nNAY to JGA: 5262\nNAY to STG: 12485\nNAY to IPH: 4958\nJGA to BNA: 14043\nJGA to STG: 17492\nJGA to IPH: 4868\nBNA to STG: 6395\nBNA to IPH: 16189\nIPH to STG: 17017\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YTQ, AAY, EAE, IFN, KFS, JEG, BFL, YZG, FMN\n- Travel distances (in kilometers) between each pair of airports:\nYTQ to YZG: 614\nYTQ to BFL: 4941\nYTQ to IFN: 10422\nYTQ to FMN: 4050\nYTQ to AAY: 12149\nYTQ to JEG: 7761\nYTQ to EAE: 14680\nYTQ to KFS: 8597\nAAY to YZG: 12730\nAAY to BFL: 15252\nAAY to IFN: 2968\nAAY to FMN: 14388\nAAY to JEG: 9698\nAAY to EAE: 15529\nAAY to KFS: 4534\nEAE to YZG: 14731\nEAE to BFL: 10100\nEAE to IFN: 14239\nEAE to FMN: 11042\nEAE to JEG: 18143\nEAE to KFS: 16298\nIFN to YZG: 11003\nIFN to BFL: 13090\nIFN to FMN: 12571\nIFN to JEG: 7882\nIFN to KFS: 2717\nKFS to YZG: 9178\nKFS to BFL: 11611\nKFS to FMN: 10746\nKFS to JEG: 6057\nJEG to YZG: 8260\nJEG to BFL: 9003\nJEG to FMN: 8112\nBFL to YZG: 4992\nBFL to FMN: 1208\nYZG to FMN: 4101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51055,
"style": "rule"
}
|
{
"exact_answer": 51055,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YTQ\", \"id\": 0}, {\"name\": \"AAY\", \"id\": 1}, {\"name\": \"EAE\", \"id\": 2}, {\"name\": \"IFN\", \"id\": 3}, {\"name\": \"KFS\", \"id\": 4}, {\"name\": \"JEG\", \"id\": 5}, {\"name\": \"BFL\", \"id\": 6}, {\"name\": \"YZG\", \"id\": 7}, {\"name\": \"FMN\", \"id\": 8}], \"links\": [{\"weight\": 614, \"source\": 0, \"target\": 7}, {\"weight\": 4941, \"source\": 0, \"target\": 6}, {\"weight\": 10422, \"source\": 0, \"target\": 3}, {\"weight\": 4050, \"source\": 0, \"target\": 8}, {\"weight\": 12149, \"source\": 0, \"target\": 1}, {\"weight\": 7761, \"source\": 0, \"target\": 5}, {\"weight\": 14680, \"source\": 0, \"target\": 2}, {\"weight\": 8597, \"source\": 0, \"target\": 4}, {\"weight\": 12730, \"source\": 1, \"target\": 7}, {\"weight\": 15252, \"source\": 1, \"target\": 6}, {\"weight\": 2968, \"source\": 1, \"target\": 3}, {\"weight\": 14388, \"source\": 1, \"target\": 8}, {\"weight\": 9698, \"source\": 1, \"target\": 5}, {\"weight\": 15529, \"source\": 1, \"target\": 2}, {\"weight\": 4534, \"source\": 1, \"target\": 4}, {\"weight\": 14731, \"source\": 2, \"target\": 7}, {\"weight\": 10100, \"source\": 2, \"target\": 6}, {\"weight\": 14239, \"source\": 2, \"target\": 3}, {\"weight\": 11042, \"source\": 2, \"target\": 8}, {\"weight\": 18143, \"source\": 2, \"target\": 5}, {\"weight\": 16298, \"source\": 2, \"target\": 4}, {\"weight\": 11003, \"source\": 3, \"target\": 7}, {\"weight\": 13090, \"source\": 3, \"target\": 6}, {\"weight\": 12571, \"source\": 3, \"target\": 8}, {\"weight\": 7882, \"source\": 3, \"target\": 5}, {\"weight\": 2717, \"source\": 3, \"target\": 4}, {\"weight\": 9178, \"source\": 4, \"target\": 7}, {\"weight\": 11611, \"source\": 4, \"target\": 6}, {\"weight\": 10746, \"source\": 4, \"target\": 8}, {\"weight\": 6057, \"source\": 4, \"target\": 5}, {\"weight\": 8260, \"source\": 5, \"target\": 7}, {\"weight\": 9003, \"source\": 5, \"target\": 6}, {\"weight\": 8112, \"source\": 5, \"target\": 8}, {\"weight\": 4992, \"source\": 6, \"target\": 7}, {\"weight\": 1208, \"source\": 6, \"target\": 8}, {\"weight\": 4101, \"source\": 7, \"target\": 8}]}",
"id": 989,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YTQ, AAY, EAE, IFN, KFS, JEG, BFL, YZG, FMN\n- Travel distances (in kilometers) between each pair of airports:\nYTQ to YZG: 614\nYTQ to BFL: 4941\nYTQ to IFN: 10422\nYTQ to FMN: 4050\nYTQ to AAY: 12149\nYTQ to JEG: 7761\nYTQ to EAE: 14680\nYTQ to KFS: 8597\nAAY to YZG: 12730\nAAY to BFL: 15252\nAAY to IFN: 2968\nAAY to FMN: 14388\nAAY to JEG: 9698\nAAY to EAE: 15529\nAAY to KFS: 4534\nEAE to YZG: 14731\nEAE to BFL: 10100\nEAE to IFN: 14239\nEAE to FMN: 11042\nEAE to JEG: 18143\nEAE to KFS: 16298\nIFN to YZG: 11003\nIFN to BFL: 13090\nIFN to FMN: 12571\nIFN to JEG: 7882\nIFN to KFS: 2717\nKFS to YZG: 9178\nKFS to BFL: 11611\nKFS to FMN: 10746\nKFS to JEG: 6057\nJEG to YZG: 8260\nJEG to BFL: 9003\nJEG to FMN: 8112\nBFL to YZG: 4992\nBFL to FMN: 1208\nYZG to FMN: 4101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KQT, JDH, TWB, STM, CDJ, LEJ, AYP, NVI, DOL\n- Travel distances (in kilometers) between each pair of airports:\nKQT to AYP: 16064\nKQT to NVI: 2108\nKQT to LEJ: 4768\nKQT to JDH: 3178\nKQT to STM: 14138\nKQT to DOL: 5778\nKQT to TWB: 12240\nKQT to CDJ: 14120\nJDH to AYP: 17602\nJDH to NVI: 2424\nJDH to LEJ: 6503\nJDH to STM: 15426\nJDH to DOL: 7411\nJDH to TWB: 10801\nJDH to CDJ: 15288\nTWB to AYP: 14855\nTWB to NVI: 12066\nTWB to LEJ: 15922\nTWB to STM: 17838\nTWB to DOL: 16894\nTWB to CDJ: 17088\nSTM to AYP: 5623\nSTM to NVI: 13740\nSTM to LEJ: 9631\nSTM to DOL: 9197\nSTM to CDJ: 1550\nCDJ to AYP: 6235\nCDJ to NVI: 13839\nCDJ to LEJ: 9493\nCDJ to DOL: 9169\nLEJ to AYP: 11354\nLEJ to NVI: 4370\nLEJ to DOL: 1083\nAYP to NVI: 15666\nAYP to DOL: 11294\nNVI to DOL: 5380\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52381,
"style": "rule"
}
|
{
"exact_answer": 52381,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KQT\", \"id\": 0}, {\"name\": \"JDH\", \"id\": 1}, {\"name\": \"TWB\", \"id\": 2}, {\"name\": \"STM\", \"id\": 3}, {\"name\": \"CDJ\", \"id\": 4}, {\"name\": \"LEJ\", \"id\": 5}, {\"name\": \"AYP\", \"id\": 6}, {\"name\": \"NVI\", \"id\": 7}, {\"name\": \"DOL\", \"id\": 8}], \"links\": [{\"weight\": 16064, \"source\": 0, \"target\": 6}, {\"weight\": 2108, \"source\": 0, \"target\": 7}, {\"weight\": 4768, \"source\": 0, \"target\": 5}, {\"weight\": 3178, \"source\": 0, \"target\": 1}, {\"weight\": 14138, \"source\": 0, \"target\": 3}, {\"weight\": 5778, \"source\": 0, \"target\": 8}, {\"weight\": 12240, \"source\": 0, \"target\": 2}, {\"weight\": 14120, \"source\": 0, \"target\": 4}, {\"weight\": 17602, \"source\": 1, \"target\": 6}, {\"weight\": 2424, \"source\": 1, \"target\": 7}, {\"weight\": 6503, \"source\": 1, \"target\": 5}, {\"weight\": 15426, \"source\": 1, \"target\": 3}, {\"weight\": 7411, \"source\": 1, \"target\": 8}, {\"weight\": 10801, \"source\": 1, \"target\": 2}, {\"weight\": 15288, \"source\": 1, \"target\": 4}, {\"weight\": 14855, \"source\": 2, \"target\": 6}, {\"weight\": 12066, \"source\": 2, \"target\": 7}, {\"weight\": 15922, \"source\": 2, \"target\": 5}, {\"weight\": 17838, \"source\": 2, \"target\": 3}, {\"weight\": 16894, \"source\": 2, \"target\": 8}, {\"weight\": 17088, \"source\": 2, \"target\": 4}, {\"weight\": 5623, \"source\": 3, \"target\": 6}, {\"weight\": 13740, \"source\": 3, \"target\": 7}, {\"weight\": 9631, \"source\": 3, \"target\": 5}, {\"weight\": 9197, \"source\": 3, \"target\": 8}, {\"weight\": 1550, \"source\": 3, \"target\": 4}, {\"weight\": 6235, \"source\": 4, \"target\": 6}, {\"weight\": 13839, \"source\": 4, \"target\": 7}, {\"weight\": 9493, \"source\": 4, \"target\": 5}, {\"weight\": 9169, \"source\": 4, \"target\": 8}, {\"weight\": 11354, \"source\": 5, \"target\": 6}, {\"weight\": 4370, \"source\": 5, \"target\": 7}, {\"weight\": 1083, \"source\": 5, \"target\": 8}, {\"weight\": 15666, \"source\": 6, \"target\": 7}, {\"weight\": 11294, \"source\": 6, \"target\": 8}, {\"weight\": 5380, \"source\": 7, \"target\": 8}]}",
"id": 990,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KQT, JDH, TWB, STM, CDJ, LEJ, AYP, NVI, DOL\n- Travel distances (in kilometers) between each pair of airports:\nKQT to AYP: 16064\nKQT to NVI: 2108\nKQT to LEJ: 4768\nKQT to JDH: 3178\nKQT to STM: 14138\nKQT to DOL: 5778\nKQT to TWB: 12240\nKQT to CDJ: 14120\nJDH to AYP: 17602\nJDH to NVI: 2424\nJDH to LEJ: 6503\nJDH to STM: 15426\nJDH to DOL: 7411\nJDH to TWB: 10801\nJDH to CDJ: 15288\nTWB to AYP: 14855\nTWB to NVI: 12066\nTWB to LEJ: 15922\nTWB to STM: 17838\nTWB to DOL: 16894\nTWB to CDJ: 17088\nSTM to AYP: 5623\nSTM to NVI: 13740\nSTM to LEJ: 9631\nSTM to DOL: 9197\nSTM to CDJ: 1550\nCDJ to AYP: 6235\nCDJ to NVI: 13839\nCDJ to LEJ: 9493\nCDJ to DOL: 9169\nLEJ to AYP: 11354\nLEJ to NVI: 4370\nLEJ to DOL: 1083\nAYP to NVI: 15666\nAYP to DOL: 11294\nNVI to DOL: 5380\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IPN, TQL, PKU, SCE, GOV, KPN, GGG, YYT, JSY\n- Travel distances (in kilometers) between each pair of airports:\nIPN to KPN: 13766\nIPN to JSY: 10310\nIPN to GGG: 8577\nIPN to SCE: 7867\nIPN to YYT: 9266\nIPN to PKU: 16809\nIPN to GOV: 17576\nIPN to TQL: 13977\nTQL to KPN: 14803\nTQL to JSY: 4806\nTQL to GGG: 12199\nTQL to SCE: 10426\nTQL to YYT: 8754\nTQL to PKU: 8415\nTQL to GOV: 11522\nPKU to KPN: 16355\nPKU to JSY: 9141\nPKU to GGG: 16079\nPKU to SCE: 15798\nPKU to YYT: 14575\nPKU to GOV: 4285\nSCE to KPN: 6162\nSCE to JSY: 8433\nSCE to GGG: 2293\nSCE to YYT: 2237\nSCE to GOV: 17574\nGOV to KPN: 15297\nGOV to JSY: 13167\nGOV to GGG: 16069\nGOV to YYT: 18311\nKPN to JSY: 13233\nKPN to GGG: 5911\nKPN to YYT: 7974\nGGG to JSY: 10382\nGGG to YYT: 4274\nYYT to JSY: 6246\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62820,
"style": "rule"
}
|
{
"exact_answer": 62820,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IPN\", \"id\": 0}, {\"name\": \"TQL\", \"id\": 1}, {\"name\": \"PKU\", \"id\": 2}, {\"name\": \"SCE\", \"id\": 3}, {\"name\": \"GOV\", \"id\": 4}, {\"name\": \"KPN\", \"id\": 5}, {\"name\": \"GGG\", \"id\": 6}, {\"name\": \"YYT\", \"id\": 7}, {\"name\": \"JSY\", \"id\": 8}], \"links\": [{\"weight\": 13766, \"source\": 0, \"target\": 5}, {\"weight\": 10310, \"source\": 0, \"target\": 8}, {\"weight\": 8577, \"source\": 0, \"target\": 6}, {\"weight\": 7867, \"source\": 0, \"target\": 3}, {\"weight\": 9266, \"source\": 0, \"target\": 7}, {\"weight\": 16809, \"source\": 0, \"target\": 2}, {\"weight\": 17576, \"source\": 0, \"target\": 4}, {\"weight\": 13977, \"source\": 0, \"target\": 1}, {\"weight\": 14803, \"source\": 1, \"target\": 5}, {\"weight\": 4806, \"source\": 1, \"target\": 8}, {\"weight\": 12199, \"source\": 1, \"target\": 6}, {\"weight\": 10426, \"source\": 1, \"target\": 3}, {\"weight\": 8754, \"source\": 1, \"target\": 7}, {\"weight\": 8415, \"source\": 1, \"target\": 2}, {\"weight\": 11522, \"source\": 1, \"target\": 4}, {\"weight\": 16355, \"source\": 2, \"target\": 5}, {\"weight\": 9141, \"source\": 2, \"target\": 8}, {\"weight\": 16079, \"source\": 2, \"target\": 6}, {\"weight\": 15798, \"source\": 2, \"target\": 3}, {\"weight\": 14575, \"source\": 2, \"target\": 7}, {\"weight\": 4285, \"source\": 2, \"target\": 4}, {\"weight\": 6162, \"source\": 3, \"target\": 5}, {\"weight\": 8433, \"source\": 3, \"target\": 8}, {\"weight\": 2293, \"source\": 3, \"target\": 6}, {\"weight\": 2237, \"source\": 3, \"target\": 7}, {\"weight\": 17574, \"source\": 3, \"target\": 4}, {\"weight\": 15297, \"source\": 4, \"target\": 5}, {\"weight\": 13167, \"source\": 4, \"target\": 8}, {\"weight\": 16069, \"source\": 4, \"target\": 6}, {\"weight\": 18311, \"source\": 4, \"target\": 7}, {\"weight\": 13233, \"source\": 5, \"target\": 8}, {\"weight\": 5911, \"source\": 5, \"target\": 6}, {\"weight\": 7974, \"source\": 5, \"target\": 7}, {\"weight\": 10382, \"source\": 6, \"target\": 8}, {\"weight\": 4274, \"source\": 6, \"target\": 7}, {\"weight\": 6246, \"source\": 7, \"target\": 8}]}",
"id": 991,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IPN, TQL, PKU, SCE, GOV, KPN, GGG, YYT, JSY\n- Travel distances (in kilometers) between each pair of airports:\nIPN to KPN: 13766\nIPN to JSY: 10310\nIPN to GGG: 8577\nIPN to SCE: 7867\nIPN to YYT: 9266\nIPN to PKU: 16809\nIPN to GOV: 17576\nIPN to TQL: 13977\nTQL to KPN: 14803\nTQL to JSY: 4806\nTQL to GGG: 12199\nTQL to SCE: 10426\nTQL to YYT: 8754\nTQL to PKU: 8415\nTQL to GOV: 11522\nPKU to KPN: 16355\nPKU to JSY: 9141\nPKU to GGG: 16079\nPKU to SCE: 15798\nPKU to YYT: 14575\nPKU to GOV: 4285\nSCE to KPN: 6162\nSCE to JSY: 8433\nSCE to GGG: 2293\nSCE to YYT: 2237\nSCE to GOV: 17574\nGOV to KPN: 15297\nGOV to JSY: 13167\nGOV to GGG: 16069\nGOV to YYT: 18311\nKPN to JSY: 13233\nKPN to GGG: 5911\nKPN to YYT: 7974\nGGG to JSY: 10382\nGGG to YYT: 4274\nYYT to JSY: 6246\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUG, VER, BTI, CKD, YRT, ZYL, SOQ, RVV, MGF\n- Travel distances (in kilometers) between each pair of airports:\nFUG to ZYL: 3317\nFUG to VER: 13543\nFUG to YRT: 12258\nFUG to BTI: 12572\nFUG to CKD: 12399\nFUG to MGF: 18610\nFUG to SOQ: 5662\nFUG to RVV: 12664\nVER to ZYL: 16303\nVER to YRT: 4976\nVER to BTI: 7156\nVER to CKD: 6966\nVER to MGF: 7953\nVER to SOQ: 18258\nVER to RVV: 10146\nBTI to ZYL: 15332\nBTI to YRT: 6141\nBTI to CKD: 1639\nBTI to MGF: 14220\nBTI to SOQ: 17508\nBTI to RVV: 10669\nCKD to ZYL: 15159\nCKD to YRT: 5968\nCKD to MGF: 13802\nCKD to SOQ: 17302\nCKD to RVV: 10214\nYRT to ZYL: 15018\nYRT to MGF: 11270\nYRT to SOQ: 17105\nYRT to RVV: 11297\nZYL to MGF: 16434\nZYL to SOQ: 6159\nZYL to RVV: 15403\nSOQ to MGF: 19728\nSOQ to RVV: 13299\nRVV to MGF: 11457\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67340,
"style": "rule"
}
|
{
"exact_answer": 67340,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FUG\", \"id\": 0}, {\"name\": \"VER\", \"id\": 1}, {\"name\": \"BTI\", \"id\": 2}, {\"name\": \"CKD\", \"id\": 3}, {\"name\": \"YRT\", \"id\": 4}, {\"name\": \"ZYL\", \"id\": 5}, {\"name\": \"SOQ\", \"id\": 6}, {\"name\": \"RVV\", \"id\": 7}, {\"name\": \"MGF\", \"id\": 8}], \"links\": [{\"weight\": 3317, \"source\": 0, \"target\": 5}, {\"weight\": 13543, \"source\": 0, \"target\": 1}, {\"weight\": 12258, \"source\": 0, \"target\": 4}, {\"weight\": 12572, \"source\": 0, \"target\": 2}, {\"weight\": 12399, \"source\": 0, \"target\": 3}, {\"weight\": 18610, \"source\": 0, \"target\": 8}, {\"weight\": 5662, \"source\": 0, \"target\": 6}, {\"weight\": 12664, \"source\": 0, \"target\": 7}, {\"weight\": 16303, \"source\": 1, \"target\": 5}, {\"weight\": 4976, \"source\": 1, \"target\": 4}, {\"weight\": 7156, \"source\": 1, \"target\": 2}, {\"weight\": 6966, \"source\": 1, \"target\": 3}, {\"weight\": 7953, \"source\": 1, \"target\": 8}, {\"weight\": 18258, \"source\": 1, \"target\": 6}, {\"weight\": 10146, \"source\": 1, \"target\": 7}, {\"weight\": 15332, \"source\": 2, \"target\": 5}, {\"weight\": 6141, \"source\": 2, \"target\": 4}, {\"weight\": 1639, \"source\": 2, \"target\": 3}, {\"weight\": 14220, \"source\": 2, \"target\": 8}, {\"weight\": 17508, \"source\": 2, \"target\": 6}, {\"weight\": 10669, \"source\": 2, \"target\": 7}, {\"weight\": 15159, \"source\": 3, \"target\": 5}, {\"weight\": 5968, \"source\": 3, \"target\": 4}, {\"weight\": 13802, \"source\": 3, \"target\": 8}, {\"weight\": 17302, \"source\": 3, \"target\": 6}, {\"weight\": 10214, \"source\": 3, \"target\": 7}, {\"weight\": 15018, \"source\": 4, \"target\": 5}, {\"weight\": 11270, \"source\": 4, \"target\": 8}, {\"weight\": 17105, \"source\": 4, \"target\": 6}, {\"weight\": 11297, \"source\": 4, \"target\": 7}, {\"weight\": 16434, \"source\": 5, \"target\": 8}, {\"weight\": 6159, \"source\": 5, \"target\": 6}, {\"weight\": 15403, \"source\": 5, \"target\": 7}, {\"weight\": 19728, \"source\": 6, \"target\": 8}, {\"weight\": 13299, \"source\": 6, \"target\": 7}, {\"weight\": 11457, \"source\": 7, \"target\": 8}]}",
"id": 992,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUG, VER, BTI, CKD, YRT, ZYL, SOQ, RVV, MGF\n- Travel distances (in kilometers) between each pair of airports:\nFUG to ZYL: 3317\nFUG to VER: 13543\nFUG to YRT: 12258\nFUG to BTI: 12572\nFUG to CKD: 12399\nFUG to MGF: 18610\nFUG to SOQ: 5662\nFUG to RVV: 12664\nVER to ZYL: 16303\nVER to YRT: 4976\nVER to BTI: 7156\nVER to CKD: 6966\nVER to MGF: 7953\nVER to SOQ: 18258\nVER to RVV: 10146\nBTI to ZYL: 15332\nBTI to YRT: 6141\nBTI to CKD: 1639\nBTI to MGF: 14220\nBTI to SOQ: 17508\nBTI to RVV: 10669\nCKD to ZYL: 15159\nCKD to YRT: 5968\nCKD to MGF: 13802\nCKD to SOQ: 17302\nCKD to RVV: 10214\nYRT to ZYL: 15018\nYRT to MGF: 11270\nYRT to SOQ: 17105\nYRT to RVV: 11297\nZYL to MGF: 16434\nZYL to SOQ: 6159\nZYL to RVV: 15403\nSOQ to MGF: 19728\nSOQ to RVV: 13299\nRVV to MGF: 11457\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ZOS, JOL, WNR, XRY, TAI, SGY, ZHA, YYD\n- Travel distances (in kilometers) between each pair of airports:\nBDH to ZHA: 5779\nBDH to XRY: 5944\nBDH to YYD: 12965\nBDH to TAI: 1939\nBDH to SGY: 13667\nBDH to ZOS: 15794\nBDH to JOL: 8058\nBDH to WNR: 11558\nZOS to ZHA: 19944\nZOS to XRY: 11516\nZOS to YYD: 12049\nZOS to TAI: 14233\nZOS to SGY: 12808\nZOS to JOL: 18825\nZOS to WNR: 13860\nJOL to ZHA: 2533\nJOL to XRY: 13087\nJOL to YYD: 12047\nJOL to TAI: 9481\nJOL to SGY: 13105\nJOL to WNR: 6409\nWNR to ZHA: 6938\nWNR to XRY: 17278\nWNR to YYD: 13682\nWNR to TAI: 12745\nWNR to SGY: 14164\nXRY to ZHA: 10889\nXRY to YYD: 9578\nXRY to TAI: 6006\nXRY to SGY: 10898\nTAI to ZHA: 7289\nTAI to YYD: 13609\nTAI to SGY: 14929\nSGY to ZHA: 12353\nSGY to YYD: 2476\nZHA to YYD: 11272\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61388,
"style": "rule"
}
|
{
"exact_answer": 61388,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BDH\", \"id\": 0}, {\"name\": \"ZOS\", \"id\": 1}, {\"name\": \"JOL\", \"id\": 2}, {\"name\": \"WNR\", \"id\": 3}, {\"name\": \"XRY\", \"id\": 4}, {\"name\": \"TAI\", \"id\": 5}, {\"name\": \"SGY\", \"id\": 6}, {\"name\": \"ZHA\", \"id\": 7}, {\"name\": \"YYD\", \"id\": 8}], \"links\": [{\"weight\": 5779, \"source\": 0, \"target\": 7}, {\"weight\": 5944, \"source\": 0, \"target\": 4}, {\"weight\": 12965, \"source\": 0, \"target\": 8}, {\"weight\": 1939, \"source\": 0, \"target\": 5}, {\"weight\": 13667, \"source\": 0, \"target\": 6}, {\"weight\": 15794, \"source\": 0, \"target\": 1}, {\"weight\": 8058, \"source\": 0, \"target\": 2}, {\"weight\": 11558, \"source\": 0, \"target\": 3}, {\"weight\": 19944, \"source\": 1, \"target\": 7}, {\"weight\": 11516, \"source\": 1, \"target\": 4}, {\"weight\": 12049, \"source\": 1, \"target\": 8}, {\"weight\": 14233, \"source\": 1, \"target\": 5}, {\"weight\": 12808, \"source\": 1, \"target\": 6}, {\"weight\": 18825, \"source\": 1, \"target\": 2}, {\"weight\": 13860, \"source\": 1, \"target\": 3}, {\"weight\": 2533, \"source\": 2, \"target\": 7}, {\"weight\": 13087, \"source\": 2, \"target\": 4}, {\"weight\": 12047, \"source\": 2, \"target\": 8}, {\"weight\": 9481, \"source\": 2, \"target\": 5}, {\"weight\": 13105, \"source\": 2, \"target\": 6}, {\"weight\": 6409, \"source\": 2, \"target\": 3}, {\"weight\": 6938, \"source\": 3, \"target\": 7}, {\"weight\": 17278, \"source\": 3, \"target\": 4}, {\"weight\": 13682, \"source\": 3, \"target\": 8}, {\"weight\": 12745, \"source\": 3, \"target\": 5}, {\"weight\": 14164, \"source\": 3, \"target\": 6}, {\"weight\": 10889, \"source\": 4, \"target\": 7}, {\"weight\": 9578, \"source\": 4, \"target\": 8}, {\"weight\": 6006, \"source\": 4, \"target\": 5}, {\"weight\": 10898, \"source\": 4, \"target\": 6}, {\"weight\": 7289, \"source\": 5, \"target\": 7}, {\"weight\": 13609, \"source\": 5, \"target\": 8}, {\"weight\": 14929, \"source\": 5, \"target\": 6}, {\"weight\": 12353, \"source\": 6, \"target\": 7}, {\"weight\": 2476, \"source\": 6, \"target\": 8}, {\"weight\": 11272, \"source\": 7, \"target\": 8}]}",
"id": 993,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ZOS, JOL, WNR, XRY, TAI, SGY, ZHA, YYD\n- Travel distances (in kilometers) between each pair of airports:\nBDH to ZHA: 5779\nBDH to XRY: 5944\nBDH to YYD: 12965\nBDH to TAI: 1939\nBDH to SGY: 13667\nBDH to ZOS: 15794\nBDH to JOL: 8058\nBDH to WNR: 11558\nZOS to ZHA: 19944\nZOS to XRY: 11516\nZOS to YYD: 12049\nZOS to TAI: 14233\nZOS to SGY: 12808\nZOS to JOL: 18825\nZOS to WNR: 13860\nJOL to ZHA: 2533\nJOL to XRY: 13087\nJOL to YYD: 12047\nJOL to TAI: 9481\nJOL to SGY: 13105\nJOL to WNR: 6409\nWNR to ZHA: 6938\nWNR to XRY: 17278\nWNR to YYD: 13682\nWNR to TAI: 12745\nWNR to SGY: 14164\nXRY to ZHA: 10889\nXRY to YYD: 9578\nXRY to TAI: 6006\nXRY to SGY: 10898\nTAI to ZHA: 7289\nTAI to YYD: 13609\nTAI to SGY: 14929\nSGY to ZHA: 12353\nSGY to YYD: 2476\nZHA to YYD: 11272\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SID, AXU, LNZ, BSB, UIO, MDG, WGA, PBO, XFN\n- Travel distances (in kilometers) between each pair of airports:\nSID to UIO: 8238\nSID to BSB: 4559\nSID to LNZ: 4906\nSID to MDG: 13257\nSID to XFN: 13286\nSID to AXU: 7589\nSID to PBO: 16868\nSID to WGA: 18942\nAXU to UIO: 14882\nAXU to BSB: 11144\nAXU to LNZ: 5589\nAXU to MDG: 10078\nAXU to XFN: 8635\nAXU to PBO: 11710\nAXU to WGA: 13784\nLNZ to UIO: 10263\nLNZ to BSB: 9415\nLNZ to MDG: 8804\nLNZ to XFN: 8481\nLNZ to PBO: 14430\nLNZ to WGA: 16277\nBSB to UIO: 5172\nBSB to MDG: 17774\nBSB to XFN: 17829\nBSB to PBO: 17593\nBSB to WGA: 15171\nUIO to MDG: 15554\nUIO to XFN: 16305\nUIO to PBO: 19390\nUIO to WGA: 15488\nMDG to XFN: 2135\nMDG to PBO: 9668\nMDG to WGA: 9535\nWGA to XFN: 8803\nWGA to PBO: 4054\nPBO to XFN: 8127\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60108,
"style": "rule"
}
|
{
"exact_answer": 60108,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SID\", \"id\": 0}, {\"name\": \"AXU\", \"id\": 1}, {\"name\": \"LNZ\", \"id\": 2}, {\"name\": \"BSB\", \"id\": 3}, {\"name\": \"UIO\", \"id\": 4}, {\"name\": \"MDG\", \"id\": 5}, {\"name\": \"WGA\", \"id\": 6}, {\"name\": \"PBO\", \"id\": 7}, {\"name\": \"XFN\", \"id\": 8}], \"links\": [{\"weight\": 8238, \"source\": 0, \"target\": 4}, {\"weight\": 4559, \"source\": 0, \"target\": 3}, {\"weight\": 4906, \"source\": 0, \"target\": 2}, {\"weight\": 13257, \"source\": 0, \"target\": 5}, {\"weight\": 13286, \"source\": 0, \"target\": 8}, {\"weight\": 7589, \"source\": 0, \"target\": 1}, {\"weight\": 16868, \"source\": 0, \"target\": 7}, {\"weight\": 18942, \"source\": 0, \"target\": 6}, {\"weight\": 14882, \"source\": 1, \"target\": 4}, {\"weight\": 11144, \"source\": 1, \"target\": 3}, {\"weight\": 5589, \"source\": 1, \"target\": 2}, {\"weight\": 10078, \"source\": 1, \"target\": 5}, {\"weight\": 8635, \"source\": 1, \"target\": 8}, {\"weight\": 11710, \"source\": 1, \"target\": 7}, {\"weight\": 13784, \"source\": 1, \"target\": 6}, {\"weight\": 10263, \"source\": 2, \"target\": 4}, {\"weight\": 9415, \"source\": 2, \"target\": 3}, {\"weight\": 8804, \"source\": 2, \"target\": 5}, {\"weight\": 8481, \"source\": 2, \"target\": 8}, {\"weight\": 14430, \"source\": 2, \"target\": 7}, {\"weight\": 16277, \"source\": 2, \"target\": 6}, {\"weight\": 5172, \"source\": 3, \"target\": 4}, {\"weight\": 17774, \"source\": 3, \"target\": 5}, {\"weight\": 17829, \"source\": 3, \"target\": 8}, {\"weight\": 17593, \"source\": 3, \"target\": 7}, {\"weight\": 15171, \"source\": 3, \"target\": 6}, {\"weight\": 15554, \"source\": 4, \"target\": 5}, {\"weight\": 16305, \"source\": 4, \"target\": 8}, {\"weight\": 19390, \"source\": 4, \"target\": 7}, {\"weight\": 15488, \"source\": 4, \"target\": 6}, {\"weight\": 2135, \"source\": 5, \"target\": 8}, {\"weight\": 9668, \"source\": 5, \"target\": 7}, {\"weight\": 9535, \"source\": 5, \"target\": 6}, {\"weight\": 8803, \"source\": 6, \"target\": 8}, {\"weight\": 4054, \"source\": 6, \"target\": 7}, {\"weight\": 8127, \"source\": 7, \"target\": 8}]}",
"id": 994,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SID, AXU, LNZ, BSB, UIO, MDG, WGA, PBO, XFN\n- Travel distances (in kilometers) between each pair of airports:\nSID to UIO: 8238\nSID to BSB: 4559\nSID to LNZ: 4906\nSID to MDG: 13257\nSID to XFN: 13286\nSID to AXU: 7589\nSID to PBO: 16868\nSID to WGA: 18942\nAXU to UIO: 14882\nAXU to BSB: 11144\nAXU to LNZ: 5589\nAXU to MDG: 10078\nAXU to XFN: 8635\nAXU to PBO: 11710\nAXU to WGA: 13784\nLNZ to UIO: 10263\nLNZ to BSB: 9415\nLNZ to MDG: 8804\nLNZ to XFN: 8481\nLNZ to PBO: 14430\nLNZ to WGA: 16277\nBSB to UIO: 5172\nBSB to MDG: 17774\nBSB to XFN: 17829\nBSB to PBO: 17593\nBSB to WGA: 15171\nUIO to MDG: 15554\nUIO to XFN: 16305\nUIO to PBO: 19390\nUIO to WGA: 15488\nMDG to XFN: 2135\nMDG to PBO: 9668\nMDG to WGA: 9535\nWGA to XFN: 8803\nWGA to PBO: 4054\nPBO to XFN: 8127\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AYQ, STC, DIG, WEI, KOE, URY, HLA, SPS, MGF\n- Travel distances (in kilometers) between each pair of airports:\nAYQ to DIG: 7550\nAYQ to SPS: 15843\nAYQ to MGF: 16241\nAYQ to STC: 16680\nAYQ to KOE: 4347\nAYQ to HLA: 11615\nAYQ to WEI: 2410\nAYQ to URY: 12819\nSTC to DIG: 13268\nSTC to SPS: 2104\nSTC to MGF: 9312\nSTC to KOE: 17260\nSTC to HLA: 15689\nSTC to WEI: 16396\nSTC to URY: 12820\nDIG to SPS: 13565\nDIG to MGF: 17209\nDIG to KOE: 5537\nDIG to HLA: 11037\nDIG to WEI: 7776\nDIG to URY: 6461\nWEI to SPS: 15559\nWEI to MGF: 16619\nWEI to KOE: 5006\nWEI to HLA: 13359\nWEI to URY: 13478\nKOE to SPS: 17057\nKOE to MGF: 19251\nKOE to HLA: 11749\nKOE to URY: 10428\nURY to SPS: 13648\nURY to MGF: 12220\nURY to HLA: 7454\nHLA to SPS: 15975\nHLA to MGF: 9043\nSPS to MGF: 8734\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62227,
"style": "rule"
}
|
{
"exact_answer": 62227,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AYQ\", \"id\": 0}, {\"name\": \"STC\", \"id\": 1}, {\"name\": \"DIG\", \"id\": 2}, {\"name\": \"WEI\", \"id\": 3}, {\"name\": \"KOE\", \"id\": 4}, {\"name\": \"URY\", \"id\": 5}, {\"name\": \"HLA\", \"id\": 6}, {\"name\": \"SPS\", \"id\": 7}, {\"name\": \"MGF\", \"id\": 8}], \"links\": [{\"weight\": 7550, \"source\": 0, \"target\": 2}, {\"weight\": 15843, \"source\": 0, \"target\": 7}, {\"weight\": 16241, \"source\": 0, \"target\": 8}, {\"weight\": 16680, \"source\": 0, \"target\": 1}, {\"weight\": 4347, \"source\": 0, \"target\": 4}, {\"weight\": 11615, \"source\": 0, \"target\": 6}, {\"weight\": 2410, \"source\": 0, \"target\": 3}, {\"weight\": 12819, \"source\": 0, \"target\": 5}, {\"weight\": 13268, \"source\": 1, \"target\": 2}, {\"weight\": 2104, \"source\": 1, \"target\": 7}, {\"weight\": 9312, \"source\": 1, \"target\": 8}, {\"weight\": 17260, \"source\": 1, \"target\": 4}, {\"weight\": 15689, \"source\": 1, \"target\": 6}, {\"weight\": 16396, \"source\": 1, \"target\": 3}, {\"weight\": 12820, \"source\": 1, \"target\": 5}, {\"weight\": 13565, \"source\": 2, \"target\": 7}, {\"weight\": 17209, \"source\": 2, \"target\": 8}, {\"weight\": 5537, \"source\": 2, \"target\": 4}, {\"weight\": 11037, \"source\": 2, \"target\": 6}, {\"weight\": 7776, \"source\": 2, \"target\": 3}, {\"weight\": 6461, \"source\": 2, \"target\": 5}, {\"weight\": 15559, \"source\": 3, \"target\": 7}, {\"weight\": 16619, \"source\": 3, \"target\": 8}, {\"weight\": 5006, \"source\": 3, \"target\": 4}, {\"weight\": 13359, \"source\": 3, \"target\": 6}, {\"weight\": 13478, \"source\": 3, \"target\": 5}, {\"weight\": 17057, \"source\": 4, \"target\": 7}, {\"weight\": 19251, \"source\": 4, \"target\": 8}, {\"weight\": 11749, \"source\": 4, \"target\": 6}, {\"weight\": 10428, \"source\": 4, \"target\": 5}, {\"weight\": 13648, \"source\": 5, \"target\": 7}, {\"weight\": 12220, \"source\": 5, \"target\": 8}, {\"weight\": 7454, \"source\": 5, \"target\": 6}, {\"weight\": 15975, \"source\": 6, \"target\": 7}, {\"weight\": 9043, \"source\": 6, \"target\": 8}, {\"weight\": 8734, \"source\": 7, \"target\": 8}]}",
"id": 995,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AYQ, STC, DIG, WEI, KOE, URY, HLA, SPS, MGF\n- Travel distances (in kilometers) between each pair of airports:\nAYQ to DIG: 7550\nAYQ to SPS: 15843\nAYQ to MGF: 16241\nAYQ to STC: 16680\nAYQ to KOE: 4347\nAYQ to HLA: 11615\nAYQ to WEI: 2410\nAYQ to URY: 12819\nSTC to DIG: 13268\nSTC to SPS: 2104\nSTC to MGF: 9312\nSTC to KOE: 17260\nSTC to HLA: 15689\nSTC to WEI: 16396\nSTC to URY: 12820\nDIG to SPS: 13565\nDIG to MGF: 17209\nDIG to KOE: 5537\nDIG to HLA: 11037\nDIG to WEI: 7776\nDIG to URY: 6461\nWEI to SPS: 15559\nWEI to MGF: 16619\nWEI to KOE: 5006\nWEI to HLA: 13359\nWEI to URY: 13478\nKOE to SPS: 17057\nKOE to MGF: 19251\nKOE to HLA: 11749\nKOE to URY: 10428\nURY to SPS: 13648\nURY to MGF: 12220\nURY to HLA: 7454\nHLA to SPS: 15975\nHLA to MGF: 9043\nSPS to MGF: 8734\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAY, LNB, DEF, AQP, ZAG, ALB, DGO, KHD, PAT\n- Travel distances (in kilometers) between each pair of airports:\nCAY to ZAG: 8307\nCAY to PAT: 14559\nCAY to ALB: 4840\nCAY to AQP: 5262\nCAY to DGO: 6086\nCAY to DEF: 11830\nCAY to KHD: 11748\nCAY to LNB: 17525\nLNB to ZAG: 16856\nLNB to PAT: 10962\nLNB to ALB: 13943\nLNB to AQP: 14301\nLNB to DGO: 11714\nLNB to DEF: 14692\nLNB to KHD: 14610\nDEF to ZAG: 3658\nDEF to PAT: 3930\nDEF to ALB: 10483\nDEF to AQP: 15045\nDEF to DGO: 13878\nDEF to KHD: 828\nAQP to ZAG: 11522\nAQP to PAT: 17946\nAQP to ALB: 6865\nAQP to DGO: 5777\nAQP to KHD: 14963\nZAG to PAT: 6522\nZAG to ALB: 6837\nZAG to DGO: 10246\nZAG to KHD: 3576\nALB to PAT: 12629\nALB to DGO: 3553\nALB to KHD: 10401\nDGO to PAT: 15485\nDGO to KHD: 13796\nKHD to PAT: 3848\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53726,
"style": "rule"
}
|
{
"exact_answer": 53726,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAY\", \"id\": 0}, {\"name\": \"LNB\", \"id\": 1}, {\"name\": \"DEF\", \"id\": 2}, {\"name\": \"AQP\", \"id\": 3}, {\"name\": \"ZAG\", \"id\": 4}, {\"name\": \"ALB\", \"id\": 5}, {\"name\": \"DGO\", \"id\": 6}, {\"name\": \"KHD\", \"id\": 7}, {\"name\": \"PAT\", \"id\": 8}], \"links\": [{\"weight\": 8307, \"source\": 0, \"target\": 4}, {\"weight\": 14559, \"source\": 0, \"target\": 8}, {\"weight\": 4840, \"source\": 0, \"target\": 5}, {\"weight\": 5262, \"source\": 0, \"target\": 3}, {\"weight\": 6086, \"source\": 0, \"target\": 6}, {\"weight\": 11830, \"source\": 0, \"target\": 2}, {\"weight\": 11748, \"source\": 0, \"target\": 7}, {\"weight\": 17525, \"source\": 0, \"target\": 1}, {\"weight\": 16856, \"source\": 1, \"target\": 4}, {\"weight\": 10962, \"source\": 1, \"target\": 8}, {\"weight\": 13943, \"source\": 1, \"target\": 5}, {\"weight\": 14301, \"source\": 1, \"target\": 3}, {\"weight\": 11714, \"source\": 1, \"target\": 6}, {\"weight\": 14692, \"source\": 1, \"target\": 2}, {\"weight\": 14610, \"source\": 1, \"target\": 7}, {\"weight\": 3658, \"source\": 2, \"target\": 4}, {\"weight\": 3930, \"source\": 2, \"target\": 8}, {\"weight\": 10483, \"source\": 2, \"target\": 5}, {\"weight\": 15045, \"source\": 2, \"target\": 3}, {\"weight\": 13878, \"source\": 2, \"target\": 6}, {\"weight\": 828, \"source\": 2, \"target\": 7}, {\"weight\": 11522, \"source\": 3, \"target\": 4}, {\"weight\": 17946, \"source\": 3, \"target\": 8}, {\"weight\": 6865, \"source\": 3, \"target\": 5}, {\"weight\": 5777, \"source\": 3, \"target\": 6}, {\"weight\": 14963, \"source\": 3, \"target\": 7}, {\"weight\": 6522, \"source\": 4, \"target\": 8}, {\"weight\": 6837, \"source\": 4, \"target\": 5}, {\"weight\": 10246, \"source\": 4, \"target\": 6}, {\"weight\": 3576, \"source\": 4, \"target\": 7}, {\"weight\": 12629, \"source\": 5, \"target\": 8}, {\"weight\": 3553, \"source\": 5, \"target\": 6}, {\"weight\": 10401, \"source\": 5, \"target\": 7}, {\"weight\": 15485, \"source\": 6, \"target\": 8}, {\"weight\": 13796, \"source\": 6, \"target\": 7}, {\"weight\": 3848, \"source\": 7, \"target\": 8}]}",
"id": 996,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAY, LNB, DEF, AQP, ZAG, ALB, DGO, KHD, PAT\n- Travel distances (in kilometers) between each pair of airports:\nCAY to ZAG: 8307\nCAY to PAT: 14559\nCAY to ALB: 4840\nCAY to AQP: 5262\nCAY to DGO: 6086\nCAY to DEF: 11830\nCAY to KHD: 11748\nCAY to LNB: 17525\nLNB to ZAG: 16856\nLNB to PAT: 10962\nLNB to ALB: 13943\nLNB to AQP: 14301\nLNB to DGO: 11714\nLNB to DEF: 14692\nLNB to KHD: 14610\nDEF to ZAG: 3658\nDEF to PAT: 3930\nDEF to ALB: 10483\nDEF to AQP: 15045\nDEF to DGO: 13878\nDEF to KHD: 828\nAQP to ZAG: 11522\nAQP to PAT: 17946\nAQP to ALB: 6865\nAQP to DGO: 5777\nAQP to KHD: 14963\nZAG to PAT: 6522\nZAG to ALB: 6837\nZAG to DGO: 10246\nZAG to KHD: 3576\nALB to PAT: 12629\nALB to DGO: 3553\nALB to KHD: 10401\nDGO to PAT: 15485\nDGO to KHD: 13796\nKHD to PAT: 3848\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, CWB, NUS, DBQ, GHT, KGC, KUL, PCR, PUU\n- Travel distances (in kilometers) between each pair of airports:\nHTS to KUL: 16243\nHTS to CWB: 8029\nHTS to PCR: 4604\nHTS to PUU: 4264\nHTS to DBQ: 1577\nHTS to GHT: 9617\nHTS to NUS: 13850\nHTS to KGC: 16977\nCWB to KUL: 16309\nCWB to PCR: 5447\nCWB to PUU: 5229\nCWB to DBQ: 8775\nCWB to GHT: 10716\nCWB to NUS: 14580\nCWB to KGC: 15114\nNUS to KUL: 8125\nNUS to PCR: 16414\nNUS to PUU: 15907\nNUS to DBQ: 13097\nNUS to GHT: 18527\nNUS to KGC: 3776\nDBQ to KUL: 15210\nDBQ to PCR: 5350\nDBQ to PUU: 5010\nDBQ to GHT: 9589\nDBQ to KGC: 16314\nGHT to KUL: 10594\nGHT to PCR: 11209\nGHT to PUU: 10991\nGHT to KGC: 16178\nKGC to KUL: 5807\nKGC to PCR: 17631\nKGC to PUU: 17159\nKUL to PCR: 19831\nKUL to PUU: 19613\nPCR to PUU: 1288\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56566,
"style": "rule"
}
|
{
"exact_answer": 56566,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTS\", \"id\": 0}, {\"name\": \"CWB\", \"id\": 1}, {\"name\": \"NUS\", \"id\": 2}, {\"name\": \"DBQ\", \"id\": 3}, {\"name\": \"GHT\", \"id\": 4}, {\"name\": \"KGC\", \"id\": 5}, {\"name\": \"KUL\", \"id\": 6}, {\"name\": \"PCR\", \"id\": 7}, {\"name\": \"PUU\", \"id\": 8}], \"links\": [{\"weight\": 16243, \"source\": 0, \"target\": 6}, {\"weight\": 8029, \"source\": 0, \"target\": 1}, {\"weight\": 4604, \"source\": 0, \"target\": 7}, {\"weight\": 4264, \"source\": 0, \"target\": 8}, {\"weight\": 1577, \"source\": 0, \"target\": 3}, {\"weight\": 9617, \"source\": 0, \"target\": 4}, {\"weight\": 13850, \"source\": 0, \"target\": 2}, {\"weight\": 16977, \"source\": 0, \"target\": 5}, {\"weight\": 16309, \"source\": 1, \"target\": 6}, {\"weight\": 5447, \"source\": 1, \"target\": 7}, {\"weight\": 5229, \"source\": 1, \"target\": 8}, {\"weight\": 8775, \"source\": 1, \"target\": 3}, {\"weight\": 10716, \"source\": 1, \"target\": 4}, {\"weight\": 14580, \"source\": 1, \"target\": 2}, {\"weight\": 15114, \"source\": 1, \"target\": 5}, {\"weight\": 8125, \"source\": 2, \"target\": 6}, {\"weight\": 16414, \"source\": 2, \"target\": 7}, {\"weight\": 15907, \"source\": 2, \"target\": 8}, {\"weight\": 13097, \"source\": 2, \"target\": 3}, {\"weight\": 18527, \"source\": 2, \"target\": 4}, {\"weight\": 3776, \"source\": 2, \"target\": 5}, {\"weight\": 15210, \"source\": 3, \"target\": 6}, {\"weight\": 5350, \"source\": 3, \"target\": 7}, {\"weight\": 5010, \"source\": 3, \"target\": 8}, {\"weight\": 9589, \"source\": 3, \"target\": 4}, {\"weight\": 16314, \"source\": 3, \"target\": 5}, {\"weight\": 10594, \"source\": 4, \"target\": 6}, {\"weight\": 11209, \"source\": 4, \"target\": 7}, {\"weight\": 10991, \"source\": 4, \"target\": 8}, {\"weight\": 16178, \"source\": 4, \"target\": 5}, {\"weight\": 5807, \"source\": 5, \"target\": 6}, {\"weight\": 17631, \"source\": 5, \"target\": 7}, {\"weight\": 17159, \"source\": 5, \"target\": 8}, {\"weight\": 19831, \"source\": 6, \"target\": 7}, {\"weight\": 19613, \"source\": 6, \"target\": 8}, {\"weight\": 1288, \"source\": 7, \"target\": 8}]}",
"id": 997,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, CWB, NUS, DBQ, GHT, KGC, KUL, PCR, PUU\n- Travel distances (in kilometers) between each pair of airports:\nHTS to KUL: 16243\nHTS to CWB: 8029\nHTS to PCR: 4604\nHTS to PUU: 4264\nHTS to DBQ: 1577\nHTS to GHT: 9617\nHTS to NUS: 13850\nHTS to KGC: 16977\nCWB to KUL: 16309\nCWB to PCR: 5447\nCWB to PUU: 5229\nCWB to DBQ: 8775\nCWB to GHT: 10716\nCWB to NUS: 14580\nCWB to KGC: 15114\nNUS to KUL: 8125\nNUS to PCR: 16414\nNUS to PUU: 15907\nNUS to DBQ: 13097\nNUS to GHT: 18527\nNUS to KGC: 3776\nDBQ to KUL: 15210\nDBQ to PCR: 5350\nDBQ to PUU: 5010\nDBQ to GHT: 9589\nDBQ to KGC: 16314\nGHT to KUL: 10594\nGHT to PCR: 11209\nGHT to PUU: 10991\nGHT to KGC: 16178\nKGC to KUL: 5807\nKGC to PCR: 17631\nKGC to PUU: 17159\nKUL to PCR: 19831\nKUL to PUU: 19613\nPCR to PUU: 1288\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YMO, ITM, RZR, YIK, WLG, EBB, HRE, EAU\n- Travel distances (in kilometers) between each pair of airports:\nCNX to YIK: 15519\nCNX to EBB: 8106\nCNX to ITM: 4006\nCNX to HRE: 9541\nCNX to WLG: 10338\nCNX to RZR: 5373\nCNX to EAU: 13900\nCNX to YMO: 14335\nYMO to YIK: 1379\nYMO to EBB: 12645\nYMO to ITM: 11091\nYMO to HRE: 13869\nYMO to WLG: 14946\nYMO to RZR: 10841\nYMO to EAU: 1998\nITM to YIK: 11855\nITM to EBB: 11380\nITM to HRE: 12894\nITM to WLG: 9777\nITM to RZR: 7616\nITM to EAU: 10966\nRZR to YIK: 11081\nRZR to EBB: 4594\nRZR to HRE: 6486\nRZR to WLG: 15332\nRZR to EAU: 11439\nYIK to EBB: 12873\nYIK to HRE: 14872\nYIK to WLG: 15710\nYIK to EAU: 3377\nWLG to EBB: 14793\nWLG to HRE: 14208\nWLG to EAU: 14198\nEBB to HRE: 2475\nEBB to EAU: 13271\nHRE to EAU: 14292\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58565,
"style": "rule"
}
|
{
"exact_answer": 58565,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CNX\", \"id\": 0}, {\"name\": \"YMO\", \"id\": 1}, {\"name\": \"ITM\", \"id\": 2}, {\"name\": \"RZR\", \"id\": 3}, {\"name\": \"YIK\", \"id\": 4}, {\"name\": \"WLG\", \"id\": 5}, {\"name\": \"EBB\", \"id\": 6}, {\"name\": \"HRE\", \"id\": 7}, {\"name\": \"EAU\", \"id\": 8}], \"links\": [{\"weight\": 15519, \"source\": 0, \"target\": 4}, {\"weight\": 8106, \"source\": 0, \"target\": 6}, {\"weight\": 4006, \"source\": 0, \"target\": 2}, {\"weight\": 9541, \"source\": 0, \"target\": 7}, {\"weight\": 10338, \"source\": 0, \"target\": 5}, {\"weight\": 5373, \"source\": 0, \"target\": 3}, {\"weight\": 13900, \"source\": 0, \"target\": 8}, {\"weight\": 14335, \"source\": 0, \"target\": 1}, {\"weight\": 1379, \"source\": 1, \"target\": 4}, {\"weight\": 12645, \"source\": 1, \"target\": 6}, {\"weight\": 11091, \"source\": 1, \"target\": 2}, {\"weight\": 13869, \"source\": 1, \"target\": 7}, {\"weight\": 14946, \"source\": 1, \"target\": 5}, {\"weight\": 10841, \"source\": 1, \"target\": 3}, {\"weight\": 1998, \"source\": 1, \"target\": 8}, {\"weight\": 11855, \"source\": 2, \"target\": 4}, {\"weight\": 11380, \"source\": 2, \"target\": 6}, {\"weight\": 12894, \"source\": 2, \"target\": 7}, {\"weight\": 9777, \"source\": 2, \"target\": 5}, {\"weight\": 7616, \"source\": 2, \"target\": 3}, {\"weight\": 10966, \"source\": 2, \"target\": 8}, {\"weight\": 11081, \"source\": 3, \"target\": 4}, {\"weight\": 4594, \"source\": 3, \"target\": 6}, {\"weight\": 6486, \"source\": 3, \"target\": 7}, {\"weight\": 15332, \"source\": 3, \"target\": 5}, {\"weight\": 11439, \"source\": 3, \"target\": 8}, {\"weight\": 12873, \"source\": 4, \"target\": 6}, {\"weight\": 14872, \"source\": 4, \"target\": 7}, {\"weight\": 15710, \"source\": 4, \"target\": 5}, {\"weight\": 3377, \"source\": 4, \"target\": 8}, {\"weight\": 14793, \"source\": 5, \"target\": 6}, {\"weight\": 14208, \"source\": 5, \"target\": 7}, {\"weight\": 14198, \"source\": 5, \"target\": 8}, {\"weight\": 2475, \"source\": 6, \"target\": 7}, {\"weight\": 13271, \"source\": 6, \"target\": 8}, {\"weight\": 14292, \"source\": 7, \"target\": 8}]}",
"id": 998,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YMO, ITM, RZR, YIK, WLG, EBB, HRE, EAU\n- Travel distances (in kilometers) between each pair of airports:\nCNX to YIK: 15519\nCNX to EBB: 8106\nCNX to ITM: 4006\nCNX to HRE: 9541\nCNX to WLG: 10338\nCNX to RZR: 5373\nCNX to EAU: 13900\nCNX to YMO: 14335\nYMO to YIK: 1379\nYMO to EBB: 12645\nYMO to ITM: 11091\nYMO to HRE: 13869\nYMO to WLG: 14946\nYMO to RZR: 10841\nYMO to EAU: 1998\nITM to YIK: 11855\nITM to EBB: 11380\nITM to HRE: 12894\nITM to WLG: 9777\nITM to RZR: 7616\nITM to EAU: 10966\nRZR to YIK: 11081\nRZR to EBB: 4594\nRZR to HRE: 6486\nRZR to WLG: 15332\nRZR to EAU: 11439\nYIK to EBB: 12873\nYIK to HRE: 14872\nYIK to WLG: 15710\nYIK to EAU: 3377\nWLG to EBB: 14793\nWLG to HRE: 14208\nWLG to EAU: 14198\nEBB to HRE: 2475\nEBB to EAU: 13271\nHRE to EAU: 14292\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLU, YCY, UST, GIZ, SZA, PQQ, EGE, BXU, RJK\n- Travel distances (in kilometers) between each pair of airports:\nSLU to BXU: 17543\nSLU to RJK: 7980\nSLU to YCY: 6522\nSLU to SZA: 11279\nSLU to UST: 5165\nSLU to PQQ: 17406\nSLU to GIZ: 11982\nSLU to EGE: 5336\nYCY to BXU: 15767\nYCY to RJK: 8251\nYCY to SZA: 13947\nYCY to UST: 5412\nYCY to PQQ: 17242\nYCY to GIZ: 12333\nYCY to EGE: 4843\nUST to BXU: 15809\nUST to RJK: 9217\nUST to SZA: 13510\nUST to PQQ: 17165\nUST to GIZ: 13289\nUST to EGE: 4014\nGIZ to BXU: 9534\nGIZ to RJK: 4086\nGIZ to SZA: 5827\nGIZ to PQQ: 14172\nGIZ to EGE: 13049\nSZA to BXU: 13265\nSZA to RJK: 7294\nSZA to PQQ: 14149\nSZA to EGE: 13721\nPQQ to BXU: 6144\nPQQ to RJK: 16433\nPQQ to EGE: 13562\nEGE to BXU: 12987\nEGE to RJK: 8996\nBXU to RJK: 11040\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65761,
"style": "rule"
}
|
{
"exact_answer": 65761,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLU\", \"id\": 0}, {\"name\": \"YCY\", \"id\": 1}, {\"name\": \"UST\", \"id\": 2}, {\"name\": \"GIZ\", \"id\": 3}, {\"name\": \"SZA\", \"id\": 4}, {\"name\": \"PQQ\", \"id\": 5}, {\"name\": \"EGE\", \"id\": 6}, {\"name\": \"BXU\", \"id\": 7}, {\"name\": \"RJK\", \"id\": 8}], \"links\": [{\"weight\": 17543, \"source\": 0, \"target\": 7}, {\"weight\": 7980, \"source\": 0, \"target\": 8}, {\"weight\": 6522, \"source\": 0, \"target\": 1}, {\"weight\": 11279, \"source\": 0, \"target\": 4}, {\"weight\": 5165, \"source\": 0, \"target\": 2}, {\"weight\": 17406, \"source\": 0, \"target\": 5}, {\"weight\": 11982, \"source\": 0, \"target\": 3}, {\"weight\": 5336, \"source\": 0, \"target\": 6}, {\"weight\": 15767, \"source\": 1, \"target\": 7}, {\"weight\": 8251, \"source\": 1, \"target\": 8}, {\"weight\": 13947, \"source\": 1, \"target\": 4}, {\"weight\": 5412, \"source\": 1, \"target\": 2}, {\"weight\": 17242, \"source\": 1, \"target\": 5}, {\"weight\": 12333, \"source\": 1, \"target\": 3}, {\"weight\": 4843, \"source\": 1, \"target\": 6}, {\"weight\": 15809, \"source\": 2, \"target\": 7}, {\"weight\": 9217, \"source\": 2, \"target\": 8}, {\"weight\": 13510, \"source\": 2, \"target\": 4}, {\"weight\": 17165, \"source\": 2, \"target\": 5}, {\"weight\": 13289, \"source\": 2, \"target\": 3}, {\"weight\": 4014, \"source\": 2, \"target\": 6}, {\"weight\": 9534, \"source\": 3, \"target\": 7}, {\"weight\": 4086, \"source\": 3, \"target\": 8}, {\"weight\": 5827, \"source\": 3, \"target\": 4}, {\"weight\": 14172, \"source\": 3, \"target\": 5}, {\"weight\": 13049, \"source\": 3, \"target\": 6}, {\"weight\": 13265, \"source\": 4, \"target\": 7}, {\"weight\": 7294, \"source\": 4, \"target\": 8}, {\"weight\": 14149, \"source\": 4, \"target\": 5}, {\"weight\": 13721, \"source\": 4, \"target\": 6}, {\"weight\": 6144, \"source\": 5, \"target\": 7}, {\"weight\": 16433, \"source\": 5, \"target\": 8}, {\"weight\": 13562, \"source\": 5, \"target\": 6}, {\"weight\": 12987, \"source\": 6, \"target\": 7}, {\"weight\": 8996, \"source\": 6, \"target\": 8}, {\"weight\": 11040, \"source\": 7, \"target\": 8}]}",
"id": 999,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLU, YCY, UST, GIZ, SZA, PQQ, EGE, BXU, RJK\n- Travel distances (in kilometers) between each pair of airports:\nSLU to BXU: 17543\nSLU to RJK: 7980\nSLU to YCY: 6522\nSLU to SZA: 11279\nSLU to UST: 5165\nSLU to PQQ: 17406\nSLU to GIZ: 11982\nSLU to EGE: 5336\nYCY to BXU: 15767\nYCY to RJK: 8251\nYCY to SZA: 13947\nYCY to UST: 5412\nYCY to PQQ: 17242\nYCY to GIZ: 12333\nYCY to EGE: 4843\nUST to BXU: 15809\nUST to RJK: 9217\nUST to SZA: 13510\nUST to PQQ: 17165\nUST to GIZ: 13289\nUST to EGE: 4014\nGIZ to BXU: 9534\nGIZ to RJK: 4086\nGIZ to SZA: 5827\nGIZ to PQQ: 14172\nGIZ to EGE: 13049\nSZA to BXU: 13265\nSZA to RJK: 7294\nSZA to PQQ: 14149\nSZA to EGE: 13721\nPQQ to BXU: 6144\nPQQ to RJK: 16433\nPQQ to EGE: 13562\nEGE to BXU: 12987\nEGE to RJK: 8996\nBXU to RJK: 11040\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
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