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: FNJ, ERI, ZPB, SGC, KSH, GRV, SGN, KUZ, ULG\n- Travel distances (in kilometers) between each pair of airports:\nFNJ to SGN: 4126\nFNJ to SGC: 4608\nFNJ to GRV: 8021\nFNJ to ERI: 11691\nFNJ to KSH: 6878\nFNJ to ULG: 3194\nFNJ to KUZ: 11695\nFNJ to ZPB: 10998\nERI to SGN: 14305\nERI to SGC: 10052\nERI to GRV: 9472\nERI to KSH: 10434\nERI to ULG: 13321\nERI to KUZ: 6798\nERI to ZPB: 2067\nZPB to SGN: 14327\nZPB to SGC: 11185\nZPB to GRV: 10605\nZPB to KSH: 11567\nZPB to ULG: 13576\nZPB to KUZ: 7931\nSGC to SGN: 6455\nSGC to GRV: 3595\nSGC to KSH: 4201\nSGC to ULG: 5225\nSGC to KUZ: 7576\nKSH to SGN: 6661\nKSH to GRV: 4690\nKSH to ULG: 6492\nKSH to KUZ: 7892\nGRV to SGN: 9138\nGRV to ULG: 8108\nGRV to KUZ: 6996\nSGN to ULG: 5647\nSGN to KUZ: 13118\nKUZ to ULG: 11359\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50157,
"style": "rule"
}
|
{
"exact_answer": 50157,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FNJ\", \"id\": 0}, {\"name\": \"ERI\", \"id\": 1}, {\"name\": \"ZPB\", \"id\": 2}, {\"name\": \"SGC\", \"id\": 3}, {\"name\": \"KSH\", \"id\": 4}, {\"name\": \"GRV\", \"id\": 5}, {\"name\": \"SGN\", \"id\": 6}, {\"name\": \"KUZ\", \"id\": 7}, {\"name\": \"ULG\", \"id\": 8}], \"links\": [{\"weight\": 4126, \"source\": 0, \"target\": 6}, {\"weight\": 4608, \"source\": 0, \"target\": 3}, {\"weight\": 8021, \"source\": 0, \"target\": 5}, {\"weight\": 11691, \"source\": 0, \"target\": 1}, {\"weight\": 6878, \"source\": 0, \"target\": 4}, {\"weight\": 3194, \"source\": 0, \"target\": 8}, {\"weight\": 11695, \"source\": 0, \"target\": 7}, {\"weight\": 10998, \"source\": 0, \"target\": 2}, {\"weight\": 14305, \"source\": 1, \"target\": 6}, {\"weight\": 10052, \"source\": 1, \"target\": 3}, {\"weight\": 9472, \"source\": 1, \"target\": 5}, {\"weight\": 10434, \"source\": 1, \"target\": 4}, {\"weight\": 13321, \"source\": 1, \"target\": 8}, {\"weight\": 6798, \"source\": 1, \"target\": 7}, {\"weight\": 2067, \"source\": 1, \"target\": 2}, {\"weight\": 14327, \"source\": 2, \"target\": 6}, {\"weight\": 11185, \"source\": 2, \"target\": 3}, {\"weight\": 10605, \"source\": 2, \"target\": 5}, {\"weight\": 11567, \"source\": 2, \"target\": 4}, {\"weight\": 13576, \"source\": 2, \"target\": 8}, {\"weight\": 7931, \"source\": 2, \"target\": 7}, {\"weight\": 6455, \"source\": 3, \"target\": 6}, {\"weight\": 3595, \"source\": 3, \"target\": 5}, {\"weight\": 4201, \"source\": 3, \"target\": 4}, {\"weight\": 5225, \"source\": 3, \"target\": 8}, {\"weight\": 7576, \"source\": 3, \"target\": 7}, {\"weight\": 6661, \"source\": 4, \"target\": 6}, {\"weight\": 4690, \"source\": 4, \"target\": 5}, {\"weight\": 6492, \"source\": 4, \"target\": 8}, {\"weight\": 7892, \"source\": 4, \"target\": 7}, {\"weight\": 9138, \"source\": 5, \"target\": 6}, {\"weight\": 8108, \"source\": 5, \"target\": 8}, {\"weight\": 6996, \"source\": 5, \"target\": 7}, {\"weight\": 5647, \"source\": 6, \"target\": 8}, {\"weight\": 13118, \"source\": 6, \"target\": 7}, {\"weight\": 11359, \"source\": 7, \"target\": 8}]}",
"id": 200,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FNJ, ERI, ZPB, SGC, KSH, GRV, SGN, KUZ, ULG\n- Travel distances (in kilometers) between each pair of airports:\nFNJ to SGN: 4126\nFNJ to SGC: 4608\nFNJ to GRV: 8021\nFNJ to ERI: 11691\nFNJ to KSH: 6878\nFNJ to ULG: 3194\nFNJ to KUZ: 11695\nFNJ to ZPB: 10998\nERI to SGN: 14305\nERI to SGC: 10052\nERI to GRV: 9472\nERI to KSH: 10434\nERI to ULG: 13321\nERI to KUZ: 6798\nERI to ZPB: 2067\nZPB to SGN: 14327\nZPB to SGC: 11185\nZPB to GRV: 10605\nZPB to KSH: 11567\nZPB to ULG: 13576\nZPB to KUZ: 7931\nSGC to SGN: 6455\nSGC to GRV: 3595\nSGC to KSH: 4201\nSGC to ULG: 5225\nSGC to KUZ: 7576\nKSH to SGN: 6661\nKSH to GRV: 4690\nKSH to ULG: 6492\nKSH to KUZ: 7892\nGRV to SGN: 9138\nGRV to ULG: 8108\nGRV to KUZ: 6996\nSGN to ULG: 5647\nSGN to KUZ: 13118\nKUZ to ULG: 11359\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AIU, SLX, KWL, CTU, PPP, UNG, LCG, DZA\n- Travel distances (in kilometers) between each pair of airports:\nFOE to CTU: 12855\nFOE to KWL: 13059\nFOE to SLX: 3551\nFOE to DZA: 15400\nFOE to LCG: 7679\nFOE to UNG: 16569\nFOE to AIU: 11294\nFOE to PPP: 15966\nAIU to CTU: 13756\nAIU to KWL: 12914\nAIU to SLX: 12581\nAIU to DZA: 16012\nAIU to LCG: 17470\nAIU to UNG: 8370\nAIU to PPP: 6425\nSLX to CTU: 14769\nSLX to KWL: 14973\nSLX to DZA: 15433\nSLX to LCG: 7762\nSLX to UNG: 17856\nSLX to PPP: 17124\nKWL to CTU: 844\nKWL to DZA: 9176\nKWL to LCG: 10230\nKWL to UNG: 6323\nKWL to PPP: 8352\nCTU to DZA: 9473\nCTU to LCG: 9386\nCTU to UNG: 7165\nCTU to PPP: 9194\nPPP to DZA: 12030\nPPP to LCG: 18552\nPPP to UNG: 3735\nUNG to DZA: 12552\nUNG to LCG: 16503\nLCG to DZA: 8695\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58102,
"style": "rule"
}
|
{
"exact_answer": 58102,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FOE\", \"id\": 0}, {\"name\": \"AIU\", \"id\": 1}, {\"name\": \"SLX\", \"id\": 2}, {\"name\": \"KWL\", \"id\": 3}, {\"name\": \"CTU\", \"id\": 4}, {\"name\": \"PPP\", \"id\": 5}, {\"name\": \"UNG\", \"id\": 6}, {\"name\": \"LCG\", \"id\": 7}, {\"name\": \"DZA\", \"id\": 8}], \"links\": [{\"weight\": 12855, \"source\": 0, \"target\": 4}, {\"weight\": 13059, \"source\": 0, \"target\": 3}, {\"weight\": 3551, \"source\": 0, \"target\": 2}, {\"weight\": 15400, \"source\": 0, \"target\": 8}, {\"weight\": 7679, \"source\": 0, \"target\": 7}, {\"weight\": 16569, \"source\": 0, \"target\": 6}, {\"weight\": 11294, \"source\": 0, \"target\": 1}, {\"weight\": 15966, \"source\": 0, \"target\": 5}, {\"weight\": 13756, \"source\": 1, \"target\": 4}, {\"weight\": 12914, \"source\": 1, \"target\": 3}, {\"weight\": 12581, \"source\": 1, \"target\": 2}, {\"weight\": 16012, \"source\": 1, \"target\": 8}, {\"weight\": 17470, \"source\": 1, \"target\": 7}, {\"weight\": 8370, \"source\": 1, \"target\": 6}, {\"weight\": 6425, \"source\": 1, \"target\": 5}, {\"weight\": 14769, \"source\": 2, \"target\": 4}, {\"weight\": 14973, \"source\": 2, \"target\": 3}, {\"weight\": 15433, \"source\": 2, \"target\": 8}, {\"weight\": 7762, \"source\": 2, \"target\": 7}, {\"weight\": 17856, \"source\": 2, \"target\": 6}, {\"weight\": 17124, \"source\": 2, \"target\": 5}, {\"weight\": 844, \"source\": 3, \"target\": 4}, {\"weight\": 9176, \"source\": 3, \"target\": 8}, {\"weight\": 10230, \"source\": 3, \"target\": 7}, {\"weight\": 6323, \"source\": 3, \"target\": 6}, {\"weight\": 8352, \"source\": 3, \"target\": 5}, {\"weight\": 9473, \"source\": 4, \"target\": 8}, {\"weight\": 9386, \"source\": 4, \"target\": 7}, {\"weight\": 7165, \"source\": 4, \"target\": 6}, {\"weight\": 9194, \"source\": 4, \"target\": 5}, {\"weight\": 12030, \"source\": 5, \"target\": 8}, {\"weight\": 18552, \"source\": 5, \"target\": 7}, {\"weight\": 3735, \"source\": 5, \"target\": 6}, {\"weight\": 12552, \"source\": 6, \"target\": 8}, {\"weight\": 16503, \"source\": 6, \"target\": 7}, {\"weight\": 8695, \"source\": 7, \"target\": 8}]}",
"id": 201,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AIU, SLX, KWL, CTU, PPP, UNG, LCG, DZA\n- Travel distances (in kilometers) between each pair of airports:\nFOE to CTU: 12855\nFOE to KWL: 13059\nFOE to SLX: 3551\nFOE to DZA: 15400\nFOE to LCG: 7679\nFOE to UNG: 16569\nFOE to AIU: 11294\nFOE to PPP: 15966\nAIU to CTU: 13756\nAIU to KWL: 12914\nAIU to SLX: 12581\nAIU to DZA: 16012\nAIU to LCG: 17470\nAIU to UNG: 8370\nAIU to PPP: 6425\nSLX to CTU: 14769\nSLX to KWL: 14973\nSLX to DZA: 15433\nSLX to LCG: 7762\nSLX to UNG: 17856\nSLX to PPP: 17124\nKWL to CTU: 844\nKWL to DZA: 9176\nKWL to LCG: 10230\nKWL to UNG: 6323\nKWL to PPP: 8352\nCTU to DZA: 9473\nCTU to LCG: 9386\nCTU to UNG: 7165\nCTU to PPP: 9194\nPPP to DZA: 12030\nPPP to LCG: 18552\nPPP to UNG: 3735\nUNG to DZA: 12552\nUNG to LCG: 16503\nLCG to DZA: 8695\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, KQT, NNT, YAT, LED, SSA, SVX, TAE, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nUKS to LED: 1711\nUKS to SVX: 2651\nUKS to SSA: 10463\nUKS to PAZ: 11721\nUKS to TAE: 8168\nUKS to NNT: 8171\nUKS to KQT: 4251\nUKS to YAT: 9136\nKQT to LED: 3644\nKQT to SVX: 2182\nKQT to SSA: 13388\nKQT to PAZ: 13996\nKQT to TAE: 5484\nKQT to NNT: 5589\nKQT to YAT: 11645\nNNT to LED: 7820\nNNT to SVX: 6298\nNNT to SSA: 16883\nNNT to PAZ: 15746\nNNT to TAE: 3690\nNNT to YAT: 14747\nYAT to LED: 8001\nYAT to SVX: 9792\nYAT to SSA: 9181\nYAT to PAZ: 4546\nYAT to TAE: 11968\nLED to SVX: 1800\nLED to SSA: 10099\nLED to PAZ: 10371\nLED to TAE: 7060\nSSA to SVX: 11787\nSSA to PAZ: 8144\nSSA to TAE: 17156\nSVX to PAZ: 12162\nSVX to TAE: 5518\nTAE to PAZ: 12570\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50093,
"style": "rule"
}
|
{
"exact_answer": 50093,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"KQT\", \"id\": 1}, {\"name\": \"NNT\", \"id\": 2}, {\"name\": \"YAT\", \"id\": 3}, {\"name\": \"LED\", \"id\": 4}, {\"name\": \"SSA\", \"id\": 5}, {\"name\": \"SVX\", \"id\": 6}, {\"name\": \"TAE\", \"id\": 7}, {\"name\": \"PAZ\", \"id\": 8}], \"links\": [{\"weight\": 1711, \"source\": 0, \"target\": 4}, {\"weight\": 2651, \"source\": 0, \"target\": 6}, {\"weight\": 10463, \"source\": 0, \"target\": 5}, {\"weight\": 11721, \"source\": 0, \"target\": 8}, {\"weight\": 8168, \"source\": 0, \"target\": 7}, {\"weight\": 8171, \"source\": 0, \"target\": 2}, {\"weight\": 4251, \"source\": 0, \"target\": 1}, {\"weight\": 9136, \"source\": 0, \"target\": 3}, {\"weight\": 3644, \"source\": 1, \"target\": 4}, {\"weight\": 2182, \"source\": 1, \"target\": 6}, {\"weight\": 13388, \"source\": 1, \"target\": 5}, {\"weight\": 13996, \"source\": 1, \"target\": 8}, {\"weight\": 5484, \"source\": 1, \"target\": 7}, {\"weight\": 5589, \"source\": 1, \"target\": 2}, {\"weight\": 11645, \"source\": 1, \"target\": 3}, {\"weight\": 7820, \"source\": 2, \"target\": 4}, {\"weight\": 6298, \"source\": 2, \"target\": 6}, {\"weight\": 16883, \"source\": 2, \"target\": 5}, {\"weight\": 15746, \"source\": 2, \"target\": 8}, {\"weight\": 3690, \"source\": 2, \"target\": 7}, {\"weight\": 14747, \"source\": 2, \"target\": 3}, {\"weight\": 8001, \"source\": 3, \"target\": 4}, {\"weight\": 9792, \"source\": 3, \"target\": 6}, {\"weight\": 9181, \"source\": 3, \"target\": 5}, {\"weight\": 4546, \"source\": 3, \"target\": 8}, {\"weight\": 11968, \"source\": 3, \"target\": 7}, {\"weight\": 1800, \"source\": 4, \"target\": 6}, {\"weight\": 10099, \"source\": 4, \"target\": 5}, {\"weight\": 10371, \"source\": 4, \"target\": 8}, {\"weight\": 7060, \"source\": 4, \"target\": 7}, {\"weight\": 11787, \"source\": 5, \"target\": 6}, {\"weight\": 8144, \"source\": 5, \"target\": 8}, {\"weight\": 17156, \"source\": 5, \"target\": 7}, {\"weight\": 12162, \"source\": 6, \"target\": 8}, {\"weight\": 5518, \"source\": 6, \"target\": 7}, {\"weight\": 12570, \"source\": 7, \"target\": 8}]}",
"id": 202,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, KQT, NNT, YAT, LED, SSA, SVX, TAE, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nUKS to LED: 1711\nUKS to SVX: 2651\nUKS to SSA: 10463\nUKS to PAZ: 11721\nUKS to TAE: 8168\nUKS to NNT: 8171\nUKS to KQT: 4251\nUKS to YAT: 9136\nKQT to LED: 3644\nKQT to SVX: 2182\nKQT to SSA: 13388\nKQT to PAZ: 13996\nKQT to TAE: 5484\nKQT to NNT: 5589\nKQT to YAT: 11645\nNNT to LED: 7820\nNNT to SVX: 6298\nNNT to SSA: 16883\nNNT to PAZ: 15746\nNNT to TAE: 3690\nNNT to YAT: 14747\nYAT to LED: 8001\nYAT to SVX: 9792\nYAT to SSA: 9181\nYAT to PAZ: 4546\nYAT to TAE: 11968\nLED to SVX: 1800\nLED to SSA: 10099\nLED to PAZ: 10371\nLED to TAE: 7060\nSSA to SVX: 11787\nSSA to PAZ: 8144\nSSA to TAE: 17156\nSVX to PAZ: 12162\nSVX to TAE: 5518\nTAE to PAZ: 12570\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YGH, TYS, SKB, UBP, VRC, MCY, DIK, KUA, JBQ\n- Travel distances (in kilometers) between each pair of airports:\nYGH to VRC: 13433\nYGH to TYS: 4851\nYGH to SKB: 7265\nYGH to UBP: 14925\nYGH to DIK: 4210\nYGH to KUA: 15635\nYGH to MCY: 15979\nYGH to JBQ: 7150\nTYS to VRC: 14237\nTYS to SKB: 2970\nTYS to UBP: 15119\nTYS to DIK: 2045\nTYS to KUA: 15941\nTYS to MCY: 15883\nTYS to JBQ: 2545\nSKB to VRC: 16859\nSKB to UBP: 16708\nSKB to DIK: 4946\nSKB to KUA: 17382\nSKB to MCY: 18330\nSKB to JBQ: 1275\nUBP to VRC: 3023\nUBP to DIK: 14856\nUBP to KUA: 1776\nUBP to MCY: 8827\nUBP to JBQ: 17443\nVRC to DIK: 13488\nVRC to KUA: 3016\nVRC to MCY: 7459\nVRC to JBQ: 16709\nMCY to DIK: 15066\nMCY to KUA: 7412\nMCY to JBQ: 17837\nDIK to KUA: 15588\nDIK to JBQ: 4535\nKUA to JBQ: 18116\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53840,
"style": "rule"
}
|
{
"exact_answer": 53840,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YGH\", \"id\": 0}, {\"name\": \"TYS\", \"id\": 1}, {\"name\": \"SKB\", \"id\": 2}, {\"name\": \"UBP\", \"id\": 3}, {\"name\": \"VRC\", \"id\": 4}, {\"name\": \"MCY\", \"id\": 5}, {\"name\": \"DIK\", \"id\": 6}, {\"name\": \"KUA\", \"id\": 7}, {\"name\": \"JBQ\", \"id\": 8}], \"links\": [{\"weight\": 13433, \"source\": 0, \"target\": 4}, {\"weight\": 4851, \"source\": 0, \"target\": 1}, {\"weight\": 7265, \"source\": 0, \"target\": 2}, {\"weight\": 14925, \"source\": 0, \"target\": 3}, {\"weight\": 4210, \"source\": 0, \"target\": 6}, {\"weight\": 15635, \"source\": 0, \"target\": 7}, {\"weight\": 15979, \"source\": 0, \"target\": 5}, {\"weight\": 7150, \"source\": 0, \"target\": 8}, {\"weight\": 14237, \"source\": 1, \"target\": 4}, {\"weight\": 2970, \"source\": 1, \"target\": 2}, {\"weight\": 15119, \"source\": 1, \"target\": 3}, {\"weight\": 2045, \"source\": 1, \"target\": 6}, {\"weight\": 15941, \"source\": 1, \"target\": 7}, {\"weight\": 15883, \"source\": 1, \"target\": 5}, {\"weight\": 2545, \"source\": 1, \"target\": 8}, {\"weight\": 16859, \"source\": 2, \"target\": 4}, {\"weight\": 16708, \"source\": 2, \"target\": 3}, {\"weight\": 4946, \"source\": 2, \"target\": 6}, {\"weight\": 17382, \"source\": 2, \"target\": 7}, {\"weight\": 18330, \"source\": 2, \"target\": 5}, {\"weight\": 1275, \"source\": 2, \"target\": 8}, {\"weight\": 3023, \"source\": 3, \"target\": 4}, {\"weight\": 14856, \"source\": 3, \"target\": 6}, {\"weight\": 1776, \"source\": 3, \"target\": 7}, {\"weight\": 8827, \"source\": 3, \"target\": 5}, {\"weight\": 17443, \"source\": 3, \"target\": 8}, {\"weight\": 13488, \"source\": 4, \"target\": 6}, {\"weight\": 3016, \"source\": 4, \"target\": 7}, {\"weight\": 7459, \"source\": 4, \"target\": 5}, {\"weight\": 16709, \"source\": 4, \"target\": 8}, {\"weight\": 15066, \"source\": 5, \"target\": 6}, {\"weight\": 7412, \"source\": 5, \"target\": 7}, {\"weight\": 17837, \"source\": 5, \"target\": 8}, {\"weight\": 15588, \"source\": 6, \"target\": 7}, {\"weight\": 4535, \"source\": 6, \"target\": 8}, {\"weight\": 18116, \"source\": 7, \"target\": 8}]}",
"id": 203,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YGH, TYS, SKB, UBP, VRC, MCY, DIK, KUA, JBQ\n- Travel distances (in kilometers) between each pair of airports:\nYGH to VRC: 13433\nYGH to TYS: 4851\nYGH to SKB: 7265\nYGH to UBP: 14925\nYGH to DIK: 4210\nYGH to KUA: 15635\nYGH to MCY: 15979\nYGH to JBQ: 7150\nTYS to VRC: 14237\nTYS to SKB: 2970\nTYS to UBP: 15119\nTYS to DIK: 2045\nTYS to KUA: 15941\nTYS to MCY: 15883\nTYS to JBQ: 2545\nSKB to VRC: 16859\nSKB to UBP: 16708\nSKB to DIK: 4946\nSKB to KUA: 17382\nSKB to MCY: 18330\nSKB to JBQ: 1275\nUBP to VRC: 3023\nUBP to DIK: 14856\nUBP to KUA: 1776\nUBP to MCY: 8827\nUBP to JBQ: 17443\nVRC to DIK: 13488\nVRC to KUA: 3016\nVRC to MCY: 7459\nVRC to JBQ: 16709\nMCY to DIK: 15066\nMCY to KUA: 7412\nMCY to JBQ: 17837\nDIK to KUA: 15588\nDIK to JBQ: 4535\nKUA to JBQ: 18116\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UDR, MAU, HVN, TVC, TFI, PUU, AYP, LDU, PGU\n- Travel distances (in kilometers) between each pair of airports:\nUDR to AYP: 17670\nUDR to PUU: 16283\nUDR to HVN: 12685\nUDR to TVC: 12884\nUDR to TFI: 9580\nUDR to PGU: 3311\nUDR to LDU: 5758\nUDR to MAU: 16200\nMAU to AYP: 11107\nMAU to PUU: 12763\nMAU to HVN: 11023\nMAU to TVC: 9986\nMAU to TFI: 8388\nMAU to PGU: 18050\nMAU to LDU: 12781\nHVN to AYP: 6398\nHVN to PUU: 4732\nHVN to TVC: 1312\nHVN to TFI: 16417\nHVN to PGU: 11170\nHVN to LDU: 15354\nTVC to AYP: 6735\nTVC to PUU: 5026\nTVC to TFI: 15464\nTVC to PGU: 11586\nTVC to LDU: 14567\nTFI to AYP: 17070\nTFI to PUU: 18359\nTFI to PGU: 11771\nTFI to LDU: 4975\nPUU to AYP: 2410\nPUU to PGU: 14000\nPUU to LDU: 18951\nAYP to PGU: 15301\nAYP to LDU: 20165\nLDU to PGU: 7934\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53457,
"style": "rule"
}
|
{
"exact_answer": 53457,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UDR\", \"id\": 0}, {\"name\": \"MAU\", \"id\": 1}, {\"name\": \"HVN\", \"id\": 2}, {\"name\": \"TVC\", \"id\": 3}, {\"name\": \"TFI\", \"id\": 4}, {\"name\": \"PUU\", \"id\": 5}, {\"name\": \"AYP\", \"id\": 6}, {\"name\": \"LDU\", \"id\": 7}, {\"name\": \"PGU\", \"id\": 8}], \"links\": [{\"weight\": 17670, \"source\": 0, \"target\": 6}, {\"weight\": 16283, \"source\": 0, \"target\": 5}, {\"weight\": 12685, \"source\": 0, \"target\": 2}, {\"weight\": 12884, \"source\": 0, \"target\": 3}, {\"weight\": 9580, \"source\": 0, \"target\": 4}, {\"weight\": 3311, \"source\": 0, \"target\": 8}, {\"weight\": 5758, \"source\": 0, \"target\": 7}, {\"weight\": 16200, \"source\": 0, \"target\": 1}, {\"weight\": 11107, \"source\": 1, \"target\": 6}, {\"weight\": 12763, \"source\": 1, \"target\": 5}, {\"weight\": 11023, \"source\": 1, \"target\": 2}, {\"weight\": 9986, \"source\": 1, \"target\": 3}, {\"weight\": 8388, \"source\": 1, \"target\": 4}, {\"weight\": 18050, \"source\": 1, \"target\": 8}, {\"weight\": 12781, \"source\": 1, \"target\": 7}, {\"weight\": 6398, \"source\": 2, \"target\": 6}, {\"weight\": 4732, \"source\": 2, \"target\": 5}, {\"weight\": 1312, \"source\": 2, \"target\": 3}, {\"weight\": 16417, \"source\": 2, \"target\": 4}, {\"weight\": 11170, \"source\": 2, \"target\": 8}, {\"weight\": 15354, \"source\": 2, \"target\": 7}, {\"weight\": 6735, \"source\": 3, \"target\": 6}, {\"weight\": 5026, \"source\": 3, \"target\": 5}, {\"weight\": 15464, \"source\": 3, \"target\": 4}, {\"weight\": 11586, \"source\": 3, \"target\": 8}, {\"weight\": 14567, \"source\": 3, \"target\": 7}, {\"weight\": 17070, \"source\": 4, \"target\": 6}, {\"weight\": 18359, \"source\": 4, \"target\": 5}, {\"weight\": 11771, \"source\": 4, \"target\": 8}, {\"weight\": 4975, \"source\": 4, \"target\": 7}, {\"weight\": 2410, \"source\": 5, \"target\": 6}, {\"weight\": 14000, \"source\": 5, \"target\": 8}, {\"weight\": 18951, \"source\": 5, \"target\": 7}, {\"weight\": 15301, \"source\": 6, \"target\": 8}, {\"weight\": 20165, \"source\": 6, \"target\": 7}, {\"weight\": 7934, \"source\": 7, \"target\": 8}]}",
"id": 204,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UDR, MAU, HVN, TVC, TFI, PUU, AYP, LDU, PGU\n- Travel distances (in kilometers) between each pair of airports:\nUDR to AYP: 17670\nUDR to PUU: 16283\nUDR to HVN: 12685\nUDR to TVC: 12884\nUDR to TFI: 9580\nUDR to PGU: 3311\nUDR to LDU: 5758\nUDR to MAU: 16200\nMAU to AYP: 11107\nMAU to PUU: 12763\nMAU to HVN: 11023\nMAU to TVC: 9986\nMAU to TFI: 8388\nMAU to PGU: 18050\nMAU to LDU: 12781\nHVN to AYP: 6398\nHVN to PUU: 4732\nHVN to TVC: 1312\nHVN to TFI: 16417\nHVN to PGU: 11170\nHVN to LDU: 15354\nTVC to AYP: 6735\nTVC to PUU: 5026\nTVC to TFI: 15464\nTVC to PGU: 11586\nTVC to LDU: 14567\nTFI to AYP: 17070\nTFI to PUU: 18359\nTFI to PGU: 11771\nTFI to LDU: 4975\nPUU to AYP: 2410\nPUU to PGU: 14000\nPUU to LDU: 18951\nAYP to PGU: 15301\nAYP to LDU: 20165\nLDU to PGU: 7934\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, CNX, IXD, ATK, BRM, GCK, LAU, TUA, BMU\n- Travel distances (in kilometers) between each pair of airports:\nAGB to LAU: 7505\nAGB to ATK: 12760\nAGB to BRM: 8741\nAGB to CNX: 9921\nAGB to GCK: 9796\nAGB to IXD: 7794\nAGB to TUA: 10358\nAGB to BMU: 13362\nCNX to LAU: 8138\nCNX to ATK: 14948\nCNX to BRM: 17141\nCNX to GCK: 14869\nCNX to IXD: 3277\nCNX to TUA: 18387\nCNX to BMU: 3942\nIXD to LAU: 6236\nIXD to ATK: 16424\nIXD to BRM: 15014\nIXD to GCK: 14537\nIXD to TUA: 16635\nIXD to BMU: 6764\nATK to LAU: 18426\nATK to BRM: 9860\nATK to GCK: 6680\nATK to TUA: 10306\nATK to BMU: 17014\nBRM to LAU: 13884\nBRM to GCK: 4570\nBRM to TUA: 2109\nBRM to BMU: 20106\nGCK to LAU: 15602\nGCK to TUA: 4943\nGCK to BMU: 16970\nLAU to TUA: 14291\nLAU to BMU: 10338\nTUA to BMU: 20268\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60447,
"style": "rule"
}
|
{
"exact_answer": 60447,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AGB\", \"id\": 0}, {\"name\": \"CNX\", \"id\": 1}, {\"name\": \"IXD\", \"id\": 2}, {\"name\": \"ATK\", \"id\": 3}, {\"name\": \"BRM\", \"id\": 4}, {\"name\": \"GCK\", \"id\": 5}, {\"name\": \"LAU\", \"id\": 6}, {\"name\": \"TUA\", \"id\": 7}, {\"name\": \"BMU\", \"id\": 8}], \"links\": [{\"weight\": 7505, \"source\": 0, \"target\": 6}, {\"weight\": 12760, \"source\": 0, \"target\": 3}, {\"weight\": 8741, \"source\": 0, \"target\": 4}, {\"weight\": 9921, \"source\": 0, \"target\": 1}, {\"weight\": 9796, \"source\": 0, \"target\": 5}, {\"weight\": 7794, \"source\": 0, \"target\": 2}, {\"weight\": 10358, \"source\": 0, \"target\": 7}, {\"weight\": 13362, \"source\": 0, \"target\": 8}, {\"weight\": 8138, \"source\": 1, \"target\": 6}, {\"weight\": 14948, \"source\": 1, \"target\": 3}, {\"weight\": 17141, \"source\": 1, \"target\": 4}, {\"weight\": 14869, \"source\": 1, \"target\": 5}, {\"weight\": 3277, \"source\": 1, \"target\": 2}, {\"weight\": 18387, \"source\": 1, \"target\": 7}, {\"weight\": 3942, \"source\": 1, \"target\": 8}, {\"weight\": 6236, \"source\": 2, \"target\": 6}, {\"weight\": 16424, \"source\": 2, \"target\": 3}, {\"weight\": 15014, \"source\": 2, \"target\": 4}, {\"weight\": 14537, \"source\": 2, \"target\": 5}, {\"weight\": 16635, \"source\": 2, \"target\": 7}, {\"weight\": 6764, \"source\": 2, \"target\": 8}, {\"weight\": 18426, \"source\": 3, \"target\": 6}, {\"weight\": 9860, \"source\": 3, \"target\": 4}, {\"weight\": 6680, \"source\": 3, \"target\": 5}, {\"weight\": 10306, \"source\": 3, \"target\": 7}, {\"weight\": 17014, \"source\": 3, \"target\": 8}, {\"weight\": 13884, \"source\": 4, \"target\": 6}, {\"weight\": 4570, \"source\": 4, \"target\": 5}, {\"weight\": 2109, \"source\": 4, \"target\": 7}, {\"weight\": 20106, \"source\": 4, \"target\": 8}, {\"weight\": 15602, \"source\": 5, \"target\": 6}, {\"weight\": 4943, \"source\": 5, \"target\": 7}, {\"weight\": 16970, \"source\": 5, \"target\": 8}, {\"weight\": 14291, \"source\": 6, \"target\": 7}, {\"weight\": 10338, \"source\": 6, \"target\": 8}, {\"weight\": 20268, \"source\": 7, \"target\": 8}]}",
"id": 205,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, CNX, IXD, ATK, BRM, GCK, LAU, TUA, BMU\n- Travel distances (in kilometers) between each pair of airports:\nAGB to LAU: 7505\nAGB to ATK: 12760\nAGB to BRM: 8741\nAGB to CNX: 9921\nAGB to GCK: 9796\nAGB to IXD: 7794\nAGB to TUA: 10358\nAGB to BMU: 13362\nCNX to LAU: 8138\nCNX to ATK: 14948\nCNX to BRM: 17141\nCNX to GCK: 14869\nCNX to IXD: 3277\nCNX to TUA: 18387\nCNX to BMU: 3942\nIXD to LAU: 6236\nIXD to ATK: 16424\nIXD to BRM: 15014\nIXD to GCK: 14537\nIXD to TUA: 16635\nIXD to BMU: 6764\nATK to LAU: 18426\nATK to BRM: 9860\nATK to GCK: 6680\nATK to TUA: 10306\nATK to BMU: 17014\nBRM to LAU: 13884\nBRM to GCK: 4570\nBRM to TUA: 2109\nBRM to BMU: 20106\nGCK to LAU: 15602\nGCK to TUA: 4943\nGCK to BMU: 16970\nLAU to TUA: 14291\nLAU to BMU: 10338\nTUA to BMU: 20268\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCE, SAB, VBV, IXB, FMA, UNN, TOS, MNA, LBC\n- Travel distances (in kilometers) between each pair of airports:\nRCE to TOS: 8363\nRCE to IXB: 12554\nRCE to FMA: 12283\nRCE to UNN: 12646\nRCE to VBV: 9954\nRCE to LBC: 8980\nRCE to MNA: 14157\nRCE to SAB: 6432\nSAB to TOS: 9042\nSAB to IXB: 14465\nSAB to FMA: 7618\nSAB to UNN: 16771\nSAB to VBV: 15060\nSAB to LBC: 8422\nSAB to MNA: 19709\nVBV to TOS: 16882\nVBV to IXB: 11565\nVBV to FMA: 14141\nVBV to UNN: 10432\nVBV to LBC: 16833\nVBV to MNA: 9218\nIXB to TOS: 7483\nIXB to FMA: 18088\nIXB to UNN: 2566\nIXB to LBC: 7266\nIXB to MNA: 6012\nFMA to TOS: 14342\nFMA to UNN: 20135\nFMA to LBC: 13027\nFMA to MNA: 19951\nUNN to TOS: 9789\nUNN to LBC: 9572\nUNN to MNA: 4615\nTOS to LBC: 2379\nTOS to MNA: 13111\nMNA to LBC: 12923\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62598,
"style": "rule"
}
|
{
"exact_answer": 62598,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RCE\", \"id\": 0}, {\"name\": \"SAB\", \"id\": 1}, {\"name\": \"VBV\", \"id\": 2}, {\"name\": \"IXB\", \"id\": 3}, {\"name\": \"FMA\", \"id\": 4}, {\"name\": \"UNN\", \"id\": 5}, {\"name\": \"TOS\", \"id\": 6}, {\"name\": \"MNA\", \"id\": 7}, {\"name\": \"LBC\", \"id\": 8}], \"links\": [{\"weight\": 8363, \"source\": 0, \"target\": 6}, {\"weight\": 12554, \"source\": 0, \"target\": 3}, {\"weight\": 12283, \"source\": 0, \"target\": 4}, {\"weight\": 12646, \"source\": 0, \"target\": 5}, {\"weight\": 9954, \"source\": 0, \"target\": 2}, {\"weight\": 8980, \"source\": 0, \"target\": 8}, {\"weight\": 14157, \"source\": 0, \"target\": 7}, {\"weight\": 6432, \"source\": 0, \"target\": 1}, {\"weight\": 9042, \"source\": 1, \"target\": 6}, {\"weight\": 14465, \"source\": 1, \"target\": 3}, {\"weight\": 7618, \"source\": 1, \"target\": 4}, {\"weight\": 16771, \"source\": 1, \"target\": 5}, {\"weight\": 15060, \"source\": 1, \"target\": 2}, {\"weight\": 8422, \"source\": 1, \"target\": 8}, {\"weight\": 19709, \"source\": 1, \"target\": 7}, {\"weight\": 16882, \"source\": 2, \"target\": 6}, {\"weight\": 11565, \"source\": 2, \"target\": 3}, {\"weight\": 14141, \"source\": 2, \"target\": 4}, {\"weight\": 10432, \"source\": 2, \"target\": 5}, {\"weight\": 16833, \"source\": 2, \"target\": 8}, {\"weight\": 9218, \"source\": 2, \"target\": 7}, {\"weight\": 7483, \"source\": 3, \"target\": 6}, {\"weight\": 18088, \"source\": 3, \"target\": 4}, {\"weight\": 2566, \"source\": 3, \"target\": 5}, {\"weight\": 7266, \"source\": 3, \"target\": 8}, {\"weight\": 6012, \"source\": 3, \"target\": 7}, {\"weight\": 14342, \"source\": 4, \"target\": 6}, {\"weight\": 20135, \"source\": 4, \"target\": 5}, {\"weight\": 13027, \"source\": 4, \"target\": 8}, {\"weight\": 19951, \"source\": 4, \"target\": 7}, {\"weight\": 9789, \"source\": 5, \"target\": 6}, {\"weight\": 9572, \"source\": 5, \"target\": 8}, {\"weight\": 4615, \"source\": 5, \"target\": 7}, {\"weight\": 2379, \"source\": 6, \"target\": 8}, {\"weight\": 13111, \"source\": 6, \"target\": 7}, {\"weight\": 12923, \"source\": 7, \"target\": 8}]}",
"id": 206,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCE, SAB, VBV, IXB, FMA, UNN, TOS, MNA, LBC\n- Travel distances (in kilometers) between each pair of airports:\nRCE to TOS: 8363\nRCE to IXB: 12554\nRCE to FMA: 12283\nRCE to UNN: 12646\nRCE to VBV: 9954\nRCE to LBC: 8980\nRCE to MNA: 14157\nRCE to SAB: 6432\nSAB to TOS: 9042\nSAB to IXB: 14465\nSAB to FMA: 7618\nSAB to UNN: 16771\nSAB to VBV: 15060\nSAB to LBC: 8422\nSAB to MNA: 19709\nVBV to TOS: 16882\nVBV to IXB: 11565\nVBV to FMA: 14141\nVBV to UNN: 10432\nVBV to LBC: 16833\nVBV to MNA: 9218\nIXB to TOS: 7483\nIXB to FMA: 18088\nIXB to UNN: 2566\nIXB to LBC: 7266\nIXB to MNA: 6012\nFMA to TOS: 14342\nFMA to UNN: 20135\nFMA to LBC: 13027\nFMA to MNA: 19951\nUNN to TOS: 9789\nUNN to LBC: 9572\nUNN to MNA: 4615\nTOS to LBC: 2379\nTOS to MNA: 13111\nMNA to LBC: 12923\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPI, XCH, LLI, AUC, FRA, CJB, BHK, GCI, JSY\n- Travel distances (in kilometers) between each pair of airports:\nLPI to BHK: 4563\nLPI to FRA: 1037\nLPI to CJB: 7845\nLPI to AUC: 10258\nLPI to JSY: 2602\nLPI to GCI: 1572\nLPI to LLI: 6363\nLPI to XCH: 16820\nXCH to BHK: 12557\nXCH to FRA: 16494\nXCH to CJB: 9686\nXCH to AUC: 21937\nXCH to JSY: 15003\nXCH to GCI: 17273\nXCH to LLI: 13092\nLLI to BHK: 5484\nLLI to FRA: 5683\nLLI to CJB: 5170\nLLI to AUC: 14587\nLLI to JSY: 4019\nLLI to GCI: 6250\nAUC to BHK: 13986\nAUC to FRA: 9545\nAUC to CJB: 16914\nAUC to JSY: 10970\nAUC to GCI: 9275\nFRA to GCI: 804\nFRA to BHK: 4557\nFRA to CJB: 7570\nFRA to JSY: 1920\nCJB to BHK: 3966\nCJB to JSY: 6156\nCJB to GCI: 8374\nBHK to JSY: 4019\nBHK to GCI: 5267\nGCI to JSY: 2576\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57412,
"style": "rule"
}
|
{
"exact_answer": 57412,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPI\", \"id\": 0}, {\"name\": \"XCH\", \"id\": 1}, {\"name\": \"LLI\", \"id\": 2}, {\"name\": \"AUC\", \"id\": 3}, {\"name\": \"FRA\", \"id\": 4}, {\"name\": \"CJB\", \"id\": 5}, {\"name\": \"BHK\", \"id\": 6}, {\"name\": \"GCI\", \"id\": 7}, {\"name\": \"JSY\", \"id\": 8}], \"links\": [{\"weight\": 4563, \"source\": 0, \"target\": 6}, {\"weight\": 1037, \"source\": 0, \"target\": 4}, {\"weight\": 7845, \"source\": 0, \"target\": 5}, {\"weight\": 10258, \"source\": 0, \"target\": 3}, {\"weight\": 2602, \"source\": 0, \"target\": 8}, {\"weight\": 1572, \"source\": 0, \"target\": 7}, {\"weight\": 6363, \"source\": 0, \"target\": 2}, {\"weight\": 16820, \"source\": 0, \"target\": 1}, {\"weight\": 12557, \"source\": 1, \"target\": 6}, {\"weight\": 16494, \"source\": 1, \"target\": 4}, {\"weight\": 9686, \"source\": 1, \"target\": 5}, {\"weight\": 21937, \"source\": 1, \"target\": 3}, {\"weight\": 15003, \"source\": 1, \"target\": 8}, {\"weight\": 17273, \"source\": 1, \"target\": 7}, {\"weight\": 13092, \"source\": 1, \"target\": 2}, {\"weight\": 5484, \"source\": 2, \"target\": 6}, {\"weight\": 5683, \"source\": 2, \"target\": 4}, {\"weight\": 5170, \"source\": 2, \"target\": 5}, {\"weight\": 14587, \"source\": 2, \"target\": 3}, {\"weight\": 4019, \"source\": 2, \"target\": 8}, {\"weight\": 6250, \"source\": 2, \"target\": 7}, {\"weight\": 13986, \"source\": 3, \"target\": 6}, {\"weight\": 9545, \"source\": 3, \"target\": 4}, {\"weight\": 16914, \"source\": 3, \"target\": 5}, {\"weight\": 10970, \"source\": 3, \"target\": 8}, {\"weight\": 9275, \"source\": 3, \"target\": 7}, {\"weight\": 804, \"source\": 4, \"target\": 7}, {\"weight\": 4557, \"source\": 4, \"target\": 6}, {\"weight\": 7570, \"source\": 4, \"target\": 5}, {\"weight\": 1920, \"source\": 4, \"target\": 8}, {\"weight\": 3966, \"source\": 5, \"target\": 6}, {\"weight\": 6156, \"source\": 5, \"target\": 8}, {\"weight\": 8374, \"source\": 5, \"target\": 7}, {\"weight\": 4019, \"source\": 6, \"target\": 8}, {\"weight\": 5267, \"source\": 6, \"target\": 7}, {\"weight\": 2576, \"source\": 7, \"target\": 8}]}",
"id": 207,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPI, XCH, LLI, AUC, FRA, CJB, BHK, GCI, JSY\n- Travel distances (in kilometers) between each pair of airports:\nLPI to BHK: 4563\nLPI to FRA: 1037\nLPI to CJB: 7845\nLPI to AUC: 10258\nLPI to JSY: 2602\nLPI to GCI: 1572\nLPI to LLI: 6363\nLPI to XCH: 16820\nXCH to BHK: 12557\nXCH to FRA: 16494\nXCH to CJB: 9686\nXCH to AUC: 21937\nXCH to JSY: 15003\nXCH to GCI: 17273\nXCH to LLI: 13092\nLLI to BHK: 5484\nLLI to FRA: 5683\nLLI to CJB: 5170\nLLI to AUC: 14587\nLLI to JSY: 4019\nLLI to GCI: 6250\nAUC to BHK: 13986\nAUC to FRA: 9545\nAUC to CJB: 16914\nAUC to JSY: 10970\nAUC to GCI: 9275\nFRA to GCI: 804\nFRA to BHK: 4557\nFRA to CJB: 7570\nFRA to JSY: 1920\nCJB to BHK: 3966\nCJB to JSY: 6156\nCJB to GCI: 8374\nBHK to JSY: 4019\nBHK to GCI: 5267\nGCI to JSY: 2576\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRU, LBP, MFU, CCU, MUB, GAL, KIN, BHE, DYR\n- Travel distances (in kilometers) between each pair of airports:\nFRU to CCU: 3165\nFRU to GAL: 14935\nFRU to KIN: 12915\nFRU to MUB: 9006\nFRU to LBP: 6444\nFRU to BHE: 13861\nFRU to MFU: 8445\nFRU to DYR: 7717\nLBP to CCU: 3870\nLBP to GAL: 15172\nLBP to KIN: 17532\nLBP to MUB: 10864\nLBP to BHE: 8718\nLBP to MFU: 11403\nLBP to DYR: 8649\nMFU to CCU: 8449\nMFU to GAL: 19028\nMFU to KIN: 14135\nMFU to MUB: 1725\nMFU to BHE: 14971\nMFU to DYR: 14801\nCCU to GAL: 15159\nCCU to KIN: 15575\nCCU to MUB: 9034\nCCU to BHE: 11457\nCCU to DYR: 8407\nMUB to GAL: 19102\nMUB to KIN: 14007\nMUB to BHE: 14174\nMUB to DYR: 15422\nGAL to KIN: 8179\nGAL to BHE: 12916\nGAL to DYR: 15100\nKIN to BHE: 15515\nKIN to DYR: 16287\nBHE to DYR: 13897\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 73525,
"style": "rule"
}
|
{
"exact_answer": 73525,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FRU\", \"id\": 0}, {\"name\": \"LBP\", \"id\": 1}, {\"name\": \"MFU\", \"id\": 2}, {\"name\": \"CCU\", \"id\": 3}, {\"name\": \"MUB\", \"id\": 4}, {\"name\": \"GAL\", \"id\": 5}, {\"name\": \"KIN\", \"id\": 6}, {\"name\": \"BHE\", \"id\": 7}, {\"name\": \"DYR\", \"id\": 8}], \"links\": [{\"weight\": 3165, \"source\": 0, \"target\": 3}, {\"weight\": 14935, \"source\": 0, \"target\": 5}, {\"weight\": 12915, \"source\": 0, \"target\": 6}, {\"weight\": 9006, \"source\": 0, \"target\": 4}, {\"weight\": 6444, \"source\": 0, \"target\": 1}, {\"weight\": 13861, \"source\": 0, \"target\": 7}, {\"weight\": 8445, \"source\": 0, \"target\": 2}, {\"weight\": 7717, \"source\": 0, \"target\": 8}, {\"weight\": 3870, \"source\": 1, \"target\": 3}, {\"weight\": 15172, \"source\": 1, \"target\": 5}, {\"weight\": 17532, \"source\": 1, \"target\": 6}, {\"weight\": 10864, \"source\": 1, \"target\": 4}, {\"weight\": 8718, \"source\": 1, \"target\": 7}, {\"weight\": 11403, \"source\": 1, \"target\": 2}, {\"weight\": 8649, \"source\": 1, \"target\": 8}, {\"weight\": 8449, \"source\": 2, \"target\": 3}, {\"weight\": 19028, \"source\": 2, \"target\": 5}, {\"weight\": 14135, \"source\": 2, \"target\": 6}, {\"weight\": 1725, \"source\": 2, \"target\": 4}, {\"weight\": 14971, \"source\": 2, \"target\": 7}, {\"weight\": 14801, \"source\": 2, \"target\": 8}, {\"weight\": 15159, \"source\": 3, \"target\": 5}, {\"weight\": 15575, \"source\": 3, \"target\": 6}, {\"weight\": 9034, \"source\": 3, \"target\": 4}, {\"weight\": 11457, \"source\": 3, \"target\": 7}, {\"weight\": 8407, \"source\": 3, \"target\": 8}, {\"weight\": 19102, \"source\": 4, \"target\": 5}, {\"weight\": 14007, \"source\": 4, \"target\": 6}, {\"weight\": 14174, \"source\": 4, \"target\": 7}, {\"weight\": 15422, \"source\": 4, \"target\": 8}, {\"weight\": 8179, \"source\": 5, \"target\": 6}, {\"weight\": 12916, \"source\": 5, \"target\": 7}, {\"weight\": 15100, \"source\": 5, \"target\": 8}, {\"weight\": 15515, \"source\": 6, \"target\": 7}, {\"weight\": 16287, \"source\": 6, \"target\": 8}, {\"weight\": 13897, \"source\": 7, \"target\": 8}]}",
"id": 208,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRU, LBP, MFU, CCU, MUB, GAL, KIN, BHE, DYR\n- Travel distances (in kilometers) between each pair of airports:\nFRU to CCU: 3165\nFRU to GAL: 14935\nFRU to KIN: 12915\nFRU to MUB: 9006\nFRU to LBP: 6444\nFRU to BHE: 13861\nFRU to MFU: 8445\nFRU to DYR: 7717\nLBP to CCU: 3870\nLBP to GAL: 15172\nLBP to KIN: 17532\nLBP to MUB: 10864\nLBP to BHE: 8718\nLBP to MFU: 11403\nLBP to DYR: 8649\nMFU to CCU: 8449\nMFU to GAL: 19028\nMFU to KIN: 14135\nMFU to MUB: 1725\nMFU to BHE: 14971\nMFU to DYR: 14801\nCCU to GAL: 15159\nCCU to KIN: 15575\nCCU to MUB: 9034\nCCU to BHE: 11457\nCCU to DYR: 8407\nMUB to GAL: 19102\nMUB to KIN: 14007\nMUB to BHE: 14174\nMUB to DYR: 15422\nGAL to KIN: 8179\nGAL to BHE: 12916\nGAL to DYR: 15100\nKIN to BHE: 15515\nKIN to DYR: 16287\nBHE to DYR: 13897\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BRQ, SBW, YYZ, CKY, CSY, RDU, KKI, JHB, UNG\n- Travel distances (in kilometers) between each pair of airports:\nBRQ to CKY: 6083\nBRQ to KKI: 11892\nBRQ to CSY: 4285\nBRQ to YYZ: 6929\nBRQ to RDU: 7455\nBRQ to JHB: 11998\nBRQ to SBW: 12890\nBRQ to UNG: 16599\nSBW to JHB: 925\nSBW to CKY: 14197\nSBW to KKI: 15355\nSBW to CSY: 9799\nSBW to YYZ: 14885\nSBW to RDU: 15729\nSBW to UNG: 5832\nYYZ to RDU: 870\nYYZ to CKY: 7417\nYYZ to KKI: 5802\nYYZ to CSY: 7998\nYYZ to JHB: 15225\nYYZ to UNG: 16127\nCKY to KKI: 13196\nCKY to CSY: 7480\nCKY to RDU: 7472\nCKY to JHB: 13305\nCKY to UNG: 19035\nCSY to KKI: 12636\nCSY to RDU: 8673\nCSY to JHB: 8958\nCSY to UNG: 13517\nRDU to KKI: 6279\nRDU to JHB: 16095\nRDU to UNG: 16625\nKKI to JHB: 16216\nKKI to UNG: 14392\nJHB to UNG: 5996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54619,
"style": "rule"
}
|
{
"exact_answer": 54619,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BRQ\", \"id\": 0}, {\"name\": \"SBW\", \"id\": 1}, {\"name\": \"YYZ\", \"id\": 2}, {\"name\": \"CKY\", \"id\": 3}, {\"name\": \"CSY\", \"id\": 4}, {\"name\": \"RDU\", \"id\": 5}, {\"name\": \"KKI\", \"id\": 6}, {\"name\": \"JHB\", \"id\": 7}, {\"name\": \"UNG\", \"id\": 8}], \"links\": [{\"weight\": 6083, \"source\": 0, \"target\": 3}, {\"weight\": 11892, \"source\": 0, \"target\": 6}, {\"weight\": 4285, \"source\": 0, \"target\": 4}, {\"weight\": 6929, \"source\": 0, \"target\": 2}, {\"weight\": 7455, \"source\": 0, \"target\": 5}, {\"weight\": 11998, \"source\": 0, \"target\": 7}, {\"weight\": 12890, \"source\": 0, \"target\": 1}, {\"weight\": 16599, \"source\": 0, \"target\": 8}, {\"weight\": 925, \"source\": 1, \"target\": 7}, {\"weight\": 14197, \"source\": 1, \"target\": 3}, {\"weight\": 15355, \"source\": 1, \"target\": 6}, {\"weight\": 9799, \"source\": 1, \"target\": 4}, {\"weight\": 14885, \"source\": 1, \"target\": 2}, {\"weight\": 15729, \"source\": 1, \"target\": 5}, {\"weight\": 5832, \"source\": 1, \"target\": 8}, {\"weight\": 870, \"source\": 2, \"target\": 5}, {\"weight\": 7417, \"source\": 2, \"target\": 3}, {\"weight\": 5802, \"source\": 2, \"target\": 6}, {\"weight\": 7998, \"source\": 2, \"target\": 4}, {\"weight\": 15225, \"source\": 2, \"target\": 7}, {\"weight\": 16127, \"source\": 2, \"target\": 8}, {\"weight\": 13196, \"source\": 3, \"target\": 6}, {\"weight\": 7480, \"source\": 3, \"target\": 4}, {\"weight\": 7472, \"source\": 3, \"target\": 5}, {\"weight\": 13305, \"source\": 3, \"target\": 7}, {\"weight\": 19035, \"source\": 3, \"target\": 8}, {\"weight\": 12636, \"source\": 4, \"target\": 6}, {\"weight\": 8673, \"source\": 4, \"target\": 5}, {\"weight\": 8958, \"source\": 4, \"target\": 7}, {\"weight\": 13517, \"source\": 4, \"target\": 8}, {\"weight\": 6279, \"source\": 5, \"target\": 6}, {\"weight\": 16095, \"source\": 5, \"target\": 7}, {\"weight\": 16625, \"source\": 5, \"target\": 8}, {\"weight\": 16216, \"source\": 6, \"target\": 7}, {\"weight\": 14392, \"source\": 6, \"target\": 8}, {\"weight\": 5996, \"source\": 7, \"target\": 8}]}",
"id": 209,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BRQ, SBW, YYZ, CKY, CSY, RDU, KKI, JHB, UNG\n- Travel distances (in kilometers) between each pair of airports:\nBRQ to CKY: 6083\nBRQ to KKI: 11892\nBRQ to CSY: 4285\nBRQ to YYZ: 6929\nBRQ to RDU: 7455\nBRQ to JHB: 11998\nBRQ to SBW: 12890\nBRQ to UNG: 16599\nSBW to JHB: 925\nSBW to CKY: 14197\nSBW to KKI: 15355\nSBW to CSY: 9799\nSBW to YYZ: 14885\nSBW to RDU: 15729\nSBW to UNG: 5832\nYYZ to RDU: 870\nYYZ to CKY: 7417\nYYZ to KKI: 5802\nYYZ to CSY: 7998\nYYZ to JHB: 15225\nYYZ to UNG: 16127\nCKY to KKI: 13196\nCKY to CSY: 7480\nCKY to RDU: 7472\nCKY to JHB: 13305\nCKY to UNG: 19035\nCSY to KKI: 12636\nCSY to RDU: 8673\nCSY to JHB: 8958\nCSY to UNG: 13517\nRDU to KKI: 6279\nRDU to JHB: 16095\nRDU to UNG: 16625\nKKI to JHB: 16216\nKKI to UNG: 14392\nJHB to UNG: 5996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLW, IKI, SBN, AJF, KCA, YCY, BBI, PQQ, YSO\n- Travel distances (in kilometers) between each pair of airports:\nSLW to YCY: 6006\nSLW to BBI: 15526\nSLW to SBN: 2362\nSLW to KCA: 14431\nSLW to IKI: 12507\nSLW to PQQ: 14914\nSLW to YSO: 4864\nSLW to AJF: 14137\nIKI to YCY: 13369\nIKI to BBI: 4726\nIKI to SBN: 11311\nIKI to KCA: 4457\nIKI to PQQ: 8263\nIKI to YSO: 13390\nIKI to AJF: 9016\nSBN to YCY: 3802\nSBN to BBI: 13432\nSBN to KCA: 12227\nSBN to PQQ: 14919\nSBN to YSO: 2679\nSBN to AJF: 11942\nAJF to YCY: 12598\nAJF to BBI: 4974\nAJF to KCA: 5581\nAJF to PQQ: 14023\nAJF to YSO: 10383\nKCA to YCY: 13619\nKCA to BBI: 4085\nKCA to PQQ: 11247\nKCA to YSO: 11404\nYCY to BBI: 14952\nYCY to PQQ: 17242\nYCY to YSO: 2577\nBBI to PQQ: 9728\nBBI to YSO: 12737\nPQQ to YSO: 17500\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55817,
"style": "rule"
}
|
{
"exact_answer": 55817,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLW\", \"id\": 0}, {\"name\": \"IKI\", \"id\": 1}, {\"name\": \"SBN\", \"id\": 2}, {\"name\": \"AJF\", \"id\": 3}, {\"name\": \"KCA\", \"id\": 4}, {\"name\": \"YCY\", \"id\": 5}, {\"name\": \"BBI\", \"id\": 6}, {\"name\": \"PQQ\", \"id\": 7}, {\"name\": \"YSO\", \"id\": 8}], \"links\": [{\"weight\": 6006, \"source\": 0, \"target\": 5}, {\"weight\": 15526, \"source\": 0, \"target\": 6}, {\"weight\": 2362, \"source\": 0, \"target\": 2}, {\"weight\": 14431, \"source\": 0, \"target\": 4}, {\"weight\": 12507, \"source\": 0, \"target\": 1}, {\"weight\": 14914, \"source\": 0, \"target\": 7}, {\"weight\": 4864, \"source\": 0, \"target\": 8}, {\"weight\": 14137, \"source\": 0, \"target\": 3}, {\"weight\": 13369, \"source\": 1, \"target\": 5}, {\"weight\": 4726, \"source\": 1, \"target\": 6}, {\"weight\": 11311, \"source\": 1, \"target\": 2}, {\"weight\": 4457, \"source\": 1, \"target\": 4}, {\"weight\": 8263, \"source\": 1, \"target\": 7}, {\"weight\": 13390, \"source\": 1, \"target\": 8}, {\"weight\": 9016, \"source\": 1, \"target\": 3}, {\"weight\": 3802, \"source\": 2, \"target\": 5}, {\"weight\": 13432, \"source\": 2, \"target\": 6}, {\"weight\": 12227, \"source\": 2, \"target\": 4}, {\"weight\": 14919, \"source\": 2, \"target\": 7}, {\"weight\": 2679, \"source\": 2, \"target\": 8}, {\"weight\": 11942, \"source\": 2, \"target\": 3}, {\"weight\": 12598, \"source\": 3, \"target\": 5}, {\"weight\": 4974, \"source\": 3, \"target\": 6}, {\"weight\": 5581, \"source\": 3, \"target\": 4}, {\"weight\": 14023, \"source\": 3, \"target\": 7}, {\"weight\": 10383, \"source\": 3, \"target\": 8}, {\"weight\": 13619, \"source\": 4, \"target\": 5}, {\"weight\": 4085, \"source\": 4, \"target\": 6}, {\"weight\": 11247, \"source\": 4, \"target\": 7}, {\"weight\": 11404, \"source\": 4, \"target\": 8}, {\"weight\": 14952, \"source\": 5, \"target\": 6}, {\"weight\": 17242, \"source\": 5, \"target\": 7}, {\"weight\": 2577, \"source\": 5, \"target\": 8}, {\"weight\": 9728, \"source\": 6, \"target\": 7}, {\"weight\": 12737, \"source\": 6, \"target\": 8}, {\"weight\": 17500, \"source\": 7, \"target\": 8}]}",
"id": 210,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLW, IKI, SBN, AJF, KCA, YCY, BBI, PQQ, YSO\n- Travel distances (in kilometers) between each pair of airports:\nSLW to YCY: 6006\nSLW to BBI: 15526\nSLW to SBN: 2362\nSLW to KCA: 14431\nSLW to IKI: 12507\nSLW to PQQ: 14914\nSLW to YSO: 4864\nSLW to AJF: 14137\nIKI to YCY: 13369\nIKI to BBI: 4726\nIKI to SBN: 11311\nIKI to KCA: 4457\nIKI to PQQ: 8263\nIKI to YSO: 13390\nIKI to AJF: 9016\nSBN to YCY: 3802\nSBN to BBI: 13432\nSBN to KCA: 12227\nSBN to PQQ: 14919\nSBN to YSO: 2679\nSBN to AJF: 11942\nAJF to YCY: 12598\nAJF to BBI: 4974\nAJF to KCA: 5581\nAJF to PQQ: 14023\nAJF to YSO: 10383\nKCA to YCY: 13619\nKCA to BBI: 4085\nKCA to PQQ: 11247\nKCA to YSO: 11404\nYCY to BBI: 14952\nYCY to PQQ: 17242\nYCY to YSO: 2577\nBBI to PQQ: 9728\nBBI to YSO: 12737\nPQQ to YSO: 17500\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SXB, TBI, CFR, MEH, KWL, OPO, PIK, JAU, TAS\n- Travel distances (in kilometers) between each pair of airports:\nSXB to OPO: 1515\nSXB to KWL: 8822\nSXB to CFR: 598\nSXB to TAS: 4793\nSXB to PIK: 1370\nSXB to TBI: 7891\nSXB to JAU: 10964\nSXB to MEH: 2850\nTBI to KWL: 14610\nTBI to OPO: 7347\nTBI to CFR: 7774\nTBI to TAS: 12215\nTBI to PIK: 7292\nTBI to JAU: 4543\nTBI to MEH: 8881\nCFR to KWL: 9334\nCFR to OPO: 1413\nCFR to TAS: 5367\nCFR to PIK: 1265\nCFR to JAU: 10895\nCFR to MEH: 3030\nMEH to KWL: 9004\nMEH to OPO: 3925\nMEH to TAS: 5179\nMEH to PIK: 2875\nMEH to JAU: 12952\nKWL to OPO: 10307\nKWL to TAS: 4429\nKWL to PIK: 9233\nKWL to JAU: 18557\nOPO to TAS: 6279\nOPO to PIK: 1622\nOPO to JAU: 9532\nPIK to TAS: 5400\nPIK to JAU: 10993\nJAU to TAS: 15586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44479,
"style": "rule"
}
|
{
"exact_answer": 44479,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SXB\", \"id\": 0}, {\"name\": \"TBI\", \"id\": 1}, {\"name\": \"CFR\", \"id\": 2}, {\"name\": \"MEH\", \"id\": 3}, {\"name\": \"KWL\", \"id\": 4}, {\"name\": \"OPO\", \"id\": 5}, {\"name\": \"PIK\", \"id\": 6}, {\"name\": \"JAU\", \"id\": 7}, {\"name\": \"TAS\", \"id\": 8}], \"links\": [{\"weight\": 1515, \"source\": 0, \"target\": 5}, {\"weight\": 8822, \"source\": 0, \"target\": 4}, {\"weight\": 598, \"source\": 0, \"target\": 2}, {\"weight\": 4793, \"source\": 0, \"target\": 8}, {\"weight\": 1370, \"source\": 0, \"target\": 6}, {\"weight\": 7891, \"source\": 0, \"target\": 1}, {\"weight\": 10964, \"source\": 0, \"target\": 7}, {\"weight\": 2850, \"source\": 0, \"target\": 3}, {\"weight\": 14610, \"source\": 1, \"target\": 4}, {\"weight\": 7347, \"source\": 1, \"target\": 5}, {\"weight\": 7774, \"source\": 1, \"target\": 2}, {\"weight\": 12215, \"source\": 1, \"target\": 8}, {\"weight\": 7292, \"source\": 1, \"target\": 6}, {\"weight\": 4543, \"source\": 1, \"target\": 7}, {\"weight\": 8881, \"source\": 1, \"target\": 3}, {\"weight\": 9334, \"source\": 2, \"target\": 4}, {\"weight\": 1413, \"source\": 2, \"target\": 5}, {\"weight\": 5367, \"source\": 2, \"target\": 8}, {\"weight\": 1265, \"source\": 2, \"target\": 6}, {\"weight\": 10895, \"source\": 2, \"target\": 7}, {\"weight\": 3030, \"source\": 2, \"target\": 3}, {\"weight\": 9004, \"source\": 3, \"target\": 4}, {\"weight\": 3925, \"source\": 3, \"target\": 5}, {\"weight\": 5179, \"source\": 3, \"target\": 8}, {\"weight\": 2875, \"source\": 3, \"target\": 6}, {\"weight\": 12952, \"source\": 3, \"target\": 7}, {\"weight\": 10307, \"source\": 4, \"target\": 5}, {\"weight\": 4429, \"source\": 4, \"target\": 8}, {\"weight\": 9233, \"source\": 4, \"target\": 6}, {\"weight\": 18557, \"source\": 4, \"target\": 7}, {\"weight\": 6279, \"source\": 5, \"target\": 8}, {\"weight\": 1622, \"source\": 5, \"target\": 6}, {\"weight\": 9532, \"source\": 5, \"target\": 7}, {\"weight\": 5400, \"source\": 6, \"target\": 8}, {\"weight\": 10993, \"source\": 6, \"target\": 7}, {\"weight\": 15586, \"source\": 7, \"target\": 8}]}",
"id": 211,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SXB, TBI, CFR, MEH, KWL, OPO, PIK, JAU, TAS\n- Travel distances (in kilometers) between each pair of airports:\nSXB to OPO: 1515\nSXB to KWL: 8822\nSXB to CFR: 598\nSXB to TAS: 4793\nSXB to PIK: 1370\nSXB to TBI: 7891\nSXB to JAU: 10964\nSXB to MEH: 2850\nTBI to KWL: 14610\nTBI to OPO: 7347\nTBI to CFR: 7774\nTBI to TAS: 12215\nTBI to PIK: 7292\nTBI to JAU: 4543\nTBI to MEH: 8881\nCFR to KWL: 9334\nCFR to OPO: 1413\nCFR to TAS: 5367\nCFR to PIK: 1265\nCFR to JAU: 10895\nCFR to MEH: 3030\nMEH to KWL: 9004\nMEH to OPO: 3925\nMEH to TAS: 5179\nMEH to PIK: 2875\nMEH to JAU: 12952\nKWL to OPO: 10307\nKWL to TAS: 4429\nKWL to PIK: 9233\nKWL to JAU: 18557\nOPO to TAS: 6279\nOPO to PIK: 1622\nOPO to JAU: 9532\nPIK to TAS: 5400\nPIK to JAU: 10993\nJAU to TAS: 15586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BOC, CFS, TBN, RJH, SMI, MMH, UIB, TAY\n- Travel distances (in kilometers) between each pair of airports:\nPYY to RJH: 1617\nPYY to BOC: 17279\nPYY to TBN: 14160\nPYY to UIB: 18215\nPYY to SMI: 8050\nPYY to MMH: 13441\nPYY to TAY: 8255\nPYY to CFS: 8639\nBOC to RJH: 17154\nBOC to TBN: 3793\nBOC to UIB: 1673\nBOC to SMI: 11364\nBOC to MMH: 5019\nBOC to TAY: 10620\nBOC to CFS: 17038\nCFS to RJH: 9716\nCFS to TBN: 15248\nCFS to UIB: 16214\nCFS to SMI: 16018\nCFS to MMH: 12913\nCFS to TAY: 15888\nTBN to RJH: 14242\nTBN to UIB: 4625\nTBN to SMI: 9574\nTBN to MMH: 3157\nTBN to TAY: 8098\nRJH to UIB: 17119\nRJH to SMI: 6878\nRJH to MMH: 14009\nRJH to TAY: 7083\nSMI to UIB: 10966\nSMI to MMH: 11728\nSMI to TAY: 2988\nMMH to UIB: 6159\nMMH to TAY: 9916\nUIB to TAY: 10799\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52450,
"style": "rule"
}
|
{
"exact_answer": 52450,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PYY\", \"id\": 0}, {\"name\": \"BOC\", \"id\": 1}, {\"name\": \"CFS\", \"id\": 2}, {\"name\": \"TBN\", \"id\": 3}, {\"name\": \"RJH\", \"id\": 4}, {\"name\": \"SMI\", \"id\": 5}, {\"name\": \"MMH\", \"id\": 6}, {\"name\": \"UIB\", \"id\": 7}, {\"name\": \"TAY\", \"id\": 8}], \"links\": [{\"weight\": 1617, \"source\": 0, \"target\": 4}, {\"weight\": 17279, \"source\": 0, \"target\": 1}, {\"weight\": 14160, \"source\": 0, \"target\": 3}, {\"weight\": 18215, \"source\": 0, \"target\": 7}, {\"weight\": 8050, \"source\": 0, \"target\": 5}, {\"weight\": 13441, \"source\": 0, \"target\": 6}, {\"weight\": 8255, \"source\": 0, \"target\": 8}, {\"weight\": 8639, \"source\": 0, \"target\": 2}, {\"weight\": 17154, \"source\": 1, \"target\": 4}, {\"weight\": 3793, \"source\": 1, \"target\": 3}, {\"weight\": 1673, \"source\": 1, \"target\": 7}, {\"weight\": 11364, \"source\": 1, \"target\": 5}, {\"weight\": 5019, \"source\": 1, \"target\": 6}, {\"weight\": 10620, \"source\": 1, \"target\": 8}, {\"weight\": 17038, \"source\": 1, \"target\": 2}, {\"weight\": 9716, \"source\": 2, \"target\": 4}, {\"weight\": 15248, \"source\": 2, \"target\": 3}, {\"weight\": 16214, \"source\": 2, \"target\": 7}, {\"weight\": 16018, \"source\": 2, \"target\": 5}, {\"weight\": 12913, \"source\": 2, \"target\": 6}, {\"weight\": 15888, \"source\": 2, \"target\": 8}, {\"weight\": 14242, \"source\": 3, \"target\": 4}, {\"weight\": 4625, \"source\": 3, \"target\": 7}, {\"weight\": 9574, \"source\": 3, \"target\": 5}, {\"weight\": 3157, \"source\": 3, \"target\": 6}, {\"weight\": 8098, \"source\": 3, \"target\": 8}, {\"weight\": 17119, \"source\": 4, \"target\": 7}, {\"weight\": 6878, \"source\": 4, \"target\": 5}, {\"weight\": 14009, \"source\": 4, \"target\": 6}, {\"weight\": 7083, \"source\": 4, \"target\": 8}, {\"weight\": 10966, \"source\": 5, \"target\": 7}, {\"weight\": 11728, \"source\": 5, \"target\": 6}, {\"weight\": 2988, \"source\": 5, \"target\": 8}, {\"weight\": 6159, \"source\": 6, \"target\": 7}, {\"weight\": 9916, \"source\": 6, \"target\": 8}, {\"weight\": 10799, \"source\": 7, \"target\": 8}]}",
"id": 212,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BOC, CFS, TBN, RJH, SMI, MMH, UIB, TAY\n- Travel distances (in kilometers) between each pair of airports:\nPYY to RJH: 1617\nPYY to BOC: 17279\nPYY to TBN: 14160\nPYY to UIB: 18215\nPYY to SMI: 8050\nPYY to MMH: 13441\nPYY to TAY: 8255\nPYY to CFS: 8639\nBOC to RJH: 17154\nBOC to TBN: 3793\nBOC to UIB: 1673\nBOC to SMI: 11364\nBOC to MMH: 5019\nBOC to TAY: 10620\nBOC to CFS: 17038\nCFS to RJH: 9716\nCFS to TBN: 15248\nCFS to UIB: 16214\nCFS to SMI: 16018\nCFS to MMH: 12913\nCFS to TAY: 15888\nTBN to RJH: 14242\nTBN to UIB: 4625\nTBN to SMI: 9574\nTBN to MMH: 3157\nTBN to TAY: 8098\nRJH to UIB: 17119\nRJH to SMI: 6878\nRJH to MMH: 14009\nRJH to TAY: 7083\nSMI to UIB: 10966\nSMI to MMH: 11728\nSMI to TAY: 2988\nMMH to UIB: 6159\nMMH to TAY: 9916\nUIB to TAY: 10799\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ILG, LMA, MBL, NRL, ODY, BHR, MIA, FLS, IQT\n- Travel distances (in kilometers) between each pair of airports:\nILG to IQT: 5096\nILG to MIA: 1664\nILG to LMA: 6252\nILG to NRL: 6740\nILG to MBL: 1350\nILG to ODY: 14484\nILG to FLS: 17005\nILG to BHR: 13621\nLMA to IQT: 10147\nLMA to MIA: 7077\nLMA to NRL: 10262\nLMA to MBL: 5559\nLMA to ODY: 14506\nLMA to FLS: 14386\nLMA to BHR: 14662\nMBL to IQT: 5612\nMBL to MIA: 2205\nMBL to NRL: 6700\nMBL to ODY: 14444\nMBL to FLS: 16260\nMBL to BHR: 13581\nNRL to IQT: 10628\nNRL to MIA: 7337\nNRL to ODY: 10165\nNRL to FLS: 17702\nNRL to BHR: 7912\nODY to IQT: 19024\nODY to MIA: 15619\nODY to FLS: 8606\nODY to BHR: 2930\nBHR to IQT: 17661\nBHR to MIA: 14416\nBHR to FLS: 10301\nMIA to IQT: 3441\nMIA to FLS: 16697\nFLS to IQT: 15894\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56476,
"style": "rule"
}
|
{
"exact_answer": 56476,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ILG\", \"id\": 0}, {\"name\": \"LMA\", \"id\": 1}, {\"name\": \"MBL\", \"id\": 2}, {\"name\": \"NRL\", \"id\": 3}, {\"name\": \"ODY\", \"id\": 4}, {\"name\": \"BHR\", \"id\": 5}, {\"name\": \"MIA\", \"id\": 6}, {\"name\": \"FLS\", \"id\": 7}, {\"name\": \"IQT\", \"id\": 8}], \"links\": [{\"weight\": 5096, \"source\": 0, \"target\": 8}, {\"weight\": 1664, \"source\": 0, \"target\": 6}, {\"weight\": 6252, \"source\": 0, \"target\": 1}, {\"weight\": 6740, \"source\": 0, \"target\": 3}, {\"weight\": 1350, \"source\": 0, \"target\": 2}, {\"weight\": 14484, \"source\": 0, \"target\": 4}, {\"weight\": 17005, \"source\": 0, \"target\": 7}, {\"weight\": 13621, \"source\": 0, \"target\": 5}, {\"weight\": 10147, \"source\": 1, \"target\": 8}, {\"weight\": 7077, \"source\": 1, \"target\": 6}, {\"weight\": 10262, \"source\": 1, \"target\": 3}, {\"weight\": 5559, \"source\": 1, \"target\": 2}, {\"weight\": 14506, \"source\": 1, \"target\": 4}, {\"weight\": 14386, \"source\": 1, \"target\": 7}, {\"weight\": 14662, \"source\": 1, \"target\": 5}, {\"weight\": 5612, \"source\": 2, \"target\": 8}, {\"weight\": 2205, \"source\": 2, \"target\": 6}, {\"weight\": 6700, \"source\": 2, \"target\": 3}, {\"weight\": 14444, \"source\": 2, \"target\": 4}, {\"weight\": 16260, \"source\": 2, \"target\": 7}, {\"weight\": 13581, \"source\": 2, \"target\": 5}, {\"weight\": 10628, \"source\": 3, \"target\": 8}, {\"weight\": 7337, \"source\": 3, \"target\": 6}, {\"weight\": 10165, \"source\": 3, \"target\": 4}, {\"weight\": 17702, \"source\": 3, \"target\": 7}, {\"weight\": 7912, \"source\": 3, \"target\": 5}, {\"weight\": 19024, \"source\": 4, \"target\": 8}, {\"weight\": 15619, \"source\": 4, \"target\": 6}, {\"weight\": 8606, \"source\": 4, \"target\": 7}, {\"weight\": 2930, \"source\": 4, \"target\": 5}, {\"weight\": 17661, \"source\": 5, \"target\": 8}, {\"weight\": 14416, \"source\": 5, \"target\": 6}, {\"weight\": 10301, \"source\": 5, \"target\": 7}, {\"weight\": 3441, \"source\": 6, \"target\": 8}, {\"weight\": 16697, \"source\": 6, \"target\": 7}, {\"weight\": 15894, \"source\": 7, \"target\": 8}]}",
"id": 213,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ILG, LMA, MBL, NRL, ODY, BHR, MIA, FLS, IQT\n- Travel distances (in kilometers) between each pair of airports:\nILG to IQT: 5096\nILG to MIA: 1664\nILG to LMA: 6252\nILG to NRL: 6740\nILG to MBL: 1350\nILG to ODY: 14484\nILG to FLS: 17005\nILG to BHR: 13621\nLMA to IQT: 10147\nLMA to MIA: 7077\nLMA to NRL: 10262\nLMA to MBL: 5559\nLMA to ODY: 14506\nLMA to FLS: 14386\nLMA to BHR: 14662\nMBL to IQT: 5612\nMBL to MIA: 2205\nMBL to NRL: 6700\nMBL to ODY: 14444\nMBL to FLS: 16260\nMBL to BHR: 13581\nNRL to IQT: 10628\nNRL to MIA: 7337\nNRL to ODY: 10165\nNRL to FLS: 17702\nNRL to BHR: 7912\nODY to IQT: 19024\nODY to MIA: 15619\nODY to FLS: 8606\nODY to BHR: 2930\nBHR to IQT: 17661\nBHR to MIA: 14416\nBHR to FLS: 10301\nMIA to IQT: 3441\nMIA to FLS: 16697\nFLS to IQT: 15894\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HBE, RSU, MWA, ROS, PSA, BDL, CMH, YVZ, ZSJ\n- Travel distances (in kilometers) between each pair of airports:\nHBE to PSA: 2273\nHBE to ROS: 12235\nHBE to MWA: 10277\nHBE to BDL: 8973\nHBE to CMH: 9558\nHBE to RSU: 8956\nHBE to YVZ: 10579\nHBE to ZSJ: 10590\nRSU to PSA: 9378\nRSU to ROS: 19834\nRSU to MWA: 11716\nRSU to BDL: 11834\nRSU to CMH: 11523\nRSU to YVZ: 11062\nRSU to ZSJ: 11109\nMWA to PSA: 8077\nMWA to ROS: 8828\nMWA to BDL: 1702\nMWA to CMH: 819\nMWA to YVZ: 1970\nMWA to ZSJ: 2017\nROS to PSA: 11235\nROS to BDL: 8902\nROS to CMH: 8594\nROS to YVZ: 10457\nROS to ZSJ: 10504\nPSA to BDL: 6759\nPSA to CMH: 7355\nPSA to YVZ: 8376\nPSA to ZSJ: 8387\nBDL to CMH: 966\nBDL to YVZ: 2109\nBDL to ZSJ: 2120\nCMH to YVZ: 2001\nCMH to ZSJ: 2012\nYVZ to ZSJ: 66\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46296,
"style": "rule"
}
|
{
"exact_answer": 46296,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HBE\", \"id\": 0}, {\"name\": \"RSU\", \"id\": 1}, {\"name\": \"MWA\", \"id\": 2}, {\"name\": \"ROS\", \"id\": 3}, {\"name\": \"PSA\", \"id\": 4}, {\"name\": \"BDL\", \"id\": 5}, {\"name\": \"CMH\", \"id\": 6}, {\"name\": \"YVZ\", \"id\": 7}, {\"name\": \"ZSJ\", \"id\": 8}], \"links\": [{\"weight\": 2273, \"source\": 0, \"target\": 4}, {\"weight\": 12235, \"source\": 0, \"target\": 3}, {\"weight\": 10277, \"source\": 0, \"target\": 2}, {\"weight\": 8973, \"source\": 0, \"target\": 5}, {\"weight\": 9558, \"source\": 0, \"target\": 6}, {\"weight\": 8956, \"source\": 0, \"target\": 1}, {\"weight\": 10579, \"source\": 0, \"target\": 7}, {\"weight\": 10590, \"source\": 0, \"target\": 8}, {\"weight\": 9378, \"source\": 1, \"target\": 4}, {\"weight\": 19834, \"source\": 1, \"target\": 3}, {\"weight\": 11716, \"source\": 1, \"target\": 2}, {\"weight\": 11834, \"source\": 1, \"target\": 5}, {\"weight\": 11523, \"source\": 1, \"target\": 6}, {\"weight\": 11062, \"source\": 1, \"target\": 7}, {\"weight\": 11109, \"source\": 1, \"target\": 8}, {\"weight\": 8077, \"source\": 2, \"target\": 4}, {\"weight\": 8828, \"source\": 2, \"target\": 3}, {\"weight\": 1702, \"source\": 2, \"target\": 5}, {\"weight\": 819, \"source\": 2, \"target\": 6}, {\"weight\": 1970, \"source\": 2, \"target\": 7}, {\"weight\": 2017, \"source\": 2, \"target\": 8}, {\"weight\": 11235, \"source\": 3, \"target\": 4}, {\"weight\": 8902, \"source\": 3, \"target\": 5}, {\"weight\": 8594, \"source\": 3, \"target\": 6}, {\"weight\": 10457, \"source\": 3, \"target\": 7}, {\"weight\": 10504, \"source\": 3, \"target\": 8}, {\"weight\": 6759, \"source\": 4, \"target\": 5}, {\"weight\": 7355, \"source\": 4, \"target\": 6}, {\"weight\": 8376, \"source\": 4, \"target\": 7}, {\"weight\": 8387, \"source\": 4, \"target\": 8}, {\"weight\": 966, \"source\": 5, \"target\": 6}, {\"weight\": 2109, \"source\": 5, \"target\": 7}, {\"weight\": 2120, \"source\": 5, \"target\": 8}, {\"weight\": 2001, \"source\": 6, \"target\": 7}, {\"weight\": 2012, \"source\": 6, \"target\": 8}, {\"weight\": 66, \"source\": 7, \"target\": 8}]}",
"id": 214,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HBE, RSU, MWA, ROS, PSA, BDL, CMH, YVZ, ZSJ\n- Travel distances (in kilometers) between each pair of airports:\nHBE to PSA: 2273\nHBE to ROS: 12235\nHBE to MWA: 10277\nHBE to BDL: 8973\nHBE to CMH: 9558\nHBE to RSU: 8956\nHBE to YVZ: 10579\nHBE to ZSJ: 10590\nRSU to PSA: 9378\nRSU to ROS: 19834\nRSU to MWA: 11716\nRSU to BDL: 11834\nRSU to CMH: 11523\nRSU to YVZ: 11062\nRSU to ZSJ: 11109\nMWA to PSA: 8077\nMWA to ROS: 8828\nMWA to BDL: 1702\nMWA to CMH: 819\nMWA to YVZ: 1970\nMWA to ZSJ: 2017\nROS to PSA: 11235\nROS to BDL: 8902\nROS to CMH: 8594\nROS to YVZ: 10457\nROS to ZSJ: 10504\nPSA to BDL: 6759\nPSA to CMH: 7355\nPSA to YVZ: 8376\nPSA to ZSJ: 8387\nBDL to CMH: 966\nBDL to YVZ: 2109\nBDL to ZSJ: 2120\nCMH to YVZ: 2001\nCMH to ZSJ: 2012\nYVZ to ZSJ: 66\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YZR, OWB, LST, TIH, FLA, CAW, ANF, ANR, TNK\n- Travel distances (in kilometers) between each pair of airports:\nYZR to TNK: 6186\nYZR to ANF: 7862\nYZR to OWB: 1580\nYZR to FLA: 4976\nYZR to CAW: 8839\nYZR to ANR: 6274\nYZR to LST: 16695\nYZR to TIH: 10641\nOWB to TNK: 5891\nOWB to ANF: 7152\nOWB to FLA: 4296\nOWB to CAW: 8423\nOWB to ANR: 7396\nOWB to LST: 15830\nOWB to TIH: 9776\nLST to TNK: 14384\nLST to ANF: 13358\nLST to FLA: 16882\nLST to CAW: 15441\nLST to ANR: 17656\nLST to TIH: 7348\nTIH to TNK: 10025\nTIH to ANF: 9414\nTIH to FLA: 12899\nTIH to CAW: 11497\nTIH to ANR: 16212\nFLA to TNK: 10035\nFLA to ANF: 3646\nFLA to CAW: 5291\nFLA to ANR: 9609\nCAW to TNK: 14190\nCAW to ANF: 3555\nCAW to ANR: 9451\nANF to TNK: 12591\nANF to ANR: 11611\nANR to TNK: 11185\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62864,
"style": "rule"
}
|
{
"exact_answer": 62864,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YZR\", \"id\": 0}, {\"name\": \"OWB\", \"id\": 1}, {\"name\": \"LST\", \"id\": 2}, {\"name\": \"TIH\", \"id\": 3}, {\"name\": \"FLA\", \"id\": 4}, {\"name\": \"CAW\", \"id\": 5}, {\"name\": \"ANF\", \"id\": 6}, {\"name\": \"ANR\", \"id\": 7}, {\"name\": \"TNK\", \"id\": 8}], \"links\": [{\"weight\": 6186, \"source\": 0, \"target\": 8}, {\"weight\": 7862, \"source\": 0, \"target\": 6}, {\"weight\": 1580, \"source\": 0, \"target\": 1}, {\"weight\": 4976, \"source\": 0, \"target\": 4}, {\"weight\": 8839, \"source\": 0, \"target\": 5}, {\"weight\": 6274, \"source\": 0, \"target\": 7}, {\"weight\": 16695, \"source\": 0, \"target\": 2}, {\"weight\": 10641, \"source\": 0, \"target\": 3}, {\"weight\": 5891, \"source\": 1, \"target\": 8}, {\"weight\": 7152, \"source\": 1, \"target\": 6}, {\"weight\": 4296, \"source\": 1, \"target\": 4}, {\"weight\": 8423, \"source\": 1, \"target\": 5}, {\"weight\": 7396, \"source\": 1, \"target\": 7}, {\"weight\": 15830, \"source\": 1, \"target\": 2}, {\"weight\": 9776, \"source\": 1, \"target\": 3}, {\"weight\": 14384, \"source\": 2, \"target\": 8}, {\"weight\": 13358, \"source\": 2, \"target\": 6}, {\"weight\": 16882, \"source\": 2, \"target\": 4}, {\"weight\": 15441, \"source\": 2, \"target\": 5}, {\"weight\": 17656, \"source\": 2, \"target\": 7}, {\"weight\": 7348, \"source\": 2, \"target\": 3}, {\"weight\": 10025, \"source\": 3, \"target\": 8}, {\"weight\": 9414, \"source\": 3, \"target\": 6}, {\"weight\": 12899, \"source\": 3, \"target\": 4}, {\"weight\": 11497, \"source\": 3, \"target\": 5}, {\"weight\": 16212, \"source\": 3, \"target\": 7}, {\"weight\": 10035, \"source\": 4, \"target\": 8}, {\"weight\": 3646, \"source\": 4, \"target\": 6}, {\"weight\": 5291, \"source\": 4, \"target\": 5}, {\"weight\": 9609, \"source\": 4, \"target\": 7}, {\"weight\": 14190, \"source\": 5, \"target\": 8}, {\"weight\": 3555, \"source\": 5, \"target\": 6}, {\"weight\": 9451, \"source\": 5, \"target\": 7}, {\"weight\": 12591, \"source\": 6, \"target\": 8}, {\"weight\": 11611, \"source\": 6, \"target\": 7}, {\"weight\": 11185, \"source\": 7, \"target\": 8}]}",
"id": 215,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YZR, OWB, LST, TIH, FLA, CAW, ANF, ANR, TNK\n- Travel distances (in kilometers) between each pair of airports:\nYZR to TNK: 6186\nYZR to ANF: 7862\nYZR to OWB: 1580\nYZR to FLA: 4976\nYZR to CAW: 8839\nYZR to ANR: 6274\nYZR to LST: 16695\nYZR to TIH: 10641\nOWB to TNK: 5891\nOWB to ANF: 7152\nOWB to FLA: 4296\nOWB to CAW: 8423\nOWB to ANR: 7396\nOWB to LST: 15830\nOWB to TIH: 9776\nLST to TNK: 14384\nLST to ANF: 13358\nLST to FLA: 16882\nLST to CAW: 15441\nLST to ANR: 17656\nLST to TIH: 7348\nTIH to TNK: 10025\nTIH to ANF: 9414\nTIH to FLA: 12899\nTIH to CAW: 11497\nTIH to ANR: 16212\nFLA to TNK: 10035\nFLA to ANF: 3646\nFLA to CAW: 5291\nFLA to ANR: 9609\nCAW to TNK: 14190\nCAW to ANF: 3555\nCAW to ANR: 9451\nANF to TNK: 12591\nANF to ANR: 11611\nANR to TNK: 11185\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LIT, DBO, SAX, KCZ, CDV, KCT, DSA, BUS, ARN\n- Travel distances (in kilometers) between each pair of airports:\nLIT to ARN: 7744\nLIT to CDV: 5001\nLIT to SAX: 3814\nLIT to BUS: 10325\nLIT to DSA: 7763\nLIT to KCZ: 11187\nLIT to DBO: 14606\nLIT to KCT: 15446\nDBO to ARN: 15909\nDBO to CDV: 13209\nDBO to SAX: 17386\nDBO to BUS: 14171\nDBO to DSA: 17323\nDBO to KCZ: 8815\nDBO to KCT: 9285\nSAX to ARN: 10507\nSAX to CDV: 8343\nSAX to BUS: 12976\nSAX to DSA: 10304\nSAX to KCZ: 14495\nSAX to KCT: 18281\nKCZ to ARN: 8611\nKCZ to CDV: 10432\nKCZ to BUS: 8229\nKCZ to DSA: 10253\nKCZ to KCT: 6784\nCDV to ARN: 10072\nCDV to BUS: 12647\nCDV to DSA: 10472\nCDV to KCT: 16101\nKCT to ARN: 7986\nKCT to BUS: 5751\nKCT to DSA: 8954\nDSA to ARN: 2155\nDSA to BUS: 3479\nBUS to ARN: 2581\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58138,
"style": "rule"
}
|
{
"exact_answer": 58138,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LIT\", \"id\": 0}, {\"name\": \"DBO\", \"id\": 1}, {\"name\": \"SAX\", \"id\": 2}, {\"name\": \"KCZ\", \"id\": 3}, {\"name\": \"CDV\", \"id\": 4}, {\"name\": \"KCT\", \"id\": 5}, {\"name\": \"DSA\", \"id\": 6}, {\"name\": \"BUS\", \"id\": 7}, {\"name\": \"ARN\", \"id\": 8}], \"links\": [{\"weight\": 7744, \"source\": 0, \"target\": 8}, {\"weight\": 5001, \"source\": 0, \"target\": 4}, {\"weight\": 3814, \"source\": 0, \"target\": 2}, {\"weight\": 10325, \"source\": 0, \"target\": 7}, {\"weight\": 7763, \"source\": 0, \"target\": 6}, {\"weight\": 11187, \"source\": 0, \"target\": 3}, {\"weight\": 14606, \"source\": 0, \"target\": 1}, {\"weight\": 15446, \"source\": 0, \"target\": 5}, {\"weight\": 15909, \"source\": 1, \"target\": 8}, {\"weight\": 13209, \"source\": 1, \"target\": 4}, {\"weight\": 17386, \"source\": 1, \"target\": 2}, {\"weight\": 14171, \"source\": 1, \"target\": 7}, {\"weight\": 17323, \"source\": 1, \"target\": 6}, {\"weight\": 8815, \"source\": 1, \"target\": 3}, {\"weight\": 9285, \"source\": 1, \"target\": 5}, {\"weight\": 10507, \"source\": 2, \"target\": 8}, {\"weight\": 8343, \"source\": 2, \"target\": 4}, {\"weight\": 12976, \"source\": 2, \"target\": 7}, {\"weight\": 10304, \"source\": 2, \"target\": 6}, {\"weight\": 14495, \"source\": 2, \"target\": 3}, {\"weight\": 18281, \"source\": 2, \"target\": 5}, {\"weight\": 8611, \"source\": 3, \"target\": 8}, {\"weight\": 10432, \"source\": 3, \"target\": 4}, {\"weight\": 8229, \"source\": 3, \"target\": 7}, {\"weight\": 10253, \"source\": 3, \"target\": 6}, {\"weight\": 6784, \"source\": 3, \"target\": 5}, {\"weight\": 10072, \"source\": 4, \"target\": 8}, {\"weight\": 12647, \"source\": 4, \"target\": 7}, {\"weight\": 10472, \"source\": 4, \"target\": 6}, {\"weight\": 16101, \"source\": 4, \"target\": 5}, {\"weight\": 7986, \"source\": 5, \"target\": 8}, {\"weight\": 5751, \"source\": 5, \"target\": 7}, {\"weight\": 8954, \"source\": 5, \"target\": 6}, {\"weight\": 2155, \"source\": 6, \"target\": 8}, {\"weight\": 3479, \"source\": 6, \"target\": 7}, {\"weight\": 2581, \"source\": 7, \"target\": 8}]}",
"id": 216,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LIT, DBO, SAX, KCZ, CDV, KCT, DSA, BUS, ARN\n- Travel distances (in kilometers) between each pair of airports:\nLIT to ARN: 7744\nLIT to CDV: 5001\nLIT to SAX: 3814\nLIT to BUS: 10325\nLIT to DSA: 7763\nLIT to KCZ: 11187\nLIT to DBO: 14606\nLIT to KCT: 15446\nDBO to ARN: 15909\nDBO to CDV: 13209\nDBO to SAX: 17386\nDBO to BUS: 14171\nDBO to DSA: 17323\nDBO to KCZ: 8815\nDBO to KCT: 9285\nSAX to ARN: 10507\nSAX to CDV: 8343\nSAX to BUS: 12976\nSAX to DSA: 10304\nSAX to KCZ: 14495\nSAX to KCT: 18281\nKCZ to ARN: 8611\nKCZ to CDV: 10432\nKCZ to BUS: 8229\nKCZ to DSA: 10253\nKCZ to KCT: 6784\nCDV to ARN: 10072\nCDV to BUS: 12647\nCDV to DSA: 10472\nCDV to KCT: 16101\nKCT to ARN: 7986\nKCT to BUS: 5751\nKCT to DSA: 8954\nDSA to ARN: 2155\nDSA to BUS: 3479\nBUS to ARN: 2581\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACU, ZRJ, BSB, CEE, GFN, POM, RNB, BAQ, LCH\n- Travel distances (in kilometers) between each pair of airports:\nACU to BSB: 5670\nACU to LCH: 3402\nACU to BAQ: 1776\nACU to POM: 17356\nACU to CEE: 11583\nACU to RNB: 10901\nACU to ZRJ: 5961\nACU to GFN: 17565\nZRJ to BSB: 9050\nZRJ to LCH: 3187\nZRJ to BAQ: 5241\nZRJ to POM: 14919\nZRJ to CEE: 8850\nZRJ to RNB: 8216\nZRJ to GFN: 15570\nBSB to LCH: 7497\nBSB to BAQ: 4980\nBSB to POM: 17503\nBSB to CEE: 11297\nBSB to RNB: 10650\nBSB to GFN: 15307\nCEE to LCH: 9617\nCEE to BAQ: 10840\nCEE to POM: 12600\nCEE to RNB: 1523\nCEE to GFN: 15431\nGFN to LCH: 14783\nGFN to BAQ: 16781\nGFN to POM: 3255\nGFN to RNB: 16487\nPOM to LCH: 14697\nPOM to BAQ: 17668\nPOM to RNB: 13656\nRNB to LCH: 8956\nRNB to BAQ: 10206\nBAQ to LCH: 3508\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54246,
"style": "rule"
}
|
{
"exact_answer": 54246,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACU\", \"id\": 0}, {\"name\": \"ZRJ\", \"id\": 1}, {\"name\": \"BSB\", \"id\": 2}, {\"name\": \"CEE\", \"id\": 3}, {\"name\": \"GFN\", \"id\": 4}, {\"name\": \"POM\", \"id\": 5}, {\"name\": \"RNB\", \"id\": 6}, {\"name\": \"BAQ\", \"id\": 7}, {\"name\": \"LCH\", \"id\": 8}], \"links\": [{\"weight\": 5670, \"source\": 0, \"target\": 2}, {\"weight\": 3402, \"source\": 0, \"target\": 8}, {\"weight\": 1776, \"source\": 0, \"target\": 7}, {\"weight\": 17356, \"source\": 0, \"target\": 5}, {\"weight\": 11583, \"source\": 0, \"target\": 3}, {\"weight\": 10901, \"source\": 0, \"target\": 6}, {\"weight\": 5961, \"source\": 0, \"target\": 1}, {\"weight\": 17565, \"source\": 0, \"target\": 4}, {\"weight\": 9050, \"source\": 1, \"target\": 2}, {\"weight\": 3187, \"source\": 1, \"target\": 8}, {\"weight\": 5241, \"source\": 1, \"target\": 7}, {\"weight\": 14919, \"source\": 1, \"target\": 5}, {\"weight\": 8850, \"source\": 1, \"target\": 3}, {\"weight\": 8216, \"source\": 1, \"target\": 6}, {\"weight\": 15570, \"source\": 1, \"target\": 4}, {\"weight\": 7497, \"source\": 2, \"target\": 8}, {\"weight\": 4980, \"source\": 2, \"target\": 7}, {\"weight\": 17503, \"source\": 2, \"target\": 5}, {\"weight\": 11297, \"source\": 2, \"target\": 3}, {\"weight\": 10650, \"source\": 2, \"target\": 6}, {\"weight\": 15307, \"source\": 2, \"target\": 4}, {\"weight\": 9617, \"source\": 3, \"target\": 8}, {\"weight\": 10840, \"source\": 3, \"target\": 7}, {\"weight\": 12600, \"source\": 3, \"target\": 5}, {\"weight\": 1523, \"source\": 3, \"target\": 6}, {\"weight\": 15431, \"source\": 3, \"target\": 4}, {\"weight\": 14783, \"source\": 4, \"target\": 8}, {\"weight\": 16781, \"source\": 4, \"target\": 7}, {\"weight\": 3255, \"source\": 4, \"target\": 5}, {\"weight\": 16487, \"source\": 4, \"target\": 6}, {\"weight\": 14697, \"source\": 5, \"target\": 8}, {\"weight\": 17668, \"source\": 5, \"target\": 7}, {\"weight\": 13656, \"source\": 5, \"target\": 6}, {\"weight\": 8956, \"source\": 6, \"target\": 8}, {\"weight\": 10206, \"source\": 6, \"target\": 7}, {\"weight\": 3508, \"source\": 7, \"target\": 8}]}",
"id": 217,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACU, ZRJ, BSB, CEE, GFN, POM, RNB, BAQ, LCH\n- Travel distances (in kilometers) between each pair of airports:\nACU to BSB: 5670\nACU to LCH: 3402\nACU to BAQ: 1776\nACU to POM: 17356\nACU to CEE: 11583\nACU to RNB: 10901\nACU to ZRJ: 5961\nACU to GFN: 17565\nZRJ to BSB: 9050\nZRJ to LCH: 3187\nZRJ to BAQ: 5241\nZRJ to POM: 14919\nZRJ to CEE: 8850\nZRJ to RNB: 8216\nZRJ to GFN: 15570\nBSB to LCH: 7497\nBSB to BAQ: 4980\nBSB to POM: 17503\nBSB to CEE: 11297\nBSB to RNB: 10650\nBSB to GFN: 15307\nCEE to LCH: 9617\nCEE to BAQ: 10840\nCEE to POM: 12600\nCEE to RNB: 1523\nCEE to GFN: 15431\nGFN to LCH: 14783\nGFN to BAQ: 16781\nGFN to POM: 3255\nGFN to RNB: 16487\nPOM to LCH: 14697\nPOM to BAQ: 17668\nPOM to RNB: 13656\nRNB to LCH: 8956\nRNB to BAQ: 10206\nBAQ to LCH: 3508\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUC, VLD, YUB, YKU, GAE, MRD, APO, MKK, CHS\n- Travel distances (in kilometers) between each pair of airports:\nBUC to YUB: 16943\nBUC to APO: 18577\nBUC to MRD: 19318\nBUC to CHS: 16909\nBUC to VLD: 16833\nBUC to MKK: 9599\nBUC to GAE: 15626\nBUC to YKU: 17475\nVLD to YUB: 5806\nVLD to APO: 4091\nVLD to MRD: 3961\nVLD to CHS: 751\nVLD to MKK: 7529\nVLD to GAE: 8887\nVLD to YKU: 2781\nYUB to APO: 9045\nYUB to MRD: 8806\nYUB to CHS: 5771\nYUB to MKK: 7453\nYUB to GAE: 11238\nYUB to YKU: 5018\nYKU to APO: 6023\nYKU to MRD: 5503\nYKU to CHS: 2472\nYKU to MKK: 7985\nYKU to GAE: 8164\nGAE to APO: 9991\nGAE to MRD: 9050\nGAE to CHS: 8363\nGAE to MKK: 14114\nMRD to APO: 1959\nMRD to CHS: 3492\nMRD to MKK: 10398\nAPO to CHS: 3628\nAPO to MKK: 9875\nMKK to CHS: 7610\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55865,
"style": "rule"
}
|
{
"exact_answer": 55865,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUC\", \"id\": 0}, {\"name\": \"VLD\", \"id\": 1}, {\"name\": \"YUB\", \"id\": 2}, {\"name\": \"YKU\", \"id\": 3}, {\"name\": \"GAE\", \"id\": 4}, {\"name\": \"MRD\", \"id\": 5}, {\"name\": \"APO\", \"id\": 6}, {\"name\": \"MKK\", \"id\": 7}, {\"name\": \"CHS\", \"id\": 8}], \"links\": [{\"weight\": 16943, \"source\": 0, \"target\": 2}, {\"weight\": 18577, \"source\": 0, \"target\": 6}, {\"weight\": 19318, \"source\": 0, \"target\": 5}, {\"weight\": 16909, \"source\": 0, \"target\": 8}, {\"weight\": 16833, \"source\": 0, \"target\": 1}, {\"weight\": 9599, \"source\": 0, \"target\": 7}, {\"weight\": 15626, \"source\": 0, \"target\": 4}, {\"weight\": 17475, \"source\": 0, \"target\": 3}, {\"weight\": 5806, \"source\": 1, \"target\": 2}, {\"weight\": 4091, \"source\": 1, \"target\": 6}, {\"weight\": 3961, \"source\": 1, \"target\": 5}, {\"weight\": 751, \"source\": 1, \"target\": 8}, {\"weight\": 7529, \"source\": 1, \"target\": 7}, {\"weight\": 8887, \"source\": 1, \"target\": 4}, {\"weight\": 2781, \"source\": 1, \"target\": 3}, {\"weight\": 9045, \"source\": 2, \"target\": 6}, {\"weight\": 8806, \"source\": 2, \"target\": 5}, {\"weight\": 5771, \"source\": 2, \"target\": 8}, {\"weight\": 7453, \"source\": 2, \"target\": 7}, {\"weight\": 11238, \"source\": 2, \"target\": 4}, {\"weight\": 5018, \"source\": 2, \"target\": 3}, {\"weight\": 6023, \"source\": 3, \"target\": 6}, {\"weight\": 5503, \"source\": 3, \"target\": 5}, {\"weight\": 2472, \"source\": 3, \"target\": 8}, {\"weight\": 7985, \"source\": 3, \"target\": 7}, {\"weight\": 8164, \"source\": 3, \"target\": 4}, {\"weight\": 9991, \"source\": 4, \"target\": 6}, {\"weight\": 9050, \"source\": 4, \"target\": 5}, {\"weight\": 8363, \"source\": 4, \"target\": 8}, {\"weight\": 14114, \"source\": 4, \"target\": 7}, {\"weight\": 1959, \"source\": 5, \"target\": 6}, {\"weight\": 3492, \"source\": 5, \"target\": 8}, {\"weight\": 10398, \"source\": 5, \"target\": 7}, {\"weight\": 3628, \"source\": 6, \"target\": 8}, {\"weight\": 9875, \"source\": 6, \"target\": 7}, {\"weight\": 7610, \"source\": 7, \"target\": 8}]}",
"id": 218,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUC, VLD, YUB, YKU, GAE, MRD, APO, MKK, CHS\n- Travel distances (in kilometers) between each pair of airports:\nBUC to YUB: 16943\nBUC to APO: 18577\nBUC to MRD: 19318\nBUC to CHS: 16909\nBUC to VLD: 16833\nBUC to MKK: 9599\nBUC to GAE: 15626\nBUC to YKU: 17475\nVLD to YUB: 5806\nVLD to APO: 4091\nVLD to MRD: 3961\nVLD to CHS: 751\nVLD to MKK: 7529\nVLD to GAE: 8887\nVLD to YKU: 2781\nYUB to APO: 9045\nYUB to MRD: 8806\nYUB to CHS: 5771\nYUB to MKK: 7453\nYUB to GAE: 11238\nYUB to YKU: 5018\nYKU to APO: 6023\nYKU to MRD: 5503\nYKU to CHS: 2472\nYKU to MKK: 7985\nYKU to GAE: 8164\nGAE to APO: 9991\nGAE to MRD: 9050\nGAE to CHS: 8363\nGAE to MKK: 14114\nMRD to APO: 1959\nMRD to CHS: 3492\nMRD to MKK: 10398\nAPO to CHS: 3628\nAPO to MKK: 9875\nMKK to CHS: 7610\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKS, ABJ, TLM, CPX, GFK, YIC, PYJ, YSG, NJF\n- Travel distances (in kilometers) between each pair of airports:\nRKS to ABJ: 10965\nRKS to PYJ: 13014\nRKS to YIC: 11412\nRKS to YSG: 2872\nRKS to GFK: 1964\nRKS to CPX: 4901\nRKS to TLM: 9739\nRKS to NJF: 11999\nABJ to PYJ: 10648\nABJ to YIC: 12639\nABJ to YSG: 11661\nABJ to GFK: 10046\nABJ to CPX: 9241\nABJ to TLM: 4030\nABJ to NJF: 5966\nTLM to PYJ: 7694\nTLM to YIC: 10938\nTLM to YSG: 9943\nTLM to GFK: 8715\nTLM to CPX: 8089\nTLM to NJF: 4249\nCPX to PYJ: 13407\nCPX to YIC: 15022\nCPX to YSG: 6502\nCPX to GFK: 4415\nCPX to NJF: 11013\nGFK to PYJ: 13015\nGFK to YIC: 12632\nGFK to YSG: 3411\nGFK to NJF: 11060\nYIC to PYJ: 4740\nYIC to YSG: 11893\nYIC to NJF: 7049\nPYJ to YSG: 13402\nPYJ to NJF: 6192\nYSG to NJF: 11989\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49596,
"style": "rule"
}
|
{
"exact_answer": 49596,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RKS\", \"id\": 0}, {\"name\": \"ABJ\", \"id\": 1}, {\"name\": \"TLM\", \"id\": 2}, {\"name\": \"CPX\", \"id\": 3}, {\"name\": \"GFK\", \"id\": 4}, {\"name\": \"YIC\", \"id\": 5}, {\"name\": \"PYJ\", \"id\": 6}, {\"name\": \"YSG\", \"id\": 7}, {\"name\": \"NJF\", \"id\": 8}], \"links\": [{\"weight\": 10965, \"source\": 0, \"target\": 1}, {\"weight\": 13014, \"source\": 0, \"target\": 6}, {\"weight\": 11412, \"source\": 0, \"target\": 5}, {\"weight\": 2872, \"source\": 0, \"target\": 7}, {\"weight\": 1964, \"source\": 0, \"target\": 4}, {\"weight\": 4901, \"source\": 0, \"target\": 3}, {\"weight\": 9739, \"source\": 0, \"target\": 2}, {\"weight\": 11999, \"source\": 0, \"target\": 8}, {\"weight\": 10648, \"source\": 1, \"target\": 6}, {\"weight\": 12639, \"source\": 1, \"target\": 5}, {\"weight\": 11661, \"source\": 1, \"target\": 7}, {\"weight\": 10046, \"source\": 1, \"target\": 4}, {\"weight\": 9241, \"source\": 1, \"target\": 3}, {\"weight\": 4030, \"source\": 1, \"target\": 2}, {\"weight\": 5966, \"source\": 1, \"target\": 8}, {\"weight\": 7694, \"source\": 2, \"target\": 6}, {\"weight\": 10938, \"source\": 2, \"target\": 5}, {\"weight\": 9943, \"source\": 2, \"target\": 7}, {\"weight\": 8715, \"source\": 2, \"target\": 4}, {\"weight\": 8089, \"source\": 2, \"target\": 3}, {\"weight\": 4249, \"source\": 2, \"target\": 8}, {\"weight\": 13407, \"source\": 3, \"target\": 6}, {\"weight\": 15022, \"source\": 3, \"target\": 5}, {\"weight\": 6502, \"source\": 3, \"target\": 7}, {\"weight\": 4415, \"source\": 3, \"target\": 4}, {\"weight\": 11013, \"source\": 3, \"target\": 8}, {\"weight\": 13015, \"source\": 4, \"target\": 6}, {\"weight\": 12632, \"source\": 4, \"target\": 5}, {\"weight\": 3411, \"source\": 4, \"target\": 7}, {\"weight\": 11060, \"source\": 4, \"target\": 8}, {\"weight\": 4740, \"source\": 5, \"target\": 6}, {\"weight\": 11893, \"source\": 5, \"target\": 7}, {\"weight\": 7049, \"source\": 5, \"target\": 8}, {\"weight\": 13402, \"source\": 6, \"target\": 7}, {\"weight\": 6192, \"source\": 6, \"target\": 8}, {\"weight\": 11989, \"source\": 7, \"target\": 8}]}",
"id": 219,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKS, ABJ, TLM, CPX, GFK, YIC, PYJ, YSG, NJF\n- Travel distances (in kilometers) between each pair of airports:\nRKS to ABJ: 10965\nRKS to PYJ: 13014\nRKS to YIC: 11412\nRKS to YSG: 2872\nRKS to GFK: 1964\nRKS to CPX: 4901\nRKS to TLM: 9739\nRKS to NJF: 11999\nABJ to PYJ: 10648\nABJ to YIC: 12639\nABJ to YSG: 11661\nABJ to GFK: 10046\nABJ to CPX: 9241\nABJ to TLM: 4030\nABJ to NJF: 5966\nTLM to PYJ: 7694\nTLM to YIC: 10938\nTLM to YSG: 9943\nTLM to GFK: 8715\nTLM to CPX: 8089\nTLM to NJF: 4249\nCPX to PYJ: 13407\nCPX to YIC: 15022\nCPX to YSG: 6502\nCPX to GFK: 4415\nCPX to NJF: 11013\nGFK to PYJ: 13015\nGFK to YIC: 12632\nGFK to YSG: 3411\nGFK to NJF: 11060\nYIC to PYJ: 4740\nYIC to YSG: 11893\nYIC to NJF: 7049\nPYJ to YSG: 13402\nPYJ to NJF: 6192\nYSG to NJF: 11989\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRA, RSD, BNI, ZIH, PHS, SSA, GSM, PGF, SZB\n- Travel distances (in kilometers) between each pair of airports:\nMRA to SSA: 8607\nMRA to ZIH: 11321\nMRA to PGF: 2776\nMRA to GSM: 4047\nMRA to PHS: 8880\nMRA to SZB: 9567\nMRA to RSD: 9462\nMRA to BNI: 4785\nRSD to SSA: 6610\nRSD to ZIH: 2775\nRSD to PGF: 8139\nRSD to GSM: 12558\nRSD to PHS: 15929\nRSD to SZB: 17274\nRSD to BNI: 10596\nBNI to SSA: 7019\nBNI to ZIH: 12116\nBNI to PGF: 5447\nBNI to GSM: 5920\nBNI to PHS: 10692\nBNI to SZB: 11293\nZIH to SSA: 8256\nZIH to PGF: 10153\nZIH to GSM: 14676\nZIH to PHS: 15679\nZIH to SZB: 16814\nPHS to SSA: 16953\nPHS to PGF: 10246\nPHS to GSM: 5191\nPHS to SZB: 1558\nSSA to PGF: 8215\nSSA to GSM: 12110\nSSA to SZB: 17522\nGSM to PGF: 5849\nGSM to SZB: 5760\nPGF to SZB: 11237\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51022,
"style": "rule"
}
|
{
"exact_answer": 51022,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MRA\", \"id\": 0}, {\"name\": \"RSD\", \"id\": 1}, {\"name\": \"BNI\", \"id\": 2}, {\"name\": \"ZIH\", \"id\": 3}, {\"name\": \"PHS\", \"id\": 4}, {\"name\": \"SSA\", \"id\": 5}, {\"name\": \"GSM\", \"id\": 6}, {\"name\": \"PGF\", \"id\": 7}, {\"name\": \"SZB\", \"id\": 8}], \"links\": [{\"weight\": 8607, \"source\": 0, \"target\": 5}, {\"weight\": 11321, \"source\": 0, \"target\": 3}, {\"weight\": 2776, \"source\": 0, \"target\": 7}, {\"weight\": 4047, \"source\": 0, \"target\": 6}, {\"weight\": 8880, \"source\": 0, \"target\": 4}, {\"weight\": 9567, \"source\": 0, \"target\": 8}, {\"weight\": 9462, \"source\": 0, \"target\": 1}, {\"weight\": 4785, \"source\": 0, \"target\": 2}, {\"weight\": 6610, \"source\": 1, \"target\": 5}, {\"weight\": 2775, \"source\": 1, \"target\": 3}, {\"weight\": 8139, \"source\": 1, \"target\": 7}, {\"weight\": 12558, \"source\": 1, \"target\": 6}, {\"weight\": 15929, \"source\": 1, \"target\": 4}, {\"weight\": 17274, \"source\": 1, \"target\": 8}, {\"weight\": 10596, \"source\": 1, \"target\": 2}, {\"weight\": 7019, \"source\": 2, \"target\": 5}, {\"weight\": 12116, \"source\": 2, \"target\": 3}, {\"weight\": 5447, \"source\": 2, \"target\": 7}, {\"weight\": 5920, \"source\": 2, \"target\": 6}, {\"weight\": 10692, \"source\": 2, \"target\": 4}, {\"weight\": 11293, \"source\": 2, \"target\": 8}, {\"weight\": 8256, \"source\": 3, \"target\": 5}, {\"weight\": 10153, \"source\": 3, \"target\": 7}, {\"weight\": 14676, \"source\": 3, \"target\": 6}, {\"weight\": 15679, \"source\": 3, \"target\": 4}, {\"weight\": 16814, \"source\": 3, \"target\": 8}, {\"weight\": 16953, \"source\": 4, \"target\": 5}, {\"weight\": 10246, \"source\": 4, \"target\": 7}, {\"weight\": 5191, \"source\": 4, \"target\": 6}, {\"weight\": 1558, \"source\": 4, \"target\": 8}, {\"weight\": 8215, \"source\": 5, \"target\": 7}, {\"weight\": 12110, \"source\": 5, \"target\": 6}, {\"weight\": 17522, \"source\": 5, \"target\": 8}, {\"weight\": 5849, \"source\": 6, \"target\": 7}, {\"weight\": 5760, \"source\": 6, \"target\": 8}, {\"weight\": 11237, \"source\": 7, \"target\": 8}]}",
"id": 220,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRA, RSD, BNI, ZIH, PHS, SSA, GSM, PGF, SZB\n- Travel distances (in kilometers) between each pair of airports:\nMRA to SSA: 8607\nMRA to ZIH: 11321\nMRA to PGF: 2776\nMRA to GSM: 4047\nMRA to PHS: 8880\nMRA to SZB: 9567\nMRA to RSD: 9462\nMRA to BNI: 4785\nRSD to SSA: 6610\nRSD to ZIH: 2775\nRSD to PGF: 8139\nRSD to GSM: 12558\nRSD to PHS: 15929\nRSD to SZB: 17274\nRSD to BNI: 10596\nBNI to SSA: 7019\nBNI to ZIH: 12116\nBNI to PGF: 5447\nBNI to GSM: 5920\nBNI to PHS: 10692\nBNI to SZB: 11293\nZIH to SSA: 8256\nZIH to PGF: 10153\nZIH to GSM: 14676\nZIH to PHS: 15679\nZIH to SZB: 16814\nPHS to SSA: 16953\nPHS to PGF: 10246\nPHS to GSM: 5191\nPHS to SZB: 1558\nSSA to PGF: 8215\nSSA to GSM: 12110\nSSA to SZB: 17522\nGSM to PGF: 5849\nGSM to SZB: 5760\nPGF to SZB: 11237\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYK, OER, LKH, PAV, GFK, GPB, SDR, BEU, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nEYK to OER: 3576\nEYK to GFK: 10891\nEYK to PAV: 12580\nEYK to SDR: 5102\nEYK to LKH: 8562\nEYK to GPB: 14211\nEYK to BEU: 12340\nEYK to BJZ: 5588\nOER to GFK: 8268\nOER to PAV: 10305\nOER to SDR: 2809\nOER to LKH: 10886\nOER to GPB: 11930\nOER to BEU: 14672\nOER to BJZ: 3351\nLKH to GFK: 14570\nLKH to PAV: 19236\nLKH to SDR: 12307\nLKH to GPB: 17990\nLKH to BEU: 5508\nLKH to BJZ: 12685\nPAV to GFK: 9518\nPAV to SDR: 7650\nPAV to GPB: 2430\nPAV to BEU: 17928\nPAV to BJZ: 7650\nGFK to SDR: 7929\nGFK to GPB: 9721\nGFK to BEU: 15492\nGFK to BJZ: 7954\nGPB to SDR: 9251\nGPB to BEU: 16264\nGPB to BJZ: 9301\nSDR to BEU: 16423\nSDR to BJZ: 658\nBEU to BJZ: 16753\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56406,
"style": "rule"
}
|
{
"exact_answer": 56406,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EYK\", \"id\": 0}, {\"name\": \"OER\", \"id\": 1}, {\"name\": \"LKH\", \"id\": 2}, {\"name\": \"PAV\", \"id\": 3}, {\"name\": \"GFK\", \"id\": 4}, {\"name\": \"GPB\", \"id\": 5}, {\"name\": \"SDR\", \"id\": 6}, {\"name\": \"BEU\", \"id\": 7}, {\"name\": \"BJZ\", \"id\": 8}], \"links\": [{\"weight\": 3576, \"source\": 0, \"target\": 1}, {\"weight\": 10891, \"source\": 0, \"target\": 4}, {\"weight\": 12580, \"source\": 0, \"target\": 3}, {\"weight\": 5102, \"source\": 0, \"target\": 6}, {\"weight\": 8562, \"source\": 0, \"target\": 2}, {\"weight\": 14211, \"source\": 0, \"target\": 5}, {\"weight\": 12340, \"source\": 0, \"target\": 7}, {\"weight\": 5588, \"source\": 0, \"target\": 8}, {\"weight\": 8268, \"source\": 1, \"target\": 4}, {\"weight\": 10305, \"source\": 1, \"target\": 3}, {\"weight\": 2809, \"source\": 1, \"target\": 6}, {\"weight\": 10886, \"source\": 1, \"target\": 2}, {\"weight\": 11930, \"source\": 1, \"target\": 5}, {\"weight\": 14672, \"source\": 1, \"target\": 7}, {\"weight\": 3351, \"source\": 1, \"target\": 8}, {\"weight\": 14570, \"source\": 2, \"target\": 4}, {\"weight\": 19236, \"source\": 2, \"target\": 3}, {\"weight\": 12307, \"source\": 2, \"target\": 6}, {\"weight\": 17990, \"source\": 2, \"target\": 5}, {\"weight\": 5508, \"source\": 2, \"target\": 7}, {\"weight\": 12685, \"source\": 2, \"target\": 8}, {\"weight\": 9518, \"source\": 3, \"target\": 4}, {\"weight\": 7650, \"source\": 3, \"target\": 6}, {\"weight\": 2430, \"source\": 3, \"target\": 5}, {\"weight\": 17928, \"source\": 3, \"target\": 7}, {\"weight\": 7650, \"source\": 3, \"target\": 8}, {\"weight\": 7929, \"source\": 4, \"target\": 6}, {\"weight\": 9721, \"source\": 4, \"target\": 5}, {\"weight\": 15492, \"source\": 4, \"target\": 7}, {\"weight\": 7954, \"source\": 4, \"target\": 8}, {\"weight\": 9251, \"source\": 5, \"target\": 6}, {\"weight\": 16264, \"source\": 5, \"target\": 7}, {\"weight\": 9301, \"source\": 5, \"target\": 8}, {\"weight\": 16423, \"source\": 6, \"target\": 7}, {\"weight\": 658, \"source\": 6, \"target\": 8}, {\"weight\": 16753, \"source\": 7, \"target\": 8}]}",
"id": 221,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYK, OER, LKH, PAV, GFK, GPB, SDR, BEU, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nEYK to OER: 3576\nEYK to GFK: 10891\nEYK to PAV: 12580\nEYK to SDR: 5102\nEYK to LKH: 8562\nEYK to GPB: 14211\nEYK to BEU: 12340\nEYK to BJZ: 5588\nOER to GFK: 8268\nOER to PAV: 10305\nOER to SDR: 2809\nOER to LKH: 10886\nOER to GPB: 11930\nOER to BEU: 14672\nOER to BJZ: 3351\nLKH to GFK: 14570\nLKH to PAV: 19236\nLKH to SDR: 12307\nLKH to GPB: 17990\nLKH to BEU: 5508\nLKH to BJZ: 12685\nPAV to GFK: 9518\nPAV to SDR: 7650\nPAV to GPB: 2430\nPAV to BEU: 17928\nPAV to BJZ: 7650\nGFK to SDR: 7929\nGFK to GPB: 9721\nGFK to BEU: 15492\nGFK to BJZ: 7954\nGPB to SDR: 9251\nGPB to BEU: 16264\nGPB to BJZ: 9301\nSDR to BEU: 16423\nSDR to BJZ: 658\nBEU to BJZ: 16753\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OAG, NVA, SRY, HRM, WLS, CSY, CAH, JDZ, IPC\n- Travel distances (in kilometers) between each pair of airports:\nOAG to CSY: 15295\nOAG to HRM: 17724\nOAG to NVA: 16021\nOAG to SRY: 13079\nOAG to JDZ: 8117\nOAG to IPC: 10575\nOAG to WLS: 4214\nOAG to CAH: 7287\nNVA to CSY: 11682\nNVA to HRM: 9285\nNVA to SRY: 14003\nNVA to JDZ: 16351\nNVA to IPC: 8234\nNVA to WLS: 15570\nNVA to CAH: 18796\nSRY to CSY: 4404\nSRY to HRM: 5598\nSRY to JDZ: 6173\nSRY to IPC: 19070\nSRY to WLS: 15256\nSRY to CAH: 6331\nHRM to CSY: 4353\nHRM to JDZ: 10469\nHRM to IPC: 15370\nHRM to WLS: 19311\nHRM to CAH: 11141\nWLS to CSY: 16257\nWLS to JDZ: 9860\nWLS to IPC: 10981\nWLS to CAH: 10016\nCSY to JDZ: 7574\nCSY to IPC: 18499\nCSY to CAH: 8522\nCAH to JDZ: 2573\nCAH to IPC: 17464\nJDZ to IPC: 16294\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57504,
"style": "rule"
}
|
{
"exact_answer": 57504,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OAG\", \"id\": 0}, {\"name\": \"NVA\", \"id\": 1}, {\"name\": \"SRY\", \"id\": 2}, {\"name\": \"HRM\", \"id\": 3}, {\"name\": \"WLS\", \"id\": 4}, {\"name\": \"CSY\", \"id\": 5}, {\"name\": \"CAH\", \"id\": 6}, {\"name\": \"JDZ\", \"id\": 7}, {\"name\": \"IPC\", \"id\": 8}], \"links\": [{\"weight\": 15295, \"source\": 0, \"target\": 5}, {\"weight\": 17724, \"source\": 0, \"target\": 3}, {\"weight\": 16021, \"source\": 0, \"target\": 1}, {\"weight\": 13079, \"source\": 0, \"target\": 2}, {\"weight\": 8117, \"source\": 0, \"target\": 7}, {\"weight\": 10575, \"source\": 0, \"target\": 8}, {\"weight\": 4214, \"source\": 0, \"target\": 4}, {\"weight\": 7287, \"source\": 0, \"target\": 6}, {\"weight\": 11682, \"source\": 1, \"target\": 5}, {\"weight\": 9285, \"source\": 1, \"target\": 3}, {\"weight\": 14003, \"source\": 1, \"target\": 2}, {\"weight\": 16351, \"source\": 1, \"target\": 7}, {\"weight\": 8234, \"source\": 1, \"target\": 8}, {\"weight\": 15570, \"source\": 1, \"target\": 4}, {\"weight\": 18796, \"source\": 1, \"target\": 6}, {\"weight\": 4404, \"source\": 2, \"target\": 5}, {\"weight\": 5598, \"source\": 2, \"target\": 3}, {\"weight\": 6173, \"source\": 2, \"target\": 7}, {\"weight\": 19070, \"source\": 2, \"target\": 8}, {\"weight\": 15256, \"source\": 2, \"target\": 4}, {\"weight\": 6331, \"source\": 2, \"target\": 6}, {\"weight\": 4353, \"source\": 3, \"target\": 5}, {\"weight\": 10469, \"source\": 3, \"target\": 7}, {\"weight\": 15370, \"source\": 3, \"target\": 8}, {\"weight\": 19311, \"source\": 3, \"target\": 4}, {\"weight\": 11141, \"source\": 3, \"target\": 6}, {\"weight\": 16257, \"source\": 4, \"target\": 5}, {\"weight\": 9860, \"source\": 4, \"target\": 7}, {\"weight\": 10981, \"source\": 4, \"target\": 8}, {\"weight\": 10016, \"source\": 4, \"target\": 6}, {\"weight\": 7574, \"source\": 5, \"target\": 7}, {\"weight\": 18499, \"source\": 5, \"target\": 8}, {\"weight\": 8522, \"source\": 5, \"target\": 6}, {\"weight\": 2573, \"source\": 6, \"target\": 7}, {\"weight\": 17464, \"source\": 6, \"target\": 8}, {\"weight\": 16294, \"source\": 7, \"target\": 8}]}",
"id": 222,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OAG, NVA, SRY, HRM, WLS, CSY, CAH, JDZ, IPC\n- Travel distances (in kilometers) between each pair of airports:\nOAG to CSY: 15295\nOAG to HRM: 17724\nOAG to NVA: 16021\nOAG to SRY: 13079\nOAG to JDZ: 8117\nOAG to IPC: 10575\nOAG to WLS: 4214\nOAG to CAH: 7287\nNVA to CSY: 11682\nNVA to HRM: 9285\nNVA to SRY: 14003\nNVA to JDZ: 16351\nNVA to IPC: 8234\nNVA to WLS: 15570\nNVA to CAH: 18796\nSRY to CSY: 4404\nSRY to HRM: 5598\nSRY to JDZ: 6173\nSRY to IPC: 19070\nSRY to WLS: 15256\nSRY to CAH: 6331\nHRM to CSY: 4353\nHRM to JDZ: 10469\nHRM to IPC: 15370\nHRM to WLS: 19311\nHRM to CAH: 11141\nWLS to CSY: 16257\nWLS to JDZ: 9860\nWLS to IPC: 10981\nWLS to CAH: 10016\nCSY to JDZ: 7574\nCSY to IPC: 18499\nCSY to CAH: 8522\nCAH to JDZ: 2573\nCAH to IPC: 17464\nJDZ to IPC: 16294\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AHO, NUI, YQM, JSR, NER, VLN, TLL, PVC\n- Travel distances (in kilometers) between each pair of airports:\nSTN to AHO: 1394\nSTN to TLL: 1741\nSTN to JSR: 8244\nSTN to NUI: 10850\nSTN to VLN: 8310\nSTN to PVC: 5344\nSTN to YQM: 5430\nSTN to NER: 7483\nAHO to JSR: 7819\nAHO to NUI: 12239\nAHO to VLN: 8536\nAHO to PVC: 6546\nAHO to YQM: 6177\nAHO to TLL: 2400\nAHO to NER: 7734\nNUI to JSR: 15347\nNUI to VLN: 9707\nNUI to PVC: 7017\nNUI to YQM: 7371\nNUI to TLL: 11459\nNUI to NER: 13448\nYQM to JSR: 12907\nYQM to VLN: 4163\nYQM to PVC: 900\nYQM to TLL: 6565\nYQM to NER: 12281\nJSR to VLN: 16007\nJSR to PVC: 13182\nJSR to TLL: 6770\nJSR to NER: 6415\nNER to VLN: 15216\nNER to PVC: 12167\nNER to TLL: 5786\nVLN to PVC: 3687\nVLN to TLL: 9432\nTLL to PVC: 6440\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50151,
"style": "rule"
}
|
{
"exact_answer": 50151,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"STN\", \"id\": 0}, {\"name\": \"AHO\", \"id\": 1}, {\"name\": \"NUI\", \"id\": 2}, {\"name\": \"YQM\", \"id\": 3}, {\"name\": \"JSR\", \"id\": 4}, {\"name\": \"NER\", \"id\": 5}, {\"name\": \"VLN\", \"id\": 6}, {\"name\": \"TLL\", \"id\": 7}, {\"name\": \"PVC\", \"id\": 8}], \"links\": [{\"weight\": 1394, \"source\": 0, \"target\": 1}, {\"weight\": 1741, \"source\": 0, \"target\": 7}, {\"weight\": 8244, \"source\": 0, \"target\": 4}, {\"weight\": 10850, \"source\": 0, \"target\": 2}, {\"weight\": 8310, \"source\": 0, \"target\": 6}, {\"weight\": 5344, \"source\": 0, \"target\": 8}, {\"weight\": 5430, \"source\": 0, \"target\": 3}, {\"weight\": 7483, \"source\": 0, \"target\": 5}, {\"weight\": 7819, \"source\": 1, \"target\": 4}, {\"weight\": 12239, \"source\": 1, \"target\": 2}, {\"weight\": 8536, \"source\": 1, \"target\": 6}, {\"weight\": 6546, \"source\": 1, \"target\": 8}, {\"weight\": 6177, \"source\": 1, \"target\": 3}, {\"weight\": 2400, \"source\": 1, \"target\": 7}, {\"weight\": 7734, \"source\": 1, \"target\": 5}, {\"weight\": 15347, \"source\": 2, \"target\": 4}, {\"weight\": 9707, \"source\": 2, \"target\": 6}, {\"weight\": 7017, \"source\": 2, \"target\": 8}, {\"weight\": 7371, \"source\": 2, \"target\": 3}, {\"weight\": 11459, \"source\": 2, \"target\": 7}, {\"weight\": 13448, \"source\": 2, \"target\": 5}, {\"weight\": 12907, \"source\": 3, \"target\": 4}, {\"weight\": 4163, \"source\": 3, \"target\": 6}, {\"weight\": 900, \"source\": 3, \"target\": 8}, {\"weight\": 6565, \"source\": 3, \"target\": 7}, {\"weight\": 12281, \"source\": 3, \"target\": 5}, {\"weight\": 16007, \"source\": 4, \"target\": 6}, {\"weight\": 13182, \"source\": 4, \"target\": 8}, {\"weight\": 6770, \"source\": 4, \"target\": 7}, {\"weight\": 6415, \"source\": 4, \"target\": 5}, {\"weight\": 15216, \"source\": 5, \"target\": 6}, {\"weight\": 12167, \"source\": 5, \"target\": 8}, {\"weight\": 5786, \"source\": 5, \"target\": 7}, {\"weight\": 3687, \"source\": 6, \"target\": 8}, {\"weight\": 9432, \"source\": 6, \"target\": 7}, {\"weight\": 6440, \"source\": 7, \"target\": 8}]}",
"id": 223,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AHO, NUI, YQM, JSR, NER, VLN, TLL, PVC\n- Travel distances (in kilometers) between each pair of airports:\nSTN to AHO: 1394\nSTN to TLL: 1741\nSTN to JSR: 8244\nSTN to NUI: 10850\nSTN to VLN: 8310\nSTN to PVC: 5344\nSTN to YQM: 5430\nSTN to NER: 7483\nAHO to JSR: 7819\nAHO to NUI: 12239\nAHO to VLN: 8536\nAHO to PVC: 6546\nAHO to YQM: 6177\nAHO to TLL: 2400\nAHO to NER: 7734\nNUI to JSR: 15347\nNUI to VLN: 9707\nNUI to PVC: 7017\nNUI to YQM: 7371\nNUI to TLL: 11459\nNUI to NER: 13448\nYQM to JSR: 12907\nYQM to VLN: 4163\nYQM to PVC: 900\nYQM to TLL: 6565\nYQM to NER: 12281\nJSR to VLN: 16007\nJSR to PVC: 13182\nJSR to TLL: 6770\nJSR to NER: 6415\nNER to VLN: 15216\nNER to PVC: 12167\nNER to TLL: 5786\nVLN to PVC: 3687\nVLN to TLL: 9432\nTLL to PVC: 6440\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XNA, DBV, ARU, SHR, CKD, ZEL, KVC, CIH, LAE\n- Travel distances (in kilometers) between each pair of airports:\nXNA to DBV: 8905\nXNA to CKD: 5445\nXNA to ZEL: 3270\nXNA to ARU: 8716\nXNA to CIH: 11793\nXNA to LAE: 14804\nXNA to KVC: 5878\nXNA to SHR: 1567\nDBV to CKD: 12228\nDBV to ZEL: 9649\nDBV to ARU: 10414\nDBV to CIH: 8350\nDBV to LAE: 14650\nDBV to KVC: 12661\nDBV to SHR: 9779\nARU to CKD: 13943\nARU to ZEL: 11920\nARU to CIH: 18137\nARU to LAE: 17451\nARU to KVC: 14376\nARU to SHR: 10217\nSHR to CKD: 5032\nSHR to ZEL: 2857\nSHR to CIH: 11380\nSHR to LAE: 14565\nSHR to KVC: 5465\nCKD to ZEL: 3612\nCKD to CIH: 12118\nCKD to LAE: 13884\nCKD to KVC: 1617\nZEL to CIH: 9505\nZEL to LAE: 13394\nZEL to KVC: 4045\nKVC to CIH: 12551\nKVC to LAE: 14317\nCIH to LAE: 6793\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58243,
"style": "rule"
}
|
{
"exact_answer": 58243,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XNA\", \"id\": 0}, {\"name\": \"DBV\", \"id\": 1}, {\"name\": \"ARU\", \"id\": 2}, {\"name\": \"SHR\", \"id\": 3}, {\"name\": \"CKD\", \"id\": 4}, {\"name\": \"ZEL\", \"id\": 5}, {\"name\": \"KVC\", \"id\": 6}, {\"name\": \"CIH\", \"id\": 7}, {\"name\": \"LAE\", \"id\": 8}], \"links\": [{\"weight\": 8905, \"source\": 0, \"target\": 1}, {\"weight\": 5445, \"source\": 0, \"target\": 4}, {\"weight\": 3270, \"source\": 0, \"target\": 5}, {\"weight\": 8716, \"source\": 0, \"target\": 2}, {\"weight\": 11793, \"source\": 0, \"target\": 7}, {\"weight\": 14804, \"source\": 0, \"target\": 8}, {\"weight\": 5878, \"source\": 0, \"target\": 6}, {\"weight\": 1567, \"source\": 0, \"target\": 3}, {\"weight\": 12228, \"source\": 1, \"target\": 4}, {\"weight\": 9649, \"source\": 1, \"target\": 5}, {\"weight\": 10414, \"source\": 1, \"target\": 2}, {\"weight\": 8350, \"source\": 1, \"target\": 7}, {\"weight\": 14650, \"source\": 1, \"target\": 8}, {\"weight\": 12661, \"source\": 1, \"target\": 6}, {\"weight\": 9779, \"source\": 1, \"target\": 3}, {\"weight\": 13943, \"source\": 2, \"target\": 4}, {\"weight\": 11920, \"source\": 2, \"target\": 5}, {\"weight\": 18137, \"source\": 2, \"target\": 7}, {\"weight\": 17451, \"source\": 2, \"target\": 8}, {\"weight\": 14376, \"source\": 2, \"target\": 6}, {\"weight\": 10217, \"source\": 2, \"target\": 3}, {\"weight\": 5032, \"source\": 3, \"target\": 4}, {\"weight\": 2857, \"source\": 3, \"target\": 5}, {\"weight\": 11380, \"source\": 3, \"target\": 7}, {\"weight\": 14565, \"source\": 3, \"target\": 8}, {\"weight\": 5465, \"source\": 3, \"target\": 6}, {\"weight\": 3612, \"source\": 4, \"target\": 5}, {\"weight\": 12118, \"source\": 4, \"target\": 7}, {\"weight\": 13884, \"source\": 4, \"target\": 8}, {\"weight\": 1617, \"source\": 4, \"target\": 6}, {\"weight\": 9505, \"source\": 5, \"target\": 7}, {\"weight\": 13394, \"source\": 5, \"target\": 8}, {\"weight\": 4045, \"source\": 5, \"target\": 6}, {\"weight\": 12551, \"source\": 6, \"target\": 7}, {\"weight\": 14317, \"source\": 6, \"target\": 8}, {\"weight\": 6793, \"source\": 7, \"target\": 8}]}",
"id": 224,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XNA, DBV, ARU, SHR, CKD, ZEL, KVC, CIH, LAE\n- Travel distances (in kilometers) between each pair of airports:\nXNA to DBV: 8905\nXNA to CKD: 5445\nXNA to ZEL: 3270\nXNA to ARU: 8716\nXNA to CIH: 11793\nXNA to LAE: 14804\nXNA to KVC: 5878\nXNA to SHR: 1567\nDBV to CKD: 12228\nDBV to ZEL: 9649\nDBV to ARU: 10414\nDBV to CIH: 8350\nDBV to LAE: 14650\nDBV to KVC: 12661\nDBV to SHR: 9779\nARU to CKD: 13943\nARU to ZEL: 11920\nARU to CIH: 18137\nARU to LAE: 17451\nARU to KVC: 14376\nARU to SHR: 10217\nSHR to CKD: 5032\nSHR to ZEL: 2857\nSHR to CIH: 11380\nSHR to LAE: 14565\nSHR to KVC: 5465\nCKD to ZEL: 3612\nCKD to CIH: 12118\nCKD to LAE: 13884\nCKD to KVC: 1617\nZEL to CIH: 9505\nZEL to LAE: 13394\nZEL to KVC: 4045\nKVC to CIH: 12551\nKVC to LAE: 14317\nCIH to LAE: 6793\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JDH, OZC, VIE, EAE, KBL, BSL, SDE, PLZ, KME\n- Travel distances (in kilometers) between each pair of airports:\nJDH to OZC: 6118\nJDH to KBL: 1476\nJDH to BSL: 6697\nJDH to VIE: 6021\nJDH to SDE: 17192\nJDH to PLZ: 8670\nJDH to EAE: 12035\nJDH to KME: 6234\nOZC to KBL: 6644\nOZC to BSL: 11260\nOZC to VIE: 10627\nOZC to SDE: 19740\nOZC to PLZ: 11835\nOZC to EAE: 6373\nOZC to KME: 11082\nVIE to BSL: 676\nVIE to KBL: 4579\nVIE to SDE: 12766\nVIE to PLZ: 9538\nVIE to EAE: 16533\nVIE to KME: 6095\nEAE to KBL: 12561\nEAE to BSL: 17166\nEAE to SDE: 14044\nEAE to PLZ: 14483\nEAE to KME: 15320\nKBL to BSL: 5252\nKBL to SDE: 16446\nKBL to PLZ: 9007\nKBL to KME: 5899\nBSL to SDE: 12197\nBSL to PLZ: 9680\nBSL to KME: 6547\nSDE to PLZ: 10982\nSDE to KME: 11485\nPLZ to KME: 3749\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54544,
"style": "rule"
}
|
{
"exact_answer": 54544,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JDH\", \"id\": 0}, {\"name\": \"OZC\", \"id\": 1}, {\"name\": \"VIE\", \"id\": 2}, {\"name\": \"EAE\", \"id\": 3}, {\"name\": \"KBL\", \"id\": 4}, {\"name\": \"BSL\", \"id\": 5}, {\"name\": \"SDE\", \"id\": 6}, {\"name\": \"PLZ\", \"id\": 7}, {\"name\": \"KME\", \"id\": 8}], \"links\": [{\"weight\": 6118, \"source\": 0, \"target\": 1}, {\"weight\": 1476, \"source\": 0, \"target\": 4}, {\"weight\": 6697, \"source\": 0, \"target\": 5}, {\"weight\": 6021, \"source\": 0, \"target\": 2}, {\"weight\": 17192, \"source\": 0, \"target\": 6}, {\"weight\": 8670, \"source\": 0, \"target\": 7}, {\"weight\": 12035, \"source\": 0, \"target\": 3}, {\"weight\": 6234, \"source\": 0, \"target\": 8}, {\"weight\": 6644, \"source\": 1, \"target\": 4}, {\"weight\": 11260, \"source\": 1, \"target\": 5}, {\"weight\": 10627, \"source\": 1, \"target\": 2}, {\"weight\": 19740, \"source\": 1, \"target\": 6}, {\"weight\": 11835, \"source\": 1, \"target\": 7}, {\"weight\": 6373, \"source\": 1, \"target\": 3}, {\"weight\": 11082, \"source\": 1, \"target\": 8}, {\"weight\": 676, \"source\": 2, \"target\": 5}, {\"weight\": 4579, \"source\": 2, \"target\": 4}, {\"weight\": 12766, \"source\": 2, \"target\": 6}, {\"weight\": 9538, \"source\": 2, \"target\": 7}, {\"weight\": 16533, \"source\": 2, \"target\": 3}, {\"weight\": 6095, \"source\": 2, \"target\": 8}, {\"weight\": 12561, \"source\": 3, \"target\": 4}, {\"weight\": 17166, \"source\": 3, \"target\": 5}, {\"weight\": 14044, \"source\": 3, \"target\": 6}, {\"weight\": 14483, \"source\": 3, \"target\": 7}, {\"weight\": 15320, \"source\": 3, \"target\": 8}, {\"weight\": 5252, \"source\": 4, \"target\": 5}, {\"weight\": 16446, \"source\": 4, \"target\": 6}, {\"weight\": 9007, \"source\": 4, \"target\": 7}, {\"weight\": 5899, \"source\": 4, \"target\": 8}, {\"weight\": 12197, \"source\": 5, \"target\": 6}, {\"weight\": 9680, \"source\": 5, \"target\": 7}, {\"weight\": 6547, \"source\": 5, \"target\": 8}, {\"weight\": 10982, \"source\": 6, \"target\": 7}, {\"weight\": 11485, \"source\": 6, \"target\": 8}, {\"weight\": 3749, \"source\": 7, \"target\": 8}]}",
"id": 225,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JDH, OZC, VIE, EAE, KBL, BSL, SDE, PLZ, KME\n- Travel distances (in kilometers) between each pair of airports:\nJDH to OZC: 6118\nJDH to KBL: 1476\nJDH to BSL: 6697\nJDH to VIE: 6021\nJDH to SDE: 17192\nJDH to PLZ: 8670\nJDH to EAE: 12035\nJDH to KME: 6234\nOZC to KBL: 6644\nOZC to BSL: 11260\nOZC to VIE: 10627\nOZC to SDE: 19740\nOZC to PLZ: 11835\nOZC to EAE: 6373\nOZC to KME: 11082\nVIE to BSL: 676\nVIE to KBL: 4579\nVIE to SDE: 12766\nVIE to PLZ: 9538\nVIE to EAE: 16533\nVIE to KME: 6095\nEAE to KBL: 12561\nEAE to BSL: 17166\nEAE to SDE: 14044\nEAE to PLZ: 14483\nEAE to KME: 15320\nKBL to BSL: 5252\nKBL to SDE: 16446\nKBL to PLZ: 9007\nKBL to KME: 5899\nBSL to SDE: 12197\nBSL to PLZ: 9680\nBSL to KME: 6547\nSDE to PLZ: 10982\nSDE to KME: 11485\nPLZ to KME: 3749\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DUS, NJF, TBN, NSH, KZB, BHS, ADK, SVA, MYA\n- Travel distances (in kilometers) between each pair of airports:\nDUS to KZB: 10844\nDUS to SVA: 11468\nDUS to TBN: 7393\nDUS to ADK: 12256\nDUS to NSH: 4192\nDUS to NJF: 3747\nDUS to BHS: 16746\nDUS to MYA: 16830\nNJF to KZB: 14493\nNJF to SVA: 15117\nNJF to TBN: 11130\nNJF to ADK: 15905\nNJF to NSH: 1352\nNJF to BHS: 13500\nNJF to MYA: 13517\nTBN to KZB: 5454\nTBN to SVA: 6078\nTBN to ADK: 6866\nTBN to NSH: 11575\nTBN to BHS: 14959\nTBN to MYA: 15043\nNSH to KZB: 14915\nNSH to SVA: 15539\nNSH to ADK: 16327\nNSH to BHS: 13188\nNSH to MYA: 13272\nKZB to SVA: 1626\nKZB to ADK: 2414\nKZB to BHS: 13298\nKZB to MYA: 13382\nBHS to SVA: 13922\nBHS to ADK: 14710\nBHS to MYA: 390\nADK to SVA: 3038\nADK to MYA: 14794\nSVA to MYA: 14006\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50982,
"style": "rule"
}
|
{
"exact_answer": 50982,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DUS\", \"id\": 0}, {\"name\": \"NJF\", \"id\": 1}, {\"name\": \"TBN\", \"id\": 2}, {\"name\": \"NSH\", \"id\": 3}, {\"name\": \"KZB\", \"id\": 4}, {\"name\": \"BHS\", \"id\": 5}, {\"name\": \"ADK\", \"id\": 6}, {\"name\": \"SVA\", \"id\": 7}, {\"name\": \"MYA\", \"id\": 8}], \"links\": [{\"weight\": 10844, \"source\": 0, \"target\": 4}, {\"weight\": 11468, \"source\": 0, \"target\": 7}, {\"weight\": 7393, \"source\": 0, \"target\": 2}, {\"weight\": 12256, \"source\": 0, \"target\": 6}, {\"weight\": 4192, \"source\": 0, \"target\": 3}, {\"weight\": 3747, \"source\": 0, \"target\": 1}, {\"weight\": 16746, \"source\": 0, \"target\": 5}, {\"weight\": 16830, \"source\": 0, \"target\": 8}, {\"weight\": 14493, \"source\": 1, \"target\": 4}, {\"weight\": 15117, \"source\": 1, \"target\": 7}, {\"weight\": 11130, \"source\": 1, \"target\": 2}, {\"weight\": 15905, \"source\": 1, \"target\": 6}, {\"weight\": 1352, \"source\": 1, \"target\": 3}, {\"weight\": 13500, \"source\": 1, \"target\": 5}, {\"weight\": 13517, \"source\": 1, \"target\": 8}, {\"weight\": 5454, \"source\": 2, \"target\": 4}, {\"weight\": 6078, \"source\": 2, \"target\": 7}, {\"weight\": 6866, \"source\": 2, \"target\": 6}, {\"weight\": 11575, \"source\": 2, \"target\": 3}, {\"weight\": 14959, \"source\": 2, \"target\": 5}, {\"weight\": 15043, \"source\": 2, \"target\": 8}, {\"weight\": 14915, \"source\": 3, \"target\": 4}, {\"weight\": 15539, \"source\": 3, \"target\": 7}, {\"weight\": 16327, \"source\": 3, \"target\": 6}, {\"weight\": 13188, \"source\": 3, \"target\": 5}, {\"weight\": 13272, \"source\": 3, \"target\": 8}, {\"weight\": 1626, \"source\": 4, \"target\": 7}, {\"weight\": 2414, \"source\": 4, \"target\": 6}, {\"weight\": 13298, \"source\": 4, \"target\": 5}, {\"weight\": 13382, \"source\": 4, \"target\": 8}, {\"weight\": 13922, \"source\": 5, \"target\": 7}, {\"weight\": 14710, \"source\": 5, \"target\": 6}, {\"weight\": 390, \"source\": 5, \"target\": 8}, {\"weight\": 3038, \"source\": 6, \"target\": 7}, {\"weight\": 14794, \"source\": 6, \"target\": 8}, {\"weight\": 14006, \"source\": 7, \"target\": 8}]}",
"id": 226,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DUS, NJF, TBN, NSH, KZB, BHS, ADK, SVA, MYA\n- Travel distances (in kilometers) between each pair of airports:\nDUS to KZB: 10844\nDUS to SVA: 11468\nDUS to TBN: 7393\nDUS to ADK: 12256\nDUS to NSH: 4192\nDUS to NJF: 3747\nDUS to BHS: 16746\nDUS to MYA: 16830\nNJF to KZB: 14493\nNJF to SVA: 15117\nNJF to TBN: 11130\nNJF to ADK: 15905\nNJF to NSH: 1352\nNJF to BHS: 13500\nNJF to MYA: 13517\nTBN to KZB: 5454\nTBN to SVA: 6078\nTBN to ADK: 6866\nTBN to NSH: 11575\nTBN to BHS: 14959\nTBN to MYA: 15043\nNSH to KZB: 14915\nNSH to SVA: 15539\nNSH to ADK: 16327\nNSH to BHS: 13188\nNSH to MYA: 13272\nKZB to SVA: 1626\nKZB to ADK: 2414\nKZB to BHS: 13298\nKZB to MYA: 13382\nBHS to SVA: 13922\nBHS to ADK: 14710\nBHS to MYA: 390\nADK to SVA: 3038\nADK to MYA: 14794\nSVA to MYA: 14006\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, MFU, MOL, MLH, HKT, AGP, WSN, DSA, NRA\n- Travel distances (in kilometers) between each pair of airports:\nPZU to HKT: 6897\nPZU to AGP: 4996\nPZU to MLH: 4283\nPZU to DSA: 5332\nPZU to MOL: 5356\nPZU to WSN: 15247\nPZU to MFU: 4846\nPZU to NRA: 14246\nMFU to HKT: 10149\nMFU to AGP: 7757\nMFU to MLH: 8754\nMFU to DSA: 9342\nMFU to MOL: 9476\nMFU to WSN: 18885\nMFU to NRA: 13100\nMOL to HKT: 9389\nMOL to AGP: 3007\nMOL to MLH: 1993\nMOL to DSA: 2102\nMOL to WSN: 10400\nMOL to NRA: 16749\nMLH to HKT: 9770\nMLH to AGP: 1564\nMLH to DSA: 1448\nMLH to WSN: 11276\nMLH to NRA: 17222\nHKT to AGP: 10815\nHKT to DSA: 9945\nHKT to WSN: 15475\nHKT to NRA: 7703\nAGP to DSA: 2236\nAGP to WSN: 11752\nAGP to NRA: 18306\nWSN to DSA: 11160\nWSN to NRA: 13562\nDSA to NRA: 17450\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56279,
"style": "rule"
}
|
{
"exact_answer": 56279,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PZU\", \"id\": 0}, {\"name\": \"MFU\", \"id\": 1}, {\"name\": \"MOL\", \"id\": 2}, {\"name\": \"MLH\", \"id\": 3}, {\"name\": \"HKT\", \"id\": 4}, {\"name\": \"AGP\", \"id\": 5}, {\"name\": \"WSN\", \"id\": 6}, {\"name\": \"DSA\", \"id\": 7}, {\"name\": \"NRA\", \"id\": 8}], \"links\": [{\"weight\": 6897, \"source\": 0, \"target\": 4}, {\"weight\": 4996, \"source\": 0, \"target\": 5}, {\"weight\": 4283, \"source\": 0, \"target\": 3}, {\"weight\": 5332, \"source\": 0, \"target\": 7}, {\"weight\": 5356, \"source\": 0, \"target\": 2}, {\"weight\": 15247, \"source\": 0, \"target\": 6}, {\"weight\": 4846, \"source\": 0, \"target\": 1}, {\"weight\": 14246, \"source\": 0, \"target\": 8}, {\"weight\": 10149, \"source\": 1, \"target\": 4}, {\"weight\": 7757, \"source\": 1, \"target\": 5}, {\"weight\": 8754, \"source\": 1, \"target\": 3}, {\"weight\": 9342, \"source\": 1, \"target\": 7}, {\"weight\": 9476, \"source\": 1, \"target\": 2}, {\"weight\": 18885, \"source\": 1, \"target\": 6}, {\"weight\": 13100, \"source\": 1, \"target\": 8}, {\"weight\": 9389, \"source\": 2, \"target\": 4}, {\"weight\": 3007, \"source\": 2, \"target\": 5}, {\"weight\": 1993, \"source\": 2, \"target\": 3}, {\"weight\": 2102, \"source\": 2, \"target\": 7}, {\"weight\": 10400, \"source\": 2, \"target\": 6}, {\"weight\": 16749, \"source\": 2, \"target\": 8}, {\"weight\": 9770, \"source\": 3, \"target\": 4}, {\"weight\": 1564, \"source\": 3, \"target\": 5}, {\"weight\": 1448, \"source\": 3, \"target\": 7}, {\"weight\": 11276, \"source\": 3, \"target\": 6}, {\"weight\": 17222, \"source\": 3, \"target\": 8}, {\"weight\": 10815, \"source\": 4, \"target\": 5}, {\"weight\": 9945, \"source\": 4, \"target\": 7}, {\"weight\": 15475, \"source\": 4, \"target\": 6}, {\"weight\": 7703, \"source\": 4, \"target\": 8}, {\"weight\": 2236, \"source\": 5, \"target\": 7}, {\"weight\": 11752, \"source\": 5, \"target\": 6}, {\"weight\": 18306, \"source\": 5, \"target\": 8}, {\"weight\": 11160, \"source\": 6, \"target\": 7}, {\"weight\": 13562, \"source\": 6, \"target\": 8}, {\"weight\": 17450, \"source\": 7, \"target\": 8}]}",
"id": 227,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, MFU, MOL, MLH, HKT, AGP, WSN, DSA, NRA\n- Travel distances (in kilometers) between each pair of airports:\nPZU to HKT: 6897\nPZU to AGP: 4996\nPZU to MLH: 4283\nPZU to DSA: 5332\nPZU to MOL: 5356\nPZU to WSN: 15247\nPZU to MFU: 4846\nPZU to NRA: 14246\nMFU to HKT: 10149\nMFU to AGP: 7757\nMFU to MLH: 8754\nMFU to DSA: 9342\nMFU to MOL: 9476\nMFU to WSN: 18885\nMFU to NRA: 13100\nMOL to HKT: 9389\nMOL to AGP: 3007\nMOL to MLH: 1993\nMOL to DSA: 2102\nMOL to WSN: 10400\nMOL to NRA: 16749\nMLH to HKT: 9770\nMLH to AGP: 1564\nMLH to DSA: 1448\nMLH to WSN: 11276\nMLH to NRA: 17222\nHKT to AGP: 10815\nHKT to DSA: 9945\nHKT to WSN: 15475\nHKT to NRA: 7703\nAGP to DSA: 2236\nAGP to WSN: 11752\nAGP to NRA: 18306\nWSN to DSA: 11160\nWSN to NRA: 13562\nDSA to NRA: 17450\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRS, YZV, ULZ, KOE, YMT, SKP, CAW, HRM, NYO\n- Travel distances (in kilometers) between each pair of airports:\nLRS to YZV: 7639\nLRS to SKP: 1366\nLRS to CAW: 10506\nLRS to HRM: 2568\nLRS to NYO: 2622\nLRS to KOE: 11809\nLRS to ULZ: 7808\nLRS to YMT: 8377\nYZV to SKP: 6927\nYZV to CAW: 9323\nYZV to HRM: 7034\nYZV to NYO: 6414\nYZV to KOE: 18098\nYZV to ULZ: 12831\nYZV to YMT: 1248\nULZ to SKP: 7434\nULZ to CAW: 16761\nULZ to HRM: 9124\nULZ to NYO: 7304\nULZ to KOE: 8049\nULZ to YMT: 13455\nKOE to SKP: 11866\nKOE to CAW: 19262\nKOE to HRM: 13901\nKOE to NYO: 12815\nKOE to YMT: 17665\nYMT to SKP: 7673\nYMT to CAW: 9037\nYMT to HRM: 7174\nYMT to NYO: 7080\nSKP to NYO: 1899\nSKP to CAW: 10061\nSKP to HRM: 2155\nCAW to HRM: 8777\nCAW to NYO: 10427\nHRM to NYO: 3100\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56159,
"style": "rule"
}
|
{
"exact_answer": 56159,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LRS\", \"id\": 0}, {\"name\": \"YZV\", \"id\": 1}, {\"name\": \"ULZ\", \"id\": 2}, {\"name\": \"KOE\", \"id\": 3}, {\"name\": \"YMT\", \"id\": 4}, {\"name\": \"SKP\", \"id\": 5}, {\"name\": \"CAW\", \"id\": 6}, {\"name\": \"HRM\", \"id\": 7}, {\"name\": \"NYO\", \"id\": 8}], \"links\": [{\"weight\": 7639, \"source\": 0, \"target\": 1}, {\"weight\": 1366, \"source\": 0, \"target\": 5}, {\"weight\": 10506, \"source\": 0, \"target\": 6}, {\"weight\": 2568, \"source\": 0, \"target\": 7}, {\"weight\": 2622, \"source\": 0, \"target\": 8}, {\"weight\": 11809, \"source\": 0, \"target\": 3}, {\"weight\": 7808, \"source\": 0, \"target\": 2}, {\"weight\": 8377, \"source\": 0, \"target\": 4}, {\"weight\": 6927, \"source\": 1, \"target\": 5}, {\"weight\": 9323, \"source\": 1, \"target\": 6}, {\"weight\": 7034, \"source\": 1, \"target\": 7}, {\"weight\": 6414, \"source\": 1, \"target\": 8}, {\"weight\": 18098, \"source\": 1, \"target\": 3}, {\"weight\": 12831, \"source\": 1, \"target\": 2}, {\"weight\": 1248, \"source\": 1, \"target\": 4}, {\"weight\": 7434, \"source\": 2, \"target\": 5}, {\"weight\": 16761, \"source\": 2, \"target\": 6}, {\"weight\": 9124, \"source\": 2, \"target\": 7}, {\"weight\": 7304, \"source\": 2, \"target\": 8}, {\"weight\": 8049, \"source\": 2, \"target\": 3}, {\"weight\": 13455, \"source\": 2, \"target\": 4}, {\"weight\": 11866, \"source\": 3, \"target\": 5}, {\"weight\": 19262, \"source\": 3, \"target\": 6}, {\"weight\": 13901, \"source\": 3, \"target\": 7}, {\"weight\": 12815, \"source\": 3, \"target\": 8}, {\"weight\": 17665, \"source\": 3, \"target\": 4}, {\"weight\": 7673, \"source\": 4, \"target\": 5}, {\"weight\": 9037, \"source\": 4, \"target\": 6}, {\"weight\": 7174, \"source\": 4, \"target\": 7}, {\"weight\": 7080, \"source\": 4, \"target\": 8}, {\"weight\": 1899, \"source\": 5, \"target\": 8}, {\"weight\": 10061, \"source\": 5, \"target\": 6}, {\"weight\": 2155, \"source\": 5, \"target\": 7}, {\"weight\": 8777, \"source\": 6, \"target\": 7}, {\"weight\": 10427, \"source\": 6, \"target\": 8}, {\"weight\": 3100, \"source\": 7, \"target\": 8}]}",
"id": 228,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRS, YZV, ULZ, KOE, YMT, SKP, CAW, HRM, NYO\n- Travel distances (in kilometers) between each pair of airports:\nLRS to YZV: 7639\nLRS to SKP: 1366\nLRS to CAW: 10506\nLRS to HRM: 2568\nLRS to NYO: 2622\nLRS to KOE: 11809\nLRS to ULZ: 7808\nLRS to YMT: 8377\nYZV to SKP: 6927\nYZV to CAW: 9323\nYZV to HRM: 7034\nYZV to NYO: 6414\nYZV to KOE: 18098\nYZV to ULZ: 12831\nYZV to YMT: 1248\nULZ to SKP: 7434\nULZ to CAW: 16761\nULZ to HRM: 9124\nULZ to NYO: 7304\nULZ to KOE: 8049\nULZ to YMT: 13455\nKOE to SKP: 11866\nKOE to CAW: 19262\nKOE to HRM: 13901\nKOE to NYO: 12815\nKOE to YMT: 17665\nYMT to SKP: 7673\nYMT to CAW: 9037\nYMT to HRM: 7174\nYMT to NYO: 7080\nSKP to NYO: 1899\nSKP to CAW: 10061\nSKP to HRM: 2155\nCAW to HRM: 8777\nCAW to NYO: 10427\nHRM to NYO: 3100\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BGY, PIX, SLX, ARK, KTW, KTM, YCL, BUW, BEG\n- Travel distances (in kilometers) between each pair of airports:\nBGY to KTW: 877\nBGY to KTM: 6920\nBGY to BEG: 1058\nBGY to SLX: 8475\nBGY to BUW: 12478\nBGY to YCL: 6134\nBGY to ARK: 7136\nBGY to PIX: 3267\nPIX to KTM: 10125\nPIX to BEG: 4103\nPIX to KTW: 4035\nPIX to SLX: 6526\nPIX to BUW: 15703\nPIX to YCL: 5171\nPIX to ARK: 10041\nSLX to KTM: 14781\nSLX to BEG: 8986\nSLX to KTW: 8722\nSLX to BUW: 18650\nSLX to YCL: 3497\nSLX to ARK: 15085\nARK to KTM: 7080\nARK to BEG: 6501\nARK to KTW: 7139\nARK to BUW: 11008\nARK to YCL: 12860\nKTW to KTM: 6275\nKTW to BEG: 1047\nKTW to BUW: 11825\nKTW to YCL: 6360\nKTM to BEG: 6106\nKTM to BUW: 5744\nKTM to YCL: 12536\nYCL to BEG: 6692\nYCL to BUW: 17683\nBUW to BEG: 11674\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50236,
"style": "rule"
}
|
{
"exact_answer": 50236,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BGY\", \"id\": 0}, {\"name\": \"PIX\", \"id\": 1}, {\"name\": \"SLX\", \"id\": 2}, {\"name\": \"ARK\", \"id\": 3}, {\"name\": \"KTW\", \"id\": 4}, {\"name\": \"KTM\", \"id\": 5}, {\"name\": \"YCL\", \"id\": 6}, {\"name\": \"BUW\", \"id\": 7}, {\"name\": \"BEG\", \"id\": 8}], \"links\": [{\"weight\": 877, \"source\": 0, \"target\": 4}, {\"weight\": 6920, \"source\": 0, \"target\": 5}, {\"weight\": 1058, \"source\": 0, \"target\": 8}, {\"weight\": 8475, \"source\": 0, \"target\": 2}, {\"weight\": 12478, \"source\": 0, \"target\": 7}, {\"weight\": 6134, \"source\": 0, \"target\": 6}, {\"weight\": 7136, \"source\": 0, \"target\": 3}, {\"weight\": 3267, \"source\": 0, \"target\": 1}, {\"weight\": 10125, \"source\": 1, \"target\": 5}, {\"weight\": 4103, \"source\": 1, \"target\": 8}, {\"weight\": 4035, \"source\": 1, \"target\": 4}, {\"weight\": 6526, \"source\": 1, \"target\": 2}, {\"weight\": 15703, \"source\": 1, \"target\": 7}, {\"weight\": 5171, \"source\": 1, \"target\": 6}, {\"weight\": 10041, \"source\": 1, \"target\": 3}, {\"weight\": 14781, \"source\": 2, \"target\": 5}, {\"weight\": 8986, \"source\": 2, \"target\": 8}, {\"weight\": 8722, \"source\": 2, \"target\": 4}, {\"weight\": 18650, \"source\": 2, \"target\": 7}, {\"weight\": 3497, \"source\": 2, \"target\": 6}, {\"weight\": 15085, \"source\": 2, \"target\": 3}, {\"weight\": 7080, \"source\": 3, \"target\": 5}, {\"weight\": 6501, \"source\": 3, \"target\": 8}, {\"weight\": 7139, \"source\": 3, \"target\": 4}, {\"weight\": 11008, \"source\": 3, \"target\": 7}, {\"weight\": 12860, \"source\": 3, \"target\": 6}, {\"weight\": 6275, \"source\": 4, \"target\": 5}, {\"weight\": 1047, \"source\": 4, \"target\": 8}, {\"weight\": 11825, \"source\": 4, \"target\": 7}, {\"weight\": 6360, \"source\": 4, \"target\": 6}, {\"weight\": 6106, \"source\": 5, \"target\": 8}, {\"weight\": 5744, \"source\": 5, \"target\": 7}, {\"weight\": 12536, \"source\": 5, \"target\": 6}, {\"weight\": 6692, \"source\": 6, \"target\": 8}, {\"weight\": 17683, \"source\": 6, \"target\": 7}, {\"weight\": 11674, \"source\": 7, \"target\": 8}]}",
"id": 229,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BGY, PIX, SLX, ARK, KTW, KTM, YCL, BUW, BEG\n- Travel distances (in kilometers) between each pair of airports:\nBGY to KTW: 877\nBGY to KTM: 6920\nBGY to BEG: 1058\nBGY to SLX: 8475\nBGY to BUW: 12478\nBGY to YCL: 6134\nBGY to ARK: 7136\nBGY to PIX: 3267\nPIX to KTM: 10125\nPIX to BEG: 4103\nPIX to KTW: 4035\nPIX to SLX: 6526\nPIX to BUW: 15703\nPIX to YCL: 5171\nPIX to ARK: 10041\nSLX to KTM: 14781\nSLX to BEG: 8986\nSLX to KTW: 8722\nSLX to BUW: 18650\nSLX to YCL: 3497\nSLX to ARK: 15085\nARK to KTM: 7080\nARK to BEG: 6501\nARK to KTW: 7139\nARK to BUW: 11008\nARK to YCL: 12860\nKTW to KTM: 6275\nKTW to BEG: 1047\nKTW to BUW: 11825\nKTW to YCL: 6360\nKTM to BEG: 6106\nKTM to BUW: 5744\nKTM to YCL: 12536\nYCL to BEG: 6692\nYCL to BUW: 17683\nBUW to BEG: 11674\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RTB, MOI, PMW, AZD, RAI, YVP, HDG, YQZ, LOH\n- Travel distances (in kilometers) between each pair of airports:\nRTB to PMW: 6098\nRTB to YVP: 4948\nRTB to HDG: 14245\nRTB to YQZ: 5362\nRTB to RAI: 8713\nRTB to AZD: 13388\nRTB to LOH: 2640\nRTB to MOI: 11534\nMOI to PMW: 13493\nMOI to YVP: 12502\nMOI to HDG: 13223\nMOI to YQZ: 9967\nMOI to RAI: 17024\nMOI to AZD: 18092\nMOI to LOH: 13216\nPMW to YVP: 8355\nPMW to HDG: 18262\nPMW to YQZ: 10531\nPMW to RAI: 4546\nPMW to AZD: 13008\nPMW to LOH: 5691\nAZD to YVP: 10626\nAZD to HDG: 6382\nAZD to YQZ: 12828\nAZD to RAI: 8462\nAZD to LOH: 14450\nRAI to YVP: 7307\nRAI to HDG: 13751\nRAI to YQZ: 9926\nRAI to LOH: 8469\nYVP to HDG: 13413\nYVP to YQZ: 4507\nYVP to LOH: 6993\nHDG to YQZ: 9762\nHDG to LOH: 16650\nYQZ to LOH: 7766\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60366,
"style": "rule"
}
|
{
"exact_answer": 60366,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RTB\", \"id\": 0}, {\"name\": \"MOI\", \"id\": 1}, {\"name\": \"PMW\", \"id\": 2}, {\"name\": \"AZD\", \"id\": 3}, {\"name\": \"RAI\", \"id\": 4}, {\"name\": \"YVP\", \"id\": 5}, {\"name\": \"HDG\", \"id\": 6}, {\"name\": \"YQZ\", \"id\": 7}, {\"name\": \"LOH\", \"id\": 8}], \"links\": [{\"weight\": 6098, \"source\": 0, \"target\": 2}, {\"weight\": 4948, \"source\": 0, \"target\": 5}, {\"weight\": 14245, \"source\": 0, \"target\": 6}, {\"weight\": 5362, \"source\": 0, \"target\": 7}, {\"weight\": 8713, \"source\": 0, \"target\": 4}, {\"weight\": 13388, \"source\": 0, \"target\": 3}, {\"weight\": 2640, \"source\": 0, \"target\": 8}, {\"weight\": 11534, \"source\": 0, \"target\": 1}, {\"weight\": 13493, \"source\": 1, \"target\": 2}, {\"weight\": 12502, \"source\": 1, \"target\": 5}, {\"weight\": 13223, \"source\": 1, \"target\": 6}, {\"weight\": 9967, \"source\": 1, \"target\": 7}, {\"weight\": 17024, \"source\": 1, \"target\": 4}, {\"weight\": 18092, \"source\": 1, \"target\": 3}, {\"weight\": 13216, \"source\": 1, \"target\": 8}, {\"weight\": 8355, \"source\": 2, \"target\": 5}, {\"weight\": 18262, \"source\": 2, \"target\": 6}, {\"weight\": 10531, \"source\": 2, \"target\": 7}, {\"weight\": 4546, \"source\": 2, \"target\": 4}, {\"weight\": 13008, \"source\": 2, \"target\": 3}, {\"weight\": 5691, \"source\": 2, \"target\": 8}, {\"weight\": 10626, \"source\": 3, \"target\": 5}, {\"weight\": 6382, \"source\": 3, \"target\": 6}, {\"weight\": 12828, \"source\": 3, \"target\": 7}, {\"weight\": 8462, \"source\": 3, \"target\": 4}, {\"weight\": 14450, \"source\": 3, \"target\": 8}, {\"weight\": 7307, \"source\": 4, \"target\": 5}, {\"weight\": 13751, \"source\": 4, \"target\": 6}, {\"weight\": 9926, \"source\": 4, \"target\": 7}, {\"weight\": 8469, \"source\": 4, \"target\": 8}, {\"weight\": 13413, \"source\": 5, \"target\": 6}, {\"weight\": 4507, \"source\": 5, \"target\": 7}, {\"weight\": 6993, \"source\": 5, \"target\": 8}, {\"weight\": 9762, \"source\": 6, \"target\": 7}, {\"weight\": 16650, \"source\": 6, \"target\": 8}, {\"weight\": 7766, \"source\": 7, \"target\": 8}]}",
"id": 230,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RTB, MOI, PMW, AZD, RAI, YVP, HDG, YQZ, LOH\n- Travel distances (in kilometers) between each pair of airports:\nRTB to PMW: 6098\nRTB to YVP: 4948\nRTB to HDG: 14245\nRTB to YQZ: 5362\nRTB to RAI: 8713\nRTB to AZD: 13388\nRTB to LOH: 2640\nRTB to MOI: 11534\nMOI to PMW: 13493\nMOI to YVP: 12502\nMOI to HDG: 13223\nMOI to YQZ: 9967\nMOI to RAI: 17024\nMOI to AZD: 18092\nMOI to LOH: 13216\nPMW to YVP: 8355\nPMW to HDG: 18262\nPMW to YQZ: 10531\nPMW to RAI: 4546\nPMW to AZD: 13008\nPMW to LOH: 5691\nAZD to YVP: 10626\nAZD to HDG: 6382\nAZD to YQZ: 12828\nAZD to RAI: 8462\nAZD to LOH: 14450\nRAI to YVP: 7307\nRAI to HDG: 13751\nRAI to YQZ: 9926\nRAI to LOH: 8469\nYVP to HDG: 13413\nYVP to YQZ: 4507\nYVP to LOH: 6993\nHDG to YQZ: 9762\nHDG to LOH: 16650\nYQZ to LOH: 7766\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, EMD, YBK, BHY, KSM, NOZ, TFN, RVN, YLW\n- Travel distances (in kilometers) between each pair of airports:\nMSP to BHY: 12905\nMSP to YLW: 2087\nMSP to YBK: 2335\nMSP to KSM: 4750\nMSP to TFN: 7241\nMSP to RVN: 8397\nMSP to EMD: 14599\nMSP to NOZ: 11658\nEMD to BHY: 8192\nEMD to YLW: 12844\nEMD to YBK: 15776\nEMD to KSM: 13386\nEMD to TFN: 19705\nEMD to RVN: 16102\nEMD to NOZ: 17801\nYBK to BHY: 13820\nYBK to YLW: 2956\nYBK to KSM: 6340\nYBK to TFN: 9348\nYBK to RVN: 10115\nYBK to NOZ: 13185\nBHY to YLW: 10888\nBHY to KSM: 13838\nBHY to TFN: 12125\nBHY to RVN: 8365\nBHY to NOZ: 10040\nKSM to YLW: 3385\nKSM to TFN: 11991\nKSM to RVN: 11983\nKSM to NOZ: 15265\nNOZ to YLW: 11888\nNOZ to TFN: 8293\nNOZ to RVN: 4672\nTFN to YLW: 9218\nTFN to RVN: 5383\nRVN to YLW: 8606\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57590,
"style": "rule"
}
|
{
"exact_answer": 57590,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSP\", \"id\": 0}, {\"name\": \"EMD\", \"id\": 1}, {\"name\": \"YBK\", \"id\": 2}, {\"name\": \"BHY\", \"id\": 3}, {\"name\": \"KSM\", \"id\": 4}, {\"name\": \"NOZ\", \"id\": 5}, {\"name\": \"TFN\", \"id\": 6}, {\"name\": \"RVN\", \"id\": 7}, {\"name\": \"YLW\", \"id\": 8}], \"links\": [{\"weight\": 12905, \"source\": 0, \"target\": 3}, {\"weight\": 2087, \"source\": 0, \"target\": 8}, {\"weight\": 2335, \"source\": 0, \"target\": 2}, {\"weight\": 4750, \"source\": 0, \"target\": 4}, {\"weight\": 7241, \"source\": 0, \"target\": 6}, {\"weight\": 8397, \"source\": 0, \"target\": 7}, {\"weight\": 14599, \"source\": 0, \"target\": 1}, {\"weight\": 11658, \"source\": 0, \"target\": 5}, {\"weight\": 8192, \"source\": 1, \"target\": 3}, {\"weight\": 12844, \"source\": 1, \"target\": 8}, {\"weight\": 15776, \"source\": 1, \"target\": 2}, {\"weight\": 13386, \"source\": 1, \"target\": 4}, {\"weight\": 19705, \"source\": 1, \"target\": 6}, {\"weight\": 16102, \"source\": 1, \"target\": 7}, {\"weight\": 17801, \"source\": 1, \"target\": 5}, {\"weight\": 13820, \"source\": 2, \"target\": 3}, {\"weight\": 2956, \"source\": 2, \"target\": 8}, {\"weight\": 6340, \"source\": 2, \"target\": 4}, {\"weight\": 9348, \"source\": 2, \"target\": 6}, {\"weight\": 10115, \"source\": 2, \"target\": 7}, {\"weight\": 13185, \"source\": 2, \"target\": 5}, {\"weight\": 10888, \"source\": 3, \"target\": 8}, {\"weight\": 13838, \"source\": 3, \"target\": 4}, {\"weight\": 12125, \"source\": 3, \"target\": 6}, {\"weight\": 8365, \"source\": 3, \"target\": 7}, {\"weight\": 10040, \"source\": 3, \"target\": 5}, {\"weight\": 3385, \"source\": 4, \"target\": 8}, {\"weight\": 11991, \"source\": 4, \"target\": 6}, {\"weight\": 11983, \"source\": 4, \"target\": 7}, {\"weight\": 15265, \"source\": 4, \"target\": 5}, {\"weight\": 11888, \"source\": 5, \"target\": 8}, {\"weight\": 8293, \"source\": 5, \"target\": 6}, {\"weight\": 4672, \"source\": 5, \"target\": 7}, {\"weight\": 9218, \"source\": 6, \"target\": 8}, {\"weight\": 5383, \"source\": 6, \"target\": 7}, {\"weight\": 8606, \"source\": 7, \"target\": 8}]}",
"id": 231,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, EMD, YBK, BHY, KSM, NOZ, TFN, RVN, YLW\n- Travel distances (in kilometers) between each pair of airports:\nMSP to BHY: 12905\nMSP to YLW: 2087\nMSP to YBK: 2335\nMSP to KSM: 4750\nMSP to TFN: 7241\nMSP to RVN: 8397\nMSP to EMD: 14599\nMSP to NOZ: 11658\nEMD to BHY: 8192\nEMD to YLW: 12844\nEMD to YBK: 15776\nEMD to KSM: 13386\nEMD to TFN: 19705\nEMD to RVN: 16102\nEMD to NOZ: 17801\nYBK to BHY: 13820\nYBK to YLW: 2956\nYBK to KSM: 6340\nYBK to TFN: 9348\nYBK to RVN: 10115\nYBK to NOZ: 13185\nBHY to YLW: 10888\nBHY to KSM: 13838\nBHY to TFN: 12125\nBHY to RVN: 8365\nBHY to NOZ: 10040\nKSM to YLW: 3385\nKSM to TFN: 11991\nKSM to RVN: 11983\nKSM to NOZ: 15265\nNOZ to YLW: 11888\nNOZ to TFN: 8293\nNOZ to RVN: 4672\nTFN to YLW: 9218\nTFN to RVN: 5383\nRVN to YLW: 8606\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTP, BFS, CTS, RDC, JNN, NOV, YQZ, BTT, JER\n- Travel distances (in kilometers) between each pair of airports:\nPTP to BTT: 9079\nPTP to YQZ: 7066\nPTP to CTS: 14573\nPTP to JER: 6923\nPTP to NOV: 11609\nPTP to JNN: 8937\nPTP to BFS: 7226\nPTP to RDC: 3205\nBFS to BTT: 10081\nBFS to YQZ: 7681\nBFS to CTS: 9682\nBFS to JER: 676\nBFS to NOV: 7888\nBFS to JNN: 3522\nBFS to RDC: 9081\nCTS to BTT: 11189\nCTS to YQZ: 8718\nCTS to JER: 9812\nCTS to NOV: 14396\nCTS to JNN: 12183\nCTS to RDC: 17778\nRDC to BTT: 12284\nRDC to YQZ: 10271\nRDC to JER: 8942\nRDC to NOV: 9113\nRDC to JNN: 12142\nJNN to BTT: 10557\nJNN to YQZ: 8157\nJNN to JER: 4060\nJNN to NOV: 11244\nNOV to BTT: 17461\nNOV to YQZ: 15357\nNOV to JER: 7378\nYQZ to BTT: 3379\nYQZ to JER: 8219\nBTT to JER: 10619\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57253,
"style": "rule"
}
|
{
"exact_answer": 57253,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTP\", \"id\": 0}, {\"name\": \"BFS\", \"id\": 1}, {\"name\": \"CTS\", \"id\": 2}, {\"name\": \"RDC\", \"id\": 3}, {\"name\": \"JNN\", \"id\": 4}, {\"name\": \"NOV\", \"id\": 5}, {\"name\": \"YQZ\", \"id\": 6}, {\"name\": \"BTT\", \"id\": 7}, {\"name\": \"JER\", \"id\": 8}], \"links\": [{\"weight\": 9079, \"source\": 0, \"target\": 7}, {\"weight\": 7066, \"source\": 0, \"target\": 6}, {\"weight\": 14573, \"source\": 0, \"target\": 2}, {\"weight\": 6923, \"source\": 0, \"target\": 8}, {\"weight\": 11609, \"source\": 0, \"target\": 5}, {\"weight\": 8937, \"source\": 0, \"target\": 4}, {\"weight\": 7226, \"source\": 0, \"target\": 1}, {\"weight\": 3205, \"source\": 0, \"target\": 3}, {\"weight\": 10081, \"source\": 1, \"target\": 7}, {\"weight\": 7681, \"source\": 1, \"target\": 6}, {\"weight\": 9682, \"source\": 1, \"target\": 2}, {\"weight\": 676, \"source\": 1, \"target\": 8}, {\"weight\": 7888, \"source\": 1, \"target\": 5}, {\"weight\": 3522, \"source\": 1, \"target\": 4}, {\"weight\": 9081, \"source\": 1, \"target\": 3}, {\"weight\": 11189, \"source\": 2, \"target\": 7}, {\"weight\": 8718, \"source\": 2, \"target\": 6}, {\"weight\": 9812, \"source\": 2, \"target\": 8}, {\"weight\": 14396, \"source\": 2, \"target\": 5}, {\"weight\": 12183, \"source\": 2, \"target\": 4}, {\"weight\": 17778, \"source\": 2, \"target\": 3}, {\"weight\": 12284, \"source\": 3, \"target\": 7}, {\"weight\": 10271, \"source\": 3, \"target\": 6}, {\"weight\": 8942, \"source\": 3, \"target\": 8}, {\"weight\": 9113, \"source\": 3, \"target\": 5}, {\"weight\": 12142, \"source\": 3, \"target\": 4}, {\"weight\": 10557, \"source\": 4, \"target\": 7}, {\"weight\": 8157, \"source\": 4, \"target\": 6}, {\"weight\": 4060, \"source\": 4, \"target\": 8}, {\"weight\": 11244, \"source\": 4, \"target\": 5}, {\"weight\": 17461, \"source\": 5, \"target\": 7}, {\"weight\": 15357, \"source\": 5, \"target\": 6}, {\"weight\": 7378, \"source\": 5, \"target\": 8}, {\"weight\": 3379, \"source\": 6, \"target\": 7}, {\"weight\": 8219, \"source\": 6, \"target\": 8}, {\"weight\": 10619, \"source\": 7, \"target\": 8}]}",
"id": 232,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTP, BFS, CTS, RDC, JNN, NOV, YQZ, BTT, JER\n- Travel distances (in kilometers) between each pair of airports:\nPTP to BTT: 9079\nPTP to YQZ: 7066\nPTP to CTS: 14573\nPTP to JER: 6923\nPTP to NOV: 11609\nPTP to JNN: 8937\nPTP to BFS: 7226\nPTP to RDC: 3205\nBFS to BTT: 10081\nBFS to YQZ: 7681\nBFS to CTS: 9682\nBFS to JER: 676\nBFS to NOV: 7888\nBFS to JNN: 3522\nBFS to RDC: 9081\nCTS to BTT: 11189\nCTS to YQZ: 8718\nCTS to JER: 9812\nCTS to NOV: 14396\nCTS to JNN: 12183\nCTS to RDC: 17778\nRDC to BTT: 12284\nRDC to YQZ: 10271\nRDC to JER: 8942\nRDC to NOV: 9113\nRDC to JNN: 12142\nJNN to BTT: 10557\nJNN to YQZ: 8157\nJNN to JER: 4060\nJNN to NOV: 11244\nNOV to BTT: 17461\nNOV to YQZ: 15357\nNOV to JER: 7378\nYQZ to BTT: 3379\nYQZ to JER: 8219\nBTT to JER: 10619\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIZ, MOF, NOB, LAZ, MDL, TAB, YKS, RSH, BNC\n- Travel distances (in kilometers) between each pair of airports:\nCIZ to YKS: 16114\nCIZ to NOB: 3589\nCIZ to MDL: 18597\nCIZ to RSH: 11303\nCIZ to LAZ: 3946\nCIZ to TAB: 2344\nCIZ to BNC: 11800\nCIZ to MOF: 21603\nMOF to YKS: 8767\nMOF to NOB: 19673\nMOF to MDL: 4759\nMOF to RSH: 16973\nMOF to LAZ: 20548\nMOF to TAB: 20320\nMOF to BNC: 14427\nNOB to YKS: 15448\nNOB to MDL: 17113\nNOB to RSH: 8515\nNOB to LAZ: 6770\nNOB to TAB: 2763\nNOB to BNC: 14545\nLAZ to YKS: 15492\nLAZ to MDL: 17413\nLAZ to RSH: 13873\nLAZ to TAB: 4734\nLAZ to BNC: 10360\nMDL to YKS: 5499\nMDL to RSH: 14505\nMDL to TAB: 16585\nMDL to BNC: 11879\nTAB to YKS: 13888\nTAB to RSH: 9566\nTAB to BNC: 12519\nYKS to RSH: 13612\nYKS to BNC: 13696\nRSH to BNC: 18397\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66225,
"style": "rule"
}
|
{
"exact_answer": 66225,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CIZ\", \"id\": 0}, {\"name\": \"MOF\", \"id\": 1}, {\"name\": \"NOB\", \"id\": 2}, {\"name\": \"LAZ\", \"id\": 3}, {\"name\": \"MDL\", \"id\": 4}, {\"name\": \"TAB\", \"id\": 5}, {\"name\": \"YKS\", \"id\": 6}, {\"name\": \"RSH\", \"id\": 7}, {\"name\": \"BNC\", \"id\": 8}], \"links\": [{\"weight\": 16114, \"source\": 0, \"target\": 6}, {\"weight\": 3589, \"source\": 0, \"target\": 2}, {\"weight\": 18597, \"source\": 0, \"target\": 4}, {\"weight\": 11303, \"source\": 0, \"target\": 7}, {\"weight\": 3946, \"source\": 0, \"target\": 3}, {\"weight\": 2344, \"source\": 0, \"target\": 5}, {\"weight\": 11800, \"source\": 0, \"target\": 8}, {\"weight\": 21603, \"source\": 0, \"target\": 1}, {\"weight\": 8767, \"source\": 1, \"target\": 6}, {\"weight\": 19673, \"source\": 1, \"target\": 2}, {\"weight\": 4759, \"source\": 1, \"target\": 4}, {\"weight\": 16973, \"source\": 1, \"target\": 7}, {\"weight\": 20548, \"source\": 1, \"target\": 3}, {\"weight\": 20320, \"source\": 1, \"target\": 5}, {\"weight\": 14427, \"source\": 1, \"target\": 8}, {\"weight\": 15448, \"source\": 2, \"target\": 6}, {\"weight\": 17113, \"source\": 2, \"target\": 4}, {\"weight\": 8515, \"source\": 2, \"target\": 7}, {\"weight\": 6770, \"source\": 2, \"target\": 3}, {\"weight\": 2763, \"source\": 2, \"target\": 5}, {\"weight\": 14545, \"source\": 2, \"target\": 8}, {\"weight\": 15492, \"source\": 3, \"target\": 6}, {\"weight\": 17413, \"source\": 3, \"target\": 4}, {\"weight\": 13873, \"source\": 3, \"target\": 7}, {\"weight\": 4734, \"source\": 3, \"target\": 5}, {\"weight\": 10360, \"source\": 3, \"target\": 8}, {\"weight\": 5499, \"source\": 4, \"target\": 6}, {\"weight\": 14505, \"source\": 4, \"target\": 7}, {\"weight\": 16585, \"source\": 4, \"target\": 5}, {\"weight\": 11879, \"source\": 4, \"target\": 8}, {\"weight\": 13888, \"source\": 5, \"target\": 6}, {\"weight\": 9566, \"source\": 5, \"target\": 7}, {\"weight\": 12519, \"source\": 5, \"target\": 8}, {\"weight\": 13612, \"source\": 6, \"target\": 7}, {\"weight\": 13696, \"source\": 6, \"target\": 8}, {\"weight\": 18397, \"source\": 7, \"target\": 8}]}",
"id": 233,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIZ, MOF, NOB, LAZ, MDL, TAB, YKS, RSH, BNC\n- Travel distances (in kilometers) between each pair of airports:\nCIZ to YKS: 16114\nCIZ to NOB: 3589\nCIZ to MDL: 18597\nCIZ to RSH: 11303\nCIZ to LAZ: 3946\nCIZ to TAB: 2344\nCIZ to BNC: 11800\nCIZ to MOF: 21603\nMOF to YKS: 8767\nMOF to NOB: 19673\nMOF to MDL: 4759\nMOF to RSH: 16973\nMOF to LAZ: 20548\nMOF to TAB: 20320\nMOF to BNC: 14427\nNOB to YKS: 15448\nNOB to MDL: 17113\nNOB to RSH: 8515\nNOB to LAZ: 6770\nNOB to TAB: 2763\nNOB to BNC: 14545\nLAZ to YKS: 15492\nLAZ to MDL: 17413\nLAZ to RSH: 13873\nLAZ to TAB: 4734\nLAZ to BNC: 10360\nMDL to YKS: 5499\nMDL to RSH: 14505\nMDL to TAB: 16585\nMDL to BNC: 11879\nTAB to YKS: 13888\nTAB to RSH: 9566\nTAB to BNC: 12519\nYKS to RSH: 13612\nYKS to BNC: 13696\nRSH to BNC: 18397\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ERN, LUZ, STR, CJL, CIF, PSO, VVO, YLW\n- Travel distances (in kilometers) between each pair of airports:\nZOS to YLW: 11542\nZOS to STR: 12913\nZOS to PSO: 5278\nZOS to ERN: 7336\nZOS to CIF: 19752\nZOS to VVO: 19372\nZOS to LUZ: 13895\nZOS to CJL: 17649\nERN to YLW: 9495\nERN to STR: 10738\nERN to PSO: 4674\nERN to CIF: 17756\nERN to VVO: 18138\nERN to LUZ: 11829\nERN to CJL: 16177\nLUZ to YLW: 8433\nLUZ to STR: 1363\nLUZ to PSO: 10735\nLUZ to CIF: 7832\nLUZ to VVO: 8228\nLUZ to CJL: 5551\nSTR to YLW: 8014\nSTR to PSO: 9639\nSTR to CIF: 8121\nSTR to VVO: 8465\nSTR to CJL: 5557\nCJL to YLW: 12665\nCJL to PSO: 15193\nCJL to CIF: 4482\nCJL to VVO: 5514\nCIF to YLW: 8673\nCIF to PSO: 15368\nCIF to VVO: 1418\nPSO to YLW: 7000\nPSO to VVO: 15583\nVVO to YLW: 8892\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52058,
"style": "rule"
}
|
{
"exact_answer": 52058,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZOS\", \"id\": 0}, {\"name\": \"ERN\", \"id\": 1}, {\"name\": \"LUZ\", \"id\": 2}, {\"name\": \"STR\", \"id\": 3}, {\"name\": \"CJL\", \"id\": 4}, {\"name\": \"CIF\", \"id\": 5}, {\"name\": \"PSO\", \"id\": 6}, {\"name\": \"VVO\", \"id\": 7}, {\"name\": \"YLW\", \"id\": 8}], \"links\": [{\"weight\": 11542, \"source\": 0, \"target\": 8}, {\"weight\": 12913, \"source\": 0, \"target\": 3}, {\"weight\": 5278, \"source\": 0, \"target\": 6}, {\"weight\": 7336, \"source\": 0, \"target\": 1}, {\"weight\": 19752, \"source\": 0, \"target\": 5}, {\"weight\": 19372, \"source\": 0, \"target\": 7}, {\"weight\": 13895, \"source\": 0, \"target\": 2}, {\"weight\": 17649, \"source\": 0, \"target\": 4}, {\"weight\": 9495, \"source\": 1, \"target\": 8}, {\"weight\": 10738, \"source\": 1, \"target\": 3}, {\"weight\": 4674, \"source\": 1, \"target\": 6}, {\"weight\": 17756, \"source\": 1, \"target\": 5}, {\"weight\": 18138, \"source\": 1, \"target\": 7}, {\"weight\": 11829, \"source\": 1, \"target\": 2}, {\"weight\": 16177, \"source\": 1, \"target\": 4}, {\"weight\": 8433, \"source\": 2, \"target\": 8}, {\"weight\": 1363, \"source\": 2, \"target\": 3}, {\"weight\": 10735, \"source\": 2, \"target\": 6}, {\"weight\": 7832, \"source\": 2, \"target\": 5}, {\"weight\": 8228, \"source\": 2, \"target\": 7}, {\"weight\": 5551, \"source\": 2, \"target\": 4}, {\"weight\": 8014, \"source\": 3, \"target\": 8}, {\"weight\": 9639, \"source\": 3, \"target\": 6}, {\"weight\": 8121, \"source\": 3, \"target\": 5}, {\"weight\": 8465, \"source\": 3, \"target\": 7}, {\"weight\": 5557, \"source\": 3, \"target\": 4}, {\"weight\": 12665, \"source\": 4, \"target\": 8}, {\"weight\": 15193, \"source\": 4, \"target\": 6}, {\"weight\": 4482, \"source\": 4, \"target\": 5}, {\"weight\": 5514, \"source\": 4, \"target\": 7}, {\"weight\": 8673, \"source\": 5, \"target\": 8}, {\"weight\": 15368, \"source\": 5, \"target\": 6}, {\"weight\": 1418, \"source\": 5, \"target\": 7}, {\"weight\": 7000, \"source\": 6, \"target\": 8}, {\"weight\": 15583, \"source\": 6, \"target\": 7}, {\"weight\": 8892, \"source\": 7, \"target\": 8}]}",
"id": 234,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ERN, LUZ, STR, CJL, CIF, PSO, VVO, YLW\n- Travel distances (in kilometers) between each pair of airports:\nZOS to YLW: 11542\nZOS to STR: 12913\nZOS to PSO: 5278\nZOS to ERN: 7336\nZOS to CIF: 19752\nZOS to VVO: 19372\nZOS to LUZ: 13895\nZOS to CJL: 17649\nERN to YLW: 9495\nERN to STR: 10738\nERN to PSO: 4674\nERN to CIF: 17756\nERN to VVO: 18138\nERN to LUZ: 11829\nERN to CJL: 16177\nLUZ to YLW: 8433\nLUZ to STR: 1363\nLUZ to PSO: 10735\nLUZ to CIF: 7832\nLUZ to VVO: 8228\nLUZ to CJL: 5551\nSTR to YLW: 8014\nSTR to PSO: 9639\nSTR to CIF: 8121\nSTR to VVO: 8465\nSTR to CJL: 5557\nCJL to YLW: 12665\nCJL to PSO: 15193\nCJL to CIF: 4482\nCJL to VVO: 5514\nCIF to YLW: 8673\nCIF to PSO: 15368\nCIF to VVO: 1418\nPSO to YLW: 7000\nPSO to VVO: 15583\nVVO to YLW: 8892\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SIT, GEL, BYN, BHQ, ITO, ABA, GAO, AXA, TKD\n- Travel distances (in kilometers) between each pair of airports:\nSIT to AXA: 7646\nSIT to GAO: 7030\nSIT to ITO: 5827\nSIT to ABA: 12592\nSIT to BYN: 11726\nSIT to GEL: 12889\nSIT to TKD: 13685\nSIT to BHQ: 14641\nGEL to AXA: 6203\nGEL to GAO: 8031\nGEL to ITO: 14342\nGEL to ABA: 16365\nGEL to BYN: 18122\nGEL to TKD: 7641\nGEL to BHQ: 14612\nBYN to AXA: 14227\nBYN to GAO: 15353\nBYN to ITO: 10041\nBYN to ABA: 3184\nBYN to TKD: 11602\nBYN to BHQ: 10706\nBHQ to AXA: 18367\nBHQ to GAO: 17720\nBHQ to ITO: 9448\nBHQ to ABA: 11634\nBHQ to TKD: 15716\nITO to AXA: 9681\nITO to GAO: 8668\nITO to ABA: 10517\nITO to TKD: 16325\nABA to AXA: 12470\nABA to GAO: 13767\nABA to TKD: 10157\nGAO to AXA: 2931\nGAO to TKD: 11549\nAXA to TKD: 9507\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63127,
"style": "rule"
}
|
{
"exact_answer": 63127,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SIT\", \"id\": 0}, {\"name\": \"GEL\", \"id\": 1}, {\"name\": \"BYN\", \"id\": 2}, {\"name\": \"BHQ\", \"id\": 3}, {\"name\": \"ITO\", \"id\": 4}, {\"name\": \"ABA\", \"id\": 5}, {\"name\": \"GAO\", \"id\": 6}, {\"name\": \"AXA\", \"id\": 7}, {\"name\": \"TKD\", \"id\": 8}], \"links\": [{\"weight\": 7646, \"source\": 0, \"target\": 7}, {\"weight\": 7030, \"source\": 0, \"target\": 6}, {\"weight\": 5827, \"source\": 0, \"target\": 4}, {\"weight\": 12592, \"source\": 0, \"target\": 5}, {\"weight\": 11726, \"source\": 0, \"target\": 2}, {\"weight\": 12889, \"source\": 0, \"target\": 1}, {\"weight\": 13685, \"source\": 0, \"target\": 8}, {\"weight\": 14641, \"source\": 0, \"target\": 3}, {\"weight\": 6203, \"source\": 1, \"target\": 7}, {\"weight\": 8031, \"source\": 1, \"target\": 6}, {\"weight\": 14342, \"source\": 1, \"target\": 4}, {\"weight\": 16365, \"source\": 1, \"target\": 5}, {\"weight\": 18122, \"source\": 1, \"target\": 2}, {\"weight\": 7641, \"source\": 1, \"target\": 8}, {\"weight\": 14612, \"source\": 1, \"target\": 3}, {\"weight\": 14227, \"source\": 2, \"target\": 7}, {\"weight\": 15353, \"source\": 2, \"target\": 6}, {\"weight\": 10041, \"source\": 2, \"target\": 4}, {\"weight\": 3184, \"source\": 2, \"target\": 5}, {\"weight\": 11602, \"source\": 2, \"target\": 8}, {\"weight\": 10706, \"source\": 2, \"target\": 3}, {\"weight\": 18367, \"source\": 3, \"target\": 7}, {\"weight\": 17720, \"source\": 3, \"target\": 6}, {\"weight\": 9448, \"source\": 3, \"target\": 4}, {\"weight\": 11634, \"source\": 3, \"target\": 5}, {\"weight\": 15716, \"source\": 3, \"target\": 8}, {\"weight\": 9681, \"source\": 4, \"target\": 7}, {\"weight\": 8668, \"source\": 4, \"target\": 6}, {\"weight\": 10517, \"source\": 4, \"target\": 5}, {\"weight\": 16325, \"source\": 4, \"target\": 8}, {\"weight\": 12470, \"source\": 5, \"target\": 7}, {\"weight\": 13767, \"source\": 5, \"target\": 6}, {\"weight\": 10157, \"source\": 5, \"target\": 8}, {\"weight\": 2931, \"source\": 6, \"target\": 7}, {\"weight\": 11549, \"source\": 6, \"target\": 8}, {\"weight\": 9507, \"source\": 7, \"target\": 8}]}",
"id": 235,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SIT, GEL, BYN, BHQ, ITO, ABA, GAO, AXA, TKD\n- Travel distances (in kilometers) between each pair of airports:\nSIT to AXA: 7646\nSIT to GAO: 7030\nSIT to ITO: 5827\nSIT to ABA: 12592\nSIT to BYN: 11726\nSIT to GEL: 12889\nSIT to TKD: 13685\nSIT to BHQ: 14641\nGEL to AXA: 6203\nGEL to GAO: 8031\nGEL to ITO: 14342\nGEL to ABA: 16365\nGEL to BYN: 18122\nGEL to TKD: 7641\nGEL to BHQ: 14612\nBYN to AXA: 14227\nBYN to GAO: 15353\nBYN to ITO: 10041\nBYN to ABA: 3184\nBYN to TKD: 11602\nBYN to BHQ: 10706\nBHQ to AXA: 18367\nBHQ to GAO: 17720\nBHQ to ITO: 9448\nBHQ to ABA: 11634\nBHQ to TKD: 15716\nITO to AXA: 9681\nITO to GAO: 8668\nITO to ABA: 10517\nITO to TKD: 16325\nABA to AXA: 12470\nABA to GAO: 13767\nABA to TKD: 10157\nGAO to AXA: 2931\nGAO to TKD: 11549\nAXA to TKD: 9507\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JUH, POA, SXM, PUW, JLR, WLG, NOV, NGE, MMO\n- Travel distances (in kilometers) between each pair of airports:\nJUH to SXM: 15115\nJUH to POA: 19128\nJUH to JLR: 4625\nJUH to PUW: 10134\nJUH to NOV: 12483\nJUH to WLG: 10279\nJUH to NGE: 11100\nJUH to MMO: 13990\nPOA to SXM: 5838\nPOA to JLR: 15479\nPOA to PUW: 10848\nPOA to NOV: 7836\nPOA to WLG: 12128\nPOA to NGE: 8566\nPOA to MMO: 5900\nSXM to JLR: 13963\nSXM to PUW: 6064\nSXM to NOV: 11868\nSXM to WLG: 16221\nSXM to NGE: 11022\nSXM to MMO: 6539\nPUW to JLR: 13555\nPUW to NOV: 14906\nPUW to WLG: 12187\nPUW to NGE: 13261\nPUW to MMO: 9481\nJLR to NOV: 8673\nJLR to WLG: 13308\nJLR to NGE: 7669\nJLR to MMO: 11096\nWLG to NOV: 16146\nWLG to NGE: 17608\nWLG to MMO: 17788\nNOV to NGE: 2800\nNOV to MMO: 5499\nNGE to MMO: 4557\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60861,
"style": "rule"
}
|
{
"exact_answer": 60861,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JUH\", \"id\": 0}, {\"name\": \"POA\", \"id\": 1}, {\"name\": \"SXM\", \"id\": 2}, {\"name\": \"PUW\", \"id\": 3}, {\"name\": \"JLR\", \"id\": 4}, {\"name\": \"WLG\", \"id\": 5}, {\"name\": \"NOV\", \"id\": 6}, {\"name\": \"NGE\", \"id\": 7}, {\"name\": \"MMO\", \"id\": 8}], \"links\": [{\"weight\": 15115, \"source\": 0, \"target\": 2}, {\"weight\": 19128, \"source\": 0, \"target\": 1}, {\"weight\": 4625, \"source\": 0, \"target\": 4}, {\"weight\": 10134, \"source\": 0, \"target\": 3}, {\"weight\": 12483, \"source\": 0, \"target\": 6}, {\"weight\": 10279, \"source\": 0, \"target\": 5}, {\"weight\": 11100, \"source\": 0, \"target\": 7}, {\"weight\": 13990, \"source\": 0, \"target\": 8}, {\"weight\": 5838, \"source\": 1, \"target\": 2}, {\"weight\": 15479, \"source\": 1, \"target\": 4}, {\"weight\": 10848, \"source\": 1, \"target\": 3}, {\"weight\": 7836, \"source\": 1, \"target\": 6}, {\"weight\": 12128, \"source\": 1, \"target\": 5}, {\"weight\": 8566, \"source\": 1, \"target\": 7}, {\"weight\": 5900, \"source\": 1, \"target\": 8}, {\"weight\": 13963, \"source\": 2, \"target\": 4}, {\"weight\": 6064, \"source\": 2, \"target\": 3}, {\"weight\": 11868, \"source\": 2, \"target\": 6}, {\"weight\": 16221, \"source\": 2, \"target\": 5}, {\"weight\": 11022, \"source\": 2, \"target\": 7}, {\"weight\": 6539, \"source\": 2, \"target\": 8}, {\"weight\": 13555, \"source\": 3, \"target\": 4}, {\"weight\": 14906, \"source\": 3, \"target\": 6}, {\"weight\": 12187, \"source\": 3, \"target\": 5}, {\"weight\": 13261, \"source\": 3, \"target\": 7}, {\"weight\": 9481, \"source\": 3, \"target\": 8}, {\"weight\": 8673, \"source\": 4, \"target\": 6}, {\"weight\": 13308, \"source\": 4, \"target\": 5}, {\"weight\": 7669, \"source\": 4, \"target\": 7}, {\"weight\": 11096, \"source\": 4, \"target\": 8}, {\"weight\": 16146, \"source\": 5, \"target\": 6}, {\"weight\": 17608, \"source\": 5, \"target\": 7}, {\"weight\": 17788, \"source\": 5, \"target\": 8}, {\"weight\": 2800, \"source\": 6, \"target\": 7}, {\"weight\": 5499, \"source\": 6, \"target\": 8}, {\"weight\": 4557, \"source\": 7, \"target\": 8}]}",
"id": 236,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JUH, POA, SXM, PUW, JLR, WLG, NOV, NGE, MMO\n- Travel distances (in kilometers) between each pair of airports:\nJUH to SXM: 15115\nJUH to POA: 19128\nJUH to JLR: 4625\nJUH to PUW: 10134\nJUH to NOV: 12483\nJUH to WLG: 10279\nJUH to NGE: 11100\nJUH to MMO: 13990\nPOA to SXM: 5838\nPOA to JLR: 15479\nPOA to PUW: 10848\nPOA to NOV: 7836\nPOA to WLG: 12128\nPOA to NGE: 8566\nPOA to MMO: 5900\nSXM to JLR: 13963\nSXM to PUW: 6064\nSXM to NOV: 11868\nSXM to WLG: 16221\nSXM to NGE: 11022\nSXM to MMO: 6539\nPUW to JLR: 13555\nPUW to NOV: 14906\nPUW to WLG: 12187\nPUW to NGE: 13261\nPUW to MMO: 9481\nJLR to NOV: 8673\nJLR to WLG: 13308\nJLR to NGE: 7669\nJLR to MMO: 11096\nWLG to NOV: 16146\nWLG to NGE: 17608\nWLG to MMO: 17788\nNOV to NGE: 2800\nNOV to MMO: 5499\nNGE to MMO: 4557\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLK, PBZ, YGJ, SKB, MDU, SNW, PNR, VAN, QJH\n- Travel distances (in kilometers) between each pair of airports:\nSLK to PBZ: 13966\nSLK to SNW: 14480\nSLK to SKB: 3238\nSLK to PNR: 10426\nSLK to YGJ: 11748\nSLK to QJH: 6199\nSLK to VAN: 9330\nSLK to MDU: 16715\nPBZ to SNW: 10868\nPBZ to SKB: 13354\nPBZ to PNR: 3942\nPBZ to YGJ: 14156\nPBZ to QJH: 13954\nPBZ to VAN: 8914\nPBZ to MDU: 14121\nYGJ to SNW: 4644\nYGJ to SKB: 14278\nYGJ to PNR: 13202\nYGJ to QJH: 12104\nYGJ to VAN: 9349\nYGJ to MDU: 6259\nSKB to SNW: 15978\nSKB to PNR: 11078\nSKB to QJH: 8753\nSKB to VAN: 10312\nSKB to MDU: 18621\nMDU to SNW: 7516\nMDU to PNR: 16059\nMDU to QJH: 17835\nMDU to VAN: 13962\nSNW to PNR: 10138\nSNW to QJH: 12247\nSNW to VAN: 7310\nPNR to QJH: 10276\nPNR to VAN: 6847\nVAN to QJH: 7390\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64181,
"style": "rule"
}
|
{
"exact_answer": 64181,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLK\", \"id\": 0}, {\"name\": \"PBZ\", \"id\": 1}, {\"name\": \"YGJ\", \"id\": 2}, {\"name\": \"SKB\", \"id\": 3}, {\"name\": \"MDU\", \"id\": 4}, {\"name\": \"SNW\", \"id\": 5}, {\"name\": \"PNR\", \"id\": 6}, {\"name\": \"VAN\", \"id\": 7}, {\"name\": \"QJH\", \"id\": 8}], \"links\": [{\"weight\": 13966, \"source\": 0, \"target\": 1}, {\"weight\": 14480, \"source\": 0, \"target\": 5}, {\"weight\": 3238, \"source\": 0, \"target\": 3}, {\"weight\": 10426, \"source\": 0, \"target\": 6}, {\"weight\": 11748, \"source\": 0, \"target\": 2}, {\"weight\": 6199, \"source\": 0, \"target\": 8}, {\"weight\": 9330, \"source\": 0, \"target\": 7}, {\"weight\": 16715, \"source\": 0, \"target\": 4}, {\"weight\": 10868, \"source\": 1, \"target\": 5}, {\"weight\": 13354, \"source\": 1, \"target\": 3}, {\"weight\": 3942, \"source\": 1, \"target\": 6}, {\"weight\": 14156, \"source\": 1, \"target\": 2}, {\"weight\": 13954, \"source\": 1, \"target\": 8}, {\"weight\": 8914, \"source\": 1, \"target\": 7}, {\"weight\": 14121, \"source\": 1, \"target\": 4}, {\"weight\": 4644, \"source\": 2, \"target\": 5}, {\"weight\": 14278, \"source\": 2, \"target\": 3}, {\"weight\": 13202, \"source\": 2, \"target\": 6}, {\"weight\": 12104, \"source\": 2, \"target\": 8}, {\"weight\": 9349, \"source\": 2, \"target\": 7}, {\"weight\": 6259, \"source\": 2, \"target\": 4}, {\"weight\": 15978, \"source\": 3, \"target\": 5}, {\"weight\": 11078, \"source\": 3, \"target\": 6}, {\"weight\": 8753, \"source\": 3, \"target\": 8}, {\"weight\": 10312, \"source\": 3, \"target\": 7}, {\"weight\": 18621, \"source\": 3, \"target\": 4}, {\"weight\": 7516, \"source\": 4, \"target\": 5}, {\"weight\": 16059, \"source\": 4, \"target\": 6}, {\"weight\": 17835, \"source\": 4, \"target\": 8}, {\"weight\": 13962, \"source\": 4, \"target\": 7}, {\"weight\": 10138, \"source\": 5, \"target\": 6}, {\"weight\": 12247, \"source\": 5, \"target\": 8}, {\"weight\": 7310, \"source\": 5, \"target\": 7}, {\"weight\": 10276, \"source\": 6, \"target\": 8}, {\"weight\": 6847, \"source\": 6, \"target\": 7}, {\"weight\": 7390, \"source\": 7, \"target\": 8}]}",
"id": 237,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLK, PBZ, YGJ, SKB, MDU, SNW, PNR, VAN, QJH\n- Travel distances (in kilometers) between each pair of airports:\nSLK to PBZ: 13966\nSLK to SNW: 14480\nSLK to SKB: 3238\nSLK to PNR: 10426\nSLK to YGJ: 11748\nSLK to QJH: 6199\nSLK to VAN: 9330\nSLK to MDU: 16715\nPBZ to SNW: 10868\nPBZ to SKB: 13354\nPBZ to PNR: 3942\nPBZ to YGJ: 14156\nPBZ to QJH: 13954\nPBZ to VAN: 8914\nPBZ to MDU: 14121\nYGJ to SNW: 4644\nYGJ to SKB: 14278\nYGJ to PNR: 13202\nYGJ to QJH: 12104\nYGJ to VAN: 9349\nYGJ to MDU: 6259\nSKB to SNW: 15978\nSKB to PNR: 11078\nSKB to QJH: 8753\nSKB to VAN: 10312\nSKB to MDU: 18621\nMDU to SNW: 7516\nMDU to PNR: 16059\nMDU to QJH: 17835\nMDU to VAN: 13962\nSNW to PNR: 10138\nSNW to QJH: 12247\nSNW to VAN: 7310\nPNR to QJH: 10276\nPNR to VAN: 6847\nVAN to QJH: 7390\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OAG, ERI, SJO, CGP, CTL, JIK, KGQ, SNE, ULO\n- Travel distances (in kilometers) between each pair of airports:\nOAG to CGP: 9053\nOAG to SJO: 16569\nOAG to JIK: 15617\nOAG to ERI: 15698\nOAG to ULO: 11425\nOAG to KGQ: 20290\nOAG to CTL: 1488\nOAG to SNE: 18934\nERI to CGP: 13784\nERI to SJO: 3673\nERI to JIK: 8775\nERI to ULO: 13172\nERI to KGQ: 7082\nERI to CTL: 15660\nERI to SNE: 6731\nSJO to CGP: 16964\nSJO to JIK: 11088\nSJO to ULO: 16323\nSJO to KGQ: 10151\nSJO to CTL: 16603\nSJO to SNE: 8469\nCGP to JIK: 6864\nCGP to ULO: 5860\nCGP to KGQ: 11650\nCGP to CTL: 8682\nCGP to SNE: 12222\nCTL to JIK: 15185\nCTL to ULO: 10950\nCTL to KGQ: 19656\nCTL to SNE: 20024\nJIK to ULO: 8125\nJIK to KGQ: 6468\nJIK to SNE: 5946\nKGQ to ULO: 11430\nKGQ to SNE: 8666\nSNE to ULO: 12519\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64955,
"style": "rule"
}
|
{
"exact_answer": 64955,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OAG\", \"id\": 0}, {\"name\": \"ERI\", \"id\": 1}, {\"name\": \"SJO\", \"id\": 2}, {\"name\": \"CGP\", \"id\": 3}, {\"name\": \"CTL\", \"id\": 4}, {\"name\": \"JIK\", \"id\": 5}, {\"name\": \"KGQ\", \"id\": 6}, {\"name\": \"SNE\", \"id\": 7}, {\"name\": \"ULO\", \"id\": 8}], \"links\": [{\"weight\": 9053, \"source\": 0, \"target\": 3}, {\"weight\": 16569, \"source\": 0, \"target\": 2}, {\"weight\": 15617, \"source\": 0, \"target\": 5}, {\"weight\": 15698, \"source\": 0, \"target\": 1}, {\"weight\": 11425, \"source\": 0, \"target\": 8}, {\"weight\": 20290, \"source\": 0, \"target\": 6}, {\"weight\": 1488, \"source\": 0, \"target\": 4}, {\"weight\": 18934, \"source\": 0, \"target\": 7}, {\"weight\": 13784, \"source\": 1, \"target\": 3}, {\"weight\": 3673, \"source\": 1, \"target\": 2}, {\"weight\": 8775, \"source\": 1, \"target\": 5}, {\"weight\": 13172, \"source\": 1, \"target\": 8}, {\"weight\": 7082, \"source\": 1, \"target\": 6}, {\"weight\": 15660, \"source\": 1, \"target\": 4}, {\"weight\": 6731, \"source\": 1, \"target\": 7}, {\"weight\": 16964, \"source\": 2, \"target\": 3}, {\"weight\": 11088, \"source\": 2, \"target\": 5}, {\"weight\": 16323, \"source\": 2, \"target\": 8}, {\"weight\": 10151, \"source\": 2, \"target\": 6}, {\"weight\": 16603, \"source\": 2, \"target\": 4}, {\"weight\": 8469, \"source\": 2, \"target\": 7}, {\"weight\": 6864, \"source\": 3, \"target\": 5}, {\"weight\": 5860, \"source\": 3, \"target\": 8}, {\"weight\": 11650, \"source\": 3, \"target\": 6}, {\"weight\": 8682, \"source\": 3, \"target\": 4}, {\"weight\": 12222, \"source\": 3, \"target\": 7}, {\"weight\": 15185, \"source\": 4, \"target\": 5}, {\"weight\": 10950, \"source\": 4, \"target\": 8}, {\"weight\": 19656, \"source\": 4, \"target\": 6}, {\"weight\": 20024, \"source\": 4, \"target\": 7}, {\"weight\": 8125, \"source\": 5, \"target\": 8}, {\"weight\": 6468, \"source\": 5, \"target\": 6}, {\"weight\": 5946, \"source\": 5, \"target\": 7}, {\"weight\": 11430, \"source\": 6, \"target\": 8}, {\"weight\": 8666, \"source\": 6, \"target\": 7}, {\"weight\": 12519, \"source\": 7, \"target\": 8}]}",
"id": 238,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OAG, ERI, SJO, CGP, CTL, JIK, KGQ, SNE, ULO\n- Travel distances (in kilometers) between each pair of airports:\nOAG to CGP: 9053\nOAG to SJO: 16569\nOAG to JIK: 15617\nOAG to ERI: 15698\nOAG to ULO: 11425\nOAG to KGQ: 20290\nOAG to CTL: 1488\nOAG to SNE: 18934\nERI to CGP: 13784\nERI to SJO: 3673\nERI to JIK: 8775\nERI to ULO: 13172\nERI to KGQ: 7082\nERI to CTL: 15660\nERI to SNE: 6731\nSJO to CGP: 16964\nSJO to JIK: 11088\nSJO to ULO: 16323\nSJO to KGQ: 10151\nSJO to CTL: 16603\nSJO to SNE: 8469\nCGP to JIK: 6864\nCGP to ULO: 5860\nCGP to KGQ: 11650\nCGP to CTL: 8682\nCGP to SNE: 12222\nCTL to JIK: 15185\nCTL to ULO: 10950\nCTL to KGQ: 19656\nCTL to SNE: 20024\nJIK to ULO: 8125\nJIK to KGQ: 6468\nJIK to SNE: 5946\nKGQ to ULO: 11430\nKGQ to SNE: 8666\nSNE to ULO: 12519\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PUM, PNA, RPR, KHI, TST, ROS, SRV, PTJ, MEC\n- Travel distances (in kilometers) between each pair of airports:\nPUM to RPR: 5348\nPUM to SRV: 16289\nPUM to ROS: 17778\nPUM to PNA: 13706\nPUM to KHI: 6766\nPUM to TST: 4191\nPUM to MEC: 20251\nPUM to PTJ: 6503\nPNA to RPR: 8505\nPNA to SRV: 12134\nPNA to ROS: 10427\nPNA to KHI: 6969\nPNA to TST: 11202\nPNA to MEC: 9308\nPNA to PTJ: 18917\nRPR to SRV: 15972\nRPR to ROS: 16522\nRPR to KHI: 1828\nRPR to TST: 3040\nRPR to MEC: 17127\nRPR to PTJ: 10686\nKHI to SRV: 16106\nKHI to ROS: 15134\nKHI to TST: 4632\nKHI to MEC: 15677\nKHI to PTJ: 12090\nTST to SRV: 15704\nTST to ROS: 19530\nTST to MEC: 19636\nTST to PTJ: 9420\nROS to SRV: 13866\nROS to MEC: 4475\nROS to PTJ: 14133\nSRV to MEC: 9971\nSRV to PTJ: 15079\nPTJ to MEC: 17150\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62483,
"style": "rule"
}
|
{
"exact_answer": 62483,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PUM\", \"id\": 0}, {\"name\": \"PNA\", \"id\": 1}, {\"name\": \"RPR\", \"id\": 2}, {\"name\": \"KHI\", \"id\": 3}, {\"name\": \"TST\", \"id\": 4}, {\"name\": \"ROS\", \"id\": 5}, {\"name\": \"SRV\", \"id\": 6}, {\"name\": \"PTJ\", \"id\": 7}, {\"name\": \"MEC\", \"id\": 8}], \"links\": [{\"weight\": 5348, \"source\": 0, \"target\": 2}, {\"weight\": 16289, \"source\": 0, \"target\": 6}, {\"weight\": 17778, \"source\": 0, \"target\": 5}, {\"weight\": 13706, \"source\": 0, \"target\": 1}, {\"weight\": 6766, \"source\": 0, \"target\": 3}, {\"weight\": 4191, \"source\": 0, \"target\": 4}, {\"weight\": 20251, \"source\": 0, \"target\": 8}, {\"weight\": 6503, \"source\": 0, \"target\": 7}, {\"weight\": 8505, \"source\": 1, \"target\": 2}, {\"weight\": 12134, \"source\": 1, \"target\": 6}, {\"weight\": 10427, \"source\": 1, \"target\": 5}, {\"weight\": 6969, \"source\": 1, \"target\": 3}, {\"weight\": 11202, \"source\": 1, \"target\": 4}, {\"weight\": 9308, \"source\": 1, \"target\": 8}, {\"weight\": 18917, \"source\": 1, \"target\": 7}, {\"weight\": 15972, \"source\": 2, \"target\": 6}, {\"weight\": 16522, \"source\": 2, \"target\": 5}, {\"weight\": 1828, \"source\": 2, \"target\": 3}, {\"weight\": 3040, \"source\": 2, \"target\": 4}, {\"weight\": 17127, \"source\": 2, \"target\": 8}, {\"weight\": 10686, \"source\": 2, \"target\": 7}, {\"weight\": 16106, \"source\": 3, \"target\": 6}, {\"weight\": 15134, \"source\": 3, \"target\": 5}, {\"weight\": 4632, \"source\": 3, \"target\": 4}, {\"weight\": 15677, \"source\": 3, \"target\": 8}, {\"weight\": 12090, \"source\": 3, \"target\": 7}, {\"weight\": 15704, \"source\": 4, \"target\": 6}, {\"weight\": 19530, \"source\": 4, \"target\": 5}, {\"weight\": 19636, \"source\": 4, \"target\": 8}, {\"weight\": 9420, \"source\": 4, \"target\": 7}, {\"weight\": 13866, \"source\": 5, \"target\": 6}, {\"weight\": 4475, \"source\": 5, \"target\": 8}, {\"weight\": 14133, \"source\": 5, \"target\": 7}, {\"weight\": 9971, \"source\": 6, \"target\": 8}, {\"weight\": 15079, \"source\": 6, \"target\": 7}, {\"weight\": 17150, \"source\": 7, \"target\": 8}]}",
"id": 239,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PUM, PNA, RPR, KHI, TST, ROS, SRV, PTJ, MEC\n- Travel distances (in kilometers) between each pair of airports:\nPUM to RPR: 5348\nPUM to SRV: 16289\nPUM to ROS: 17778\nPUM to PNA: 13706\nPUM to KHI: 6766\nPUM to TST: 4191\nPUM to MEC: 20251\nPUM to PTJ: 6503\nPNA to RPR: 8505\nPNA to SRV: 12134\nPNA to ROS: 10427\nPNA to KHI: 6969\nPNA to TST: 11202\nPNA to MEC: 9308\nPNA to PTJ: 18917\nRPR to SRV: 15972\nRPR to ROS: 16522\nRPR to KHI: 1828\nRPR to TST: 3040\nRPR to MEC: 17127\nRPR to PTJ: 10686\nKHI to SRV: 16106\nKHI to ROS: 15134\nKHI to TST: 4632\nKHI to MEC: 15677\nKHI to PTJ: 12090\nTST to SRV: 15704\nTST to ROS: 19530\nTST to MEC: 19636\nTST to PTJ: 9420\nROS to SRV: 13866\nROS to MEC: 4475\nROS to PTJ: 14133\nSRV to MEC: 9971\nSRV to PTJ: 15079\nPTJ to MEC: 17150\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, RAR, RFD, TNJ, PIH, SNW, MAJ, BHJ, VAO\n- Travel distances (in kilometers) between each pair of airports:\nAAL to SNW: 8674\nAAL to BHJ: 7294\nAAL to PIH: 8471\nAAL to RFD: 9199\nAAL to TNJ: 11895\nAAL to RAR: 16549\nAAL to VAO: 15476\nAAL to MAJ: 14419\nRAR to SNW: 13370\nRAR to BHJ: 15766\nRAR to PIH: 8725\nRAR to RFD: 10252\nRAR to TNJ: 11322\nRAR to VAO: 6784\nRAR to MAJ: 8014\nRFD to SNW: 15913\nRFD to BHJ: 16247\nRFD to PIH: 3169\nRFD to TNJ: 17835\nRFD to VAO: 13951\nRFD to MAJ: 10445\nTNJ to SNW: 3890\nTNJ to BHJ: 6142\nTNJ to PIH: 15650\nTNJ to VAO: 6975\nTNJ to MAJ: 9393\nPIH to SNW: 13516\nPIH to BHJ: 15372\nPIH to VAO: 12424\nPIH to MAJ: 8721\nSNW to BHJ: 3522\nSNW to VAO: 8637\nSNW to MAJ: 8839\nMAJ to BHJ: 11468\nMAJ to VAO: 5187\nBHJ to VAO: 11084\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55975,
"style": "rule"
}
|
{
"exact_answer": 55975,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAL\", \"id\": 0}, {\"name\": \"RAR\", \"id\": 1}, {\"name\": \"RFD\", \"id\": 2}, {\"name\": \"TNJ\", \"id\": 3}, {\"name\": \"PIH\", \"id\": 4}, {\"name\": \"SNW\", \"id\": 5}, {\"name\": \"MAJ\", \"id\": 6}, {\"name\": \"BHJ\", \"id\": 7}, {\"name\": \"VAO\", \"id\": 8}], \"links\": [{\"weight\": 8674, \"source\": 0, \"target\": 5}, {\"weight\": 7294, \"source\": 0, \"target\": 7}, {\"weight\": 8471, \"source\": 0, \"target\": 4}, {\"weight\": 9199, \"source\": 0, \"target\": 2}, {\"weight\": 11895, \"source\": 0, \"target\": 3}, {\"weight\": 16549, \"source\": 0, \"target\": 1}, {\"weight\": 15476, \"source\": 0, \"target\": 8}, {\"weight\": 14419, \"source\": 0, \"target\": 6}, {\"weight\": 13370, \"source\": 1, \"target\": 5}, {\"weight\": 15766, \"source\": 1, \"target\": 7}, {\"weight\": 8725, \"source\": 1, \"target\": 4}, {\"weight\": 10252, \"source\": 1, \"target\": 2}, {\"weight\": 11322, \"source\": 1, \"target\": 3}, {\"weight\": 6784, \"source\": 1, \"target\": 8}, {\"weight\": 8014, \"source\": 1, \"target\": 6}, {\"weight\": 15913, \"source\": 2, \"target\": 5}, {\"weight\": 16247, \"source\": 2, \"target\": 7}, {\"weight\": 3169, \"source\": 2, \"target\": 4}, {\"weight\": 17835, \"source\": 2, \"target\": 3}, {\"weight\": 13951, \"source\": 2, \"target\": 8}, {\"weight\": 10445, \"source\": 2, \"target\": 6}, {\"weight\": 3890, \"source\": 3, \"target\": 5}, {\"weight\": 6142, \"source\": 3, \"target\": 7}, {\"weight\": 15650, \"source\": 3, \"target\": 4}, {\"weight\": 6975, \"source\": 3, \"target\": 8}, {\"weight\": 9393, \"source\": 3, \"target\": 6}, {\"weight\": 13516, \"source\": 4, \"target\": 5}, {\"weight\": 15372, \"source\": 4, \"target\": 7}, {\"weight\": 12424, \"source\": 4, \"target\": 8}, {\"weight\": 8721, \"source\": 4, \"target\": 6}, {\"weight\": 3522, \"source\": 5, \"target\": 7}, {\"weight\": 8637, \"source\": 5, \"target\": 8}, {\"weight\": 8839, \"source\": 5, \"target\": 6}, {\"weight\": 11468, \"source\": 6, \"target\": 7}, {\"weight\": 5187, \"source\": 6, \"target\": 8}, {\"weight\": 11084, \"source\": 7, \"target\": 8}]}",
"id": 240,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, RAR, RFD, TNJ, PIH, SNW, MAJ, BHJ, VAO\n- Travel distances (in kilometers) between each pair of airports:\nAAL to SNW: 8674\nAAL to BHJ: 7294\nAAL to PIH: 8471\nAAL to RFD: 9199\nAAL to TNJ: 11895\nAAL to RAR: 16549\nAAL to VAO: 15476\nAAL to MAJ: 14419\nRAR to SNW: 13370\nRAR to BHJ: 15766\nRAR to PIH: 8725\nRAR to RFD: 10252\nRAR to TNJ: 11322\nRAR to VAO: 6784\nRAR to MAJ: 8014\nRFD to SNW: 15913\nRFD to BHJ: 16247\nRFD to PIH: 3169\nRFD to TNJ: 17835\nRFD to VAO: 13951\nRFD to MAJ: 10445\nTNJ to SNW: 3890\nTNJ to BHJ: 6142\nTNJ to PIH: 15650\nTNJ to VAO: 6975\nTNJ to MAJ: 9393\nPIH to SNW: 13516\nPIH to BHJ: 15372\nPIH to VAO: 12424\nPIH to MAJ: 8721\nSNW to BHJ: 3522\nSNW to VAO: 8637\nSNW to MAJ: 8839\nMAJ to BHJ: 11468\nMAJ to VAO: 5187\nBHJ to VAO: 11084\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, AES, MPL, AEY, LBV, NUL, NKG, SDD, ESC\n- Travel distances (in kilometers) between each pair of airports:\nLGI to MPL: 8244\nLGI to NKG: 13890\nLGI to NUL: 7887\nLGI to LBV: 11487\nLGI to AES: 7944\nLGI to ESC: 2792\nLGI to SDD: 12506\nLGI to AEY: 9283\nAES to MPL: 2129\nAES to NKG: 8392\nAES to NUL: 10499\nAES to LBV: 6932\nAES to ESC: 6749\nAES to SDD: 8654\nAES to AEY: 4822\nMPL to NKG: 9433\nMPL to NUL: 11586\nMPL to LBV: 5577\nMPL to ESC: 7451\nMPL to SDD: 7372\nMPL to AEY: 5909\nAEY to NKG: 12777\nAEY to NUL: 11831\nAEY to LBV: 10724\nAEY to ESC: 8081\nAEY to SDD: 12482\nLBV to NKG: 12008\nLBV to NUL: 15995\nLBV to ESC: 10709\nLBV to SDD: 2066\nNUL to NKG: 12257\nNUL to ESC: 6280\nNUL to SDD: 17817\nNKG to ESC: 12086\nNKG to SDD: 12752\nSDD to ESC: 12577\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57958,
"style": "rule"
}
|
{
"exact_answer": 57958,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LGI\", \"id\": 0}, {\"name\": \"AES\", \"id\": 1}, {\"name\": \"MPL\", \"id\": 2}, {\"name\": \"AEY\", \"id\": 3}, {\"name\": \"LBV\", \"id\": 4}, {\"name\": \"NUL\", \"id\": 5}, {\"name\": \"NKG\", \"id\": 6}, {\"name\": \"SDD\", \"id\": 7}, {\"name\": \"ESC\", \"id\": 8}], \"links\": [{\"weight\": 8244, \"source\": 0, \"target\": 2}, {\"weight\": 13890, \"source\": 0, \"target\": 6}, {\"weight\": 7887, \"source\": 0, \"target\": 5}, {\"weight\": 11487, \"source\": 0, \"target\": 4}, {\"weight\": 7944, \"source\": 0, \"target\": 1}, {\"weight\": 2792, \"source\": 0, \"target\": 8}, {\"weight\": 12506, \"source\": 0, \"target\": 7}, {\"weight\": 9283, \"source\": 0, \"target\": 3}, {\"weight\": 2129, \"source\": 1, \"target\": 2}, {\"weight\": 8392, \"source\": 1, \"target\": 6}, {\"weight\": 10499, \"source\": 1, \"target\": 5}, {\"weight\": 6932, \"source\": 1, \"target\": 4}, {\"weight\": 6749, \"source\": 1, \"target\": 8}, {\"weight\": 8654, \"source\": 1, \"target\": 7}, {\"weight\": 4822, \"source\": 1, \"target\": 3}, {\"weight\": 9433, \"source\": 2, \"target\": 6}, {\"weight\": 11586, \"source\": 2, \"target\": 5}, {\"weight\": 5577, \"source\": 2, \"target\": 4}, {\"weight\": 7451, \"source\": 2, \"target\": 8}, {\"weight\": 7372, \"source\": 2, \"target\": 7}, {\"weight\": 5909, \"source\": 2, \"target\": 3}, {\"weight\": 12777, \"source\": 3, \"target\": 6}, {\"weight\": 11831, \"source\": 3, \"target\": 5}, {\"weight\": 10724, \"source\": 3, \"target\": 4}, {\"weight\": 8081, \"source\": 3, \"target\": 8}, {\"weight\": 12482, \"source\": 3, \"target\": 7}, {\"weight\": 12008, \"source\": 4, \"target\": 6}, {\"weight\": 15995, \"source\": 4, \"target\": 5}, {\"weight\": 10709, \"source\": 4, \"target\": 8}, {\"weight\": 2066, \"source\": 4, \"target\": 7}, {\"weight\": 12257, \"source\": 5, \"target\": 6}, {\"weight\": 6280, \"source\": 5, \"target\": 8}, {\"weight\": 17817, \"source\": 5, \"target\": 7}, {\"weight\": 12086, \"source\": 6, \"target\": 8}, {\"weight\": 12752, \"source\": 6, \"target\": 7}, {\"weight\": 12577, \"source\": 7, \"target\": 8}]}",
"id": 241,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, AES, MPL, AEY, LBV, NUL, NKG, SDD, ESC\n- Travel distances (in kilometers) between each pair of airports:\nLGI to MPL: 8244\nLGI to NKG: 13890\nLGI to NUL: 7887\nLGI to LBV: 11487\nLGI to AES: 7944\nLGI to ESC: 2792\nLGI to SDD: 12506\nLGI to AEY: 9283\nAES to MPL: 2129\nAES to NKG: 8392\nAES to NUL: 10499\nAES to LBV: 6932\nAES to ESC: 6749\nAES to SDD: 8654\nAES to AEY: 4822\nMPL to NKG: 9433\nMPL to NUL: 11586\nMPL to LBV: 5577\nMPL to ESC: 7451\nMPL to SDD: 7372\nMPL to AEY: 5909\nAEY to NKG: 12777\nAEY to NUL: 11831\nAEY to LBV: 10724\nAEY to ESC: 8081\nAEY to SDD: 12482\nLBV to NKG: 12008\nLBV to NUL: 15995\nLBV to ESC: 10709\nLBV to SDD: 2066\nNUL to NKG: 12257\nNUL to ESC: 6280\nNUL to SDD: 17817\nNKG to ESC: 12086\nNKG to SDD: 12752\nSDD to ESC: 12577\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NAO, HOV, LOP, VEL, WMN, WBM, LYR, SVL, KOS\n- Travel distances (in kilometers) between each pair of airports:\nNAO to LOP: 4787\nNAO to SVL: 7166\nNAO to VEL: 11390\nNAO to LYR: 9266\nNAO to KOS: 2325\nNAO to WMN: 9219\nNAO to WBM: 6844\nNAO to HOV: 7997\nHOV to LOP: 12096\nHOV to SVL: 1389\nHOV to VEL: 8238\nHOV to LYR: 2200\nHOV to KOS: 9665\nHOV to WMN: 9922\nHOV to WBM: 14541\nLOP to SVL: 11265\nLOP to VEL: 14695\nLOP to LYR: 13136\nLOP to KOS: 3423\nLOP to WMN: 8746\nLOP to WBM: 4198\nVEL to SVL: 9258\nVEL to LYR: 9899\nVEL to KOS: 13495\nVEL to WMN: 17242\nVEL to WBM: 13999\nWMN to SVL: 9547\nWMN to LYR: 11401\nWMN to KOS: 7951\nWMN to WBM: 11959\nWBM to SVL: 13710\nWBM to LYR: 15657\nWBM to KOS: 6663\nLYR to SVL: 2750\nLYR to KOS: 10705\nSVL to KOS: 8834\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55899,
"style": "rule"
}
|
{
"exact_answer": 55899,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NAO\", \"id\": 0}, {\"name\": \"HOV\", \"id\": 1}, {\"name\": \"LOP\", \"id\": 2}, {\"name\": \"VEL\", \"id\": 3}, {\"name\": \"WMN\", \"id\": 4}, {\"name\": \"WBM\", \"id\": 5}, {\"name\": \"LYR\", \"id\": 6}, {\"name\": \"SVL\", \"id\": 7}, {\"name\": \"KOS\", \"id\": 8}], \"links\": [{\"weight\": 4787, \"source\": 0, \"target\": 2}, {\"weight\": 7166, \"source\": 0, \"target\": 7}, {\"weight\": 11390, \"source\": 0, \"target\": 3}, {\"weight\": 9266, \"source\": 0, \"target\": 6}, {\"weight\": 2325, \"source\": 0, \"target\": 8}, {\"weight\": 9219, \"source\": 0, \"target\": 4}, {\"weight\": 6844, \"source\": 0, \"target\": 5}, {\"weight\": 7997, \"source\": 0, \"target\": 1}, {\"weight\": 12096, \"source\": 1, \"target\": 2}, {\"weight\": 1389, \"source\": 1, \"target\": 7}, {\"weight\": 8238, \"source\": 1, \"target\": 3}, {\"weight\": 2200, \"source\": 1, \"target\": 6}, {\"weight\": 9665, \"source\": 1, \"target\": 8}, {\"weight\": 9922, \"source\": 1, \"target\": 4}, {\"weight\": 14541, \"source\": 1, \"target\": 5}, {\"weight\": 11265, \"source\": 2, \"target\": 7}, {\"weight\": 14695, \"source\": 2, \"target\": 3}, {\"weight\": 13136, \"source\": 2, \"target\": 6}, {\"weight\": 3423, \"source\": 2, \"target\": 8}, {\"weight\": 8746, \"source\": 2, \"target\": 4}, {\"weight\": 4198, \"source\": 2, \"target\": 5}, {\"weight\": 9258, \"source\": 3, \"target\": 7}, {\"weight\": 9899, \"source\": 3, \"target\": 6}, {\"weight\": 13495, \"source\": 3, \"target\": 8}, {\"weight\": 17242, \"source\": 3, \"target\": 4}, {\"weight\": 13999, \"source\": 3, \"target\": 5}, {\"weight\": 9547, \"source\": 4, \"target\": 7}, {\"weight\": 11401, \"source\": 4, \"target\": 6}, {\"weight\": 7951, \"source\": 4, \"target\": 8}, {\"weight\": 11959, \"source\": 4, \"target\": 5}, {\"weight\": 13710, \"source\": 5, \"target\": 7}, {\"weight\": 15657, \"source\": 5, \"target\": 6}, {\"weight\": 6663, \"source\": 5, \"target\": 8}, {\"weight\": 2750, \"source\": 6, \"target\": 7}, {\"weight\": 10705, \"source\": 6, \"target\": 8}, {\"weight\": 8834, \"source\": 7, \"target\": 8}]}",
"id": 242,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NAO, HOV, LOP, VEL, WMN, WBM, LYR, SVL, KOS\n- Travel distances (in kilometers) between each pair of airports:\nNAO to LOP: 4787\nNAO to SVL: 7166\nNAO to VEL: 11390\nNAO to LYR: 9266\nNAO to KOS: 2325\nNAO to WMN: 9219\nNAO to WBM: 6844\nNAO to HOV: 7997\nHOV to LOP: 12096\nHOV to SVL: 1389\nHOV to VEL: 8238\nHOV to LYR: 2200\nHOV to KOS: 9665\nHOV to WMN: 9922\nHOV to WBM: 14541\nLOP to SVL: 11265\nLOP to VEL: 14695\nLOP to LYR: 13136\nLOP to KOS: 3423\nLOP to WMN: 8746\nLOP to WBM: 4198\nVEL to SVL: 9258\nVEL to LYR: 9899\nVEL to KOS: 13495\nVEL to WMN: 17242\nVEL to WBM: 13999\nWMN to SVL: 9547\nWMN to LYR: 11401\nWMN to KOS: 7951\nWMN to WBM: 11959\nWBM to SVL: 13710\nWBM to LYR: 15657\nWBM to KOS: 6663\nLYR to SVL: 2750\nLYR to KOS: 10705\nSVL to KOS: 8834\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, GTR, MBJ, EMA, IVC, IUI, LEN, LBA, AEP\n- Travel distances (in kilometers) between each pair of airports:\nKLO to AEP: 18796\nKLO to MBJ: 16185\nKLO to LBA: 11102\nKLO to GTR: 14769\nKLO to EMA: 11127\nKLO to IUI: 14186\nKLO to LEN: 12222\nKLO to IVC: 8663\nGTR to AEP: 8562\nGTR to MBJ: 2188\nGTR to LBA: 7014\nGTR to EMA: 7043\nGTR to IUI: 8179\nGTR to LEN: 8411\nGTR to IVC: 15205\nMBJ to AEP: 6481\nMBJ to LBA: 7901\nMBJ to EMA: 7930\nMBJ to IUI: 9096\nMBJ to LEN: 8713\nMBJ to IVC: 16082\nEMA to AEP: 11345\nEMA to LBA: 643\nEMA to IUI: 4181\nEMA to LEN: 1962\nEMA to IVC: 19545\nIVC to AEP: 12007\nIVC to LBA: 19520\nIVC to IUI: 20739\nIVC to LEN: 20349\nIUI to AEP: 15323\nIUI to LBA: 4072\nIUI to LEN: 6092\nLEN to AEP: 11113\nLEN to LBA: 2079\nLBA to AEP: 11431\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56417,
"style": "rule"
}
|
{
"exact_answer": 56417,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLO\", \"id\": 0}, {\"name\": \"GTR\", \"id\": 1}, {\"name\": \"MBJ\", \"id\": 2}, {\"name\": \"EMA\", \"id\": 3}, {\"name\": \"IVC\", \"id\": 4}, {\"name\": \"IUI\", \"id\": 5}, {\"name\": \"LEN\", \"id\": 6}, {\"name\": \"LBA\", \"id\": 7}, {\"name\": \"AEP\", \"id\": 8}], \"links\": [{\"weight\": 18796, \"source\": 0, \"target\": 8}, {\"weight\": 16185, \"source\": 0, \"target\": 2}, {\"weight\": 11102, \"source\": 0, \"target\": 7}, {\"weight\": 14769, \"source\": 0, \"target\": 1}, {\"weight\": 11127, \"source\": 0, \"target\": 3}, {\"weight\": 14186, \"source\": 0, \"target\": 5}, {\"weight\": 12222, \"source\": 0, \"target\": 6}, {\"weight\": 8663, \"source\": 0, \"target\": 4}, {\"weight\": 8562, \"source\": 1, \"target\": 8}, {\"weight\": 2188, \"source\": 1, \"target\": 2}, {\"weight\": 7014, \"source\": 1, \"target\": 7}, {\"weight\": 7043, \"source\": 1, \"target\": 3}, {\"weight\": 8179, \"source\": 1, \"target\": 5}, {\"weight\": 8411, \"source\": 1, \"target\": 6}, {\"weight\": 15205, \"source\": 1, \"target\": 4}, {\"weight\": 6481, \"source\": 2, \"target\": 8}, {\"weight\": 7901, \"source\": 2, \"target\": 7}, {\"weight\": 7930, \"source\": 2, \"target\": 3}, {\"weight\": 9096, \"source\": 2, \"target\": 5}, {\"weight\": 8713, \"source\": 2, \"target\": 6}, {\"weight\": 16082, \"source\": 2, \"target\": 4}, {\"weight\": 11345, \"source\": 3, \"target\": 8}, {\"weight\": 643, \"source\": 3, \"target\": 7}, {\"weight\": 4181, \"source\": 3, \"target\": 5}, {\"weight\": 1962, \"source\": 3, \"target\": 6}, {\"weight\": 19545, \"source\": 3, \"target\": 4}, {\"weight\": 12007, \"source\": 4, \"target\": 8}, {\"weight\": 19520, \"source\": 4, \"target\": 7}, {\"weight\": 20739, \"source\": 4, \"target\": 5}, {\"weight\": 20349, \"source\": 4, \"target\": 6}, {\"weight\": 15323, \"source\": 5, \"target\": 8}, {\"weight\": 4072, \"source\": 5, \"target\": 7}, {\"weight\": 6092, \"source\": 5, \"target\": 6}, {\"weight\": 11113, \"source\": 6, \"target\": 8}, {\"weight\": 2079, \"source\": 6, \"target\": 7}, {\"weight\": 11431, \"source\": 7, \"target\": 8}]}",
"id": 243,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, GTR, MBJ, EMA, IVC, IUI, LEN, LBA, AEP\n- Travel distances (in kilometers) between each pair of airports:\nKLO to AEP: 18796\nKLO to MBJ: 16185\nKLO to LBA: 11102\nKLO to GTR: 14769\nKLO to EMA: 11127\nKLO to IUI: 14186\nKLO to LEN: 12222\nKLO to IVC: 8663\nGTR to AEP: 8562\nGTR to MBJ: 2188\nGTR to LBA: 7014\nGTR to EMA: 7043\nGTR to IUI: 8179\nGTR to LEN: 8411\nGTR to IVC: 15205\nMBJ to AEP: 6481\nMBJ to LBA: 7901\nMBJ to EMA: 7930\nMBJ to IUI: 9096\nMBJ to LEN: 8713\nMBJ to IVC: 16082\nEMA to AEP: 11345\nEMA to LBA: 643\nEMA to IUI: 4181\nEMA to LEN: 1962\nEMA to IVC: 19545\nIVC to AEP: 12007\nIVC to LBA: 19520\nIVC to IUI: 20739\nIVC to LEN: 20349\nIUI to AEP: 15323\nIUI to LBA: 4072\nIUI to LEN: 6092\nLEN to AEP: 11113\nLEN to LBA: 2079\nLBA to AEP: 11431\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, AJF, WMR, CHC, GAJ, LAP, BHD, YEG, DDG\n- Travel distances (in kilometers) between each pair of airports:\nBEW to YEG: 15888\nBEW to LAP: 17126\nBEW to BHD: 9596\nBEW to CHC: 14130\nBEW to DDG: 11997\nBEW to GAJ: 13760\nBEW to WMR: 3550\nBEW to AJF: 5727\nAJF to YEG: 12323\nAJF to LAP: 15111\nAJF to BHD: 6136\nAJF to CHC: 15707\nAJF to DDG: 8114\nAJF to GAJ: 9865\nAJF to WMR: 6035\nWMR to YEG: 16314\nWMR to LAP: 18489\nWMR to BHD: 10031\nWMR to CHC: 12161\nWMR to DDG: 10888\nWMR to GAJ: 12006\nCHC to YEG: 12913\nCHC to LAP: 13010\nCHC to BHD: 19186\nCHC to DDG: 10964\nCHC to GAJ: 10377\nGAJ to YEG: 8689\nGAJ to LAP: 10914\nGAJ to BHD: 10297\nGAJ to DDG: 2591\nLAP to YEG: 3603\nLAP to BHD: 9215\nLAP to DDG: 12444\nBHD to YEG: 6434\nBHD to DDG: 8878\nYEG to DDG: 9951\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62080,
"style": "rule"
}
|
{
"exact_answer": 62080,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BEW\", \"id\": 0}, {\"name\": \"AJF\", \"id\": 1}, {\"name\": \"WMR\", \"id\": 2}, {\"name\": \"CHC\", \"id\": 3}, {\"name\": \"GAJ\", \"id\": 4}, {\"name\": \"LAP\", \"id\": 5}, {\"name\": \"BHD\", \"id\": 6}, {\"name\": \"YEG\", \"id\": 7}, {\"name\": \"DDG\", \"id\": 8}], \"links\": [{\"weight\": 15888, \"source\": 0, \"target\": 7}, {\"weight\": 17126, \"source\": 0, \"target\": 5}, {\"weight\": 9596, \"source\": 0, \"target\": 6}, {\"weight\": 14130, \"source\": 0, \"target\": 3}, {\"weight\": 11997, \"source\": 0, \"target\": 8}, {\"weight\": 13760, \"source\": 0, \"target\": 4}, {\"weight\": 3550, \"source\": 0, \"target\": 2}, {\"weight\": 5727, \"source\": 0, \"target\": 1}, {\"weight\": 12323, \"source\": 1, \"target\": 7}, {\"weight\": 15111, \"source\": 1, \"target\": 5}, {\"weight\": 6136, \"source\": 1, \"target\": 6}, {\"weight\": 15707, \"source\": 1, \"target\": 3}, {\"weight\": 8114, \"source\": 1, \"target\": 8}, {\"weight\": 9865, \"source\": 1, \"target\": 4}, {\"weight\": 6035, \"source\": 1, \"target\": 2}, {\"weight\": 16314, \"source\": 2, \"target\": 7}, {\"weight\": 18489, \"source\": 2, \"target\": 5}, {\"weight\": 10031, \"source\": 2, \"target\": 6}, {\"weight\": 12161, \"source\": 2, \"target\": 3}, {\"weight\": 10888, \"source\": 2, \"target\": 8}, {\"weight\": 12006, \"source\": 2, \"target\": 4}, {\"weight\": 12913, \"source\": 3, \"target\": 7}, {\"weight\": 13010, \"source\": 3, \"target\": 5}, {\"weight\": 19186, \"source\": 3, \"target\": 6}, {\"weight\": 10964, \"source\": 3, \"target\": 8}, {\"weight\": 10377, \"source\": 3, \"target\": 4}, {\"weight\": 8689, \"source\": 4, \"target\": 7}, {\"weight\": 10914, \"source\": 4, \"target\": 5}, {\"weight\": 10297, \"source\": 4, \"target\": 6}, {\"weight\": 2591, \"source\": 4, \"target\": 8}, {\"weight\": 3603, \"source\": 5, \"target\": 7}, {\"weight\": 9215, \"source\": 5, \"target\": 6}, {\"weight\": 12444, \"source\": 5, \"target\": 8}, {\"weight\": 6434, \"source\": 6, \"target\": 7}, {\"weight\": 8878, \"source\": 6, \"target\": 8}, {\"weight\": 9951, \"source\": 7, \"target\": 8}]}",
"id": 244,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, AJF, WMR, CHC, GAJ, LAP, BHD, YEG, DDG\n- Travel distances (in kilometers) between each pair of airports:\nBEW to YEG: 15888\nBEW to LAP: 17126\nBEW to BHD: 9596\nBEW to CHC: 14130\nBEW to DDG: 11997\nBEW to GAJ: 13760\nBEW to WMR: 3550\nBEW to AJF: 5727\nAJF to YEG: 12323\nAJF to LAP: 15111\nAJF to BHD: 6136\nAJF to CHC: 15707\nAJF to DDG: 8114\nAJF to GAJ: 9865\nAJF to WMR: 6035\nWMR to YEG: 16314\nWMR to LAP: 18489\nWMR to BHD: 10031\nWMR to CHC: 12161\nWMR to DDG: 10888\nWMR to GAJ: 12006\nCHC to YEG: 12913\nCHC to LAP: 13010\nCHC to BHD: 19186\nCHC to DDG: 10964\nCHC to GAJ: 10377\nGAJ to YEG: 8689\nGAJ to LAP: 10914\nGAJ to BHD: 10297\nGAJ to DDG: 2591\nLAP to YEG: 3603\nLAP to BHD: 9215\nLAP to DDG: 12444\nBHD to YEG: 6434\nBHD to DDG: 8878\nYEG to DDG: 9951\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: QUV, TSH, DCN, DOU, DMM, MXL, MEB, TTA, CBR\n- Travel distances (in kilometers) between each pair of airports:\nQUV to DOU: 13700\nQUV to DMM: 8709\nQUV to CBR: 19934\nQUV to MXL: 9797\nQUV to TTA: 6594\nQUV to TSH: 10990\nQUV to DCN: 19419\nQUV to MEB: 20731\nTSH to DOU: 8587\nTSH to DMM: 5879\nTSH to CBR: 13914\nTSH to MXL: 15010\nTSH to TTA: 6121\nTSH to DCN: 12745\nTSH to MEB: 14688\nDCN to DOU: 18406\nDCN to DMM: 11335\nDCN to CBR: 4865\nDCN to MXL: 18362\nDCN to TTA: 17487\nDCN to MEB: 5505\nDOU to DMM: 12637\nDOU to CBR: 14925\nDOU to MXL: 9754\nDOU to TTA: 7749\nDOU to MEB: 16150\nDMM to CBR: 12549\nDMM to MXL: 14402\nDMM to TTA: 6165\nDMM to MEB: 13206\nMXL to CBR: 13737\nMXL to TTA: 10570\nMXL to MEB: 14962\nMEB to CBR: 1493\nMEB to TTA: 19358\nTTA to CBR: 18699\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 70676,
"style": "rule"
}
|
{
"exact_answer": 70676,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"QUV\", \"id\": 0}, {\"name\": \"TSH\", \"id\": 1}, {\"name\": \"DCN\", \"id\": 2}, {\"name\": \"DOU\", \"id\": 3}, {\"name\": \"DMM\", \"id\": 4}, {\"name\": \"MXL\", \"id\": 5}, {\"name\": \"MEB\", \"id\": 6}, {\"name\": \"TTA\", \"id\": 7}, {\"name\": \"CBR\", \"id\": 8}], \"links\": [{\"weight\": 13700, \"source\": 0, \"target\": 3}, {\"weight\": 8709, \"source\": 0, \"target\": 4}, {\"weight\": 19934, \"source\": 0, \"target\": 8}, {\"weight\": 9797, \"source\": 0, \"target\": 5}, {\"weight\": 6594, \"source\": 0, \"target\": 7}, {\"weight\": 10990, \"source\": 0, \"target\": 1}, {\"weight\": 19419, \"source\": 0, \"target\": 2}, {\"weight\": 20731, \"source\": 0, \"target\": 6}, {\"weight\": 8587, \"source\": 1, \"target\": 3}, {\"weight\": 5879, \"source\": 1, \"target\": 4}, {\"weight\": 13914, \"source\": 1, \"target\": 8}, {\"weight\": 15010, \"source\": 1, \"target\": 5}, {\"weight\": 6121, \"source\": 1, \"target\": 7}, {\"weight\": 12745, \"source\": 1, \"target\": 2}, {\"weight\": 14688, \"source\": 1, \"target\": 6}, {\"weight\": 18406, \"source\": 2, \"target\": 3}, {\"weight\": 11335, \"source\": 2, \"target\": 4}, {\"weight\": 4865, \"source\": 2, \"target\": 8}, {\"weight\": 18362, \"source\": 2, \"target\": 5}, {\"weight\": 17487, \"source\": 2, \"target\": 7}, {\"weight\": 5505, \"source\": 2, \"target\": 6}, {\"weight\": 12637, \"source\": 3, \"target\": 4}, {\"weight\": 14925, \"source\": 3, \"target\": 8}, {\"weight\": 9754, \"source\": 3, \"target\": 5}, {\"weight\": 7749, \"source\": 3, \"target\": 7}, {\"weight\": 16150, \"source\": 3, \"target\": 6}, {\"weight\": 12549, \"source\": 4, \"target\": 8}, {\"weight\": 14402, \"source\": 4, \"target\": 5}, {\"weight\": 6165, \"source\": 4, \"target\": 7}, {\"weight\": 13206, \"source\": 4, \"target\": 6}, {\"weight\": 13737, \"source\": 5, \"target\": 8}, {\"weight\": 10570, \"source\": 5, \"target\": 7}, {\"weight\": 14962, \"source\": 5, \"target\": 6}, {\"weight\": 1493, \"source\": 6, \"target\": 8}, {\"weight\": 19358, \"source\": 6, \"target\": 7}, {\"weight\": 18699, \"source\": 7, \"target\": 8}]}",
"id": 245,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: QUV, TSH, DCN, DOU, DMM, MXL, MEB, TTA, CBR\n- Travel distances (in kilometers) between each pair of airports:\nQUV to DOU: 13700\nQUV to DMM: 8709\nQUV to CBR: 19934\nQUV to MXL: 9797\nQUV to TTA: 6594\nQUV to TSH: 10990\nQUV to DCN: 19419\nQUV to MEB: 20731\nTSH to DOU: 8587\nTSH to DMM: 5879\nTSH to CBR: 13914\nTSH to MXL: 15010\nTSH to TTA: 6121\nTSH to DCN: 12745\nTSH to MEB: 14688\nDCN to DOU: 18406\nDCN to DMM: 11335\nDCN to CBR: 4865\nDCN to MXL: 18362\nDCN to TTA: 17487\nDCN to MEB: 5505\nDOU to DMM: 12637\nDOU to CBR: 14925\nDOU to MXL: 9754\nDOU to TTA: 7749\nDOU to MEB: 16150\nDMM to CBR: 12549\nDMM to MXL: 14402\nDMM to TTA: 6165\nDMM to MEB: 13206\nMXL to CBR: 13737\nMXL to TTA: 10570\nMXL to MEB: 14962\nMEB to CBR: 1493\nMEB to TTA: 19358\nTTA to CBR: 18699\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, KTS, DDC, LSC, PTG, DLI, GOV, LDB, KYA\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to KTS: 16855\nPSJ to LDB: 18864\nPSJ to GOV: 3466\nPSJ to DDC: 15702\nPSJ to LSC: 17406\nPSJ to KYA: 11349\nPSJ to PTG: 11231\nPSJ to DLI: 3598\nKTS to LDB: 14207\nKTS to GOV: 15473\nKTS to DDC: 5299\nKTS to LSC: 13454\nKTS to KYA: 13710\nKTS to PTG: 19772\nKTS to DLI: 15121\nDDC to LDB: 9998\nDDC to GOV: 15867\nDDC to LSC: 9093\nDDC to KYA: 10802\nDDC to PTG: 16190\nDDC to DLI: 13912\nLSC to LDB: 3125\nLSC to GOV: 14748\nLSC to KYA: 13947\nLSC to PTG: 10722\nLSC to DLI: 18785\nPTG to LDB: 8197\nPTG to GOV: 11889\nPTG to KYA: 8264\nPTG to DLI: 10057\nDLI to LDB: 17690\nDLI to GOV: 5290\nDLI to KYA: 8840\nGOV to LDB: 17097\nGOV to KYA: 13043\nLDB to KYA: 11506\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65355,
"style": "rule"
}
|
{
"exact_answer": 65355,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PSJ\", \"id\": 0}, {\"name\": \"KTS\", \"id\": 1}, {\"name\": \"DDC\", \"id\": 2}, {\"name\": \"LSC\", \"id\": 3}, {\"name\": \"PTG\", \"id\": 4}, {\"name\": \"DLI\", \"id\": 5}, {\"name\": \"GOV\", \"id\": 6}, {\"name\": \"LDB\", \"id\": 7}, {\"name\": \"KYA\", \"id\": 8}], \"links\": [{\"weight\": 16855, \"source\": 0, \"target\": 1}, {\"weight\": 18864, \"source\": 0, \"target\": 7}, {\"weight\": 3466, \"source\": 0, \"target\": 6}, {\"weight\": 15702, \"source\": 0, \"target\": 2}, {\"weight\": 17406, \"source\": 0, \"target\": 3}, {\"weight\": 11349, \"source\": 0, \"target\": 8}, {\"weight\": 11231, \"source\": 0, \"target\": 4}, {\"weight\": 3598, \"source\": 0, \"target\": 5}, {\"weight\": 14207, \"source\": 1, \"target\": 7}, {\"weight\": 15473, \"source\": 1, \"target\": 6}, {\"weight\": 5299, \"source\": 1, \"target\": 2}, {\"weight\": 13454, \"source\": 1, \"target\": 3}, {\"weight\": 13710, \"source\": 1, \"target\": 8}, {\"weight\": 19772, \"source\": 1, \"target\": 4}, {\"weight\": 15121, \"source\": 1, \"target\": 5}, {\"weight\": 9998, \"source\": 2, \"target\": 7}, {\"weight\": 15867, \"source\": 2, \"target\": 6}, {\"weight\": 9093, \"source\": 2, \"target\": 3}, {\"weight\": 10802, \"source\": 2, \"target\": 8}, {\"weight\": 16190, \"source\": 2, \"target\": 4}, {\"weight\": 13912, \"source\": 2, \"target\": 5}, {\"weight\": 3125, \"source\": 3, \"target\": 7}, {\"weight\": 14748, \"source\": 3, \"target\": 6}, {\"weight\": 13947, \"source\": 3, \"target\": 8}, {\"weight\": 10722, \"source\": 3, \"target\": 4}, {\"weight\": 18785, \"source\": 3, \"target\": 5}, {\"weight\": 8197, \"source\": 4, \"target\": 7}, {\"weight\": 11889, \"source\": 4, \"target\": 6}, {\"weight\": 8264, \"source\": 4, \"target\": 8}, {\"weight\": 10057, \"source\": 4, \"target\": 5}, {\"weight\": 17690, \"source\": 5, \"target\": 7}, {\"weight\": 5290, \"source\": 5, \"target\": 6}, {\"weight\": 8840, \"source\": 5, \"target\": 8}, {\"weight\": 17097, \"source\": 6, \"target\": 7}, {\"weight\": 13043, \"source\": 6, \"target\": 8}, {\"weight\": 11506, \"source\": 7, \"target\": 8}]}",
"id": 246,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, KTS, DDC, LSC, PTG, DLI, GOV, LDB, KYA\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to KTS: 16855\nPSJ to LDB: 18864\nPSJ to GOV: 3466\nPSJ to DDC: 15702\nPSJ to LSC: 17406\nPSJ to KYA: 11349\nPSJ to PTG: 11231\nPSJ to DLI: 3598\nKTS to LDB: 14207\nKTS to GOV: 15473\nKTS to DDC: 5299\nKTS to LSC: 13454\nKTS to KYA: 13710\nKTS to PTG: 19772\nKTS to DLI: 15121\nDDC to LDB: 9998\nDDC to GOV: 15867\nDDC to LSC: 9093\nDDC to KYA: 10802\nDDC to PTG: 16190\nDDC to DLI: 13912\nLSC to LDB: 3125\nLSC to GOV: 14748\nLSC to KYA: 13947\nLSC to PTG: 10722\nLSC to DLI: 18785\nPTG to LDB: 8197\nPTG to GOV: 11889\nPTG to KYA: 8264\nPTG to DLI: 10057\nDLI to LDB: 17690\nDLI to GOV: 5290\nDLI to KYA: 8840\nGOV to LDB: 17097\nGOV to KYA: 13043\nLDB to KYA: 11506\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MNS, TGK, HAN, LNV, BBI, HEH, TSN, UIB, SAP\n- Travel distances (in kilometers) between each pair of airports:\nMNS to TGK: 9015\nMNS to TSN: 11147\nMNS to HAN: 10012\nMNS to SAP: 14396\nMNS to BBI: 7686\nMNS to HEH: 9448\nMNS to UIB: 13310\nMNS to LNV: 15127\nTGK to TSN: 7346\nTGK to HAN: 7607\nTGK to SAP: 11575\nTGK to BBI: 6500\nTGK to HEH: 7993\nTGK to UIB: 12173\nTGK to LNV: 14015\nHAN to TSN: 2322\nHAN to SAP: 15672\nHAN to BBI: 2530\nHAN to HEH: 1555\nHAN to UIB: 17554\nHAN to LNV: 6630\nLNV to TSN: 7618\nLNV to SAP: 16946\nLNV to BBI: 8986\nLNV to HEH: 8080\nLNV to UIB: 18957\nBBI to TSN: 3939\nBBI to SAP: 16144\nBBI to HEH: 1839\nBBI to UIB: 16780\nHEH to TSN: 2999\nHEH to SAP: 16371\nHEH to UIB: 18253\nTSN to SAP: 13544\nTSN to UIB: 15524\nUIB to SAP: 2075\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59634,
"style": "rule"
}
|
{
"exact_answer": 59634,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MNS\", \"id\": 0}, {\"name\": \"TGK\", \"id\": 1}, {\"name\": \"HAN\", \"id\": 2}, {\"name\": \"LNV\", \"id\": 3}, {\"name\": \"BBI\", \"id\": 4}, {\"name\": \"HEH\", \"id\": 5}, {\"name\": \"TSN\", \"id\": 6}, {\"name\": \"UIB\", \"id\": 7}, {\"name\": \"SAP\", \"id\": 8}], \"links\": [{\"weight\": 9015, \"source\": 0, \"target\": 1}, {\"weight\": 11147, \"source\": 0, \"target\": 6}, {\"weight\": 10012, \"source\": 0, \"target\": 2}, {\"weight\": 14396, \"source\": 0, \"target\": 8}, {\"weight\": 7686, \"source\": 0, \"target\": 4}, {\"weight\": 9448, \"source\": 0, \"target\": 5}, {\"weight\": 13310, \"source\": 0, \"target\": 7}, {\"weight\": 15127, \"source\": 0, \"target\": 3}, {\"weight\": 7346, \"source\": 1, \"target\": 6}, {\"weight\": 7607, \"source\": 1, \"target\": 2}, {\"weight\": 11575, \"source\": 1, \"target\": 8}, {\"weight\": 6500, \"source\": 1, \"target\": 4}, {\"weight\": 7993, \"source\": 1, \"target\": 5}, {\"weight\": 12173, \"source\": 1, \"target\": 7}, {\"weight\": 14015, \"source\": 1, \"target\": 3}, {\"weight\": 2322, \"source\": 2, \"target\": 6}, {\"weight\": 15672, \"source\": 2, \"target\": 8}, {\"weight\": 2530, \"source\": 2, \"target\": 4}, {\"weight\": 1555, \"source\": 2, \"target\": 5}, {\"weight\": 17554, \"source\": 2, \"target\": 7}, {\"weight\": 6630, \"source\": 2, \"target\": 3}, {\"weight\": 7618, \"source\": 3, \"target\": 6}, {\"weight\": 16946, \"source\": 3, \"target\": 8}, {\"weight\": 8986, \"source\": 3, \"target\": 4}, {\"weight\": 8080, \"source\": 3, \"target\": 5}, {\"weight\": 18957, \"source\": 3, \"target\": 7}, {\"weight\": 3939, \"source\": 4, \"target\": 6}, {\"weight\": 16144, \"source\": 4, \"target\": 8}, {\"weight\": 1839, \"source\": 4, \"target\": 5}, {\"weight\": 16780, \"source\": 4, \"target\": 7}, {\"weight\": 2999, \"source\": 5, \"target\": 6}, {\"weight\": 16371, \"source\": 5, \"target\": 8}, {\"weight\": 18253, \"source\": 5, \"target\": 7}, {\"weight\": 13544, \"source\": 6, \"target\": 8}, {\"weight\": 15524, \"source\": 6, \"target\": 7}, {\"weight\": 2075, \"source\": 7, \"target\": 8}]}",
"id": 247,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MNS, TGK, HAN, LNV, BBI, HEH, TSN, UIB, SAP\n- Travel distances (in kilometers) between each pair of airports:\nMNS to TGK: 9015\nMNS to TSN: 11147\nMNS to HAN: 10012\nMNS to SAP: 14396\nMNS to BBI: 7686\nMNS to HEH: 9448\nMNS to UIB: 13310\nMNS to LNV: 15127\nTGK to TSN: 7346\nTGK to HAN: 7607\nTGK to SAP: 11575\nTGK to BBI: 6500\nTGK to HEH: 7993\nTGK to UIB: 12173\nTGK to LNV: 14015\nHAN to TSN: 2322\nHAN to SAP: 15672\nHAN to BBI: 2530\nHAN to HEH: 1555\nHAN to UIB: 17554\nHAN to LNV: 6630\nLNV to TSN: 7618\nLNV to SAP: 16946\nLNV to BBI: 8986\nLNV to HEH: 8080\nLNV to UIB: 18957\nBBI to TSN: 3939\nBBI to SAP: 16144\nBBI to HEH: 1839\nBBI to UIB: 16780\nHEH to TSN: 2999\nHEH to SAP: 16371\nHEH to UIB: 18253\nTSN to SAP: 13544\nTSN to UIB: 15524\nUIB to SAP: 2075\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GST, PPP, BRW, KGI, RMQ, RET, SFB, MTJ, DWC\n- Travel distances (in kilometers) between each pair of airports:\nGST to DWC: 14147\nGST to BRW: 2143\nGST to RMQ: 11477\nGST to SFB: 5638\nGST to PPP: 13902\nGST to KGI: 16284\nGST to MTJ: 3485\nGST to RET: 9521\nPPP to DWC: 12888\nPPP to BRW: 14083\nPPP to RMQ: 8047\nPPP to SFB: 15978\nPPP to KGI: 4172\nPPP to MTJ: 14128\nPPP to RET: 17125\nBRW to DWC: 15889\nBRW to RMQ: 13219\nBRW to SFB: 7283\nBRW to KGI: 16465\nBRW to MTJ: 5227\nBRW to RET: 11263\nKGI to DWC: 10166\nKGI to RMQ: 6941\nKGI to SFB: 18348\nKGI to MTJ: 16510\nKGI to RET: 15102\nRMQ to DWC: 6580\nRMQ to SFB: 13694\nRMQ to MTJ: 11892\nRMQ to RET: 9536\nRET to DWC: 5951\nRET to SFB: 7826\nRET to MTJ: 8225\nSFB to DWC: 12450\nSFB to MTJ: 2783\nMTJ to DWC: 12995\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53964,
"style": "rule"
}
|
{
"exact_answer": 53964,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GST\", \"id\": 0}, {\"name\": \"PPP\", \"id\": 1}, {\"name\": \"BRW\", \"id\": 2}, {\"name\": \"KGI\", \"id\": 3}, {\"name\": \"RMQ\", \"id\": 4}, {\"name\": \"RET\", \"id\": 5}, {\"name\": \"SFB\", \"id\": 6}, {\"name\": \"MTJ\", \"id\": 7}, {\"name\": \"DWC\", \"id\": 8}], \"links\": [{\"weight\": 14147, \"source\": 0, \"target\": 8}, {\"weight\": 2143, \"source\": 0, \"target\": 2}, {\"weight\": 11477, \"source\": 0, \"target\": 4}, {\"weight\": 5638, \"source\": 0, \"target\": 6}, {\"weight\": 13902, \"source\": 0, \"target\": 1}, {\"weight\": 16284, \"source\": 0, \"target\": 3}, {\"weight\": 3485, \"source\": 0, \"target\": 7}, {\"weight\": 9521, \"source\": 0, \"target\": 5}, {\"weight\": 12888, \"source\": 1, \"target\": 8}, {\"weight\": 14083, \"source\": 1, \"target\": 2}, {\"weight\": 8047, \"source\": 1, \"target\": 4}, {\"weight\": 15978, \"source\": 1, \"target\": 6}, {\"weight\": 4172, \"source\": 1, \"target\": 3}, {\"weight\": 14128, \"source\": 1, \"target\": 7}, {\"weight\": 17125, \"source\": 1, \"target\": 5}, {\"weight\": 15889, \"source\": 2, \"target\": 8}, {\"weight\": 13219, \"source\": 2, \"target\": 4}, {\"weight\": 7283, \"source\": 2, \"target\": 6}, {\"weight\": 16465, \"source\": 2, \"target\": 3}, {\"weight\": 5227, \"source\": 2, \"target\": 7}, {\"weight\": 11263, \"source\": 2, \"target\": 5}, {\"weight\": 10166, \"source\": 3, \"target\": 8}, {\"weight\": 6941, \"source\": 3, \"target\": 4}, {\"weight\": 18348, \"source\": 3, \"target\": 6}, {\"weight\": 16510, \"source\": 3, \"target\": 7}, {\"weight\": 15102, \"source\": 3, \"target\": 5}, {\"weight\": 6580, \"source\": 4, \"target\": 8}, {\"weight\": 13694, \"source\": 4, \"target\": 6}, {\"weight\": 11892, \"source\": 4, \"target\": 7}, {\"weight\": 9536, \"source\": 4, \"target\": 5}, {\"weight\": 5951, \"source\": 5, \"target\": 8}, {\"weight\": 7826, \"source\": 5, \"target\": 6}, {\"weight\": 8225, \"source\": 5, \"target\": 7}, {\"weight\": 12450, \"source\": 6, \"target\": 8}, {\"weight\": 2783, \"source\": 6, \"target\": 7}, {\"weight\": 12995, \"source\": 7, \"target\": 8}]}",
"id": 248,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GST, PPP, BRW, KGI, RMQ, RET, SFB, MTJ, DWC\n- Travel distances (in kilometers) between each pair of airports:\nGST to DWC: 14147\nGST to BRW: 2143\nGST to RMQ: 11477\nGST to SFB: 5638\nGST to PPP: 13902\nGST to KGI: 16284\nGST to MTJ: 3485\nGST to RET: 9521\nPPP to DWC: 12888\nPPP to BRW: 14083\nPPP to RMQ: 8047\nPPP to SFB: 15978\nPPP to KGI: 4172\nPPP to MTJ: 14128\nPPP to RET: 17125\nBRW to DWC: 15889\nBRW to RMQ: 13219\nBRW to SFB: 7283\nBRW to KGI: 16465\nBRW to MTJ: 5227\nBRW to RET: 11263\nKGI to DWC: 10166\nKGI to RMQ: 6941\nKGI to SFB: 18348\nKGI to MTJ: 16510\nKGI to RET: 15102\nRMQ to DWC: 6580\nRMQ to SFB: 13694\nRMQ to MTJ: 11892\nRMQ to RET: 9536\nRET to DWC: 5951\nRET to SFB: 7826\nRET to MTJ: 8225\nSFB to DWC: 12450\nSFB to MTJ: 2783\nMTJ to DWC: 12995\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPT, SXM, HLN, STI, BKK, HGR, YIC, KAO, CNS\n- Travel distances (in kilometers) between each pair of airports:\nCPT to BKK: 10267\nCPT to SXM: 13683\nCPT to YIC: 12360\nCPT to CNS: 13012\nCPT to STI: 14423\nCPT to HLN: 16282\nCPT to KAO: 11441\nCPT to HGR: 13583\nSXM to BKK: 16140\nSXM to YIC: 15070\nSXM to CNS: 18520\nSXM to STI: 805\nSXM to HLN: 5548\nSXM to KAO: 9119\nSXM to HGR: 2794\nHLN to BKK: 12782\nHLN to YIC: 10846\nHLN to CNS: 14037\nHLN to STI: 4918\nHLN to KAO: 9707\nHLN to HGR: 3010\nSTI to BKK: 16673\nSTI to YIC: 14737\nSTI to CNS: 17776\nSTI to KAO: 9535\nSTI to HGR: 2635\nBKK to YIC: 2276\nBKK to CNS: 6397\nBKK to KAO: 8572\nBKK to HGR: 14517\nHGR to YIC: 12581\nHGR to CNS: 16685\nHGR to KAO: 7691\nYIC to CNS: 6767\nYIC to KAO: 8353\nKAO to CNS: 14042\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59541,
"style": "rule"
}
|
{
"exact_answer": 59541,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CPT\", \"id\": 0}, {\"name\": \"SXM\", \"id\": 1}, {\"name\": \"HLN\", \"id\": 2}, {\"name\": \"STI\", \"id\": 3}, {\"name\": \"BKK\", \"id\": 4}, {\"name\": \"HGR\", \"id\": 5}, {\"name\": \"YIC\", \"id\": 6}, {\"name\": \"KAO\", \"id\": 7}, {\"name\": \"CNS\", \"id\": 8}], \"links\": [{\"weight\": 10267, \"source\": 0, \"target\": 4}, {\"weight\": 13683, \"source\": 0, \"target\": 1}, {\"weight\": 12360, \"source\": 0, \"target\": 6}, {\"weight\": 13012, \"source\": 0, \"target\": 8}, {\"weight\": 14423, \"source\": 0, \"target\": 3}, {\"weight\": 16282, \"source\": 0, \"target\": 2}, {\"weight\": 11441, \"source\": 0, \"target\": 7}, {\"weight\": 13583, \"source\": 0, \"target\": 5}, {\"weight\": 16140, \"source\": 1, \"target\": 4}, {\"weight\": 15070, \"source\": 1, \"target\": 6}, {\"weight\": 18520, \"source\": 1, \"target\": 8}, {\"weight\": 805, \"source\": 1, \"target\": 3}, {\"weight\": 5548, \"source\": 1, \"target\": 2}, {\"weight\": 9119, \"source\": 1, \"target\": 7}, {\"weight\": 2794, \"source\": 1, \"target\": 5}, {\"weight\": 12782, \"source\": 2, \"target\": 4}, {\"weight\": 10846, \"source\": 2, \"target\": 6}, {\"weight\": 14037, \"source\": 2, \"target\": 8}, {\"weight\": 4918, \"source\": 2, \"target\": 3}, {\"weight\": 9707, \"source\": 2, \"target\": 7}, {\"weight\": 3010, \"source\": 2, \"target\": 5}, {\"weight\": 16673, \"source\": 3, \"target\": 4}, {\"weight\": 14737, \"source\": 3, \"target\": 6}, {\"weight\": 17776, \"source\": 3, \"target\": 8}, {\"weight\": 9535, \"source\": 3, \"target\": 7}, {\"weight\": 2635, \"source\": 3, \"target\": 5}, {\"weight\": 2276, \"source\": 4, \"target\": 6}, {\"weight\": 6397, \"source\": 4, \"target\": 8}, {\"weight\": 8572, \"source\": 4, \"target\": 7}, {\"weight\": 14517, \"source\": 4, \"target\": 5}, {\"weight\": 12581, \"source\": 5, \"target\": 6}, {\"weight\": 16685, \"source\": 5, \"target\": 8}, {\"weight\": 7691, \"source\": 5, \"target\": 7}, {\"weight\": 6767, \"source\": 6, \"target\": 8}, {\"weight\": 8353, \"source\": 6, \"target\": 7}, {\"weight\": 14042, \"source\": 7, \"target\": 8}]}",
"id": 249,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPT, SXM, HLN, STI, BKK, HGR, YIC, KAO, CNS\n- Travel distances (in kilometers) between each pair of airports:\nCPT to BKK: 10267\nCPT to SXM: 13683\nCPT to YIC: 12360\nCPT to CNS: 13012\nCPT to STI: 14423\nCPT to HLN: 16282\nCPT to KAO: 11441\nCPT to HGR: 13583\nSXM to BKK: 16140\nSXM to YIC: 15070\nSXM to CNS: 18520\nSXM to STI: 805\nSXM to HLN: 5548\nSXM to KAO: 9119\nSXM to HGR: 2794\nHLN to BKK: 12782\nHLN to YIC: 10846\nHLN to CNS: 14037\nHLN to STI: 4918\nHLN to KAO: 9707\nHLN to HGR: 3010\nSTI to BKK: 16673\nSTI to YIC: 14737\nSTI to CNS: 17776\nSTI to KAO: 9535\nSTI to HGR: 2635\nBKK to YIC: 2276\nBKK to CNS: 6397\nBKK to KAO: 8572\nBKK to HGR: 14517\nHGR to YIC: 12581\nHGR to CNS: 16685\nHGR to KAO: 7691\nYIC to CNS: 6767\nYIC to KAO: 8353\nKAO to CNS: 14042\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JDH, RUH, JNB, ABL, MGM, UIO, SCE, DOK, LPL\n- Travel distances (in kilometers) between each pair of airports:\nJDH to UIO: 16399\nJDH to JNB: 7761\nJDH to ABL: 16373\nJDH to RUH: 3511\nJDH to MGM: 13567\nJDH to SCE: 12612\nJDH to LPL: 7361\nJDH to DOK: 4681\nRUH to UIO: 13656\nRUH to JNB: 6028\nRUH to ABL: 15795\nRUH to MGM: 11935\nRUH to SCE: 10874\nRUH to LPL: 5163\nRUH to DOK: 3177\nJNB to UIO: 11757\nJNB to ABL: 19609\nJNB to MGM: 13817\nJNB to SCE: 13226\nJNB to LPL: 9346\nJNB to DOK: 8305\nABL to UIO: 10131\nABL to MGM: 6823\nABL to SCE: 6457\nABL to LPL: 10978\nABL to DOK: 13213\nMGM to UIO: 4042\nMGM to SCE: 1308\nMGM to LPL: 6784\nMGM to DOK: 9546\nUIO to SCE: 4570\nUIO to LPL: 9486\nUIO to DOK: 11936\nSCE to LPL: 5724\nSCE to DOK: 8485\nDOK to LPL: 2876\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51638,
"style": "rule"
}
|
{
"exact_answer": 51638,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JDH\", \"id\": 0}, {\"name\": \"RUH\", \"id\": 1}, {\"name\": \"JNB\", \"id\": 2}, {\"name\": \"ABL\", \"id\": 3}, {\"name\": \"MGM\", \"id\": 4}, {\"name\": \"UIO\", \"id\": 5}, {\"name\": \"SCE\", \"id\": 6}, {\"name\": \"DOK\", \"id\": 7}, {\"name\": \"LPL\", \"id\": 8}], \"links\": [{\"weight\": 16399, \"source\": 0, \"target\": 5}, {\"weight\": 7761, \"source\": 0, \"target\": 2}, {\"weight\": 16373, \"source\": 0, \"target\": 3}, {\"weight\": 3511, \"source\": 0, \"target\": 1}, {\"weight\": 13567, \"source\": 0, \"target\": 4}, {\"weight\": 12612, \"source\": 0, \"target\": 6}, {\"weight\": 7361, \"source\": 0, \"target\": 8}, {\"weight\": 4681, \"source\": 0, \"target\": 7}, {\"weight\": 13656, \"source\": 1, \"target\": 5}, {\"weight\": 6028, \"source\": 1, \"target\": 2}, {\"weight\": 15795, \"source\": 1, \"target\": 3}, {\"weight\": 11935, \"source\": 1, \"target\": 4}, {\"weight\": 10874, \"source\": 1, \"target\": 6}, {\"weight\": 5163, \"source\": 1, \"target\": 8}, {\"weight\": 3177, \"source\": 1, \"target\": 7}, {\"weight\": 11757, \"source\": 2, \"target\": 5}, {\"weight\": 19609, \"source\": 2, \"target\": 3}, {\"weight\": 13817, \"source\": 2, \"target\": 4}, {\"weight\": 13226, \"source\": 2, \"target\": 6}, {\"weight\": 9346, \"source\": 2, \"target\": 8}, {\"weight\": 8305, \"source\": 2, \"target\": 7}, {\"weight\": 10131, \"source\": 3, \"target\": 5}, {\"weight\": 6823, \"source\": 3, \"target\": 4}, {\"weight\": 6457, \"source\": 3, \"target\": 6}, {\"weight\": 10978, \"source\": 3, \"target\": 8}, {\"weight\": 13213, \"source\": 3, \"target\": 7}, {\"weight\": 4042, \"source\": 4, \"target\": 5}, {\"weight\": 1308, \"source\": 4, \"target\": 6}, {\"weight\": 6784, \"source\": 4, \"target\": 8}, {\"weight\": 9546, \"source\": 4, \"target\": 7}, {\"weight\": 4570, \"source\": 5, \"target\": 6}, {\"weight\": 9486, \"source\": 5, \"target\": 8}, {\"weight\": 11936, \"source\": 5, \"target\": 7}, {\"weight\": 5724, \"source\": 6, \"target\": 8}, {\"weight\": 8485, \"source\": 6, \"target\": 7}, {\"weight\": 2876, \"source\": 7, \"target\": 8}]}",
"id": 250,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JDH, RUH, JNB, ABL, MGM, UIO, SCE, DOK, LPL\n- Travel distances (in kilometers) between each pair of airports:\nJDH to UIO: 16399\nJDH to JNB: 7761\nJDH to ABL: 16373\nJDH to RUH: 3511\nJDH to MGM: 13567\nJDH to SCE: 12612\nJDH to LPL: 7361\nJDH to DOK: 4681\nRUH to UIO: 13656\nRUH to JNB: 6028\nRUH to ABL: 15795\nRUH to MGM: 11935\nRUH to SCE: 10874\nRUH to LPL: 5163\nRUH to DOK: 3177\nJNB to UIO: 11757\nJNB to ABL: 19609\nJNB to MGM: 13817\nJNB to SCE: 13226\nJNB to LPL: 9346\nJNB to DOK: 8305\nABL to UIO: 10131\nABL to MGM: 6823\nABL to SCE: 6457\nABL to LPL: 10978\nABL to DOK: 13213\nMGM to UIO: 4042\nMGM to SCE: 1308\nMGM to LPL: 6784\nMGM to DOK: 9546\nUIO to SCE: 4570\nUIO to LPL: 9486\nUIO to DOK: 11936\nSCE to LPL: 5724\nSCE to DOK: 8485\nDOK to LPL: 2876\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YTS, BKC, PNI, ILI, RSA, HRI, OUZ, ALC, VDB\n- Travel distances (in kilometers) between each pair of airports:\nYTS to BKC: 6425\nYTS to ALC: 6995\nYTS to RSA: 10343\nYTS to HRI: 14738\nYTS to ILI: 5739\nYTS to OUZ: 7909\nYTS to VDB: 6643\nYTS to PNI: 12567\nBKC to ALC: 12342\nBKC to RSA: 15055\nBKC to HRI: 17158\nBKC to ILI: 1310\nBKC to OUZ: 13477\nBKC to VDB: 11047\nBKC to PNI: 10637\nPNI to ALC: 14946\nPNI to RSA: 17872\nPNI to HRI: 9037\nPNI to ILI: 9951\nPNI to OUZ: 17036\nPNI to VDB: 12872\nILI to ALC: 11656\nILI to RSA: 14369\nILI to HRI: 16472\nILI to OUZ: 12791\nILI to VDB: 10361\nRSA to ALC: 10713\nRSA to HRI: 16641\nRSA to OUZ: 8934\nRSA to VDB: 13068\nHRI to ALC: 8888\nHRI to OUZ: 10776\nHRI to VDB: 8514\nOUZ to ALC: 2254\nOUZ to VDB: 4692\nALC to VDB: 2703\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59471,
"style": "rule"
}
|
{
"exact_answer": 59471,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YTS\", \"id\": 0}, {\"name\": \"BKC\", \"id\": 1}, {\"name\": \"PNI\", \"id\": 2}, {\"name\": \"ILI\", \"id\": 3}, {\"name\": \"RSA\", \"id\": 4}, {\"name\": \"HRI\", \"id\": 5}, {\"name\": \"OUZ\", \"id\": 6}, {\"name\": \"ALC\", \"id\": 7}, {\"name\": \"VDB\", \"id\": 8}], \"links\": [{\"weight\": 6425, \"source\": 0, \"target\": 1}, {\"weight\": 6995, \"source\": 0, \"target\": 7}, {\"weight\": 10343, \"source\": 0, \"target\": 4}, {\"weight\": 14738, \"source\": 0, \"target\": 5}, {\"weight\": 5739, \"source\": 0, \"target\": 3}, {\"weight\": 7909, \"source\": 0, \"target\": 6}, {\"weight\": 6643, \"source\": 0, \"target\": 8}, {\"weight\": 12567, \"source\": 0, \"target\": 2}, {\"weight\": 12342, \"source\": 1, \"target\": 7}, {\"weight\": 15055, \"source\": 1, \"target\": 4}, {\"weight\": 17158, \"source\": 1, \"target\": 5}, {\"weight\": 1310, \"source\": 1, \"target\": 3}, {\"weight\": 13477, \"source\": 1, \"target\": 6}, {\"weight\": 11047, \"source\": 1, \"target\": 8}, {\"weight\": 10637, \"source\": 1, \"target\": 2}, {\"weight\": 14946, \"source\": 2, \"target\": 7}, {\"weight\": 17872, \"source\": 2, \"target\": 4}, {\"weight\": 9037, \"source\": 2, \"target\": 5}, {\"weight\": 9951, \"source\": 2, \"target\": 3}, {\"weight\": 17036, \"source\": 2, \"target\": 6}, {\"weight\": 12872, \"source\": 2, \"target\": 8}, {\"weight\": 11656, \"source\": 3, \"target\": 7}, {\"weight\": 14369, \"source\": 3, \"target\": 4}, {\"weight\": 16472, \"source\": 3, \"target\": 5}, {\"weight\": 12791, \"source\": 3, \"target\": 6}, {\"weight\": 10361, \"source\": 3, \"target\": 8}, {\"weight\": 10713, \"source\": 4, \"target\": 7}, {\"weight\": 16641, \"source\": 4, \"target\": 5}, {\"weight\": 8934, \"source\": 4, \"target\": 6}, {\"weight\": 13068, \"source\": 4, \"target\": 8}, {\"weight\": 8888, \"source\": 5, \"target\": 7}, {\"weight\": 10776, \"source\": 5, \"target\": 6}, {\"weight\": 8514, \"source\": 5, \"target\": 8}, {\"weight\": 2254, \"source\": 6, \"target\": 7}, {\"weight\": 4692, \"source\": 6, \"target\": 8}, {\"weight\": 2703, \"source\": 7, \"target\": 8}]}",
"id": 251,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YTS, BKC, PNI, ILI, RSA, HRI, OUZ, ALC, VDB\n- Travel distances (in kilometers) between each pair of airports:\nYTS to BKC: 6425\nYTS to ALC: 6995\nYTS to RSA: 10343\nYTS to HRI: 14738\nYTS to ILI: 5739\nYTS to OUZ: 7909\nYTS to VDB: 6643\nYTS to PNI: 12567\nBKC to ALC: 12342\nBKC to RSA: 15055\nBKC to HRI: 17158\nBKC to ILI: 1310\nBKC to OUZ: 13477\nBKC to VDB: 11047\nBKC to PNI: 10637\nPNI to ALC: 14946\nPNI to RSA: 17872\nPNI to HRI: 9037\nPNI to ILI: 9951\nPNI to OUZ: 17036\nPNI to VDB: 12872\nILI to ALC: 11656\nILI to RSA: 14369\nILI to HRI: 16472\nILI to OUZ: 12791\nILI to VDB: 10361\nRSA to ALC: 10713\nRSA to HRI: 16641\nRSA to OUZ: 8934\nRSA to VDB: 13068\nHRI to ALC: 8888\nHRI to OUZ: 10776\nHRI to VDB: 8514\nOUZ to ALC: 2254\nOUZ to VDB: 4692\nALC to VDB: 2703\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MQT, TIU, RHD, MMX, CIY, PSM, GJT, ALC, OOK\n- Travel distances (in kilometers) between each pair of airports:\nMQT to OOK: 5873\nMQT to GJT: 2253\nMQT to ALC: 7339\nMQT to RHD: 10626\nMQT to MMX: 7586\nMQT to CIY: 8593\nMQT to PSM: 3908\nMQT to TIU: 14696\nTIU to OOK: 13300\nTIU to GJT: 12461\nTIU to ALC: 20094\nTIU to RHD: 12721\nTIU to MMX: 18495\nTIU to CIY: 19553\nTIU to PSM: 16860\nRHD to OOK: 15299\nRHD to GJT: 10807\nRHD to ALC: 11138\nRHD to MMX: 13189\nRHD to CIY: 12831\nRHD to PSM: 10405\nMMX to OOK: 11625\nMMX to GJT: 8738\nMMX to ALC: 2465\nMMX to CIY: 2327\nMMX to PSM: 9866\nCIY to OOK: 12838\nCIY to GJT: 9846\nCIY to ALC: 1745\nCIY to PSM: 10832\nPSM to OOK: 8780\nPSM to GJT: 4650\nPSM to ALC: 9457\nGJT to OOK: 4576\nGJT to ALC: 8864\nALC to OOK: 12161\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61834,
"style": "rule"
}
|
{
"exact_answer": 61834,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MQT\", \"id\": 0}, {\"name\": \"TIU\", \"id\": 1}, {\"name\": \"RHD\", \"id\": 2}, {\"name\": \"MMX\", \"id\": 3}, {\"name\": \"CIY\", \"id\": 4}, {\"name\": \"PSM\", \"id\": 5}, {\"name\": \"GJT\", \"id\": 6}, {\"name\": \"ALC\", \"id\": 7}, {\"name\": \"OOK\", \"id\": 8}], \"links\": [{\"weight\": 5873, \"source\": 0, \"target\": 8}, {\"weight\": 2253, \"source\": 0, \"target\": 6}, {\"weight\": 7339, \"source\": 0, \"target\": 7}, {\"weight\": 10626, \"source\": 0, \"target\": 2}, {\"weight\": 7586, \"source\": 0, \"target\": 3}, {\"weight\": 8593, \"source\": 0, \"target\": 4}, {\"weight\": 3908, \"source\": 0, \"target\": 5}, {\"weight\": 14696, \"source\": 0, \"target\": 1}, {\"weight\": 13300, \"source\": 1, \"target\": 8}, {\"weight\": 12461, \"source\": 1, \"target\": 6}, {\"weight\": 20094, \"source\": 1, \"target\": 7}, {\"weight\": 12721, \"source\": 1, \"target\": 2}, {\"weight\": 18495, \"source\": 1, \"target\": 3}, {\"weight\": 19553, \"source\": 1, \"target\": 4}, {\"weight\": 16860, \"source\": 1, \"target\": 5}, {\"weight\": 15299, \"source\": 2, \"target\": 8}, {\"weight\": 10807, \"source\": 2, \"target\": 6}, {\"weight\": 11138, \"source\": 2, \"target\": 7}, {\"weight\": 13189, \"source\": 2, \"target\": 3}, {\"weight\": 12831, \"source\": 2, \"target\": 4}, {\"weight\": 10405, \"source\": 2, \"target\": 5}, {\"weight\": 11625, \"source\": 3, \"target\": 8}, {\"weight\": 8738, \"source\": 3, \"target\": 6}, {\"weight\": 2465, \"source\": 3, \"target\": 7}, {\"weight\": 2327, \"source\": 3, \"target\": 4}, {\"weight\": 9866, \"source\": 3, \"target\": 5}, {\"weight\": 12838, \"source\": 4, \"target\": 8}, {\"weight\": 9846, \"source\": 4, \"target\": 6}, {\"weight\": 1745, \"source\": 4, \"target\": 7}, {\"weight\": 10832, \"source\": 4, \"target\": 5}, {\"weight\": 8780, \"source\": 5, \"target\": 8}, {\"weight\": 4650, \"source\": 5, \"target\": 6}, {\"weight\": 9457, \"source\": 5, \"target\": 7}, {\"weight\": 4576, \"source\": 6, \"target\": 8}, {\"weight\": 8864, \"source\": 6, \"target\": 7}, {\"weight\": 12161, \"source\": 7, \"target\": 8}]}",
"id": 252,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MQT, TIU, RHD, MMX, CIY, PSM, GJT, ALC, OOK\n- Travel distances (in kilometers) between each pair of airports:\nMQT to OOK: 5873\nMQT to GJT: 2253\nMQT to ALC: 7339\nMQT to RHD: 10626\nMQT to MMX: 7586\nMQT to CIY: 8593\nMQT to PSM: 3908\nMQT to TIU: 14696\nTIU to OOK: 13300\nTIU to GJT: 12461\nTIU to ALC: 20094\nTIU to RHD: 12721\nTIU to MMX: 18495\nTIU to CIY: 19553\nTIU to PSM: 16860\nRHD to OOK: 15299\nRHD to GJT: 10807\nRHD to ALC: 11138\nRHD to MMX: 13189\nRHD to CIY: 12831\nRHD to PSM: 10405\nMMX to OOK: 11625\nMMX to GJT: 8738\nMMX to ALC: 2465\nMMX to CIY: 2327\nMMX to PSM: 9866\nCIY to OOK: 12838\nCIY to GJT: 9846\nCIY to ALC: 1745\nCIY to PSM: 10832\nPSM to OOK: 8780\nPSM to GJT: 4650\nPSM to ALC: 9457\nGJT to OOK: 4576\nGJT to ALC: 8864\nALC to OOK: 12161\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, QUV, CPH, GLO, SFN, LEN, YOG, LMM, LBA\n- Travel distances (in kilometers) between each pair of airports:\nPTH to CPH: 10965\nPTH to SFN: 14553\nPTH to LBA: 10453\nPTH to LMM: 5703\nPTH to QUV: 10874\nPTH to LEN: 12473\nPTH to GLO: 10728\nPTH to YOG: 6033\nQUV to CPH: 4195\nQUV to SFN: 15320\nQUV to LBA: 3683\nQUV to LMM: 9662\nQUV to LEN: 5703\nQUV to GLO: 3958\nQUV to YOG: 7639\nCPH to LBA: 937\nCPH to SFN: 12472\nCPH to LMM: 9753\nCPH to LEN: 2423\nCPH to GLO: 1417\nCPH to YOG: 7686\nGLO to SFN: 12048\nGLO to LBA: 679\nGLO to LMM: 9417\nGLO to LEN: 2479\nGLO to YOG: 7100\nSFN to LBA: 11817\nSFN to LMM: 9038\nSFN to LEN: 11499\nSFN to YOG: 11010\nLEN to LBA: 2079\nLEN to LMM: 10807\nLEN to YOG: 8489\nYOG to LBA: 6984\nYOG to LMM: 4250\nLMM to LBA: 9241\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47909,
"style": "rule"
}
|
{
"exact_answer": 47909,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTH\", \"id\": 0}, {\"name\": \"QUV\", \"id\": 1}, {\"name\": \"CPH\", \"id\": 2}, {\"name\": \"GLO\", \"id\": 3}, {\"name\": \"SFN\", \"id\": 4}, {\"name\": \"LEN\", \"id\": 5}, {\"name\": \"YOG\", \"id\": 6}, {\"name\": \"LMM\", \"id\": 7}, {\"name\": \"LBA\", \"id\": 8}], \"links\": [{\"weight\": 10965, \"source\": 0, \"target\": 2}, {\"weight\": 14553, \"source\": 0, \"target\": 4}, {\"weight\": 10453, \"source\": 0, \"target\": 8}, {\"weight\": 5703, \"source\": 0, \"target\": 7}, {\"weight\": 10874, \"source\": 0, \"target\": 1}, {\"weight\": 12473, \"source\": 0, \"target\": 5}, {\"weight\": 10728, \"source\": 0, \"target\": 3}, {\"weight\": 6033, \"source\": 0, \"target\": 6}, {\"weight\": 4195, \"source\": 1, \"target\": 2}, {\"weight\": 15320, \"source\": 1, \"target\": 4}, {\"weight\": 3683, \"source\": 1, \"target\": 8}, {\"weight\": 9662, \"source\": 1, \"target\": 7}, {\"weight\": 5703, \"source\": 1, \"target\": 5}, {\"weight\": 3958, \"source\": 1, \"target\": 3}, {\"weight\": 7639, \"source\": 1, \"target\": 6}, {\"weight\": 937, \"source\": 2, \"target\": 8}, {\"weight\": 12472, \"source\": 2, \"target\": 4}, {\"weight\": 9753, \"source\": 2, \"target\": 7}, {\"weight\": 2423, \"source\": 2, \"target\": 5}, {\"weight\": 1417, \"source\": 2, \"target\": 3}, {\"weight\": 7686, \"source\": 2, \"target\": 6}, {\"weight\": 12048, \"source\": 3, \"target\": 4}, {\"weight\": 679, \"source\": 3, \"target\": 8}, {\"weight\": 9417, \"source\": 3, \"target\": 7}, {\"weight\": 2479, \"source\": 3, \"target\": 5}, {\"weight\": 7100, \"source\": 3, \"target\": 6}, {\"weight\": 11817, \"source\": 4, \"target\": 8}, {\"weight\": 9038, \"source\": 4, \"target\": 7}, {\"weight\": 11499, \"source\": 4, \"target\": 5}, {\"weight\": 11010, \"source\": 4, \"target\": 6}, {\"weight\": 2079, \"source\": 5, \"target\": 8}, {\"weight\": 10807, \"source\": 5, \"target\": 7}, {\"weight\": 8489, \"source\": 5, \"target\": 6}, {\"weight\": 6984, \"source\": 6, \"target\": 8}, {\"weight\": 4250, \"source\": 6, \"target\": 7}, {\"weight\": 9241, \"source\": 7, \"target\": 8}]}",
"id": 253,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, QUV, CPH, GLO, SFN, LEN, YOG, LMM, LBA\n- Travel distances (in kilometers) between each pair of airports:\nPTH to CPH: 10965\nPTH to SFN: 14553\nPTH to LBA: 10453\nPTH to LMM: 5703\nPTH to QUV: 10874\nPTH to LEN: 12473\nPTH to GLO: 10728\nPTH to YOG: 6033\nQUV to CPH: 4195\nQUV to SFN: 15320\nQUV to LBA: 3683\nQUV to LMM: 9662\nQUV to LEN: 5703\nQUV to GLO: 3958\nQUV to YOG: 7639\nCPH to LBA: 937\nCPH to SFN: 12472\nCPH to LMM: 9753\nCPH to LEN: 2423\nCPH to GLO: 1417\nCPH to YOG: 7686\nGLO to SFN: 12048\nGLO to LBA: 679\nGLO to LMM: 9417\nGLO to LEN: 2479\nGLO to YOG: 7100\nSFN to LBA: 11817\nSFN to LMM: 9038\nSFN to LEN: 11499\nSFN to YOG: 11010\nLEN to LBA: 2079\nLEN to LMM: 10807\nLEN to YOG: 8489\nYOG to LBA: 6984\nYOG to LMM: 4250\nLMM to LBA: 9241\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HDM, YCY, KUL, FAI, CCM, BNY, LIM, FLW, RJK\n- Travel distances (in kilometers) between each pair of airports:\nHDM to LIM: 15964\nHDM to KUL: 6757\nHDM to RJK: 5010\nHDM to FAI: 16133\nHDM to YCY: 13179\nHDM to CCM: 14652\nHDM to BNY: 13304\nHDM to FLW: 8793\nYCY to LIM: 9227\nYCY to KUL: 17548\nYCY to RJK: 8251\nYCY to FAI: 7435\nYCY to CCM: 11643\nYCY to BNY: 16649\nYCY to FLW: 7587\nKUL to LIM: 19424\nKUL to RJK: 9659\nKUL to FAI: 15444\nKUL to CCM: 16608\nKUL to BNY: 6850\nKUL to FLW: 13442\nFAI to LIM: 10502\nFAI to RJK: 11365\nFAI to CCM: 13841\nFAI to BNY: 12302\nFAI to FLW: 10569\nCCM to LIM: 3733\nCCM to RJK: 10689\nCCM to BNY: 15884\nCCM to FLW: 9371\nBNY to LIM: 15844\nBNY to RJK: 15790\nBNY to FLW: 19307\nLIM to RJK: 11324\nLIM to FLW: 9920\nFLW to RJK: 4136\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64821,
"style": "rule"
}
|
{
"exact_answer": 64821,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HDM\", \"id\": 0}, {\"name\": \"YCY\", \"id\": 1}, {\"name\": \"KUL\", \"id\": 2}, {\"name\": \"FAI\", \"id\": 3}, {\"name\": \"CCM\", \"id\": 4}, {\"name\": \"BNY\", \"id\": 5}, {\"name\": \"LIM\", \"id\": 6}, {\"name\": \"FLW\", \"id\": 7}, {\"name\": \"RJK\", \"id\": 8}], \"links\": [{\"weight\": 15964, \"source\": 0, \"target\": 6}, {\"weight\": 6757, \"source\": 0, \"target\": 2}, {\"weight\": 5010, \"source\": 0, \"target\": 8}, {\"weight\": 16133, \"source\": 0, \"target\": 3}, {\"weight\": 13179, \"source\": 0, \"target\": 1}, {\"weight\": 14652, \"source\": 0, \"target\": 4}, {\"weight\": 13304, \"source\": 0, \"target\": 5}, {\"weight\": 8793, \"source\": 0, \"target\": 7}, {\"weight\": 9227, \"source\": 1, \"target\": 6}, {\"weight\": 17548, \"source\": 1, \"target\": 2}, {\"weight\": 8251, \"source\": 1, \"target\": 8}, {\"weight\": 7435, \"source\": 1, \"target\": 3}, {\"weight\": 11643, \"source\": 1, \"target\": 4}, {\"weight\": 16649, \"source\": 1, \"target\": 5}, {\"weight\": 7587, \"source\": 1, \"target\": 7}, {\"weight\": 19424, \"source\": 2, \"target\": 6}, {\"weight\": 9659, \"source\": 2, \"target\": 8}, {\"weight\": 15444, \"source\": 2, \"target\": 3}, {\"weight\": 16608, \"source\": 2, \"target\": 4}, {\"weight\": 6850, \"source\": 2, \"target\": 5}, {\"weight\": 13442, \"source\": 2, \"target\": 7}, {\"weight\": 10502, \"source\": 3, \"target\": 6}, {\"weight\": 11365, \"source\": 3, \"target\": 8}, {\"weight\": 13841, \"source\": 3, \"target\": 4}, {\"weight\": 12302, \"source\": 3, \"target\": 5}, {\"weight\": 10569, \"source\": 3, \"target\": 7}, {\"weight\": 3733, \"source\": 4, \"target\": 6}, {\"weight\": 10689, \"source\": 4, \"target\": 8}, {\"weight\": 15884, \"source\": 4, \"target\": 5}, {\"weight\": 9371, \"source\": 4, \"target\": 7}, {\"weight\": 15844, \"source\": 5, \"target\": 6}, {\"weight\": 15790, \"source\": 5, \"target\": 8}, {\"weight\": 19307, \"source\": 5, \"target\": 7}, {\"weight\": 11324, \"source\": 6, \"target\": 8}, {\"weight\": 9920, \"source\": 6, \"target\": 7}, {\"weight\": 4136, \"source\": 7, \"target\": 8}]}",
"id": 254,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HDM, YCY, KUL, FAI, CCM, BNY, LIM, FLW, RJK\n- Travel distances (in kilometers) between each pair of airports:\nHDM to LIM: 15964\nHDM to KUL: 6757\nHDM to RJK: 5010\nHDM to FAI: 16133\nHDM to YCY: 13179\nHDM to CCM: 14652\nHDM to BNY: 13304\nHDM to FLW: 8793\nYCY to LIM: 9227\nYCY to KUL: 17548\nYCY to RJK: 8251\nYCY to FAI: 7435\nYCY to CCM: 11643\nYCY to BNY: 16649\nYCY to FLW: 7587\nKUL to LIM: 19424\nKUL to RJK: 9659\nKUL to FAI: 15444\nKUL to CCM: 16608\nKUL to BNY: 6850\nKUL to FLW: 13442\nFAI to LIM: 10502\nFAI to RJK: 11365\nFAI to CCM: 13841\nFAI to BNY: 12302\nFAI to FLW: 10569\nCCM to LIM: 3733\nCCM to RJK: 10689\nCCM to BNY: 15884\nCCM to FLW: 9371\nBNY to LIM: 15844\nBNY to RJK: 15790\nBNY to FLW: 19307\nLIM to RJK: 11324\nLIM to FLW: 9920\nFLW to RJK: 4136\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYY, JFR, FNI, BKW, RET, LEA, HET, ORI, SJO\n- Travel distances (in kilometers) between each pair of airports:\nYYY to ORI: 6541\nYYY to HET: 12016\nYYY to SJO: 4578\nYYY to FNI: 6724\nYYY to JFR: 6490\nYYY to LEA: 20604\nYYY to BKW: 1675\nYYY to RET: 7010\nJFR to ORI: 10231\nJFR to HET: 10729\nJFR to SJO: 9370\nJFR to FNI: 4495\nJFR to LEA: 18344\nJFR to BKW: 6502\nJFR to RET: 3848\nFNI to ORI: 11398\nFNI to HET: 8749\nFNI to SJO: 10016\nFNI to LEA: 16017\nFNI to BKW: 7210\nFNI to RET: 3115\nBKW to ORI: 6275\nBKW to HET: 11869\nBKW to SJO: 3632\nBKW to LEA: 20251\nBKW to RET: 7022\nRET to ORI: 10751\nRET to HET: 8000\nRET to SJO: 9890\nRET to LEA: 15659\nLEA to ORI: 17158\nLEA to HET: 9198\nLEA to SJO: 20616\nHET to ORI: 11847\nHET to SJO: 14472\nORI to SJO: 8182\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61945,
"style": "rule"
}
|
{
"exact_answer": 61945,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YYY\", \"id\": 0}, {\"name\": \"JFR\", \"id\": 1}, {\"name\": \"FNI\", \"id\": 2}, {\"name\": \"BKW\", \"id\": 3}, {\"name\": \"RET\", \"id\": 4}, {\"name\": \"LEA\", \"id\": 5}, {\"name\": \"HET\", \"id\": 6}, {\"name\": \"ORI\", \"id\": 7}, {\"name\": \"SJO\", \"id\": 8}], \"links\": [{\"weight\": 6541, \"source\": 0, \"target\": 7}, {\"weight\": 12016, \"source\": 0, \"target\": 6}, {\"weight\": 4578, \"source\": 0, \"target\": 8}, {\"weight\": 6724, \"source\": 0, \"target\": 2}, {\"weight\": 6490, \"source\": 0, \"target\": 1}, {\"weight\": 20604, \"source\": 0, \"target\": 5}, {\"weight\": 1675, \"source\": 0, \"target\": 3}, {\"weight\": 7010, \"source\": 0, \"target\": 4}, {\"weight\": 10231, \"source\": 1, \"target\": 7}, {\"weight\": 10729, \"source\": 1, \"target\": 6}, {\"weight\": 9370, \"source\": 1, \"target\": 8}, {\"weight\": 4495, \"source\": 1, \"target\": 2}, {\"weight\": 18344, \"source\": 1, \"target\": 5}, {\"weight\": 6502, \"source\": 1, \"target\": 3}, {\"weight\": 3848, \"source\": 1, \"target\": 4}, {\"weight\": 11398, \"source\": 2, \"target\": 7}, {\"weight\": 8749, \"source\": 2, \"target\": 6}, {\"weight\": 10016, \"source\": 2, \"target\": 8}, {\"weight\": 16017, \"source\": 2, \"target\": 5}, {\"weight\": 7210, \"source\": 2, \"target\": 3}, {\"weight\": 3115, \"source\": 2, \"target\": 4}, {\"weight\": 6275, \"source\": 3, \"target\": 7}, {\"weight\": 11869, \"source\": 3, \"target\": 6}, {\"weight\": 3632, \"source\": 3, \"target\": 8}, {\"weight\": 20251, \"source\": 3, \"target\": 5}, {\"weight\": 7022, \"source\": 3, \"target\": 4}, {\"weight\": 10751, \"source\": 4, \"target\": 7}, {\"weight\": 8000, \"source\": 4, \"target\": 6}, {\"weight\": 9890, \"source\": 4, \"target\": 8}, {\"weight\": 15659, \"source\": 4, \"target\": 5}, {\"weight\": 17158, \"source\": 5, \"target\": 7}, {\"weight\": 9198, \"source\": 5, \"target\": 6}, {\"weight\": 20616, \"source\": 5, \"target\": 8}, {\"weight\": 11847, \"source\": 6, \"target\": 7}, {\"weight\": 14472, \"source\": 6, \"target\": 8}, {\"weight\": 8182, \"source\": 7, \"target\": 8}]}",
"id": 255,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYY, JFR, FNI, BKW, RET, LEA, HET, ORI, SJO\n- Travel distances (in kilometers) between each pair of airports:\nYYY to ORI: 6541\nYYY to HET: 12016\nYYY to SJO: 4578\nYYY to FNI: 6724\nYYY to JFR: 6490\nYYY to LEA: 20604\nYYY to BKW: 1675\nYYY to RET: 7010\nJFR to ORI: 10231\nJFR to HET: 10729\nJFR to SJO: 9370\nJFR to FNI: 4495\nJFR to LEA: 18344\nJFR to BKW: 6502\nJFR to RET: 3848\nFNI to ORI: 11398\nFNI to HET: 8749\nFNI to SJO: 10016\nFNI to LEA: 16017\nFNI to BKW: 7210\nFNI to RET: 3115\nBKW to ORI: 6275\nBKW to HET: 11869\nBKW to SJO: 3632\nBKW to LEA: 20251\nBKW to RET: 7022\nRET to ORI: 10751\nRET to HET: 8000\nRET to SJO: 9890\nRET to LEA: 15659\nLEA to ORI: 17158\nLEA to HET: 9198\nLEA to SJO: 20616\nHET to ORI: 11847\nHET to SJO: 14472\nORI to SJO: 8182\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKD, LIL, CGD, DCY, NVT, QUW, NYI, KDV, ATC\n- Travel distances (in kilometers) between each pair of airports:\nRKD to DCY: 13475\nRKD to CGD: 12839\nRKD to LIL: 6326\nRKD to NVT: 8462\nRKD to KDV: 13488\nRKD to QUW: 6076\nRKD to NYI: 8795\nRKD to ATC: 2435\nLIL to DCY: 8776\nLIL to CGD: 9081\nLIL to NVT: 9996\nLIL to KDV: 17437\nLIL to QUW: 4813\nLIL to NYI: 5363\nLIL to ATC: 8246\nCGD to DCY: 1694\nCGD to NVT: 18317\nCGD to KDV: 9153\nCGD to QUW: 11481\nCGD to NYI: 12324\nCGD to ATC: 14128\nDCY to NVT: 17802\nDCY to KDV: 10133\nDCY to QUW: 11475\nDCY to NYI: 11761\nDCY to ATC: 14764\nNVT to KDV: 14333\nNVT to QUW: 13588\nNVT to NYI: 6997\nNVT to ATC: 7012\nQUW to KDV: 17311\nQUW to NYI: 9191\nQUW to ATC: 8025\nNYI to KDV: 19337\nNYI to ATC: 10475\nKDV to ATC: 13284\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62430,
"style": "rule"
}
|
{
"exact_answer": 62430,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RKD\", \"id\": 0}, {\"name\": \"LIL\", \"id\": 1}, {\"name\": \"CGD\", \"id\": 2}, {\"name\": \"DCY\", \"id\": 3}, {\"name\": \"NVT\", \"id\": 4}, {\"name\": \"QUW\", \"id\": 5}, {\"name\": \"NYI\", \"id\": 6}, {\"name\": \"KDV\", \"id\": 7}, {\"name\": \"ATC\", \"id\": 8}], \"links\": [{\"weight\": 13475, \"source\": 0, \"target\": 3}, {\"weight\": 12839, \"source\": 0, \"target\": 2}, {\"weight\": 6326, \"source\": 0, \"target\": 1}, {\"weight\": 8462, \"source\": 0, \"target\": 4}, {\"weight\": 13488, \"source\": 0, \"target\": 7}, {\"weight\": 6076, \"source\": 0, \"target\": 5}, {\"weight\": 8795, \"source\": 0, \"target\": 6}, {\"weight\": 2435, \"source\": 0, \"target\": 8}, {\"weight\": 8776, \"source\": 1, \"target\": 3}, {\"weight\": 9081, \"source\": 1, \"target\": 2}, {\"weight\": 9996, \"source\": 1, \"target\": 4}, {\"weight\": 17437, \"source\": 1, \"target\": 7}, {\"weight\": 4813, \"source\": 1, \"target\": 5}, {\"weight\": 5363, \"source\": 1, \"target\": 6}, {\"weight\": 8246, \"source\": 1, \"target\": 8}, {\"weight\": 1694, \"source\": 2, \"target\": 3}, {\"weight\": 18317, \"source\": 2, \"target\": 4}, {\"weight\": 9153, \"source\": 2, \"target\": 7}, {\"weight\": 11481, \"source\": 2, \"target\": 5}, {\"weight\": 12324, \"source\": 2, \"target\": 6}, {\"weight\": 14128, \"source\": 2, \"target\": 8}, {\"weight\": 17802, \"source\": 3, \"target\": 4}, {\"weight\": 10133, \"source\": 3, \"target\": 7}, {\"weight\": 11475, \"source\": 3, \"target\": 5}, {\"weight\": 11761, \"source\": 3, \"target\": 6}, {\"weight\": 14764, \"source\": 3, \"target\": 8}, {\"weight\": 14333, \"source\": 4, \"target\": 7}, {\"weight\": 13588, \"source\": 4, \"target\": 5}, {\"weight\": 6997, \"source\": 4, \"target\": 6}, {\"weight\": 7012, \"source\": 4, \"target\": 8}, {\"weight\": 17311, \"source\": 5, \"target\": 7}, {\"weight\": 9191, \"source\": 5, \"target\": 6}, {\"weight\": 8025, \"source\": 5, \"target\": 8}, {\"weight\": 19337, \"source\": 6, \"target\": 7}, {\"weight\": 10475, \"source\": 6, \"target\": 8}, {\"weight\": 13284, \"source\": 7, \"target\": 8}]}",
"id": 256,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKD, LIL, CGD, DCY, NVT, QUW, NYI, KDV, ATC\n- Travel distances (in kilometers) between each pair of airports:\nRKD to DCY: 13475\nRKD to CGD: 12839\nRKD to LIL: 6326\nRKD to NVT: 8462\nRKD to KDV: 13488\nRKD to QUW: 6076\nRKD to NYI: 8795\nRKD to ATC: 2435\nLIL to DCY: 8776\nLIL to CGD: 9081\nLIL to NVT: 9996\nLIL to KDV: 17437\nLIL to QUW: 4813\nLIL to NYI: 5363\nLIL to ATC: 8246\nCGD to DCY: 1694\nCGD to NVT: 18317\nCGD to KDV: 9153\nCGD to QUW: 11481\nCGD to NYI: 12324\nCGD to ATC: 14128\nDCY to NVT: 17802\nDCY to KDV: 10133\nDCY to QUW: 11475\nDCY to NYI: 11761\nDCY to ATC: 14764\nNVT to KDV: 14333\nNVT to QUW: 13588\nNVT to NYI: 6997\nNVT to ATC: 7012\nQUW to KDV: 17311\nQUW to NYI: 9191\nQUW to ATC: 8025\nNYI to KDV: 19337\nNYI to ATC: 10475\nKDV to ATC: 13284\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VBV, KGP, UUS, APL, WRO, CCJ, YKG, THL, TQI\n- Travel distances (in kilometers) between each pair of airports:\nVBV to YKG: 14166\nVBV to WRO: 16567\nVBV to THL: 11004\nVBV to CCJ: 12002\nVBV to TQI: 17740\nVBV to UUS: 9888\nVBV to APL: 16140\nVBV to KGP: 14772\nKGP to YKG: 10692\nKGP to WRO: 3871\nKGP to THL: 7287\nKGP to CCJ: 6335\nKGP to TQI: 7669\nKGP to UUS: 6469\nKGP to APL: 9423\nUUS to YKG: 12835\nUUS to WRO: 8096\nUUS to THL: 5542\nUUS to CCJ: 7648\nUUS to TQI: 11875\nUUS to APL: 12802\nAPL to YKG: 14194\nAPL to WRO: 8007\nAPL to THL: 9341\nAPL to CCJ: 7030\nAPL to TQI: 12401\nWRO to YKG: 7005\nWRO to THL: 8545\nWRO to CCJ: 7068\nWRO to TQI: 4680\nCCJ to YKG: 13955\nCCJ to THL: 3433\nCCJ to TQI: 11534\nYKG to THL: 15352\nYKG to TQI: 8118\nTHL to TQI: 12724\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66151,
"style": "rule"
}
|
{
"exact_answer": 66151,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VBV\", \"id\": 0}, {\"name\": \"KGP\", \"id\": 1}, {\"name\": \"UUS\", \"id\": 2}, {\"name\": \"APL\", \"id\": 3}, {\"name\": \"WRO\", \"id\": 4}, {\"name\": \"CCJ\", \"id\": 5}, {\"name\": \"YKG\", \"id\": 6}, {\"name\": \"THL\", \"id\": 7}, {\"name\": \"TQI\", \"id\": 8}], \"links\": [{\"weight\": 14166, \"source\": 0, \"target\": 6}, {\"weight\": 16567, \"source\": 0, \"target\": 4}, {\"weight\": 11004, \"source\": 0, \"target\": 7}, {\"weight\": 12002, \"source\": 0, \"target\": 5}, {\"weight\": 17740, \"source\": 0, \"target\": 8}, {\"weight\": 9888, \"source\": 0, \"target\": 2}, {\"weight\": 16140, \"source\": 0, \"target\": 3}, {\"weight\": 14772, \"source\": 0, \"target\": 1}, {\"weight\": 10692, \"source\": 1, \"target\": 6}, {\"weight\": 3871, \"source\": 1, \"target\": 4}, {\"weight\": 7287, \"source\": 1, \"target\": 7}, {\"weight\": 6335, \"source\": 1, \"target\": 5}, {\"weight\": 7669, \"source\": 1, \"target\": 8}, {\"weight\": 6469, \"source\": 1, \"target\": 2}, {\"weight\": 9423, \"source\": 1, \"target\": 3}, {\"weight\": 12835, \"source\": 2, \"target\": 6}, {\"weight\": 8096, \"source\": 2, \"target\": 4}, {\"weight\": 5542, \"source\": 2, \"target\": 7}, {\"weight\": 7648, \"source\": 2, \"target\": 5}, {\"weight\": 11875, \"source\": 2, \"target\": 8}, {\"weight\": 12802, \"source\": 2, \"target\": 3}, {\"weight\": 14194, \"source\": 3, \"target\": 6}, {\"weight\": 8007, \"source\": 3, \"target\": 4}, {\"weight\": 9341, \"source\": 3, \"target\": 7}, {\"weight\": 7030, \"source\": 3, \"target\": 5}, {\"weight\": 12401, \"source\": 3, \"target\": 8}, {\"weight\": 7005, \"source\": 4, \"target\": 6}, {\"weight\": 8545, \"source\": 4, \"target\": 7}, {\"weight\": 7068, \"source\": 4, \"target\": 5}, {\"weight\": 4680, \"source\": 4, \"target\": 8}, {\"weight\": 13955, \"source\": 5, \"target\": 6}, {\"weight\": 3433, \"source\": 5, \"target\": 7}, {\"weight\": 11534, \"source\": 5, \"target\": 8}, {\"weight\": 15352, \"source\": 6, \"target\": 7}, {\"weight\": 8118, \"source\": 6, \"target\": 8}, {\"weight\": 12724, \"source\": 7, \"target\": 8}]}",
"id": 257,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VBV, KGP, UUS, APL, WRO, CCJ, YKG, THL, TQI\n- Travel distances (in kilometers) between each pair of airports:\nVBV to YKG: 14166\nVBV to WRO: 16567\nVBV to THL: 11004\nVBV to CCJ: 12002\nVBV to TQI: 17740\nVBV to UUS: 9888\nVBV to APL: 16140\nVBV to KGP: 14772\nKGP to YKG: 10692\nKGP to WRO: 3871\nKGP to THL: 7287\nKGP to CCJ: 6335\nKGP to TQI: 7669\nKGP to UUS: 6469\nKGP to APL: 9423\nUUS to YKG: 12835\nUUS to WRO: 8096\nUUS to THL: 5542\nUUS to CCJ: 7648\nUUS to TQI: 11875\nUUS to APL: 12802\nAPL to YKG: 14194\nAPL to WRO: 8007\nAPL to THL: 9341\nAPL to CCJ: 7030\nAPL to TQI: 12401\nWRO to YKG: 7005\nWRO to THL: 8545\nWRO to CCJ: 7068\nWRO to TQI: 4680\nCCJ to YKG: 13955\nCCJ to THL: 3433\nCCJ to TQI: 11534\nYKG to THL: 15352\nYKG to TQI: 8118\nTHL to TQI: 12724\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAX, CPX, MSU, BTM, PEN, ESM, CAW, STG, SKK\n- Travel distances (in kilometers) between each pair of airports:\nJAX to PEN: 16203\nJAX to SKK: 6618\nJAX to CPX: 2160\nJAX to CAW: 7481\nJAX to STG: 7166\nJAX to BTM: 3527\nJAX to ESM: 3508\nJAX to MSU: 14389\nCPX to PEN: 17296\nCPX to SKK: 8678\nCPX to CAW: 5691\nCPX to STG: 9226\nCPX to BTM: 5679\nCPX to ESM: 2590\nCPX to MSU: 13116\nMSU to PEN: 9209\nMSU to SKK: 19583\nMSU to CAW: 8389\nMSU to STG: 20131\nMSU to BTM: 16973\nMSU to ESM: 12308\nBTM to PEN: 14508\nBTM to SKK: 4674\nBTM to CAW: 10883\nBTM to STG: 5222\nBTM to ESM: 6470\nPEN to SKK: 15837\nPEN to CAW: 16850\nPEN to STG: 16385\nPEN to ESM: 19495\nESM to SKK: 9908\nESM to CAW: 5071\nESM to STG: 10456\nCAW to SKK: 14049\nCAW to STG: 14597\nSTG to SKK: 1920\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53925,
"style": "rule"
}
|
{
"exact_answer": 53925,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAX\", \"id\": 0}, {\"name\": \"CPX\", \"id\": 1}, {\"name\": \"MSU\", \"id\": 2}, {\"name\": \"BTM\", \"id\": 3}, {\"name\": \"PEN\", \"id\": 4}, {\"name\": \"ESM\", \"id\": 5}, {\"name\": \"CAW\", \"id\": 6}, {\"name\": \"STG\", \"id\": 7}, {\"name\": \"SKK\", \"id\": 8}], \"links\": [{\"weight\": 16203, \"source\": 0, \"target\": 4}, {\"weight\": 6618, \"source\": 0, \"target\": 8}, {\"weight\": 2160, \"source\": 0, \"target\": 1}, {\"weight\": 7481, \"source\": 0, \"target\": 6}, {\"weight\": 7166, \"source\": 0, \"target\": 7}, {\"weight\": 3527, \"source\": 0, \"target\": 3}, {\"weight\": 3508, \"source\": 0, \"target\": 5}, {\"weight\": 14389, \"source\": 0, \"target\": 2}, {\"weight\": 17296, \"source\": 1, \"target\": 4}, {\"weight\": 8678, \"source\": 1, \"target\": 8}, {\"weight\": 5691, \"source\": 1, \"target\": 6}, {\"weight\": 9226, \"source\": 1, \"target\": 7}, {\"weight\": 5679, \"source\": 1, \"target\": 3}, {\"weight\": 2590, \"source\": 1, \"target\": 5}, {\"weight\": 13116, \"source\": 1, \"target\": 2}, {\"weight\": 9209, \"source\": 2, \"target\": 4}, {\"weight\": 19583, \"source\": 2, \"target\": 8}, {\"weight\": 8389, \"source\": 2, \"target\": 6}, {\"weight\": 20131, \"source\": 2, \"target\": 7}, {\"weight\": 16973, \"source\": 2, \"target\": 3}, {\"weight\": 12308, \"source\": 2, \"target\": 5}, {\"weight\": 14508, \"source\": 3, \"target\": 4}, {\"weight\": 4674, \"source\": 3, \"target\": 8}, {\"weight\": 10883, \"source\": 3, \"target\": 6}, {\"weight\": 5222, \"source\": 3, \"target\": 7}, {\"weight\": 6470, \"source\": 3, \"target\": 5}, {\"weight\": 15837, \"source\": 4, \"target\": 8}, {\"weight\": 16850, \"source\": 4, \"target\": 6}, {\"weight\": 16385, \"source\": 4, \"target\": 7}, {\"weight\": 19495, \"source\": 4, \"target\": 5}, {\"weight\": 9908, \"source\": 5, \"target\": 8}, {\"weight\": 5071, \"source\": 5, \"target\": 6}, {\"weight\": 10456, \"source\": 5, \"target\": 7}, {\"weight\": 14049, \"source\": 6, \"target\": 8}, {\"weight\": 14597, \"source\": 6, \"target\": 7}, {\"weight\": 1920, \"source\": 7, \"target\": 8}]}",
"id": 258,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAX, CPX, MSU, BTM, PEN, ESM, CAW, STG, SKK\n- Travel distances (in kilometers) between each pair of airports:\nJAX to PEN: 16203\nJAX to SKK: 6618\nJAX to CPX: 2160\nJAX to CAW: 7481\nJAX to STG: 7166\nJAX to BTM: 3527\nJAX to ESM: 3508\nJAX to MSU: 14389\nCPX to PEN: 17296\nCPX to SKK: 8678\nCPX to CAW: 5691\nCPX to STG: 9226\nCPX to BTM: 5679\nCPX to ESM: 2590\nCPX to MSU: 13116\nMSU to PEN: 9209\nMSU to SKK: 19583\nMSU to CAW: 8389\nMSU to STG: 20131\nMSU to BTM: 16973\nMSU to ESM: 12308\nBTM to PEN: 14508\nBTM to SKK: 4674\nBTM to CAW: 10883\nBTM to STG: 5222\nBTM to ESM: 6470\nPEN to SKK: 15837\nPEN to CAW: 16850\nPEN to STG: 16385\nPEN to ESM: 19495\nESM to SKK: 9908\nESM to CAW: 5071\nESM to STG: 10456\nCAW to SKK: 14049\nCAW to STG: 14597\nSTG to SKK: 1920\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PNL, MAD, AGA, VUS, WUZ, DLG, GGW, EVN\n- Travel distances (in kilometers) between each pair of airports:\nBAL to MAD: 3819\nBAL to EVN: 2114\nBAL to GGW: 11466\nBAL to DLG: 13907\nBAL to AGA: 4793\nBAL to VUS: 3389\nBAL to PNL: 2753\nBAL to WUZ: 8425\nPNL to MAD: 1547\nPNL to EVN: 3069\nPNL to GGW: 9883\nPNL to DLG: 12502\nPNL to AGA: 2517\nPNL to VUS: 3744\nPNL to WUZ: 9513\nMAD to EVN: 4018\nMAD to GGW: 8672\nMAD to DLG: 11694\nMAD to AGA: 1246\nMAD to VUS: 4041\nMAD to WUZ: 10306\nAGA to EVN: 5044\nAGA to GGW: 9081\nAGA to DLG: 12147\nAGA to VUS: 5274\nAGA to WUZ: 11499\nVUS to EVN: 2679\nVUS to GGW: 10432\nVUS to DLG: 12334\nVUS to WUZ: 7997\nWUZ to EVN: 6770\nWUZ to GGW: 12142\nWUZ to DLG: 13625\nDLG to EVN: 13642\nDLG to GGW: 4221\nGGW to EVN: 11478\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45263,
"style": "rule"
}
|
{
"exact_answer": 45263,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BAL\", \"id\": 0}, {\"name\": \"PNL\", \"id\": 1}, {\"name\": \"MAD\", \"id\": 2}, {\"name\": \"AGA\", \"id\": 3}, {\"name\": \"VUS\", \"id\": 4}, {\"name\": \"WUZ\", \"id\": 5}, {\"name\": \"DLG\", \"id\": 6}, {\"name\": \"GGW\", \"id\": 7}, {\"name\": \"EVN\", \"id\": 8}], \"links\": [{\"weight\": 3819, \"source\": 0, \"target\": 2}, {\"weight\": 2114, \"source\": 0, \"target\": 8}, {\"weight\": 11466, \"source\": 0, \"target\": 7}, {\"weight\": 13907, \"source\": 0, \"target\": 6}, {\"weight\": 4793, \"source\": 0, \"target\": 3}, {\"weight\": 3389, \"source\": 0, \"target\": 4}, {\"weight\": 2753, \"source\": 0, \"target\": 1}, {\"weight\": 8425, \"source\": 0, \"target\": 5}, {\"weight\": 1547, \"source\": 1, \"target\": 2}, {\"weight\": 3069, \"source\": 1, \"target\": 8}, {\"weight\": 9883, \"source\": 1, \"target\": 7}, {\"weight\": 12502, \"source\": 1, \"target\": 6}, {\"weight\": 2517, \"source\": 1, \"target\": 3}, {\"weight\": 3744, \"source\": 1, \"target\": 4}, {\"weight\": 9513, \"source\": 1, \"target\": 5}, {\"weight\": 4018, \"source\": 2, \"target\": 8}, {\"weight\": 8672, \"source\": 2, \"target\": 7}, {\"weight\": 11694, \"source\": 2, \"target\": 6}, {\"weight\": 1246, \"source\": 2, \"target\": 3}, {\"weight\": 4041, \"source\": 2, \"target\": 4}, {\"weight\": 10306, \"source\": 2, \"target\": 5}, {\"weight\": 5044, \"source\": 3, \"target\": 8}, {\"weight\": 9081, \"source\": 3, \"target\": 7}, {\"weight\": 12147, \"source\": 3, \"target\": 6}, {\"weight\": 5274, \"source\": 3, \"target\": 4}, {\"weight\": 11499, \"source\": 3, \"target\": 5}, {\"weight\": 2679, \"source\": 4, \"target\": 8}, {\"weight\": 10432, \"source\": 4, \"target\": 7}, {\"weight\": 12334, \"source\": 4, \"target\": 6}, {\"weight\": 7997, \"source\": 4, \"target\": 5}, {\"weight\": 6770, \"source\": 5, \"target\": 8}, {\"weight\": 12142, \"source\": 5, \"target\": 7}, {\"weight\": 13625, \"source\": 5, \"target\": 6}, {\"weight\": 13642, \"source\": 6, \"target\": 8}, {\"weight\": 4221, \"source\": 6, \"target\": 7}, {\"weight\": 11478, \"source\": 7, \"target\": 8}]}",
"id": 259,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PNL, MAD, AGA, VUS, WUZ, DLG, GGW, EVN\n- Travel distances (in kilometers) between each pair of airports:\nBAL to MAD: 3819\nBAL to EVN: 2114\nBAL to GGW: 11466\nBAL to DLG: 13907\nBAL to AGA: 4793\nBAL to VUS: 3389\nBAL to PNL: 2753\nBAL to WUZ: 8425\nPNL to MAD: 1547\nPNL to EVN: 3069\nPNL to GGW: 9883\nPNL to DLG: 12502\nPNL to AGA: 2517\nPNL to VUS: 3744\nPNL to WUZ: 9513\nMAD to EVN: 4018\nMAD to GGW: 8672\nMAD to DLG: 11694\nMAD to AGA: 1246\nMAD to VUS: 4041\nMAD to WUZ: 10306\nAGA to EVN: 5044\nAGA to GGW: 9081\nAGA to DLG: 12147\nAGA to VUS: 5274\nAGA to WUZ: 11499\nVUS to EVN: 2679\nVUS to GGW: 10432\nVUS to DLG: 12334\nVUS to WUZ: 7997\nWUZ to EVN: 6770\nWUZ to GGW: 12142\nWUZ to DLG: 13625\nDLG to EVN: 13642\nDLG to GGW: 4221\nGGW to EVN: 11478\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJA, OLB, GDN, UAK, SZG, RES, SRG, GTO, GDX\n- Travel distances (in kilometers) between each pair of airports:\nPJA to OLB: 3044\nPJA to SZG: 2246\nPJA to GDN: 1741\nPJA to SRG: 11332\nPJA to RES: 14223\nPJA to GTO: 12683\nPJA to UAK: 4887\nPJA to GDX: 7173\nOLB to SZG: 1068\nOLB to GDN: 1648\nOLB to SRG: 11443\nOLB to RES: 12066\nOLB to GTO: 12866\nOLB to UAK: 5156\nOLB to GDX: 8534\nGDN to SZG: 927\nGDN to SRG: 10919\nGDN to RES: 13106\nGDN to GTO: 12331\nGDN to UAK: 4379\nGDN to GDX: 7055\nUAK to SZG: 4672\nUAK to SRG: 14747\nUAK to RES: 15537\nUAK to GTO: 16056\nUAK to GDX: 10596\nSZG to SRG: 11135\nSZG to RES: 12427\nSZG to GTO: 12548\nSZG to GDX: 7821\nRES to SRG: 18463\nRES to GTO: 19265\nRES to GDX: 19998\nSRG to GTO: 1791\nSRG to GDX: 8483\nGTO to GDX: 8794\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59548,
"style": "rule"
}
|
{
"exact_answer": 59548,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PJA\", \"id\": 0}, {\"name\": \"OLB\", \"id\": 1}, {\"name\": \"GDN\", \"id\": 2}, {\"name\": \"UAK\", \"id\": 3}, {\"name\": \"SZG\", \"id\": 4}, {\"name\": \"RES\", \"id\": 5}, {\"name\": \"SRG\", \"id\": 6}, {\"name\": \"GTO\", \"id\": 7}, {\"name\": \"GDX\", \"id\": 8}], \"links\": [{\"weight\": 3044, \"source\": 0, \"target\": 1}, {\"weight\": 2246, \"source\": 0, \"target\": 4}, {\"weight\": 1741, \"source\": 0, \"target\": 2}, {\"weight\": 11332, \"source\": 0, \"target\": 6}, {\"weight\": 14223, \"source\": 0, \"target\": 5}, {\"weight\": 12683, \"source\": 0, \"target\": 7}, {\"weight\": 4887, \"source\": 0, \"target\": 3}, {\"weight\": 7173, \"source\": 0, \"target\": 8}, {\"weight\": 1068, \"source\": 1, \"target\": 4}, {\"weight\": 1648, \"source\": 1, \"target\": 2}, {\"weight\": 11443, \"source\": 1, \"target\": 6}, {\"weight\": 12066, \"source\": 1, \"target\": 5}, {\"weight\": 12866, \"source\": 1, \"target\": 7}, {\"weight\": 5156, \"source\": 1, \"target\": 3}, {\"weight\": 8534, \"source\": 1, \"target\": 8}, {\"weight\": 927, \"source\": 2, \"target\": 4}, {\"weight\": 10919, \"source\": 2, \"target\": 6}, {\"weight\": 13106, \"source\": 2, \"target\": 5}, {\"weight\": 12331, \"source\": 2, \"target\": 7}, {\"weight\": 4379, \"source\": 2, \"target\": 3}, {\"weight\": 7055, \"source\": 2, \"target\": 8}, {\"weight\": 4672, \"source\": 3, \"target\": 4}, {\"weight\": 14747, \"source\": 3, \"target\": 6}, {\"weight\": 15537, \"source\": 3, \"target\": 5}, {\"weight\": 16056, \"source\": 3, \"target\": 7}, {\"weight\": 10596, \"source\": 3, \"target\": 8}, {\"weight\": 11135, \"source\": 4, \"target\": 6}, {\"weight\": 12427, \"source\": 4, \"target\": 5}, {\"weight\": 12548, \"source\": 4, \"target\": 7}, {\"weight\": 7821, \"source\": 4, \"target\": 8}, {\"weight\": 18463, \"source\": 5, \"target\": 6}, {\"weight\": 19265, \"source\": 5, \"target\": 7}, {\"weight\": 19998, \"source\": 5, \"target\": 8}, {\"weight\": 1791, \"source\": 6, \"target\": 7}, {\"weight\": 8483, \"source\": 6, \"target\": 8}, {\"weight\": 8794, \"source\": 7, \"target\": 8}]}",
"id": 260,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJA, OLB, GDN, UAK, SZG, RES, SRG, GTO, GDX\n- Travel distances (in kilometers) between each pair of airports:\nPJA to OLB: 3044\nPJA to SZG: 2246\nPJA to GDN: 1741\nPJA to SRG: 11332\nPJA to RES: 14223\nPJA to GTO: 12683\nPJA to UAK: 4887\nPJA to GDX: 7173\nOLB to SZG: 1068\nOLB to GDN: 1648\nOLB to SRG: 11443\nOLB to RES: 12066\nOLB to GTO: 12866\nOLB to UAK: 5156\nOLB to GDX: 8534\nGDN to SZG: 927\nGDN to SRG: 10919\nGDN to RES: 13106\nGDN to GTO: 12331\nGDN to UAK: 4379\nGDN to GDX: 7055\nUAK to SZG: 4672\nUAK to SRG: 14747\nUAK to RES: 15537\nUAK to GTO: 16056\nUAK to GDX: 10596\nSZG to SRG: 11135\nSZG to RES: 12427\nSZG to GTO: 12548\nSZG to GDX: 7821\nRES to SRG: 18463\nRES to GTO: 19265\nRES to GDX: 19998\nSRG to GTO: 1791\nSRG to GDX: 8483\nGTO to GDX: 8794\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DZN, MRE, YHM, UYL, CBH, FCO, OHH, KRN, ELC\n- Travel distances (in kilometers) between each pair of airports:\nDZN to FCO: 6120\nDZN to CBH: 7879\nDZN to MRE: 7462\nDZN to KRN: 6084\nDZN to OHH: 6506\nDZN to UYL: 7028\nDZN to ELC: 9824\nDZN to YHM: 12401\nMRE to FCO: 6302\nMRE to CBH: 7724\nMRE to KRN: 8559\nMRE to OHH: 11832\nMRE to UYL: 3513\nMRE to ELC: 12343\nMRE to YHM: 13413\nYHM to FCO: 7351\nYHM to CBH: 8163\nYHM to KRN: 8257\nYHM to OHH: 12640\nYHM to UYL: 11968\nYHM to ELC: 17388\nUYL to FCO: 4679\nUYL to CBH: 6063\nUYL to KRN: 6874\nUYL to OHH: 11396\nUYL to ELC: 12993\nCBH to FCO: 1774\nCBH to KRN: 4368\nCBH to OHH: 11052\nCBH to ELC: 15569\nFCO to KRN: 2938\nFCO to OHH: 9318\nFCO to ELC: 13902\nOHH to KRN: 8775\nOHH to ELC: 8480\nKRN to ELC: 13963\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59799,
"style": "rule"
}
|
{
"exact_answer": 59799,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DZN\", \"id\": 0}, {\"name\": \"MRE\", \"id\": 1}, {\"name\": \"YHM\", \"id\": 2}, {\"name\": \"UYL\", \"id\": 3}, {\"name\": \"CBH\", \"id\": 4}, {\"name\": \"FCO\", \"id\": 5}, {\"name\": \"OHH\", \"id\": 6}, {\"name\": \"KRN\", \"id\": 7}, {\"name\": \"ELC\", \"id\": 8}], \"links\": [{\"weight\": 6120, \"source\": 0, \"target\": 5}, {\"weight\": 7879, \"source\": 0, \"target\": 4}, {\"weight\": 7462, \"source\": 0, \"target\": 1}, {\"weight\": 6084, \"source\": 0, \"target\": 7}, {\"weight\": 6506, \"source\": 0, \"target\": 6}, {\"weight\": 7028, \"source\": 0, \"target\": 3}, {\"weight\": 9824, \"source\": 0, \"target\": 8}, {\"weight\": 12401, \"source\": 0, \"target\": 2}, {\"weight\": 6302, \"source\": 1, \"target\": 5}, {\"weight\": 7724, \"source\": 1, \"target\": 4}, {\"weight\": 8559, \"source\": 1, \"target\": 7}, {\"weight\": 11832, \"source\": 1, \"target\": 6}, {\"weight\": 3513, \"source\": 1, \"target\": 3}, {\"weight\": 12343, \"source\": 1, \"target\": 8}, {\"weight\": 13413, \"source\": 1, \"target\": 2}, {\"weight\": 7351, \"source\": 2, \"target\": 5}, {\"weight\": 8163, \"source\": 2, \"target\": 4}, {\"weight\": 8257, \"source\": 2, \"target\": 7}, {\"weight\": 12640, \"source\": 2, \"target\": 6}, {\"weight\": 11968, \"source\": 2, \"target\": 3}, {\"weight\": 17388, \"source\": 2, \"target\": 8}, {\"weight\": 4679, \"source\": 3, \"target\": 5}, {\"weight\": 6063, \"source\": 3, \"target\": 4}, {\"weight\": 6874, \"source\": 3, \"target\": 7}, {\"weight\": 11396, \"source\": 3, \"target\": 6}, {\"weight\": 12993, \"source\": 3, \"target\": 8}, {\"weight\": 1774, \"source\": 4, \"target\": 5}, {\"weight\": 4368, \"source\": 4, \"target\": 7}, {\"weight\": 11052, \"source\": 4, \"target\": 6}, {\"weight\": 15569, \"source\": 4, \"target\": 8}, {\"weight\": 2938, \"source\": 5, \"target\": 7}, {\"weight\": 9318, \"source\": 5, \"target\": 6}, {\"weight\": 13902, \"source\": 5, \"target\": 8}, {\"weight\": 8775, \"source\": 6, \"target\": 7}, {\"weight\": 8480, \"source\": 6, \"target\": 8}, {\"weight\": 13963, \"source\": 7, \"target\": 8}]}",
"id": 261,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DZN, MRE, YHM, UYL, CBH, FCO, OHH, KRN, ELC\n- Travel distances (in kilometers) between each pair of airports:\nDZN to FCO: 6120\nDZN to CBH: 7879\nDZN to MRE: 7462\nDZN to KRN: 6084\nDZN to OHH: 6506\nDZN to UYL: 7028\nDZN to ELC: 9824\nDZN to YHM: 12401\nMRE to FCO: 6302\nMRE to CBH: 7724\nMRE to KRN: 8559\nMRE to OHH: 11832\nMRE to UYL: 3513\nMRE to ELC: 12343\nMRE to YHM: 13413\nYHM to FCO: 7351\nYHM to CBH: 8163\nYHM to KRN: 8257\nYHM to OHH: 12640\nYHM to UYL: 11968\nYHM to ELC: 17388\nUYL to FCO: 4679\nUYL to CBH: 6063\nUYL to KRN: 6874\nUYL to OHH: 11396\nUYL to ELC: 12993\nCBH to FCO: 1774\nCBH to KRN: 4368\nCBH to OHH: 11052\nCBH to ELC: 15569\nFCO to KRN: 2938\nFCO to OHH: 9318\nFCO to ELC: 13902\nOHH to KRN: 8775\nOHH to ELC: 8480\nKRN to ELC: 13963\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GUM, FRS, TOH, CAB, TAK, TRV, AXD, ATW\n- Travel distances (in kilometers) between each pair of airports:\nTPP to FRS: 3615\nTPP to TRV: 18651\nTPP to GUM: 17084\nTPP to TAK: 16160\nTPP to AXD: 12887\nTPP to ATW: 6045\nTPP to CAB: 10973\nTPP to TOH: 15529\nGUM to FRS: 13898\nGUM to TRV: 7501\nGUM to TAK: 3121\nGUM to AXD: 12071\nGUM to ATW: 12446\nGUM to CAB: 15109\nGUM to TOH: 7024\nFRS to TRV: 16891\nFRS to TAK: 13006\nFRS to AXD: 11196\nFRS to ATW: 3184\nFRS to CAB: 12447\nFRS to TOH: 14098\nTOH to TRV: 11283\nTOH to TAK: 8669\nTOH to AXD: 17239\nTOH to ATW: 13222\nTOH to CAB: 16899\nCAB to TRV: 8593\nCAB to TAK: 13810\nCAB to AXD: 7061\nCAB to ATW: 12266\nTAK to TRV: 6647\nTAK to AXD: 9616\nTAK to ATW: 10535\nTRV to AXD: 6584\nTRV to ATW: 14519\nAXD to ATW: 9310\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61431,
"style": "rule"
}
|
{
"exact_answer": 61431,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TPP\", \"id\": 0}, {\"name\": \"GUM\", \"id\": 1}, {\"name\": \"FRS\", \"id\": 2}, {\"name\": \"TOH\", \"id\": 3}, {\"name\": \"CAB\", \"id\": 4}, {\"name\": \"TAK\", \"id\": 5}, {\"name\": \"TRV\", \"id\": 6}, {\"name\": \"AXD\", \"id\": 7}, {\"name\": \"ATW\", \"id\": 8}], \"links\": [{\"weight\": 3615, \"source\": 0, \"target\": 2}, {\"weight\": 18651, \"source\": 0, \"target\": 6}, {\"weight\": 17084, \"source\": 0, \"target\": 1}, {\"weight\": 16160, \"source\": 0, \"target\": 5}, {\"weight\": 12887, \"source\": 0, \"target\": 7}, {\"weight\": 6045, \"source\": 0, \"target\": 8}, {\"weight\": 10973, \"source\": 0, \"target\": 4}, {\"weight\": 15529, \"source\": 0, \"target\": 3}, {\"weight\": 13898, \"source\": 1, \"target\": 2}, {\"weight\": 7501, \"source\": 1, \"target\": 6}, {\"weight\": 3121, \"source\": 1, \"target\": 5}, {\"weight\": 12071, \"source\": 1, \"target\": 7}, {\"weight\": 12446, \"source\": 1, \"target\": 8}, {\"weight\": 15109, \"source\": 1, \"target\": 4}, {\"weight\": 7024, \"source\": 1, \"target\": 3}, {\"weight\": 16891, \"source\": 2, \"target\": 6}, {\"weight\": 13006, \"source\": 2, \"target\": 5}, {\"weight\": 11196, \"source\": 2, \"target\": 7}, {\"weight\": 3184, \"source\": 2, \"target\": 8}, {\"weight\": 12447, \"source\": 2, \"target\": 4}, {\"weight\": 14098, \"source\": 2, \"target\": 3}, {\"weight\": 11283, \"source\": 3, \"target\": 6}, {\"weight\": 8669, \"source\": 3, \"target\": 5}, {\"weight\": 17239, \"source\": 3, \"target\": 7}, {\"weight\": 13222, \"source\": 3, \"target\": 8}, {\"weight\": 16899, \"source\": 3, \"target\": 4}, {\"weight\": 8593, \"source\": 4, \"target\": 6}, {\"weight\": 13810, \"source\": 4, \"target\": 5}, {\"weight\": 7061, \"source\": 4, \"target\": 7}, {\"weight\": 12266, \"source\": 4, \"target\": 8}, {\"weight\": 6647, \"source\": 5, \"target\": 6}, {\"weight\": 9616, \"source\": 5, \"target\": 7}, {\"weight\": 10535, \"source\": 5, \"target\": 8}, {\"weight\": 6584, \"source\": 6, \"target\": 7}, {\"weight\": 14519, \"source\": 6, \"target\": 8}, {\"weight\": 9310, \"source\": 7, \"target\": 8}]}",
"id": 262,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GUM, FRS, TOH, CAB, TAK, TRV, AXD, ATW\n- Travel distances (in kilometers) between each pair of airports:\nTPP to FRS: 3615\nTPP to TRV: 18651\nTPP to GUM: 17084\nTPP to TAK: 16160\nTPP to AXD: 12887\nTPP to ATW: 6045\nTPP to CAB: 10973\nTPP to TOH: 15529\nGUM to FRS: 13898\nGUM to TRV: 7501\nGUM to TAK: 3121\nGUM to AXD: 12071\nGUM to ATW: 12446\nGUM to CAB: 15109\nGUM to TOH: 7024\nFRS to TRV: 16891\nFRS to TAK: 13006\nFRS to AXD: 11196\nFRS to ATW: 3184\nFRS to CAB: 12447\nFRS to TOH: 14098\nTOH to TRV: 11283\nTOH to TAK: 8669\nTOH to AXD: 17239\nTOH to ATW: 13222\nTOH to CAB: 16899\nCAB to TRV: 8593\nCAB to TAK: 13810\nCAB to AXD: 7061\nCAB to ATW: 12266\nTAK to TRV: 6647\nTAK to AXD: 9616\nTAK to ATW: 10535\nTRV to AXD: 6584\nTRV to ATW: 14519\nAXD to ATW: 9310\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, YBK, AUX, SMR, SFT, SBP, KPR, RVN, IGG\n- Travel distances (in kilometers) between each pair of airports:\nMFE to KPR: 6147\nMFE to AUX: 7259\nMFE to YBK: 4463\nMFE to SBP: 2575\nMFE to SMR: 4274\nMFE to RVN: 9878\nMFE to SFT: 9430\nMFE to IGG: 6193\nYBK to KPR: 6131\nYBK to AUX: 9768\nYBK to SBP: 4437\nYBK to SMR: 7561\nYBK to RVN: 10115\nYBK to SFT: 9610\nYBK to IGG: 6177\nAUX to KPR: 11998\nAUX to SBP: 9187\nAUX to SMR: 4780\nAUX to RVN: 11199\nAUX to SFT: 10635\nAUX to IGG: 12044\nSMR to KPR: 9713\nSMR to SBP: 6204\nSMR to RVN: 11591\nSMR to SFT: 11103\nSMR to IGG: 9759\nSFT to KPR: 11353\nSFT to SBP: 9689\nSFT to RVN: 1669\nSFT to IGG: 11399\nSBP to KPR: 4167\nSBP to RVN: 10206\nSBP to IGG: 4213\nKPR to RVN: 11774\nKPR to IGG: 1044\nRVN to IGG: 11820\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45436,
"style": "rule"
}
|
{
"exact_answer": 45436,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MFE\", \"id\": 0}, {\"name\": \"YBK\", \"id\": 1}, {\"name\": \"AUX\", \"id\": 2}, {\"name\": \"SMR\", \"id\": 3}, {\"name\": \"SFT\", \"id\": 4}, {\"name\": \"SBP\", \"id\": 5}, {\"name\": \"KPR\", \"id\": 6}, {\"name\": \"RVN\", \"id\": 7}, {\"name\": \"IGG\", \"id\": 8}], \"links\": [{\"weight\": 6147, \"source\": 0, \"target\": 6}, {\"weight\": 7259, \"source\": 0, \"target\": 2}, {\"weight\": 4463, \"source\": 0, \"target\": 1}, {\"weight\": 2575, \"source\": 0, \"target\": 5}, {\"weight\": 4274, \"source\": 0, \"target\": 3}, {\"weight\": 9878, \"source\": 0, \"target\": 7}, {\"weight\": 9430, \"source\": 0, \"target\": 4}, {\"weight\": 6193, \"source\": 0, \"target\": 8}, {\"weight\": 6131, \"source\": 1, \"target\": 6}, {\"weight\": 9768, \"source\": 1, \"target\": 2}, {\"weight\": 4437, \"source\": 1, \"target\": 5}, {\"weight\": 7561, \"source\": 1, \"target\": 3}, {\"weight\": 10115, \"source\": 1, \"target\": 7}, {\"weight\": 9610, \"source\": 1, \"target\": 4}, {\"weight\": 6177, \"source\": 1, \"target\": 8}, {\"weight\": 11998, \"source\": 2, \"target\": 6}, {\"weight\": 9187, \"source\": 2, \"target\": 5}, {\"weight\": 4780, \"source\": 2, \"target\": 3}, {\"weight\": 11199, \"source\": 2, \"target\": 7}, {\"weight\": 10635, \"source\": 2, \"target\": 4}, {\"weight\": 12044, \"source\": 2, \"target\": 8}, {\"weight\": 9713, \"source\": 3, \"target\": 6}, {\"weight\": 6204, \"source\": 3, \"target\": 5}, {\"weight\": 11591, \"source\": 3, \"target\": 7}, {\"weight\": 11103, \"source\": 3, \"target\": 4}, {\"weight\": 9759, \"source\": 3, \"target\": 8}, {\"weight\": 11353, \"source\": 4, \"target\": 6}, {\"weight\": 9689, \"source\": 4, \"target\": 5}, {\"weight\": 1669, \"source\": 4, \"target\": 7}, {\"weight\": 11399, \"source\": 4, \"target\": 8}, {\"weight\": 4167, \"source\": 5, \"target\": 6}, {\"weight\": 10206, \"source\": 5, \"target\": 7}, {\"weight\": 4213, \"source\": 5, \"target\": 8}, {\"weight\": 11774, \"source\": 6, \"target\": 7}, {\"weight\": 1044, \"source\": 6, \"target\": 8}, {\"weight\": 11820, \"source\": 7, \"target\": 8}]}",
"id": 263,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, YBK, AUX, SMR, SFT, SBP, KPR, RVN, IGG\n- Travel distances (in kilometers) between each pair of airports:\nMFE to KPR: 6147\nMFE to AUX: 7259\nMFE to YBK: 4463\nMFE to SBP: 2575\nMFE to SMR: 4274\nMFE to RVN: 9878\nMFE to SFT: 9430\nMFE to IGG: 6193\nYBK to KPR: 6131\nYBK to AUX: 9768\nYBK to SBP: 4437\nYBK to SMR: 7561\nYBK to RVN: 10115\nYBK to SFT: 9610\nYBK to IGG: 6177\nAUX to KPR: 11998\nAUX to SBP: 9187\nAUX to SMR: 4780\nAUX to RVN: 11199\nAUX to SFT: 10635\nAUX to IGG: 12044\nSMR to KPR: 9713\nSMR to SBP: 6204\nSMR to RVN: 11591\nSMR to SFT: 11103\nSMR to IGG: 9759\nSFT to KPR: 11353\nSFT to SBP: 9689\nSFT to RVN: 1669\nSFT to IGG: 11399\nSBP to KPR: 4167\nSBP to RVN: 10206\nSBP to IGG: 4213\nKPR to RVN: 11774\nKPR to IGG: 1044\nRVN to IGG: 11820\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIR, SUG, JOG, JGS, WJU, WMN, WMR, EFL, ABI\n- Travel distances (in kilometers) between each pair of airports:\nPIR to SUG: 13365\nPIR to EFL: 9240\nPIR to ABI: 1904\nPIR to JOG: 15870\nPIR to JGS: 12374\nPIR to WJU: 11503\nPIR to WMN: 16215\nPIR to WMR: 16519\nSUG to EFL: 10723\nSUG to ABI: 14029\nSUG to JOG: 3085\nSUG to JGS: 2299\nSUG to WJU: 3413\nSUG to WMN: 9460\nSUG to WMR: 9381\nJOG to EFL: 10575\nJOG to ABI: 16534\nJOG to JGS: 4116\nJOG to WJU: 5508\nJOG to WMN: 8205\nJOG to WMR: 8126\nJGS to EFL: 8689\nJGS to ABI: 13038\nJGS to WJU: 2169\nJGS to WMN: 9424\nJGS to WMR: 9418\nWJU to EFL: 9514\nWJU to ABI: 12135\nWJU to WMN: 11131\nWJU to WMR: 11052\nWMN to EFL: 7327\nWMN to ABI: 16835\nWMN to WMR: 519\nWMR to EFL: 7616\nWMR to ABI: 17131\nEFL to ABI: 10092\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46804,
"style": "rule"
}
|
{
"exact_answer": 46804,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PIR\", \"id\": 0}, {\"name\": \"SUG\", \"id\": 1}, {\"name\": \"JOG\", \"id\": 2}, {\"name\": \"JGS\", \"id\": 3}, {\"name\": \"WJU\", \"id\": 4}, {\"name\": \"WMN\", \"id\": 5}, {\"name\": \"WMR\", \"id\": 6}, {\"name\": \"EFL\", \"id\": 7}, {\"name\": \"ABI\", \"id\": 8}], \"links\": [{\"weight\": 13365, \"source\": 0, \"target\": 1}, {\"weight\": 9240, \"source\": 0, \"target\": 7}, {\"weight\": 1904, \"source\": 0, \"target\": 8}, {\"weight\": 15870, \"source\": 0, \"target\": 2}, {\"weight\": 12374, \"source\": 0, \"target\": 3}, {\"weight\": 11503, \"source\": 0, \"target\": 4}, {\"weight\": 16215, \"source\": 0, \"target\": 5}, {\"weight\": 16519, \"source\": 0, \"target\": 6}, {\"weight\": 10723, \"source\": 1, \"target\": 7}, {\"weight\": 14029, \"source\": 1, \"target\": 8}, {\"weight\": 3085, \"source\": 1, \"target\": 2}, {\"weight\": 2299, \"source\": 1, \"target\": 3}, {\"weight\": 3413, \"source\": 1, \"target\": 4}, {\"weight\": 9460, \"source\": 1, \"target\": 5}, {\"weight\": 9381, \"source\": 1, \"target\": 6}, {\"weight\": 10575, \"source\": 2, \"target\": 7}, {\"weight\": 16534, \"source\": 2, \"target\": 8}, {\"weight\": 4116, \"source\": 2, \"target\": 3}, {\"weight\": 5508, \"source\": 2, \"target\": 4}, {\"weight\": 8205, \"source\": 2, \"target\": 5}, {\"weight\": 8126, \"source\": 2, \"target\": 6}, {\"weight\": 8689, \"source\": 3, \"target\": 7}, {\"weight\": 13038, \"source\": 3, \"target\": 8}, {\"weight\": 2169, \"source\": 3, \"target\": 4}, {\"weight\": 9424, \"source\": 3, \"target\": 5}, {\"weight\": 9418, \"source\": 3, \"target\": 6}, {\"weight\": 9514, \"source\": 4, \"target\": 7}, {\"weight\": 12135, \"source\": 4, \"target\": 8}, {\"weight\": 11131, \"source\": 4, \"target\": 5}, {\"weight\": 11052, \"source\": 4, \"target\": 6}, {\"weight\": 7327, \"source\": 5, \"target\": 7}, {\"weight\": 16835, \"source\": 5, \"target\": 8}, {\"weight\": 519, \"source\": 5, \"target\": 6}, {\"weight\": 7616, \"source\": 6, \"target\": 7}, {\"weight\": 17131, \"source\": 6, \"target\": 8}, {\"weight\": 10092, \"source\": 7, \"target\": 8}]}",
"id": 264,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIR, SUG, JOG, JGS, WJU, WMN, WMR, EFL, ABI\n- Travel distances (in kilometers) between each pair of airports:\nPIR to SUG: 13365\nPIR to EFL: 9240\nPIR to ABI: 1904\nPIR to JOG: 15870\nPIR to JGS: 12374\nPIR to WJU: 11503\nPIR to WMN: 16215\nPIR to WMR: 16519\nSUG to EFL: 10723\nSUG to ABI: 14029\nSUG to JOG: 3085\nSUG to JGS: 2299\nSUG to WJU: 3413\nSUG to WMN: 9460\nSUG to WMR: 9381\nJOG to EFL: 10575\nJOG to ABI: 16534\nJOG to JGS: 4116\nJOG to WJU: 5508\nJOG to WMN: 8205\nJOG to WMR: 8126\nJGS to EFL: 8689\nJGS to ABI: 13038\nJGS to WJU: 2169\nJGS to WMN: 9424\nJGS to WMR: 9418\nWJU to EFL: 9514\nWJU to ABI: 12135\nWJU to WMN: 11131\nWJU to WMR: 11052\nWMN to EFL: 7327\nWMN to ABI: 16835\nWMN to WMR: 519\nWMR to EFL: 7616\nWMR to ABI: 17131\nEFL to ABI: 10092\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HZH, PQI, ROC, TBG, NGS, SCC, IUI, LTD, JJU\n- Travel distances (in kilometers) between each pair of airports:\nHZH to SCC: 13728\nHZH to ROC: 12720\nHZH to PQI: 13800\nHZH to NGS: 2523\nHZH to TBG: 6536\nHZH to IUI: 12195\nHZH to JJU: 11676\nHZH to LTD: 9652\nPQI to SCC: 7384\nPQI to ROC: 1084\nPQI to NGS: 12305\nPQI to TBG: 17177\nPQI to IUI: 6849\nPQI to JJU: 6330\nPQI to LTD: 8160\nROC to SCC: 6304\nROC to NGS: 11381\nROC to TBG: 16351\nROC to IUI: 6780\nROC to JJU: 6261\nROC to LTD: 8176\nTBG to SCC: 14780\nTBG to NGS: 6894\nTBG to IUI: 18563\nTBG to JJU: 18044\nTBG to LTD: 15983\nNGS to SCC: 11722\nNGS to IUI: 12512\nNGS to JJU: 11993\nNGS to LTD: 10626\nSCC to IUI: 11311\nSCC to JJU: 10792\nSCC to LTD: 13555\nIUI to JJU: 1485\nIUI to LTD: 7130\nLTD to JJU: 6611\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56182,
"style": "rule"
}
|
{
"exact_answer": 56182,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HZH\", \"id\": 0}, {\"name\": \"PQI\", \"id\": 1}, {\"name\": \"ROC\", \"id\": 2}, {\"name\": \"TBG\", \"id\": 3}, {\"name\": \"NGS\", \"id\": 4}, {\"name\": \"SCC\", \"id\": 5}, {\"name\": \"IUI\", \"id\": 6}, {\"name\": \"LTD\", \"id\": 7}, {\"name\": \"JJU\", \"id\": 8}], \"links\": [{\"weight\": 13728, \"source\": 0, \"target\": 5}, {\"weight\": 12720, \"source\": 0, \"target\": 2}, {\"weight\": 13800, \"source\": 0, \"target\": 1}, {\"weight\": 2523, \"source\": 0, \"target\": 4}, {\"weight\": 6536, \"source\": 0, \"target\": 3}, {\"weight\": 12195, \"source\": 0, \"target\": 6}, {\"weight\": 11676, \"source\": 0, \"target\": 8}, {\"weight\": 9652, \"source\": 0, \"target\": 7}, {\"weight\": 7384, \"source\": 1, \"target\": 5}, {\"weight\": 1084, \"source\": 1, \"target\": 2}, {\"weight\": 12305, \"source\": 1, \"target\": 4}, {\"weight\": 17177, \"source\": 1, \"target\": 3}, {\"weight\": 6849, \"source\": 1, \"target\": 6}, {\"weight\": 6330, \"source\": 1, \"target\": 8}, {\"weight\": 8160, \"source\": 1, \"target\": 7}, {\"weight\": 6304, \"source\": 2, \"target\": 5}, {\"weight\": 11381, \"source\": 2, \"target\": 4}, {\"weight\": 16351, \"source\": 2, \"target\": 3}, {\"weight\": 6780, \"source\": 2, \"target\": 6}, {\"weight\": 6261, \"source\": 2, \"target\": 8}, {\"weight\": 8176, \"source\": 2, \"target\": 7}, {\"weight\": 14780, \"source\": 3, \"target\": 5}, {\"weight\": 6894, \"source\": 3, \"target\": 4}, {\"weight\": 18563, \"source\": 3, \"target\": 6}, {\"weight\": 18044, \"source\": 3, \"target\": 8}, {\"weight\": 15983, \"source\": 3, \"target\": 7}, {\"weight\": 11722, \"source\": 4, \"target\": 5}, {\"weight\": 12512, \"source\": 4, \"target\": 6}, {\"weight\": 11993, \"source\": 4, \"target\": 8}, {\"weight\": 10626, \"source\": 4, \"target\": 7}, {\"weight\": 11311, \"source\": 5, \"target\": 6}, {\"weight\": 10792, \"source\": 5, \"target\": 8}, {\"weight\": 13555, \"source\": 5, \"target\": 7}, {\"weight\": 1485, \"source\": 6, \"target\": 8}, {\"weight\": 7130, \"source\": 6, \"target\": 7}, {\"weight\": 6611, \"source\": 7, \"target\": 8}]}",
"id": 265,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HZH, PQI, ROC, TBG, NGS, SCC, IUI, LTD, JJU\n- Travel distances (in kilometers) between each pair of airports:\nHZH to SCC: 13728\nHZH to ROC: 12720\nHZH to PQI: 13800\nHZH to NGS: 2523\nHZH to TBG: 6536\nHZH to IUI: 12195\nHZH to JJU: 11676\nHZH to LTD: 9652\nPQI to SCC: 7384\nPQI to ROC: 1084\nPQI to NGS: 12305\nPQI to TBG: 17177\nPQI to IUI: 6849\nPQI to JJU: 6330\nPQI to LTD: 8160\nROC to SCC: 6304\nROC to NGS: 11381\nROC to TBG: 16351\nROC to IUI: 6780\nROC to JJU: 6261\nROC to LTD: 8176\nTBG to SCC: 14780\nTBG to NGS: 6894\nTBG to IUI: 18563\nTBG to JJU: 18044\nTBG to LTD: 15983\nNGS to SCC: 11722\nNGS to IUI: 12512\nNGS to JJU: 11993\nNGS to LTD: 10626\nSCC to IUI: 11311\nSCC to JJU: 10792\nSCC to LTD: 13555\nIUI to JJU: 1485\nIUI to LTD: 7130\nLTD to JJU: 6611\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YAK, HUY, GEL, TIJ, VDM, YBP, KSJ, GRW\n- Travel distances (in kilometers) between each pair of airports:\nUYU to YBP: 19501\nUYU to TIJ: 8090\nUYU to KSJ: 12726\nUYU to VDM: 3885\nUYU to YAK: 11286\nUYU to HUY: 11752\nUYU to GEL: 4065\nUYU to GRW: 10848\nYAK to YBP: 12124\nYAK to TIJ: 4733\nYAK to KSJ: 12207\nYAK to VDM: 13796\nYAK to HUY: 9592\nYAK to GEL: 13282\nYAK to GRW: 9851\nHUY to YBP: 9039\nHUY to TIJ: 9871\nHUY to KSJ: 2966\nHUY to VDM: 12521\nHUY to GEL: 11245\nHUY to GRW: 3482\nGEL to YBP: 18554\nGEL to TIJ: 10229\nGEL to KSJ: 12103\nGEL to VDM: 2004\nGEL to GRW: 9663\nTIJ to YBP: 12300\nTIJ to KSJ: 12462\nTIJ to VDM: 10521\nTIJ to GRW: 8714\nVDM to YBP: 19863\nVDM to KSJ: 13393\nVDM to GRW: 10937\nYBP to KSJ: 8450\nYBP to GRW: 11711\nKSJ to GRW: 4901\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55397,
"style": "rule"
}
|
{
"exact_answer": 55397,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UYU\", \"id\": 0}, {\"name\": \"YAK\", \"id\": 1}, {\"name\": \"HUY\", \"id\": 2}, {\"name\": \"GEL\", \"id\": 3}, {\"name\": \"TIJ\", \"id\": 4}, {\"name\": \"VDM\", \"id\": 5}, {\"name\": \"YBP\", \"id\": 6}, {\"name\": \"KSJ\", \"id\": 7}, {\"name\": \"GRW\", \"id\": 8}], \"links\": [{\"weight\": 19501, \"source\": 0, \"target\": 6}, {\"weight\": 8090, \"source\": 0, \"target\": 4}, {\"weight\": 12726, \"source\": 0, \"target\": 7}, {\"weight\": 3885, \"source\": 0, \"target\": 5}, {\"weight\": 11286, \"source\": 0, \"target\": 1}, {\"weight\": 11752, \"source\": 0, \"target\": 2}, {\"weight\": 4065, \"source\": 0, \"target\": 3}, {\"weight\": 10848, \"source\": 0, \"target\": 8}, {\"weight\": 12124, \"source\": 1, \"target\": 6}, {\"weight\": 4733, \"source\": 1, \"target\": 4}, {\"weight\": 12207, \"source\": 1, \"target\": 7}, {\"weight\": 13796, \"source\": 1, \"target\": 5}, {\"weight\": 9592, \"source\": 1, \"target\": 2}, {\"weight\": 13282, \"source\": 1, \"target\": 3}, {\"weight\": 9851, \"source\": 1, \"target\": 8}, {\"weight\": 9039, \"source\": 2, \"target\": 6}, {\"weight\": 9871, \"source\": 2, \"target\": 4}, {\"weight\": 2966, \"source\": 2, \"target\": 7}, {\"weight\": 12521, \"source\": 2, \"target\": 5}, {\"weight\": 11245, \"source\": 2, \"target\": 3}, {\"weight\": 3482, \"source\": 2, \"target\": 8}, {\"weight\": 18554, \"source\": 3, \"target\": 6}, {\"weight\": 10229, \"source\": 3, \"target\": 4}, {\"weight\": 12103, \"source\": 3, \"target\": 7}, {\"weight\": 2004, \"source\": 3, \"target\": 5}, {\"weight\": 9663, \"source\": 3, \"target\": 8}, {\"weight\": 12300, \"source\": 4, \"target\": 6}, {\"weight\": 12462, \"source\": 4, \"target\": 7}, {\"weight\": 10521, \"source\": 4, \"target\": 5}, {\"weight\": 8714, \"source\": 4, \"target\": 8}, {\"weight\": 19863, \"source\": 5, \"target\": 6}, {\"weight\": 13393, \"source\": 5, \"target\": 7}, {\"weight\": 10937, \"source\": 5, \"target\": 8}, {\"weight\": 8450, \"source\": 6, \"target\": 7}, {\"weight\": 11711, \"source\": 6, \"target\": 8}, {\"weight\": 4901, \"source\": 7, \"target\": 8}]}",
"id": 266,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YAK, HUY, GEL, TIJ, VDM, YBP, KSJ, GRW\n- Travel distances (in kilometers) between each pair of airports:\nUYU to YBP: 19501\nUYU to TIJ: 8090\nUYU to KSJ: 12726\nUYU to VDM: 3885\nUYU to YAK: 11286\nUYU to HUY: 11752\nUYU to GEL: 4065\nUYU to GRW: 10848\nYAK to YBP: 12124\nYAK to TIJ: 4733\nYAK to KSJ: 12207\nYAK to VDM: 13796\nYAK to HUY: 9592\nYAK to GEL: 13282\nYAK to GRW: 9851\nHUY to YBP: 9039\nHUY to TIJ: 9871\nHUY to KSJ: 2966\nHUY to VDM: 12521\nHUY to GEL: 11245\nHUY to GRW: 3482\nGEL to YBP: 18554\nGEL to TIJ: 10229\nGEL to KSJ: 12103\nGEL to VDM: 2004\nGEL to GRW: 9663\nTIJ to YBP: 12300\nTIJ to KSJ: 12462\nTIJ to VDM: 10521\nTIJ to GRW: 8714\nVDM to YBP: 19863\nVDM to KSJ: 13393\nVDM to GRW: 10937\nYBP to KSJ: 8450\nYBP to GRW: 11711\nKSJ to GRW: 4901\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGB, PHE, BKZ, RDV, YIH, KWI, HEL, DEN, YKG\n- Travel distances (in kilometers) between each pair of airports:\nUGB to YKG: 7303\nUGB to YIH: 12762\nUGB to HEL: 11194\nUGB to RDV: 1248\nUGB to KWI: 15058\nUGB to DEN: 4477\nUGB to BKZ: 18091\nUGB to PHE: 16220\nPHE to YKG: 18539\nPHE to YIH: 5754\nPHE to HEL: 12210\nPHE to RDV: 16240\nPHE to KWI: 9690\nPHE to DEN: 16247\nPHE to BKZ: 10805\nBKZ to YKG: 13279\nBKZ to YIH: 9259\nBKZ to HEL: 7582\nBKZ to RDV: 18111\nBKZ to KWI: 4246\nBKZ to DEN: 14976\nRDV to YKG: 7323\nRDV to YIH: 12782\nRDV to HEL: 11214\nRDV to KWI: 15078\nRDV to DEN: 4497\nYIH to YKG: 13893\nYIH to HEL: 6895\nYIH to KWI: 6191\nYIH to DEN: 11425\nKWI to YKG: 10473\nKWI to HEL: 4134\nKWI to DEN: 12034\nHEL to YKG: 7646\nHEL to DEN: 8170\nDEN to YKG: 3708\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54800,
"style": "rule"
}
|
{
"exact_answer": 54800,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UGB\", \"id\": 0}, {\"name\": \"PHE\", \"id\": 1}, {\"name\": \"BKZ\", \"id\": 2}, {\"name\": \"RDV\", \"id\": 3}, {\"name\": \"YIH\", \"id\": 4}, {\"name\": \"KWI\", \"id\": 5}, {\"name\": \"HEL\", \"id\": 6}, {\"name\": \"DEN\", \"id\": 7}, {\"name\": \"YKG\", \"id\": 8}], \"links\": [{\"weight\": 7303, \"source\": 0, \"target\": 8}, {\"weight\": 12762, \"source\": 0, \"target\": 4}, {\"weight\": 11194, \"source\": 0, \"target\": 6}, {\"weight\": 1248, \"source\": 0, \"target\": 3}, {\"weight\": 15058, \"source\": 0, \"target\": 5}, {\"weight\": 4477, \"source\": 0, \"target\": 7}, {\"weight\": 18091, \"source\": 0, \"target\": 2}, {\"weight\": 16220, \"source\": 0, \"target\": 1}, {\"weight\": 18539, \"source\": 1, \"target\": 8}, {\"weight\": 5754, \"source\": 1, \"target\": 4}, {\"weight\": 12210, \"source\": 1, \"target\": 6}, {\"weight\": 16240, \"source\": 1, \"target\": 3}, {\"weight\": 9690, \"source\": 1, \"target\": 5}, {\"weight\": 16247, \"source\": 1, \"target\": 7}, {\"weight\": 10805, \"source\": 1, \"target\": 2}, {\"weight\": 13279, \"source\": 2, \"target\": 8}, {\"weight\": 9259, \"source\": 2, \"target\": 4}, {\"weight\": 7582, \"source\": 2, \"target\": 6}, {\"weight\": 18111, \"source\": 2, \"target\": 3}, {\"weight\": 4246, \"source\": 2, \"target\": 5}, {\"weight\": 14976, \"source\": 2, \"target\": 7}, {\"weight\": 7323, \"source\": 3, \"target\": 8}, {\"weight\": 12782, \"source\": 3, \"target\": 4}, {\"weight\": 11214, \"source\": 3, \"target\": 6}, {\"weight\": 15078, \"source\": 3, \"target\": 5}, {\"weight\": 4497, \"source\": 3, \"target\": 7}, {\"weight\": 13893, \"source\": 4, \"target\": 8}, {\"weight\": 6895, \"source\": 4, \"target\": 6}, {\"weight\": 6191, \"source\": 4, \"target\": 5}, {\"weight\": 11425, \"source\": 4, \"target\": 7}, {\"weight\": 10473, \"source\": 5, \"target\": 8}, {\"weight\": 4134, \"source\": 5, \"target\": 6}, {\"weight\": 12034, \"source\": 5, \"target\": 7}, {\"weight\": 7646, \"source\": 6, \"target\": 8}, {\"weight\": 8170, \"source\": 6, \"target\": 7}, {\"weight\": 3708, \"source\": 7, \"target\": 8}]}",
"id": 267,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGB, PHE, BKZ, RDV, YIH, KWI, HEL, DEN, YKG\n- Travel distances (in kilometers) between each pair of airports:\nUGB to YKG: 7303\nUGB to YIH: 12762\nUGB to HEL: 11194\nUGB to RDV: 1248\nUGB to KWI: 15058\nUGB to DEN: 4477\nUGB to BKZ: 18091\nUGB to PHE: 16220\nPHE to YKG: 18539\nPHE to YIH: 5754\nPHE to HEL: 12210\nPHE to RDV: 16240\nPHE to KWI: 9690\nPHE to DEN: 16247\nPHE to BKZ: 10805\nBKZ to YKG: 13279\nBKZ to YIH: 9259\nBKZ to HEL: 7582\nBKZ to RDV: 18111\nBKZ to KWI: 4246\nBKZ to DEN: 14976\nRDV to YKG: 7323\nRDV to YIH: 12782\nRDV to HEL: 11214\nRDV to KWI: 15078\nRDV to DEN: 4497\nYIH to YKG: 13893\nYIH to HEL: 6895\nYIH to KWI: 6191\nYIH to DEN: 11425\nKWI to YKG: 10473\nKWI to HEL: 4134\nKWI to DEN: 12034\nHEL to YKG: 7646\nHEL to DEN: 8170\nDEN to YKG: 3708\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCE, SAB, YPY, KGA, NOJ, WNN, YIK, HUX, GDV\n- Travel distances (in kilometers) between each pair of airports:\nRCE to YIK: 4318\nRCE to HUX: 4446\nRCE to GDV: 1532\nRCE to KGA: 15055\nRCE to YPY: 1678\nRCE to SAB: 6432\nRCE to WNN: 2808\nRCE to NOJ: 11563\nSAB to YIK: 5196\nSAB to HUX: 4430\nSAB to GDV: 5650\nSAB to KGA: 12171\nSAB to YPY: 6160\nSAB to WNN: 4826\nSAB to NOJ: 11412\nYPY to YIK: 4078\nYPY to HUX: 4998\nYPY to GDV: 2920\nYPY to KGA: 14516\nYPY to WNN: 2568\nYPY to NOJ: 11164\nKGA to YIK: 13254\nKGA to HUX: 14586\nKGA to GDV: 14228\nKGA to WNN: 13182\nKGA to NOJ: 9987\nNOJ to YIK: 11170\nNOJ to HUX: 13364\nNOJ to GDV: 12386\nNOJ to WNN: 11315\nWNN to YIK: 2899\nWNN to HUX: 4630\nWNN to GDV: 2903\nYIK to HUX: 5888\nYIK to GDV: 4413\nHUX to GDV: 3891\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50326,
"style": "rule"
}
|
{
"exact_answer": 50326,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RCE\", \"id\": 0}, {\"name\": \"SAB\", \"id\": 1}, {\"name\": \"YPY\", \"id\": 2}, {\"name\": \"KGA\", \"id\": 3}, {\"name\": \"NOJ\", \"id\": 4}, {\"name\": \"WNN\", \"id\": 5}, {\"name\": \"YIK\", \"id\": 6}, {\"name\": \"HUX\", \"id\": 7}, {\"name\": \"GDV\", \"id\": 8}], \"links\": [{\"weight\": 4318, \"source\": 0, \"target\": 6}, {\"weight\": 4446, \"source\": 0, \"target\": 7}, {\"weight\": 1532, \"source\": 0, \"target\": 8}, {\"weight\": 15055, \"source\": 0, \"target\": 3}, {\"weight\": 1678, \"source\": 0, \"target\": 2}, {\"weight\": 6432, \"source\": 0, \"target\": 1}, {\"weight\": 2808, \"source\": 0, \"target\": 5}, {\"weight\": 11563, \"source\": 0, \"target\": 4}, {\"weight\": 5196, \"source\": 1, \"target\": 6}, {\"weight\": 4430, \"source\": 1, \"target\": 7}, {\"weight\": 5650, \"source\": 1, \"target\": 8}, {\"weight\": 12171, \"source\": 1, \"target\": 3}, {\"weight\": 6160, \"source\": 1, \"target\": 2}, {\"weight\": 4826, \"source\": 1, \"target\": 5}, {\"weight\": 11412, \"source\": 1, \"target\": 4}, {\"weight\": 4078, \"source\": 2, \"target\": 6}, {\"weight\": 4998, \"source\": 2, \"target\": 7}, {\"weight\": 2920, \"source\": 2, \"target\": 8}, {\"weight\": 14516, \"source\": 2, \"target\": 3}, {\"weight\": 2568, \"source\": 2, \"target\": 5}, {\"weight\": 11164, \"source\": 2, \"target\": 4}, {\"weight\": 13254, \"source\": 3, \"target\": 6}, {\"weight\": 14586, \"source\": 3, \"target\": 7}, {\"weight\": 14228, \"source\": 3, \"target\": 8}, {\"weight\": 13182, \"source\": 3, \"target\": 5}, {\"weight\": 9987, \"source\": 3, \"target\": 4}, {\"weight\": 11170, \"source\": 4, \"target\": 6}, {\"weight\": 13364, \"source\": 4, \"target\": 7}, {\"weight\": 12386, \"source\": 4, \"target\": 8}, {\"weight\": 11315, \"source\": 4, \"target\": 5}, {\"weight\": 2899, \"source\": 5, \"target\": 6}, {\"weight\": 4630, \"source\": 5, \"target\": 7}, {\"weight\": 2903, \"source\": 5, \"target\": 8}, {\"weight\": 5888, \"source\": 6, \"target\": 7}, {\"weight\": 4413, \"source\": 6, \"target\": 8}, {\"weight\": 3891, \"source\": 7, \"target\": 8}]}",
"id": 268,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCE, SAB, YPY, KGA, NOJ, WNN, YIK, HUX, GDV\n- Travel distances (in kilometers) between each pair of airports:\nRCE to YIK: 4318\nRCE to HUX: 4446\nRCE to GDV: 1532\nRCE to KGA: 15055\nRCE to YPY: 1678\nRCE to SAB: 6432\nRCE to WNN: 2808\nRCE to NOJ: 11563\nSAB to YIK: 5196\nSAB to HUX: 4430\nSAB to GDV: 5650\nSAB to KGA: 12171\nSAB to YPY: 6160\nSAB to WNN: 4826\nSAB to NOJ: 11412\nYPY to YIK: 4078\nYPY to HUX: 4998\nYPY to GDV: 2920\nYPY to KGA: 14516\nYPY to WNN: 2568\nYPY to NOJ: 11164\nKGA to YIK: 13254\nKGA to HUX: 14586\nKGA to GDV: 14228\nKGA to WNN: 13182\nKGA to NOJ: 9987\nNOJ to YIK: 11170\nNOJ to HUX: 13364\nNOJ to GDV: 12386\nNOJ to WNN: 11315\nWNN to YIK: 2899\nWNN to HUX: 4630\nWNN to GDV: 2903\nYIK to HUX: 5888\nYIK to GDV: 4413\nHUX to GDV: 3891\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYQ, ZAL, LXR, UIN, NOP, RDU, SVK, BRN, GCM\n- Travel distances (in kilometers) between each pair of airports:\nSYQ to UIN: 3661\nSYQ to GCM: 1739\nSYQ to RDU: 3076\nSYQ to ZAL: 6083\nSYQ to LXR: 12687\nSYQ to SVK: 1230\nSYQ to BRN: 9997\nSYQ to NOP: 12058\nZAL to UIN: 9159\nZAL to GCM: 6964\nZAL to RDU: 8511\nZAL to LXR: 14140\nZAL to SVK: 6822\nZAL to BRN: 12684\nZAL to NOP: 14426\nLXR to UIN: 10891\nLXR to GCM: 11691\nLXR to RDU: 10193\nLXR to SVK: 12299\nLXR to BRN: 3491\nLXR to NOP: 2324\nUIN to GCM: 2522\nUIN to RDU: 1222\nUIN to SVK: 2668\nUIN to BRN: 7681\nUIN to NOP: 9901\nNOP to GCM: 10763\nNOP to RDU: 9248\nNOP to SVK: 11466\nNOP to BRN: 2450\nRDU to GCM: 1861\nRDU to SVK: 2348\nRDU to BRN: 7001\nSVK to GCM: 1113\nSVK to BRN: 9278\nBRN to GCM: 8704\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 38085,
"style": "rule"
}
|
{
"exact_answer": 38085,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SYQ\", \"id\": 0}, {\"name\": \"ZAL\", \"id\": 1}, {\"name\": \"LXR\", \"id\": 2}, {\"name\": \"UIN\", \"id\": 3}, {\"name\": \"NOP\", \"id\": 4}, {\"name\": \"RDU\", \"id\": 5}, {\"name\": \"SVK\", \"id\": 6}, {\"name\": \"BRN\", \"id\": 7}, {\"name\": \"GCM\", \"id\": 8}], \"links\": [{\"weight\": 3661, \"source\": 0, \"target\": 3}, {\"weight\": 1739, \"source\": 0, \"target\": 8}, {\"weight\": 3076, \"source\": 0, \"target\": 5}, {\"weight\": 6083, \"source\": 0, \"target\": 1}, {\"weight\": 12687, \"source\": 0, \"target\": 2}, {\"weight\": 1230, \"source\": 0, \"target\": 6}, {\"weight\": 9997, \"source\": 0, \"target\": 7}, {\"weight\": 12058, \"source\": 0, \"target\": 4}, {\"weight\": 9159, \"source\": 1, \"target\": 3}, {\"weight\": 6964, \"source\": 1, \"target\": 8}, {\"weight\": 8511, \"source\": 1, \"target\": 5}, {\"weight\": 14140, \"source\": 1, \"target\": 2}, {\"weight\": 6822, \"source\": 1, \"target\": 6}, {\"weight\": 12684, \"source\": 1, \"target\": 7}, {\"weight\": 14426, \"source\": 1, \"target\": 4}, {\"weight\": 10891, \"source\": 2, \"target\": 3}, {\"weight\": 11691, \"source\": 2, \"target\": 8}, {\"weight\": 10193, \"source\": 2, \"target\": 5}, {\"weight\": 12299, \"source\": 2, \"target\": 6}, {\"weight\": 3491, \"source\": 2, \"target\": 7}, {\"weight\": 2324, \"source\": 2, \"target\": 4}, {\"weight\": 2522, \"source\": 3, \"target\": 8}, {\"weight\": 1222, \"source\": 3, \"target\": 5}, {\"weight\": 2668, \"source\": 3, \"target\": 6}, {\"weight\": 7681, \"source\": 3, \"target\": 7}, {\"weight\": 9901, \"source\": 3, \"target\": 4}, {\"weight\": 10763, \"source\": 4, \"target\": 8}, {\"weight\": 9248, \"source\": 4, \"target\": 5}, {\"weight\": 11466, \"source\": 4, \"target\": 6}, {\"weight\": 2450, \"source\": 4, \"target\": 7}, {\"weight\": 1861, \"source\": 5, \"target\": 8}, {\"weight\": 2348, \"source\": 5, \"target\": 6}, {\"weight\": 7001, \"source\": 5, \"target\": 7}, {\"weight\": 1113, \"source\": 6, \"target\": 8}, {\"weight\": 9278, \"source\": 6, \"target\": 7}, {\"weight\": 8704, \"source\": 7, \"target\": 8}]}",
"id": 269,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYQ, ZAL, LXR, UIN, NOP, RDU, SVK, BRN, GCM\n- Travel distances (in kilometers) between each pair of airports:\nSYQ to UIN: 3661\nSYQ to GCM: 1739\nSYQ to RDU: 3076\nSYQ to ZAL: 6083\nSYQ to LXR: 12687\nSYQ to SVK: 1230\nSYQ to BRN: 9997\nSYQ to NOP: 12058\nZAL to UIN: 9159\nZAL to GCM: 6964\nZAL to RDU: 8511\nZAL to LXR: 14140\nZAL to SVK: 6822\nZAL to BRN: 12684\nZAL to NOP: 14426\nLXR to UIN: 10891\nLXR to GCM: 11691\nLXR to RDU: 10193\nLXR to SVK: 12299\nLXR to BRN: 3491\nLXR to NOP: 2324\nUIN to GCM: 2522\nUIN to RDU: 1222\nUIN to SVK: 2668\nUIN to BRN: 7681\nUIN to NOP: 9901\nNOP to GCM: 10763\nNOP to RDU: 9248\nNOP to SVK: 11466\nNOP to BRN: 2450\nRDU to GCM: 1861\nRDU to SVK: 2348\nRDU to BRN: 7001\nSVK to GCM: 1113\nSVK to BRN: 9278\nBRN to GCM: 8704\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MQP, CTC, XRY, BHI, ZEL, AIA, YZP, GLH, RIG\n- Travel distances (in kilometers) between each pair of airports:\nMQP to GLH: 14507\nMQP to XRY: 8520\nMQP to ZEL: 17415\nMQP to BHI: 10001\nMQP to YZP: 17701\nMQP to CTC: 10391\nMQP to AIA: 16026\nMQP to RIG: 8852\nCTC to GLH: 9764\nCTC to XRY: 10707\nCTC to ZEL: 12808\nCTC to BHI: 1530\nCTC to YZP: 13067\nCTC to AIA: 10867\nCTC to RIG: 2059\nXRY to GLH: 7642\nXRY to ZEL: 9653\nXRY to BHI: 10317\nXRY to YZP: 9978\nXRY to AIA: 8503\nXRY to RIG: 9184\nBHI to GLH: 9374\nBHI to ZEL: 12418\nBHI to YZP: 12677\nBHI to AIA: 10477\nBHI to RIG: 1669\nZEL to GLH: 4827\nZEL to YZP: 1241\nZEL to AIA: 2569\nZEL to RIG: 12054\nAIA to GLH: 2842\nAIA to YZP: 2828\nAIA to RIG: 10069\nYZP to GLH: 5086\nYZP to RIG: 12313\nGLH to RIG: 8771\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46899,
"style": "rule"
}
|
{
"exact_answer": 46899,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MQP\", \"id\": 0}, {\"name\": \"CTC\", \"id\": 1}, {\"name\": \"XRY\", \"id\": 2}, {\"name\": \"BHI\", \"id\": 3}, {\"name\": \"ZEL\", \"id\": 4}, {\"name\": \"AIA\", \"id\": 5}, {\"name\": \"YZP\", \"id\": 6}, {\"name\": \"GLH\", \"id\": 7}, {\"name\": \"RIG\", \"id\": 8}], \"links\": [{\"weight\": 14507, \"source\": 0, \"target\": 7}, {\"weight\": 8520, \"source\": 0, \"target\": 2}, {\"weight\": 17415, \"source\": 0, \"target\": 4}, {\"weight\": 10001, \"source\": 0, \"target\": 3}, {\"weight\": 17701, \"source\": 0, \"target\": 6}, {\"weight\": 10391, \"source\": 0, \"target\": 1}, {\"weight\": 16026, \"source\": 0, \"target\": 5}, {\"weight\": 8852, \"source\": 0, \"target\": 8}, {\"weight\": 9764, \"source\": 1, \"target\": 7}, {\"weight\": 10707, \"source\": 1, \"target\": 2}, {\"weight\": 12808, \"source\": 1, \"target\": 4}, {\"weight\": 1530, \"source\": 1, \"target\": 3}, {\"weight\": 13067, \"source\": 1, \"target\": 6}, {\"weight\": 10867, \"source\": 1, \"target\": 5}, {\"weight\": 2059, \"source\": 1, \"target\": 8}, {\"weight\": 7642, \"source\": 2, \"target\": 7}, {\"weight\": 9653, \"source\": 2, \"target\": 4}, {\"weight\": 10317, \"source\": 2, \"target\": 3}, {\"weight\": 9978, \"source\": 2, \"target\": 6}, {\"weight\": 8503, \"source\": 2, \"target\": 5}, {\"weight\": 9184, \"source\": 2, \"target\": 8}, {\"weight\": 9374, \"source\": 3, \"target\": 7}, {\"weight\": 12418, \"source\": 3, \"target\": 4}, {\"weight\": 12677, \"source\": 3, \"target\": 6}, {\"weight\": 10477, \"source\": 3, \"target\": 5}, {\"weight\": 1669, \"source\": 3, \"target\": 8}, {\"weight\": 4827, \"source\": 4, \"target\": 7}, {\"weight\": 1241, \"source\": 4, \"target\": 6}, {\"weight\": 2569, \"source\": 4, \"target\": 5}, {\"weight\": 12054, \"source\": 4, \"target\": 8}, {\"weight\": 2842, \"source\": 5, \"target\": 7}, {\"weight\": 2828, \"source\": 5, \"target\": 6}, {\"weight\": 10069, \"source\": 5, \"target\": 8}, {\"weight\": 5086, \"source\": 6, \"target\": 7}, {\"weight\": 12313, \"source\": 6, \"target\": 8}, {\"weight\": 8771, \"source\": 7, \"target\": 8}]}",
"id": 270,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MQP, CTC, XRY, BHI, ZEL, AIA, YZP, GLH, RIG\n- Travel distances (in kilometers) between each pair of airports:\nMQP to GLH: 14507\nMQP to XRY: 8520\nMQP to ZEL: 17415\nMQP to BHI: 10001\nMQP to YZP: 17701\nMQP to CTC: 10391\nMQP to AIA: 16026\nMQP to RIG: 8852\nCTC to GLH: 9764\nCTC to XRY: 10707\nCTC to ZEL: 12808\nCTC to BHI: 1530\nCTC to YZP: 13067\nCTC to AIA: 10867\nCTC to RIG: 2059\nXRY to GLH: 7642\nXRY to ZEL: 9653\nXRY to BHI: 10317\nXRY to YZP: 9978\nXRY to AIA: 8503\nXRY to RIG: 9184\nBHI to GLH: 9374\nBHI to ZEL: 12418\nBHI to YZP: 12677\nBHI to AIA: 10477\nBHI to RIG: 1669\nZEL to GLH: 4827\nZEL to YZP: 1241\nZEL to AIA: 2569\nZEL to RIG: 12054\nAIA to GLH: 2842\nAIA to YZP: 2828\nAIA to RIG: 10069\nYZP to GLH: 5086\nYZP to RIG: 12313\nGLH to RIG: 8771\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BOM, JAI, FKQ, ULN, HEL, ACX, THN, MDK\n- Travel distances (in kilometers) between each pair of airports:\nIPN to HEL: 10958\nIPN to BOM: 14003\nIPN to JAI: 14496\nIPN to MDK: 7855\nIPN to ULN: 16101\nIPN to ACX: 17831\nIPN to THN: 10919\nIPN to FKQ: 19997\nBOM to JAI: 910\nBOM to HEL: 6183\nBOM to MDK: 7401\nBOM to ULN: 5545\nBOM to ACX: 3828\nBOM to THN: 6930\nBOM to FKQ: 7217\nJAI to HEL: 5455\nJAI to MDK: 7997\nJAI to ULN: 4639\nJAI to ACX: 3489\nJAI to THN: 6202\nJAI to FKQ: 7558\nFKQ to HEL: 12447\nFKQ to MDK: 14143\nFKQ to ULN: 7547\nFKQ to ACX: 5628\nFKQ to THN: 13194\nULN to HEL: 5508\nULN to MDK: 11275\nULN to ACX: 3168\nULN to THN: 6255\nHEL to MDK: 7960\nHEL to ACX: 7267\nHEL to THN: 747\nACX to MDK: 11229\nACX to THN: 8014\nTHN to MDK: 8426\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49694,
"style": "rule"
}
|
{
"exact_answer": 49694,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IPN\", \"id\": 0}, {\"name\": \"BOM\", \"id\": 1}, {\"name\": \"JAI\", \"id\": 2}, {\"name\": \"FKQ\", \"id\": 3}, {\"name\": \"ULN\", \"id\": 4}, {\"name\": \"HEL\", \"id\": 5}, {\"name\": \"ACX\", \"id\": 6}, {\"name\": \"THN\", \"id\": 7}, {\"name\": \"MDK\", \"id\": 8}], \"links\": [{\"weight\": 10958, \"source\": 0, \"target\": 5}, {\"weight\": 14003, \"source\": 0, \"target\": 1}, {\"weight\": 14496, \"source\": 0, \"target\": 2}, {\"weight\": 7855, \"source\": 0, \"target\": 8}, {\"weight\": 16101, \"source\": 0, \"target\": 4}, {\"weight\": 17831, \"source\": 0, \"target\": 6}, {\"weight\": 10919, \"source\": 0, \"target\": 7}, {\"weight\": 19997, \"source\": 0, \"target\": 3}, {\"weight\": 910, \"source\": 1, \"target\": 2}, {\"weight\": 6183, \"source\": 1, \"target\": 5}, {\"weight\": 7401, \"source\": 1, \"target\": 8}, {\"weight\": 5545, \"source\": 1, \"target\": 4}, {\"weight\": 3828, \"source\": 1, \"target\": 6}, {\"weight\": 6930, \"source\": 1, \"target\": 7}, {\"weight\": 7217, \"source\": 1, \"target\": 3}, {\"weight\": 5455, \"source\": 2, \"target\": 5}, {\"weight\": 7997, \"source\": 2, \"target\": 8}, {\"weight\": 4639, \"source\": 2, \"target\": 4}, {\"weight\": 3489, \"source\": 2, \"target\": 6}, {\"weight\": 6202, \"source\": 2, \"target\": 7}, {\"weight\": 7558, \"source\": 2, \"target\": 3}, {\"weight\": 12447, \"source\": 3, \"target\": 5}, {\"weight\": 14143, \"source\": 3, \"target\": 8}, {\"weight\": 7547, \"source\": 3, \"target\": 4}, {\"weight\": 5628, \"source\": 3, \"target\": 6}, {\"weight\": 13194, \"source\": 3, \"target\": 7}, {\"weight\": 5508, \"source\": 4, \"target\": 5}, {\"weight\": 11275, \"source\": 4, \"target\": 8}, {\"weight\": 3168, \"source\": 4, \"target\": 6}, {\"weight\": 6255, \"source\": 4, \"target\": 7}, {\"weight\": 7960, \"source\": 5, \"target\": 8}, {\"weight\": 7267, \"source\": 5, \"target\": 6}, {\"weight\": 747, \"source\": 5, \"target\": 7}, {\"weight\": 11229, \"source\": 6, \"target\": 8}, {\"weight\": 8014, \"source\": 6, \"target\": 7}, {\"weight\": 8426, \"source\": 7, \"target\": 8}]}",
"id": 271,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BOM, JAI, FKQ, ULN, HEL, ACX, THN, MDK\n- Travel distances (in kilometers) between each pair of airports:\nIPN to HEL: 10958\nIPN to BOM: 14003\nIPN to JAI: 14496\nIPN to MDK: 7855\nIPN to ULN: 16101\nIPN to ACX: 17831\nIPN to THN: 10919\nIPN to FKQ: 19997\nBOM to JAI: 910\nBOM to HEL: 6183\nBOM to MDK: 7401\nBOM to ULN: 5545\nBOM to ACX: 3828\nBOM to THN: 6930\nBOM to FKQ: 7217\nJAI to HEL: 5455\nJAI to MDK: 7997\nJAI to ULN: 4639\nJAI to ACX: 3489\nJAI to THN: 6202\nJAI to FKQ: 7558\nFKQ to HEL: 12447\nFKQ to MDK: 14143\nFKQ to ULN: 7547\nFKQ to ACX: 5628\nFKQ to THN: 13194\nULN to HEL: 5508\nULN to MDK: 11275\nULN to ACX: 3168\nULN to THN: 6255\nHEL to MDK: 7960\nHEL to ACX: 7267\nHEL to THN: 747\nACX to MDK: 11229\nACX to THN: 8014\nTHN to MDK: 8426\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, AKJ, GJT, SXI, QJH, SGF, JPR, JRO, LBC\n- Travel distances (in kilometers) between each pair of airports:\nYBG to GJT: 3307\nYBG to SGF: 2285\nYBG to JPR: 8885\nYBG to JRO: 12194\nYBG to AKJ: 12549\nYBG to LBC: 7164\nYBG to QJH: 6645\nYBG to SXI: 10639\nAKJ to GJT: 10094\nAKJ to SGF: 11299\nAKJ to JPR: 19617\nAKJ to JRO: 12355\nAKJ to LBC: 10127\nAKJ to QJH: 13280\nAKJ to SXI: 9348\nGJT to SGF: 1362\nGJT to JPR: 9641\nGJT to JRO: 14912\nGJT to LBC: 9090\nGJT to QJH: 8049\nGJT to SXI: 13151\nSXI to SGF: 12459\nSXI to JPR: 14665\nSXI to JRO: 4517\nSXI to LBC: 5128\nSXI to QJH: 9068\nQJH to SGF: 7558\nQJH to JPR: 14002\nQJH to JRO: 10921\nQJH to LBC: 5007\nSGF to JPR: 8411\nSGF to JRO: 14098\nSGF to LBC: 8461\nJPR to JRO: 11570\nJPR to LBC: 11510\nJRO to LBC: 7187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60294,
"style": "rule"
}
|
{
"exact_answer": 60294,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBG\", \"id\": 0}, {\"name\": \"AKJ\", \"id\": 1}, {\"name\": \"GJT\", \"id\": 2}, {\"name\": \"SXI\", \"id\": 3}, {\"name\": \"QJH\", \"id\": 4}, {\"name\": \"SGF\", \"id\": 5}, {\"name\": \"JPR\", \"id\": 6}, {\"name\": \"JRO\", \"id\": 7}, {\"name\": \"LBC\", \"id\": 8}], \"links\": [{\"weight\": 3307, \"source\": 0, \"target\": 2}, {\"weight\": 2285, \"source\": 0, \"target\": 5}, {\"weight\": 8885, \"source\": 0, \"target\": 6}, {\"weight\": 12194, \"source\": 0, \"target\": 7}, {\"weight\": 12549, \"source\": 0, \"target\": 1}, {\"weight\": 7164, \"source\": 0, \"target\": 8}, {\"weight\": 6645, \"source\": 0, \"target\": 4}, {\"weight\": 10639, \"source\": 0, \"target\": 3}, {\"weight\": 10094, \"source\": 1, \"target\": 2}, {\"weight\": 11299, \"source\": 1, \"target\": 5}, {\"weight\": 19617, \"source\": 1, \"target\": 6}, {\"weight\": 12355, \"source\": 1, \"target\": 7}, {\"weight\": 10127, \"source\": 1, \"target\": 8}, {\"weight\": 13280, \"source\": 1, \"target\": 4}, {\"weight\": 9348, \"source\": 1, \"target\": 3}, {\"weight\": 1362, \"source\": 2, \"target\": 5}, {\"weight\": 9641, \"source\": 2, \"target\": 6}, {\"weight\": 14912, \"source\": 2, \"target\": 7}, {\"weight\": 9090, \"source\": 2, \"target\": 8}, {\"weight\": 8049, \"source\": 2, \"target\": 4}, {\"weight\": 13151, \"source\": 2, \"target\": 3}, {\"weight\": 12459, \"source\": 3, \"target\": 5}, {\"weight\": 14665, \"source\": 3, \"target\": 6}, {\"weight\": 4517, \"source\": 3, \"target\": 7}, {\"weight\": 5128, \"source\": 3, \"target\": 8}, {\"weight\": 9068, \"source\": 3, \"target\": 4}, {\"weight\": 7558, \"source\": 4, \"target\": 5}, {\"weight\": 14002, \"source\": 4, \"target\": 6}, {\"weight\": 10921, \"source\": 4, \"target\": 7}, {\"weight\": 5007, \"source\": 4, \"target\": 8}, {\"weight\": 8411, \"source\": 5, \"target\": 6}, {\"weight\": 14098, \"source\": 5, \"target\": 7}, {\"weight\": 8461, \"source\": 5, \"target\": 8}, {\"weight\": 11570, \"source\": 6, \"target\": 7}, {\"weight\": 11510, \"source\": 6, \"target\": 8}, {\"weight\": 7187, \"source\": 7, \"target\": 8}]}",
"id": 272,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, AKJ, GJT, SXI, QJH, SGF, JPR, JRO, LBC\n- Travel distances (in kilometers) between each pair of airports:\nYBG to GJT: 3307\nYBG to SGF: 2285\nYBG to JPR: 8885\nYBG to JRO: 12194\nYBG to AKJ: 12549\nYBG to LBC: 7164\nYBG to QJH: 6645\nYBG to SXI: 10639\nAKJ to GJT: 10094\nAKJ to SGF: 11299\nAKJ to JPR: 19617\nAKJ to JRO: 12355\nAKJ to LBC: 10127\nAKJ to QJH: 13280\nAKJ to SXI: 9348\nGJT to SGF: 1362\nGJT to JPR: 9641\nGJT to JRO: 14912\nGJT to LBC: 9090\nGJT to QJH: 8049\nGJT to SXI: 13151\nSXI to SGF: 12459\nSXI to JPR: 14665\nSXI to JRO: 4517\nSXI to LBC: 5128\nSXI to QJH: 9068\nQJH to SGF: 7558\nQJH to JPR: 14002\nQJH to JRO: 10921\nQJH to LBC: 5007\nSGF to JPR: 8411\nSGF to JRO: 14098\nSGF to LBC: 8461\nJPR to JRO: 11570\nJPR to LBC: 11510\nJRO to LBC: 7187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRC, KKR, INN, PQC, GRP, GET, HKD, GIS, LAW\n- Travel distances (in kilometers) between each pair of airports:\nTRC to LAW: 1247\nTRC to INN: 9630\nTRC to PQC: 15201\nTRC to HKD: 11316\nTRC to GIS: 12627\nTRC to GET: 17316\nTRC to GRP: 8145\nTRC to KKR: 8776\nKKR to LAW: 9177\nKKR to INN: 16658\nKKR to PQC: 13631\nKKR to HKD: 10721\nKKR to GIS: 4784\nKKR to GET: 10131\nKKR to GRP: 12308\nINN to LAW: 8833\nINN to PQC: 9870\nINN to HKD: 9301\nINN to GIS: 18617\nINN to GET: 14034\nINN to GRP: 9707\nPQC to LAW: 15073\nPQC to HKD: 5093\nPQC to GIS: 9639\nPQC to GET: 5583\nPQC to GRP: 18590\nGRP to LAW: 8317\nGRP to HKD: 18907\nGRP to GIS: 13936\nGRP to GET: 17455\nGET to LAW: 17565\nGET to HKD: 9144\nGET to GIS: 6039\nHKD to LAW: 11299\nHKD to GIS: 10088\nGIS to LAW: 13028\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58847,
"style": "rule"
}
|
{
"exact_answer": 58847,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRC\", \"id\": 0}, {\"name\": \"KKR\", \"id\": 1}, {\"name\": \"INN\", \"id\": 2}, {\"name\": \"PQC\", \"id\": 3}, {\"name\": \"GRP\", \"id\": 4}, {\"name\": \"GET\", \"id\": 5}, {\"name\": \"HKD\", \"id\": 6}, {\"name\": \"GIS\", \"id\": 7}, {\"name\": \"LAW\", \"id\": 8}], \"links\": [{\"weight\": 1247, \"source\": 0, \"target\": 8}, {\"weight\": 9630, \"source\": 0, \"target\": 2}, {\"weight\": 15201, \"source\": 0, \"target\": 3}, {\"weight\": 11316, \"source\": 0, \"target\": 6}, {\"weight\": 12627, \"source\": 0, \"target\": 7}, {\"weight\": 17316, \"source\": 0, \"target\": 5}, {\"weight\": 8145, \"source\": 0, \"target\": 4}, {\"weight\": 8776, \"source\": 0, \"target\": 1}, {\"weight\": 9177, \"source\": 1, \"target\": 8}, {\"weight\": 16658, \"source\": 1, \"target\": 2}, {\"weight\": 13631, \"source\": 1, \"target\": 3}, {\"weight\": 10721, \"source\": 1, \"target\": 6}, {\"weight\": 4784, \"source\": 1, \"target\": 7}, {\"weight\": 10131, \"source\": 1, \"target\": 5}, {\"weight\": 12308, \"source\": 1, \"target\": 4}, {\"weight\": 8833, \"source\": 2, \"target\": 8}, {\"weight\": 9870, \"source\": 2, \"target\": 3}, {\"weight\": 9301, \"source\": 2, \"target\": 6}, {\"weight\": 18617, \"source\": 2, \"target\": 7}, {\"weight\": 14034, \"source\": 2, \"target\": 5}, {\"weight\": 9707, \"source\": 2, \"target\": 4}, {\"weight\": 15073, \"source\": 3, \"target\": 8}, {\"weight\": 5093, \"source\": 3, \"target\": 6}, {\"weight\": 9639, \"source\": 3, \"target\": 7}, {\"weight\": 5583, \"source\": 3, \"target\": 5}, {\"weight\": 18590, \"source\": 3, \"target\": 4}, {\"weight\": 8317, \"source\": 4, \"target\": 8}, {\"weight\": 18907, \"source\": 4, \"target\": 6}, {\"weight\": 13936, \"source\": 4, \"target\": 7}, {\"weight\": 17455, \"source\": 4, \"target\": 5}, {\"weight\": 17565, \"source\": 5, \"target\": 8}, {\"weight\": 9144, \"source\": 5, \"target\": 6}, {\"weight\": 6039, \"source\": 5, \"target\": 7}, {\"weight\": 11299, \"source\": 6, \"target\": 8}, {\"weight\": 10088, \"source\": 6, \"target\": 7}, {\"weight\": 13028, \"source\": 7, \"target\": 8}]}",
"id": 273,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRC, KKR, INN, PQC, GRP, GET, HKD, GIS, LAW\n- Travel distances (in kilometers) between each pair of airports:\nTRC to LAW: 1247\nTRC to INN: 9630\nTRC to PQC: 15201\nTRC to HKD: 11316\nTRC to GIS: 12627\nTRC to GET: 17316\nTRC to GRP: 8145\nTRC to KKR: 8776\nKKR to LAW: 9177\nKKR to INN: 16658\nKKR to PQC: 13631\nKKR to HKD: 10721\nKKR to GIS: 4784\nKKR to GET: 10131\nKKR to GRP: 12308\nINN to LAW: 8833\nINN to PQC: 9870\nINN to HKD: 9301\nINN to GIS: 18617\nINN to GET: 14034\nINN to GRP: 9707\nPQC to LAW: 15073\nPQC to HKD: 5093\nPQC to GIS: 9639\nPQC to GET: 5583\nPQC to GRP: 18590\nGRP to LAW: 8317\nGRP to HKD: 18907\nGRP to GIS: 13936\nGRP to GET: 17455\nGET to LAW: 17565\nGET to HKD: 9144\nGET to GIS: 6039\nHKD to LAW: 11299\nHKD to GIS: 10088\nGIS to LAW: 13028\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKE, GIB, CMA, ROS, PLM, SRP, STD, YXJ, INH\n- Travel distances (in kilometers) between each pair of airports:\nLKE to ROS: 10948\nLKE to YXJ: 1024\nLKE to GIB: 9411\nLKE to PLM: 13478\nLKE to SRP: 7523\nLKE to CMA: 12620\nLKE to STD: 7239\nLKE to INH: 17501\nGIB to ROS: 12925\nGIB to YXJ: 9063\nGIB to PLM: 13027\nGIB to SRP: 2755\nGIB to CMA: 19024\nGIB to STD: 9953\nGIB to INH: 11525\nCMA to ROS: 13702\nCMA to YXJ: 13446\nCMA to PLM: 6555\nCMA to SRP: 16582\nCMA to STD: 18231\nCMA to INH: 13126\nROS to YXJ: 11481\nROS to PLM: 18302\nROS to SRP: 12221\nROS to STD: 6072\nROS to INH: 9954\nPLM to YXJ: 14093\nPLM to SRP: 10811\nPLM to STD: 19429\nPLM to INH: 9880\nSRP to YXJ: 7175\nSRP to STD: 9055\nSRP to INH: 10537\nSTD to YXJ: 7528\nSTD to INH: 13244\nYXJ to INH: 17210\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65927,
"style": "rule"
}
|
{
"exact_answer": 65927,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKE\", \"id\": 0}, {\"name\": \"GIB\", \"id\": 1}, {\"name\": \"CMA\", \"id\": 2}, {\"name\": \"ROS\", \"id\": 3}, {\"name\": \"PLM\", \"id\": 4}, {\"name\": \"SRP\", \"id\": 5}, {\"name\": \"STD\", \"id\": 6}, {\"name\": \"YXJ\", \"id\": 7}, {\"name\": \"INH\", \"id\": 8}], \"links\": [{\"weight\": 10948, \"source\": 0, \"target\": 3}, {\"weight\": 1024, \"source\": 0, \"target\": 7}, {\"weight\": 9411, \"source\": 0, \"target\": 1}, {\"weight\": 13478, \"source\": 0, \"target\": 4}, {\"weight\": 7523, \"source\": 0, \"target\": 5}, {\"weight\": 12620, \"source\": 0, \"target\": 2}, {\"weight\": 7239, \"source\": 0, \"target\": 6}, {\"weight\": 17501, \"source\": 0, \"target\": 8}, {\"weight\": 12925, \"source\": 1, \"target\": 3}, {\"weight\": 9063, \"source\": 1, \"target\": 7}, {\"weight\": 13027, \"source\": 1, \"target\": 4}, {\"weight\": 2755, \"source\": 1, \"target\": 5}, {\"weight\": 19024, \"source\": 1, \"target\": 2}, {\"weight\": 9953, \"source\": 1, \"target\": 6}, {\"weight\": 11525, \"source\": 1, \"target\": 8}, {\"weight\": 13702, \"source\": 2, \"target\": 3}, {\"weight\": 13446, \"source\": 2, \"target\": 7}, {\"weight\": 6555, \"source\": 2, \"target\": 4}, {\"weight\": 16582, \"source\": 2, \"target\": 5}, {\"weight\": 18231, \"source\": 2, \"target\": 6}, {\"weight\": 13126, \"source\": 2, \"target\": 8}, {\"weight\": 11481, \"source\": 3, \"target\": 7}, {\"weight\": 18302, \"source\": 3, \"target\": 4}, {\"weight\": 12221, \"source\": 3, \"target\": 5}, {\"weight\": 6072, \"source\": 3, \"target\": 6}, {\"weight\": 9954, \"source\": 3, \"target\": 8}, {\"weight\": 14093, \"source\": 4, \"target\": 7}, {\"weight\": 10811, \"source\": 4, \"target\": 5}, {\"weight\": 19429, \"source\": 4, \"target\": 6}, {\"weight\": 9880, \"source\": 4, \"target\": 8}, {\"weight\": 7175, \"source\": 5, \"target\": 7}, {\"weight\": 9055, \"source\": 5, \"target\": 6}, {\"weight\": 10537, \"source\": 5, \"target\": 8}, {\"weight\": 7528, \"source\": 6, \"target\": 7}, {\"weight\": 13244, \"source\": 6, \"target\": 8}, {\"weight\": 17210, \"source\": 7, \"target\": 8}]}",
"id": 274,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKE, GIB, CMA, ROS, PLM, SRP, STD, YXJ, INH\n- Travel distances (in kilometers) between each pair of airports:\nLKE to ROS: 10948\nLKE to YXJ: 1024\nLKE to GIB: 9411\nLKE to PLM: 13478\nLKE to SRP: 7523\nLKE to CMA: 12620\nLKE to STD: 7239\nLKE to INH: 17501\nGIB to ROS: 12925\nGIB to YXJ: 9063\nGIB to PLM: 13027\nGIB to SRP: 2755\nGIB to CMA: 19024\nGIB to STD: 9953\nGIB to INH: 11525\nCMA to ROS: 13702\nCMA to YXJ: 13446\nCMA to PLM: 6555\nCMA to SRP: 16582\nCMA to STD: 18231\nCMA to INH: 13126\nROS to YXJ: 11481\nROS to PLM: 18302\nROS to SRP: 12221\nROS to STD: 6072\nROS to INH: 9954\nPLM to YXJ: 14093\nPLM to SRP: 10811\nPLM to STD: 19429\nPLM to INH: 9880\nSRP to YXJ: 7175\nSRP to STD: 9055\nSRP to INH: 10537\nSTD to YXJ: 7528\nSTD to INH: 13244\nYXJ to INH: 17210\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OBY, RHI, SHP, PYH, GXF, UIN, GWD, COQ, VFA\n- Travel distances (in kilometers) between each pair of airports:\nOBY to UIN: 8335\nOBY to VFA: 13771\nOBY to RHI: 8528\nOBY to COQ: 11331\nOBY to SHP: 12347\nOBY to GXF: 10473\nOBY to GWD: 10530\nOBY to PYH: 10954\nRHI to UIN: 1176\nRHI to VFA: 14840\nRHI to COQ: 12169\nRHI to SHP: 11459\nRHI to GXF: 12681\nRHI to GWD: 12949\nRHI to PYH: 5441\nSHP to UIN: 11735\nSHP to VFA: 12091\nSHP to COQ: 1790\nSHP to GXF: 7661\nSHP to GWD: 5783\nSHP to PYH: 15574\nPYH to UIN: 4606\nPYH to VFA: 13319\nPYH to COQ: 15781\nPYH to GXF: 13115\nPYH to GWD: 13994\nGXF to UIN: 12837\nGXF to VFA: 4890\nGXF to COQ: 7016\nGXF to GWD: 1951\nUIN to VFA: 14466\nUIN to COQ: 12446\nUIN to GWD: 12951\nGWD to VFA: 6485\nGWD to COQ: 5870\nCOQ to VFA: 11820\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53374,
"style": "rule"
}
|
{
"exact_answer": 53374,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OBY\", \"id\": 0}, {\"name\": \"RHI\", \"id\": 1}, {\"name\": \"SHP\", \"id\": 2}, {\"name\": \"PYH\", \"id\": 3}, {\"name\": \"GXF\", \"id\": 4}, {\"name\": \"UIN\", \"id\": 5}, {\"name\": \"GWD\", \"id\": 6}, {\"name\": \"COQ\", \"id\": 7}, {\"name\": \"VFA\", \"id\": 8}], \"links\": [{\"weight\": 8335, \"source\": 0, \"target\": 5}, {\"weight\": 13771, \"source\": 0, \"target\": 8}, {\"weight\": 8528, \"source\": 0, \"target\": 1}, {\"weight\": 11331, \"source\": 0, \"target\": 7}, {\"weight\": 12347, \"source\": 0, \"target\": 2}, {\"weight\": 10473, \"source\": 0, \"target\": 4}, {\"weight\": 10530, \"source\": 0, \"target\": 6}, {\"weight\": 10954, \"source\": 0, \"target\": 3}, {\"weight\": 1176, \"source\": 1, \"target\": 5}, {\"weight\": 14840, \"source\": 1, \"target\": 8}, {\"weight\": 12169, \"source\": 1, \"target\": 7}, {\"weight\": 11459, \"source\": 1, \"target\": 2}, {\"weight\": 12681, \"source\": 1, \"target\": 4}, {\"weight\": 12949, \"source\": 1, \"target\": 6}, {\"weight\": 5441, \"source\": 1, \"target\": 3}, {\"weight\": 11735, \"source\": 2, \"target\": 5}, {\"weight\": 12091, \"source\": 2, \"target\": 8}, {\"weight\": 1790, \"source\": 2, \"target\": 7}, {\"weight\": 7661, \"source\": 2, \"target\": 4}, {\"weight\": 5783, \"source\": 2, \"target\": 6}, {\"weight\": 15574, \"source\": 2, \"target\": 3}, {\"weight\": 4606, \"source\": 3, \"target\": 5}, {\"weight\": 13319, \"source\": 3, \"target\": 8}, {\"weight\": 15781, \"source\": 3, \"target\": 7}, {\"weight\": 13115, \"source\": 3, \"target\": 4}, {\"weight\": 13994, \"source\": 3, \"target\": 6}, {\"weight\": 12837, \"source\": 4, \"target\": 5}, {\"weight\": 4890, \"source\": 4, \"target\": 8}, {\"weight\": 7016, \"source\": 4, \"target\": 7}, {\"weight\": 1951, \"source\": 4, \"target\": 6}, {\"weight\": 14466, \"source\": 5, \"target\": 8}, {\"weight\": 12446, \"source\": 5, \"target\": 7}, {\"weight\": 12951, \"source\": 5, \"target\": 6}, {\"weight\": 6485, \"source\": 6, \"target\": 8}, {\"weight\": 5870, \"source\": 6, \"target\": 7}, {\"weight\": 11820, \"source\": 7, \"target\": 8}]}",
"id": 275,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OBY, RHI, SHP, PYH, GXF, UIN, GWD, COQ, VFA\n- Travel distances (in kilometers) between each pair of airports:\nOBY to UIN: 8335\nOBY to VFA: 13771\nOBY to RHI: 8528\nOBY to COQ: 11331\nOBY to SHP: 12347\nOBY to GXF: 10473\nOBY to GWD: 10530\nOBY to PYH: 10954\nRHI to UIN: 1176\nRHI to VFA: 14840\nRHI to COQ: 12169\nRHI to SHP: 11459\nRHI to GXF: 12681\nRHI to GWD: 12949\nRHI to PYH: 5441\nSHP to UIN: 11735\nSHP to VFA: 12091\nSHP to COQ: 1790\nSHP to GXF: 7661\nSHP to GWD: 5783\nSHP to PYH: 15574\nPYH to UIN: 4606\nPYH to VFA: 13319\nPYH to COQ: 15781\nPYH to GXF: 13115\nPYH to GWD: 13994\nGXF to UIN: 12837\nGXF to VFA: 4890\nGXF to COQ: 7016\nGXF to GWD: 1951\nUIN to VFA: 14466\nUIN to COQ: 12446\nUIN to GWD: 12951\nGWD to VFA: 6485\nGWD to COQ: 5870\nCOQ to VFA: 11820\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BME, DHN, PHS, MWA, TFI, KFS, YYG, CIU, DIY\n- Travel distances (in kilometers) between each pair of airports:\nBME to DIY: 12456\nBME to MWA: 17578\nBME to YYG: 18848\nBME to DHN: 18139\nBME to TFI: 3862\nBME to PHS: 5119\nBME to CIU: 18016\nBME to KFS: 12629\nDHN to DIY: 10544\nDHN to MWA: 1215\nDHN to YYG: 2615\nDHN to TFI: 15912\nDHN to PHS: 14980\nDHN to CIU: 1688\nDHN to KFS: 9952\nPHS to DIY: 7864\nPHS to MWA: 14307\nPHS to YYG: 14357\nPHS to TFI: 6692\nPHS to CIU: 14272\nPHS to KFS: 7999\nMWA to DIY: 10391\nMWA to YYG: 2539\nMWA to TFI: 15231\nMWA to CIU: 1326\nMWA to KFS: 9801\nTFI to DIY: 13769\nTFI to YYG: 16893\nTFI to CIU: 16039\nTFI to KFS: 13775\nKFS to DIY: 1516\nKFS to YYG: 7664\nKFS to CIU: 9399\nYYG to DIY: 8261\nYYG to CIU: 2127\nCIU to DIY: 9987\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46286,
"style": "rule"
}
|
{
"exact_answer": 46286,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BME\", \"id\": 0}, {\"name\": \"DHN\", \"id\": 1}, {\"name\": \"PHS\", \"id\": 2}, {\"name\": \"MWA\", \"id\": 3}, {\"name\": \"TFI\", \"id\": 4}, {\"name\": \"KFS\", \"id\": 5}, {\"name\": \"YYG\", \"id\": 6}, {\"name\": \"CIU\", \"id\": 7}, {\"name\": \"DIY\", \"id\": 8}], \"links\": [{\"weight\": 12456, \"source\": 0, \"target\": 8}, {\"weight\": 17578, \"source\": 0, \"target\": 3}, {\"weight\": 18848, \"source\": 0, \"target\": 6}, {\"weight\": 18139, \"source\": 0, \"target\": 1}, {\"weight\": 3862, \"source\": 0, \"target\": 4}, {\"weight\": 5119, \"source\": 0, \"target\": 2}, {\"weight\": 18016, \"source\": 0, \"target\": 7}, {\"weight\": 12629, \"source\": 0, \"target\": 5}, {\"weight\": 10544, \"source\": 1, \"target\": 8}, {\"weight\": 1215, \"source\": 1, \"target\": 3}, {\"weight\": 2615, \"source\": 1, \"target\": 6}, {\"weight\": 15912, \"source\": 1, \"target\": 4}, {\"weight\": 14980, \"source\": 1, \"target\": 2}, {\"weight\": 1688, \"source\": 1, \"target\": 7}, {\"weight\": 9952, \"source\": 1, \"target\": 5}, {\"weight\": 7864, \"source\": 2, \"target\": 8}, {\"weight\": 14307, \"source\": 2, \"target\": 3}, {\"weight\": 14357, \"source\": 2, \"target\": 6}, {\"weight\": 6692, \"source\": 2, \"target\": 4}, {\"weight\": 14272, \"source\": 2, \"target\": 7}, {\"weight\": 7999, \"source\": 2, \"target\": 5}, {\"weight\": 10391, \"source\": 3, \"target\": 8}, {\"weight\": 2539, \"source\": 3, \"target\": 6}, {\"weight\": 15231, \"source\": 3, \"target\": 4}, {\"weight\": 1326, \"source\": 3, \"target\": 7}, {\"weight\": 9801, \"source\": 3, \"target\": 5}, {\"weight\": 13769, \"source\": 4, \"target\": 8}, {\"weight\": 16893, \"source\": 4, \"target\": 6}, {\"weight\": 16039, \"source\": 4, \"target\": 7}, {\"weight\": 13775, \"source\": 4, \"target\": 5}, {\"weight\": 1516, \"source\": 5, \"target\": 8}, {\"weight\": 7664, \"source\": 5, \"target\": 6}, {\"weight\": 9399, \"source\": 5, \"target\": 7}, {\"weight\": 8261, \"source\": 6, \"target\": 8}, {\"weight\": 2127, \"source\": 6, \"target\": 7}, {\"weight\": 9987, \"source\": 7, \"target\": 8}]}",
"id": 276,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BME, DHN, PHS, MWA, TFI, KFS, YYG, CIU, DIY\n- Travel distances (in kilometers) between each pair of airports:\nBME to DIY: 12456\nBME to MWA: 17578\nBME to YYG: 18848\nBME to DHN: 18139\nBME to TFI: 3862\nBME to PHS: 5119\nBME to CIU: 18016\nBME to KFS: 12629\nDHN to DIY: 10544\nDHN to MWA: 1215\nDHN to YYG: 2615\nDHN to TFI: 15912\nDHN to PHS: 14980\nDHN to CIU: 1688\nDHN to KFS: 9952\nPHS to DIY: 7864\nPHS to MWA: 14307\nPHS to YYG: 14357\nPHS to TFI: 6692\nPHS to CIU: 14272\nPHS to KFS: 7999\nMWA to DIY: 10391\nMWA to YYG: 2539\nMWA to TFI: 15231\nMWA to CIU: 1326\nMWA to KFS: 9801\nTFI to DIY: 13769\nTFI to YYG: 16893\nTFI to CIU: 16039\nTFI to KFS: 13775\nKFS to DIY: 1516\nKFS to YYG: 7664\nKFS to CIU: 9399\nYYG to DIY: 8261\nYYG to CIU: 2127\nCIU to DIY: 9987\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZO, AEX, JFR, OGL, YQM, CTU, OVD, YQF, EZE\n- Travel distances (in kilometers) between each pair of airports:\nIZO to CTU: 4031\nIZO to EZE: 19308\nIZO to AEX: 11458\nIZO to YQM: 12568\nIZO to YQF: 8924\nIZO to JFR: 12773\nIZO to OVD: 11225\nIZO to OGL: 15948\nAEX to CTU: 13324\nAEX to EZE: 8479\nAEX to YQM: 2975\nAEX to YQF: 3027\nAEX to JFR: 7819\nAEX to OVD: 8163\nAEX to OGL: 4923\nJFR to CTU: 10780\nJFR to EZE: 14221\nJFR to YQM: 6366\nJFR to YQF: 6949\nJFR to OVD: 4585\nJFR to OGL: 9730\nOGL to CTU: 15743\nOGL to EZE: 6714\nOGL to YQM: 5003\nOGL to YQF: 7278\nOGL to OVD: 8672\nYQM to CTU: 13049\nYQM to EZE: 9150\nYQM to YQF: 3829\nYQM to OVD: 5989\nCTU to EZE: 18689\nCTU to YQF: 10790\nCTU to OVD: 9146\nOVD to EZE: 10315\nOVD to YQF: 8169\nYQF to EZE: 11103\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56275,
"style": "rule"
}
|
{
"exact_answer": 56275,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IZO\", \"id\": 0}, {\"name\": \"AEX\", \"id\": 1}, {\"name\": \"JFR\", \"id\": 2}, {\"name\": \"OGL\", \"id\": 3}, {\"name\": \"YQM\", \"id\": 4}, {\"name\": \"CTU\", \"id\": 5}, {\"name\": \"OVD\", \"id\": 6}, {\"name\": \"YQF\", \"id\": 7}, {\"name\": \"EZE\", \"id\": 8}], \"links\": [{\"weight\": 4031, \"source\": 0, \"target\": 5}, {\"weight\": 19308, \"source\": 0, \"target\": 8}, {\"weight\": 11458, \"source\": 0, \"target\": 1}, {\"weight\": 12568, \"source\": 0, \"target\": 4}, {\"weight\": 8924, \"source\": 0, \"target\": 7}, {\"weight\": 12773, \"source\": 0, \"target\": 2}, {\"weight\": 11225, \"source\": 0, \"target\": 6}, {\"weight\": 15948, \"source\": 0, \"target\": 3}, {\"weight\": 13324, \"source\": 1, \"target\": 5}, {\"weight\": 8479, \"source\": 1, \"target\": 8}, {\"weight\": 2975, \"source\": 1, \"target\": 4}, {\"weight\": 3027, \"source\": 1, \"target\": 7}, {\"weight\": 7819, \"source\": 1, \"target\": 2}, {\"weight\": 8163, \"source\": 1, \"target\": 6}, {\"weight\": 4923, \"source\": 1, \"target\": 3}, {\"weight\": 10780, \"source\": 2, \"target\": 5}, {\"weight\": 14221, \"source\": 2, \"target\": 8}, {\"weight\": 6366, \"source\": 2, \"target\": 4}, {\"weight\": 6949, \"source\": 2, \"target\": 7}, {\"weight\": 4585, \"source\": 2, \"target\": 6}, {\"weight\": 9730, \"source\": 2, \"target\": 3}, {\"weight\": 15743, \"source\": 3, \"target\": 5}, {\"weight\": 6714, \"source\": 3, \"target\": 8}, {\"weight\": 5003, \"source\": 3, \"target\": 4}, {\"weight\": 7278, \"source\": 3, \"target\": 7}, {\"weight\": 8672, \"source\": 3, \"target\": 6}, {\"weight\": 13049, \"source\": 4, \"target\": 5}, {\"weight\": 9150, \"source\": 4, \"target\": 8}, {\"weight\": 3829, \"source\": 4, \"target\": 7}, {\"weight\": 5989, \"source\": 4, \"target\": 6}, {\"weight\": 18689, \"source\": 5, \"target\": 8}, {\"weight\": 10790, \"source\": 5, \"target\": 7}, {\"weight\": 9146, \"source\": 5, \"target\": 6}, {\"weight\": 10315, \"source\": 6, \"target\": 8}, {\"weight\": 8169, \"source\": 6, \"target\": 7}, {\"weight\": 11103, \"source\": 7, \"target\": 8}]}",
"id": 277,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZO, AEX, JFR, OGL, YQM, CTU, OVD, YQF, EZE\n- Travel distances (in kilometers) between each pair of airports:\nIZO to CTU: 4031\nIZO to EZE: 19308\nIZO to AEX: 11458\nIZO to YQM: 12568\nIZO to YQF: 8924\nIZO to JFR: 12773\nIZO to OVD: 11225\nIZO to OGL: 15948\nAEX to CTU: 13324\nAEX to EZE: 8479\nAEX to YQM: 2975\nAEX to YQF: 3027\nAEX to JFR: 7819\nAEX to OVD: 8163\nAEX to OGL: 4923\nJFR to CTU: 10780\nJFR to EZE: 14221\nJFR to YQM: 6366\nJFR to YQF: 6949\nJFR to OVD: 4585\nJFR to OGL: 9730\nOGL to CTU: 15743\nOGL to EZE: 6714\nOGL to YQM: 5003\nOGL to YQF: 7278\nOGL to OVD: 8672\nYQM to CTU: 13049\nYQM to EZE: 9150\nYQM to YQF: 3829\nYQM to OVD: 5989\nCTU to EZE: 18689\nCTU to YQF: 10790\nCTU to OVD: 9146\nOVD to EZE: 10315\nOVD to YQF: 8169\nYQF to EZE: 11103\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NIQ, LKE, BJR, AZA, PSE, IXS, SKZ, LYP, RGA\n- Travel distances (in kilometers) between each pair of airports:\nNIQ to RGA: 17097\nNIQ to IXS: 11418\nNIQ to PSE: 8991\nNIQ to BJR: 9937\nNIQ to AZA: 9380\nNIQ to LYP: 10463\nNIQ to LKE: 8050\nNIQ to SKZ: 9872\nLKE to RGA: 12977\nLKE to IXS: 12745\nLKE to PSE: 6021\nLKE to BJR: 13900\nLKE to AZA: 1859\nLKE to LYP: 14052\nLKE to SKZ: 13369\nBJR to RGA: 14218\nBJR to IXS: 6357\nBJR to PSE: 14289\nBJR to AZA: 14727\nBJR to LYP: 4795\nBJR to SKZ: 4230\nAZA to RGA: 12030\nAZA to IXS: 14564\nAZA to PSE: 5162\nAZA to LYP: 15579\nAZA to SKZ: 14751\nPSE to RGA: 11427\nPSE to IXS: 16009\nPSE to LYP: 15321\nPSE to SKZ: 14589\nIXS to RGA: 19901\nIXS to LYP: 3609\nIXS to SKZ: 2752\nSKZ to RGA: 17650\nSKZ to LYP: 1271\nLYP to RGA: 18215\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60952,
"style": "rule"
}
|
{
"exact_answer": 60952,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NIQ\", \"id\": 0}, {\"name\": \"LKE\", \"id\": 1}, {\"name\": \"BJR\", \"id\": 2}, {\"name\": \"AZA\", \"id\": 3}, {\"name\": \"PSE\", \"id\": 4}, {\"name\": \"IXS\", \"id\": 5}, {\"name\": \"SKZ\", \"id\": 6}, {\"name\": \"LYP\", \"id\": 7}, {\"name\": \"RGA\", \"id\": 8}], \"links\": [{\"weight\": 17097, \"source\": 0, \"target\": 8}, {\"weight\": 11418, \"source\": 0, \"target\": 5}, {\"weight\": 8991, \"source\": 0, \"target\": 4}, {\"weight\": 9937, \"source\": 0, \"target\": 2}, {\"weight\": 9380, \"source\": 0, \"target\": 3}, {\"weight\": 10463, \"source\": 0, \"target\": 7}, {\"weight\": 8050, \"source\": 0, \"target\": 1}, {\"weight\": 9872, \"source\": 0, \"target\": 6}, {\"weight\": 12977, \"source\": 1, \"target\": 8}, {\"weight\": 12745, \"source\": 1, \"target\": 5}, {\"weight\": 6021, \"source\": 1, \"target\": 4}, {\"weight\": 13900, \"source\": 1, \"target\": 2}, {\"weight\": 1859, \"source\": 1, \"target\": 3}, {\"weight\": 14052, \"source\": 1, \"target\": 7}, {\"weight\": 13369, \"source\": 1, \"target\": 6}, {\"weight\": 14218, \"source\": 2, \"target\": 8}, {\"weight\": 6357, \"source\": 2, \"target\": 5}, {\"weight\": 14289, \"source\": 2, \"target\": 4}, {\"weight\": 14727, \"source\": 2, \"target\": 3}, {\"weight\": 4795, \"source\": 2, \"target\": 7}, {\"weight\": 4230, \"source\": 2, \"target\": 6}, {\"weight\": 12030, \"source\": 3, \"target\": 8}, {\"weight\": 14564, \"source\": 3, \"target\": 5}, {\"weight\": 5162, \"source\": 3, \"target\": 4}, {\"weight\": 15579, \"source\": 3, \"target\": 7}, {\"weight\": 14751, \"source\": 3, \"target\": 6}, {\"weight\": 11427, \"source\": 4, \"target\": 8}, {\"weight\": 16009, \"source\": 4, \"target\": 5}, {\"weight\": 15321, \"source\": 4, \"target\": 7}, {\"weight\": 14589, \"source\": 4, \"target\": 6}, {\"weight\": 19901, \"source\": 5, \"target\": 8}, {\"weight\": 3609, \"source\": 5, \"target\": 7}, {\"weight\": 2752, \"source\": 5, \"target\": 6}, {\"weight\": 17650, \"source\": 6, \"target\": 8}, {\"weight\": 1271, \"source\": 6, \"target\": 7}, {\"weight\": 18215, \"source\": 7, \"target\": 8}]}",
"id": 278,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NIQ, LKE, BJR, AZA, PSE, IXS, SKZ, LYP, RGA\n- Travel distances (in kilometers) between each pair of airports:\nNIQ to RGA: 17097\nNIQ to IXS: 11418\nNIQ to PSE: 8991\nNIQ to BJR: 9937\nNIQ to AZA: 9380\nNIQ to LYP: 10463\nNIQ to LKE: 8050\nNIQ to SKZ: 9872\nLKE to RGA: 12977\nLKE to IXS: 12745\nLKE to PSE: 6021\nLKE to BJR: 13900\nLKE to AZA: 1859\nLKE to LYP: 14052\nLKE to SKZ: 13369\nBJR to RGA: 14218\nBJR to IXS: 6357\nBJR to PSE: 14289\nBJR to AZA: 14727\nBJR to LYP: 4795\nBJR to SKZ: 4230\nAZA to RGA: 12030\nAZA to IXS: 14564\nAZA to PSE: 5162\nAZA to LYP: 15579\nAZA to SKZ: 14751\nPSE to RGA: 11427\nPSE to IXS: 16009\nPSE to LYP: 15321\nPSE to SKZ: 14589\nIXS to RGA: 19901\nIXS to LYP: 3609\nIXS to SKZ: 2752\nSKZ to RGA: 17650\nSKZ to LYP: 1271\nLYP to RGA: 18215\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BXR, IKI, CYO, EDA, COR, TOY, RDU, EVN, RTA\n- Travel distances (in kilometers) between each pair of airports:\nBXR to EVN: 3013\nBXR to COR: 15459\nBXR to RDU: 11766\nBXR to CYO: 13069\nBXR to TOY: 8526\nBXR to RTA: 16163\nBXR to EDA: 14203\nBXR to IKI: 8277\nIKI to EVN: 7629\nIKI to COR: 19089\nIKI to RDU: 12090\nIKI to CYO: 13761\nIKI to TOY: 1307\nIKI to RTA: 9406\nIKI to EDA: 9986\nCYO to EVN: 11285\nCYO to COR: 6528\nCYO to RDU: 2114\nCYO to TOY: 12978\nCYO to RTA: 13569\nCYO to EDA: 6235\nEDA to EVN: 12020\nEDA to COR: 11791\nEDA to RDU: 5028\nEDA to TOY: 9203\nEDA to RTA: 11230\nCOR to EVN: 13862\nCOR to RDU: 7761\nCOR to TOY: 18314\nCOR to RTA: 13054\nTOY to EVN: 7878\nTOY to RDU: 11690\nTOY to RTA: 9623\nRDU to EVN: 9761\nRDU to RTA: 13072\nEVN to RTA: 15659\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60964,
"style": "rule"
}
|
{
"exact_answer": 60964,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BXR\", \"id\": 0}, {\"name\": \"IKI\", \"id\": 1}, {\"name\": \"CYO\", \"id\": 2}, {\"name\": \"EDA\", \"id\": 3}, {\"name\": \"COR\", \"id\": 4}, {\"name\": \"TOY\", \"id\": 5}, {\"name\": \"RDU\", \"id\": 6}, {\"name\": \"EVN\", \"id\": 7}, {\"name\": \"RTA\", \"id\": 8}], \"links\": [{\"weight\": 3013, \"source\": 0, \"target\": 7}, {\"weight\": 15459, \"source\": 0, \"target\": 4}, {\"weight\": 11766, \"source\": 0, \"target\": 6}, {\"weight\": 13069, \"source\": 0, \"target\": 2}, {\"weight\": 8526, \"source\": 0, \"target\": 5}, {\"weight\": 16163, \"source\": 0, \"target\": 8}, {\"weight\": 14203, \"source\": 0, \"target\": 3}, {\"weight\": 8277, \"source\": 0, \"target\": 1}, {\"weight\": 7629, \"source\": 1, \"target\": 7}, {\"weight\": 19089, \"source\": 1, \"target\": 4}, {\"weight\": 12090, \"source\": 1, \"target\": 6}, {\"weight\": 13761, \"source\": 1, \"target\": 2}, {\"weight\": 1307, \"source\": 1, \"target\": 5}, {\"weight\": 9406, \"source\": 1, \"target\": 8}, {\"weight\": 9986, \"source\": 1, \"target\": 3}, {\"weight\": 11285, \"source\": 2, \"target\": 7}, {\"weight\": 6528, \"source\": 2, \"target\": 4}, {\"weight\": 2114, \"source\": 2, \"target\": 6}, {\"weight\": 12978, \"source\": 2, \"target\": 5}, {\"weight\": 13569, \"source\": 2, \"target\": 8}, {\"weight\": 6235, \"source\": 2, \"target\": 3}, {\"weight\": 12020, \"source\": 3, \"target\": 7}, {\"weight\": 11791, \"source\": 3, \"target\": 4}, {\"weight\": 5028, \"source\": 3, \"target\": 6}, {\"weight\": 9203, \"source\": 3, \"target\": 5}, {\"weight\": 11230, \"source\": 3, \"target\": 8}, {\"weight\": 13862, \"source\": 4, \"target\": 7}, {\"weight\": 7761, \"source\": 4, \"target\": 6}, {\"weight\": 18314, \"source\": 4, \"target\": 5}, {\"weight\": 13054, \"source\": 4, \"target\": 8}, {\"weight\": 7878, \"source\": 5, \"target\": 7}, {\"weight\": 11690, \"source\": 5, \"target\": 6}, {\"weight\": 9623, \"source\": 5, \"target\": 8}, {\"weight\": 9761, \"source\": 6, \"target\": 7}, {\"weight\": 13072, \"source\": 6, \"target\": 8}, {\"weight\": 15659, \"source\": 7, \"target\": 8}]}",
"id": 279,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BXR, IKI, CYO, EDA, COR, TOY, RDU, EVN, RTA\n- Travel distances (in kilometers) between each pair of airports:\nBXR to EVN: 3013\nBXR to COR: 15459\nBXR to RDU: 11766\nBXR to CYO: 13069\nBXR to TOY: 8526\nBXR to RTA: 16163\nBXR to EDA: 14203\nBXR to IKI: 8277\nIKI to EVN: 7629\nIKI to COR: 19089\nIKI to RDU: 12090\nIKI to CYO: 13761\nIKI to TOY: 1307\nIKI to RTA: 9406\nIKI to EDA: 9986\nCYO to EVN: 11285\nCYO to COR: 6528\nCYO to RDU: 2114\nCYO to TOY: 12978\nCYO to RTA: 13569\nCYO to EDA: 6235\nEDA to EVN: 12020\nEDA to COR: 11791\nEDA to RDU: 5028\nEDA to TOY: 9203\nEDA to RTA: 11230\nCOR to EVN: 13862\nCOR to RDU: 7761\nCOR to TOY: 18314\nCOR to RTA: 13054\nTOY to EVN: 7878\nTOY to RDU: 11690\nTOY to RTA: 9623\nRDU to EVN: 9761\nRDU to RTA: 13072\nEVN to RTA: 15659\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGP, IPA, LOS, PHE, GOI, RAE, BLJ, CGR, LBB\n- Travel distances (in kilometers) between each pair of airports:\nLGP to CGR: 19676\nLGP to LOS: 13119\nLGP to GOI: 5474\nLGP to LBB: 13406\nLGP to BLJ: 12015\nLGP to IPA: 6556\nLGP to PHE: 4339\nLGP to RAE: 8961\nIPA to CGR: 15214\nIPA to LOS: 18197\nIPA to GOI: 11448\nIPA to LBB: 11648\nIPA to BLJ: 18460\nIPA to PHE: 5640\nIPA to RAE: 15320\nLOS to CGR: 7251\nLOS to GOI: 8085\nLOS to LBB: 11021\nLOS to BLJ: 3778\nLOS to PHE: 14043\nLOS to RAE: 5244\nPHE to CGR: 17968\nPHE to GOI: 6670\nPHE to LBB: 16737\nPHE to BLJ: 14205\nPHE to RAE: 10525\nGOI to CGR: 15118\nGOI to LBB: 15242\nGOI to BLJ: 7577\nGOI to RAE: 3910\nRAE to CGR: 12485\nRAE to LBB: 13844\nRAE to BLJ: 5178\nBLJ to CGR: 9174\nBLJ to LBB: 9446\nCGR to LBB: 8579\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55797,
"style": "rule"
}
|
{
"exact_answer": 55797,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LGP\", \"id\": 0}, {\"name\": \"IPA\", \"id\": 1}, {\"name\": \"LOS\", \"id\": 2}, {\"name\": \"PHE\", \"id\": 3}, {\"name\": \"GOI\", \"id\": 4}, {\"name\": \"RAE\", \"id\": 5}, {\"name\": \"BLJ\", \"id\": 6}, {\"name\": \"CGR\", \"id\": 7}, {\"name\": \"LBB\", \"id\": 8}], \"links\": [{\"weight\": 19676, \"source\": 0, \"target\": 7}, {\"weight\": 13119, \"source\": 0, \"target\": 2}, {\"weight\": 5474, \"source\": 0, \"target\": 4}, {\"weight\": 13406, \"source\": 0, \"target\": 8}, {\"weight\": 12015, \"source\": 0, \"target\": 6}, {\"weight\": 6556, \"source\": 0, \"target\": 1}, {\"weight\": 4339, \"source\": 0, \"target\": 3}, {\"weight\": 8961, \"source\": 0, \"target\": 5}, {\"weight\": 15214, \"source\": 1, \"target\": 7}, {\"weight\": 18197, \"source\": 1, \"target\": 2}, {\"weight\": 11448, \"source\": 1, \"target\": 4}, {\"weight\": 11648, \"source\": 1, \"target\": 8}, {\"weight\": 18460, \"source\": 1, \"target\": 6}, {\"weight\": 5640, \"source\": 1, \"target\": 3}, {\"weight\": 15320, \"source\": 1, \"target\": 5}, {\"weight\": 7251, \"source\": 2, \"target\": 7}, {\"weight\": 8085, \"source\": 2, \"target\": 4}, {\"weight\": 11021, \"source\": 2, \"target\": 8}, {\"weight\": 3778, \"source\": 2, \"target\": 6}, {\"weight\": 14043, \"source\": 2, \"target\": 3}, {\"weight\": 5244, \"source\": 2, \"target\": 5}, {\"weight\": 17968, \"source\": 3, \"target\": 7}, {\"weight\": 6670, \"source\": 3, \"target\": 4}, {\"weight\": 16737, \"source\": 3, \"target\": 8}, {\"weight\": 14205, \"source\": 3, \"target\": 6}, {\"weight\": 10525, \"source\": 3, \"target\": 5}, {\"weight\": 15118, \"source\": 4, \"target\": 7}, {\"weight\": 15242, \"source\": 4, \"target\": 8}, {\"weight\": 7577, \"source\": 4, \"target\": 6}, {\"weight\": 3910, \"source\": 4, \"target\": 5}, {\"weight\": 12485, \"source\": 5, \"target\": 7}, {\"weight\": 13844, \"source\": 5, \"target\": 8}, {\"weight\": 5178, \"source\": 5, \"target\": 6}, {\"weight\": 9174, \"source\": 6, \"target\": 7}, {\"weight\": 9446, \"source\": 6, \"target\": 8}, {\"weight\": 8579, \"source\": 7, \"target\": 8}]}",
"id": 280,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGP, IPA, LOS, PHE, GOI, RAE, BLJ, CGR, LBB\n- Travel distances (in kilometers) between each pair of airports:\nLGP to CGR: 19676\nLGP to LOS: 13119\nLGP to GOI: 5474\nLGP to LBB: 13406\nLGP to BLJ: 12015\nLGP to IPA: 6556\nLGP to PHE: 4339\nLGP to RAE: 8961\nIPA to CGR: 15214\nIPA to LOS: 18197\nIPA to GOI: 11448\nIPA to LBB: 11648\nIPA to BLJ: 18460\nIPA to PHE: 5640\nIPA to RAE: 15320\nLOS to CGR: 7251\nLOS to GOI: 8085\nLOS to LBB: 11021\nLOS to BLJ: 3778\nLOS to PHE: 14043\nLOS to RAE: 5244\nPHE to CGR: 17968\nPHE to GOI: 6670\nPHE to LBB: 16737\nPHE to BLJ: 14205\nPHE to RAE: 10525\nGOI to CGR: 15118\nGOI to LBB: 15242\nGOI to BLJ: 7577\nGOI to RAE: 3910\nRAE to CGR: 12485\nRAE to LBB: 13844\nRAE to BLJ: 5178\nBLJ to CGR: 9174\nBLJ to LBB: 9446\nCGR to LBB: 8579\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JDH, CAY, IGR, YCY, HYG, ALW, BKI, LUM, KYA\n- Travel distances (in kilometers) between each pair of airports:\nJDH to CAY: 14178\nJDH to LUM: 3477\nJDH to BKI: 5420\nJDH to YCY: 14150\nJDH to IGR: 17303\nJDH to ALW: 13303\nJDH to HYG: 14126\nJDH to KYA: 5442\nCAY to LUM: 16234\nCAY to BKI: 18530\nCAY to YCY: 7901\nCAY to IGR: 5864\nCAY to ALW: 8458\nCAY to HYG: 9281\nCAY to KYA: 9791\nIGR to LUM: 20078\nIGR to BKI: 19795\nIGR to YCY: 12961\nIGR to ALW: 12602\nIGR to HYG: 13425\nIGR to KYA: 13775\nYCY to LUM: 15802\nYCY to BKI: 16408\nYCY to ALW: 5315\nYCY to HYG: 6138\nYCY to KYA: 9918\nHYG to LUM: 12267\nHYG to BKI: 12962\nHYG to ALW: 1505\nHYG to KYA: 11582\nALW to LUM: 11444\nALW to BKI: 12139\nALW to KYA: 10759\nBKI to LUM: 3440\nBKI to KYA: 9912\nLUM to KYA: 7969\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59681,
"style": "rule"
}
|
{
"exact_answer": 59681,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JDH\", \"id\": 0}, {\"name\": \"CAY\", \"id\": 1}, {\"name\": \"IGR\", \"id\": 2}, {\"name\": \"YCY\", \"id\": 3}, {\"name\": \"HYG\", \"id\": 4}, {\"name\": \"ALW\", \"id\": 5}, {\"name\": \"BKI\", \"id\": 6}, {\"name\": \"LUM\", \"id\": 7}, {\"name\": \"KYA\", \"id\": 8}], \"links\": [{\"weight\": 14178, \"source\": 0, \"target\": 1}, {\"weight\": 3477, \"source\": 0, \"target\": 7}, {\"weight\": 5420, \"source\": 0, \"target\": 6}, {\"weight\": 14150, \"source\": 0, \"target\": 3}, {\"weight\": 17303, \"source\": 0, \"target\": 2}, {\"weight\": 13303, \"source\": 0, \"target\": 5}, {\"weight\": 14126, \"source\": 0, \"target\": 4}, {\"weight\": 5442, \"source\": 0, \"target\": 8}, {\"weight\": 16234, \"source\": 1, \"target\": 7}, {\"weight\": 18530, \"source\": 1, \"target\": 6}, {\"weight\": 7901, \"source\": 1, \"target\": 3}, {\"weight\": 5864, \"source\": 1, \"target\": 2}, {\"weight\": 8458, \"source\": 1, \"target\": 5}, {\"weight\": 9281, \"source\": 1, \"target\": 4}, {\"weight\": 9791, \"source\": 1, \"target\": 8}, {\"weight\": 20078, \"source\": 2, \"target\": 7}, {\"weight\": 19795, \"source\": 2, \"target\": 6}, {\"weight\": 12961, \"source\": 2, \"target\": 3}, {\"weight\": 12602, \"source\": 2, \"target\": 5}, {\"weight\": 13425, \"source\": 2, \"target\": 4}, {\"weight\": 13775, \"source\": 2, \"target\": 8}, {\"weight\": 15802, \"source\": 3, \"target\": 7}, {\"weight\": 16408, \"source\": 3, \"target\": 6}, {\"weight\": 5315, \"source\": 3, \"target\": 5}, {\"weight\": 6138, \"source\": 3, \"target\": 4}, {\"weight\": 9918, \"source\": 3, \"target\": 8}, {\"weight\": 12267, \"source\": 4, \"target\": 7}, {\"weight\": 12962, \"source\": 4, \"target\": 6}, {\"weight\": 1505, \"source\": 4, \"target\": 5}, {\"weight\": 11582, \"source\": 4, \"target\": 8}, {\"weight\": 11444, \"source\": 5, \"target\": 7}, {\"weight\": 12139, \"source\": 5, \"target\": 6}, {\"weight\": 10759, \"source\": 5, \"target\": 8}, {\"weight\": 3440, \"source\": 6, \"target\": 7}, {\"weight\": 9912, \"source\": 6, \"target\": 8}, {\"weight\": 7969, \"source\": 7, \"target\": 8}]}",
"id": 281,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JDH, CAY, IGR, YCY, HYG, ALW, BKI, LUM, KYA\n- Travel distances (in kilometers) between each pair of airports:\nJDH to CAY: 14178\nJDH to LUM: 3477\nJDH to BKI: 5420\nJDH to YCY: 14150\nJDH to IGR: 17303\nJDH to ALW: 13303\nJDH to HYG: 14126\nJDH to KYA: 5442\nCAY to LUM: 16234\nCAY to BKI: 18530\nCAY to YCY: 7901\nCAY to IGR: 5864\nCAY to ALW: 8458\nCAY to HYG: 9281\nCAY to KYA: 9791\nIGR to LUM: 20078\nIGR to BKI: 19795\nIGR to YCY: 12961\nIGR to ALW: 12602\nIGR to HYG: 13425\nIGR to KYA: 13775\nYCY to LUM: 15802\nYCY to BKI: 16408\nYCY to ALW: 5315\nYCY to HYG: 6138\nYCY to KYA: 9918\nHYG to LUM: 12267\nHYG to BKI: 12962\nHYG to ALW: 1505\nHYG to KYA: 11582\nALW to LUM: 11444\nALW to BKI: 12139\nALW to KYA: 10759\nBKI to LUM: 3440\nBKI to KYA: 9912\nLUM to KYA: 7969\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, AXT, ELM, GLT, SRY, PSP, DRV, WGP, LDB\n- Travel distances (in kilometers) between each pair of airports:\nYKL to PSP: 4981\nYKL to ELM: 2065\nYKL to LDB: 9810\nYKL to SRY: 10725\nYKL to AXT: 12469\nYKL to WGP: 17913\nYKL to DRV: 13839\nYKL to GLT: 16797\nAXT to PSP: 9414\nAXT to ELM: 11661\nAXT to LDB: 19324\nAXT to SRY: 7643\nAXT to WGP: 6586\nAXT to DRV: 7879\nAXT to GLT: 7481\nELM to PSP: 3561\nELM to LDB: 8430\nELM to SRY: 11513\nELM to WGP: 16986\nELM to DRV: 14593\nELM to GLT: 15676\nGLT to PSP: 12142\nGLT to LDB: 15118\nGLT to SRY: 12505\nGLT to WGP: 4898\nGLT to DRV: 9415\nSRY to PSP: 13810\nSRY to LDB: 13186\nSRY to WGP: 8847\nSRY to DRV: 4483\nPSP to LDB: 10237\nPSP to WGP: 15085\nPSP to DRV: 16157\nDRV to LDB: 15571\nDRV to WGP: 5757\nWGP to LDB: 18815\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60655,
"style": "rule"
}
|
{
"exact_answer": 60655,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YKL\", \"id\": 0}, {\"name\": \"AXT\", \"id\": 1}, {\"name\": \"ELM\", \"id\": 2}, {\"name\": \"GLT\", \"id\": 3}, {\"name\": \"SRY\", \"id\": 4}, {\"name\": \"PSP\", \"id\": 5}, {\"name\": \"DRV\", \"id\": 6}, {\"name\": \"WGP\", \"id\": 7}, {\"name\": \"LDB\", \"id\": 8}], \"links\": [{\"weight\": 4981, \"source\": 0, \"target\": 5}, {\"weight\": 2065, \"source\": 0, \"target\": 2}, {\"weight\": 9810, \"source\": 0, \"target\": 8}, {\"weight\": 10725, \"source\": 0, \"target\": 4}, {\"weight\": 12469, \"source\": 0, \"target\": 1}, {\"weight\": 17913, \"source\": 0, \"target\": 7}, {\"weight\": 13839, \"source\": 0, \"target\": 6}, {\"weight\": 16797, \"source\": 0, \"target\": 3}, {\"weight\": 9414, \"source\": 1, \"target\": 5}, {\"weight\": 11661, \"source\": 1, \"target\": 2}, {\"weight\": 19324, \"source\": 1, \"target\": 8}, {\"weight\": 7643, \"source\": 1, \"target\": 4}, {\"weight\": 6586, \"source\": 1, \"target\": 7}, {\"weight\": 7879, \"source\": 1, \"target\": 6}, {\"weight\": 7481, \"source\": 1, \"target\": 3}, {\"weight\": 3561, \"source\": 2, \"target\": 5}, {\"weight\": 8430, \"source\": 2, \"target\": 8}, {\"weight\": 11513, \"source\": 2, \"target\": 4}, {\"weight\": 16986, \"source\": 2, \"target\": 7}, {\"weight\": 14593, \"source\": 2, \"target\": 6}, {\"weight\": 15676, \"source\": 2, \"target\": 3}, {\"weight\": 12142, \"source\": 3, \"target\": 5}, {\"weight\": 15118, \"source\": 3, \"target\": 8}, {\"weight\": 12505, \"source\": 3, \"target\": 4}, {\"weight\": 4898, \"source\": 3, \"target\": 7}, {\"weight\": 9415, \"source\": 3, \"target\": 6}, {\"weight\": 13810, \"source\": 4, \"target\": 5}, {\"weight\": 13186, \"source\": 4, \"target\": 8}, {\"weight\": 8847, \"source\": 4, \"target\": 7}, {\"weight\": 4483, \"source\": 4, \"target\": 6}, {\"weight\": 10237, \"source\": 5, \"target\": 8}, {\"weight\": 15085, \"source\": 5, \"target\": 7}, {\"weight\": 16157, \"source\": 5, \"target\": 6}, {\"weight\": 15571, \"source\": 6, \"target\": 8}, {\"weight\": 5757, \"source\": 6, \"target\": 7}, {\"weight\": 18815, \"source\": 7, \"target\": 8}]}",
"id": 282,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, AXT, ELM, GLT, SRY, PSP, DRV, WGP, LDB\n- Travel distances (in kilometers) between each pair of airports:\nYKL to PSP: 4981\nYKL to ELM: 2065\nYKL to LDB: 9810\nYKL to SRY: 10725\nYKL to AXT: 12469\nYKL to WGP: 17913\nYKL to DRV: 13839\nYKL to GLT: 16797\nAXT to PSP: 9414\nAXT to ELM: 11661\nAXT to LDB: 19324\nAXT to SRY: 7643\nAXT to WGP: 6586\nAXT to DRV: 7879\nAXT to GLT: 7481\nELM to PSP: 3561\nELM to LDB: 8430\nELM to SRY: 11513\nELM to WGP: 16986\nELM to DRV: 14593\nELM to GLT: 15676\nGLT to PSP: 12142\nGLT to LDB: 15118\nGLT to SRY: 12505\nGLT to WGP: 4898\nGLT to DRV: 9415\nSRY to PSP: 13810\nSRY to LDB: 13186\nSRY to WGP: 8847\nSRY to DRV: 4483\nPSP to LDB: 10237\nPSP to WGP: 15085\nPSP to DRV: 16157\nDRV to LDB: 15571\nDRV to WGP: 5757\nWGP to LDB: 18815\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOH, LED, SMX, YPR, ATA, CLE, YVP, ENA, LNS\n- Travel distances (in kilometers) between each pair of airports:\nBOH to LED: 2736\nBOH to YVP: 6436\nBOH to ENA: 10295\nBOH to CLE: 5991\nBOH to YPR: 8548\nBOH to SMX: 9244\nBOH to LNS: 6048\nBOH to ATA: 11281\nLED to YVP: 7680\nLED to ENA: 10974\nLED to CLE: 7223\nLED to YPR: 9227\nLED to SMX: 9769\nLED to LNS: 7401\nLED to ATA: 12536\nSMX to YVP: 4820\nSMX to ENA: 4080\nSMX to CLE: 3426\nSMX to YPR: 2709\nSMX to LNS: 3977\nSMX to ATA: 7237\nYPR to YVP: 4833\nYPR to ENA: 3378\nYPR to CLE: 4056\nYPR to LNS: 4680\nYPR to ATA: 9244\nATA to YVP: 8152\nATA to ENA: 10709\nATA to CLE: 6262\nATA to LNS: 6151\nCLE to YVP: 2266\nCLE to ENA: 5135\nCLE to LNS: 627\nYVP to ENA: 6552\nYVP to LNS: 2400\nENA to LNS: 5759\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42138,
"style": "rule"
}
|
{
"exact_answer": 42138,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BOH\", \"id\": 0}, {\"name\": \"LED\", \"id\": 1}, {\"name\": \"SMX\", \"id\": 2}, {\"name\": \"YPR\", \"id\": 3}, {\"name\": \"ATA\", \"id\": 4}, {\"name\": \"CLE\", \"id\": 5}, {\"name\": \"YVP\", \"id\": 6}, {\"name\": \"ENA\", \"id\": 7}, {\"name\": \"LNS\", \"id\": 8}], \"links\": [{\"weight\": 2736, \"source\": 0, \"target\": 1}, {\"weight\": 6436, \"source\": 0, \"target\": 6}, {\"weight\": 10295, \"source\": 0, \"target\": 7}, {\"weight\": 5991, \"source\": 0, \"target\": 5}, {\"weight\": 8548, \"source\": 0, \"target\": 3}, {\"weight\": 9244, \"source\": 0, \"target\": 2}, {\"weight\": 6048, \"source\": 0, \"target\": 8}, {\"weight\": 11281, \"source\": 0, \"target\": 4}, {\"weight\": 7680, \"source\": 1, \"target\": 6}, {\"weight\": 10974, \"source\": 1, \"target\": 7}, {\"weight\": 7223, \"source\": 1, \"target\": 5}, {\"weight\": 9227, \"source\": 1, \"target\": 3}, {\"weight\": 9769, \"source\": 1, \"target\": 2}, {\"weight\": 7401, \"source\": 1, \"target\": 8}, {\"weight\": 12536, \"source\": 1, \"target\": 4}, {\"weight\": 4820, \"source\": 2, \"target\": 6}, {\"weight\": 4080, \"source\": 2, \"target\": 7}, {\"weight\": 3426, \"source\": 2, \"target\": 5}, {\"weight\": 2709, \"source\": 2, \"target\": 3}, {\"weight\": 3977, \"source\": 2, \"target\": 8}, {\"weight\": 7237, \"source\": 2, \"target\": 4}, {\"weight\": 4833, \"source\": 3, \"target\": 6}, {\"weight\": 3378, \"source\": 3, \"target\": 7}, {\"weight\": 4056, \"source\": 3, \"target\": 5}, {\"weight\": 4680, \"source\": 3, \"target\": 8}, {\"weight\": 9244, \"source\": 3, \"target\": 4}, {\"weight\": 8152, \"source\": 4, \"target\": 6}, {\"weight\": 10709, \"source\": 4, \"target\": 7}, {\"weight\": 6262, \"source\": 4, \"target\": 5}, {\"weight\": 6151, \"source\": 4, \"target\": 8}, {\"weight\": 2266, \"source\": 5, \"target\": 6}, {\"weight\": 5135, \"source\": 5, \"target\": 7}, {\"weight\": 627, \"source\": 5, \"target\": 8}, {\"weight\": 6552, \"source\": 6, \"target\": 7}, {\"weight\": 2400, \"source\": 6, \"target\": 8}, {\"weight\": 5759, \"source\": 7, \"target\": 8}]}",
"id": 283,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOH, LED, SMX, YPR, ATA, CLE, YVP, ENA, LNS\n- Travel distances (in kilometers) between each pair of airports:\nBOH to LED: 2736\nBOH to YVP: 6436\nBOH to ENA: 10295\nBOH to CLE: 5991\nBOH to YPR: 8548\nBOH to SMX: 9244\nBOH to LNS: 6048\nBOH to ATA: 11281\nLED to YVP: 7680\nLED to ENA: 10974\nLED to CLE: 7223\nLED to YPR: 9227\nLED to SMX: 9769\nLED to LNS: 7401\nLED to ATA: 12536\nSMX to YVP: 4820\nSMX to ENA: 4080\nSMX to CLE: 3426\nSMX to YPR: 2709\nSMX to LNS: 3977\nSMX to ATA: 7237\nYPR to YVP: 4833\nYPR to ENA: 3378\nYPR to CLE: 4056\nYPR to LNS: 4680\nYPR to ATA: 9244\nATA to YVP: 8152\nATA to ENA: 10709\nATA to CLE: 6262\nATA to LNS: 6151\nCLE to YVP: 2266\nCLE to ENA: 5135\nCLE to LNS: 627\nYVP to ENA: 6552\nYVP to LNS: 2400\nENA to LNS: 5759\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MFE, VHM, QOW, HYD, CHS, TBB, DSK, CCM\n- Travel distances (in kilometers) between each pair of airports:\nSJW to VHM: 7851\nSJW to HYD: 4524\nSJW to CHS: 12511\nSJW to MFE: 12380\nSJW to CCM: 18282\nSJW to DSK: 4429\nSJW to TBB: 3135\nSJW to QOW: 11303\nMFE to VHM: 9406\nMFE to HYD: 15263\nMFE to CHS: 1994\nMFE to CCM: 8731\nMFE to DSK: 13903\nMFE to TBB: 15279\nMFE to QOW: 11425\nVHM to HYD: 7377\nVHM to CHS: 7867\nVHM to CCM: 12131\nVHM to DSK: 5720\nVHM to TBB: 9483\nVHM to QOW: 6735\nQOW to HYD: 8175\nQOW to CHS: 9916\nQOW to CCM: 7394\nQOW to DSK: 7468\nQOW to TBB: 11684\nHYD to CHS: 14017\nHYD to CCM: 15006\nHYD to DSK: 2285\nHYD to TBB: 3519\nCHS to CCM: 7791\nCHS to DSK: 12411\nCHS to TBB: 15037\nTBB to CCM: 18040\nTBB to DSK: 5049\nDSK to CCM: 14517\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50244,
"style": "rule"
}
|
{
"exact_answer": 50244,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SJW\", \"id\": 0}, {\"name\": \"MFE\", \"id\": 1}, {\"name\": \"VHM\", \"id\": 2}, {\"name\": \"QOW\", \"id\": 3}, {\"name\": \"HYD\", \"id\": 4}, {\"name\": \"CHS\", \"id\": 5}, {\"name\": \"TBB\", \"id\": 6}, {\"name\": \"DSK\", \"id\": 7}, {\"name\": \"CCM\", \"id\": 8}], \"links\": [{\"weight\": 7851, \"source\": 0, \"target\": 2}, {\"weight\": 4524, \"source\": 0, \"target\": 4}, {\"weight\": 12511, \"source\": 0, \"target\": 5}, {\"weight\": 12380, \"source\": 0, \"target\": 1}, {\"weight\": 18282, \"source\": 0, \"target\": 8}, {\"weight\": 4429, \"source\": 0, \"target\": 7}, {\"weight\": 3135, \"source\": 0, \"target\": 6}, {\"weight\": 11303, \"source\": 0, \"target\": 3}, {\"weight\": 9406, \"source\": 1, \"target\": 2}, {\"weight\": 15263, \"source\": 1, \"target\": 4}, {\"weight\": 1994, \"source\": 1, \"target\": 5}, {\"weight\": 8731, \"source\": 1, \"target\": 8}, {\"weight\": 13903, \"source\": 1, \"target\": 7}, {\"weight\": 15279, \"source\": 1, \"target\": 6}, {\"weight\": 11425, \"source\": 1, \"target\": 3}, {\"weight\": 7377, \"source\": 2, \"target\": 4}, {\"weight\": 7867, \"source\": 2, \"target\": 5}, {\"weight\": 12131, \"source\": 2, \"target\": 8}, {\"weight\": 5720, \"source\": 2, \"target\": 7}, {\"weight\": 9483, \"source\": 2, \"target\": 6}, {\"weight\": 6735, \"source\": 2, \"target\": 3}, {\"weight\": 8175, \"source\": 3, \"target\": 4}, {\"weight\": 9916, \"source\": 3, \"target\": 5}, {\"weight\": 7394, \"source\": 3, \"target\": 8}, {\"weight\": 7468, \"source\": 3, \"target\": 7}, {\"weight\": 11684, \"source\": 3, \"target\": 6}, {\"weight\": 14017, \"source\": 4, \"target\": 5}, {\"weight\": 15006, \"source\": 4, \"target\": 8}, {\"weight\": 2285, \"source\": 4, \"target\": 7}, {\"weight\": 3519, \"source\": 4, \"target\": 6}, {\"weight\": 7791, \"source\": 5, \"target\": 8}, {\"weight\": 12411, \"source\": 5, \"target\": 7}, {\"weight\": 15037, \"source\": 5, \"target\": 6}, {\"weight\": 18040, \"source\": 6, \"target\": 8}, {\"weight\": 5049, \"source\": 6, \"target\": 7}, {\"weight\": 14517, \"source\": 7, \"target\": 8}]}",
"id": 284,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MFE, VHM, QOW, HYD, CHS, TBB, DSK, CCM\n- Travel distances (in kilometers) between each pair of airports:\nSJW to VHM: 7851\nSJW to HYD: 4524\nSJW to CHS: 12511\nSJW to MFE: 12380\nSJW to CCM: 18282\nSJW to DSK: 4429\nSJW to TBB: 3135\nSJW to QOW: 11303\nMFE to VHM: 9406\nMFE to HYD: 15263\nMFE to CHS: 1994\nMFE to CCM: 8731\nMFE to DSK: 13903\nMFE to TBB: 15279\nMFE to QOW: 11425\nVHM to HYD: 7377\nVHM to CHS: 7867\nVHM to CCM: 12131\nVHM to DSK: 5720\nVHM to TBB: 9483\nVHM to QOW: 6735\nQOW to HYD: 8175\nQOW to CHS: 9916\nQOW to CCM: 7394\nQOW to DSK: 7468\nQOW to TBB: 11684\nHYD to CHS: 14017\nHYD to CCM: 15006\nHYD to DSK: 2285\nHYD to TBB: 3519\nCHS to CCM: 7791\nCHS to DSK: 12411\nCHS to TBB: 15037\nTBB to CCM: 18040\nTBB to DSK: 5049\nDSK to CCM: 14517\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, CEG, GWT, LNV, MWZ, CYB, TIJ, OMS, USM\n- Travel distances (in kilometers) between each pair of airports:\nVVI to TIJ: 8133\nVVI to GWT: 10773\nVVI to LNV: 17202\nVVI to USM: 18576\nVVI to OMS: 14574\nVVI to MWZ: 11595\nVVI to CYB: 5057\nVVI to CEG: 10330\nCEG to TIJ: 9821\nCEG to GWT: 1272\nCEG to LNV: 15985\nCEG to USM: 10396\nCEG to OMS: 5043\nCEG to MWZ: 7613\nCEG to CYB: 8002\nGWT to TIJ: 10322\nGWT to LNV: 15072\nGWT to USM: 9512\nGWT to OMS: 4170\nGWT to MWZ: 7314\nGWT to CYB: 8679\nLNV to TIJ: 14773\nLNV to USM: 6872\nLNV to OMS: 11050\nLNV to MWZ: 14177\nLNV to CYB: 17425\nMWZ to TIJ: 16933\nMWZ to USM: 8150\nMWZ to OMS: 7738\nMWZ to CYB: 14762\nCYB to TIJ: 4176\nCYB to USM: 16951\nCYB to OMS: 11911\nTIJ to USM: 13922\nTIJ to OMS: 13197\nOMS to USM: 5915\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61443,
"style": "rule"
}
|
{
"exact_answer": 61443,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VVI\", \"id\": 0}, {\"name\": \"CEG\", \"id\": 1}, {\"name\": \"GWT\", \"id\": 2}, {\"name\": \"LNV\", \"id\": 3}, {\"name\": \"MWZ\", \"id\": 4}, {\"name\": \"CYB\", \"id\": 5}, {\"name\": \"TIJ\", \"id\": 6}, {\"name\": \"OMS\", \"id\": 7}, {\"name\": \"USM\", \"id\": 8}], \"links\": [{\"weight\": 8133, \"source\": 0, \"target\": 6}, {\"weight\": 10773, \"source\": 0, \"target\": 2}, {\"weight\": 17202, \"source\": 0, \"target\": 3}, {\"weight\": 18576, \"source\": 0, \"target\": 8}, {\"weight\": 14574, \"source\": 0, \"target\": 7}, {\"weight\": 11595, \"source\": 0, \"target\": 4}, {\"weight\": 5057, \"source\": 0, \"target\": 5}, {\"weight\": 10330, \"source\": 0, \"target\": 1}, {\"weight\": 9821, \"source\": 1, \"target\": 6}, {\"weight\": 1272, \"source\": 1, \"target\": 2}, {\"weight\": 15985, \"source\": 1, \"target\": 3}, {\"weight\": 10396, \"source\": 1, \"target\": 8}, {\"weight\": 5043, \"source\": 1, \"target\": 7}, {\"weight\": 7613, \"source\": 1, \"target\": 4}, {\"weight\": 8002, \"source\": 1, \"target\": 5}, {\"weight\": 10322, \"source\": 2, \"target\": 6}, {\"weight\": 15072, \"source\": 2, \"target\": 3}, {\"weight\": 9512, \"source\": 2, \"target\": 8}, {\"weight\": 4170, \"source\": 2, \"target\": 7}, {\"weight\": 7314, \"source\": 2, \"target\": 4}, {\"weight\": 8679, \"source\": 2, \"target\": 5}, {\"weight\": 14773, \"source\": 3, \"target\": 6}, {\"weight\": 6872, \"source\": 3, \"target\": 8}, {\"weight\": 11050, \"source\": 3, \"target\": 7}, {\"weight\": 14177, \"source\": 3, \"target\": 4}, {\"weight\": 17425, \"source\": 3, \"target\": 5}, {\"weight\": 16933, \"source\": 4, \"target\": 6}, {\"weight\": 8150, \"source\": 4, \"target\": 8}, {\"weight\": 7738, \"source\": 4, \"target\": 7}, {\"weight\": 14762, \"source\": 4, \"target\": 5}, {\"weight\": 4176, \"source\": 5, \"target\": 6}, {\"weight\": 16951, \"source\": 5, \"target\": 8}, {\"weight\": 11911, \"source\": 5, \"target\": 7}, {\"weight\": 13922, \"source\": 6, \"target\": 8}, {\"weight\": 13197, \"source\": 6, \"target\": 7}, {\"weight\": 5915, \"source\": 7, \"target\": 8}]}",
"id": 285,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, CEG, GWT, LNV, MWZ, CYB, TIJ, OMS, USM\n- Travel distances (in kilometers) between each pair of airports:\nVVI to TIJ: 8133\nVVI to GWT: 10773\nVVI to LNV: 17202\nVVI to USM: 18576\nVVI to OMS: 14574\nVVI to MWZ: 11595\nVVI to CYB: 5057\nVVI to CEG: 10330\nCEG to TIJ: 9821\nCEG to GWT: 1272\nCEG to LNV: 15985\nCEG to USM: 10396\nCEG to OMS: 5043\nCEG to MWZ: 7613\nCEG to CYB: 8002\nGWT to TIJ: 10322\nGWT to LNV: 15072\nGWT to USM: 9512\nGWT to OMS: 4170\nGWT to MWZ: 7314\nGWT to CYB: 8679\nLNV to TIJ: 14773\nLNV to USM: 6872\nLNV to OMS: 11050\nLNV to MWZ: 14177\nLNV to CYB: 17425\nMWZ to TIJ: 16933\nMWZ to USM: 8150\nMWZ to OMS: 7738\nMWZ to CYB: 14762\nCYB to TIJ: 4176\nCYB to USM: 16951\nCYB to OMS: 11911\nTIJ to USM: 13922\nTIJ to OMS: 13197\nOMS to USM: 5915\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYP, WAA, TMU, VQS, KRN, GYS, KUH, BUS, NSN\n- Travel distances (in kilometers) between each pair of airports:\nEYP to TMU: 1553\nEYP to WAA: 10072\nEYP to VQS: 2033\nEYP to BUS: 12011\nEYP to GYS: 16425\nEYP to KRN: 10964\nEYP to KUH: 15429\nEYP to NSN: 14603\nWAA to TMU: 8880\nWAA to VQS: 9006\nWAA to BUS: 13891\nWAA to GYS: 13337\nWAA to KRN: 12231\nWAA to KUH: 11745\nWAA to NSN: 13095\nTMU to VQS: 2364\nTMU to BUS: 12360\nTMU to GYS: 15446\nTMU to KRN: 10806\nTMU to KUH: 14191\nTMU to NSN: 15269\nVQS to BUS: 10283\nVQS to GYS: 14913\nVQS to KRN: 9246\nVQS to KUH: 14433\nVQS to NSN: 15996\nKRN to BUS: 3496\nKRN to GYS: 8902\nKRN to KUH: 9253\nKRN to NSN: 18472\nGYS to BUS: 7443\nGYS to KUH: 3607\nGYS to NSN: 10970\nKUH to BUS: 8460\nKUH to NSN: 10323\nBUS to NSN: 16312\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59676,
"style": "rule"
}
|
{
"exact_answer": 59676,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EYP\", \"id\": 0}, {\"name\": \"WAA\", \"id\": 1}, {\"name\": \"TMU\", \"id\": 2}, {\"name\": \"VQS\", \"id\": 3}, {\"name\": \"KRN\", \"id\": 4}, {\"name\": \"GYS\", \"id\": 5}, {\"name\": \"KUH\", \"id\": 6}, {\"name\": \"BUS\", \"id\": 7}, {\"name\": \"NSN\", \"id\": 8}], \"links\": [{\"weight\": 1553, \"source\": 0, \"target\": 2}, {\"weight\": 10072, \"source\": 0, \"target\": 1}, {\"weight\": 2033, \"source\": 0, \"target\": 3}, {\"weight\": 12011, \"source\": 0, \"target\": 7}, {\"weight\": 16425, \"source\": 0, \"target\": 5}, {\"weight\": 10964, \"source\": 0, \"target\": 4}, {\"weight\": 15429, \"source\": 0, \"target\": 6}, {\"weight\": 14603, \"source\": 0, \"target\": 8}, {\"weight\": 8880, \"source\": 1, \"target\": 2}, {\"weight\": 9006, \"source\": 1, \"target\": 3}, {\"weight\": 13891, \"source\": 1, \"target\": 7}, {\"weight\": 13337, \"source\": 1, \"target\": 5}, {\"weight\": 12231, \"source\": 1, \"target\": 4}, {\"weight\": 11745, \"source\": 1, \"target\": 6}, {\"weight\": 13095, \"source\": 1, \"target\": 8}, {\"weight\": 2364, \"source\": 2, \"target\": 3}, {\"weight\": 12360, \"source\": 2, \"target\": 7}, {\"weight\": 15446, \"source\": 2, \"target\": 5}, {\"weight\": 10806, \"source\": 2, \"target\": 4}, {\"weight\": 14191, \"source\": 2, \"target\": 6}, {\"weight\": 15269, \"source\": 2, \"target\": 8}, {\"weight\": 10283, \"source\": 3, \"target\": 7}, {\"weight\": 14913, \"source\": 3, \"target\": 5}, {\"weight\": 9246, \"source\": 3, \"target\": 4}, {\"weight\": 14433, \"source\": 3, \"target\": 6}, {\"weight\": 15996, \"source\": 3, \"target\": 8}, {\"weight\": 3496, \"source\": 4, \"target\": 7}, {\"weight\": 8902, \"source\": 4, \"target\": 5}, {\"weight\": 9253, \"source\": 4, \"target\": 6}, {\"weight\": 18472, \"source\": 4, \"target\": 8}, {\"weight\": 7443, \"source\": 5, \"target\": 7}, {\"weight\": 3607, \"source\": 5, \"target\": 6}, {\"weight\": 10970, \"source\": 5, \"target\": 8}, {\"weight\": 8460, \"source\": 6, \"target\": 7}, {\"weight\": 10323, \"source\": 6, \"target\": 8}, {\"weight\": 16312, \"source\": 7, \"target\": 8}]}",
"id": 286,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYP, WAA, TMU, VQS, KRN, GYS, KUH, BUS, NSN\n- Travel distances (in kilometers) between each pair of airports:\nEYP to TMU: 1553\nEYP to WAA: 10072\nEYP to VQS: 2033\nEYP to BUS: 12011\nEYP to GYS: 16425\nEYP to KRN: 10964\nEYP to KUH: 15429\nEYP to NSN: 14603\nWAA to TMU: 8880\nWAA to VQS: 9006\nWAA to BUS: 13891\nWAA to GYS: 13337\nWAA to KRN: 12231\nWAA to KUH: 11745\nWAA to NSN: 13095\nTMU to VQS: 2364\nTMU to BUS: 12360\nTMU to GYS: 15446\nTMU to KRN: 10806\nTMU to KUH: 14191\nTMU to NSN: 15269\nVQS to BUS: 10283\nVQS to GYS: 14913\nVQS to KRN: 9246\nVQS to KUH: 14433\nVQS to NSN: 15996\nKRN to BUS: 3496\nKRN to GYS: 8902\nKRN to KUH: 9253\nKRN to NSN: 18472\nGYS to BUS: 7443\nGYS to KUH: 3607\nGYS to NSN: 10970\nKUH to BUS: 8460\nKUH to NSN: 10323\nBUS to NSN: 16312\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DIK, NOB, KWM, RBY, YXJ, CUE, PUU, MUR, MHC\n- Travel distances (in kilometers) between each pair of airports:\nDIK to NOB: 4831\nDIK to RBY: 5250\nDIK to YXJ: 2950\nDIK to PUU: 6035\nDIK to CUE: 6257\nDIK to MHC: 13859\nDIK to MUR: 14537\nDIK to KWM: 15549\nNOB to RBY: 8496\nNOB to YXJ: 6194\nNOB to PUU: 1733\nNOB to CUE: 2036\nNOB to MHC: 9365\nNOB to MUR: 17689\nNOB to KWM: 17919\nKWM to RBY: 14650\nKWM to YXJ: 14551\nKWM to PUU: 18257\nKWM to CUE: 17453\nKWM to MHC: 17902\nKWM to MUR: 5822\nRBY to YXJ: 3825\nRBY to PUU: 9726\nRBY to CUE: 9919\nRBY to MHC: 17390\nRBY to MUR: 14936\nYXJ to PUU: 7397\nYXJ to CUE: 7616\nYXJ to MHC: 15213\nYXJ to MUR: 12763\nCUE to PUU: 1119\nCUE to MHC: 7903\nCUE to MUR: 19019\nPUU to MHC: 8707\nPUU to MUR: 18995\nMUR to MHC: 22065\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61021,
"style": "rule"
}
|
{
"exact_answer": 61021,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DIK\", \"id\": 0}, {\"name\": \"NOB\", \"id\": 1}, {\"name\": \"KWM\", \"id\": 2}, {\"name\": \"RBY\", \"id\": 3}, {\"name\": \"YXJ\", \"id\": 4}, {\"name\": \"CUE\", \"id\": 5}, {\"name\": \"PUU\", \"id\": 6}, {\"name\": \"MUR\", \"id\": 7}, {\"name\": \"MHC\", \"id\": 8}], \"links\": [{\"weight\": 4831, \"source\": 0, \"target\": 1}, {\"weight\": 5250, \"source\": 0, \"target\": 3}, {\"weight\": 2950, \"source\": 0, \"target\": 4}, {\"weight\": 6035, \"source\": 0, \"target\": 6}, {\"weight\": 6257, \"source\": 0, \"target\": 5}, {\"weight\": 13859, \"source\": 0, \"target\": 8}, {\"weight\": 14537, \"source\": 0, \"target\": 7}, {\"weight\": 15549, \"source\": 0, \"target\": 2}, {\"weight\": 8496, \"source\": 1, \"target\": 3}, {\"weight\": 6194, \"source\": 1, \"target\": 4}, {\"weight\": 1733, \"source\": 1, \"target\": 6}, {\"weight\": 2036, \"source\": 1, \"target\": 5}, {\"weight\": 9365, \"source\": 1, \"target\": 8}, {\"weight\": 17689, \"source\": 1, \"target\": 7}, {\"weight\": 17919, \"source\": 1, \"target\": 2}, {\"weight\": 14650, \"source\": 2, \"target\": 3}, {\"weight\": 14551, \"source\": 2, \"target\": 4}, {\"weight\": 18257, \"source\": 2, \"target\": 6}, {\"weight\": 17453, \"source\": 2, \"target\": 5}, {\"weight\": 17902, \"source\": 2, \"target\": 8}, {\"weight\": 5822, \"source\": 2, \"target\": 7}, {\"weight\": 3825, \"source\": 3, \"target\": 4}, {\"weight\": 9726, \"source\": 3, \"target\": 6}, {\"weight\": 9919, \"source\": 3, \"target\": 5}, {\"weight\": 17390, \"source\": 3, \"target\": 8}, {\"weight\": 14936, \"source\": 3, \"target\": 7}, {\"weight\": 7397, \"source\": 4, \"target\": 6}, {\"weight\": 7616, \"source\": 4, \"target\": 5}, {\"weight\": 15213, \"source\": 4, \"target\": 8}, {\"weight\": 12763, \"source\": 4, \"target\": 7}, {\"weight\": 1119, \"source\": 5, \"target\": 6}, {\"weight\": 7903, \"source\": 5, \"target\": 8}, {\"weight\": 19019, \"source\": 5, \"target\": 7}, {\"weight\": 8707, \"source\": 6, \"target\": 8}, {\"weight\": 18995, \"source\": 6, \"target\": 7}, {\"weight\": 22065, \"source\": 7, \"target\": 8}]}",
"id": 287,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DIK, NOB, KWM, RBY, YXJ, CUE, PUU, MUR, MHC\n- Travel distances (in kilometers) between each pair of airports:\nDIK to NOB: 4831\nDIK to RBY: 5250\nDIK to YXJ: 2950\nDIK to PUU: 6035\nDIK to CUE: 6257\nDIK to MHC: 13859\nDIK to MUR: 14537\nDIK to KWM: 15549\nNOB to RBY: 8496\nNOB to YXJ: 6194\nNOB to PUU: 1733\nNOB to CUE: 2036\nNOB to MHC: 9365\nNOB to MUR: 17689\nNOB to KWM: 17919\nKWM to RBY: 14650\nKWM to YXJ: 14551\nKWM to PUU: 18257\nKWM to CUE: 17453\nKWM to MHC: 17902\nKWM to MUR: 5822\nRBY to YXJ: 3825\nRBY to PUU: 9726\nRBY to CUE: 9919\nRBY to MHC: 17390\nRBY to MUR: 14936\nYXJ to PUU: 7397\nYXJ to CUE: 7616\nYXJ to MHC: 15213\nYXJ to MUR: 12763\nCUE to PUU: 1119\nCUE to MHC: 7903\nCUE to MUR: 19019\nPUU to MHC: 8707\nPUU to MUR: 18995\nMUR to MHC: 22065\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOU, KSF, YQU, SCC, SCK, BDA, EAS, HME, LYC\n- Travel distances (in kilometers) between each pair of airports:\nMOU to LYC: 11551\nMOU to SCC: 1733\nMOU to BDA: 7606\nMOU to YQU: 4334\nMOU to HME: 13000\nMOU to SCK: 5007\nMOU to EAS: 12247\nMOU to KSF: 13475\nKSF to LYC: 4432\nKSF to SCC: 13481\nKSF to BDA: 8263\nKSF to YQU: 9934\nKSF to HME: 2353\nKSF to SCK: 11697\nKSF to EAS: 2006\nYQU to LYC: 8010\nYQU to SCC: 4340\nYQU to BDA: 4900\nYQU to HME: 9459\nYQU to SCK: 2806\nYQU to EAS: 8706\nSCC to LYC: 11557\nSCC to BDA: 7883\nSCC to HME: 13006\nSCC to SCK: 5030\nSCC to EAS: 12253\nSCK to LYC: 9998\nSCK to BDA: 5224\nSCK to HME: 11065\nSCK to EAS: 10104\nBDA to LYC: 7559\nBDA to HME: 7766\nBDA to EAS: 7040\nEAS to LYC: 3250\nEAS to HME: 1531\nHME to LYC: 3800\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 39513,
"style": "rule"
}
|
{
"exact_answer": 39513,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MOU\", \"id\": 0}, {\"name\": \"KSF\", \"id\": 1}, {\"name\": \"YQU\", \"id\": 2}, {\"name\": \"SCC\", \"id\": 3}, {\"name\": \"SCK\", \"id\": 4}, {\"name\": \"BDA\", \"id\": 5}, {\"name\": \"EAS\", \"id\": 6}, {\"name\": \"HME\", \"id\": 7}, {\"name\": \"LYC\", \"id\": 8}], \"links\": [{\"weight\": 11551, \"source\": 0, \"target\": 8}, {\"weight\": 1733, \"source\": 0, \"target\": 3}, {\"weight\": 7606, \"source\": 0, \"target\": 5}, {\"weight\": 4334, \"source\": 0, \"target\": 2}, {\"weight\": 13000, \"source\": 0, \"target\": 7}, {\"weight\": 5007, \"source\": 0, \"target\": 4}, {\"weight\": 12247, \"source\": 0, \"target\": 6}, {\"weight\": 13475, \"source\": 0, \"target\": 1}, {\"weight\": 4432, \"source\": 1, \"target\": 8}, {\"weight\": 13481, \"source\": 1, \"target\": 3}, {\"weight\": 8263, \"source\": 1, \"target\": 5}, {\"weight\": 9934, \"source\": 1, \"target\": 2}, {\"weight\": 2353, \"source\": 1, \"target\": 7}, {\"weight\": 11697, \"source\": 1, \"target\": 4}, {\"weight\": 2006, \"source\": 1, \"target\": 6}, {\"weight\": 8010, \"source\": 2, \"target\": 8}, {\"weight\": 4340, \"source\": 2, \"target\": 3}, {\"weight\": 4900, \"source\": 2, \"target\": 5}, {\"weight\": 9459, \"source\": 2, \"target\": 7}, {\"weight\": 2806, \"source\": 2, \"target\": 4}, {\"weight\": 8706, \"source\": 2, \"target\": 6}, {\"weight\": 11557, \"source\": 3, \"target\": 8}, {\"weight\": 7883, \"source\": 3, \"target\": 5}, {\"weight\": 13006, \"source\": 3, \"target\": 7}, {\"weight\": 5030, \"source\": 3, \"target\": 4}, {\"weight\": 12253, \"source\": 3, \"target\": 6}, {\"weight\": 9998, \"source\": 4, \"target\": 8}, {\"weight\": 5224, \"source\": 4, \"target\": 5}, {\"weight\": 11065, \"source\": 4, \"target\": 7}, {\"weight\": 10104, \"source\": 4, \"target\": 6}, {\"weight\": 7559, \"source\": 5, \"target\": 8}, {\"weight\": 7766, \"source\": 5, \"target\": 7}, {\"weight\": 7040, \"source\": 5, \"target\": 6}, {\"weight\": 3250, \"source\": 6, \"target\": 8}, {\"weight\": 1531, \"source\": 6, \"target\": 7}, {\"weight\": 3800, \"source\": 7, \"target\": 8}]}",
"id": 288,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOU, KSF, YQU, SCC, SCK, BDA, EAS, HME, LYC\n- Travel distances (in kilometers) between each pair of airports:\nMOU to LYC: 11551\nMOU to SCC: 1733\nMOU to BDA: 7606\nMOU to YQU: 4334\nMOU to HME: 13000\nMOU to SCK: 5007\nMOU to EAS: 12247\nMOU to KSF: 13475\nKSF to LYC: 4432\nKSF to SCC: 13481\nKSF to BDA: 8263\nKSF to YQU: 9934\nKSF to HME: 2353\nKSF to SCK: 11697\nKSF to EAS: 2006\nYQU to LYC: 8010\nYQU to SCC: 4340\nYQU to BDA: 4900\nYQU to HME: 9459\nYQU to SCK: 2806\nYQU to EAS: 8706\nSCC to LYC: 11557\nSCC to BDA: 7883\nSCC to HME: 13006\nSCC to SCK: 5030\nSCC to EAS: 12253\nSCK to LYC: 9998\nSCK to BDA: 5224\nSCK to HME: 11065\nSCK to EAS: 10104\nBDA to LYC: 7559\nBDA to HME: 7766\nBDA to EAS: 7040\nEAS to LYC: 3250\nEAS to HME: 1531\nHME to LYC: 3800\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TMJ, YQD, FLR, UDJ, STS, VNX, HOF, JHG, LUD\n- Travel distances (in kilometers) between each pair of airports:\nTMJ to JHG: 4964\nTMJ to FLR: 5263\nTMJ to STS: 13171\nTMJ to HOF: 3256\nTMJ to YQD: 12562\nTMJ to UDJ: 4354\nTMJ to VNX: 9513\nTMJ to LUD: 9956\nYQD to JHG: 13382\nYQD to FLR: 8727\nYQD to STS: 3381\nYQD to HOF: 12762\nYQD to UDJ: 10232\nYQD to VNX: 16295\nYQD to LUD: 15017\nFLR to JHG: 8950\nFLR to STS: 9873\nFLR to HOF: 4187\nFLR to UDJ: 2348\nFLR to VNX: 9174\nFLR to LUD: 8629\nUDJ to JHG: 8285\nUDJ to STS: 10841\nUDJ to HOF: 4319\nUDJ to VNX: 9754\nUDJ to LUD: 10150\nSTS to JHG: 12178\nSTS to HOF: 13659\nSTS to VNX: 18200\nSTS to LUD: 17020\nVNX to JHG: 10826\nVNX to HOF: 6690\nVNX to LUD: 2533\nHOF to JHG: 5678\nHOF to LUD: 7097\nJHG to LUD: 11657\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54211,
"style": "rule"
}
|
{
"exact_answer": 54211,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TMJ\", \"id\": 0}, {\"name\": \"YQD\", \"id\": 1}, {\"name\": \"FLR\", \"id\": 2}, {\"name\": \"UDJ\", \"id\": 3}, {\"name\": \"STS\", \"id\": 4}, {\"name\": \"VNX\", \"id\": 5}, {\"name\": \"HOF\", \"id\": 6}, {\"name\": \"JHG\", \"id\": 7}, {\"name\": \"LUD\", \"id\": 8}], \"links\": [{\"weight\": 4964, \"source\": 0, \"target\": 7}, {\"weight\": 5263, \"source\": 0, \"target\": 2}, {\"weight\": 13171, \"source\": 0, \"target\": 4}, {\"weight\": 3256, \"source\": 0, \"target\": 6}, {\"weight\": 12562, \"source\": 0, \"target\": 1}, {\"weight\": 4354, \"source\": 0, \"target\": 3}, {\"weight\": 9513, \"source\": 0, \"target\": 5}, {\"weight\": 9956, \"source\": 0, \"target\": 8}, {\"weight\": 13382, \"source\": 1, \"target\": 7}, {\"weight\": 8727, \"source\": 1, \"target\": 2}, {\"weight\": 3381, \"source\": 1, \"target\": 4}, {\"weight\": 12762, \"source\": 1, \"target\": 6}, {\"weight\": 10232, \"source\": 1, \"target\": 3}, {\"weight\": 16295, \"source\": 1, \"target\": 5}, {\"weight\": 15017, \"source\": 1, \"target\": 8}, {\"weight\": 8950, \"source\": 2, \"target\": 7}, {\"weight\": 9873, \"source\": 2, \"target\": 4}, {\"weight\": 4187, \"source\": 2, \"target\": 6}, {\"weight\": 2348, \"source\": 2, \"target\": 3}, {\"weight\": 9174, \"source\": 2, \"target\": 5}, {\"weight\": 8629, \"source\": 2, \"target\": 8}, {\"weight\": 8285, \"source\": 3, \"target\": 7}, {\"weight\": 10841, \"source\": 3, \"target\": 4}, {\"weight\": 4319, \"source\": 3, \"target\": 6}, {\"weight\": 9754, \"source\": 3, \"target\": 5}, {\"weight\": 10150, \"source\": 3, \"target\": 8}, {\"weight\": 12178, \"source\": 4, \"target\": 7}, {\"weight\": 13659, \"source\": 4, \"target\": 6}, {\"weight\": 18200, \"source\": 4, \"target\": 5}, {\"weight\": 17020, \"source\": 4, \"target\": 8}, {\"weight\": 10826, \"source\": 5, \"target\": 7}, {\"weight\": 6690, \"source\": 5, \"target\": 6}, {\"weight\": 2533, \"source\": 5, \"target\": 8}, {\"weight\": 5678, \"source\": 6, \"target\": 7}, {\"weight\": 7097, \"source\": 6, \"target\": 8}, {\"weight\": 11657, \"source\": 7, \"target\": 8}]}",
"id": 289,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TMJ, YQD, FLR, UDJ, STS, VNX, HOF, JHG, LUD\n- Travel distances (in kilometers) between each pair of airports:\nTMJ to JHG: 4964\nTMJ to FLR: 5263\nTMJ to STS: 13171\nTMJ to HOF: 3256\nTMJ to YQD: 12562\nTMJ to UDJ: 4354\nTMJ to VNX: 9513\nTMJ to LUD: 9956\nYQD to JHG: 13382\nYQD to FLR: 8727\nYQD to STS: 3381\nYQD to HOF: 12762\nYQD to UDJ: 10232\nYQD to VNX: 16295\nYQD to LUD: 15017\nFLR to JHG: 8950\nFLR to STS: 9873\nFLR to HOF: 4187\nFLR to UDJ: 2348\nFLR to VNX: 9174\nFLR to LUD: 8629\nUDJ to JHG: 8285\nUDJ to STS: 10841\nUDJ to HOF: 4319\nUDJ to VNX: 9754\nUDJ to LUD: 10150\nSTS to JHG: 12178\nSTS to HOF: 13659\nSTS to VNX: 18200\nSTS to LUD: 17020\nVNX to JHG: 10826\nVNX to HOF: 6690\nVNX to LUD: 2533\nHOF to JHG: 5678\nHOF to LUD: 7097\nJHG to LUD: 11657\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, ROC, DNH, CAC, ROW, MGT, VNO, JBQ, LEB\n- Travel distances (in kilometers) between each pair of airports:\nERI to CAC: 8879\nERI to DNH: 12395\nERI to LEB: 973\nERI to ROC: 549\nERI to ROW: 2497\nERI to VNO: 7465\nERI to JBQ: 3110\nERI to MGT: 17146\nROC to CAC: 8811\nROC to DNH: 12097\nROC to LEB: 725\nROC to ROW: 2732\nROC to VNO: 7167\nROC to JBQ: 3042\nROC to MGT: 17015\nDNH to CAC: 16739\nDNH to LEB: 11828\nDNH to ROW: 14124\nDNH to VNO: 5242\nDNH to JBQ: 14363\nDNH to MGT: 7482\nCAC to LEB: 8686\nCAC to ROW: 9551\nCAC to VNO: 11722\nCAC to JBQ: 6192\nCAC to MGT: 17854\nROW to LEB: 3283\nROW to VNO: 9556\nROW to JBQ: 3892\nROW to MGT: 17350\nMGT to LEB: 17608\nMGT to VNO: 12681\nMGT to JBQ: 19844\nVNO to LEB: 6877\nVNO to JBQ: 9243\nJBQ to LEB: 3064\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51310,
"style": "rule"
}
|
{
"exact_answer": 51310,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERI\", \"id\": 0}, {\"name\": \"ROC\", \"id\": 1}, {\"name\": \"DNH\", \"id\": 2}, {\"name\": \"CAC\", \"id\": 3}, {\"name\": \"ROW\", \"id\": 4}, {\"name\": \"MGT\", \"id\": 5}, {\"name\": \"VNO\", \"id\": 6}, {\"name\": \"JBQ\", \"id\": 7}, {\"name\": \"LEB\", \"id\": 8}], \"links\": [{\"weight\": 8879, \"source\": 0, \"target\": 3}, {\"weight\": 12395, \"source\": 0, \"target\": 2}, {\"weight\": 973, \"source\": 0, \"target\": 8}, {\"weight\": 549, \"source\": 0, \"target\": 1}, {\"weight\": 2497, \"source\": 0, \"target\": 4}, {\"weight\": 7465, \"source\": 0, \"target\": 6}, {\"weight\": 3110, \"source\": 0, \"target\": 7}, {\"weight\": 17146, \"source\": 0, \"target\": 5}, {\"weight\": 8811, \"source\": 1, \"target\": 3}, {\"weight\": 12097, \"source\": 1, \"target\": 2}, {\"weight\": 725, \"source\": 1, \"target\": 8}, {\"weight\": 2732, \"source\": 1, \"target\": 4}, {\"weight\": 7167, \"source\": 1, \"target\": 6}, {\"weight\": 3042, \"source\": 1, \"target\": 7}, {\"weight\": 17015, \"source\": 1, \"target\": 5}, {\"weight\": 16739, \"source\": 2, \"target\": 3}, {\"weight\": 11828, \"source\": 2, \"target\": 8}, {\"weight\": 14124, \"source\": 2, \"target\": 4}, {\"weight\": 5242, \"source\": 2, \"target\": 6}, {\"weight\": 14363, \"source\": 2, \"target\": 7}, {\"weight\": 7482, \"source\": 2, \"target\": 5}, {\"weight\": 8686, \"source\": 3, \"target\": 8}, {\"weight\": 9551, \"source\": 3, \"target\": 4}, {\"weight\": 11722, \"source\": 3, \"target\": 6}, {\"weight\": 6192, \"source\": 3, \"target\": 7}, {\"weight\": 17854, \"source\": 3, \"target\": 5}, {\"weight\": 3283, \"source\": 4, \"target\": 8}, {\"weight\": 9556, \"source\": 4, \"target\": 6}, {\"weight\": 3892, \"source\": 4, \"target\": 7}, {\"weight\": 17350, \"source\": 4, \"target\": 5}, {\"weight\": 17608, \"source\": 5, \"target\": 8}, {\"weight\": 12681, \"source\": 5, \"target\": 6}, {\"weight\": 19844, \"source\": 5, \"target\": 7}, {\"weight\": 6877, \"source\": 6, \"target\": 8}, {\"weight\": 9243, \"source\": 6, \"target\": 7}, {\"weight\": 3064, \"source\": 7, \"target\": 8}]}",
"id": 290,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, ROC, DNH, CAC, ROW, MGT, VNO, JBQ, LEB\n- Travel distances (in kilometers) between each pair of airports:\nERI to CAC: 8879\nERI to DNH: 12395\nERI to LEB: 973\nERI to ROC: 549\nERI to ROW: 2497\nERI to VNO: 7465\nERI to JBQ: 3110\nERI to MGT: 17146\nROC to CAC: 8811\nROC to DNH: 12097\nROC to LEB: 725\nROC to ROW: 2732\nROC to VNO: 7167\nROC to JBQ: 3042\nROC to MGT: 17015\nDNH to CAC: 16739\nDNH to LEB: 11828\nDNH to ROW: 14124\nDNH to VNO: 5242\nDNH to JBQ: 14363\nDNH to MGT: 7482\nCAC to LEB: 8686\nCAC to ROW: 9551\nCAC to VNO: 11722\nCAC to JBQ: 6192\nCAC to MGT: 17854\nROW to LEB: 3283\nROW to VNO: 9556\nROW to JBQ: 3892\nROW to MGT: 17350\nMGT to LEB: 17608\nMGT to VNO: 12681\nMGT to JBQ: 19844\nVNO to LEB: 6877\nVNO to JBQ: 9243\nJBQ to LEB: 3064\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRS, TWB, TAC, AYT, CDV, WRO, KSJ, SJE, DRS\n- Travel distances (in kilometers) between each pair of airports:\nLRS to DRS: 2027\nLRS to AYT: 903\nLRS to WRO: 2169\nLRS to TAC: 10537\nLRS to CDV: 12396\nLRS to SJE: 10959\nLRS to KSJ: 306\nLRS to TWB: 15483\nTWB to DRS: 15844\nTWB to AYT: 14705\nTWB to WRO: 15646\nTWB to TAC: 5742\nTWB to CDV: 12401\nTWB to SJE: 16592\nTWB to KSJ: 15645\nTAC to DRS: 10488\nTAC to AYT: 9743\nTAC to WRO: 10291\nTAC to CDV: 13206\nTAC to SJE: 17973\nTAC to KSJ: 10693\nAYT to DRS: 2077\nAYT to WRO: 2168\nAYT to CDV: 12546\nAYT to SJE: 11332\nAYT to KSJ: 1059\nCDV to DRS: 10625\nCDV to WRO: 10647\nCDV to SJE: 9005\nCDV to KSJ: 12548\nWRO to DRS: 817\nWRO to SJE: 9963\nWRO to KSJ: 2325\nKSJ to DRS: 2152\nKSJ to SJE: 11115\nSJE to DRS: 9746\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50988,
"style": "rule"
}
|
{
"exact_answer": 50988,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LRS\", \"id\": 0}, {\"name\": \"TWB\", \"id\": 1}, {\"name\": \"TAC\", \"id\": 2}, {\"name\": \"AYT\", \"id\": 3}, {\"name\": \"CDV\", \"id\": 4}, {\"name\": \"WRO\", \"id\": 5}, {\"name\": \"KSJ\", \"id\": 6}, {\"name\": \"SJE\", \"id\": 7}, {\"name\": \"DRS\", \"id\": 8}], \"links\": [{\"weight\": 2027, \"source\": 0, \"target\": 8}, {\"weight\": 903, \"source\": 0, \"target\": 3}, {\"weight\": 2169, \"source\": 0, \"target\": 5}, {\"weight\": 10537, \"source\": 0, \"target\": 2}, {\"weight\": 12396, \"source\": 0, \"target\": 4}, {\"weight\": 10959, \"source\": 0, \"target\": 7}, {\"weight\": 306, \"source\": 0, \"target\": 6}, {\"weight\": 15483, \"source\": 0, \"target\": 1}, {\"weight\": 15844, \"source\": 1, \"target\": 8}, {\"weight\": 14705, \"source\": 1, \"target\": 3}, {\"weight\": 15646, \"source\": 1, \"target\": 5}, {\"weight\": 5742, \"source\": 1, \"target\": 2}, {\"weight\": 12401, \"source\": 1, \"target\": 4}, {\"weight\": 16592, \"source\": 1, \"target\": 7}, {\"weight\": 15645, \"source\": 1, \"target\": 6}, {\"weight\": 10488, \"source\": 2, \"target\": 8}, {\"weight\": 9743, \"source\": 2, \"target\": 3}, {\"weight\": 10291, \"source\": 2, \"target\": 5}, {\"weight\": 13206, \"source\": 2, \"target\": 4}, {\"weight\": 17973, \"source\": 2, \"target\": 7}, {\"weight\": 10693, \"source\": 2, \"target\": 6}, {\"weight\": 2077, \"source\": 3, \"target\": 8}, {\"weight\": 2168, \"source\": 3, \"target\": 5}, {\"weight\": 12546, \"source\": 3, \"target\": 4}, {\"weight\": 11332, \"source\": 3, \"target\": 7}, {\"weight\": 1059, \"source\": 3, \"target\": 6}, {\"weight\": 10625, \"source\": 4, \"target\": 8}, {\"weight\": 10647, \"source\": 4, \"target\": 5}, {\"weight\": 9005, \"source\": 4, \"target\": 7}, {\"weight\": 12548, \"source\": 4, \"target\": 6}, {\"weight\": 817, \"source\": 5, \"target\": 8}, {\"weight\": 9963, \"source\": 5, \"target\": 7}, {\"weight\": 2325, \"source\": 5, \"target\": 6}, {\"weight\": 2152, \"source\": 6, \"target\": 8}, {\"weight\": 11115, \"source\": 6, \"target\": 7}, {\"weight\": 9746, \"source\": 7, \"target\": 8}]}",
"id": 291,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRS, TWB, TAC, AYT, CDV, WRO, KSJ, SJE, DRS\n- Travel distances (in kilometers) between each pair of airports:\nLRS to DRS: 2027\nLRS to AYT: 903\nLRS to WRO: 2169\nLRS to TAC: 10537\nLRS to CDV: 12396\nLRS to SJE: 10959\nLRS to KSJ: 306\nLRS to TWB: 15483\nTWB to DRS: 15844\nTWB to AYT: 14705\nTWB to WRO: 15646\nTWB to TAC: 5742\nTWB to CDV: 12401\nTWB to SJE: 16592\nTWB to KSJ: 15645\nTAC to DRS: 10488\nTAC to AYT: 9743\nTAC to WRO: 10291\nTAC to CDV: 13206\nTAC to SJE: 17973\nTAC to KSJ: 10693\nAYT to DRS: 2077\nAYT to WRO: 2168\nAYT to CDV: 12546\nAYT to SJE: 11332\nAYT to KSJ: 1059\nCDV to DRS: 10625\nCDV to WRO: 10647\nCDV to SJE: 9005\nCDV to KSJ: 12548\nWRO to DRS: 817\nWRO to SJE: 9963\nWRO to KSJ: 2325\nKSJ to DRS: 2152\nKSJ to SJE: 11115\nSJE to DRS: 9746\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NTQ, HMI, PAS, BAV, IXM, PMI, ATD, RGN, YHR\n- Travel distances (in kilometers) between each pair of airports:\nNTQ to RGN: 5089\nNTQ to PMI: 10890\nNTQ to BAV: 2969\nNTQ to IXM: 7317\nNTQ to PAS: 10150\nNTQ to HMI: 4336\nNTQ to ATD: 7543\nNTQ to YHR: 12794\nHMI to RGN: 3933\nHMI to PMI: 7361\nHMI to BAV: 2292\nHMI to IXM: 4974\nHMI to PAS: 5928\nHMI to ATD: 9635\nHMI to YHR: 11237\nPAS to RGN: 7484\nPAS to PMI: 2071\nPAS to BAV: 7298\nPAS to IXM: 6763\nPAS to ATD: 15297\nPAS to YHR: 7059\nBAV to RGN: 2998\nBAV to PMI: 8731\nBAV to IXM: 5146\nBAV to ATD: 8547\nBAV to YHR: 12607\nIXM to RGN: 2828\nIXM to PMI: 8503\nIXM to ATD: 9566\nIXM to YHR: 13072\nPMI to RGN: 9126\nPMI to ATD: 16762\nPMI to YHR: 5835\nATD to RGN: 8249\nATD to YHR: 16315\nRGN to YHR: 13476\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49787,
"style": "rule"
}
|
{
"exact_answer": 49787,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NTQ\", \"id\": 0}, {\"name\": \"HMI\", \"id\": 1}, {\"name\": \"PAS\", \"id\": 2}, {\"name\": \"BAV\", \"id\": 3}, {\"name\": \"IXM\", \"id\": 4}, {\"name\": \"PMI\", \"id\": 5}, {\"name\": \"ATD\", \"id\": 6}, {\"name\": \"RGN\", \"id\": 7}, {\"name\": \"YHR\", \"id\": 8}], \"links\": [{\"weight\": 5089, \"source\": 0, \"target\": 7}, {\"weight\": 10890, \"source\": 0, \"target\": 5}, {\"weight\": 2969, \"source\": 0, \"target\": 3}, {\"weight\": 7317, \"source\": 0, \"target\": 4}, {\"weight\": 10150, \"source\": 0, \"target\": 2}, {\"weight\": 4336, \"source\": 0, \"target\": 1}, {\"weight\": 7543, \"source\": 0, \"target\": 6}, {\"weight\": 12794, \"source\": 0, \"target\": 8}, {\"weight\": 3933, \"source\": 1, \"target\": 7}, {\"weight\": 7361, \"source\": 1, \"target\": 5}, {\"weight\": 2292, \"source\": 1, \"target\": 3}, {\"weight\": 4974, \"source\": 1, \"target\": 4}, {\"weight\": 5928, \"source\": 1, \"target\": 2}, {\"weight\": 9635, \"source\": 1, \"target\": 6}, {\"weight\": 11237, \"source\": 1, \"target\": 8}, {\"weight\": 7484, \"source\": 2, \"target\": 7}, {\"weight\": 2071, \"source\": 2, \"target\": 5}, {\"weight\": 7298, \"source\": 2, \"target\": 3}, {\"weight\": 6763, \"source\": 2, \"target\": 4}, {\"weight\": 15297, \"source\": 2, \"target\": 6}, {\"weight\": 7059, \"source\": 2, \"target\": 8}, {\"weight\": 2998, \"source\": 3, \"target\": 7}, {\"weight\": 8731, \"source\": 3, \"target\": 5}, {\"weight\": 5146, \"source\": 3, \"target\": 4}, {\"weight\": 8547, \"source\": 3, \"target\": 6}, {\"weight\": 12607, \"source\": 3, \"target\": 8}, {\"weight\": 2828, \"source\": 4, \"target\": 7}, {\"weight\": 8503, \"source\": 4, \"target\": 5}, {\"weight\": 9566, \"source\": 4, \"target\": 6}, {\"weight\": 13072, \"source\": 4, \"target\": 8}, {\"weight\": 9126, \"source\": 5, \"target\": 7}, {\"weight\": 16762, \"source\": 5, \"target\": 6}, {\"weight\": 5835, \"source\": 5, \"target\": 8}, {\"weight\": 8249, \"source\": 6, \"target\": 7}, {\"weight\": 16315, \"source\": 6, \"target\": 8}, {\"weight\": 13476, \"source\": 7, \"target\": 8}]}",
"id": 292,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NTQ, HMI, PAS, BAV, IXM, PMI, ATD, RGN, YHR\n- Travel distances (in kilometers) between each pair of airports:\nNTQ to RGN: 5089\nNTQ to PMI: 10890\nNTQ to BAV: 2969\nNTQ to IXM: 7317\nNTQ to PAS: 10150\nNTQ to HMI: 4336\nNTQ to ATD: 7543\nNTQ to YHR: 12794\nHMI to RGN: 3933\nHMI to PMI: 7361\nHMI to BAV: 2292\nHMI to IXM: 4974\nHMI to PAS: 5928\nHMI to ATD: 9635\nHMI to YHR: 11237\nPAS to RGN: 7484\nPAS to PMI: 2071\nPAS to BAV: 7298\nPAS to IXM: 6763\nPAS to ATD: 15297\nPAS to YHR: 7059\nBAV to RGN: 2998\nBAV to PMI: 8731\nBAV to IXM: 5146\nBAV to ATD: 8547\nBAV to YHR: 12607\nIXM to RGN: 2828\nIXM to PMI: 8503\nIXM to ATD: 9566\nIXM to YHR: 13072\nPMI to RGN: 9126\nPMI to ATD: 16762\nPMI to YHR: 5835\nATD to RGN: 8249\nATD to YHR: 16315\nRGN to YHR: 13476\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WJR, BAL, MEL, LDU, CEZ, PEG, KKI, TME, MST\n- Travel distances (in kilometers) between each pair of airports:\nWJR to MEL: 12171\nWJR to KKI: 17726\nWJR to TME: 14308\nWJR to MST: 6897\nWJR to PEG: 6160\nWJR to LDU: 9727\nWJR to BAL: 5307\nWJR to CEZ: 15087\nBAL to MEL: 15041\nBAL to KKI: 14052\nBAL to TME: 12176\nBAL to MST: 3492\nBAL to PEG: 2649\nBAL to LDU: 10181\nBAL to CEZ: 11416\nMEL to KKI: 14020\nMEL to TME: 16621\nMEL to MST: 16850\nMEL to PEG: 16138\nMEL to LDU: 6094\nMEL to CEZ: 14588\nLDU to KKI: 15032\nLDU to TME: 18993\nLDU to MST: 11840\nLDU to PEG: 11329\nLDU to CEZ: 14151\nCEZ to KKI: 4981\nCEZ to TME: 5738\nCEZ to MST: 8822\nCEZ to PEG: 9378\nPEG to KKI: 12014\nPEG to TME: 9957\nPEG to MST: 2115\nKKI to TME: 9827\nKKI to MST: 11504\nTME to MST: 9496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60127,
"style": "rule"
}
|
{
"exact_answer": 60127,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WJR\", \"id\": 0}, {\"name\": \"BAL\", \"id\": 1}, {\"name\": \"MEL\", \"id\": 2}, {\"name\": \"LDU\", \"id\": 3}, {\"name\": \"CEZ\", \"id\": 4}, {\"name\": \"PEG\", \"id\": 5}, {\"name\": \"KKI\", \"id\": 6}, {\"name\": \"TME\", \"id\": 7}, {\"name\": \"MST\", \"id\": 8}], \"links\": [{\"weight\": 12171, \"source\": 0, \"target\": 2}, {\"weight\": 17726, \"source\": 0, \"target\": 6}, {\"weight\": 14308, \"source\": 0, \"target\": 7}, {\"weight\": 6897, \"source\": 0, \"target\": 8}, {\"weight\": 6160, \"source\": 0, \"target\": 5}, {\"weight\": 9727, \"source\": 0, \"target\": 3}, {\"weight\": 5307, \"source\": 0, \"target\": 1}, {\"weight\": 15087, \"source\": 0, \"target\": 4}, {\"weight\": 15041, \"source\": 1, \"target\": 2}, {\"weight\": 14052, \"source\": 1, \"target\": 6}, {\"weight\": 12176, \"source\": 1, \"target\": 7}, {\"weight\": 3492, \"source\": 1, \"target\": 8}, {\"weight\": 2649, \"source\": 1, \"target\": 5}, {\"weight\": 10181, \"source\": 1, \"target\": 3}, {\"weight\": 11416, \"source\": 1, \"target\": 4}, {\"weight\": 14020, \"source\": 2, \"target\": 6}, {\"weight\": 16621, \"source\": 2, \"target\": 7}, {\"weight\": 16850, \"source\": 2, \"target\": 8}, {\"weight\": 16138, \"source\": 2, \"target\": 5}, {\"weight\": 6094, \"source\": 2, \"target\": 3}, {\"weight\": 14588, \"source\": 2, \"target\": 4}, {\"weight\": 15032, \"source\": 3, \"target\": 6}, {\"weight\": 18993, \"source\": 3, \"target\": 7}, {\"weight\": 11840, \"source\": 3, \"target\": 8}, {\"weight\": 11329, \"source\": 3, \"target\": 5}, {\"weight\": 14151, \"source\": 3, \"target\": 4}, {\"weight\": 4981, \"source\": 4, \"target\": 6}, {\"weight\": 5738, \"source\": 4, \"target\": 7}, {\"weight\": 8822, \"source\": 4, \"target\": 8}, {\"weight\": 9378, \"source\": 4, \"target\": 5}, {\"weight\": 12014, \"source\": 5, \"target\": 6}, {\"weight\": 9957, \"source\": 5, \"target\": 7}, {\"weight\": 2115, \"source\": 5, \"target\": 8}, {\"weight\": 9827, \"source\": 6, \"target\": 7}, {\"weight\": 11504, \"source\": 6, \"target\": 8}, {\"weight\": 9496, \"source\": 7, \"target\": 8}]}",
"id": 293,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WJR, BAL, MEL, LDU, CEZ, PEG, KKI, TME, MST\n- Travel distances (in kilometers) between each pair of airports:\nWJR to MEL: 12171\nWJR to KKI: 17726\nWJR to TME: 14308\nWJR to MST: 6897\nWJR to PEG: 6160\nWJR to LDU: 9727\nWJR to BAL: 5307\nWJR to CEZ: 15087\nBAL to MEL: 15041\nBAL to KKI: 14052\nBAL to TME: 12176\nBAL to MST: 3492\nBAL to PEG: 2649\nBAL to LDU: 10181\nBAL to CEZ: 11416\nMEL to KKI: 14020\nMEL to TME: 16621\nMEL to MST: 16850\nMEL to PEG: 16138\nMEL to LDU: 6094\nMEL to CEZ: 14588\nLDU to KKI: 15032\nLDU to TME: 18993\nLDU to MST: 11840\nLDU to PEG: 11329\nLDU to CEZ: 14151\nCEZ to KKI: 4981\nCEZ to TME: 5738\nCEZ to MST: 8822\nCEZ to PEG: 9378\nPEG to KKI: 12014\nPEG to TME: 9957\nPEG to MST: 2115\nKKI to TME: 9827\nKKI to MST: 11504\nTME to MST: 9496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIS, KKR, SBW, COR, DND, NLA, LGK, GAJ, EVN\n- Travel distances (in kilometers) between each pair of airports:\nPIS to EVN: 3663\nPIS to COR: 11070\nPIS to LGK: 10802\nPIS to SBW: 11842\nPIS to DND: 1139\nPIS to NLA: 8268\nPIS to GAJ: 10605\nPIS to KKR: 16442\nKKR to EVN: 17886\nKKR to COR: 9017\nKKR to LGK: 13310\nKKR to SBW: 12582\nKKR to DND: 16475\nKKR to NLA: 18970\nKKR to GAJ: 10745\nSBW to EVN: 8270\nSBW to COR: 18275\nSBW to LGK: 1495\nSBW to DND: 12241\nSBW to NLA: 10297\nSBW to GAJ: 5006\nCOR to EVN: 13862\nCOR to LGK: 18357\nCOR to DND: 12046\nCOR to NLA: 10551\nCOR to GAJ: 18374\nDND to EVN: 4136\nDND to LGK: 10979\nDND to NLA: 8981\nDND to GAJ: 10704\nNLA to EVN: 6527\nNLA to LGK: 9607\nNLA to GAJ: 13121\nLGK to EVN: 7350\nLGK to GAJ: 5599\nGAJ to EVN: 8454\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57707,
"style": "rule"
}
|
{
"exact_answer": 57707,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PIS\", \"id\": 0}, {\"name\": \"KKR\", \"id\": 1}, {\"name\": \"SBW\", \"id\": 2}, {\"name\": \"COR\", \"id\": 3}, {\"name\": \"DND\", \"id\": 4}, {\"name\": \"NLA\", \"id\": 5}, {\"name\": \"LGK\", \"id\": 6}, {\"name\": \"GAJ\", \"id\": 7}, {\"name\": \"EVN\", \"id\": 8}], \"links\": [{\"weight\": 3663, \"source\": 0, \"target\": 8}, {\"weight\": 11070, \"source\": 0, \"target\": 3}, {\"weight\": 10802, \"source\": 0, \"target\": 6}, {\"weight\": 11842, \"source\": 0, \"target\": 2}, {\"weight\": 1139, \"source\": 0, \"target\": 4}, {\"weight\": 8268, \"source\": 0, \"target\": 5}, {\"weight\": 10605, \"source\": 0, \"target\": 7}, {\"weight\": 16442, \"source\": 0, \"target\": 1}, {\"weight\": 17886, \"source\": 1, \"target\": 8}, {\"weight\": 9017, \"source\": 1, \"target\": 3}, {\"weight\": 13310, \"source\": 1, \"target\": 6}, {\"weight\": 12582, \"source\": 1, \"target\": 2}, {\"weight\": 16475, \"source\": 1, \"target\": 4}, {\"weight\": 18970, \"source\": 1, \"target\": 5}, {\"weight\": 10745, \"source\": 1, \"target\": 7}, {\"weight\": 8270, \"source\": 2, \"target\": 8}, {\"weight\": 18275, \"source\": 2, \"target\": 3}, {\"weight\": 1495, \"source\": 2, \"target\": 6}, {\"weight\": 12241, \"source\": 2, \"target\": 4}, {\"weight\": 10297, \"source\": 2, \"target\": 5}, {\"weight\": 5006, \"source\": 2, \"target\": 7}, {\"weight\": 13862, \"source\": 3, \"target\": 8}, {\"weight\": 18357, \"source\": 3, \"target\": 6}, {\"weight\": 12046, \"source\": 3, \"target\": 4}, {\"weight\": 10551, \"source\": 3, \"target\": 5}, {\"weight\": 18374, \"source\": 3, \"target\": 7}, {\"weight\": 4136, \"source\": 4, \"target\": 8}, {\"weight\": 10979, \"source\": 4, \"target\": 6}, {\"weight\": 8981, \"source\": 4, \"target\": 5}, {\"weight\": 10704, \"source\": 4, \"target\": 7}, {\"weight\": 6527, \"source\": 5, \"target\": 8}, {\"weight\": 9607, \"source\": 5, \"target\": 6}, {\"weight\": 13121, \"source\": 5, \"target\": 7}, {\"weight\": 7350, \"source\": 6, \"target\": 8}, {\"weight\": 5599, \"source\": 6, \"target\": 7}, {\"weight\": 8454, \"source\": 7, \"target\": 8}]}",
"id": 294,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIS, KKR, SBW, COR, DND, NLA, LGK, GAJ, EVN\n- Travel distances (in kilometers) between each pair of airports:\nPIS to EVN: 3663\nPIS to COR: 11070\nPIS to LGK: 10802\nPIS to SBW: 11842\nPIS to DND: 1139\nPIS to NLA: 8268\nPIS to GAJ: 10605\nPIS to KKR: 16442\nKKR to EVN: 17886\nKKR to COR: 9017\nKKR to LGK: 13310\nKKR to SBW: 12582\nKKR to DND: 16475\nKKR to NLA: 18970\nKKR to GAJ: 10745\nSBW to EVN: 8270\nSBW to COR: 18275\nSBW to LGK: 1495\nSBW to DND: 12241\nSBW to NLA: 10297\nSBW to GAJ: 5006\nCOR to EVN: 13862\nCOR to LGK: 18357\nCOR to DND: 12046\nCOR to NLA: 10551\nCOR to GAJ: 18374\nDND to EVN: 4136\nDND to LGK: 10979\nDND to NLA: 8981\nDND to GAJ: 10704\nNLA to EVN: 6527\nNLA to LGK: 9607\nNLA to GAJ: 13121\nLGK to EVN: 7350\nLGK to GAJ: 5599\nGAJ to EVN: 8454\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BXR, VAK, MGS, ACC, CEZ, LTD, ACE, HOE, ATW\n- Travel distances (in kilometers) between each pair of airports:\nBXR to ACC: 7538\nBXR to VAK: 16155\nBXR to ACE: 7224\nBXR to ATW: 12048\nBXR to MGS: 19241\nBXR to LTD: 5157\nBXR to HOE: 7192\nBXR to CEZ: 13334\nVAK to ACC: 14771\nVAK to ACE: 12236\nVAK to ATW: 5277\nVAK to MGS: 11097\nVAK to LTD: 13678\nVAK to HOE: 14992\nVAK to CEZ: 5166\nMGS to ACC: 18264\nMGS to ACE: 17486\nMGS to ATW: 10549\nMGS to LTD: 19283\nMGS to HOE: 13300\nMGS to CEZ: 9575\nACC to ACE: 3698\nACC to ATW: 9513\nACC to LTD: 4696\nACC to HOE: 11853\nACC to CEZ: 11276\nCEZ to ACE: 8805\nCEZ to ATW: 1915\nCEZ to LTD: 10737\nCEZ to HOE: 13858\nLTD to ACE: 3527\nLTD to ATW: 9043\nLTD to HOE: 10103\nACE to ATW: 7068\nACE to HOE: 12318\nHOE to ATW: 13951\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59289,
"style": "rule"
}
|
{
"exact_answer": 59289,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BXR\", \"id\": 0}, {\"name\": \"VAK\", \"id\": 1}, {\"name\": \"MGS\", \"id\": 2}, {\"name\": \"ACC\", \"id\": 3}, {\"name\": \"CEZ\", \"id\": 4}, {\"name\": \"LTD\", \"id\": 5}, {\"name\": \"ACE\", \"id\": 6}, {\"name\": \"HOE\", \"id\": 7}, {\"name\": \"ATW\", \"id\": 8}], \"links\": [{\"weight\": 7538, \"source\": 0, \"target\": 3}, {\"weight\": 16155, \"source\": 0, \"target\": 1}, {\"weight\": 7224, \"source\": 0, \"target\": 6}, {\"weight\": 12048, \"source\": 0, \"target\": 8}, {\"weight\": 19241, \"source\": 0, \"target\": 2}, {\"weight\": 5157, \"source\": 0, \"target\": 5}, {\"weight\": 7192, \"source\": 0, \"target\": 7}, {\"weight\": 13334, \"source\": 0, \"target\": 4}, {\"weight\": 14771, \"source\": 1, \"target\": 3}, {\"weight\": 12236, \"source\": 1, \"target\": 6}, {\"weight\": 5277, \"source\": 1, \"target\": 8}, {\"weight\": 11097, \"source\": 1, \"target\": 2}, {\"weight\": 13678, \"source\": 1, \"target\": 5}, {\"weight\": 14992, \"source\": 1, \"target\": 7}, {\"weight\": 5166, \"source\": 1, \"target\": 4}, {\"weight\": 18264, \"source\": 2, \"target\": 3}, {\"weight\": 17486, \"source\": 2, \"target\": 6}, {\"weight\": 10549, \"source\": 2, \"target\": 8}, {\"weight\": 19283, \"source\": 2, \"target\": 5}, {\"weight\": 13300, \"source\": 2, \"target\": 7}, {\"weight\": 9575, \"source\": 2, \"target\": 4}, {\"weight\": 3698, \"source\": 3, \"target\": 6}, {\"weight\": 9513, \"source\": 3, \"target\": 8}, {\"weight\": 4696, \"source\": 3, \"target\": 5}, {\"weight\": 11853, \"source\": 3, \"target\": 7}, {\"weight\": 11276, \"source\": 3, \"target\": 4}, {\"weight\": 8805, \"source\": 4, \"target\": 6}, {\"weight\": 1915, \"source\": 4, \"target\": 8}, {\"weight\": 10737, \"source\": 4, \"target\": 5}, {\"weight\": 13858, \"source\": 4, \"target\": 7}, {\"weight\": 3527, \"source\": 5, \"target\": 6}, {\"weight\": 9043, \"source\": 5, \"target\": 8}, {\"weight\": 10103, \"source\": 5, \"target\": 7}, {\"weight\": 7068, \"source\": 6, \"target\": 8}, {\"weight\": 12318, \"source\": 6, \"target\": 7}, {\"weight\": 13951, \"source\": 7, \"target\": 8}]}",
"id": 295,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BXR, VAK, MGS, ACC, CEZ, LTD, ACE, HOE, ATW\n- Travel distances (in kilometers) between each pair of airports:\nBXR to ACC: 7538\nBXR to VAK: 16155\nBXR to ACE: 7224\nBXR to ATW: 12048\nBXR to MGS: 19241\nBXR to LTD: 5157\nBXR to HOE: 7192\nBXR to CEZ: 13334\nVAK to ACC: 14771\nVAK to ACE: 12236\nVAK to ATW: 5277\nVAK to MGS: 11097\nVAK to LTD: 13678\nVAK to HOE: 14992\nVAK to CEZ: 5166\nMGS to ACC: 18264\nMGS to ACE: 17486\nMGS to ATW: 10549\nMGS to LTD: 19283\nMGS to HOE: 13300\nMGS to CEZ: 9575\nACC to ACE: 3698\nACC to ATW: 9513\nACC to LTD: 4696\nACC to HOE: 11853\nACC to CEZ: 11276\nCEZ to ACE: 8805\nCEZ to ATW: 1915\nCEZ to LTD: 10737\nCEZ to HOE: 13858\nLTD to ACE: 3527\nLTD to ATW: 9043\nLTD to HOE: 10103\nACE to ATW: 7068\nACE to HOE: 12318\nHOE to ATW: 13951\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZE, GOJ, AJF, PHO, IBA, EDR, SIC, DSA, DLC\n- Travel distances (in kilometers) between each pair of airports:\nCZE to DLC: 15129\nCZE to PHO: 10043\nCZE to SIC: 2831\nCZE to DSA: 8653\nCZE to GOJ: 10774\nCZE to EDR: 18979\nCZE to AJF: 12571\nCZE to IBA: 10453\nGOJ to DLC: 5848\nGOJ to PHO: 12968\nGOJ to SIC: 12018\nGOJ to DSA: 2885\nGOJ to EDR: 12939\nGOJ to AJF: 4664\nGOJ to IBA: 6651\nAJF to DLC: 7904\nAJF to PHO: 16658\nAJF to SIC: 14540\nAJF to DSA: 6014\nAJF to EDR: 13026\nAJF to IBA: 5000\nPHO to DLC: 12279\nPHO to SIC: 9490\nPHO to DSA: 11798\nPHO to EDR: 15032\nPHO to IBA: 15932\nIBA to DLC: 11812\nIBA to SIC: 12674\nIBA to DSA: 5626\nIBA to EDR: 16963\nEDR to DLC: 7534\nEDR to SIC: 18420\nEDR to DSA: 15688\nSIC to DLC: 14930\nSIC to DSA: 10216\nDSA to DLC: 8726\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64678,
"style": "rule"
}
|
{
"exact_answer": 64678,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZE\", \"id\": 0}, {\"name\": \"GOJ\", \"id\": 1}, {\"name\": \"AJF\", \"id\": 2}, {\"name\": \"PHO\", \"id\": 3}, {\"name\": \"IBA\", \"id\": 4}, {\"name\": \"EDR\", \"id\": 5}, {\"name\": \"SIC\", \"id\": 6}, {\"name\": \"DSA\", \"id\": 7}, {\"name\": \"DLC\", \"id\": 8}], \"links\": [{\"weight\": 15129, \"source\": 0, \"target\": 8}, {\"weight\": 10043, \"source\": 0, \"target\": 3}, {\"weight\": 2831, \"source\": 0, \"target\": 6}, {\"weight\": 8653, \"source\": 0, \"target\": 7}, {\"weight\": 10774, \"source\": 0, \"target\": 1}, {\"weight\": 18979, \"source\": 0, \"target\": 5}, {\"weight\": 12571, \"source\": 0, \"target\": 2}, {\"weight\": 10453, \"source\": 0, \"target\": 4}, {\"weight\": 5848, \"source\": 1, \"target\": 8}, {\"weight\": 12968, \"source\": 1, \"target\": 3}, {\"weight\": 12018, \"source\": 1, \"target\": 6}, {\"weight\": 2885, \"source\": 1, \"target\": 7}, {\"weight\": 12939, \"source\": 1, \"target\": 5}, {\"weight\": 4664, \"source\": 1, \"target\": 2}, {\"weight\": 6651, \"source\": 1, \"target\": 4}, {\"weight\": 7904, \"source\": 2, \"target\": 8}, {\"weight\": 16658, \"source\": 2, \"target\": 3}, {\"weight\": 14540, \"source\": 2, \"target\": 6}, {\"weight\": 6014, \"source\": 2, \"target\": 7}, {\"weight\": 13026, \"source\": 2, \"target\": 5}, {\"weight\": 5000, \"source\": 2, \"target\": 4}, {\"weight\": 12279, \"source\": 3, \"target\": 8}, {\"weight\": 9490, \"source\": 3, \"target\": 6}, {\"weight\": 11798, \"source\": 3, \"target\": 7}, {\"weight\": 15032, \"source\": 3, \"target\": 5}, {\"weight\": 15932, \"source\": 3, \"target\": 4}, {\"weight\": 11812, \"source\": 4, \"target\": 8}, {\"weight\": 12674, \"source\": 4, \"target\": 6}, {\"weight\": 5626, \"source\": 4, \"target\": 7}, {\"weight\": 16963, \"source\": 4, \"target\": 5}, {\"weight\": 7534, \"source\": 5, \"target\": 8}, {\"weight\": 18420, \"source\": 5, \"target\": 6}, {\"weight\": 15688, \"source\": 5, \"target\": 7}, {\"weight\": 14930, \"source\": 6, \"target\": 8}, {\"weight\": 10216, \"source\": 6, \"target\": 7}, {\"weight\": 8726, \"source\": 7, \"target\": 8}]}",
"id": 296,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZE, GOJ, AJF, PHO, IBA, EDR, SIC, DSA, DLC\n- Travel distances (in kilometers) between each pair of airports:\nCZE to DLC: 15129\nCZE to PHO: 10043\nCZE to SIC: 2831\nCZE to DSA: 8653\nCZE to GOJ: 10774\nCZE to EDR: 18979\nCZE to AJF: 12571\nCZE to IBA: 10453\nGOJ to DLC: 5848\nGOJ to PHO: 12968\nGOJ to SIC: 12018\nGOJ to DSA: 2885\nGOJ to EDR: 12939\nGOJ to AJF: 4664\nGOJ to IBA: 6651\nAJF to DLC: 7904\nAJF to PHO: 16658\nAJF to SIC: 14540\nAJF to DSA: 6014\nAJF to EDR: 13026\nAJF to IBA: 5000\nPHO to DLC: 12279\nPHO to SIC: 9490\nPHO to DSA: 11798\nPHO to EDR: 15032\nPHO to IBA: 15932\nIBA to DLC: 11812\nIBA to SIC: 12674\nIBA to DSA: 5626\nIBA to EDR: 16963\nEDR to DLC: 7534\nEDR to SIC: 18420\nEDR to DSA: 15688\nSIC to DLC: 14930\nSIC to DSA: 10216\nDSA to DLC: 8726\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FDF, TMJ, EAE, PAS, MOD, CGP, SOY, YWL, STL\n- Travel distances (in kilometers) between each pair of airports:\nFDF to STL: 3952\nFDF to CGP: 15086\nFDF to YWL: 7173\nFDF to PAS: 9101\nFDF to TMJ: 12333\nFDF to SOY: 7584\nFDF to EAE: 16047\nFDF to MOD: 6640\nTMJ to STL: 11586\nTMJ to CGP: 3703\nTMJ to YWL: 12437\nTMJ to PAS: 4503\nTMJ to SOY: 5659\nTMJ to EAE: 13082\nTMJ to MOD: 13283\nEAE to STL: 12480\nEAE to CGP: 10211\nEAE to YWL: 10833\nEAE to PAS: 16525\nEAE to SOY: 17222\nEAE to MOD: 10120\nPAS to STL: 9320\nPAS to CGP: 6798\nPAS to YWL: 10344\nPAS to SOY: 3251\nPAS to MOD: 11216\nMOD to STL: 2910\nMOD to CGP: 13216\nMOD to YWL: 1754\nMOD to SOY: 8620\nCGP to STL: 14088\nCGP to YWL: 12430\nCGP to SOY: 8634\nSOY to STL: 6714\nSOY to YWL: 7799\nYWL to STL: 3289\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48367,
"style": "rule"
}
|
{
"exact_answer": 48367,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FDF\", \"id\": 0}, {\"name\": \"TMJ\", \"id\": 1}, {\"name\": \"EAE\", \"id\": 2}, {\"name\": \"PAS\", \"id\": 3}, {\"name\": \"MOD\", \"id\": 4}, {\"name\": \"CGP\", \"id\": 5}, {\"name\": \"SOY\", \"id\": 6}, {\"name\": \"YWL\", \"id\": 7}, {\"name\": \"STL\", \"id\": 8}], \"links\": [{\"weight\": 3952, \"source\": 0, \"target\": 8}, {\"weight\": 15086, \"source\": 0, \"target\": 5}, {\"weight\": 7173, \"source\": 0, \"target\": 7}, {\"weight\": 9101, \"source\": 0, \"target\": 3}, {\"weight\": 12333, \"source\": 0, \"target\": 1}, {\"weight\": 7584, \"source\": 0, \"target\": 6}, {\"weight\": 16047, \"source\": 0, \"target\": 2}, {\"weight\": 6640, \"source\": 0, \"target\": 4}, {\"weight\": 11586, \"source\": 1, \"target\": 8}, {\"weight\": 3703, \"source\": 1, \"target\": 5}, {\"weight\": 12437, \"source\": 1, \"target\": 7}, {\"weight\": 4503, \"source\": 1, \"target\": 3}, {\"weight\": 5659, \"source\": 1, \"target\": 6}, {\"weight\": 13082, \"source\": 1, \"target\": 2}, {\"weight\": 13283, \"source\": 1, \"target\": 4}, {\"weight\": 12480, \"source\": 2, \"target\": 8}, {\"weight\": 10211, \"source\": 2, \"target\": 5}, {\"weight\": 10833, \"source\": 2, \"target\": 7}, {\"weight\": 16525, \"source\": 2, \"target\": 3}, {\"weight\": 17222, \"source\": 2, \"target\": 6}, {\"weight\": 10120, \"source\": 2, \"target\": 4}, {\"weight\": 9320, \"source\": 3, \"target\": 8}, {\"weight\": 6798, \"source\": 3, \"target\": 5}, {\"weight\": 10344, \"source\": 3, \"target\": 7}, {\"weight\": 3251, \"source\": 3, \"target\": 6}, {\"weight\": 11216, \"source\": 3, \"target\": 4}, {\"weight\": 2910, \"source\": 4, \"target\": 8}, {\"weight\": 13216, \"source\": 4, \"target\": 5}, {\"weight\": 1754, \"source\": 4, \"target\": 7}, {\"weight\": 8620, \"source\": 4, \"target\": 6}, {\"weight\": 14088, \"source\": 5, \"target\": 8}, {\"weight\": 12430, \"source\": 5, \"target\": 7}, {\"weight\": 8634, \"source\": 5, \"target\": 6}, {\"weight\": 6714, \"source\": 6, \"target\": 8}, {\"weight\": 7799, \"source\": 6, \"target\": 7}, {\"weight\": 3289, \"source\": 7, \"target\": 8}]}",
"id": 297,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, TMJ, EAE, PAS, MOD, CGP, SOY, YWL, STL\n- Travel distances (in kilometers) between each pair of airports:\nFDF to STL: 3952\nFDF to CGP: 15086\nFDF to YWL: 7173\nFDF to PAS: 9101\nFDF to TMJ: 12333\nFDF to SOY: 7584\nFDF to EAE: 16047\nFDF to MOD: 6640\nTMJ to STL: 11586\nTMJ to CGP: 3703\nTMJ to YWL: 12437\nTMJ to PAS: 4503\nTMJ to SOY: 5659\nTMJ to EAE: 13082\nTMJ to MOD: 13283\nEAE to STL: 12480\nEAE to CGP: 10211\nEAE to YWL: 10833\nEAE to PAS: 16525\nEAE to SOY: 17222\nEAE to MOD: 10120\nPAS to STL: 9320\nPAS to CGP: 6798\nPAS to YWL: 10344\nPAS to SOY: 3251\nPAS to MOD: 11216\nMOD to STL: 2910\nMOD to CGP: 13216\nMOD to YWL: 1754\nMOD to SOY: 8620\nCGP to STL: 14088\nCGP to YWL: 12430\nCGP to SOY: 8634\nSOY to STL: 6714\nSOY to YWL: 7799\nYWL to STL: 3289\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPD, HER, AVP, MLL, CDV, KUU, CMH, GFF, YVQ\n- Travel distances (in kilometers) between each pair of airports:\nLPD to HER: 12129\nLPD to MLL: 10889\nLPD to YVQ: 9635\nLPD to CDV: 10131\nLPD to AVP: 5620\nLPD to CMH: 5443\nLPD to KUU: 16986\nLPD to GFF: 17474\nHER to MLL: 13283\nHER to YVQ: 11127\nHER to CDV: 12430\nHER to AVP: 8521\nHER to CMH: 8898\nHER to KUU: 5341\nHER to GFF: 15609\nAVP to MLL: 6175\nAVP to YVQ: 4553\nAVP to CDV: 5784\nAVP to CMH: 820\nAVP to KUU: 12426\nAVP to GFF: 16345\nMLL to YVQ: 5567\nMLL to CDV: 903\nMLL to CMH: 5689\nMLL to KUU: 15826\nMLL to GFF: 13762\nCDV to YVQ: 4714\nCDV to CMH: 5298\nCDV to KUU: 14973\nCDV to GFF: 13371\nKUU to YVQ: 14653\nKUU to CMH: 12522\nKUU to GFF: 11272\nCMH to YVQ: 4446\nCMH to GFF: 15735\nGFF to YVQ: 15478\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58937,
"style": "rule"
}
|
{
"exact_answer": 58937,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPD\", \"id\": 0}, {\"name\": \"HER\", \"id\": 1}, {\"name\": \"AVP\", \"id\": 2}, {\"name\": \"MLL\", \"id\": 3}, {\"name\": \"CDV\", \"id\": 4}, {\"name\": \"KUU\", \"id\": 5}, {\"name\": \"CMH\", \"id\": 6}, {\"name\": \"GFF\", \"id\": 7}, {\"name\": \"YVQ\", \"id\": 8}], \"links\": [{\"weight\": 12129, \"source\": 0, \"target\": 1}, {\"weight\": 10889, \"source\": 0, \"target\": 3}, {\"weight\": 9635, \"source\": 0, \"target\": 8}, {\"weight\": 10131, \"source\": 0, \"target\": 4}, {\"weight\": 5620, \"source\": 0, \"target\": 2}, {\"weight\": 5443, \"source\": 0, \"target\": 6}, {\"weight\": 16986, \"source\": 0, \"target\": 5}, {\"weight\": 17474, \"source\": 0, \"target\": 7}, {\"weight\": 13283, \"source\": 1, \"target\": 3}, {\"weight\": 11127, \"source\": 1, \"target\": 8}, {\"weight\": 12430, \"source\": 1, \"target\": 4}, {\"weight\": 8521, \"source\": 1, \"target\": 2}, {\"weight\": 8898, \"source\": 1, \"target\": 6}, {\"weight\": 5341, \"source\": 1, \"target\": 5}, {\"weight\": 15609, \"source\": 1, \"target\": 7}, {\"weight\": 6175, \"source\": 2, \"target\": 3}, {\"weight\": 4553, \"source\": 2, \"target\": 8}, {\"weight\": 5784, \"source\": 2, \"target\": 4}, {\"weight\": 820, \"source\": 2, \"target\": 6}, {\"weight\": 12426, \"source\": 2, \"target\": 5}, {\"weight\": 16345, \"source\": 2, \"target\": 7}, {\"weight\": 5567, \"source\": 3, \"target\": 8}, {\"weight\": 903, \"source\": 3, \"target\": 4}, {\"weight\": 5689, \"source\": 3, \"target\": 6}, {\"weight\": 15826, \"source\": 3, \"target\": 5}, {\"weight\": 13762, \"source\": 3, \"target\": 7}, {\"weight\": 4714, \"source\": 4, \"target\": 8}, {\"weight\": 5298, \"source\": 4, \"target\": 6}, {\"weight\": 14973, \"source\": 4, \"target\": 5}, {\"weight\": 13371, \"source\": 4, \"target\": 7}, {\"weight\": 14653, \"source\": 5, \"target\": 8}, {\"weight\": 12522, \"source\": 5, \"target\": 6}, {\"weight\": 11272, \"source\": 5, \"target\": 7}, {\"weight\": 4446, \"source\": 6, \"target\": 8}, {\"weight\": 15735, \"source\": 6, \"target\": 7}, {\"weight\": 15478, \"source\": 7, \"target\": 8}]}",
"id": 298,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPD, HER, AVP, MLL, CDV, KUU, CMH, GFF, YVQ\n- Travel distances (in kilometers) between each pair of airports:\nLPD to HER: 12129\nLPD to MLL: 10889\nLPD to YVQ: 9635\nLPD to CDV: 10131\nLPD to AVP: 5620\nLPD to CMH: 5443\nLPD to KUU: 16986\nLPD to GFF: 17474\nHER to MLL: 13283\nHER to YVQ: 11127\nHER to CDV: 12430\nHER to AVP: 8521\nHER to CMH: 8898\nHER to KUU: 5341\nHER to GFF: 15609\nAVP to MLL: 6175\nAVP to YVQ: 4553\nAVP to CDV: 5784\nAVP to CMH: 820\nAVP to KUU: 12426\nAVP to GFF: 16345\nMLL to YVQ: 5567\nMLL to CDV: 903\nMLL to CMH: 5689\nMLL to KUU: 15826\nMLL to GFF: 13762\nCDV to YVQ: 4714\nCDV to CMH: 5298\nCDV to KUU: 14973\nCDV to GFF: 13371\nKUU to YVQ: 14653\nKUU to CMH: 12522\nKUU to GFF: 11272\nCMH to YVQ: 4446\nCMH to GFF: 15735\nGFF to YVQ: 15478\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SEA, IXZ, DXB, OTP, URG, GOQ, CXI, LAS, AVA\n- Travel distances (in kilometers) between each pair of airports:\nSEA to DXB: 11927\nSEA to LAS: 1395\nSEA to OTP: 9506\nSEA to IXZ: 13574\nSEA to AVA: 10534\nSEA to CXI: 6456\nSEA to GOQ: 10684\nSEA to URG: 11724\nIXZ to DXB: 4305\nIXZ to LAS: 14969\nIXZ to OTP: 7499\nIXZ to AVA: 3822\nIXZ to CXI: 14831\nIXZ to GOQ: 4507\nIXZ to URG: 17578\nDXB to OTP: 3394\nDXB to LAS: 13322\nDXB to AVA: 5473\nDXB to CXI: 16125\nDXB to GOQ: 5551\nDXB to URG: 13571\nOTP to LAS: 10410\nOTP to AVA: 7869\nOTP to CXI: 15927\nOTP to GOQ: 7324\nOTP to URG: 12021\nURG to LAS: 10551\nURG to AVA: 19042\nURG to CXI: 16828\nURG to GOQ: 18862\nGOQ to LAS: 12079\nGOQ to AVA: 1938\nGOQ to CXI: 12285\nCXI to LAS: 6589\nCXI to AVA: 11894\nLAS to AVA: 11929\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56167,
"style": "rule"
}
|
{
"exact_answer": 56167,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SEA\", \"id\": 0}, {\"name\": \"IXZ\", \"id\": 1}, {\"name\": \"DXB\", \"id\": 2}, {\"name\": \"OTP\", \"id\": 3}, {\"name\": \"URG\", \"id\": 4}, {\"name\": \"GOQ\", \"id\": 5}, {\"name\": \"CXI\", \"id\": 6}, {\"name\": \"LAS\", \"id\": 7}, {\"name\": \"AVA\", \"id\": 8}], \"links\": [{\"weight\": 11927, \"source\": 0, \"target\": 2}, {\"weight\": 1395, \"source\": 0, \"target\": 7}, {\"weight\": 9506, \"source\": 0, \"target\": 3}, {\"weight\": 13574, \"source\": 0, \"target\": 1}, {\"weight\": 10534, \"source\": 0, \"target\": 8}, {\"weight\": 6456, \"source\": 0, \"target\": 6}, {\"weight\": 10684, \"source\": 0, \"target\": 5}, {\"weight\": 11724, \"source\": 0, \"target\": 4}, {\"weight\": 4305, \"source\": 1, \"target\": 2}, {\"weight\": 14969, \"source\": 1, \"target\": 7}, {\"weight\": 7499, \"source\": 1, \"target\": 3}, {\"weight\": 3822, \"source\": 1, \"target\": 8}, {\"weight\": 14831, \"source\": 1, \"target\": 6}, {\"weight\": 4507, \"source\": 1, \"target\": 5}, {\"weight\": 17578, \"source\": 1, \"target\": 4}, {\"weight\": 3394, \"source\": 2, \"target\": 3}, {\"weight\": 13322, \"source\": 2, \"target\": 7}, {\"weight\": 5473, \"source\": 2, \"target\": 8}, {\"weight\": 16125, \"source\": 2, \"target\": 6}, {\"weight\": 5551, \"source\": 2, \"target\": 5}, {\"weight\": 13571, \"source\": 2, \"target\": 4}, {\"weight\": 10410, \"source\": 3, \"target\": 7}, {\"weight\": 7869, \"source\": 3, \"target\": 8}, {\"weight\": 15927, \"source\": 3, \"target\": 6}, {\"weight\": 7324, \"source\": 3, \"target\": 5}, {\"weight\": 12021, \"source\": 3, \"target\": 4}, {\"weight\": 10551, \"source\": 4, \"target\": 7}, {\"weight\": 19042, \"source\": 4, \"target\": 8}, {\"weight\": 16828, \"source\": 4, \"target\": 6}, {\"weight\": 18862, \"source\": 4, \"target\": 5}, {\"weight\": 12079, \"source\": 5, \"target\": 7}, {\"weight\": 1938, \"source\": 5, \"target\": 8}, {\"weight\": 12285, \"source\": 5, \"target\": 6}, {\"weight\": 6589, \"source\": 6, \"target\": 7}, {\"weight\": 11894, \"source\": 6, \"target\": 8}, {\"weight\": 11929, \"source\": 7, \"target\": 8}]}",
"id": 299,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SEA, IXZ, DXB, OTP, URG, GOQ, CXI, LAS, AVA\n- Travel distances (in kilometers) between each pair of airports:\nSEA to DXB: 11927\nSEA to LAS: 1395\nSEA to OTP: 9506\nSEA to IXZ: 13574\nSEA to AVA: 10534\nSEA to CXI: 6456\nSEA to GOQ: 10684\nSEA to URG: 11724\nIXZ to DXB: 4305\nIXZ to LAS: 14969\nIXZ to OTP: 7499\nIXZ to AVA: 3822\nIXZ to CXI: 14831\nIXZ to GOQ: 4507\nIXZ to URG: 17578\nDXB to OTP: 3394\nDXB to LAS: 13322\nDXB to AVA: 5473\nDXB to CXI: 16125\nDXB to GOQ: 5551\nDXB to URG: 13571\nOTP to LAS: 10410\nOTP to AVA: 7869\nOTP to CXI: 15927\nOTP to GOQ: 7324\nOTP to URG: 12021\nURG to LAS: 10551\nURG to AVA: 19042\nURG to CXI: 16828\nURG to GOQ: 18862\nGOQ to LAS: 12079\nGOQ to AVA: 1938\nGOQ to CXI: 12285\nCXI to LAS: 6589\nCXI to AVA: 11894\nLAS to AVA: 11929\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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