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: CEK, JAV, GMA, KBV, KLX, OGS, BYO, SPP, YVM\n- Travel distances (in kilometers) between each pair of airports:\nCEK to YVM: 10679\nCEK to OGS: 9011\nCEK to KLX: 3828\nCEK to BYO: 14288\nCEK to KBV: 6509\nCEK to GMA: 9190\nCEK to SPP: 9571\nCEK to JAV: 6614\nJAV to YVM: 8791\nJAV to OGS: 6321\nJAV to KLX: 5857\nJAV to BYO: 14154\nJAV to KBV: 12961\nJAV to GMA: 11248\nJAV to SPP: 11498\nGMA to YVM: 14047\nGMA to OGS: 11769\nGMA to KLX: 7064\nGMA to BYO: 9111\nGMA to KBV: 11261\nGMA to SPP: 2339\nKBV to YVM: 16891\nKBV to OGS: 15359\nKBV to KLX: 8914\nKBV to BYO: 18102\nKBV to SPP: 11432\nKLX to YVM: 9111\nKLX to OGS: 8101\nKLX to BYO: 11824\nKLX to SPP: 7445\nOGS to YVM: 3440\nOGS to BYO: 9294\nOGS to SPP: 11688\nBYO to YVM: 11823\nBYO to SPP: 8384\nSPP to YVM: 14158\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59703,
"style": "rule"
}
|
{
"exact_answer": 59703,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CEK\", \"id\": 0}, {\"name\": \"JAV\", \"id\": 1}, {\"name\": \"GMA\", \"id\": 2}, {\"name\": \"KBV\", \"id\": 3}, {\"name\": \"KLX\", \"id\": 4}, {\"name\": \"OGS\", \"id\": 5}, {\"name\": \"BYO\", \"id\": 6}, {\"name\": \"SPP\", \"id\": 7}, {\"name\": \"YVM\", \"id\": 8}], \"links\": [{\"weight\": 10679, \"source\": 0, \"target\": 8}, {\"weight\": 9011, \"source\": 0, \"target\": 5}, {\"weight\": 3828, \"source\": 0, \"target\": 4}, {\"weight\": 14288, \"source\": 0, \"target\": 6}, {\"weight\": 6509, \"source\": 0, \"target\": 3}, {\"weight\": 9190, \"source\": 0, \"target\": 2}, {\"weight\": 9571, \"source\": 0, \"target\": 7}, {\"weight\": 6614, \"source\": 0, \"target\": 1}, {\"weight\": 8791, \"source\": 1, \"target\": 8}, {\"weight\": 6321, \"source\": 1, \"target\": 5}, {\"weight\": 5857, \"source\": 1, \"target\": 4}, {\"weight\": 14154, \"source\": 1, \"target\": 6}, {\"weight\": 12961, \"source\": 1, \"target\": 3}, {\"weight\": 11248, \"source\": 1, \"target\": 2}, {\"weight\": 11498, \"source\": 1, \"target\": 7}, {\"weight\": 14047, \"source\": 2, \"target\": 8}, {\"weight\": 11769, \"source\": 2, \"target\": 5}, {\"weight\": 7064, \"source\": 2, \"target\": 4}, {\"weight\": 9111, \"source\": 2, \"target\": 6}, {\"weight\": 11261, \"source\": 2, \"target\": 3}, {\"weight\": 2339, \"source\": 2, \"target\": 7}, {\"weight\": 16891, \"source\": 3, \"target\": 8}, {\"weight\": 15359, \"source\": 3, \"target\": 5}, {\"weight\": 8914, \"source\": 3, \"target\": 4}, {\"weight\": 18102, \"source\": 3, \"target\": 6}, {\"weight\": 11432, \"source\": 3, \"target\": 7}, {\"weight\": 9111, \"source\": 4, \"target\": 8}, {\"weight\": 8101, \"source\": 4, \"target\": 5}, {\"weight\": 11824, \"source\": 4, \"target\": 6}, {\"weight\": 7445, \"source\": 4, \"target\": 7}, {\"weight\": 3440, \"source\": 5, \"target\": 8}, {\"weight\": 9294, \"source\": 5, \"target\": 6}, {\"weight\": 11688, \"source\": 5, \"target\": 7}, {\"weight\": 11823, \"source\": 6, \"target\": 8}, {\"weight\": 8384, \"source\": 6, \"target\": 7}, {\"weight\": 14158, \"source\": 7, \"target\": 8}]}",
"id": 0,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEK, JAV, GMA, KBV, KLX, OGS, BYO, SPP, YVM\n- Travel distances (in kilometers) between each pair of airports:\nCEK to YVM: 10679\nCEK to OGS: 9011\nCEK to KLX: 3828\nCEK to BYO: 14288\nCEK to KBV: 6509\nCEK to GMA: 9190\nCEK to SPP: 9571\nCEK to JAV: 6614\nJAV to YVM: 8791\nJAV to OGS: 6321\nJAV to KLX: 5857\nJAV to BYO: 14154\nJAV to KBV: 12961\nJAV to GMA: 11248\nJAV to SPP: 11498\nGMA to YVM: 14047\nGMA to OGS: 11769\nGMA to KLX: 7064\nGMA to BYO: 9111\nGMA to KBV: 11261\nGMA to SPP: 2339\nKBV to YVM: 16891\nKBV to OGS: 15359\nKBV to KLX: 8914\nKBV to BYO: 18102\nKBV to SPP: 11432\nKLX to YVM: 9111\nKLX to OGS: 8101\nKLX to BYO: 11824\nKLX to SPP: 7445\nOGS to YVM: 3440\nOGS to BYO: 9294\nOGS to SPP: 11688\nBYO to YVM: 11823\nBYO to SPP: 8384\nSPP to YVM: 14158\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YQD, NBO, KMI, YNC, NKG, CCJ, MGT, HFE, BMU\n- Travel distances (in kilometers) between each pair of airports:\nYQD to NBO: 14357\nYQD to NKG: 11525\nYQD to HFE: 11612\nYQD to CCJ: 15514\nYQD to KMI: 10595\nYQD to BMU: 15655\nYQD to MGT: 16331\nYQD to YNC: 2318\nNBO to NKG: 9327\nNBO to HFE: 9180\nNBO to CCJ: 5476\nNBO to KMI: 10674\nNBO to BMU: 9787\nNBO to MGT: 11605\nNBO to YNC: 12991\nKMI to NKG: 1353\nKMI to HFE: 1499\nKMI to CCJ: 6272\nKMI to BMU: 5456\nKMI to MGT: 6048\nKMI to YNC: 11869\nYNC to NKG: 12679\nYNC to HFE: 12654\nYNC to CCJ: 14286\nYNC to BMU: 16929\nYNC to MGT: 17605\nNKG to HFE: 716\nNKG to CCJ: 5062\nNKG to BMU: 4980\nNKG to MGT: 5550\nCCJ to HFE: 4928\nCCJ to BMU: 5308\nCCJ to MGT: 7059\nMGT to HFE: 5586\nMGT to BMU: 2588\nHFE to BMU: 4948\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46931,
"style": "rule"
}
|
{
"exact_answer": 46931,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YQD\", \"id\": 0}, {\"name\": \"NBO\", \"id\": 1}, {\"name\": \"KMI\", \"id\": 2}, {\"name\": \"YNC\", \"id\": 3}, {\"name\": \"NKG\", \"id\": 4}, {\"name\": \"CCJ\", \"id\": 5}, {\"name\": \"MGT\", \"id\": 6}, {\"name\": \"HFE\", \"id\": 7}, {\"name\": \"BMU\", \"id\": 8}], \"links\": [{\"weight\": 14357, \"source\": 0, \"target\": 1}, {\"weight\": 11525, \"source\": 0, \"target\": 4}, {\"weight\": 11612, \"source\": 0, \"target\": 7}, {\"weight\": 15514, \"source\": 0, \"target\": 5}, {\"weight\": 10595, \"source\": 0, \"target\": 2}, {\"weight\": 15655, \"source\": 0, \"target\": 8}, {\"weight\": 16331, \"source\": 0, \"target\": 6}, {\"weight\": 2318, \"source\": 0, \"target\": 3}, {\"weight\": 9327, \"source\": 1, \"target\": 4}, {\"weight\": 9180, \"source\": 1, \"target\": 7}, {\"weight\": 5476, \"source\": 1, \"target\": 5}, {\"weight\": 10674, \"source\": 1, \"target\": 2}, {\"weight\": 9787, \"source\": 1, \"target\": 8}, {\"weight\": 11605, \"source\": 1, \"target\": 6}, {\"weight\": 12991, \"source\": 1, \"target\": 3}, {\"weight\": 1353, \"source\": 2, \"target\": 4}, {\"weight\": 1499, \"source\": 2, \"target\": 7}, {\"weight\": 6272, \"source\": 2, \"target\": 5}, {\"weight\": 5456, \"source\": 2, \"target\": 8}, {\"weight\": 6048, \"source\": 2, \"target\": 6}, {\"weight\": 11869, \"source\": 2, \"target\": 3}, {\"weight\": 12679, \"source\": 3, \"target\": 4}, {\"weight\": 12654, \"source\": 3, \"target\": 7}, {\"weight\": 14286, \"source\": 3, \"target\": 5}, {\"weight\": 16929, \"source\": 3, \"target\": 8}, {\"weight\": 17605, \"source\": 3, \"target\": 6}, {\"weight\": 716, \"source\": 4, \"target\": 7}, {\"weight\": 5062, \"source\": 4, \"target\": 5}, {\"weight\": 4980, \"source\": 4, \"target\": 8}, {\"weight\": 5550, \"source\": 4, \"target\": 6}, {\"weight\": 4928, \"source\": 5, \"target\": 7}, {\"weight\": 5308, \"source\": 5, \"target\": 8}, {\"weight\": 7059, \"source\": 5, \"target\": 6}, {\"weight\": 5586, \"source\": 6, \"target\": 7}, {\"weight\": 2588, \"source\": 6, \"target\": 8}, {\"weight\": 4948, \"source\": 7, \"target\": 8}]}",
"id": 1,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YQD, NBO, KMI, YNC, NKG, CCJ, MGT, HFE, BMU\n- Travel distances (in kilometers) between each pair of airports:\nYQD to NBO: 14357\nYQD to NKG: 11525\nYQD to HFE: 11612\nYQD to CCJ: 15514\nYQD to KMI: 10595\nYQD to BMU: 15655\nYQD to MGT: 16331\nYQD to YNC: 2318\nNBO to NKG: 9327\nNBO to HFE: 9180\nNBO to CCJ: 5476\nNBO to KMI: 10674\nNBO to BMU: 9787\nNBO to MGT: 11605\nNBO to YNC: 12991\nKMI to NKG: 1353\nKMI to HFE: 1499\nKMI to CCJ: 6272\nKMI to BMU: 5456\nKMI to MGT: 6048\nKMI to YNC: 11869\nYNC to NKG: 12679\nYNC to HFE: 12654\nYNC to CCJ: 14286\nYNC to BMU: 16929\nYNC to MGT: 17605\nNKG to HFE: 716\nNKG to CCJ: 5062\nNKG to BMU: 4980\nNKG to MGT: 5550\nCCJ to HFE: 4928\nCCJ to BMU: 5308\nCCJ to MGT: 7059\nMGT to HFE: 5586\nMGT to BMU: 2588\nHFE to BMU: 4948\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPE, RFD, YYH, TLN, JSH, PEN, AXM, ROV, BEN\n- Travel distances (in kilometers) between each pair of airports:\nCPE to PEN: 17445\nCPE to YYH: 7059\nCPE to ROV: 12485\nCPE to BEN: 12286\nCPE to JSH: 12552\nCPE to TLN: 10784\nCPE to AXM: 4239\nCPE to RFD: 4943\nRFD to PEN: 16458\nRFD to YYH: 6491\nRFD to ROV: 11421\nRFD to BEN: 11213\nRFD to JSH: 11442\nRFD to TLN: 9674\nRFD to AXM: 4611\nYYH to PEN: 15697\nYYH to ROV: 11329\nYYH to BEN: 11825\nYYH to JSH: 11724\nYYH to TLN: 10101\nYYH to AXM: 8822\nTLN to PEN: 11006\nTLN to ROV: 3454\nTLN to BEN: 3105\nTLN to JSH: 3152\nTLN to AXM: 9506\nJSH to PEN: 8930\nJSH to ROV: 2014\nJSH to BEN: 1908\nJSH to AXM: 10946\nPEN to ROV: 7673\nPEN to BEN: 8798\nPEN to AXM: 18938\nAXM to ROV: 11567\nAXM to BEN: 10421\nROV to BEN: 2372\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55576,
"style": "rule"
}
|
{
"exact_answer": 55576,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CPE\", \"id\": 0}, {\"name\": \"RFD\", \"id\": 1}, {\"name\": \"YYH\", \"id\": 2}, {\"name\": \"TLN\", \"id\": 3}, {\"name\": \"JSH\", \"id\": 4}, {\"name\": \"PEN\", \"id\": 5}, {\"name\": \"AXM\", \"id\": 6}, {\"name\": \"ROV\", \"id\": 7}, {\"name\": \"BEN\", \"id\": 8}], \"links\": [{\"weight\": 17445, \"source\": 0, \"target\": 5}, {\"weight\": 7059, \"source\": 0, \"target\": 2}, {\"weight\": 12485, \"source\": 0, \"target\": 7}, {\"weight\": 12286, \"source\": 0, \"target\": 8}, {\"weight\": 12552, \"source\": 0, \"target\": 4}, {\"weight\": 10784, \"source\": 0, \"target\": 3}, {\"weight\": 4239, \"source\": 0, \"target\": 6}, {\"weight\": 4943, \"source\": 0, \"target\": 1}, {\"weight\": 16458, \"source\": 1, \"target\": 5}, {\"weight\": 6491, \"source\": 1, \"target\": 2}, {\"weight\": 11421, \"source\": 1, \"target\": 7}, {\"weight\": 11213, \"source\": 1, \"target\": 8}, {\"weight\": 11442, \"source\": 1, \"target\": 4}, {\"weight\": 9674, \"source\": 1, \"target\": 3}, {\"weight\": 4611, \"source\": 1, \"target\": 6}, {\"weight\": 15697, \"source\": 2, \"target\": 5}, {\"weight\": 11329, \"source\": 2, \"target\": 7}, {\"weight\": 11825, \"source\": 2, \"target\": 8}, {\"weight\": 11724, \"source\": 2, \"target\": 4}, {\"weight\": 10101, \"source\": 2, \"target\": 3}, {\"weight\": 8822, \"source\": 2, \"target\": 6}, {\"weight\": 11006, \"source\": 3, \"target\": 5}, {\"weight\": 3454, \"source\": 3, \"target\": 7}, {\"weight\": 3105, \"source\": 3, \"target\": 8}, {\"weight\": 3152, \"source\": 3, \"target\": 4}, {\"weight\": 9506, \"source\": 3, \"target\": 6}, {\"weight\": 8930, \"source\": 4, \"target\": 5}, {\"weight\": 2014, \"source\": 4, \"target\": 7}, {\"weight\": 1908, \"source\": 4, \"target\": 8}, {\"weight\": 10946, \"source\": 4, \"target\": 6}, {\"weight\": 7673, \"source\": 5, \"target\": 7}, {\"weight\": 8798, \"source\": 5, \"target\": 8}, {\"weight\": 18938, \"source\": 5, \"target\": 6}, {\"weight\": 11567, \"source\": 6, \"target\": 7}, {\"weight\": 10421, \"source\": 6, \"target\": 8}, {\"weight\": 2372, \"source\": 7, \"target\": 8}]}",
"id": 2,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPE, RFD, YYH, TLN, JSH, PEN, AXM, ROV, BEN\n- Travel distances (in kilometers) between each pair of airports:\nCPE to PEN: 17445\nCPE to YYH: 7059\nCPE to ROV: 12485\nCPE to BEN: 12286\nCPE to JSH: 12552\nCPE to TLN: 10784\nCPE to AXM: 4239\nCPE to RFD: 4943\nRFD to PEN: 16458\nRFD to YYH: 6491\nRFD to ROV: 11421\nRFD to BEN: 11213\nRFD to JSH: 11442\nRFD to TLN: 9674\nRFD to AXM: 4611\nYYH to PEN: 15697\nYYH to ROV: 11329\nYYH to BEN: 11825\nYYH to JSH: 11724\nYYH to TLN: 10101\nYYH to AXM: 8822\nTLN to PEN: 11006\nTLN to ROV: 3454\nTLN to BEN: 3105\nTLN to JSH: 3152\nTLN to AXM: 9506\nJSH to PEN: 8930\nJSH to ROV: 2014\nJSH to BEN: 1908\nJSH to AXM: 10946\nPEN to ROV: 7673\nPEN to BEN: 8798\nPEN to AXM: 18938\nAXM to ROV: 11567\nAXM to BEN: 10421\nROV to BEN: 2372\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HEK, SPC, KDU, SFN, SUB, JKR, BCV, AMM\n- Travel distances (in kilometers) between each pair of airports:\nYKL to SFN: 10957\nYKL to AMM: 8871\nYKL to BCV: 4607\nYKL to SPC: 7201\nYKL to SUB: 17427\nYKL to HEK: 13722\nYKL to KDU: 11548\nYKL to JKR: 12856\nHEK to SFN: 20282\nHEK to AMM: 8274\nHEK to BCV: 14387\nHEK to SPC: 11662\nHEK to SUB: 6565\nHEK to KDU: 5709\nHEK to JKR: 4781\nSPC to SFN: 8974\nSPC to AMM: 5212\nSPC to BCV: 8585\nSPC to SUB: 14427\nSPC to KDU: 8693\nSPC to JKR: 9865\nKDU to SFN: 16458\nKDU to AMM: 3801\nKDU to BCV: 14359\nKDU to SUB: 6510\nKDU to JKR: 1913\nSFN to AMM: 12790\nSFN to BCV: 7145\nSFN to SUB: 17797\nSFN to JKR: 17351\nSUB to AMM: 9227\nSUB to BCV: 17944\nSUB to JKR: 5037\nJKR to AMM: 4883\nJKR to BCV: 15666\nBCV to AMM: 12004\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56976,
"style": "rule"
}
|
{
"exact_answer": 56976,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YKL\", \"id\": 0}, {\"name\": \"HEK\", \"id\": 1}, {\"name\": \"SPC\", \"id\": 2}, {\"name\": \"KDU\", \"id\": 3}, {\"name\": \"SFN\", \"id\": 4}, {\"name\": \"SUB\", \"id\": 5}, {\"name\": \"JKR\", \"id\": 6}, {\"name\": \"BCV\", \"id\": 7}, {\"name\": \"AMM\", \"id\": 8}], \"links\": [{\"weight\": 10957, \"source\": 0, \"target\": 4}, {\"weight\": 8871, \"source\": 0, \"target\": 8}, {\"weight\": 4607, \"source\": 0, \"target\": 7}, {\"weight\": 7201, \"source\": 0, \"target\": 2}, {\"weight\": 17427, \"source\": 0, \"target\": 5}, {\"weight\": 13722, \"source\": 0, \"target\": 1}, {\"weight\": 11548, \"source\": 0, \"target\": 3}, {\"weight\": 12856, \"source\": 0, \"target\": 6}, {\"weight\": 20282, \"source\": 1, \"target\": 4}, {\"weight\": 8274, \"source\": 1, \"target\": 8}, {\"weight\": 14387, \"source\": 1, \"target\": 7}, {\"weight\": 11662, \"source\": 1, \"target\": 2}, {\"weight\": 6565, \"source\": 1, \"target\": 5}, {\"weight\": 5709, \"source\": 1, \"target\": 3}, {\"weight\": 4781, \"source\": 1, \"target\": 6}, {\"weight\": 8974, \"source\": 2, \"target\": 4}, {\"weight\": 5212, \"source\": 2, \"target\": 8}, {\"weight\": 8585, \"source\": 2, \"target\": 7}, {\"weight\": 14427, \"source\": 2, \"target\": 5}, {\"weight\": 8693, \"source\": 2, \"target\": 3}, {\"weight\": 9865, \"source\": 2, \"target\": 6}, {\"weight\": 16458, \"source\": 3, \"target\": 4}, {\"weight\": 3801, \"source\": 3, \"target\": 8}, {\"weight\": 14359, \"source\": 3, \"target\": 7}, {\"weight\": 6510, \"source\": 3, \"target\": 5}, {\"weight\": 1913, \"source\": 3, \"target\": 6}, {\"weight\": 12790, \"source\": 4, \"target\": 8}, {\"weight\": 7145, \"source\": 4, \"target\": 7}, {\"weight\": 17797, \"source\": 4, \"target\": 5}, {\"weight\": 17351, \"source\": 4, \"target\": 6}, {\"weight\": 9227, \"source\": 5, \"target\": 8}, {\"weight\": 17944, \"source\": 5, \"target\": 7}, {\"weight\": 5037, \"source\": 5, \"target\": 6}, {\"weight\": 4883, \"source\": 6, \"target\": 8}, {\"weight\": 15666, \"source\": 6, \"target\": 7}, {\"weight\": 12004, \"source\": 7, \"target\": 8}]}",
"id": 3,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HEK, SPC, KDU, SFN, SUB, JKR, BCV, AMM\n- Travel distances (in kilometers) between each pair of airports:\nYKL to SFN: 10957\nYKL to AMM: 8871\nYKL to BCV: 4607\nYKL to SPC: 7201\nYKL to SUB: 17427\nYKL to HEK: 13722\nYKL to KDU: 11548\nYKL to JKR: 12856\nHEK to SFN: 20282\nHEK to AMM: 8274\nHEK to BCV: 14387\nHEK to SPC: 11662\nHEK to SUB: 6565\nHEK to KDU: 5709\nHEK to JKR: 4781\nSPC to SFN: 8974\nSPC to AMM: 5212\nSPC to BCV: 8585\nSPC to SUB: 14427\nSPC to KDU: 8693\nSPC to JKR: 9865\nKDU to SFN: 16458\nKDU to AMM: 3801\nKDU to BCV: 14359\nKDU to SUB: 6510\nKDU to JKR: 1913\nSFN to AMM: 12790\nSFN to BCV: 7145\nSFN to SUB: 17797\nSFN to JKR: 17351\nSUB to AMM: 9227\nSUB to BCV: 17944\nSUB to JKR: 5037\nJKR to AMM: 4883\nJKR to BCV: 15666\nBCV to AMM: 12004\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BJR, SDV, SIT, YKF, RHD, PPP, YCU, KGQ, LDU\n- Travel distances (in kilometers) between each pair of airports:\nBJR to SDV: 3483\nBJR to YKF: 13171\nBJR to RHD: 12961\nBJR to SIT: 15265\nBJR to YCU: 8353\nBJR to KGQ: 10163\nBJR to PPP: 14982\nBJR to LDU: 9359\nSDV to YKF: 11113\nSDV to RHD: 13890\nSDV to SIT: 13028\nSDV to YCU: 7515\nSDV to KGQ: 7857\nSDV to PPP: 15561\nSDV to LDU: 9770\nSIT to YKF: 4759\nSIT to RHD: 13596\nSIT to YCU: 10794\nSIT to KGQ: 9641\nSIT to PPP: 13988\nSIT to LDU: 13453\nYKF to RHD: 10783\nYKF to YCU: 11928\nYKF to KGQ: 7951\nYKF to PPP: 15865\nYKF to LDU: 15007\nRHD to YCU: 20198\nRHD to KGQ: 16328\nRHD to PPP: 14990\nRHD to LDU: 20015\nPPP to YCU: 9161\nPPP to KGQ: 20539\nPPP to LDU: 7288\nYCU to KGQ: 11657\nYCU to LDU: 3560\nKGQ to LDU: 14802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 70714,
"style": "rule"
}
|
{
"exact_answer": 70714,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BJR\", \"id\": 0}, {\"name\": \"SDV\", \"id\": 1}, {\"name\": \"SIT\", \"id\": 2}, {\"name\": \"YKF\", \"id\": 3}, {\"name\": \"RHD\", \"id\": 4}, {\"name\": \"PPP\", \"id\": 5}, {\"name\": \"YCU\", \"id\": 6}, {\"name\": \"KGQ\", \"id\": 7}, {\"name\": \"LDU\", \"id\": 8}], \"links\": [{\"weight\": 3483, \"source\": 0, \"target\": 1}, {\"weight\": 13171, \"source\": 0, \"target\": 3}, {\"weight\": 12961, \"source\": 0, \"target\": 4}, {\"weight\": 15265, \"source\": 0, \"target\": 2}, {\"weight\": 8353, \"source\": 0, \"target\": 6}, {\"weight\": 10163, \"source\": 0, \"target\": 7}, {\"weight\": 14982, \"source\": 0, \"target\": 5}, {\"weight\": 9359, \"source\": 0, \"target\": 8}, {\"weight\": 11113, \"source\": 1, \"target\": 3}, {\"weight\": 13890, \"source\": 1, \"target\": 4}, {\"weight\": 13028, \"source\": 1, \"target\": 2}, {\"weight\": 7515, \"source\": 1, \"target\": 6}, {\"weight\": 7857, \"source\": 1, \"target\": 7}, {\"weight\": 15561, \"source\": 1, \"target\": 5}, {\"weight\": 9770, \"source\": 1, \"target\": 8}, {\"weight\": 4759, \"source\": 2, \"target\": 3}, {\"weight\": 13596, \"source\": 2, \"target\": 4}, {\"weight\": 10794, \"source\": 2, \"target\": 6}, {\"weight\": 9641, \"source\": 2, \"target\": 7}, {\"weight\": 13988, \"source\": 2, \"target\": 5}, {\"weight\": 13453, \"source\": 2, \"target\": 8}, {\"weight\": 10783, \"source\": 3, \"target\": 4}, {\"weight\": 11928, \"source\": 3, \"target\": 6}, {\"weight\": 7951, \"source\": 3, \"target\": 7}, {\"weight\": 15865, \"source\": 3, \"target\": 5}, {\"weight\": 15007, \"source\": 3, \"target\": 8}, {\"weight\": 20198, \"source\": 4, \"target\": 6}, {\"weight\": 16328, \"source\": 4, \"target\": 7}, {\"weight\": 14990, \"source\": 4, \"target\": 5}, {\"weight\": 20015, \"source\": 4, \"target\": 8}, {\"weight\": 9161, \"source\": 5, \"target\": 6}, {\"weight\": 20539, \"source\": 5, \"target\": 7}, {\"weight\": 7288, \"source\": 5, \"target\": 8}, {\"weight\": 11657, \"source\": 6, \"target\": 7}, {\"weight\": 3560, \"source\": 6, \"target\": 8}, {\"weight\": 14802, \"source\": 7, \"target\": 8}]}",
"id": 4,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BJR, SDV, SIT, YKF, RHD, PPP, YCU, KGQ, LDU\n- Travel distances (in kilometers) between each pair of airports:\nBJR to SDV: 3483\nBJR to YKF: 13171\nBJR to RHD: 12961\nBJR to SIT: 15265\nBJR to YCU: 8353\nBJR to KGQ: 10163\nBJR to PPP: 14982\nBJR to LDU: 9359\nSDV to YKF: 11113\nSDV to RHD: 13890\nSDV to SIT: 13028\nSDV to YCU: 7515\nSDV to KGQ: 7857\nSDV to PPP: 15561\nSDV to LDU: 9770\nSIT to YKF: 4759\nSIT to RHD: 13596\nSIT to YCU: 10794\nSIT to KGQ: 9641\nSIT to PPP: 13988\nSIT to LDU: 13453\nYKF to RHD: 10783\nYKF to YCU: 11928\nYKF to KGQ: 7951\nYKF to PPP: 15865\nYKF to LDU: 15007\nRHD to YCU: 20198\nRHD to KGQ: 16328\nRHD to PPP: 14990\nRHD to LDU: 20015\nPPP to YCU: 9161\nPPP to KGQ: 20539\nPPP to LDU: 7288\nYCU to KGQ: 11657\nYCU to LDU: 3560\nKGQ to LDU: 14802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ONG, CGP, ZRJ, CZU, SRX, NAG, EVG, HAS, KCL\n- Travel distances (in kilometers) between each pair of airports:\nONG to CGP: 7806\nONG to NAG: 8692\nONG to CZU: 18748\nONG to HAS: 12319\nONG to KCL: 14804\nONG to SRX: 15466\nONG to EVG: 14615\nONG to ZRJ: 16459\nCGP to NAG: 1334\nCGP to CZU: 17387\nCGP to HAS: 5094\nCGP to KCL: 15352\nCGP to SRX: 8115\nCGP to EVG: 7560\nCGP to ZRJ: 14658\nZRJ to NAG: 14015\nZRJ to CZU: 6394\nZRJ to HAS: 12630\nZRJ to KCL: 5698\nZRJ to SRX: 9643\nZRJ to EVG: 8135\nCZU to NAG: 16588\nCZU to HAS: 13603\nCZU to KCL: 10109\nCZU to SRX: 10469\nCZU to EVG: 10717\nSRX to NAG: 6989\nSRX to HAS: 3895\nSRX to KCL: 13478\nSRX to EVG: 3727\nNAG to HAS: 3843\nNAG to KCL: 16330\nNAG to EVG: 6761\nEVG to HAS: 5520\nEVG to KCL: 11355\nHAS to KCL: 16031\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58218,
"style": "rule"
}
|
{
"exact_answer": 58218,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ONG\", \"id\": 0}, {\"name\": \"CGP\", \"id\": 1}, {\"name\": \"ZRJ\", \"id\": 2}, {\"name\": \"CZU\", \"id\": 3}, {\"name\": \"SRX\", \"id\": 4}, {\"name\": \"NAG\", \"id\": 5}, {\"name\": \"EVG\", \"id\": 6}, {\"name\": \"HAS\", \"id\": 7}, {\"name\": \"KCL\", \"id\": 8}], \"links\": [{\"weight\": 7806, \"source\": 0, \"target\": 1}, {\"weight\": 8692, \"source\": 0, \"target\": 5}, {\"weight\": 18748, \"source\": 0, \"target\": 3}, {\"weight\": 12319, \"source\": 0, \"target\": 7}, {\"weight\": 14804, \"source\": 0, \"target\": 8}, {\"weight\": 15466, \"source\": 0, \"target\": 4}, {\"weight\": 14615, \"source\": 0, \"target\": 6}, {\"weight\": 16459, \"source\": 0, \"target\": 2}, {\"weight\": 1334, \"source\": 1, \"target\": 5}, {\"weight\": 17387, \"source\": 1, \"target\": 3}, {\"weight\": 5094, \"source\": 1, \"target\": 7}, {\"weight\": 15352, \"source\": 1, \"target\": 8}, {\"weight\": 8115, \"source\": 1, \"target\": 4}, {\"weight\": 7560, \"source\": 1, \"target\": 6}, {\"weight\": 14658, \"source\": 1, \"target\": 2}, {\"weight\": 14015, \"source\": 2, \"target\": 5}, {\"weight\": 6394, \"source\": 2, \"target\": 3}, {\"weight\": 12630, \"source\": 2, \"target\": 7}, {\"weight\": 5698, \"source\": 2, \"target\": 8}, {\"weight\": 9643, \"source\": 2, \"target\": 4}, {\"weight\": 8135, \"source\": 2, \"target\": 6}, {\"weight\": 16588, \"source\": 3, \"target\": 5}, {\"weight\": 13603, \"source\": 3, \"target\": 7}, {\"weight\": 10109, \"source\": 3, \"target\": 8}, {\"weight\": 10469, \"source\": 3, \"target\": 4}, {\"weight\": 10717, \"source\": 3, \"target\": 6}, {\"weight\": 6989, \"source\": 4, \"target\": 5}, {\"weight\": 3895, \"source\": 4, \"target\": 7}, {\"weight\": 13478, \"source\": 4, \"target\": 8}, {\"weight\": 3727, \"source\": 4, \"target\": 6}, {\"weight\": 3843, \"source\": 5, \"target\": 7}, {\"weight\": 16330, \"source\": 5, \"target\": 8}, {\"weight\": 6761, \"source\": 5, \"target\": 6}, {\"weight\": 5520, \"source\": 6, \"target\": 7}, {\"weight\": 11355, \"source\": 6, \"target\": 8}, {\"weight\": 16031, \"source\": 7, \"target\": 8}]}",
"id": 5,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ONG, CGP, ZRJ, CZU, SRX, NAG, EVG, HAS, KCL\n- Travel distances (in kilometers) between each pair of airports:\nONG to CGP: 7806\nONG to NAG: 8692\nONG to CZU: 18748\nONG to HAS: 12319\nONG to KCL: 14804\nONG to SRX: 15466\nONG to EVG: 14615\nONG to ZRJ: 16459\nCGP to NAG: 1334\nCGP to CZU: 17387\nCGP to HAS: 5094\nCGP to KCL: 15352\nCGP to SRX: 8115\nCGP to EVG: 7560\nCGP to ZRJ: 14658\nZRJ to NAG: 14015\nZRJ to CZU: 6394\nZRJ to HAS: 12630\nZRJ to KCL: 5698\nZRJ to SRX: 9643\nZRJ to EVG: 8135\nCZU to NAG: 16588\nCZU to HAS: 13603\nCZU to KCL: 10109\nCZU to SRX: 10469\nCZU to EVG: 10717\nSRX to NAG: 6989\nSRX to HAS: 3895\nSRX to KCL: 13478\nSRX to EVG: 3727\nNAG to HAS: 3843\nNAG to KCL: 16330\nNAG to EVG: 6761\nEVG to HAS: 5520\nEVG to KCL: 11355\nHAS to KCL: 16031\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UYL, YFC, PNK, NIM, CKG, LXR, DRV, TVS, DLG\n- Travel distances (in kilometers) between each pair of airports:\nUYL to NIM: 4240\nUYL to CKG: 8560\nUYL to TVS: 9630\nUYL to YFC: 10904\nUYL to DLG: 16495\nUYL to PNK: 10010\nUYL to LXR: 2671\nUYL to DRV: 6555\nYFC to NIM: 8657\nYFC to CKG: 13085\nYFC to TVS: 12375\nYFC to DLG: 6654\nYFC to PNK: 16348\nYFC to LXR: 8849\nYFC to DRV: 13493\nPNK to NIM: 12386\nPNK to CKG: 3911\nPNK to TVS: 4817\nPNK to DLG: 15613\nPNK to LXR: 8811\nPNK to DRV: 4411\nNIM to CKG: 10904\nNIM to TVS: 11413\nNIM to DLG: 14189\nNIM to LXR: 4688\nNIM to DRV: 8928\nCKG to TVS: 1533\nCKG to DLG: 12995\nCKG to LXR: 7291\nCKG to DRV: 4676\nLXR to TVS: 8088\nLXR to DLG: 14477\nLXR to DRV: 5322\nDRV to TVS: 6209\nDRV to DLG: 17518\nTVS to DLG: 12000\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49399,
"style": "rule"
}
|
{
"exact_answer": 49399,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UYL\", \"id\": 0}, {\"name\": \"YFC\", \"id\": 1}, {\"name\": \"PNK\", \"id\": 2}, {\"name\": \"NIM\", \"id\": 3}, {\"name\": \"CKG\", \"id\": 4}, {\"name\": \"LXR\", \"id\": 5}, {\"name\": \"DRV\", \"id\": 6}, {\"name\": \"TVS\", \"id\": 7}, {\"name\": \"DLG\", \"id\": 8}], \"links\": [{\"weight\": 4240, \"source\": 0, \"target\": 3}, {\"weight\": 8560, \"source\": 0, \"target\": 4}, {\"weight\": 9630, \"source\": 0, \"target\": 7}, {\"weight\": 10904, \"source\": 0, \"target\": 1}, {\"weight\": 16495, \"source\": 0, \"target\": 8}, {\"weight\": 10010, \"source\": 0, \"target\": 2}, {\"weight\": 2671, \"source\": 0, \"target\": 5}, {\"weight\": 6555, \"source\": 0, \"target\": 6}, {\"weight\": 8657, \"source\": 1, \"target\": 3}, {\"weight\": 13085, \"source\": 1, \"target\": 4}, {\"weight\": 12375, \"source\": 1, \"target\": 7}, {\"weight\": 6654, \"source\": 1, \"target\": 8}, {\"weight\": 16348, \"source\": 1, \"target\": 2}, {\"weight\": 8849, \"source\": 1, \"target\": 5}, {\"weight\": 13493, \"source\": 1, \"target\": 6}, {\"weight\": 12386, \"source\": 2, \"target\": 3}, {\"weight\": 3911, \"source\": 2, \"target\": 4}, {\"weight\": 4817, \"source\": 2, \"target\": 7}, {\"weight\": 15613, \"source\": 2, \"target\": 8}, {\"weight\": 8811, \"source\": 2, \"target\": 5}, {\"weight\": 4411, \"source\": 2, \"target\": 6}, {\"weight\": 10904, \"source\": 3, \"target\": 4}, {\"weight\": 11413, \"source\": 3, \"target\": 7}, {\"weight\": 14189, \"source\": 3, \"target\": 8}, {\"weight\": 4688, \"source\": 3, \"target\": 5}, {\"weight\": 8928, \"source\": 3, \"target\": 6}, {\"weight\": 1533, \"source\": 4, \"target\": 7}, {\"weight\": 12995, \"source\": 4, \"target\": 8}, {\"weight\": 7291, \"source\": 4, \"target\": 5}, {\"weight\": 4676, \"source\": 4, \"target\": 6}, {\"weight\": 8088, \"source\": 5, \"target\": 7}, {\"weight\": 14477, \"source\": 5, \"target\": 8}, {\"weight\": 5322, \"source\": 5, \"target\": 6}, {\"weight\": 6209, \"source\": 6, \"target\": 7}, {\"weight\": 17518, \"source\": 6, \"target\": 8}, {\"weight\": 12000, \"source\": 7, \"target\": 8}]}",
"id": 6,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UYL, YFC, PNK, NIM, CKG, LXR, DRV, TVS, DLG\n- Travel distances (in kilometers) between each pair of airports:\nUYL to NIM: 4240\nUYL to CKG: 8560\nUYL to TVS: 9630\nUYL to YFC: 10904\nUYL to DLG: 16495\nUYL to PNK: 10010\nUYL to LXR: 2671\nUYL to DRV: 6555\nYFC to NIM: 8657\nYFC to CKG: 13085\nYFC to TVS: 12375\nYFC to DLG: 6654\nYFC to PNK: 16348\nYFC to LXR: 8849\nYFC to DRV: 13493\nPNK to NIM: 12386\nPNK to CKG: 3911\nPNK to TVS: 4817\nPNK to DLG: 15613\nPNK to LXR: 8811\nPNK to DRV: 4411\nNIM to CKG: 10904\nNIM to TVS: 11413\nNIM to DLG: 14189\nNIM to LXR: 4688\nNIM to DRV: 8928\nCKG to TVS: 1533\nCKG to DLG: 12995\nCKG to LXR: 7291\nCKG to DRV: 4676\nLXR to TVS: 8088\nLXR to DLG: 14477\nLXR to DRV: 5322\nDRV to TVS: 6209\nDRV to DLG: 17518\nTVS to DLG: 12000\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, UPN, AFL, BES, CKD, KXU, HLA, PWM, FRU\n- Travel distances (in kilometers) between each pair of airports:\nPAC to CKD: 8867\nPAC to FRU: 14464\nPAC to BES: 9896\nPAC to PWM: 4521\nPAC to AFL: 6141\nPAC to HLA: 14593\nPAC to KXU: 11897\nPAC to UPN: 6818\nUPN to CKD: 6649\nUPN to FRU: 15030\nUPN to BES: 11461\nUPN to PWM: 6530\nUPN to AFL: 11830\nUPN to HLA: 19984\nUPN to KXU: 9278\nAFL to CKD: 13475\nAFL to FRU: 15503\nAFL to BES: 10272\nAFL to PWM: 8257\nAFL to HLA: 10450\nAFL to KXU: 12718\nBES to CKD: 11009\nBES to FRU: 5927\nBES to PWM: 6318\nBES to HLA: 10285\nBES to KXU: 16165\nCKD to FRU: 14962\nCKD to PWM: 6553\nCKD to HLA: 20154\nCKD to KXU: 9862\nKXU to FRU: 15439\nKXU to PWM: 11234\nKXU to HLA: 18570\nHLA to FRU: 9840\nHLA to PWM: 14308\nPWM to FRU: 10836\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 71187,
"style": "rule"
}
|
{
"exact_answer": 71187,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAC\", \"id\": 0}, {\"name\": \"UPN\", \"id\": 1}, {\"name\": \"AFL\", \"id\": 2}, {\"name\": \"BES\", \"id\": 3}, {\"name\": \"CKD\", \"id\": 4}, {\"name\": \"KXU\", \"id\": 5}, {\"name\": \"HLA\", \"id\": 6}, {\"name\": \"PWM\", \"id\": 7}, {\"name\": \"FRU\", \"id\": 8}], \"links\": [{\"weight\": 8867, \"source\": 0, \"target\": 4}, {\"weight\": 14464, \"source\": 0, \"target\": 8}, {\"weight\": 9896, \"source\": 0, \"target\": 3}, {\"weight\": 4521, \"source\": 0, \"target\": 7}, {\"weight\": 6141, \"source\": 0, \"target\": 2}, {\"weight\": 14593, \"source\": 0, \"target\": 6}, {\"weight\": 11897, \"source\": 0, \"target\": 5}, {\"weight\": 6818, \"source\": 0, \"target\": 1}, {\"weight\": 6649, \"source\": 1, \"target\": 4}, {\"weight\": 15030, \"source\": 1, \"target\": 8}, {\"weight\": 11461, \"source\": 1, \"target\": 3}, {\"weight\": 6530, \"source\": 1, \"target\": 7}, {\"weight\": 11830, \"source\": 1, \"target\": 2}, {\"weight\": 19984, \"source\": 1, \"target\": 6}, {\"weight\": 9278, \"source\": 1, \"target\": 5}, {\"weight\": 13475, \"source\": 2, \"target\": 4}, {\"weight\": 15503, \"source\": 2, \"target\": 8}, {\"weight\": 10272, \"source\": 2, \"target\": 3}, {\"weight\": 8257, \"source\": 2, \"target\": 7}, {\"weight\": 10450, \"source\": 2, \"target\": 6}, {\"weight\": 12718, \"source\": 2, \"target\": 5}, {\"weight\": 11009, \"source\": 3, \"target\": 4}, {\"weight\": 5927, \"source\": 3, \"target\": 8}, {\"weight\": 6318, \"source\": 3, \"target\": 7}, {\"weight\": 10285, \"source\": 3, \"target\": 6}, {\"weight\": 16165, \"source\": 3, \"target\": 5}, {\"weight\": 14962, \"source\": 4, \"target\": 8}, {\"weight\": 6553, \"source\": 4, \"target\": 7}, {\"weight\": 20154, \"source\": 4, \"target\": 6}, {\"weight\": 9862, \"source\": 4, \"target\": 5}, {\"weight\": 15439, \"source\": 5, \"target\": 8}, {\"weight\": 11234, \"source\": 5, \"target\": 7}, {\"weight\": 18570, \"source\": 5, \"target\": 6}, {\"weight\": 9840, \"source\": 6, \"target\": 8}, {\"weight\": 14308, \"source\": 6, \"target\": 7}, {\"weight\": 10836, \"source\": 7, \"target\": 8}]}",
"id": 7,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, UPN, AFL, BES, CKD, KXU, HLA, PWM, FRU\n- Travel distances (in kilometers) between each pair of airports:\nPAC to CKD: 8867\nPAC to FRU: 14464\nPAC to BES: 9896\nPAC to PWM: 4521\nPAC to AFL: 6141\nPAC to HLA: 14593\nPAC to KXU: 11897\nPAC to UPN: 6818\nUPN to CKD: 6649\nUPN to FRU: 15030\nUPN to BES: 11461\nUPN to PWM: 6530\nUPN to AFL: 11830\nUPN to HLA: 19984\nUPN to KXU: 9278\nAFL to CKD: 13475\nAFL to FRU: 15503\nAFL to BES: 10272\nAFL to PWM: 8257\nAFL to HLA: 10450\nAFL to KXU: 12718\nBES to CKD: 11009\nBES to FRU: 5927\nBES to PWM: 6318\nBES to HLA: 10285\nBES to KXU: 16165\nCKD to FRU: 14962\nCKD to PWM: 6553\nCKD to HLA: 20154\nCKD to KXU: 9862\nKXU to FRU: 15439\nKXU to PWM: 11234\nKXU to HLA: 18570\nHLA to FRU: 9840\nHLA to PWM: 14308\nPWM to FRU: 10836\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SCQ, ATM, UMD, MEH, CGQ, VLV, TPE, YGT, GNV\n- Travel distances (in kilometers) between each pair of airports:\nSCQ to TPE: 10869\nSCQ to GNV: 7740\nSCQ to CGQ: 10131\nSCQ to YGT: 8424\nSCQ to VLV: 7792\nSCQ to ATM: 7709\nSCQ to UMD: 4984\nSCQ to MEH: 3759\nATM to TPE: 18267\nATM to GNV: 5235\nATM to CGQ: 17464\nATM to YGT: 9285\nATM to VLV: 3247\nATM to UMD: 12013\nATM to MEH: 11184\nUMD to TPE: 12600\nUMD to GNV: 7798\nUMD to CGQ: 11780\nUMD to YGT: 9373\nUMD to VLV: 10010\nUMD to MEH: 4934\nMEH to TPE: 9698\nMEH to GNV: 8410\nMEH to CGQ: 8843\nMEH to YGT: 9674\nMEH to VLV: 10441\nCGQ to TPE: 2141\nCGQ to GNV: 12700\nCGQ to YGT: 13592\nCGQ to VLV: 15644\nVLV to TPE: 16370\nVLV to GNV: 3088\nVLV to YGT: 7275\nTPE to GNV: 13433\nTPE to YGT: 14549\nYGT to GNV: 4784\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54177,
"style": "rule"
}
|
{
"exact_answer": 54177,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SCQ\", \"id\": 0}, {\"name\": \"ATM\", \"id\": 1}, {\"name\": \"UMD\", \"id\": 2}, {\"name\": \"MEH\", \"id\": 3}, {\"name\": \"CGQ\", \"id\": 4}, {\"name\": \"VLV\", \"id\": 5}, {\"name\": \"TPE\", \"id\": 6}, {\"name\": \"YGT\", \"id\": 7}, {\"name\": \"GNV\", \"id\": 8}], \"links\": [{\"weight\": 10869, \"source\": 0, \"target\": 6}, {\"weight\": 7740, \"source\": 0, \"target\": 8}, {\"weight\": 10131, \"source\": 0, \"target\": 4}, {\"weight\": 8424, \"source\": 0, \"target\": 7}, {\"weight\": 7792, \"source\": 0, \"target\": 5}, {\"weight\": 7709, \"source\": 0, \"target\": 1}, {\"weight\": 4984, \"source\": 0, \"target\": 2}, {\"weight\": 3759, \"source\": 0, \"target\": 3}, {\"weight\": 18267, \"source\": 1, \"target\": 6}, {\"weight\": 5235, \"source\": 1, \"target\": 8}, {\"weight\": 17464, \"source\": 1, \"target\": 4}, {\"weight\": 9285, \"source\": 1, \"target\": 7}, {\"weight\": 3247, \"source\": 1, \"target\": 5}, {\"weight\": 12013, \"source\": 1, \"target\": 2}, {\"weight\": 11184, \"source\": 1, \"target\": 3}, {\"weight\": 12600, \"source\": 2, \"target\": 6}, {\"weight\": 7798, \"source\": 2, \"target\": 8}, {\"weight\": 11780, \"source\": 2, \"target\": 4}, {\"weight\": 9373, \"source\": 2, \"target\": 7}, {\"weight\": 10010, \"source\": 2, \"target\": 5}, {\"weight\": 4934, \"source\": 2, \"target\": 3}, {\"weight\": 9698, \"source\": 3, \"target\": 6}, {\"weight\": 8410, \"source\": 3, \"target\": 8}, {\"weight\": 8843, \"source\": 3, \"target\": 4}, {\"weight\": 9674, \"source\": 3, \"target\": 7}, {\"weight\": 10441, \"source\": 3, \"target\": 5}, {\"weight\": 2141, \"source\": 4, \"target\": 6}, {\"weight\": 12700, \"source\": 4, \"target\": 8}, {\"weight\": 13592, \"source\": 4, \"target\": 7}, {\"weight\": 15644, \"source\": 4, \"target\": 5}, {\"weight\": 16370, \"source\": 5, \"target\": 6}, {\"weight\": 3088, \"source\": 5, \"target\": 8}, {\"weight\": 7275, \"source\": 5, \"target\": 7}, {\"weight\": 13433, \"source\": 6, \"target\": 8}, {\"weight\": 14549, \"source\": 6, \"target\": 7}, {\"weight\": 4784, \"source\": 7, \"target\": 8}]}",
"id": 8,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SCQ, ATM, UMD, MEH, CGQ, VLV, TPE, YGT, GNV\n- Travel distances (in kilometers) between each pair of airports:\nSCQ to TPE: 10869\nSCQ to GNV: 7740\nSCQ to CGQ: 10131\nSCQ to YGT: 8424\nSCQ to VLV: 7792\nSCQ to ATM: 7709\nSCQ to UMD: 4984\nSCQ to MEH: 3759\nATM to TPE: 18267\nATM to GNV: 5235\nATM to CGQ: 17464\nATM to YGT: 9285\nATM to VLV: 3247\nATM to UMD: 12013\nATM to MEH: 11184\nUMD to TPE: 12600\nUMD to GNV: 7798\nUMD to CGQ: 11780\nUMD to YGT: 9373\nUMD to VLV: 10010\nUMD to MEH: 4934\nMEH to TPE: 9698\nMEH to GNV: 8410\nMEH to CGQ: 8843\nMEH to YGT: 9674\nMEH to VLV: 10441\nCGQ to TPE: 2141\nCGQ to GNV: 12700\nCGQ to YGT: 13592\nCGQ to VLV: 15644\nVLV to TPE: 16370\nVLV to GNV: 3088\nVLV to YGT: 7275\nTPE to GNV: 13433\nTPE to YGT: 14549\nYGT to GNV: 4784\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTL, VSA, TBS, HDM, RGI, JAI, RMF, JKR, YSG\n- Travel distances (in kilometers) between each pair of airports:\nKTL to RMF: 4930\nKTL to VSA: 15726\nKTL to JAI: 5953\nKTL to TBS: 5768\nKTL to YSG: 15629\nKTL to HDM: 6195\nKTL to RGI: 19232\nKTL to JKR: 6964\nVSA to RMF: 12607\nVSA to JAI: 15100\nVSA to TBS: 12175\nVSA to YSG: 5547\nVSA to HDM: 14884\nVSA to RGI: 10133\nVSA to JKR: 15805\nTBS to RMF: 2382\nTBS to JAI: 3473\nTBS to YSG: 11000\nTBS to HDM: 3084\nTBS to RGI: 17804\nTBS to JKR: 4178\nHDM to RMF: 4380\nHDM to JAI: 3114\nHDM to YSG: 13994\nHDM to RGI: 17893\nHDM to JKR: 3819\nRGI to RMF: 19787\nRGI to JAI: 15939\nRGI to YSG: 10364\nRGI to JKR: 15139\nJAI to RMF: 5050\nJAI to YSG: 14032\nJAI to JKR: 1169\nRMF to YSG: 12032\nRMF to JKR: 5949\nJKR to YSG: 13830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59609,
"style": "rule"
}
|
{
"exact_answer": 59609,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KTL\", \"id\": 0}, {\"name\": \"VSA\", \"id\": 1}, {\"name\": \"TBS\", \"id\": 2}, {\"name\": \"HDM\", \"id\": 3}, {\"name\": \"RGI\", \"id\": 4}, {\"name\": \"JAI\", \"id\": 5}, {\"name\": \"RMF\", \"id\": 6}, {\"name\": \"JKR\", \"id\": 7}, {\"name\": \"YSG\", \"id\": 8}], \"links\": [{\"weight\": 4930, \"source\": 0, \"target\": 6}, {\"weight\": 15726, \"source\": 0, \"target\": 1}, {\"weight\": 5953, \"source\": 0, \"target\": 5}, {\"weight\": 5768, \"source\": 0, \"target\": 2}, {\"weight\": 15629, \"source\": 0, \"target\": 8}, {\"weight\": 6195, \"source\": 0, \"target\": 3}, {\"weight\": 19232, \"source\": 0, \"target\": 4}, {\"weight\": 6964, \"source\": 0, \"target\": 7}, {\"weight\": 12607, \"source\": 1, \"target\": 6}, {\"weight\": 15100, \"source\": 1, \"target\": 5}, {\"weight\": 12175, \"source\": 1, \"target\": 2}, {\"weight\": 5547, \"source\": 1, \"target\": 8}, {\"weight\": 14884, \"source\": 1, \"target\": 3}, {\"weight\": 10133, \"source\": 1, \"target\": 4}, {\"weight\": 15805, \"source\": 1, \"target\": 7}, {\"weight\": 2382, \"source\": 2, \"target\": 6}, {\"weight\": 3473, \"source\": 2, \"target\": 5}, {\"weight\": 11000, \"source\": 2, \"target\": 8}, {\"weight\": 3084, \"source\": 2, \"target\": 3}, {\"weight\": 17804, \"source\": 2, \"target\": 4}, {\"weight\": 4178, \"source\": 2, \"target\": 7}, {\"weight\": 4380, \"source\": 3, \"target\": 6}, {\"weight\": 3114, \"source\": 3, \"target\": 5}, {\"weight\": 13994, \"source\": 3, \"target\": 8}, {\"weight\": 17893, \"source\": 3, \"target\": 4}, {\"weight\": 3819, \"source\": 3, \"target\": 7}, {\"weight\": 19787, \"source\": 4, \"target\": 6}, {\"weight\": 15939, \"source\": 4, \"target\": 5}, {\"weight\": 10364, \"source\": 4, \"target\": 8}, {\"weight\": 15139, \"source\": 4, \"target\": 7}, {\"weight\": 5050, \"source\": 5, \"target\": 6}, {\"weight\": 14032, \"source\": 5, \"target\": 8}, {\"weight\": 1169, \"source\": 5, \"target\": 7}, {\"weight\": 12032, \"source\": 6, \"target\": 8}, {\"weight\": 5949, \"source\": 6, \"target\": 7}, {\"weight\": 13830, \"source\": 7, \"target\": 8}]}",
"id": 9,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTL, VSA, TBS, HDM, RGI, JAI, RMF, JKR, YSG\n- Travel distances (in kilometers) between each pair of airports:\nKTL to RMF: 4930\nKTL to VSA: 15726\nKTL to JAI: 5953\nKTL to TBS: 5768\nKTL to YSG: 15629\nKTL to HDM: 6195\nKTL to RGI: 19232\nKTL to JKR: 6964\nVSA to RMF: 12607\nVSA to JAI: 15100\nVSA to TBS: 12175\nVSA to YSG: 5547\nVSA to HDM: 14884\nVSA to RGI: 10133\nVSA to JKR: 15805\nTBS to RMF: 2382\nTBS to JAI: 3473\nTBS to YSG: 11000\nTBS to HDM: 3084\nTBS to RGI: 17804\nTBS to JKR: 4178\nHDM to RMF: 4380\nHDM to JAI: 3114\nHDM to YSG: 13994\nHDM to RGI: 17893\nHDM to JKR: 3819\nRGI to RMF: 19787\nRGI to JAI: 15939\nRGI to YSG: 10364\nRGI to JKR: 15139\nJAI to RMF: 5050\nJAI to YSG: 14032\nJAI to JKR: 1169\nRMF to YSG: 12032\nRMF to JKR: 5949\nJKR to YSG: 13830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JQE, OGG, LMA, MWA, YVR, UAQ, YZZ, BCV, TCB\n- Travel distances (in kilometers) between each pair of airports:\nJQE to TCB: 2868\nJQE to YVR: 6419\nJQE to YZZ: 6824\nJQE to LMA: 8961\nJQE to MWA: 4285\nJQE to BCV: 1766\nJQE to OGG: 9069\nJQE to UAQ: 6117\nOGG to YVR: 4301\nOGG to TCB: 8011\nOGG to YZZ: 4706\nOGG to LMA: 5290\nOGG to MWA: 6705\nOGG to BCV: 7554\nOGG to UAQ: 12917\nLMA to TCB: 7348\nLMA to YVR: 2902\nLMA to YZZ: 3307\nLMA to MWA: 5580\nLMA to BCV: 7325\nLMA to UAQ: 13431\nMWA to TCB: 2148\nMWA to YVR: 3110\nMWA to YZZ: 3515\nMWA to BCV: 2633\nMWA to UAQ: 8787\nYVR to YZZ: 405\nYVR to TCB: 4811\nYVR to BCV: 4783\nYVR to UAQ: 10880\nUAQ to TCB: 7324\nUAQ to YZZ: 11285\nUAQ to BCV: 6391\nYZZ to TCB: 5216\nYZZ to BCV: 5188\nBCV to TCB: 1642\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 36702,
"style": "rule"
}
|
{
"exact_answer": 36702,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JQE\", \"id\": 0}, {\"name\": \"OGG\", \"id\": 1}, {\"name\": \"LMA\", \"id\": 2}, {\"name\": \"MWA\", \"id\": 3}, {\"name\": \"YVR\", \"id\": 4}, {\"name\": \"UAQ\", \"id\": 5}, {\"name\": \"YZZ\", \"id\": 6}, {\"name\": \"BCV\", \"id\": 7}, {\"name\": \"TCB\", \"id\": 8}], \"links\": [{\"weight\": 2868, \"source\": 0, \"target\": 8}, {\"weight\": 6419, \"source\": 0, \"target\": 4}, {\"weight\": 6824, \"source\": 0, \"target\": 6}, {\"weight\": 8961, \"source\": 0, \"target\": 2}, {\"weight\": 4285, \"source\": 0, \"target\": 3}, {\"weight\": 1766, \"source\": 0, \"target\": 7}, {\"weight\": 9069, \"source\": 0, \"target\": 1}, {\"weight\": 6117, \"source\": 0, \"target\": 5}, {\"weight\": 4301, \"source\": 1, \"target\": 4}, {\"weight\": 8011, \"source\": 1, \"target\": 8}, {\"weight\": 4706, \"source\": 1, \"target\": 6}, {\"weight\": 5290, \"source\": 1, \"target\": 2}, {\"weight\": 6705, \"source\": 1, \"target\": 3}, {\"weight\": 7554, \"source\": 1, \"target\": 7}, {\"weight\": 12917, \"source\": 1, \"target\": 5}, {\"weight\": 7348, \"source\": 2, \"target\": 8}, {\"weight\": 2902, \"source\": 2, \"target\": 4}, {\"weight\": 3307, \"source\": 2, \"target\": 6}, {\"weight\": 5580, \"source\": 2, \"target\": 3}, {\"weight\": 7325, \"source\": 2, \"target\": 7}, {\"weight\": 13431, \"source\": 2, \"target\": 5}, {\"weight\": 2148, \"source\": 3, \"target\": 8}, {\"weight\": 3110, \"source\": 3, \"target\": 4}, {\"weight\": 3515, \"source\": 3, \"target\": 6}, {\"weight\": 2633, \"source\": 3, \"target\": 7}, {\"weight\": 8787, \"source\": 3, \"target\": 5}, {\"weight\": 405, \"source\": 4, \"target\": 6}, {\"weight\": 4811, \"source\": 4, \"target\": 8}, {\"weight\": 4783, \"source\": 4, \"target\": 7}, {\"weight\": 10880, \"source\": 4, \"target\": 5}, {\"weight\": 7324, \"source\": 5, \"target\": 8}, {\"weight\": 11285, \"source\": 5, \"target\": 6}, {\"weight\": 6391, \"source\": 5, \"target\": 7}, {\"weight\": 5216, \"source\": 6, \"target\": 8}, {\"weight\": 5188, \"source\": 6, \"target\": 7}, {\"weight\": 1642, \"source\": 7, \"target\": 8}]}",
"id": 10,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JQE, OGG, LMA, MWA, YVR, UAQ, YZZ, BCV, TCB\n- Travel distances (in kilometers) between each pair of airports:\nJQE to TCB: 2868\nJQE to YVR: 6419\nJQE to YZZ: 6824\nJQE to LMA: 8961\nJQE to MWA: 4285\nJQE to BCV: 1766\nJQE to OGG: 9069\nJQE to UAQ: 6117\nOGG to YVR: 4301\nOGG to TCB: 8011\nOGG to YZZ: 4706\nOGG to LMA: 5290\nOGG to MWA: 6705\nOGG to BCV: 7554\nOGG to UAQ: 12917\nLMA to TCB: 7348\nLMA to YVR: 2902\nLMA to YZZ: 3307\nLMA to MWA: 5580\nLMA to BCV: 7325\nLMA to UAQ: 13431\nMWA to TCB: 2148\nMWA to YVR: 3110\nMWA to YZZ: 3515\nMWA to BCV: 2633\nMWA to UAQ: 8787\nYVR to YZZ: 405\nYVR to TCB: 4811\nYVR to BCV: 4783\nYVR to UAQ: 10880\nUAQ to TCB: 7324\nUAQ to YZZ: 11285\nUAQ to BCV: 6391\nYZZ to TCB: 5216\nYZZ to BCV: 5188\nBCV to TCB: 1642\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOJ, MRS, KTW, HGH, POZ, INZ, GAM, ORU, JCK\n- Travel distances (in kilometers) between each pair of airports:\nSOJ to HGH: 8837\nSOJ to KTW: 2277\nSOJ to POZ: 2158\nSOJ to GAM: 11801\nSOJ to MRS: 3098\nSOJ to ORU: 12933\nSOJ to INZ: 4916\nSOJ to JCK: 15015\nMRS to HGH: 9609\nMRS to KTW: 1524\nMRS to POZ: 1322\nMRS to GAM: 12194\nMRS to ORU: 10147\nMRS to INZ: 1819\nMRS to JCK: 15490\nKTW to HGH: 8321\nKTW to POZ: 511\nKTW to GAM: 12172\nKTW to ORU: 11448\nKTW to INZ: 3134\nKTW to JCK: 14361\nHGH to POZ: 8374\nHGH to GAM: 12854\nHGH to ORU: 18647\nHGH to INZ: 11287\nHGH to JCK: 6462\nPOZ to GAM: 11905\nPOZ to ORU: 11404\nPOZ to INZ: 3102\nPOZ to JCK: 14414\nINZ to GAM: 13883\nINZ to ORU: 11087\nINZ to JCK: 16814\nGAM to ORU: 12802\nGAM to JCK: 15008\nORU to JCK: 16015\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60125,
"style": "rule"
}
|
{
"exact_answer": 60125,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SOJ\", \"id\": 0}, {\"name\": \"MRS\", \"id\": 1}, {\"name\": \"KTW\", \"id\": 2}, {\"name\": \"HGH\", \"id\": 3}, {\"name\": \"POZ\", \"id\": 4}, {\"name\": \"INZ\", \"id\": 5}, {\"name\": \"GAM\", \"id\": 6}, {\"name\": \"ORU\", \"id\": 7}, {\"name\": \"JCK\", \"id\": 8}], \"links\": [{\"weight\": 8837, \"source\": 0, \"target\": 3}, {\"weight\": 2277, \"source\": 0, \"target\": 2}, {\"weight\": 2158, \"source\": 0, \"target\": 4}, {\"weight\": 11801, \"source\": 0, \"target\": 6}, {\"weight\": 3098, \"source\": 0, \"target\": 1}, {\"weight\": 12933, \"source\": 0, \"target\": 7}, {\"weight\": 4916, \"source\": 0, \"target\": 5}, {\"weight\": 15015, \"source\": 0, \"target\": 8}, {\"weight\": 9609, \"source\": 1, \"target\": 3}, {\"weight\": 1524, \"source\": 1, \"target\": 2}, {\"weight\": 1322, \"source\": 1, \"target\": 4}, {\"weight\": 12194, \"source\": 1, \"target\": 6}, {\"weight\": 10147, \"source\": 1, \"target\": 7}, {\"weight\": 1819, \"source\": 1, \"target\": 5}, {\"weight\": 15490, \"source\": 1, \"target\": 8}, {\"weight\": 8321, \"source\": 2, \"target\": 3}, {\"weight\": 511, \"source\": 2, \"target\": 4}, {\"weight\": 12172, \"source\": 2, \"target\": 6}, {\"weight\": 11448, \"source\": 2, \"target\": 7}, {\"weight\": 3134, \"source\": 2, \"target\": 5}, {\"weight\": 14361, \"source\": 2, \"target\": 8}, {\"weight\": 8374, \"source\": 3, \"target\": 4}, {\"weight\": 12854, \"source\": 3, \"target\": 6}, {\"weight\": 18647, \"source\": 3, \"target\": 7}, {\"weight\": 11287, \"source\": 3, \"target\": 5}, {\"weight\": 6462, \"source\": 3, \"target\": 8}, {\"weight\": 11905, \"source\": 4, \"target\": 6}, {\"weight\": 11404, \"source\": 4, \"target\": 7}, {\"weight\": 3102, \"source\": 4, \"target\": 5}, {\"weight\": 14414, \"source\": 4, \"target\": 8}, {\"weight\": 13883, \"source\": 5, \"target\": 6}, {\"weight\": 11087, \"source\": 5, \"target\": 7}, {\"weight\": 16814, \"source\": 5, \"target\": 8}, {\"weight\": 12802, \"source\": 6, \"target\": 7}, {\"weight\": 15008, \"source\": 6, \"target\": 8}, {\"weight\": 16015, \"source\": 7, \"target\": 8}]}",
"id": 11,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOJ, MRS, KTW, HGH, POZ, INZ, GAM, ORU, JCK\n- Travel distances (in kilometers) between each pair of airports:\nSOJ to HGH: 8837\nSOJ to KTW: 2277\nSOJ to POZ: 2158\nSOJ to GAM: 11801\nSOJ to MRS: 3098\nSOJ to ORU: 12933\nSOJ to INZ: 4916\nSOJ to JCK: 15015\nMRS to HGH: 9609\nMRS to KTW: 1524\nMRS to POZ: 1322\nMRS to GAM: 12194\nMRS to ORU: 10147\nMRS to INZ: 1819\nMRS to JCK: 15490\nKTW to HGH: 8321\nKTW to POZ: 511\nKTW to GAM: 12172\nKTW to ORU: 11448\nKTW to INZ: 3134\nKTW to JCK: 14361\nHGH to POZ: 8374\nHGH to GAM: 12854\nHGH to ORU: 18647\nHGH to INZ: 11287\nHGH to JCK: 6462\nPOZ to GAM: 11905\nPOZ to ORU: 11404\nPOZ to INZ: 3102\nPOZ to JCK: 14414\nINZ to GAM: 13883\nINZ to ORU: 11087\nINZ to JCK: 16814\nGAM to ORU: 12802\nGAM to JCK: 15008\nORU to JCK: 16015\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SON, PLX, YQU, HNH, SKO, OAJ, CJB, SZZ, SDP\n- Travel distances (in kilometers) between each pair of airports:\nSON to CJB: 11057\nSON to OAJ: 13844\nSON to YQU: 11906\nSON to SDP: 11710\nSON to PLX: 12950\nSON to SZZ: 16732\nSON to HNH: 11787\nSON to SKO: 18789\nPLX to CJB: 4408\nPLX to OAJ: 11430\nPLX to YQU: 11808\nPLX to SDP: 15515\nPLX to SZZ: 4773\nPLX to HNH: 13812\nPLX to SKO: 9012\nYQU to CJB: 14822\nYQU to OAJ: 3947\nYQU to SDP: 4500\nYQU to SZZ: 7731\nYQU to HNH: 2797\nYQU to SKO: 12473\nHNH to CJB: 15573\nHNH to OAJ: 5482\nHNH to SDP: 1865\nHNH to SZZ: 9735\nHNH to SKO: 14480\nSKO to CJB: 8380\nSKO to OAJ: 10235\nSKO to SDP: 15790\nSKO to SZZ: 6384\nOAJ to CJB: 14316\nOAJ to SDP: 6732\nOAJ to SZZ: 7287\nCJB to SDP: 17276\nCJB to SZZ: 7257\nSZZ to SDP: 11438\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57176,
"style": "rule"
}
|
{
"exact_answer": 57176,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SON\", \"id\": 0}, {\"name\": \"PLX\", \"id\": 1}, {\"name\": \"YQU\", \"id\": 2}, {\"name\": \"HNH\", \"id\": 3}, {\"name\": \"SKO\", \"id\": 4}, {\"name\": \"OAJ\", \"id\": 5}, {\"name\": \"CJB\", \"id\": 6}, {\"name\": \"SZZ\", \"id\": 7}, {\"name\": \"SDP\", \"id\": 8}], \"links\": [{\"weight\": 11057, \"source\": 0, \"target\": 6}, {\"weight\": 13844, \"source\": 0, \"target\": 5}, {\"weight\": 11906, \"source\": 0, \"target\": 2}, {\"weight\": 11710, \"source\": 0, \"target\": 8}, {\"weight\": 12950, \"source\": 0, \"target\": 1}, {\"weight\": 16732, \"source\": 0, \"target\": 7}, {\"weight\": 11787, \"source\": 0, \"target\": 3}, {\"weight\": 18789, \"source\": 0, \"target\": 4}, {\"weight\": 4408, \"source\": 1, \"target\": 6}, {\"weight\": 11430, \"source\": 1, \"target\": 5}, {\"weight\": 11808, \"source\": 1, \"target\": 2}, {\"weight\": 15515, \"source\": 1, \"target\": 8}, {\"weight\": 4773, \"source\": 1, \"target\": 7}, {\"weight\": 13812, \"source\": 1, \"target\": 3}, {\"weight\": 9012, \"source\": 1, \"target\": 4}, {\"weight\": 14822, \"source\": 2, \"target\": 6}, {\"weight\": 3947, \"source\": 2, \"target\": 5}, {\"weight\": 4500, \"source\": 2, \"target\": 8}, {\"weight\": 7731, \"source\": 2, \"target\": 7}, {\"weight\": 2797, \"source\": 2, \"target\": 3}, {\"weight\": 12473, \"source\": 2, \"target\": 4}, {\"weight\": 15573, \"source\": 3, \"target\": 6}, {\"weight\": 5482, \"source\": 3, \"target\": 5}, {\"weight\": 1865, \"source\": 3, \"target\": 8}, {\"weight\": 9735, \"source\": 3, \"target\": 7}, {\"weight\": 14480, \"source\": 3, \"target\": 4}, {\"weight\": 8380, \"source\": 4, \"target\": 6}, {\"weight\": 10235, \"source\": 4, \"target\": 5}, {\"weight\": 15790, \"source\": 4, \"target\": 8}, {\"weight\": 6384, \"source\": 4, \"target\": 7}, {\"weight\": 14316, \"source\": 5, \"target\": 6}, {\"weight\": 6732, \"source\": 5, \"target\": 8}, {\"weight\": 7287, \"source\": 5, \"target\": 7}, {\"weight\": 17276, \"source\": 6, \"target\": 8}, {\"weight\": 7257, \"source\": 6, \"target\": 7}, {\"weight\": 11438, \"source\": 7, \"target\": 8}]}",
"id": 12,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SON, PLX, YQU, HNH, SKO, OAJ, CJB, SZZ, SDP\n- Travel distances (in kilometers) between each pair of airports:\nSON to CJB: 11057\nSON to OAJ: 13844\nSON to YQU: 11906\nSON to SDP: 11710\nSON to PLX: 12950\nSON to SZZ: 16732\nSON to HNH: 11787\nSON to SKO: 18789\nPLX to CJB: 4408\nPLX to OAJ: 11430\nPLX to YQU: 11808\nPLX to SDP: 15515\nPLX to SZZ: 4773\nPLX to HNH: 13812\nPLX to SKO: 9012\nYQU to CJB: 14822\nYQU to OAJ: 3947\nYQU to SDP: 4500\nYQU to SZZ: 7731\nYQU to HNH: 2797\nYQU to SKO: 12473\nHNH to CJB: 15573\nHNH to OAJ: 5482\nHNH to SDP: 1865\nHNH to SZZ: 9735\nHNH to SKO: 14480\nSKO to CJB: 8380\nSKO to OAJ: 10235\nSKO to SDP: 15790\nSKO to SZZ: 6384\nOAJ to CJB: 14316\nOAJ to SDP: 6732\nOAJ to SZZ: 7287\nCJB to SDP: 17276\nCJB to SZZ: 7257\nSZZ to SDP: 11438\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISB, UET, QUO, EBL, CFN, YNO, HEL, ACZ, MJD\n- Travel distances (in kilometers) between each pair of airports:\nISB to UET: 691\nISB to HEL: 4694\nISB to CFN: 6627\nISB to EBL: 2671\nISB to ACZ: 1855\nISB to MJD: 851\nISB to QUO: 8313\nISB to YNO: 12504\nUET to HEL: 5198\nUET to CFN: 6831\nUET to EBL: 2885\nUET to ACZ: 1546\nUET to MJD: 883\nUET to QUO: 7700\nUET to YNO: 13195\nQUO to HEL: 6784\nQUO to CFN: 6046\nQUO to EBL: 5817\nQUO to ACZ: 7826\nQUO to MJD: 7895\nQUO to YNO: 11087\nEBL to HEL: 3158\nEBL to CFN: 4510\nEBL to ACZ: 3277\nEBL to MJD: 2869\nEBL to YNO: 11015\nCFN to HEL: 2247\nCFN to ACZ: 6479\nCFN to MJD: 7196\nCFN to YNO: 7003\nYNO to HEL: 8132\nYNO to ACZ: 13023\nYNO to MJD: 13355\nHEL to ACZ: 5042\nHEL to MJD: 5545\nACZ to MJD: 2429\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 37147,
"style": "rule"
}
|
{
"exact_answer": 37147,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ISB\", \"id\": 0}, {\"name\": \"UET\", \"id\": 1}, {\"name\": \"QUO\", \"id\": 2}, {\"name\": \"EBL\", \"id\": 3}, {\"name\": \"CFN\", \"id\": 4}, {\"name\": \"YNO\", \"id\": 5}, {\"name\": \"HEL\", \"id\": 6}, {\"name\": \"ACZ\", \"id\": 7}, {\"name\": \"MJD\", \"id\": 8}], \"links\": [{\"weight\": 691, \"source\": 0, \"target\": 1}, {\"weight\": 4694, \"source\": 0, \"target\": 6}, {\"weight\": 6627, \"source\": 0, \"target\": 4}, {\"weight\": 2671, \"source\": 0, \"target\": 3}, {\"weight\": 1855, \"source\": 0, \"target\": 7}, {\"weight\": 851, \"source\": 0, \"target\": 8}, {\"weight\": 8313, \"source\": 0, \"target\": 2}, {\"weight\": 12504, \"source\": 0, \"target\": 5}, {\"weight\": 5198, \"source\": 1, \"target\": 6}, {\"weight\": 6831, \"source\": 1, \"target\": 4}, {\"weight\": 2885, \"source\": 1, \"target\": 3}, {\"weight\": 1546, \"source\": 1, \"target\": 7}, {\"weight\": 883, \"source\": 1, \"target\": 8}, {\"weight\": 7700, \"source\": 1, \"target\": 2}, {\"weight\": 13195, \"source\": 1, \"target\": 5}, {\"weight\": 6784, \"source\": 2, \"target\": 6}, {\"weight\": 6046, \"source\": 2, \"target\": 4}, {\"weight\": 5817, \"source\": 2, \"target\": 3}, {\"weight\": 7826, \"source\": 2, \"target\": 7}, {\"weight\": 7895, \"source\": 2, \"target\": 8}, {\"weight\": 11087, \"source\": 2, \"target\": 5}, {\"weight\": 3158, \"source\": 3, \"target\": 6}, {\"weight\": 4510, \"source\": 3, \"target\": 4}, {\"weight\": 3277, \"source\": 3, \"target\": 7}, {\"weight\": 2869, \"source\": 3, \"target\": 8}, {\"weight\": 11015, \"source\": 3, \"target\": 5}, {\"weight\": 2247, \"source\": 4, \"target\": 6}, {\"weight\": 6479, \"source\": 4, \"target\": 7}, {\"weight\": 7196, \"source\": 4, \"target\": 8}, {\"weight\": 7003, \"source\": 4, \"target\": 5}, {\"weight\": 8132, \"source\": 5, \"target\": 6}, {\"weight\": 13023, \"source\": 5, \"target\": 7}, {\"weight\": 13355, \"source\": 5, \"target\": 8}, {\"weight\": 5042, \"source\": 6, \"target\": 7}, {\"weight\": 5545, \"source\": 6, \"target\": 8}, {\"weight\": 2429, \"source\": 7, \"target\": 8}]}",
"id": 13,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISB, UET, QUO, EBL, CFN, YNO, HEL, ACZ, MJD\n- Travel distances (in kilometers) between each pair of airports:\nISB to UET: 691\nISB to HEL: 4694\nISB to CFN: 6627\nISB to EBL: 2671\nISB to ACZ: 1855\nISB to MJD: 851\nISB to QUO: 8313\nISB to YNO: 12504\nUET to HEL: 5198\nUET to CFN: 6831\nUET to EBL: 2885\nUET to ACZ: 1546\nUET to MJD: 883\nUET to QUO: 7700\nUET to YNO: 13195\nQUO to HEL: 6784\nQUO to CFN: 6046\nQUO to EBL: 5817\nQUO to ACZ: 7826\nQUO to MJD: 7895\nQUO to YNO: 11087\nEBL to HEL: 3158\nEBL to CFN: 4510\nEBL to ACZ: 3277\nEBL to MJD: 2869\nEBL to YNO: 11015\nCFN to HEL: 2247\nCFN to ACZ: 6479\nCFN to MJD: 7196\nCFN to YNO: 7003\nYNO to HEL: 8132\nYNO to ACZ: 13023\nYNO to MJD: 13355\nHEL to ACZ: 5042\nHEL to MJD: 5545\nACZ to MJD: 2429\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LUK, VLC, WTK, SAX, BZV, BDU, GGG, IAR\n- Travel distances (in kilometers) between each pair of airports:\nBXR to WTK: 16253\nBXR to SAX: 14955\nBXR to IAR: 5108\nBXR to GGG: 13369\nBXR to VLC: 5524\nBXR to BZV: 7219\nBXR to BDU: 6428\nBXR to LUK: 12348\nLUK to WTK: 5967\nLUK to SAX: 4060\nLUK to IAR: 8654\nLUK to GGG: 1924\nLUK to VLC: 7444\nLUK to BZV: 11635\nLUK to BDU: 8113\nVLC to WTK: 12241\nVLC to SAX: 9491\nVLC to IAR: 3731\nVLC to GGG: 8483\nVLC to BZV: 5736\nVLC to BDU: 3483\nWTK to SAX: 9413\nWTK to IAR: 12456\nWTK to GGG: 6075\nWTK to BZV: 16883\nWTK to BDU: 11915\nSAX to IAR: 11778\nSAX to GGG: 3797\nSAX to BZV: 13261\nSAX to BDU: 11169\nBZV to IAR: 7958\nBZV to GGG: 12585\nBZV to BDU: 8419\nBDU to IAR: 2729\nBDU to GGG: 9147\nGGG to IAR: 9683\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53886,
"style": "rule"
}
|
{
"exact_answer": 53886,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BXR\", \"id\": 0}, {\"name\": \"LUK\", \"id\": 1}, {\"name\": \"VLC\", \"id\": 2}, {\"name\": \"WTK\", \"id\": 3}, {\"name\": \"SAX\", \"id\": 4}, {\"name\": \"BZV\", \"id\": 5}, {\"name\": \"BDU\", \"id\": 6}, {\"name\": \"GGG\", \"id\": 7}, {\"name\": \"IAR\", \"id\": 8}], \"links\": [{\"weight\": 16253, \"source\": 0, \"target\": 3}, {\"weight\": 14955, \"source\": 0, \"target\": 4}, {\"weight\": 5108, \"source\": 0, \"target\": 8}, {\"weight\": 13369, \"source\": 0, \"target\": 7}, {\"weight\": 5524, \"source\": 0, \"target\": 2}, {\"weight\": 7219, \"source\": 0, \"target\": 5}, {\"weight\": 6428, \"source\": 0, \"target\": 6}, {\"weight\": 12348, \"source\": 0, \"target\": 1}, {\"weight\": 5967, \"source\": 1, \"target\": 3}, {\"weight\": 4060, \"source\": 1, \"target\": 4}, {\"weight\": 8654, \"source\": 1, \"target\": 8}, {\"weight\": 1924, \"source\": 1, \"target\": 7}, {\"weight\": 7444, \"source\": 1, \"target\": 2}, {\"weight\": 11635, \"source\": 1, \"target\": 5}, {\"weight\": 8113, \"source\": 1, \"target\": 6}, {\"weight\": 12241, \"source\": 2, \"target\": 3}, {\"weight\": 9491, \"source\": 2, \"target\": 4}, {\"weight\": 3731, \"source\": 2, \"target\": 8}, {\"weight\": 8483, \"source\": 2, \"target\": 7}, {\"weight\": 5736, \"source\": 2, \"target\": 5}, {\"weight\": 3483, \"source\": 2, \"target\": 6}, {\"weight\": 9413, \"source\": 3, \"target\": 4}, {\"weight\": 12456, \"source\": 3, \"target\": 8}, {\"weight\": 6075, \"source\": 3, \"target\": 7}, {\"weight\": 16883, \"source\": 3, \"target\": 5}, {\"weight\": 11915, \"source\": 3, \"target\": 6}, {\"weight\": 11778, \"source\": 4, \"target\": 8}, {\"weight\": 3797, \"source\": 4, \"target\": 7}, {\"weight\": 13261, \"source\": 4, \"target\": 5}, {\"weight\": 11169, \"source\": 4, \"target\": 6}, {\"weight\": 7958, \"source\": 5, \"target\": 8}, {\"weight\": 12585, \"source\": 5, \"target\": 7}, {\"weight\": 8419, \"source\": 5, \"target\": 6}, {\"weight\": 2729, \"source\": 6, \"target\": 8}, {\"weight\": 9147, \"source\": 6, \"target\": 7}, {\"weight\": 9683, \"source\": 7, \"target\": 8}]}",
"id": 14,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LUK, VLC, WTK, SAX, BZV, BDU, GGG, IAR\n- Travel distances (in kilometers) between each pair of airports:\nBXR to WTK: 16253\nBXR to SAX: 14955\nBXR to IAR: 5108\nBXR to GGG: 13369\nBXR to VLC: 5524\nBXR to BZV: 7219\nBXR to BDU: 6428\nBXR to LUK: 12348\nLUK to WTK: 5967\nLUK to SAX: 4060\nLUK to IAR: 8654\nLUK to GGG: 1924\nLUK to VLC: 7444\nLUK to BZV: 11635\nLUK to BDU: 8113\nVLC to WTK: 12241\nVLC to SAX: 9491\nVLC to IAR: 3731\nVLC to GGG: 8483\nVLC to BZV: 5736\nVLC to BDU: 3483\nWTK to SAX: 9413\nWTK to IAR: 12456\nWTK to GGG: 6075\nWTK to BZV: 16883\nWTK to BDU: 11915\nSAX to IAR: 11778\nSAX to GGG: 3797\nSAX to BZV: 13261\nSAX to BDU: 11169\nBZV to IAR: 7958\nBZV to GGG: 12585\nBZV to BDU: 8419\nBDU to IAR: 2729\nBDU to GGG: 9147\nGGG to IAR: 9683\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BNE, SBW, TME, NLK, KKB, RGA, MUR, HRE, AHE\n- Travel distances (in kilometers) between each pair of airports:\nBNE to NLK: 1462\nBNE to KKB: 12481\nBNE to RGA: 14511\nBNE to TME: 16524\nBNE to HRE: 12733\nBNE to SBW: 6142\nBNE to MUR: 6415\nBNE to AHE: 6581\nSBW to KKB: 15138\nSBW to RGA: 20180\nSBW to TME: 19319\nSBW to HRE: 10519\nSBW to MUR: 359\nSBW to NLK: 7604\nSBW to AHE: 12723\nTME to KKB: 9610\nTME to RGA: 7141\nTME to HRE: 13058\nTME to MUR: 19040\nTME to NLK: 15320\nTME to AHE: 13037\nNLK to KKB: 13108\nNLK to RGA: 13307\nNLK to HRE: 13658\nNLK to MUR: 7877\nNLK to AHE: 5682\nKKB to RGA: 15732\nKKB to HRE: 18822\nKKB to MUR: 14859\nKKB to AHE: 9844\nRGA to HRE: 12348\nRGA to MUR: 20453\nRGA to AHE: 11063\nMUR to HRE: 10811\nMUR to AHE: 12996\nHRE to AHE: 18607\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63380,
"style": "rule"
}
|
{
"exact_answer": 63380,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BNE\", \"id\": 0}, {\"name\": \"SBW\", \"id\": 1}, {\"name\": \"TME\", \"id\": 2}, {\"name\": \"NLK\", \"id\": 3}, {\"name\": \"KKB\", \"id\": 4}, {\"name\": \"RGA\", \"id\": 5}, {\"name\": \"MUR\", \"id\": 6}, {\"name\": \"HRE\", \"id\": 7}, {\"name\": \"AHE\", \"id\": 8}], \"links\": [{\"weight\": 1462, \"source\": 0, \"target\": 3}, {\"weight\": 12481, \"source\": 0, \"target\": 4}, {\"weight\": 14511, \"source\": 0, \"target\": 5}, {\"weight\": 16524, \"source\": 0, \"target\": 2}, {\"weight\": 12733, \"source\": 0, \"target\": 7}, {\"weight\": 6142, \"source\": 0, \"target\": 1}, {\"weight\": 6415, \"source\": 0, \"target\": 6}, {\"weight\": 6581, \"source\": 0, \"target\": 8}, {\"weight\": 15138, \"source\": 1, \"target\": 4}, {\"weight\": 20180, \"source\": 1, \"target\": 5}, {\"weight\": 19319, \"source\": 1, \"target\": 2}, {\"weight\": 10519, \"source\": 1, \"target\": 7}, {\"weight\": 359, \"source\": 1, \"target\": 6}, {\"weight\": 7604, \"source\": 1, \"target\": 3}, {\"weight\": 12723, \"source\": 1, \"target\": 8}, {\"weight\": 9610, \"source\": 2, \"target\": 4}, {\"weight\": 7141, \"source\": 2, \"target\": 5}, {\"weight\": 13058, \"source\": 2, \"target\": 7}, {\"weight\": 19040, \"source\": 2, \"target\": 6}, {\"weight\": 15320, \"source\": 2, \"target\": 3}, {\"weight\": 13037, \"source\": 2, \"target\": 8}, {\"weight\": 13108, \"source\": 3, \"target\": 4}, {\"weight\": 13307, \"source\": 3, \"target\": 5}, {\"weight\": 13658, \"source\": 3, \"target\": 7}, {\"weight\": 7877, \"source\": 3, \"target\": 6}, {\"weight\": 5682, \"source\": 3, \"target\": 8}, {\"weight\": 15732, \"source\": 4, \"target\": 5}, {\"weight\": 18822, \"source\": 4, \"target\": 7}, {\"weight\": 14859, \"source\": 4, \"target\": 6}, {\"weight\": 9844, \"source\": 4, \"target\": 8}, {\"weight\": 12348, \"source\": 5, \"target\": 7}, {\"weight\": 20453, \"source\": 5, \"target\": 6}, {\"weight\": 11063, \"source\": 5, \"target\": 8}, {\"weight\": 10811, \"source\": 6, \"target\": 7}, {\"weight\": 12996, \"source\": 6, \"target\": 8}, {\"weight\": 18607, \"source\": 7, \"target\": 8}]}",
"id": 15,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BNE, SBW, TME, NLK, KKB, RGA, MUR, HRE, AHE\n- Travel distances (in kilometers) between each pair of airports:\nBNE to NLK: 1462\nBNE to KKB: 12481\nBNE to RGA: 14511\nBNE to TME: 16524\nBNE to HRE: 12733\nBNE to SBW: 6142\nBNE to MUR: 6415\nBNE to AHE: 6581\nSBW to KKB: 15138\nSBW to RGA: 20180\nSBW to TME: 19319\nSBW to HRE: 10519\nSBW to MUR: 359\nSBW to NLK: 7604\nSBW to AHE: 12723\nTME to KKB: 9610\nTME to RGA: 7141\nTME to HRE: 13058\nTME to MUR: 19040\nTME to NLK: 15320\nTME to AHE: 13037\nNLK to KKB: 13108\nNLK to RGA: 13307\nNLK to HRE: 13658\nNLK to MUR: 7877\nNLK to AHE: 5682\nKKB to RGA: 15732\nKKB to HRE: 18822\nKKB to MUR: 14859\nKKB to AHE: 9844\nRGA to HRE: 12348\nRGA to MUR: 20453\nRGA to AHE: 11063\nMUR to HRE: 10811\nMUR to AHE: 12996\nHRE to AHE: 18607\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYF, PSE, LPY, MSO, UIO, EEK, CLD, DUJ, BUD\n- Travel distances (in kilometers) between each pair of airports:\nTYF to UIO: 10864\nTYF to BUD: 1640\nTYF to EEK: 11260\nTYF to MSO: 8856\nTYF to PSE: 9180\nTYF to CLD: 9281\nTYF to DUJ: 7149\nTYF to LPY: 2270\nPSE to UIO: 5087\nPSE to BUD: 9624\nPSE to EEK: 8750\nPSE to MSO: 5474\nPSE to CLD: 5597\nPSE to DUJ: 3538\nPSE to LPY: 8860\nLPY to UIO: 9776\nLPY to BUD: 1677\nLPY to EEK: 11513\nLPY to MSO: 8852\nLPY to CLD: 9682\nLPY to DUJ: 7008\nMSO to UIO: 6273\nMSO to BUD: 9477\nMSO to EEK: 3650\nMSO to CLD: 1726\nMSO to DUJ: 2870\nUIO to BUD: 10613\nUIO to EEK: 9747\nUIO to CLD: 5763\nUIO to DUJ: 4879\nEEK to BUD: 11954\nEEK to CLD: 4610\nEEK to DUJ: 5989\nCLD to BUD: 10182\nCLD to DUJ: 3681\nDUJ to BUD: 7714\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41306,
"style": "rule"
}
|
{
"exact_answer": 41306,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TYF\", \"id\": 0}, {\"name\": \"PSE\", \"id\": 1}, {\"name\": \"LPY\", \"id\": 2}, {\"name\": \"MSO\", \"id\": 3}, {\"name\": \"UIO\", \"id\": 4}, {\"name\": \"EEK\", \"id\": 5}, {\"name\": \"CLD\", \"id\": 6}, {\"name\": \"DUJ\", \"id\": 7}, {\"name\": \"BUD\", \"id\": 8}], \"links\": [{\"weight\": 10864, \"source\": 0, \"target\": 4}, {\"weight\": 1640, \"source\": 0, \"target\": 8}, {\"weight\": 11260, \"source\": 0, \"target\": 5}, {\"weight\": 8856, \"source\": 0, \"target\": 3}, {\"weight\": 9180, \"source\": 0, \"target\": 1}, {\"weight\": 9281, \"source\": 0, \"target\": 6}, {\"weight\": 7149, \"source\": 0, \"target\": 7}, {\"weight\": 2270, \"source\": 0, \"target\": 2}, {\"weight\": 5087, \"source\": 1, \"target\": 4}, {\"weight\": 9624, \"source\": 1, \"target\": 8}, {\"weight\": 8750, \"source\": 1, \"target\": 5}, {\"weight\": 5474, \"source\": 1, \"target\": 3}, {\"weight\": 5597, \"source\": 1, \"target\": 6}, {\"weight\": 3538, \"source\": 1, \"target\": 7}, {\"weight\": 8860, \"source\": 1, \"target\": 2}, {\"weight\": 9776, \"source\": 2, \"target\": 4}, {\"weight\": 1677, \"source\": 2, \"target\": 8}, {\"weight\": 11513, \"source\": 2, \"target\": 5}, {\"weight\": 8852, \"source\": 2, \"target\": 3}, {\"weight\": 9682, \"source\": 2, \"target\": 6}, {\"weight\": 7008, \"source\": 2, \"target\": 7}, {\"weight\": 6273, \"source\": 3, \"target\": 4}, {\"weight\": 9477, \"source\": 3, \"target\": 8}, {\"weight\": 3650, \"source\": 3, \"target\": 5}, {\"weight\": 1726, \"source\": 3, \"target\": 6}, {\"weight\": 2870, \"source\": 3, \"target\": 7}, {\"weight\": 10613, \"source\": 4, \"target\": 8}, {\"weight\": 9747, \"source\": 4, \"target\": 5}, {\"weight\": 5763, \"source\": 4, \"target\": 6}, {\"weight\": 4879, \"source\": 4, \"target\": 7}, {\"weight\": 11954, \"source\": 5, \"target\": 8}, {\"weight\": 4610, \"source\": 5, \"target\": 6}, {\"weight\": 5989, \"source\": 5, \"target\": 7}, {\"weight\": 10182, \"source\": 6, \"target\": 8}, {\"weight\": 3681, \"source\": 6, \"target\": 7}, {\"weight\": 7714, \"source\": 7, \"target\": 8}]}",
"id": 16,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYF, PSE, LPY, MSO, UIO, EEK, CLD, DUJ, BUD\n- Travel distances (in kilometers) between each pair of airports:\nTYF to UIO: 10864\nTYF to BUD: 1640\nTYF to EEK: 11260\nTYF to MSO: 8856\nTYF to PSE: 9180\nTYF to CLD: 9281\nTYF to DUJ: 7149\nTYF to LPY: 2270\nPSE to UIO: 5087\nPSE to BUD: 9624\nPSE to EEK: 8750\nPSE to MSO: 5474\nPSE to CLD: 5597\nPSE to DUJ: 3538\nPSE to LPY: 8860\nLPY to UIO: 9776\nLPY to BUD: 1677\nLPY to EEK: 11513\nLPY to MSO: 8852\nLPY to CLD: 9682\nLPY to DUJ: 7008\nMSO to UIO: 6273\nMSO to BUD: 9477\nMSO to EEK: 3650\nMSO to CLD: 1726\nMSO to DUJ: 2870\nUIO to BUD: 10613\nUIO to EEK: 9747\nUIO to CLD: 5763\nUIO to DUJ: 4879\nEEK to BUD: 11954\nEEK to CLD: 4610\nEEK to DUJ: 5989\nCLD to BUD: 10182\nCLD to DUJ: 3681\nDUJ to BUD: 7714\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MHQ, AES, ADE, TUG, MAB, LLA, BPS, TFN, BMU\n- Travel distances (in kilometers) between each pair of airports:\nMHQ to TUG: 9590\nMHQ to MAB: 10041\nMHQ to BPS: 10017\nMHQ to TFN: 4454\nMHQ to AES: 879\nMHQ to LLA: 811\nMHQ to ADE: 5804\nMHQ to BMU: 11532\nAES to TUG: 10446\nAES to MAB: 9781\nAES to BPS: 9751\nAES to TFN: 4184\nAES to LLA: 1446\nAES to ADE: 6327\nAES to BMU: 12385\nADE to TUG: 8624\nADE to MAB: 11511\nADE to BPS: 11610\nADE to TFN: 6905\nADE to LLA: 6377\nADE to BMU: 9001\nTUG to MAB: 19335\nTUG to BPS: 19339\nTUG to TFN: 13754\nTUG to LLA: 10397\nTUG to BMU: 3408\nMAB to BPS: 2391\nMAB to TFN: 5755\nMAB to LLA: 10552\nMAB to BMU: 20111\nLLA to BPS: 10522\nLLA to TFN: 4957\nLLA to BMU: 12329\nBPS to TFN: 5854\nBPS to BMU: 19223\nTFN to BMU: 14947\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48196,
"style": "rule"
}
|
{
"exact_answer": 48196,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MHQ\", \"id\": 0}, {\"name\": \"AES\", \"id\": 1}, {\"name\": \"ADE\", \"id\": 2}, {\"name\": \"TUG\", \"id\": 3}, {\"name\": \"MAB\", \"id\": 4}, {\"name\": \"LLA\", \"id\": 5}, {\"name\": \"BPS\", \"id\": 6}, {\"name\": \"TFN\", \"id\": 7}, {\"name\": \"BMU\", \"id\": 8}], \"links\": [{\"weight\": 9590, \"source\": 0, \"target\": 3}, {\"weight\": 10041, \"source\": 0, \"target\": 4}, {\"weight\": 10017, \"source\": 0, \"target\": 6}, {\"weight\": 4454, \"source\": 0, \"target\": 7}, {\"weight\": 879, \"source\": 0, \"target\": 1}, {\"weight\": 811, \"source\": 0, \"target\": 5}, {\"weight\": 5804, \"source\": 0, \"target\": 2}, {\"weight\": 11532, \"source\": 0, \"target\": 8}, {\"weight\": 10446, \"source\": 1, \"target\": 3}, {\"weight\": 9781, \"source\": 1, \"target\": 4}, {\"weight\": 9751, \"source\": 1, \"target\": 6}, {\"weight\": 4184, \"source\": 1, \"target\": 7}, {\"weight\": 1446, \"source\": 1, \"target\": 5}, {\"weight\": 6327, \"source\": 1, \"target\": 2}, {\"weight\": 12385, \"source\": 1, \"target\": 8}, {\"weight\": 8624, \"source\": 2, \"target\": 3}, {\"weight\": 11511, \"source\": 2, \"target\": 4}, {\"weight\": 11610, \"source\": 2, \"target\": 6}, {\"weight\": 6905, \"source\": 2, \"target\": 7}, {\"weight\": 6377, \"source\": 2, \"target\": 5}, {\"weight\": 9001, \"source\": 2, \"target\": 8}, {\"weight\": 19335, \"source\": 3, \"target\": 4}, {\"weight\": 19339, \"source\": 3, \"target\": 6}, {\"weight\": 13754, \"source\": 3, \"target\": 7}, {\"weight\": 10397, \"source\": 3, \"target\": 5}, {\"weight\": 3408, \"source\": 3, \"target\": 8}, {\"weight\": 2391, \"source\": 4, \"target\": 6}, {\"weight\": 5755, \"source\": 4, \"target\": 7}, {\"weight\": 10552, \"source\": 4, \"target\": 5}, {\"weight\": 20111, \"source\": 4, \"target\": 8}, {\"weight\": 10522, \"source\": 5, \"target\": 6}, {\"weight\": 4957, \"source\": 5, \"target\": 7}, {\"weight\": 12329, \"source\": 5, \"target\": 8}, {\"weight\": 5854, \"source\": 6, \"target\": 7}, {\"weight\": 19223, \"source\": 6, \"target\": 8}, {\"weight\": 14947, \"source\": 7, \"target\": 8}]}",
"id": 17,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MHQ, AES, ADE, TUG, MAB, LLA, BPS, TFN, BMU\n- Travel distances (in kilometers) between each pair of airports:\nMHQ to TUG: 9590\nMHQ to MAB: 10041\nMHQ to BPS: 10017\nMHQ to TFN: 4454\nMHQ to AES: 879\nMHQ to LLA: 811\nMHQ to ADE: 5804\nMHQ to BMU: 11532\nAES to TUG: 10446\nAES to MAB: 9781\nAES to BPS: 9751\nAES to TFN: 4184\nAES to LLA: 1446\nAES to ADE: 6327\nAES to BMU: 12385\nADE to TUG: 8624\nADE to MAB: 11511\nADE to BPS: 11610\nADE to TFN: 6905\nADE to LLA: 6377\nADE to BMU: 9001\nTUG to MAB: 19335\nTUG to BPS: 19339\nTUG to TFN: 13754\nTUG to LLA: 10397\nTUG to BMU: 3408\nMAB to BPS: 2391\nMAB to TFN: 5755\nMAB to LLA: 10552\nMAB to BMU: 20111\nLLA to BPS: 10522\nLLA to TFN: 4957\nLLA to BMU: 12329\nBPS to TFN: 5854\nBPS to BMU: 19223\nTFN to BMU: 14947\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ILO, ABJ, VRN, ZRJ, UBP, YBL, DIW, JLN, BWN\n- Travel distances (in kilometers) between each pair of airports:\nILO to ABJ: 14049\nILO to VRN: 10883\nILO to BWN: 1110\nILO to YBL: 11117\nILO to JLN: 14290\nILO to UBP: 3114\nILO to DIW: 5299\nILO to ZRJ: 13284\nABJ to VRN: 4787\nABJ to BWN: 13318\nABJ to YBL: 12037\nABJ to JLN: 10628\nABJ to UBP: 11963\nABJ to DIW: 9929\nABJ to ZRJ: 10024\nVRN to BWN: 10936\nVRN to YBL: 8761\nVRN to JLN: 9216\nVRN to UBP: 9560\nVRN to DIW: 8148\nVRN to ZRJ: 8262\nZRJ to BWN: 14148\nZRJ to YBL: 2719\nZRJ to JLN: 3239\nZRJ to UBP: 14851\nZRJ to DIW: 15828\nUBP to BWN: 2309\nUBP to YBL: 12454\nUBP to JLN: 15627\nUBP to DIW: 3139\nYBL to BWN: 11981\nYBL to JLN: 3517\nYBL to DIW: 14098\nDIW to BWN: 4223\nDIW to JLN: 16504\nJLN to BWN: 15154\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47196,
"style": "rule"
}
|
{
"exact_answer": 47196,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ILO\", \"id\": 0}, {\"name\": \"ABJ\", \"id\": 1}, {\"name\": \"VRN\", \"id\": 2}, {\"name\": \"ZRJ\", \"id\": 3}, {\"name\": \"UBP\", \"id\": 4}, {\"name\": \"YBL\", \"id\": 5}, {\"name\": \"DIW\", \"id\": 6}, {\"name\": \"JLN\", \"id\": 7}, {\"name\": \"BWN\", \"id\": 8}], \"links\": [{\"weight\": 14049, \"source\": 0, \"target\": 1}, {\"weight\": 10883, \"source\": 0, \"target\": 2}, {\"weight\": 1110, \"source\": 0, \"target\": 8}, {\"weight\": 11117, \"source\": 0, \"target\": 5}, {\"weight\": 14290, \"source\": 0, \"target\": 7}, {\"weight\": 3114, \"source\": 0, \"target\": 4}, {\"weight\": 5299, \"source\": 0, \"target\": 6}, {\"weight\": 13284, \"source\": 0, \"target\": 3}, {\"weight\": 4787, \"source\": 1, \"target\": 2}, {\"weight\": 13318, \"source\": 1, \"target\": 8}, {\"weight\": 12037, \"source\": 1, \"target\": 5}, {\"weight\": 10628, \"source\": 1, \"target\": 7}, {\"weight\": 11963, \"source\": 1, \"target\": 4}, {\"weight\": 9929, \"source\": 1, \"target\": 6}, {\"weight\": 10024, \"source\": 1, \"target\": 3}, {\"weight\": 10936, \"source\": 2, \"target\": 8}, {\"weight\": 8761, \"source\": 2, \"target\": 5}, {\"weight\": 9216, \"source\": 2, \"target\": 7}, {\"weight\": 9560, \"source\": 2, \"target\": 4}, {\"weight\": 8148, \"source\": 2, \"target\": 6}, {\"weight\": 8262, \"source\": 2, \"target\": 3}, {\"weight\": 14148, \"source\": 3, \"target\": 8}, {\"weight\": 2719, \"source\": 3, \"target\": 5}, {\"weight\": 3239, \"source\": 3, \"target\": 7}, {\"weight\": 14851, \"source\": 3, \"target\": 4}, {\"weight\": 15828, \"source\": 3, \"target\": 6}, {\"weight\": 2309, \"source\": 4, \"target\": 8}, {\"weight\": 12454, \"source\": 4, \"target\": 5}, {\"weight\": 15627, \"source\": 4, \"target\": 7}, {\"weight\": 3139, \"source\": 4, \"target\": 6}, {\"weight\": 11981, \"source\": 5, \"target\": 8}, {\"weight\": 3517, \"source\": 5, \"target\": 7}, {\"weight\": 14098, \"source\": 5, \"target\": 6}, {\"weight\": 4223, \"source\": 6, \"target\": 8}, {\"weight\": 16504, \"source\": 6, \"target\": 7}, {\"weight\": 15154, \"source\": 7, \"target\": 8}]}",
"id": 18,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ILO, ABJ, VRN, ZRJ, UBP, YBL, DIW, JLN, BWN\n- Travel distances (in kilometers) between each pair of airports:\nILO to ABJ: 14049\nILO to VRN: 10883\nILO to BWN: 1110\nILO to YBL: 11117\nILO to JLN: 14290\nILO to UBP: 3114\nILO to DIW: 5299\nILO to ZRJ: 13284\nABJ to VRN: 4787\nABJ to BWN: 13318\nABJ to YBL: 12037\nABJ to JLN: 10628\nABJ to UBP: 11963\nABJ to DIW: 9929\nABJ to ZRJ: 10024\nVRN to BWN: 10936\nVRN to YBL: 8761\nVRN to JLN: 9216\nVRN to UBP: 9560\nVRN to DIW: 8148\nVRN to ZRJ: 8262\nZRJ to BWN: 14148\nZRJ to YBL: 2719\nZRJ to JLN: 3239\nZRJ to UBP: 14851\nZRJ to DIW: 15828\nUBP to BWN: 2309\nUBP to YBL: 12454\nUBP to JLN: 15627\nUBP to DIW: 3139\nYBL to BWN: 11981\nYBL to JLN: 3517\nYBL to DIW: 14098\nDIW to BWN: 4223\nDIW to JLN: 16504\nJLN to BWN: 15154\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERZ, HMI, NBC, SCZ, PPN, XFN, KDV, LBS, ANU\n- Travel distances (in kilometers) between each pair of airports:\nERZ to NBC: 3429\nERZ to ANU: 10051\nERZ to PPN: 12160\nERZ to HMI: 5733\nERZ to XFN: 8133\nERZ to KDV: 16836\nERZ to LBS: 16920\nERZ to SCZ: 15613\nHMI to NBC: 3720\nHMI to ANU: 13314\nHMI to PPN: 15520\nHMI to XFN: 2494\nHMI to KDV: 11122\nHMI to LBS: 11206\nHMI to SCZ: 10159\nNBC to ANU: 9989\nNBC to PPN: 12107\nNBC to XFN: 5880\nNBC to KDV: 14113\nNBC to LBS: 14197\nNBC to SCZ: 13502\nSCZ to ANU: 17528\nSCZ to PPN: 17600\nSCZ to XFN: 8156\nSCZ to KDV: 2901\nSCZ to LBS: 2985\nPPN to ANU: 2454\nPPN to XFN: 16256\nPPN to KDV: 15025\nPPN to LBS: 15109\nXFN to ANU: 14794\nXFN to KDV: 9496\nXFN to LBS: 9580\nKDV to ANU: 14953\nKDV to LBS: 313\nLBS to ANU: 15037\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48627,
"style": "rule"
}
|
{
"exact_answer": 48627,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERZ\", \"id\": 0}, {\"name\": \"HMI\", \"id\": 1}, {\"name\": \"NBC\", \"id\": 2}, {\"name\": \"SCZ\", \"id\": 3}, {\"name\": \"PPN\", \"id\": 4}, {\"name\": \"XFN\", \"id\": 5}, {\"name\": \"KDV\", \"id\": 6}, {\"name\": \"LBS\", \"id\": 7}, {\"name\": \"ANU\", \"id\": 8}], \"links\": [{\"weight\": 3429, \"source\": 0, \"target\": 2}, {\"weight\": 10051, \"source\": 0, \"target\": 8}, {\"weight\": 12160, \"source\": 0, \"target\": 4}, {\"weight\": 5733, \"source\": 0, \"target\": 1}, {\"weight\": 8133, \"source\": 0, \"target\": 5}, {\"weight\": 16836, \"source\": 0, \"target\": 6}, {\"weight\": 16920, \"source\": 0, \"target\": 7}, {\"weight\": 15613, \"source\": 0, \"target\": 3}, {\"weight\": 3720, \"source\": 1, \"target\": 2}, {\"weight\": 13314, \"source\": 1, \"target\": 8}, {\"weight\": 15520, \"source\": 1, \"target\": 4}, {\"weight\": 2494, \"source\": 1, \"target\": 5}, {\"weight\": 11122, \"source\": 1, \"target\": 6}, {\"weight\": 11206, \"source\": 1, \"target\": 7}, {\"weight\": 10159, \"source\": 1, \"target\": 3}, {\"weight\": 9989, \"source\": 2, \"target\": 8}, {\"weight\": 12107, \"source\": 2, \"target\": 4}, {\"weight\": 5880, \"source\": 2, \"target\": 5}, {\"weight\": 14113, \"source\": 2, \"target\": 6}, {\"weight\": 14197, \"source\": 2, \"target\": 7}, {\"weight\": 13502, \"source\": 2, \"target\": 3}, {\"weight\": 17528, \"source\": 3, \"target\": 8}, {\"weight\": 17600, \"source\": 3, \"target\": 4}, {\"weight\": 8156, \"source\": 3, \"target\": 5}, {\"weight\": 2901, \"source\": 3, \"target\": 6}, {\"weight\": 2985, \"source\": 3, \"target\": 7}, {\"weight\": 2454, \"source\": 4, \"target\": 8}, {\"weight\": 16256, \"source\": 4, \"target\": 5}, {\"weight\": 15025, \"source\": 4, \"target\": 6}, {\"weight\": 15109, \"source\": 4, \"target\": 7}, {\"weight\": 14794, \"source\": 5, \"target\": 8}, {\"weight\": 9496, \"source\": 5, \"target\": 6}, {\"weight\": 9580, \"source\": 5, \"target\": 7}, {\"weight\": 14953, \"source\": 6, \"target\": 8}, {\"weight\": 313, \"source\": 6, \"target\": 7}, {\"weight\": 15037, \"source\": 7, \"target\": 8}]}",
"id": 19,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERZ, HMI, NBC, SCZ, PPN, XFN, KDV, LBS, ANU\n- Travel distances (in kilometers) between each pair of airports:\nERZ to NBC: 3429\nERZ to ANU: 10051\nERZ to PPN: 12160\nERZ to HMI: 5733\nERZ to XFN: 8133\nERZ to KDV: 16836\nERZ to LBS: 16920\nERZ to SCZ: 15613\nHMI to NBC: 3720\nHMI to ANU: 13314\nHMI to PPN: 15520\nHMI to XFN: 2494\nHMI to KDV: 11122\nHMI to LBS: 11206\nHMI to SCZ: 10159\nNBC to ANU: 9989\nNBC to PPN: 12107\nNBC to XFN: 5880\nNBC to KDV: 14113\nNBC to LBS: 14197\nNBC to SCZ: 13502\nSCZ to ANU: 17528\nSCZ to PPN: 17600\nSCZ to XFN: 8156\nSCZ to KDV: 2901\nSCZ to LBS: 2985\nPPN to ANU: 2454\nPPN to XFN: 16256\nPPN to KDV: 15025\nPPN to LBS: 15109\nXFN to ANU: 14794\nXFN to KDV: 9496\nXFN to LBS: 9580\nKDV to ANU: 14953\nKDV to LBS: 313\nLBS to ANU: 15037\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JTY, PAC, DTW, YTY, BSG, EOH, KHZ, KMG, YRB\n- Travel distances (in kilometers) between each pair of airports:\nJTY to KMG: 7833\nJTY to YTY: 8601\nJTY to YRB: 10464\nJTY to PAC: 11662\nJTY to DTW: 8729\nJTY to EOH: 10901\nJTY to BSG: 5648\nJTY to KHZ: 18524\nPAC to KMG: 16697\nPAC to YTY: 15464\nPAC to YRB: 8213\nPAC to DTW: 4110\nPAC to EOH: 1841\nPAC to BSG: 12597\nPAC to KHZ: 12036\nDTW to KMG: 12760\nDTW to YTY: 11527\nDTW to YRB: 4383\nDTW to EOH: 4482\nDTW to BSG: 10172\nDTW to KHZ: 10307\nYTY to KMG: 1852\nYTY to YRB: 15090\nYTY to EOH: 15973\nYTY to BSG: 12170\nYTY to KHZ: 12393\nBSG to KMG: 10588\nBSG to YRB: 13273\nBSG to EOH: 11423\nBSG to KHZ: 18350\nEOH to KMG: 17206\nEOH to YRB: 8424\nEOH to KHZ: 12753\nKHZ to KMG: 13740\nKHZ to YRB: 13839\nKMG to YRB: 16323\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63322,
"style": "rule"
}
|
{
"exact_answer": 63322,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JTY\", \"id\": 0}, {\"name\": \"PAC\", \"id\": 1}, {\"name\": \"DTW\", \"id\": 2}, {\"name\": \"YTY\", \"id\": 3}, {\"name\": \"BSG\", \"id\": 4}, {\"name\": \"EOH\", \"id\": 5}, {\"name\": \"KHZ\", \"id\": 6}, {\"name\": \"KMG\", \"id\": 7}, {\"name\": \"YRB\", \"id\": 8}], \"links\": [{\"weight\": 7833, \"source\": 0, \"target\": 7}, {\"weight\": 8601, \"source\": 0, \"target\": 3}, {\"weight\": 10464, \"source\": 0, \"target\": 8}, {\"weight\": 11662, \"source\": 0, \"target\": 1}, {\"weight\": 8729, \"source\": 0, \"target\": 2}, {\"weight\": 10901, \"source\": 0, \"target\": 5}, {\"weight\": 5648, \"source\": 0, \"target\": 4}, {\"weight\": 18524, \"source\": 0, \"target\": 6}, {\"weight\": 16697, \"source\": 1, \"target\": 7}, {\"weight\": 15464, \"source\": 1, \"target\": 3}, {\"weight\": 8213, \"source\": 1, \"target\": 8}, {\"weight\": 4110, \"source\": 1, \"target\": 2}, {\"weight\": 1841, \"source\": 1, \"target\": 5}, {\"weight\": 12597, \"source\": 1, \"target\": 4}, {\"weight\": 12036, \"source\": 1, \"target\": 6}, {\"weight\": 12760, \"source\": 2, \"target\": 7}, {\"weight\": 11527, \"source\": 2, \"target\": 3}, {\"weight\": 4383, \"source\": 2, \"target\": 8}, {\"weight\": 4482, \"source\": 2, \"target\": 5}, {\"weight\": 10172, \"source\": 2, \"target\": 4}, {\"weight\": 10307, \"source\": 2, \"target\": 6}, {\"weight\": 1852, \"source\": 3, \"target\": 7}, {\"weight\": 15090, \"source\": 3, \"target\": 8}, {\"weight\": 15973, \"source\": 3, \"target\": 5}, {\"weight\": 12170, \"source\": 3, \"target\": 4}, {\"weight\": 12393, \"source\": 3, \"target\": 6}, {\"weight\": 10588, \"source\": 4, \"target\": 7}, {\"weight\": 13273, \"source\": 4, \"target\": 8}, {\"weight\": 11423, \"source\": 4, \"target\": 5}, {\"weight\": 18350, \"source\": 4, \"target\": 6}, {\"weight\": 17206, \"source\": 5, \"target\": 7}, {\"weight\": 8424, \"source\": 5, \"target\": 8}, {\"weight\": 12753, \"source\": 5, \"target\": 6}, {\"weight\": 13740, \"source\": 6, \"target\": 7}, {\"weight\": 13839, \"source\": 6, \"target\": 8}, {\"weight\": 16323, \"source\": 7, \"target\": 8}]}",
"id": 20,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JTY, PAC, DTW, YTY, BSG, EOH, KHZ, KMG, YRB\n- Travel distances (in kilometers) between each pair of airports:\nJTY to KMG: 7833\nJTY to YTY: 8601\nJTY to YRB: 10464\nJTY to PAC: 11662\nJTY to DTW: 8729\nJTY to EOH: 10901\nJTY to BSG: 5648\nJTY to KHZ: 18524\nPAC to KMG: 16697\nPAC to YTY: 15464\nPAC to YRB: 8213\nPAC to DTW: 4110\nPAC to EOH: 1841\nPAC to BSG: 12597\nPAC to KHZ: 12036\nDTW to KMG: 12760\nDTW to YTY: 11527\nDTW to YRB: 4383\nDTW to EOH: 4482\nDTW to BSG: 10172\nDTW to KHZ: 10307\nYTY to KMG: 1852\nYTY to YRB: 15090\nYTY to EOH: 15973\nYTY to BSG: 12170\nYTY to KHZ: 12393\nBSG to KMG: 10588\nBSG to YRB: 13273\nBSG to EOH: 11423\nBSG to KHZ: 18350\nEOH to KMG: 17206\nEOH to YRB: 8424\nEOH to KHZ: 12753\nKHZ to KMG: 13740\nKHZ to YRB: 13839\nKMG to YRB: 16323\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUN, NGS, KCA, MBI, PRN, LUO, PQQ, AGT, FMN\n- Travel distances (in kilometers) between each pair of airports:\nTUN to PRN: 1735\nTUN to NGS: 10129\nTUN to KCA: 6822\nTUN to LUO: 6963\nTUN to FMN: 9792\nTUN to AGT: 10078\nTUN to PQQ: 16804\nTUN to MBI: 6965\nNGS to PRN: 9178\nNGS to KCA: 4364\nNGS to LUO: 13874\nNGS to FMN: 10764\nNGS to AGT: 19273\nNGS to PQQ: 8170\nNGS to MBI: 11679\nKCA to PRN: 5813\nKCA to LUO: 10777\nKCA to FMN: 13615\nKCA to AGT: 16587\nKCA to PQQ: 11247\nKCA to MBI: 8591\nMBI to PRN: 6758\nMBI to LUO: 4841\nMBI to FMN: 16141\nMBI to AGT: 11422\nMBI to PQQ: 12733\nPRN to LUO: 7219\nPRN to FMN: 9816\nPRN to AGT: 11384\nPRN to PQQ: 15881\nLUO to FMN: 14475\nLUO to AGT: 8207\nLUO to PQQ: 14631\nPQQ to FMN: 13102\nPQQ to AGT: 13500\nAGT to FMN: 9466\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62663,
"style": "rule"
}
|
{
"exact_answer": 62663,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TUN\", \"id\": 0}, {\"name\": \"NGS\", \"id\": 1}, {\"name\": \"KCA\", \"id\": 2}, {\"name\": \"MBI\", \"id\": 3}, {\"name\": \"PRN\", \"id\": 4}, {\"name\": \"LUO\", \"id\": 5}, {\"name\": \"PQQ\", \"id\": 6}, {\"name\": \"AGT\", \"id\": 7}, {\"name\": \"FMN\", \"id\": 8}], \"links\": [{\"weight\": 1735, \"source\": 0, \"target\": 4}, {\"weight\": 10129, \"source\": 0, \"target\": 1}, {\"weight\": 6822, \"source\": 0, \"target\": 2}, {\"weight\": 6963, \"source\": 0, \"target\": 5}, {\"weight\": 9792, \"source\": 0, \"target\": 8}, {\"weight\": 10078, \"source\": 0, \"target\": 7}, {\"weight\": 16804, \"source\": 0, \"target\": 6}, {\"weight\": 6965, \"source\": 0, \"target\": 3}, {\"weight\": 9178, \"source\": 1, \"target\": 4}, {\"weight\": 4364, \"source\": 1, \"target\": 2}, {\"weight\": 13874, \"source\": 1, \"target\": 5}, {\"weight\": 10764, \"source\": 1, \"target\": 8}, {\"weight\": 19273, \"source\": 1, \"target\": 7}, {\"weight\": 8170, \"source\": 1, \"target\": 6}, {\"weight\": 11679, \"source\": 1, \"target\": 3}, {\"weight\": 5813, \"source\": 2, \"target\": 4}, {\"weight\": 10777, \"source\": 2, \"target\": 5}, {\"weight\": 13615, \"source\": 2, \"target\": 8}, {\"weight\": 16587, \"source\": 2, \"target\": 7}, {\"weight\": 11247, \"source\": 2, \"target\": 6}, {\"weight\": 8591, \"source\": 2, \"target\": 3}, {\"weight\": 6758, \"source\": 3, \"target\": 4}, {\"weight\": 4841, \"source\": 3, \"target\": 5}, {\"weight\": 16141, \"source\": 3, \"target\": 8}, {\"weight\": 11422, \"source\": 3, \"target\": 7}, {\"weight\": 12733, \"source\": 3, \"target\": 6}, {\"weight\": 7219, \"source\": 4, \"target\": 5}, {\"weight\": 9816, \"source\": 4, \"target\": 8}, {\"weight\": 11384, \"source\": 4, \"target\": 7}, {\"weight\": 15881, \"source\": 4, \"target\": 6}, {\"weight\": 14475, \"source\": 5, \"target\": 8}, {\"weight\": 8207, \"source\": 5, \"target\": 7}, {\"weight\": 14631, \"source\": 5, \"target\": 6}, {\"weight\": 13102, \"source\": 6, \"target\": 8}, {\"weight\": 13500, \"source\": 6, \"target\": 7}, {\"weight\": 9466, \"source\": 7, \"target\": 8}]}",
"id": 21,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TUN, NGS, KCA, MBI, PRN, LUO, PQQ, AGT, FMN\n- Travel distances (in kilometers) between each pair of airports:\nTUN to PRN: 1735\nTUN to NGS: 10129\nTUN to KCA: 6822\nTUN to LUO: 6963\nTUN to FMN: 9792\nTUN to AGT: 10078\nTUN to PQQ: 16804\nTUN to MBI: 6965\nNGS to PRN: 9178\nNGS to KCA: 4364\nNGS to LUO: 13874\nNGS to FMN: 10764\nNGS to AGT: 19273\nNGS to PQQ: 8170\nNGS to MBI: 11679\nKCA to PRN: 5813\nKCA to LUO: 10777\nKCA to FMN: 13615\nKCA to AGT: 16587\nKCA to PQQ: 11247\nKCA to MBI: 8591\nMBI to PRN: 6758\nMBI to LUO: 4841\nMBI to FMN: 16141\nMBI to AGT: 11422\nMBI to PQQ: 12733\nPRN to LUO: 7219\nPRN to FMN: 9816\nPRN to AGT: 11384\nPRN to PQQ: 15881\nLUO to FMN: 14475\nLUO to AGT: 8207\nLUO to PQQ: 14631\nPQQ to FMN: 13102\nPQQ to AGT: 13500\nAGT to FMN: 9466\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MAQ, ABD, SAX, GDE, BMI, YHR, IKA, LUX\n- Travel distances (in kilometers) between each pair of airports:\nUYU to IKA: 14681\nUYU to SAX: 4823\nUYU to BMI: 7156\nUYU to LUX: 11201\nUYU to ABD: 15347\nUYU to MAQ: 20293\nUYU to GDE: 13663\nUYU to YHR: 8631\nMAQ to IKA: 5856\nMAQ to SAX: 18460\nMAQ to BMI: 14442\nMAQ to LUX: 9597\nMAQ to ABD: 6333\nMAQ to GDE: 7885\nMAQ to YHR: 14439\nABD to IKA: 1627\nABD to SAX: 14619\nABD to BMI: 11705\nABD to LUX: 4704\nABD to GDE: 3441\nABD to YHR: 9702\nSAX to IKA: 13909\nSAX to BMI: 4194\nSAX to LUX: 9988\nSAX to GDE: 15672\nSAX to YHR: 5980\nGDE to IKA: 3522\nGDE to BMI: 13166\nGDE to LUX: 6191\nGDE to YHR: 11171\nBMI to IKA: 10642\nBMI to LUX: 7041\nBMI to YHR: 2583\nYHR to IKA: 8909\nYHR to LUX: 5000\nIKA to LUX: 3936\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49829,
"style": "rule"
}
|
{
"exact_answer": 49829,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UYU\", \"id\": 0}, {\"name\": \"MAQ\", \"id\": 1}, {\"name\": \"ABD\", \"id\": 2}, {\"name\": \"SAX\", \"id\": 3}, {\"name\": \"GDE\", \"id\": 4}, {\"name\": \"BMI\", \"id\": 5}, {\"name\": \"YHR\", \"id\": 6}, {\"name\": \"IKA\", \"id\": 7}, {\"name\": \"LUX\", \"id\": 8}], \"links\": [{\"weight\": 14681, \"source\": 0, \"target\": 7}, {\"weight\": 4823, \"source\": 0, \"target\": 3}, {\"weight\": 7156, \"source\": 0, \"target\": 5}, {\"weight\": 11201, \"source\": 0, \"target\": 8}, {\"weight\": 15347, \"source\": 0, \"target\": 2}, {\"weight\": 20293, \"source\": 0, \"target\": 1}, {\"weight\": 13663, \"source\": 0, \"target\": 4}, {\"weight\": 8631, \"source\": 0, \"target\": 6}, {\"weight\": 5856, \"source\": 1, \"target\": 7}, {\"weight\": 18460, \"source\": 1, \"target\": 3}, {\"weight\": 14442, \"source\": 1, \"target\": 5}, {\"weight\": 9597, \"source\": 1, \"target\": 8}, {\"weight\": 6333, \"source\": 1, \"target\": 2}, {\"weight\": 7885, \"source\": 1, \"target\": 4}, {\"weight\": 14439, \"source\": 1, \"target\": 6}, {\"weight\": 1627, \"source\": 2, \"target\": 7}, {\"weight\": 14619, \"source\": 2, \"target\": 3}, {\"weight\": 11705, \"source\": 2, \"target\": 5}, {\"weight\": 4704, \"source\": 2, \"target\": 8}, {\"weight\": 3441, \"source\": 2, \"target\": 4}, {\"weight\": 9702, \"source\": 2, \"target\": 6}, {\"weight\": 13909, \"source\": 3, \"target\": 7}, {\"weight\": 4194, \"source\": 3, \"target\": 5}, {\"weight\": 9988, \"source\": 3, \"target\": 8}, {\"weight\": 15672, \"source\": 3, \"target\": 4}, {\"weight\": 5980, \"source\": 3, \"target\": 6}, {\"weight\": 3522, \"source\": 4, \"target\": 7}, {\"weight\": 13166, \"source\": 4, \"target\": 5}, {\"weight\": 6191, \"source\": 4, \"target\": 8}, {\"weight\": 11171, \"source\": 4, \"target\": 6}, {\"weight\": 10642, \"source\": 5, \"target\": 7}, {\"weight\": 7041, \"source\": 5, \"target\": 8}, {\"weight\": 2583, \"source\": 5, \"target\": 6}, {\"weight\": 8909, \"source\": 6, \"target\": 7}, {\"weight\": 5000, \"source\": 6, \"target\": 8}, {\"weight\": 3936, \"source\": 7, \"target\": 8}]}",
"id": 22,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MAQ, ABD, SAX, GDE, BMI, YHR, IKA, LUX\n- Travel distances (in kilometers) between each pair of airports:\nUYU to IKA: 14681\nUYU to SAX: 4823\nUYU to BMI: 7156\nUYU to LUX: 11201\nUYU to ABD: 15347\nUYU to MAQ: 20293\nUYU to GDE: 13663\nUYU to YHR: 8631\nMAQ to IKA: 5856\nMAQ to SAX: 18460\nMAQ to BMI: 14442\nMAQ to LUX: 9597\nMAQ to ABD: 6333\nMAQ to GDE: 7885\nMAQ to YHR: 14439\nABD to IKA: 1627\nABD to SAX: 14619\nABD to BMI: 11705\nABD to LUX: 4704\nABD to GDE: 3441\nABD to YHR: 9702\nSAX to IKA: 13909\nSAX to BMI: 4194\nSAX to LUX: 9988\nSAX to GDE: 15672\nSAX to YHR: 5980\nGDE to IKA: 3522\nGDE to BMI: 13166\nGDE to LUX: 6191\nGDE to YHR: 11171\nBMI to IKA: 10642\nBMI to LUX: 7041\nBMI to YHR: 2583\nYHR to IKA: 8909\nYHR to LUX: 5000\nIKA to LUX: 3936\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ONQ, PPK, XUZ, USU, NAP, YTL, TGG, YLE, RBV\n- Travel distances (in kilometers) between each pair of airports:\nONQ to NAP: 3477\nONQ to XUZ: 10657\nONQ to USU: 12731\nONQ to YLE: 10526\nONQ to TGG: 12587\nONQ to PPK: 8667\nONQ to RBV: 18074\nONQ to YTL: 9989\nPPK to NAP: 6526\nPPK to XUZ: 4992\nPPK to USU: 6932\nPPK to YLE: 13844\nPPK to TGG: 6853\nPPK to RBV: 12274\nPPK to YTL: 13526\nXUZ to NAP: 8687\nXUZ to USU: 2520\nXUZ to YLE: 10978\nXUZ to TGG: 4213\nXUZ to RBV: 7873\nXUZ to YTL: 11674\nUSU to NAP: 10647\nUSU to YLE: 12703\nUSU to TGG: 2863\nUSU to RBV: 5557\nUSU to YTL: 13293\nNAP to YLE: 9595\nNAP to TGG: 9927\nNAP to RBV: 15989\nNAP to YTL: 8898\nYTL to YLE: 3189\nYTL to TGG: 15590\nYTL to RBV: 14538\nTGG to YLE: 15000\nTGG to RBV: 7099\nYLE to RBV: 13842\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54497,
"style": "rule"
}
|
{
"exact_answer": 54497,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ONQ\", \"id\": 0}, {\"name\": \"PPK\", \"id\": 1}, {\"name\": \"XUZ\", \"id\": 2}, {\"name\": \"USU\", \"id\": 3}, {\"name\": \"NAP\", \"id\": 4}, {\"name\": \"YTL\", \"id\": 5}, {\"name\": \"TGG\", \"id\": 6}, {\"name\": \"YLE\", \"id\": 7}, {\"name\": \"RBV\", \"id\": 8}], \"links\": [{\"weight\": 3477, \"source\": 0, \"target\": 4}, {\"weight\": 10657, \"source\": 0, \"target\": 2}, {\"weight\": 12731, \"source\": 0, \"target\": 3}, {\"weight\": 10526, \"source\": 0, \"target\": 7}, {\"weight\": 12587, \"source\": 0, \"target\": 6}, {\"weight\": 8667, \"source\": 0, \"target\": 1}, {\"weight\": 18074, \"source\": 0, \"target\": 8}, {\"weight\": 9989, \"source\": 0, \"target\": 5}, {\"weight\": 6526, \"source\": 1, \"target\": 4}, {\"weight\": 4992, \"source\": 1, \"target\": 2}, {\"weight\": 6932, \"source\": 1, \"target\": 3}, {\"weight\": 13844, \"source\": 1, \"target\": 7}, {\"weight\": 6853, \"source\": 1, \"target\": 6}, {\"weight\": 12274, \"source\": 1, \"target\": 8}, {\"weight\": 13526, \"source\": 1, \"target\": 5}, {\"weight\": 8687, \"source\": 2, \"target\": 4}, {\"weight\": 2520, \"source\": 2, \"target\": 3}, {\"weight\": 10978, \"source\": 2, \"target\": 7}, {\"weight\": 4213, \"source\": 2, \"target\": 6}, {\"weight\": 7873, \"source\": 2, \"target\": 8}, {\"weight\": 11674, \"source\": 2, \"target\": 5}, {\"weight\": 10647, \"source\": 3, \"target\": 4}, {\"weight\": 12703, \"source\": 3, \"target\": 7}, {\"weight\": 2863, \"source\": 3, \"target\": 6}, {\"weight\": 5557, \"source\": 3, \"target\": 8}, {\"weight\": 13293, \"source\": 3, \"target\": 5}, {\"weight\": 9595, \"source\": 4, \"target\": 7}, {\"weight\": 9927, \"source\": 4, \"target\": 6}, {\"weight\": 15989, \"source\": 4, \"target\": 8}, {\"weight\": 8898, \"source\": 4, \"target\": 5}, {\"weight\": 3189, \"source\": 5, \"target\": 7}, {\"weight\": 15590, \"source\": 5, \"target\": 6}, {\"weight\": 14538, \"source\": 5, \"target\": 8}, {\"weight\": 15000, \"source\": 6, \"target\": 7}, {\"weight\": 7099, \"source\": 6, \"target\": 8}, {\"weight\": 13842, \"source\": 7, \"target\": 8}]}",
"id": 23,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ONQ, PPK, XUZ, USU, NAP, YTL, TGG, YLE, RBV\n- Travel distances (in kilometers) between each pair of airports:\nONQ to NAP: 3477\nONQ to XUZ: 10657\nONQ to USU: 12731\nONQ to YLE: 10526\nONQ to TGG: 12587\nONQ to PPK: 8667\nONQ to RBV: 18074\nONQ to YTL: 9989\nPPK to NAP: 6526\nPPK to XUZ: 4992\nPPK to USU: 6932\nPPK to YLE: 13844\nPPK to TGG: 6853\nPPK to RBV: 12274\nPPK to YTL: 13526\nXUZ to NAP: 8687\nXUZ to USU: 2520\nXUZ to YLE: 10978\nXUZ to TGG: 4213\nXUZ to RBV: 7873\nXUZ to YTL: 11674\nUSU to NAP: 10647\nUSU to YLE: 12703\nUSU to TGG: 2863\nUSU to RBV: 5557\nUSU to YTL: 13293\nNAP to YLE: 9595\nNAP to TGG: 9927\nNAP to RBV: 15989\nNAP to YTL: 8898\nYTL to YLE: 3189\nYTL to TGG: 15590\nYTL to RBV: 14538\nTGG to YLE: 15000\nTGG to RBV: 7099\nYLE to RBV: 13842\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUZ, DAT, RBR, ROS, JIC, SDF, HSL, HRO, GLH\n- Travel distances (in kilometers) between each pair of airports:\nBUZ to GLH: 12571\nBUZ to DAT: 6151\nBUZ to HSL: 15403\nBUZ to ROS: 14093\nBUZ to SDF: 11672\nBUZ to RBR: 14742\nBUZ to JIC: 5583\nBUZ to HRO: 12500\nDAT to GLH: 12430\nDAT to HSL: 11811\nDAT to ROS: 19503\nDAT to SDF: 11287\nDAT to RBR: 17729\nDAT to JIC: 1368\nDAT to HRO: 11698\nRBR to GLH: 6679\nRBR to HSL: 12340\nRBR to ROS: 4434\nRBR to SDF: 6560\nRBR to JIC: 18211\nRBR to HRO: 6794\nROS to GLH: 8546\nROS to HSL: 13796\nROS to SDF: 8436\nROS to JIC: 18935\nROS to HRO: 8638\nJIC to GLH: 13664\nJIC to HSL: 13018\nJIC to SDF: 12521\nJIC to HRO: 12905\nSDF to GLH: 1146\nSDF to HSL: 5838\nSDF to HRO: 1367\nHSL to GLH: 6954\nHSL to HRO: 5623\nHRO to GLH: 1477\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52095,
"style": "rule"
}
|
{
"exact_answer": 52095,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUZ\", \"id\": 0}, {\"name\": \"DAT\", \"id\": 1}, {\"name\": \"RBR\", \"id\": 2}, {\"name\": \"ROS\", \"id\": 3}, {\"name\": \"JIC\", \"id\": 4}, {\"name\": \"SDF\", \"id\": 5}, {\"name\": \"HSL\", \"id\": 6}, {\"name\": \"HRO\", \"id\": 7}, {\"name\": \"GLH\", \"id\": 8}], \"links\": [{\"weight\": 12571, \"source\": 0, \"target\": 8}, {\"weight\": 6151, \"source\": 0, \"target\": 1}, {\"weight\": 15403, \"source\": 0, \"target\": 6}, {\"weight\": 14093, \"source\": 0, \"target\": 3}, {\"weight\": 11672, \"source\": 0, \"target\": 5}, {\"weight\": 14742, \"source\": 0, \"target\": 2}, {\"weight\": 5583, \"source\": 0, \"target\": 4}, {\"weight\": 12500, \"source\": 0, \"target\": 7}, {\"weight\": 12430, \"source\": 1, \"target\": 8}, {\"weight\": 11811, \"source\": 1, \"target\": 6}, {\"weight\": 19503, \"source\": 1, \"target\": 3}, {\"weight\": 11287, \"source\": 1, \"target\": 5}, {\"weight\": 17729, \"source\": 1, \"target\": 2}, {\"weight\": 1368, \"source\": 1, \"target\": 4}, {\"weight\": 11698, \"source\": 1, \"target\": 7}, {\"weight\": 6679, \"source\": 2, \"target\": 8}, {\"weight\": 12340, \"source\": 2, \"target\": 6}, {\"weight\": 4434, \"source\": 2, \"target\": 3}, {\"weight\": 6560, \"source\": 2, \"target\": 5}, {\"weight\": 18211, \"source\": 2, \"target\": 4}, {\"weight\": 6794, \"source\": 2, \"target\": 7}, {\"weight\": 8546, \"source\": 3, \"target\": 8}, {\"weight\": 13796, \"source\": 3, \"target\": 6}, {\"weight\": 8436, \"source\": 3, \"target\": 5}, {\"weight\": 18935, \"source\": 3, \"target\": 4}, {\"weight\": 8638, \"source\": 3, \"target\": 7}, {\"weight\": 13664, \"source\": 4, \"target\": 8}, {\"weight\": 13018, \"source\": 4, \"target\": 6}, {\"weight\": 12521, \"source\": 4, \"target\": 5}, {\"weight\": 12905, \"source\": 4, \"target\": 7}, {\"weight\": 1146, \"source\": 5, \"target\": 8}, {\"weight\": 5838, \"source\": 5, \"target\": 6}, {\"weight\": 1367, \"source\": 5, \"target\": 7}, {\"weight\": 6954, \"source\": 6, \"target\": 8}, {\"weight\": 5623, \"source\": 6, \"target\": 7}, {\"weight\": 1477, \"source\": 7, \"target\": 8}]}",
"id": 24,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUZ, DAT, RBR, ROS, JIC, SDF, HSL, HRO, GLH\n- Travel distances (in kilometers) between each pair of airports:\nBUZ to GLH: 12571\nBUZ to DAT: 6151\nBUZ to HSL: 15403\nBUZ to ROS: 14093\nBUZ to SDF: 11672\nBUZ to RBR: 14742\nBUZ to JIC: 5583\nBUZ to HRO: 12500\nDAT to GLH: 12430\nDAT to HSL: 11811\nDAT to ROS: 19503\nDAT to SDF: 11287\nDAT to RBR: 17729\nDAT to JIC: 1368\nDAT to HRO: 11698\nRBR to GLH: 6679\nRBR to HSL: 12340\nRBR to ROS: 4434\nRBR to SDF: 6560\nRBR to JIC: 18211\nRBR to HRO: 6794\nROS to GLH: 8546\nROS to HSL: 13796\nROS to SDF: 8436\nROS to JIC: 18935\nROS to HRO: 8638\nJIC to GLH: 13664\nJIC to HSL: 13018\nJIC to SDF: 12521\nJIC to HRO: 12905\nSDF to GLH: 1146\nSDF to HSL: 5838\nSDF to HRO: 1367\nHSL to GLH: 6954\nHSL to HRO: 5623\nHRO to GLH: 1477\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISG, KBP, OZH, NOB, PIA, FOC, WGA, TAK, BUW\n- Travel distances (in kilometers) between each pair of airports:\nISG to FOC: 492\nISG to NOB: 15291\nISG to TAK: 1484\nISG to KBP: 8377\nISG to PIA: 12118\nISG to BUW: 4219\nISG to OZH: 8718\nISG to WGA: 7959\nKBP to FOC: 7889\nKBP to NOB: 11181\nKBP to TAK: 8113\nKBP to PIA: 8384\nKBP to BUW: 10945\nKBP to OZH: 1647\nKBP to WGA: 15110\nOZH to FOC: 8284\nOZH to NOB: 11602\nOZH to TAK: 8359\nOZH to PIA: 8813\nOZH to BUW: 11523\nOZH to WGA: 15661\nNOB to FOC: 15446\nNOB to TAK: 13890\nNOB to PIA: 3696\nNOB to BUW: 19087\nNOB to WGA: 16893\nPIA to FOC: 12157\nPIA to TAK: 10707\nPIA to BUW: 15957\nPIA to WGA: 15073\nFOC to TAK: 1779\nFOC to BUW: 4085\nFOC to WGA: 7833\nWGA to TAK: 8801\nWGA to BUW: 5716\nTAK to BUW: 5506\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50756,
"style": "rule"
}
|
{
"exact_answer": 50756,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ISG\", \"id\": 0}, {\"name\": \"KBP\", \"id\": 1}, {\"name\": \"OZH\", \"id\": 2}, {\"name\": \"NOB\", \"id\": 3}, {\"name\": \"PIA\", \"id\": 4}, {\"name\": \"FOC\", \"id\": 5}, {\"name\": \"WGA\", \"id\": 6}, {\"name\": \"TAK\", \"id\": 7}, {\"name\": \"BUW\", \"id\": 8}], \"links\": [{\"weight\": 492, \"source\": 0, \"target\": 5}, {\"weight\": 15291, \"source\": 0, \"target\": 3}, {\"weight\": 1484, \"source\": 0, \"target\": 7}, {\"weight\": 8377, \"source\": 0, \"target\": 1}, {\"weight\": 12118, \"source\": 0, \"target\": 4}, {\"weight\": 4219, \"source\": 0, \"target\": 8}, {\"weight\": 8718, \"source\": 0, \"target\": 2}, {\"weight\": 7959, \"source\": 0, \"target\": 6}, {\"weight\": 7889, \"source\": 1, \"target\": 5}, {\"weight\": 11181, \"source\": 1, \"target\": 3}, {\"weight\": 8113, \"source\": 1, \"target\": 7}, {\"weight\": 8384, \"source\": 1, \"target\": 4}, {\"weight\": 10945, \"source\": 1, \"target\": 8}, {\"weight\": 1647, \"source\": 1, \"target\": 2}, {\"weight\": 15110, \"source\": 1, \"target\": 6}, {\"weight\": 8284, \"source\": 2, \"target\": 5}, {\"weight\": 11602, \"source\": 2, \"target\": 3}, {\"weight\": 8359, \"source\": 2, \"target\": 7}, {\"weight\": 8813, \"source\": 2, \"target\": 4}, {\"weight\": 11523, \"source\": 2, \"target\": 8}, {\"weight\": 15661, \"source\": 2, \"target\": 6}, {\"weight\": 15446, \"source\": 3, \"target\": 5}, {\"weight\": 13890, \"source\": 3, \"target\": 7}, {\"weight\": 3696, \"source\": 3, \"target\": 4}, {\"weight\": 19087, \"source\": 3, \"target\": 8}, {\"weight\": 16893, \"source\": 3, \"target\": 6}, {\"weight\": 12157, \"source\": 4, \"target\": 5}, {\"weight\": 10707, \"source\": 4, \"target\": 7}, {\"weight\": 15957, \"source\": 4, \"target\": 8}, {\"weight\": 15073, \"source\": 4, \"target\": 6}, {\"weight\": 1779, \"source\": 5, \"target\": 7}, {\"weight\": 4085, \"source\": 5, \"target\": 8}, {\"weight\": 7833, \"source\": 5, \"target\": 6}, {\"weight\": 8801, \"source\": 6, \"target\": 7}, {\"weight\": 5716, \"source\": 6, \"target\": 8}, {\"weight\": 5506, \"source\": 7, \"target\": 8}]}",
"id": 25,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISG, KBP, OZH, NOB, PIA, FOC, WGA, TAK, BUW\n- Travel distances (in kilometers) between each pair of airports:\nISG to FOC: 492\nISG to NOB: 15291\nISG to TAK: 1484\nISG to KBP: 8377\nISG to PIA: 12118\nISG to BUW: 4219\nISG to OZH: 8718\nISG to WGA: 7959\nKBP to FOC: 7889\nKBP to NOB: 11181\nKBP to TAK: 8113\nKBP to PIA: 8384\nKBP to BUW: 10945\nKBP to OZH: 1647\nKBP to WGA: 15110\nOZH to FOC: 8284\nOZH to NOB: 11602\nOZH to TAK: 8359\nOZH to PIA: 8813\nOZH to BUW: 11523\nOZH to WGA: 15661\nNOB to FOC: 15446\nNOB to TAK: 13890\nNOB to PIA: 3696\nNOB to BUW: 19087\nNOB to WGA: 16893\nPIA to FOC: 12157\nPIA to TAK: 10707\nPIA to BUW: 15957\nPIA to WGA: 15073\nFOC to TAK: 1779\nFOC to BUW: 4085\nFOC to WGA: 7833\nWGA to TAK: 8801\nWGA to BUW: 5716\nTAK to BUW: 5506\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YLC, PAS, ATA, URT, AUK, YNZ, LIH, EKO, FMN\n- Travel distances (in kilometers) between each pair of airports:\nYLC to AUK: 7493\nYLC to PAS: 8888\nYLC to LIH: 8640\nYLC to YNZ: 13218\nYLC to URT: 16427\nYLC to EKO: 4969\nYLC to FMN: 4487\nYLC to ATA: 8901\nPAS to AUK: 13305\nPAS to LIH: 14385\nPAS to YNZ: 8566\nPAS to URT: 8621\nPAS to EKO: 10727\nPAS to FMN: 10514\nPAS to ATA: 12350\nATA to AUK: 11436\nATA to LIH: 11176\nATA to YNZ: 17450\nATA to URT: 20491\nATA to EKO: 7606\nATA to FMN: 7087\nURT to AUK: 15676\nURT to LIH: 11330\nURT to YNZ: 3483\nURT to EKO: 13943\nURT to FMN: 14596\nAUK to LIH: 5459\nAUK to YNZ: 12311\nAUK to EKO: 4554\nAUK to FMN: 5150\nYNZ to LIH: 8398\nYNZ to EKO: 10561\nYNZ to FMN: 11214\nLIH to EKO: 5214\nLIH to FMN: 5312\nEKO to FMN: 1412\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56803,
"style": "rule"
}
|
{
"exact_answer": 56803,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YLC\", \"id\": 0}, {\"name\": \"PAS\", \"id\": 1}, {\"name\": \"ATA\", \"id\": 2}, {\"name\": \"URT\", \"id\": 3}, {\"name\": \"AUK\", \"id\": 4}, {\"name\": \"YNZ\", \"id\": 5}, {\"name\": \"LIH\", \"id\": 6}, {\"name\": \"EKO\", \"id\": 7}, {\"name\": \"FMN\", \"id\": 8}], \"links\": [{\"weight\": 7493, \"source\": 0, \"target\": 4}, {\"weight\": 8888, \"source\": 0, \"target\": 1}, {\"weight\": 8640, \"source\": 0, \"target\": 6}, {\"weight\": 13218, \"source\": 0, \"target\": 5}, {\"weight\": 16427, \"source\": 0, \"target\": 3}, {\"weight\": 4969, \"source\": 0, \"target\": 7}, {\"weight\": 4487, \"source\": 0, \"target\": 8}, {\"weight\": 8901, \"source\": 0, \"target\": 2}, {\"weight\": 13305, \"source\": 1, \"target\": 4}, {\"weight\": 14385, \"source\": 1, \"target\": 6}, {\"weight\": 8566, \"source\": 1, \"target\": 5}, {\"weight\": 8621, \"source\": 1, \"target\": 3}, {\"weight\": 10727, \"source\": 1, \"target\": 7}, {\"weight\": 10514, \"source\": 1, \"target\": 8}, {\"weight\": 12350, \"source\": 1, \"target\": 2}, {\"weight\": 11436, \"source\": 2, \"target\": 4}, {\"weight\": 11176, \"source\": 2, \"target\": 6}, {\"weight\": 17450, \"source\": 2, \"target\": 5}, {\"weight\": 20491, \"source\": 2, \"target\": 3}, {\"weight\": 7606, \"source\": 2, \"target\": 7}, {\"weight\": 7087, \"source\": 2, \"target\": 8}, {\"weight\": 15676, \"source\": 3, \"target\": 4}, {\"weight\": 11330, \"source\": 3, \"target\": 6}, {\"weight\": 3483, \"source\": 3, \"target\": 5}, {\"weight\": 13943, \"source\": 3, \"target\": 7}, {\"weight\": 14596, \"source\": 3, \"target\": 8}, {\"weight\": 5459, \"source\": 4, \"target\": 6}, {\"weight\": 12311, \"source\": 4, \"target\": 5}, {\"weight\": 4554, \"source\": 4, \"target\": 7}, {\"weight\": 5150, \"source\": 4, \"target\": 8}, {\"weight\": 8398, \"source\": 5, \"target\": 6}, {\"weight\": 10561, \"source\": 5, \"target\": 7}, {\"weight\": 11214, \"source\": 5, \"target\": 8}, {\"weight\": 5214, \"source\": 6, \"target\": 7}, {\"weight\": 5312, \"source\": 6, \"target\": 8}, {\"weight\": 1412, \"source\": 7, \"target\": 8}]}",
"id": 26,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YLC, PAS, ATA, URT, AUK, YNZ, LIH, EKO, FMN\n- Travel distances (in kilometers) between each pair of airports:\nYLC to AUK: 7493\nYLC to PAS: 8888\nYLC to LIH: 8640\nYLC to YNZ: 13218\nYLC to URT: 16427\nYLC to EKO: 4969\nYLC to FMN: 4487\nYLC to ATA: 8901\nPAS to AUK: 13305\nPAS to LIH: 14385\nPAS to YNZ: 8566\nPAS to URT: 8621\nPAS to EKO: 10727\nPAS to FMN: 10514\nPAS to ATA: 12350\nATA to AUK: 11436\nATA to LIH: 11176\nATA to YNZ: 17450\nATA to URT: 20491\nATA to EKO: 7606\nATA to FMN: 7087\nURT to AUK: 15676\nURT to LIH: 11330\nURT to YNZ: 3483\nURT to EKO: 13943\nURT to FMN: 14596\nAUK to LIH: 5459\nAUK to YNZ: 12311\nAUK to EKO: 4554\nAUK to FMN: 5150\nYNZ to LIH: 8398\nYNZ to EKO: 10561\nYNZ to FMN: 11214\nLIH to EKO: 5214\nLIH to FMN: 5312\nEKO to FMN: 1412\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DLM, CAG, DJB, BIQ, LTI, BHV, KTG, PWM, RCM\n- Travel distances (in kilometers) between each pair of airports:\nDLM to CAG: 2159\nDLM to BIQ: 2959\nDLM to PWM: 8788\nDLM to DJB: 9671\nDLM to BHV: 4884\nDLM to KTG: 10160\nDLM to LTI: 7558\nDLM to RCM: 14109\nCAG to BIQ: 1109\nCAG to PWM: 7285\nCAG to DJB: 10935\nCAG to BHV: 6143\nCAG to KTG: 11424\nCAG to LTI: 8266\nCAG to RCM: 15377\nDJB to BIQ: 11744\nDJB to PWM: 16602\nDJB to BHV: 5514\nDJB to KTG: 1109\nDJB to LTI: 6549\nDJB to RCM: 5018\nBIQ to PWM: 6690\nBIQ to BHV: 6874\nBIQ to KTG: 12233\nBIQ to LTI: 8560\nBIQ to RCM: 16177\nLTI to PWM: 13395\nLTI to BHV: 5393\nLTI to KTG: 6759\nLTI to RCM: 9738\nBHV to PWM: 12137\nBHV to KTG: 6003\nBHV to RCM: 9941\nKTG to PWM: 16384\nKTG to RCM: 4486\nPWM to RCM: 17723\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49084,
"style": "rule"
}
|
{
"exact_answer": 49084,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DLM\", \"id\": 0}, {\"name\": \"CAG\", \"id\": 1}, {\"name\": \"DJB\", \"id\": 2}, {\"name\": \"BIQ\", \"id\": 3}, {\"name\": \"LTI\", \"id\": 4}, {\"name\": \"BHV\", \"id\": 5}, {\"name\": \"KTG\", \"id\": 6}, {\"name\": \"PWM\", \"id\": 7}, {\"name\": \"RCM\", \"id\": 8}], \"links\": [{\"weight\": 2159, \"source\": 0, \"target\": 1}, {\"weight\": 2959, \"source\": 0, \"target\": 3}, {\"weight\": 8788, \"source\": 0, \"target\": 7}, {\"weight\": 9671, \"source\": 0, \"target\": 2}, {\"weight\": 4884, \"source\": 0, \"target\": 5}, {\"weight\": 10160, \"source\": 0, \"target\": 6}, {\"weight\": 7558, \"source\": 0, \"target\": 4}, {\"weight\": 14109, \"source\": 0, \"target\": 8}, {\"weight\": 1109, \"source\": 1, \"target\": 3}, {\"weight\": 7285, \"source\": 1, \"target\": 7}, {\"weight\": 10935, \"source\": 1, \"target\": 2}, {\"weight\": 6143, \"source\": 1, \"target\": 5}, {\"weight\": 11424, \"source\": 1, \"target\": 6}, {\"weight\": 8266, \"source\": 1, \"target\": 4}, {\"weight\": 15377, \"source\": 1, \"target\": 8}, {\"weight\": 11744, \"source\": 2, \"target\": 3}, {\"weight\": 16602, \"source\": 2, \"target\": 7}, {\"weight\": 5514, \"source\": 2, \"target\": 5}, {\"weight\": 1109, \"source\": 2, \"target\": 6}, {\"weight\": 6549, \"source\": 2, \"target\": 4}, {\"weight\": 5018, \"source\": 2, \"target\": 8}, {\"weight\": 6690, \"source\": 3, \"target\": 7}, {\"weight\": 6874, \"source\": 3, \"target\": 5}, {\"weight\": 12233, \"source\": 3, \"target\": 6}, {\"weight\": 8560, \"source\": 3, \"target\": 4}, {\"weight\": 16177, \"source\": 3, \"target\": 8}, {\"weight\": 13395, \"source\": 4, \"target\": 7}, {\"weight\": 5393, \"source\": 4, \"target\": 5}, {\"weight\": 6759, \"source\": 4, \"target\": 6}, {\"weight\": 9738, \"source\": 4, \"target\": 8}, {\"weight\": 12137, \"source\": 5, \"target\": 7}, {\"weight\": 6003, \"source\": 5, \"target\": 6}, {\"weight\": 9941, \"source\": 5, \"target\": 8}, {\"weight\": 16384, \"source\": 6, \"target\": 7}, {\"weight\": 4486, \"source\": 6, \"target\": 8}, {\"weight\": 17723, \"source\": 7, \"target\": 8}]}",
"id": 27,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DLM, CAG, DJB, BIQ, LTI, BHV, KTG, PWM, RCM\n- Travel distances (in kilometers) between each pair of airports:\nDLM to CAG: 2159\nDLM to BIQ: 2959\nDLM to PWM: 8788\nDLM to DJB: 9671\nDLM to BHV: 4884\nDLM to KTG: 10160\nDLM to LTI: 7558\nDLM to RCM: 14109\nCAG to BIQ: 1109\nCAG to PWM: 7285\nCAG to DJB: 10935\nCAG to BHV: 6143\nCAG to KTG: 11424\nCAG to LTI: 8266\nCAG to RCM: 15377\nDJB to BIQ: 11744\nDJB to PWM: 16602\nDJB to BHV: 5514\nDJB to KTG: 1109\nDJB to LTI: 6549\nDJB to RCM: 5018\nBIQ to PWM: 6690\nBIQ to BHV: 6874\nBIQ to KTG: 12233\nBIQ to LTI: 8560\nBIQ to RCM: 16177\nLTI to PWM: 13395\nLTI to BHV: 5393\nLTI to KTG: 6759\nLTI to RCM: 9738\nBHV to PWM: 12137\nBHV to KTG: 6003\nBHV to RCM: 9941\nKTG to PWM: 16384\nKTG to RCM: 4486\nPWM to RCM: 17723\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSM, KBP, HNH, MWA, NSI, RNS, KZB, MGZ, OAL\n- Travel distances (in kilometers) between each pair of airports:\nYSM to KZB: 4475\nYSM to MGZ: 13838\nYSM to MWA: 3378\nYSM to KBP: 9107\nYSM to RNS: 7915\nYSM to OAL: 11438\nYSM to NSI: 13015\nYSM to HNH: 3165\nKBP to KZB: 12071\nKBP to MGZ: 7528\nKBP to MWA: 8753\nKBP to RNS: 2362\nKBP to OAL: 12223\nKBP to NSI: 5530\nKBP to HNH: 10761\nHNH to KZB: 1472\nHNH to MGZ: 14009\nHNH to MWA: 4422\nHNH to RNS: 9569\nHNH to OAL: 12421\nHNH to NSI: 14672\nMWA to KZB: 5426\nMWA to MGZ: 14953\nMWA to RNS: 7148\nMWA to OAL: 8409\nMWA to NSI: 11007\nNSI to KZB: 15590\nNSI to MGZ: 10373\nNSI to RNS: 5439\nNSI to OAL: 9295\nRNS to KZB: 10879\nRNS to MGZ: 9806\nRNS to OAL: 10251\nKZB to MGZ: 15319\nKZB to OAL: 13486\nMGZ to OAL: 19058\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55945,
"style": "rule"
}
|
{
"exact_answer": 55945,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YSM\", \"id\": 0}, {\"name\": \"KBP\", \"id\": 1}, {\"name\": \"HNH\", \"id\": 2}, {\"name\": \"MWA\", \"id\": 3}, {\"name\": \"NSI\", \"id\": 4}, {\"name\": \"RNS\", \"id\": 5}, {\"name\": \"KZB\", \"id\": 6}, {\"name\": \"MGZ\", \"id\": 7}, {\"name\": \"OAL\", \"id\": 8}], \"links\": [{\"weight\": 4475, \"source\": 0, \"target\": 6}, {\"weight\": 13838, \"source\": 0, \"target\": 7}, {\"weight\": 3378, \"source\": 0, \"target\": 3}, {\"weight\": 9107, \"source\": 0, \"target\": 1}, {\"weight\": 7915, \"source\": 0, \"target\": 5}, {\"weight\": 11438, \"source\": 0, \"target\": 8}, {\"weight\": 13015, \"source\": 0, \"target\": 4}, {\"weight\": 3165, \"source\": 0, \"target\": 2}, {\"weight\": 12071, \"source\": 1, \"target\": 6}, {\"weight\": 7528, \"source\": 1, \"target\": 7}, {\"weight\": 8753, \"source\": 1, \"target\": 3}, {\"weight\": 2362, \"source\": 1, \"target\": 5}, {\"weight\": 12223, \"source\": 1, \"target\": 8}, {\"weight\": 5530, \"source\": 1, \"target\": 4}, {\"weight\": 10761, \"source\": 1, \"target\": 2}, {\"weight\": 1472, \"source\": 2, \"target\": 6}, {\"weight\": 14009, \"source\": 2, \"target\": 7}, {\"weight\": 4422, \"source\": 2, \"target\": 3}, {\"weight\": 9569, \"source\": 2, \"target\": 5}, {\"weight\": 12421, \"source\": 2, \"target\": 8}, {\"weight\": 14672, \"source\": 2, \"target\": 4}, {\"weight\": 5426, \"source\": 3, \"target\": 6}, {\"weight\": 14953, \"source\": 3, \"target\": 7}, {\"weight\": 7148, \"source\": 3, \"target\": 5}, {\"weight\": 8409, \"source\": 3, \"target\": 8}, {\"weight\": 11007, \"source\": 3, \"target\": 4}, {\"weight\": 15590, \"source\": 4, \"target\": 6}, {\"weight\": 10373, \"source\": 4, \"target\": 7}, {\"weight\": 5439, \"source\": 4, \"target\": 5}, {\"weight\": 9295, \"source\": 4, \"target\": 8}, {\"weight\": 10879, \"source\": 5, \"target\": 6}, {\"weight\": 9806, \"source\": 5, \"target\": 7}, {\"weight\": 10251, \"source\": 5, \"target\": 8}, {\"weight\": 15319, \"source\": 6, \"target\": 7}, {\"weight\": 13486, \"source\": 6, \"target\": 8}, {\"weight\": 19058, \"source\": 7, \"target\": 8}]}",
"id": 28,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSM, KBP, HNH, MWA, NSI, RNS, KZB, MGZ, OAL\n- Travel distances (in kilometers) between each pair of airports:\nYSM to KZB: 4475\nYSM to MGZ: 13838\nYSM to MWA: 3378\nYSM to KBP: 9107\nYSM to RNS: 7915\nYSM to OAL: 11438\nYSM to NSI: 13015\nYSM to HNH: 3165\nKBP to KZB: 12071\nKBP to MGZ: 7528\nKBP to MWA: 8753\nKBP to RNS: 2362\nKBP to OAL: 12223\nKBP to NSI: 5530\nKBP to HNH: 10761\nHNH to KZB: 1472\nHNH to MGZ: 14009\nHNH to MWA: 4422\nHNH to RNS: 9569\nHNH to OAL: 12421\nHNH to NSI: 14672\nMWA to KZB: 5426\nMWA to MGZ: 14953\nMWA to RNS: 7148\nMWA to OAL: 8409\nMWA to NSI: 11007\nNSI to KZB: 15590\nNSI to MGZ: 10373\nNSI to RNS: 5439\nNSI to OAL: 9295\nRNS to KZB: 10879\nRNS to MGZ: 9806\nRNS to OAL: 10251\nKZB to MGZ: 15319\nKZB to OAL: 13486\nMGZ to OAL: 19058\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, NNG, PAC, AMA, EDR, EQS, YXJ, FKL, FLS\n- Travel distances (in kilometers) between each pair of airports:\nACU to PAC: 170\nACU to NNG: 16850\nACU to EQS: 7067\nACU to YXJ: 6730\nACU to AMA: 4030\nACU to EDR: 18495\nACU to FLS: 18151\nACU to FKL: 4375\nNNG to PAC: 16680\nNNG to EQS: 20649\nNNG to YXJ: 11352\nNNG to AMA: 12919\nNNG to EDR: 6652\nNNG to FLS: 8651\nNNG to FKL: 13061\nPAC to EQS: 6897\nPAC to YXJ: 6560\nPAC to AMA: 3860\nPAC to EDR: 18325\nPAC to FLS: 17981\nPAC to FKL: 4205\nAMA to EQS: 9697\nAMA to YXJ: 2743\nAMA to EDR: 15016\nAMA to FLS: 14744\nAMA to FKL: 2071\nEDR to EQS: 15108\nEDR to YXJ: 14591\nEDR to FLS: 3458\nEDR to FKL: 16880\nEQS to YXJ: 12379\nEQS to FLS: 13768\nEQS to FKL: 9906\nYXJ to FLS: 14387\nYXJ to FKL: 3468\nFKL to FLS: 16608\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51486,
"style": "rule"
}
|
{
"exact_answer": 51486,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACU\", \"id\": 0}, {\"name\": \"NNG\", \"id\": 1}, {\"name\": \"PAC\", \"id\": 2}, {\"name\": \"AMA\", \"id\": 3}, {\"name\": \"EDR\", \"id\": 4}, {\"name\": \"EQS\", \"id\": 5}, {\"name\": \"YXJ\", \"id\": 6}, {\"name\": \"FKL\", \"id\": 7}, {\"name\": \"FLS\", \"id\": 8}], \"links\": [{\"weight\": 170, \"source\": 0, \"target\": 2}, {\"weight\": 16850, \"source\": 0, \"target\": 1}, {\"weight\": 7067, \"source\": 0, \"target\": 5}, {\"weight\": 6730, \"source\": 0, \"target\": 6}, {\"weight\": 4030, \"source\": 0, \"target\": 3}, {\"weight\": 18495, \"source\": 0, \"target\": 4}, {\"weight\": 18151, \"source\": 0, \"target\": 8}, {\"weight\": 4375, \"source\": 0, \"target\": 7}, {\"weight\": 16680, \"source\": 1, \"target\": 2}, {\"weight\": 20649, \"source\": 1, \"target\": 5}, {\"weight\": 11352, \"source\": 1, \"target\": 6}, {\"weight\": 12919, \"source\": 1, \"target\": 3}, {\"weight\": 6652, \"source\": 1, \"target\": 4}, {\"weight\": 8651, \"source\": 1, \"target\": 8}, {\"weight\": 13061, \"source\": 1, \"target\": 7}, {\"weight\": 6897, \"source\": 2, \"target\": 5}, {\"weight\": 6560, \"source\": 2, \"target\": 6}, {\"weight\": 3860, \"source\": 2, \"target\": 3}, {\"weight\": 18325, \"source\": 2, \"target\": 4}, {\"weight\": 17981, \"source\": 2, \"target\": 8}, {\"weight\": 4205, \"source\": 2, \"target\": 7}, {\"weight\": 9697, \"source\": 3, \"target\": 5}, {\"weight\": 2743, \"source\": 3, \"target\": 6}, {\"weight\": 15016, \"source\": 3, \"target\": 4}, {\"weight\": 14744, \"source\": 3, \"target\": 8}, {\"weight\": 2071, \"source\": 3, \"target\": 7}, {\"weight\": 15108, \"source\": 4, \"target\": 5}, {\"weight\": 14591, \"source\": 4, \"target\": 6}, {\"weight\": 3458, \"source\": 4, \"target\": 8}, {\"weight\": 16880, \"source\": 4, \"target\": 7}, {\"weight\": 12379, \"source\": 5, \"target\": 6}, {\"weight\": 13768, \"source\": 5, \"target\": 8}, {\"weight\": 9906, \"source\": 5, \"target\": 7}, {\"weight\": 14387, \"source\": 6, \"target\": 8}, {\"weight\": 3468, \"source\": 6, \"target\": 7}, {\"weight\": 16608, \"source\": 7, \"target\": 8}]}",
"id": 29,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, NNG, PAC, AMA, EDR, EQS, YXJ, FKL, FLS\n- Travel distances (in kilometers) between each pair of airports:\nACU to PAC: 170\nACU to NNG: 16850\nACU to EQS: 7067\nACU to YXJ: 6730\nACU to AMA: 4030\nACU to EDR: 18495\nACU to FLS: 18151\nACU to FKL: 4375\nNNG to PAC: 16680\nNNG to EQS: 20649\nNNG to YXJ: 11352\nNNG to AMA: 12919\nNNG to EDR: 6652\nNNG to FLS: 8651\nNNG to FKL: 13061\nPAC to EQS: 6897\nPAC to YXJ: 6560\nPAC to AMA: 3860\nPAC to EDR: 18325\nPAC to FLS: 17981\nPAC to FKL: 4205\nAMA to EQS: 9697\nAMA to YXJ: 2743\nAMA to EDR: 15016\nAMA to FLS: 14744\nAMA to FKL: 2071\nEDR to EQS: 15108\nEDR to YXJ: 14591\nEDR to FLS: 3458\nEDR to FKL: 16880\nEQS to YXJ: 12379\nEQS to FLS: 13768\nEQS to FKL: 9906\nYXJ to FLS: 14387\nYXJ to FKL: 3468\nFKL to FLS: 16608\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CEG, NAP, RSA, YCL, MDZ, KHQ, CIT, LKL\n- Travel distances (in kilometers) between each pair of airports:\nWJR to NAP: 5772\nWJR to MDZ: 12191\nWJR to RSA: 11986\nWJR to CIT: 5387\nWJR to KHQ: 11095\nWJR to YCL: 12147\nWJR to CEG: 7467\nWJR to LKL: 8325\nCEG to NAP: 1947\nCEG to MDZ: 12039\nCEG to RSA: 11878\nCEG to CIT: 5597\nCEG to KHQ: 4614\nCEG to YCL: 5969\nCEG to LKL: 2815\nNAP to MDZ: 12048\nNAP to RSA: 11901\nNAP to CIT: 4557\nNAP to KHQ: 5953\nNAP to YCL: 6620\nNAP to LKL: 3445\nRSA to MDZ: 1554\nRSA to CIT: 16172\nRSA to KHQ: 16055\nRSA to YCL: 10417\nRSA to LKL: 14220\nYCL to MDZ: 9346\nYCL to CIT: 10226\nYCL to KHQ: 7542\nYCL to LKL: 7481\nMDZ to CIT: 16319\nMDZ to KHQ: 15107\nMDZ to LKL: 14367\nKHQ to CIT: 8591\nKHQ to LKL: 5238\nCIT to LKL: 4994\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50372,
"style": "rule"
}
|
{
"exact_answer": 50372,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WJR\", \"id\": 0}, {\"name\": \"CEG\", \"id\": 1}, {\"name\": \"NAP\", \"id\": 2}, {\"name\": \"RSA\", \"id\": 3}, {\"name\": \"YCL\", \"id\": 4}, {\"name\": \"MDZ\", \"id\": 5}, {\"name\": \"KHQ\", \"id\": 6}, {\"name\": \"CIT\", \"id\": 7}, {\"name\": \"LKL\", \"id\": 8}], \"links\": [{\"weight\": 5772, \"source\": 0, \"target\": 2}, {\"weight\": 12191, \"source\": 0, \"target\": 5}, {\"weight\": 11986, \"source\": 0, \"target\": 3}, {\"weight\": 5387, \"source\": 0, \"target\": 7}, {\"weight\": 11095, \"source\": 0, \"target\": 6}, {\"weight\": 12147, \"source\": 0, \"target\": 4}, {\"weight\": 7467, \"source\": 0, \"target\": 1}, {\"weight\": 8325, \"source\": 0, \"target\": 8}, {\"weight\": 1947, \"source\": 1, \"target\": 2}, {\"weight\": 12039, \"source\": 1, \"target\": 5}, {\"weight\": 11878, \"source\": 1, \"target\": 3}, {\"weight\": 5597, \"source\": 1, \"target\": 7}, {\"weight\": 4614, \"source\": 1, \"target\": 6}, {\"weight\": 5969, \"source\": 1, \"target\": 4}, {\"weight\": 2815, \"source\": 1, \"target\": 8}, {\"weight\": 12048, \"source\": 2, \"target\": 5}, {\"weight\": 11901, \"source\": 2, \"target\": 3}, {\"weight\": 4557, \"source\": 2, \"target\": 7}, {\"weight\": 5953, \"source\": 2, \"target\": 6}, {\"weight\": 6620, \"source\": 2, \"target\": 4}, {\"weight\": 3445, \"source\": 2, \"target\": 8}, {\"weight\": 1554, \"source\": 3, \"target\": 5}, {\"weight\": 16172, \"source\": 3, \"target\": 7}, {\"weight\": 16055, \"source\": 3, \"target\": 6}, {\"weight\": 10417, \"source\": 3, \"target\": 4}, {\"weight\": 14220, \"source\": 3, \"target\": 8}, {\"weight\": 9346, \"source\": 4, \"target\": 5}, {\"weight\": 10226, \"source\": 4, \"target\": 7}, {\"weight\": 7542, \"source\": 4, \"target\": 6}, {\"weight\": 7481, \"source\": 4, \"target\": 8}, {\"weight\": 16319, \"source\": 5, \"target\": 7}, {\"weight\": 15107, \"source\": 5, \"target\": 6}, {\"weight\": 14367, \"source\": 5, \"target\": 8}, {\"weight\": 8591, \"source\": 6, \"target\": 7}, {\"weight\": 5238, \"source\": 6, \"target\": 8}, {\"weight\": 4994, \"source\": 7, \"target\": 8}]}",
"id": 30,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CEG, NAP, RSA, YCL, MDZ, KHQ, CIT, LKL\n- Travel distances (in kilometers) between each pair of airports:\nWJR to NAP: 5772\nWJR to MDZ: 12191\nWJR to RSA: 11986\nWJR to CIT: 5387\nWJR to KHQ: 11095\nWJR to YCL: 12147\nWJR to CEG: 7467\nWJR to LKL: 8325\nCEG to NAP: 1947\nCEG to MDZ: 12039\nCEG to RSA: 11878\nCEG to CIT: 5597\nCEG to KHQ: 4614\nCEG to YCL: 5969\nCEG to LKL: 2815\nNAP to MDZ: 12048\nNAP to RSA: 11901\nNAP to CIT: 4557\nNAP to KHQ: 5953\nNAP to YCL: 6620\nNAP to LKL: 3445\nRSA to MDZ: 1554\nRSA to CIT: 16172\nRSA to KHQ: 16055\nRSA to YCL: 10417\nRSA to LKL: 14220\nYCL to MDZ: 9346\nYCL to CIT: 10226\nYCL to KHQ: 7542\nYCL to LKL: 7481\nMDZ to CIT: 16319\nMDZ to KHQ: 15107\nMDZ to LKL: 14367\nKHQ to CIT: 8591\nKHQ to LKL: 5238\nCIT to LKL: 4994\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DLM, PHS, WNN, NAJ, KIX, POZ, LGG, EVN, KYA\n- Travel distances (in kilometers) between each pair of airports:\nDLM to KIX: 9267\nDLM to POZ: 2125\nDLM to EVN: 1992\nDLM to LGG: 2934\nDLM to PHS: 7969\nDLM to KYA: 895\nDLM to NAJ: 1954\nDLM to WNN: 10067\nPHS to KIX: 4238\nPHS to POZ: 8583\nPHS to EVN: 6310\nPHS to LGG: 9793\nPHS to KYA: 7930\nPHS to NAJ: 6259\nPHS to WNN: 14270\nWNN to KIX: 10373\nWNN to POZ: 8254\nWNN to EVN: 10687\nWNN to LGG: 8245\nWNN to KYA: 10199\nWNN to NAJ: 11019\nNAJ to KIX: 7765\nNAJ to POZ: 3089\nNAJ to EVN: 1577\nNAJ to LGG: 3898\nNAJ to KYA: 1958\nKIX to POZ: 8798\nKIX to EVN: 7801\nKIX to LGG: 10109\nKIX to KYA: 9243\nPOZ to EVN: 2510\nPOZ to LGG: 1760\nPOZ to KYA: 2119\nLGG to EVN: 3660\nLGG to KYA: 2938\nEVN to KYA: 1996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 37458,
"style": "rule"
}
|
{
"exact_answer": 37458,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DLM\", \"id\": 0}, {\"name\": \"PHS\", \"id\": 1}, {\"name\": \"WNN\", \"id\": 2}, {\"name\": \"NAJ\", \"id\": 3}, {\"name\": \"KIX\", \"id\": 4}, {\"name\": \"POZ\", \"id\": 5}, {\"name\": \"LGG\", \"id\": 6}, {\"name\": \"EVN\", \"id\": 7}, {\"name\": \"KYA\", \"id\": 8}], \"links\": [{\"weight\": 9267, \"source\": 0, \"target\": 4}, {\"weight\": 2125, \"source\": 0, \"target\": 5}, {\"weight\": 1992, \"source\": 0, \"target\": 7}, {\"weight\": 2934, \"source\": 0, \"target\": 6}, {\"weight\": 7969, \"source\": 0, \"target\": 1}, {\"weight\": 895, \"source\": 0, \"target\": 8}, {\"weight\": 1954, \"source\": 0, \"target\": 3}, {\"weight\": 10067, \"source\": 0, \"target\": 2}, {\"weight\": 4238, \"source\": 1, \"target\": 4}, {\"weight\": 8583, \"source\": 1, \"target\": 5}, {\"weight\": 6310, \"source\": 1, \"target\": 7}, {\"weight\": 9793, \"source\": 1, \"target\": 6}, {\"weight\": 7930, \"source\": 1, \"target\": 8}, {\"weight\": 6259, \"source\": 1, \"target\": 3}, {\"weight\": 14270, \"source\": 1, \"target\": 2}, {\"weight\": 10373, \"source\": 2, \"target\": 4}, {\"weight\": 8254, \"source\": 2, \"target\": 5}, {\"weight\": 10687, \"source\": 2, \"target\": 7}, {\"weight\": 8245, \"source\": 2, \"target\": 6}, {\"weight\": 10199, \"source\": 2, \"target\": 8}, {\"weight\": 11019, \"source\": 2, \"target\": 3}, {\"weight\": 7765, \"source\": 3, \"target\": 4}, {\"weight\": 3089, \"source\": 3, \"target\": 5}, {\"weight\": 1577, \"source\": 3, \"target\": 7}, {\"weight\": 3898, \"source\": 3, \"target\": 6}, {\"weight\": 1958, \"source\": 3, \"target\": 8}, {\"weight\": 8798, \"source\": 4, \"target\": 5}, {\"weight\": 7801, \"source\": 4, \"target\": 7}, {\"weight\": 10109, \"source\": 4, \"target\": 6}, {\"weight\": 9243, \"source\": 4, \"target\": 8}, {\"weight\": 2510, \"source\": 5, \"target\": 7}, {\"weight\": 1760, \"source\": 5, \"target\": 6}, {\"weight\": 2119, \"source\": 5, \"target\": 8}, {\"weight\": 3660, \"source\": 6, \"target\": 7}, {\"weight\": 2938, \"source\": 6, \"target\": 8}, {\"weight\": 1996, \"source\": 7, \"target\": 8}]}",
"id": 31,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DLM, PHS, WNN, NAJ, KIX, POZ, LGG, EVN, KYA\n- Travel distances (in kilometers) between each pair of airports:\nDLM to KIX: 9267\nDLM to POZ: 2125\nDLM to EVN: 1992\nDLM to LGG: 2934\nDLM to PHS: 7969\nDLM to KYA: 895\nDLM to NAJ: 1954\nDLM to WNN: 10067\nPHS to KIX: 4238\nPHS to POZ: 8583\nPHS to EVN: 6310\nPHS to LGG: 9793\nPHS to KYA: 7930\nPHS to NAJ: 6259\nPHS to WNN: 14270\nWNN to KIX: 10373\nWNN to POZ: 8254\nWNN to EVN: 10687\nWNN to LGG: 8245\nWNN to KYA: 10199\nWNN to NAJ: 11019\nNAJ to KIX: 7765\nNAJ to POZ: 3089\nNAJ to EVN: 1577\nNAJ to LGG: 3898\nNAJ to KYA: 1958\nKIX to POZ: 8798\nKIX to EVN: 7801\nKIX to LGG: 10109\nKIX to KYA: 9243\nPOZ to EVN: 2510\nPOZ to LGG: 1760\nPOZ to KYA: 2119\nLGG to EVN: 3660\nLGG to KYA: 2938\nEVN to KYA: 1996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AFL, AZN, DSN, MMK, GOU, ETR, YFJ, LLF\n- Travel distances (in kilometers) between each pair of airports:\nBME to DSN: 7251\nBME to MMK: 13315\nBME to YFJ: 16747\nBME to AFL: 19055\nBME to LLF: 5792\nBME to ETR: 18931\nBME to AZN: 9344\nBME to GOU: 13888\nAFL to DSN: 18349\nAFL to MMK: 13183\nAFL to YFJ: 11711\nAFL to LLF: 19521\nAFL to ETR: 6537\nAFL to AZN: 15363\nAFL to GOU: 9703\nAZN to DSN: 3688\nAZN to MMK: 4501\nAZN to YFJ: 12445\nAZN to LLF: 4860\nAZN to ETR: 15087\nAZN to GOU: 7063\nDSN to MMK: 7085\nDSN to YFJ: 11071\nDSN to LLF: 1536\nDSN to ETR: 16333\nDSN to GOU: 10117\nMMK to YFJ: 9092\nMMK to LLF: 8257\nMMK to ETR: 12084\nMMK to GOU: 6922\nGOU to YFJ: 12983\nGOU to LLF: 10514\nGOU to ETR: 12567\nETR to YFJ: 8414\nETR to LLF: 17338\nYFJ to LLF: 11990\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63151,
"style": "rule"
}
|
{
"exact_answer": 63151,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BME\", \"id\": 0}, {\"name\": \"AFL\", \"id\": 1}, {\"name\": \"AZN\", \"id\": 2}, {\"name\": \"DSN\", \"id\": 3}, {\"name\": \"MMK\", \"id\": 4}, {\"name\": \"GOU\", \"id\": 5}, {\"name\": \"ETR\", \"id\": 6}, {\"name\": \"YFJ\", \"id\": 7}, {\"name\": \"LLF\", \"id\": 8}], \"links\": [{\"weight\": 7251, \"source\": 0, \"target\": 3}, {\"weight\": 13315, \"source\": 0, \"target\": 4}, {\"weight\": 16747, \"source\": 0, \"target\": 7}, {\"weight\": 19055, \"source\": 0, \"target\": 1}, {\"weight\": 5792, \"source\": 0, \"target\": 8}, {\"weight\": 18931, \"source\": 0, \"target\": 6}, {\"weight\": 9344, \"source\": 0, \"target\": 2}, {\"weight\": 13888, \"source\": 0, \"target\": 5}, {\"weight\": 18349, \"source\": 1, \"target\": 3}, {\"weight\": 13183, \"source\": 1, \"target\": 4}, {\"weight\": 11711, \"source\": 1, \"target\": 7}, {\"weight\": 19521, \"source\": 1, \"target\": 8}, {\"weight\": 6537, \"source\": 1, \"target\": 6}, {\"weight\": 15363, \"source\": 1, \"target\": 2}, {\"weight\": 9703, \"source\": 1, \"target\": 5}, {\"weight\": 3688, \"source\": 2, \"target\": 3}, {\"weight\": 4501, \"source\": 2, \"target\": 4}, {\"weight\": 12445, \"source\": 2, \"target\": 7}, {\"weight\": 4860, \"source\": 2, \"target\": 8}, {\"weight\": 15087, \"source\": 2, \"target\": 6}, {\"weight\": 7063, \"source\": 2, \"target\": 5}, {\"weight\": 7085, \"source\": 3, \"target\": 4}, {\"weight\": 11071, \"source\": 3, \"target\": 7}, {\"weight\": 1536, \"source\": 3, \"target\": 8}, {\"weight\": 16333, \"source\": 3, \"target\": 6}, {\"weight\": 10117, \"source\": 3, \"target\": 5}, {\"weight\": 9092, \"source\": 4, \"target\": 7}, {\"weight\": 8257, \"source\": 4, \"target\": 8}, {\"weight\": 12084, \"source\": 4, \"target\": 6}, {\"weight\": 6922, \"source\": 4, \"target\": 5}, {\"weight\": 12983, \"source\": 5, \"target\": 7}, {\"weight\": 10514, \"source\": 5, \"target\": 8}, {\"weight\": 12567, \"source\": 5, \"target\": 6}, {\"weight\": 8414, \"source\": 6, \"target\": 7}, {\"weight\": 17338, \"source\": 6, \"target\": 8}, {\"weight\": 11990, \"source\": 7, \"target\": 8}]}",
"id": 32,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AFL, AZN, DSN, MMK, GOU, ETR, YFJ, LLF\n- Travel distances (in kilometers) between each pair of airports:\nBME to DSN: 7251\nBME to MMK: 13315\nBME to YFJ: 16747\nBME to AFL: 19055\nBME to LLF: 5792\nBME to ETR: 18931\nBME to AZN: 9344\nBME to GOU: 13888\nAFL to DSN: 18349\nAFL to MMK: 13183\nAFL to YFJ: 11711\nAFL to LLF: 19521\nAFL to ETR: 6537\nAFL to AZN: 15363\nAFL to GOU: 9703\nAZN to DSN: 3688\nAZN to MMK: 4501\nAZN to YFJ: 12445\nAZN to LLF: 4860\nAZN to ETR: 15087\nAZN to GOU: 7063\nDSN to MMK: 7085\nDSN to YFJ: 11071\nDSN to LLF: 1536\nDSN to ETR: 16333\nDSN to GOU: 10117\nMMK to YFJ: 9092\nMMK to LLF: 8257\nMMK to ETR: 12084\nMMK to GOU: 6922\nGOU to YFJ: 12983\nGOU to LLF: 10514\nGOU to ETR: 12567\nETR to YFJ: 8414\nETR to LLF: 17338\nYFJ to LLF: 11990\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PEI, PPT, LHE, BUL, KRN, KWT, HRB, LEN, TUB\n- Travel distances (in kilometers) between each pair of airports:\nPEI to HRB: 15724\nPEI to KWT: 9386\nPEI to PPT: 12077\nPEI to LHE: 14973\nPEI to BUL: 18001\nPEI to KRN: 10935\nPEI to LEN: 9344\nPEI to TUB: 12723\nPPT to TUB: 646\nPPT to HRB: 11073\nPPT to KWT: 9550\nPPT to LHE: 15737\nPPT to BUL: 8104\nPPT to KRN: 16389\nPPT to LEN: 17135\nLHE to HRB: 5157\nLHE to KWT: 15823\nLHE to BUL: 9478\nLHE to KRN: 6230\nLHE to LEN: 7032\nLHE to TUB: 16383\nBUL to HRB: 6961\nBUL to KWT: 13884\nBUL to KRN: 14440\nBUL to LEN: 16048\nBUL to TUB: 8750\nKRN to HRB: 7765\nKRN to KWT: 11853\nKRN to LEN: 3884\nKRN to TUB: 17035\nKWT to HRB: 12265\nKWT to LEN: 12447\nKWT to TUB: 10196\nHRB to LEN: 9578\nHRB to TUB: 11719\nLEN to TUB: 17781\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59908,
"style": "rule"
}
|
{
"exact_answer": 59908,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PEI\", \"id\": 0}, {\"name\": \"PPT\", \"id\": 1}, {\"name\": \"LHE\", \"id\": 2}, {\"name\": \"BUL\", \"id\": 3}, {\"name\": \"KRN\", \"id\": 4}, {\"name\": \"KWT\", \"id\": 5}, {\"name\": \"HRB\", \"id\": 6}, {\"name\": \"LEN\", \"id\": 7}, {\"name\": \"TUB\", \"id\": 8}], \"links\": [{\"weight\": 15724, \"source\": 0, \"target\": 6}, {\"weight\": 9386, \"source\": 0, \"target\": 5}, {\"weight\": 12077, \"source\": 0, \"target\": 1}, {\"weight\": 14973, \"source\": 0, \"target\": 2}, {\"weight\": 18001, \"source\": 0, \"target\": 3}, {\"weight\": 10935, \"source\": 0, \"target\": 4}, {\"weight\": 9344, \"source\": 0, \"target\": 7}, {\"weight\": 12723, \"source\": 0, \"target\": 8}, {\"weight\": 646, \"source\": 1, \"target\": 8}, {\"weight\": 11073, \"source\": 1, \"target\": 6}, {\"weight\": 9550, \"source\": 1, \"target\": 5}, {\"weight\": 15737, \"source\": 1, \"target\": 2}, {\"weight\": 8104, \"source\": 1, \"target\": 3}, {\"weight\": 16389, \"source\": 1, \"target\": 4}, {\"weight\": 17135, \"source\": 1, \"target\": 7}, {\"weight\": 5157, \"source\": 2, \"target\": 6}, {\"weight\": 15823, \"source\": 2, \"target\": 5}, {\"weight\": 9478, \"source\": 2, \"target\": 3}, {\"weight\": 6230, \"source\": 2, \"target\": 4}, {\"weight\": 7032, \"source\": 2, \"target\": 7}, {\"weight\": 16383, \"source\": 2, \"target\": 8}, {\"weight\": 6961, \"source\": 3, \"target\": 6}, {\"weight\": 13884, \"source\": 3, \"target\": 5}, {\"weight\": 14440, \"source\": 3, \"target\": 4}, {\"weight\": 16048, \"source\": 3, \"target\": 7}, {\"weight\": 8750, \"source\": 3, \"target\": 8}, {\"weight\": 7765, \"source\": 4, \"target\": 6}, {\"weight\": 11853, \"source\": 4, \"target\": 5}, {\"weight\": 3884, \"source\": 4, \"target\": 7}, {\"weight\": 17035, \"source\": 4, \"target\": 8}, {\"weight\": 12265, \"source\": 5, \"target\": 6}, {\"weight\": 12447, \"source\": 5, \"target\": 7}, {\"weight\": 10196, \"source\": 5, \"target\": 8}, {\"weight\": 9578, \"source\": 6, \"target\": 7}, {\"weight\": 11719, \"source\": 6, \"target\": 8}, {\"weight\": 17781, \"source\": 7, \"target\": 8}]}",
"id": 33,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PEI, PPT, LHE, BUL, KRN, KWT, HRB, LEN, TUB\n- Travel distances (in kilometers) between each pair of airports:\nPEI to HRB: 15724\nPEI to KWT: 9386\nPEI to PPT: 12077\nPEI to LHE: 14973\nPEI to BUL: 18001\nPEI to KRN: 10935\nPEI to LEN: 9344\nPEI to TUB: 12723\nPPT to TUB: 646\nPPT to HRB: 11073\nPPT to KWT: 9550\nPPT to LHE: 15737\nPPT to BUL: 8104\nPPT to KRN: 16389\nPPT to LEN: 17135\nLHE to HRB: 5157\nLHE to KWT: 15823\nLHE to BUL: 9478\nLHE to KRN: 6230\nLHE to LEN: 7032\nLHE to TUB: 16383\nBUL to HRB: 6961\nBUL to KWT: 13884\nBUL to KRN: 14440\nBUL to LEN: 16048\nBUL to TUB: 8750\nKRN to HRB: 7765\nKRN to KWT: 11853\nKRN to LEN: 3884\nKRN to TUB: 17035\nKWT to HRB: 12265\nKWT to LEN: 12447\nKWT to TUB: 10196\nHRB to LEN: 9578\nHRB to TUB: 11719\nLEN to TUB: 17781\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TTN, FUG, XSB, EAE, SHH, BOG, KSU, MRY, LDB\n- Travel distances (in kilometers) between each pair of airports:\nTTN to BOG: 4114\nTTN to SHH: 6693\nTTN to MRY: 4071\nTTN to LDB: 8511\nTTN to KSU: 6875\nTTN to FUG: 12195\nTTN to EAE: 13815\nTTN to XSB: 12293\nFUG to BOG: 15727\nFUG to SHH: 12866\nFUG to MRY: 10421\nFUG to LDB: 18521\nFUG to KSU: 8189\nFUG to EAE: 8795\nFUG to XSB: 6303\nXSB to BOG: 13959\nXSB to SHH: 15608\nXSB to MRY: 13441\nXSB to LDB: 12988\nXSB to KSU: 5797\nXSB to EAE: 13833\nEAE to BOG: 15524\nEAE to SHH: 11672\nEAE to MRY: 10119\nEAE to LDB: 14694\nEAE to KSU: 16518\nSHH to BOG: 9887\nSHH to MRY: 4545\nSHH to LDB: 14299\nSHH to KSU: 10986\nBOG to MRY: 6028\nBOG to LDB: 4811\nBOG to KSU: 9683\nKSU to MRY: 8707\nKSU to LDB: 11277\nMRY to LDB: 10708\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61385,
"style": "rule"
}
|
{
"exact_answer": 61385,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TTN\", \"id\": 0}, {\"name\": \"FUG\", \"id\": 1}, {\"name\": \"XSB\", \"id\": 2}, {\"name\": \"EAE\", \"id\": 3}, {\"name\": \"SHH\", \"id\": 4}, {\"name\": \"BOG\", \"id\": 5}, {\"name\": \"KSU\", \"id\": 6}, {\"name\": \"MRY\", \"id\": 7}, {\"name\": \"LDB\", \"id\": 8}], \"links\": [{\"weight\": 4114, \"source\": 0, \"target\": 5}, {\"weight\": 6693, \"source\": 0, \"target\": 4}, {\"weight\": 4071, \"source\": 0, \"target\": 7}, {\"weight\": 8511, \"source\": 0, \"target\": 8}, {\"weight\": 6875, \"source\": 0, \"target\": 6}, {\"weight\": 12195, \"source\": 0, \"target\": 1}, {\"weight\": 13815, \"source\": 0, \"target\": 3}, {\"weight\": 12293, \"source\": 0, \"target\": 2}, {\"weight\": 15727, \"source\": 1, \"target\": 5}, {\"weight\": 12866, \"source\": 1, \"target\": 4}, {\"weight\": 10421, \"source\": 1, \"target\": 7}, {\"weight\": 18521, \"source\": 1, \"target\": 8}, {\"weight\": 8189, \"source\": 1, \"target\": 6}, {\"weight\": 8795, \"source\": 1, \"target\": 3}, {\"weight\": 6303, \"source\": 1, \"target\": 2}, {\"weight\": 13959, \"source\": 2, \"target\": 5}, {\"weight\": 15608, \"source\": 2, \"target\": 4}, {\"weight\": 13441, \"source\": 2, \"target\": 7}, {\"weight\": 12988, \"source\": 2, \"target\": 8}, {\"weight\": 5797, \"source\": 2, \"target\": 6}, {\"weight\": 13833, \"source\": 2, \"target\": 3}, {\"weight\": 15524, \"source\": 3, \"target\": 5}, {\"weight\": 11672, \"source\": 3, \"target\": 4}, {\"weight\": 10119, \"source\": 3, \"target\": 7}, {\"weight\": 14694, \"source\": 3, \"target\": 8}, {\"weight\": 16518, \"source\": 3, \"target\": 6}, {\"weight\": 9887, \"source\": 4, \"target\": 5}, {\"weight\": 4545, \"source\": 4, \"target\": 7}, {\"weight\": 14299, \"source\": 4, \"target\": 8}, {\"weight\": 10986, \"source\": 4, \"target\": 6}, {\"weight\": 6028, \"source\": 5, \"target\": 7}, {\"weight\": 4811, \"source\": 5, \"target\": 8}, {\"weight\": 9683, \"source\": 5, \"target\": 6}, {\"weight\": 8707, \"source\": 6, \"target\": 7}, {\"weight\": 11277, \"source\": 6, \"target\": 8}, {\"weight\": 10708, \"source\": 7, \"target\": 8}]}",
"id": 34,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TTN, FUG, XSB, EAE, SHH, BOG, KSU, MRY, LDB\n- Travel distances (in kilometers) between each pair of airports:\nTTN to BOG: 4114\nTTN to SHH: 6693\nTTN to MRY: 4071\nTTN to LDB: 8511\nTTN to KSU: 6875\nTTN to FUG: 12195\nTTN to EAE: 13815\nTTN to XSB: 12293\nFUG to BOG: 15727\nFUG to SHH: 12866\nFUG to MRY: 10421\nFUG to LDB: 18521\nFUG to KSU: 8189\nFUG to EAE: 8795\nFUG to XSB: 6303\nXSB to BOG: 13959\nXSB to SHH: 15608\nXSB to MRY: 13441\nXSB to LDB: 12988\nXSB to KSU: 5797\nXSB to EAE: 13833\nEAE to BOG: 15524\nEAE to SHH: 11672\nEAE to MRY: 10119\nEAE to LDB: 14694\nEAE to KSU: 16518\nSHH to BOG: 9887\nSHH to MRY: 4545\nSHH to LDB: 14299\nSHH to KSU: 10986\nBOG to MRY: 6028\nBOG to LDB: 4811\nBOG to KSU: 9683\nKSU to MRY: 8707\nKSU to LDB: 11277\nMRY to LDB: 10708\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELS, LTO, GDL, KLU, MLN, NKG, GRI, FKL, FLO\n- Travel distances (in kilometers) between each pair of airports:\nELS to NKG: 12224\nELS to GDL: 16099\nELS to KLU: 9631\nELS to FLO: 14560\nELS to GRI: 16427\nELS to LTO: 18589\nELS to MLN: 9059\nELS to FKL: 14445\nLTO to NKG: 11681\nLTO to GDL: 3220\nLTO to KLU: 11005\nLTO to FLO: 4685\nLTO to GRI: 3054\nLTO to MLN: 10999\nLTO to FKL: 4576\nGDL to NKG: 12669\nGDL to KLU: 10296\nGDL to FLO: 2886\nGDL to GRI: 2413\nGDL to MLN: 9662\nGDL to FKL: 3242\nKLU to NKG: 8635\nKLU to FLO: 7791\nKLU to GRI: 9737\nKLU to MLN: 2410\nKLU to FKL: 7390\nMLN to NKG: 10534\nMLN to FLO: 7107\nMLN to GRI: 9214\nMLN to FKL: 6869\nNKG to FLO: 12559\nNKG to GRI: 12168\nNKG to FKL: 11913\nGRI to FLO: 2565\nGRI to FKL: 2710\nFKL to FLO: 1017\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51979,
"style": "rule"
}
|
{
"exact_answer": 51979,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ELS\", \"id\": 0}, {\"name\": \"LTO\", \"id\": 1}, {\"name\": \"GDL\", \"id\": 2}, {\"name\": \"KLU\", \"id\": 3}, {\"name\": \"MLN\", \"id\": 4}, {\"name\": \"NKG\", \"id\": 5}, {\"name\": \"GRI\", \"id\": 6}, {\"name\": \"FKL\", \"id\": 7}, {\"name\": \"FLO\", \"id\": 8}], \"links\": [{\"weight\": 12224, \"source\": 0, \"target\": 5}, {\"weight\": 16099, \"source\": 0, \"target\": 2}, {\"weight\": 9631, \"source\": 0, \"target\": 3}, {\"weight\": 14560, \"source\": 0, \"target\": 8}, {\"weight\": 16427, \"source\": 0, \"target\": 6}, {\"weight\": 18589, \"source\": 0, \"target\": 1}, {\"weight\": 9059, \"source\": 0, \"target\": 4}, {\"weight\": 14445, \"source\": 0, \"target\": 7}, {\"weight\": 11681, \"source\": 1, \"target\": 5}, {\"weight\": 3220, \"source\": 1, \"target\": 2}, {\"weight\": 11005, \"source\": 1, \"target\": 3}, {\"weight\": 4685, \"source\": 1, \"target\": 8}, {\"weight\": 3054, \"source\": 1, \"target\": 6}, {\"weight\": 10999, \"source\": 1, \"target\": 4}, {\"weight\": 4576, \"source\": 1, \"target\": 7}, {\"weight\": 12669, \"source\": 2, \"target\": 5}, {\"weight\": 10296, \"source\": 2, \"target\": 3}, {\"weight\": 2886, \"source\": 2, \"target\": 8}, {\"weight\": 2413, \"source\": 2, \"target\": 6}, {\"weight\": 9662, \"source\": 2, \"target\": 4}, {\"weight\": 3242, \"source\": 2, \"target\": 7}, {\"weight\": 8635, \"source\": 3, \"target\": 5}, {\"weight\": 7791, \"source\": 3, \"target\": 8}, {\"weight\": 9737, \"source\": 3, \"target\": 6}, {\"weight\": 2410, \"source\": 3, \"target\": 4}, {\"weight\": 7390, \"source\": 3, \"target\": 7}, {\"weight\": 10534, \"source\": 4, \"target\": 5}, {\"weight\": 7107, \"source\": 4, \"target\": 8}, {\"weight\": 9214, \"source\": 4, \"target\": 6}, {\"weight\": 6869, \"source\": 4, \"target\": 7}, {\"weight\": 12559, \"source\": 5, \"target\": 8}, {\"weight\": 12168, \"source\": 5, \"target\": 6}, {\"weight\": 11913, \"source\": 5, \"target\": 7}, {\"weight\": 2565, \"source\": 6, \"target\": 8}, {\"weight\": 2710, \"source\": 6, \"target\": 7}, {\"weight\": 1017, \"source\": 7, \"target\": 8}]}",
"id": 35,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELS, LTO, GDL, KLU, MLN, NKG, GRI, FKL, FLO\n- Travel distances (in kilometers) between each pair of airports:\nELS to NKG: 12224\nELS to GDL: 16099\nELS to KLU: 9631\nELS to FLO: 14560\nELS to GRI: 16427\nELS to LTO: 18589\nELS to MLN: 9059\nELS to FKL: 14445\nLTO to NKG: 11681\nLTO to GDL: 3220\nLTO to KLU: 11005\nLTO to FLO: 4685\nLTO to GRI: 3054\nLTO to MLN: 10999\nLTO to FKL: 4576\nGDL to NKG: 12669\nGDL to KLU: 10296\nGDL to FLO: 2886\nGDL to GRI: 2413\nGDL to MLN: 9662\nGDL to FKL: 3242\nKLU to NKG: 8635\nKLU to FLO: 7791\nKLU to GRI: 9737\nKLU to MLN: 2410\nKLU to FKL: 7390\nMLN to NKG: 10534\nMLN to FLO: 7107\nMLN to GRI: 9214\nMLN to FKL: 6869\nNKG to FLO: 12559\nNKG to GRI: 12168\nNKG to FKL: 11913\nGRI to FLO: 2565\nGRI to FKL: 2710\nFKL to FLO: 1017\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AOJ, YAB, JIM, ADD, SWJ, XGR, HAJ, NRA, LEX\n- Travel distances (in kilometers) between each pair of airports:\nAOJ to XGR: 12375\nAOJ to HAJ: 9177\nAOJ to YAB: 13497\nAOJ to LEX: 11488\nAOJ to ADD: 10483\nAOJ to JIM: 10663\nAOJ to SWJ: 8695\nAOJ to NRA: 9156\nYAB to XGR: 2006\nYAB to HAJ: 8118\nYAB to LEX: 4499\nYAB to ADD: 13336\nYAB to JIM: 13516\nYAB to SWJ: 15946\nYAB to NRA: 18294\nJIM to ADD: 180\nJIM to XGR: 11824\nJIM to HAJ: 5705\nJIM to LEX: 12495\nJIM to SWJ: 15721\nJIM to NRA: 14039\nADD to XGR: 11644\nADD to HAJ: 5525\nADD to LEX: 12315\nADD to SWJ: 15541\nADD to NRA: 13859\nSWJ to XGR: 14824\nSWJ to HAJ: 16780\nSWJ to LEX: 13264\nSWJ to NRA: 3082\nXGR to HAJ: 6426\nXGR to LEX: 2932\nXGR to NRA: 17172\nHAJ to LEX: 7133\nHAJ to NRA: 16791\nNRA to LEX: 15505\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54801,
"style": "rule"
}
|
{
"exact_answer": 54801,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AOJ\", \"id\": 0}, {\"name\": \"YAB\", \"id\": 1}, {\"name\": \"JIM\", \"id\": 2}, {\"name\": \"ADD\", \"id\": 3}, {\"name\": \"SWJ\", \"id\": 4}, {\"name\": \"XGR\", \"id\": 5}, {\"name\": \"HAJ\", \"id\": 6}, {\"name\": \"NRA\", \"id\": 7}, {\"name\": \"LEX\", \"id\": 8}], \"links\": [{\"weight\": 12375, \"source\": 0, \"target\": 5}, {\"weight\": 9177, \"source\": 0, \"target\": 6}, {\"weight\": 13497, \"source\": 0, \"target\": 1}, {\"weight\": 11488, \"source\": 0, \"target\": 8}, {\"weight\": 10483, \"source\": 0, \"target\": 3}, {\"weight\": 10663, \"source\": 0, \"target\": 2}, {\"weight\": 8695, \"source\": 0, \"target\": 4}, {\"weight\": 9156, \"source\": 0, \"target\": 7}, {\"weight\": 2006, \"source\": 1, \"target\": 5}, {\"weight\": 8118, \"source\": 1, \"target\": 6}, {\"weight\": 4499, \"source\": 1, \"target\": 8}, {\"weight\": 13336, \"source\": 1, \"target\": 3}, {\"weight\": 13516, \"source\": 1, \"target\": 2}, {\"weight\": 15946, \"source\": 1, \"target\": 4}, {\"weight\": 18294, \"source\": 1, \"target\": 7}, {\"weight\": 180, \"source\": 2, \"target\": 3}, {\"weight\": 11824, \"source\": 2, \"target\": 5}, {\"weight\": 5705, \"source\": 2, \"target\": 6}, {\"weight\": 12495, \"source\": 2, \"target\": 8}, {\"weight\": 15721, \"source\": 2, \"target\": 4}, {\"weight\": 14039, \"source\": 2, \"target\": 7}, {\"weight\": 11644, \"source\": 3, \"target\": 5}, {\"weight\": 5525, \"source\": 3, \"target\": 6}, {\"weight\": 12315, \"source\": 3, \"target\": 8}, {\"weight\": 15541, \"source\": 3, \"target\": 4}, {\"weight\": 13859, \"source\": 3, \"target\": 7}, {\"weight\": 14824, \"source\": 4, \"target\": 5}, {\"weight\": 16780, \"source\": 4, \"target\": 6}, {\"weight\": 13264, \"source\": 4, \"target\": 8}, {\"weight\": 3082, \"source\": 4, \"target\": 7}, {\"weight\": 6426, \"source\": 5, \"target\": 6}, {\"weight\": 2932, \"source\": 5, \"target\": 8}, {\"weight\": 17172, \"source\": 5, \"target\": 7}, {\"weight\": 7133, \"source\": 6, \"target\": 8}, {\"weight\": 16791, \"source\": 6, \"target\": 7}, {\"weight\": 15505, \"source\": 7, \"target\": 8}]}",
"id": 36,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AOJ, YAB, JIM, ADD, SWJ, XGR, HAJ, NRA, LEX\n- Travel distances (in kilometers) between each pair of airports:\nAOJ to XGR: 12375\nAOJ to HAJ: 9177\nAOJ to YAB: 13497\nAOJ to LEX: 11488\nAOJ to ADD: 10483\nAOJ to JIM: 10663\nAOJ to SWJ: 8695\nAOJ to NRA: 9156\nYAB to XGR: 2006\nYAB to HAJ: 8118\nYAB to LEX: 4499\nYAB to ADD: 13336\nYAB to JIM: 13516\nYAB to SWJ: 15946\nYAB to NRA: 18294\nJIM to ADD: 180\nJIM to XGR: 11824\nJIM to HAJ: 5705\nJIM to LEX: 12495\nJIM to SWJ: 15721\nJIM to NRA: 14039\nADD to XGR: 11644\nADD to HAJ: 5525\nADD to LEX: 12315\nADD to SWJ: 15541\nADD to NRA: 13859\nSWJ to XGR: 14824\nSWJ to HAJ: 16780\nSWJ to LEX: 13264\nSWJ to NRA: 3082\nXGR to HAJ: 6426\nXGR to LEX: 2932\nXGR to NRA: 17172\nHAJ to LEX: 7133\nHAJ to NRA: 16791\nNRA to LEX: 15505\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, JJA, JAI, KSU, GAE, UIH, NKI, LAP, DJE\n- Travel distances (in kilometers) between each pair of airports:\nJAX to LAP: 3024\nJAX to JAI: 13315\nJAX to DJE: 8560\nJAX to KSU: 7279\nJAX to JJA: 14605\nJAX to NKI: 5181\nJAX to GAE: 8673\nJAX to UIH: 15164\nJJA to LAP: 12927\nJJA to JAI: 10603\nJJA to DJE: 16575\nJJA to KSU: 15522\nJJA to NKI: 12912\nJJA to GAE: 16638\nJJA to UIH: 7541\nJAI to LAP: 15381\nJAI to DJE: 6460\nJAI to KSU: 6454\nJAI to NKI: 13962\nJAI to GAE: 6794\nJAI to UIH: 4138\nKSU to LAP: 9727\nKSU to DJE: 3291\nKSU to NKI: 8845\nKSU to GAE: 3287\nKSU to UIH: 9466\nGAE to LAP: 11327\nGAE to DJE: 664\nGAE to NKI: 11105\nGAE to UIH: 10655\nUIH to LAP: 14574\nUIH to DJE: 10394\nUIH to NKI: 13132\nNKI to LAP: 4414\nNKI to DJE: 11100\nLAP to DJE: 11215\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49719,
"style": "rule"
}
|
{
"exact_answer": 49719,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAX\", \"id\": 0}, {\"name\": \"JJA\", \"id\": 1}, {\"name\": \"JAI\", \"id\": 2}, {\"name\": \"KSU\", \"id\": 3}, {\"name\": \"GAE\", \"id\": 4}, {\"name\": \"UIH\", \"id\": 5}, {\"name\": \"NKI\", \"id\": 6}, {\"name\": \"LAP\", \"id\": 7}, {\"name\": \"DJE\", \"id\": 8}], \"links\": [{\"weight\": 3024, \"source\": 0, \"target\": 7}, {\"weight\": 13315, \"source\": 0, \"target\": 2}, {\"weight\": 8560, \"source\": 0, \"target\": 8}, {\"weight\": 7279, \"source\": 0, \"target\": 3}, {\"weight\": 14605, \"source\": 0, \"target\": 1}, {\"weight\": 5181, \"source\": 0, \"target\": 6}, {\"weight\": 8673, \"source\": 0, \"target\": 4}, {\"weight\": 15164, \"source\": 0, \"target\": 5}, {\"weight\": 12927, \"source\": 1, \"target\": 7}, {\"weight\": 10603, \"source\": 1, \"target\": 2}, {\"weight\": 16575, \"source\": 1, \"target\": 8}, {\"weight\": 15522, \"source\": 1, \"target\": 3}, {\"weight\": 12912, \"source\": 1, \"target\": 6}, {\"weight\": 16638, \"source\": 1, \"target\": 4}, {\"weight\": 7541, \"source\": 1, \"target\": 5}, {\"weight\": 15381, \"source\": 2, \"target\": 7}, {\"weight\": 6460, \"source\": 2, \"target\": 8}, {\"weight\": 6454, \"source\": 2, \"target\": 3}, {\"weight\": 13962, \"source\": 2, \"target\": 6}, {\"weight\": 6794, \"source\": 2, \"target\": 4}, {\"weight\": 4138, \"source\": 2, \"target\": 5}, {\"weight\": 9727, \"source\": 3, \"target\": 7}, {\"weight\": 3291, \"source\": 3, \"target\": 8}, {\"weight\": 8845, \"source\": 3, \"target\": 6}, {\"weight\": 3287, \"source\": 3, \"target\": 4}, {\"weight\": 9466, \"source\": 3, \"target\": 5}, {\"weight\": 11327, \"source\": 4, \"target\": 7}, {\"weight\": 664, \"source\": 4, \"target\": 8}, {\"weight\": 11105, \"source\": 4, \"target\": 6}, {\"weight\": 10655, \"source\": 4, \"target\": 5}, {\"weight\": 14574, \"source\": 5, \"target\": 7}, {\"weight\": 10394, \"source\": 5, \"target\": 8}, {\"weight\": 13132, \"source\": 5, \"target\": 6}, {\"weight\": 4414, \"source\": 6, \"target\": 7}, {\"weight\": 11100, \"source\": 6, \"target\": 8}, {\"weight\": 11215, \"source\": 7, \"target\": 8}]}",
"id": 37,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, JJA, JAI, KSU, GAE, UIH, NKI, LAP, DJE\n- Travel distances (in kilometers) between each pair of airports:\nJAX to LAP: 3024\nJAX to JAI: 13315\nJAX to DJE: 8560\nJAX to KSU: 7279\nJAX to JJA: 14605\nJAX to NKI: 5181\nJAX to GAE: 8673\nJAX to UIH: 15164\nJJA to LAP: 12927\nJJA to JAI: 10603\nJJA to DJE: 16575\nJJA to KSU: 15522\nJJA to NKI: 12912\nJJA to GAE: 16638\nJJA to UIH: 7541\nJAI to LAP: 15381\nJAI to DJE: 6460\nJAI to KSU: 6454\nJAI to NKI: 13962\nJAI to GAE: 6794\nJAI to UIH: 4138\nKSU to LAP: 9727\nKSU to DJE: 3291\nKSU to NKI: 8845\nKSU to GAE: 3287\nKSU to UIH: 9466\nGAE to LAP: 11327\nGAE to DJE: 664\nGAE to NKI: 11105\nGAE to UIH: 10655\nUIH to LAP: 14574\nUIH to DJE: 10394\nUIH to NKI: 13132\nNKI to LAP: 4414\nNKI to DJE: 11100\nLAP to DJE: 11215\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AUQ, OLC, GBT, GLO, RUA, VDE, SLA, NNM, LJG\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to LJG: 14802\nAUQ to NNM: 18503\nAUQ to OLC: 15733\nAUQ to SLA: 10573\nAUQ to GBT: 18431\nAUQ to RUA: 20717\nAUQ to VDE: 17826\nAUQ to GLO: 17022\nOLC to LJG: 18705\nOLC to NNM: 13310\nOLC to SLA: 6367\nOLC to GBT: 14307\nOLC to RUA: 12967\nOLC to VDE: 7952\nOLC to GLO: 10276\nGBT to LJG: 5225\nGBT to NNM: 4682\nGBT to SLA: 15480\nGBT to RUA: 5130\nGBT to VDE: 6832\nGBT to GLO: 5513\nGLO to LJG: 9319\nGLO to NNM: 3927\nGLO to SLA: 12649\nGLO to RUA: 7581\nGLO to VDE: 3499\nRUA to LJG: 8880\nRUA to NNM: 8261\nRUA to SLA: 12159\nRUA to VDE: 7638\nVDE to LJG: 11720\nVDE to NNM: 6503\nVDE to SLA: 9601\nSLA to LJG: 19951\nSLA to NNM: 15627\nNNM to LJG: 6747\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65736,
"style": "rule"
}
|
{
"exact_answer": 65736,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AUQ\", \"id\": 0}, {\"name\": \"OLC\", \"id\": 1}, {\"name\": \"GBT\", \"id\": 2}, {\"name\": \"GLO\", \"id\": 3}, {\"name\": \"RUA\", \"id\": 4}, {\"name\": \"VDE\", \"id\": 5}, {\"name\": \"SLA\", \"id\": 6}, {\"name\": \"NNM\", \"id\": 7}, {\"name\": \"LJG\", \"id\": 8}], \"links\": [{\"weight\": 14802, \"source\": 0, \"target\": 8}, {\"weight\": 18503, \"source\": 0, \"target\": 7}, {\"weight\": 15733, \"source\": 0, \"target\": 1}, {\"weight\": 10573, \"source\": 0, \"target\": 6}, {\"weight\": 18431, \"source\": 0, \"target\": 2}, {\"weight\": 20717, \"source\": 0, \"target\": 4}, {\"weight\": 17826, \"source\": 0, \"target\": 5}, {\"weight\": 17022, \"source\": 0, \"target\": 3}, {\"weight\": 18705, \"source\": 1, \"target\": 8}, {\"weight\": 13310, \"source\": 1, \"target\": 7}, {\"weight\": 6367, \"source\": 1, \"target\": 6}, {\"weight\": 14307, \"source\": 1, \"target\": 2}, {\"weight\": 12967, \"source\": 1, \"target\": 4}, {\"weight\": 7952, \"source\": 1, \"target\": 5}, {\"weight\": 10276, \"source\": 1, \"target\": 3}, {\"weight\": 5225, \"source\": 2, \"target\": 8}, {\"weight\": 4682, \"source\": 2, \"target\": 7}, {\"weight\": 15480, \"source\": 2, \"target\": 6}, {\"weight\": 5130, \"source\": 2, \"target\": 4}, {\"weight\": 6832, \"source\": 2, \"target\": 5}, {\"weight\": 5513, \"source\": 2, \"target\": 3}, {\"weight\": 9319, \"source\": 3, \"target\": 8}, {\"weight\": 3927, \"source\": 3, \"target\": 7}, {\"weight\": 12649, \"source\": 3, \"target\": 6}, {\"weight\": 7581, \"source\": 3, \"target\": 4}, {\"weight\": 3499, \"source\": 3, \"target\": 5}, {\"weight\": 8880, \"source\": 4, \"target\": 8}, {\"weight\": 8261, \"source\": 4, \"target\": 7}, {\"weight\": 12159, \"source\": 4, \"target\": 6}, {\"weight\": 7638, \"source\": 4, \"target\": 5}, {\"weight\": 11720, \"source\": 5, \"target\": 8}, {\"weight\": 6503, \"source\": 5, \"target\": 7}, {\"weight\": 9601, \"source\": 5, \"target\": 6}, {\"weight\": 19951, \"source\": 6, \"target\": 8}, {\"weight\": 15627, \"source\": 6, \"target\": 7}, {\"weight\": 6747, \"source\": 7, \"target\": 8}]}",
"id": 38,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AUQ, OLC, GBT, GLO, RUA, VDE, SLA, NNM, LJG\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to LJG: 14802\nAUQ to NNM: 18503\nAUQ to OLC: 15733\nAUQ to SLA: 10573\nAUQ to GBT: 18431\nAUQ to RUA: 20717\nAUQ to VDE: 17826\nAUQ to GLO: 17022\nOLC to LJG: 18705\nOLC to NNM: 13310\nOLC to SLA: 6367\nOLC to GBT: 14307\nOLC to RUA: 12967\nOLC to VDE: 7952\nOLC to GLO: 10276\nGBT to LJG: 5225\nGBT to NNM: 4682\nGBT to SLA: 15480\nGBT to RUA: 5130\nGBT to VDE: 6832\nGBT to GLO: 5513\nGLO to LJG: 9319\nGLO to NNM: 3927\nGLO to SLA: 12649\nGLO to RUA: 7581\nGLO to VDE: 3499\nRUA to LJG: 8880\nRUA to NNM: 8261\nRUA to SLA: 12159\nRUA to VDE: 7638\nVDE to LJG: 11720\nVDE to NNM: 6503\nVDE to SLA: 9601\nSLA to LJG: 19951\nSLA to NNM: 15627\nNNM to LJG: 6747\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABJ, ATK, LGW, MJF, AKJ, KAO, DBA, DEB, LEB\n- Travel distances (in kilometers) between each pair of airports:\nABJ to LGW: 5199\nABJ to ATK: 14888\nABJ to LEB: 8047\nABJ to KAO: 7271\nABJ to AKJ: 15143\nABJ to DBA: 7824\nABJ to DEB: 6478\nABJ to MJF: 6862\nATK to LGW: 11108\nATK to LEB: 7263\nATK to KAO: 12282\nATK to AKJ: 12003\nATK to DBA: 16534\nATK to DEB: 12665\nATK to MJF: 11085\nLGW to LEB: 5443\nLGW to KAO: 2523\nLGW to AKJ: 10711\nLGW to DBA: 6586\nLGW to DEB: 2199\nLGW to MJF: 1797\nMJF to LEB: 5961\nMJF to KAO: 1904\nMJF to AKJ: 10092\nMJF to DBA: 6730\nMJF to DEB: 3074\nAKJ to LEB: 12368\nAKJ to KAO: 9518\nAKJ to DBA: 8305\nAKJ to DEB: 11662\nKAO to LEB: 7158\nKAO to DBA: 6345\nKAO to DEB: 3474\nDBA to LEB: 11999\nDBA to DEB: 7497\nDEB to LEB: 7045\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54132,
"style": "rule"
}
|
{
"exact_answer": 54132,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ABJ\", \"id\": 0}, {\"name\": \"ATK\", \"id\": 1}, {\"name\": \"LGW\", \"id\": 2}, {\"name\": \"MJF\", \"id\": 3}, {\"name\": \"AKJ\", \"id\": 4}, {\"name\": \"KAO\", \"id\": 5}, {\"name\": \"DBA\", \"id\": 6}, {\"name\": \"DEB\", \"id\": 7}, {\"name\": \"LEB\", \"id\": 8}], \"links\": [{\"weight\": 5199, \"source\": 0, \"target\": 2}, {\"weight\": 14888, \"source\": 0, \"target\": 1}, {\"weight\": 8047, \"source\": 0, \"target\": 8}, {\"weight\": 7271, \"source\": 0, \"target\": 5}, {\"weight\": 15143, \"source\": 0, \"target\": 4}, {\"weight\": 7824, \"source\": 0, \"target\": 6}, {\"weight\": 6478, \"source\": 0, \"target\": 7}, {\"weight\": 6862, \"source\": 0, \"target\": 3}, {\"weight\": 11108, \"source\": 1, \"target\": 2}, {\"weight\": 7263, \"source\": 1, \"target\": 8}, {\"weight\": 12282, \"source\": 1, \"target\": 5}, {\"weight\": 12003, \"source\": 1, \"target\": 4}, {\"weight\": 16534, \"source\": 1, \"target\": 6}, {\"weight\": 12665, \"source\": 1, \"target\": 7}, {\"weight\": 11085, \"source\": 1, \"target\": 3}, {\"weight\": 5443, \"source\": 2, \"target\": 8}, {\"weight\": 2523, \"source\": 2, \"target\": 5}, {\"weight\": 10711, \"source\": 2, \"target\": 4}, {\"weight\": 6586, \"source\": 2, \"target\": 6}, {\"weight\": 2199, \"source\": 2, \"target\": 7}, {\"weight\": 1797, \"source\": 2, \"target\": 3}, {\"weight\": 5961, \"source\": 3, \"target\": 8}, {\"weight\": 1904, \"source\": 3, \"target\": 5}, {\"weight\": 10092, \"source\": 3, \"target\": 4}, {\"weight\": 6730, \"source\": 3, \"target\": 6}, {\"weight\": 3074, \"source\": 3, \"target\": 7}, {\"weight\": 12368, \"source\": 4, \"target\": 8}, {\"weight\": 9518, \"source\": 4, \"target\": 5}, {\"weight\": 8305, \"source\": 4, \"target\": 6}, {\"weight\": 11662, \"source\": 4, \"target\": 7}, {\"weight\": 7158, \"source\": 5, \"target\": 8}, {\"weight\": 6345, \"source\": 5, \"target\": 6}, {\"weight\": 3474, \"source\": 5, \"target\": 7}, {\"weight\": 11999, \"source\": 6, \"target\": 8}, {\"weight\": 7497, \"source\": 6, \"target\": 7}, {\"weight\": 7045, \"source\": 7, \"target\": 8}]}",
"id": 39,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABJ, ATK, LGW, MJF, AKJ, KAO, DBA, DEB, LEB\n- Travel distances (in kilometers) between each pair of airports:\nABJ to LGW: 5199\nABJ to ATK: 14888\nABJ to LEB: 8047\nABJ to KAO: 7271\nABJ to AKJ: 15143\nABJ to DBA: 7824\nABJ to DEB: 6478\nABJ to MJF: 6862\nATK to LGW: 11108\nATK to LEB: 7263\nATK to KAO: 12282\nATK to AKJ: 12003\nATK to DBA: 16534\nATK to DEB: 12665\nATK to MJF: 11085\nLGW to LEB: 5443\nLGW to KAO: 2523\nLGW to AKJ: 10711\nLGW to DBA: 6586\nLGW to DEB: 2199\nLGW to MJF: 1797\nMJF to LEB: 5961\nMJF to KAO: 1904\nMJF to AKJ: 10092\nMJF to DBA: 6730\nMJF to DEB: 3074\nAKJ to LEB: 12368\nAKJ to KAO: 9518\nAKJ to DBA: 8305\nAKJ to DEB: 11662\nKAO to LEB: 7158\nKAO to DBA: 6345\nKAO to DEB: 3474\nDBA to LEB: 11999\nDBA to DEB: 7497\nDEB to LEB: 7045\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRD, PUM, CNF, SMA, ILI, LRH, EKO, INU, HFA\n- Travel distances (in kilometers) between each pair of airports:\nLRD to LRH: 8687\nLRD to CNF: 8361\nLRD to EKO: 2548\nLRD to HFA: 12466\nLRD to PUM: 16276\nLRD to ILI: 5771\nLRD to INU: 10838\nLRD to SMA: 6992\nPUM to LRH: 13120\nPUM to CNF: 18618\nPUM to EKO: 14748\nPUM to HFA: 10625\nPUM to ILI: 15934\nPUM to INU: 8605\nPUM to SMA: 15335\nCNF to LRH: 8528\nCNF to EKO: 10080\nCNF to HFA: 11359\nCNF to ILI: 13131\nCNF to INU: 17821\nCNF to SMA: 7813\nSMA to LRH: 2419\nSMA to EKO: 7608\nSMA to HFA: 6107\nSMA to ILI: 10051\nSMA to INU: 16734\nILI to LRH: 10905\nILI to EKO: 4044\nILI to HFA: 14357\nILI to INU: 9428\nLRH to EKO: 9058\nLRH to HFA: 4108\nLRH to INU: 16764\nEKO to HFA: 12389\nEKO to INU: 9774\nINU to HFA: 15958\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57951,
"style": "rule"
}
|
{
"exact_answer": 57951,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LRD\", \"id\": 0}, {\"name\": \"PUM\", \"id\": 1}, {\"name\": \"CNF\", \"id\": 2}, {\"name\": \"SMA\", \"id\": 3}, {\"name\": \"ILI\", \"id\": 4}, {\"name\": \"LRH\", \"id\": 5}, {\"name\": \"EKO\", \"id\": 6}, {\"name\": \"INU\", \"id\": 7}, {\"name\": \"HFA\", \"id\": 8}], \"links\": [{\"weight\": 8687, \"source\": 0, \"target\": 5}, {\"weight\": 8361, \"source\": 0, \"target\": 2}, {\"weight\": 2548, \"source\": 0, \"target\": 6}, {\"weight\": 12466, \"source\": 0, \"target\": 8}, {\"weight\": 16276, \"source\": 0, \"target\": 1}, {\"weight\": 5771, \"source\": 0, \"target\": 4}, {\"weight\": 10838, \"source\": 0, \"target\": 7}, {\"weight\": 6992, \"source\": 0, \"target\": 3}, {\"weight\": 13120, \"source\": 1, \"target\": 5}, {\"weight\": 18618, \"source\": 1, \"target\": 2}, {\"weight\": 14748, \"source\": 1, \"target\": 6}, {\"weight\": 10625, \"source\": 1, \"target\": 8}, {\"weight\": 15934, \"source\": 1, \"target\": 4}, {\"weight\": 8605, \"source\": 1, \"target\": 7}, {\"weight\": 15335, \"source\": 1, \"target\": 3}, {\"weight\": 8528, \"source\": 2, \"target\": 5}, {\"weight\": 10080, \"source\": 2, \"target\": 6}, {\"weight\": 11359, \"source\": 2, \"target\": 8}, {\"weight\": 13131, \"source\": 2, \"target\": 4}, {\"weight\": 17821, \"source\": 2, \"target\": 7}, {\"weight\": 7813, \"source\": 2, \"target\": 3}, {\"weight\": 2419, \"source\": 3, \"target\": 5}, {\"weight\": 7608, \"source\": 3, \"target\": 6}, {\"weight\": 6107, \"source\": 3, \"target\": 8}, {\"weight\": 10051, \"source\": 3, \"target\": 4}, {\"weight\": 16734, \"source\": 3, \"target\": 7}, {\"weight\": 10905, \"source\": 4, \"target\": 5}, {\"weight\": 4044, \"source\": 4, \"target\": 6}, {\"weight\": 14357, \"source\": 4, \"target\": 8}, {\"weight\": 9428, \"source\": 4, \"target\": 7}, {\"weight\": 9058, \"source\": 5, \"target\": 6}, {\"weight\": 4108, \"source\": 5, \"target\": 8}, {\"weight\": 16764, \"source\": 5, \"target\": 7}, {\"weight\": 12389, \"source\": 6, \"target\": 8}, {\"weight\": 9774, \"source\": 6, \"target\": 7}, {\"weight\": 15958, \"source\": 7, \"target\": 8}]}",
"id": 40,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRD, PUM, CNF, SMA, ILI, LRH, EKO, INU, HFA\n- Travel distances (in kilometers) between each pair of airports:\nLRD to LRH: 8687\nLRD to CNF: 8361\nLRD to EKO: 2548\nLRD to HFA: 12466\nLRD to PUM: 16276\nLRD to ILI: 5771\nLRD to INU: 10838\nLRD to SMA: 6992\nPUM to LRH: 13120\nPUM to CNF: 18618\nPUM to EKO: 14748\nPUM to HFA: 10625\nPUM to ILI: 15934\nPUM to INU: 8605\nPUM to SMA: 15335\nCNF to LRH: 8528\nCNF to EKO: 10080\nCNF to HFA: 11359\nCNF to ILI: 13131\nCNF to INU: 17821\nCNF to SMA: 7813\nSMA to LRH: 2419\nSMA to EKO: 7608\nSMA to HFA: 6107\nSMA to ILI: 10051\nSMA to INU: 16734\nILI to LRH: 10905\nILI to EKO: 4044\nILI to HFA: 14357\nILI to INU: 9428\nLRH to EKO: 9058\nLRH to HFA: 4108\nLRH to INU: 16764\nEKO to HFA: 12389\nEKO to INU: 9774\nINU to HFA: 15958\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRS, LNJ, THS, IOT, GYD, ENE, DOK, YPH, ACX\n- Travel distances (in kilometers) between each pair of airports:\nKRS to GYD: 3622\nKRS to YPH: 7190\nKRS to ACX: 8311\nKRS to LNJ: 8614\nKRS to DOK: 2339\nKRS to ENE: 12626\nKRS to IOT: 3991\nKRS to THS: 9358\nLNJ to GYD: 5665\nLNJ to YPH: 14569\nLNJ to ACX: 986\nLNJ to DOK: 7077\nLNJ to ENE: 5250\nLNJ to IOT: 12225\nLNJ to THS: 1982\nTHS to GYD: 6148\nTHS to YPH: 15879\nTHS to ACX: 2368\nTHS to DOK: 7560\nTHS to ENE: 4082\nTHS to IOT: 12999\nIOT to GYD: 7179\nIOT to YPH: 8006\nIOT to ACX: 11953\nIOT to DOK: 5897\nIOT to ENE: 16267\nGYD to YPH: 10134\nGYD to ACX: 5922\nGYD to DOK: 1412\nGYD to ENE: 9340\nENE to YPH: 17264\nENE to ACX: 5159\nENE to DOK: 10752\nDOK to YPH: 8874\nDOK to ACX: 7247\nYPH to ACX: 14158\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45984,
"style": "rule"
}
|
{
"exact_answer": 45984,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRS\", \"id\": 0}, {\"name\": \"LNJ\", \"id\": 1}, {\"name\": \"THS\", \"id\": 2}, {\"name\": \"IOT\", \"id\": 3}, {\"name\": \"GYD\", \"id\": 4}, {\"name\": \"ENE\", \"id\": 5}, {\"name\": \"DOK\", \"id\": 6}, {\"name\": \"YPH\", \"id\": 7}, {\"name\": \"ACX\", \"id\": 8}], \"links\": [{\"weight\": 3622, \"source\": 0, \"target\": 4}, {\"weight\": 7190, \"source\": 0, \"target\": 7}, {\"weight\": 8311, \"source\": 0, \"target\": 8}, {\"weight\": 8614, \"source\": 0, \"target\": 1}, {\"weight\": 2339, \"source\": 0, \"target\": 6}, {\"weight\": 12626, \"source\": 0, \"target\": 5}, {\"weight\": 3991, \"source\": 0, \"target\": 3}, {\"weight\": 9358, \"source\": 0, \"target\": 2}, {\"weight\": 5665, \"source\": 1, \"target\": 4}, {\"weight\": 14569, \"source\": 1, \"target\": 7}, {\"weight\": 986, \"source\": 1, \"target\": 8}, {\"weight\": 7077, \"source\": 1, \"target\": 6}, {\"weight\": 5250, \"source\": 1, \"target\": 5}, {\"weight\": 12225, \"source\": 1, \"target\": 3}, {\"weight\": 1982, \"source\": 1, \"target\": 2}, {\"weight\": 6148, \"source\": 2, \"target\": 4}, {\"weight\": 15879, \"source\": 2, \"target\": 7}, {\"weight\": 2368, \"source\": 2, \"target\": 8}, {\"weight\": 7560, \"source\": 2, \"target\": 6}, {\"weight\": 4082, \"source\": 2, \"target\": 5}, {\"weight\": 12999, \"source\": 2, \"target\": 3}, {\"weight\": 7179, \"source\": 3, \"target\": 4}, {\"weight\": 8006, \"source\": 3, \"target\": 7}, {\"weight\": 11953, \"source\": 3, \"target\": 8}, {\"weight\": 5897, \"source\": 3, \"target\": 6}, {\"weight\": 16267, \"source\": 3, \"target\": 5}, {\"weight\": 10134, \"source\": 4, \"target\": 7}, {\"weight\": 5922, \"source\": 4, \"target\": 8}, {\"weight\": 1412, \"source\": 4, \"target\": 6}, {\"weight\": 9340, \"source\": 4, \"target\": 5}, {\"weight\": 17264, \"source\": 5, \"target\": 7}, {\"weight\": 5159, \"source\": 5, \"target\": 8}, {\"weight\": 10752, \"source\": 5, \"target\": 6}, {\"weight\": 8874, \"source\": 6, \"target\": 7}, {\"weight\": 7247, \"source\": 6, \"target\": 8}, {\"weight\": 14158, \"source\": 7, \"target\": 8}]}",
"id": 41,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRS, LNJ, THS, IOT, GYD, ENE, DOK, YPH, ACX\n- Travel distances (in kilometers) between each pair of airports:\nKRS to GYD: 3622\nKRS to YPH: 7190\nKRS to ACX: 8311\nKRS to LNJ: 8614\nKRS to DOK: 2339\nKRS to ENE: 12626\nKRS to IOT: 3991\nKRS to THS: 9358\nLNJ to GYD: 5665\nLNJ to YPH: 14569\nLNJ to ACX: 986\nLNJ to DOK: 7077\nLNJ to ENE: 5250\nLNJ to IOT: 12225\nLNJ to THS: 1982\nTHS to GYD: 6148\nTHS to YPH: 15879\nTHS to ACX: 2368\nTHS to DOK: 7560\nTHS to ENE: 4082\nTHS to IOT: 12999\nIOT to GYD: 7179\nIOT to YPH: 8006\nIOT to ACX: 11953\nIOT to DOK: 5897\nIOT to ENE: 16267\nGYD to YPH: 10134\nGYD to ACX: 5922\nGYD to DOK: 1412\nGYD to ENE: 9340\nENE to YPH: 17264\nENE to ACX: 5159\nENE to DOK: 10752\nDOK to YPH: 8874\nDOK to ACX: 7247\nYPH to ACX: 14158\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRF, SZX, LPI, WNH, ZAL, OTZ, TRS, SXR, FLW\n- Travel distances (in kilometers) between each pair of airports:\nKRF to SZX: 8561\nKRF to SXR: 5836\nKRF to OTZ: 11534\nKRF to TRS: 2002\nKRF to WNH: 8262\nKRF to ZAL: 14312\nKRF to LPI: 1282\nKRF to FLW: 4796\nSZX to SXR: 4367\nSZX to OTZ: 13621\nSZX to TRS: 9338\nSZX to WNH: 1391\nSZX to ZAL: 19896\nSZX to LPI: 9001\nSZX to FLW: 12603\nLPI to SXR: 6134\nLPI to OTZ: 11517\nLPI to TRS: 1476\nLPI to WNH: 8564\nLPI to ZAL: 13760\nLPI to FLW: 4331\nWNH to SXR: 3448\nWNH to OTZ: 14232\nWNH to TRS: 8885\nWNH to ZAL: 20521\nWNH to FLW: 12175\nZAL to SXR: 17818\nZAL to OTZ: 14316\nZAL to TRS: 12951\nZAL to FLW: 12050\nOTZ to SXR: 16332\nOTZ to TRS: 12008\nOTZ to FLW: 11030\nTRS to SXR: 6040\nTRS to FLW: 3892\nSXR to FLW: 9469\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57312,
"style": "rule"
}
|
{
"exact_answer": 57312,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRF\", \"id\": 0}, {\"name\": \"SZX\", \"id\": 1}, {\"name\": \"LPI\", \"id\": 2}, {\"name\": \"WNH\", \"id\": 3}, {\"name\": \"ZAL\", \"id\": 4}, {\"name\": \"OTZ\", \"id\": 5}, {\"name\": \"TRS\", \"id\": 6}, {\"name\": \"SXR\", \"id\": 7}, {\"name\": \"FLW\", \"id\": 8}], \"links\": [{\"weight\": 8561, \"source\": 0, \"target\": 1}, {\"weight\": 5836, \"source\": 0, \"target\": 7}, {\"weight\": 11534, \"source\": 0, \"target\": 5}, {\"weight\": 2002, \"source\": 0, \"target\": 6}, {\"weight\": 8262, \"source\": 0, \"target\": 3}, {\"weight\": 14312, \"source\": 0, \"target\": 4}, {\"weight\": 1282, \"source\": 0, \"target\": 2}, {\"weight\": 4796, \"source\": 0, \"target\": 8}, {\"weight\": 4367, \"source\": 1, \"target\": 7}, {\"weight\": 13621, \"source\": 1, \"target\": 5}, {\"weight\": 9338, \"source\": 1, \"target\": 6}, {\"weight\": 1391, \"source\": 1, \"target\": 3}, {\"weight\": 19896, \"source\": 1, \"target\": 4}, {\"weight\": 9001, \"source\": 1, \"target\": 2}, {\"weight\": 12603, \"source\": 1, \"target\": 8}, {\"weight\": 6134, \"source\": 2, \"target\": 7}, {\"weight\": 11517, \"source\": 2, \"target\": 5}, {\"weight\": 1476, \"source\": 2, \"target\": 6}, {\"weight\": 8564, \"source\": 2, \"target\": 3}, {\"weight\": 13760, \"source\": 2, \"target\": 4}, {\"weight\": 4331, \"source\": 2, \"target\": 8}, {\"weight\": 3448, \"source\": 3, \"target\": 7}, {\"weight\": 14232, \"source\": 3, \"target\": 5}, {\"weight\": 8885, \"source\": 3, \"target\": 6}, {\"weight\": 20521, \"source\": 3, \"target\": 4}, {\"weight\": 12175, \"source\": 3, \"target\": 8}, {\"weight\": 17818, \"source\": 4, \"target\": 7}, {\"weight\": 14316, \"source\": 4, \"target\": 5}, {\"weight\": 12951, \"source\": 4, \"target\": 6}, {\"weight\": 12050, \"source\": 4, \"target\": 8}, {\"weight\": 16332, \"source\": 5, \"target\": 7}, {\"weight\": 12008, \"source\": 5, \"target\": 6}, {\"weight\": 11030, \"source\": 5, \"target\": 8}, {\"weight\": 6040, \"source\": 6, \"target\": 7}, {\"weight\": 3892, \"source\": 6, \"target\": 8}, {\"weight\": 9469, \"source\": 7, \"target\": 8}]}",
"id": 42,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRF, SZX, LPI, WNH, ZAL, OTZ, TRS, SXR, FLW\n- Travel distances (in kilometers) between each pair of airports:\nKRF to SZX: 8561\nKRF to SXR: 5836\nKRF to OTZ: 11534\nKRF to TRS: 2002\nKRF to WNH: 8262\nKRF to ZAL: 14312\nKRF to LPI: 1282\nKRF to FLW: 4796\nSZX to SXR: 4367\nSZX to OTZ: 13621\nSZX to TRS: 9338\nSZX to WNH: 1391\nSZX to ZAL: 19896\nSZX to LPI: 9001\nSZX to FLW: 12603\nLPI to SXR: 6134\nLPI to OTZ: 11517\nLPI to TRS: 1476\nLPI to WNH: 8564\nLPI to ZAL: 13760\nLPI to FLW: 4331\nWNH to SXR: 3448\nWNH to OTZ: 14232\nWNH to TRS: 8885\nWNH to ZAL: 20521\nWNH to FLW: 12175\nZAL to SXR: 17818\nZAL to OTZ: 14316\nZAL to TRS: 12951\nZAL to FLW: 12050\nOTZ to SXR: 16332\nOTZ to TRS: 12008\nOTZ to FLW: 11030\nTRS to SXR: 6040\nTRS to FLW: 3892\nSXR to FLW: 9469\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KIT, ASO, KZO, ABL, BET, SFT, YEK, YGT, NBE\n- Travel distances (in kilometers) between each pair of airports:\nKIT to BET: 13089\nKIT to YEK: 10124\nKIT to YGT: 9585\nKIT to ABL: 13536\nKIT to NBE: 1436\nKIT to KZO: 3748\nKIT to ASO: 4256\nKIT to SFT: 3228\nASO to BET: 16986\nASO to YEK: 13983\nASO to YGT: 13444\nASO to ABL: 17433\nASO to NBE: 5073\nASO to KZO: 5783\nASO to SFT: 6952\nKZO to BET: 14903\nKZO to YEK: 12682\nKZO to YGT: 12143\nKZO to ABL: 15350\nKZO to NBE: 4742\nKZO to SFT: 4616\nABL to BET: 1084\nABL to YEK: 6591\nABL to YGT: 8489\nABL to NBE: 13034\nABL to SFT: 11940\nBET to YEK: 6144\nBET to YGT: 8042\nBET to NBE: 12587\nBET to SFT: 11493\nSFT to YEK: 9624\nSFT to YGT: 9085\nSFT to NBE: 3257\nYEK to YGT: 2243\nYEK to NBE: 9644\nYGT to NBE: 9105\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46607,
"style": "rule"
}
|
{
"exact_answer": 46607,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KIT\", \"id\": 0}, {\"name\": \"ASO\", \"id\": 1}, {\"name\": \"KZO\", \"id\": 2}, {\"name\": \"ABL\", \"id\": 3}, {\"name\": \"BET\", \"id\": 4}, {\"name\": \"SFT\", \"id\": 5}, {\"name\": \"YEK\", \"id\": 6}, {\"name\": \"YGT\", \"id\": 7}, {\"name\": \"NBE\", \"id\": 8}], \"links\": [{\"weight\": 13089, \"source\": 0, \"target\": 4}, {\"weight\": 10124, \"source\": 0, \"target\": 6}, {\"weight\": 9585, \"source\": 0, \"target\": 7}, {\"weight\": 13536, \"source\": 0, \"target\": 3}, {\"weight\": 1436, \"source\": 0, \"target\": 8}, {\"weight\": 3748, \"source\": 0, \"target\": 2}, {\"weight\": 4256, \"source\": 0, \"target\": 1}, {\"weight\": 3228, \"source\": 0, \"target\": 5}, {\"weight\": 16986, \"source\": 1, \"target\": 4}, {\"weight\": 13983, \"source\": 1, \"target\": 6}, {\"weight\": 13444, \"source\": 1, \"target\": 7}, {\"weight\": 17433, \"source\": 1, \"target\": 3}, {\"weight\": 5073, \"source\": 1, \"target\": 8}, {\"weight\": 5783, \"source\": 1, \"target\": 2}, {\"weight\": 6952, \"source\": 1, \"target\": 5}, {\"weight\": 14903, \"source\": 2, \"target\": 4}, {\"weight\": 12682, \"source\": 2, \"target\": 6}, {\"weight\": 12143, \"source\": 2, \"target\": 7}, {\"weight\": 15350, \"source\": 2, \"target\": 3}, {\"weight\": 4742, \"source\": 2, \"target\": 8}, {\"weight\": 4616, \"source\": 2, \"target\": 5}, {\"weight\": 1084, \"source\": 3, \"target\": 4}, {\"weight\": 6591, \"source\": 3, \"target\": 6}, {\"weight\": 8489, \"source\": 3, \"target\": 7}, {\"weight\": 13034, \"source\": 3, \"target\": 8}, {\"weight\": 11940, \"source\": 3, \"target\": 5}, {\"weight\": 6144, \"source\": 4, \"target\": 6}, {\"weight\": 8042, \"source\": 4, \"target\": 7}, {\"weight\": 12587, \"source\": 4, \"target\": 8}, {\"weight\": 11493, \"source\": 4, \"target\": 5}, {\"weight\": 9624, \"source\": 5, \"target\": 6}, {\"weight\": 9085, \"source\": 5, \"target\": 7}, {\"weight\": 3257, \"source\": 5, \"target\": 8}, {\"weight\": 2243, \"source\": 6, \"target\": 7}, {\"weight\": 9644, \"source\": 6, \"target\": 8}, {\"weight\": 9105, \"source\": 7, \"target\": 8}]}",
"id": 43,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KIT, ASO, KZO, ABL, BET, SFT, YEK, YGT, NBE\n- Travel distances (in kilometers) between each pair of airports:\nKIT to BET: 13089\nKIT to YEK: 10124\nKIT to YGT: 9585\nKIT to ABL: 13536\nKIT to NBE: 1436\nKIT to KZO: 3748\nKIT to ASO: 4256\nKIT to SFT: 3228\nASO to BET: 16986\nASO to YEK: 13983\nASO to YGT: 13444\nASO to ABL: 17433\nASO to NBE: 5073\nASO to KZO: 5783\nASO to SFT: 6952\nKZO to BET: 14903\nKZO to YEK: 12682\nKZO to YGT: 12143\nKZO to ABL: 15350\nKZO to NBE: 4742\nKZO to SFT: 4616\nABL to BET: 1084\nABL to YEK: 6591\nABL to YGT: 8489\nABL to NBE: 13034\nABL to SFT: 11940\nBET to YEK: 6144\nBET to YGT: 8042\nBET to NBE: 12587\nBET to SFT: 11493\nSFT to YEK: 9624\nSFT to YGT: 9085\nSFT to NBE: 3257\nYEK to YGT: 2243\nYEK to NBE: 9644\nYGT to NBE: 9105\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDX, SLI, COO, SFG, KJA, BRM, SVJ, LSY, LWY\n- Travel distances (in kilometers) between each pair of airports:\nPDX to COO: 12418\nPDX to SFG: 6291\nPDX to KJA: 11392\nPDX to BRM: 6505\nPDX to LWY: 12026\nPDX to SLI: 16214\nPDX to SVJ: 8212\nPDX to LSY: 12960\nSLI to COO: 3892\nSLI to SFG: 13373\nSLI to KJA: 9956\nSLI to BRM: 13359\nSLI to LWY: 10961\nSLI to SVJ: 9951\nSLI to LSY: 13244\nCOO to SFG: 9508\nCOO to KJA: 9501\nCOO to BRM: 9472\nCOO to LWY: 12908\nCOO to SVJ: 6957\nCOO to LSY: 16195\nSFG to KJA: 12323\nSFG to BRM: 1210\nSFG to LWY: 17655\nSFG to SVJ: 8810\nSFG to LSY: 18094\nKJA to BRM: 13331\nKJA to LWY: 6471\nKJA to SVJ: 5284\nKJA to LSY: 12070\nBRM to LWY: 18317\nBRM to SVJ: 9671\nBRM to LSY: 17115\nSVJ to LWY: 11266\nSVJ to LSY: 17286\nLSY to LWY: 7001\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61077,
"style": "rule"
}
|
{
"exact_answer": 61077,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDX\", \"id\": 0}, {\"name\": \"SLI\", \"id\": 1}, {\"name\": \"COO\", \"id\": 2}, {\"name\": \"SFG\", \"id\": 3}, {\"name\": \"KJA\", \"id\": 4}, {\"name\": \"BRM\", \"id\": 5}, {\"name\": \"SVJ\", \"id\": 6}, {\"name\": \"LSY\", \"id\": 7}, {\"name\": \"LWY\", \"id\": 8}], \"links\": [{\"weight\": 12418, \"source\": 0, \"target\": 2}, {\"weight\": 6291, \"source\": 0, \"target\": 3}, {\"weight\": 11392, \"source\": 0, \"target\": 4}, {\"weight\": 6505, \"source\": 0, \"target\": 5}, {\"weight\": 12026, \"source\": 0, \"target\": 8}, {\"weight\": 16214, \"source\": 0, \"target\": 1}, {\"weight\": 8212, \"source\": 0, \"target\": 6}, {\"weight\": 12960, \"source\": 0, \"target\": 7}, {\"weight\": 3892, \"source\": 1, \"target\": 2}, {\"weight\": 13373, \"source\": 1, \"target\": 3}, {\"weight\": 9956, \"source\": 1, \"target\": 4}, {\"weight\": 13359, \"source\": 1, \"target\": 5}, {\"weight\": 10961, \"source\": 1, \"target\": 8}, {\"weight\": 9951, \"source\": 1, \"target\": 6}, {\"weight\": 13244, \"source\": 1, \"target\": 7}, {\"weight\": 9508, \"source\": 2, \"target\": 3}, {\"weight\": 9501, \"source\": 2, \"target\": 4}, {\"weight\": 9472, \"source\": 2, \"target\": 5}, {\"weight\": 12908, \"source\": 2, \"target\": 8}, {\"weight\": 6957, \"source\": 2, \"target\": 6}, {\"weight\": 16195, \"source\": 2, \"target\": 7}, {\"weight\": 12323, \"source\": 3, \"target\": 4}, {\"weight\": 1210, \"source\": 3, \"target\": 5}, {\"weight\": 17655, \"source\": 3, \"target\": 8}, {\"weight\": 8810, \"source\": 3, \"target\": 6}, {\"weight\": 18094, \"source\": 3, \"target\": 7}, {\"weight\": 13331, \"source\": 4, \"target\": 5}, {\"weight\": 6471, \"source\": 4, \"target\": 8}, {\"weight\": 5284, \"source\": 4, \"target\": 6}, {\"weight\": 12070, \"source\": 4, \"target\": 7}, {\"weight\": 18317, \"source\": 5, \"target\": 8}, {\"weight\": 9671, \"source\": 5, \"target\": 6}, {\"weight\": 17115, \"source\": 5, \"target\": 7}, {\"weight\": 11266, \"source\": 6, \"target\": 8}, {\"weight\": 17286, \"source\": 6, \"target\": 7}, {\"weight\": 7001, \"source\": 7, \"target\": 8}]}",
"id": 44,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDX, SLI, COO, SFG, KJA, BRM, SVJ, LSY, LWY\n- Travel distances (in kilometers) between each pair of airports:\nPDX to COO: 12418\nPDX to SFG: 6291\nPDX to KJA: 11392\nPDX to BRM: 6505\nPDX to LWY: 12026\nPDX to SLI: 16214\nPDX to SVJ: 8212\nPDX to LSY: 12960\nSLI to COO: 3892\nSLI to SFG: 13373\nSLI to KJA: 9956\nSLI to BRM: 13359\nSLI to LWY: 10961\nSLI to SVJ: 9951\nSLI to LSY: 13244\nCOO to SFG: 9508\nCOO to KJA: 9501\nCOO to BRM: 9472\nCOO to LWY: 12908\nCOO to SVJ: 6957\nCOO to LSY: 16195\nSFG to KJA: 12323\nSFG to BRM: 1210\nSFG to LWY: 17655\nSFG to SVJ: 8810\nSFG to LSY: 18094\nKJA to BRM: 13331\nKJA to LWY: 6471\nKJA to SVJ: 5284\nKJA to LSY: 12070\nBRM to LWY: 18317\nBRM to SVJ: 9671\nBRM to LSY: 17115\nSVJ to LWY: 11266\nSVJ to LSY: 17286\nLSY to LWY: 7001\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: APF, FJR, XNA, TIZ, OMO, HRG, HMB, OMD, KGX\n- Travel distances (in kilometers) between each pair of airports:\nAPF to HRG: 11004\nAPF to KGX: 7273\nAPF to XNA: 1977\nAPF to TIZ: 16811\nAPF to HMB: 11038\nAPF to OMO: 9082\nAPF to FJR: 13088\nAPF to OMD: 14228\nFJR to HRG: 2580\nFJR to KGX: 15245\nFJR to XNA: 12811\nFJR to TIZ: 11729\nFJR to HMB: 2740\nFJR to OMO: 5664\nFJR to OMD: 7790\nXNA to HRG: 11114\nXNA to KGX: 5514\nXNA to TIZ: 15098\nXNA to HMB: 11148\nXNA to OMO: 8865\nXNA to OMD: 14417\nTIZ to HRG: 13600\nTIZ to KGX: 14247\nTIZ to HMB: 13760\nTIZ to OMO: 15681\nTIZ to OMD: 15050\nOMO to HRG: 3663\nOMO to KGX: 12339\nOMO to HMB: 3697\nOMO to OMD: 9766\nHRG to KGX: 14502\nHRG to HMB: 834\nHRG to OMD: 7387\nHMB to KGX: 14536\nHMB to OMD: 7362\nOMD to KGX: 18925\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60771,
"style": "rule"
}
|
{
"exact_answer": 60771,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"APF\", \"id\": 0}, {\"name\": \"FJR\", \"id\": 1}, {\"name\": \"XNA\", \"id\": 2}, {\"name\": \"TIZ\", \"id\": 3}, {\"name\": \"OMO\", \"id\": 4}, {\"name\": \"HRG\", \"id\": 5}, {\"name\": \"HMB\", \"id\": 6}, {\"name\": \"OMD\", \"id\": 7}, {\"name\": \"KGX\", \"id\": 8}], \"links\": [{\"weight\": 11004, \"source\": 0, \"target\": 5}, {\"weight\": 7273, \"source\": 0, \"target\": 8}, {\"weight\": 1977, \"source\": 0, \"target\": 2}, {\"weight\": 16811, \"source\": 0, \"target\": 3}, {\"weight\": 11038, \"source\": 0, \"target\": 6}, {\"weight\": 9082, \"source\": 0, \"target\": 4}, {\"weight\": 13088, \"source\": 0, \"target\": 1}, {\"weight\": 14228, \"source\": 0, \"target\": 7}, {\"weight\": 2580, \"source\": 1, \"target\": 5}, {\"weight\": 15245, \"source\": 1, \"target\": 8}, {\"weight\": 12811, \"source\": 1, \"target\": 2}, {\"weight\": 11729, \"source\": 1, \"target\": 3}, {\"weight\": 2740, \"source\": 1, \"target\": 6}, {\"weight\": 5664, \"source\": 1, \"target\": 4}, {\"weight\": 7790, \"source\": 1, \"target\": 7}, {\"weight\": 11114, \"source\": 2, \"target\": 5}, {\"weight\": 5514, \"source\": 2, \"target\": 8}, {\"weight\": 15098, \"source\": 2, \"target\": 3}, {\"weight\": 11148, \"source\": 2, \"target\": 6}, {\"weight\": 8865, \"source\": 2, \"target\": 4}, {\"weight\": 14417, \"source\": 2, \"target\": 7}, {\"weight\": 13600, \"source\": 3, \"target\": 5}, {\"weight\": 14247, \"source\": 3, \"target\": 8}, {\"weight\": 13760, \"source\": 3, \"target\": 6}, {\"weight\": 15681, \"source\": 3, \"target\": 4}, {\"weight\": 15050, \"source\": 3, \"target\": 7}, {\"weight\": 3663, \"source\": 4, \"target\": 5}, {\"weight\": 12339, \"source\": 4, \"target\": 8}, {\"weight\": 3697, \"source\": 4, \"target\": 6}, {\"weight\": 9766, \"source\": 4, \"target\": 7}, {\"weight\": 14502, \"source\": 5, \"target\": 8}, {\"weight\": 834, \"source\": 5, \"target\": 6}, {\"weight\": 7387, \"source\": 5, \"target\": 7}, {\"weight\": 14536, \"source\": 6, \"target\": 8}, {\"weight\": 7362, \"source\": 6, \"target\": 7}, {\"weight\": 18925, \"source\": 7, \"target\": 8}]}",
"id": 45,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: APF, FJR, XNA, TIZ, OMO, HRG, HMB, OMD, KGX\n- Travel distances (in kilometers) between each pair of airports:\nAPF to HRG: 11004\nAPF to KGX: 7273\nAPF to XNA: 1977\nAPF to TIZ: 16811\nAPF to HMB: 11038\nAPF to OMO: 9082\nAPF to FJR: 13088\nAPF to OMD: 14228\nFJR to HRG: 2580\nFJR to KGX: 15245\nFJR to XNA: 12811\nFJR to TIZ: 11729\nFJR to HMB: 2740\nFJR to OMO: 5664\nFJR to OMD: 7790\nXNA to HRG: 11114\nXNA to KGX: 5514\nXNA to TIZ: 15098\nXNA to HMB: 11148\nXNA to OMO: 8865\nXNA to OMD: 14417\nTIZ to HRG: 13600\nTIZ to KGX: 14247\nTIZ to HMB: 13760\nTIZ to OMO: 15681\nTIZ to OMD: 15050\nOMO to HRG: 3663\nOMO to KGX: 12339\nOMO to HMB: 3697\nOMO to OMD: 9766\nHRG to KGX: 14502\nHRG to HMB: 834\nHRG to OMD: 7387\nHMB to KGX: 14536\nHMB to OMD: 7362\nOMD to KGX: 18925\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKK, SCN, LOD, YVO, ANC, RES, HSG, BLJ, RRS\n- Travel distances (in kilometers) between each pair of airports:\nUKK to ANC: 14457\nUKK to HSG: 5615\nUKK to SCN: 5207\nUKK to YVO: 11023\nUKK to BLJ: 6542\nUKK to RES: 17284\nUKK to LOD: 12985\nUKK to RRS: 4905\nSCN to ANC: 10559\nSCN to HSG: 9277\nSCN to YVO: 6225\nSCN to BLJ: 1632\nSCN to RES: 12196\nSCN to LOD: 17290\nSCN to RRS: 1526\nLOD to ANC: 10815\nLOD to HSG: 9215\nLOD to YVO: 14518\nLOD to BLJ: 18562\nLOD to RES: 14098\nLOD to RRS: 16630\nYVO to ANC: 5986\nYVO to HSG: 12137\nYVO to BLJ: 6992\nYVO to RES: 10694\nYVO to RRS: 6746\nANC to HSG: 10945\nANC to BLJ: 11870\nANC to RES: 14273\nANC to RRS: 10180\nRES to HSG: 20402\nRES to BLJ: 11371\nRES to RRS: 13415\nHSG to BLJ: 10696\nHSG to RRS: 8653\nBLJ to RRS: 3027\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61759,
"style": "rule"
}
|
{
"exact_answer": 61759,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKK\", \"id\": 0}, {\"name\": \"SCN\", \"id\": 1}, {\"name\": \"LOD\", \"id\": 2}, {\"name\": \"YVO\", \"id\": 3}, {\"name\": \"ANC\", \"id\": 4}, {\"name\": \"RES\", \"id\": 5}, {\"name\": \"HSG\", \"id\": 6}, {\"name\": \"BLJ\", \"id\": 7}, {\"name\": \"RRS\", \"id\": 8}], \"links\": [{\"weight\": 14457, \"source\": 0, \"target\": 4}, {\"weight\": 5615, \"source\": 0, \"target\": 6}, {\"weight\": 5207, \"source\": 0, \"target\": 1}, {\"weight\": 11023, \"source\": 0, \"target\": 3}, {\"weight\": 6542, \"source\": 0, \"target\": 7}, {\"weight\": 17284, \"source\": 0, \"target\": 5}, {\"weight\": 12985, \"source\": 0, \"target\": 2}, {\"weight\": 4905, \"source\": 0, \"target\": 8}, {\"weight\": 10559, \"source\": 1, \"target\": 4}, {\"weight\": 9277, \"source\": 1, \"target\": 6}, {\"weight\": 6225, \"source\": 1, \"target\": 3}, {\"weight\": 1632, \"source\": 1, \"target\": 7}, {\"weight\": 12196, \"source\": 1, \"target\": 5}, {\"weight\": 17290, \"source\": 1, \"target\": 2}, {\"weight\": 1526, \"source\": 1, \"target\": 8}, {\"weight\": 10815, \"source\": 2, \"target\": 4}, {\"weight\": 9215, \"source\": 2, \"target\": 6}, {\"weight\": 14518, \"source\": 2, \"target\": 3}, {\"weight\": 18562, \"source\": 2, \"target\": 7}, {\"weight\": 14098, \"source\": 2, \"target\": 5}, {\"weight\": 16630, \"source\": 2, \"target\": 8}, {\"weight\": 5986, \"source\": 3, \"target\": 4}, {\"weight\": 12137, \"source\": 3, \"target\": 6}, {\"weight\": 6992, \"source\": 3, \"target\": 7}, {\"weight\": 10694, \"source\": 3, \"target\": 5}, {\"weight\": 6746, \"source\": 3, \"target\": 8}, {\"weight\": 10945, \"source\": 4, \"target\": 6}, {\"weight\": 11870, \"source\": 4, \"target\": 7}, {\"weight\": 14273, \"source\": 4, \"target\": 5}, {\"weight\": 10180, \"source\": 4, \"target\": 8}, {\"weight\": 20402, \"source\": 5, \"target\": 6}, {\"weight\": 11371, \"source\": 5, \"target\": 7}, {\"weight\": 13415, \"source\": 5, \"target\": 8}, {\"weight\": 10696, \"source\": 6, \"target\": 7}, {\"weight\": 8653, \"source\": 6, \"target\": 8}, {\"weight\": 3027, \"source\": 7, \"target\": 8}]}",
"id": 46,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKK, SCN, LOD, YVO, ANC, RES, HSG, BLJ, RRS\n- Travel distances (in kilometers) between each pair of airports:\nUKK to ANC: 14457\nUKK to HSG: 5615\nUKK to SCN: 5207\nUKK to YVO: 11023\nUKK to BLJ: 6542\nUKK to RES: 17284\nUKK to LOD: 12985\nUKK to RRS: 4905\nSCN to ANC: 10559\nSCN to HSG: 9277\nSCN to YVO: 6225\nSCN to BLJ: 1632\nSCN to RES: 12196\nSCN to LOD: 17290\nSCN to RRS: 1526\nLOD to ANC: 10815\nLOD to HSG: 9215\nLOD to YVO: 14518\nLOD to BLJ: 18562\nLOD to RES: 14098\nLOD to RRS: 16630\nYVO to ANC: 5986\nYVO to HSG: 12137\nYVO to BLJ: 6992\nYVO to RES: 10694\nYVO to RRS: 6746\nANC to HSG: 10945\nANC to BLJ: 11870\nANC to RES: 14273\nANC to RRS: 10180\nRES to HSG: 20402\nRES to BLJ: 11371\nRES to RRS: 13415\nHSG to BLJ: 10696\nHSG to RRS: 8653\nBLJ to RRS: 3027\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CFE, MIS, ROS, NGO, JSR, KAW, ZUM, RIX, BLI\n- Travel distances (in kilometers) between each pair of airports:\nCFE to JSR: 8162\nCFE to NGO: 9985\nCFE to KAW: 9768\nCFE to RIX: 1956\nCFE to ROS: 11008\nCFE to BLI: 8549\nCFE to MIS: 15446\nCFE to ZUM: 5491\nMIS to JSR: 8248\nMIS to NGO: 6048\nMIS to KAW: 8189\nMIS to RIX: 13662\nMIS to ROS: 15693\nMIS to BLI: 13495\nMIS to ZUM: 17676\nROS to JSR: 17600\nROS to NGO: 18700\nROS to KAW: 19096\nROS to RIX: 12817\nROS to BLI: 11078\nROS to ZUM: 10355\nNGO to JSR: 4843\nNGO to KAW: 5330\nNGO to RIX: 8141\nNGO to BLI: 8142\nNGO to ZUM: 12308\nJSR to KAW: 1957\nJSR to RIX: 6754\nJSR to BLI: 12343\nJSR to ZUM: 12952\nKAW to RIX: 8360\nKAW to BLI: 12909\nKAW to ZUM: 14619\nZUM to RIX: 6484\nZUM to BLI: 5042\nRIX to BLI: 8568\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59349,
"style": "rule"
}
|
{
"exact_answer": 59349,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CFE\", \"id\": 0}, {\"name\": \"MIS\", \"id\": 1}, {\"name\": \"ROS\", \"id\": 2}, {\"name\": \"NGO\", \"id\": 3}, {\"name\": \"JSR\", \"id\": 4}, {\"name\": \"KAW\", \"id\": 5}, {\"name\": \"ZUM\", \"id\": 6}, {\"name\": \"RIX\", \"id\": 7}, {\"name\": \"BLI\", \"id\": 8}], \"links\": [{\"weight\": 8162, \"source\": 0, \"target\": 4}, {\"weight\": 9985, \"source\": 0, \"target\": 3}, {\"weight\": 9768, \"source\": 0, \"target\": 5}, {\"weight\": 1956, \"source\": 0, \"target\": 7}, {\"weight\": 11008, \"source\": 0, \"target\": 2}, {\"weight\": 8549, \"source\": 0, \"target\": 8}, {\"weight\": 15446, \"source\": 0, \"target\": 1}, {\"weight\": 5491, \"source\": 0, \"target\": 6}, {\"weight\": 8248, \"source\": 1, \"target\": 4}, {\"weight\": 6048, \"source\": 1, \"target\": 3}, {\"weight\": 8189, \"source\": 1, \"target\": 5}, {\"weight\": 13662, \"source\": 1, \"target\": 7}, {\"weight\": 15693, \"source\": 1, \"target\": 2}, {\"weight\": 13495, \"source\": 1, \"target\": 8}, {\"weight\": 17676, \"source\": 1, \"target\": 6}, {\"weight\": 17600, \"source\": 2, \"target\": 4}, {\"weight\": 18700, \"source\": 2, \"target\": 3}, {\"weight\": 19096, \"source\": 2, \"target\": 5}, {\"weight\": 12817, \"source\": 2, \"target\": 7}, {\"weight\": 11078, \"source\": 2, \"target\": 8}, {\"weight\": 10355, \"source\": 2, \"target\": 6}, {\"weight\": 4843, \"source\": 3, \"target\": 4}, {\"weight\": 5330, \"source\": 3, \"target\": 5}, {\"weight\": 8141, \"source\": 3, \"target\": 7}, {\"weight\": 8142, \"source\": 3, \"target\": 8}, {\"weight\": 12308, \"source\": 3, \"target\": 6}, {\"weight\": 1957, \"source\": 4, \"target\": 5}, {\"weight\": 6754, \"source\": 4, \"target\": 7}, {\"weight\": 12343, \"source\": 4, \"target\": 8}, {\"weight\": 12952, \"source\": 4, \"target\": 6}, {\"weight\": 8360, \"source\": 5, \"target\": 7}, {\"weight\": 12909, \"source\": 5, \"target\": 8}, {\"weight\": 14619, \"source\": 5, \"target\": 6}, {\"weight\": 6484, \"source\": 6, \"target\": 7}, {\"weight\": 5042, \"source\": 6, \"target\": 8}, {\"weight\": 8568, \"source\": 7, \"target\": 8}]}",
"id": 47,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CFE, MIS, ROS, NGO, JSR, KAW, ZUM, RIX, BLI\n- Travel distances (in kilometers) between each pair of airports:\nCFE to JSR: 8162\nCFE to NGO: 9985\nCFE to KAW: 9768\nCFE to RIX: 1956\nCFE to ROS: 11008\nCFE to BLI: 8549\nCFE to MIS: 15446\nCFE to ZUM: 5491\nMIS to JSR: 8248\nMIS to NGO: 6048\nMIS to KAW: 8189\nMIS to RIX: 13662\nMIS to ROS: 15693\nMIS to BLI: 13495\nMIS to ZUM: 17676\nROS to JSR: 17600\nROS to NGO: 18700\nROS to KAW: 19096\nROS to RIX: 12817\nROS to BLI: 11078\nROS to ZUM: 10355\nNGO to JSR: 4843\nNGO to KAW: 5330\nNGO to RIX: 8141\nNGO to BLI: 8142\nNGO to ZUM: 12308\nJSR to KAW: 1957\nJSR to RIX: 6754\nJSR to BLI: 12343\nJSR to ZUM: 12952\nKAW to RIX: 8360\nKAW to BLI: 12909\nKAW to ZUM: 14619\nZUM to RIX: 6484\nZUM to BLI: 5042\nRIX to BLI: 8568\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRF, SLU, WTK, TET, PNQ, SFB, TSN, BUA, SKD\n- Travel distances (in kilometers) between each pair of airports:\nTRF to SKD: 4480\nTRF to SLU: 7941\nTRF to TSN: 7805\nTRF to PNQ: 6884\nTRF to WTK: 10887\nTRF to BUA: 14641\nTRF to SFB: 7411\nTRF to TET: 9331\nSLU to SKD: 12171\nSLU to TSN: 14866\nSLU to PNQ: 14043\nSLU to WTK: 9572\nSLU to BUA: 19401\nSLU to SFB: 2769\nSLU to TET: 13178\nWTK to SKD: 15217\nWTK to TSN: 12075\nWTK to PNQ: 16870\nWTK to BUA: 14859\nWTK to SFB: 7076\nWTK to TET: 19962\nTET to SKD: 8009\nTET to TSN: 11523\nTET to PNQ: 6826\nTET to BUA: 14765\nTET to SFB: 15570\nPNQ to SKD: 2970\nPNQ to TSN: 4947\nPNQ to BUA: 9679\nPNQ to SFB: 14149\nSFB to SKD: 11768\nSFB to TSN: 12826\nSFB to BUA: 16826\nTSN to SKD: 4303\nTSN to BUA: 7624\nBUA to SKD: 11049\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63699,
"style": "rule"
}
|
{
"exact_answer": 63699,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRF\", \"id\": 0}, {\"name\": \"SLU\", \"id\": 1}, {\"name\": \"WTK\", \"id\": 2}, {\"name\": \"TET\", \"id\": 3}, {\"name\": \"PNQ\", \"id\": 4}, {\"name\": \"SFB\", \"id\": 5}, {\"name\": \"TSN\", \"id\": 6}, {\"name\": \"BUA\", \"id\": 7}, {\"name\": \"SKD\", \"id\": 8}], \"links\": [{\"weight\": 4480, \"source\": 0, \"target\": 8}, {\"weight\": 7941, \"source\": 0, \"target\": 1}, {\"weight\": 7805, \"source\": 0, \"target\": 6}, {\"weight\": 6884, \"source\": 0, \"target\": 4}, {\"weight\": 10887, \"source\": 0, \"target\": 2}, {\"weight\": 14641, \"source\": 0, \"target\": 7}, {\"weight\": 7411, \"source\": 0, \"target\": 5}, {\"weight\": 9331, \"source\": 0, \"target\": 3}, {\"weight\": 12171, \"source\": 1, \"target\": 8}, {\"weight\": 14866, \"source\": 1, \"target\": 6}, {\"weight\": 14043, \"source\": 1, \"target\": 4}, {\"weight\": 9572, \"source\": 1, \"target\": 2}, {\"weight\": 19401, \"source\": 1, \"target\": 7}, {\"weight\": 2769, \"source\": 1, \"target\": 5}, {\"weight\": 13178, \"source\": 1, \"target\": 3}, {\"weight\": 15217, \"source\": 2, \"target\": 8}, {\"weight\": 12075, \"source\": 2, \"target\": 6}, {\"weight\": 16870, \"source\": 2, \"target\": 4}, {\"weight\": 14859, \"source\": 2, \"target\": 7}, {\"weight\": 7076, \"source\": 2, \"target\": 5}, {\"weight\": 19962, \"source\": 2, \"target\": 3}, {\"weight\": 8009, \"source\": 3, \"target\": 8}, {\"weight\": 11523, \"source\": 3, \"target\": 6}, {\"weight\": 6826, \"source\": 3, \"target\": 4}, {\"weight\": 14765, \"source\": 3, \"target\": 7}, {\"weight\": 15570, \"source\": 3, \"target\": 5}, {\"weight\": 2970, \"source\": 4, \"target\": 8}, {\"weight\": 4947, \"source\": 4, \"target\": 6}, {\"weight\": 9679, \"source\": 4, \"target\": 7}, {\"weight\": 14149, \"source\": 4, \"target\": 5}, {\"weight\": 11768, \"source\": 5, \"target\": 8}, {\"weight\": 12826, \"source\": 5, \"target\": 6}, {\"weight\": 16826, \"source\": 5, \"target\": 7}, {\"weight\": 4303, \"source\": 6, \"target\": 8}, {\"weight\": 7624, \"source\": 6, \"target\": 7}, {\"weight\": 11049, \"source\": 7, \"target\": 8}]}",
"id": 48,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRF, SLU, WTK, TET, PNQ, SFB, TSN, BUA, SKD\n- Travel distances (in kilometers) between each pair of airports:\nTRF to SKD: 4480\nTRF to SLU: 7941\nTRF to TSN: 7805\nTRF to PNQ: 6884\nTRF to WTK: 10887\nTRF to BUA: 14641\nTRF to SFB: 7411\nTRF to TET: 9331\nSLU to SKD: 12171\nSLU to TSN: 14866\nSLU to PNQ: 14043\nSLU to WTK: 9572\nSLU to BUA: 19401\nSLU to SFB: 2769\nSLU to TET: 13178\nWTK to SKD: 15217\nWTK to TSN: 12075\nWTK to PNQ: 16870\nWTK to BUA: 14859\nWTK to SFB: 7076\nWTK to TET: 19962\nTET to SKD: 8009\nTET to TSN: 11523\nTET to PNQ: 6826\nTET to BUA: 14765\nTET to SFB: 15570\nPNQ to SKD: 2970\nPNQ to TSN: 4947\nPNQ to BUA: 9679\nPNQ to SFB: 14149\nSFB to SKD: 11768\nSFB to TSN: 12826\nSFB to BUA: 16826\nTSN to SKD: 4303\nTSN to BUA: 7624\nBUA to SKD: 11049\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BLK, CMN, MQT, KWL, PVA, LYP, YKT, ITB, LBD\n- Travel distances (in kilometers) between each pair of airports:\nBLK to CMN: 2366\nBLK to KWL: 9366\nBLK to LBD: 5696\nBLK to YKT: 7930\nBLK to PVA: 9214\nBLK to MQT: 6381\nBLK to ITB: 9513\nBLK to LYP: 7690\nCMN to KWL: 10883\nCMN to LBD: 6733\nCMN to YKT: 9873\nCMN to PVA: 8541\nCMN to MQT: 7086\nCMN to ITB: 7348\nCMN to LYP: 8184\nMQT to KWL: 12810\nMQT to LBD: 11294\nMQT to YKT: 3862\nMQT to PVA: 4800\nMQT to ITB: 7113\nMQT to LYP: 13492\nKWL to LBD: 4434\nKWL to YKT: 10750\nKWL to PVA: 16634\nKWL to ITB: 17973\nKWL to LYP: 5248\nPVA to LBD: 14317\nPVA to YKT: 7127\nPVA to ITB: 3919\nPVA to LYP: 16258\nLYP to LBD: 5252\nLYP to YKT: 14779\nLYP to ITB: 15114\nYKT to LBD: 12427\nYKT to ITB: 9786\nITB to LBD: 14081\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49241,
"style": "rule"
}
|
{
"exact_answer": 49241,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BLK\", \"id\": 0}, {\"name\": \"CMN\", \"id\": 1}, {\"name\": \"MQT\", \"id\": 2}, {\"name\": \"KWL\", \"id\": 3}, {\"name\": \"PVA\", \"id\": 4}, {\"name\": \"LYP\", \"id\": 5}, {\"name\": \"YKT\", \"id\": 6}, {\"name\": \"ITB\", \"id\": 7}, {\"name\": \"LBD\", \"id\": 8}], \"links\": [{\"weight\": 2366, \"source\": 0, \"target\": 1}, {\"weight\": 9366, \"source\": 0, \"target\": 3}, {\"weight\": 5696, \"source\": 0, \"target\": 8}, {\"weight\": 7930, \"source\": 0, \"target\": 6}, {\"weight\": 9214, \"source\": 0, \"target\": 4}, {\"weight\": 6381, \"source\": 0, \"target\": 2}, {\"weight\": 9513, \"source\": 0, \"target\": 7}, {\"weight\": 7690, \"source\": 0, \"target\": 5}, {\"weight\": 10883, \"source\": 1, \"target\": 3}, {\"weight\": 6733, \"source\": 1, \"target\": 8}, {\"weight\": 9873, \"source\": 1, \"target\": 6}, {\"weight\": 8541, \"source\": 1, \"target\": 4}, {\"weight\": 7086, \"source\": 1, \"target\": 2}, {\"weight\": 7348, \"source\": 1, \"target\": 7}, {\"weight\": 8184, \"source\": 1, \"target\": 5}, {\"weight\": 12810, \"source\": 2, \"target\": 3}, {\"weight\": 11294, \"source\": 2, \"target\": 8}, {\"weight\": 3862, \"source\": 2, \"target\": 6}, {\"weight\": 4800, \"source\": 2, \"target\": 4}, {\"weight\": 7113, \"source\": 2, \"target\": 7}, {\"weight\": 13492, \"source\": 2, \"target\": 5}, {\"weight\": 4434, \"source\": 3, \"target\": 8}, {\"weight\": 10750, \"source\": 3, \"target\": 6}, {\"weight\": 16634, \"source\": 3, \"target\": 4}, {\"weight\": 17973, \"source\": 3, \"target\": 7}, {\"weight\": 5248, \"source\": 3, \"target\": 5}, {\"weight\": 14317, \"source\": 4, \"target\": 8}, {\"weight\": 7127, \"source\": 4, \"target\": 6}, {\"weight\": 3919, \"source\": 4, \"target\": 7}, {\"weight\": 16258, \"source\": 4, \"target\": 5}, {\"weight\": 5252, \"source\": 5, \"target\": 8}, {\"weight\": 14779, \"source\": 5, \"target\": 6}, {\"weight\": 15114, \"source\": 5, \"target\": 7}, {\"weight\": 12427, \"source\": 6, \"target\": 8}, {\"weight\": 9786, \"source\": 6, \"target\": 7}, {\"weight\": 14081, \"source\": 7, \"target\": 8}]}",
"id": 49,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BLK, CMN, MQT, KWL, PVA, LYP, YKT, ITB, LBD\n- Travel distances (in kilometers) between each pair of airports:\nBLK to CMN: 2366\nBLK to KWL: 9366\nBLK to LBD: 5696\nBLK to YKT: 7930\nBLK to PVA: 9214\nBLK to MQT: 6381\nBLK to ITB: 9513\nBLK to LYP: 7690\nCMN to KWL: 10883\nCMN to LBD: 6733\nCMN to YKT: 9873\nCMN to PVA: 8541\nCMN to MQT: 7086\nCMN to ITB: 7348\nCMN to LYP: 8184\nMQT to KWL: 12810\nMQT to LBD: 11294\nMQT to YKT: 3862\nMQT to PVA: 4800\nMQT to ITB: 7113\nMQT to LYP: 13492\nKWL to LBD: 4434\nKWL to YKT: 10750\nKWL to PVA: 16634\nKWL to ITB: 17973\nKWL to LYP: 5248\nPVA to LBD: 14317\nPVA to YKT: 7127\nPVA to ITB: 3919\nPVA to LYP: 16258\nLYP to LBD: 5252\nLYP to YKT: 14779\nLYP to ITB: 15114\nYKT to LBD: 12427\nYKT to ITB: 9786\nITB to LBD: 14081\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZA, SUG, NOJ, TTE, NKG, BNY, TMS, ZTB, MJU\n- Travel distances (in kilometers) between each pair of airports:\nIZA to SUG: 19413\nIZA to NKG: 18172\nIZA to TMS: 8042\nIZA to TTE: 19427\nIZA to BNY: 16657\nIZA to MJU: 18960\nIZA to ZTB: 9465\nIZA to NOJ: 13801\nSUG to NKG: 2644\nSUG to TMS: 14134\nSUG to TTE: 3429\nSUG to BNY: 5174\nSUG to MJU: 2915\nSUG to ZTB: 15520\nSUG to NOJ: 8286\nNOJ to NKG: 5906\nNOJ to TMS: 10727\nNOJ to TTE: 10422\nNOJ to BNY: 13106\nNOJ to MJU: 9908\nNOJ to ZTB: 9254\nTTE to NKG: 5136\nTTE to TMS: 14471\nTTE to BNY: 6858\nTTE to MJU: 1362\nTTE to ZTB: 17952\nNKG to TMS: 13332\nNKG to BNY: 7475\nNKG to MJU: 4622\nNKG to ZTB: 13276\nBNY to TMS: 17857\nBNY to MJU: 6044\nBNY to ZTB: 16434\nTMS to MJU: 14004\nTMS to ZTB: 10589\nZTB to MJU: 17485\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62362,
"style": "rule"
}
|
{
"exact_answer": 62362,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IZA\", \"id\": 0}, {\"name\": \"SUG\", \"id\": 1}, {\"name\": \"NOJ\", \"id\": 2}, {\"name\": \"TTE\", \"id\": 3}, {\"name\": \"NKG\", \"id\": 4}, {\"name\": \"BNY\", \"id\": 5}, {\"name\": \"TMS\", \"id\": 6}, {\"name\": \"ZTB\", \"id\": 7}, {\"name\": \"MJU\", \"id\": 8}], \"links\": [{\"weight\": 19413, \"source\": 0, \"target\": 1}, {\"weight\": 18172, \"source\": 0, \"target\": 4}, {\"weight\": 8042, \"source\": 0, \"target\": 6}, {\"weight\": 19427, \"source\": 0, \"target\": 3}, {\"weight\": 16657, \"source\": 0, \"target\": 5}, {\"weight\": 18960, \"source\": 0, \"target\": 8}, {\"weight\": 9465, \"source\": 0, \"target\": 7}, {\"weight\": 13801, \"source\": 0, \"target\": 2}, {\"weight\": 2644, \"source\": 1, \"target\": 4}, {\"weight\": 14134, \"source\": 1, \"target\": 6}, {\"weight\": 3429, \"source\": 1, \"target\": 3}, {\"weight\": 5174, \"source\": 1, \"target\": 5}, {\"weight\": 2915, \"source\": 1, \"target\": 8}, {\"weight\": 15520, \"source\": 1, \"target\": 7}, {\"weight\": 8286, \"source\": 1, \"target\": 2}, {\"weight\": 5906, \"source\": 2, \"target\": 4}, {\"weight\": 10727, \"source\": 2, \"target\": 6}, {\"weight\": 10422, \"source\": 2, \"target\": 3}, {\"weight\": 13106, \"source\": 2, \"target\": 5}, {\"weight\": 9908, \"source\": 2, \"target\": 8}, {\"weight\": 9254, \"source\": 2, \"target\": 7}, {\"weight\": 5136, \"source\": 3, \"target\": 4}, {\"weight\": 14471, \"source\": 3, \"target\": 6}, {\"weight\": 6858, \"source\": 3, \"target\": 5}, {\"weight\": 1362, \"source\": 3, \"target\": 8}, {\"weight\": 17952, \"source\": 3, \"target\": 7}, {\"weight\": 13332, \"source\": 4, \"target\": 6}, {\"weight\": 7475, \"source\": 4, \"target\": 5}, {\"weight\": 4622, \"source\": 4, \"target\": 8}, {\"weight\": 13276, \"source\": 4, \"target\": 7}, {\"weight\": 17857, \"source\": 5, \"target\": 6}, {\"weight\": 6044, \"source\": 5, \"target\": 8}, {\"weight\": 16434, \"source\": 5, \"target\": 7}, {\"weight\": 14004, \"source\": 6, \"target\": 8}, {\"weight\": 10589, \"source\": 6, \"target\": 7}, {\"weight\": 17485, \"source\": 7, \"target\": 8}]}",
"id": 50,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZA, SUG, NOJ, TTE, NKG, BNY, TMS, ZTB, MJU\n- Travel distances (in kilometers) between each pair of airports:\nIZA to SUG: 19413\nIZA to NKG: 18172\nIZA to TMS: 8042\nIZA to TTE: 19427\nIZA to BNY: 16657\nIZA to MJU: 18960\nIZA to ZTB: 9465\nIZA to NOJ: 13801\nSUG to NKG: 2644\nSUG to TMS: 14134\nSUG to TTE: 3429\nSUG to BNY: 5174\nSUG to MJU: 2915\nSUG to ZTB: 15520\nSUG to NOJ: 8286\nNOJ to NKG: 5906\nNOJ to TMS: 10727\nNOJ to TTE: 10422\nNOJ to BNY: 13106\nNOJ to MJU: 9908\nNOJ to ZTB: 9254\nTTE to NKG: 5136\nTTE to TMS: 14471\nTTE to BNY: 6858\nTTE to MJU: 1362\nTTE to ZTB: 17952\nNKG to TMS: 13332\nNKG to BNY: 7475\nNKG to MJU: 4622\nNKG to ZTB: 13276\nBNY to TMS: 17857\nBNY to MJU: 6044\nBNY to ZTB: 16434\nTMS to MJU: 14004\nTMS to ZTB: 10589\nZTB to MJU: 17485\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZFN, IMT, COS, BJR, HJR, ZAH, BIL, PQM, VST\n- Travel distances (in kilometers) between each pair of airports:\nZFN to PQM: 6408\nZFN to BIL: 3621\nZFN to COS: 3367\nZFN to HJR: 14810\nZFN to ZAH: 13881\nZFN to IMT: 3814\nZFN to BJR: 14664\nZFN to VST: 9795\nIMT to PQM: 4118\nIMT to BIL: 1611\nIMT to COS: 1620\nIMT to HJR: 13939\nIMT to ZAH: 12484\nIMT to BJR: 13100\nIMT to VST: 8560\nCOS to PQM: 3275\nCOS to BIL: 849\nCOS to HJR: 14244\nCOS to ZAH: 13144\nCOS to BJR: 13867\nCOS to VST: 9058\nBJR to PQM: 15723\nBJR to BIL: 13887\nBJR to HJR: 5528\nBJR to ZAH: 3573\nBJR to VST: 7586\nHJR to PQM: 16534\nHJR to BIL: 13594\nHJR to ZAH: 3598\nHJR to VST: 8975\nZAH to PQM: 15415\nZAH to BIL: 13271\nZAH to VST: 6989\nBIL to PQM: 3890\nBIL to VST: 9347\nPQM to VST: 11089\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49990,
"style": "rule"
}
|
{
"exact_answer": 49990,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZFN\", \"id\": 0}, {\"name\": \"IMT\", \"id\": 1}, {\"name\": \"COS\", \"id\": 2}, {\"name\": \"BJR\", \"id\": 3}, {\"name\": \"HJR\", \"id\": 4}, {\"name\": \"ZAH\", \"id\": 5}, {\"name\": \"BIL\", \"id\": 6}, {\"name\": \"PQM\", \"id\": 7}, {\"name\": \"VST\", \"id\": 8}], \"links\": [{\"weight\": 6408, \"source\": 0, \"target\": 7}, {\"weight\": 3621, \"source\": 0, \"target\": 6}, {\"weight\": 3367, \"source\": 0, \"target\": 2}, {\"weight\": 14810, \"source\": 0, \"target\": 4}, {\"weight\": 13881, \"source\": 0, \"target\": 5}, {\"weight\": 3814, \"source\": 0, \"target\": 1}, {\"weight\": 14664, \"source\": 0, \"target\": 3}, {\"weight\": 9795, \"source\": 0, \"target\": 8}, {\"weight\": 4118, \"source\": 1, \"target\": 7}, {\"weight\": 1611, \"source\": 1, \"target\": 6}, {\"weight\": 1620, \"source\": 1, \"target\": 2}, {\"weight\": 13939, \"source\": 1, \"target\": 4}, {\"weight\": 12484, \"source\": 1, \"target\": 5}, {\"weight\": 13100, \"source\": 1, \"target\": 3}, {\"weight\": 8560, \"source\": 1, \"target\": 8}, {\"weight\": 3275, \"source\": 2, \"target\": 7}, {\"weight\": 849, \"source\": 2, \"target\": 6}, {\"weight\": 14244, \"source\": 2, \"target\": 4}, {\"weight\": 13144, \"source\": 2, \"target\": 5}, {\"weight\": 13867, \"source\": 2, \"target\": 3}, {\"weight\": 9058, \"source\": 2, \"target\": 8}, {\"weight\": 15723, \"source\": 3, \"target\": 7}, {\"weight\": 13887, \"source\": 3, \"target\": 6}, {\"weight\": 5528, \"source\": 3, \"target\": 4}, {\"weight\": 3573, \"source\": 3, \"target\": 5}, {\"weight\": 7586, \"source\": 3, \"target\": 8}, {\"weight\": 16534, \"source\": 4, \"target\": 7}, {\"weight\": 13594, \"source\": 4, \"target\": 6}, {\"weight\": 3598, \"source\": 4, \"target\": 5}, {\"weight\": 8975, \"source\": 4, \"target\": 8}, {\"weight\": 15415, \"source\": 5, \"target\": 7}, {\"weight\": 13271, \"source\": 5, \"target\": 6}, {\"weight\": 6989, \"source\": 5, \"target\": 8}, {\"weight\": 3890, \"source\": 6, \"target\": 7}, {\"weight\": 9347, \"source\": 6, \"target\": 8}, {\"weight\": 11089, \"source\": 7, \"target\": 8}]}",
"id": 51,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZFN, IMT, COS, BJR, HJR, ZAH, BIL, PQM, VST\n- Travel distances (in kilometers) between each pair of airports:\nZFN to PQM: 6408\nZFN to BIL: 3621\nZFN to COS: 3367\nZFN to HJR: 14810\nZFN to ZAH: 13881\nZFN to IMT: 3814\nZFN to BJR: 14664\nZFN to VST: 9795\nIMT to PQM: 4118\nIMT to BIL: 1611\nIMT to COS: 1620\nIMT to HJR: 13939\nIMT to ZAH: 12484\nIMT to BJR: 13100\nIMT to VST: 8560\nCOS to PQM: 3275\nCOS to BIL: 849\nCOS to HJR: 14244\nCOS to ZAH: 13144\nCOS to BJR: 13867\nCOS to VST: 9058\nBJR to PQM: 15723\nBJR to BIL: 13887\nBJR to HJR: 5528\nBJR to ZAH: 3573\nBJR to VST: 7586\nHJR to PQM: 16534\nHJR to BIL: 13594\nHJR to ZAH: 3598\nHJR to VST: 8975\nZAH to PQM: 15415\nZAH to BIL: 13271\nZAH to VST: 6989\nBIL to PQM: 3890\nBIL to VST: 9347\nPQM to VST: 11089\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BPN, AOO, HRB, UIP, QFG, OSW, KKE, TCB, FMN\n- Travel distances (in kilometers) between each pair of airports:\nBPN to TCB: 17297\nBPN to HRB: 5452\nBPN to UIP: 12728\nBPN to FMN: 14828\nBPN to QFG: 14953\nBPN to KKE: 7843\nBPN to OSW: 11316\nBPN to AOO: 15932\nAOO to TCB: 1904\nAOO to HRB: 12246\nAOO to UIP: 6855\nAOO to FMN: 2963\nAOO to QFG: 6594\nAOO to KKE: 14535\nAOO to OSW: 9494\nHRB to TCB: 13613\nHRB to UIP: 8825\nHRB to FMN: 11337\nHRB to QFG: 10835\nHRB to KKE: 10604\nHRB to OSW: 7362\nUIP to TCB: 8330\nUIP to FMN: 8818\nUIP to QFG: 4684\nUIP to KKE: 19282\nUIP to OSW: 4450\nQFG to TCB: 8085\nQFG to FMN: 8124\nQFG to KKE: 19232\nQFG to OSW: 6766\nOSW to TCB: 10985\nOSW to FMN: 11024\nOSW to KKE: 17913\nKKE to TCB: 14740\nKKE to FMN: 11813\nTCB to FMN: 3487\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53589,
"style": "rule"
}
|
{
"exact_answer": 53589,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BPN\", \"id\": 0}, {\"name\": \"AOO\", \"id\": 1}, {\"name\": \"HRB\", \"id\": 2}, {\"name\": \"UIP\", \"id\": 3}, {\"name\": \"QFG\", \"id\": 4}, {\"name\": \"OSW\", \"id\": 5}, {\"name\": \"KKE\", \"id\": 6}, {\"name\": \"TCB\", \"id\": 7}, {\"name\": \"FMN\", \"id\": 8}], \"links\": [{\"weight\": 17297, \"source\": 0, \"target\": 7}, {\"weight\": 5452, \"source\": 0, \"target\": 2}, {\"weight\": 12728, \"source\": 0, \"target\": 3}, {\"weight\": 14828, \"source\": 0, \"target\": 8}, {\"weight\": 14953, \"source\": 0, \"target\": 4}, {\"weight\": 7843, \"source\": 0, \"target\": 6}, {\"weight\": 11316, \"source\": 0, \"target\": 5}, {\"weight\": 15932, \"source\": 0, \"target\": 1}, {\"weight\": 1904, \"source\": 1, \"target\": 7}, {\"weight\": 12246, \"source\": 1, \"target\": 2}, {\"weight\": 6855, \"source\": 1, \"target\": 3}, {\"weight\": 2963, \"source\": 1, \"target\": 8}, {\"weight\": 6594, \"source\": 1, \"target\": 4}, {\"weight\": 14535, \"source\": 1, \"target\": 6}, {\"weight\": 9494, \"source\": 1, \"target\": 5}, {\"weight\": 13613, \"source\": 2, \"target\": 7}, {\"weight\": 8825, \"source\": 2, \"target\": 3}, {\"weight\": 11337, \"source\": 2, \"target\": 8}, {\"weight\": 10835, \"source\": 2, \"target\": 4}, {\"weight\": 10604, \"source\": 2, \"target\": 6}, {\"weight\": 7362, \"source\": 2, \"target\": 5}, {\"weight\": 8330, \"source\": 3, \"target\": 7}, {\"weight\": 8818, \"source\": 3, \"target\": 8}, {\"weight\": 4684, \"source\": 3, \"target\": 4}, {\"weight\": 19282, \"source\": 3, \"target\": 6}, {\"weight\": 4450, \"source\": 3, \"target\": 5}, {\"weight\": 8085, \"source\": 4, \"target\": 7}, {\"weight\": 8124, \"source\": 4, \"target\": 8}, {\"weight\": 19232, \"source\": 4, \"target\": 6}, {\"weight\": 6766, \"source\": 4, \"target\": 5}, {\"weight\": 10985, \"source\": 5, \"target\": 7}, {\"weight\": 11024, \"source\": 5, \"target\": 8}, {\"weight\": 17913, \"source\": 5, \"target\": 6}, {\"weight\": 14740, \"source\": 6, \"target\": 7}, {\"weight\": 11813, \"source\": 6, \"target\": 8}, {\"weight\": 3487, \"source\": 7, \"target\": 8}]}",
"id": 52,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BPN, AOO, HRB, UIP, QFG, OSW, KKE, TCB, FMN\n- Travel distances (in kilometers) between each pair of airports:\nBPN to TCB: 17297\nBPN to HRB: 5452\nBPN to UIP: 12728\nBPN to FMN: 14828\nBPN to QFG: 14953\nBPN to KKE: 7843\nBPN to OSW: 11316\nBPN to AOO: 15932\nAOO to TCB: 1904\nAOO to HRB: 12246\nAOO to UIP: 6855\nAOO to FMN: 2963\nAOO to QFG: 6594\nAOO to KKE: 14535\nAOO to OSW: 9494\nHRB to TCB: 13613\nHRB to UIP: 8825\nHRB to FMN: 11337\nHRB to QFG: 10835\nHRB to KKE: 10604\nHRB to OSW: 7362\nUIP to TCB: 8330\nUIP to FMN: 8818\nUIP to QFG: 4684\nUIP to KKE: 19282\nUIP to OSW: 4450\nQFG to TCB: 8085\nQFG to FMN: 8124\nQFG to KKE: 19232\nQFG to OSW: 6766\nOSW to TCB: 10985\nOSW to FMN: 11024\nOSW to KKE: 17913\nKKE to TCB: 14740\nKKE to FMN: 11813\nTCB to FMN: 3487\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MLY, BFF, RMP, SML, PHL, VAW, PUF, CEM\n- Travel distances (in kilometers) between each pair of airports:\nRKD to CEM: 6672\nRKD to MLY: 6638\nRKD to RMP: 6637\nRKD to PHL: 692\nRKD to PUF: 6443\nRKD to SML: 2533\nRKD to VAW: 6998\nRKD to BFF: 3299\nMLY to CEM: 298\nMLY to RMP: 263\nMLY to PHL: 6166\nMLY to PUF: 11293\nMLY to SML: 7495\nMLY to VAW: 11285\nMLY to BFF: 4478\nBFF to CEM: 4512\nBFF to RMP: 4477\nBFF to PHL: 2740\nBFF to PUF: 8736\nBFF to SML: 3538\nBFF to VAW: 8848\nRMP to CEM: 297\nRMP to PHL: 6165\nRMP to PUF: 11292\nRMP to SML: 7494\nRMP to VAW: 11284\nSML to CEM: 7529\nSML to PHL: 1937\nSML to PUF: 8250\nSML to VAW: 9045\nPHL to CEM: 6200\nPHL to PUF: 6615\nPHL to VAW: 7185\nVAW to CEM: 11319\nVAW to PUF: 3473\nPUF to CEM: 11327\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 32440,
"style": "rule"
}
|
{
"exact_answer": 32440,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RKD\", \"id\": 0}, {\"name\": \"MLY\", \"id\": 1}, {\"name\": \"BFF\", \"id\": 2}, {\"name\": \"RMP\", \"id\": 3}, {\"name\": \"SML\", \"id\": 4}, {\"name\": \"PHL\", \"id\": 5}, {\"name\": \"VAW\", \"id\": 6}, {\"name\": \"PUF\", \"id\": 7}, {\"name\": \"CEM\", \"id\": 8}], \"links\": [{\"weight\": 6672, \"source\": 0, \"target\": 8}, {\"weight\": 6638, \"source\": 0, \"target\": 1}, {\"weight\": 6637, \"source\": 0, \"target\": 3}, {\"weight\": 692, \"source\": 0, \"target\": 5}, {\"weight\": 6443, \"source\": 0, \"target\": 7}, {\"weight\": 2533, \"source\": 0, \"target\": 4}, {\"weight\": 6998, \"source\": 0, \"target\": 6}, {\"weight\": 3299, \"source\": 0, \"target\": 2}, {\"weight\": 298, \"source\": 1, \"target\": 8}, {\"weight\": 263, \"source\": 1, \"target\": 3}, {\"weight\": 6166, \"source\": 1, \"target\": 5}, {\"weight\": 11293, \"source\": 1, \"target\": 7}, {\"weight\": 7495, \"source\": 1, \"target\": 4}, {\"weight\": 11285, \"source\": 1, \"target\": 6}, {\"weight\": 4478, \"source\": 1, \"target\": 2}, {\"weight\": 4512, \"source\": 2, \"target\": 8}, {\"weight\": 4477, \"source\": 2, \"target\": 3}, {\"weight\": 2740, \"source\": 2, \"target\": 5}, {\"weight\": 8736, \"source\": 2, \"target\": 7}, {\"weight\": 3538, \"source\": 2, \"target\": 4}, {\"weight\": 8848, \"source\": 2, \"target\": 6}, {\"weight\": 297, \"source\": 3, \"target\": 8}, {\"weight\": 6165, \"source\": 3, \"target\": 5}, {\"weight\": 11292, \"source\": 3, \"target\": 7}, {\"weight\": 7494, \"source\": 3, \"target\": 4}, {\"weight\": 11284, \"source\": 3, \"target\": 6}, {\"weight\": 7529, \"source\": 4, \"target\": 8}, {\"weight\": 1937, \"source\": 4, \"target\": 5}, {\"weight\": 8250, \"source\": 4, \"target\": 7}, {\"weight\": 9045, \"source\": 4, \"target\": 6}, {\"weight\": 6200, \"source\": 5, \"target\": 8}, {\"weight\": 6615, \"source\": 5, \"target\": 7}, {\"weight\": 7185, \"source\": 5, \"target\": 6}, {\"weight\": 11319, \"source\": 6, \"target\": 8}, {\"weight\": 3473, \"source\": 6, \"target\": 7}, {\"weight\": 11327, \"source\": 7, \"target\": 8}]}",
"id": 53,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MLY, BFF, RMP, SML, PHL, VAW, PUF, CEM\n- Travel distances (in kilometers) between each pair of airports:\nRKD to CEM: 6672\nRKD to MLY: 6638\nRKD to RMP: 6637\nRKD to PHL: 692\nRKD to PUF: 6443\nRKD to SML: 2533\nRKD to VAW: 6998\nRKD to BFF: 3299\nMLY to CEM: 298\nMLY to RMP: 263\nMLY to PHL: 6166\nMLY to PUF: 11293\nMLY to SML: 7495\nMLY to VAW: 11285\nMLY to BFF: 4478\nBFF to CEM: 4512\nBFF to RMP: 4477\nBFF to PHL: 2740\nBFF to PUF: 8736\nBFF to SML: 3538\nBFF to VAW: 8848\nRMP to CEM: 297\nRMP to PHL: 6165\nRMP to PUF: 11292\nRMP to SML: 7494\nRMP to VAW: 11284\nSML to CEM: 7529\nSML to PHL: 1937\nSML to PUF: 8250\nSML to VAW: 9045\nPHL to CEM: 6200\nPHL to PUF: 6615\nPHL to VAW: 7185\nVAW to CEM: 11319\nVAW to PUF: 3473\nPUF to CEM: 11327\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MDW, DGO, HDM, VAW, OSS, KCT, KSH, WYA, USM\n- Travel distances (in kilometers) between each pair of airports:\nMDW to DGO: 2597\nMDW to KSH: 10667\nMDW to USM: 14794\nMDW to OSS: 11228\nMDW to HDM: 12622\nMDW to KCT: 14909\nMDW to VAW: 7760\nMDW to WYA: 16193\nDGO to KSH: 13145\nDGO to USM: 15444\nDGO to OSS: 13675\nDGO to HDM: 15100\nDGO to KCT: 17072\nDGO to VAW: 10229\nDGO to WYA: 15114\nHDM to KSH: 2165\nHDM to USM: 6273\nHDM to OSS: 2861\nHDM to KCT: 5088\nHDM to VAW: 7061\nHDM to WYA: 12668\nVAW to KSH: 5575\nVAW to USM: 10039\nVAW to OSS: 5549\nVAW to KCT: 9194\nVAW to WYA: 16520\nOSS to KSH: 2998\nOSS to USM: 4981\nOSS to KCT: 4695\nOSS to WYA: 11462\nKCT to KSH: 5045\nKCT to USM: 2996\nKCT to WYA: 8428\nKSH to USM: 6410\nKSH to WYA: 12805\nWYA to USM: 6640\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50403,
"style": "rule"
}
|
{
"exact_answer": 50403,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MDW\", \"id\": 0}, {\"name\": \"DGO\", \"id\": 1}, {\"name\": \"HDM\", \"id\": 2}, {\"name\": \"VAW\", \"id\": 3}, {\"name\": \"OSS\", \"id\": 4}, {\"name\": \"KCT\", \"id\": 5}, {\"name\": \"KSH\", \"id\": 6}, {\"name\": \"WYA\", \"id\": 7}, {\"name\": \"USM\", \"id\": 8}], \"links\": [{\"weight\": 2597, \"source\": 0, \"target\": 1}, {\"weight\": 10667, \"source\": 0, \"target\": 6}, {\"weight\": 14794, \"source\": 0, \"target\": 8}, {\"weight\": 11228, \"source\": 0, \"target\": 4}, {\"weight\": 12622, \"source\": 0, \"target\": 2}, {\"weight\": 14909, \"source\": 0, \"target\": 5}, {\"weight\": 7760, \"source\": 0, \"target\": 3}, {\"weight\": 16193, \"source\": 0, \"target\": 7}, {\"weight\": 13145, \"source\": 1, \"target\": 6}, {\"weight\": 15444, \"source\": 1, \"target\": 8}, {\"weight\": 13675, \"source\": 1, \"target\": 4}, {\"weight\": 15100, \"source\": 1, \"target\": 2}, {\"weight\": 17072, \"source\": 1, \"target\": 5}, {\"weight\": 10229, \"source\": 1, \"target\": 3}, {\"weight\": 15114, \"source\": 1, \"target\": 7}, {\"weight\": 2165, \"source\": 2, \"target\": 6}, {\"weight\": 6273, \"source\": 2, \"target\": 8}, {\"weight\": 2861, \"source\": 2, \"target\": 4}, {\"weight\": 5088, \"source\": 2, \"target\": 5}, {\"weight\": 7061, \"source\": 2, \"target\": 3}, {\"weight\": 12668, \"source\": 2, \"target\": 7}, {\"weight\": 5575, \"source\": 3, \"target\": 6}, {\"weight\": 10039, \"source\": 3, \"target\": 8}, {\"weight\": 5549, \"source\": 3, \"target\": 4}, {\"weight\": 9194, \"source\": 3, \"target\": 5}, {\"weight\": 16520, \"source\": 3, \"target\": 7}, {\"weight\": 2998, \"source\": 4, \"target\": 6}, {\"weight\": 4981, \"source\": 4, \"target\": 8}, {\"weight\": 4695, \"source\": 4, \"target\": 5}, {\"weight\": 11462, \"source\": 4, \"target\": 7}, {\"weight\": 5045, \"source\": 5, \"target\": 6}, {\"weight\": 2996, \"source\": 5, \"target\": 8}, {\"weight\": 8428, \"source\": 5, \"target\": 7}, {\"weight\": 6410, \"source\": 6, \"target\": 8}, {\"weight\": 12805, \"source\": 6, \"target\": 7}, {\"weight\": 6640, \"source\": 7, \"target\": 8}]}",
"id": 54,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MDW, DGO, HDM, VAW, OSS, KCT, KSH, WYA, USM\n- Travel distances (in kilometers) between each pair of airports:\nMDW to DGO: 2597\nMDW to KSH: 10667\nMDW to USM: 14794\nMDW to OSS: 11228\nMDW to HDM: 12622\nMDW to KCT: 14909\nMDW to VAW: 7760\nMDW to WYA: 16193\nDGO to KSH: 13145\nDGO to USM: 15444\nDGO to OSS: 13675\nDGO to HDM: 15100\nDGO to KCT: 17072\nDGO to VAW: 10229\nDGO to WYA: 15114\nHDM to KSH: 2165\nHDM to USM: 6273\nHDM to OSS: 2861\nHDM to KCT: 5088\nHDM to VAW: 7061\nHDM to WYA: 12668\nVAW to KSH: 5575\nVAW to USM: 10039\nVAW to OSS: 5549\nVAW to KCT: 9194\nVAW to WYA: 16520\nOSS to KSH: 2998\nOSS to USM: 4981\nOSS to KCT: 4695\nOSS to WYA: 11462\nKCT to KSH: 5045\nKCT to USM: 2996\nKCT to WYA: 8428\nKSH to USM: 6410\nKSH to WYA: 12805\nWYA to USM: 6640\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUK, PLJ, FUG, CEZ, ZMT, VOL, OKL, NTX, ASB\n- Travel distances (in kilometers) between each pair of airports:\nFUK to ZMT: 9255\nFUK to PLJ: 13272\nFUK to VOL: 9650\nFUK to ASB: 6383\nFUK to FUG: 1725\nFUK to OKL: 7356\nFUK to NTX: 5586\nFUK to CEZ: 10673\nPLJ to ZMT: 5654\nPLJ to VOL: 10770\nPLJ to ASB: 13044\nPLJ to FUG: 14027\nPLJ to OKL: 20385\nPLJ to NTX: 18615\nPLJ to CEZ: 3501\nFUG to ZMT: 10112\nFUG to VOL: 8651\nFUG to ASB: 5290\nFUG to OKL: 6979\nFUG to NTX: 4738\nFUG to CEZ: 11530\nCEZ to ZMT: 3052\nCEZ to VOL: 10216\nCEZ to ASB: 12020\nCEZ to OKL: 17818\nCEZ to NTX: 16051\nZMT to VOL: 10531\nZMT to ASB: 12395\nZMT to OKL: 16400\nZMT to NTX: 14633\nVOL to ASB: 3646\nVOL to OKL: 14072\nVOL to NTX: 10396\nOKL to ASB: 10569\nOKL to NTX: 5016\nNTX to ASB: 7030\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50974,
"style": "rule"
}
|
{
"exact_answer": 50974,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FUK\", \"id\": 0}, {\"name\": \"PLJ\", \"id\": 1}, {\"name\": \"FUG\", \"id\": 2}, {\"name\": \"CEZ\", \"id\": 3}, {\"name\": \"ZMT\", \"id\": 4}, {\"name\": \"VOL\", \"id\": 5}, {\"name\": \"OKL\", \"id\": 6}, {\"name\": \"NTX\", \"id\": 7}, {\"name\": \"ASB\", \"id\": 8}], \"links\": [{\"weight\": 9255, \"source\": 0, \"target\": 4}, {\"weight\": 13272, \"source\": 0, \"target\": 1}, {\"weight\": 9650, \"source\": 0, \"target\": 5}, {\"weight\": 6383, \"source\": 0, \"target\": 8}, {\"weight\": 1725, \"source\": 0, \"target\": 2}, {\"weight\": 7356, \"source\": 0, \"target\": 6}, {\"weight\": 5586, \"source\": 0, \"target\": 7}, {\"weight\": 10673, \"source\": 0, \"target\": 3}, {\"weight\": 5654, \"source\": 1, \"target\": 4}, {\"weight\": 10770, \"source\": 1, \"target\": 5}, {\"weight\": 13044, \"source\": 1, \"target\": 8}, {\"weight\": 14027, \"source\": 1, \"target\": 2}, {\"weight\": 20385, \"source\": 1, \"target\": 6}, {\"weight\": 18615, \"source\": 1, \"target\": 7}, {\"weight\": 3501, \"source\": 1, \"target\": 3}, {\"weight\": 10112, \"source\": 2, \"target\": 4}, {\"weight\": 8651, \"source\": 2, \"target\": 5}, {\"weight\": 5290, \"source\": 2, \"target\": 8}, {\"weight\": 6979, \"source\": 2, \"target\": 6}, {\"weight\": 4738, \"source\": 2, \"target\": 7}, {\"weight\": 11530, \"source\": 2, \"target\": 3}, {\"weight\": 3052, \"source\": 3, \"target\": 4}, {\"weight\": 10216, \"source\": 3, \"target\": 5}, {\"weight\": 12020, \"source\": 3, \"target\": 8}, {\"weight\": 17818, \"source\": 3, \"target\": 6}, {\"weight\": 16051, \"source\": 3, \"target\": 7}, {\"weight\": 10531, \"source\": 4, \"target\": 5}, {\"weight\": 12395, \"source\": 4, \"target\": 8}, {\"weight\": 16400, \"source\": 4, \"target\": 6}, {\"weight\": 14633, \"source\": 4, \"target\": 7}, {\"weight\": 3646, \"source\": 5, \"target\": 8}, {\"weight\": 14072, \"source\": 5, \"target\": 6}, {\"weight\": 10396, \"source\": 5, \"target\": 7}, {\"weight\": 10569, \"source\": 6, \"target\": 8}, {\"weight\": 5016, \"source\": 6, \"target\": 7}, {\"weight\": 7030, \"source\": 7, \"target\": 8}]}",
"id": 55,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUK, PLJ, FUG, CEZ, ZMT, VOL, OKL, NTX, ASB\n- Travel distances (in kilometers) between each pair of airports:\nFUK to ZMT: 9255\nFUK to PLJ: 13272\nFUK to VOL: 9650\nFUK to ASB: 6383\nFUK to FUG: 1725\nFUK to OKL: 7356\nFUK to NTX: 5586\nFUK to CEZ: 10673\nPLJ to ZMT: 5654\nPLJ to VOL: 10770\nPLJ to ASB: 13044\nPLJ to FUG: 14027\nPLJ to OKL: 20385\nPLJ to NTX: 18615\nPLJ to CEZ: 3501\nFUG to ZMT: 10112\nFUG to VOL: 8651\nFUG to ASB: 5290\nFUG to OKL: 6979\nFUG to NTX: 4738\nFUG to CEZ: 11530\nCEZ to ZMT: 3052\nCEZ to VOL: 10216\nCEZ to ASB: 12020\nCEZ to OKL: 17818\nCEZ to NTX: 16051\nZMT to VOL: 10531\nZMT to ASB: 12395\nZMT to OKL: 16400\nZMT to NTX: 14633\nVOL to ASB: 3646\nVOL to OKL: 14072\nVOL to NTX: 10396\nOKL to ASB: 10569\nOKL to NTX: 5016\nNTX to ASB: 7030\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TJM, IXS, HVD, MPL, DLZ, PPP, SMS, JNX, NCL\n- Travel distances (in kilometers) between each pair of airports:\nTJM to MPL: 4461\nTJM to IXS: 5016\nTJM to JNX: 3844\nTJM to NCL: 4041\nTJM to PPP: 13404\nTJM to SMS: 9428\nTJM to HVD: 5482\nTJM to DLZ: 4862\nIXS to MPL: 8236\nIXS to JNX: 6803\nIXS to NCL: 8393\nIXS to PPP: 10026\nIXS to SMS: 7272\nIXS to HVD: 6338\nIXS to DLZ: 5718\nHVD to MPL: 8520\nHVD to JNX: 8099\nHVD to NCL: 8208\nHVD to PPP: 11669\nHVD to SMS: 12109\nHVD to DLZ: 1632\nMPL to JNX: 1947\nMPL to NCL: 1340\nMPL to PPP: 17701\nMPL to SMS: 8796\nMPL to DLZ: 7900\nDLZ to JNX: 7479\nDLZ to NCL: 7588\nDLZ to PPP: 11049\nDLZ to SMS: 11489\nPPP to JNX: 16253\nPPP to NCL: 17365\nPPP to SMS: 11352\nSMS to JNX: 7348\nSMS to NCL: 9754\nJNX to NCL: 2859\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48886,
"style": "rule"
}
|
{
"exact_answer": 48886,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TJM\", \"id\": 0}, {\"name\": \"IXS\", \"id\": 1}, {\"name\": \"HVD\", \"id\": 2}, {\"name\": \"MPL\", \"id\": 3}, {\"name\": \"DLZ\", \"id\": 4}, {\"name\": \"PPP\", \"id\": 5}, {\"name\": \"SMS\", \"id\": 6}, {\"name\": \"JNX\", \"id\": 7}, {\"name\": \"NCL\", \"id\": 8}], \"links\": [{\"weight\": 4461, \"source\": 0, \"target\": 3}, {\"weight\": 5016, \"source\": 0, \"target\": 1}, {\"weight\": 3844, \"source\": 0, \"target\": 7}, {\"weight\": 4041, \"source\": 0, \"target\": 8}, {\"weight\": 13404, \"source\": 0, \"target\": 5}, {\"weight\": 9428, \"source\": 0, \"target\": 6}, {\"weight\": 5482, \"source\": 0, \"target\": 2}, {\"weight\": 4862, \"source\": 0, \"target\": 4}, {\"weight\": 8236, \"source\": 1, \"target\": 3}, {\"weight\": 6803, \"source\": 1, \"target\": 7}, {\"weight\": 8393, \"source\": 1, \"target\": 8}, {\"weight\": 10026, \"source\": 1, \"target\": 5}, {\"weight\": 7272, \"source\": 1, \"target\": 6}, {\"weight\": 6338, \"source\": 1, \"target\": 2}, {\"weight\": 5718, \"source\": 1, \"target\": 4}, {\"weight\": 8520, \"source\": 2, \"target\": 3}, {\"weight\": 8099, \"source\": 2, \"target\": 7}, {\"weight\": 8208, \"source\": 2, \"target\": 8}, {\"weight\": 11669, \"source\": 2, \"target\": 5}, {\"weight\": 12109, \"source\": 2, \"target\": 6}, {\"weight\": 1632, \"source\": 2, \"target\": 4}, {\"weight\": 1947, \"source\": 3, \"target\": 7}, {\"weight\": 1340, \"source\": 3, \"target\": 8}, {\"weight\": 17701, \"source\": 3, \"target\": 5}, {\"weight\": 8796, \"source\": 3, \"target\": 6}, {\"weight\": 7900, \"source\": 3, \"target\": 4}, {\"weight\": 7479, \"source\": 4, \"target\": 7}, {\"weight\": 7588, \"source\": 4, \"target\": 8}, {\"weight\": 11049, \"source\": 4, \"target\": 5}, {\"weight\": 11489, \"source\": 4, \"target\": 6}, {\"weight\": 16253, \"source\": 5, \"target\": 7}, {\"weight\": 17365, \"source\": 5, \"target\": 8}, {\"weight\": 11352, \"source\": 5, \"target\": 6}, {\"weight\": 7348, \"source\": 6, \"target\": 7}, {\"weight\": 9754, \"source\": 6, \"target\": 8}, {\"weight\": 2859, \"source\": 7, \"target\": 8}]}",
"id": 56,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TJM, IXS, HVD, MPL, DLZ, PPP, SMS, JNX, NCL\n- Travel distances (in kilometers) between each pair of airports:\nTJM to MPL: 4461\nTJM to IXS: 5016\nTJM to JNX: 3844\nTJM to NCL: 4041\nTJM to PPP: 13404\nTJM to SMS: 9428\nTJM to HVD: 5482\nTJM to DLZ: 4862\nIXS to MPL: 8236\nIXS to JNX: 6803\nIXS to NCL: 8393\nIXS to PPP: 10026\nIXS to SMS: 7272\nIXS to HVD: 6338\nIXS to DLZ: 5718\nHVD to MPL: 8520\nHVD to JNX: 8099\nHVD to NCL: 8208\nHVD to PPP: 11669\nHVD to SMS: 12109\nHVD to DLZ: 1632\nMPL to JNX: 1947\nMPL to NCL: 1340\nMPL to PPP: 17701\nMPL to SMS: 8796\nMPL to DLZ: 7900\nDLZ to JNX: 7479\nDLZ to NCL: 7588\nDLZ to PPP: 11049\nDLZ to SMS: 11489\nPPP to JNX: 16253\nPPP to NCL: 17365\nPPP to SMS: 11352\nSMS to JNX: 7348\nSMS to NCL: 9754\nJNX to NCL: 2859\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DDC, SEA, QRW, XSC, VNX, DHM, MCX, LGB, HAD\n- Travel distances (in kilometers) between each pair of airports:\nDDC to HAD: 8514\nDDC to MCX: 11142\nDDC to SEA: 2113\nDDC to LGB: 1849\nDDC to DHM: 14270\nDDC to XSC: 4214\nDDC to VNX: 16759\nDDC to QRW: 11818\nSEA to LGB: 1555\nSEA to HAD: 8130\nSEA to MCX: 10758\nSEA to DHM: 12895\nSEA to XSC: 5363\nSEA to VNX: 17567\nSEA to QRW: 12626\nQRW to HAD: 6217\nQRW to MCX: 6241\nQRW to LGB: 12698\nQRW to DHM: 8388\nQRW to XSC: 10923\nQRW to VNX: 5670\nXSC to HAD: 8566\nXSC to MCX: 11007\nXSC to LGB: 4749\nXSC to DHM: 14322\nXSC to VNX: 14123\nVNX to HAD: 10716\nVNX to MCX: 8905\nVNX to LGB: 17551\nVNX to DHM: 9117\nDHM to HAD: 6434\nDHM to MCX: 3889\nDHM to LGB: 14279\nMCX to HAD: 3321\nMCX to LGB: 12031\nLGB to HAD: 9425\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48668,
"style": "rule"
}
|
{
"exact_answer": 48668,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DDC\", \"id\": 0}, {\"name\": \"SEA\", \"id\": 1}, {\"name\": \"QRW\", \"id\": 2}, {\"name\": \"XSC\", \"id\": 3}, {\"name\": \"VNX\", \"id\": 4}, {\"name\": \"DHM\", \"id\": 5}, {\"name\": \"MCX\", \"id\": 6}, {\"name\": \"LGB\", \"id\": 7}, {\"name\": \"HAD\", \"id\": 8}], \"links\": [{\"weight\": 8514, \"source\": 0, \"target\": 8}, {\"weight\": 11142, \"source\": 0, \"target\": 6}, {\"weight\": 2113, \"source\": 0, \"target\": 1}, {\"weight\": 1849, \"source\": 0, \"target\": 7}, {\"weight\": 14270, \"source\": 0, \"target\": 5}, {\"weight\": 4214, \"source\": 0, \"target\": 3}, {\"weight\": 16759, \"source\": 0, \"target\": 4}, {\"weight\": 11818, \"source\": 0, \"target\": 2}, {\"weight\": 1555, \"source\": 1, \"target\": 7}, {\"weight\": 8130, \"source\": 1, \"target\": 8}, {\"weight\": 10758, \"source\": 1, \"target\": 6}, {\"weight\": 12895, \"source\": 1, \"target\": 5}, {\"weight\": 5363, \"source\": 1, \"target\": 3}, {\"weight\": 17567, \"source\": 1, \"target\": 4}, {\"weight\": 12626, \"source\": 1, \"target\": 2}, {\"weight\": 6217, \"source\": 2, \"target\": 8}, {\"weight\": 6241, \"source\": 2, \"target\": 6}, {\"weight\": 12698, \"source\": 2, \"target\": 7}, {\"weight\": 8388, \"source\": 2, \"target\": 5}, {\"weight\": 10923, \"source\": 2, \"target\": 3}, {\"weight\": 5670, \"source\": 2, \"target\": 4}, {\"weight\": 8566, \"source\": 3, \"target\": 8}, {\"weight\": 11007, \"source\": 3, \"target\": 6}, {\"weight\": 4749, \"source\": 3, \"target\": 7}, {\"weight\": 14322, \"source\": 3, \"target\": 5}, {\"weight\": 14123, \"source\": 3, \"target\": 4}, {\"weight\": 10716, \"source\": 4, \"target\": 8}, {\"weight\": 8905, \"source\": 4, \"target\": 6}, {\"weight\": 17551, \"source\": 4, \"target\": 7}, {\"weight\": 9117, \"source\": 4, \"target\": 5}, {\"weight\": 6434, \"source\": 5, \"target\": 8}, {\"weight\": 3889, \"source\": 5, \"target\": 6}, {\"weight\": 14279, \"source\": 5, \"target\": 7}, {\"weight\": 3321, \"source\": 6, \"target\": 8}, {\"weight\": 12031, \"source\": 6, \"target\": 7}, {\"weight\": 9425, \"source\": 7, \"target\": 8}]}",
"id": 57,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DDC, SEA, QRW, XSC, VNX, DHM, MCX, LGB, HAD\n- Travel distances (in kilometers) between each pair of airports:\nDDC to HAD: 8514\nDDC to MCX: 11142\nDDC to SEA: 2113\nDDC to LGB: 1849\nDDC to DHM: 14270\nDDC to XSC: 4214\nDDC to VNX: 16759\nDDC to QRW: 11818\nSEA to LGB: 1555\nSEA to HAD: 8130\nSEA to MCX: 10758\nSEA to DHM: 12895\nSEA to XSC: 5363\nSEA to VNX: 17567\nSEA to QRW: 12626\nQRW to HAD: 6217\nQRW to MCX: 6241\nQRW to LGB: 12698\nQRW to DHM: 8388\nQRW to XSC: 10923\nQRW to VNX: 5670\nXSC to HAD: 8566\nXSC to MCX: 11007\nXSC to LGB: 4749\nXSC to DHM: 14322\nXSC to VNX: 14123\nVNX to HAD: 10716\nVNX to MCX: 8905\nVNX to LGB: 17551\nVNX to DHM: 9117\nDHM to HAD: 6434\nDHM to MCX: 3889\nDHM to LGB: 14279\nMCX to HAD: 3321\nMCX to LGB: 12031\nLGB to HAD: 9425\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GUR, ORH, UAK, ELV, HNM, IGA, KUS, BRE, WEF\n- Travel distances (in kilometers) between each pair of airports:\nGUR to BRE: 14426\nGUR to ORH: 17953\nGUR to KUS: 17772\nGUR to UAK: 17533\nGUR to WEF: 6755\nGUR to ELV: 14343\nGUR to HNM: 9054\nGUR to IGA: 17283\nORH to BRE: 9297\nORH to KUS: 9538\nORH to UAK: 9299\nORH to WEF: 14377\nORH to ELV: 7426\nORH to HNM: 9335\nORH to IGA: 2840\nUAK to BRE: 4094\nUAK to KUS: 1165\nUAK to WEF: 11054\nUAK to ELV: 9239\nUAK to HNM: 11938\nUAK to IGA: 8348\nELV to BRE: 9607\nELV to KUS: 9478\nELV to WEF: 10441\nELV to HNM: 5699\nELV to IGA: 6801\nHNM to BRE: 12306\nHNM to KUS: 12177\nHNM to WEF: 8351\nHNM to IGA: 8659\nIGA to BRE: 8225\nIGA to KUS: 8587\nIGA to WEF: 13666\nKUS to BRE: 4333\nKUS to WEF: 11293\nBRE to WEF: 8014\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53634,
"style": "rule"
}
|
{
"exact_answer": 53634,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GUR\", \"id\": 0}, {\"name\": \"ORH\", \"id\": 1}, {\"name\": \"UAK\", \"id\": 2}, {\"name\": \"ELV\", \"id\": 3}, {\"name\": \"HNM\", \"id\": 4}, {\"name\": \"IGA\", \"id\": 5}, {\"name\": \"KUS\", \"id\": 6}, {\"name\": \"BRE\", \"id\": 7}, {\"name\": \"WEF\", \"id\": 8}], \"links\": [{\"weight\": 14426, \"source\": 0, \"target\": 7}, {\"weight\": 17953, \"source\": 0, \"target\": 1}, {\"weight\": 17772, \"source\": 0, \"target\": 6}, {\"weight\": 17533, \"source\": 0, \"target\": 2}, {\"weight\": 6755, \"source\": 0, \"target\": 8}, {\"weight\": 14343, \"source\": 0, \"target\": 3}, {\"weight\": 9054, \"source\": 0, \"target\": 4}, {\"weight\": 17283, \"source\": 0, \"target\": 5}, {\"weight\": 9297, \"source\": 1, \"target\": 7}, {\"weight\": 9538, \"source\": 1, \"target\": 6}, {\"weight\": 9299, \"source\": 1, \"target\": 2}, {\"weight\": 14377, \"source\": 1, \"target\": 8}, {\"weight\": 7426, \"source\": 1, \"target\": 3}, {\"weight\": 9335, \"source\": 1, \"target\": 4}, {\"weight\": 2840, \"source\": 1, \"target\": 5}, {\"weight\": 4094, \"source\": 2, \"target\": 7}, {\"weight\": 1165, \"source\": 2, \"target\": 6}, {\"weight\": 11054, \"source\": 2, \"target\": 8}, {\"weight\": 9239, \"source\": 2, \"target\": 3}, {\"weight\": 11938, \"source\": 2, \"target\": 4}, {\"weight\": 8348, \"source\": 2, \"target\": 5}, {\"weight\": 9607, \"source\": 3, \"target\": 7}, {\"weight\": 9478, \"source\": 3, \"target\": 6}, {\"weight\": 10441, \"source\": 3, \"target\": 8}, {\"weight\": 5699, \"source\": 3, \"target\": 4}, {\"weight\": 6801, \"source\": 3, \"target\": 5}, {\"weight\": 12306, \"source\": 4, \"target\": 7}, {\"weight\": 12177, \"source\": 4, \"target\": 6}, {\"weight\": 8351, \"source\": 4, \"target\": 8}, {\"weight\": 8659, \"source\": 4, \"target\": 5}, {\"weight\": 8225, \"source\": 5, \"target\": 7}, {\"weight\": 8587, \"source\": 5, \"target\": 6}, {\"weight\": 13666, \"source\": 5, \"target\": 8}, {\"weight\": 4333, \"source\": 6, \"target\": 7}, {\"weight\": 11293, \"source\": 6, \"target\": 8}, {\"weight\": 8014, \"source\": 7, \"target\": 8}]}",
"id": 58,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GUR, ORH, UAK, ELV, HNM, IGA, KUS, BRE, WEF\n- Travel distances (in kilometers) between each pair of airports:\nGUR to BRE: 14426\nGUR to ORH: 17953\nGUR to KUS: 17772\nGUR to UAK: 17533\nGUR to WEF: 6755\nGUR to ELV: 14343\nGUR to HNM: 9054\nGUR to IGA: 17283\nORH to BRE: 9297\nORH to KUS: 9538\nORH to UAK: 9299\nORH to WEF: 14377\nORH to ELV: 7426\nORH to HNM: 9335\nORH to IGA: 2840\nUAK to BRE: 4094\nUAK to KUS: 1165\nUAK to WEF: 11054\nUAK to ELV: 9239\nUAK to HNM: 11938\nUAK to IGA: 8348\nELV to BRE: 9607\nELV to KUS: 9478\nELV to WEF: 10441\nELV to HNM: 5699\nELV to IGA: 6801\nHNM to BRE: 12306\nHNM to KUS: 12177\nHNM to WEF: 8351\nHNM to IGA: 8659\nIGA to BRE: 8225\nIGA to KUS: 8587\nIGA to WEF: 13666\nKUS to BRE: 4333\nKUS to WEF: 11293\nBRE to WEF: 8014\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLC, YHP, YMN, KVC, MOQ, YVO, KOO, BNB, TLL\n- Travel distances (in kilometers) between each pair of airports:\nOLC to YVO: 7216\nOLC to TLL: 11592\nOLC to KOO: 12489\nOLC to BNB: 11346\nOLC to KVC: 12349\nOLC to MOQ: 13630\nOLC to YMN: 7977\nOLC to YHP: 8236\nYHP to YVO: 1952\nYHP to TLL: 8119\nYHP to KOO: 14203\nYHP to BNB: 13060\nYHP to KVC: 5661\nYHP to MOQ: 16488\nYHP to YMN: 3582\nYMN to YVO: 2038\nYMN to TLL: 6588\nYMN to KOO: 13084\nYMN to BNB: 11941\nYMN to KVC: 8211\nYMN to MOQ: 14235\nKVC to YVO: 7011\nKVC to TLL: 11655\nKVC to KOO: 18878\nKVC to BNB: 17735\nKVC to MOQ: 20474\nMOQ to YVO: 14946\nMOQ to TLL: 9405\nMOQ to KOO: 6717\nMOQ to BNB: 5574\nYVO to TLL: 7196\nYVO to KOO: 12840\nYVO to BNB: 11697\nKOO to TLL: 9177\nKOO to BNB: 2655\nBNB to TLL: 8034\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58711,
"style": "rule"
}
|
{
"exact_answer": 58711,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OLC\", \"id\": 0}, {\"name\": \"YHP\", \"id\": 1}, {\"name\": \"YMN\", \"id\": 2}, {\"name\": \"KVC\", \"id\": 3}, {\"name\": \"MOQ\", \"id\": 4}, {\"name\": \"YVO\", \"id\": 5}, {\"name\": \"KOO\", \"id\": 6}, {\"name\": \"BNB\", \"id\": 7}, {\"name\": \"TLL\", \"id\": 8}], \"links\": [{\"weight\": 7216, \"source\": 0, \"target\": 5}, {\"weight\": 11592, \"source\": 0, \"target\": 8}, {\"weight\": 12489, \"source\": 0, \"target\": 6}, {\"weight\": 11346, \"source\": 0, \"target\": 7}, {\"weight\": 12349, \"source\": 0, \"target\": 3}, {\"weight\": 13630, \"source\": 0, \"target\": 4}, {\"weight\": 7977, \"source\": 0, \"target\": 2}, {\"weight\": 8236, \"source\": 0, \"target\": 1}, {\"weight\": 1952, \"source\": 1, \"target\": 5}, {\"weight\": 8119, \"source\": 1, \"target\": 8}, {\"weight\": 14203, \"source\": 1, \"target\": 6}, {\"weight\": 13060, \"source\": 1, \"target\": 7}, {\"weight\": 5661, \"source\": 1, \"target\": 3}, {\"weight\": 16488, \"source\": 1, \"target\": 4}, {\"weight\": 3582, \"source\": 1, \"target\": 2}, {\"weight\": 2038, \"source\": 2, \"target\": 5}, {\"weight\": 6588, \"source\": 2, \"target\": 8}, {\"weight\": 13084, \"source\": 2, \"target\": 6}, {\"weight\": 11941, \"source\": 2, \"target\": 7}, {\"weight\": 8211, \"source\": 2, \"target\": 3}, {\"weight\": 14235, \"source\": 2, \"target\": 4}, {\"weight\": 7011, \"source\": 3, \"target\": 5}, {\"weight\": 11655, \"source\": 3, \"target\": 8}, {\"weight\": 18878, \"source\": 3, \"target\": 6}, {\"weight\": 17735, \"source\": 3, \"target\": 7}, {\"weight\": 20474, \"source\": 3, \"target\": 4}, {\"weight\": 14946, \"source\": 4, \"target\": 5}, {\"weight\": 9405, \"source\": 4, \"target\": 8}, {\"weight\": 6717, \"source\": 4, \"target\": 6}, {\"weight\": 5574, \"source\": 4, \"target\": 7}, {\"weight\": 7196, \"source\": 5, \"target\": 8}, {\"weight\": 12840, \"source\": 5, \"target\": 6}, {\"weight\": 11697, \"source\": 5, \"target\": 7}, {\"weight\": 9177, \"source\": 6, \"target\": 8}, {\"weight\": 2655, \"source\": 6, \"target\": 7}, {\"weight\": 8034, \"source\": 7, \"target\": 8}]}",
"id": 59,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLC, YHP, YMN, KVC, MOQ, YVO, KOO, BNB, TLL\n- Travel distances (in kilometers) between each pair of airports:\nOLC to YVO: 7216\nOLC to TLL: 11592\nOLC to KOO: 12489\nOLC to BNB: 11346\nOLC to KVC: 12349\nOLC to MOQ: 13630\nOLC to YMN: 7977\nOLC to YHP: 8236\nYHP to YVO: 1952\nYHP to TLL: 8119\nYHP to KOO: 14203\nYHP to BNB: 13060\nYHP to KVC: 5661\nYHP to MOQ: 16488\nYHP to YMN: 3582\nYMN to YVO: 2038\nYMN to TLL: 6588\nYMN to KOO: 13084\nYMN to BNB: 11941\nYMN to KVC: 8211\nYMN to MOQ: 14235\nKVC to YVO: 7011\nKVC to TLL: 11655\nKVC to KOO: 18878\nKVC to BNB: 17735\nKVC to MOQ: 20474\nMOQ to YVO: 14946\nMOQ to TLL: 9405\nMOQ to KOO: 6717\nMOQ to BNB: 5574\nYVO to TLL: 7196\nYVO to KOO: 12840\nYVO to BNB: 11697\nKOO to TLL: 9177\nKOO to BNB: 2655\nBNB to TLL: 8034\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBG, SYR, HKK, TCO, YGT, BGR, AMQ, YTH, TUK\n- Travel distances (in kilometers) between each pair of airports:\nPBG to YGT: 3660\nPBG to YTH: 3163\nPBG to SYR: 746\nPBG to BGR: 1226\nPBG to TCO: 5053\nPBG to AMQ: 17558\nPBG to HKK: 15895\nPBG to TUK: 11797\nSYR to YGT: 3603\nSYR to YTH: 2451\nSYR to BGR: 926\nSYR to TCO: 4795\nSYR to AMQ: 16900\nSYR to HKK: 15156\nSYR to TUK: 11899\nHKK to YGT: 17246\nHKK to YTH: 14525\nHKK to BGR: 15763\nHKK to TCO: 15066\nHKK to AMQ: 8492\nHKK to TUK: 13727\nTCO to YGT: 7927\nTCO to YTH: 6542\nTCO to BGR: 5210\nTCO to AMQ: 21001\nTCO to TUK: 15043\nYGT to YTH: 2871\nYGT to BGR: 4059\nYGT to AMQ: 18845\nYGT to TUK: 13308\nBGR to YTH: 3341\nBGR to AMQ: 17790\nBGR to TUK: 12379\nAMQ to YTH: 16268\nAMQ to TUK: 7997\nYTH to TUK: 13903\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57367,
"style": "rule"
}
|
{
"exact_answer": 57367,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PBG\", \"id\": 0}, {\"name\": \"SYR\", \"id\": 1}, {\"name\": \"HKK\", \"id\": 2}, {\"name\": \"TCO\", \"id\": 3}, {\"name\": \"YGT\", \"id\": 4}, {\"name\": \"BGR\", \"id\": 5}, {\"name\": \"AMQ\", \"id\": 6}, {\"name\": \"YTH\", \"id\": 7}, {\"name\": \"TUK\", \"id\": 8}], \"links\": [{\"weight\": 3660, \"source\": 0, \"target\": 4}, {\"weight\": 3163, \"source\": 0, \"target\": 7}, {\"weight\": 746, \"source\": 0, \"target\": 1}, {\"weight\": 1226, \"source\": 0, \"target\": 5}, {\"weight\": 5053, \"source\": 0, \"target\": 3}, {\"weight\": 17558, \"source\": 0, \"target\": 6}, {\"weight\": 15895, \"source\": 0, \"target\": 2}, {\"weight\": 11797, \"source\": 0, \"target\": 8}, {\"weight\": 3603, \"source\": 1, \"target\": 4}, {\"weight\": 2451, \"source\": 1, \"target\": 7}, {\"weight\": 926, \"source\": 1, \"target\": 5}, {\"weight\": 4795, \"source\": 1, \"target\": 3}, {\"weight\": 16900, \"source\": 1, \"target\": 6}, {\"weight\": 15156, \"source\": 1, \"target\": 2}, {\"weight\": 11899, \"source\": 1, \"target\": 8}, {\"weight\": 17246, \"source\": 2, \"target\": 4}, {\"weight\": 14525, \"source\": 2, \"target\": 7}, {\"weight\": 15763, \"source\": 2, \"target\": 5}, {\"weight\": 15066, \"source\": 2, \"target\": 3}, {\"weight\": 8492, \"source\": 2, \"target\": 6}, {\"weight\": 13727, \"source\": 2, \"target\": 8}, {\"weight\": 7927, \"source\": 3, \"target\": 4}, {\"weight\": 6542, \"source\": 3, \"target\": 7}, {\"weight\": 5210, \"source\": 3, \"target\": 5}, {\"weight\": 21001, \"source\": 3, \"target\": 6}, {\"weight\": 15043, \"source\": 3, \"target\": 8}, {\"weight\": 2871, \"source\": 4, \"target\": 7}, {\"weight\": 4059, \"source\": 4, \"target\": 5}, {\"weight\": 18845, \"source\": 4, \"target\": 6}, {\"weight\": 13308, \"source\": 4, \"target\": 8}, {\"weight\": 3341, \"source\": 5, \"target\": 7}, {\"weight\": 17790, \"source\": 5, \"target\": 6}, {\"weight\": 12379, \"source\": 5, \"target\": 8}, {\"weight\": 16268, \"source\": 6, \"target\": 7}, {\"weight\": 7997, \"source\": 6, \"target\": 8}, {\"weight\": 13903, \"source\": 7, \"target\": 8}]}",
"id": 60,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBG, SYR, HKK, TCO, YGT, BGR, AMQ, YTH, TUK\n- Travel distances (in kilometers) between each pair of airports:\nPBG to YGT: 3660\nPBG to YTH: 3163\nPBG to SYR: 746\nPBG to BGR: 1226\nPBG to TCO: 5053\nPBG to AMQ: 17558\nPBG to HKK: 15895\nPBG to TUK: 11797\nSYR to YGT: 3603\nSYR to YTH: 2451\nSYR to BGR: 926\nSYR to TCO: 4795\nSYR to AMQ: 16900\nSYR to HKK: 15156\nSYR to TUK: 11899\nHKK to YGT: 17246\nHKK to YTH: 14525\nHKK to BGR: 15763\nHKK to TCO: 15066\nHKK to AMQ: 8492\nHKK to TUK: 13727\nTCO to YGT: 7927\nTCO to YTH: 6542\nTCO to BGR: 5210\nTCO to AMQ: 21001\nTCO to TUK: 15043\nYGT to YTH: 2871\nYGT to BGR: 4059\nYGT to AMQ: 18845\nYGT to TUK: 13308\nBGR to YTH: 3341\nBGR to AMQ: 17790\nBGR to TUK: 12379\nAMQ to YTH: 16268\nAMQ to TUK: 7997\nYTH to TUK: 13903\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZA, CKY, OPO, YAA, ODO, MXP, YGW, AHN, TIF\n- Travel distances (in kilometers) between each pair of airports:\nIZA to ODO: 16584\nIZA to CKY: 5995\nIZA to YGW: 9325\nIZA to MXP: 9265\nIZA to YAA: 11547\nIZA to OPO: 7939\nIZA to TIF: 11771\nIZA to AHN: 8276\nCKY to ODO: 11958\nCKY to YGW: 8237\nCKY to MXP: 4661\nCKY to YAA: 11141\nCKY to OPO: 3609\nCKY to TIF: 6941\nCKY to AHN: 8372\nOPO to MXP: 1484\nOPO to ODO: 8679\nOPO to YGW: 6638\nOPO to YAA: 9130\nOPO to TIF: 5111\nOPO to AHN: 6951\nYAA to ODO: 11408\nYAA to YGW: 3821\nYAA to MXP: 8894\nYAA to TIF: 12678\nYAA to AHN: 4164\nODO to YGW: 13471\nODO to MXP: 7387\nODO to TIF: 7332\nODO to AHN: 13652\nMXP to YGW: 7152\nMXP to TIF: 3941\nMXP to AHN: 8003\nYGW to TIF: 11072\nYGW to AHN: 2855\nAHN to TIF: 11940\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48721,
"style": "rule"
}
|
{
"exact_answer": 48721,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IZA\", \"id\": 0}, {\"name\": \"CKY\", \"id\": 1}, {\"name\": \"OPO\", \"id\": 2}, {\"name\": \"YAA\", \"id\": 3}, {\"name\": \"ODO\", \"id\": 4}, {\"name\": \"MXP\", \"id\": 5}, {\"name\": \"YGW\", \"id\": 6}, {\"name\": \"AHN\", \"id\": 7}, {\"name\": \"TIF\", \"id\": 8}], \"links\": [{\"weight\": 16584, \"source\": 0, \"target\": 4}, {\"weight\": 5995, \"source\": 0, \"target\": 1}, {\"weight\": 9325, \"source\": 0, \"target\": 6}, {\"weight\": 9265, \"source\": 0, \"target\": 5}, {\"weight\": 11547, \"source\": 0, \"target\": 3}, {\"weight\": 7939, \"source\": 0, \"target\": 2}, {\"weight\": 11771, \"source\": 0, \"target\": 8}, {\"weight\": 8276, \"source\": 0, \"target\": 7}, {\"weight\": 11958, \"source\": 1, \"target\": 4}, {\"weight\": 8237, \"source\": 1, \"target\": 6}, {\"weight\": 4661, \"source\": 1, \"target\": 5}, {\"weight\": 11141, \"source\": 1, \"target\": 3}, {\"weight\": 3609, \"source\": 1, \"target\": 2}, {\"weight\": 6941, \"source\": 1, \"target\": 8}, {\"weight\": 8372, \"source\": 1, \"target\": 7}, {\"weight\": 1484, \"source\": 2, \"target\": 5}, {\"weight\": 8679, \"source\": 2, \"target\": 4}, {\"weight\": 6638, \"source\": 2, \"target\": 6}, {\"weight\": 9130, \"source\": 2, \"target\": 3}, {\"weight\": 5111, \"source\": 2, \"target\": 8}, {\"weight\": 6951, \"source\": 2, \"target\": 7}, {\"weight\": 11408, \"source\": 3, \"target\": 4}, {\"weight\": 3821, \"source\": 3, \"target\": 6}, {\"weight\": 8894, \"source\": 3, \"target\": 5}, {\"weight\": 12678, \"source\": 3, \"target\": 8}, {\"weight\": 4164, \"source\": 3, \"target\": 7}, {\"weight\": 13471, \"source\": 4, \"target\": 6}, {\"weight\": 7387, \"source\": 4, \"target\": 5}, {\"weight\": 7332, \"source\": 4, \"target\": 8}, {\"weight\": 13652, \"source\": 4, \"target\": 7}, {\"weight\": 7152, \"source\": 5, \"target\": 6}, {\"weight\": 3941, \"source\": 5, \"target\": 8}, {\"weight\": 8003, \"source\": 5, \"target\": 7}, {\"weight\": 11072, \"source\": 6, \"target\": 8}, {\"weight\": 2855, \"source\": 6, \"target\": 7}, {\"weight\": 11940, \"source\": 7, \"target\": 8}]}",
"id": 61,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZA, CKY, OPO, YAA, ODO, MXP, YGW, AHN, TIF\n- Travel distances (in kilometers) between each pair of airports:\nIZA to ODO: 16584\nIZA to CKY: 5995\nIZA to YGW: 9325\nIZA to MXP: 9265\nIZA to YAA: 11547\nIZA to OPO: 7939\nIZA to TIF: 11771\nIZA to AHN: 8276\nCKY to ODO: 11958\nCKY to YGW: 8237\nCKY to MXP: 4661\nCKY to YAA: 11141\nCKY to OPO: 3609\nCKY to TIF: 6941\nCKY to AHN: 8372\nOPO to MXP: 1484\nOPO to ODO: 8679\nOPO to YGW: 6638\nOPO to YAA: 9130\nOPO to TIF: 5111\nOPO to AHN: 6951\nYAA to ODO: 11408\nYAA to YGW: 3821\nYAA to MXP: 8894\nYAA to TIF: 12678\nYAA to AHN: 4164\nODO to YGW: 13471\nODO to MXP: 7387\nODO to TIF: 7332\nODO to AHN: 13652\nMXP to YGW: 7152\nMXP to TIF: 3941\nMXP to AHN: 8003\nYGW to TIF: 11072\nYGW to AHN: 2855\nAHN to TIF: 11940\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, JHS, ARC, SLZ, SEA, YHU, ITH, BWA, SJP\n- Travel distances (in kilometers) between each pair of airports:\nLRS to SJP: 10718\nLRS to ARC: 13161\nLRS to SEA: 10277\nLRS to ITH: 8496\nLRS to SLZ: 9102\nLRS to JHS: 5963\nLRS to YHU: 7875\nLRS to BWA: 6264\nJHS to SJP: 12870\nJHS to ARC: 10416\nJHS to SEA: 7532\nJHS to ITH: 6173\nJHS to SLZ: 11263\nJHS to YHU: 6445\nJHS to BWA: 10394\nARC to SJP: 13641\nARC to SEA: 2884\nARC to ITH: 6297\nARC to SLZ: 12153\nARC to YHU: 6849\nARC to BWA: 14949\nSLZ to SJP: 2102\nSLZ to SEA: 9417\nSLZ to ITH: 6189\nSLZ to YHU: 6820\nSLZ to BWA: 14706\nSEA to SJP: 10757\nSEA to ITH: 3657\nSEA to YHU: 4172\nSEA to BWA: 12065\nYHU to SJP: 8512\nYHU to ITH: 1199\nYHU to BWA: 13074\nITH to SJP: 7881\nITH to BWA: 13045\nBWA to SJP: 15739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54131,
"style": "rule"
}
|
{
"exact_answer": 54131,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LRS\", \"id\": 0}, {\"name\": \"JHS\", \"id\": 1}, {\"name\": \"ARC\", \"id\": 2}, {\"name\": \"SLZ\", \"id\": 3}, {\"name\": \"SEA\", \"id\": 4}, {\"name\": \"YHU\", \"id\": 5}, {\"name\": \"ITH\", \"id\": 6}, {\"name\": \"BWA\", \"id\": 7}, {\"name\": \"SJP\", \"id\": 8}], \"links\": [{\"weight\": 10718, \"source\": 0, \"target\": 8}, {\"weight\": 13161, \"source\": 0, \"target\": 2}, {\"weight\": 10277, \"source\": 0, \"target\": 4}, {\"weight\": 8496, \"source\": 0, \"target\": 6}, {\"weight\": 9102, \"source\": 0, \"target\": 3}, {\"weight\": 5963, \"source\": 0, \"target\": 1}, {\"weight\": 7875, \"source\": 0, \"target\": 5}, {\"weight\": 6264, \"source\": 0, \"target\": 7}, {\"weight\": 12870, \"source\": 1, \"target\": 8}, {\"weight\": 10416, \"source\": 1, \"target\": 2}, {\"weight\": 7532, \"source\": 1, \"target\": 4}, {\"weight\": 6173, \"source\": 1, \"target\": 6}, {\"weight\": 11263, \"source\": 1, \"target\": 3}, {\"weight\": 6445, \"source\": 1, \"target\": 5}, {\"weight\": 10394, \"source\": 1, \"target\": 7}, {\"weight\": 13641, \"source\": 2, \"target\": 8}, {\"weight\": 2884, \"source\": 2, \"target\": 4}, {\"weight\": 6297, \"source\": 2, \"target\": 6}, {\"weight\": 12153, \"source\": 2, \"target\": 3}, {\"weight\": 6849, \"source\": 2, \"target\": 5}, {\"weight\": 14949, \"source\": 2, \"target\": 7}, {\"weight\": 2102, \"source\": 3, \"target\": 8}, {\"weight\": 9417, \"source\": 3, \"target\": 4}, {\"weight\": 6189, \"source\": 3, \"target\": 6}, {\"weight\": 6820, \"source\": 3, \"target\": 5}, {\"weight\": 14706, \"source\": 3, \"target\": 7}, {\"weight\": 10757, \"source\": 4, \"target\": 8}, {\"weight\": 3657, \"source\": 4, \"target\": 6}, {\"weight\": 4172, \"source\": 4, \"target\": 5}, {\"weight\": 12065, \"source\": 4, \"target\": 7}, {\"weight\": 8512, \"source\": 5, \"target\": 8}, {\"weight\": 1199, \"source\": 5, \"target\": 6}, {\"weight\": 13074, \"source\": 5, \"target\": 7}, {\"weight\": 7881, \"source\": 6, \"target\": 8}, {\"weight\": 13045, \"source\": 6, \"target\": 7}, {\"weight\": 15739, \"source\": 7, \"target\": 8}]}",
"id": 62,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, JHS, ARC, SLZ, SEA, YHU, ITH, BWA, SJP\n- Travel distances (in kilometers) between each pair of airports:\nLRS to SJP: 10718\nLRS to ARC: 13161\nLRS to SEA: 10277\nLRS to ITH: 8496\nLRS to SLZ: 9102\nLRS to JHS: 5963\nLRS to YHU: 7875\nLRS to BWA: 6264\nJHS to SJP: 12870\nJHS to ARC: 10416\nJHS to SEA: 7532\nJHS to ITH: 6173\nJHS to SLZ: 11263\nJHS to YHU: 6445\nJHS to BWA: 10394\nARC to SJP: 13641\nARC to SEA: 2884\nARC to ITH: 6297\nARC to SLZ: 12153\nARC to YHU: 6849\nARC to BWA: 14949\nSLZ to SJP: 2102\nSLZ to SEA: 9417\nSLZ to ITH: 6189\nSLZ to YHU: 6820\nSLZ to BWA: 14706\nSEA to SJP: 10757\nSEA to ITH: 3657\nSEA to YHU: 4172\nSEA to BWA: 12065\nYHU to SJP: 8512\nYHU to ITH: 1199\nYHU to BWA: 13074\nITH to SJP: 7881\nITH to BWA: 13045\nBWA to SJP: 15739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JFR, PNP, MYU, KCA, KPO, MEI, SAV, SDL, BVE\n- Travel distances (in kilometers) between each pair of airports:\nJFR to MEI: 7444\nJFR to MYU: 10684\nJFR to BVE: 4293\nJFR to SAV: 6980\nJFR to PNP: 17119\nJFR to KCA: 9148\nJFR to SDL: 4126\nJFR to KPO: 11633\nPNP to MEI: 15972\nPNP to MYU: 13992\nPNP to BVE: 15221\nPNP to SAV: 15887\nPNP to KCA: 9050\nPNP to SDL: 13729\nPNP to KPO: 6692\nMYU to MEI: 6813\nMYU to BVE: 11649\nMYU to SAV: 6697\nMYU to KCA: 14757\nMYU to SDL: 11482\nMYU to KPO: 12390\nKCA to MEI: 13252\nKCA to BVE: 7050\nKCA to SAV: 12800\nKCA to SDL: 5706\nKCA to KPO: 4086\nKPO to MEI: 12738\nKPO to BVE: 9851\nKPO to SAV: 12587\nKPO to SDL: 8229\nMEI to BVE: 7885\nMEI to SAV: 772\nMEI to SDL: 8242\nSAV to BVE: 7391\nSAV to SDL: 7766\nSDL to BVE: 2278\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51612,
"style": "rule"
}
|
{
"exact_answer": 51612,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JFR\", \"id\": 0}, {\"name\": \"PNP\", \"id\": 1}, {\"name\": \"MYU\", \"id\": 2}, {\"name\": \"KCA\", \"id\": 3}, {\"name\": \"KPO\", \"id\": 4}, {\"name\": \"MEI\", \"id\": 5}, {\"name\": \"SAV\", \"id\": 6}, {\"name\": \"SDL\", \"id\": 7}, {\"name\": \"BVE\", \"id\": 8}], \"links\": [{\"weight\": 7444, \"source\": 0, \"target\": 5}, {\"weight\": 10684, \"source\": 0, \"target\": 2}, {\"weight\": 4293, \"source\": 0, \"target\": 8}, {\"weight\": 6980, \"source\": 0, \"target\": 6}, {\"weight\": 17119, \"source\": 0, \"target\": 1}, {\"weight\": 9148, \"source\": 0, \"target\": 3}, {\"weight\": 4126, \"source\": 0, \"target\": 7}, {\"weight\": 11633, \"source\": 0, \"target\": 4}, {\"weight\": 15972, \"source\": 1, \"target\": 5}, {\"weight\": 13992, \"source\": 1, \"target\": 2}, {\"weight\": 15221, \"source\": 1, \"target\": 8}, {\"weight\": 15887, \"source\": 1, \"target\": 6}, {\"weight\": 9050, \"source\": 1, \"target\": 3}, {\"weight\": 13729, \"source\": 1, \"target\": 7}, {\"weight\": 6692, \"source\": 1, \"target\": 4}, {\"weight\": 6813, \"source\": 2, \"target\": 5}, {\"weight\": 11649, \"source\": 2, \"target\": 8}, {\"weight\": 6697, \"source\": 2, \"target\": 6}, {\"weight\": 14757, \"source\": 2, \"target\": 3}, {\"weight\": 11482, \"source\": 2, \"target\": 7}, {\"weight\": 12390, \"source\": 2, \"target\": 4}, {\"weight\": 13252, \"source\": 3, \"target\": 5}, {\"weight\": 7050, \"source\": 3, \"target\": 8}, {\"weight\": 12800, \"source\": 3, \"target\": 6}, {\"weight\": 5706, \"source\": 3, \"target\": 7}, {\"weight\": 4086, \"source\": 3, \"target\": 4}, {\"weight\": 12738, \"source\": 4, \"target\": 5}, {\"weight\": 9851, \"source\": 4, \"target\": 8}, {\"weight\": 12587, \"source\": 4, \"target\": 6}, {\"weight\": 8229, \"source\": 4, \"target\": 7}, {\"weight\": 7885, \"source\": 5, \"target\": 8}, {\"weight\": 772, \"source\": 5, \"target\": 6}, {\"weight\": 8242, \"source\": 5, \"target\": 7}, {\"weight\": 7391, \"source\": 6, \"target\": 8}, {\"weight\": 7766, \"source\": 6, \"target\": 7}, {\"weight\": 2278, \"source\": 7, \"target\": 8}]}",
"id": 63,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JFR, PNP, MYU, KCA, KPO, MEI, SAV, SDL, BVE\n- Travel distances (in kilometers) between each pair of airports:\nJFR to MEI: 7444\nJFR to MYU: 10684\nJFR to BVE: 4293\nJFR to SAV: 6980\nJFR to PNP: 17119\nJFR to KCA: 9148\nJFR to SDL: 4126\nJFR to KPO: 11633\nPNP to MEI: 15972\nPNP to MYU: 13992\nPNP to BVE: 15221\nPNP to SAV: 15887\nPNP to KCA: 9050\nPNP to SDL: 13729\nPNP to KPO: 6692\nMYU to MEI: 6813\nMYU to BVE: 11649\nMYU to SAV: 6697\nMYU to KCA: 14757\nMYU to SDL: 11482\nMYU to KPO: 12390\nKCA to MEI: 13252\nKCA to BVE: 7050\nKCA to SAV: 12800\nKCA to SDL: 5706\nKCA to KPO: 4086\nKPO to MEI: 12738\nKPO to BVE: 9851\nKPO to SAV: 12587\nKPO to SDL: 8229\nMEI to BVE: 7885\nMEI to SAV: 772\nMEI to SDL: 8242\nSAV to BVE: 7391\nSAV to SDL: 7766\nSDL to BVE: 2278\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OZC, KCA, MOD, BYN, AOS, NAJ, WSN, FUN, YQC\n- Travel distances (in kilometers) between each pair of airports:\nOZC to AOS: 13986\nOZC to YQC: 15214\nOZC to KCA: 5761\nOZC to FUN: 8188\nOZC to WSN: 13977\nOZC to BYN: 5304\nOZC to NAJ: 8774\nOZC to MOD: 11867\nKCA to AOS: 14364\nKCA to YQC: 12589\nKCA to FUN: 13082\nKCA to WSN: 14355\nKCA to BYN: 4531\nKCA to NAJ: 4021\nKCA to MOD: 12488\nMOD to AOS: 3978\nMOD to YQC: 5459\nMOD to FUN: 10269\nMOD to WSN: 3969\nMOD to BYN: 11281\nMOD to NAJ: 12228\nBYN to AOS: 13157\nBYN to YQC: 13553\nBYN to FUN: 11779\nBYN to WSN: 13148\nBYN to NAJ: 5640\nAOS to YQC: 7295\nAOS to FUN: 11253\nAOS to WSN: 973\nAOS to NAJ: 13938\nNAJ to YQC: 9848\nNAJ to FUN: 16218\nNAJ to WSN: 13929\nWSN to YQC: 7286\nWSN to FUN: 11244\nFUN to YQC: 15067\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53546,
"style": "rule"
}
|
{
"exact_answer": 53546,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OZC\", \"id\": 0}, {\"name\": \"KCA\", \"id\": 1}, {\"name\": \"MOD\", \"id\": 2}, {\"name\": \"BYN\", \"id\": 3}, {\"name\": \"AOS\", \"id\": 4}, {\"name\": \"NAJ\", \"id\": 5}, {\"name\": \"WSN\", \"id\": 6}, {\"name\": \"FUN\", \"id\": 7}, {\"name\": \"YQC\", \"id\": 8}], \"links\": [{\"weight\": 13986, \"source\": 0, \"target\": 4}, {\"weight\": 15214, \"source\": 0, \"target\": 8}, {\"weight\": 5761, \"source\": 0, \"target\": 1}, {\"weight\": 8188, \"source\": 0, \"target\": 7}, {\"weight\": 13977, \"source\": 0, \"target\": 6}, {\"weight\": 5304, \"source\": 0, \"target\": 3}, {\"weight\": 8774, \"source\": 0, \"target\": 5}, {\"weight\": 11867, \"source\": 0, \"target\": 2}, {\"weight\": 14364, \"source\": 1, \"target\": 4}, {\"weight\": 12589, \"source\": 1, \"target\": 8}, {\"weight\": 13082, \"source\": 1, \"target\": 7}, {\"weight\": 14355, \"source\": 1, \"target\": 6}, {\"weight\": 4531, \"source\": 1, \"target\": 3}, {\"weight\": 4021, \"source\": 1, \"target\": 5}, {\"weight\": 12488, \"source\": 1, \"target\": 2}, {\"weight\": 3978, \"source\": 2, \"target\": 4}, {\"weight\": 5459, \"source\": 2, \"target\": 8}, {\"weight\": 10269, \"source\": 2, \"target\": 7}, {\"weight\": 3969, \"source\": 2, \"target\": 6}, {\"weight\": 11281, \"source\": 2, \"target\": 3}, {\"weight\": 12228, \"source\": 2, \"target\": 5}, {\"weight\": 13157, \"source\": 3, \"target\": 4}, {\"weight\": 13553, \"source\": 3, \"target\": 8}, {\"weight\": 11779, \"source\": 3, \"target\": 7}, {\"weight\": 13148, \"source\": 3, \"target\": 6}, {\"weight\": 5640, \"source\": 3, \"target\": 5}, {\"weight\": 7295, \"source\": 4, \"target\": 8}, {\"weight\": 11253, \"source\": 4, \"target\": 7}, {\"weight\": 973, \"source\": 4, \"target\": 6}, {\"weight\": 13938, \"source\": 4, \"target\": 5}, {\"weight\": 9848, \"source\": 5, \"target\": 8}, {\"weight\": 16218, \"source\": 5, \"target\": 7}, {\"weight\": 13929, \"source\": 5, \"target\": 6}, {\"weight\": 7286, \"source\": 6, \"target\": 8}, {\"weight\": 11244, \"source\": 6, \"target\": 7}, {\"weight\": 15067, \"source\": 7, \"target\": 8}]}",
"id": 64,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OZC, KCA, MOD, BYN, AOS, NAJ, WSN, FUN, YQC\n- Travel distances (in kilometers) between each pair of airports:\nOZC to AOS: 13986\nOZC to YQC: 15214\nOZC to KCA: 5761\nOZC to FUN: 8188\nOZC to WSN: 13977\nOZC to BYN: 5304\nOZC to NAJ: 8774\nOZC to MOD: 11867\nKCA to AOS: 14364\nKCA to YQC: 12589\nKCA to FUN: 13082\nKCA to WSN: 14355\nKCA to BYN: 4531\nKCA to NAJ: 4021\nKCA to MOD: 12488\nMOD to AOS: 3978\nMOD to YQC: 5459\nMOD to FUN: 10269\nMOD to WSN: 3969\nMOD to BYN: 11281\nMOD to NAJ: 12228\nBYN to AOS: 13157\nBYN to YQC: 13553\nBYN to FUN: 11779\nBYN to WSN: 13148\nBYN to NAJ: 5640\nAOS to YQC: 7295\nAOS to FUN: 11253\nAOS to WSN: 973\nAOS to NAJ: 13938\nNAJ to YQC: 9848\nNAJ to FUN: 16218\nNAJ to WSN: 13929\nWSN to YQC: 7286\nWSN to FUN: 11244\nFUN to YQC: 15067\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HIB, IMP, CDV, PDA, GYA, MMO, YWG, TMI\n- Travel distances (in kilometers) between each pair of airports:\nRKD to YWG: 2428\nRKD to CDV: 6344\nRKD to PDA: 5205\nRKD to GYA: 7799\nRKD to IMP: 6228\nRKD to HIB: 2326\nRKD to MMO: 5730\nRKD to TMI: 12783\nHIB to YWG: 915\nHIB to CDV: 4578\nHIB to PDA: 5824\nHIB to GYA: 8418\nHIB to IMP: 7544\nHIB to MMO: 7570\nHIB to TMI: 13836\nIMP to YWG: 7865\nIMP to CDV: 11520\nIMP to PDA: 4682\nIMP to GYA: 4925\nIMP to MMO: 3827\nIMP to TMI: 15183\nCDV to YWG: 4035\nCDV to PDA: 9414\nCDV to GYA: 12008\nCDV to MMO: 11588\nCDV to TMI: 14177\nPDA to YWG: 6179\nPDA to GYA: 3988\nPDA to MMO: 8041\nPDA to TMI: 16901\nGYA to YWG: 8773\nGYA to MMO: 7964\nGYA to TMI: 18197\nMMO to YWG: 7672\nMMO to TMI: 11430\nYWG to TMI: 13734\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50828,
"style": "rule"
}
|
{
"exact_answer": 50828,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RKD\", \"id\": 0}, {\"name\": \"HIB\", \"id\": 1}, {\"name\": \"IMP\", \"id\": 2}, {\"name\": \"CDV\", \"id\": 3}, {\"name\": \"PDA\", \"id\": 4}, {\"name\": \"GYA\", \"id\": 5}, {\"name\": \"MMO\", \"id\": 6}, {\"name\": \"YWG\", \"id\": 7}, {\"name\": \"TMI\", \"id\": 8}], \"links\": [{\"weight\": 2428, \"source\": 0, \"target\": 7}, {\"weight\": 6344, \"source\": 0, \"target\": 3}, {\"weight\": 5205, \"source\": 0, \"target\": 4}, {\"weight\": 7799, \"source\": 0, \"target\": 5}, {\"weight\": 6228, \"source\": 0, \"target\": 2}, {\"weight\": 2326, \"source\": 0, \"target\": 1}, {\"weight\": 5730, \"source\": 0, \"target\": 6}, {\"weight\": 12783, \"source\": 0, \"target\": 8}, {\"weight\": 915, \"source\": 1, \"target\": 7}, {\"weight\": 4578, \"source\": 1, \"target\": 3}, {\"weight\": 5824, \"source\": 1, \"target\": 4}, {\"weight\": 8418, \"source\": 1, \"target\": 5}, {\"weight\": 7544, \"source\": 1, \"target\": 2}, {\"weight\": 7570, \"source\": 1, \"target\": 6}, {\"weight\": 13836, \"source\": 1, \"target\": 8}, {\"weight\": 7865, \"source\": 2, \"target\": 7}, {\"weight\": 11520, \"source\": 2, \"target\": 3}, {\"weight\": 4682, \"source\": 2, \"target\": 4}, {\"weight\": 4925, \"source\": 2, \"target\": 5}, {\"weight\": 3827, \"source\": 2, \"target\": 6}, {\"weight\": 15183, \"source\": 2, \"target\": 8}, {\"weight\": 4035, \"source\": 3, \"target\": 7}, {\"weight\": 9414, \"source\": 3, \"target\": 4}, {\"weight\": 12008, \"source\": 3, \"target\": 5}, {\"weight\": 11588, \"source\": 3, \"target\": 6}, {\"weight\": 14177, \"source\": 3, \"target\": 8}, {\"weight\": 6179, \"source\": 4, \"target\": 7}, {\"weight\": 3988, \"source\": 4, \"target\": 5}, {\"weight\": 8041, \"source\": 4, \"target\": 6}, {\"weight\": 16901, \"source\": 4, \"target\": 8}, {\"weight\": 8773, \"source\": 5, \"target\": 7}, {\"weight\": 7964, \"source\": 5, \"target\": 6}, {\"weight\": 18197, \"source\": 5, \"target\": 8}, {\"weight\": 7672, \"source\": 6, \"target\": 7}, {\"weight\": 11430, \"source\": 6, \"target\": 8}, {\"weight\": 13734, \"source\": 7, \"target\": 8}]}",
"id": 65,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HIB, IMP, CDV, PDA, GYA, MMO, YWG, TMI\n- Travel distances (in kilometers) between each pair of airports:\nRKD to YWG: 2428\nRKD to CDV: 6344\nRKD to PDA: 5205\nRKD to GYA: 7799\nRKD to IMP: 6228\nRKD to HIB: 2326\nRKD to MMO: 5730\nRKD to TMI: 12783\nHIB to YWG: 915\nHIB to CDV: 4578\nHIB to PDA: 5824\nHIB to GYA: 8418\nHIB to IMP: 7544\nHIB to MMO: 7570\nHIB to TMI: 13836\nIMP to YWG: 7865\nIMP to CDV: 11520\nIMP to PDA: 4682\nIMP to GYA: 4925\nIMP to MMO: 3827\nIMP to TMI: 15183\nCDV to YWG: 4035\nCDV to PDA: 9414\nCDV to GYA: 12008\nCDV to MMO: 11588\nCDV to TMI: 14177\nPDA to YWG: 6179\nPDA to GYA: 3988\nPDA to MMO: 8041\nPDA to TMI: 16901\nGYA to YWG: 8773\nGYA to MMO: 7964\nGYA to TMI: 18197\nMMO to YWG: 7672\nMMO to TMI: 11430\nYWG to TMI: 13734\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAB, XIC, LIT, MXH, LNK, TJA, YQT, TIU, YNB\n- Travel distances (in kilometers) between each pair of airports:\nYAB to XIC: 15741\nYAB to TJA: 10947\nYAB to LIT: 5156\nYAB to YQT: 3959\nYAB to MXH: 18370\nYAB to LNK: 5029\nYAB to YNB: 11883\nYAB to TIU: 17639\nXIC to TJA: 18933\nXIC to LIT: 13342\nXIC to YQT: 12846\nXIC to MXH: 7125\nXIC to LNK: 12851\nXIC to YNB: 6811\nXIC to TIU: 11410\nLIT to TJA: 7124\nLIT to YQT: 2387\nLIT to MXH: 15254\nLIT to LNK: 1637\nLIT to YNB: 11637\nLIT to TIU: 13825\nMXH to TJA: 17184\nMXH to YQT: 15369\nMXH to LNK: 14900\nMXH to YNB: 13041\nMXH to TIU: 5596\nLNK to TJA: 8226\nLNK to YQT: 1767\nLNK to YNB: 11437\nLNK to TIU: 13471\nTJA to YQT: 8394\nTJA to YNB: 13165\nTJA to TIU: 13165\nYQT to YNB: 11074\nYQT to TIU: 14494\nTIU to YNB: 16358\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59067,
"style": "rule"
}
|
{
"exact_answer": 59067,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAB\", \"id\": 0}, {\"name\": \"XIC\", \"id\": 1}, {\"name\": \"LIT\", \"id\": 2}, {\"name\": \"MXH\", \"id\": 3}, {\"name\": \"LNK\", \"id\": 4}, {\"name\": \"TJA\", \"id\": 5}, {\"name\": \"YQT\", \"id\": 6}, {\"name\": \"TIU\", \"id\": 7}, {\"name\": \"YNB\", \"id\": 8}], \"links\": [{\"weight\": 15741, \"source\": 0, \"target\": 1}, {\"weight\": 10947, \"source\": 0, \"target\": 5}, {\"weight\": 5156, \"source\": 0, \"target\": 2}, {\"weight\": 3959, \"source\": 0, \"target\": 6}, {\"weight\": 18370, \"source\": 0, \"target\": 3}, {\"weight\": 5029, \"source\": 0, \"target\": 4}, {\"weight\": 11883, \"source\": 0, \"target\": 8}, {\"weight\": 17639, \"source\": 0, \"target\": 7}, {\"weight\": 18933, \"source\": 1, \"target\": 5}, {\"weight\": 13342, \"source\": 1, \"target\": 2}, {\"weight\": 12846, \"source\": 1, \"target\": 6}, {\"weight\": 7125, \"source\": 1, \"target\": 3}, {\"weight\": 12851, \"source\": 1, \"target\": 4}, {\"weight\": 6811, \"source\": 1, \"target\": 8}, {\"weight\": 11410, \"source\": 1, \"target\": 7}, {\"weight\": 7124, \"source\": 2, \"target\": 5}, {\"weight\": 2387, \"source\": 2, \"target\": 6}, {\"weight\": 15254, \"source\": 2, \"target\": 3}, {\"weight\": 1637, \"source\": 2, \"target\": 4}, {\"weight\": 11637, \"source\": 2, \"target\": 8}, {\"weight\": 13825, \"source\": 2, \"target\": 7}, {\"weight\": 17184, \"source\": 3, \"target\": 5}, {\"weight\": 15369, \"source\": 3, \"target\": 6}, {\"weight\": 14900, \"source\": 3, \"target\": 4}, {\"weight\": 13041, \"source\": 3, \"target\": 8}, {\"weight\": 5596, \"source\": 3, \"target\": 7}, {\"weight\": 8226, \"source\": 4, \"target\": 5}, {\"weight\": 1767, \"source\": 4, \"target\": 6}, {\"weight\": 11437, \"source\": 4, \"target\": 8}, {\"weight\": 13471, \"source\": 4, \"target\": 7}, {\"weight\": 8394, \"source\": 5, \"target\": 6}, {\"weight\": 13165, \"source\": 5, \"target\": 8}, {\"weight\": 13165, \"source\": 5, \"target\": 7}, {\"weight\": 11074, \"source\": 6, \"target\": 8}, {\"weight\": 14494, \"source\": 6, \"target\": 7}, {\"weight\": 16358, \"source\": 7, \"target\": 8}]}",
"id": 66,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAB, XIC, LIT, MXH, LNK, TJA, YQT, TIU, YNB\n- Travel distances (in kilometers) between each pair of airports:\nYAB to XIC: 15741\nYAB to TJA: 10947\nYAB to LIT: 5156\nYAB to YQT: 3959\nYAB to MXH: 18370\nYAB to LNK: 5029\nYAB to YNB: 11883\nYAB to TIU: 17639\nXIC to TJA: 18933\nXIC to LIT: 13342\nXIC to YQT: 12846\nXIC to MXH: 7125\nXIC to LNK: 12851\nXIC to YNB: 6811\nXIC to TIU: 11410\nLIT to TJA: 7124\nLIT to YQT: 2387\nLIT to MXH: 15254\nLIT to LNK: 1637\nLIT to YNB: 11637\nLIT to TIU: 13825\nMXH to TJA: 17184\nMXH to YQT: 15369\nMXH to LNK: 14900\nMXH to YNB: 13041\nMXH to TIU: 5596\nLNK to TJA: 8226\nLNK to YQT: 1767\nLNK to YNB: 11437\nLNK to TIU: 13471\nTJA to YQT: 8394\nTJA to YNB: 13165\nTJA to TIU: 13165\nYQT to YNB: 11074\nYQT to TIU: 14494\nTIU to YNB: 16358\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGC, MIS, COS, LTO, EXT, TRS, ACX, LJG, BSD\n- Travel distances (in kilometers) between each pair of airports:\nTGC to LJG: 3671\nTGC to COS: 14426\nTGC to EXT: 11901\nTGC to LTO: 14860\nTGC to TRS: 11063\nTGC to MIS: 5726\nTGC to ACX: 3726\nTGC to BSD: 3822\nMIS to LJG: 7158\nMIS to COS: 14250\nMIS to EXT: 15559\nMIS to LTO: 14026\nMIS to TRS: 15021\nMIS to ACX: 6692\nMIS to BSD: 7226\nCOS to LJG: 12513\nCOS to EXT: 7713\nCOS to LTO: 2454\nCOS to TRS: 8812\nCOS to ACX: 12396\nCOS to BSD: 12869\nLTO to LJG: 13271\nLTO to EXT: 9962\nLTO to TRS: 11038\nLTO to ACX: 13154\nLTO to BSD: 13627\nEXT to LJG: 9097\nEXT to TRS: 1439\nEXT to ACX: 9305\nEXT to BSD: 9526\nTRS to LJG: 8598\nTRS to ACX: 8805\nTRS to BSD: 9011\nACX to LJG: 898\nACX to BSD: 1048\nLJG to BSD: 674\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45404,
"style": "rule"
}
|
{
"exact_answer": 45404,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGC\", \"id\": 0}, {\"name\": \"MIS\", \"id\": 1}, {\"name\": \"COS\", \"id\": 2}, {\"name\": \"LTO\", \"id\": 3}, {\"name\": \"EXT\", \"id\": 4}, {\"name\": \"TRS\", \"id\": 5}, {\"name\": \"ACX\", \"id\": 6}, {\"name\": \"LJG\", \"id\": 7}, {\"name\": \"BSD\", \"id\": 8}], \"links\": [{\"weight\": 3671, \"source\": 0, \"target\": 7}, {\"weight\": 14426, \"source\": 0, \"target\": 2}, {\"weight\": 11901, \"source\": 0, \"target\": 4}, {\"weight\": 14860, \"source\": 0, \"target\": 3}, {\"weight\": 11063, \"source\": 0, \"target\": 5}, {\"weight\": 5726, \"source\": 0, \"target\": 1}, {\"weight\": 3726, \"source\": 0, \"target\": 6}, {\"weight\": 3822, \"source\": 0, \"target\": 8}, {\"weight\": 7158, \"source\": 1, \"target\": 7}, {\"weight\": 14250, \"source\": 1, \"target\": 2}, {\"weight\": 15559, \"source\": 1, \"target\": 4}, {\"weight\": 14026, \"source\": 1, \"target\": 3}, {\"weight\": 15021, \"source\": 1, \"target\": 5}, {\"weight\": 6692, \"source\": 1, \"target\": 6}, {\"weight\": 7226, \"source\": 1, \"target\": 8}, {\"weight\": 12513, \"source\": 2, \"target\": 7}, {\"weight\": 7713, \"source\": 2, \"target\": 4}, {\"weight\": 2454, \"source\": 2, \"target\": 3}, {\"weight\": 8812, \"source\": 2, \"target\": 5}, {\"weight\": 12396, \"source\": 2, \"target\": 6}, {\"weight\": 12869, \"source\": 2, \"target\": 8}, {\"weight\": 13271, \"source\": 3, \"target\": 7}, {\"weight\": 9962, \"source\": 3, \"target\": 4}, {\"weight\": 11038, \"source\": 3, \"target\": 5}, {\"weight\": 13154, \"source\": 3, \"target\": 6}, {\"weight\": 13627, \"source\": 3, \"target\": 8}, {\"weight\": 9097, \"source\": 4, \"target\": 7}, {\"weight\": 1439, \"source\": 4, \"target\": 5}, {\"weight\": 9305, \"source\": 4, \"target\": 6}, {\"weight\": 9526, \"source\": 4, \"target\": 8}, {\"weight\": 8598, \"source\": 5, \"target\": 7}, {\"weight\": 8805, \"source\": 5, \"target\": 6}, {\"weight\": 9011, \"source\": 5, \"target\": 8}, {\"weight\": 898, \"source\": 6, \"target\": 7}, {\"weight\": 1048, \"source\": 6, \"target\": 8}, {\"weight\": 674, \"source\": 7, \"target\": 8}]}",
"id": 67,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGC, MIS, COS, LTO, EXT, TRS, ACX, LJG, BSD\n- Travel distances (in kilometers) between each pair of airports:\nTGC to LJG: 3671\nTGC to COS: 14426\nTGC to EXT: 11901\nTGC to LTO: 14860\nTGC to TRS: 11063\nTGC to MIS: 5726\nTGC to ACX: 3726\nTGC to BSD: 3822\nMIS to LJG: 7158\nMIS to COS: 14250\nMIS to EXT: 15559\nMIS to LTO: 14026\nMIS to TRS: 15021\nMIS to ACX: 6692\nMIS to BSD: 7226\nCOS to LJG: 12513\nCOS to EXT: 7713\nCOS to LTO: 2454\nCOS to TRS: 8812\nCOS to ACX: 12396\nCOS to BSD: 12869\nLTO to LJG: 13271\nLTO to EXT: 9962\nLTO to TRS: 11038\nLTO to ACX: 13154\nLTO to BSD: 13627\nEXT to LJG: 9097\nEXT to TRS: 1439\nEXT to ACX: 9305\nEXT to BSD: 9526\nTRS to LJG: 8598\nTRS to ACX: 8805\nTRS to BSD: 9011\nACX to LJG: 898\nACX to BSD: 1048\nLJG to BSD: 674\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CFU, WHK, FUO, GIU, LKO, LUO, YUL, SMF\n- Travel distances (in kilometers) between each pair of airports:\nKLO to YUL: 14019\nKLO to CFU: 10270\nKLO to LKO: 5016\nKLO to SMF: 11713\nKLO to LUO: 13308\nKLO to FUO: 5115\nKLO to WHK: 8210\nKLO to GIU: 4998\nCFU to YUL: 7261\nCFU to LKO: 5757\nCFU to SMF: 10624\nCFU to LUO: 7331\nCFU to FUO: 9794\nCFU to WHK: 18050\nCFU to GIU: 7027\nWHK to YUL: 14671\nWHK to LKO: 12315\nWHK to SMF: 10858\nWHK to LUO: 16683\nWHK to FUO: 12596\nWHK to GIU: 11282\nFUO to YUL: 13468\nFUO to LKO: 6338\nFUO to SMF: 11795\nFUO to LUO: 14646\nFUO to GIU: 7193\nGIU to YUL: 13962\nGIU to LKO: 2331\nGIU to SMF: 14868\nGIU to LUO: 8729\nLKO to YUL: 12288\nLKO to SMF: 13861\nLKO to LUO: 9186\nLUO to YUL: 11603\nLUO to SMF: 15427\nYUL to SMF: 3960\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60133,
"style": "rule"
}
|
{
"exact_answer": 60133,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLO\", \"id\": 0}, {\"name\": \"CFU\", \"id\": 1}, {\"name\": \"WHK\", \"id\": 2}, {\"name\": \"FUO\", \"id\": 3}, {\"name\": \"GIU\", \"id\": 4}, {\"name\": \"LKO\", \"id\": 5}, {\"name\": \"LUO\", \"id\": 6}, {\"name\": \"YUL\", \"id\": 7}, {\"name\": \"SMF\", \"id\": 8}], \"links\": [{\"weight\": 14019, \"source\": 0, \"target\": 7}, {\"weight\": 10270, \"source\": 0, \"target\": 1}, {\"weight\": 5016, \"source\": 0, \"target\": 5}, {\"weight\": 11713, \"source\": 0, \"target\": 8}, {\"weight\": 13308, \"source\": 0, \"target\": 6}, {\"weight\": 5115, \"source\": 0, \"target\": 3}, {\"weight\": 8210, \"source\": 0, \"target\": 2}, {\"weight\": 4998, \"source\": 0, \"target\": 4}, {\"weight\": 7261, \"source\": 1, \"target\": 7}, {\"weight\": 5757, \"source\": 1, \"target\": 5}, {\"weight\": 10624, \"source\": 1, \"target\": 8}, {\"weight\": 7331, \"source\": 1, \"target\": 6}, {\"weight\": 9794, \"source\": 1, \"target\": 3}, {\"weight\": 18050, \"source\": 1, \"target\": 2}, {\"weight\": 7027, \"source\": 1, \"target\": 4}, {\"weight\": 14671, \"source\": 2, \"target\": 7}, {\"weight\": 12315, \"source\": 2, \"target\": 5}, {\"weight\": 10858, \"source\": 2, \"target\": 8}, {\"weight\": 16683, \"source\": 2, \"target\": 6}, {\"weight\": 12596, \"source\": 2, \"target\": 3}, {\"weight\": 11282, \"source\": 2, \"target\": 4}, {\"weight\": 13468, \"source\": 3, \"target\": 7}, {\"weight\": 6338, \"source\": 3, \"target\": 5}, {\"weight\": 11795, \"source\": 3, \"target\": 8}, {\"weight\": 14646, \"source\": 3, \"target\": 6}, {\"weight\": 7193, \"source\": 3, \"target\": 4}, {\"weight\": 13962, \"source\": 4, \"target\": 7}, {\"weight\": 2331, \"source\": 4, \"target\": 5}, {\"weight\": 14868, \"source\": 4, \"target\": 8}, {\"weight\": 8729, \"source\": 4, \"target\": 6}, {\"weight\": 12288, \"source\": 5, \"target\": 7}, {\"weight\": 13861, \"source\": 5, \"target\": 8}, {\"weight\": 9186, \"source\": 5, \"target\": 6}, {\"weight\": 11603, \"source\": 6, \"target\": 7}, {\"weight\": 15427, \"source\": 6, \"target\": 8}, {\"weight\": 3960, \"source\": 7, \"target\": 8}]}",
"id": 68,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CFU, WHK, FUO, GIU, LKO, LUO, YUL, SMF\n- Travel distances (in kilometers) between each pair of airports:\nKLO to YUL: 14019\nKLO to CFU: 10270\nKLO to LKO: 5016\nKLO to SMF: 11713\nKLO to LUO: 13308\nKLO to FUO: 5115\nKLO to WHK: 8210\nKLO to GIU: 4998\nCFU to YUL: 7261\nCFU to LKO: 5757\nCFU to SMF: 10624\nCFU to LUO: 7331\nCFU to FUO: 9794\nCFU to WHK: 18050\nCFU to GIU: 7027\nWHK to YUL: 14671\nWHK to LKO: 12315\nWHK to SMF: 10858\nWHK to LUO: 16683\nWHK to FUO: 12596\nWHK to GIU: 11282\nFUO to YUL: 13468\nFUO to LKO: 6338\nFUO to SMF: 11795\nFUO to LUO: 14646\nFUO to GIU: 7193\nGIU to YUL: 13962\nGIU to LKO: 2331\nGIU to SMF: 14868\nGIU to LUO: 8729\nLKO to YUL: 12288\nLKO to SMF: 13861\nLKO to LUO: 9186\nLUO to YUL: 11603\nLUO to SMF: 15427\nYUL to SMF: 3960\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BJB, TLM, ACC, DRG, LBL, JIJ, ERL, KWL, PUQ\n- Travel distances (in kilometers) between each pair of airports:\nBJB to ACC: 7116\nBJB to KWL: 6495\nBJB to DRG: 15845\nBJB to PUQ: 17000\nBJB to TLM: 5344\nBJB to JIJ: 3738\nBJB to LBL: 12916\nBJB to ERL: 6169\nTLM to ACC: 3972\nTLM to KWL: 10345\nTLM to DRG: 12918\nTLM to PUQ: 13015\nTLM to JIJ: 5858\nTLM to LBL: 9772\nTLM to ERL: 9763\nACC to KWL: 11767\nACC to DRG: 14883\nACC to PUQ: 10222\nACC to JIJ: 4743\nACC to LBL: 11280\nACC to ERL: 11734\nDRG to KWL: 13705\nDRG to PUQ: 15862\nDRG to JIJ: 17162\nDRG to LBL: 5282\nDRG to ERL: 12524\nLBL to KWL: 12446\nLBL to PUQ: 11528\nLBL to JIJ: 14230\nLBL to ERL: 11282\nJIJ to KWL: 7748\nJIJ to PUQ: 14330\nJIJ to ERL: 8290\nERL to KWL: 2077\nERL to PUQ: 21571\nKWL to PUQ: 21421\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61696,
"style": "rule"
}
|
{
"exact_answer": 61696,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BJB\", \"id\": 0}, {\"name\": \"TLM\", \"id\": 1}, {\"name\": \"ACC\", \"id\": 2}, {\"name\": \"DRG\", \"id\": 3}, {\"name\": \"LBL\", \"id\": 4}, {\"name\": \"JIJ\", \"id\": 5}, {\"name\": \"ERL\", \"id\": 6}, {\"name\": \"KWL\", \"id\": 7}, {\"name\": \"PUQ\", \"id\": 8}], \"links\": [{\"weight\": 7116, \"source\": 0, \"target\": 2}, {\"weight\": 6495, \"source\": 0, \"target\": 7}, {\"weight\": 15845, \"source\": 0, \"target\": 3}, {\"weight\": 17000, \"source\": 0, \"target\": 8}, {\"weight\": 5344, \"source\": 0, \"target\": 1}, {\"weight\": 3738, \"source\": 0, \"target\": 5}, {\"weight\": 12916, \"source\": 0, \"target\": 4}, {\"weight\": 6169, \"source\": 0, \"target\": 6}, {\"weight\": 3972, \"source\": 1, \"target\": 2}, {\"weight\": 10345, \"source\": 1, \"target\": 7}, {\"weight\": 12918, \"source\": 1, \"target\": 3}, {\"weight\": 13015, \"source\": 1, \"target\": 8}, {\"weight\": 5858, \"source\": 1, \"target\": 5}, {\"weight\": 9772, \"source\": 1, \"target\": 4}, {\"weight\": 9763, \"source\": 1, \"target\": 6}, {\"weight\": 11767, \"source\": 2, \"target\": 7}, {\"weight\": 14883, \"source\": 2, \"target\": 3}, {\"weight\": 10222, \"source\": 2, \"target\": 8}, {\"weight\": 4743, \"source\": 2, \"target\": 5}, {\"weight\": 11280, \"source\": 2, \"target\": 4}, {\"weight\": 11734, \"source\": 2, \"target\": 6}, {\"weight\": 13705, \"source\": 3, \"target\": 7}, {\"weight\": 15862, \"source\": 3, \"target\": 8}, {\"weight\": 17162, \"source\": 3, \"target\": 5}, {\"weight\": 5282, \"source\": 3, \"target\": 4}, {\"weight\": 12524, \"source\": 3, \"target\": 6}, {\"weight\": 12446, \"source\": 4, \"target\": 7}, {\"weight\": 11528, \"source\": 4, \"target\": 8}, {\"weight\": 14230, \"source\": 4, \"target\": 5}, {\"weight\": 11282, \"source\": 4, \"target\": 6}, {\"weight\": 7748, \"source\": 5, \"target\": 7}, {\"weight\": 14330, \"source\": 5, \"target\": 8}, {\"weight\": 8290, \"source\": 5, \"target\": 6}, {\"weight\": 2077, \"source\": 6, \"target\": 7}, {\"weight\": 21571, \"source\": 6, \"target\": 8}, {\"weight\": 21421, \"source\": 7, \"target\": 8}]}",
"id": 69,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BJB, TLM, ACC, DRG, LBL, JIJ, ERL, KWL, PUQ\n- Travel distances (in kilometers) between each pair of airports:\nBJB to ACC: 7116\nBJB to KWL: 6495\nBJB to DRG: 15845\nBJB to PUQ: 17000\nBJB to TLM: 5344\nBJB to JIJ: 3738\nBJB to LBL: 12916\nBJB to ERL: 6169\nTLM to ACC: 3972\nTLM to KWL: 10345\nTLM to DRG: 12918\nTLM to PUQ: 13015\nTLM to JIJ: 5858\nTLM to LBL: 9772\nTLM to ERL: 9763\nACC to KWL: 11767\nACC to DRG: 14883\nACC to PUQ: 10222\nACC to JIJ: 4743\nACC to LBL: 11280\nACC to ERL: 11734\nDRG to KWL: 13705\nDRG to PUQ: 15862\nDRG to JIJ: 17162\nDRG to LBL: 5282\nDRG to ERL: 12524\nLBL to KWL: 12446\nLBL to PUQ: 11528\nLBL to JIJ: 14230\nLBL to ERL: 11282\nJIJ to KWL: 7748\nJIJ to PUQ: 14330\nJIJ to ERL: 8290\nERL to KWL: 2077\nERL to PUQ: 21571\nKWL to PUQ: 21421\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBR, MRX, MSR, DIL, KSC, SVB, YUT, RVN, KUF\n- Travel distances (in kilometers) between each pair of airports:\nYBR to YUT: 3897\nYBR to KUF: 10306\nYBR to RVN: 9307\nYBR to KSC: 9402\nYBR to SVB: 17090\nYBR to DIL: 15695\nYBR to MSR: 11427\nYBR to MRX: 12901\nMRX to YUT: 12306\nMRX to KUF: 3980\nMRX to RVN: 5066\nMRX to KSC: 4188\nMRX to SVB: 6416\nMRX to DIL: 9719\nMRX to MSR: 3752\nMSR to YUT: 10816\nMSR to KUF: 3291\nMSR to RVN: 3978\nMSR to KSC: 2687\nMSR to SVB: 7604\nMSR to DIL: 11695\nDIL to YUT: 17588\nDIL to KUF: 10234\nDIL to RVN: 12597\nDIL to KSC: 12681\nDIL to SVB: 9749\nKSC to YUT: 8780\nKSC to KUF: 2826\nKSC to RVN: 2505\nKSC to SVB: 8495\nSVB to YUT: 16281\nSVB to KUF: 8612\nSVB to RVN: 9825\nYUT to KUF: 10569\nYUT to RVN: 9749\nRVN to KUF: 2389\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56474,
"style": "rule"
}
|
{
"exact_answer": 56474,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBR\", \"id\": 0}, {\"name\": \"MRX\", \"id\": 1}, {\"name\": \"MSR\", \"id\": 2}, {\"name\": \"DIL\", \"id\": 3}, {\"name\": \"KSC\", \"id\": 4}, {\"name\": \"SVB\", \"id\": 5}, {\"name\": \"YUT\", \"id\": 6}, {\"name\": \"RVN\", \"id\": 7}, {\"name\": \"KUF\", \"id\": 8}], \"links\": [{\"weight\": 3897, \"source\": 0, \"target\": 6}, {\"weight\": 10306, \"source\": 0, \"target\": 8}, {\"weight\": 9307, \"source\": 0, \"target\": 7}, {\"weight\": 9402, \"source\": 0, \"target\": 4}, {\"weight\": 17090, \"source\": 0, \"target\": 5}, {\"weight\": 15695, \"source\": 0, \"target\": 3}, {\"weight\": 11427, \"source\": 0, \"target\": 2}, {\"weight\": 12901, \"source\": 0, \"target\": 1}, {\"weight\": 12306, \"source\": 1, \"target\": 6}, {\"weight\": 3980, \"source\": 1, \"target\": 8}, {\"weight\": 5066, \"source\": 1, \"target\": 7}, {\"weight\": 4188, \"source\": 1, \"target\": 4}, {\"weight\": 6416, \"source\": 1, \"target\": 5}, {\"weight\": 9719, \"source\": 1, \"target\": 3}, {\"weight\": 3752, \"source\": 1, \"target\": 2}, {\"weight\": 10816, \"source\": 2, \"target\": 6}, {\"weight\": 3291, \"source\": 2, \"target\": 8}, {\"weight\": 3978, \"source\": 2, \"target\": 7}, {\"weight\": 2687, \"source\": 2, \"target\": 4}, {\"weight\": 7604, \"source\": 2, \"target\": 5}, {\"weight\": 11695, \"source\": 2, \"target\": 3}, {\"weight\": 17588, \"source\": 3, \"target\": 6}, {\"weight\": 10234, \"source\": 3, \"target\": 8}, {\"weight\": 12597, \"source\": 3, \"target\": 7}, {\"weight\": 12681, \"source\": 3, \"target\": 4}, {\"weight\": 9749, \"source\": 3, \"target\": 5}, {\"weight\": 8780, \"source\": 4, \"target\": 6}, {\"weight\": 2826, \"source\": 4, \"target\": 8}, {\"weight\": 2505, \"source\": 4, \"target\": 7}, {\"weight\": 8495, \"source\": 4, \"target\": 5}, {\"weight\": 16281, \"source\": 5, \"target\": 6}, {\"weight\": 8612, \"source\": 5, \"target\": 8}, {\"weight\": 9825, \"source\": 5, \"target\": 7}, {\"weight\": 10569, \"source\": 6, \"target\": 8}, {\"weight\": 9749, \"source\": 6, \"target\": 7}, {\"weight\": 2389, \"source\": 7, \"target\": 8}]}",
"id": 70,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBR, MRX, MSR, DIL, KSC, SVB, YUT, RVN, KUF\n- Travel distances (in kilometers) between each pair of airports:\nYBR to YUT: 3897\nYBR to KUF: 10306\nYBR to RVN: 9307\nYBR to KSC: 9402\nYBR to SVB: 17090\nYBR to DIL: 15695\nYBR to MSR: 11427\nYBR to MRX: 12901\nMRX to YUT: 12306\nMRX to KUF: 3980\nMRX to RVN: 5066\nMRX to KSC: 4188\nMRX to SVB: 6416\nMRX to DIL: 9719\nMRX to MSR: 3752\nMSR to YUT: 10816\nMSR to KUF: 3291\nMSR to RVN: 3978\nMSR to KSC: 2687\nMSR to SVB: 7604\nMSR to DIL: 11695\nDIL to YUT: 17588\nDIL to KUF: 10234\nDIL to RVN: 12597\nDIL to KSC: 12681\nDIL to SVB: 9749\nKSC to YUT: 8780\nKSC to KUF: 2826\nKSC to RVN: 2505\nKSC to SVB: 8495\nSVB to YUT: 16281\nSVB to KUF: 8612\nSVB to RVN: 9825\nYUT to KUF: 10569\nYUT to RVN: 9749\nRVN to KUF: 2389\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWU, DRK, SFA, STT, SOM, OBU, LSC, WNP, YLE\n- Travel distances (in kilometers) between each pair of airports:\nTWU to DRK: 17663\nTWU to WNP: 1650\nTWU to OBU: 15509\nTWU to YLE: 13804\nTWU to SFA: 11548\nTWU to STT: 17648\nTWU to LSC: 17843\nTWU to SOM: 18796\nDRK to WNP: 16539\nDRK to OBU: 9032\nDRK to YLE: 6814\nDRK to SFA: 10155\nDRK to STT: 2473\nDRK to LSC: 4899\nDRK to SOM: 2422\nSFA to WNP: 11323\nSFA to OBU: 13223\nSFA to YLE: 10059\nSFA to STT: 8429\nSFA to LSC: 12271\nSFA to SOM: 8812\nSTT to WNP: 16577\nSTT to OBU: 9102\nSTT to YLE: 6426\nSTT to LSC: 5862\nSTT to SOM: 1348\nSOM to WNP: 17726\nSOM to OBU: 10106\nSOM to YLE: 7570\nSOM to LSC: 5288\nOBU to WNP: 14385\nOBU to YLE: 5530\nOBU to LSC: 13614\nLSC to WNP: 18253\nLSC to YLE: 11396\nWNP to YLE: 12683\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59891,
"style": "rule"
}
|
{
"exact_answer": 59891,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TWU\", \"id\": 0}, {\"name\": \"DRK\", \"id\": 1}, {\"name\": \"SFA\", \"id\": 2}, {\"name\": \"STT\", \"id\": 3}, {\"name\": \"SOM\", \"id\": 4}, {\"name\": \"OBU\", \"id\": 5}, {\"name\": \"LSC\", \"id\": 6}, {\"name\": \"WNP\", \"id\": 7}, {\"name\": \"YLE\", \"id\": 8}], \"links\": [{\"weight\": 17663, \"source\": 0, \"target\": 1}, {\"weight\": 1650, \"source\": 0, \"target\": 7}, {\"weight\": 15509, \"source\": 0, \"target\": 5}, {\"weight\": 13804, \"source\": 0, \"target\": 8}, {\"weight\": 11548, \"source\": 0, \"target\": 2}, {\"weight\": 17648, \"source\": 0, \"target\": 3}, {\"weight\": 17843, \"source\": 0, \"target\": 6}, {\"weight\": 18796, \"source\": 0, \"target\": 4}, {\"weight\": 16539, \"source\": 1, \"target\": 7}, {\"weight\": 9032, \"source\": 1, \"target\": 5}, {\"weight\": 6814, \"source\": 1, \"target\": 8}, {\"weight\": 10155, \"source\": 1, \"target\": 2}, {\"weight\": 2473, \"source\": 1, \"target\": 3}, {\"weight\": 4899, \"source\": 1, \"target\": 6}, {\"weight\": 2422, \"source\": 1, \"target\": 4}, {\"weight\": 11323, \"source\": 2, \"target\": 7}, {\"weight\": 13223, \"source\": 2, \"target\": 5}, {\"weight\": 10059, \"source\": 2, \"target\": 8}, {\"weight\": 8429, \"source\": 2, \"target\": 3}, {\"weight\": 12271, \"source\": 2, \"target\": 6}, {\"weight\": 8812, \"source\": 2, \"target\": 4}, {\"weight\": 16577, \"source\": 3, \"target\": 7}, {\"weight\": 9102, \"source\": 3, \"target\": 5}, {\"weight\": 6426, \"source\": 3, \"target\": 8}, {\"weight\": 5862, \"source\": 3, \"target\": 6}, {\"weight\": 1348, \"source\": 3, \"target\": 4}, {\"weight\": 17726, \"source\": 4, \"target\": 7}, {\"weight\": 10106, \"source\": 4, \"target\": 5}, {\"weight\": 7570, \"source\": 4, \"target\": 8}, {\"weight\": 5288, \"source\": 4, \"target\": 6}, {\"weight\": 14385, \"source\": 5, \"target\": 7}, {\"weight\": 5530, \"source\": 5, \"target\": 8}, {\"weight\": 13614, \"source\": 5, \"target\": 6}, {\"weight\": 18253, \"source\": 6, \"target\": 7}, {\"weight\": 11396, \"source\": 6, \"target\": 8}, {\"weight\": 12683, \"source\": 7, \"target\": 8}]}",
"id": 71,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWU, DRK, SFA, STT, SOM, OBU, LSC, WNP, YLE\n- Travel distances (in kilometers) between each pair of airports:\nTWU to DRK: 17663\nTWU to WNP: 1650\nTWU to OBU: 15509\nTWU to YLE: 13804\nTWU to SFA: 11548\nTWU to STT: 17648\nTWU to LSC: 17843\nTWU to SOM: 18796\nDRK to WNP: 16539\nDRK to OBU: 9032\nDRK to YLE: 6814\nDRK to SFA: 10155\nDRK to STT: 2473\nDRK to LSC: 4899\nDRK to SOM: 2422\nSFA to WNP: 11323\nSFA to OBU: 13223\nSFA to YLE: 10059\nSFA to STT: 8429\nSFA to LSC: 12271\nSFA to SOM: 8812\nSTT to WNP: 16577\nSTT to OBU: 9102\nSTT to YLE: 6426\nSTT to LSC: 5862\nSTT to SOM: 1348\nSOM to WNP: 17726\nSOM to OBU: 10106\nSOM to YLE: 7570\nSOM to LSC: 5288\nOBU to WNP: 14385\nOBU to YLE: 5530\nOBU to LSC: 13614\nLSC to WNP: 18253\nLSC to YLE: 11396\nWNP to YLE: 12683\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DTW, VAO, EJH, YZY, NYK, YTS, BMI, NCL, TYR\n- Travel distances (in kilometers) between each pair of airports:\nDTW to BMI: 502\nDTW to TYR: 1750\nDTW to NCL: 5949\nDTW to YTS: 903\nDTW to NYK: 13465\nDTW to YZY: 12266\nDTW to VAO: 14411\nDTW to EJH: 11356\nVAO to BMI: 13957\nVAO to TYR: 13381\nVAO to NCL: 16244\nVAO to YTS: 14851\nVAO to NYK: 15056\nVAO to YZY: 8944\nVAO to EJH: 14522\nEJH to BMI: 11848\nEJH to TYR: 13105\nEJH to NCL: 5588\nEJH to YTS: 11575\nEJH to NYK: 3632\nEJH to YZY: 7644\nYZY to BMI: 12368\nYZY to TYR: 13094\nYZY to NCL: 8209\nYZY to YTS: 12740\nYZY to NYK: 9045\nNYK to BMI: 13957\nNYK to TYR: 15019\nNYK to NCL: 7796\nNYK to YTS: 13685\nYTS to BMI: 1405\nYTS to TYR: 2652\nYTS to NCL: 6166\nBMI to TYR: 1274\nBMI to NCL: 6428\nNCL to TYR: 7695\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49435,
"style": "rule"
}
|
{
"exact_answer": 49435,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DTW\", \"id\": 0}, {\"name\": \"VAO\", \"id\": 1}, {\"name\": \"EJH\", \"id\": 2}, {\"name\": \"YZY\", \"id\": 3}, {\"name\": \"NYK\", \"id\": 4}, {\"name\": \"YTS\", \"id\": 5}, {\"name\": \"BMI\", \"id\": 6}, {\"name\": \"NCL\", \"id\": 7}, {\"name\": \"TYR\", \"id\": 8}], \"links\": [{\"weight\": 502, \"source\": 0, \"target\": 6}, {\"weight\": 1750, \"source\": 0, \"target\": 8}, {\"weight\": 5949, \"source\": 0, \"target\": 7}, {\"weight\": 903, \"source\": 0, \"target\": 5}, {\"weight\": 13465, \"source\": 0, \"target\": 4}, {\"weight\": 12266, \"source\": 0, \"target\": 3}, {\"weight\": 14411, \"source\": 0, \"target\": 1}, {\"weight\": 11356, \"source\": 0, \"target\": 2}, {\"weight\": 13957, \"source\": 1, \"target\": 6}, {\"weight\": 13381, \"source\": 1, \"target\": 8}, {\"weight\": 16244, \"source\": 1, \"target\": 7}, {\"weight\": 14851, \"source\": 1, \"target\": 5}, {\"weight\": 15056, \"source\": 1, \"target\": 4}, {\"weight\": 8944, \"source\": 1, \"target\": 3}, {\"weight\": 14522, \"source\": 1, \"target\": 2}, {\"weight\": 11848, \"source\": 2, \"target\": 6}, {\"weight\": 13105, \"source\": 2, \"target\": 8}, {\"weight\": 5588, \"source\": 2, \"target\": 7}, {\"weight\": 11575, \"source\": 2, \"target\": 5}, {\"weight\": 3632, \"source\": 2, \"target\": 4}, {\"weight\": 7644, \"source\": 2, \"target\": 3}, {\"weight\": 12368, \"source\": 3, \"target\": 6}, {\"weight\": 13094, \"source\": 3, \"target\": 8}, {\"weight\": 8209, \"source\": 3, \"target\": 7}, {\"weight\": 12740, \"source\": 3, \"target\": 5}, {\"weight\": 9045, \"source\": 3, \"target\": 4}, {\"weight\": 13957, \"source\": 4, \"target\": 6}, {\"weight\": 15019, \"source\": 4, \"target\": 8}, {\"weight\": 7796, \"source\": 4, \"target\": 7}, {\"weight\": 13685, \"source\": 4, \"target\": 5}, {\"weight\": 1405, \"source\": 5, \"target\": 6}, {\"weight\": 2652, \"source\": 5, \"target\": 8}, {\"weight\": 6166, \"source\": 5, \"target\": 7}, {\"weight\": 1274, \"source\": 6, \"target\": 8}, {\"weight\": 6428, \"source\": 6, \"target\": 7}, {\"weight\": 7695, \"source\": 7, \"target\": 8}]}",
"id": 72,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DTW, VAO, EJH, YZY, NYK, YTS, BMI, NCL, TYR\n- Travel distances (in kilometers) between each pair of airports:\nDTW to BMI: 502\nDTW to TYR: 1750\nDTW to NCL: 5949\nDTW to YTS: 903\nDTW to NYK: 13465\nDTW to YZY: 12266\nDTW to VAO: 14411\nDTW to EJH: 11356\nVAO to BMI: 13957\nVAO to TYR: 13381\nVAO to NCL: 16244\nVAO to YTS: 14851\nVAO to NYK: 15056\nVAO to YZY: 8944\nVAO to EJH: 14522\nEJH to BMI: 11848\nEJH to TYR: 13105\nEJH to NCL: 5588\nEJH to YTS: 11575\nEJH to NYK: 3632\nEJH to YZY: 7644\nYZY to BMI: 12368\nYZY to TYR: 13094\nYZY to NCL: 8209\nYZY to YTS: 12740\nYZY to NYK: 9045\nNYK to BMI: 13957\nNYK to TYR: 15019\nNYK to NCL: 7796\nNYK to YTS: 13685\nYTS to BMI: 1405\nYTS to TYR: 2652\nYTS to NCL: 6166\nBMI to TYR: 1274\nBMI to NCL: 6428\nNCL to TYR: 7695\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, DJB, SUX, LAR, YDQ, IGG, NSK, YEG, DAU\n- Travel distances (in kilometers) between each pair of airports:\nHTS to YEG: 3617\nHTS to YDQ: 4861\nHTS to SUX: 2041\nHTS to DAU: 16510\nHTS to DJB: 17015\nHTS to IGG: 6455\nHTS to NSK: 10929\nHTS to LAR: 2708\nDJB to YEG: 14246\nDJB to YDQ: 14314\nDJB to SUX: 16446\nDJB to DAU: 5541\nDJB to IGG: 16545\nDJB to NSK: 8129\nDJB to LAR: 15530\nSUX to YEG: 2978\nSUX to YDQ: 4222\nSUX to DAU: 16221\nSUX to IGG: 5812\nSUX to NSK: 11042\nSUX to LAR: 2306\nLAR to YEG: 1821\nLAR to YDQ: 2726\nLAR to DAU: 14288\nLAR to IGG: 4590\nLAR to NSK: 11448\nYDQ to YEG: 1244\nYDQ to DAU: 13776\nYDQ to IGG: 3829\nYDQ to NSK: 11705\nIGG to YEG: 3767\nIGG to DAU: 13955\nIGG to NSK: 14221\nNSK to YEG: 10461\nNSK to DAU: 11232\nYEG to DAU: 13708\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49795,
"style": "rule"
}
|
{
"exact_answer": 49795,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTS\", \"id\": 0}, {\"name\": \"DJB\", \"id\": 1}, {\"name\": \"SUX\", \"id\": 2}, {\"name\": \"LAR\", \"id\": 3}, {\"name\": \"YDQ\", \"id\": 4}, {\"name\": \"IGG\", \"id\": 5}, {\"name\": \"NSK\", \"id\": 6}, {\"name\": \"YEG\", \"id\": 7}, {\"name\": \"DAU\", \"id\": 8}], \"links\": [{\"weight\": 3617, \"source\": 0, \"target\": 7}, {\"weight\": 4861, \"source\": 0, \"target\": 4}, {\"weight\": 2041, \"source\": 0, \"target\": 2}, {\"weight\": 16510, \"source\": 0, \"target\": 8}, {\"weight\": 17015, \"source\": 0, \"target\": 1}, {\"weight\": 6455, \"source\": 0, \"target\": 5}, {\"weight\": 10929, \"source\": 0, \"target\": 6}, {\"weight\": 2708, \"source\": 0, \"target\": 3}, {\"weight\": 14246, \"source\": 1, \"target\": 7}, {\"weight\": 14314, \"source\": 1, \"target\": 4}, {\"weight\": 16446, \"source\": 1, \"target\": 2}, {\"weight\": 5541, \"source\": 1, \"target\": 8}, {\"weight\": 16545, \"source\": 1, \"target\": 5}, {\"weight\": 8129, \"source\": 1, \"target\": 6}, {\"weight\": 15530, \"source\": 1, \"target\": 3}, {\"weight\": 2978, \"source\": 2, \"target\": 7}, {\"weight\": 4222, \"source\": 2, \"target\": 4}, {\"weight\": 16221, \"source\": 2, \"target\": 8}, {\"weight\": 5812, \"source\": 2, \"target\": 5}, {\"weight\": 11042, \"source\": 2, \"target\": 6}, {\"weight\": 2306, \"source\": 2, \"target\": 3}, {\"weight\": 1821, \"source\": 3, \"target\": 7}, {\"weight\": 2726, \"source\": 3, \"target\": 4}, {\"weight\": 14288, \"source\": 3, \"target\": 8}, {\"weight\": 4590, \"source\": 3, \"target\": 5}, {\"weight\": 11448, \"source\": 3, \"target\": 6}, {\"weight\": 1244, \"source\": 4, \"target\": 7}, {\"weight\": 13776, \"source\": 4, \"target\": 8}, {\"weight\": 3829, \"source\": 4, \"target\": 5}, {\"weight\": 11705, \"source\": 4, \"target\": 6}, {\"weight\": 3767, \"source\": 5, \"target\": 7}, {\"weight\": 13955, \"source\": 5, \"target\": 8}, {\"weight\": 14221, \"source\": 5, \"target\": 6}, {\"weight\": 10461, \"source\": 6, \"target\": 7}, {\"weight\": 11232, \"source\": 6, \"target\": 8}, {\"weight\": 13708, \"source\": 7, \"target\": 8}]}",
"id": 73,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, DJB, SUX, LAR, YDQ, IGG, NSK, YEG, DAU\n- Travel distances (in kilometers) between each pair of airports:\nHTS to YEG: 3617\nHTS to YDQ: 4861\nHTS to SUX: 2041\nHTS to DAU: 16510\nHTS to DJB: 17015\nHTS to IGG: 6455\nHTS to NSK: 10929\nHTS to LAR: 2708\nDJB to YEG: 14246\nDJB to YDQ: 14314\nDJB to SUX: 16446\nDJB to DAU: 5541\nDJB to IGG: 16545\nDJB to NSK: 8129\nDJB to LAR: 15530\nSUX to YEG: 2978\nSUX to YDQ: 4222\nSUX to DAU: 16221\nSUX to IGG: 5812\nSUX to NSK: 11042\nSUX to LAR: 2306\nLAR to YEG: 1821\nLAR to YDQ: 2726\nLAR to DAU: 14288\nLAR to IGG: 4590\nLAR to NSK: 11448\nYDQ to YEG: 1244\nYDQ to DAU: 13776\nYDQ to IGG: 3829\nYDQ to NSK: 11705\nIGG to YEG: 3767\nIGG to DAU: 13955\nIGG to NSK: 14221\nNSK to YEG: 10461\nNSK to DAU: 11232\nYEG to DAU: 13708\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, IBE, DME, USN, TIH, GET, RGS, HAU, LIN\n- Travel distances (in kilometers) between each pair of airports:\nIAO to DME: 9047\nIAO to LIN: 11281\nIAO to IBE: 17874\nIAO to HAU: 10854\nIAO to RGS: 12500\nIAO to USN: 3369\nIAO to GET: 5900\nIAO to TIH: 11766\nIBE to DME: 11074\nIBE to LIN: 9324\nIBE to HAU: 9560\nIBE to RGS: 9112\nIBE to USN: 15778\nIBE to GET: 19349\nIBE to TIH: 12633\nDME to LIN: 2296\nDME to HAU: 2043\nDME to RGS: 3513\nDME to USN: 7026\nDME to GET: 12629\nDME to TIH: 17117\nUSN to LIN: 9318\nUSN to HAU: 8655\nUSN to RGS: 10538\nUSN to GET: 8182\nUSN to TIH: 11353\nTIH to LIN: 16658\nTIH to HAU: 15621\nTIH to RGS: 17274\nTIH to GET: 10081\nGET to LIN: 14126\nGET to HAU: 14617\nGET to RGS: 15045\nRGS to LIN: 1228\nRGS to HAU: 2556\nHAU to LIN: 1580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52972,
"style": "rule"
}
|
{
"exact_answer": 52972,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAO\", \"id\": 0}, {\"name\": \"IBE\", \"id\": 1}, {\"name\": \"DME\", \"id\": 2}, {\"name\": \"USN\", \"id\": 3}, {\"name\": \"TIH\", \"id\": 4}, {\"name\": \"GET\", \"id\": 5}, {\"name\": \"RGS\", \"id\": 6}, {\"name\": \"HAU\", \"id\": 7}, {\"name\": \"LIN\", \"id\": 8}], \"links\": [{\"weight\": 9047, \"source\": 0, \"target\": 2}, {\"weight\": 11281, \"source\": 0, \"target\": 8}, {\"weight\": 17874, \"source\": 0, \"target\": 1}, {\"weight\": 10854, \"source\": 0, \"target\": 7}, {\"weight\": 12500, \"source\": 0, \"target\": 6}, {\"weight\": 3369, \"source\": 0, \"target\": 3}, {\"weight\": 5900, \"source\": 0, \"target\": 5}, {\"weight\": 11766, \"source\": 0, \"target\": 4}, {\"weight\": 11074, \"source\": 1, \"target\": 2}, {\"weight\": 9324, \"source\": 1, \"target\": 8}, {\"weight\": 9560, \"source\": 1, \"target\": 7}, {\"weight\": 9112, \"source\": 1, \"target\": 6}, {\"weight\": 15778, \"source\": 1, \"target\": 3}, {\"weight\": 19349, \"source\": 1, \"target\": 5}, {\"weight\": 12633, \"source\": 1, \"target\": 4}, {\"weight\": 2296, \"source\": 2, \"target\": 8}, {\"weight\": 2043, \"source\": 2, \"target\": 7}, {\"weight\": 3513, \"source\": 2, \"target\": 6}, {\"weight\": 7026, \"source\": 2, \"target\": 3}, {\"weight\": 12629, \"source\": 2, \"target\": 5}, {\"weight\": 17117, \"source\": 2, \"target\": 4}, {\"weight\": 9318, \"source\": 3, \"target\": 8}, {\"weight\": 8655, \"source\": 3, \"target\": 7}, {\"weight\": 10538, \"source\": 3, \"target\": 6}, {\"weight\": 8182, \"source\": 3, \"target\": 5}, {\"weight\": 11353, \"source\": 3, \"target\": 4}, {\"weight\": 16658, \"source\": 4, \"target\": 8}, {\"weight\": 15621, \"source\": 4, \"target\": 7}, {\"weight\": 17274, \"source\": 4, \"target\": 6}, {\"weight\": 10081, \"source\": 4, \"target\": 5}, {\"weight\": 14126, \"source\": 5, \"target\": 8}, {\"weight\": 14617, \"source\": 5, \"target\": 7}, {\"weight\": 15045, \"source\": 5, \"target\": 6}, {\"weight\": 1228, \"source\": 6, \"target\": 8}, {\"weight\": 2556, \"source\": 6, \"target\": 7}, {\"weight\": 1580, \"source\": 7, \"target\": 8}]}",
"id": 74,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, IBE, DME, USN, TIH, GET, RGS, HAU, LIN\n- Travel distances (in kilometers) between each pair of airports:\nIAO to DME: 9047\nIAO to LIN: 11281\nIAO to IBE: 17874\nIAO to HAU: 10854\nIAO to RGS: 12500\nIAO to USN: 3369\nIAO to GET: 5900\nIAO to TIH: 11766\nIBE to DME: 11074\nIBE to LIN: 9324\nIBE to HAU: 9560\nIBE to RGS: 9112\nIBE to USN: 15778\nIBE to GET: 19349\nIBE to TIH: 12633\nDME to LIN: 2296\nDME to HAU: 2043\nDME to RGS: 3513\nDME to USN: 7026\nDME to GET: 12629\nDME to TIH: 17117\nUSN to LIN: 9318\nUSN to HAU: 8655\nUSN to RGS: 10538\nUSN to GET: 8182\nUSN to TIH: 11353\nTIH to LIN: 16658\nTIH to HAU: 15621\nTIH to RGS: 17274\nTIH to GET: 10081\nGET to LIN: 14126\nGET to HAU: 14617\nGET to RGS: 15045\nRGS to LIN: 1228\nRGS to HAU: 2556\nHAU to LIN: 1580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LZC, MJT, SDV, TTJ, BCN, KHI, TIH, BTT\n- Travel distances (in kilometers) between each pair of airports:\nMOU to BCN: 11860\nMOU to BTT: 1432\nMOU to SDV: 14696\nMOU to MJT: 13120\nMOU to LZC: 7212\nMOU to KHI: 16167\nMOU to TTJ: 11272\nMOU to TIH: 9926\nLZC to BCN: 9880\nLZC to BTT: 6911\nLZC to SDV: 13402\nLZC to MJT: 11772\nLZC to KHI: 15283\nLZC to TTJ: 12186\nLZC to TIH: 9785\nMJT to BCN: 2104\nMJT to BTT: 12814\nMJT to SDV: 1958\nMJT to KHI: 4634\nMJT to TTJ: 10457\nMJT to TIH: 18105\nSDV to BCN: 3636\nSDV to BTT: 14390\nSDV to KHI: 3868\nSDV to TTJ: 10297\nSDV to TIH: 19563\nTTJ to BCN: 10960\nTTJ to BTT: 10966\nTTJ to KHI: 7437\nTTJ to TIH: 10881\nBCN to BTT: 11554\nBCN to KHI: 6187\nBCN to TIH: 16788\nKHI to BTT: 15861\nKHI to TIH: 16728\nTIH to BTT: 9902\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54397,
"style": "rule"
}
|
{
"exact_answer": 54397,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MOU\", \"id\": 0}, {\"name\": \"LZC\", \"id\": 1}, {\"name\": \"MJT\", \"id\": 2}, {\"name\": \"SDV\", \"id\": 3}, {\"name\": \"TTJ\", \"id\": 4}, {\"name\": \"BCN\", \"id\": 5}, {\"name\": \"KHI\", \"id\": 6}, {\"name\": \"TIH\", \"id\": 7}, {\"name\": \"BTT\", \"id\": 8}], \"links\": [{\"weight\": 11860, \"source\": 0, \"target\": 5}, {\"weight\": 1432, \"source\": 0, \"target\": 8}, {\"weight\": 14696, \"source\": 0, \"target\": 3}, {\"weight\": 13120, \"source\": 0, \"target\": 2}, {\"weight\": 7212, \"source\": 0, \"target\": 1}, {\"weight\": 16167, \"source\": 0, \"target\": 6}, {\"weight\": 11272, \"source\": 0, \"target\": 4}, {\"weight\": 9926, \"source\": 0, \"target\": 7}, {\"weight\": 9880, \"source\": 1, \"target\": 5}, {\"weight\": 6911, \"source\": 1, \"target\": 8}, {\"weight\": 13402, \"source\": 1, \"target\": 3}, {\"weight\": 11772, \"source\": 1, \"target\": 2}, {\"weight\": 15283, \"source\": 1, \"target\": 6}, {\"weight\": 12186, \"source\": 1, \"target\": 4}, {\"weight\": 9785, \"source\": 1, \"target\": 7}, {\"weight\": 2104, \"source\": 2, \"target\": 5}, {\"weight\": 12814, \"source\": 2, \"target\": 8}, {\"weight\": 1958, \"source\": 2, \"target\": 3}, {\"weight\": 4634, \"source\": 2, \"target\": 6}, {\"weight\": 10457, \"source\": 2, \"target\": 4}, {\"weight\": 18105, \"source\": 2, \"target\": 7}, {\"weight\": 3636, \"source\": 3, \"target\": 5}, {\"weight\": 14390, \"source\": 3, \"target\": 8}, {\"weight\": 3868, \"source\": 3, \"target\": 6}, {\"weight\": 10297, \"source\": 3, \"target\": 4}, {\"weight\": 19563, \"source\": 3, \"target\": 7}, {\"weight\": 10960, \"source\": 4, \"target\": 5}, {\"weight\": 10966, \"source\": 4, \"target\": 8}, {\"weight\": 7437, \"source\": 4, \"target\": 6}, {\"weight\": 10881, \"source\": 4, \"target\": 7}, {\"weight\": 11554, \"source\": 5, \"target\": 8}, {\"weight\": 6187, \"source\": 5, \"target\": 6}, {\"weight\": 16788, \"source\": 5, \"target\": 7}, {\"weight\": 15861, \"source\": 6, \"target\": 8}, {\"weight\": 16728, \"source\": 6, \"target\": 7}, {\"weight\": 9902, \"source\": 7, \"target\": 8}]}",
"id": 75,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LZC, MJT, SDV, TTJ, BCN, KHI, TIH, BTT\n- Travel distances (in kilometers) between each pair of airports:\nMOU to BCN: 11860\nMOU to BTT: 1432\nMOU to SDV: 14696\nMOU to MJT: 13120\nMOU to LZC: 7212\nMOU to KHI: 16167\nMOU to TTJ: 11272\nMOU to TIH: 9926\nLZC to BCN: 9880\nLZC to BTT: 6911\nLZC to SDV: 13402\nLZC to MJT: 11772\nLZC to KHI: 15283\nLZC to TTJ: 12186\nLZC to TIH: 9785\nMJT to BCN: 2104\nMJT to BTT: 12814\nMJT to SDV: 1958\nMJT to KHI: 4634\nMJT to TTJ: 10457\nMJT to TIH: 18105\nSDV to BCN: 3636\nSDV to BTT: 14390\nSDV to KHI: 3868\nSDV to TTJ: 10297\nSDV to TIH: 19563\nTTJ to BCN: 10960\nTTJ to BTT: 10966\nTTJ to KHI: 7437\nTTJ to TIH: 10881\nBCN to BTT: 11554\nBCN to KHI: 6187\nBCN to TIH: 16788\nKHI to BTT: 15861\nKHI to TIH: 16728\nTIH to BTT: 9902\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SOM, IGD, ROK, BHI, LRM, LYP, DMM, CUR\n- Travel distances (in kilometers) between each pair of airports:\nVBV to CUR: 14864\nVBV to LRM: 14474\nVBV to BHI: 13783\nVBV to DMM: 15057\nVBV to ROK: 3624\nVBV to LYP: 14296\nVBV to IGD: 17300\nVBV to SOM: 15500\nSOM to CUR: 638\nSOM to LRM: 1424\nSOM to BHI: 6507\nSOM to DMM: 12459\nSOM to ROK: 17734\nSOM to LYP: 14954\nSOM to IGD: 11353\nIGD to CUR: 11141\nIGD to LRM: 10576\nIGD to BHI: 14103\nIGD to DMM: 3265\nIGD to ROK: 15043\nIGD to LYP: 5447\nROK to CUR: 17559\nROK to LRM: 17110\nROK to BHI: 14182\nROK to DMM: 12225\nROK to LYP: 11468\nBHI to CUR: 6423\nBHI to LRM: 7209\nBHI to DMM: 13975\nBHI to LYP: 16527\nLRM to CUR: 791\nLRM to DMM: 11732\nLRM to LYP: 14162\nLYP to CUR: 14678\nLYP to DMM: 2664\nDMM to CUR: 12375\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53316,
"style": "rule"
}
|
{
"exact_answer": 53316,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VBV\", \"id\": 0}, {\"name\": \"SOM\", \"id\": 1}, {\"name\": \"IGD\", \"id\": 2}, {\"name\": \"ROK\", \"id\": 3}, {\"name\": \"BHI\", \"id\": 4}, {\"name\": \"LRM\", \"id\": 5}, {\"name\": \"LYP\", \"id\": 6}, {\"name\": \"DMM\", \"id\": 7}, {\"name\": \"CUR\", \"id\": 8}], \"links\": [{\"weight\": 14864, \"source\": 0, \"target\": 8}, {\"weight\": 14474, \"source\": 0, \"target\": 5}, {\"weight\": 13783, \"source\": 0, \"target\": 4}, {\"weight\": 15057, \"source\": 0, \"target\": 7}, {\"weight\": 3624, \"source\": 0, \"target\": 3}, {\"weight\": 14296, \"source\": 0, \"target\": 6}, {\"weight\": 17300, \"source\": 0, \"target\": 2}, {\"weight\": 15500, \"source\": 0, \"target\": 1}, {\"weight\": 638, \"source\": 1, \"target\": 8}, {\"weight\": 1424, \"source\": 1, \"target\": 5}, {\"weight\": 6507, \"source\": 1, \"target\": 4}, {\"weight\": 12459, \"source\": 1, \"target\": 7}, {\"weight\": 17734, \"source\": 1, \"target\": 3}, {\"weight\": 14954, \"source\": 1, \"target\": 6}, {\"weight\": 11353, \"source\": 1, \"target\": 2}, {\"weight\": 11141, \"source\": 2, \"target\": 8}, {\"weight\": 10576, \"source\": 2, \"target\": 5}, {\"weight\": 14103, \"source\": 2, \"target\": 4}, {\"weight\": 3265, \"source\": 2, \"target\": 7}, {\"weight\": 15043, \"source\": 2, \"target\": 3}, {\"weight\": 5447, \"source\": 2, \"target\": 6}, {\"weight\": 17559, \"source\": 3, \"target\": 8}, {\"weight\": 17110, \"source\": 3, \"target\": 5}, {\"weight\": 14182, \"source\": 3, \"target\": 4}, {\"weight\": 12225, \"source\": 3, \"target\": 7}, {\"weight\": 11468, \"source\": 3, \"target\": 6}, {\"weight\": 6423, \"source\": 4, \"target\": 8}, {\"weight\": 7209, \"source\": 4, \"target\": 5}, {\"weight\": 13975, \"source\": 4, \"target\": 7}, {\"weight\": 16527, \"source\": 4, \"target\": 6}, {\"weight\": 791, \"source\": 5, \"target\": 8}, {\"weight\": 11732, \"source\": 5, \"target\": 7}, {\"weight\": 14162, \"source\": 5, \"target\": 6}, {\"weight\": 14678, \"source\": 6, \"target\": 8}, {\"weight\": 2664, \"source\": 6, \"target\": 7}, {\"weight\": 12375, \"source\": 7, \"target\": 8}]}",
"id": 76,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SOM, IGD, ROK, BHI, LRM, LYP, DMM, CUR\n- Travel distances (in kilometers) between each pair of airports:\nVBV to CUR: 14864\nVBV to LRM: 14474\nVBV to BHI: 13783\nVBV to DMM: 15057\nVBV to ROK: 3624\nVBV to LYP: 14296\nVBV to IGD: 17300\nVBV to SOM: 15500\nSOM to CUR: 638\nSOM to LRM: 1424\nSOM to BHI: 6507\nSOM to DMM: 12459\nSOM to ROK: 17734\nSOM to LYP: 14954\nSOM to IGD: 11353\nIGD to CUR: 11141\nIGD to LRM: 10576\nIGD to BHI: 14103\nIGD to DMM: 3265\nIGD to ROK: 15043\nIGD to LYP: 5447\nROK to CUR: 17559\nROK to LRM: 17110\nROK to BHI: 14182\nROK to DMM: 12225\nROK to LYP: 11468\nBHI to CUR: 6423\nBHI to LRM: 7209\nBHI to DMM: 13975\nBHI to LYP: 16527\nLRM to CUR: 791\nLRM to DMM: 11732\nLRM to LYP: 14162\nLYP to CUR: 14678\nLYP to DMM: 2664\nDMM to CUR: 12375\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGA, MYA, PSE, MDQ, OWB, BAZ, MQJ, HAA, AEP\n- Travel distances (in kilometers) between each pair of airports:\nCGA to AEP: 12393\nCGA to MDQ: 12775\nCGA to OWB: 4228\nCGA to BAZ: 9830\nCGA to PSE: 7184\nCGA to MQJ: 12672\nCGA to HAA: 9552\nCGA to MYA: 13897\nMYA to AEP: 12723\nMYA to MDQ: 13105\nMYA to OWB: 15154\nMYA to BAZ: 17278\nMYA to PSE: 17523\nMYA to MQJ: 11902\nMYA to HAA: 16859\nPSE to AEP: 9424\nPSE to MDQ: 9806\nPSE to OWB: 3617\nPSE to BAZ: 6474\nPSE to MQJ: 15164\nPSE to HAA: 9330\nMDQ to AEP: 382\nMDQ to OWB: 9082\nMDQ to BAZ: 5080\nMDQ to MQJ: 19247\nMDQ to HAA: 13947\nOWB to AEP: 8700\nOWB to BAZ: 5750\nOWB to MQJ: 13911\nOWB to HAA: 8079\nBAZ to AEP: 4698\nBAZ to MQJ: 16952\nBAZ to HAA: 11477\nMQJ to AEP: 18865\nMQJ to HAA: 7358\nHAA to AEP: 13565\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61316,
"style": "rule"
}
|
{
"exact_answer": 61316,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGA\", \"id\": 0}, {\"name\": \"MYA\", \"id\": 1}, {\"name\": \"PSE\", \"id\": 2}, {\"name\": \"MDQ\", \"id\": 3}, {\"name\": \"OWB\", \"id\": 4}, {\"name\": \"BAZ\", \"id\": 5}, {\"name\": \"MQJ\", \"id\": 6}, {\"name\": \"HAA\", \"id\": 7}, {\"name\": \"AEP\", \"id\": 8}], \"links\": [{\"weight\": 12393, \"source\": 0, \"target\": 8}, {\"weight\": 12775, \"source\": 0, \"target\": 3}, {\"weight\": 4228, \"source\": 0, \"target\": 4}, {\"weight\": 9830, \"source\": 0, \"target\": 5}, {\"weight\": 7184, \"source\": 0, \"target\": 2}, {\"weight\": 12672, \"source\": 0, \"target\": 6}, {\"weight\": 9552, \"source\": 0, \"target\": 7}, {\"weight\": 13897, \"source\": 0, \"target\": 1}, {\"weight\": 12723, \"source\": 1, \"target\": 8}, {\"weight\": 13105, \"source\": 1, \"target\": 3}, {\"weight\": 15154, \"source\": 1, \"target\": 4}, {\"weight\": 17278, \"source\": 1, \"target\": 5}, {\"weight\": 17523, \"source\": 1, \"target\": 2}, {\"weight\": 11902, \"source\": 1, \"target\": 6}, {\"weight\": 16859, \"source\": 1, \"target\": 7}, {\"weight\": 9424, \"source\": 2, \"target\": 8}, {\"weight\": 9806, \"source\": 2, \"target\": 3}, {\"weight\": 3617, \"source\": 2, \"target\": 4}, {\"weight\": 6474, \"source\": 2, \"target\": 5}, {\"weight\": 15164, \"source\": 2, \"target\": 6}, {\"weight\": 9330, \"source\": 2, \"target\": 7}, {\"weight\": 382, \"source\": 3, \"target\": 8}, {\"weight\": 9082, \"source\": 3, \"target\": 4}, {\"weight\": 5080, \"source\": 3, \"target\": 5}, {\"weight\": 19247, \"source\": 3, \"target\": 6}, {\"weight\": 13947, \"source\": 3, \"target\": 7}, {\"weight\": 8700, \"source\": 4, \"target\": 8}, {\"weight\": 5750, \"source\": 4, \"target\": 5}, {\"weight\": 13911, \"source\": 4, \"target\": 6}, {\"weight\": 8079, \"source\": 4, \"target\": 7}, {\"weight\": 4698, \"source\": 5, \"target\": 8}, {\"weight\": 16952, \"source\": 5, \"target\": 6}, {\"weight\": 11477, \"source\": 5, \"target\": 7}, {\"weight\": 18865, \"source\": 6, \"target\": 8}, {\"weight\": 7358, \"source\": 6, \"target\": 7}, {\"weight\": 13565, \"source\": 7, \"target\": 8}]}",
"id": 77,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGA, MYA, PSE, MDQ, OWB, BAZ, MQJ, HAA, AEP\n- Travel distances (in kilometers) between each pair of airports:\nCGA to AEP: 12393\nCGA to MDQ: 12775\nCGA to OWB: 4228\nCGA to BAZ: 9830\nCGA to PSE: 7184\nCGA to MQJ: 12672\nCGA to HAA: 9552\nCGA to MYA: 13897\nMYA to AEP: 12723\nMYA to MDQ: 13105\nMYA to OWB: 15154\nMYA to BAZ: 17278\nMYA to PSE: 17523\nMYA to MQJ: 11902\nMYA to HAA: 16859\nPSE to AEP: 9424\nPSE to MDQ: 9806\nPSE to OWB: 3617\nPSE to BAZ: 6474\nPSE to MQJ: 15164\nPSE to HAA: 9330\nMDQ to AEP: 382\nMDQ to OWB: 9082\nMDQ to BAZ: 5080\nMDQ to MQJ: 19247\nMDQ to HAA: 13947\nOWB to AEP: 8700\nOWB to BAZ: 5750\nOWB to MQJ: 13911\nOWB to HAA: 8079\nBAZ to AEP: 4698\nBAZ to MQJ: 16952\nBAZ to HAA: 11477\nMQJ to AEP: 18865\nMQJ to HAA: 7358\nHAA to AEP: 13565\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LIL, VAW, TMT, SBP, ELU, SFL, AAN, PVR\n- Travel distances (in kilometers) between each pair of airports:\nKLO to PVR: 14048\nKLO to LIL: 11194\nKLO to SBP: 11882\nKLO to TMT: 19922\nKLO to ELU: 12215\nKLO to AAN: 7858\nKLO to SFL: 15457\nKLO to VAW: 11044\nLIL to PVR: 10034\nLIL to SBP: 9770\nLIL to TMT: 9289\nLIL to ELU: 2021\nLIL to AAN: 7780\nLIL to SFL: 4730\nLIL to VAW: 3271\nVAW to PVR: 10544\nVAW to SBP: 9979\nVAW to TMT: 11658\nVAW to ELU: 4601\nVAW to AAN: 8049\nVAW to SFL: 7314\nTMT to PVR: 6392\nTMT to SBP: 8420\nTMT to ELU: 8841\nTMT to AAN: 16311\nTMT to SFL: 4820\nSBP to PVR: 2211\nSBP to ELU: 10839\nSBP to AAN: 15600\nSBP to SFL: 9998\nELU to PVR: 10668\nELU to AAN: 8429\nELU to SFL: 4235\nSFL to PVR: 9557\nSFL to AAN: 11705\nAAN to PVR: 16471\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50739,
"style": "rule"
}
|
{
"exact_answer": 50739,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLO\", \"id\": 0}, {\"name\": \"LIL\", \"id\": 1}, {\"name\": \"VAW\", \"id\": 2}, {\"name\": \"TMT\", \"id\": 3}, {\"name\": \"SBP\", \"id\": 4}, {\"name\": \"ELU\", \"id\": 5}, {\"name\": \"SFL\", \"id\": 6}, {\"name\": \"AAN\", \"id\": 7}, {\"name\": \"PVR\", \"id\": 8}], \"links\": [{\"weight\": 14048, \"source\": 0, \"target\": 8}, {\"weight\": 11194, \"source\": 0, \"target\": 1}, {\"weight\": 11882, \"source\": 0, \"target\": 4}, {\"weight\": 19922, \"source\": 0, \"target\": 3}, {\"weight\": 12215, \"source\": 0, \"target\": 5}, {\"weight\": 7858, \"source\": 0, \"target\": 7}, {\"weight\": 15457, \"source\": 0, \"target\": 6}, {\"weight\": 11044, \"source\": 0, \"target\": 2}, {\"weight\": 10034, \"source\": 1, \"target\": 8}, {\"weight\": 9770, \"source\": 1, \"target\": 4}, {\"weight\": 9289, \"source\": 1, \"target\": 3}, {\"weight\": 2021, \"source\": 1, \"target\": 5}, {\"weight\": 7780, \"source\": 1, \"target\": 7}, {\"weight\": 4730, \"source\": 1, \"target\": 6}, {\"weight\": 3271, \"source\": 1, \"target\": 2}, {\"weight\": 10544, \"source\": 2, \"target\": 8}, {\"weight\": 9979, \"source\": 2, \"target\": 4}, {\"weight\": 11658, \"source\": 2, \"target\": 3}, {\"weight\": 4601, \"source\": 2, \"target\": 5}, {\"weight\": 8049, \"source\": 2, \"target\": 7}, {\"weight\": 7314, \"source\": 2, \"target\": 6}, {\"weight\": 6392, \"source\": 3, \"target\": 8}, {\"weight\": 8420, \"source\": 3, \"target\": 4}, {\"weight\": 8841, \"source\": 3, \"target\": 5}, {\"weight\": 16311, \"source\": 3, \"target\": 7}, {\"weight\": 4820, \"source\": 3, \"target\": 6}, {\"weight\": 2211, \"source\": 4, \"target\": 8}, {\"weight\": 10839, \"source\": 4, \"target\": 5}, {\"weight\": 15600, \"source\": 4, \"target\": 7}, {\"weight\": 9998, \"source\": 4, \"target\": 6}, {\"weight\": 10668, \"source\": 5, \"target\": 8}, {\"weight\": 8429, \"source\": 5, \"target\": 7}, {\"weight\": 4235, \"source\": 5, \"target\": 6}, {\"weight\": 9557, \"source\": 6, \"target\": 8}, {\"weight\": 11705, \"source\": 6, \"target\": 7}, {\"weight\": 16471, \"source\": 7, \"target\": 8}]}",
"id": 78,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LIL, VAW, TMT, SBP, ELU, SFL, AAN, PVR\n- Travel distances (in kilometers) between each pair of airports:\nKLO to PVR: 14048\nKLO to LIL: 11194\nKLO to SBP: 11882\nKLO to TMT: 19922\nKLO to ELU: 12215\nKLO to AAN: 7858\nKLO to SFL: 15457\nKLO to VAW: 11044\nLIL to PVR: 10034\nLIL to SBP: 9770\nLIL to TMT: 9289\nLIL to ELU: 2021\nLIL to AAN: 7780\nLIL to SFL: 4730\nLIL to VAW: 3271\nVAW to PVR: 10544\nVAW to SBP: 9979\nVAW to TMT: 11658\nVAW to ELU: 4601\nVAW to AAN: 8049\nVAW to SFL: 7314\nTMT to PVR: 6392\nTMT to SBP: 8420\nTMT to ELU: 8841\nTMT to AAN: 16311\nTMT to SFL: 4820\nSBP to PVR: 2211\nSBP to ELU: 10839\nSBP to AAN: 15600\nSBP to SFL: 9998\nELU to PVR: 10668\nELU to AAN: 8429\nELU to SFL: 4235\nSFL to PVR: 9557\nSFL to AAN: 11705\nAAN to PVR: 16471\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YQB, DIG, LXR, HRG, YAA, LYC, CGY, IQQ\n- Travel distances (in kilometers) between each pair of airports:\nBEW to LYC: 9778\nBEW to CGY: 12277\nBEW to YQB: 14039\nBEW to HRG: 5776\nBEW to IQQ: 11074\nBEW to DIG: 9818\nBEW to YAA: 17022\nBEW to LXR: 5613\nYQB to LYC: 7201\nYQB to CGY: 14530\nYQB to HRG: 8903\nYQB to IQQ: 7656\nYQB to DIG: 13365\nYQB to YAA: 4304\nYQB to LXR: 8967\nDIG to LYC: 8080\nDIG to CGY: 3508\nDIG to HRG: 6524\nDIG to IQQ: 19174\nDIG to YAA: 10956\nDIG to LXR: 6642\nLXR to LYC: 4491\nLXR to CGY: 9960\nLXR to HRG: 909\nLXR to IQQ: 13462\nLXR to YAA: 11864\nHRG to LYC: 4355\nHRG to CGY: 9924\nHRG to IQQ: 13353\nHRG to YAA: 11755\nYAA to LYC: 8808\nYAA to CGY: 11394\nYAA to IQQ: 10085\nLYC to CGY: 10675\nLYC to IQQ: 12869\nCGY to IQQ: 19068\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56893,
"style": "rule"
}
|
{
"exact_answer": 56893,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BEW\", \"id\": 0}, {\"name\": \"YQB\", \"id\": 1}, {\"name\": \"DIG\", \"id\": 2}, {\"name\": \"LXR\", \"id\": 3}, {\"name\": \"HRG\", \"id\": 4}, {\"name\": \"YAA\", \"id\": 5}, {\"name\": \"LYC\", \"id\": 6}, {\"name\": \"CGY\", \"id\": 7}, {\"name\": \"IQQ\", \"id\": 8}], \"links\": [{\"weight\": 9778, \"source\": 0, \"target\": 6}, {\"weight\": 12277, \"source\": 0, \"target\": 7}, {\"weight\": 14039, \"source\": 0, \"target\": 1}, {\"weight\": 5776, \"source\": 0, \"target\": 4}, {\"weight\": 11074, \"source\": 0, \"target\": 8}, {\"weight\": 9818, \"source\": 0, \"target\": 2}, {\"weight\": 17022, \"source\": 0, \"target\": 5}, {\"weight\": 5613, \"source\": 0, \"target\": 3}, {\"weight\": 7201, \"source\": 1, \"target\": 6}, {\"weight\": 14530, \"source\": 1, \"target\": 7}, {\"weight\": 8903, \"source\": 1, \"target\": 4}, {\"weight\": 7656, \"source\": 1, \"target\": 8}, {\"weight\": 13365, \"source\": 1, \"target\": 2}, {\"weight\": 4304, \"source\": 1, \"target\": 5}, {\"weight\": 8967, \"source\": 1, \"target\": 3}, {\"weight\": 8080, \"source\": 2, \"target\": 6}, {\"weight\": 3508, \"source\": 2, \"target\": 7}, {\"weight\": 6524, \"source\": 2, \"target\": 4}, {\"weight\": 19174, \"source\": 2, \"target\": 8}, {\"weight\": 10956, \"source\": 2, \"target\": 5}, {\"weight\": 6642, \"source\": 2, \"target\": 3}, {\"weight\": 4491, \"source\": 3, \"target\": 6}, {\"weight\": 9960, \"source\": 3, \"target\": 7}, {\"weight\": 909, \"source\": 3, \"target\": 4}, {\"weight\": 13462, \"source\": 3, \"target\": 8}, {\"weight\": 11864, \"source\": 3, \"target\": 5}, {\"weight\": 4355, \"source\": 4, \"target\": 6}, {\"weight\": 9924, \"source\": 4, \"target\": 7}, {\"weight\": 13353, \"source\": 4, \"target\": 8}, {\"weight\": 11755, \"source\": 4, \"target\": 5}, {\"weight\": 8808, \"source\": 5, \"target\": 6}, {\"weight\": 11394, \"source\": 5, \"target\": 7}, {\"weight\": 10085, \"source\": 5, \"target\": 8}, {\"weight\": 10675, \"source\": 6, \"target\": 7}, {\"weight\": 12869, \"source\": 6, \"target\": 8}, {\"weight\": 19068, \"source\": 7, \"target\": 8}]}",
"id": 79,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YQB, DIG, LXR, HRG, YAA, LYC, CGY, IQQ\n- Travel distances (in kilometers) between each pair of airports:\nBEW to LYC: 9778\nBEW to CGY: 12277\nBEW to YQB: 14039\nBEW to HRG: 5776\nBEW to IQQ: 11074\nBEW to DIG: 9818\nBEW to YAA: 17022\nBEW to LXR: 5613\nYQB to LYC: 7201\nYQB to CGY: 14530\nYQB to HRG: 8903\nYQB to IQQ: 7656\nYQB to DIG: 13365\nYQB to YAA: 4304\nYQB to LXR: 8967\nDIG to LYC: 8080\nDIG to CGY: 3508\nDIG to HRG: 6524\nDIG to IQQ: 19174\nDIG to YAA: 10956\nDIG to LXR: 6642\nLXR to LYC: 4491\nLXR to CGY: 9960\nLXR to HRG: 909\nLXR to IQQ: 13462\nLXR to YAA: 11864\nHRG to LYC: 4355\nHRG to CGY: 9924\nHRG to IQQ: 13353\nHRG to YAA: 11755\nYAA to LYC: 8808\nYAA to CGY: 11394\nYAA to IQQ: 10085\nLYC to CGY: 10675\nLYC to IQQ: 12869\nCGY to IQQ: 19068\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, TXL, RIB, ADE, SGU, NSI, ILI, DYG, GCI\n- Travel distances (in kilometers) between each pair of airports:\nMLY to TXL: 10889\nMLY to DYG: 12614\nMLY to RIB: 12478\nMLY to GCI: 10437\nMLY to NSI: 15639\nMLY to SGU: 4133\nMLY to ADE: 16051\nMLY to ILI: 862\nTXL to DYG: 8017\nTXL to RIB: 11852\nTXL to GCI: 1163\nTXL to NSI: 5920\nTXL to SGU: 9045\nTXL to ADE: 5244\nTXL to ILI: 10933\nRIB to DYG: 19553\nRIB to GCI: 11371\nRIB to NSI: 10226\nRIB to SGU: 9086\nRIB to ADE: 13899\nRIB to ILI: 12427\nADE to DYG: 7073\nADE to GCI: 5942\nADE to NSI: 4335\nADE to SGU: 14175\nADE to ILI: 16095\nSGU to DYG: 11549\nSGU to GCI: 8593\nSGU to NSI: 12856\nSGU to ILI: 4158\nNSI to DYG: 10886\nNSI to GCI: 5491\nNSI to ILI: 15401\nILI to DYG: 12658\nILI to GCI: 10481\nDYG to GCI: 9135\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55357,
"style": "rule"
}
|
{
"exact_answer": 55357,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MLY\", \"id\": 0}, {\"name\": \"TXL\", \"id\": 1}, {\"name\": \"RIB\", \"id\": 2}, {\"name\": \"ADE\", \"id\": 3}, {\"name\": \"SGU\", \"id\": 4}, {\"name\": \"NSI\", \"id\": 5}, {\"name\": \"ILI\", \"id\": 6}, {\"name\": \"DYG\", \"id\": 7}, {\"name\": \"GCI\", \"id\": 8}], \"links\": [{\"weight\": 10889, \"source\": 0, \"target\": 1}, {\"weight\": 12614, \"source\": 0, \"target\": 7}, {\"weight\": 12478, \"source\": 0, \"target\": 2}, {\"weight\": 10437, \"source\": 0, \"target\": 8}, {\"weight\": 15639, \"source\": 0, \"target\": 5}, {\"weight\": 4133, \"source\": 0, \"target\": 4}, {\"weight\": 16051, \"source\": 0, \"target\": 3}, {\"weight\": 862, \"source\": 0, \"target\": 6}, {\"weight\": 8017, \"source\": 1, \"target\": 7}, {\"weight\": 11852, \"source\": 1, \"target\": 2}, {\"weight\": 1163, \"source\": 1, \"target\": 8}, {\"weight\": 5920, \"source\": 1, \"target\": 5}, {\"weight\": 9045, \"source\": 1, \"target\": 4}, {\"weight\": 5244, \"source\": 1, \"target\": 3}, {\"weight\": 10933, \"source\": 1, \"target\": 6}, {\"weight\": 19553, \"source\": 2, \"target\": 7}, {\"weight\": 11371, \"source\": 2, \"target\": 8}, {\"weight\": 10226, \"source\": 2, \"target\": 5}, {\"weight\": 9086, \"source\": 2, \"target\": 4}, {\"weight\": 13899, \"source\": 2, \"target\": 3}, {\"weight\": 12427, \"source\": 2, \"target\": 6}, {\"weight\": 7073, \"source\": 3, \"target\": 7}, {\"weight\": 5942, \"source\": 3, \"target\": 8}, {\"weight\": 4335, \"source\": 3, \"target\": 5}, {\"weight\": 14175, \"source\": 3, \"target\": 4}, {\"weight\": 16095, \"source\": 3, \"target\": 6}, {\"weight\": 11549, \"source\": 4, \"target\": 7}, {\"weight\": 8593, \"source\": 4, \"target\": 8}, {\"weight\": 12856, \"source\": 4, \"target\": 5}, {\"weight\": 4158, \"source\": 4, \"target\": 6}, {\"weight\": 10886, \"source\": 5, \"target\": 7}, {\"weight\": 5491, \"source\": 5, \"target\": 8}, {\"weight\": 15401, \"source\": 5, \"target\": 6}, {\"weight\": 12658, \"source\": 6, \"target\": 7}, {\"weight\": 10481, \"source\": 6, \"target\": 8}, {\"weight\": 9135, \"source\": 7, \"target\": 8}]}",
"id": 80,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, TXL, RIB, ADE, SGU, NSI, ILI, DYG, GCI\n- Travel distances (in kilometers) between each pair of airports:\nMLY to TXL: 10889\nMLY to DYG: 12614\nMLY to RIB: 12478\nMLY to GCI: 10437\nMLY to NSI: 15639\nMLY to SGU: 4133\nMLY to ADE: 16051\nMLY to ILI: 862\nTXL to DYG: 8017\nTXL to RIB: 11852\nTXL to GCI: 1163\nTXL to NSI: 5920\nTXL to SGU: 9045\nTXL to ADE: 5244\nTXL to ILI: 10933\nRIB to DYG: 19553\nRIB to GCI: 11371\nRIB to NSI: 10226\nRIB to SGU: 9086\nRIB to ADE: 13899\nRIB to ILI: 12427\nADE to DYG: 7073\nADE to GCI: 5942\nADE to NSI: 4335\nADE to SGU: 14175\nADE to ILI: 16095\nSGU to DYG: 11549\nSGU to GCI: 8593\nSGU to NSI: 12856\nSGU to ILI: 4158\nNSI to DYG: 10886\nNSI to GCI: 5491\nNSI to ILI: 15401\nILI to DYG: 12658\nILI to GCI: 10481\nDYG to GCI: 9135\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OGL, AJF, VLV, RZR, PUQ, OKJ, HAJ, HRM, HHH\n- Travel distances (in kilometers) between each pair of airports:\nOGL to HAJ: 8169\nOGL to VLV: 2006\nOGL to HHH: 4316\nOGL to PUQ: 8674\nOGL to HRM: 9518\nOGL to OKJ: 15869\nOGL to RZR: 12104\nOGL to AJF: 13086\nAJF to HAJ: 5174\nAJF to VLV: 12686\nAJF to HHH: 12279\nAJF to PUQ: 15381\nAJF to HRM: 5161\nAJF to OKJ: 9064\nAJF to RZR: 2265\nVLV to HAJ: 8683\nVLV to HHH: 3860\nVLV to PUQ: 7508\nVLV to HRM: 8448\nVLV to OKJ: 15248\nVLV to RZR: 12334\nRZR to HAJ: 4121\nRZR to HHH: 11390\nRZR to PUQ: 16576\nRZR to HRM: 4878\nRZR to OKJ: 7379\nPUQ to HAJ: 13988\nPUQ to HHH: 10219\nPUQ to HRM: 12973\nPUQ to OKJ: 20632\nOKJ to HAJ: 9056\nOKJ to HHH: 12231\nOKJ to HRM: 11065\nHAJ to HHH: 7316\nHAJ to HRM: 2242\nHRM to HHH: 8049\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56094,
"style": "rule"
}
|
{
"exact_answer": 56094,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OGL\", \"id\": 0}, {\"name\": \"AJF\", \"id\": 1}, {\"name\": \"VLV\", \"id\": 2}, {\"name\": \"RZR\", \"id\": 3}, {\"name\": \"PUQ\", \"id\": 4}, {\"name\": \"OKJ\", \"id\": 5}, {\"name\": \"HAJ\", \"id\": 6}, {\"name\": \"HRM\", \"id\": 7}, {\"name\": \"HHH\", \"id\": 8}], \"links\": [{\"weight\": 8169, \"source\": 0, \"target\": 6}, {\"weight\": 2006, \"source\": 0, \"target\": 2}, {\"weight\": 4316, \"source\": 0, \"target\": 8}, {\"weight\": 8674, \"source\": 0, \"target\": 4}, {\"weight\": 9518, \"source\": 0, \"target\": 7}, {\"weight\": 15869, \"source\": 0, \"target\": 5}, {\"weight\": 12104, \"source\": 0, \"target\": 3}, {\"weight\": 13086, \"source\": 0, \"target\": 1}, {\"weight\": 5174, \"source\": 1, \"target\": 6}, {\"weight\": 12686, \"source\": 1, \"target\": 2}, {\"weight\": 12279, \"source\": 1, \"target\": 8}, {\"weight\": 15381, \"source\": 1, \"target\": 4}, {\"weight\": 5161, \"source\": 1, \"target\": 7}, {\"weight\": 9064, \"source\": 1, \"target\": 5}, {\"weight\": 2265, \"source\": 1, \"target\": 3}, {\"weight\": 8683, \"source\": 2, \"target\": 6}, {\"weight\": 3860, \"source\": 2, \"target\": 8}, {\"weight\": 7508, \"source\": 2, \"target\": 4}, {\"weight\": 8448, \"source\": 2, \"target\": 7}, {\"weight\": 15248, \"source\": 2, \"target\": 5}, {\"weight\": 12334, \"source\": 2, \"target\": 3}, {\"weight\": 4121, \"source\": 3, \"target\": 6}, {\"weight\": 11390, \"source\": 3, \"target\": 8}, {\"weight\": 16576, \"source\": 3, \"target\": 4}, {\"weight\": 4878, \"source\": 3, \"target\": 7}, {\"weight\": 7379, \"source\": 3, \"target\": 5}, {\"weight\": 13988, \"source\": 4, \"target\": 6}, {\"weight\": 10219, \"source\": 4, \"target\": 8}, {\"weight\": 12973, \"source\": 4, \"target\": 7}, {\"weight\": 20632, \"source\": 4, \"target\": 5}, {\"weight\": 9056, \"source\": 5, \"target\": 6}, {\"weight\": 12231, \"source\": 5, \"target\": 8}, {\"weight\": 11065, \"source\": 5, \"target\": 7}, {\"weight\": 7316, \"source\": 6, \"target\": 8}, {\"weight\": 2242, \"source\": 6, \"target\": 7}, {\"weight\": 8049, \"source\": 7, \"target\": 8}]}",
"id": 81,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OGL, AJF, VLV, RZR, PUQ, OKJ, HAJ, HRM, HHH\n- Travel distances (in kilometers) between each pair of airports:\nOGL to HAJ: 8169\nOGL to VLV: 2006\nOGL to HHH: 4316\nOGL to PUQ: 8674\nOGL to HRM: 9518\nOGL to OKJ: 15869\nOGL to RZR: 12104\nOGL to AJF: 13086\nAJF to HAJ: 5174\nAJF to VLV: 12686\nAJF to HHH: 12279\nAJF to PUQ: 15381\nAJF to HRM: 5161\nAJF to OKJ: 9064\nAJF to RZR: 2265\nVLV to HAJ: 8683\nVLV to HHH: 3860\nVLV to PUQ: 7508\nVLV to HRM: 8448\nVLV to OKJ: 15248\nVLV to RZR: 12334\nRZR to HAJ: 4121\nRZR to HHH: 11390\nRZR to PUQ: 16576\nRZR to HRM: 4878\nRZR to OKJ: 7379\nPUQ to HAJ: 13988\nPUQ to HHH: 10219\nPUQ to HRM: 12973\nPUQ to OKJ: 20632\nOKJ to HAJ: 9056\nOKJ to HHH: 12231\nOKJ to HRM: 11065\nHAJ to HHH: 7316\nHAJ to HRM: 2242\nHRM to HHH: 8049\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGF, YQM, YIC, YTL, LRE, BTC, PFQ, YXJ, BWT\n- Travel distances (in kilometers) between each pair of airports:\nKGF to YIC: 5408\nKGF to YXJ: 11147\nKGF to YQM: 9737\nKGF to LRE: 11407\nKGF to PFQ: 3762\nKGF to BWT: 12438\nKGF to BTC: 5007\nKGF to YTL: 11448\nYQM to YIC: 13147\nYQM to YXJ: 4235\nYQM to LRE: 17166\nYQM to PFQ: 9838\nYQM to BWT: 17780\nYQM to BTC: 13674\nYQM to YTL: 2820\nYIC to YXJ: 10672\nYIC to LRE: 7736\nYIC to PFQ: 6914\nYIC to BWT: 8648\nYIC to BTC: 4537\nYIC to YTL: 12558\nYTL to YXJ: 2570\nYTL to LRE: 15581\nYTL to PFQ: 12391\nYTL to BWT: 16237\nYTL to BTC: 15885\nLRE to YXJ: 13695\nLRE to PFQ: 13193\nLRE to BWT: 2747\nLRE to BTC: 8820\nBTC to YXJ: 14666\nBTC to PFQ: 5242\nBTC to BWT: 9116\nPFQ to YXJ: 12184\nPFQ to BWT: 13718\nYXJ to BWT: 14351\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53368,
"style": "rule"
}
|
{
"exact_answer": 53368,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KGF\", \"id\": 0}, {\"name\": \"YQM\", \"id\": 1}, {\"name\": \"YIC\", \"id\": 2}, {\"name\": \"YTL\", \"id\": 3}, {\"name\": \"LRE\", \"id\": 4}, {\"name\": \"BTC\", \"id\": 5}, {\"name\": \"PFQ\", \"id\": 6}, {\"name\": \"YXJ\", \"id\": 7}, {\"name\": \"BWT\", \"id\": 8}], \"links\": [{\"weight\": 5408, \"source\": 0, \"target\": 2}, {\"weight\": 11147, \"source\": 0, \"target\": 7}, {\"weight\": 9737, \"source\": 0, \"target\": 1}, {\"weight\": 11407, \"source\": 0, \"target\": 4}, {\"weight\": 3762, \"source\": 0, \"target\": 6}, {\"weight\": 12438, \"source\": 0, \"target\": 8}, {\"weight\": 5007, \"source\": 0, \"target\": 5}, {\"weight\": 11448, \"source\": 0, \"target\": 3}, {\"weight\": 13147, \"source\": 1, \"target\": 2}, {\"weight\": 4235, \"source\": 1, \"target\": 7}, {\"weight\": 17166, \"source\": 1, \"target\": 4}, {\"weight\": 9838, \"source\": 1, \"target\": 6}, {\"weight\": 17780, \"source\": 1, \"target\": 8}, {\"weight\": 13674, \"source\": 1, \"target\": 5}, {\"weight\": 2820, \"source\": 1, \"target\": 3}, {\"weight\": 10672, \"source\": 2, \"target\": 7}, {\"weight\": 7736, \"source\": 2, \"target\": 4}, {\"weight\": 6914, \"source\": 2, \"target\": 6}, {\"weight\": 8648, \"source\": 2, \"target\": 8}, {\"weight\": 4537, \"source\": 2, \"target\": 5}, {\"weight\": 12558, \"source\": 2, \"target\": 3}, {\"weight\": 2570, \"source\": 3, \"target\": 7}, {\"weight\": 15581, \"source\": 3, \"target\": 4}, {\"weight\": 12391, \"source\": 3, \"target\": 6}, {\"weight\": 16237, \"source\": 3, \"target\": 8}, {\"weight\": 15885, \"source\": 3, \"target\": 5}, {\"weight\": 13695, \"source\": 4, \"target\": 7}, {\"weight\": 13193, \"source\": 4, \"target\": 6}, {\"weight\": 2747, \"source\": 4, \"target\": 8}, {\"weight\": 8820, \"source\": 4, \"target\": 5}, {\"weight\": 14666, \"source\": 5, \"target\": 7}, {\"weight\": 5242, \"source\": 5, \"target\": 6}, {\"weight\": 9116, \"source\": 5, \"target\": 8}, {\"weight\": 12184, \"source\": 6, \"target\": 7}, {\"weight\": 13718, \"source\": 6, \"target\": 8}, {\"weight\": 14351, \"source\": 7, \"target\": 8}]}",
"id": 82,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGF, YQM, YIC, YTL, LRE, BTC, PFQ, YXJ, BWT\n- Travel distances (in kilometers) between each pair of airports:\nKGF to YIC: 5408\nKGF to YXJ: 11147\nKGF to YQM: 9737\nKGF to LRE: 11407\nKGF to PFQ: 3762\nKGF to BWT: 12438\nKGF to BTC: 5007\nKGF to YTL: 11448\nYQM to YIC: 13147\nYQM to YXJ: 4235\nYQM to LRE: 17166\nYQM to PFQ: 9838\nYQM to BWT: 17780\nYQM to BTC: 13674\nYQM to YTL: 2820\nYIC to YXJ: 10672\nYIC to LRE: 7736\nYIC to PFQ: 6914\nYIC to BWT: 8648\nYIC to BTC: 4537\nYIC to YTL: 12558\nYTL to YXJ: 2570\nYTL to LRE: 15581\nYTL to PFQ: 12391\nYTL to BWT: 16237\nYTL to BTC: 15885\nLRE to YXJ: 13695\nLRE to PFQ: 13193\nLRE to BWT: 2747\nLRE to BTC: 8820\nBTC to YXJ: 14666\nBTC to PFQ: 5242\nBTC to BWT: 9116\nPFQ to YXJ: 12184\nPFQ to BWT: 13718\nYXJ to BWT: 14351\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, APN, TUC, SXO, BGI, YCU, TRV, YXY, BIO\n- Travel distances (in kilometers) between each pair of airports:\nHBE to YXY: 11598\nHBE to BIO: 3255\nHBE to TRV: 5481\nHBE to BGI: 10091\nHBE to TUC: 13198\nHBE to YCU: 7525\nHBE to APN: 9727\nHBE to SXO: 11282\nAPN to YXY: 4030\nAPN to BIO: 7062\nAPN to TRV: 14464\nAPN to BGI: 4315\nAPN to TUC: 10452\nAPN to YCU: 11696\nAPN to SXO: 8786\nTUC to YXY: 13789\nTUC to BIO: 11407\nTUC to TRV: 17322\nTUC to BGI: 7062\nTUC to YCU: 20266\nTUC to SXO: 4318\nSXO to YXY: 12286\nSXO to BIO: 8845\nSXO to TRV: 16155\nSXO to BGI: 4728\nSXO to YCU: 17974\nBGI to YXY: 8029\nBGI to BIO: 7811\nBGI to TRV: 15114\nBGI to YCU: 15074\nYCU to YXY: 10705\nYCU to BIO: 9130\nYCU to TRV: 4860\nTRV to YXY: 15495\nTRV to BIO: 8540\nYXY to BIO: 9220\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52871,
"style": "rule"
}
|
{
"exact_answer": 52871,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HBE\", \"id\": 0}, {\"name\": \"APN\", \"id\": 1}, {\"name\": \"TUC\", \"id\": 2}, {\"name\": \"SXO\", \"id\": 3}, {\"name\": \"BGI\", \"id\": 4}, {\"name\": \"YCU\", \"id\": 5}, {\"name\": \"TRV\", \"id\": 6}, {\"name\": \"YXY\", \"id\": 7}, {\"name\": \"BIO\", \"id\": 8}], \"links\": [{\"weight\": 11598, \"source\": 0, \"target\": 7}, {\"weight\": 3255, \"source\": 0, \"target\": 8}, {\"weight\": 5481, \"source\": 0, \"target\": 6}, {\"weight\": 10091, \"source\": 0, \"target\": 4}, {\"weight\": 13198, \"source\": 0, \"target\": 2}, {\"weight\": 7525, \"source\": 0, \"target\": 5}, {\"weight\": 9727, \"source\": 0, \"target\": 1}, {\"weight\": 11282, \"source\": 0, \"target\": 3}, {\"weight\": 4030, \"source\": 1, \"target\": 7}, {\"weight\": 7062, \"source\": 1, \"target\": 8}, {\"weight\": 14464, \"source\": 1, \"target\": 6}, {\"weight\": 4315, \"source\": 1, \"target\": 4}, {\"weight\": 10452, \"source\": 1, \"target\": 2}, {\"weight\": 11696, \"source\": 1, \"target\": 5}, {\"weight\": 8786, \"source\": 1, \"target\": 3}, {\"weight\": 13789, \"source\": 2, \"target\": 7}, {\"weight\": 11407, \"source\": 2, \"target\": 8}, {\"weight\": 17322, \"source\": 2, \"target\": 6}, {\"weight\": 7062, \"source\": 2, \"target\": 4}, {\"weight\": 20266, \"source\": 2, \"target\": 5}, {\"weight\": 4318, \"source\": 2, \"target\": 3}, {\"weight\": 12286, \"source\": 3, \"target\": 7}, {\"weight\": 8845, \"source\": 3, \"target\": 8}, {\"weight\": 16155, \"source\": 3, \"target\": 6}, {\"weight\": 4728, \"source\": 3, \"target\": 4}, {\"weight\": 17974, \"source\": 3, \"target\": 5}, {\"weight\": 8029, \"source\": 4, \"target\": 7}, {\"weight\": 7811, \"source\": 4, \"target\": 8}, {\"weight\": 15114, \"source\": 4, \"target\": 6}, {\"weight\": 15074, \"source\": 4, \"target\": 5}, {\"weight\": 10705, \"source\": 5, \"target\": 7}, {\"weight\": 9130, \"source\": 5, \"target\": 8}, {\"weight\": 4860, \"source\": 5, \"target\": 6}, {\"weight\": 15495, \"source\": 6, \"target\": 7}, {\"weight\": 8540, \"source\": 6, \"target\": 8}, {\"weight\": 9220, \"source\": 7, \"target\": 8}]}",
"id": 83,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, APN, TUC, SXO, BGI, YCU, TRV, YXY, BIO\n- Travel distances (in kilometers) between each pair of airports:\nHBE to YXY: 11598\nHBE to BIO: 3255\nHBE to TRV: 5481\nHBE to BGI: 10091\nHBE to TUC: 13198\nHBE to YCU: 7525\nHBE to APN: 9727\nHBE to SXO: 11282\nAPN to YXY: 4030\nAPN to BIO: 7062\nAPN to TRV: 14464\nAPN to BGI: 4315\nAPN to TUC: 10452\nAPN to YCU: 11696\nAPN to SXO: 8786\nTUC to YXY: 13789\nTUC to BIO: 11407\nTUC to TRV: 17322\nTUC to BGI: 7062\nTUC to YCU: 20266\nTUC to SXO: 4318\nSXO to YXY: 12286\nSXO to BIO: 8845\nSXO to TRV: 16155\nSXO to BGI: 4728\nSXO to YCU: 17974\nBGI to YXY: 8029\nBGI to BIO: 7811\nBGI to TRV: 15114\nBGI to YCU: 15074\nYCU to YXY: 10705\nYCU to BIO: 9130\nYCU to TRV: 4860\nTRV to YXY: 15495\nTRV to BIO: 8540\nYXY to BIO: 9220\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SOW, PUE, PIB, NAJ, LCE, YSB, FPO, ICT\n- Travel distances (in kilometers) between each pair of airports:\nMFE to PIB: 2135\nMFE to FPO: 2214\nMFE to PUE: 3425\nMFE to ICT: 1285\nMFE to YSB: 2909\nMFE to SOW: 2336\nMFE to LCE: 2134\nMFE to NAJ: 11971\nSOW to PIB: 3227\nSOW to FPO: 3529\nSOW to PUE: 4894\nSOW to ICT: 1457\nSOW to YSB: 3233\nSOW to LCE: 3603\nSOW to NAJ: 11820\nPUE to PIB: 3909\nPUE to FPO: 2745\nPUE to ICT: 4138\nPUE to YSB: 4871\nPUE to LCE: 1509\nPUE to NAJ: 13392\nPIB to FPO: 1479\nPIB to ICT: 1774\nPIB to YSB: 2050\nPIB to LCE: 2529\nPIB to NAJ: 11182\nNAJ to FPO: 11112\nNAJ to ICT: 11064\nNAJ to YSB: 9821\nNAJ to LCE: 12336\nLCE to FPO: 1488\nLCE to ICT: 2711\nLCE to YSB: 3541\nYSB to FPO: 2272\nYSB to ICT: 1984\nFPO to ICT: 2215\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 34300,
"style": "rule"
}
|
{
"exact_answer": 34300,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MFE\", \"id\": 0}, {\"name\": \"SOW\", \"id\": 1}, {\"name\": \"PUE\", \"id\": 2}, {\"name\": \"PIB\", \"id\": 3}, {\"name\": \"NAJ\", \"id\": 4}, {\"name\": \"LCE\", \"id\": 5}, {\"name\": \"YSB\", \"id\": 6}, {\"name\": \"FPO\", \"id\": 7}, {\"name\": \"ICT\", \"id\": 8}], \"links\": [{\"weight\": 2135, \"source\": 0, \"target\": 3}, {\"weight\": 2214, \"source\": 0, \"target\": 7}, {\"weight\": 3425, \"source\": 0, \"target\": 2}, {\"weight\": 1285, \"source\": 0, \"target\": 8}, {\"weight\": 2909, \"source\": 0, \"target\": 6}, {\"weight\": 2336, \"source\": 0, \"target\": 1}, {\"weight\": 2134, \"source\": 0, \"target\": 5}, {\"weight\": 11971, \"source\": 0, \"target\": 4}, {\"weight\": 3227, \"source\": 1, \"target\": 3}, {\"weight\": 3529, \"source\": 1, \"target\": 7}, {\"weight\": 4894, \"source\": 1, \"target\": 2}, {\"weight\": 1457, \"source\": 1, \"target\": 8}, {\"weight\": 3233, \"source\": 1, \"target\": 6}, {\"weight\": 3603, \"source\": 1, \"target\": 5}, {\"weight\": 11820, \"source\": 1, \"target\": 4}, {\"weight\": 3909, \"source\": 2, \"target\": 3}, {\"weight\": 2745, \"source\": 2, \"target\": 7}, {\"weight\": 4138, \"source\": 2, \"target\": 8}, {\"weight\": 4871, \"source\": 2, \"target\": 6}, {\"weight\": 1509, \"source\": 2, \"target\": 5}, {\"weight\": 13392, \"source\": 2, \"target\": 4}, {\"weight\": 1479, \"source\": 3, \"target\": 7}, {\"weight\": 1774, \"source\": 3, \"target\": 8}, {\"weight\": 2050, \"source\": 3, \"target\": 6}, {\"weight\": 2529, \"source\": 3, \"target\": 5}, {\"weight\": 11182, \"source\": 3, \"target\": 4}, {\"weight\": 11112, \"source\": 4, \"target\": 7}, {\"weight\": 11064, \"source\": 4, \"target\": 8}, {\"weight\": 9821, \"source\": 4, \"target\": 6}, {\"weight\": 12336, \"source\": 4, \"target\": 5}, {\"weight\": 1488, \"source\": 5, \"target\": 7}, {\"weight\": 2711, \"source\": 5, \"target\": 8}, {\"weight\": 3541, \"source\": 5, \"target\": 6}, {\"weight\": 2272, \"source\": 6, \"target\": 7}, {\"weight\": 1984, \"source\": 6, \"target\": 8}, {\"weight\": 2215, \"source\": 7, \"target\": 8}]}",
"id": 84,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SOW, PUE, PIB, NAJ, LCE, YSB, FPO, ICT\n- Travel distances (in kilometers) between each pair of airports:\nMFE to PIB: 2135\nMFE to FPO: 2214\nMFE to PUE: 3425\nMFE to ICT: 1285\nMFE to YSB: 2909\nMFE to SOW: 2336\nMFE to LCE: 2134\nMFE to NAJ: 11971\nSOW to PIB: 3227\nSOW to FPO: 3529\nSOW to PUE: 4894\nSOW to ICT: 1457\nSOW to YSB: 3233\nSOW to LCE: 3603\nSOW to NAJ: 11820\nPUE to PIB: 3909\nPUE to FPO: 2745\nPUE to ICT: 4138\nPUE to YSB: 4871\nPUE to LCE: 1509\nPUE to NAJ: 13392\nPIB to FPO: 1479\nPIB to ICT: 1774\nPIB to YSB: 2050\nPIB to LCE: 2529\nPIB to NAJ: 11182\nNAJ to FPO: 11112\nNAJ to ICT: 11064\nNAJ to YSB: 9821\nNAJ to LCE: 12336\nLCE to FPO: 1488\nLCE to ICT: 2711\nLCE to YSB: 3541\nYSB to FPO: 2272\nYSB to ICT: 1984\nFPO to ICT: 2215\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDY, AMS, AAY, VHM, FUT, GVR, POG, TUL, MYY\n- Travel distances (in kilometers) between each pair of airports:\nLDY to VHM: 2361\nLDY to AMS: 861\nLDY to TUL: 7262\nLDY to GVR: 9748\nLDY to MYY: 11892\nLDY to POG: 7570\nLDY to AAY: 7055\nLDY to FUT: 18338\nAMS to VHM: 1704\nAMS to TUL: 7552\nAMS to GVR: 9568\nAMS to MYY: 11234\nAMS to POG: 6976\nAMS to AAY: 6222\nAMS to FUT: 17763\nAAY to VHM: 6789\nAAY to TUL: 13756\nAAY to GVR: 12351\nAAY to MYY: 8916\nAAY to POG: 5713\nAAY to FUT: 17242\nVHM to TUL: 8348\nVHM to GVR: 11272\nVHM to MYY: 10875\nVHM to POG: 8536\nVHM to FUT: 17193\nFUT to TUL: 12065\nFUT to GVR: 16209\nFUT to MYY: 9231\nFUT to POG: 18786\nGVR to TUL: 8715\nGVR to MYY: 17961\nGVR to POG: 8616\nPOG to TUL: 12612\nPOG to MYY: 12323\nTUL to MYY: 14582\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64467,
"style": "rule"
}
|
{
"exact_answer": 64467,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LDY\", \"id\": 0}, {\"name\": \"AMS\", \"id\": 1}, {\"name\": \"AAY\", \"id\": 2}, {\"name\": \"VHM\", \"id\": 3}, {\"name\": \"FUT\", \"id\": 4}, {\"name\": \"GVR\", \"id\": 5}, {\"name\": \"POG\", \"id\": 6}, {\"name\": \"TUL\", \"id\": 7}, {\"name\": \"MYY\", \"id\": 8}], \"links\": [{\"weight\": 2361, \"source\": 0, \"target\": 3}, {\"weight\": 861, \"source\": 0, \"target\": 1}, {\"weight\": 7262, \"source\": 0, \"target\": 7}, {\"weight\": 9748, \"source\": 0, \"target\": 5}, {\"weight\": 11892, \"source\": 0, \"target\": 8}, {\"weight\": 7570, \"source\": 0, \"target\": 6}, {\"weight\": 7055, \"source\": 0, \"target\": 2}, {\"weight\": 18338, \"source\": 0, \"target\": 4}, {\"weight\": 1704, \"source\": 1, \"target\": 3}, {\"weight\": 7552, \"source\": 1, \"target\": 7}, {\"weight\": 9568, \"source\": 1, \"target\": 5}, {\"weight\": 11234, \"source\": 1, \"target\": 8}, {\"weight\": 6976, \"source\": 1, \"target\": 6}, {\"weight\": 6222, \"source\": 1, \"target\": 2}, {\"weight\": 17763, \"source\": 1, \"target\": 4}, {\"weight\": 6789, \"source\": 2, \"target\": 3}, {\"weight\": 13756, \"source\": 2, \"target\": 7}, {\"weight\": 12351, \"source\": 2, \"target\": 5}, {\"weight\": 8916, \"source\": 2, \"target\": 8}, {\"weight\": 5713, \"source\": 2, \"target\": 6}, {\"weight\": 17242, \"source\": 2, \"target\": 4}, {\"weight\": 8348, \"source\": 3, \"target\": 7}, {\"weight\": 11272, \"source\": 3, \"target\": 5}, {\"weight\": 10875, \"source\": 3, \"target\": 8}, {\"weight\": 8536, \"source\": 3, \"target\": 6}, {\"weight\": 17193, \"source\": 3, \"target\": 4}, {\"weight\": 12065, \"source\": 4, \"target\": 7}, {\"weight\": 16209, \"source\": 4, \"target\": 5}, {\"weight\": 9231, \"source\": 4, \"target\": 8}, {\"weight\": 18786, \"source\": 4, \"target\": 6}, {\"weight\": 8715, \"source\": 5, \"target\": 7}, {\"weight\": 17961, \"source\": 5, \"target\": 8}, {\"weight\": 8616, \"source\": 5, \"target\": 6}, {\"weight\": 12612, \"source\": 6, \"target\": 7}, {\"weight\": 12323, \"source\": 6, \"target\": 8}, {\"weight\": 14582, \"source\": 7, \"target\": 8}]}",
"id": 85,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDY, AMS, AAY, VHM, FUT, GVR, POG, TUL, MYY\n- Travel distances (in kilometers) between each pair of airports:\nLDY to VHM: 2361\nLDY to AMS: 861\nLDY to TUL: 7262\nLDY to GVR: 9748\nLDY to MYY: 11892\nLDY to POG: 7570\nLDY to AAY: 7055\nLDY to FUT: 18338\nAMS to VHM: 1704\nAMS to TUL: 7552\nAMS to GVR: 9568\nAMS to MYY: 11234\nAMS to POG: 6976\nAMS to AAY: 6222\nAMS to FUT: 17763\nAAY to VHM: 6789\nAAY to TUL: 13756\nAAY to GVR: 12351\nAAY to MYY: 8916\nAAY to POG: 5713\nAAY to FUT: 17242\nVHM to TUL: 8348\nVHM to GVR: 11272\nVHM to MYY: 10875\nVHM to POG: 8536\nVHM to FUT: 17193\nFUT to TUL: 12065\nFUT to GVR: 16209\nFUT to MYY: 9231\nFUT to POG: 18786\nGVR to TUL: 8715\nGVR to MYY: 17961\nGVR to POG: 8616\nPOG to TUL: 12612\nPOG to MYY: 12323\nTUL to MYY: 14582\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFR, KVL, LUK, RDD, UIO, ZIG, NGQ, FKL, SQS\n- Travel distances (in kilometers) between each pair of airports:\nLFR to UIO: 2383\nLFR to KVL: 10259\nLFR to SQS: 3489\nLFR to ZIG: 7839\nLFR to NGQ: 16364\nLFR to LUK: 4273\nLFR to FKL: 4543\nLFR to RDD: 7222\nKVL to UIO: 10050\nKVL to SQS: 7895\nKVL to ZIG: 13093\nKVL to NGQ: 15726\nKVL to LUK: 6017\nKVL to FKL: 6210\nKVL to RDD: 4688\nLUK to UIO: 4469\nLUK to SQS: 2709\nLUK to ZIG: 7723\nLUK to NGQ: 14239\nLUK to FKL: 1067\nLUK to RDD: 3708\nRDD to UIO: 6475\nRDD to SQS: 4449\nRDD to ZIG: 10866\nRDD to NGQ: 13532\nRDD to FKL: 3955\nUIO to SQS: 2451\nUIO to ZIG: 8950\nUIO to NGQ: 17284\nUIO to FKL: 4797\nZIG to SQS: 9360\nZIG to NGQ: 12238\nZIG to FKL: 7242\nNGQ to SQS: 16139\nNGQ to FKL: 13595\nFKL to SQS: 2972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53056,
"style": "rule"
}
|
{
"exact_answer": 53056,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LFR\", \"id\": 0}, {\"name\": \"KVL\", \"id\": 1}, {\"name\": \"LUK\", \"id\": 2}, {\"name\": \"RDD\", \"id\": 3}, {\"name\": \"UIO\", \"id\": 4}, {\"name\": \"ZIG\", \"id\": 5}, {\"name\": \"NGQ\", \"id\": 6}, {\"name\": \"FKL\", \"id\": 7}, {\"name\": \"SQS\", \"id\": 8}], \"links\": [{\"weight\": 2383, \"source\": 0, \"target\": 4}, {\"weight\": 10259, \"source\": 0, \"target\": 1}, {\"weight\": 3489, \"source\": 0, \"target\": 8}, {\"weight\": 7839, \"source\": 0, \"target\": 5}, {\"weight\": 16364, \"source\": 0, \"target\": 6}, {\"weight\": 4273, \"source\": 0, \"target\": 2}, {\"weight\": 4543, \"source\": 0, \"target\": 7}, {\"weight\": 7222, \"source\": 0, \"target\": 3}, {\"weight\": 10050, \"source\": 1, \"target\": 4}, {\"weight\": 7895, \"source\": 1, \"target\": 8}, {\"weight\": 13093, \"source\": 1, \"target\": 5}, {\"weight\": 15726, \"source\": 1, \"target\": 6}, {\"weight\": 6017, \"source\": 1, \"target\": 2}, {\"weight\": 6210, \"source\": 1, \"target\": 7}, {\"weight\": 4688, \"source\": 1, \"target\": 3}, {\"weight\": 4469, \"source\": 2, \"target\": 4}, {\"weight\": 2709, \"source\": 2, \"target\": 8}, {\"weight\": 7723, \"source\": 2, \"target\": 5}, {\"weight\": 14239, \"source\": 2, \"target\": 6}, {\"weight\": 1067, \"source\": 2, \"target\": 7}, {\"weight\": 3708, \"source\": 2, \"target\": 3}, {\"weight\": 6475, \"source\": 3, \"target\": 4}, {\"weight\": 4449, \"source\": 3, \"target\": 8}, {\"weight\": 10866, \"source\": 3, \"target\": 5}, {\"weight\": 13532, \"source\": 3, \"target\": 6}, {\"weight\": 3955, \"source\": 3, \"target\": 7}, {\"weight\": 2451, \"source\": 4, \"target\": 8}, {\"weight\": 8950, \"source\": 4, \"target\": 5}, {\"weight\": 17284, \"source\": 4, \"target\": 6}, {\"weight\": 4797, \"source\": 4, \"target\": 7}, {\"weight\": 9360, \"source\": 5, \"target\": 8}, {\"weight\": 12238, \"source\": 5, \"target\": 6}, {\"weight\": 7242, \"source\": 5, \"target\": 7}, {\"weight\": 16139, \"source\": 6, \"target\": 8}, {\"weight\": 13595, \"source\": 6, \"target\": 7}, {\"weight\": 2972, \"source\": 7, \"target\": 8}]}",
"id": 86,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFR, KVL, LUK, RDD, UIO, ZIG, NGQ, FKL, SQS\n- Travel distances (in kilometers) between each pair of airports:\nLFR to UIO: 2383\nLFR to KVL: 10259\nLFR to SQS: 3489\nLFR to ZIG: 7839\nLFR to NGQ: 16364\nLFR to LUK: 4273\nLFR to FKL: 4543\nLFR to RDD: 7222\nKVL to UIO: 10050\nKVL to SQS: 7895\nKVL to ZIG: 13093\nKVL to NGQ: 15726\nKVL to LUK: 6017\nKVL to FKL: 6210\nKVL to RDD: 4688\nLUK to UIO: 4469\nLUK to SQS: 2709\nLUK to ZIG: 7723\nLUK to NGQ: 14239\nLUK to FKL: 1067\nLUK to RDD: 3708\nRDD to UIO: 6475\nRDD to SQS: 4449\nRDD to ZIG: 10866\nRDD to NGQ: 13532\nRDD to FKL: 3955\nUIO to SQS: 2451\nUIO to ZIG: 8950\nUIO to NGQ: 17284\nUIO to FKL: 4797\nZIG to SQS: 9360\nZIG to NGQ: 12238\nZIG to FKL: 7242\nNGQ to SQS: 16139\nNGQ to FKL: 13595\nFKL to SQS: 2972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDL, SDV, ATH, USM, DOK, RGN, PWM, TRU, NCL\n- Travel distances (in kilometers) between each pair of airports:\nPDL to RGN: 11490\nPDL to ATH: 4310\nPDL to SDV: 6042\nPDL to PWM: 4573\nPDL to NCL: 2936\nPDL to USM: 12493\nPDL to DOK: 5170\nPDL to TRU: 9900\nSDV to RGN: 6950\nSDV to ATH: 1749\nSDV to PWM: 10102\nSDV to NCL: 4388\nSDV to USM: 7863\nSDV to DOK: 2358\nSDV to TRU: 14113\nATH to RGN: 7338\nATH to PWM: 8371\nATH to NCL: 2702\nATH to USM: 8406\nATH to DOK: 1588\nATH to TRU: 12391\nUSM to RGN: 1076\nUSM to PWM: 15198\nUSM to NCL: 10009\nUSM to DOK: 7618\nUSM to TRU: 20673\nDOK to RGN: 6544\nDOK to PWM: 8528\nDOK to NCL: 2849\nDOK to TRU: 13352\nRGN to PWM: 14531\nRGN to NCL: 9085\nRGN to TRU: 19614\nPWM to NCL: 5847\nPWM to TRU: 6793\nTRU to NCL: 11172\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46774,
"style": "rule"
}
|
{
"exact_answer": 46774,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDL\", \"id\": 0}, {\"name\": \"SDV\", \"id\": 1}, {\"name\": \"ATH\", \"id\": 2}, {\"name\": \"USM\", \"id\": 3}, {\"name\": \"DOK\", \"id\": 4}, {\"name\": \"RGN\", \"id\": 5}, {\"name\": \"PWM\", \"id\": 6}, {\"name\": \"TRU\", \"id\": 7}, {\"name\": \"NCL\", \"id\": 8}], \"links\": [{\"weight\": 11490, \"source\": 0, \"target\": 5}, {\"weight\": 4310, \"source\": 0, \"target\": 2}, {\"weight\": 6042, \"source\": 0, \"target\": 1}, {\"weight\": 4573, \"source\": 0, \"target\": 6}, {\"weight\": 2936, \"source\": 0, \"target\": 8}, {\"weight\": 12493, \"source\": 0, \"target\": 3}, {\"weight\": 5170, \"source\": 0, \"target\": 4}, {\"weight\": 9900, \"source\": 0, \"target\": 7}, {\"weight\": 6950, \"source\": 1, \"target\": 5}, {\"weight\": 1749, \"source\": 1, \"target\": 2}, {\"weight\": 10102, \"source\": 1, \"target\": 6}, {\"weight\": 4388, \"source\": 1, \"target\": 8}, {\"weight\": 7863, \"source\": 1, \"target\": 3}, {\"weight\": 2358, \"source\": 1, \"target\": 4}, {\"weight\": 14113, \"source\": 1, \"target\": 7}, {\"weight\": 7338, \"source\": 2, \"target\": 5}, {\"weight\": 8371, \"source\": 2, \"target\": 6}, {\"weight\": 2702, \"source\": 2, \"target\": 8}, {\"weight\": 8406, \"source\": 2, \"target\": 3}, {\"weight\": 1588, \"source\": 2, \"target\": 4}, {\"weight\": 12391, \"source\": 2, \"target\": 7}, {\"weight\": 1076, \"source\": 3, \"target\": 5}, {\"weight\": 15198, \"source\": 3, \"target\": 6}, {\"weight\": 10009, \"source\": 3, \"target\": 8}, {\"weight\": 7618, \"source\": 3, \"target\": 4}, {\"weight\": 20673, \"source\": 3, \"target\": 7}, {\"weight\": 6544, \"source\": 4, \"target\": 5}, {\"weight\": 8528, \"source\": 4, \"target\": 6}, {\"weight\": 2849, \"source\": 4, \"target\": 8}, {\"weight\": 13352, \"source\": 4, \"target\": 7}, {\"weight\": 14531, \"source\": 5, \"target\": 6}, {\"weight\": 9085, \"source\": 5, \"target\": 8}, {\"weight\": 19614, \"source\": 5, \"target\": 7}, {\"weight\": 5847, \"source\": 6, \"target\": 8}, {\"weight\": 6793, \"source\": 6, \"target\": 7}, {\"weight\": 11172, \"source\": 7, \"target\": 8}]}",
"id": 87,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDL, SDV, ATH, USM, DOK, RGN, PWM, TRU, NCL\n- Travel distances (in kilometers) between each pair of airports:\nPDL to RGN: 11490\nPDL to ATH: 4310\nPDL to SDV: 6042\nPDL to PWM: 4573\nPDL to NCL: 2936\nPDL to USM: 12493\nPDL to DOK: 5170\nPDL to TRU: 9900\nSDV to RGN: 6950\nSDV to ATH: 1749\nSDV to PWM: 10102\nSDV to NCL: 4388\nSDV to USM: 7863\nSDV to DOK: 2358\nSDV to TRU: 14113\nATH to RGN: 7338\nATH to PWM: 8371\nATH to NCL: 2702\nATH to USM: 8406\nATH to DOK: 1588\nATH to TRU: 12391\nUSM to RGN: 1076\nUSM to PWM: 15198\nUSM to NCL: 10009\nUSM to DOK: 7618\nUSM to TRU: 20673\nDOK to RGN: 6544\nDOK to PWM: 8528\nDOK to NCL: 2849\nDOK to TRU: 13352\nRGN to PWM: 14531\nRGN to NCL: 9085\nRGN to TRU: 19614\nPWM to NCL: 5847\nPWM to TRU: 6793\nTRU to NCL: 11172\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMP, AMS, EDI, BZL, NBX, TBZ, ALA, MCG, SMF\n- Travel distances (in kilometers) between each pair of airports:\nRMP to AMS: 10432\nRMP to MCG: 901\nRMP to BZL: 14756\nRMP to EDI: 9787\nRMP to ALA: 14542\nRMP to SMF: 3567\nRMP to TBZ: 14045\nRMP to NBX: 17545\nAMS to ALA: 5256\nAMS to EDI: 666\nAMS to MCG: 10517\nAMS to BZL: 7903\nAMS to SMF: 8798\nAMS to TBZ: 3729\nAMS to NBX: 14162\nEDI to MCG: 9872\nEDI to BZL: 8379\nEDI to ALA: 5619\nEDI to SMF: 8170\nEDI to TBZ: 4376\nEDI to NBX: 14516\nBZL to MCG: 14841\nBZL to ALA: 3183\nBZL to SMF: 13116\nBZL to TBZ: 4613\nBZL to NBX: 6663\nNBX to MCG: 17597\nNBX to ALA: 9065\nNBX to SMF: 15616\nNBX to TBZ: 10880\nTBZ to MCG: 14130\nTBZ to ALA: 2664\nTBZ to SMF: 12428\nALA to MCG: 14627\nALA to SMF: 12902\nMCG to SMF: 3598\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46807,
"style": "rule"
}
|
{
"exact_answer": 46807,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RMP\", \"id\": 0}, {\"name\": \"AMS\", \"id\": 1}, {\"name\": \"EDI\", \"id\": 2}, {\"name\": \"BZL\", \"id\": 3}, {\"name\": \"NBX\", \"id\": 4}, {\"name\": \"TBZ\", \"id\": 5}, {\"name\": \"ALA\", \"id\": 6}, {\"name\": \"MCG\", \"id\": 7}, {\"name\": \"SMF\", \"id\": 8}], \"links\": [{\"weight\": 10432, \"source\": 0, \"target\": 1}, {\"weight\": 901, \"source\": 0, \"target\": 7}, {\"weight\": 14756, \"source\": 0, \"target\": 3}, {\"weight\": 9787, \"source\": 0, \"target\": 2}, {\"weight\": 14542, \"source\": 0, \"target\": 6}, {\"weight\": 3567, \"source\": 0, \"target\": 8}, {\"weight\": 14045, \"source\": 0, \"target\": 5}, {\"weight\": 17545, \"source\": 0, \"target\": 4}, {\"weight\": 5256, \"source\": 1, \"target\": 6}, {\"weight\": 666, \"source\": 1, \"target\": 2}, {\"weight\": 10517, \"source\": 1, \"target\": 7}, {\"weight\": 7903, \"source\": 1, \"target\": 3}, {\"weight\": 8798, \"source\": 1, \"target\": 8}, {\"weight\": 3729, \"source\": 1, \"target\": 5}, {\"weight\": 14162, \"source\": 1, \"target\": 4}, {\"weight\": 9872, \"source\": 2, \"target\": 7}, {\"weight\": 8379, \"source\": 2, \"target\": 3}, {\"weight\": 5619, \"source\": 2, \"target\": 6}, {\"weight\": 8170, \"source\": 2, \"target\": 8}, {\"weight\": 4376, \"source\": 2, \"target\": 5}, {\"weight\": 14516, \"source\": 2, \"target\": 4}, {\"weight\": 14841, \"source\": 3, \"target\": 7}, {\"weight\": 3183, \"source\": 3, \"target\": 6}, {\"weight\": 13116, \"source\": 3, \"target\": 8}, {\"weight\": 4613, \"source\": 3, \"target\": 5}, {\"weight\": 6663, \"source\": 3, \"target\": 4}, {\"weight\": 17597, \"source\": 4, \"target\": 7}, {\"weight\": 9065, \"source\": 4, \"target\": 6}, {\"weight\": 15616, \"source\": 4, \"target\": 8}, {\"weight\": 10880, \"source\": 4, \"target\": 5}, {\"weight\": 14130, \"source\": 5, \"target\": 7}, {\"weight\": 2664, \"source\": 5, \"target\": 6}, {\"weight\": 12428, \"source\": 5, \"target\": 8}, {\"weight\": 14627, \"source\": 6, \"target\": 7}, {\"weight\": 12902, \"source\": 6, \"target\": 8}, {\"weight\": 3598, \"source\": 7, \"target\": 8}]}",
"id": 88,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMP, AMS, EDI, BZL, NBX, TBZ, ALA, MCG, SMF\n- Travel distances (in kilometers) between each pair of airports:\nRMP to AMS: 10432\nRMP to MCG: 901\nRMP to BZL: 14756\nRMP to EDI: 9787\nRMP to ALA: 14542\nRMP to SMF: 3567\nRMP to TBZ: 14045\nRMP to NBX: 17545\nAMS to ALA: 5256\nAMS to EDI: 666\nAMS to MCG: 10517\nAMS to BZL: 7903\nAMS to SMF: 8798\nAMS to TBZ: 3729\nAMS to NBX: 14162\nEDI to MCG: 9872\nEDI to BZL: 8379\nEDI to ALA: 5619\nEDI to SMF: 8170\nEDI to TBZ: 4376\nEDI to NBX: 14516\nBZL to MCG: 14841\nBZL to ALA: 3183\nBZL to SMF: 13116\nBZL to TBZ: 4613\nBZL to NBX: 6663\nNBX to MCG: 17597\nNBX to ALA: 9065\nNBX to SMF: 15616\nNBX to TBZ: 10880\nTBZ to MCG: 14130\nTBZ to ALA: 2664\nTBZ to SMF: 12428\nALA to MCG: 14627\nALA to SMF: 12902\nMCG to SMF: 3598\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNZ, BKG, TOL, DNR, LEN, VIG, HAU, LGG, EBA\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to EBA: 2557\nDNZ to TOL: 9510\nDNZ to LGG: 2829\nDNZ to HAU: 2972\nDNZ to BKG: 10001\nDNZ to DNR: 3069\nDNZ to LEN: 3241\nDNZ to VIG: 10632\nBKG to EBA: 8448\nBKG to TOL: 1833\nBKG to LGG: 8165\nBKG to HAU: 7222\nBKG to DNR: 7330\nBKG to LEN: 8519\nBKG to VIG: 5064\nTOL to EBA: 7967\nTOL to LGG: 7684\nTOL to HAU: 6806\nTOL to DNR: 6849\nTOL to LEN: 8108\nTOL to VIG: 4538\nDNR to EBA: 1493\nDNR to LGG: 1390\nDNR to HAU: 1286\nDNR to LEN: 1997\nDNR to VIG: 8516\nLEN to EBA: 1923\nLEN to LGG: 1854\nLEN to HAU: 2725\nLEN to VIG: 8701\nVIG to EBA: 9204\nVIG to LGG: 8701\nVIG to HAU: 9091\nHAU to EBA: 1887\nHAU to LGG: 2021\nLGG to EBA: 1463\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 32231,
"style": "rule"
}
|
{
"exact_answer": 32231,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DNZ\", \"id\": 0}, {\"name\": \"BKG\", \"id\": 1}, {\"name\": \"TOL\", \"id\": 2}, {\"name\": \"DNR\", \"id\": 3}, {\"name\": \"LEN\", \"id\": 4}, {\"name\": \"VIG\", \"id\": 5}, {\"name\": \"HAU\", \"id\": 6}, {\"name\": \"LGG\", \"id\": 7}, {\"name\": \"EBA\", \"id\": 8}], \"links\": [{\"weight\": 2557, \"source\": 0, \"target\": 8}, {\"weight\": 9510, \"source\": 0, \"target\": 2}, {\"weight\": 2829, \"source\": 0, \"target\": 7}, {\"weight\": 2972, \"source\": 0, \"target\": 6}, {\"weight\": 10001, \"source\": 0, \"target\": 1}, {\"weight\": 3069, \"source\": 0, \"target\": 3}, {\"weight\": 3241, \"source\": 0, \"target\": 4}, {\"weight\": 10632, \"source\": 0, \"target\": 5}, {\"weight\": 8448, \"source\": 1, \"target\": 8}, {\"weight\": 1833, \"source\": 1, \"target\": 2}, {\"weight\": 8165, \"source\": 1, \"target\": 7}, {\"weight\": 7222, \"source\": 1, \"target\": 6}, {\"weight\": 7330, \"source\": 1, \"target\": 3}, {\"weight\": 8519, \"source\": 1, \"target\": 4}, {\"weight\": 5064, \"source\": 1, \"target\": 5}, {\"weight\": 7967, \"source\": 2, \"target\": 8}, {\"weight\": 7684, \"source\": 2, \"target\": 7}, {\"weight\": 6806, \"source\": 2, \"target\": 6}, {\"weight\": 6849, \"source\": 2, \"target\": 3}, {\"weight\": 8108, \"source\": 2, \"target\": 4}, {\"weight\": 4538, \"source\": 2, \"target\": 5}, {\"weight\": 1493, \"source\": 3, \"target\": 8}, {\"weight\": 1390, \"source\": 3, \"target\": 7}, {\"weight\": 1286, \"source\": 3, \"target\": 6}, {\"weight\": 1997, \"source\": 3, \"target\": 4}, {\"weight\": 8516, \"source\": 3, \"target\": 5}, {\"weight\": 1923, \"source\": 4, \"target\": 8}, {\"weight\": 1854, \"source\": 4, \"target\": 7}, {\"weight\": 2725, \"source\": 4, \"target\": 6}, {\"weight\": 8701, \"source\": 4, \"target\": 5}, {\"weight\": 9204, \"source\": 5, \"target\": 8}, {\"weight\": 8701, \"source\": 5, \"target\": 7}, {\"weight\": 9091, \"source\": 5, \"target\": 6}, {\"weight\": 1887, \"source\": 6, \"target\": 8}, {\"weight\": 2021, \"source\": 6, \"target\": 7}, {\"weight\": 1463, \"source\": 7, \"target\": 8}]}",
"id": 89,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNZ, BKG, TOL, DNR, LEN, VIG, HAU, LGG, EBA\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to EBA: 2557\nDNZ to TOL: 9510\nDNZ to LGG: 2829\nDNZ to HAU: 2972\nDNZ to BKG: 10001\nDNZ to DNR: 3069\nDNZ to LEN: 3241\nDNZ to VIG: 10632\nBKG to EBA: 8448\nBKG to TOL: 1833\nBKG to LGG: 8165\nBKG to HAU: 7222\nBKG to DNR: 7330\nBKG to LEN: 8519\nBKG to VIG: 5064\nTOL to EBA: 7967\nTOL to LGG: 7684\nTOL to HAU: 6806\nTOL to DNR: 6849\nTOL to LEN: 8108\nTOL to VIG: 4538\nDNR to EBA: 1493\nDNR to LGG: 1390\nDNR to HAU: 1286\nDNR to LEN: 1997\nDNR to VIG: 8516\nLEN to EBA: 1923\nLEN to LGG: 1854\nLEN to HAU: 2725\nLEN to VIG: 8701\nVIG to EBA: 9204\nVIG to LGG: 8701\nVIG to HAU: 9091\nHAU to EBA: 1887\nHAU to LGG: 2021\nLGG to EBA: 1463\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDP, LGL, YAP, RBQ, SGU, CLJ, YGW, AYP, TMI\n- Travel distances (in kilometers) between each pair of airports:\nPDP to AYP: 3795\nPDP to YGW: 10914\nPDP to CLJ: 12573\nPDP to SGU: 10738\nPDP to LGL: 19415\nPDP to YAP: 18956\nPDP to TMI: 17332\nPDP to RBQ: 3163\nLGL to AYP: 20332\nLGL to YGW: 15286\nLGL to CLJ: 10460\nLGL to SGU: 13770\nLGL to YAP: 3663\nLGL to TMI: 4604\nLGL to RBQ: 20050\nYAP to AYP: 18078\nYAP to YGW: 14074\nYAP to CLJ: 12042\nYAP to SGU: 12210\nYAP to TMI: 6377\nYAP to RBQ: 19065\nRBQ to AYP: 1667\nRBQ to YGW: 8351\nRBQ to CLJ: 11999\nRBQ to SGU: 8490\nRBQ to TMI: 17903\nSGU to AYP: 7623\nSGU to YGW: 3661\nSGU to CLJ: 10071\nSGU to TMI: 13586\nCLJ to AYP: 12155\nCLJ to YGW: 8043\nCLJ to TMI: 6248\nYGW to AYP: 7868\nYGW to TMI: 13946\nAYP to TMI: 18059\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55657,
"style": "rule"
}
|
{
"exact_answer": 55657,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDP\", \"id\": 0}, {\"name\": \"LGL\", \"id\": 1}, {\"name\": \"YAP\", \"id\": 2}, {\"name\": \"RBQ\", \"id\": 3}, {\"name\": \"SGU\", \"id\": 4}, {\"name\": \"CLJ\", \"id\": 5}, {\"name\": \"YGW\", \"id\": 6}, {\"name\": \"AYP\", \"id\": 7}, {\"name\": \"TMI\", \"id\": 8}], \"links\": [{\"weight\": 3795, \"source\": 0, \"target\": 7}, {\"weight\": 10914, \"source\": 0, \"target\": 6}, {\"weight\": 12573, \"source\": 0, \"target\": 5}, {\"weight\": 10738, \"source\": 0, \"target\": 4}, {\"weight\": 19415, \"source\": 0, \"target\": 1}, {\"weight\": 18956, \"source\": 0, \"target\": 2}, {\"weight\": 17332, \"source\": 0, \"target\": 8}, {\"weight\": 3163, \"source\": 0, \"target\": 3}, {\"weight\": 20332, \"source\": 1, \"target\": 7}, {\"weight\": 15286, \"source\": 1, \"target\": 6}, {\"weight\": 10460, \"source\": 1, \"target\": 5}, {\"weight\": 13770, \"source\": 1, \"target\": 4}, {\"weight\": 3663, \"source\": 1, \"target\": 2}, {\"weight\": 4604, \"source\": 1, \"target\": 8}, {\"weight\": 20050, \"source\": 1, \"target\": 3}, {\"weight\": 18078, \"source\": 2, \"target\": 7}, {\"weight\": 14074, \"source\": 2, \"target\": 6}, {\"weight\": 12042, \"source\": 2, \"target\": 5}, {\"weight\": 12210, \"source\": 2, \"target\": 4}, {\"weight\": 6377, \"source\": 2, \"target\": 8}, {\"weight\": 19065, \"source\": 2, \"target\": 3}, {\"weight\": 1667, \"source\": 3, \"target\": 7}, {\"weight\": 8351, \"source\": 3, \"target\": 6}, {\"weight\": 11999, \"source\": 3, \"target\": 5}, {\"weight\": 8490, \"source\": 3, \"target\": 4}, {\"weight\": 17903, \"source\": 3, \"target\": 8}, {\"weight\": 7623, \"source\": 4, \"target\": 7}, {\"weight\": 3661, \"source\": 4, \"target\": 6}, {\"weight\": 10071, \"source\": 4, \"target\": 5}, {\"weight\": 13586, \"source\": 4, \"target\": 8}, {\"weight\": 12155, \"source\": 5, \"target\": 7}, {\"weight\": 8043, \"source\": 5, \"target\": 6}, {\"weight\": 6248, \"source\": 5, \"target\": 8}, {\"weight\": 7868, \"source\": 6, \"target\": 7}, {\"weight\": 13946, \"source\": 6, \"target\": 8}, {\"weight\": 18059, \"source\": 7, \"target\": 8}]}",
"id": 90,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDP, LGL, YAP, RBQ, SGU, CLJ, YGW, AYP, TMI\n- Travel distances (in kilometers) between each pair of airports:\nPDP to AYP: 3795\nPDP to YGW: 10914\nPDP to CLJ: 12573\nPDP to SGU: 10738\nPDP to LGL: 19415\nPDP to YAP: 18956\nPDP to TMI: 17332\nPDP to RBQ: 3163\nLGL to AYP: 20332\nLGL to YGW: 15286\nLGL to CLJ: 10460\nLGL to SGU: 13770\nLGL to YAP: 3663\nLGL to TMI: 4604\nLGL to RBQ: 20050\nYAP to AYP: 18078\nYAP to YGW: 14074\nYAP to CLJ: 12042\nYAP to SGU: 12210\nYAP to TMI: 6377\nYAP to RBQ: 19065\nRBQ to AYP: 1667\nRBQ to YGW: 8351\nRBQ to CLJ: 11999\nRBQ to SGU: 8490\nRBQ to TMI: 17903\nSGU to AYP: 7623\nSGU to YGW: 3661\nSGU to CLJ: 10071\nSGU to TMI: 13586\nCLJ to AYP: 12155\nCLJ to YGW: 8043\nCLJ to TMI: 6248\nYGW to AYP: 7868\nYGW to TMI: 13946\nAYP to TMI: 18059\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCY, USU, JSU, DAC, UCT, EAM, IRG, OPS, AJA\n- Travel distances (in kilometers) between each pair of airports:\nRCY to OPS: 6655\nRCY to UCT: 10239\nRCY to DAC: 15252\nRCY to USU: 15811\nRCY to AJA: 8554\nRCY to JSU: 7743\nRCY to IRG: 17677\nRCY to EAM: 12743\nUSU to OPS: 20476\nUSU to UCT: 8307\nUSU to DAC: 3837\nUSU to AJA: 11087\nUSU to JSU: 13229\nUSU to IRG: 5218\nUSU to EAM: 8863\nJSU to OPS: 13063\nJSU to UCT: 5592\nJSU to DAC: 10639\nJSU to AJA: 4713\nJSU to IRG: 17895\nJSU to EAM: 8707\nDAC to OPS: 17085\nDAC to UCT: 5875\nDAC to AJA: 7696\nDAC to IRG: 8438\nDAC to EAM: 5210\nUCT to OPS: 13126\nUCT to AJA: 3902\nUCT to IRG: 12973\nUCT to EAM: 5675\nEAM to OPS: 12796\nEAM to AJA: 4451\nEAM to IRG: 13064\nIRG to OPS: 17916\nIRG to AJA: 15753\nOPS to AJA: 9802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60524,
"style": "rule"
}
|
{
"exact_answer": 60524,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RCY\", \"id\": 0}, {\"name\": \"USU\", \"id\": 1}, {\"name\": \"JSU\", \"id\": 2}, {\"name\": \"DAC\", \"id\": 3}, {\"name\": \"UCT\", \"id\": 4}, {\"name\": \"EAM\", \"id\": 5}, {\"name\": \"IRG\", \"id\": 6}, {\"name\": \"OPS\", \"id\": 7}, {\"name\": \"AJA\", \"id\": 8}], \"links\": [{\"weight\": 6655, \"source\": 0, \"target\": 7}, {\"weight\": 10239, \"source\": 0, \"target\": 4}, {\"weight\": 15252, \"source\": 0, \"target\": 3}, {\"weight\": 15811, \"source\": 0, \"target\": 1}, {\"weight\": 8554, \"source\": 0, \"target\": 8}, {\"weight\": 7743, \"source\": 0, \"target\": 2}, {\"weight\": 17677, \"source\": 0, \"target\": 6}, {\"weight\": 12743, \"source\": 0, \"target\": 5}, {\"weight\": 20476, \"source\": 1, \"target\": 7}, {\"weight\": 8307, \"source\": 1, \"target\": 4}, {\"weight\": 3837, \"source\": 1, \"target\": 3}, {\"weight\": 11087, \"source\": 1, \"target\": 8}, {\"weight\": 13229, \"source\": 1, \"target\": 2}, {\"weight\": 5218, \"source\": 1, \"target\": 6}, {\"weight\": 8863, \"source\": 1, \"target\": 5}, {\"weight\": 13063, \"source\": 2, \"target\": 7}, {\"weight\": 5592, \"source\": 2, \"target\": 4}, {\"weight\": 10639, \"source\": 2, \"target\": 3}, {\"weight\": 4713, \"source\": 2, \"target\": 8}, {\"weight\": 17895, \"source\": 2, \"target\": 6}, {\"weight\": 8707, \"source\": 2, \"target\": 5}, {\"weight\": 17085, \"source\": 3, \"target\": 7}, {\"weight\": 5875, \"source\": 3, \"target\": 4}, {\"weight\": 7696, \"source\": 3, \"target\": 8}, {\"weight\": 8438, \"source\": 3, \"target\": 6}, {\"weight\": 5210, \"source\": 3, \"target\": 5}, {\"weight\": 13126, \"source\": 4, \"target\": 7}, {\"weight\": 3902, \"source\": 4, \"target\": 8}, {\"weight\": 12973, \"source\": 4, \"target\": 6}, {\"weight\": 5675, \"source\": 4, \"target\": 5}, {\"weight\": 12796, \"source\": 5, \"target\": 7}, {\"weight\": 4451, \"source\": 5, \"target\": 8}, {\"weight\": 13064, \"source\": 5, \"target\": 6}, {\"weight\": 17916, \"source\": 6, \"target\": 7}, {\"weight\": 15753, \"source\": 6, \"target\": 8}, {\"weight\": 9802, \"source\": 7, \"target\": 8}]}",
"id": 91,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RCY, USU, JSU, DAC, UCT, EAM, IRG, OPS, AJA\n- Travel distances (in kilometers) between each pair of airports:\nRCY to OPS: 6655\nRCY to UCT: 10239\nRCY to DAC: 15252\nRCY to USU: 15811\nRCY to AJA: 8554\nRCY to JSU: 7743\nRCY to IRG: 17677\nRCY to EAM: 12743\nUSU to OPS: 20476\nUSU to UCT: 8307\nUSU to DAC: 3837\nUSU to AJA: 11087\nUSU to JSU: 13229\nUSU to IRG: 5218\nUSU to EAM: 8863\nJSU to OPS: 13063\nJSU to UCT: 5592\nJSU to DAC: 10639\nJSU to AJA: 4713\nJSU to IRG: 17895\nJSU to EAM: 8707\nDAC to OPS: 17085\nDAC to UCT: 5875\nDAC to AJA: 7696\nDAC to IRG: 8438\nDAC to EAM: 5210\nUCT to OPS: 13126\nUCT to AJA: 3902\nUCT to IRG: 12973\nUCT to EAM: 5675\nEAM to OPS: 12796\nEAM to AJA: 4451\nEAM to IRG: 13064\nIRG to OPS: 17916\nIRG to AJA: 15753\nOPS to AJA: 9802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YCO, ATL, KRY, CRL, ADD, EBL, KBU, YZG, HGA\n- Travel distances (in kilometers) between each pair of airports:\nYCO to YZG: 4225\nYCO to ATL: 4817\nYCO to ADD: 14286\nYCO to HGA: 14486\nYCO to KRY: 13625\nYCO to EBL: 11863\nYCO to CRL: 8721\nYCO to KBU: 15393\nATL to YZG: 3556\nATL to ADD: 12421\nATL to HGA: 12895\nATL to KRY: 12664\nATL to EBL: 10600\nATL to CRL: 7125\nATL to KBU: 16592\nKRY to YZG: 12772\nKRY to ADD: 6407\nKRY to HGA: 6007\nKRY to EBL: 4153\nKRY to CRL: 6263\nKRY to KBU: 6965\nCRL to YZG: 7061\nCRL to ADD: 5615\nCRL to HGA: 5862\nCRL to EBL: 3550\nCRL to KBU: 12271\nADD to HGA: 583\nADD to YZG: 12177\nADD to EBL: 3461\nADD to KBU: 9556\nEBL to YZG: 10124\nEBL to HGA: 3370\nEBL to KBU: 9088\nKBU to YZG: 17102\nKBU to HGA: 9183\nYZG to HGA: 12445\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50865,
"style": "rule"
}
|
{
"exact_answer": 50865,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YCO\", \"id\": 0}, {\"name\": \"ATL\", \"id\": 1}, {\"name\": \"KRY\", \"id\": 2}, {\"name\": \"CRL\", \"id\": 3}, {\"name\": \"ADD\", \"id\": 4}, {\"name\": \"EBL\", \"id\": 5}, {\"name\": \"KBU\", \"id\": 6}, {\"name\": \"YZG\", \"id\": 7}, {\"name\": \"HGA\", \"id\": 8}], \"links\": [{\"weight\": 4225, \"source\": 0, \"target\": 7}, {\"weight\": 4817, \"source\": 0, \"target\": 1}, {\"weight\": 14286, \"source\": 0, \"target\": 4}, {\"weight\": 14486, \"source\": 0, \"target\": 8}, {\"weight\": 13625, \"source\": 0, \"target\": 2}, {\"weight\": 11863, \"source\": 0, \"target\": 5}, {\"weight\": 8721, \"source\": 0, \"target\": 3}, {\"weight\": 15393, \"source\": 0, \"target\": 6}, {\"weight\": 3556, \"source\": 1, \"target\": 7}, {\"weight\": 12421, \"source\": 1, \"target\": 4}, {\"weight\": 12895, \"source\": 1, \"target\": 8}, {\"weight\": 12664, \"source\": 1, \"target\": 2}, {\"weight\": 10600, \"source\": 1, \"target\": 5}, {\"weight\": 7125, \"source\": 1, \"target\": 3}, {\"weight\": 16592, \"source\": 1, \"target\": 6}, {\"weight\": 12772, \"source\": 2, \"target\": 7}, {\"weight\": 6407, \"source\": 2, \"target\": 4}, {\"weight\": 6007, \"source\": 2, \"target\": 8}, {\"weight\": 4153, \"source\": 2, \"target\": 5}, {\"weight\": 6263, \"source\": 2, \"target\": 3}, {\"weight\": 6965, \"source\": 2, \"target\": 6}, {\"weight\": 7061, \"source\": 3, \"target\": 7}, {\"weight\": 5615, \"source\": 3, \"target\": 4}, {\"weight\": 5862, \"source\": 3, \"target\": 8}, {\"weight\": 3550, \"source\": 3, \"target\": 5}, {\"weight\": 12271, \"source\": 3, \"target\": 6}, {\"weight\": 583, \"source\": 4, \"target\": 8}, {\"weight\": 12177, \"source\": 4, \"target\": 7}, {\"weight\": 3461, \"source\": 4, \"target\": 5}, {\"weight\": 9556, \"source\": 4, \"target\": 6}, {\"weight\": 10124, \"source\": 5, \"target\": 7}, {\"weight\": 3370, \"source\": 5, \"target\": 8}, {\"weight\": 9088, \"source\": 5, \"target\": 6}, {\"weight\": 17102, \"source\": 6, \"target\": 7}, {\"weight\": 9183, \"source\": 6, \"target\": 8}, {\"weight\": 12445, \"source\": 7, \"target\": 8}]}",
"id": 92,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YCO, ATL, KRY, CRL, ADD, EBL, KBU, YZG, HGA\n- Travel distances (in kilometers) between each pair of airports:\nYCO to YZG: 4225\nYCO to ATL: 4817\nYCO to ADD: 14286\nYCO to HGA: 14486\nYCO to KRY: 13625\nYCO to EBL: 11863\nYCO to CRL: 8721\nYCO to KBU: 15393\nATL to YZG: 3556\nATL to ADD: 12421\nATL to HGA: 12895\nATL to KRY: 12664\nATL to EBL: 10600\nATL to CRL: 7125\nATL to KBU: 16592\nKRY to YZG: 12772\nKRY to ADD: 6407\nKRY to HGA: 6007\nKRY to EBL: 4153\nKRY to CRL: 6263\nKRY to KBU: 6965\nCRL to YZG: 7061\nCRL to ADD: 5615\nCRL to HGA: 5862\nCRL to EBL: 3550\nCRL to KBU: 12271\nADD to HGA: 583\nADD to YZG: 12177\nADD to EBL: 3461\nADD to KBU: 9556\nEBL to YZG: 10124\nEBL to HGA: 3370\nEBL to KBU: 9088\nKBU to YZG: 17102\nKBU to HGA: 9183\nYZG to HGA: 12445\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CCV, TBS, MEH, KPN, RMQ, COK, LAD, HNL, HFA\n- Travel distances (in kilometers) between each pair of airports:\nCCV to KPN: 11501\nCCV to COK: 10989\nCCV to TBS: 14649\nCCV to HNL: 6236\nCCV to LAD: 16160\nCCV to RMQ: 7941\nCCV to HFA: 16275\nCCV to MEH: 17311\nTBS to KPN: 13794\nTBS to COK: 4843\nTBS to HNL: 14001\nTBS to LAD: 7163\nTBS to RMQ: 7163\nTBS to HFA: 2030\nTBS to MEH: 4046\nMEH to KPN: 11700\nMEH to COK: 8668\nMEH to HNL: 12856\nMEH to LAD: 9130\nMEH to RMQ: 9772\nMEH to HFA: 5435\nKPN to COK: 17286\nKPN to HNL: 5265\nKPN to LAD: 17033\nKPN to RMQ: 13067\nKPN to HFA: 14836\nRMQ to COK: 4947\nRMQ to HNL: 8422\nRMQ to LAD: 12182\nRMQ to HFA: 9053\nCOK to HNL: 13179\nCOK to LAD: 8349\nCOK to HFA: 5534\nLAD to HNL: 18588\nLAD to HFA: 6683\nHNL to HFA: 15846\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57197,
"style": "rule"
}
|
{
"exact_answer": 57197,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CCV\", \"id\": 0}, {\"name\": \"TBS\", \"id\": 1}, {\"name\": \"MEH\", \"id\": 2}, {\"name\": \"KPN\", \"id\": 3}, {\"name\": \"RMQ\", \"id\": 4}, {\"name\": \"COK\", \"id\": 5}, {\"name\": \"LAD\", \"id\": 6}, {\"name\": \"HNL\", \"id\": 7}, {\"name\": \"HFA\", \"id\": 8}], \"links\": [{\"weight\": 11501, \"source\": 0, \"target\": 3}, {\"weight\": 10989, \"source\": 0, \"target\": 5}, {\"weight\": 14649, \"source\": 0, \"target\": 1}, {\"weight\": 6236, \"source\": 0, \"target\": 7}, {\"weight\": 16160, \"source\": 0, \"target\": 6}, {\"weight\": 7941, \"source\": 0, \"target\": 4}, {\"weight\": 16275, \"source\": 0, \"target\": 8}, {\"weight\": 17311, \"source\": 0, \"target\": 2}, {\"weight\": 13794, \"source\": 1, \"target\": 3}, {\"weight\": 4843, \"source\": 1, \"target\": 5}, {\"weight\": 14001, \"source\": 1, \"target\": 7}, {\"weight\": 7163, \"source\": 1, \"target\": 6}, {\"weight\": 7163, \"source\": 1, \"target\": 4}, {\"weight\": 2030, \"source\": 1, \"target\": 8}, {\"weight\": 4046, \"source\": 1, \"target\": 2}, {\"weight\": 11700, \"source\": 2, \"target\": 3}, {\"weight\": 8668, \"source\": 2, \"target\": 5}, {\"weight\": 12856, \"source\": 2, \"target\": 7}, {\"weight\": 9130, \"source\": 2, \"target\": 6}, {\"weight\": 9772, \"source\": 2, \"target\": 4}, {\"weight\": 5435, \"source\": 2, \"target\": 8}, {\"weight\": 17286, \"source\": 3, \"target\": 5}, {\"weight\": 5265, \"source\": 3, \"target\": 7}, {\"weight\": 17033, \"source\": 3, \"target\": 6}, {\"weight\": 13067, \"source\": 3, \"target\": 4}, {\"weight\": 14836, \"source\": 3, \"target\": 8}, {\"weight\": 4947, \"source\": 4, \"target\": 5}, {\"weight\": 8422, \"source\": 4, \"target\": 7}, {\"weight\": 12182, \"source\": 4, \"target\": 6}, {\"weight\": 9053, \"source\": 4, \"target\": 8}, {\"weight\": 13179, \"source\": 5, \"target\": 7}, {\"weight\": 8349, \"source\": 5, \"target\": 6}, {\"weight\": 5534, \"source\": 5, \"target\": 8}, {\"weight\": 18588, \"source\": 6, \"target\": 7}, {\"weight\": 6683, \"source\": 6, \"target\": 8}, {\"weight\": 15846, \"source\": 7, \"target\": 8}]}",
"id": 93,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CCV, TBS, MEH, KPN, RMQ, COK, LAD, HNL, HFA\n- Travel distances (in kilometers) between each pair of airports:\nCCV to KPN: 11501\nCCV to COK: 10989\nCCV to TBS: 14649\nCCV to HNL: 6236\nCCV to LAD: 16160\nCCV to RMQ: 7941\nCCV to HFA: 16275\nCCV to MEH: 17311\nTBS to KPN: 13794\nTBS to COK: 4843\nTBS to HNL: 14001\nTBS to LAD: 7163\nTBS to RMQ: 7163\nTBS to HFA: 2030\nTBS to MEH: 4046\nMEH to KPN: 11700\nMEH to COK: 8668\nMEH to HNL: 12856\nMEH to LAD: 9130\nMEH to RMQ: 9772\nMEH to HFA: 5435\nKPN to COK: 17286\nKPN to HNL: 5265\nKPN to LAD: 17033\nKPN to RMQ: 13067\nKPN to HFA: 14836\nRMQ to COK: 4947\nRMQ to HNL: 8422\nRMQ to LAD: 12182\nRMQ to HFA: 9053\nCOK to HNL: 13179\nCOK to LAD: 8349\nCOK to HFA: 5534\nLAD to HNL: 18588\nLAD to HFA: 6683\nHNL to HFA: 15846\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PJA, DKR, TNO, CLT, BOO, HDG, TBZ, RTW\n- Travel distances (in kilometers) between each pair of airports:\nHZH to DKR: 12867\nHZH to HDG: 1642\nHZH to TNO: 15971\nHZH to RTW: 6598\nHZH to CLT: 13442\nHZH to TBZ: 6318\nHZH to BOO: 8710\nHZH to PJA: 8271\nPJA to DKR: 6589\nPJA to HDG: 8354\nPJA to TNO: 10746\nPJA to RTW: 2535\nPJA to CLT: 8035\nPJA to TBZ: 4085\nPJA to BOO: 1895\nDKR to HDG: 13288\nDKR to TNO: 8947\nDKR to RTW: 7081\nDKR to CLT: 6918\nDKR to TBZ: 6852\nDKR to BOO: 6286\nTNO to HDG: 14906\nTNO to RTW: 11789\nTNO to CLT: 2819\nTNO to TBZ: 12912\nTNO to BOO: 9806\nCLT to HDG: 12566\nCLT to RTW: 9078\nCLT to TBZ: 10438\nCLT to BOO: 7095\nBOO to HDG: 8793\nBOO to RTW: 2974\nBOO to TBZ: 4507\nHDG to RTW: 6595\nHDG to TBZ: 6749\nTBZ to RTW: 1971\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44698,
"style": "rule"
}
|
{
"exact_answer": 44698,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HZH\", \"id\": 0}, {\"name\": \"PJA\", \"id\": 1}, {\"name\": \"DKR\", \"id\": 2}, {\"name\": \"TNO\", \"id\": 3}, {\"name\": \"CLT\", \"id\": 4}, {\"name\": \"BOO\", \"id\": 5}, {\"name\": \"HDG\", \"id\": 6}, {\"name\": \"TBZ\", \"id\": 7}, {\"name\": \"RTW\", \"id\": 8}], \"links\": [{\"weight\": 12867, \"source\": 0, \"target\": 2}, {\"weight\": 1642, \"source\": 0, \"target\": 6}, {\"weight\": 15971, \"source\": 0, \"target\": 3}, {\"weight\": 6598, \"source\": 0, \"target\": 8}, {\"weight\": 13442, \"source\": 0, \"target\": 4}, {\"weight\": 6318, \"source\": 0, \"target\": 7}, {\"weight\": 8710, \"source\": 0, \"target\": 5}, {\"weight\": 8271, \"source\": 0, \"target\": 1}, {\"weight\": 6589, \"source\": 1, \"target\": 2}, {\"weight\": 8354, \"source\": 1, \"target\": 6}, {\"weight\": 10746, \"source\": 1, \"target\": 3}, {\"weight\": 2535, \"source\": 1, \"target\": 8}, {\"weight\": 8035, \"source\": 1, \"target\": 4}, {\"weight\": 4085, \"source\": 1, \"target\": 7}, {\"weight\": 1895, \"source\": 1, \"target\": 5}, {\"weight\": 13288, \"source\": 2, \"target\": 6}, {\"weight\": 8947, \"source\": 2, \"target\": 3}, {\"weight\": 7081, \"source\": 2, \"target\": 8}, {\"weight\": 6918, \"source\": 2, \"target\": 4}, {\"weight\": 6852, \"source\": 2, \"target\": 7}, {\"weight\": 6286, \"source\": 2, \"target\": 5}, {\"weight\": 14906, \"source\": 3, \"target\": 6}, {\"weight\": 11789, \"source\": 3, \"target\": 8}, {\"weight\": 2819, \"source\": 3, \"target\": 4}, {\"weight\": 12912, \"source\": 3, \"target\": 7}, {\"weight\": 9806, \"source\": 3, \"target\": 5}, {\"weight\": 12566, \"source\": 4, \"target\": 6}, {\"weight\": 9078, \"source\": 4, \"target\": 8}, {\"weight\": 10438, \"source\": 4, \"target\": 7}, {\"weight\": 7095, \"source\": 4, \"target\": 5}, {\"weight\": 8793, \"source\": 5, \"target\": 6}, {\"weight\": 2974, \"source\": 5, \"target\": 8}, {\"weight\": 4507, \"source\": 5, \"target\": 7}, {\"weight\": 6595, \"source\": 6, \"target\": 8}, {\"weight\": 6749, \"source\": 6, \"target\": 7}, {\"weight\": 1971, \"source\": 7, \"target\": 8}]}",
"id": 94,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PJA, DKR, TNO, CLT, BOO, HDG, TBZ, RTW\n- Travel distances (in kilometers) between each pair of airports:\nHZH to DKR: 12867\nHZH to HDG: 1642\nHZH to TNO: 15971\nHZH to RTW: 6598\nHZH to CLT: 13442\nHZH to TBZ: 6318\nHZH to BOO: 8710\nHZH to PJA: 8271\nPJA to DKR: 6589\nPJA to HDG: 8354\nPJA to TNO: 10746\nPJA to RTW: 2535\nPJA to CLT: 8035\nPJA to TBZ: 4085\nPJA to BOO: 1895\nDKR to HDG: 13288\nDKR to TNO: 8947\nDKR to RTW: 7081\nDKR to CLT: 6918\nDKR to TBZ: 6852\nDKR to BOO: 6286\nTNO to HDG: 14906\nTNO to RTW: 11789\nTNO to CLT: 2819\nTNO to TBZ: 12912\nTNO to BOO: 9806\nCLT to HDG: 12566\nCLT to RTW: 9078\nCLT to TBZ: 10438\nCLT to BOO: 7095\nBOO to HDG: 8793\nBOO to RTW: 2974\nBOO to TBZ: 4507\nHDG to RTW: 6595\nHDG to TBZ: 6749\nTBZ to RTW: 1971\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, OLB, ADZ, ZCO, KOT, SHC, NNM, GYA, HRO\n- Travel distances (in kilometers) between each pair of airports:\nSJW to OLB: 8680\nSJW to NNM: 6464\nSJW to KOT: 12161\nSJW to ADZ: 15328\nSJW to GYA: 18881\nSJW to SHC: 9009\nSJW to ZCO: 19997\nSJW to HRO: 11797\nOLB to NNM: 3954\nOLB to KOT: 12220\nOLB to ADZ: 9797\nOLB to GYA: 11266\nOLB to SHC: 5385\nOLB to ZCO: 12600\nOLB to HRO: 8594\nADZ to NNM: 12164\nADZ to KOT: 9364\nADZ to GYA: 4498\nADZ to SHC: 15081\nADZ to ZCO: 5892\nADZ to HRO: 3964\nZCO to NNM: 15835\nZCO to KOT: 14126\nZCO to GYA: 3386\nZCO to SHC: 13866\nZCO to HRO: 8926\nKOT to NNM: 13083\nKOT to GYA: 12913\nKOT to SHC: 17321\nKOT to HRO: 5833\nSHC to NNM: 7533\nSHC to GYA: 13567\nSHC to HRO: 13730\nNNM to GYA: 14582\nNNM to HRO: 9952\nGYA to HRO: 7426\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59511,
"style": "rule"
}
|
{
"exact_answer": 59511,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SJW\", \"id\": 0}, {\"name\": \"OLB\", \"id\": 1}, {\"name\": \"ADZ\", \"id\": 2}, {\"name\": \"ZCO\", \"id\": 3}, {\"name\": \"KOT\", \"id\": 4}, {\"name\": \"SHC\", \"id\": 5}, {\"name\": \"NNM\", \"id\": 6}, {\"name\": \"GYA\", \"id\": 7}, {\"name\": \"HRO\", \"id\": 8}], \"links\": [{\"weight\": 8680, \"source\": 0, \"target\": 1}, {\"weight\": 6464, \"source\": 0, \"target\": 6}, {\"weight\": 12161, \"source\": 0, \"target\": 4}, {\"weight\": 15328, \"source\": 0, \"target\": 2}, {\"weight\": 18881, \"source\": 0, \"target\": 7}, {\"weight\": 9009, \"source\": 0, \"target\": 5}, {\"weight\": 19997, \"source\": 0, \"target\": 3}, {\"weight\": 11797, \"source\": 0, \"target\": 8}, {\"weight\": 3954, \"source\": 1, \"target\": 6}, {\"weight\": 12220, \"source\": 1, \"target\": 4}, {\"weight\": 9797, \"source\": 1, \"target\": 2}, {\"weight\": 11266, \"source\": 1, \"target\": 7}, {\"weight\": 5385, \"source\": 1, \"target\": 5}, {\"weight\": 12600, \"source\": 1, \"target\": 3}, {\"weight\": 8594, \"source\": 1, \"target\": 8}, {\"weight\": 12164, \"source\": 2, \"target\": 6}, {\"weight\": 9364, \"source\": 2, \"target\": 4}, {\"weight\": 4498, \"source\": 2, \"target\": 7}, {\"weight\": 15081, \"source\": 2, \"target\": 5}, {\"weight\": 5892, \"source\": 2, \"target\": 3}, {\"weight\": 3964, \"source\": 2, \"target\": 8}, {\"weight\": 15835, \"source\": 3, \"target\": 6}, {\"weight\": 14126, \"source\": 3, \"target\": 4}, {\"weight\": 3386, \"source\": 3, \"target\": 7}, {\"weight\": 13866, \"source\": 3, \"target\": 5}, {\"weight\": 8926, \"source\": 3, \"target\": 8}, {\"weight\": 13083, \"source\": 4, \"target\": 6}, {\"weight\": 12913, \"source\": 4, \"target\": 7}, {\"weight\": 17321, \"source\": 4, \"target\": 5}, {\"weight\": 5833, \"source\": 4, \"target\": 8}, {\"weight\": 7533, \"source\": 5, \"target\": 6}, {\"weight\": 13567, \"source\": 5, \"target\": 7}, {\"weight\": 13730, \"source\": 5, \"target\": 8}, {\"weight\": 14582, \"source\": 6, \"target\": 7}, {\"weight\": 9952, \"source\": 6, \"target\": 8}, {\"weight\": 7426, \"source\": 7, \"target\": 8}]}",
"id": 95,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, OLB, ADZ, ZCO, KOT, SHC, NNM, GYA, HRO\n- Travel distances (in kilometers) between each pair of airports:\nSJW to OLB: 8680\nSJW to NNM: 6464\nSJW to KOT: 12161\nSJW to ADZ: 15328\nSJW to GYA: 18881\nSJW to SHC: 9009\nSJW to ZCO: 19997\nSJW to HRO: 11797\nOLB to NNM: 3954\nOLB to KOT: 12220\nOLB to ADZ: 9797\nOLB to GYA: 11266\nOLB to SHC: 5385\nOLB to ZCO: 12600\nOLB to HRO: 8594\nADZ to NNM: 12164\nADZ to KOT: 9364\nADZ to GYA: 4498\nADZ to SHC: 15081\nADZ to ZCO: 5892\nADZ to HRO: 3964\nZCO to NNM: 15835\nZCO to KOT: 14126\nZCO to GYA: 3386\nZCO to SHC: 13866\nZCO to HRO: 8926\nKOT to NNM: 13083\nKOT to GYA: 12913\nKOT to SHC: 17321\nKOT to HRO: 5833\nSHC to NNM: 7533\nSHC to GYA: 13567\nSHC to HRO: 13730\nNNM to GYA: 14582\nNNM to HRO: 9952\nGYA to HRO: 7426\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TID, NTE, OGL, GOP, BVG, GDL, QBC, FUT, URC\n- Travel distances (in kilometers) between each pair of airports:\nTID to URC: 7188\nTID to GDL: 10264\nTID to QBC: 9882\nTID to GOP: 7693\nTID to NTE: 1446\nTID to OGL: 9317\nTID to FUT: 19344\nTID to BVG: 4362\nNTE to URC: 6552\nNTE to GDL: 9411\nNTE to QBC: 8455\nNTE to GOP: 7563\nNTE to OGL: 7926\nNTE to FUT: 18495\nNTE to BVG: 3151\nOGL to URC: 13672\nOGL to GDL: 5599\nOGL to QBC: 8194\nOGL to GOP: 14826\nOGL to FUT: 17038\nOGL to BVG: 9932\nGOP to URC: 3025\nGOP to GDL: 15465\nGOP to QBC: 13384\nGOP to FUT: 13700\nGOP to BVG: 7422\nBVG to URC: 6131\nBVG to GDL: 10365\nBVG to QBC: 8972\nBVG to FUT: 17973\nGDL to URC: 14563\nGDL to QBC: 4081\nGDL to FUT: 12076\nQBC to URC: 11350\nQBC to FUT: 10967\nFUT to URC: 12541\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57237,
"style": "rule"
}
|
{
"exact_answer": 57237,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TID\", \"id\": 0}, {\"name\": \"NTE\", \"id\": 1}, {\"name\": \"OGL\", \"id\": 2}, {\"name\": \"GOP\", \"id\": 3}, {\"name\": \"BVG\", \"id\": 4}, {\"name\": \"GDL\", \"id\": 5}, {\"name\": \"QBC\", \"id\": 6}, {\"name\": \"FUT\", \"id\": 7}, {\"name\": \"URC\", \"id\": 8}], \"links\": [{\"weight\": 7188, \"source\": 0, \"target\": 8}, {\"weight\": 10264, \"source\": 0, \"target\": 5}, {\"weight\": 9882, \"source\": 0, \"target\": 6}, {\"weight\": 7693, \"source\": 0, \"target\": 3}, {\"weight\": 1446, \"source\": 0, \"target\": 1}, {\"weight\": 9317, \"source\": 0, \"target\": 2}, {\"weight\": 19344, \"source\": 0, \"target\": 7}, {\"weight\": 4362, \"source\": 0, \"target\": 4}, {\"weight\": 6552, \"source\": 1, \"target\": 8}, {\"weight\": 9411, \"source\": 1, \"target\": 5}, {\"weight\": 8455, \"source\": 1, \"target\": 6}, {\"weight\": 7563, \"source\": 1, \"target\": 3}, {\"weight\": 7926, \"source\": 1, \"target\": 2}, {\"weight\": 18495, \"source\": 1, \"target\": 7}, {\"weight\": 3151, \"source\": 1, \"target\": 4}, {\"weight\": 13672, \"source\": 2, \"target\": 8}, {\"weight\": 5599, \"source\": 2, \"target\": 5}, {\"weight\": 8194, \"source\": 2, \"target\": 6}, {\"weight\": 14826, \"source\": 2, \"target\": 3}, {\"weight\": 17038, \"source\": 2, \"target\": 7}, {\"weight\": 9932, \"source\": 2, \"target\": 4}, {\"weight\": 3025, \"source\": 3, \"target\": 8}, {\"weight\": 15465, \"source\": 3, \"target\": 5}, {\"weight\": 13384, \"source\": 3, \"target\": 6}, {\"weight\": 13700, \"source\": 3, \"target\": 7}, {\"weight\": 7422, \"source\": 3, \"target\": 4}, {\"weight\": 6131, \"source\": 4, \"target\": 8}, {\"weight\": 10365, \"source\": 4, \"target\": 5}, {\"weight\": 8972, \"source\": 4, \"target\": 6}, {\"weight\": 17973, \"source\": 4, \"target\": 7}, {\"weight\": 14563, \"source\": 5, \"target\": 8}, {\"weight\": 4081, \"source\": 5, \"target\": 6}, {\"weight\": 12076, \"source\": 5, \"target\": 7}, {\"weight\": 11350, \"source\": 6, \"target\": 8}, {\"weight\": 10967, \"source\": 6, \"target\": 7}, {\"weight\": 12541, \"source\": 7, \"target\": 8}]}",
"id": 96,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TID, NTE, OGL, GOP, BVG, GDL, QBC, FUT, URC\n- Travel distances (in kilometers) between each pair of airports:\nTID to URC: 7188\nTID to GDL: 10264\nTID to QBC: 9882\nTID to GOP: 7693\nTID to NTE: 1446\nTID to OGL: 9317\nTID to FUT: 19344\nTID to BVG: 4362\nNTE to URC: 6552\nNTE to GDL: 9411\nNTE to QBC: 8455\nNTE to GOP: 7563\nNTE to OGL: 7926\nNTE to FUT: 18495\nNTE to BVG: 3151\nOGL to URC: 13672\nOGL to GDL: 5599\nOGL to QBC: 8194\nOGL to GOP: 14826\nOGL to FUT: 17038\nOGL to BVG: 9932\nGOP to URC: 3025\nGOP to GDL: 15465\nGOP to QBC: 13384\nGOP to FUT: 13700\nGOP to BVG: 7422\nBVG to URC: 6131\nBVG to GDL: 10365\nBVG to QBC: 8972\nBVG to FUT: 17973\nGDL to URC: 14563\nGDL to QBC: 4081\nGDL to FUT: 12076\nQBC to URC: 11350\nQBC to FUT: 10967\nFUT to URC: 12541\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GFK, TLT, CZL, SLM, JDO, JIK, ADA, SCO, ULG\n- Travel distances (in kilometers) between each pair of airports:\nGFK to TLT: 5195\nGFK to ADA: 10061\nGFK to JIK: 9513\nGFK to JDO: 8773\nGFK to CZL: 8562\nGFK to SCO: 10667\nGFK to ULG: 13664\nGFK to SLM: 8526\nTLT to ADA: 13687\nTLT to JIK: 13228\nTLT to JDO: 13046\nTLT to CZL: 12515\nTLT to SCO: 13805\nTLT to ULG: 14113\nTLT to SLM: 12464\nCZL to ADA: 2714\nCZL to JIK: 2404\nCZL to JDO: 6991\nCZL to SCO: 3837\nCZL to ULG: 9234\nCZL to SLM: 1463\nSLM to ADA: 3552\nSLM to JIK: 2751\nSLM to JDO: 7512\nSLM to SCO: 4660\nSLM to ULG: 9531\nJDO to ADA: 9595\nJDO to JIK: 8794\nJDO to SCO: 10802\nJDO to ULG: 15768\nJIK to ADA: 1225\nJIK to SCO: 2604\nJIK to ULG: 8274\nADA to SCO: 1944\nADA to ULG: 7409\nSCO to ULG: 6091\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48546,
"style": "rule"
}
|
{
"exact_answer": 48546,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GFK\", \"id\": 0}, {\"name\": \"TLT\", \"id\": 1}, {\"name\": \"CZL\", \"id\": 2}, {\"name\": \"SLM\", \"id\": 3}, {\"name\": \"JDO\", \"id\": 4}, {\"name\": \"JIK\", \"id\": 5}, {\"name\": \"ADA\", \"id\": 6}, {\"name\": \"SCO\", \"id\": 7}, {\"name\": \"ULG\", \"id\": 8}], \"links\": [{\"weight\": 5195, \"source\": 0, \"target\": 1}, {\"weight\": 10061, \"source\": 0, \"target\": 6}, {\"weight\": 9513, \"source\": 0, \"target\": 5}, {\"weight\": 8773, \"source\": 0, \"target\": 4}, {\"weight\": 8562, \"source\": 0, \"target\": 2}, {\"weight\": 10667, \"source\": 0, \"target\": 7}, {\"weight\": 13664, \"source\": 0, \"target\": 8}, {\"weight\": 8526, \"source\": 0, \"target\": 3}, {\"weight\": 13687, \"source\": 1, \"target\": 6}, {\"weight\": 13228, \"source\": 1, \"target\": 5}, {\"weight\": 13046, \"source\": 1, \"target\": 4}, {\"weight\": 12515, \"source\": 1, \"target\": 2}, {\"weight\": 13805, \"source\": 1, \"target\": 7}, {\"weight\": 14113, \"source\": 1, \"target\": 8}, {\"weight\": 12464, \"source\": 1, \"target\": 3}, {\"weight\": 2714, \"source\": 2, \"target\": 6}, {\"weight\": 2404, \"source\": 2, \"target\": 5}, {\"weight\": 6991, \"source\": 2, \"target\": 4}, {\"weight\": 3837, \"source\": 2, \"target\": 7}, {\"weight\": 9234, \"source\": 2, \"target\": 8}, {\"weight\": 1463, \"source\": 2, \"target\": 3}, {\"weight\": 3552, \"source\": 3, \"target\": 6}, {\"weight\": 2751, \"source\": 3, \"target\": 5}, {\"weight\": 7512, \"source\": 3, \"target\": 4}, {\"weight\": 4660, \"source\": 3, \"target\": 7}, {\"weight\": 9531, \"source\": 3, \"target\": 8}, {\"weight\": 9595, \"source\": 4, \"target\": 6}, {\"weight\": 8794, \"source\": 4, \"target\": 5}, {\"weight\": 10802, \"source\": 4, \"target\": 7}, {\"weight\": 15768, \"source\": 4, \"target\": 8}, {\"weight\": 1225, \"source\": 5, \"target\": 6}, {\"weight\": 2604, \"source\": 5, \"target\": 7}, {\"weight\": 8274, \"source\": 5, \"target\": 8}, {\"weight\": 1944, \"source\": 6, \"target\": 7}, {\"weight\": 7409, \"source\": 6, \"target\": 8}, {\"weight\": 6091, \"source\": 7, \"target\": 8}]}",
"id": 97,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GFK, TLT, CZL, SLM, JDO, JIK, ADA, SCO, ULG\n- Travel distances (in kilometers) between each pair of airports:\nGFK to TLT: 5195\nGFK to ADA: 10061\nGFK to JIK: 9513\nGFK to JDO: 8773\nGFK to CZL: 8562\nGFK to SCO: 10667\nGFK to ULG: 13664\nGFK to SLM: 8526\nTLT to ADA: 13687\nTLT to JIK: 13228\nTLT to JDO: 13046\nTLT to CZL: 12515\nTLT to SCO: 13805\nTLT to ULG: 14113\nTLT to SLM: 12464\nCZL to ADA: 2714\nCZL to JIK: 2404\nCZL to JDO: 6991\nCZL to SCO: 3837\nCZL to ULG: 9234\nCZL to SLM: 1463\nSLM to ADA: 3552\nSLM to JIK: 2751\nSLM to JDO: 7512\nSLM to SCO: 4660\nSLM to ULG: 9531\nJDO to ADA: 9595\nJDO to JIK: 8794\nJDO to SCO: 10802\nJDO to ULG: 15768\nJIK to ADA: 1225\nJIK to SCO: 2604\nJIK to ULG: 8274\nADA to SCO: 1944\nADA to ULG: 7409\nSCO to ULG: 6091\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SAW, LLA, FEZ, PFQ, HMO, KPR, TRE, YPJ, QSF\n- Travel distances (in kilometers) between each pair of airports:\nSAW to KPR: 12814\nSAW to YPJ: 8267\nSAW to FEZ: 3299\nSAW to HMO: 11364\nSAW to QSF: 2584\nSAW to TRE: 3130\nSAW to LLA: 2918\nSAW to PFQ: 3222\nLLA to KPR: 11466\nLLA to YPJ: 7800\nLLA to FEZ: 4001\nLLA to HMO: 10016\nLLA to QSF: 3481\nLLA to TRE: 2525\nLLA to PFQ: 5248\nFEZ to KPR: 11988\nFEZ to YPJ: 7521\nFEZ to HMO: 9744\nFEZ to QSF: 1494\nFEZ to TRE: 2666\nFEZ to PFQ: 5838\nPFQ to KPR: 15336\nPFQ to YPJ: 10806\nPFQ to HMO: 13886\nPFQ to QSF: 5042\nPFQ to TRE: 5672\nHMO to KPR: 5091\nHMO to YPJ: 5084\nHMO to QSF: 10361\nHMO to TRE: 8698\nKPR to YPJ: 7105\nKPR to QSF: 12307\nKPR to TRE: 10148\nTRE to YPJ: 6436\nTRE to QSF: 2499\nYPJ to QSF: 7498\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42917,
"style": "rule"
}
|
{
"exact_answer": 42917,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SAW\", \"id\": 0}, {\"name\": \"LLA\", \"id\": 1}, {\"name\": \"FEZ\", \"id\": 2}, {\"name\": \"PFQ\", \"id\": 3}, {\"name\": \"HMO\", \"id\": 4}, {\"name\": \"KPR\", \"id\": 5}, {\"name\": \"TRE\", \"id\": 6}, {\"name\": \"YPJ\", \"id\": 7}, {\"name\": \"QSF\", \"id\": 8}], \"links\": [{\"weight\": 12814, \"source\": 0, \"target\": 5}, {\"weight\": 8267, \"source\": 0, \"target\": 7}, {\"weight\": 3299, \"source\": 0, \"target\": 2}, {\"weight\": 11364, \"source\": 0, \"target\": 4}, {\"weight\": 2584, \"source\": 0, \"target\": 8}, {\"weight\": 3130, \"source\": 0, \"target\": 6}, {\"weight\": 2918, \"source\": 0, \"target\": 1}, {\"weight\": 3222, \"source\": 0, \"target\": 3}, {\"weight\": 11466, \"source\": 1, \"target\": 5}, {\"weight\": 7800, \"source\": 1, \"target\": 7}, {\"weight\": 4001, \"source\": 1, \"target\": 2}, {\"weight\": 10016, \"source\": 1, \"target\": 4}, {\"weight\": 3481, \"source\": 1, \"target\": 8}, {\"weight\": 2525, \"source\": 1, \"target\": 6}, {\"weight\": 5248, \"source\": 1, \"target\": 3}, {\"weight\": 11988, \"source\": 2, \"target\": 5}, {\"weight\": 7521, \"source\": 2, \"target\": 7}, {\"weight\": 9744, \"source\": 2, \"target\": 4}, {\"weight\": 1494, \"source\": 2, \"target\": 8}, {\"weight\": 2666, \"source\": 2, \"target\": 6}, {\"weight\": 5838, \"source\": 2, \"target\": 3}, {\"weight\": 15336, \"source\": 3, \"target\": 5}, {\"weight\": 10806, \"source\": 3, \"target\": 7}, {\"weight\": 13886, \"source\": 3, \"target\": 4}, {\"weight\": 5042, \"source\": 3, \"target\": 8}, {\"weight\": 5672, \"source\": 3, \"target\": 6}, {\"weight\": 5091, \"source\": 4, \"target\": 5}, {\"weight\": 5084, \"source\": 4, \"target\": 7}, {\"weight\": 10361, \"source\": 4, \"target\": 8}, {\"weight\": 8698, \"source\": 4, \"target\": 6}, {\"weight\": 7105, \"source\": 5, \"target\": 7}, {\"weight\": 12307, \"source\": 5, \"target\": 8}, {\"weight\": 10148, \"source\": 5, \"target\": 6}, {\"weight\": 6436, \"source\": 6, \"target\": 7}, {\"weight\": 2499, \"source\": 6, \"target\": 8}, {\"weight\": 7498, \"source\": 7, \"target\": 8}]}",
"id": 98,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SAW, LLA, FEZ, PFQ, HMO, KPR, TRE, YPJ, QSF\n- Travel distances (in kilometers) between each pair of airports:\nSAW to KPR: 12814\nSAW to YPJ: 8267\nSAW to FEZ: 3299\nSAW to HMO: 11364\nSAW to QSF: 2584\nSAW to TRE: 3130\nSAW to LLA: 2918\nSAW to PFQ: 3222\nLLA to KPR: 11466\nLLA to YPJ: 7800\nLLA to FEZ: 4001\nLLA to HMO: 10016\nLLA to QSF: 3481\nLLA to TRE: 2525\nLLA to PFQ: 5248\nFEZ to KPR: 11988\nFEZ to YPJ: 7521\nFEZ to HMO: 9744\nFEZ to QSF: 1494\nFEZ to TRE: 2666\nFEZ to PFQ: 5838\nPFQ to KPR: 15336\nPFQ to YPJ: 10806\nPFQ to HMO: 13886\nPFQ to QSF: 5042\nPFQ to TRE: 5672\nHMO to KPR: 5091\nHMO to YPJ: 5084\nHMO to QSF: 10361\nHMO to TRE: 8698\nKPR to YPJ: 7105\nKPR to QSF: 12307\nKPR to TRE: 10148\nTRE to YPJ: 6436\nTRE to QSF: 2499\nYPJ to QSF: 7498\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGZ, LLB, PRC, JLR, YDP, NYK, QJH, SPP, BJV\n- Travel distances (in kilometers) between each pair of airports:\nTGZ to BJV: 11452\nTGZ to JLR: 15739\nTGZ to LLB: 15339\nTGZ to SPP: 13094\nTGZ to NYK: 15653\nTGZ to QJH: 9468\nTGZ to YDP: 5550\nTGZ to PRC: 3768\nLLB to BJV: 8883\nLLB to JLR: 4892\nLLB to SPP: 12814\nLLB to NYK: 9863\nLLB to QJH: 12692\nLLB to YDP: 14988\nLLB to PRC: 12748\nPRC to BJV: 11915\nPRC to JLR: 15067\nPRC to SPP: 15949\nPRC to NYK: 16763\nPRC to QJH: 9646\nPRC to YDP: 6292\nJLR to BJV: 5459\nJLR to SPP: 8964\nJLR to NYK: 5941\nJLR to QJH: 10317\nJLR to YDP: 12314\nYDP to BJV: 7638\nYDP to SPP: 12558\nYDP to NYK: 12369\nYDP to QJH: 7853\nNYK to BJV: 5656\nNYK to SPP: 4171\nNYK to QJH: 11298\nQJH to BJV: 6458\nQJH to SPP: 11519\nSPP to BJV: 7034\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58415,
"style": "rule"
}
|
{
"exact_answer": 58415,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGZ\", \"id\": 0}, {\"name\": \"LLB\", \"id\": 1}, {\"name\": \"PRC\", \"id\": 2}, {\"name\": \"JLR\", \"id\": 3}, {\"name\": \"YDP\", \"id\": 4}, {\"name\": \"NYK\", \"id\": 5}, {\"name\": \"QJH\", \"id\": 6}, {\"name\": \"SPP\", \"id\": 7}, {\"name\": \"BJV\", \"id\": 8}], \"links\": [{\"weight\": 11452, \"source\": 0, \"target\": 8}, {\"weight\": 15739, \"source\": 0, \"target\": 3}, {\"weight\": 15339, \"source\": 0, \"target\": 1}, {\"weight\": 13094, \"source\": 0, \"target\": 7}, {\"weight\": 15653, \"source\": 0, \"target\": 5}, {\"weight\": 9468, \"source\": 0, \"target\": 6}, {\"weight\": 5550, \"source\": 0, \"target\": 4}, {\"weight\": 3768, \"source\": 0, \"target\": 2}, {\"weight\": 8883, \"source\": 1, \"target\": 8}, {\"weight\": 4892, \"source\": 1, \"target\": 3}, {\"weight\": 12814, \"source\": 1, \"target\": 7}, {\"weight\": 9863, \"source\": 1, \"target\": 5}, {\"weight\": 12692, \"source\": 1, \"target\": 6}, {\"weight\": 14988, \"source\": 1, \"target\": 4}, {\"weight\": 12748, \"source\": 1, \"target\": 2}, {\"weight\": 11915, \"source\": 2, \"target\": 8}, {\"weight\": 15067, \"source\": 2, \"target\": 3}, {\"weight\": 15949, \"source\": 2, \"target\": 7}, {\"weight\": 16763, \"source\": 2, \"target\": 5}, {\"weight\": 9646, \"source\": 2, \"target\": 6}, {\"weight\": 6292, \"source\": 2, \"target\": 4}, {\"weight\": 5459, \"source\": 3, \"target\": 8}, {\"weight\": 8964, \"source\": 3, \"target\": 7}, {\"weight\": 5941, \"source\": 3, \"target\": 5}, {\"weight\": 10317, \"source\": 3, \"target\": 6}, {\"weight\": 12314, \"source\": 3, \"target\": 4}, {\"weight\": 7638, \"source\": 4, \"target\": 8}, {\"weight\": 12558, \"source\": 4, \"target\": 7}, {\"weight\": 12369, \"source\": 4, \"target\": 5}, {\"weight\": 7853, \"source\": 4, \"target\": 6}, {\"weight\": 5656, \"source\": 5, \"target\": 8}, {\"weight\": 4171, \"source\": 5, \"target\": 7}, {\"weight\": 11298, \"source\": 5, \"target\": 6}, {\"weight\": 6458, \"source\": 6, \"target\": 8}, {\"weight\": 11519, \"source\": 6, \"target\": 7}, {\"weight\": 7034, \"source\": 7, \"target\": 8}]}",
"id": 99,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGZ, LLB, PRC, JLR, YDP, NYK, QJH, SPP, BJV\n- Travel distances (in kilometers) between each pair of airports:\nTGZ to BJV: 11452\nTGZ to JLR: 15739\nTGZ to LLB: 15339\nTGZ to SPP: 13094\nTGZ to NYK: 15653\nTGZ to QJH: 9468\nTGZ to YDP: 5550\nTGZ to PRC: 3768\nLLB to BJV: 8883\nLLB to JLR: 4892\nLLB to SPP: 12814\nLLB to NYK: 9863\nLLB to QJH: 12692\nLLB to YDP: 14988\nLLB to PRC: 12748\nPRC to BJV: 11915\nPRC to JLR: 15067\nPRC to SPP: 15949\nPRC to NYK: 16763\nPRC to QJH: 9646\nPRC to YDP: 6292\nJLR to BJV: 5459\nJLR to SPP: 8964\nJLR to NYK: 5941\nJLR to QJH: 10317\nJLR to YDP: 12314\nYDP to BJV: 7638\nYDP to SPP: 12558\nYDP to NYK: 12369\nYDP to QJH: 7853\nNYK to BJV: 5656\nNYK to SPP: 4171\nNYK to QJH: 11298\nQJH to BJV: 6458\nQJH to SPP: 11519\nSPP to BJV: 7034\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.