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: ADF, CXR, SLZ, YUB, SJI, CIC, ANF, YOW, MPN\n- Travel distances (in kilometers) between each pair of airports:\nADF to YOW: 8723\nADF to SJI: 9730\nADF to ANF: 13665\nADF to YUB: 12235\nADF to SLZ: 10121\nADF to CXR: 8747\nADF to MPN: 15999\nADF to CIC: 11956\nCXR to YOW: 14216\nCXR to SJI: 2165\nCXR to ANF: 19607\nCXR to YUB: 14692\nCXR to SLZ: 17503\nCXR to MPN: 21531\nCXR to CIC: 12730\nSLZ to YOW: 6442\nSLZ to SJI: 18548\nSLZ to ANF: 5309\nSLZ to YUB: 10791\nSLZ to MPN: 6731\nSLZ to CIC: 9435\nYUB to YOW: 4349\nYUB to SJI: 13747\nYUB to ANF: 11761\nYUB to MPN: 15787\nYUB to CIC: 4386\nSJI to YOW: 13826\nSJI to ANF: 18947\nSJI to MPN: 20871\nSJI to CIC: 11714\nCIC to YOW: 4236\nCIC to ANF: 8961\nCIC to MPN: 12900\nANF to YOW: 7796\nANF to MPN: 4136\nYOW to MPN: 11810\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60145,
"style": "rule"
}
|
{
"exact_answer": 60145,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ADF\", \"id\": 0}, {\"name\": \"CXR\", \"id\": 1}, {\"name\": \"SLZ\", \"id\": 2}, {\"name\": \"YUB\", \"id\": 3}, {\"name\": \"SJI\", \"id\": 4}, {\"name\": \"CIC\", \"id\": 5}, {\"name\": \"ANF\", \"id\": 6}, {\"name\": \"YOW\", \"id\": 7}, {\"name\": \"MPN\", \"id\": 8}], \"links\": [{\"weight\": 8723, \"source\": 0, \"target\": 7}, {\"weight\": 9730, \"source\": 0, \"target\": 4}, {\"weight\": 13665, \"source\": 0, \"target\": 6}, {\"weight\": 12235, \"source\": 0, \"target\": 3}, {\"weight\": 10121, \"source\": 0, \"target\": 2}, {\"weight\": 8747, \"source\": 0, \"target\": 1}, {\"weight\": 15999, \"source\": 0, \"target\": 8}, {\"weight\": 11956, \"source\": 0, \"target\": 5}, {\"weight\": 14216, \"source\": 1, \"target\": 7}, {\"weight\": 2165, \"source\": 1, \"target\": 4}, {\"weight\": 19607, \"source\": 1, \"target\": 6}, {\"weight\": 14692, \"source\": 1, \"target\": 3}, {\"weight\": 17503, \"source\": 1, \"target\": 2}, {\"weight\": 21531, \"source\": 1, \"target\": 8}, {\"weight\": 12730, \"source\": 1, \"target\": 5}, {\"weight\": 6442, \"source\": 2, \"target\": 7}, {\"weight\": 18548, \"source\": 2, \"target\": 4}, {\"weight\": 5309, \"source\": 2, \"target\": 6}, {\"weight\": 10791, \"source\": 2, \"target\": 3}, {\"weight\": 6731, \"source\": 2, \"target\": 8}, {\"weight\": 9435, \"source\": 2, \"target\": 5}, {\"weight\": 4349, \"source\": 3, \"target\": 7}, {\"weight\": 13747, \"source\": 3, \"target\": 4}, {\"weight\": 11761, \"source\": 3, \"target\": 6}, {\"weight\": 15787, \"source\": 3, \"target\": 8}, {\"weight\": 4386, \"source\": 3, \"target\": 5}, {\"weight\": 13826, \"source\": 4, \"target\": 7}, {\"weight\": 18947, \"source\": 4, \"target\": 6}, {\"weight\": 20871, \"source\": 4, \"target\": 8}, {\"weight\": 11714, \"source\": 4, \"target\": 5}, {\"weight\": 4236, \"source\": 5, \"target\": 7}, {\"weight\": 8961, \"source\": 5, \"target\": 6}, {\"weight\": 12900, \"source\": 5, \"target\": 8}, {\"weight\": 7796, \"source\": 6, \"target\": 7}, {\"weight\": 4136, \"source\": 6, \"target\": 8}, {\"weight\": 11810, \"source\": 7, \"target\": 8}]}",
"id": 100,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADF, CXR, SLZ, YUB, SJI, CIC, ANF, YOW, MPN\n- Travel distances (in kilometers) between each pair of airports:\nADF to YOW: 8723\nADF to SJI: 9730\nADF to ANF: 13665\nADF to YUB: 12235\nADF to SLZ: 10121\nADF to CXR: 8747\nADF to MPN: 15999\nADF to CIC: 11956\nCXR to YOW: 14216\nCXR to SJI: 2165\nCXR to ANF: 19607\nCXR to YUB: 14692\nCXR to SLZ: 17503\nCXR to MPN: 21531\nCXR to CIC: 12730\nSLZ to YOW: 6442\nSLZ to SJI: 18548\nSLZ to ANF: 5309\nSLZ to YUB: 10791\nSLZ to MPN: 6731\nSLZ to CIC: 9435\nYUB to YOW: 4349\nYUB to SJI: 13747\nYUB to ANF: 11761\nYUB to MPN: 15787\nYUB to CIC: 4386\nSJI to YOW: 13826\nSJI to ANF: 18947\nSJI to MPN: 20871\nSJI to CIC: 11714\nCIC to YOW: 4236\nCIC to ANF: 8961\nCIC to MPN: 12900\nANF to YOW: 7796\nANF to MPN: 4136\nYOW to MPN: 11810\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MTR, MQP, WWK, EAS, JLR, GUA, HAU, YWP\n- Travel distances (in kilometers) between each pair of airports:\nPDX to GUA: 4697\nPDX to JLR: 13362\nPDX to MTR: 6857\nPDX to WWK: 13443\nPDX to HAU: 7613\nPDX to EAS: 9402\nPDX to MQP: 17066\nPDX to YWP: 3200\nMTR to GUA: 2426\nMTR to JLR: 16366\nMTR to WWK: 18953\nMTR to HAU: 9940\nMTR to EAS: 8876\nMTR to MQP: 12566\nMTR to YWP: 6300\nMQP to GUA: 14164\nMQP to JLR: 8134\nMQP to WWK: 13641\nMQP to HAU: 10036\nMQP to EAS: 8868\nMQP to YWP: 15155\nWWK to GUA: 16571\nWWK to JLR: 10231\nWWK to HAU: 14738\nWWK to EAS: 16289\nWWK to YWP: 16101\nEAS to GUA: 9061\nEAS to JLR: 7837\nEAS to HAU: 2461\nEAS to YWP: 7872\nJLR to GUA: 15729\nJLR to HAU: 6976\nJLR to YWP: 13771\nGUA to HAU: 9028\nGUA to YWP: 4836\nHAU to YWP: 7203\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63539,
"style": "rule"
}
|
{
"exact_answer": 63539,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDX\", \"id\": 0}, {\"name\": \"MTR\", \"id\": 1}, {\"name\": \"MQP\", \"id\": 2}, {\"name\": \"WWK\", \"id\": 3}, {\"name\": \"EAS\", \"id\": 4}, {\"name\": \"JLR\", \"id\": 5}, {\"name\": \"GUA\", \"id\": 6}, {\"name\": \"HAU\", \"id\": 7}, {\"name\": \"YWP\", \"id\": 8}], \"links\": [{\"weight\": 4697, \"source\": 0, \"target\": 6}, {\"weight\": 13362, \"source\": 0, \"target\": 5}, {\"weight\": 6857, \"source\": 0, \"target\": 1}, {\"weight\": 13443, \"source\": 0, \"target\": 3}, {\"weight\": 7613, \"source\": 0, \"target\": 7}, {\"weight\": 9402, \"source\": 0, \"target\": 4}, {\"weight\": 17066, \"source\": 0, \"target\": 2}, {\"weight\": 3200, \"source\": 0, \"target\": 8}, {\"weight\": 2426, \"source\": 1, \"target\": 6}, {\"weight\": 16366, \"source\": 1, \"target\": 5}, {\"weight\": 18953, \"source\": 1, \"target\": 3}, {\"weight\": 9940, \"source\": 1, \"target\": 7}, {\"weight\": 8876, \"source\": 1, \"target\": 4}, {\"weight\": 12566, \"source\": 1, \"target\": 2}, {\"weight\": 6300, \"source\": 1, \"target\": 8}, {\"weight\": 14164, \"source\": 2, \"target\": 6}, {\"weight\": 8134, \"source\": 2, \"target\": 5}, {\"weight\": 13641, \"source\": 2, \"target\": 3}, {\"weight\": 10036, \"source\": 2, \"target\": 7}, {\"weight\": 8868, \"source\": 2, \"target\": 4}, {\"weight\": 15155, \"source\": 2, \"target\": 8}, {\"weight\": 16571, \"source\": 3, \"target\": 6}, {\"weight\": 10231, \"source\": 3, \"target\": 5}, {\"weight\": 14738, \"source\": 3, \"target\": 7}, {\"weight\": 16289, \"source\": 3, \"target\": 4}, {\"weight\": 16101, \"source\": 3, \"target\": 8}, {\"weight\": 9061, \"source\": 4, \"target\": 6}, {\"weight\": 7837, \"source\": 4, \"target\": 5}, {\"weight\": 2461, \"source\": 4, \"target\": 7}, {\"weight\": 7872, \"source\": 4, \"target\": 8}, {\"weight\": 15729, \"source\": 5, \"target\": 6}, {\"weight\": 6976, \"source\": 5, \"target\": 7}, {\"weight\": 13771, \"source\": 5, \"target\": 8}, {\"weight\": 9028, \"source\": 6, \"target\": 7}, {\"weight\": 4836, \"source\": 6, \"target\": 8}, {\"weight\": 7203, \"source\": 7, \"target\": 8}]}",
"id": 101,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MTR, MQP, WWK, EAS, JLR, GUA, HAU, YWP\n- Travel distances (in kilometers) between each pair of airports:\nPDX to GUA: 4697\nPDX to JLR: 13362\nPDX to MTR: 6857\nPDX to WWK: 13443\nPDX to HAU: 7613\nPDX to EAS: 9402\nPDX to MQP: 17066\nPDX to YWP: 3200\nMTR to GUA: 2426\nMTR to JLR: 16366\nMTR to WWK: 18953\nMTR to HAU: 9940\nMTR to EAS: 8876\nMTR to MQP: 12566\nMTR to YWP: 6300\nMQP to GUA: 14164\nMQP to JLR: 8134\nMQP to WWK: 13641\nMQP to HAU: 10036\nMQP to EAS: 8868\nMQP to YWP: 15155\nWWK to GUA: 16571\nWWK to JLR: 10231\nWWK to HAU: 14738\nWWK to EAS: 16289\nWWK to YWP: 16101\nEAS to GUA: 9061\nEAS to JLR: 7837\nEAS to HAU: 2461\nEAS to YWP: 7872\nJLR to GUA: 15729\nJLR to HAU: 6976\nJLR to YWP: 13771\nGUA to HAU: 9028\nGUA to YWP: 4836\nHAU to YWP: 7203\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, PIZ, RIY, SSH, MHT, CLQ, TUI, LWY, VAO\n- Travel distances (in kilometers) between each pair of airports:\nUKS to PIZ: 13460\nUKS to MHT: 8576\nUKS to CLQ: 11981\nUKS to RIY: 5262\nUKS to VAO: 15026\nUKS to SSH: 3215\nUKS to LWY: 10213\nUKS to TUI: 5140\nPIZ to MHT: 7130\nPIZ to CLQ: 7825\nPIZ to RIY: 16816\nPIZ to VAO: 13258\nPIZ to SSH: 15038\nPIZ to LWY: 15495\nPIZ to TUI: 17020\nRIY to MHT: 11844\nRIY to CLQ: 15362\nRIY to VAO: 13694\nRIY to SSH: 2180\nRIY to LWY: 8262\nRIY to TUI: 2725\nSSH to MHT: 9703\nSSH to CLQ: 13221\nSSH to VAO: 14534\nSSH to LWY: 9118\nSSH to TUI: 2350\nMHT to CLQ: 4146\nMHT to VAO: 15388\nMHT to LWY: 15201\nMHT to TUI: 11868\nCLQ to VAO: 14205\nCLQ to LWY: 15225\nCLQ to TUI: 15394\nTUI to VAO: 14344\nTUI to LWY: 8928\nLWY to VAO: 6270\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56627,
"style": "rule"
}
|
{
"exact_answer": 56627,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"PIZ\", \"id\": 1}, {\"name\": \"RIY\", \"id\": 2}, {\"name\": \"SSH\", \"id\": 3}, {\"name\": \"MHT\", \"id\": 4}, {\"name\": \"CLQ\", \"id\": 5}, {\"name\": \"TUI\", \"id\": 6}, {\"name\": \"LWY\", \"id\": 7}, {\"name\": \"VAO\", \"id\": 8}], \"links\": [{\"weight\": 13460, \"source\": 0, \"target\": 1}, {\"weight\": 8576, \"source\": 0, \"target\": 4}, {\"weight\": 11981, \"source\": 0, \"target\": 5}, {\"weight\": 5262, \"source\": 0, \"target\": 2}, {\"weight\": 15026, \"source\": 0, \"target\": 8}, {\"weight\": 3215, \"source\": 0, \"target\": 3}, {\"weight\": 10213, \"source\": 0, \"target\": 7}, {\"weight\": 5140, \"source\": 0, \"target\": 6}, {\"weight\": 7130, \"source\": 1, \"target\": 4}, {\"weight\": 7825, \"source\": 1, \"target\": 5}, {\"weight\": 16816, \"source\": 1, \"target\": 2}, {\"weight\": 13258, \"source\": 1, \"target\": 8}, {\"weight\": 15038, \"source\": 1, \"target\": 3}, {\"weight\": 15495, \"source\": 1, \"target\": 7}, {\"weight\": 17020, \"source\": 1, \"target\": 6}, {\"weight\": 11844, \"source\": 2, \"target\": 4}, {\"weight\": 15362, \"source\": 2, \"target\": 5}, {\"weight\": 13694, \"source\": 2, \"target\": 8}, {\"weight\": 2180, \"source\": 2, \"target\": 3}, {\"weight\": 8262, \"source\": 2, \"target\": 7}, {\"weight\": 2725, \"source\": 2, \"target\": 6}, {\"weight\": 9703, \"source\": 3, \"target\": 4}, {\"weight\": 13221, \"source\": 3, \"target\": 5}, {\"weight\": 14534, \"source\": 3, \"target\": 8}, {\"weight\": 9118, \"source\": 3, \"target\": 7}, {\"weight\": 2350, \"source\": 3, \"target\": 6}, {\"weight\": 4146, \"source\": 4, \"target\": 5}, {\"weight\": 15388, \"source\": 4, \"target\": 8}, {\"weight\": 15201, \"source\": 4, \"target\": 7}, {\"weight\": 11868, \"source\": 4, \"target\": 6}, {\"weight\": 14205, \"source\": 5, \"target\": 8}, {\"weight\": 15225, \"source\": 5, \"target\": 7}, {\"weight\": 15394, \"source\": 5, \"target\": 6}, {\"weight\": 14344, \"source\": 6, \"target\": 8}, {\"weight\": 8928, \"source\": 6, \"target\": 7}, {\"weight\": 6270, \"source\": 7, \"target\": 8}]}",
"id": 102,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKS, PIZ, RIY, SSH, MHT, CLQ, TUI, LWY, VAO\n- Travel distances (in kilometers) between each pair of airports:\nUKS to PIZ: 13460\nUKS to MHT: 8576\nUKS to CLQ: 11981\nUKS to RIY: 5262\nUKS to VAO: 15026\nUKS to SSH: 3215\nUKS to LWY: 10213\nUKS to TUI: 5140\nPIZ to MHT: 7130\nPIZ to CLQ: 7825\nPIZ to RIY: 16816\nPIZ to VAO: 13258\nPIZ to SSH: 15038\nPIZ to LWY: 15495\nPIZ to TUI: 17020\nRIY to MHT: 11844\nRIY to CLQ: 15362\nRIY to VAO: 13694\nRIY to SSH: 2180\nRIY to LWY: 8262\nRIY to TUI: 2725\nSSH to MHT: 9703\nSSH to CLQ: 13221\nSSH to VAO: 14534\nSSH to LWY: 9118\nSSH to TUI: 2350\nMHT to CLQ: 4146\nMHT to VAO: 15388\nMHT to LWY: 15201\nMHT to TUI: 11868\nCLQ to VAO: 14205\nCLQ to LWY: 15225\nCLQ to TUI: 15394\nTUI to VAO: 14344\nTUI to LWY: 8928\nLWY to VAO: 6270\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, CPV, HNL, KRY, VLN, AVP, OOL, YKA, NRK\n- Travel distances (in kilometers) between each pair of airports:\nFOE to VLN: 4784\nFOE to YKA: 3413\nFOE to AVP: 1750\nFOE to HNL: 7555\nFOE to CPV: 9602\nFOE to NRK: 8518\nFOE to KRY: 12818\nFOE to OOL: 16223\nCPV to VLN: 5436\nCPV to YKA: 11409\nCPV to AVP: 8398\nCPV to HNL: 14758\nCPV to NRK: 10947\nCPV to KRY: 14935\nCPV to OOL: 16546\nHNL to VLN: 9889\nHNL to YKA: 4610\nHNL to AVP: 7828\nHNL to NRK: 13055\nHNL to KRY: 10840\nHNL to OOL: 8704\nKRY to VLN: 14189\nKRY to YKA: 11458\nKRY to AVP: 11796\nKRY to NRK: 5408\nKRY to OOL: 10740\nVLN to YKA: 6632\nVLN to AVP: 3562\nVLN to NRK: 9988\nVLN to OOL: 17306\nAVP to YKA: 3626\nAVP to NRK: 7444\nAVP to OOL: 16499\nOOL to YKA: 13314\nOOL to NRK: 15389\nYKA to NRK: 8590\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54570,
"style": "rule"
}
|
{
"exact_answer": 54570,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FOE\", \"id\": 0}, {\"name\": \"CPV\", \"id\": 1}, {\"name\": \"HNL\", \"id\": 2}, {\"name\": \"KRY\", \"id\": 3}, {\"name\": \"VLN\", \"id\": 4}, {\"name\": \"AVP\", \"id\": 5}, {\"name\": \"OOL\", \"id\": 6}, {\"name\": \"YKA\", \"id\": 7}, {\"name\": \"NRK\", \"id\": 8}], \"links\": [{\"weight\": 4784, \"source\": 0, \"target\": 4}, {\"weight\": 3413, \"source\": 0, \"target\": 7}, {\"weight\": 1750, \"source\": 0, \"target\": 5}, {\"weight\": 7555, \"source\": 0, \"target\": 2}, {\"weight\": 9602, \"source\": 0, \"target\": 1}, {\"weight\": 8518, \"source\": 0, \"target\": 8}, {\"weight\": 12818, \"source\": 0, \"target\": 3}, {\"weight\": 16223, \"source\": 0, \"target\": 6}, {\"weight\": 5436, \"source\": 1, \"target\": 4}, {\"weight\": 11409, \"source\": 1, \"target\": 7}, {\"weight\": 8398, \"source\": 1, \"target\": 5}, {\"weight\": 14758, \"source\": 1, \"target\": 2}, {\"weight\": 10947, \"source\": 1, \"target\": 8}, {\"weight\": 14935, \"source\": 1, \"target\": 3}, {\"weight\": 16546, \"source\": 1, \"target\": 6}, {\"weight\": 9889, \"source\": 2, \"target\": 4}, {\"weight\": 4610, \"source\": 2, \"target\": 7}, {\"weight\": 7828, \"source\": 2, \"target\": 5}, {\"weight\": 13055, \"source\": 2, \"target\": 8}, {\"weight\": 10840, \"source\": 2, \"target\": 3}, {\"weight\": 8704, \"source\": 2, \"target\": 6}, {\"weight\": 14189, \"source\": 3, \"target\": 4}, {\"weight\": 11458, \"source\": 3, \"target\": 7}, {\"weight\": 11796, \"source\": 3, \"target\": 5}, {\"weight\": 5408, \"source\": 3, \"target\": 8}, {\"weight\": 10740, \"source\": 3, \"target\": 6}, {\"weight\": 6632, \"source\": 4, \"target\": 7}, {\"weight\": 3562, \"source\": 4, \"target\": 5}, {\"weight\": 9988, \"source\": 4, \"target\": 8}, {\"weight\": 17306, \"source\": 4, \"target\": 6}, {\"weight\": 3626, \"source\": 5, \"target\": 7}, {\"weight\": 7444, \"source\": 5, \"target\": 8}, {\"weight\": 16499, \"source\": 5, \"target\": 6}, {\"weight\": 13314, \"source\": 6, \"target\": 7}, {\"weight\": 15389, \"source\": 6, \"target\": 8}, {\"weight\": 8590, \"source\": 7, \"target\": 8}]}",
"id": 103,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, CPV, HNL, KRY, VLN, AVP, OOL, YKA, NRK\n- Travel distances (in kilometers) between each pair of airports:\nFOE to VLN: 4784\nFOE to YKA: 3413\nFOE to AVP: 1750\nFOE to HNL: 7555\nFOE to CPV: 9602\nFOE to NRK: 8518\nFOE to KRY: 12818\nFOE to OOL: 16223\nCPV to VLN: 5436\nCPV to YKA: 11409\nCPV to AVP: 8398\nCPV to HNL: 14758\nCPV to NRK: 10947\nCPV to KRY: 14935\nCPV to OOL: 16546\nHNL to VLN: 9889\nHNL to YKA: 4610\nHNL to AVP: 7828\nHNL to NRK: 13055\nHNL to KRY: 10840\nHNL to OOL: 8704\nKRY to VLN: 14189\nKRY to YKA: 11458\nKRY to AVP: 11796\nKRY to NRK: 5408\nKRY to OOL: 10740\nVLN to YKA: 6632\nVLN to AVP: 3562\nVLN to NRK: 9988\nVLN to OOL: 17306\nAVP to YKA: 3626\nAVP to NRK: 7444\nAVP to OOL: 16499\nOOL to YKA: 13314\nOOL to NRK: 15389\nYKA to NRK: 8590\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KAA, USU, MUK, SMR, GMR, YGL, SPI, YZZ, CRK\n- Travel distances (in kilometers) between each pair of airports:\nKAA to YGL: 13630\nKAA to CRK: 11357\nKAA to USU: 11687\nKAA to YZZ: 16556\nKAA to SPI: 13887\nKAA to SMR: 13895\nKAA to MUK: 18129\nKAA to GMR: 20642\nUSU to YGL: 14221\nUSU to CRK: 1066\nUSU to YZZ: 11242\nUSU to SPI: 13687\nUSU to SMR: 17967\nUSU to MUK: 11528\nUSU to GMR: 13351\nMUK to YGL: 12053\nMUK to CRK: 11716\nMUK to YZZ: 9960\nMUK to SPI: 10812\nMUK to SMR: 13769\nMUK to GMR: 3073\nSMR to YGL: 5889\nSMR to CRK: 17798\nSMR to YZZ: 7539\nSMR to SPI: 4605\nSMR to GMR: 14217\nGMR to YGL: 12501\nGMR to CRK: 13539\nGMR to YZZ: 10408\nGMR to SPI: 11260\nYGL to CRK: 14357\nYGL to YZZ: 4019\nYGL to SPI: 2430\nSPI to CRK: 13343\nSPI to YZZ: 3516\nYZZ to CRK: 11148\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62381,
"style": "rule"
}
|
{
"exact_answer": 62381,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KAA\", \"id\": 0}, {\"name\": \"USU\", \"id\": 1}, {\"name\": \"MUK\", \"id\": 2}, {\"name\": \"SMR\", \"id\": 3}, {\"name\": \"GMR\", \"id\": 4}, {\"name\": \"YGL\", \"id\": 5}, {\"name\": \"SPI\", \"id\": 6}, {\"name\": \"YZZ\", \"id\": 7}, {\"name\": \"CRK\", \"id\": 8}], \"links\": [{\"weight\": 13630, \"source\": 0, \"target\": 5}, {\"weight\": 11357, \"source\": 0, \"target\": 8}, {\"weight\": 11687, \"source\": 0, \"target\": 1}, {\"weight\": 16556, \"source\": 0, \"target\": 7}, {\"weight\": 13887, \"source\": 0, \"target\": 6}, {\"weight\": 13895, \"source\": 0, \"target\": 3}, {\"weight\": 18129, \"source\": 0, \"target\": 2}, {\"weight\": 20642, \"source\": 0, \"target\": 4}, {\"weight\": 14221, \"source\": 1, \"target\": 5}, {\"weight\": 1066, \"source\": 1, \"target\": 8}, {\"weight\": 11242, \"source\": 1, \"target\": 7}, {\"weight\": 13687, \"source\": 1, \"target\": 6}, {\"weight\": 17967, \"source\": 1, \"target\": 3}, {\"weight\": 11528, \"source\": 1, \"target\": 2}, {\"weight\": 13351, \"source\": 1, \"target\": 4}, {\"weight\": 12053, \"source\": 2, \"target\": 5}, {\"weight\": 11716, \"source\": 2, \"target\": 8}, {\"weight\": 9960, \"source\": 2, \"target\": 7}, {\"weight\": 10812, \"source\": 2, \"target\": 6}, {\"weight\": 13769, \"source\": 2, \"target\": 3}, {\"weight\": 3073, \"source\": 2, \"target\": 4}, {\"weight\": 5889, \"source\": 3, \"target\": 5}, {\"weight\": 17798, \"source\": 3, \"target\": 8}, {\"weight\": 7539, \"source\": 3, \"target\": 7}, {\"weight\": 4605, \"source\": 3, \"target\": 6}, {\"weight\": 14217, \"source\": 3, \"target\": 4}, {\"weight\": 12501, \"source\": 4, \"target\": 5}, {\"weight\": 13539, \"source\": 4, \"target\": 8}, {\"weight\": 10408, \"source\": 4, \"target\": 7}, {\"weight\": 11260, \"source\": 4, \"target\": 6}, {\"weight\": 14357, \"source\": 5, \"target\": 8}, {\"weight\": 4019, \"source\": 5, \"target\": 7}, {\"weight\": 2430, \"source\": 5, \"target\": 6}, {\"weight\": 13343, \"source\": 6, \"target\": 8}, {\"weight\": 3516, \"source\": 6, \"target\": 7}, {\"weight\": 11148, \"source\": 7, \"target\": 8}]}",
"id": 104,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KAA, USU, MUK, SMR, GMR, YGL, SPI, YZZ, CRK\n- Travel distances (in kilometers) between each pair of airports:\nKAA to YGL: 13630\nKAA to CRK: 11357\nKAA to USU: 11687\nKAA to YZZ: 16556\nKAA to SPI: 13887\nKAA to SMR: 13895\nKAA to MUK: 18129\nKAA to GMR: 20642\nUSU to YGL: 14221\nUSU to CRK: 1066\nUSU to YZZ: 11242\nUSU to SPI: 13687\nUSU to SMR: 17967\nUSU to MUK: 11528\nUSU to GMR: 13351\nMUK to YGL: 12053\nMUK to CRK: 11716\nMUK to YZZ: 9960\nMUK to SPI: 10812\nMUK to SMR: 13769\nMUK to GMR: 3073\nSMR to YGL: 5889\nSMR to CRK: 17798\nSMR to YZZ: 7539\nSMR to SPI: 4605\nSMR to GMR: 14217\nGMR to YGL: 12501\nGMR to CRK: 13539\nGMR to YZZ: 10408\nGMR to SPI: 11260\nYGL to CRK: 14357\nYGL to YZZ: 4019\nYGL to SPI: 2430\nSPI to CRK: 13343\nSPI to YZZ: 3516\nYZZ to CRK: 11148\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, ROC, TNG, NTE, TVC, ILI, RBY, THL, BCI\n- Travel distances (in kilometers) between each pair of airports:\nSKG to TNG: 2685\nSKG to THL: 7958\nSKG to RBY: 12558\nSKG to NTE: 2148\nSKG to ROC: 7943\nSKG to TVC: 8547\nSKG to ILI: 12374\nSKG to BCI: 15142\nROC to TNG: 6115\nROC to THL: 14057\nROC to RBY: 6077\nROC to NTE: 6122\nROC to TVC: 808\nROC to ILI: 5611\nROC to BCI: 16072\nTNG to THL: 10611\nTNG to RBY: 12020\nTNG to NTE: 1325\nTNG to TVC: 6857\nTNG to ILI: 11554\nTNG to BCI: 17648\nNTE to THL: 9809\nNTE to RBY: 10975\nNTE to TVC: 6706\nNTE to ILI: 10791\nNTE to BCI: 16602\nTVC to THL: 14248\nTVC to RBY: 5422\nTVC to ILI: 4956\nTVC to BCI: 15440\nILI to THL: 14643\nILI to RBY: 1090\nILI to BCI: 13229\nRBY to THL: 14827\nRBY to BCI: 13695\nTHL to BCI: 8485\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46580,
"style": "rule"
}
|
{
"exact_answer": 46580,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SKG\", \"id\": 0}, {\"name\": \"ROC\", \"id\": 1}, {\"name\": \"TNG\", \"id\": 2}, {\"name\": \"NTE\", \"id\": 3}, {\"name\": \"TVC\", \"id\": 4}, {\"name\": \"ILI\", \"id\": 5}, {\"name\": \"RBY\", \"id\": 6}, {\"name\": \"THL\", \"id\": 7}, {\"name\": \"BCI\", \"id\": 8}], \"links\": [{\"weight\": 2685, \"source\": 0, \"target\": 2}, {\"weight\": 7958, \"source\": 0, \"target\": 7}, {\"weight\": 12558, \"source\": 0, \"target\": 6}, {\"weight\": 2148, \"source\": 0, \"target\": 3}, {\"weight\": 7943, \"source\": 0, \"target\": 1}, {\"weight\": 8547, \"source\": 0, \"target\": 4}, {\"weight\": 12374, \"source\": 0, \"target\": 5}, {\"weight\": 15142, \"source\": 0, \"target\": 8}, {\"weight\": 6115, \"source\": 1, \"target\": 2}, {\"weight\": 14057, \"source\": 1, \"target\": 7}, {\"weight\": 6077, \"source\": 1, \"target\": 6}, {\"weight\": 6122, \"source\": 1, \"target\": 3}, {\"weight\": 808, \"source\": 1, \"target\": 4}, {\"weight\": 5611, \"source\": 1, \"target\": 5}, {\"weight\": 16072, \"source\": 1, \"target\": 8}, {\"weight\": 10611, \"source\": 2, \"target\": 7}, {\"weight\": 12020, \"source\": 2, \"target\": 6}, {\"weight\": 1325, \"source\": 2, \"target\": 3}, {\"weight\": 6857, \"source\": 2, \"target\": 4}, {\"weight\": 11554, \"source\": 2, \"target\": 5}, {\"weight\": 17648, \"source\": 2, \"target\": 8}, {\"weight\": 9809, \"source\": 3, \"target\": 7}, {\"weight\": 10975, \"source\": 3, \"target\": 6}, {\"weight\": 6706, \"source\": 3, \"target\": 4}, {\"weight\": 10791, \"source\": 3, \"target\": 5}, {\"weight\": 16602, \"source\": 3, \"target\": 8}, {\"weight\": 14248, \"source\": 4, \"target\": 7}, {\"weight\": 5422, \"source\": 4, \"target\": 6}, {\"weight\": 4956, \"source\": 4, \"target\": 5}, {\"weight\": 15440, \"source\": 4, \"target\": 8}, {\"weight\": 14643, \"source\": 5, \"target\": 7}, {\"weight\": 1090, \"source\": 5, \"target\": 6}, {\"weight\": 13229, \"source\": 5, \"target\": 8}, {\"weight\": 14827, \"source\": 6, \"target\": 7}, {\"weight\": 13695, \"source\": 6, \"target\": 8}, {\"weight\": 8485, \"source\": 7, \"target\": 8}]}",
"id": 105,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKG, ROC, TNG, NTE, TVC, ILI, RBY, THL, BCI\n- Travel distances (in kilometers) between each pair of airports:\nSKG to TNG: 2685\nSKG to THL: 7958\nSKG to RBY: 12558\nSKG to NTE: 2148\nSKG to ROC: 7943\nSKG to TVC: 8547\nSKG to ILI: 12374\nSKG to BCI: 15142\nROC to TNG: 6115\nROC to THL: 14057\nROC to RBY: 6077\nROC to NTE: 6122\nROC to TVC: 808\nROC to ILI: 5611\nROC to BCI: 16072\nTNG to THL: 10611\nTNG to RBY: 12020\nTNG to NTE: 1325\nTNG to TVC: 6857\nTNG to ILI: 11554\nTNG to BCI: 17648\nNTE to THL: 9809\nNTE to RBY: 10975\nNTE to TVC: 6706\nNTE to ILI: 10791\nNTE to BCI: 16602\nTVC to THL: 14248\nTVC to RBY: 5422\nTVC to ILI: 4956\nTVC to BCI: 15440\nILI to THL: 14643\nILI to RBY: 1090\nILI to BCI: 13229\nRBY to THL: 14827\nRBY to BCI: 13695\nTHL to BCI: 8485\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSD, JUZ, JTR, AUS, PIK, GOU, TAP, UDI, BZE\n- Travel distances (in kilometers) between each pair of airports:\nKSD to UDI: 10699\nKSD to JTR: 2929\nKSD to BZE: 9473\nKSD to AUS: 8688\nKSD to TAP: 10069\nKSD to JUZ: 8636\nKSD to PIK: 2139\nKSD to GOU: 6280\nJUZ to UDI: 18905\nJUZ to JTR: 9140\nJUZ to BZE: 14694\nJUZ to AUS: 12995\nJUZ to TAP: 14791\nJUZ to PIK: 9932\nJUZ to GOU: 11597\nJTR to UDI: 10436\nJTR to BZE: 10868\nJTR to AUS: 10533\nJTR to TAP: 11472\nJTR to PIK: 3139\nJTR to GOU: 4586\nAUS to UDI: 7811\nAUS to BZE: 1782\nAUS to TAP: 2083\nAUS to PIK: 7707\nAUS to GOU: 12172\nPIK to UDI: 9527\nPIK to BZE: 8209\nPIK to TAP: 8856\nPIK to GOU: 5658\nGOU to UDI: 8250\nGOU to BZE: 12705\nGOU to TAP: 13279\nTAP to UDI: 6330\nTAP to BZE: 647\nUDI to BZE: 6175\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48504,
"style": "rule"
}
|
{
"exact_answer": 48504,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KSD\", \"id\": 0}, {\"name\": \"JUZ\", \"id\": 1}, {\"name\": \"JTR\", \"id\": 2}, {\"name\": \"AUS\", \"id\": 3}, {\"name\": \"PIK\", \"id\": 4}, {\"name\": \"GOU\", \"id\": 5}, {\"name\": \"TAP\", \"id\": 6}, {\"name\": \"UDI\", \"id\": 7}, {\"name\": \"BZE\", \"id\": 8}], \"links\": [{\"weight\": 10699, \"source\": 0, \"target\": 7}, {\"weight\": 2929, \"source\": 0, \"target\": 2}, {\"weight\": 9473, \"source\": 0, \"target\": 8}, {\"weight\": 8688, \"source\": 0, \"target\": 3}, {\"weight\": 10069, \"source\": 0, \"target\": 6}, {\"weight\": 8636, \"source\": 0, \"target\": 1}, {\"weight\": 2139, \"source\": 0, \"target\": 4}, {\"weight\": 6280, \"source\": 0, \"target\": 5}, {\"weight\": 18905, \"source\": 1, \"target\": 7}, {\"weight\": 9140, \"source\": 1, \"target\": 2}, {\"weight\": 14694, \"source\": 1, \"target\": 8}, {\"weight\": 12995, \"source\": 1, \"target\": 3}, {\"weight\": 14791, \"source\": 1, \"target\": 6}, {\"weight\": 9932, \"source\": 1, \"target\": 4}, {\"weight\": 11597, \"source\": 1, \"target\": 5}, {\"weight\": 10436, \"source\": 2, \"target\": 7}, {\"weight\": 10868, \"source\": 2, \"target\": 8}, {\"weight\": 10533, \"source\": 2, \"target\": 3}, {\"weight\": 11472, \"source\": 2, \"target\": 6}, {\"weight\": 3139, \"source\": 2, \"target\": 4}, {\"weight\": 4586, \"source\": 2, \"target\": 5}, {\"weight\": 7811, \"source\": 3, \"target\": 7}, {\"weight\": 1782, \"source\": 3, \"target\": 8}, {\"weight\": 2083, \"source\": 3, \"target\": 6}, {\"weight\": 7707, \"source\": 3, \"target\": 4}, {\"weight\": 12172, \"source\": 3, \"target\": 5}, {\"weight\": 9527, \"source\": 4, \"target\": 7}, {\"weight\": 8209, \"source\": 4, \"target\": 8}, {\"weight\": 8856, \"source\": 4, \"target\": 6}, {\"weight\": 5658, \"source\": 4, \"target\": 5}, {\"weight\": 8250, \"source\": 5, \"target\": 7}, {\"weight\": 12705, \"source\": 5, \"target\": 8}, {\"weight\": 13279, \"source\": 5, \"target\": 6}, {\"weight\": 6330, \"source\": 6, \"target\": 7}, {\"weight\": 647, \"source\": 6, \"target\": 8}, {\"weight\": 6175, \"source\": 7, \"target\": 8}]}",
"id": 106,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSD, JUZ, JTR, AUS, PIK, GOU, TAP, UDI, BZE\n- Travel distances (in kilometers) between each pair of airports:\nKSD to UDI: 10699\nKSD to JTR: 2929\nKSD to BZE: 9473\nKSD to AUS: 8688\nKSD to TAP: 10069\nKSD to JUZ: 8636\nKSD to PIK: 2139\nKSD to GOU: 6280\nJUZ to UDI: 18905\nJUZ to JTR: 9140\nJUZ to BZE: 14694\nJUZ to AUS: 12995\nJUZ to TAP: 14791\nJUZ to PIK: 9932\nJUZ to GOU: 11597\nJTR to UDI: 10436\nJTR to BZE: 10868\nJTR to AUS: 10533\nJTR to TAP: 11472\nJTR to PIK: 3139\nJTR to GOU: 4586\nAUS to UDI: 7811\nAUS to BZE: 1782\nAUS to TAP: 2083\nAUS to PIK: 7707\nAUS to GOU: 12172\nPIK to UDI: 9527\nPIK to BZE: 8209\nPIK to TAP: 8856\nPIK to GOU: 5658\nGOU to UDI: 8250\nGOU to BZE: 12705\nGOU to TAP: 13279\nTAP to UDI: 6330\nTAP to BZE: 647\nUDI to BZE: 6175\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RDM, FCO, NAJ, GDE, BDU, YQL, CMH, HNL, DDG\n- Travel distances (in kilometers) between each pair of airports:\nRDM to FCO: 9494\nRDM to CMH: 3294\nRDM to HNL: 4375\nRDM to YQL: 1254\nRDM to DDG: 9695\nRDM to BDU: 9001\nRDM to GDE: 14623\nRDM to NAJ: 11488\nFCO to CMH: 7575\nFCO to HNL: 13356\nFCO to YQL: 8635\nFCO to DDG: 8798\nFCO to BDU: 3091\nFCO to GDE: 5301\nFCO to NAJ: 2809\nNAJ to CMH: 9971\nNAJ to HNL: 14065\nNAJ to YQL: 10663\nNAJ to DDG: 6655\nNAJ to BDU: 4675\nNAJ to GDE: 4593\nGDE to CMH: 12811\nGDE to HNL: 16714\nGDE to YQL: 13795\nGDE to DDG: 9233\nGDE to BDU: 7809\nBDU to CMH: 7484\nBDU to HNL: 12907\nBDU to YQL: 8176\nBDU to DDG: 8766\nYQL to CMH: 2879\nYQL to HNL: 5218\nYQL to DDG: 10014\nCMH to HNL: 7259\nCMH to DDG: 11546\nHNL to DDG: 8461\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44093,
"style": "rule"
}
|
{
"exact_answer": 44093,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RDM\", \"id\": 0}, {\"name\": \"FCO\", \"id\": 1}, {\"name\": \"NAJ\", \"id\": 2}, {\"name\": \"GDE\", \"id\": 3}, {\"name\": \"BDU\", \"id\": 4}, {\"name\": \"YQL\", \"id\": 5}, {\"name\": \"CMH\", \"id\": 6}, {\"name\": \"HNL\", \"id\": 7}, {\"name\": \"DDG\", \"id\": 8}], \"links\": [{\"weight\": 9494, \"source\": 0, \"target\": 1}, {\"weight\": 3294, \"source\": 0, \"target\": 6}, {\"weight\": 4375, \"source\": 0, \"target\": 7}, {\"weight\": 1254, \"source\": 0, \"target\": 5}, {\"weight\": 9695, \"source\": 0, \"target\": 8}, {\"weight\": 9001, \"source\": 0, \"target\": 4}, {\"weight\": 14623, \"source\": 0, \"target\": 3}, {\"weight\": 11488, \"source\": 0, \"target\": 2}, {\"weight\": 7575, \"source\": 1, \"target\": 6}, {\"weight\": 13356, \"source\": 1, \"target\": 7}, {\"weight\": 8635, \"source\": 1, \"target\": 5}, {\"weight\": 8798, \"source\": 1, \"target\": 8}, {\"weight\": 3091, \"source\": 1, \"target\": 4}, {\"weight\": 5301, \"source\": 1, \"target\": 3}, {\"weight\": 2809, \"source\": 1, \"target\": 2}, {\"weight\": 9971, \"source\": 2, \"target\": 6}, {\"weight\": 14065, \"source\": 2, \"target\": 7}, {\"weight\": 10663, \"source\": 2, \"target\": 5}, {\"weight\": 6655, \"source\": 2, \"target\": 8}, {\"weight\": 4675, \"source\": 2, \"target\": 4}, {\"weight\": 4593, \"source\": 2, \"target\": 3}, {\"weight\": 12811, \"source\": 3, \"target\": 6}, {\"weight\": 16714, \"source\": 3, \"target\": 7}, {\"weight\": 13795, \"source\": 3, \"target\": 5}, {\"weight\": 9233, \"source\": 3, \"target\": 8}, {\"weight\": 7809, \"source\": 3, \"target\": 4}, {\"weight\": 7484, \"source\": 4, \"target\": 6}, {\"weight\": 12907, \"source\": 4, \"target\": 7}, {\"weight\": 8176, \"source\": 4, \"target\": 5}, {\"weight\": 8766, \"source\": 4, \"target\": 8}, {\"weight\": 2879, \"source\": 5, \"target\": 6}, {\"weight\": 5218, \"source\": 5, \"target\": 7}, {\"weight\": 10014, \"source\": 5, \"target\": 8}, {\"weight\": 7259, \"source\": 6, \"target\": 7}, {\"weight\": 11546, \"source\": 6, \"target\": 8}, {\"weight\": 8461, \"source\": 7, \"target\": 8}]}",
"id": 107,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RDM, FCO, NAJ, GDE, BDU, YQL, CMH, HNL, DDG\n- Travel distances (in kilometers) between each pair of airports:\nRDM to FCO: 9494\nRDM to CMH: 3294\nRDM to HNL: 4375\nRDM to YQL: 1254\nRDM to DDG: 9695\nRDM to BDU: 9001\nRDM to GDE: 14623\nRDM to NAJ: 11488\nFCO to CMH: 7575\nFCO to HNL: 13356\nFCO to YQL: 8635\nFCO to DDG: 8798\nFCO to BDU: 3091\nFCO to GDE: 5301\nFCO to NAJ: 2809\nNAJ to CMH: 9971\nNAJ to HNL: 14065\nNAJ to YQL: 10663\nNAJ to DDG: 6655\nNAJ to BDU: 4675\nNAJ to GDE: 4593\nGDE to CMH: 12811\nGDE to HNL: 16714\nGDE to YQL: 13795\nGDE to DDG: 9233\nGDE to BDU: 7809\nBDU to CMH: 7484\nBDU to HNL: 12907\nBDU to YQL: 8176\nBDU to DDG: 8766\nYQL to CMH: 2879\nYQL to HNL: 5218\nYQL to DDG: 10014\nCMH to HNL: 7259\nCMH to DDG: 11546\nHNL to DDG: 8461\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MEA, CPV, BMV, MNS, CYZ, TDX, JNZ, OPO, VLN\n- Travel distances (in kilometers) between each pair of airports:\nMEA to CYZ: 19116\nMEA to VLN: 5083\nMEA to OPO: 7893\nMEA to CPV: 1801\nMEA to BMV: 17759\nMEA to JNZ: 18336\nMEA to MNS: 9166\nMEA to TDX: 17102\nCPV to CYZ: 19379\nCPV to VLN: 5436\nCPV to OPO: 7331\nCPV to BMV: 18495\nCPV to JNZ: 17773\nCPV to MNS: 10370\nCPV to TDX: 17751\nBMV to CYZ: 2045\nBMV to VLN: 17659\nBMV to OPO: 11346\nBMV to JNZ: 3475\nBMV to MNS: 9992\nBMV to TDX: 1206\nMNS to CYZ: 11380\nMNS to VLN: 13213\nMNS to OPO: 7697\nMNS to JNZ: 11877\nMNS to TDX: 9248\nCYZ to VLN: 17324\nCYZ to OPO: 12128\nCYZ to JNZ: 3136\nCYZ to TDX: 2594\nTDX to VLN: 17510\nTDX to OPO: 10795\nTDX to JNZ: 3954\nJNZ to VLN: 15507\nJNZ to OPO: 10495\nOPO to VLN: 7131\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49664,
"style": "rule"
}
|
{
"exact_answer": 49664,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MEA\", \"id\": 0}, {\"name\": \"CPV\", \"id\": 1}, {\"name\": \"BMV\", \"id\": 2}, {\"name\": \"MNS\", \"id\": 3}, {\"name\": \"CYZ\", \"id\": 4}, {\"name\": \"TDX\", \"id\": 5}, {\"name\": \"JNZ\", \"id\": 6}, {\"name\": \"OPO\", \"id\": 7}, {\"name\": \"VLN\", \"id\": 8}], \"links\": [{\"weight\": 19116, \"source\": 0, \"target\": 4}, {\"weight\": 5083, \"source\": 0, \"target\": 8}, {\"weight\": 7893, \"source\": 0, \"target\": 7}, {\"weight\": 1801, \"source\": 0, \"target\": 1}, {\"weight\": 17759, \"source\": 0, \"target\": 2}, {\"weight\": 18336, \"source\": 0, \"target\": 6}, {\"weight\": 9166, \"source\": 0, \"target\": 3}, {\"weight\": 17102, \"source\": 0, \"target\": 5}, {\"weight\": 19379, \"source\": 1, \"target\": 4}, {\"weight\": 5436, \"source\": 1, \"target\": 8}, {\"weight\": 7331, \"source\": 1, \"target\": 7}, {\"weight\": 18495, \"source\": 1, \"target\": 2}, {\"weight\": 17773, \"source\": 1, \"target\": 6}, {\"weight\": 10370, \"source\": 1, \"target\": 3}, {\"weight\": 17751, \"source\": 1, \"target\": 5}, {\"weight\": 2045, \"source\": 2, \"target\": 4}, {\"weight\": 17659, \"source\": 2, \"target\": 8}, {\"weight\": 11346, \"source\": 2, \"target\": 7}, {\"weight\": 3475, \"source\": 2, \"target\": 6}, {\"weight\": 9992, \"source\": 2, \"target\": 3}, {\"weight\": 1206, \"source\": 2, \"target\": 5}, {\"weight\": 11380, \"source\": 3, \"target\": 4}, {\"weight\": 13213, \"source\": 3, \"target\": 8}, {\"weight\": 7697, \"source\": 3, \"target\": 7}, {\"weight\": 11877, \"source\": 3, \"target\": 6}, {\"weight\": 9248, \"source\": 3, \"target\": 5}, {\"weight\": 17324, \"source\": 4, \"target\": 8}, {\"weight\": 12128, \"source\": 4, \"target\": 7}, {\"weight\": 3136, \"source\": 4, \"target\": 6}, {\"weight\": 2594, \"source\": 4, \"target\": 5}, {\"weight\": 17510, \"source\": 5, \"target\": 8}, {\"weight\": 10795, \"source\": 5, \"target\": 7}, {\"weight\": 3954, \"source\": 5, \"target\": 6}, {\"weight\": 15507, \"source\": 6, \"target\": 8}, {\"weight\": 10495, \"source\": 6, \"target\": 7}, {\"weight\": 7131, \"source\": 7, \"target\": 8}]}",
"id": 108,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MEA, CPV, BMV, MNS, CYZ, TDX, JNZ, OPO, VLN\n- Travel distances (in kilometers) between each pair of airports:\nMEA to CYZ: 19116\nMEA to VLN: 5083\nMEA to OPO: 7893\nMEA to CPV: 1801\nMEA to BMV: 17759\nMEA to JNZ: 18336\nMEA to MNS: 9166\nMEA to TDX: 17102\nCPV to CYZ: 19379\nCPV to VLN: 5436\nCPV to OPO: 7331\nCPV to BMV: 18495\nCPV to JNZ: 17773\nCPV to MNS: 10370\nCPV to TDX: 17751\nBMV to CYZ: 2045\nBMV to VLN: 17659\nBMV to OPO: 11346\nBMV to JNZ: 3475\nBMV to MNS: 9992\nBMV to TDX: 1206\nMNS to CYZ: 11380\nMNS to VLN: 13213\nMNS to OPO: 7697\nMNS to JNZ: 11877\nMNS to TDX: 9248\nCYZ to VLN: 17324\nCYZ to OPO: 12128\nCYZ to JNZ: 3136\nCYZ to TDX: 2594\nTDX to VLN: 17510\nTDX to OPO: 10795\nTDX to JNZ: 3954\nJNZ to VLN: 15507\nJNZ to OPO: 10495\nOPO to VLN: 7131\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSN, SNO, GEL, RHD, ADD, JKH, HRB, SXX, RVE\n- Travel distances (in kilometers) between each pair of airports:\nKSN to HRB: 5618\nKSN to RVE: 13047\nKSN to JKH: 4120\nKSN to ADD: 6812\nKSN to RHD: 16164\nKSN to SNO: 6565\nKSN to GEL: 14681\nKSN to SXX: 12868\nSNO to HRB: 4810\nSNO to RVE: 19005\nSNO to JKH: 8642\nSNO to ADD: 7602\nSNO to RHD: 20223\nSNO to GEL: 18721\nSNO to SXX: 18102\nGEL to HRB: 18899\nGEL to RVE: 5902\nGEL to JKH: 11879\nGEL to ADD: 11125\nGEL to RHD: 2197\nGEL to SXX: 3493\nRHD to HRB: 20376\nRHD to RVE: 6413\nRHD to JKH: 13362\nRHD to ADD: 12627\nRHD to SXX: 4963\nADD to HRB: 9318\nADD to RVE: 14149\nADD to JKH: 3777\nADD to SXX: 11149\nJKH to HRB: 8116\nJKH to RVE: 10958\nJKH to SXX: 10070\nHRB to RVE: 16137\nHRB to SXX: 17025\nSXX to RVE: 4657\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56050,
"style": "rule"
}
|
{
"exact_answer": 56050,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KSN\", \"id\": 0}, {\"name\": \"SNO\", \"id\": 1}, {\"name\": \"GEL\", \"id\": 2}, {\"name\": \"RHD\", \"id\": 3}, {\"name\": \"ADD\", \"id\": 4}, {\"name\": \"JKH\", \"id\": 5}, {\"name\": \"HRB\", \"id\": 6}, {\"name\": \"SXX\", \"id\": 7}, {\"name\": \"RVE\", \"id\": 8}], \"links\": [{\"weight\": 5618, \"source\": 0, \"target\": 6}, {\"weight\": 13047, \"source\": 0, \"target\": 8}, {\"weight\": 4120, \"source\": 0, \"target\": 5}, {\"weight\": 6812, \"source\": 0, \"target\": 4}, {\"weight\": 16164, \"source\": 0, \"target\": 3}, {\"weight\": 6565, \"source\": 0, \"target\": 1}, {\"weight\": 14681, \"source\": 0, \"target\": 2}, {\"weight\": 12868, \"source\": 0, \"target\": 7}, {\"weight\": 4810, \"source\": 1, \"target\": 6}, {\"weight\": 19005, \"source\": 1, \"target\": 8}, {\"weight\": 8642, \"source\": 1, \"target\": 5}, {\"weight\": 7602, \"source\": 1, \"target\": 4}, {\"weight\": 20223, \"source\": 1, \"target\": 3}, {\"weight\": 18721, \"source\": 1, \"target\": 2}, {\"weight\": 18102, \"source\": 1, \"target\": 7}, {\"weight\": 18899, \"source\": 2, \"target\": 6}, {\"weight\": 5902, \"source\": 2, \"target\": 8}, {\"weight\": 11879, \"source\": 2, \"target\": 5}, {\"weight\": 11125, \"source\": 2, \"target\": 4}, {\"weight\": 2197, \"source\": 2, \"target\": 3}, {\"weight\": 3493, \"source\": 2, \"target\": 7}, {\"weight\": 20376, \"source\": 3, \"target\": 6}, {\"weight\": 6413, \"source\": 3, \"target\": 8}, {\"weight\": 13362, \"source\": 3, \"target\": 5}, {\"weight\": 12627, \"source\": 3, \"target\": 4}, {\"weight\": 4963, \"source\": 3, \"target\": 7}, {\"weight\": 9318, \"source\": 4, \"target\": 6}, {\"weight\": 14149, \"source\": 4, \"target\": 8}, {\"weight\": 3777, \"source\": 4, \"target\": 5}, {\"weight\": 11149, \"source\": 4, \"target\": 7}, {\"weight\": 8116, \"source\": 5, \"target\": 6}, {\"weight\": 10958, \"source\": 5, \"target\": 8}, {\"weight\": 10070, \"source\": 5, \"target\": 7}, {\"weight\": 16137, \"source\": 6, \"target\": 8}, {\"weight\": 17025, \"source\": 6, \"target\": 7}, {\"weight\": 4657, \"source\": 7, \"target\": 8}]}",
"id": 109,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSN, SNO, GEL, RHD, ADD, JKH, HRB, SXX, RVE\n- Travel distances (in kilometers) between each pair of airports:\nKSN to HRB: 5618\nKSN to RVE: 13047\nKSN to JKH: 4120\nKSN to ADD: 6812\nKSN to RHD: 16164\nKSN to SNO: 6565\nKSN to GEL: 14681\nKSN to SXX: 12868\nSNO to HRB: 4810\nSNO to RVE: 19005\nSNO to JKH: 8642\nSNO to ADD: 7602\nSNO to RHD: 20223\nSNO to GEL: 18721\nSNO to SXX: 18102\nGEL to HRB: 18899\nGEL to RVE: 5902\nGEL to JKH: 11879\nGEL to ADD: 11125\nGEL to RHD: 2197\nGEL to SXX: 3493\nRHD to HRB: 20376\nRHD to RVE: 6413\nRHD to JKH: 13362\nRHD to ADD: 12627\nRHD to SXX: 4963\nADD to HRB: 9318\nADD to RVE: 14149\nADD to JKH: 3777\nADD to SXX: 11149\nJKH to HRB: 8116\nJKH to RVE: 10958\nJKH to SXX: 10070\nHRB to RVE: 16137\nHRB to SXX: 17025\nSXX to RVE: 4657\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBC, TAC, HSN, MCK, IFO, TSN, HLZ, EVG, UIB\n- Travel distances (in kilometers) between each pair of airports:\nYBC to TSN: 12321\nYBC to TAC: 14814\nYBC to UIB: 5364\nYBC to HSN: 12642\nYBC to HLZ: 15146\nYBC to IFO: 7893\nYBC to EVG: 7020\nYBC to MCK: 3518\nTAC to TSN: 3327\nTAC to UIB: 17864\nTAC to HSN: 2453\nTAC to HLZ: 8024\nTAC to IFO: 9834\nTAC to EVG: 10245\nTAC to MCK: 13073\nHSN to TSN: 1119\nHSN to UIB: 16072\nHSN to HLZ: 9620\nHSN to IFO: 8159\nHSN to EVG: 8261\nHSN to MCK: 11300\nMCK to TSN: 10729\nMCK to UIB: 5499\nMCK to HLZ: 12326\nMCK to IFO: 9984\nMCK to EVG: 8543\nIFO to TSN: 7378\nIFO to UIB: 11433\nIFO to HLZ: 17398\nIFO to EVG: 2122\nTSN to UIB: 15524\nTSN to HLZ: 10449\nTSN to EVG: 7695\nHLZ to UIB: 14191\nHLZ to EVG: 17494\nEVG to UIB: 10485\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51305,
"style": "rule"
}
|
{
"exact_answer": 51305,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBC\", \"id\": 0}, {\"name\": \"TAC\", \"id\": 1}, {\"name\": \"HSN\", \"id\": 2}, {\"name\": \"MCK\", \"id\": 3}, {\"name\": \"IFO\", \"id\": 4}, {\"name\": \"TSN\", \"id\": 5}, {\"name\": \"HLZ\", \"id\": 6}, {\"name\": \"EVG\", \"id\": 7}, {\"name\": \"UIB\", \"id\": 8}], \"links\": [{\"weight\": 12321, \"source\": 0, \"target\": 5}, {\"weight\": 14814, \"source\": 0, \"target\": 1}, {\"weight\": 5364, \"source\": 0, \"target\": 8}, {\"weight\": 12642, \"source\": 0, \"target\": 2}, {\"weight\": 15146, \"source\": 0, \"target\": 6}, {\"weight\": 7893, \"source\": 0, \"target\": 4}, {\"weight\": 7020, \"source\": 0, \"target\": 7}, {\"weight\": 3518, \"source\": 0, \"target\": 3}, {\"weight\": 3327, \"source\": 1, \"target\": 5}, {\"weight\": 17864, \"source\": 1, \"target\": 8}, {\"weight\": 2453, \"source\": 1, \"target\": 2}, {\"weight\": 8024, \"source\": 1, \"target\": 6}, {\"weight\": 9834, \"source\": 1, \"target\": 4}, {\"weight\": 10245, \"source\": 1, \"target\": 7}, {\"weight\": 13073, \"source\": 1, \"target\": 3}, {\"weight\": 1119, \"source\": 2, \"target\": 5}, {\"weight\": 16072, \"source\": 2, \"target\": 8}, {\"weight\": 9620, \"source\": 2, \"target\": 6}, {\"weight\": 8159, \"source\": 2, \"target\": 4}, {\"weight\": 8261, \"source\": 2, \"target\": 7}, {\"weight\": 11300, \"source\": 2, \"target\": 3}, {\"weight\": 10729, \"source\": 3, \"target\": 5}, {\"weight\": 5499, \"source\": 3, \"target\": 8}, {\"weight\": 12326, \"source\": 3, \"target\": 6}, {\"weight\": 9984, \"source\": 3, \"target\": 4}, {\"weight\": 8543, \"source\": 3, \"target\": 7}, {\"weight\": 7378, \"source\": 4, \"target\": 5}, {\"weight\": 11433, \"source\": 4, \"target\": 8}, {\"weight\": 17398, \"source\": 4, \"target\": 6}, {\"weight\": 2122, \"source\": 4, \"target\": 7}, {\"weight\": 15524, \"source\": 5, \"target\": 8}, {\"weight\": 10449, \"source\": 5, \"target\": 6}, {\"weight\": 7695, \"source\": 5, \"target\": 7}, {\"weight\": 14191, \"source\": 6, \"target\": 8}, {\"weight\": 17494, \"source\": 6, \"target\": 7}, {\"weight\": 10485, \"source\": 7, \"target\": 8}]}",
"id": 110,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBC, TAC, HSN, MCK, IFO, TSN, HLZ, EVG, UIB\n- Travel distances (in kilometers) between each pair of airports:\nYBC to TSN: 12321\nYBC to TAC: 14814\nYBC to UIB: 5364\nYBC to HSN: 12642\nYBC to HLZ: 15146\nYBC to IFO: 7893\nYBC to EVG: 7020\nYBC to MCK: 3518\nTAC to TSN: 3327\nTAC to UIB: 17864\nTAC to HSN: 2453\nTAC to HLZ: 8024\nTAC to IFO: 9834\nTAC to EVG: 10245\nTAC to MCK: 13073\nHSN to TSN: 1119\nHSN to UIB: 16072\nHSN to HLZ: 9620\nHSN to IFO: 8159\nHSN to EVG: 8261\nHSN to MCK: 11300\nMCK to TSN: 10729\nMCK to UIB: 5499\nMCK to HLZ: 12326\nMCK to IFO: 9984\nMCK to EVG: 8543\nIFO to TSN: 7378\nIFO to UIB: 11433\nIFO to HLZ: 17398\nIFO to EVG: 2122\nTSN to UIB: 15524\nTSN to HLZ: 10449\nTSN to EVG: 7695\nHLZ to UIB: 14191\nHLZ to EVG: 17494\nEVG to UIB: 10485\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKG, VCP, HOU, VLN, KBU, CGR, ODY, YVO, CAI\n- Travel distances (in kilometers) between each pair of airports:\nTKG to CGR: 17747\nTKG to CAI: 8936\nTKG to VLN: 19288\nTKG to HOU: 16742\nTKG to YVO: 16721\nTKG to VCP: 17346\nTKG to KBU: 1310\nTKG to ODY: 2903\nVCP to CGR: 827\nVCP to CAI: 10371\nVCP to VLN: 4670\nVCP to HOU: 8064\nVCP to YVO: 8716\nVCP to KBU: 18449\nVCP to ODY: 17394\nHOU to CGR: 7907\nHOU to CAI: 11305\nHOU to VLN: 3727\nHOU to YVO: 3018\nHOU to KBU: 16303\nHOU to ODY: 14831\nVLN to CGR: 4513\nVLN to CAI: 10828\nVLN to YVO: 4408\nVLN to KBU: 19634\nVLN to ODY: 17558\nKBU to CGR: 18850\nKBU to CAI: 9900\nKBU to YVO: 16650\nKBU to ODY: 3916\nCGR to CAI: 11181\nCGR to YVO: 8689\nCGR to ODY: 18161\nODY to CAI: 7986\nODY to YVO: 14617\nYVO to CAI: 9148\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51186,
"style": "rule"
}
|
{
"exact_answer": 51186,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TKG\", \"id\": 0}, {\"name\": \"VCP\", \"id\": 1}, {\"name\": \"HOU\", \"id\": 2}, {\"name\": \"VLN\", \"id\": 3}, {\"name\": \"KBU\", \"id\": 4}, {\"name\": \"CGR\", \"id\": 5}, {\"name\": \"ODY\", \"id\": 6}, {\"name\": \"YVO\", \"id\": 7}, {\"name\": \"CAI\", \"id\": 8}], \"links\": [{\"weight\": 17747, \"source\": 0, \"target\": 5}, {\"weight\": 8936, \"source\": 0, \"target\": 8}, {\"weight\": 19288, \"source\": 0, \"target\": 3}, {\"weight\": 16742, \"source\": 0, \"target\": 2}, {\"weight\": 16721, \"source\": 0, \"target\": 7}, {\"weight\": 17346, \"source\": 0, \"target\": 1}, {\"weight\": 1310, \"source\": 0, \"target\": 4}, {\"weight\": 2903, \"source\": 0, \"target\": 6}, {\"weight\": 827, \"source\": 1, \"target\": 5}, {\"weight\": 10371, \"source\": 1, \"target\": 8}, {\"weight\": 4670, \"source\": 1, \"target\": 3}, {\"weight\": 8064, \"source\": 1, \"target\": 2}, {\"weight\": 8716, \"source\": 1, \"target\": 7}, {\"weight\": 18449, \"source\": 1, \"target\": 4}, {\"weight\": 17394, \"source\": 1, \"target\": 6}, {\"weight\": 7907, \"source\": 2, \"target\": 5}, {\"weight\": 11305, \"source\": 2, \"target\": 8}, {\"weight\": 3727, \"source\": 2, \"target\": 3}, {\"weight\": 3018, \"source\": 2, \"target\": 7}, {\"weight\": 16303, \"source\": 2, \"target\": 4}, {\"weight\": 14831, \"source\": 2, \"target\": 6}, {\"weight\": 4513, \"source\": 3, \"target\": 5}, {\"weight\": 10828, \"source\": 3, \"target\": 8}, {\"weight\": 4408, \"source\": 3, \"target\": 7}, {\"weight\": 19634, \"source\": 3, \"target\": 4}, {\"weight\": 17558, \"source\": 3, \"target\": 6}, {\"weight\": 18850, \"source\": 4, \"target\": 5}, {\"weight\": 9900, \"source\": 4, \"target\": 8}, {\"weight\": 16650, \"source\": 4, \"target\": 7}, {\"weight\": 3916, \"source\": 4, \"target\": 6}, {\"weight\": 11181, \"source\": 5, \"target\": 8}, {\"weight\": 8689, \"source\": 5, \"target\": 7}, {\"weight\": 18161, \"source\": 5, \"target\": 6}, {\"weight\": 7986, \"source\": 6, \"target\": 8}, {\"weight\": 14617, \"source\": 6, \"target\": 7}, {\"weight\": 9148, \"source\": 7, \"target\": 8}]}",
"id": 111,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKG, VCP, HOU, VLN, KBU, CGR, ODY, YVO, CAI\n- Travel distances (in kilometers) between each pair of airports:\nTKG to CGR: 17747\nTKG to CAI: 8936\nTKG to VLN: 19288\nTKG to HOU: 16742\nTKG to YVO: 16721\nTKG to VCP: 17346\nTKG to KBU: 1310\nTKG to ODY: 2903\nVCP to CGR: 827\nVCP to CAI: 10371\nVCP to VLN: 4670\nVCP to HOU: 8064\nVCP to YVO: 8716\nVCP to KBU: 18449\nVCP to ODY: 17394\nHOU to CGR: 7907\nHOU to CAI: 11305\nHOU to VLN: 3727\nHOU to YVO: 3018\nHOU to KBU: 16303\nHOU to ODY: 14831\nVLN to CGR: 4513\nVLN to CAI: 10828\nVLN to YVO: 4408\nVLN to KBU: 19634\nVLN to ODY: 17558\nKBU to CGR: 18850\nKBU to CAI: 9900\nKBU to YVO: 16650\nKBU to ODY: 3916\nCGR to CAI: 11181\nCGR to YVO: 8689\nCGR to ODY: 18161\nODY to CAI: 7986\nODY to YVO: 14617\nYVO to CAI: 9148\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TSV, GHE, HJR, SDY, BDL, BRS, YUS, LMM, MDK\n- Travel distances (in kilometers) between each pair of airports:\nTSV to BRS: 15645\nTSV to GHE: 17716\nTSV to SDY: 14334\nTSV to BDL: 16702\nTSV to HJR: 9053\nTSV to LMM: 13951\nTSV to MDK: 15383\nTSV to YUS: 8422\nGHE to BRS: 9615\nGHE to SDY: 5701\nGHE to BDL: 4418\nGHE to HJR: 16971\nGHE to LMM: 3838\nGHE to MDK: 13822\nGHE to YUS: 16680\nHJR to BRS: 7857\nHJR to SDY: 13986\nHJR to BDL: 13175\nHJR to LMM: 15193\nHJR to MDK: 8761\nHJR to YUS: 3143\nSDY to BRS: 8269\nSDY to BDL: 3277\nSDY to LMM: 2748\nSDY to MDK: 14086\nSDY to YUS: 12067\nBDL to BRS: 5857\nBDL to LMM: 4172\nBDL to MDK: 11308\nBDL to YUS: 13090\nBRS to LMM: 9324\nBRS to MDK: 7108\nBRS to YUS: 8468\nYUS to LMM: 13274\nYUS to MDK: 11421\nLMM to MDK: 14616\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58629,
"style": "rule"
}
|
{
"exact_answer": 58629,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TSV\", \"id\": 0}, {\"name\": \"GHE\", \"id\": 1}, {\"name\": \"HJR\", \"id\": 2}, {\"name\": \"SDY\", \"id\": 3}, {\"name\": \"BDL\", \"id\": 4}, {\"name\": \"BRS\", \"id\": 5}, {\"name\": \"YUS\", \"id\": 6}, {\"name\": \"LMM\", \"id\": 7}, {\"name\": \"MDK\", \"id\": 8}], \"links\": [{\"weight\": 15645, \"source\": 0, \"target\": 5}, {\"weight\": 17716, \"source\": 0, \"target\": 1}, {\"weight\": 14334, \"source\": 0, \"target\": 3}, {\"weight\": 16702, \"source\": 0, \"target\": 4}, {\"weight\": 9053, \"source\": 0, \"target\": 2}, {\"weight\": 13951, \"source\": 0, \"target\": 7}, {\"weight\": 15383, \"source\": 0, \"target\": 8}, {\"weight\": 8422, \"source\": 0, \"target\": 6}, {\"weight\": 9615, \"source\": 1, \"target\": 5}, {\"weight\": 5701, \"source\": 1, \"target\": 3}, {\"weight\": 4418, \"source\": 1, \"target\": 4}, {\"weight\": 16971, \"source\": 1, \"target\": 2}, {\"weight\": 3838, \"source\": 1, \"target\": 7}, {\"weight\": 13822, \"source\": 1, \"target\": 8}, {\"weight\": 16680, \"source\": 1, \"target\": 6}, {\"weight\": 7857, \"source\": 2, \"target\": 5}, {\"weight\": 13986, \"source\": 2, \"target\": 3}, {\"weight\": 13175, \"source\": 2, \"target\": 4}, {\"weight\": 15193, \"source\": 2, \"target\": 7}, {\"weight\": 8761, \"source\": 2, \"target\": 8}, {\"weight\": 3143, \"source\": 2, \"target\": 6}, {\"weight\": 8269, \"source\": 3, \"target\": 5}, {\"weight\": 3277, \"source\": 3, \"target\": 4}, {\"weight\": 2748, \"source\": 3, \"target\": 7}, {\"weight\": 14086, \"source\": 3, \"target\": 8}, {\"weight\": 12067, \"source\": 3, \"target\": 6}, {\"weight\": 5857, \"source\": 4, \"target\": 5}, {\"weight\": 4172, \"source\": 4, \"target\": 7}, {\"weight\": 11308, \"source\": 4, \"target\": 8}, {\"weight\": 13090, \"source\": 4, \"target\": 6}, {\"weight\": 9324, \"source\": 5, \"target\": 7}, {\"weight\": 7108, \"source\": 5, \"target\": 8}, {\"weight\": 8468, \"source\": 5, \"target\": 6}, {\"weight\": 13274, \"source\": 6, \"target\": 7}, {\"weight\": 11421, \"source\": 6, \"target\": 8}, {\"weight\": 14616, \"source\": 7, \"target\": 8}]}",
"id": 112,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TSV, GHE, HJR, SDY, BDL, BRS, YUS, LMM, MDK\n- Travel distances (in kilometers) between each pair of airports:\nTSV to BRS: 15645\nTSV to GHE: 17716\nTSV to SDY: 14334\nTSV to BDL: 16702\nTSV to HJR: 9053\nTSV to LMM: 13951\nTSV to MDK: 15383\nTSV to YUS: 8422\nGHE to BRS: 9615\nGHE to SDY: 5701\nGHE to BDL: 4418\nGHE to HJR: 16971\nGHE to LMM: 3838\nGHE to MDK: 13822\nGHE to YUS: 16680\nHJR to BRS: 7857\nHJR to SDY: 13986\nHJR to BDL: 13175\nHJR to LMM: 15193\nHJR to MDK: 8761\nHJR to YUS: 3143\nSDY to BRS: 8269\nSDY to BDL: 3277\nSDY to LMM: 2748\nSDY to MDK: 14086\nSDY to YUS: 12067\nBDL to BRS: 5857\nBDL to LMM: 4172\nBDL to MDK: 11308\nBDL to YUS: 13090\nBRS to LMM: 9324\nBRS to MDK: 7108\nBRS to YUS: 8468\nYUS to LMM: 13274\nYUS to MDK: 11421\nLMM to MDK: 14616\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LBP, MRE, YHM, CUL, LBE, CAB, YAC, DAU, ANU\n- Travel distances (in kilometers) between each pair of airports:\nLBP to ANU: 18090\nLBP to CUL: 14794\nLBP to MRE: 9815\nLBP to DAU: 5410\nLBP to CAB: 12283\nLBP to LBE: 16569\nLBP to YHM: 15268\nLBP to YAC: 14331\nMRE to ANU: 13774\nMRE to CUL: 16218\nMRE to DAU: 13892\nMRE to CAB: 3796\nMRE to LBE: 14430\nMRE to YHM: 13413\nMRE to YAC: 14536\nYHM to ANU: 4964\nYHM to CUL: 5756\nYHM to DAU: 16159\nYHM to CAB: 12764\nYHM to LBE: 3842\nYHM to YAC: 3813\nCUL to ANU: 4969\nCUL to DAU: 14199\nCUL to CAB: 14048\nCUL to LBE: 3736\nCUL to YAC: 3884\nLBE to ANU: 3709\nLBE to DAU: 17088\nLBE to CAB: 12697\nLBE to YAC: 3206\nCAB to ANU: 11574\nCAB to DAU: 15892\nCAB to YAC: 12849\nYAC to ANU: 4753\nYAC to DAU: 15222\nDAU to ANU: 18620\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60042,
"style": "rule"
}
|
{
"exact_answer": 60042,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LBP\", \"id\": 0}, {\"name\": \"MRE\", \"id\": 1}, {\"name\": \"YHM\", \"id\": 2}, {\"name\": \"CUL\", \"id\": 3}, {\"name\": \"LBE\", \"id\": 4}, {\"name\": \"CAB\", \"id\": 5}, {\"name\": \"YAC\", \"id\": 6}, {\"name\": \"DAU\", \"id\": 7}, {\"name\": \"ANU\", \"id\": 8}], \"links\": [{\"weight\": 18090, \"source\": 0, \"target\": 8}, {\"weight\": 14794, \"source\": 0, \"target\": 3}, {\"weight\": 9815, \"source\": 0, \"target\": 1}, {\"weight\": 5410, \"source\": 0, \"target\": 7}, {\"weight\": 12283, \"source\": 0, \"target\": 5}, {\"weight\": 16569, \"source\": 0, \"target\": 4}, {\"weight\": 15268, \"source\": 0, \"target\": 2}, {\"weight\": 14331, \"source\": 0, \"target\": 6}, {\"weight\": 13774, \"source\": 1, \"target\": 8}, {\"weight\": 16218, \"source\": 1, \"target\": 3}, {\"weight\": 13892, \"source\": 1, \"target\": 7}, {\"weight\": 3796, \"source\": 1, \"target\": 5}, {\"weight\": 14430, \"source\": 1, \"target\": 4}, {\"weight\": 13413, \"source\": 1, \"target\": 2}, {\"weight\": 14536, \"source\": 1, \"target\": 6}, {\"weight\": 4964, \"source\": 2, \"target\": 8}, {\"weight\": 5756, \"source\": 2, \"target\": 3}, {\"weight\": 16159, \"source\": 2, \"target\": 7}, {\"weight\": 12764, \"source\": 2, \"target\": 5}, {\"weight\": 3842, \"source\": 2, \"target\": 4}, {\"weight\": 3813, \"source\": 2, \"target\": 6}, {\"weight\": 4969, \"source\": 3, \"target\": 8}, {\"weight\": 14199, \"source\": 3, \"target\": 7}, {\"weight\": 14048, \"source\": 3, \"target\": 5}, {\"weight\": 3736, \"source\": 3, \"target\": 4}, {\"weight\": 3884, \"source\": 3, \"target\": 6}, {\"weight\": 3709, \"source\": 4, \"target\": 8}, {\"weight\": 17088, \"source\": 4, \"target\": 7}, {\"weight\": 12697, \"source\": 4, \"target\": 5}, {\"weight\": 3206, \"source\": 4, \"target\": 6}, {\"weight\": 11574, \"source\": 5, \"target\": 8}, {\"weight\": 15892, \"source\": 5, \"target\": 7}, {\"weight\": 12849, \"source\": 5, \"target\": 6}, {\"weight\": 4753, \"source\": 6, \"target\": 8}, {\"weight\": 15222, \"source\": 6, \"target\": 7}, {\"weight\": 18620, \"source\": 7, \"target\": 8}]}",
"id": 113,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LBP, MRE, YHM, CUL, LBE, CAB, YAC, DAU, ANU\n- Travel distances (in kilometers) between each pair of airports:\nLBP to ANU: 18090\nLBP to CUL: 14794\nLBP to MRE: 9815\nLBP to DAU: 5410\nLBP to CAB: 12283\nLBP to LBE: 16569\nLBP to YHM: 15268\nLBP to YAC: 14331\nMRE to ANU: 13774\nMRE to CUL: 16218\nMRE to DAU: 13892\nMRE to CAB: 3796\nMRE to LBE: 14430\nMRE to YHM: 13413\nMRE to YAC: 14536\nYHM to ANU: 4964\nYHM to CUL: 5756\nYHM to DAU: 16159\nYHM to CAB: 12764\nYHM to LBE: 3842\nYHM to YAC: 3813\nCUL to ANU: 4969\nCUL to DAU: 14199\nCUL to CAB: 14048\nCUL to LBE: 3736\nCUL to YAC: 3884\nLBE to ANU: 3709\nLBE to DAU: 17088\nLBE to CAB: 12697\nLBE to YAC: 3206\nCAB to ANU: 11574\nCAB to DAU: 15892\nCAB to YAC: 12849\nYAC to ANU: 4753\nYAC to DAU: 15222\nDAU to ANU: 18620\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MTM, GUW, KWJ, PEN, ARW, CHQ, TNR, KUZ, TCB\n- Travel distances (in kilometers) between each pair of airports:\nMTM to PEN: 13944\nMTM to TCB: 5768\nMTM to CHQ: 11359\nMTM to TNR: 17872\nMTM to GUW: 11673\nMTM to KUZ: 9090\nMTM to KWJ: 10112\nMTM to ARW: 10668\nGUW to PEN: 6942\nGUW to TCB: 10883\nGUW to CHQ: 2765\nGUW to TNR: 7588\nGUW to KUZ: 6905\nGUW to KWJ: 6476\nGUW to ARW: 4455\nKWJ to PEN: 4325\nKWJ to TCB: 13327\nKWJ to CHQ: 9078\nKWJ to TNR: 10452\nKWJ to KUZ: 12109\nKWJ to ARW: 10126\nPEN to TCB: 16998\nPEN to CHQ: 8846\nPEN to TNR: 6853\nPEN to KUZ: 13296\nPEN to ARW: 10836\nARW to TCB: 9376\nARW to CHQ: 2551\nARW to TNR: 9231\nARW to KUZ: 5900\nCHQ to TCB: 10137\nCHQ to TNR: 7147\nCHQ to KUZ: 6510\nTNR to TCB: 16325\nTNR to KUZ: 13081\nKUZ to TCB: 8313\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54175,
"style": "rule"
}
|
{
"exact_answer": 54175,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MTM\", \"id\": 0}, {\"name\": \"GUW\", \"id\": 1}, {\"name\": \"KWJ\", \"id\": 2}, {\"name\": \"PEN\", \"id\": 3}, {\"name\": \"ARW\", \"id\": 4}, {\"name\": \"CHQ\", \"id\": 5}, {\"name\": \"TNR\", \"id\": 6}, {\"name\": \"KUZ\", \"id\": 7}, {\"name\": \"TCB\", \"id\": 8}], \"links\": [{\"weight\": 13944, \"source\": 0, \"target\": 3}, {\"weight\": 5768, \"source\": 0, \"target\": 8}, {\"weight\": 11359, \"source\": 0, \"target\": 5}, {\"weight\": 17872, \"source\": 0, \"target\": 6}, {\"weight\": 11673, \"source\": 0, \"target\": 1}, {\"weight\": 9090, \"source\": 0, \"target\": 7}, {\"weight\": 10112, \"source\": 0, \"target\": 2}, {\"weight\": 10668, \"source\": 0, \"target\": 4}, {\"weight\": 6942, \"source\": 1, \"target\": 3}, {\"weight\": 10883, \"source\": 1, \"target\": 8}, {\"weight\": 2765, \"source\": 1, \"target\": 5}, {\"weight\": 7588, \"source\": 1, \"target\": 6}, {\"weight\": 6905, \"source\": 1, \"target\": 7}, {\"weight\": 6476, \"source\": 1, \"target\": 2}, {\"weight\": 4455, \"source\": 1, \"target\": 4}, {\"weight\": 4325, \"source\": 2, \"target\": 3}, {\"weight\": 13327, \"source\": 2, \"target\": 8}, {\"weight\": 9078, \"source\": 2, \"target\": 5}, {\"weight\": 10452, \"source\": 2, \"target\": 6}, {\"weight\": 12109, \"source\": 2, \"target\": 7}, {\"weight\": 10126, \"source\": 2, \"target\": 4}, {\"weight\": 16998, \"source\": 3, \"target\": 8}, {\"weight\": 8846, \"source\": 3, \"target\": 5}, {\"weight\": 6853, \"source\": 3, \"target\": 6}, {\"weight\": 13296, \"source\": 3, \"target\": 7}, {\"weight\": 10836, \"source\": 3, \"target\": 4}, {\"weight\": 9376, \"source\": 4, \"target\": 8}, {\"weight\": 2551, \"source\": 4, \"target\": 5}, {\"weight\": 9231, \"source\": 4, \"target\": 6}, {\"weight\": 5900, \"source\": 4, \"target\": 7}, {\"weight\": 10137, \"source\": 5, \"target\": 8}, {\"weight\": 7147, \"source\": 5, \"target\": 6}, {\"weight\": 6510, \"source\": 5, \"target\": 7}, {\"weight\": 16325, \"source\": 6, \"target\": 8}, {\"weight\": 13081, \"source\": 6, \"target\": 7}, {\"weight\": 8313, \"source\": 7, \"target\": 8}]}",
"id": 114,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MTM, GUW, KWJ, PEN, ARW, CHQ, TNR, KUZ, TCB\n- Travel distances (in kilometers) between each pair of airports:\nMTM to PEN: 13944\nMTM to TCB: 5768\nMTM to CHQ: 11359\nMTM to TNR: 17872\nMTM to GUW: 11673\nMTM to KUZ: 9090\nMTM to KWJ: 10112\nMTM to ARW: 10668\nGUW to PEN: 6942\nGUW to TCB: 10883\nGUW to CHQ: 2765\nGUW to TNR: 7588\nGUW to KUZ: 6905\nGUW to KWJ: 6476\nGUW to ARW: 4455\nKWJ to PEN: 4325\nKWJ to TCB: 13327\nKWJ to CHQ: 9078\nKWJ to TNR: 10452\nKWJ to KUZ: 12109\nKWJ to ARW: 10126\nPEN to TCB: 16998\nPEN to CHQ: 8846\nPEN to TNR: 6853\nPEN to KUZ: 13296\nPEN to ARW: 10836\nARW to TCB: 9376\nARW to CHQ: 2551\nARW to TNR: 9231\nARW to KUZ: 5900\nCHQ to TCB: 10137\nCHQ to TNR: 7147\nCHQ to KUZ: 6510\nTNR to TCB: 16325\nTNR to KUZ: 13081\nKUZ to TCB: 8313\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GZP, EAR, SBH, BBA, MQJ, SHW, QUB, LCX, ANR\n- Travel distances (in kilometers) between each pair of airports:\nGZP to SBH: 9595\nGZP to ANR: 3387\nGZP to BBA: 15173\nGZP to LCX: 8985\nGZP to QUB: 2965\nGZP to MQJ: 7894\nGZP to SHW: 3380\nGZP to EAR: 10959\nEAR to SBH: 5183\nEAR to ANR: 8437\nEAR to BBA: 10781\nEAR to LCX: 12216\nEAR to QUB: 11029\nEAR to MQJ: 13615\nEAR to SHW: 13622\nSBH to ANR: 7411\nSBH to BBA: 7514\nSBH to LCX: 15555\nSBH to QUB: 9434\nSBH to MQJ: 14386\nSBH to SHW: 12138\nBBA to ANR: 13677\nBBA to LCX: 21463\nBBA to QUB: 14156\nBBA to MQJ: 20849\nBBA to SHW: 15517\nMQJ to ANR: 8064\nMQJ to LCX: 5101\nMQJ to QUB: 9559\nMQJ to SHW: 9089\nSHW to ANR: 5983\nSHW to LCX: 8877\nSHW to QUB: 4471\nQUB to ANR: 3337\nQUB to LCX: 11102\nLCX to ANR: 10267\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61794,
"style": "rule"
}
|
{
"exact_answer": 61794,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GZP\", \"id\": 0}, {\"name\": \"EAR\", \"id\": 1}, {\"name\": \"SBH\", \"id\": 2}, {\"name\": \"BBA\", \"id\": 3}, {\"name\": \"MQJ\", \"id\": 4}, {\"name\": \"SHW\", \"id\": 5}, {\"name\": \"QUB\", \"id\": 6}, {\"name\": \"LCX\", \"id\": 7}, {\"name\": \"ANR\", \"id\": 8}], \"links\": [{\"weight\": 9595, \"source\": 0, \"target\": 2}, {\"weight\": 3387, \"source\": 0, \"target\": 8}, {\"weight\": 15173, \"source\": 0, \"target\": 3}, {\"weight\": 8985, \"source\": 0, \"target\": 7}, {\"weight\": 2965, \"source\": 0, \"target\": 6}, {\"weight\": 7894, \"source\": 0, \"target\": 4}, {\"weight\": 3380, \"source\": 0, \"target\": 5}, {\"weight\": 10959, \"source\": 0, \"target\": 1}, {\"weight\": 5183, \"source\": 1, \"target\": 2}, {\"weight\": 8437, \"source\": 1, \"target\": 8}, {\"weight\": 10781, \"source\": 1, \"target\": 3}, {\"weight\": 12216, \"source\": 1, \"target\": 7}, {\"weight\": 11029, \"source\": 1, \"target\": 6}, {\"weight\": 13615, \"source\": 1, \"target\": 4}, {\"weight\": 13622, \"source\": 1, \"target\": 5}, {\"weight\": 7411, \"source\": 2, \"target\": 8}, {\"weight\": 7514, \"source\": 2, \"target\": 3}, {\"weight\": 15555, \"source\": 2, \"target\": 7}, {\"weight\": 9434, \"source\": 2, \"target\": 6}, {\"weight\": 14386, \"source\": 2, \"target\": 4}, {\"weight\": 12138, \"source\": 2, \"target\": 5}, {\"weight\": 13677, \"source\": 3, \"target\": 8}, {\"weight\": 21463, \"source\": 3, \"target\": 7}, {\"weight\": 14156, \"source\": 3, \"target\": 6}, {\"weight\": 20849, \"source\": 3, \"target\": 4}, {\"weight\": 15517, \"source\": 3, \"target\": 5}, {\"weight\": 8064, \"source\": 4, \"target\": 8}, {\"weight\": 5101, \"source\": 4, \"target\": 7}, {\"weight\": 9559, \"source\": 4, \"target\": 6}, {\"weight\": 9089, \"source\": 4, \"target\": 5}, {\"weight\": 5983, \"source\": 5, \"target\": 8}, {\"weight\": 8877, \"source\": 5, \"target\": 7}, {\"weight\": 4471, \"source\": 5, \"target\": 6}, {\"weight\": 3337, \"source\": 6, \"target\": 8}, {\"weight\": 11102, \"source\": 6, \"target\": 7}, {\"weight\": 10267, \"source\": 7, \"target\": 8}]}",
"id": 115,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GZP, EAR, SBH, BBA, MQJ, SHW, QUB, LCX, ANR\n- Travel distances (in kilometers) between each pair of airports:\nGZP to SBH: 9595\nGZP to ANR: 3387\nGZP to BBA: 15173\nGZP to LCX: 8985\nGZP to QUB: 2965\nGZP to MQJ: 7894\nGZP to SHW: 3380\nGZP to EAR: 10959\nEAR to SBH: 5183\nEAR to ANR: 8437\nEAR to BBA: 10781\nEAR to LCX: 12216\nEAR to QUB: 11029\nEAR to MQJ: 13615\nEAR to SHW: 13622\nSBH to ANR: 7411\nSBH to BBA: 7514\nSBH to LCX: 15555\nSBH to QUB: 9434\nSBH to MQJ: 14386\nSBH to SHW: 12138\nBBA to ANR: 13677\nBBA to LCX: 21463\nBBA to QUB: 14156\nBBA to MQJ: 20849\nBBA to SHW: 15517\nMQJ to ANR: 8064\nMQJ to LCX: 5101\nMQJ to QUB: 9559\nMQJ to SHW: 9089\nSHW to ANR: 5983\nSHW to LCX: 8877\nSHW to QUB: 4471\nQUB to ANR: 3337\nQUB to LCX: 11102\nLCX to ANR: 10267\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MPH, LIL, STI, HMV, ATL, LBJ, SHL, MFR, HOT\n- Travel distances (in kilometers) between each pair of airports:\nMPH to HMV: 10365\nMPH to ATL: 14357\nMPH to LIL: 11151\nMPH to MFR: 11455\nMPH to STI: 16370\nMPH to SHL: 4555\nMPH to LBJ: 3488\nMPH to HOT: 14214\nLIL to HMV: 2703\nLIL to ATL: 7602\nLIL to MFR: 9216\nLIL to STI: 8017\nLIL to SHL: 8469\nLIL to LBJ: 12980\nLIL to HOT: 8144\nSTI to HMV: 9277\nSTI to ATL: 2092\nSTI to MFR: 5507\nSTI to SHL: 15777\nSTI to LBJ: 19196\nSTI to HOT: 2883\nHMV to ATL: 8203\nHMV to MFR: 9228\nHMV to SHL: 8096\nHMV to LBJ: 12482\nHMV to HOT: 8624\nATL to MFR: 3471\nATL to SHL: 14661\nATL to LBJ: 17131\nATL to HOT: 823\nLBJ to MFR: 14229\nLBJ to SHL: 5586\nLBJ to HOT: 16988\nSHL to MFR: 13328\nSHL to HOT: 14908\nMFR to HOT: 3048\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45308,
"style": "rule"
}
|
{
"exact_answer": 45308,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MPH\", \"id\": 0}, {\"name\": \"LIL\", \"id\": 1}, {\"name\": \"STI\", \"id\": 2}, {\"name\": \"HMV\", \"id\": 3}, {\"name\": \"ATL\", \"id\": 4}, {\"name\": \"LBJ\", \"id\": 5}, {\"name\": \"SHL\", \"id\": 6}, {\"name\": \"MFR\", \"id\": 7}, {\"name\": \"HOT\", \"id\": 8}], \"links\": [{\"weight\": 10365, \"source\": 0, \"target\": 3}, {\"weight\": 14357, \"source\": 0, \"target\": 4}, {\"weight\": 11151, \"source\": 0, \"target\": 1}, {\"weight\": 11455, \"source\": 0, \"target\": 7}, {\"weight\": 16370, \"source\": 0, \"target\": 2}, {\"weight\": 4555, \"source\": 0, \"target\": 6}, {\"weight\": 3488, \"source\": 0, \"target\": 5}, {\"weight\": 14214, \"source\": 0, \"target\": 8}, {\"weight\": 2703, \"source\": 1, \"target\": 3}, {\"weight\": 7602, \"source\": 1, \"target\": 4}, {\"weight\": 9216, \"source\": 1, \"target\": 7}, {\"weight\": 8017, \"source\": 1, \"target\": 2}, {\"weight\": 8469, \"source\": 1, \"target\": 6}, {\"weight\": 12980, \"source\": 1, \"target\": 5}, {\"weight\": 8144, \"source\": 1, \"target\": 8}, {\"weight\": 9277, \"source\": 2, \"target\": 3}, {\"weight\": 2092, \"source\": 2, \"target\": 4}, {\"weight\": 5507, \"source\": 2, \"target\": 7}, {\"weight\": 15777, \"source\": 2, \"target\": 6}, {\"weight\": 19196, \"source\": 2, \"target\": 5}, {\"weight\": 2883, \"source\": 2, \"target\": 8}, {\"weight\": 8203, \"source\": 3, \"target\": 4}, {\"weight\": 9228, \"source\": 3, \"target\": 7}, {\"weight\": 8096, \"source\": 3, \"target\": 6}, {\"weight\": 12482, \"source\": 3, \"target\": 5}, {\"weight\": 8624, \"source\": 3, \"target\": 8}, {\"weight\": 3471, \"source\": 4, \"target\": 7}, {\"weight\": 14661, \"source\": 4, \"target\": 6}, {\"weight\": 17131, \"source\": 4, \"target\": 5}, {\"weight\": 823, \"source\": 4, \"target\": 8}, {\"weight\": 14229, \"source\": 5, \"target\": 7}, {\"weight\": 5586, \"source\": 5, \"target\": 6}, {\"weight\": 16988, \"source\": 5, \"target\": 8}, {\"weight\": 13328, \"source\": 6, \"target\": 7}, {\"weight\": 14908, \"source\": 6, \"target\": 8}, {\"weight\": 3048, \"source\": 7, \"target\": 8}]}",
"id": 116,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MPH, LIL, STI, HMV, ATL, LBJ, SHL, MFR, HOT\n- Travel distances (in kilometers) between each pair of airports:\nMPH to HMV: 10365\nMPH to ATL: 14357\nMPH to LIL: 11151\nMPH to MFR: 11455\nMPH to STI: 16370\nMPH to SHL: 4555\nMPH to LBJ: 3488\nMPH to HOT: 14214\nLIL to HMV: 2703\nLIL to ATL: 7602\nLIL to MFR: 9216\nLIL to STI: 8017\nLIL to SHL: 8469\nLIL to LBJ: 12980\nLIL to HOT: 8144\nSTI to HMV: 9277\nSTI to ATL: 2092\nSTI to MFR: 5507\nSTI to SHL: 15777\nSTI to LBJ: 19196\nSTI to HOT: 2883\nHMV to ATL: 8203\nHMV to MFR: 9228\nHMV to SHL: 8096\nHMV to LBJ: 12482\nHMV to HOT: 8624\nATL to MFR: 3471\nATL to SHL: 14661\nATL to LBJ: 17131\nATL to HOT: 823\nLBJ to MFR: 14229\nLBJ to SHL: 5586\nLBJ to HOT: 16988\nSHL to MFR: 13328\nSHL to HOT: 14908\nMFR to HOT: 3048\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, NYM, UBJ, EAM, HSL, ILD, USK, YKS, VOG\n- Travel distances (in kilometers) between each pair of airports:\nILO to YKS: 5798\nILO to NYM: 7888\nILO to USK: 8778\nILO to HSL: 13965\nILO to VOG: 8490\nILO to ILD: 12057\nILO to UBJ: 3645\nILO to EAM: 9031\nNYM to YKS: 4619\nNYM to USK: 2522\nNYM to HSL: 14231\nNYM to VOG: 3028\nNYM to ILD: 5585\nNYM to UBJ: 6327\nNYM to EAM: 5787\nUBJ to YKS: 3338\nUBJ to USK: 7216\nUBJ to HSL: 11376\nUBJ to VOG: 7547\nUBJ to ILD: 10596\nUBJ to EAM: 8886\nEAM to YKS: 8225\nEAM to USK: 5993\nEAM to HSL: 15888\nEAM to VOG: 3843\nEAM to ILD: 5175\nHSL to YKS: 13549\nHSL to USK: 12967\nHSL to VOG: 12917\nHSL to ILD: 12181\nILD to YKS: 8101\nILD to USK: 4805\nILD to VOG: 3826\nUSK to YKS: 5485\nUSK to VOG: 2499\nYKS to VOG: 5753\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51658,
"style": "rule"
}
|
{
"exact_answer": 51658,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ILO\", \"id\": 0}, {\"name\": \"NYM\", \"id\": 1}, {\"name\": \"UBJ\", \"id\": 2}, {\"name\": \"EAM\", \"id\": 3}, {\"name\": \"HSL\", \"id\": 4}, {\"name\": \"ILD\", \"id\": 5}, {\"name\": \"USK\", \"id\": 6}, {\"name\": \"YKS\", \"id\": 7}, {\"name\": \"VOG\", \"id\": 8}], \"links\": [{\"weight\": 5798, \"source\": 0, \"target\": 7}, {\"weight\": 7888, \"source\": 0, \"target\": 1}, {\"weight\": 8778, \"source\": 0, \"target\": 6}, {\"weight\": 13965, \"source\": 0, \"target\": 4}, {\"weight\": 8490, \"source\": 0, \"target\": 8}, {\"weight\": 12057, \"source\": 0, \"target\": 5}, {\"weight\": 3645, \"source\": 0, \"target\": 2}, {\"weight\": 9031, \"source\": 0, \"target\": 3}, {\"weight\": 4619, \"source\": 1, \"target\": 7}, {\"weight\": 2522, \"source\": 1, \"target\": 6}, {\"weight\": 14231, \"source\": 1, \"target\": 4}, {\"weight\": 3028, \"source\": 1, \"target\": 8}, {\"weight\": 5585, \"source\": 1, \"target\": 5}, {\"weight\": 6327, \"source\": 1, \"target\": 2}, {\"weight\": 5787, \"source\": 1, \"target\": 3}, {\"weight\": 3338, \"source\": 2, \"target\": 7}, {\"weight\": 7216, \"source\": 2, \"target\": 6}, {\"weight\": 11376, \"source\": 2, \"target\": 4}, {\"weight\": 7547, \"source\": 2, \"target\": 8}, {\"weight\": 10596, \"source\": 2, \"target\": 5}, {\"weight\": 8886, \"source\": 2, \"target\": 3}, {\"weight\": 8225, \"source\": 3, \"target\": 7}, {\"weight\": 5993, \"source\": 3, \"target\": 6}, {\"weight\": 15888, \"source\": 3, \"target\": 4}, {\"weight\": 3843, \"source\": 3, \"target\": 8}, {\"weight\": 5175, \"source\": 3, \"target\": 5}, {\"weight\": 13549, \"source\": 4, \"target\": 7}, {\"weight\": 12967, \"source\": 4, \"target\": 6}, {\"weight\": 12917, \"source\": 4, \"target\": 8}, {\"weight\": 12181, \"source\": 4, \"target\": 5}, {\"weight\": 8101, \"source\": 5, \"target\": 7}, {\"weight\": 4805, \"source\": 5, \"target\": 6}, {\"weight\": 3826, \"source\": 5, \"target\": 8}, {\"weight\": 5485, \"source\": 6, \"target\": 7}, {\"weight\": 2499, \"source\": 6, \"target\": 8}, {\"weight\": 5753, \"source\": 7, \"target\": 8}]}",
"id": 117,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, NYM, UBJ, EAM, HSL, ILD, USK, YKS, VOG\n- Travel distances (in kilometers) between each pair of airports:\nILO to YKS: 5798\nILO to NYM: 7888\nILO to USK: 8778\nILO to HSL: 13965\nILO to VOG: 8490\nILO to ILD: 12057\nILO to UBJ: 3645\nILO to EAM: 9031\nNYM to YKS: 4619\nNYM to USK: 2522\nNYM to HSL: 14231\nNYM to VOG: 3028\nNYM to ILD: 5585\nNYM to UBJ: 6327\nNYM to EAM: 5787\nUBJ to YKS: 3338\nUBJ to USK: 7216\nUBJ to HSL: 11376\nUBJ to VOG: 7547\nUBJ to ILD: 10596\nUBJ to EAM: 8886\nEAM to YKS: 8225\nEAM to USK: 5993\nEAM to HSL: 15888\nEAM to VOG: 3843\nEAM to ILD: 5175\nHSL to YKS: 13549\nHSL to USK: 12967\nHSL to VOG: 12917\nHSL to ILD: 12181\nILD to YKS: 8101\nILD to USK: 4805\nILD to VOG: 3826\nUSK to YKS: 5485\nUSK to VOG: 2499\nYKS to VOG: 5753\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VKG, ADQ, DRO, VQS, XCH, GGG, KLG, ADB\n- Travel distances (in kilometers) between each pair of airports:\nTGC to ADQ: 15406\nTGC to KLG: 15552\nTGC to ADB: 9590\nTGC to VQS: 18304\nTGC to DRO: 14751\nTGC to GGG: 15603\nTGC to XCH: 6703\nTGC to VKG: 2113\nVKG to ADQ: 14856\nVKG to KLG: 15002\nVKG to ADB: 8567\nVKG to VQS: 17207\nVKG to DRO: 14145\nVKG to GGG: 14965\nVKG to XCH: 7718\nADQ to KLG: 958\nADQ to ADB: 12893\nADQ to VQS: 8374\nADQ to DRO: 4672\nADQ to GGG: 5526\nADQ to XCH: 18651\nDRO to KLG: 4818\nDRO to ADB: 10456\nDRO to VQS: 4627\nDRO to GGG: 1308\nDRO to XCH: 18910\nVQS to KLG: 8520\nVQS to ADB: 9301\nVQS to GGG: 3769\nVQS to XCH: 23077\nXCH to KLG: 18797\nXCH to ADB: 14696\nXCH to GGG: 19808\nGGG to KLG: 5672\nGGG to ADB: 10448\nKLG to ADB: 13039\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56188,
"style": "rule"
}
|
{
"exact_answer": 56188,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGC\", \"id\": 0}, {\"name\": \"VKG\", \"id\": 1}, {\"name\": \"ADQ\", \"id\": 2}, {\"name\": \"DRO\", \"id\": 3}, {\"name\": \"VQS\", \"id\": 4}, {\"name\": \"XCH\", \"id\": 5}, {\"name\": \"GGG\", \"id\": 6}, {\"name\": \"KLG\", \"id\": 7}, {\"name\": \"ADB\", \"id\": 8}], \"links\": [{\"weight\": 15406, \"source\": 0, \"target\": 2}, {\"weight\": 15552, \"source\": 0, \"target\": 7}, {\"weight\": 9590, \"source\": 0, \"target\": 8}, {\"weight\": 18304, \"source\": 0, \"target\": 4}, {\"weight\": 14751, \"source\": 0, \"target\": 3}, {\"weight\": 15603, \"source\": 0, \"target\": 6}, {\"weight\": 6703, \"source\": 0, \"target\": 5}, {\"weight\": 2113, \"source\": 0, \"target\": 1}, {\"weight\": 14856, \"source\": 1, \"target\": 2}, {\"weight\": 15002, \"source\": 1, \"target\": 7}, {\"weight\": 8567, \"source\": 1, \"target\": 8}, {\"weight\": 17207, \"source\": 1, \"target\": 4}, {\"weight\": 14145, \"source\": 1, \"target\": 3}, {\"weight\": 14965, \"source\": 1, \"target\": 6}, {\"weight\": 7718, \"source\": 1, \"target\": 5}, {\"weight\": 958, \"source\": 2, \"target\": 7}, {\"weight\": 12893, \"source\": 2, \"target\": 8}, {\"weight\": 8374, \"source\": 2, \"target\": 4}, {\"weight\": 4672, \"source\": 2, \"target\": 3}, {\"weight\": 5526, \"source\": 2, \"target\": 6}, {\"weight\": 18651, \"source\": 2, \"target\": 5}, {\"weight\": 4818, \"source\": 3, \"target\": 7}, {\"weight\": 10456, \"source\": 3, \"target\": 8}, {\"weight\": 4627, \"source\": 3, \"target\": 4}, {\"weight\": 1308, \"source\": 3, \"target\": 6}, {\"weight\": 18910, \"source\": 3, \"target\": 5}, {\"weight\": 8520, \"source\": 4, \"target\": 7}, {\"weight\": 9301, \"source\": 4, \"target\": 8}, {\"weight\": 3769, \"source\": 4, \"target\": 6}, {\"weight\": 23077, \"source\": 4, \"target\": 5}, {\"weight\": 18797, \"source\": 5, \"target\": 7}, {\"weight\": 14696, \"source\": 5, \"target\": 8}, {\"weight\": 19808, \"source\": 5, \"target\": 6}, {\"weight\": 5672, \"source\": 6, \"target\": 7}, {\"weight\": 10448, \"source\": 6, \"target\": 8}, {\"weight\": 13039, \"source\": 7, \"target\": 8}]}",
"id": 118,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VKG, ADQ, DRO, VQS, XCH, GGG, KLG, ADB\n- Travel distances (in kilometers) between each pair of airports:\nTGC to ADQ: 15406\nTGC to KLG: 15552\nTGC to ADB: 9590\nTGC to VQS: 18304\nTGC to DRO: 14751\nTGC to GGG: 15603\nTGC to XCH: 6703\nTGC to VKG: 2113\nVKG to ADQ: 14856\nVKG to KLG: 15002\nVKG to ADB: 8567\nVKG to VQS: 17207\nVKG to DRO: 14145\nVKG to GGG: 14965\nVKG to XCH: 7718\nADQ to KLG: 958\nADQ to ADB: 12893\nADQ to VQS: 8374\nADQ to DRO: 4672\nADQ to GGG: 5526\nADQ to XCH: 18651\nDRO to KLG: 4818\nDRO to ADB: 10456\nDRO to VQS: 4627\nDRO to GGG: 1308\nDRO to XCH: 18910\nVQS to KLG: 8520\nVQS to ADB: 9301\nVQS to GGG: 3769\nVQS to XCH: 23077\nXCH to KLG: 18797\nXCH to ADB: 14696\nXCH to GGG: 19808\nGGG to KLG: 5672\nGGG to ADB: 10448\nKLG to ADB: 13039\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FTA, CBQ, VLC, FAV, LRH, BOJ, CMW, GFF, MXV\n- Travel distances (in kilometers) between each pair of airports:\nFTA to LRH: 17964\nFTA to VLC: 18446\nFTA to CMW: 14594\nFTA to BOJ: 16794\nFTA to MXV: 11061\nFTA to FAV: 5934\nFTA to CBQ: 18851\nFTA to GFF: 3276\nCBQ to LRH: 5309\nCBQ to VLC: 4387\nCBQ to CMW: 11846\nCBQ to BOJ: 5388\nCBQ to MXV: 10829\nCBQ to FAV: 18012\nCBQ to GFF: 16517\nVLC to LRH: 1402\nVLC to CMW: 8246\nVLC to BOJ: 2362\nVLC to MXV: 8248\nVLC to FAV: 16734\nVLC to GFF: 17912\nFAV to LRH: 16413\nFAV to CMW: 11478\nFAV to BOJ: 17892\nFAV to MXV: 13259\nFAV to GFF: 7050\nLRH to CMW: 8616\nLRH to BOJ: 2335\nLRH to MXV: 7807\nLRH to GFF: 17843\nBOJ to CMW: 10226\nBOJ to MXV: 6586\nBOJ to GFF: 16251\nCMW to MXV: 14509\nCMW to GFF: 16945\nGFF to MXV: 10902\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57969,
"style": "rule"
}
|
{
"exact_answer": 57969,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FTA\", \"id\": 0}, {\"name\": \"CBQ\", \"id\": 1}, {\"name\": \"VLC\", \"id\": 2}, {\"name\": \"FAV\", \"id\": 3}, {\"name\": \"LRH\", \"id\": 4}, {\"name\": \"BOJ\", \"id\": 5}, {\"name\": \"CMW\", \"id\": 6}, {\"name\": \"GFF\", \"id\": 7}, {\"name\": \"MXV\", \"id\": 8}], \"links\": [{\"weight\": 17964, \"source\": 0, \"target\": 4}, {\"weight\": 18446, \"source\": 0, \"target\": 2}, {\"weight\": 14594, \"source\": 0, \"target\": 6}, {\"weight\": 16794, \"source\": 0, \"target\": 5}, {\"weight\": 11061, \"source\": 0, \"target\": 8}, {\"weight\": 5934, \"source\": 0, \"target\": 3}, {\"weight\": 18851, \"source\": 0, \"target\": 1}, {\"weight\": 3276, \"source\": 0, \"target\": 7}, {\"weight\": 5309, \"source\": 1, \"target\": 4}, {\"weight\": 4387, \"source\": 1, \"target\": 2}, {\"weight\": 11846, \"source\": 1, \"target\": 6}, {\"weight\": 5388, \"source\": 1, \"target\": 5}, {\"weight\": 10829, \"source\": 1, \"target\": 8}, {\"weight\": 18012, \"source\": 1, \"target\": 3}, {\"weight\": 16517, \"source\": 1, \"target\": 7}, {\"weight\": 1402, \"source\": 2, \"target\": 4}, {\"weight\": 8246, \"source\": 2, \"target\": 6}, {\"weight\": 2362, \"source\": 2, \"target\": 5}, {\"weight\": 8248, \"source\": 2, \"target\": 8}, {\"weight\": 16734, \"source\": 2, \"target\": 3}, {\"weight\": 17912, \"source\": 2, \"target\": 7}, {\"weight\": 16413, \"source\": 3, \"target\": 4}, {\"weight\": 11478, \"source\": 3, \"target\": 6}, {\"weight\": 17892, \"source\": 3, \"target\": 5}, {\"weight\": 13259, \"source\": 3, \"target\": 8}, {\"weight\": 7050, \"source\": 3, \"target\": 7}, {\"weight\": 8616, \"source\": 4, \"target\": 6}, {\"weight\": 2335, \"source\": 4, \"target\": 5}, {\"weight\": 7807, \"source\": 4, \"target\": 8}, {\"weight\": 17843, \"source\": 4, \"target\": 7}, {\"weight\": 10226, \"source\": 5, \"target\": 6}, {\"weight\": 6586, \"source\": 5, \"target\": 8}, {\"weight\": 16251, \"source\": 5, \"target\": 7}, {\"weight\": 14509, \"source\": 6, \"target\": 8}, {\"weight\": 16945, \"source\": 6, \"target\": 7}, {\"weight\": 10902, \"source\": 7, \"target\": 8}]}",
"id": 119,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FTA, CBQ, VLC, FAV, LRH, BOJ, CMW, GFF, MXV\n- Travel distances (in kilometers) between each pair of airports:\nFTA to LRH: 17964\nFTA to VLC: 18446\nFTA to CMW: 14594\nFTA to BOJ: 16794\nFTA to MXV: 11061\nFTA to FAV: 5934\nFTA to CBQ: 18851\nFTA to GFF: 3276\nCBQ to LRH: 5309\nCBQ to VLC: 4387\nCBQ to CMW: 11846\nCBQ to BOJ: 5388\nCBQ to MXV: 10829\nCBQ to FAV: 18012\nCBQ to GFF: 16517\nVLC to LRH: 1402\nVLC to CMW: 8246\nVLC to BOJ: 2362\nVLC to MXV: 8248\nVLC to FAV: 16734\nVLC to GFF: 17912\nFAV to LRH: 16413\nFAV to CMW: 11478\nFAV to BOJ: 17892\nFAV to MXV: 13259\nFAV to GFF: 7050\nLRH to CMW: 8616\nLRH to BOJ: 2335\nLRH to MXV: 7807\nLRH to GFF: 17843\nBOJ to CMW: 10226\nBOJ to MXV: 6586\nBOJ to GFF: 16251\nCMW to MXV: 14509\nCMW to GFF: 16945\nGFF to MXV: 10902\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBS, WUX, SRG, LTD, AOK, DUJ, KNS, DYR, LWS\n- Travel distances (in kilometers) between each pair of airports:\nTBS to WUX: 6681\nTBS to AOK: 2237\nTBS to SRG: 8563\nTBS to LWS: 11097\nTBS to LTD: 3456\nTBS to DYR: 7836\nTBS to KNS: 13689\nTBS to DUJ: 9594\nWUX to AOK: 8909\nWUX to SRG: 4709\nWUX to LWS: 9785\nWUX to LTD: 10063\nWUX to DYR: 5435\nWUX to KNS: 8463\nWUX to DUJ: 12061\nSRG to AOK: 10494\nSRG to LWS: 14039\nSRG to LTD: 11551\nSRG to DYR: 9947\nSRG to KNS: 5202\nSRG to DUJ: 16509\nLTD to AOK: 2076\nLTD to LWS: 10915\nLTD to DYR: 9837\nLTD to KNS: 16451\nLTD to DUJ: 8776\nAOK to LWS: 10827\nAOK to DYR: 8603\nAOK to KNS: 15403\nAOK to DUJ: 9084\nDUJ to LWS: 3377\nDUJ to DYR: 14333\nDUJ to KNS: 16558\nKNS to LWS: 13858\nKNS to DYR: 12991\nDYR to LWS: 12629\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53506,
"style": "rule"
}
|
{
"exact_answer": 53506,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TBS\", \"id\": 0}, {\"name\": \"WUX\", \"id\": 1}, {\"name\": \"SRG\", \"id\": 2}, {\"name\": \"LTD\", \"id\": 3}, {\"name\": \"AOK\", \"id\": 4}, {\"name\": \"DUJ\", \"id\": 5}, {\"name\": \"KNS\", \"id\": 6}, {\"name\": \"DYR\", \"id\": 7}, {\"name\": \"LWS\", \"id\": 8}], \"links\": [{\"weight\": 6681, \"source\": 0, \"target\": 1}, {\"weight\": 2237, \"source\": 0, \"target\": 4}, {\"weight\": 8563, \"source\": 0, \"target\": 2}, {\"weight\": 11097, \"source\": 0, \"target\": 8}, {\"weight\": 3456, \"source\": 0, \"target\": 3}, {\"weight\": 7836, \"source\": 0, \"target\": 7}, {\"weight\": 13689, \"source\": 0, \"target\": 6}, {\"weight\": 9594, \"source\": 0, \"target\": 5}, {\"weight\": 8909, \"source\": 1, \"target\": 4}, {\"weight\": 4709, \"source\": 1, \"target\": 2}, {\"weight\": 9785, \"source\": 1, \"target\": 8}, {\"weight\": 10063, \"source\": 1, \"target\": 3}, {\"weight\": 5435, \"source\": 1, \"target\": 7}, {\"weight\": 8463, \"source\": 1, \"target\": 6}, {\"weight\": 12061, \"source\": 1, \"target\": 5}, {\"weight\": 10494, \"source\": 2, \"target\": 4}, {\"weight\": 14039, \"source\": 2, \"target\": 8}, {\"weight\": 11551, \"source\": 2, \"target\": 3}, {\"weight\": 9947, \"source\": 2, \"target\": 7}, {\"weight\": 5202, \"source\": 2, \"target\": 6}, {\"weight\": 16509, \"source\": 2, \"target\": 5}, {\"weight\": 2076, \"source\": 3, \"target\": 4}, {\"weight\": 10915, \"source\": 3, \"target\": 8}, {\"weight\": 9837, \"source\": 3, \"target\": 7}, {\"weight\": 16451, \"source\": 3, \"target\": 6}, {\"weight\": 8776, \"source\": 3, \"target\": 5}, {\"weight\": 10827, \"source\": 4, \"target\": 8}, {\"weight\": 8603, \"source\": 4, \"target\": 7}, {\"weight\": 15403, \"source\": 4, \"target\": 6}, {\"weight\": 9084, \"source\": 4, \"target\": 5}, {\"weight\": 3377, \"source\": 5, \"target\": 8}, {\"weight\": 14333, \"source\": 5, \"target\": 7}, {\"weight\": 16558, \"source\": 5, \"target\": 6}, {\"weight\": 13858, \"source\": 6, \"target\": 8}, {\"weight\": 12991, \"source\": 6, \"target\": 7}, {\"weight\": 12629, \"source\": 7, \"target\": 8}]}",
"id": 120,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TBS, WUX, SRG, LTD, AOK, DUJ, KNS, DYR, LWS\n- Travel distances (in kilometers) between each pair of airports:\nTBS to WUX: 6681\nTBS to AOK: 2237\nTBS to SRG: 8563\nTBS to LWS: 11097\nTBS to LTD: 3456\nTBS to DYR: 7836\nTBS to KNS: 13689\nTBS to DUJ: 9594\nWUX to AOK: 8909\nWUX to SRG: 4709\nWUX to LWS: 9785\nWUX to LTD: 10063\nWUX to DYR: 5435\nWUX to KNS: 8463\nWUX to DUJ: 12061\nSRG to AOK: 10494\nSRG to LWS: 14039\nSRG to LTD: 11551\nSRG to DYR: 9947\nSRG to KNS: 5202\nSRG to DUJ: 16509\nLTD to AOK: 2076\nLTD to LWS: 10915\nLTD to DYR: 9837\nLTD to KNS: 16451\nLTD to DUJ: 8776\nAOK to LWS: 10827\nAOK to DYR: 8603\nAOK to KNS: 15403\nAOK to DUJ: 9084\nDUJ to LWS: 3377\nDUJ to DYR: 14333\nDUJ to KNS: 16558\nKNS to LWS: 13858\nKNS to DYR: 12991\nDYR to LWS: 12629\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, RPR, LLB, BOY, OVB, KUO, MYJ, LTX, AQG\n- Travel distances (in kilometers) between each pair of airports:\nPAC to OVB: 14070\nPAC to BOY: 11344\nPAC to RPR: 16780\nPAC to KUO: 11008\nPAC to AQG: 15640\nPAC to LLB: 16954\nPAC to LTX: 2449\nPAC to MYJ: 14360\nRPR to OVB: 3945\nRPR to BOY: 9349\nRPR to KUO: 6501\nRPR to AQG: 3755\nRPR to LLB: 3849\nRPR to LTX: 17225\nRPR to MYJ: 5238\nLLB to OVB: 5136\nLLB to BOY: 13027\nLLB to KUO: 8599\nLLB to AQG: 1457\nLLB to LTX: 18078\nLLB to MYJ: 2842\nBOY to OVB: 8847\nBOY to KUO: 6441\nBOY to AQG: 12431\nBOY to LTX: 11017\nBOY to MYJ: 13306\nOVB to KUO: 3730\nOVB to AQG: 4052\nOVB to LTX: 14541\nOVB to MYJ: 4591\nKUO to AQG: 7665\nKUO to LTX: 11671\nKUO to MYJ: 8061\nMYJ to AQG: 2060\nMYJ to LTX: 15390\nLTX to AQG: 16757\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49308,
"style": "rule"
}
|
{
"exact_answer": 49308,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAC\", \"id\": 0}, {\"name\": \"RPR\", \"id\": 1}, {\"name\": \"LLB\", \"id\": 2}, {\"name\": \"BOY\", \"id\": 3}, {\"name\": \"OVB\", \"id\": 4}, {\"name\": \"KUO\", \"id\": 5}, {\"name\": \"MYJ\", \"id\": 6}, {\"name\": \"LTX\", \"id\": 7}, {\"name\": \"AQG\", \"id\": 8}], \"links\": [{\"weight\": 14070, \"source\": 0, \"target\": 4}, {\"weight\": 11344, \"source\": 0, \"target\": 3}, {\"weight\": 16780, \"source\": 0, \"target\": 1}, {\"weight\": 11008, \"source\": 0, \"target\": 5}, {\"weight\": 15640, \"source\": 0, \"target\": 8}, {\"weight\": 16954, \"source\": 0, \"target\": 2}, {\"weight\": 2449, \"source\": 0, \"target\": 7}, {\"weight\": 14360, \"source\": 0, \"target\": 6}, {\"weight\": 3945, \"source\": 1, \"target\": 4}, {\"weight\": 9349, \"source\": 1, \"target\": 3}, {\"weight\": 6501, \"source\": 1, \"target\": 5}, {\"weight\": 3755, \"source\": 1, \"target\": 8}, {\"weight\": 3849, \"source\": 1, \"target\": 2}, {\"weight\": 17225, \"source\": 1, \"target\": 7}, {\"weight\": 5238, \"source\": 1, \"target\": 6}, {\"weight\": 5136, \"source\": 2, \"target\": 4}, {\"weight\": 13027, \"source\": 2, \"target\": 3}, {\"weight\": 8599, \"source\": 2, \"target\": 5}, {\"weight\": 1457, \"source\": 2, \"target\": 8}, {\"weight\": 18078, \"source\": 2, \"target\": 7}, {\"weight\": 2842, \"source\": 2, \"target\": 6}, {\"weight\": 8847, \"source\": 3, \"target\": 4}, {\"weight\": 6441, \"source\": 3, \"target\": 5}, {\"weight\": 12431, \"source\": 3, \"target\": 8}, {\"weight\": 11017, \"source\": 3, \"target\": 7}, {\"weight\": 13306, \"source\": 3, \"target\": 6}, {\"weight\": 3730, \"source\": 4, \"target\": 5}, {\"weight\": 4052, \"source\": 4, \"target\": 8}, {\"weight\": 14541, \"source\": 4, \"target\": 7}, {\"weight\": 4591, \"source\": 4, \"target\": 6}, {\"weight\": 7665, \"source\": 5, \"target\": 8}, {\"weight\": 11671, \"source\": 5, \"target\": 7}, {\"weight\": 8061, \"source\": 5, \"target\": 6}, {\"weight\": 2060, \"source\": 6, \"target\": 8}, {\"weight\": 15390, \"source\": 6, \"target\": 7}, {\"weight\": 16757, \"source\": 7, \"target\": 8}]}",
"id": 121,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, RPR, LLB, BOY, OVB, KUO, MYJ, LTX, AQG\n- Travel distances (in kilometers) between each pair of airports:\nPAC to OVB: 14070\nPAC to BOY: 11344\nPAC to RPR: 16780\nPAC to KUO: 11008\nPAC to AQG: 15640\nPAC to LLB: 16954\nPAC to LTX: 2449\nPAC to MYJ: 14360\nRPR to OVB: 3945\nRPR to BOY: 9349\nRPR to KUO: 6501\nRPR to AQG: 3755\nRPR to LLB: 3849\nRPR to LTX: 17225\nRPR to MYJ: 5238\nLLB to OVB: 5136\nLLB to BOY: 13027\nLLB to KUO: 8599\nLLB to AQG: 1457\nLLB to LTX: 18078\nLLB to MYJ: 2842\nBOY to OVB: 8847\nBOY to KUO: 6441\nBOY to AQG: 12431\nBOY to LTX: 11017\nBOY to MYJ: 13306\nOVB to KUO: 3730\nOVB to AQG: 4052\nOVB to LTX: 14541\nOVB to MYJ: 4591\nKUO to AQG: 7665\nKUO to LTX: 11671\nKUO to MYJ: 8061\nMYJ to AQG: 2060\nMYJ to LTX: 15390\nLTX to AQG: 16757\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DIR, SHA, ZGU, AVL, FEZ, SAV, SIP, TIV, DQA\n- Travel distances (in kilometers) between each pair of airports:\nDIR to FEZ: 6454\nDIR to TIV: 4902\nDIR to SHA: 8711\nDIR to AVL: 12569\nDIR to SAV: 12735\nDIR to DQA: 9084\nDIR to ZGU: 15733\nDIR to SIP: 4987\nSHA to FEZ: 10911\nSHA to TIV: 8860\nSHA to AVL: 12477\nSHA to SAV: 12858\nSHA to DQA: 1779\nSHA to ZGU: 8896\nSHA to SIP: 7721\nZGU to FEZ: 19272\nZGU to TIV: 17276\nZGU to AVL: 13664\nZGU to SAV: 13743\nZGU to DQA: 10595\nZGU to SIP: 15896\nAVL to FEZ: 7060\nAVL to TIV: 8298\nAVL to SAV: 491\nAVL to DQA: 12394\nAVL to SIP: 9182\nFEZ to TIV: 2903\nFEZ to SAV: 7198\nFEZ to DQA: 10828\nFEZ to SIP: 4088\nSAV to TIV: 8434\nSAV to DQA: 12775\nSAV to SIP: 9320\nSIP to TIV: 2461\nSIP to DQA: 7638\nTIV to DQA: 8777\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51404,
"style": "rule"
}
|
{
"exact_answer": 51404,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DIR\", \"id\": 0}, {\"name\": \"SHA\", \"id\": 1}, {\"name\": \"ZGU\", \"id\": 2}, {\"name\": \"AVL\", \"id\": 3}, {\"name\": \"FEZ\", \"id\": 4}, {\"name\": \"SAV\", \"id\": 5}, {\"name\": \"SIP\", \"id\": 6}, {\"name\": \"TIV\", \"id\": 7}, {\"name\": \"DQA\", \"id\": 8}], \"links\": [{\"weight\": 6454, \"source\": 0, \"target\": 4}, {\"weight\": 4902, \"source\": 0, \"target\": 7}, {\"weight\": 8711, \"source\": 0, \"target\": 1}, {\"weight\": 12569, \"source\": 0, \"target\": 3}, {\"weight\": 12735, \"source\": 0, \"target\": 5}, {\"weight\": 9084, \"source\": 0, \"target\": 8}, {\"weight\": 15733, \"source\": 0, \"target\": 2}, {\"weight\": 4987, \"source\": 0, \"target\": 6}, {\"weight\": 10911, \"source\": 1, \"target\": 4}, {\"weight\": 8860, \"source\": 1, \"target\": 7}, {\"weight\": 12477, \"source\": 1, \"target\": 3}, {\"weight\": 12858, \"source\": 1, \"target\": 5}, {\"weight\": 1779, \"source\": 1, \"target\": 8}, {\"weight\": 8896, \"source\": 1, \"target\": 2}, {\"weight\": 7721, \"source\": 1, \"target\": 6}, {\"weight\": 19272, \"source\": 2, \"target\": 4}, {\"weight\": 17276, \"source\": 2, \"target\": 7}, {\"weight\": 13664, \"source\": 2, \"target\": 3}, {\"weight\": 13743, \"source\": 2, \"target\": 5}, {\"weight\": 10595, \"source\": 2, \"target\": 8}, {\"weight\": 15896, \"source\": 2, \"target\": 6}, {\"weight\": 7060, \"source\": 3, \"target\": 4}, {\"weight\": 8298, \"source\": 3, \"target\": 7}, {\"weight\": 491, \"source\": 3, \"target\": 5}, {\"weight\": 12394, \"source\": 3, \"target\": 8}, {\"weight\": 9182, \"source\": 3, \"target\": 6}, {\"weight\": 2903, \"source\": 4, \"target\": 7}, {\"weight\": 7198, \"source\": 4, \"target\": 5}, {\"weight\": 10828, \"source\": 4, \"target\": 8}, {\"weight\": 4088, \"source\": 4, \"target\": 6}, {\"weight\": 8434, \"source\": 5, \"target\": 7}, {\"weight\": 12775, \"source\": 5, \"target\": 8}, {\"weight\": 9320, \"source\": 5, \"target\": 6}, {\"weight\": 2461, \"source\": 6, \"target\": 7}, {\"weight\": 7638, \"source\": 6, \"target\": 8}, {\"weight\": 8777, \"source\": 7, \"target\": 8}]}",
"id": 122,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DIR, SHA, ZGU, AVL, FEZ, SAV, SIP, TIV, DQA\n- Travel distances (in kilometers) between each pair of airports:\nDIR to FEZ: 6454\nDIR to TIV: 4902\nDIR to SHA: 8711\nDIR to AVL: 12569\nDIR to SAV: 12735\nDIR to DQA: 9084\nDIR to ZGU: 15733\nDIR to SIP: 4987\nSHA to FEZ: 10911\nSHA to TIV: 8860\nSHA to AVL: 12477\nSHA to SAV: 12858\nSHA to DQA: 1779\nSHA to ZGU: 8896\nSHA to SIP: 7721\nZGU to FEZ: 19272\nZGU to TIV: 17276\nZGU to AVL: 13664\nZGU to SAV: 13743\nZGU to DQA: 10595\nZGU to SIP: 15896\nAVL to FEZ: 7060\nAVL to TIV: 8298\nAVL to SAV: 491\nAVL to DQA: 12394\nAVL to SIP: 9182\nFEZ to TIV: 2903\nFEZ to SAV: 7198\nFEZ to DQA: 10828\nFEZ to SIP: 4088\nSAV to TIV: 8434\nSAV to DQA: 12775\nSAV to SIP: 9320\nSIP to TIV: 2461\nSIP to DQA: 7638\nTIV to DQA: 8777\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJJ, TID, FLG, JMU, MSY, KPO, USH, TME, KPV\n- Travel distances (in kilometers) between each pair of airports:\nSJJ to USH: 14328\nSJJ to MSY: 9076\nSJJ to TME: 10290\nSJJ to FLG: 10259\nSJJ to TID: 2085\nSJJ to JMU: 8176\nSJJ to KPV: 12337\nSJJ to KPO: 8930\nTID to USH: 12877\nTID to MSY: 8584\nTID to TME: 9178\nTID to FLG: 10190\nTID to JMU: 9807\nTID to KPV: 12674\nTID to KPO: 10538\nFLG to USH: 11470\nFLG to MSY: 2280\nFLG to TME: 5627\nFLG to JMU: 10975\nFLG to KPV: 5097\nFLG to KPO: 10993\nJMU to USH: 21991\nJMU to MSY: 12300\nJMU to TME: 15882\nJMU to KPV: 12136\nJMU to KPO: 2079\nMSY to USH: 10384\nMSY to TME: 3845\nMSY to KPV: 6375\nMSY to KPO: 12519\nKPO to USH: 21687\nKPO to TME: 16025\nKPO to KPV: 12310\nUSH to TME: 7243\nUSH to KPV: 16183\nTME to KPV: 9959\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55992,
"style": "rule"
}
|
{
"exact_answer": 55992,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SJJ\", \"id\": 0}, {\"name\": \"TID\", \"id\": 1}, {\"name\": \"FLG\", \"id\": 2}, {\"name\": \"JMU\", \"id\": 3}, {\"name\": \"MSY\", \"id\": 4}, {\"name\": \"KPO\", \"id\": 5}, {\"name\": \"USH\", \"id\": 6}, {\"name\": \"TME\", \"id\": 7}, {\"name\": \"KPV\", \"id\": 8}], \"links\": [{\"weight\": 14328, \"source\": 0, \"target\": 6}, {\"weight\": 9076, \"source\": 0, \"target\": 4}, {\"weight\": 10290, \"source\": 0, \"target\": 7}, {\"weight\": 10259, \"source\": 0, \"target\": 2}, {\"weight\": 2085, \"source\": 0, \"target\": 1}, {\"weight\": 8176, \"source\": 0, \"target\": 3}, {\"weight\": 12337, \"source\": 0, \"target\": 8}, {\"weight\": 8930, \"source\": 0, \"target\": 5}, {\"weight\": 12877, \"source\": 1, \"target\": 6}, {\"weight\": 8584, \"source\": 1, \"target\": 4}, {\"weight\": 9178, \"source\": 1, \"target\": 7}, {\"weight\": 10190, \"source\": 1, \"target\": 2}, {\"weight\": 9807, \"source\": 1, \"target\": 3}, {\"weight\": 12674, \"source\": 1, \"target\": 8}, {\"weight\": 10538, \"source\": 1, \"target\": 5}, {\"weight\": 11470, \"source\": 2, \"target\": 6}, {\"weight\": 2280, \"source\": 2, \"target\": 4}, {\"weight\": 5627, \"source\": 2, \"target\": 7}, {\"weight\": 10975, \"source\": 2, \"target\": 3}, {\"weight\": 5097, \"source\": 2, \"target\": 8}, {\"weight\": 10993, \"source\": 2, \"target\": 5}, {\"weight\": 21991, \"source\": 3, \"target\": 6}, {\"weight\": 12300, \"source\": 3, \"target\": 4}, {\"weight\": 15882, \"source\": 3, \"target\": 7}, {\"weight\": 12136, \"source\": 3, \"target\": 8}, {\"weight\": 2079, \"source\": 3, \"target\": 5}, {\"weight\": 10384, \"source\": 4, \"target\": 6}, {\"weight\": 3845, \"source\": 4, \"target\": 7}, {\"weight\": 6375, \"source\": 4, \"target\": 8}, {\"weight\": 12519, \"source\": 4, \"target\": 5}, {\"weight\": 21687, \"source\": 5, \"target\": 6}, {\"weight\": 16025, \"source\": 5, \"target\": 7}, {\"weight\": 12310, \"source\": 5, \"target\": 8}, {\"weight\": 7243, \"source\": 6, \"target\": 7}, {\"weight\": 16183, \"source\": 6, \"target\": 8}, {\"weight\": 9959, \"source\": 7, \"target\": 8}]}",
"id": 123,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJJ, TID, FLG, JMU, MSY, KPO, USH, TME, KPV\n- Travel distances (in kilometers) between each pair of airports:\nSJJ to USH: 14328\nSJJ to MSY: 9076\nSJJ to TME: 10290\nSJJ to FLG: 10259\nSJJ to TID: 2085\nSJJ to JMU: 8176\nSJJ to KPV: 12337\nSJJ to KPO: 8930\nTID to USH: 12877\nTID to MSY: 8584\nTID to TME: 9178\nTID to FLG: 10190\nTID to JMU: 9807\nTID to KPV: 12674\nTID to KPO: 10538\nFLG to USH: 11470\nFLG to MSY: 2280\nFLG to TME: 5627\nFLG to JMU: 10975\nFLG to KPV: 5097\nFLG to KPO: 10993\nJMU to USH: 21991\nJMU to MSY: 12300\nJMU to TME: 15882\nJMU to KPV: 12136\nJMU to KPO: 2079\nMSY to USH: 10384\nMSY to TME: 3845\nMSY to KPV: 6375\nMSY to KPO: 12519\nKPO to USH: 21687\nKPO to TME: 16025\nKPO to KPV: 12310\nUSH to TME: 7243\nUSH to KPV: 16183\nTME to KPV: 9959\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDQ, LNS, ZBL, SMA, BTC, LKO, BFN, HEL, COQ\n- Travel distances (in kilometers) between each pair of airports:\nSDQ to HEL: 8731\nSDQ to LKO: 14159\nSDQ to COQ: 14461\nSDQ to BFN: 13111\nSDQ to LNS: 2731\nSDQ to ZBL: 16953\nSDQ to SMA: 6605\nSDQ to BTC: 15835\nLNS to HEL: 7102\nLNS to LKO: 12690\nLNS to COQ: 12596\nLNS to BFN: 13660\nLNS to ZBL: 15792\nLNS to SMA: 4768\nLNS to BTC: 14761\nZBL to HEL: 15177\nZBL to LKO: 10229\nZBL to COQ: 10079\nZBL to BFN: 12578\nZBL to SMA: 19578\nZBL to BTC: 9420\nSMA to HEL: 4405\nSMA to LKO: 9612\nSMA to COQ: 10321\nSMA to BFN: 10037\nSMA to BTC: 11054\nBTC to HEL: 7659\nBTC to LKO: 2468\nBTC to COQ: 6628\nBTC to BFN: 7354\nLKO to HEL: 5645\nLKO to COQ: 5417\nLKO to BFN: 8526\nBFN to HEL: 10006\nBFN to COQ: 12569\nHEL to COQ: 5922\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60820,
"style": "rule"
}
|
{
"exact_answer": 60820,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SDQ\", \"id\": 0}, {\"name\": \"LNS\", \"id\": 1}, {\"name\": \"ZBL\", \"id\": 2}, {\"name\": \"SMA\", \"id\": 3}, {\"name\": \"BTC\", \"id\": 4}, {\"name\": \"LKO\", \"id\": 5}, {\"name\": \"BFN\", \"id\": 6}, {\"name\": \"HEL\", \"id\": 7}, {\"name\": \"COQ\", \"id\": 8}], \"links\": [{\"weight\": 8731, \"source\": 0, \"target\": 7}, {\"weight\": 14159, \"source\": 0, \"target\": 5}, {\"weight\": 14461, \"source\": 0, \"target\": 8}, {\"weight\": 13111, \"source\": 0, \"target\": 6}, {\"weight\": 2731, \"source\": 0, \"target\": 1}, {\"weight\": 16953, \"source\": 0, \"target\": 2}, {\"weight\": 6605, \"source\": 0, \"target\": 3}, {\"weight\": 15835, \"source\": 0, \"target\": 4}, {\"weight\": 7102, \"source\": 1, \"target\": 7}, {\"weight\": 12690, \"source\": 1, \"target\": 5}, {\"weight\": 12596, \"source\": 1, \"target\": 8}, {\"weight\": 13660, \"source\": 1, \"target\": 6}, {\"weight\": 15792, \"source\": 1, \"target\": 2}, {\"weight\": 4768, \"source\": 1, \"target\": 3}, {\"weight\": 14761, \"source\": 1, \"target\": 4}, {\"weight\": 15177, \"source\": 2, \"target\": 7}, {\"weight\": 10229, \"source\": 2, \"target\": 5}, {\"weight\": 10079, \"source\": 2, \"target\": 8}, {\"weight\": 12578, \"source\": 2, \"target\": 6}, {\"weight\": 19578, \"source\": 2, \"target\": 3}, {\"weight\": 9420, \"source\": 2, \"target\": 4}, {\"weight\": 4405, \"source\": 3, \"target\": 7}, {\"weight\": 9612, \"source\": 3, \"target\": 5}, {\"weight\": 10321, \"source\": 3, \"target\": 8}, {\"weight\": 10037, \"source\": 3, \"target\": 6}, {\"weight\": 11054, \"source\": 3, \"target\": 4}, {\"weight\": 7659, \"source\": 4, \"target\": 7}, {\"weight\": 2468, \"source\": 4, \"target\": 5}, {\"weight\": 6628, \"source\": 4, \"target\": 8}, {\"weight\": 7354, \"source\": 4, \"target\": 6}, {\"weight\": 5645, \"source\": 5, \"target\": 7}, {\"weight\": 5417, \"source\": 5, \"target\": 8}, {\"weight\": 8526, \"source\": 5, \"target\": 6}, {\"weight\": 10006, \"source\": 6, \"target\": 7}, {\"weight\": 12569, \"source\": 6, \"target\": 8}, {\"weight\": 5922, \"source\": 7, \"target\": 8}]}",
"id": 124,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDQ, LNS, ZBL, SMA, BTC, LKO, BFN, HEL, COQ\n- Travel distances (in kilometers) between each pair of airports:\nSDQ to HEL: 8731\nSDQ to LKO: 14159\nSDQ to COQ: 14461\nSDQ to BFN: 13111\nSDQ to LNS: 2731\nSDQ to ZBL: 16953\nSDQ to SMA: 6605\nSDQ to BTC: 15835\nLNS to HEL: 7102\nLNS to LKO: 12690\nLNS to COQ: 12596\nLNS to BFN: 13660\nLNS to ZBL: 15792\nLNS to SMA: 4768\nLNS to BTC: 14761\nZBL to HEL: 15177\nZBL to LKO: 10229\nZBL to COQ: 10079\nZBL to BFN: 12578\nZBL to SMA: 19578\nZBL to BTC: 9420\nSMA to HEL: 4405\nSMA to LKO: 9612\nSMA to COQ: 10321\nSMA to BFN: 10037\nSMA to BTC: 11054\nBTC to HEL: 7659\nBTC to LKO: 2468\nBTC to COQ: 6628\nBTC to BFN: 7354\nLKO to HEL: 5645\nLKO to COQ: 5417\nLKO to BFN: 8526\nBFN to HEL: 10006\nBFN to COQ: 12569\nHEL to COQ: 5922\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VPS, SLU, MBI, TET, MWF, TNA, ADK, NNM, MMO\n- Travel distances (in kilometers) between each pair of airports:\nVPS to SLU: 3638\nVPS to TNA: 12301\nVPS to NNM: 9904\nVPS to ADK: 7816\nVPS to MWF: 13247\nVPS to MBI: 14736\nVPS to TET: 15230\nVPS to MMO: 7396\nSLU to TNA: 14550\nSLU to NNM: 10392\nSLU to ADK: 10530\nSLU to MWF: 16421\nSLU to MBI: 14141\nSLU to TET: 13178\nSLU to MMO: 6149\nMBI to TNA: 10546\nMBI to NNM: 9312\nMBI to ADK: 20090\nMBI to MWF: 14816\nMBI to TET: 2250\nMBI to MMO: 8066\nTET to TNA: 11450\nTET to NNM: 10209\nTET to ADK: 20920\nTET to MWF: 15096\nTET to MMO: 8644\nMWF to TNA: 9510\nMWF to NNM: 15423\nMWF to ADK: 12837\nMWF to MMO: 19913\nTNA to NNM: 6186\nTNA to ADK: 13201\nTNA to MMO: 13035\nADK to NNM: 14202\nADK to MMO: 13245\nNNM to MMO: 8044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66342,
"style": "rule"
}
|
{
"exact_answer": 66342,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VPS\", \"id\": 0}, {\"name\": \"SLU\", \"id\": 1}, {\"name\": \"MBI\", \"id\": 2}, {\"name\": \"TET\", \"id\": 3}, {\"name\": \"MWF\", \"id\": 4}, {\"name\": \"TNA\", \"id\": 5}, {\"name\": \"ADK\", \"id\": 6}, {\"name\": \"NNM\", \"id\": 7}, {\"name\": \"MMO\", \"id\": 8}], \"links\": [{\"weight\": 3638, \"source\": 0, \"target\": 1}, {\"weight\": 12301, \"source\": 0, \"target\": 5}, {\"weight\": 9904, \"source\": 0, \"target\": 7}, {\"weight\": 7816, \"source\": 0, \"target\": 6}, {\"weight\": 13247, \"source\": 0, \"target\": 4}, {\"weight\": 14736, \"source\": 0, \"target\": 2}, {\"weight\": 15230, \"source\": 0, \"target\": 3}, {\"weight\": 7396, \"source\": 0, \"target\": 8}, {\"weight\": 14550, \"source\": 1, \"target\": 5}, {\"weight\": 10392, \"source\": 1, \"target\": 7}, {\"weight\": 10530, \"source\": 1, \"target\": 6}, {\"weight\": 16421, \"source\": 1, \"target\": 4}, {\"weight\": 14141, \"source\": 1, \"target\": 2}, {\"weight\": 13178, \"source\": 1, \"target\": 3}, {\"weight\": 6149, \"source\": 1, \"target\": 8}, {\"weight\": 10546, \"source\": 2, \"target\": 5}, {\"weight\": 9312, \"source\": 2, \"target\": 7}, {\"weight\": 20090, \"source\": 2, \"target\": 6}, {\"weight\": 14816, \"source\": 2, \"target\": 4}, {\"weight\": 2250, \"source\": 2, \"target\": 3}, {\"weight\": 8066, \"source\": 2, \"target\": 8}, {\"weight\": 11450, \"source\": 3, \"target\": 5}, {\"weight\": 10209, \"source\": 3, \"target\": 7}, {\"weight\": 20920, \"source\": 3, \"target\": 6}, {\"weight\": 15096, \"source\": 3, \"target\": 4}, {\"weight\": 8644, \"source\": 3, \"target\": 8}, {\"weight\": 9510, \"source\": 4, \"target\": 5}, {\"weight\": 15423, \"source\": 4, \"target\": 7}, {\"weight\": 12837, \"source\": 4, \"target\": 6}, {\"weight\": 19913, \"source\": 4, \"target\": 8}, {\"weight\": 6186, \"source\": 5, \"target\": 7}, {\"weight\": 13201, \"source\": 5, \"target\": 6}, {\"weight\": 13035, \"source\": 5, \"target\": 8}, {\"weight\": 14202, \"source\": 6, \"target\": 7}, {\"weight\": 13245, \"source\": 6, \"target\": 8}, {\"weight\": 8044, \"source\": 7, \"target\": 8}]}",
"id": 125,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VPS, SLU, MBI, TET, MWF, TNA, ADK, NNM, MMO\n- Travel distances (in kilometers) between each pair of airports:\nVPS to SLU: 3638\nVPS to TNA: 12301\nVPS to NNM: 9904\nVPS to ADK: 7816\nVPS to MWF: 13247\nVPS to MBI: 14736\nVPS to TET: 15230\nVPS to MMO: 7396\nSLU to TNA: 14550\nSLU to NNM: 10392\nSLU to ADK: 10530\nSLU to MWF: 16421\nSLU to MBI: 14141\nSLU to TET: 13178\nSLU to MMO: 6149\nMBI to TNA: 10546\nMBI to NNM: 9312\nMBI to ADK: 20090\nMBI to MWF: 14816\nMBI to TET: 2250\nMBI to MMO: 8066\nTET to TNA: 11450\nTET to NNM: 10209\nTET to ADK: 20920\nTET to MWF: 15096\nTET to MMO: 8644\nMWF to TNA: 9510\nMWF to NNM: 15423\nMWF to ADK: 12837\nMWF to MMO: 19913\nTNA to NNM: 6186\nTNA to ADK: 13201\nTNA to MMO: 13035\nADK to NNM: 14202\nADK to MMO: 13245\nNNM to MMO: 8044\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EUG, JNB, COU, SNO, NOB, YIC, WNP, YOG, LUX\n- Travel distances (in kilometers) between each pair of airports:\nEUG to NOB: 5576\nEUG to WNP: 11225\nEUG to JNB: 16937\nEUG to YIC: 10435\nEUG to COU: 3369\nEUG to LUX: 8512\nEUG to SNO: 12892\nEUG to YOG: 3347\nJNB to NOB: 13188\nJNB to WNP: 11264\nJNB to YIC: 11089\nJNB to COU: 14523\nJNB to LUX: 8713\nJNB to SNO: 10145\nJNB to YOG: 14835\nCOU to NOB: 3811\nCOU to WNP: 13893\nCOU to YIC: 12448\nCOU to LUX: 7360\nCOU to SNO: 14905\nCOU to YOG: 2623\nSNO to NOB: 18055\nSNO to WNP: 2996\nSNO to YIC: 2796\nSNO to LUX: 9741\nSNO to YOG: 15293\nNOB to WNP: 16543\nNOB to YIC: 15598\nNOB to LUX: 9439\nNOB to YOG: 5345\nYIC to WNP: 2409\nYIC to LUX: 9329\nYIC to YOG: 12841\nWNP to LUX: 10736\nWNP to YOG: 13556\nYOG to LUX: 7636\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53918,
"style": "rule"
}
|
{
"exact_answer": 53918,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EUG\", \"id\": 0}, {\"name\": \"JNB\", \"id\": 1}, {\"name\": \"COU\", \"id\": 2}, {\"name\": \"SNO\", \"id\": 3}, {\"name\": \"NOB\", \"id\": 4}, {\"name\": \"YIC\", \"id\": 5}, {\"name\": \"WNP\", \"id\": 6}, {\"name\": \"YOG\", \"id\": 7}, {\"name\": \"LUX\", \"id\": 8}], \"links\": [{\"weight\": 5576, \"source\": 0, \"target\": 4}, {\"weight\": 11225, \"source\": 0, \"target\": 6}, {\"weight\": 16937, \"source\": 0, \"target\": 1}, {\"weight\": 10435, \"source\": 0, \"target\": 5}, {\"weight\": 3369, \"source\": 0, \"target\": 2}, {\"weight\": 8512, \"source\": 0, \"target\": 8}, {\"weight\": 12892, \"source\": 0, \"target\": 3}, {\"weight\": 3347, \"source\": 0, \"target\": 7}, {\"weight\": 13188, \"source\": 1, \"target\": 4}, {\"weight\": 11264, \"source\": 1, \"target\": 6}, {\"weight\": 11089, \"source\": 1, \"target\": 5}, {\"weight\": 14523, \"source\": 1, \"target\": 2}, {\"weight\": 8713, \"source\": 1, \"target\": 8}, {\"weight\": 10145, \"source\": 1, \"target\": 3}, {\"weight\": 14835, \"source\": 1, \"target\": 7}, {\"weight\": 3811, \"source\": 2, \"target\": 4}, {\"weight\": 13893, \"source\": 2, \"target\": 6}, {\"weight\": 12448, \"source\": 2, \"target\": 5}, {\"weight\": 7360, \"source\": 2, \"target\": 8}, {\"weight\": 14905, \"source\": 2, \"target\": 3}, {\"weight\": 2623, \"source\": 2, \"target\": 7}, {\"weight\": 18055, \"source\": 3, \"target\": 4}, {\"weight\": 2996, \"source\": 3, \"target\": 6}, {\"weight\": 2796, \"source\": 3, \"target\": 5}, {\"weight\": 9741, \"source\": 3, \"target\": 8}, {\"weight\": 15293, \"source\": 3, \"target\": 7}, {\"weight\": 16543, \"source\": 4, \"target\": 6}, {\"weight\": 15598, \"source\": 4, \"target\": 5}, {\"weight\": 9439, \"source\": 4, \"target\": 8}, {\"weight\": 5345, \"source\": 4, \"target\": 7}, {\"weight\": 2409, \"source\": 5, \"target\": 6}, {\"weight\": 9329, \"source\": 5, \"target\": 8}, {\"weight\": 12841, \"source\": 5, \"target\": 7}, {\"weight\": 10736, \"source\": 6, \"target\": 8}, {\"weight\": 13556, \"source\": 6, \"target\": 7}, {\"weight\": 7636, \"source\": 7, \"target\": 8}]}",
"id": 126,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EUG, JNB, COU, SNO, NOB, YIC, WNP, YOG, LUX\n- Travel distances (in kilometers) between each pair of airports:\nEUG to NOB: 5576\nEUG to WNP: 11225\nEUG to JNB: 16937\nEUG to YIC: 10435\nEUG to COU: 3369\nEUG to LUX: 8512\nEUG to SNO: 12892\nEUG to YOG: 3347\nJNB to NOB: 13188\nJNB to WNP: 11264\nJNB to YIC: 11089\nJNB to COU: 14523\nJNB to LUX: 8713\nJNB to SNO: 10145\nJNB to YOG: 14835\nCOU to NOB: 3811\nCOU to WNP: 13893\nCOU to YIC: 12448\nCOU to LUX: 7360\nCOU to SNO: 14905\nCOU to YOG: 2623\nSNO to NOB: 18055\nSNO to WNP: 2996\nSNO to YIC: 2796\nSNO to LUX: 9741\nSNO to YOG: 15293\nNOB to WNP: 16543\nNOB to YIC: 15598\nNOB to LUX: 9439\nNOB to YOG: 5345\nYIC to WNP: 2409\nYIC to LUX: 9329\nYIC to YOG: 12841\nWNP to LUX: 10736\nWNP to YOG: 13556\nYOG to LUX: 7636\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SXB, OVB, QFN, RJA, EAS, ALC, YTZ, HFS, WBB\n- Travel distances (in kilometers) between each pair of airports:\nSXB to OVB: 4978\nSXB to WBB: 11342\nSXB to RJA: 7664\nSXB to ALC: 1318\nSXB to YTZ: 6368\nSXB to QFN: 4528\nSXB to EAS: 1306\nSXB to HFS: 1842\nOVB to WBB: 14688\nOVB to RJA: 4602\nOVB to ALC: 6214\nOVB to YTZ: 10410\nOVB to QFN: 7874\nOVB to EAS: 6206\nOVB to HFS: 4033\nQFN to WBB: 10882\nQFN to RJA: 11302\nQFN to ALC: 5242\nQFN to YTZ: 6604\nQFN to EAS: 5417\nQFN to HFS: 4421\nRJA to WBB: 16856\nRJA to ALC: 8328\nRJA to YTZ: 13790\nRJA to EAS: 8417\nRJA to HFS: 7428\nEAS to WBB: 12231\nEAS to ALC: 706\nEAS to YTZ: 6522\nEAS to HFS: 2950\nALC to WBB: 12056\nALC to YTZ: 6524\nALC to HFS: 2955\nYTZ to WBB: 6026\nYTZ to HFS: 6957\nHFS to WBB: 11235\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46164,
"style": "rule"
}
|
{
"exact_answer": 46164,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SXB\", \"id\": 0}, {\"name\": \"OVB\", \"id\": 1}, {\"name\": \"QFN\", \"id\": 2}, {\"name\": \"RJA\", \"id\": 3}, {\"name\": \"EAS\", \"id\": 4}, {\"name\": \"ALC\", \"id\": 5}, {\"name\": \"YTZ\", \"id\": 6}, {\"name\": \"HFS\", \"id\": 7}, {\"name\": \"WBB\", \"id\": 8}], \"links\": [{\"weight\": 4978, \"source\": 0, \"target\": 1}, {\"weight\": 11342, \"source\": 0, \"target\": 8}, {\"weight\": 7664, \"source\": 0, \"target\": 3}, {\"weight\": 1318, \"source\": 0, \"target\": 5}, {\"weight\": 6368, \"source\": 0, \"target\": 6}, {\"weight\": 4528, \"source\": 0, \"target\": 2}, {\"weight\": 1306, \"source\": 0, \"target\": 4}, {\"weight\": 1842, \"source\": 0, \"target\": 7}, {\"weight\": 14688, \"source\": 1, \"target\": 8}, {\"weight\": 4602, \"source\": 1, \"target\": 3}, {\"weight\": 6214, \"source\": 1, \"target\": 5}, {\"weight\": 10410, \"source\": 1, \"target\": 6}, {\"weight\": 7874, \"source\": 1, \"target\": 2}, {\"weight\": 6206, \"source\": 1, \"target\": 4}, {\"weight\": 4033, \"source\": 1, \"target\": 7}, {\"weight\": 10882, \"source\": 2, \"target\": 8}, {\"weight\": 11302, \"source\": 2, \"target\": 3}, {\"weight\": 5242, \"source\": 2, \"target\": 5}, {\"weight\": 6604, \"source\": 2, \"target\": 6}, {\"weight\": 5417, \"source\": 2, \"target\": 4}, {\"weight\": 4421, \"source\": 2, \"target\": 7}, {\"weight\": 16856, \"source\": 3, \"target\": 8}, {\"weight\": 8328, \"source\": 3, \"target\": 5}, {\"weight\": 13790, \"source\": 3, \"target\": 6}, {\"weight\": 8417, \"source\": 3, \"target\": 4}, {\"weight\": 7428, \"source\": 3, \"target\": 7}, {\"weight\": 12231, \"source\": 4, \"target\": 8}, {\"weight\": 706, \"source\": 4, \"target\": 5}, {\"weight\": 6522, \"source\": 4, \"target\": 6}, {\"weight\": 2950, \"source\": 4, \"target\": 7}, {\"weight\": 12056, \"source\": 5, \"target\": 8}, {\"weight\": 6524, \"source\": 5, \"target\": 6}, {\"weight\": 2955, \"source\": 5, \"target\": 7}, {\"weight\": 6026, \"source\": 6, \"target\": 8}, {\"weight\": 6957, \"source\": 6, \"target\": 7}, {\"weight\": 11235, \"source\": 7, \"target\": 8}]}",
"id": 127,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SXB, OVB, QFN, RJA, EAS, ALC, YTZ, HFS, WBB\n- Travel distances (in kilometers) between each pair of airports:\nSXB to OVB: 4978\nSXB to WBB: 11342\nSXB to RJA: 7664\nSXB to ALC: 1318\nSXB to YTZ: 6368\nSXB to QFN: 4528\nSXB to EAS: 1306\nSXB to HFS: 1842\nOVB to WBB: 14688\nOVB to RJA: 4602\nOVB to ALC: 6214\nOVB to YTZ: 10410\nOVB to QFN: 7874\nOVB to EAS: 6206\nOVB to HFS: 4033\nQFN to WBB: 10882\nQFN to RJA: 11302\nQFN to ALC: 5242\nQFN to YTZ: 6604\nQFN to EAS: 5417\nQFN to HFS: 4421\nRJA to WBB: 16856\nRJA to ALC: 8328\nRJA to YTZ: 13790\nRJA to EAS: 8417\nRJA to HFS: 7428\nEAS to WBB: 12231\nEAS to ALC: 706\nEAS to YTZ: 6522\nEAS to HFS: 2950\nALC to WBB: 12056\nALC to YTZ: 6524\nALC to HFS: 2955\nYTZ to WBB: 6026\nYTZ to HFS: 6957\nHFS to WBB: 11235\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IBE, GUW, RIY, OTD, IXL, YDP, CGB, BDB\n- Travel distances (in kilometers) between each pair of airports:\nAPF to CGB: 5934\nAPF to OTD: 2550\nAPF to IXL: 13840\nAPF to IBE: 2701\nAPF to GUW: 10746\nAPF to RIY: 13106\nAPF to YDP: 4169\nAPF to BDB: 15606\nIBE to CGB: 4986\nIBE to OTD: 1963\nIBE to IXL: 15473\nIBE to GUW: 12326\nIBE to RIY: 13829\nIBE to YDP: 6070\nIBE to BDB: 16598\nGUW to CGB: 13076\nGUW to OTD: 12990\nGUW to IXL: 3679\nGUW to RIY: 3697\nGUW to YDP: 8656\nGUW to BDB: 13357\nRIY to CGB: 12715\nRIY to OTD: 14939\nRIY to IXL: 4116\nRIY to YDP: 10964\nRIY to BDB: 13532\nOTD to CGB: 5567\nOTD to IXL: 16084\nOTD to YDP: 6408\nOTD to BDB: 16795\nIXL to CGB: 15839\nIXL to YDP: 11815\nIXL to BDB: 11114\nYDP to CGB: 9038\nYDP to BDB: 17523\nCGB to BDB: 15929\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57180,
"style": "rule"
}
|
{
"exact_answer": 57180,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"APF\", \"id\": 0}, {\"name\": \"IBE\", \"id\": 1}, {\"name\": \"GUW\", \"id\": 2}, {\"name\": \"RIY\", \"id\": 3}, {\"name\": \"OTD\", \"id\": 4}, {\"name\": \"IXL\", \"id\": 5}, {\"name\": \"YDP\", \"id\": 6}, {\"name\": \"CGB\", \"id\": 7}, {\"name\": \"BDB\", \"id\": 8}], \"links\": [{\"weight\": 5934, \"source\": 0, \"target\": 7}, {\"weight\": 2550, \"source\": 0, \"target\": 4}, {\"weight\": 13840, \"source\": 0, \"target\": 5}, {\"weight\": 2701, \"source\": 0, \"target\": 1}, {\"weight\": 10746, \"source\": 0, \"target\": 2}, {\"weight\": 13106, \"source\": 0, \"target\": 3}, {\"weight\": 4169, \"source\": 0, \"target\": 6}, {\"weight\": 15606, \"source\": 0, \"target\": 8}, {\"weight\": 4986, \"source\": 1, \"target\": 7}, {\"weight\": 1963, \"source\": 1, \"target\": 4}, {\"weight\": 15473, \"source\": 1, \"target\": 5}, {\"weight\": 12326, \"source\": 1, \"target\": 2}, {\"weight\": 13829, \"source\": 1, \"target\": 3}, {\"weight\": 6070, \"source\": 1, \"target\": 6}, {\"weight\": 16598, \"source\": 1, \"target\": 8}, {\"weight\": 13076, \"source\": 2, \"target\": 7}, {\"weight\": 12990, \"source\": 2, \"target\": 4}, {\"weight\": 3679, \"source\": 2, \"target\": 5}, {\"weight\": 3697, \"source\": 2, \"target\": 3}, {\"weight\": 8656, \"source\": 2, \"target\": 6}, {\"weight\": 13357, \"source\": 2, \"target\": 8}, {\"weight\": 12715, \"source\": 3, \"target\": 7}, {\"weight\": 14939, \"source\": 3, \"target\": 4}, {\"weight\": 4116, \"source\": 3, \"target\": 5}, {\"weight\": 10964, \"source\": 3, \"target\": 6}, {\"weight\": 13532, \"source\": 3, \"target\": 8}, {\"weight\": 5567, \"source\": 4, \"target\": 7}, {\"weight\": 16084, \"source\": 4, \"target\": 5}, {\"weight\": 6408, \"source\": 4, \"target\": 6}, {\"weight\": 16795, \"source\": 4, \"target\": 8}, {\"weight\": 15839, \"source\": 5, \"target\": 7}, {\"weight\": 11815, \"source\": 5, \"target\": 6}, {\"weight\": 11114, \"source\": 5, \"target\": 8}, {\"weight\": 9038, \"source\": 6, \"target\": 7}, {\"weight\": 17523, \"source\": 6, \"target\": 8}, {\"weight\": 15929, \"source\": 7, \"target\": 8}]}",
"id": 128,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IBE, GUW, RIY, OTD, IXL, YDP, CGB, BDB\n- Travel distances (in kilometers) between each pair of airports:\nAPF to CGB: 5934\nAPF to OTD: 2550\nAPF to IXL: 13840\nAPF to IBE: 2701\nAPF to GUW: 10746\nAPF to RIY: 13106\nAPF to YDP: 4169\nAPF to BDB: 15606\nIBE to CGB: 4986\nIBE to OTD: 1963\nIBE to IXL: 15473\nIBE to GUW: 12326\nIBE to RIY: 13829\nIBE to YDP: 6070\nIBE to BDB: 16598\nGUW to CGB: 13076\nGUW to OTD: 12990\nGUW to IXL: 3679\nGUW to RIY: 3697\nGUW to YDP: 8656\nGUW to BDB: 13357\nRIY to CGB: 12715\nRIY to OTD: 14939\nRIY to IXL: 4116\nRIY to YDP: 10964\nRIY to BDB: 13532\nOTD to CGB: 5567\nOTD to IXL: 16084\nOTD to YDP: 6408\nOTD to BDB: 16795\nIXL to CGB: 15839\nIXL to YDP: 11815\nIXL to BDB: 11114\nYDP to CGB: 9038\nYDP to BDB: 17523\nCGB to BDB: 15929\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGB, GFN, YFS, KSH, ZVK, SRX, CIF, LGG, HFT\n- Travel distances (in kilometers) between each pair of airports:\nUGB to YFS: 5216\nUGB to LGG: 11770\nUGB to KSH: 14664\nUGB to CIF: 11529\nUGB to SRX: 13341\nUGB to ZVK: 14726\nUGB to HFT: 11367\nUGB to GFN: 13759\nGFN to YFS: 15190\nGFN to LGG: 17684\nGFN to KSH: 13954\nGFN to CIF: 9661\nGFN to SRX: 17059\nGFN to ZVK: 8026\nGFN to HFT: 17182\nYFS to LGG: 9321\nYFS to KSH: 12215\nYFS to CIF: 10575\nYFS to SRX: 10889\nYFS to ZVK: 13789\nYFS to HFT: 8918\nKSH to LGG: 4244\nKSH to CIF: 6295\nKSH to SRX: 3826\nKSH to ZVK: 6481\nKSH to HFT: 5311\nZVK to LGG: 10205\nZVK to CIF: 3416\nZVK to SRX: 9893\nZVK to HFT: 9697\nSRX to LGG: 2662\nSRX to CIF: 9391\nSRX to HFT: 4727\nCIF to LGG: 8803\nCIF to HFT: 8128\nLGG to HFT: 3290\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55408,
"style": "rule"
}
|
{
"exact_answer": 55408,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UGB\", \"id\": 0}, {\"name\": \"GFN\", \"id\": 1}, {\"name\": \"YFS\", \"id\": 2}, {\"name\": \"KSH\", \"id\": 3}, {\"name\": \"ZVK\", \"id\": 4}, {\"name\": \"SRX\", \"id\": 5}, {\"name\": \"CIF\", \"id\": 6}, {\"name\": \"LGG\", \"id\": 7}, {\"name\": \"HFT\", \"id\": 8}], \"links\": [{\"weight\": 5216, \"source\": 0, \"target\": 2}, {\"weight\": 11770, \"source\": 0, \"target\": 7}, {\"weight\": 14664, \"source\": 0, \"target\": 3}, {\"weight\": 11529, \"source\": 0, \"target\": 6}, {\"weight\": 13341, \"source\": 0, \"target\": 5}, {\"weight\": 14726, \"source\": 0, \"target\": 4}, {\"weight\": 11367, \"source\": 0, \"target\": 8}, {\"weight\": 13759, \"source\": 0, \"target\": 1}, {\"weight\": 15190, \"source\": 1, \"target\": 2}, {\"weight\": 17684, \"source\": 1, \"target\": 7}, {\"weight\": 13954, \"source\": 1, \"target\": 3}, {\"weight\": 9661, \"source\": 1, \"target\": 6}, {\"weight\": 17059, \"source\": 1, \"target\": 5}, {\"weight\": 8026, \"source\": 1, \"target\": 4}, {\"weight\": 17182, \"source\": 1, \"target\": 8}, {\"weight\": 9321, \"source\": 2, \"target\": 7}, {\"weight\": 12215, \"source\": 2, \"target\": 3}, {\"weight\": 10575, \"source\": 2, \"target\": 6}, {\"weight\": 10889, \"source\": 2, \"target\": 5}, {\"weight\": 13789, \"source\": 2, \"target\": 4}, {\"weight\": 8918, \"source\": 2, \"target\": 8}, {\"weight\": 4244, \"source\": 3, \"target\": 7}, {\"weight\": 6295, \"source\": 3, \"target\": 6}, {\"weight\": 3826, \"source\": 3, \"target\": 5}, {\"weight\": 6481, \"source\": 3, \"target\": 4}, {\"weight\": 5311, \"source\": 3, \"target\": 8}, {\"weight\": 10205, \"source\": 4, \"target\": 7}, {\"weight\": 3416, \"source\": 4, \"target\": 6}, {\"weight\": 9893, \"source\": 4, \"target\": 5}, {\"weight\": 9697, \"source\": 4, \"target\": 8}, {\"weight\": 2662, \"source\": 5, \"target\": 7}, {\"weight\": 9391, \"source\": 5, \"target\": 6}, {\"weight\": 4727, \"source\": 5, \"target\": 8}, {\"weight\": 8803, \"source\": 6, \"target\": 7}, {\"weight\": 8128, \"source\": 6, \"target\": 8}, {\"weight\": 3290, \"source\": 7, \"target\": 8}]}",
"id": 129,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGB, GFN, YFS, KSH, ZVK, SRX, CIF, LGG, HFT\n- Travel distances (in kilometers) between each pair of airports:\nUGB to YFS: 5216\nUGB to LGG: 11770\nUGB to KSH: 14664\nUGB to CIF: 11529\nUGB to SRX: 13341\nUGB to ZVK: 14726\nUGB to HFT: 11367\nUGB to GFN: 13759\nGFN to YFS: 15190\nGFN to LGG: 17684\nGFN to KSH: 13954\nGFN to CIF: 9661\nGFN to SRX: 17059\nGFN to ZVK: 8026\nGFN to HFT: 17182\nYFS to LGG: 9321\nYFS to KSH: 12215\nYFS to CIF: 10575\nYFS to SRX: 10889\nYFS to ZVK: 13789\nYFS to HFT: 8918\nKSH to LGG: 4244\nKSH to CIF: 6295\nKSH to SRX: 3826\nKSH to ZVK: 6481\nKSH to HFT: 5311\nZVK to LGG: 10205\nZVK to CIF: 3416\nZVK to SRX: 9893\nZVK to HFT: 9697\nSRX to LGG: 2662\nSRX to CIF: 9391\nSRX to HFT: 4727\nCIF to LGG: 8803\nCIF to HFT: 8128\nLGG to HFT: 3290\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, JUJ, HVN, CGO, SRG, NOP, BGI, VOG, BKS\n- Travel distances (in kilometers) between each pair of airports:\nKRS to CGO: 8015\nKRS to VOG: 2810\nKRS to BGI: 7642\nKRS to HVN: 6287\nKRS to SRG: 11484\nKRS to JUJ: 13190\nKRS to BKS: 10963\nKRS to NOP: 2932\nJUJ to CGO: 20485\nJUJ to VOG: 14764\nJUJ to BGI: 6919\nJUJ to HVN: 9246\nJUJ to SRG: 17957\nJUJ to BKS: 18830\nJUJ to NOP: 13817\nHVN to CGO: 12010\nHVN to VOG: 8793\nHVN to BGI: 3617\nHVN to SRG: 16878\nHVN to BKS: 16809\nHVN to NOP: 8971\nCGO to VOG: 6118\nCGO to BGI: 15007\nCGO to SRG: 4929\nCGO to BKS: 4811\nCGO to NOP: 7784\nSRG to VOG: 8920\nSRG to BGI: 18779\nSRG to BKS: 961\nSRG to NOP: 10414\nNOP to VOG: 2063\nNOP to BGI: 9719\nNOP to BKS: 10115\nBGI to VOG: 10011\nBGI to BKS: 18310\nVOG to BKS: 8581\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51665,
"style": "rule"
}
|
{
"exact_answer": 51665,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRS\", \"id\": 0}, {\"name\": \"JUJ\", \"id\": 1}, {\"name\": \"HVN\", \"id\": 2}, {\"name\": \"CGO\", \"id\": 3}, {\"name\": \"SRG\", \"id\": 4}, {\"name\": \"NOP\", \"id\": 5}, {\"name\": \"BGI\", \"id\": 6}, {\"name\": \"VOG\", \"id\": 7}, {\"name\": \"BKS\", \"id\": 8}], \"links\": [{\"weight\": 8015, \"source\": 0, \"target\": 3}, {\"weight\": 2810, \"source\": 0, \"target\": 7}, {\"weight\": 7642, \"source\": 0, \"target\": 6}, {\"weight\": 6287, \"source\": 0, \"target\": 2}, {\"weight\": 11484, \"source\": 0, \"target\": 4}, {\"weight\": 13190, \"source\": 0, \"target\": 1}, {\"weight\": 10963, \"source\": 0, \"target\": 8}, {\"weight\": 2932, \"source\": 0, \"target\": 5}, {\"weight\": 20485, \"source\": 1, \"target\": 3}, {\"weight\": 14764, \"source\": 1, \"target\": 7}, {\"weight\": 6919, \"source\": 1, \"target\": 6}, {\"weight\": 9246, \"source\": 1, \"target\": 2}, {\"weight\": 17957, \"source\": 1, \"target\": 4}, {\"weight\": 18830, \"source\": 1, \"target\": 8}, {\"weight\": 13817, \"source\": 1, \"target\": 5}, {\"weight\": 12010, \"source\": 2, \"target\": 3}, {\"weight\": 8793, \"source\": 2, \"target\": 7}, {\"weight\": 3617, \"source\": 2, \"target\": 6}, {\"weight\": 16878, \"source\": 2, \"target\": 4}, {\"weight\": 16809, \"source\": 2, \"target\": 8}, {\"weight\": 8971, \"source\": 2, \"target\": 5}, {\"weight\": 6118, \"source\": 3, \"target\": 7}, {\"weight\": 15007, \"source\": 3, \"target\": 6}, {\"weight\": 4929, \"source\": 3, \"target\": 4}, {\"weight\": 4811, \"source\": 3, \"target\": 8}, {\"weight\": 7784, \"source\": 3, \"target\": 5}, {\"weight\": 8920, \"source\": 4, \"target\": 7}, {\"weight\": 18779, \"source\": 4, \"target\": 6}, {\"weight\": 961, \"source\": 4, \"target\": 8}, {\"weight\": 10414, \"source\": 4, \"target\": 5}, {\"weight\": 2063, \"source\": 5, \"target\": 7}, {\"weight\": 9719, \"source\": 5, \"target\": 6}, {\"weight\": 10115, \"source\": 5, \"target\": 8}, {\"weight\": 10011, \"source\": 6, \"target\": 7}, {\"weight\": 18310, \"source\": 6, \"target\": 8}, {\"weight\": 8581, \"source\": 7, \"target\": 8}]}",
"id": 130,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, JUJ, HVN, CGO, SRG, NOP, BGI, VOG, BKS\n- Travel distances (in kilometers) between each pair of airports:\nKRS to CGO: 8015\nKRS to VOG: 2810\nKRS to BGI: 7642\nKRS to HVN: 6287\nKRS to SRG: 11484\nKRS to JUJ: 13190\nKRS to BKS: 10963\nKRS to NOP: 2932\nJUJ to CGO: 20485\nJUJ to VOG: 14764\nJUJ to BGI: 6919\nJUJ to HVN: 9246\nJUJ to SRG: 17957\nJUJ to BKS: 18830\nJUJ to NOP: 13817\nHVN to CGO: 12010\nHVN to VOG: 8793\nHVN to BGI: 3617\nHVN to SRG: 16878\nHVN to BKS: 16809\nHVN to NOP: 8971\nCGO to VOG: 6118\nCGO to BGI: 15007\nCGO to SRG: 4929\nCGO to BKS: 4811\nCGO to NOP: 7784\nSRG to VOG: 8920\nSRG to BGI: 18779\nSRG to BKS: 961\nSRG to NOP: 10414\nNOP to VOG: 2063\nNOP to BGI: 9719\nNOP to BKS: 10115\nBGI to VOG: 10011\nBGI to BKS: 18310\nVOG to BKS: 8581\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYS, LMN, SBW, MKW, LHE, SMI, HDG, YPW, BKM\n- Travel distances (in kilometers) between each pair of airports:\nTYS to HDG: 12418\nTYS to YPW: 3696\nTYS to SMI: 9192\nTYS to LHE: 12302\nTYS to SBW: 15552\nTYS to MKW: 17888\nTYS to BKM: 15184\nTYS to LMN: 15358\nLMN to HDG: 3849\nLMN to YPW: 12166\nLMN to SMI: 10355\nLMN to LHE: 5489\nLMN to SBW: 444\nLMN to MKW: 3360\nLMN to BKM: 392\nSBW to HDG: 4043\nSBW to YPW: 12360\nSBW to SMI: 10185\nSBW to LHE: 5433\nSBW to MKW: 3423\nSBW to BKM: 586\nMKW to HDG: 6379\nMKW to YPW: 14709\nMKW to SMI: 12732\nMKW to LHE: 7969\nMKW to BKM: 3186\nLHE to HDG: 4244\nLHE to YPW: 12769\nLHE to SMI: 4929\nLHE to BKM: 5576\nSMI to HDG: 8781\nSMI to YPW: 10160\nSMI to BKM: 10442\nHDG to YPW: 9452\nHDG to BKM: 3675\nYPW to BKM: 12005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43103,
"style": "rule"
}
|
{
"exact_answer": 43103,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TYS\", \"id\": 0}, {\"name\": \"LMN\", \"id\": 1}, {\"name\": \"SBW\", \"id\": 2}, {\"name\": \"MKW\", \"id\": 3}, {\"name\": \"LHE\", \"id\": 4}, {\"name\": \"SMI\", \"id\": 5}, {\"name\": \"HDG\", \"id\": 6}, {\"name\": \"YPW\", \"id\": 7}, {\"name\": \"BKM\", \"id\": 8}], \"links\": [{\"weight\": 12418, \"source\": 0, \"target\": 6}, {\"weight\": 3696, \"source\": 0, \"target\": 7}, {\"weight\": 9192, \"source\": 0, \"target\": 5}, {\"weight\": 12302, \"source\": 0, \"target\": 4}, {\"weight\": 15552, \"source\": 0, \"target\": 2}, {\"weight\": 17888, \"source\": 0, \"target\": 3}, {\"weight\": 15184, \"source\": 0, \"target\": 8}, {\"weight\": 15358, \"source\": 0, \"target\": 1}, {\"weight\": 3849, \"source\": 1, \"target\": 6}, {\"weight\": 12166, \"source\": 1, \"target\": 7}, {\"weight\": 10355, \"source\": 1, \"target\": 5}, {\"weight\": 5489, \"source\": 1, \"target\": 4}, {\"weight\": 444, \"source\": 1, \"target\": 2}, {\"weight\": 3360, \"source\": 1, \"target\": 3}, {\"weight\": 392, \"source\": 1, \"target\": 8}, {\"weight\": 4043, \"source\": 2, \"target\": 6}, {\"weight\": 12360, \"source\": 2, \"target\": 7}, {\"weight\": 10185, \"source\": 2, \"target\": 5}, {\"weight\": 5433, \"source\": 2, \"target\": 4}, {\"weight\": 3423, \"source\": 2, \"target\": 3}, {\"weight\": 586, \"source\": 2, \"target\": 8}, {\"weight\": 6379, \"source\": 3, \"target\": 6}, {\"weight\": 14709, \"source\": 3, \"target\": 7}, {\"weight\": 12732, \"source\": 3, \"target\": 5}, {\"weight\": 7969, \"source\": 3, \"target\": 4}, {\"weight\": 3186, \"source\": 3, \"target\": 8}, {\"weight\": 4244, \"source\": 4, \"target\": 6}, {\"weight\": 12769, \"source\": 4, \"target\": 7}, {\"weight\": 4929, \"source\": 4, \"target\": 5}, {\"weight\": 5576, \"source\": 4, \"target\": 8}, {\"weight\": 8781, \"source\": 5, \"target\": 6}, {\"weight\": 10160, \"source\": 5, \"target\": 7}, {\"weight\": 10442, \"source\": 5, \"target\": 8}, {\"weight\": 9452, \"source\": 6, \"target\": 7}, {\"weight\": 3675, \"source\": 6, \"target\": 8}, {\"weight\": 12005, \"source\": 7, \"target\": 8}]}",
"id": 131,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYS, LMN, SBW, MKW, LHE, SMI, HDG, YPW, BKM\n- Travel distances (in kilometers) between each pair of airports:\nTYS to HDG: 12418\nTYS to YPW: 3696\nTYS to SMI: 9192\nTYS to LHE: 12302\nTYS to SBW: 15552\nTYS to MKW: 17888\nTYS to BKM: 15184\nTYS to LMN: 15358\nLMN to HDG: 3849\nLMN to YPW: 12166\nLMN to SMI: 10355\nLMN to LHE: 5489\nLMN to SBW: 444\nLMN to MKW: 3360\nLMN to BKM: 392\nSBW to HDG: 4043\nSBW to YPW: 12360\nSBW to SMI: 10185\nSBW to LHE: 5433\nSBW to MKW: 3423\nSBW to BKM: 586\nMKW to HDG: 6379\nMKW to YPW: 14709\nMKW to SMI: 12732\nMKW to LHE: 7969\nMKW to BKM: 3186\nLHE to HDG: 4244\nLHE to YPW: 12769\nLHE to SMI: 4929\nLHE to BKM: 5576\nSMI to HDG: 8781\nSMI to YPW: 10160\nSMI to BKM: 10442\nHDG to YPW: 9452\nHDG to BKM: 3675\nYPW to BKM: 12005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ULB, HOR, USN, KSY, IAD, RAO, HEH, IPL, LZY\n- Travel distances (in kilometers) between each pair of airports:\nULB to RAO: 14942\nULB to LZY: 10179\nULB to HEH: 9991\nULB to IAD: 13681\nULB to IPL: 10334\nULB to USN: 8907\nULB to HOR: 18290\nULB to KSY: 16563\nHOR to RAO: 8411\nHOR to LZY: 11058\nHOR to HEH: 12148\nHOR to IAD: 4784\nHOR to IPL: 8405\nHOR to USN: 12120\nHOR to KSY: 6051\nUSN to RAO: 18768\nUSN to LZY: 3468\nUSN to HEH: 3762\nUSN to IAD: 11961\nUSN to IPL: 10602\nUSN to KSY: 9045\nKSY to RAO: 12046\nKSY to LZY: 6811\nKSY to HEH: 7858\nKSY to IAD: 9599\nKSY to IPL: 12552\nIAD to RAO: 7608\nIAD to LZY: 13594\nIAD to HEH: 14144\nIAD to IPL: 3769\nRAO to LZY: 16284\nRAO to HEH: 17110\nRAO to IPL: 9914\nHEH to LZY: 2474\nHEH to IPL: 13348\nIPL to LZY: 12798\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58127,
"style": "rule"
}
|
{
"exact_answer": 58127,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ULB\", \"id\": 0}, {\"name\": \"HOR\", \"id\": 1}, {\"name\": \"USN\", \"id\": 2}, {\"name\": \"KSY\", \"id\": 3}, {\"name\": \"IAD\", \"id\": 4}, {\"name\": \"RAO\", \"id\": 5}, {\"name\": \"HEH\", \"id\": 6}, {\"name\": \"IPL\", \"id\": 7}, {\"name\": \"LZY\", \"id\": 8}], \"links\": [{\"weight\": 14942, \"source\": 0, \"target\": 5}, {\"weight\": 10179, \"source\": 0, \"target\": 8}, {\"weight\": 9991, \"source\": 0, \"target\": 6}, {\"weight\": 13681, \"source\": 0, \"target\": 4}, {\"weight\": 10334, \"source\": 0, \"target\": 7}, {\"weight\": 8907, \"source\": 0, \"target\": 2}, {\"weight\": 18290, \"source\": 0, \"target\": 1}, {\"weight\": 16563, \"source\": 0, \"target\": 3}, {\"weight\": 8411, \"source\": 1, \"target\": 5}, {\"weight\": 11058, \"source\": 1, \"target\": 8}, {\"weight\": 12148, \"source\": 1, \"target\": 6}, {\"weight\": 4784, \"source\": 1, \"target\": 4}, {\"weight\": 8405, \"source\": 1, \"target\": 7}, {\"weight\": 12120, \"source\": 1, \"target\": 2}, {\"weight\": 6051, \"source\": 1, \"target\": 3}, {\"weight\": 18768, \"source\": 2, \"target\": 5}, {\"weight\": 3468, \"source\": 2, \"target\": 8}, {\"weight\": 3762, \"source\": 2, \"target\": 6}, {\"weight\": 11961, \"source\": 2, \"target\": 4}, {\"weight\": 10602, \"source\": 2, \"target\": 7}, {\"weight\": 9045, \"source\": 2, \"target\": 3}, {\"weight\": 12046, \"source\": 3, \"target\": 5}, {\"weight\": 6811, \"source\": 3, \"target\": 8}, {\"weight\": 7858, \"source\": 3, \"target\": 6}, {\"weight\": 9599, \"source\": 3, \"target\": 4}, {\"weight\": 12552, \"source\": 3, \"target\": 7}, {\"weight\": 7608, \"source\": 4, \"target\": 5}, {\"weight\": 13594, \"source\": 4, \"target\": 8}, {\"weight\": 14144, \"source\": 4, \"target\": 6}, {\"weight\": 3769, \"source\": 4, \"target\": 7}, {\"weight\": 16284, \"source\": 5, \"target\": 8}, {\"weight\": 17110, \"source\": 5, \"target\": 6}, {\"weight\": 9914, \"source\": 5, \"target\": 7}, {\"weight\": 2474, \"source\": 6, \"target\": 8}, {\"weight\": 13348, \"source\": 6, \"target\": 7}, {\"weight\": 12798, \"source\": 7, \"target\": 8}]}",
"id": 132,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ULB, HOR, USN, KSY, IAD, RAO, HEH, IPL, LZY\n- Travel distances (in kilometers) between each pair of airports:\nULB to RAO: 14942\nULB to LZY: 10179\nULB to HEH: 9991\nULB to IAD: 13681\nULB to IPL: 10334\nULB to USN: 8907\nULB to HOR: 18290\nULB to KSY: 16563\nHOR to RAO: 8411\nHOR to LZY: 11058\nHOR to HEH: 12148\nHOR to IAD: 4784\nHOR to IPL: 8405\nHOR to USN: 12120\nHOR to KSY: 6051\nUSN to RAO: 18768\nUSN to LZY: 3468\nUSN to HEH: 3762\nUSN to IAD: 11961\nUSN to IPL: 10602\nUSN to KSY: 9045\nKSY to RAO: 12046\nKSY to LZY: 6811\nKSY to HEH: 7858\nKSY to IAD: 9599\nKSY to IPL: 12552\nIAD to RAO: 7608\nIAD to LZY: 13594\nIAD to HEH: 14144\nIAD to IPL: 3769\nRAO to LZY: 16284\nRAO to HEH: 17110\nRAO to IPL: 9914\nHEH to LZY: 2474\nHEH to IPL: 13348\nIPL to LZY: 12798\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YZR, CZX, MZH, NBO, DLZ, CSK, ELQ, GTE, AXM\n- Travel distances (in kilometers) between each pair of airports:\nYZR to NBO: 12742\nYZR to CZX: 11740\nYZR to AXM: 4635\nYZR to GTE: 17266\nYZR to CSK: 7210\nYZR to ELQ: 10560\nYZR to DLZ: 12462\nYZR to MZH: 8984\nCZX to NBO: 9414\nCZX to AXM: 15863\nCZX to GTE: 5756\nCZX to CSK: 13443\nCZX to ELQ: 7433\nCZX to DLZ: 2622\nCZX to MZH: 8386\nMZH to NBO: 5383\nMZH to AXM: 11483\nMZH to GTE: 13119\nMZH to CSK: 6162\nMZH to ELQ: 2762\nMZH to DLZ: 7277\nNBO to AXM: 13675\nNBO to GTE: 11796\nNBO to CSK: 6517\nNBO to ELQ: 3263\nNBO to DLZ: 9253\nDLZ to AXM: 16230\nDLZ to GTE: 8359\nDLZ to CSK: 11928\nDLZ to ELQ: 6632\nCSK to AXM: 8407\nCSK to GTE: 17702\nCSK to ELQ: 7305\nELQ to AXM: 12786\nELQ to GTE: 10964\nGTE to AXM: 18750\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57865,
"style": "rule"
}
|
{
"exact_answer": 57865,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YZR\", \"id\": 0}, {\"name\": \"CZX\", \"id\": 1}, {\"name\": \"MZH\", \"id\": 2}, {\"name\": \"NBO\", \"id\": 3}, {\"name\": \"DLZ\", \"id\": 4}, {\"name\": \"CSK\", \"id\": 5}, {\"name\": \"ELQ\", \"id\": 6}, {\"name\": \"GTE\", \"id\": 7}, {\"name\": \"AXM\", \"id\": 8}], \"links\": [{\"weight\": 12742, \"source\": 0, \"target\": 3}, {\"weight\": 11740, \"source\": 0, \"target\": 1}, {\"weight\": 4635, \"source\": 0, \"target\": 8}, {\"weight\": 17266, \"source\": 0, \"target\": 7}, {\"weight\": 7210, \"source\": 0, \"target\": 5}, {\"weight\": 10560, \"source\": 0, \"target\": 6}, {\"weight\": 12462, \"source\": 0, \"target\": 4}, {\"weight\": 8984, \"source\": 0, \"target\": 2}, {\"weight\": 9414, \"source\": 1, \"target\": 3}, {\"weight\": 15863, \"source\": 1, \"target\": 8}, {\"weight\": 5756, \"source\": 1, \"target\": 7}, {\"weight\": 13443, \"source\": 1, \"target\": 5}, {\"weight\": 7433, \"source\": 1, \"target\": 6}, {\"weight\": 2622, \"source\": 1, \"target\": 4}, {\"weight\": 8386, \"source\": 1, \"target\": 2}, {\"weight\": 5383, \"source\": 2, \"target\": 3}, {\"weight\": 11483, \"source\": 2, \"target\": 8}, {\"weight\": 13119, \"source\": 2, \"target\": 7}, {\"weight\": 6162, \"source\": 2, \"target\": 5}, {\"weight\": 2762, \"source\": 2, \"target\": 6}, {\"weight\": 7277, \"source\": 2, \"target\": 4}, {\"weight\": 13675, \"source\": 3, \"target\": 8}, {\"weight\": 11796, \"source\": 3, \"target\": 7}, {\"weight\": 6517, \"source\": 3, \"target\": 5}, {\"weight\": 3263, \"source\": 3, \"target\": 6}, {\"weight\": 9253, \"source\": 3, \"target\": 4}, {\"weight\": 16230, \"source\": 4, \"target\": 8}, {\"weight\": 8359, \"source\": 4, \"target\": 7}, {\"weight\": 11928, \"source\": 4, \"target\": 5}, {\"weight\": 6632, \"source\": 4, \"target\": 6}, {\"weight\": 8407, \"source\": 5, \"target\": 8}, {\"weight\": 17702, \"source\": 5, \"target\": 7}, {\"weight\": 7305, \"source\": 5, \"target\": 6}, {\"weight\": 12786, \"source\": 6, \"target\": 8}, {\"weight\": 10964, \"source\": 6, \"target\": 7}, {\"weight\": 18750, \"source\": 7, \"target\": 8}]}",
"id": 133,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YZR, CZX, MZH, NBO, DLZ, CSK, ELQ, GTE, AXM\n- Travel distances (in kilometers) between each pair of airports:\nYZR to NBO: 12742\nYZR to CZX: 11740\nYZR to AXM: 4635\nYZR to GTE: 17266\nYZR to CSK: 7210\nYZR to ELQ: 10560\nYZR to DLZ: 12462\nYZR to MZH: 8984\nCZX to NBO: 9414\nCZX to AXM: 15863\nCZX to GTE: 5756\nCZX to CSK: 13443\nCZX to ELQ: 7433\nCZX to DLZ: 2622\nCZX to MZH: 8386\nMZH to NBO: 5383\nMZH to AXM: 11483\nMZH to GTE: 13119\nMZH to CSK: 6162\nMZH to ELQ: 2762\nMZH to DLZ: 7277\nNBO to AXM: 13675\nNBO to GTE: 11796\nNBO to CSK: 6517\nNBO to ELQ: 3263\nNBO to DLZ: 9253\nDLZ to AXM: 16230\nDLZ to GTE: 8359\nDLZ to CSK: 11928\nDLZ to ELQ: 6632\nCSK to AXM: 8407\nCSK to GTE: 17702\nCSK to ELQ: 7305\nELQ to AXM: 12786\nELQ to GTE: 10964\nGTE to AXM: 18750\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAG, SCZ, PNQ, OMA, NYK, TEN, FNC, NLD, BVE\n- Travel distances (in kilometers) between each pair of airports:\nYAG to PNQ: 13884\nYAG to BVE: 7651\nYAG to OMA: 1436\nYAG to FNC: 6711\nYAG to NLD: 4755\nYAG to TEN: 12214\nYAG to NYK: 14340\nYAG to SCZ: 14408\nSCZ to PNQ: 10796\nSCZ to BVE: 17134\nSCZ to OMA: 13772\nSCZ to FNC: 19082\nSCZ to NLD: 15019\nSCZ to TEN: 7890\nSCZ to NYK: 15451\nPNQ to BVE: 7384\nPNQ to OMA: 13844\nPNQ to FNC: 9132\nPNQ to NLD: 16786\nPNQ to TEN: 3782\nPNQ to NYK: 5193\nOMA to BVE: 7665\nOMA to FNC: 6863\nOMA to NLD: 3341\nOMA to TEN: 12385\nOMA to NYK: 14333\nNYK to BVE: 7316\nNYK to FNC: 8387\nNYK to NLD: 16717\nNYK to TEN: 8939\nTEN to BVE: 9496\nTEN to FNC: 11463\nTEN to NLD: 14838\nFNC to BVE: 2500\nFNC to NLD: 9382\nNLD to BVE: 10491\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53188,
"style": "rule"
}
|
{
"exact_answer": 53188,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAG\", \"id\": 0}, {\"name\": \"SCZ\", \"id\": 1}, {\"name\": \"PNQ\", \"id\": 2}, {\"name\": \"OMA\", \"id\": 3}, {\"name\": \"NYK\", \"id\": 4}, {\"name\": \"TEN\", \"id\": 5}, {\"name\": \"FNC\", \"id\": 6}, {\"name\": \"NLD\", \"id\": 7}, {\"name\": \"BVE\", \"id\": 8}], \"links\": [{\"weight\": 13884, \"source\": 0, \"target\": 2}, {\"weight\": 7651, \"source\": 0, \"target\": 8}, {\"weight\": 1436, \"source\": 0, \"target\": 3}, {\"weight\": 6711, \"source\": 0, \"target\": 6}, {\"weight\": 4755, \"source\": 0, \"target\": 7}, {\"weight\": 12214, \"source\": 0, \"target\": 5}, {\"weight\": 14340, \"source\": 0, \"target\": 4}, {\"weight\": 14408, \"source\": 0, \"target\": 1}, {\"weight\": 10796, \"source\": 1, \"target\": 2}, {\"weight\": 17134, \"source\": 1, \"target\": 8}, {\"weight\": 13772, \"source\": 1, \"target\": 3}, {\"weight\": 19082, \"source\": 1, \"target\": 6}, {\"weight\": 15019, \"source\": 1, \"target\": 7}, {\"weight\": 7890, \"source\": 1, \"target\": 5}, {\"weight\": 15451, \"source\": 1, \"target\": 4}, {\"weight\": 7384, \"source\": 2, \"target\": 8}, {\"weight\": 13844, \"source\": 2, \"target\": 3}, {\"weight\": 9132, \"source\": 2, \"target\": 6}, {\"weight\": 16786, \"source\": 2, \"target\": 7}, {\"weight\": 3782, \"source\": 2, \"target\": 5}, {\"weight\": 5193, \"source\": 2, \"target\": 4}, {\"weight\": 7665, \"source\": 3, \"target\": 8}, {\"weight\": 6863, \"source\": 3, \"target\": 6}, {\"weight\": 3341, \"source\": 3, \"target\": 7}, {\"weight\": 12385, \"source\": 3, \"target\": 5}, {\"weight\": 14333, \"source\": 3, \"target\": 4}, {\"weight\": 7316, \"source\": 4, \"target\": 8}, {\"weight\": 8387, \"source\": 4, \"target\": 6}, {\"weight\": 16717, \"source\": 4, \"target\": 7}, {\"weight\": 8939, \"source\": 4, \"target\": 5}, {\"weight\": 9496, \"source\": 5, \"target\": 8}, {\"weight\": 11463, \"source\": 5, \"target\": 6}, {\"weight\": 14838, \"source\": 5, \"target\": 7}, {\"weight\": 2500, \"source\": 6, \"target\": 8}, {\"weight\": 9382, \"source\": 6, \"target\": 7}, {\"weight\": 10491, \"source\": 7, \"target\": 8}]}",
"id": 134,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAG, SCZ, PNQ, OMA, NYK, TEN, FNC, NLD, BVE\n- Travel distances (in kilometers) between each pair of airports:\nYAG to PNQ: 13884\nYAG to BVE: 7651\nYAG to OMA: 1436\nYAG to FNC: 6711\nYAG to NLD: 4755\nYAG to TEN: 12214\nYAG to NYK: 14340\nYAG to SCZ: 14408\nSCZ to PNQ: 10796\nSCZ to BVE: 17134\nSCZ to OMA: 13772\nSCZ to FNC: 19082\nSCZ to NLD: 15019\nSCZ to TEN: 7890\nSCZ to NYK: 15451\nPNQ to BVE: 7384\nPNQ to OMA: 13844\nPNQ to FNC: 9132\nPNQ to NLD: 16786\nPNQ to TEN: 3782\nPNQ to NYK: 5193\nOMA to BVE: 7665\nOMA to FNC: 6863\nOMA to NLD: 3341\nOMA to TEN: 12385\nOMA to NYK: 14333\nNYK to BVE: 7316\nNYK to FNC: 8387\nNYK to NLD: 16717\nNYK to TEN: 8939\nTEN to BVE: 9496\nTEN to FNC: 11463\nTEN to NLD: 14838\nFNC to BVE: 2500\nFNC to NLD: 9382\nNLD to BVE: 10491\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FDE, LIR, HGH, WRY, WWP, CNM, AXA, INH, TCT\n- Travel distances (in kilometers) between each pair of airports:\nFDE to HGH: 8537\nFDE to TCT: 10125\nFDE to LIR: 9263\nFDE to AXA: 7937\nFDE to WWP: 8639\nFDE to WRY: 915\nFDE to CNM: 8272\nFDE to INH: 10688\nLIR to HGH: 14706\nLIR to TCT: 7999\nLIR to AXA: 2682\nLIR to WWP: 6610\nLIR to WRY: 9107\nLIR to CNM: 3948\nLIR to INH: 13955\nHGH to TCT: 12050\nHGH to AXA: 14796\nHGH to WWP: 10564\nHGH to WRY: 9281\nHGH to CNM: 11617\nHGH to INH: 12495\nWRY to TCT: 10256\nWRY to AXA: 7669\nWRY to WWP: 8770\nWRY to CNM: 8403\nWRY to INH: 10706\nWWP to TCT: 1788\nWWP to AXA: 7475\nWWP to CNM: 3481\nWWP to INH: 18695\nCNM to TCT: 4950\nCNM to AXA: 5065\nCNM to INH: 16754\nAXA to TCT: 8510\nAXA to INH: 13195\nINH to TCT: 19663\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55699,
"style": "rule"
}
|
{
"exact_answer": 55699,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FDE\", \"id\": 0}, {\"name\": \"LIR\", \"id\": 1}, {\"name\": \"HGH\", \"id\": 2}, {\"name\": \"WRY\", \"id\": 3}, {\"name\": \"WWP\", \"id\": 4}, {\"name\": \"CNM\", \"id\": 5}, {\"name\": \"AXA\", \"id\": 6}, {\"name\": \"INH\", \"id\": 7}, {\"name\": \"TCT\", \"id\": 8}], \"links\": [{\"weight\": 8537, \"source\": 0, \"target\": 2}, {\"weight\": 10125, \"source\": 0, \"target\": 8}, {\"weight\": 9263, \"source\": 0, \"target\": 1}, {\"weight\": 7937, \"source\": 0, \"target\": 6}, {\"weight\": 8639, \"source\": 0, \"target\": 4}, {\"weight\": 915, \"source\": 0, \"target\": 3}, {\"weight\": 8272, \"source\": 0, \"target\": 5}, {\"weight\": 10688, \"source\": 0, \"target\": 7}, {\"weight\": 14706, \"source\": 1, \"target\": 2}, {\"weight\": 7999, \"source\": 1, \"target\": 8}, {\"weight\": 2682, \"source\": 1, \"target\": 6}, {\"weight\": 6610, \"source\": 1, \"target\": 4}, {\"weight\": 9107, \"source\": 1, \"target\": 3}, {\"weight\": 3948, \"source\": 1, \"target\": 5}, {\"weight\": 13955, \"source\": 1, \"target\": 7}, {\"weight\": 12050, \"source\": 2, \"target\": 8}, {\"weight\": 14796, \"source\": 2, \"target\": 6}, {\"weight\": 10564, \"source\": 2, \"target\": 4}, {\"weight\": 9281, \"source\": 2, \"target\": 3}, {\"weight\": 11617, \"source\": 2, \"target\": 5}, {\"weight\": 12495, \"source\": 2, \"target\": 7}, {\"weight\": 10256, \"source\": 3, \"target\": 8}, {\"weight\": 7669, \"source\": 3, \"target\": 6}, {\"weight\": 8770, \"source\": 3, \"target\": 4}, {\"weight\": 8403, \"source\": 3, \"target\": 5}, {\"weight\": 10706, \"source\": 3, \"target\": 7}, {\"weight\": 1788, \"source\": 4, \"target\": 8}, {\"weight\": 7475, \"source\": 4, \"target\": 6}, {\"weight\": 3481, \"source\": 4, \"target\": 5}, {\"weight\": 18695, \"source\": 4, \"target\": 7}, {\"weight\": 4950, \"source\": 5, \"target\": 8}, {\"weight\": 5065, \"source\": 5, \"target\": 6}, {\"weight\": 16754, \"source\": 5, \"target\": 7}, {\"weight\": 8510, \"source\": 6, \"target\": 8}, {\"weight\": 13195, \"source\": 6, \"target\": 7}, {\"weight\": 19663, \"source\": 7, \"target\": 8}]}",
"id": 135,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FDE, LIR, HGH, WRY, WWP, CNM, AXA, INH, TCT\n- Travel distances (in kilometers) between each pair of airports:\nFDE to HGH: 8537\nFDE to TCT: 10125\nFDE to LIR: 9263\nFDE to AXA: 7937\nFDE to WWP: 8639\nFDE to WRY: 915\nFDE to CNM: 8272\nFDE to INH: 10688\nLIR to HGH: 14706\nLIR to TCT: 7999\nLIR to AXA: 2682\nLIR to WWP: 6610\nLIR to WRY: 9107\nLIR to CNM: 3948\nLIR to INH: 13955\nHGH to TCT: 12050\nHGH to AXA: 14796\nHGH to WWP: 10564\nHGH to WRY: 9281\nHGH to CNM: 11617\nHGH to INH: 12495\nWRY to TCT: 10256\nWRY to AXA: 7669\nWRY to WWP: 8770\nWRY to CNM: 8403\nWRY to INH: 10706\nWWP to TCT: 1788\nWWP to AXA: 7475\nWWP to CNM: 3481\nWWP to INH: 18695\nCNM to TCT: 4950\nCNM to AXA: 5065\nCNM to INH: 16754\nAXA to TCT: 8510\nAXA to INH: 13195\nINH to TCT: 19663\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BWK, MLO, AIN, GIS, SVB, PBM, KNS, FEG, ANV\n- Travel distances (in kilometers) between each pair of airports:\nBWK to FEG: 4782\nBWK to AIN: 12613\nBWK to ANV: 12166\nBWK to PBM: 8899\nBWK to MLO: 1520\nBWK to SVB: 8262\nBWK to GIS: 18698\nBWK to KNS: 16344\nMLO to FEG: 4260\nMLO to AIN: 13562\nMLO to ANV: 13115\nMLO to PBM: 9658\nMLO to SVB: 7032\nMLO to GIS: 17952\nMLO to KNS: 15316\nAIN to FEG: 15531\nAIN to ANV: 1921\nAIN to PBM: 11182\nAIN to SVB: 20164\nAIN to GIS: 13195\nAIN to KNS: 14905\nGIS to FEG: 14436\nGIS to ANV: 12529\nGIS to PBM: 16125\nGIS to SVB: 12935\nGIS to KNS: 3229\nSVB to FEG: 7914\nSVB to ANV: 19717\nSVB to PBM: 13678\nSVB to KNS: 10223\nPBM to FEG: 12674\nPBM to ANV: 10516\nPBM to KNS: 18441\nKNS to FEG: 12136\nKNS to ANV: 14239\nFEG to ANV: 15084\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61677,
"style": "rule"
}
|
{
"exact_answer": 61677,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BWK\", \"id\": 0}, {\"name\": \"MLO\", \"id\": 1}, {\"name\": \"AIN\", \"id\": 2}, {\"name\": \"GIS\", \"id\": 3}, {\"name\": \"SVB\", \"id\": 4}, {\"name\": \"PBM\", \"id\": 5}, {\"name\": \"KNS\", \"id\": 6}, {\"name\": \"FEG\", \"id\": 7}, {\"name\": \"ANV\", \"id\": 8}], \"links\": [{\"weight\": 4782, \"source\": 0, \"target\": 7}, {\"weight\": 12613, \"source\": 0, \"target\": 2}, {\"weight\": 12166, \"source\": 0, \"target\": 8}, {\"weight\": 8899, \"source\": 0, \"target\": 5}, {\"weight\": 1520, \"source\": 0, \"target\": 1}, {\"weight\": 8262, \"source\": 0, \"target\": 4}, {\"weight\": 18698, \"source\": 0, \"target\": 3}, {\"weight\": 16344, \"source\": 0, \"target\": 6}, {\"weight\": 4260, \"source\": 1, \"target\": 7}, {\"weight\": 13562, \"source\": 1, \"target\": 2}, {\"weight\": 13115, \"source\": 1, \"target\": 8}, {\"weight\": 9658, \"source\": 1, \"target\": 5}, {\"weight\": 7032, \"source\": 1, \"target\": 4}, {\"weight\": 17952, \"source\": 1, \"target\": 3}, {\"weight\": 15316, \"source\": 1, \"target\": 6}, {\"weight\": 15531, \"source\": 2, \"target\": 7}, {\"weight\": 1921, \"source\": 2, \"target\": 8}, {\"weight\": 11182, \"source\": 2, \"target\": 5}, {\"weight\": 20164, \"source\": 2, \"target\": 4}, {\"weight\": 13195, \"source\": 2, \"target\": 3}, {\"weight\": 14905, \"source\": 2, \"target\": 6}, {\"weight\": 14436, \"source\": 3, \"target\": 7}, {\"weight\": 12529, \"source\": 3, \"target\": 8}, {\"weight\": 16125, \"source\": 3, \"target\": 5}, {\"weight\": 12935, \"source\": 3, \"target\": 4}, {\"weight\": 3229, \"source\": 3, \"target\": 6}, {\"weight\": 7914, \"source\": 4, \"target\": 7}, {\"weight\": 19717, \"source\": 4, \"target\": 8}, {\"weight\": 13678, \"source\": 4, \"target\": 5}, {\"weight\": 10223, \"source\": 4, \"target\": 6}, {\"weight\": 12674, \"source\": 5, \"target\": 7}, {\"weight\": 10516, \"source\": 5, \"target\": 8}, {\"weight\": 18441, \"source\": 5, \"target\": 6}, {\"weight\": 12136, \"source\": 6, \"target\": 7}, {\"weight\": 14239, \"source\": 6, \"target\": 8}, {\"weight\": 15084, \"source\": 7, \"target\": 8}]}",
"id": 136,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BWK, MLO, AIN, GIS, SVB, PBM, KNS, FEG, ANV\n- Travel distances (in kilometers) between each pair of airports:\nBWK to FEG: 4782\nBWK to AIN: 12613\nBWK to ANV: 12166\nBWK to PBM: 8899\nBWK to MLO: 1520\nBWK to SVB: 8262\nBWK to GIS: 18698\nBWK to KNS: 16344\nMLO to FEG: 4260\nMLO to AIN: 13562\nMLO to ANV: 13115\nMLO to PBM: 9658\nMLO to SVB: 7032\nMLO to GIS: 17952\nMLO to KNS: 15316\nAIN to FEG: 15531\nAIN to ANV: 1921\nAIN to PBM: 11182\nAIN to SVB: 20164\nAIN to GIS: 13195\nAIN to KNS: 14905\nGIS to FEG: 14436\nGIS to ANV: 12529\nGIS to PBM: 16125\nGIS to SVB: 12935\nGIS to KNS: 3229\nSVB to FEG: 7914\nSVB to ANV: 19717\nSVB to PBM: 13678\nSVB to KNS: 10223\nPBM to FEG: 12674\nPBM to ANV: 10516\nPBM to KNS: 18441\nKNS to FEG: 12136\nKNS to ANV: 14239\nFEG to ANV: 15084\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LNB, IKE, ARI, UTP, LXR, YYQ, SWJ, ZGS, ANR\n- Travel distances (in kilometers) between each pair of airports:\nLNB to YYQ: 13415\nLNB to ANR: 17589\nLNB to IKE: 18477\nLNB to ARI: 13687\nLNB to LXR: 15829\nLNB to SWJ: 148\nLNB to UTP: 9119\nLNB to ZGS: 15118\nIKE to YYQ: 8873\nIKE to ANR: 4419\nIKE to ARI: 13090\nIKE to LXR: 7618\nIKE to SWJ: 18515\nIKE to UTP: 13374\nIKE to ZGS: 7643\nARI to YYQ: 9238\nARI to ANR: 11337\nARI to LXR: 13504\nARI to SWJ: 13725\nARI to UTP: 19787\nARI to ZGS: 8401\nUTP to YYQ: 15500\nUTP to ANR: 10676\nUTP to LXR: 7772\nUTP to SWJ: 9157\nUTP to ZGS: 14955\nLXR to YYQ: 11841\nLXR to ANR: 4321\nLXR to SWJ: 15867\nLXR to ZGS: 8556\nYYQ to ANR: 8551\nYYQ to SWJ: 13453\nYYQ to ZGS: 3555\nSWJ to ANR: 17627\nSWJ to ZGS: 15156\nZGS to ANR: 5504\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59940,
"style": "rule"
}
|
{
"exact_answer": 59940,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LNB\", \"id\": 0}, {\"name\": \"IKE\", \"id\": 1}, {\"name\": \"ARI\", \"id\": 2}, {\"name\": \"UTP\", \"id\": 3}, {\"name\": \"LXR\", \"id\": 4}, {\"name\": \"YYQ\", \"id\": 5}, {\"name\": \"SWJ\", \"id\": 6}, {\"name\": \"ZGS\", \"id\": 7}, {\"name\": \"ANR\", \"id\": 8}], \"links\": [{\"weight\": 13415, \"source\": 0, \"target\": 5}, {\"weight\": 17589, \"source\": 0, \"target\": 8}, {\"weight\": 18477, \"source\": 0, \"target\": 1}, {\"weight\": 13687, \"source\": 0, \"target\": 2}, {\"weight\": 15829, \"source\": 0, \"target\": 4}, {\"weight\": 148, \"source\": 0, \"target\": 6}, {\"weight\": 9119, \"source\": 0, \"target\": 3}, {\"weight\": 15118, \"source\": 0, \"target\": 7}, {\"weight\": 8873, \"source\": 1, \"target\": 5}, {\"weight\": 4419, \"source\": 1, \"target\": 8}, {\"weight\": 13090, \"source\": 1, \"target\": 2}, {\"weight\": 7618, \"source\": 1, \"target\": 4}, {\"weight\": 18515, \"source\": 1, \"target\": 6}, {\"weight\": 13374, \"source\": 1, \"target\": 3}, {\"weight\": 7643, \"source\": 1, \"target\": 7}, {\"weight\": 9238, \"source\": 2, \"target\": 5}, {\"weight\": 11337, \"source\": 2, \"target\": 8}, {\"weight\": 13504, \"source\": 2, \"target\": 4}, {\"weight\": 13725, \"source\": 2, \"target\": 6}, {\"weight\": 19787, \"source\": 2, \"target\": 3}, {\"weight\": 8401, \"source\": 2, \"target\": 7}, {\"weight\": 15500, \"source\": 3, \"target\": 5}, {\"weight\": 10676, \"source\": 3, \"target\": 8}, {\"weight\": 7772, \"source\": 3, \"target\": 4}, {\"weight\": 9157, \"source\": 3, \"target\": 6}, {\"weight\": 14955, \"source\": 3, \"target\": 7}, {\"weight\": 11841, \"source\": 4, \"target\": 5}, {\"weight\": 4321, \"source\": 4, \"target\": 8}, {\"weight\": 15867, \"source\": 4, \"target\": 6}, {\"weight\": 8556, \"source\": 4, \"target\": 7}, {\"weight\": 8551, \"source\": 5, \"target\": 8}, {\"weight\": 13453, \"source\": 5, \"target\": 6}, {\"weight\": 3555, \"source\": 5, \"target\": 7}, {\"weight\": 17627, \"source\": 6, \"target\": 8}, {\"weight\": 15156, \"source\": 6, \"target\": 7}, {\"weight\": 5504, \"source\": 7, \"target\": 8}]}",
"id": 137,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LNB, IKE, ARI, UTP, LXR, YYQ, SWJ, ZGS, ANR\n- Travel distances (in kilometers) between each pair of airports:\nLNB to YYQ: 13415\nLNB to ANR: 17589\nLNB to IKE: 18477\nLNB to ARI: 13687\nLNB to LXR: 15829\nLNB to SWJ: 148\nLNB to UTP: 9119\nLNB to ZGS: 15118\nIKE to YYQ: 8873\nIKE to ANR: 4419\nIKE to ARI: 13090\nIKE to LXR: 7618\nIKE to SWJ: 18515\nIKE to UTP: 13374\nIKE to ZGS: 7643\nARI to YYQ: 9238\nARI to ANR: 11337\nARI to LXR: 13504\nARI to SWJ: 13725\nARI to UTP: 19787\nARI to ZGS: 8401\nUTP to YYQ: 15500\nUTP to ANR: 10676\nUTP to LXR: 7772\nUTP to SWJ: 9157\nUTP to ZGS: 14955\nLXR to YYQ: 11841\nLXR to ANR: 4321\nLXR to SWJ: 15867\nLXR to ZGS: 8556\nYYQ to ANR: 8551\nYYQ to SWJ: 13453\nYYQ to ZGS: 3555\nSWJ to ANR: 17627\nSWJ to ZGS: 15156\nZGS to ANR: 5504\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NCU, ORK, IND, YIH, GHA, BKI, VOZ, MEC, DPL\n- Travel distances (in kilometers) between each pair of airports:\nNCU to YIH: 4918\nNCU to BKI: 7125\nNCU to DPL: 7450\nNCU to VOZ: 2531\nNCU to IND: 10364\nNCU to GHA: 5945\nNCU to ORK: 5150\nNCU to MEC: 14065\nORK to YIH: 9158\nORK to BKI: 11906\nORK to DPL: 11921\nORK to VOZ: 3428\nORK to IND: 6510\nORK to GHA: 2419\nORK to MEC: 9880\nIND to YIH: 11991\nIND to BKI: 14464\nIND to DPL: 13839\nIND to VOZ: 8636\nIND to GHA: 7927\nIND to MEC: 4761\nYIH to BKI: 2791\nYIH to DPL: 2806\nYIH to VOZ: 6922\nYIH to GHA: 9803\nYIH to MEC: 16747\nGHA to BKI: 12004\nGHA to DPL: 12351\nGHA to VOZ: 3939\nGHA to MEC: 9849\nBKI to DPL: 1293\nBKI to VOZ: 9350\nBKI to MEC: 18719\nVOZ to DPL: 9365\nVOZ to MEC: 12289\nMEC to DPL: 18118\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45829,
"style": "rule"
}
|
{
"exact_answer": 45829,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NCU\", \"id\": 0}, {\"name\": \"ORK\", \"id\": 1}, {\"name\": \"IND\", \"id\": 2}, {\"name\": \"YIH\", \"id\": 3}, {\"name\": \"GHA\", \"id\": 4}, {\"name\": \"BKI\", \"id\": 5}, {\"name\": \"VOZ\", \"id\": 6}, {\"name\": \"MEC\", \"id\": 7}, {\"name\": \"DPL\", \"id\": 8}], \"links\": [{\"weight\": 4918, \"source\": 0, \"target\": 3}, {\"weight\": 7125, \"source\": 0, \"target\": 5}, {\"weight\": 7450, \"source\": 0, \"target\": 8}, {\"weight\": 2531, \"source\": 0, \"target\": 6}, {\"weight\": 10364, \"source\": 0, \"target\": 2}, {\"weight\": 5945, \"source\": 0, \"target\": 4}, {\"weight\": 5150, \"source\": 0, \"target\": 1}, {\"weight\": 14065, \"source\": 0, \"target\": 7}, {\"weight\": 9158, \"source\": 1, \"target\": 3}, {\"weight\": 11906, \"source\": 1, \"target\": 5}, {\"weight\": 11921, \"source\": 1, \"target\": 8}, {\"weight\": 3428, \"source\": 1, \"target\": 6}, {\"weight\": 6510, \"source\": 1, \"target\": 2}, {\"weight\": 2419, \"source\": 1, \"target\": 4}, {\"weight\": 9880, \"source\": 1, \"target\": 7}, {\"weight\": 11991, \"source\": 2, \"target\": 3}, {\"weight\": 14464, \"source\": 2, \"target\": 5}, {\"weight\": 13839, \"source\": 2, \"target\": 8}, {\"weight\": 8636, \"source\": 2, \"target\": 6}, {\"weight\": 7927, \"source\": 2, \"target\": 4}, {\"weight\": 4761, \"source\": 2, \"target\": 7}, {\"weight\": 2791, \"source\": 3, \"target\": 5}, {\"weight\": 2806, \"source\": 3, \"target\": 8}, {\"weight\": 6922, \"source\": 3, \"target\": 6}, {\"weight\": 9803, \"source\": 3, \"target\": 4}, {\"weight\": 16747, \"source\": 3, \"target\": 7}, {\"weight\": 12004, \"source\": 4, \"target\": 5}, {\"weight\": 12351, \"source\": 4, \"target\": 8}, {\"weight\": 3939, \"source\": 4, \"target\": 6}, {\"weight\": 9849, \"source\": 4, \"target\": 7}, {\"weight\": 1293, \"source\": 5, \"target\": 8}, {\"weight\": 9350, \"source\": 5, \"target\": 6}, {\"weight\": 18719, \"source\": 5, \"target\": 7}, {\"weight\": 9365, \"source\": 6, \"target\": 8}, {\"weight\": 12289, \"source\": 6, \"target\": 7}, {\"weight\": 18118, \"source\": 7, \"target\": 8}]}",
"id": 138,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NCU, ORK, IND, YIH, GHA, BKI, VOZ, MEC, DPL\n- Travel distances (in kilometers) between each pair of airports:\nNCU to YIH: 4918\nNCU to BKI: 7125\nNCU to DPL: 7450\nNCU to VOZ: 2531\nNCU to IND: 10364\nNCU to GHA: 5945\nNCU to ORK: 5150\nNCU to MEC: 14065\nORK to YIH: 9158\nORK to BKI: 11906\nORK to DPL: 11921\nORK to VOZ: 3428\nORK to IND: 6510\nORK to GHA: 2419\nORK to MEC: 9880\nIND to YIH: 11991\nIND to BKI: 14464\nIND to DPL: 13839\nIND to VOZ: 8636\nIND to GHA: 7927\nIND to MEC: 4761\nYIH to BKI: 2791\nYIH to DPL: 2806\nYIH to VOZ: 6922\nYIH to GHA: 9803\nYIH to MEC: 16747\nGHA to BKI: 12004\nGHA to DPL: 12351\nGHA to VOZ: 3939\nGHA to MEC: 9849\nBKI to DPL: 1293\nBKI to VOZ: 9350\nBKI to MEC: 18719\nVOZ to DPL: 9365\nVOZ to MEC: 12289\nMEC to DPL: 18118\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDK, VVI, CXR, INV, NOS, MVP, ADK, RMF, BUS\n- Travel distances (in kilometers) between each pair of airports:\nSDK to RMF: 10091\nSDK to MVP: 19194\nSDK to BUS: 8684\nSDK to VVI: 19595\nSDK to ADK: 16223\nSDK to INV: 11762\nSDK to CXR: 3061\nSDK to NOS: 8659\nVVI to RMF: 12740\nVVI to MVP: 3577\nVVI to BUS: 12691\nVVI to ADK: 13483\nVVI to INV: 10818\nVVI to CXR: 19166\nVVI to NOS: 12037\nCXR to RMF: 8906\nCXR to MVP: 18794\nCXR to BUS: 7496\nCXR to ADK: 16027\nCXR to INV: 10483\nCXR to NOS: 8181\nINV to RMF: 4689\nINV to MVP: 9502\nINV to BUS: 3828\nINV to ADK: 11614\nINV to NOS: 9391\nNOS to RMF: 6033\nNOS to MVP: 15102\nNOS to BUS: 7173\nNOS to ADK: 20657\nMVP to RMF: 12494\nMVP to BUS: 12383\nMVP to ADK: 11319\nADK to RMF: 15948\nADK to BUS: 14766\nRMF to BUS: 2660\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65112,
"style": "rule"
}
|
{
"exact_answer": 65112,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SDK\", \"id\": 0}, {\"name\": \"VVI\", \"id\": 1}, {\"name\": \"CXR\", \"id\": 2}, {\"name\": \"INV\", \"id\": 3}, {\"name\": \"NOS\", \"id\": 4}, {\"name\": \"MVP\", \"id\": 5}, {\"name\": \"ADK\", \"id\": 6}, {\"name\": \"RMF\", \"id\": 7}, {\"name\": \"BUS\", \"id\": 8}], \"links\": [{\"weight\": 10091, \"source\": 0, \"target\": 7}, {\"weight\": 19194, \"source\": 0, \"target\": 5}, {\"weight\": 8684, \"source\": 0, \"target\": 8}, {\"weight\": 19595, \"source\": 0, \"target\": 1}, {\"weight\": 16223, \"source\": 0, \"target\": 6}, {\"weight\": 11762, \"source\": 0, \"target\": 3}, {\"weight\": 3061, \"source\": 0, \"target\": 2}, {\"weight\": 8659, \"source\": 0, \"target\": 4}, {\"weight\": 12740, \"source\": 1, \"target\": 7}, {\"weight\": 3577, \"source\": 1, \"target\": 5}, {\"weight\": 12691, \"source\": 1, \"target\": 8}, {\"weight\": 13483, \"source\": 1, \"target\": 6}, {\"weight\": 10818, \"source\": 1, \"target\": 3}, {\"weight\": 19166, \"source\": 1, \"target\": 2}, {\"weight\": 12037, \"source\": 1, \"target\": 4}, {\"weight\": 8906, \"source\": 2, \"target\": 7}, {\"weight\": 18794, \"source\": 2, \"target\": 5}, {\"weight\": 7496, \"source\": 2, \"target\": 8}, {\"weight\": 16027, \"source\": 2, \"target\": 6}, {\"weight\": 10483, \"source\": 2, \"target\": 3}, {\"weight\": 8181, \"source\": 2, \"target\": 4}, {\"weight\": 4689, \"source\": 3, \"target\": 7}, {\"weight\": 9502, \"source\": 3, \"target\": 5}, {\"weight\": 3828, \"source\": 3, \"target\": 8}, {\"weight\": 11614, \"source\": 3, \"target\": 6}, {\"weight\": 9391, \"source\": 3, \"target\": 4}, {\"weight\": 6033, \"source\": 4, \"target\": 7}, {\"weight\": 15102, \"source\": 4, \"target\": 5}, {\"weight\": 7173, \"source\": 4, \"target\": 8}, {\"weight\": 20657, \"source\": 4, \"target\": 6}, {\"weight\": 12494, \"source\": 5, \"target\": 7}, {\"weight\": 12383, \"source\": 5, \"target\": 8}, {\"weight\": 11319, \"source\": 5, \"target\": 6}, {\"weight\": 15948, \"source\": 6, \"target\": 7}, {\"weight\": 14766, \"source\": 6, \"target\": 8}, {\"weight\": 2660, \"source\": 7, \"target\": 8}]}",
"id": 139,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDK, VVI, CXR, INV, NOS, MVP, ADK, RMF, BUS\n- Travel distances (in kilometers) between each pair of airports:\nSDK to RMF: 10091\nSDK to MVP: 19194\nSDK to BUS: 8684\nSDK to VVI: 19595\nSDK to ADK: 16223\nSDK to INV: 11762\nSDK to CXR: 3061\nSDK to NOS: 8659\nVVI to RMF: 12740\nVVI to MVP: 3577\nVVI to BUS: 12691\nVVI to ADK: 13483\nVVI to INV: 10818\nVVI to CXR: 19166\nVVI to NOS: 12037\nCXR to RMF: 8906\nCXR to MVP: 18794\nCXR to BUS: 7496\nCXR to ADK: 16027\nCXR to INV: 10483\nCXR to NOS: 8181\nINV to RMF: 4689\nINV to MVP: 9502\nINV to BUS: 3828\nINV to ADK: 11614\nINV to NOS: 9391\nNOS to RMF: 6033\nNOS to MVP: 15102\nNOS to BUS: 7173\nNOS to ADK: 20657\nMVP to RMF: 12494\nMVP to BUS: 12383\nMVP to ADK: 11319\nADK to RMF: 15948\nADK to BUS: 14766\nRMF to BUS: 2660\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRW, KVX, LYG, SZE, BLL, ESB, USM, YPL, FEG\n- Travel distances (in kilometers) between each pair of airports:\nTRW to FEG: 12106\nTRW to KVX: 14600\nTRW to BLL: 15212\nTRW to USM: 9104\nTRW to LYG: 7738\nTRW to SZE: 15734\nTRW to ESB: 14885\nTRW to YPL: 11496\nKVX to FEG: 3836\nKVX to BLL: 2453\nKVX to USM: 8384\nKVX to LYG: 7270\nKVX to SZE: 6357\nKVX to ESB: 2544\nKVX to YPL: 9264\nLYG to FEG: 4697\nLYG to BLL: 8026\nLYG to USM: 3443\nLYG to SZE: 9035\nLYG to ESB: 7476\nLYG to YPL: 11682\nSZE to FEG: 5282\nSZE to BLL: 6155\nSZE to USM: 7561\nSZE to ESB: 3895\nSZE to YPL: 13098\nBLL to FEG: 4780\nBLL to USM: 9321\nBLL to ESB: 2542\nBLL to YPL: 7395\nESB to FEG: 3290\nESB to USM: 7636\nESB to YPL: 9784\nUSM to FEG: 5012\nUSM to YPL: 15083\nYPL to FEG: 11743\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49258,
"style": "rule"
}
|
{
"exact_answer": 49258,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRW\", \"id\": 0}, {\"name\": \"KVX\", \"id\": 1}, {\"name\": \"LYG\", \"id\": 2}, {\"name\": \"SZE\", \"id\": 3}, {\"name\": \"BLL\", \"id\": 4}, {\"name\": \"ESB\", \"id\": 5}, {\"name\": \"USM\", \"id\": 6}, {\"name\": \"YPL\", \"id\": 7}, {\"name\": \"FEG\", \"id\": 8}], \"links\": [{\"weight\": 12106, \"source\": 0, \"target\": 8}, {\"weight\": 14600, \"source\": 0, \"target\": 1}, {\"weight\": 15212, \"source\": 0, \"target\": 4}, {\"weight\": 9104, \"source\": 0, \"target\": 6}, {\"weight\": 7738, \"source\": 0, \"target\": 2}, {\"weight\": 15734, \"source\": 0, \"target\": 3}, {\"weight\": 14885, \"source\": 0, \"target\": 5}, {\"weight\": 11496, \"source\": 0, \"target\": 7}, {\"weight\": 3836, \"source\": 1, \"target\": 8}, {\"weight\": 2453, \"source\": 1, \"target\": 4}, {\"weight\": 8384, \"source\": 1, \"target\": 6}, {\"weight\": 7270, \"source\": 1, \"target\": 2}, {\"weight\": 6357, \"source\": 1, \"target\": 3}, {\"weight\": 2544, \"source\": 1, \"target\": 5}, {\"weight\": 9264, \"source\": 1, \"target\": 7}, {\"weight\": 4697, \"source\": 2, \"target\": 8}, {\"weight\": 8026, \"source\": 2, \"target\": 4}, {\"weight\": 3443, \"source\": 2, \"target\": 6}, {\"weight\": 9035, \"source\": 2, \"target\": 3}, {\"weight\": 7476, \"source\": 2, \"target\": 5}, {\"weight\": 11682, \"source\": 2, \"target\": 7}, {\"weight\": 5282, \"source\": 3, \"target\": 8}, {\"weight\": 6155, \"source\": 3, \"target\": 4}, {\"weight\": 7561, \"source\": 3, \"target\": 6}, {\"weight\": 3895, \"source\": 3, \"target\": 5}, {\"weight\": 13098, \"source\": 3, \"target\": 7}, {\"weight\": 4780, \"source\": 4, \"target\": 8}, {\"weight\": 9321, \"source\": 4, \"target\": 6}, {\"weight\": 2542, \"source\": 4, \"target\": 5}, {\"weight\": 7395, \"source\": 4, \"target\": 7}, {\"weight\": 3290, \"source\": 5, \"target\": 8}, {\"weight\": 7636, \"source\": 5, \"target\": 6}, {\"weight\": 9784, \"source\": 5, \"target\": 7}, {\"weight\": 5012, \"source\": 6, \"target\": 8}, {\"weight\": 15083, \"source\": 6, \"target\": 7}, {\"weight\": 11743, \"source\": 7, \"target\": 8}]}",
"id": 140,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRW, KVX, LYG, SZE, BLL, ESB, USM, YPL, FEG\n- Travel distances (in kilometers) between each pair of airports:\nTRW to FEG: 12106\nTRW to KVX: 14600\nTRW to BLL: 15212\nTRW to USM: 9104\nTRW to LYG: 7738\nTRW to SZE: 15734\nTRW to ESB: 14885\nTRW to YPL: 11496\nKVX to FEG: 3836\nKVX to BLL: 2453\nKVX to USM: 8384\nKVX to LYG: 7270\nKVX to SZE: 6357\nKVX to ESB: 2544\nKVX to YPL: 9264\nLYG to FEG: 4697\nLYG to BLL: 8026\nLYG to USM: 3443\nLYG to SZE: 9035\nLYG to ESB: 7476\nLYG to YPL: 11682\nSZE to FEG: 5282\nSZE to BLL: 6155\nSZE to USM: 7561\nSZE to ESB: 3895\nSZE to YPL: 13098\nBLL to FEG: 4780\nBLL to USM: 9321\nBLL to ESB: 2542\nBLL to YPL: 7395\nESB to FEG: 3290\nESB to USM: 7636\nESB to YPL: 9784\nUSM to FEG: 5012\nUSM to YPL: 15083\nYPL to FEG: 11743\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJA, MUA, KVD, DEF, LDH, LNE, ATA, KIN, PKA\n- Travel distances (in kilometers) between each pair of airports:\nPJA to PKA: 11808\nPJA to KIN: 9705\nPJA to DEF: 5067\nPJA to MUA: 15542\nPJA to KVD: 3575\nPJA to LNE: 16512\nPJA to LDH: 16429\nPJA to ATA: 12793\nMUA to PKA: 12650\nMUA to KIN: 15835\nMUA to DEF: 13614\nMUA to KVD: 13474\nMUA to LNE: 1815\nMUA to LDH: 3193\nMUA to ATA: 16264\nKVD to PKA: 13909\nKVD to KIN: 11481\nKVD to DEF: 1716\nKVD to LNE: 14631\nKVD to LDH: 14055\nKVD to ATA: 14004\nDEF to PKA: 15408\nDEF to KIN: 12521\nDEF to LNE: 14771\nDEF to LDH: 13998\nDEF to ATA: 15044\nLDH to PKA: 13412\nLDH to KIN: 16724\nLDH to LNE: 2812\nLDH to ATA: 14887\nLNE to PKA: 11398\nLNE to KIN: 14583\nLNE to ATA: 14857\nATA to PKA: 11262\nATA to KIN: 3684\nKIN to PKA: 8052\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60224,
"style": "rule"
}
|
{
"exact_answer": 60224,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PJA\", \"id\": 0}, {\"name\": \"MUA\", \"id\": 1}, {\"name\": \"KVD\", \"id\": 2}, {\"name\": \"DEF\", \"id\": 3}, {\"name\": \"LDH\", \"id\": 4}, {\"name\": \"LNE\", \"id\": 5}, {\"name\": \"ATA\", \"id\": 6}, {\"name\": \"KIN\", \"id\": 7}, {\"name\": \"PKA\", \"id\": 8}], \"links\": [{\"weight\": 11808, \"source\": 0, \"target\": 8}, {\"weight\": 9705, \"source\": 0, \"target\": 7}, {\"weight\": 5067, \"source\": 0, \"target\": 3}, {\"weight\": 15542, \"source\": 0, \"target\": 1}, {\"weight\": 3575, \"source\": 0, \"target\": 2}, {\"weight\": 16512, \"source\": 0, \"target\": 5}, {\"weight\": 16429, \"source\": 0, \"target\": 4}, {\"weight\": 12793, \"source\": 0, \"target\": 6}, {\"weight\": 12650, \"source\": 1, \"target\": 8}, {\"weight\": 15835, \"source\": 1, \"target\": 7}, {\"weight\": 13614, \"source\": 1, \"target\": 3}, {\"weight\": 13474, \"source\": 1, \"target\": 2}, {\"weight\": 1815, \"source\": 1, \"target\": 5}, {\"weight\": 3193, \"source\": 1, \"target\": 4}, {\"weight\": 16264, \"source\": 1, \"target\": 6}, {\"weight\": 13909, \"source\": 2, \"target\": 8}, {\"weight\": 11481, \"source\": 2, \"target\": 7}, {\"weight\": 1716, \"source\": 2, \"target\": 3}, {\"weight\": 14631, \"source\": 2, \"target\": 5}, {\"weight\": 14055, \"source\": 2, \"target\": 4}, {\"weight\": 14004, \"source\": 2, \"target\": 6}, {\"weight\": 15408, \"source\": 3, \"target\": 8}, {\"weight\": 12521, \"source\": 3, \"target\": 7}, {\"weight\": 14771, \"source\": 3, \"target\": 5}, {\"weight\": 13998, \"source\": 3, \"target\": 4}, {\"weight\": 15044, \"source\": 3, \"target\": 6}, {\"weight\": 13412, \"source\": 4, \"target\": 8}, {\"weight\": 16724, \"source\": 4, \"target\": 7}, {\"weight\": 2812, \"source\": 4, \"target\": 5}, {\"weight\": 14887, \"source\": 4, \"target\": 6}, {\"weight\": 11398, \"source\": 5, \"target\": 8}, {\"weight\": 14583, \"source\": 5, \"target\": 7}, {\"weight\": 14857, \"source\": 5, \"target\": 6}, {\"weight\": 11262, \"source\": 6, \"target\": 8}, {\"weight\": 3684, \"source\": 6, \"target\": 7}, {\"weight\": 8052, \"source\": 7, \"target\": 8}]}",
"id": 141,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJA, MUA, KVD, DEF, LDH, LNE, ATA, KIN, PKA\n- Travel distances (in kilometers) between each pair of airports:\nPJA to PKA: 11808\nPJA to KIN: 9705\nPJA to DEF: 5067\nPJA to MUA: 15542\nPJA to KVD: 3575\nPJA to LNE: 16512\nPJA to LDH: 16429\nPJA to ATA: 12793\nMUA to PKA: 12650\nMUA to KIN: 15835\nMUA to DEF: 13614\nMUA to KVD: 13474\nMUA to LNE: 1815\nMUA to LDH: 3193\nMUA to ATA: 16264\nKVD to PKA: 13909\nKVD to KIN: 11481\nKVD to DEF: 1716\nKVD to LNE: 14631\nKVD to LDH: 14055\nKVD to ATA: 14004\nDEF to PKA: 15408\nDEF to KIN: 12521\nDEF to LNE: 14771\nDEF to LDH: 13998\nDEF to ATA: 15044\nLDH to PKA: 13412\nLDH to KIN: 16724\nLDH to LNE: 2812\nLDH to ATA: 14887\nLNE to PKA: 11398\nLNE to KIN: 14583\nLNE to ATA: 14857\nATA to PKA: 11262\nATA to KIN: 3684\nKIN to PKA: 8052\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WRE, ATL, GEL, PAP, IBR, KCT, GCK, GRK, SXR\n- Travel distances (in kilometers) between each pair of airports:\nWRE to ATL: 13753\nWRE to SXR: 13285\nWRE to PAP: 15537\nWRE to IBR: 9675\nWRE to GCK: 13262\nWRE to GRK: 12827\nWRE to GEL: 12137\nWRE to KCT: 11277\nATL to GRK: 1289\nATL to PAP: 2062\nATL to SXR: 12882\nATL to IBR: 11700\nATL to GCK: 1825\nATL to GEL: 8240\nATL to KCT: 15384\nGEL to SXR: 15655\nGEL to PAP: 6781\nGEL to IBR: 19854\nGEL to GCK: 9496\nGEL to GRK: 8757\nGEL to KCT: 15554\nPAP to SXR: 13846\nPAP to IBR: 13753\nPAP to GCK: 3601\nPAP to GRK: 2963\nPAP to KCT: 16015\nIBR to SXR: 6623\nIBR to GCK: 11667\nIBR to GRK: 11232\nIBR to KCT: 7046\nKCT to SXR: 3177\nKCT to GCK: 16498\nKCT to GRK: 16063\nGCK to SXR: 14255\nGCK to GRK: 867\nGRK to SXR: 13820\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55880,
"style": "rule"
}
|
{
"exact_answer": 55880,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WRE\", \"id\": 0}, {\"name\": \"ATL\", \"id\": 1}, {\"name\": \"GEL\", \"id\": 2}, {\"name\": \"PAP\", \"id\": 3}, {\"name\": \"IBR\", \"id\": 4}, {\"name\": \"KCT\", \"id\": 5}, {\"name\": \"GCK\", \"id\": 6}, {\"name\": \"GRK\", \"id\": 7}, {\"name\": \"SXR\", \"id\": 8}], \"links\": [{\"weight\": 13753, \"source\": 0, \"target\": 1}, {\"weight\": 13285, \"source\": 0, \"target\": 8}, {\"weight\": 15537, \"source\": 0, \"target\": 3}, {\"weight\": 9675, \"source\": 0, \"target\": 4}, {\"weight\": 13262, \"source\": 0, \"target\": 6}, {\"weight\": 12827, \"source\": 0, \"target\": 7}, {\"weight\": 12137, \"source\": 0, \"target\": 2}, {\"weight\": 11277, \"source\": 0, \"target\": 5}, {\"weight\": 1289, \"source\": 1, \"target\": 7}, {\"weight\": 2062, \"source\": 1, \"target\": 3}, {\"weight\": 12882, \"source\": 1, \"target\": 8}, {\"weight\": 11700, \"source\": 1, \"target\": 4}, {\"weight\": 1825, \"source\": 1, \"target\": 6}, {\"weight\": 8240, \"source\": 1, \"target\": 2}, {\"weight\": 15384, \"source\": 1, \"target\": 5}, {\"weight\": 15655, \"source\": 2, \"target\": 8}, {\"weight\": 6781, \"source\": 2, \"target\": 3}, {\"weight\": 19854, \"source\": 2, \"target\": 4}, {\"weight\": 9496, \"source\": 2, \"target\": 6}, {\"weight\": 8757, \"source\": 2, \"target\": 7}, {\"weight\": 15554, \"source\": 2, \"target\": 5}, {\"weight\": 13846, \"source\": 3, \"target\": 8}, {\"weight\": 13753, \"source\": 3, \"target\": 4}, {\"weight\": 3601, \"source\": 3, \"target\": 6}, {\"weight\": 2963, \"source\": 3, \"target\": 7}, {\"weight\": 16015, \"source\": 3, \"target\": 5}, {\"weight\": 6623, \"source\": 4, \"target\": 8}, {\"weight\": 11667, \"source\": 4, \"target\": 6}, {\"weight\": 11232, \"source\": 4, \"target\": 7}, {\"weight\": 7046, \"source\": 4, \"target\": 5}, {\"weight\": 3177, \"source\": 5, \"target\": 8}, {\"weight\": 16498, \"source\": 5, \"target\": 6}, {\"weight\": 16063, \"source\": 5, \"target\": 7}, {\"weight\": 14255, \"source\": 6, \"target\": 8}, {\"weight\": 867, \"source\": 6, \"target\": 7}, {\"weight\": 13820, \"source\": 7, \"target\": 8}]}",
"id": 142,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WRE, ATL, GEL, PAP, IBR, KCT, GCK, GRK, SXR\n- Travel distances (in kilometers) between each pair of airports:\nWRE to ATL: 13753\nWRE to SXR: 13285\nWRE to PAP: 15537\nWRE to IBR: 9675\nWRE to GCK: 13262\nWRE to GRK: 12827\nWRE to GEL: 12137\nWRE to KCT: 11277\nATL to GRK: 1289\nATL to PAP: 2062\nATL to SXR: 12882\nATL to IBR: 11700\nATL to GCK: 1825\nATL to GEL: 8240\nATL to KCT: 15384\nGEL to SXR: 15655\nGEL to PAP: 6781\nGEL to IBR: 19854\nGEL to GCK: 9496\nGEL to GRK: 8757\nGEL to KCT: 15554\nPAP to SXR: 13846\nPAP to IBR: 13753\nPAP to GCK: 3601\nPAP to GRK: 2963\nPAP to KCT: 16015\nIBR to SXR: 6623\nIBR to GCK: 11667\nIBR to GRK: 11232\nIBR to KCT: 7046\nKCT to SXR: 3177\nKCT to GCK: 16498\nKCT to GRK: 16063\nGCK to SXR: 14255\nGCK to GRK: 867\nGRK to SXR: 13820\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CWB, YWJ, SIC, PDG, ITO, YAC, AOG, BCV, NJF\n- Travel distances (in kilometers) between each pair of airports:\nCWB to SIC: 6533\nCWB to BCV: 6903\nCWB to PDG: 16731\nCWB to AOG: 18474\nCWB to NJF: 11901\nCWB to ITO: 14001\nCWB to YWJ: 12206\nCWB to YAC: 9911\nYWJ to SIC: 7652\nYWJ to BCV: 6146\nYWJ to PDG: 15574\nYWJ to AOG: 11395\nYWJ to NJF: 12331\nYWJ to ITO: 6858\nYWJ to YAC: 3307\nSIC to BCV: 1639\nSIC to PDG: 19503\nSIC to AOG: 15219\nSIC to NJF: 13486\nSIC to ITO: 8938\nSIC to YAC: 5748\nPDG to BCV: 17994\nPDG to AOG: 5328\nPDG to NJF: 7261\nPDG to ITO: 11781\nPDG to YAC: 15536\nITO to BCV: 7496\nITO to AOG: 9019\nITO to NJF: 14856\nITO to YAC: 6926\nYAC to BCV: 4391\nYAC to AOG: 11463\nYAC to NJF: 11268\nAOG to BCV: 13710\nAOG to NJF: 6917\nBCV to NJF: 12608\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56237,
"style": "rule"
}
|
{
"exact_answer": 56237,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CWB\", \"id\": 0}, {\"name\": \"YWJ\", \"id\": 1}, {\"name\": \"SIC\", \"id\": 2}, {\"name\": \"PDG\", \"id\": 3}, {\"name\": \"ITO\", \"id\": 4}, {\"name\": \"YAC\", \"id\": 5}, {\"name\": \"AOG\", \"id\": 6}, {\"name\": \"BCV\", \"id\": 7}, {\"name\": \"NJF\", \"id\": 8}], \"links\": [{\"weight\": 6533, \"source\": 0, \"target\": 2}, {\"weight\": 6903, \"source\": 0, \"target\": 7}, {\"weight\": 16731, \"source\": 0, \"target\": 3}, {\"weight\": 18474, \"source\": 0, \"target\": 6}, {\"weight\": 11901, \"source\": 0, \"target\": 8}, {\"weight\": 14001, \"source\": 0, \"target\": 4}, {\"weight\": 12206, \"source\": 0, \"target\": 1}, {\"weight\": 9911, \"source\": 0, \"target\": 5}, {\"weight\": 7652, \"source\": 1, \"target\": 2}, {\"weight\": 6146, \"source\": 1, \"target\": 7}, {\"weight\": 15574, \"source\": 1, \"target\": 3}, {\"weight\": 11395, \"source\": 1, \"target\": 6}, {\"weight\": 12331, \"source\": 1, \"target\": 8}, {\"weight\": 6858, \"source\": 1, \"target\": 4}, {\"weight\": 3307, \"source\": 1, \"target\": 5}, {\"weight\": 1639, \"source\": 2, \"target\": 7}, {\"weight\": 19503, \"source\": 2, \"target\": 3}, {\"weight\": 15219, \"source\": 2, \"target\": 6}, {\"weight\": 13486, \"source\": 2, \"target\": 8}, {\"weight\": 8938, \"source\": 2, \"target\": 4}, {\"weight\": 5748, \"source\": 2, \"target\": 5}, {\"weight\": 17994, \"source\": 3, \"target\": 7}, {\"weight\": 5328, \"source\": 3, \"target\": 6}, {\"weight\": 7261, \"source\": 3, \"target\": 8}, {\"weight\": 11781, \"source\": 3, \"target\": 4}, {\"weight\": 15536, \"source\": 3, \"target\": 5}, {\"weight\": 7496, \"source\": 4, \"target\": 7}, {\"weight\": 9019, \"source\": 4, \"target\": 6}, {\"weight\": 14856, \"source\": 4, \"target\": 8}, {\"weight\": 6926, \"source\": 4, \"target\": 5}, {\"weight\": 4391, \"source\": 5, \"target\": 7}, {\"weight\": 11463, \"source\": 5, \"target\": 6}, {\"weight\": 11268, \"source\": 5, \"target\": 8}, {\"weight\": 13710, \"source\": 6, \"target\": 7}, {\"weight\": 6917, \"source\": 6, \"target\": 8}, {\"weight\": 12608, \"source\": 7, \"target\": 8}]}",
"id": 143,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CWB, YWJ, SIC, PDG, ITO, YAC, AOG, BCV, NJF\n- Travel distances (in kilometers) between each pair of airports:\nCWB to SIC: 6533\nCWB to BCV: 6903\nCWB to PDG: 16731\nCWB to AOG: 18474\nCWB to NJF: 11901\nCWB to ITO: 14001\nCWB to YWJ: 12206\nCWB to YAC: 9911\nYWJ to SIC: 7652\nYWJ to BCV: 6146\nYWJ to PDG: 15574\nYWJ to AOG: 11395\nYWJ to NJF: 12331\nYWJ to ITO: 6858\nYWJ to YAC: 3307\nSIC to BCV: 1639\nSIC to PDG: 19503\nSIC to AOG: 15219\nSIC to NJF: 13486\nSIC to ITO: 8938\nSIC to YAC: 5748\nPDG to BCV: 17994\nPDG to AOG: 5328\nPDG to NJF: 7261\nPDG to ITO: 11781\nPDG to YAC: 15536\nITO to BCV: 7496\nITO to AOG: 9019\nITO to NJF: 14856\nITO to YAC: 6926\nYAC to BCV: 4391\nYAC to AOG: 11463\nYAC to NJF: 11268\nAOG to BCV: 13710\nAOG to NJF: 6917\nBCV to NJF: 12608\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: THU, AES, WXN, DIG, ISC, OMR, KSE, KHD, WDH\n- Travel distances (in kilometers) between each pair of airports:\nTHU to WXN: 12396\nTHU to DIG: 12713\nTHU to KSE: 11661\nTHU to AES: 4889\nTHU to OMR: 6833\nTHU to WDH: 13454\nTHU to ISC: 5279\nTHU to KHD: 9289\nAES to WXN: 7944\nAES to DIG: 8278\nAES to KSE: 7649\nAES to OMR: 2798\nAES to WDH: 9526\nAES to ISC: 1633\nAES to KHD: 5109\nWXN to DIG: 944\nWXN to KSE: 9102\nWXN to OMR: 8087\nWXN to WDH: 11545\nWXN to ISC: 9101\nWXN to KHD: 6064\nDIG to KSE: 8287\nDIG to OMR: 7621\nDIG to WDH: 10781\nDIG to ISC: 9273\nDIG to KHD: 5249\nISC to KSE: 7282\nISC to OMR: 2956\nISC to WDH: 8777\nISC to KHD: 5345\nOMR to KSE: 5698\nOMR to WDH: 8216\nOMR to KHD: 3304\nKSE to WDH: 3995\nKSE to KHD: 5080\nKHD to WDH: 7936\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44337,
"style": "rule"
}
|
{
"exact_answer": 44337,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"THU\", \"id\": 0}, {\"name\": \"AES\", \"id\": 1}, {\"name\": \"WXN\", \"id\": 2}, {\"name\": \"DIG\", \"id\": 3}, {\"name\": \"ISC\", \"id\": 4}, {\"name\": \"OMR\", \"id\": 5}, {\"name\": \"KSE\", \"id\": 6}, {\"name\": \"KHD\", \"id\": 7}, {\"name\": \"WDH\", \"id\": 8}], \"links\": [{\"weight\": 12396, \"source\": 0, \"target\": 2}, {\"weight\": 12713, \"source\": 0, \"target\": 3}, {\"weight\": 11661, \"source\": 0, \"target\": 6}, {\"weight\": 4889, \"source\": 0, \"target\": 1}, {\"weight\": 6833, \"source\": 0, \"target\": 5}, {\"weight\": 13454, \"source\": 0, \"target\": 8}, {\"weight\": 5279, \"source\": 0, \"target\": 4}, {\"weight\": 9289, \"source\": 0, \"target\": 7}, {\"weight\": 7944, \"source\": 1, \"target\": 2}, {\"weight\": 8278, \"source\": 1, \"target\": 3}, {\"weight\": 7649, \"source\": 1, \"target\": 6}, {\"weight\": 2798, \"source\": 1, \"target\": 5}, {\"weight\": 9526, \"source\": 1, \"target\": 8}, {\"weight\": 1633, \"source\": 1, \"target\": 4}, {\"weight\": 5109, \"source\": 1, \"target\": 7}, {\"weight\": 944, \"source\": 2, \"target\": 3}, {\"weight\": 9102, \"source\": 2, \"target\": 6}, {\"weight\": 8087, \"source\": 2, \"target\": 5}, {\"weight\": 11545, \"source\": 2, \"target\": 8}, {\"weight\": 9101, \"source\": 2, \"target\": 4}, {\"weight\": 6064, \"source\": 2, \"target\": 7}, {\"weight\": 8287, \"source\": 3, \"target\": 6}, {\"weight\": 7621, \"source\": 3, \"target\": 5}, {\"weight\": 10781, \"source\": 3, \"target\": 8}, {\"weight\": 9273, \"source\": 3, \"target\": 4}, {\"weight\": 5249, \"source\": 3, \"target\": 7}, {\"weight\": 7282, \"source\": 4, \"target\": 6}, {\"weight\": 2956, \"source\": 4, \"target\": 5}, {\"weight\": 8777, \"source\": 4, \"target\": 8}, {\"weight\": 5345, \"source\": 4, \"target\": 7}, {\"weight\": 5698, \"source\": 5, \"target\": 6}, {\"weight\": 8216, \"source\": 5, \"target\": 8}, {\"weight\": 3304, \"source\": 5, \"target\": 7}, {\"weight\": 3995, \"source\": 6, \"target\": 8}, {\"weight\": 5080, \"source\": 6, \"target\": 7}, {\"weight\": 7936, \"source\": 7, \"target\": 8}]}",
"id": 144,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: THU, AES, WXN, DIG, ISC, OMR, KSE, KHD, WDH\n- Travel distances (in kilometers) between each pair of airports:\nTHU to WXN: 12396\nTHU to DIG: 12713\nTHU to KSE: 11661\nTHU to AES: 4889\nTHU to OMR: 6833\nTHU to WDH: 13454\nTHU to ISC: 5279\nTHU to KHD: 9289\nAES to WXN: 7944\nAES to DIG: 8278\nAES to KSE: 7649\nAES to OMR: 2798\nAES to WDH: 9526\nAES to ISC: 1633\nAES to KHD: 5109\nWXN to DIG: 944\nWXN to KSE: 9102\nWXN to OMR: 8087\nWXN to WDH: 11545\nWXN to ISC: 9101\nWXN to KHD: 6064\nDIG to KSE: 8287\nDIG to OMR: 7621\nDIG to WDH: 10781\nDIG to ISC: 9273\nDIG to KHD: 5249\nISC to KSE: 7282\nISC to OMR: 2956\nISC to WDH: 8777\nISC to KHD: 5345\nOMR to KSE: 5698\nOMR to WDH: 8216\nOMR to KHD: 3304\nKSE to WDH: 3995\nKSE to KHD: 5080\nKHD to WDH: 7936\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URJ, FKI, SZG, KGD, JUJ, AZO, CYF, WIN, BZE\n- Travel distances (in kilometers) between each pair of airports:\nURJ to KGD: 2943\nURJ to SZG: 3798\nURJ to CYF: 13902\nURJ to BZE: 12061\nURJ to AZO: 9670\nURJ to JUJ: 16382\nURJ to FKI: 9786\nURJ to WIN: 12121\nFKI to KGD: 8355\nFKI to SZG: 7885\nFKI to CYF: 17969\nFKI to BZE: 13668\nFKI to AZO: 12483\nFKI to JUJ: 11040\nFKI to WIN: 16540\nSZG to KGD: 1075\nSZG to CYF: 11720\nSZG to BZE: 9405\nSZG to AZO: 7268\nSZG to JUJ: 12669\nSZG to WIN: 15348\nKGD to CYF: 11841\nKGD to BZE: 9770\nKGD to AZO: 7609\nKGD to JUJ: 13502\nKGD to WIN: 14569\nJUJ to CYF: 14396\nJUJ to BZE: 6827\nJUJ to AZO: 9286\nJUJ to WIN: 14540\nAZO to CYF: 5516\nAZO to BZE: 2792\nAZO to WIN: 15690\nCYF to BZE: 7597\nCYF to WIN: 13976\nWIN to BZE: 16195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64175,
"style": "rule"
}
|
{
"exact_answer": 64175,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"URJ\", \"id\": 0}, {\"name\": \"FKI\", \"id\": 1}, {\"name\": \"SZG\", \"id\": 2}, {\"name\": \"KGD\", \"id\": 3}, {\"name\": \"JUJ\", \"id\": 4}, {\"name\": \"AZO\", \"id\": 5}, {\"name\": \"CYF\", \"id\": 6}, {\"name\": \"WIN\", \"id\": 7}, {\"name\": \"BZE\", \"id\": 8}], \"links\": [{\"weight\": 2943, \"source\": 0, \"target\": 3}, {\"weight\": 3798, \"source\": 0, \"target\": 2}, {\"weight\": 13902, \"source\": 0, \"target\": 6}, {\"weight\": 12061, \"source\": 0, \"target\": 8}, {\"weight\": 9670, \"source\": 0, \"target\": 5}, {\"weight\": 16382, \"source\": 0, \"target\": 4}, {\"weight\": 9786, \"source\": 0, \"target\": 1}, {\"weight\": 12121, \"source\": 0, \"target\": 7}, {\"weight\": 8355, \"source\": 1, \"target\": 3}, {\"weight\": 7885, \"source\": 1, \"target\": 2}, {\"weight\": 17969, \"source\": 1, \"target\": 6}, {\"weight\": 13668, \"source\": 1, \"target\": 8}, {\"weight\": 12483, \"source\": 1, \"target\": 5}, {\"weight\": 11040, \"source\": 1, \"target\": 4}, {\"weight\": 16540, \"source\": 1, \"target\": 7}, {\"weight\": 1075, \"source\": 2, \"target\": 3}, {\"weight\": 11720, \"source\": 2, \"target\": 6}, {\"weight\": 9405, \"source\": 2, \"target\": 8}, {\"weight\": 7268, \"source\": 2, \"target\": 5}, {\"weight\": 12669, \"source\": 2, \"target\": 4}, {\"weight\": 15348, \"source\": 2, \"target\": 7}, {\"weight\": 11841, \"source\": 3, \"target\": 6}, {\"weight\": 9770, \"source\": 3, \"target\": 8}, {\"weight\": 7609, \"source\": 3, \"target\": 5}, {\"weight\": 13502, \"source\": 3, \"target\": 4}, {\"weight\": 14569, \"source\": 3, \"target\": 7}, {\"weight\": 14396, \"source\": 4, \"target\": 6}, {\"weight\": 6827, \"source\": 4, \"target\": 8}, {\"weight\": 9286, \"source\": 4, \"target\": 5}, {\"weight\": 14540, \"source\": 4, \"target\": 7}, {\"weight\": 5516, \"source\": 5, \"target\": 6}, {\"weight\": 2792, \"source\": 5, \"target\": 8}, {\"weight\": 15690, \"source\": 5, \"target\": 7}, {\"weight\": 7597, \"source\": 6, \"target\": 8}, {\"weight\": 13976, \"source\": 6, \"target\": 7}, {\"weight\": 16195, \"source\": 7, \"target\": 8}]}",
"id": 145,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URJ, FKI, SZG, KGD, JUJ, AZO, CYF, WIN, BZE\n- Travel distances (in kilometers) between each pair of airports:\nURJ to KGD: 2943\nURJ to SZG: 3798\nURJ to CYF: 13902\nURJ to BZE: 12061\nURJ to AZO: 9670\nURJ to JUJ: 16382\nURJ to FKI: 9786\nURJ to WIN: 12121\nFKI to KGD: 8355\nFKI to SZG: 7885\nFKI to CYF: 17969\nFKI to BZE: 13668\nFKI to AZO: 12483\nFKI to JUJ: 11040\nFKI to WIN: 16540\nSZG to KGD: 1075\nSZG to CYF: 11720\nSZG to BZE: 9405\nSZG to AZO: 7268\nSZG to JUJ: 12669\nSZG to WIN: 15348\nKGD to CYF: 11841\nKGD to BZE: 9770\nKGD to AZO: 7609\nKGD to JUJ: 13502\nKGD to WIN: 14569\nJUJ to CYF: 14396\nJUJ to BZE: 6827\nJUJ to AZO: 9286\nJUJ to WIN: 14540\nAZO to CYF: 5516\nAZO to BZE: 2792\nAZO to WIN: 15690\nCYF to BZE: 7597\nCYF to WIN: 13976\nWIN to BZE: 16195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LXS, MHK, MLX, ATM, TTE, FKL, PKZ, UDI, ABI\n- Travel distances (in kilometers) between each pair of airports:\nLXS to UDI: 10374\nLXS to MLX: 1545\nLXS to ABI: 10252\nLXS to MHK: 9514\nLXS to ATM: 9950\nLXS to TTE: 11934\nLXS to PKZ: 8801\nLXS to FKL: 8551\nMHK to UDI: 8640\nMHK to MLX: 10424\nMHK to ABI: 948\nMHK to ATM: 7257\nMHK to TTE: 17146\nMHK to PKZ: 14659\nMHK to FKL: 1475\nMLX to UDI: 11435\nMLX to ABI: 11163\nMLX to ATM: 11011\nMLX to TTE: 11395\nMLX to PKZ: 8262\nMLX to FKL: 9477\nATM to UDI: 2414\nATM to ABI: 6815\nATM to TTE: 20980\nATM to PKZ: 18043\nATM to FKL: 6507\nTTE to UDI: 19243\nTTE to ABI: 16881\nTTE to PKZ: 4191\nTTE to FKL: 16795\nFKL to UDI: 7987\nFKL to ABI: 2059\nFKL to PKZ: 14258\nPKZ to UDI: 17549\nPKZ to ABI: 14857\nUDI to ABI: 8198\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52597,
"style": "rule"
}
|
{
"exact_answer": 52597,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LXS\", \"id\": 0}, {\"name\": \"MHK\", \"id\": 1}, {\"name\": \"MLX\", \"id\": 2}, {\"name\": \"ATM\", \"id\": 3}, {\"name\": \"TTE\", \"id\": 4}, {\"name\": \"FKL\", \"id\": 5}, {\"name\": \"PKZ\", \"id\": 6}, {\"name\": \"UDI\", \"id\": 7}, {\"name\": \"ABI\", \"id\": 8}], \"links\": [{\"weight\": 10374, \"source\": 0, \"target\": 7}, {\"weight\": 1545, \"source\": 0, \"target\": 2}, {\"weight\": 10252, \"source\": 0, \"target\": 8}, {\"weight\": 9514, \"source\": 0, \"target\": 1}, {\"weight\": 9950, \"source\": 0, \"target\": 3}, {\"weight\": 11934, \"source\": 0, \"target\": 4}, {\"weight\": 8801, \"source\": 0, \"target\": 6}, {\"weight\": 8551, \"source\": 0, \"target\": 5}, {\"weight\": 8640, \"source\": 1, \"target\": 7}, {\"weight\": 10424, \"source\": 1, \"target\": 2}, {\"weight\": 948, \"source\": 1, \"target\": 8}, {\"weight\": 7257, \"source\": 1, \"target\": 3}, {\"weight\": 17146, \"source\": 1, \"target\": 4}, {\"weight\": 14659, \"source\": 1, \"target\": 6}, {\"weight\": 1475, \"source\": 1, \"target\": 5}, {\"weight\": 11435, \"source\": 2, \"target\": 7}, {\"weight\": 11163, \"source\": 2, \"target\": 8}, {\"weight\": 11011, \"source\": 2, \"target\": 3}, {\"weight\": 11395, \"source\": 2, \"target\": 4}, {\"weight\": 8262, \"source\": 2, \"target\": 6}, {\"weight\": 9477, \"source\": 2, \"target\": 5}, {\"weight\": 2414, \"source\": 3, \"target\": 7}, {\"weight\": 6815, \"source\": 3, \"target\": 8}, {\"weight\": 20980, \"source\": 3, \"target\": 4}, {\"weight\": 18043, \"source\": 3, \"target\": 6}, {\"weight\": 6507, \"source\": 3, \"target\": 5}, {\"weight\": 19243, \"source\": 4, \"target\": 7}, {\"weight\": 16881, \"source\": 4, \"target\": 8}, {\"weight\": 4191, \"source\": 4, \"target\": 6}, {\"weight\": 16795, \"source\": 4, \"target\": 5}, {\"weight\": 7987, \"source\": 5, \"target\": 7}, {\"weight\": 2059, \"source\": 5, \"target\": 8}, {\"weight\": 14258, \"source\": 5, \"target\": 6}, {\"weight\": 17549, \"source\": 6, \"target\": 7}, {\"weight\": 14857, \"source\": 6, \"target\": 8}, {\"weight\": 8198, \"source\": 7, \"target\": 8}]}",
"id": 146,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LXS, MHK, MLX, ATM, TTE, FKL, PKZ, UDI, ABI\n- Travel distances (in kilometers) between each pair of airports:\nLXS to UDI: 10374\nLXS to MLX: 1545\nLXS to ABI: 10252\nLXS to MHK: 9514\nLXS to ATM: 9950\nLXS to TTE: 11934\nLXS to PKZ: 8801\nLXS to FKL: 8551\nMHK to UDI: 8640\nMHK to MLX: 10424\nMHK to ABI: 948\nMHK to ATM: 7257\nMHK to TTE: 17146\nMHK to PKZ: 14659\nMHK to FKL: 1475\nMLX to UDI: 11435\nMLX to ABI: 11163\nMLX to ATM: 11011\nMLX to TTE: 11395\nMLX to PKZ: 8262\nMLX to FKL: 9477\nATM to UDI: 2414\nATM to ABI: 6815\nATM to TTE: 20980\nATM to PKZ: 18043\nATM to FKL: 6507\nTTE to UDI: 19243\nTTE to ABI: 16881\nTTE to PKZ: 4191\nTTE to FKL: 16795\nFKL to UDI: 7987\nFKL to ABI: 2059\nFKL to PKZ: 14258\nPKZ to UDI: 17549\nPKZ to ABI: 14857\nUDI to ABI: 8198\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KCM, LIL, SOG, HTI, TMU, GOA, SGG, MHH, TQI\n- Travel distances (in kilometers) between each pair of airports:\nKCM to MHH: 10441\nKCM to TMU: 12097\nKCM to LIL: 3107\nKCM to GOA: 2470\nKCM to SGG: 6934\nKCM to TQI: 6899\nKCM to HTI: 14282\nKCM to SOG: 3484\nLIL to MHH: 8237\nLIL to TMU: 9324\nLIL to GOA: 1511\nLIL to SGG: 5044\nLIL to TQI: 5009\nLIL to HTI: 15782\nLIL to SOG: 1891\nSOG to MHH: 7680\nSOG to TMU: 9393\nSOG to GOA: 2028\nSOG to SGG: 3820\nSOG to TQI: 3785\nSOG to HTI: 14892\nHTI to MHH: 16301\nHTI to TMU: 16894\nHTI to GOA: 15576\nHTI to SGG: 18523\nHTI to TQI: 18488\nTMU to MHH: 2224\nTMU to GOA: 9723\nTMU to SGG: 9987\nTMU to TQI: 9952\nGOA to MHH: 8191\nGOA to SGG: 5121\nGOA to TQI: 5086\nSGG to MHH: 8247\nSGG to TQI: 95\nMHH to TQI: 8212\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51399,
"style": "rule"
}
|
{
"exact_answer": 51399,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KCM\", \"id\": 0}, {\"name\": \"LIL\", \"id\": 1}, {\"name\": \"SOG\", \"id\": 2}, {\"name\": \"HTI\", \"id\": 3}, {\"name\": \"TMU\", \"id\": 4}, {\"name\": \"GOA\", \"id\": 5}, {\"name\": \"SGG\", \"id\": 6}, {\"name\": \"MHH\", \"id\": 7}, {\"name\": \"TQI\", \"id\": 8}], \"links\": [{\"weight\": 10441, \"source\": 0, \"target\": 7}, {\"weight\": 12097, \"source\": 0, \"target\": 4}, {\"weight\": 3107, \"source\": 0, \"target\": 1}, {\"weight\": 2470, \"source\": 0, \"target\": 5}, {\"weight\": 6934, \"source\": 0, \"target\": 6}, {\"weight\": 6899, \"source\": 0, \"target\": 8}, {\"weight\": 14282, \"source\": 0, \"target\": 3}, {\"weight\": 3484, \"source\": 0, \"target\": 2}, {\"weight\": 8237, \"source\": 1, \"target\": 7}, {\"weight\": 9324, \"source\": 1, \"target\": 4}, {\"weight\": 1511, \"source\": 1, \"target\": 5}, {\"weight\": 5044, \"source\": 1, \"target\": 6}, {\"weight\": 5009, \"source\": 1, \"target\": 8}, {\"weight\": 15782, \"source\": 1, \"target\": 3}, {\"weight\": 1891, \"source\": 1, \"target\": 2}, {\"weight\": 7680, \"source\": 2, \"target\": 7}, {\"weight\": 9393, \"source\": 2, \"target\": 4}, {\"weight\": 2028, \"source\": 2, \"target\": 5}, {\"weight\": 3820, \"source\": 2, \"target\": 6}, {\"weight\": 3785, \"source\": 2, \"target\": 8}, {\"weight\": 14892, \"source\": 2, \"target\": 3}, {\"weight\": 16301, \"source\": 3, \"target\": 7}, {\"weight\": 16894, \"source\": 3, \"target\": 4}, {\"weight\": 15576, \"source\": 3, \"target\": 5}, {\"weight\": 18523, \"source\": 3, \"target\": 6}, {\"weight\": 18488, \"source\": 3, \"target\": 8}, {\"weight\": 2224, \"source\": 4, \"target\": 7}, {\"weight\": 9723, \"source\": 4, \"target\": 5}, {\"weight\": 9987, \"source\": 4, \"target\": 6}, {\"weight\": 9952, \"source\": 4, \"target\": 8}, {\"weight\": 8191, \"source\": 5, \"target\": 7}, {\"weight\": 5121, \"source\": 5, \"target\": 6}, {\"weight\": 5086, \"source\": 5, \"target\": 8}, {\"weight\": 8247, \"source\": 6, \"target\": 7}, {\"weight\": 95, \"source\": 6, \"target\": 8}, {\"weight\": 8212, \"source\": 7, \"target\": 8}]}",
"id": 147,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KCM, LIL, SOG, HTI, TMU, GOA, SGG, MHH, TQI\n- Travel distances (in kilometers) between each pair of airports:\nKCM to MHH: 10441\nKCM to TMU: 12097\nKCM to LIL: 3107\nKCM to GOA: 2470\nKCM to SGG: 6934\nKCM to TQI: 6899\nKCM to HTI: 14282\nKCM to SOG: 3484\nLIL to MHH: 8237\nLIL to TMU: 9324\nLIL to GOA: 1511\nLIL to SGG: 5044\nLIL to TQI: 5009\nLIL to HTI: 15782\nLIL to SOG: 1891\nSOG to MHH: 7680\nSOG to TMU: 9393\nSOG to GOA: 2028\nSOG to SGG: 3820\nSOG to TQI: 3785\nSOG to HTI: 14892\nHTI to MHH: 16301\nHTI to TMU: 16894\nHTI to GOA: 15576\nHTI to SGG: 18523\nHTI to TQI: 18488\nTMU to MHH: 2224\nTMU to GOA: 9723\nTMU to SGG: 9987\nTMU to TQI: 9952\nGOA to MHH: 8191\nGOA to SGG: 5121\nGOA to TQI: 5086\nSGG to MHH: 8247\nSGG to TQI: 95\nMHH to TQI: 8212\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VKO, AXT, YAG, SBH, THS, YIK, GYN, CIU, LGQ\n- Travel distances (in kilometers) between each pair of airports:\nVKO to GYN: 11330\nVKO to YIK: 8878\nVKO to SBH: 9109\nVKO to CIU: 8290\nVKO to LGQ: 11886\nVKO to AXT: 7616\nVKO to YAG: 8705\nVKO to THS: 7530\nAXT to GYN: 18513\nAXT to YIK: 12131\nAXT to SBH: 14421\nAXT to CIU: 11586\nAXT to LGQ: 15071\nAXT to YAG: 10222\nAXT to THS: 5291\nYAG to GYN: 8885\nYAG to YIK: 2576\nYAG to SBH: 4489\nYAG to CIU: 2015\nYAG to LGQ: 6273\nYAG to THS: 14426\nSBH to GYN: 4404\nSBH to YIK: 5182\nSBH to CIU: 3810\nSBH to LGQ: 2847\nSBH to THS: 16578\nTHS to GYN: 17512\nTHS to YIK: 16335\nTHS to CIU: 14827\nTHS to LGQ: 19248\nYIK to GYN: 9554\nYIK to CIU: 3046\nYIK to LGQ: 7231\nGYN to CIU: 8213\nGYN to LGQ: 5308\nCIU to LGQ: 5371\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51960,
"style": "rule"
}
|
{
"exact_answer": 51960,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VKO\", \"id\": 0}, {\"name\": \"AXT\", \"id\": 1}, {\"name\": \"YAG\", \"id\": 2}, {\"name\": \"SBH\", \"id\": 3}, {\"name\": \"THS\", \"id\": 4}, {\"name\": \"YIK\", \"id\": 5}, {\"name\": \"GYN\", \"id\": 6}, {\"name\": \"CIU\", \"id\": 7}, {\"name\": \"LGQ\", \"id\": 8}], \"links\": [{\"weight\": 11330, \"source\": 0, \"target\": 6}, {\"weight\": 8878, \"source\": 0, \"target\": 5}, {\"weight\": 9109, \"source\": 0, \"target\": 3}, {\"weight\": 8290, \"source\": 0, \"target\": 7}, {\"weight\": 11886, \"source\": 0, \"target\": 8}, {\"weight\": 7616, \"source\": 0, \"target\": 1}, {\"weight\": 8705, \"source\": 0, \"target\": 2}, {\"weight\": 7530, \"source\": 0, \"target\": 4}, {\"weight\": 18513, \"source\": 1, \"target\": 6}, {\"weight\": 12131, \"source\": 1, \"target\": 5}, {\"weight\": 14421, \"source\": 1, \"target\": 3}, {\"weight\": 11586, \"source\": 1, \"target\": 7}, {\"weight\": 15071, \"source\": 1, \"target\": 8}, {\"weight\": 10222, \"source\": 1, \"target\": 2}, {\"weight\": 5291, \"source\": 1, \"target\": 4}, {\"weight\": 8885, \"source\": 2, \"target\": 6}, {\"weight\": 2576, \"source\": 2, \"target\": 5}, {\"weight\": 4489, \"source\": 2, \"target\": 3}, {\"weight\": 2015, \"source\": 2, \"target\": 7}, {\"weight\": 6273, \"source\": 2, \"target\": 8}, {\"weight\": 14426, \"source\": 2, \"target\": 4}, {\"weight\": 4404, \"source\": 3, \"target\": 6}, {\"weight\": 5182, \"source\": 3, \"target\": 5}, {\"weight\": 3810, \"source\": 3, \"target\": 7}, {\"weight\": 2847, \"source\": 3, \"target\": 8}, {\"weight\": 16578, \"source\": 3, \"target\": 4}, {\"weight\": 17512, \"source\": 4, \"target\": 6}, {\"weight\": 16335, \"source\": 4, \"target\": 5}, {\"weight\": 14827, \"source\": 4, \"target\": 7}, {\"weight\": 19248, \"source\": 4, \"target\": 8}, {\"weight\": 9554, \"source\": 5, \"target\": 6}, {\"weight\": 3046, \"source\": 5, \"target\": 7}, {\"weight\": 7231, \"source\": 5, \"target\": 8}, {\"weight\": 8213, \"source\": 6, \"target\": 7}, {\"weight\": 5308, \"source\": 6, \"target\": 8}, {\"weight\": 5371, \"source\": 7, \"target\": 8}]}",
"id": 148,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VKO, AXT, YAG, SBH, THS, YIK, GYN, CIU, LGQ\n- Travel distances (in kilometers) between each pair of airports:\nVKO to GYN: 11330\nVKO to YIK: 8878\nVKO to SBH: 9109\nVKO to CIU: 8290\nVKO to LGQ: 11886\nVKO to AXT: 7616\nVKO to YAG: 8705\nVKO to THS: 7530\nAXT to GYN: 18513\nAXT to YIK: 12131\nAXT to SBH: 14421\nAXT to CIU: 11586\nAXT to LGQ: 15071\nAXT to YAG: 10222\nAXT to THS: 5291\nYAG to GYN: 8885\nYAG to YIK: 2576\nYAG to SBH: 4489\nYAG to CIU: 2015\nYAG to LGQ: 6273\nYAG to THS: 14426\nSBH to GYN: 4404\nSBH to YIK: 5182\nSBH to CIU: 3810\nSBH to LGQ: 2847\nSBH to THS: 16578\nTHS to GYN: 17512\nTHS to YIK: 16335\nTHS to CIU: 14827\nTHS to LGQ: 19248\nYIK to GYN: 9554\nYIK to CIU: 3046\nYIK to LGQ: 7231\nGYN to CIU: 8213\nGYN to LGQ: 5308\nCIU to LGQ: 5371\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EUG, EMD, RBR, PSP, EDA, AJL, TAP, HKB, AHE\n- Travel distances (in kilometers) between each pair of airports:\nEUG to AJL: 13105\nEUG to PSP: 1380\nEUG to RBR: 9440\nEUG to TAP: 4430\nEUG to EDA: 1606\nEUG to HKB: 2954\nEUG to EMD: 12561\nEUG to AHE: 8315\nEMD to AJL: 9881\nEMD to PSP: 12360\nEMD to RBR: 17894\nEMD to TAP: 15563\nEMD to EDA: 13741\nEMD to HKB: 13213\nEMD to AHE: 7233\nRBR to AJL: 18353\nRBR to PSP: 8549\nRBR to TAP: 5304\nRBR to EDA: 10702\nRBR to HKB: 12050\nRBR to AHE: 13794\nPSP to AJL: 14220\nPSP to TAP: 3313\nPSP to EDA: 2820\nPSP to HKB: 4168\nPSP to AHE: 7285\nEDA to AJL: 13959\nEDA to TAP: 5906\nEDA to HKB: 1964\nEDA to AHE: 9876\nAJL to TAP: 17005\nAJL to HKB: 15307\nAJL to AHE: 15657\nTAP to HKB: 7254\nTAP to AHE: 10488\nHKB to AHE: 9924\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58958,
"style": "rule"
}
|
{
"exact_answer": 58958,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EUG\", \"id\": 0}, {\"name\": \"EMD\", \"id\": 1}, {\"name\": \"RBR\", \"id\": 2}, {\"name\": \"PSP\", \"id\": 3}, {\"name\": \"EDA\", \"id\": 4}, {\"name\": \"AJL\", \"id\": 5}, {\"name\": \"TAP\", \"id\": 6}, {\"name\": \"HKB\", \"id\": 7}, {\"name\": \"AHE\", \"id\": 8}], \"links\": [{\"weight\": 13105, \"source\": 0, \"target\": 5}, {\"weight\": 1380, \"source\": 0, \"target\": 3}, {\"weight\": 9440, \"source\": 0, \"target\": 2}, {\"weight\": 4430, \"source\": 0, \"target\": 6}, {\"weight\": 1606, \"source\": 0, \"target\": 4}, {\"weight\": 2954, \"source\": 0, \"target\": 7}, {\"weight\": 12561, \"source\": 0, \"target\": 1}, {\"weight\": 8315, \"source\": 0, \"target\": 8}, {\"weight\": 9881, \"source\": 1, \"target\": 5}, {\"weight\": 12360, \"source\": 1, \"target\": 3}, {\"weight\": 17894, \"source\": 1, \"target\": 2}, {\"weight\": 15563, \"source\": 1, \"target\": 6}, {\"weight\": 13741, \"source\": 1, \"target\": 4}, {\"weight\": 13213, \"source\": 1, \"target\": 7}, {\"weight\": 7233, \"source\": 1, \"target\": 8}, {\"weight\": 18353, \"source\": 2, \"target\": 5}, {\"weight\": 8549, \"source\": 2, \"target\": 3}, {\"weight\": 5304, \"source\": 2, \"target\": 6}, {\"weight\": 10702, \"source\": 2, \"target\": 4}, {\"weight\": 12050, \"source\": 2, \"target\": 7}, {\"weight\": 13794, \"source\": 2, \"target\": 8}, {\"weight\": 14220, \"source\": 3, \"target\": 5}, {\"weight\": 3313, \"source\": 3, \"target\": 6}, {\"weight\": 2820, \"source\": 3, \"target\": 4}, {\"weight\": 4168, \"source\": 3, \"target\": 7}, {\"weight\": 7285, \"source\": 3, \"target\": 8}, {\"weight\": 13959, \"source\": 4, \"target\": 5}, {\"weight\": 5906, \"source\": 4, \"target\": 6}, {\"weight\": 1964, \"source\": 4, \"target\": 7}, {\"weight\": 9876, \"source\": 4, \"target\": 8}, {\"weight\": 17005, \"source\": 5, \"target\": 6}, {\"weight\": 15307, \"source\": 5, \"target\": 7}, {\"weight\": 15657, \"source\": 5, \"target\": 8}, {\"weight\": 7254, \"source\": 6, \"target\": 7}, {\"weight\": 10488, \"source\": 6, \"target\": 8}, {\"weight\": 9924, \"source\": 7, \"target\": 8}]}",
"id": 149,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EUG, EMD, RBR, PSP, EDA, AJL, TAP, HKB, AHE\n- Travel distances (in kilometers) between each pair of airports:\nEUG to AJL: 13105\nEUG to PSP: 1380\nEUG to RBR: 9440\nEUG to TAP: 4430\nEUG to EDA: 1606\nEUG to HKB: 2954\nEUG to EMD: 12561\nEUG to AHE: 8315\nEMD to AJL: 9881\nEMD to PSP: 12360\nEMD to RBR: 17894\nEMD to TAP: 15563\nEMD to EDA: 13741\nEMD to HKB: 13213\nEMD to AHE: 7233\nRBR to AJL: 18353\nRBR to PSP: 8549\nRBR to TAP: 5304\nRBR to EDA: 10702\nRBR to HKB: 12050\nRBR to AHE: 13794\nPSP to AJL: 14220\nPSP to TAP: 3313\nPSP to EDA: 2820\nPSP to HKB: 4168\nPSP to AHE: 7285\nEDA to AJL: 13959\nEDA to TAP: 5906\nEDA to HKB: 1964\nEDA to AHE: 9876\nAJL to TAP: 17005\nAJL to HKB: 15307\nAJL to AHE: 15657\nTAP to HKB: 7254\nTAP to AHE: 10488\nHKB to AHE: 9924\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRA, ORK, DBV, OVB, KBC, IAS, CUK, BDA, ADU\n- Travel distances (in kilometers) between each pair of airports:\nMRA to OVB: 5728\nMRA to DBV: 1748\nMRA to KBC: 12849\nMRA to CUK: 10308\nMRA to BDA: 8001\nMRA to IAS: 2280\nMRA to ORK: 2947\nMRA to ADU: 4014\nORK to OVB: 5640\nORK to DBV: 2250\nORK to KBC: 10327\nORK to CUK: 8594\nORK to BDA: 6119\nORK to IAS: 2661\nORK to ADU: 5497\nDBV to OVB: 5036\nDBV to KBC: 11959\nDBV to CUK: 10051\nDBV to BDA: 7230\nDBV to IAS: 1313\nDBV to ADU: 3703\nOVB to KBC: 14299\nOVB to CUK: 12961\nOVB to BDA: 10760\nOVB to IAS: 4610\nOVB to ADU: 3971\nKBC to CUK: 7254\nKBC to BDA: 7483\nKBC to IAS: 12280\nKBC to ADU: 15017\nIAS to CUK: 10485\nIAS to BDA: 7623\nIAS to ADU: 3210\nCUK to BDA: 2952\nCUK to ADU: 13312\nBDA to ADU: 10459\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43813,
"style": "rule"
}
|
{
"exact_answer": 43813,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MRA\", \"id\": 0}, {\"name\": \"ORK\", \"id\": 1}, {\"name\": \"DBV\", \"id\": 2}, {\"name\": \"OVB\", \"id\": 3}, {\"name\": \"KBC\", \"id\": 4}, {\"name\": \"IAS\", \"id\": 5}, {\"name\": \"CUK\", \"id\": 6}, {\"name\": \"BDA\", \"id\": 7}, {\"name\": \"ADU\", \"id\": 8}], \"links\": [{\"weight\": 5728, \"source\": 0, \"target\": 3}, {\"weight\": 1748, \"source\": 0, \"target\": 2}, {\"weight\": 12849, \"source\": 0, \"target\": 4}, {\"weight\": 10308, \"source\": 0, \"target\": 6}, {\"weight\": 8001, \"source\": 0, \"target\": 7}, {\"weight\": 2280, \"source\": 0, \"target\": 5}, {\"weight\": 2947, \"source\": 0, \"target\": 1}, {\"weight\": 4014, \"source\": 0, \"target\": 8}, {\"weight\": 5640, \"source\": 1, \"target\": 3}, {\"weight\": 2250, \"source\": 1, \"target\": 2}, {\"weight\": 10327, \"source\": 1, \"target\": 4}, {\"weight\": 8594, \"source\": 1, \"target\": 6}, {\"weight\": 6119, \"source\": 1, \"target\": 7}, {\"weight\": 2661, \"source\": 1, \"target\": 5}, {\"weight\": 5497, \"source\": 1, \"target\": 8}, {\"weight\": 5036, \"source\": 2, \"target\": 3}, {\"weight\": 11959, \"source\": 2, \"target\": 4}, {\"weight\": 10051, \"source\": 2, \"target\": 6}, {\"weight\": 7230, \"source\": 2, \"target\": 7}, {\"weight\": 1313, \"source\": 2, \"target\": 5}, {\"weight\": 3703, \"source\": 2, \"target\": 8}, {\"weight\": 14299, \"source\": 3, \"target\": 4}, {\"weight\": 12961, \"source\": 3, \"target\": 6}, {\"weight\": 10760, \"source\": 3, \"target\": 7}, {\"weight\": 4610, \"source\": 3, \"target\": 5}, {\"weight\": 3971, \"source\": 3, \"target\": 8}, {\"weight\": 7254, \"source\": 4, \"target\": 6}, {\"weight\": 7483, \"source\": 4, \"target\": 7}, {\"weight\": 12280, \"source\": 4, \"target\": 5}, {\"weight\": 15017, \"source\": 4, \"target\": 8}, {\"weight\": 10485, \"source\": 5, \"target\": 6}, {\"weight\": 7623, \"source\": 5, \"target\": 7}, {\"weight\": 3210, \"source\": 5, \"target\": 8}, {\"weight\": 2952, \"source\": 6, \"target\": 7}, {\"weight\": 13312, \"source\": 6, \"target\": 8}, {\"weight\": 10459, \"source\": 7, \"target\": 8}]}",
"id": 150,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRA, ORK, DBV, OVB, KBC, IAS, CUK, BDA, ADU\n- Travel distances (in kilometers) between each pair of airports:\nMRA to OVB: 5728\nMRA to DBV: 1748\nMRA to KBC: 12849\nMRA to CUK: 10308\nMRA to BDA: 8001\nMRA to IAS: 2280\nMRA to ORK: 2947\nMRA to ADU: 4014\nORK to OVB: 5640\nORK to DBV: 2250\nORK to KBC: 10327\nORK to CUK: 8594\nORK to BDA: 6119\nORK to IAS: 2661\nORK to ADU: 5497\nDBV to OVB: 5036\nDBV to KBC: 11959\nDBV to CUK: 10051\nDBV to BDA: 7230\nDBV to IAS: 1313\nDBV to ADU: 3703\nOVB to KBC: 14299\nOVB to CUK: 12961\nOVB to BDA: 10760\nOVB to IAS: 4610\nOVB to ADU: 3971\nKBC to CUK: 7254\nKBC to BDA: 7483\nKBC to IAS: 12280\nKBC to ADU: 15017\nIAS to CUK: 10485\nIAS to BDA: 7623\nIAS to ADU: 3210\nCUK to BDA: 2952\nCUK to ADU: 13312\nBDA to ADU: 10459\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FAE, EYK, LYR, KGI, SKP, SDR, BEG, RRS, KUS\n- Travel distances (in kilometers) between each pair of airports:\nFAE to EYK: 4530\nFAE to SKP: 2962\nFAE to BEG: 2628\nFAE to LYR: 2872\nFAE to SDR: 2673\nFAE to KUS: 4287\nFAE to KGI: 15462\nFAE to RRS: 1283\nEYK to SKP: 4027\nEYK to BEG: 3693\nEYK to LYR: 4865\nEYK to SDR: 5102\nEYK to KUS: 7327\nEYK to KGI: 12511\nEYK to RRS: 3783\nLYR to SKP: 4064\nLYR to BEG: 3730\nLYR to SDR: 4153\nLYR to KUS: 5466\nLYR to KGI: 15815\nLYR to RRS: 2276\nKGI to SKP: 13178\nKGI to BEG: 13393\nKGI to SDR: 15234\nKGI to KUS: 18225\nKGI to RRS: 14707\nSKP to BEG: 334\nSKP to SDR: 2138\nSKP to KUS: 5703\nSKP to RRS: 2414\nSDR to BEG: 2118\nSDR to KUS: 4870\nSDR to RRS: 2478\nBEG to KUS: 5369\nBEG to RRS: 2080\nRRS to KUS: 4146\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45722,
"style": "rule"
}
|
{
"exact_answer": 45722,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FAE\", \"id\": 0}, {\"name\": \"EYK\", \"id\": 1}, {\"name\": \"LYR\", \"id\": 2}, {\"name\": \"KGI\", \"id\": 3}, {\"name\": \"SKP\", \"id\": 4}, {\"name\": \"SDR\", \"id\": 5}, {\"name\": \"BEG\", \"id\": 6}, {\"name\": \"RRS\", \"id\": 7}, {\"name\": \"KUS\", \"id\": 8}], \"links\": [{\"weight\": 4530, \"source\": 0, \"target\": 1}, {\"weight\": 2962, \"source\": 0, \"target\": 4}, {\"weight\": 2628, \"source\": 0, \"target\": 6}, {\"weight\": 2872, \"source\": 0, \"target\": 2}, {\"weight\": 2673, \"source\": 0, \"target\": 5}, {\"weight\": 4287, \"source\": 0, \"target\": 8}, {\"weight\": 15462, \"source\": 0, \"target\": 3}, {\"weight\": 1283, \"source\": 0, \"target\": 7}, {\"weight\": 4027, \"source\": 1, \"target\": 4}, {\"weight\": 3693, \"source\": 1, \"target\": 6}, {\"weight\": 4865, \"source\": 1, \"target\": 2}, {\"weight\": 5102, \"source\": 1, \"target\": 5}, {\"weight\": 7327, \"source\": 1, \"target\": 8}, {\"weight\": 12511, \"source\": 1, \"target\": 3}, {\"weight\": 3783, \"source\": 1, \"target\": 7}, {\"weight\": 4064, \"source\": 2, \"target\": 4}, {\"weight\": 3730, \"source\": 2, \"target\": 6}, {\"weight\": 4153, \"source\": 2, \"target\": 5}, {\"weight\": 5466, \"source\": 2, \"target\": 8}, {\"weight\": 15815, \"source\": 2, \"target\": 3}, {\"weight\": 2276, \"source\": 2, \"target\": 7}, {\"weight\": 13178, \"source\": 3, \"target\": 4}, {\"weight\": 13393, \"source\": 3, \"target\": 6}, {\"weight\": 15234, \"source\": 3, \"target\": 5}, {\"weight\": 18225, \"source\": 3, \"target\": 8}, {\"weight\": 14707, \"source\": 3, \"target\": 7}, {\"weight\": 334, \"source\": 4, \"target\": 6}, {\"weight\": 2138, \"source\": 4, \"target\": 5}, {\"weight\": 5703, \"source\": 4, \"target\": 8}, {\"weight\": 2414, \"source\": 4, \"target\": 7}, {\"weight\": 2118, \"source\": 5, \"target\": 6}, {\"weight\": 4870, \"source\": 5, \"target\": 8}, {\"weight\": 2478, \"source\": 5, \"target\": 7}, {\"weight\": 5369, \"source\": 6, \"target\": 8}, {\"weight\": 2080, \"source\": 6, \"target\": 7}, {\"weight\": 4146, \"source\": 7, \"target\": 8}]}",
"id": 151,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FAE, EYK, LYR, KGI, SKP, SDR, BEG, RRS, KUS\n- Travel distances (in kilometers) between each pair of airports:\nFAE to EYK: 4530\nFAE to SKP: 2962\nFAE to BEG: 2628\nFAE to LYR: 2872\nFAE to SDR: 2673\nFAE to KUS: 4287\nFAE to KGI: 15462\nFAE to RRS: 1283\nEYK to SKP: 4027\nEYK to BEG: 3693\nEYK to LYR: 4865\nEYK to SDR: 5102\nEYK to KUS: 7327\nEYK to KGI: 12511\nEYK to RRS: 3783\nLYR to SKP: 4064\nLYR to BEG: 3730\nLYR to SDR: 4153\nLYR to KUS: 5466\nLYR to KGI: 15815\nLYR to RRS: 2276\nKGI to SKP: 13178\nKGI to BEG: 13393\nKGI to SDR: 15234\nKGI to KUS: 18225\nKGI to RRS: 14707\nSKP to BEG: 334\nSKP to SDR: 2138\nSKP to KUS: 5703\nSKP to RRS: 2414\nSDR to BEG: 2118\nSDR to KUS: 4870\nSDR to RRS: 2478\nBEG to KUS: 5369\nBEG to RRS: 2080\nRRS to KUS: 4146\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRK, KGF, JGD, GZP, BOM, SWF, FSP, KXU, BDB\n- Travel distances (in kilometers) between each pair of airports:\nTRK to BOM: 5445\nTRK to GZP: 10016\nTRK to SWF: 15455\nTRK to JGD: 5488\nTRK to KGF: 7121\nTRK to FSP: 15864\nTRK to BDB: 6143\nTRK to KXU: 12318\nKGF to BOM: 3538\nKGF to GZP: 4219\nKGF to SWF: 10173\nKGF to JGD: 4839\nKGF to FSP: 8979\nKGF to BDB: 12105\nKGF to KXU: 15986\nJGD to BOM: 5903\nJGD to GZP: 7509\nJGD to SWF: 12681\nJGD to FSP: 12036\nJGD to BDB: 9474\nJGD to KXU: 12005\nGZP to BOM: 4905\nGZP to SWF: 9002\nGZP to FSP: 7100\nGZP to BDB: 15148\nGZP to KXU: 18627\nBOM to SWF: 12878\nBOM to FSP: 11202\nBOM to BDB: 10350\nBOM to KXU: 16525\nSWF to FSP: 1921\nSWF to BDB: 15766\nSWF to KXU: 10937\nFSP to BDB: 17116\nFSP to KXU: 12321\nKXU to BDB: 6749\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51620,
"style": "rule"
}
|
{
"exact_answer": 51620,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRK\", \"id\": 0}, {\"name\": \"KGF\", \"id\": 1}, {\"name\": \"JGD\", \"id\": 2}, {\"name\": \"GZP\", \"id\": 3}, {\"name\": \"BOM\", \"id\": 4}, {\"name\": \"SWF\", \"id\": 5}, {\"name\": \"FSP\", \"id\": 6}, {\"name\": \"KXU\", \"id\": 7}, {\"name\": \"BDB\", \"id\": 8}], \"links\": [{\"weight\": 5445, \"source\": 0, \"target\": 4}, {\"weight\": 10016, \"source\": 0, \"target\": 3}, {\"weight\": 15455, \"source\": 0, \"target\": 5}, {\"weight\": 5488, \"source\": 0, \"target\": 2}, {\"weight\": 7121, \"source\": 0, \"target\": 1}, {\"weight\": 15864, \"source\": 0, \"target\": 6}, {\"weight\": 6143, \"source\": 0, \"target\": 8}, {\"weight\": 12318, \"source\": 0, \"target\": 7}, {\"weight\": 3538, \"source\": 1, \"target\": 4}, {\"weight\": 4219, \"source\": 1, \"target\": 3}, {\"weight\": 10173, \"source\": 1, \"target\": 5}, {\"weight\": 4839, \"source\": 1, \"target\": 2}, {\"weight\": 8979, \"source\": 1, \"target\": 6}, {\"weight\": 12105, \"source\": 1, \"target\": 8}, {\"weight\": 15986, \"source\": 1, \"target\": 7}, {\"weight\": 5903, \"source\": 2, \"target\": 4}, {\"weight\": 7509, \"source\": 2, \"target\": 3}, {\"weight\": 12681, \"source\": 2, \"target\": 5}, {\"weight\": 12036, \"source\": 2, \"target\": 6}, {\"weight\": 9474, \"source\": 2, \"target\": 8}, {\"weight\": 12005, \"source\": 2, \"target\": 7}, {\"weight\": 4905, \"source\": 3, \"target\": 4}, {\"weight\": 9002, \"source\": 3, \"target\": 5}, {\"weight\": 7100, \"source\": 3, \"target\": 6}, {\"weight\": 15148, \"source\": 3, \"target\": 8}, {\"weight\": 18627, \"source\": 3, \"target\": 7}, {\"weight\": 12878, \"source\": 4, \"target\": 5}, {\"weight\": 11202, \"source\": 4, \"target\": 6}, {\"weight\": 10350, \"source\": 4, \"target\": 8}, {\"weight\": 16525, \"source\": 4, \"target\": 7}, {\"weight\": 1921, \"source\": 5, \"target\": 6}, {\"weight\": 15766, \"source\": 5, \"target\": 8}, {\"weight\": 10937, \"source\": 5, \"target\": 7}, {\"weight\": 17116, \"source\": 6, \"target\": 8}, {\"weight\": 12321, \"source\": 6, \"target\": 7}, {\"weight\": 6749, \"source\": 7, \"target\": 8}]}",
"id": 152,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRK, KGF, JGD, GZP, BOM, SWF, FSP, KXU, BDB\n- Travel distances (in kilometers) between each pair of airports:\nTRK to BOM: 5445\nTRK to GZP: 10016\nTRK to SWF: 15455\nTRK to JGD: 5488\nTRK to KGF: 7121\nTRK to FSP: 15864\nTRK to BDB: 6143\nTRK to KXU: 12318\nKGF to BOM: 3538\nKGF to GZP: 4219\nKGF to SWF: 10173\nKGF to JGD: 4839\nKGF to FSP: 8979\nKGF to BDB: 12105\nKGF to KXU: 15986\nJGD to BOM: 5903\nJGD to GZP: 7509\nJGD to SWF: 12681\nJGD to FSP: 12036\nJGD to BDB: 9474\nJGD to KXU: 12005\nGZP to BOM: 4905\nGZP to SWF: 9002\nGZP to FSP: 7100\nGZP to BDB: 15148\nGZP to KXU: 18627\nBOM to SWF: 12878\nBOM to FSP: 11202\nBOM to BDB: 10350\nBOM to KXU: 16525\nSWF to FSP: 1921\nSWF to BDB: 15766\nSWF to KXU: 10937\nFSP to BDB: 17116\nFSP to KXU: 12321\nKXU to BDB: 6749\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RUH, NOJ, ORH, TET, PTY, ARW, SJE, KHN, BDB\n- Travel distances (in kilometers) between each pair of airports:\nRUH to KHN: 6794\nRUH to SJE: 13221\nRUH to PTY: 13096\nRUH to ORH: 13660\nRUH to BDB: 13097\nRUH to TET: 5286\nRUH to ARW: 4910\nRUH to NOJ: 4851\nNOJ to KHN: 6205\nNOJ to SJE: 13498\nNOJ to PTY: 13135\nNOJ to ORH: 13043\nNOJ to BDB: 13660\nNOJ to TET: 10131\nNOJ to ARW: 5404\nORH to KHN: 15185\nORH to SJE: 4700\nORH to PTY: 3844\nORH to BDB: 16989\nORH to TET: 17235\nORH to ARW: 10626\nTET to KHN: 11214\nTET to SJE: 13309\nTET to PTY: 13771\nTET to BDB: 13310\nTET to ARW: 9172\nPTY to KHN: 15562\nPTY to SJE: 1043\nPTY to BDB: 16665\nPTY to ARW: 10272\nARW to KHN: 9883\nARW to SJE: 10367\nARW to BDB: 17433\nSJE to KHN: 16459\nSJE to BDB: 16772\nKHN to BDB: 7722\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64712,
"style": "rule"
}
|
{
"exact_answer": 64712,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RUH\", \"id\": 0}, {\"name\": \"NOJ\", \"id\": 1}, {\"name\": \"ORH\", \"id\": 2}, {\"name\": \"TET\", \"id\": 3}, {\"name\": \"PTY\", \"id\": 4}, {\"name\": \"ARW\", \"id\": 5}, {\"name\": \"SJE\", \"id\": 6}, {\"name\": \"KHN\", \"id\": 7}, {\"name\": \"BDB\", \"id\": 8}], \"links\": [{\"weight\": 6794, \"source\": 0, \"target\": 7}, {\"weight\": 13221, \"source\": 0, \"target\": 6}, {\"weight\": 13096, \"source\": 0, \"target\": 4}, {\"weight\": 13660, \"source\": 0, \"target\": 2}, {\"weight\": 13097, \"source\": 0, \"target\": 8}, {\"weight\": 5286, \"source\": 0, \"target\": 3}, {\"weight\": 4910, \"source\": 0, \"target\": 5}, {\"weight\": 4851, \"source\": 0, \"target\": 1}, {\"weight\": 6205, \"source\": 1, \"target\": 7}, {\"weight\": 13498, \"source\": 1, \"target\": 6}, {\"weight\": 13135, \"source\": 1, \"target\": 4}, {\"weight\": 13043, \"source\": 1, \"target\": 2}, {\"weight\": 13660, \"source\": 1, \"target\": 8}, {\"weight\": 10131, \"source\": 1, \"target\": 3}, {\"weight\": 5404, \"source\": 1, \"target\": 5}, {\"weight\": 15185, \"source\": 2, \"target\": 7}, {\"weight\": 4700, \"source\": 2, \"target\": 6}, {\"weight\": 3844, \"source\": 2, \"target\": 4}, {\"weight\": 16989, \"source\": 2, \"target\": 8}, {\"weight\": 17235, \"source\": 2, \"target\": 3}, {\"weight\": 10626, \"source\": 2, \"target\": 5}, {\"weight\": 11214, \"source\": 3, \"target\": 7}, {\"weight\": 13309, \"source\": 3, \"target\": 6}, {\"weight\": 13771, \"source\": 3, \"target\": 4}, {\"weight\": 13310, \"source\": 3, \"target\": 8}, {\"weight\": 9172, \"source\": 3, \"target\": 5}, {\"weight\": 15562, \"source\": 4, \"target\": 7}, {\"weight\": 1043, \"source\": 4, \"target\": 6}, {\"weight\": 16665, \"source\": 4, \"target\": 8}, {\"weight\": 10272, \"source\": 4, \"target\": 5}, {\"weight\": 9883, \"source\": 5, \"target\": 7}, {\"weight\": 10367, \"source\": 5, \"target\": 6}, {\"weight\": 17433, \"source\": 5, \"target\": 8}, {\"weight\": 16459, \"source\": 6, \"target\": 7}, {\"weight\": 16772, \"source\": 6, \"target\": 8}, {\"weight\": 7722, \"source\": 7, \"target\": 8}]}",
"id": 153,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RUH, NOJ, ORH, TET, PTY, ARW, SJE, KHN, BDB\n- Travel distances (in kilometers) between each pair of airports:\nRUH to KHN: 6794\nRUH to SJE: 13221\nRUH to PTY: 13096\nRUH to ORH: 13660\nRUH to BDB: 13097\nRUH to TET: 5286\nRUH to ARW: 4910\nRUH to NOJ: 4851\nNOJ to KHN: 6205\nNOJ to SJE: 13498\nNOJ to PTY: 13135\nNOJ to ORH: 13043\nNOJ to BDB: 13660\nNOJ to TET: 10131\nNOJ to ARW: 5404\nORH to KHN: 15185\nORH to SJE: 4700\nORH to PTY: 3844\nORH to BDB: 16989\nORH to TET: 17235\nORH to ARW: 10626\nTET to KHN: 11214\nTET to SJE: 13309\nTET to PTY: 13771\nTET to BDB: 13310\nTET to ARW: 9172\nPTY to KHN: 15562\nPTY to SJE: 1043\nPTY to BDB: 16665\nPTY to ARW: 10272\nARW to KHN: 9883\nARW to SJE: 10367\nARW to BDB: 17433\nSJE to KHN: 16459\nSJE to BDB: 16772\nKHN to BDB: 7722\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOJ, HOV, LRR, SGD, YQF, KIN, CFN, PTU, MII\n- Travel distances (in kilometers) between each pair of airports:\nGOJ to PTU: 12683\nGOJ to SGD: 2129\nGOJ to KIN: 10393\nGOJ to YQF: 8997\nGOJ to MII: 12501\nGOJ to CFN: 3393\nGOJ to LRR: 3963\nGOJ to HOV: 2345\nHOV to PTU: 10674\nHOV to SGD: 1059\nHOV to KIN: 8357\nHOV to YQF: 6988\nHOV to MII: 11039\nHOV to CFN: 1473\nHOV to LRR: 5574\nLRR to PTU: 15373\nLRR to SGD: 4970\nLRR to KIN: 12783\nLRR to YQF: 12194\nLRR to MII: 12645\nLRR to CFN: 5936\nSGD to PTU: 11309\nSGD to KIN: 8715\nSGD to YQF: 7623\nSGD to MII: 10894\nSGD to CFN: 1661\nYQF to PTU: 3967\nYQF to KIN: 5083\nYQF to MII: 10934\nYQF to CFN: 6857\nKIN to PTU: 8239\nKIN to MII: 6194\nKIN to CFN: 7834\nCFN to PTU: 10580\nCFN to MII: 10094\nPTU to MII: 14089\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46526,
"style": "rule"
}
|
{
"exact_answer": 46526,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOJ\", \"id\": 0}, {\"name\": \"HOV\", \"id\": 1}, {\"name\": \"LRR\", \"id\": 2}, {\"name\": \"SGD\", \"id\": 3}, {\"name\": \"YQF\", \"id\": 4}, {\"name\": \"KIN\", \"id\": 5}, {\"name\": \"CFN\", \"id\": 6}, {\"name\": \"PTU\", \"id\": 7}, {\"name\": \"MII\", \"id\": 8}], \"links\": [{\"weight\": 12683, \"source\": 0, \"target\": 7}, {\"weight\": 2129, \"source\": 0, \"target\": 3}, {\"weight\": 10393, \"source\": 0, \"target\": 5}, {\"weight\": 8997, \"source\": 0, \"target\": 4}, {\"weight\": 12501, \"source\": 0, \"target\": 8}, {\"weight\": 3393, \"source\": 0, \"target\": 6}, {\"weight\": 3963, \"source\": 0, \"target\": 2}, {\"weight\": 2345, \"source\": 0, \"target\": 1}, {\"weight\": 10674, \"source\": 1, \"target\": 7}, {\"weight\": 1059, \"source\": 1, \"target\": 3}, {\"weight\": 8357, \"source\": 1, \"target\": 5}, {\"weight\": 6988, \"source\": 1, \"target\": 4}, {\"weight\": 11039, \"source\": 1, \"target\": 8}, {\"weight\": 1473, \"source\": 1, \"target\": 6}, {\"weight\": 5574, \"source\": 1, \"target\": 2}, {\"weight\": 15373, \"source\": 2, \"target\": 7}, {\"weight\": 4970, \"source\": 2, \"target\": 3}, {\"weight\": 12783, \"source\": 2, \"target\": 5}, {\"weight\": 12194, \"source\": 2, \"target\": 4}, {\"weight\": 12645, \"source\": 2, \"target\": 8}, {\"weight\": 5936, \"source\": 2, \"target\": 6}, {\"weight\": 11309, \"source\": 3, \"target\": 7}, {\"weight\": 8715, \"source\": 3, \"target\": 5}, {\"weight\": 7623, \"source\": 3, \"target\": 4}, {\"weight\": 10894, \"source\": 3, \"target\": 8}, {\"weight\": 1661, \"source\": 3, \"target\": 6}, {\"weight\": 3967, \"source\": 4, \"target\": 7}, {\"weight\": 5083, \"source\": 4, \"target\": 5}, {\"weight\": 10934, \"source\": 4, \"target\": 8}, {\"weight\": 6857, \"source\": 4, \"target\": 6}, {\"weight\": 8239, \"source\": 5, \"target\": 7}, {\"weight\": 6194, \"source\": 5, \"target\": 8}, {\"weight\": 7834, \"source\": 5, \"target\": 6}, {\"weight\": 10580, \"source\": 6, \"target\": 7}, {\"weight\": 10094, \"source\": 6, \"target\": 8}, {\"weight\": 14089, \"source\": 7, \"target\": 8}]}",
"id": 154,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOJ, HOV, LRR, SGD, YQF, KIN, CFN, PTU, MII\n- Travel distances (in kilometers) between each pair of airports:\nGOJ to PTU: 12683\nGOJ to SGD: 2129\nGOJ to KIN: 10393\nGOJ to YQF: 8997\nGOJ to MII: 12501\nGOJ to CFN: 3393\nGOJ to LRR: 3963\nGOJ to HOV: 2345\nHOV to PTU: 10674\nHOV to SGD: 1059\nHOV to KIN: 8357\nHOV to YQF: 6988\nHOV to MII: 11039\nHOV to CFN: 1473\nHOV to LRR: 5574\nLRR to PTU: 15373\nLRR to SGD: 4970\nLRR to KIN: 12783\nLRR to YQF: 12194\nLRR to MII: 12645\nLRR to CFN: 5936\nSGD to PTU: 11309\nSGD to KIN: 8715\nSGD to YQF: 7623\nSGD to MII: 10894\nSGD to CFN: 1661\nYQF to PTU: 3967\nYQF to KIN: 5083\nYQF to MII: 10934\nYQF to CFN: 6857\nKIN to PTU: 8239\nKIN to MII: 6194\nKIN to CFN: 7834\nCFN to PTU: 10580\nCFN to MII: 10094\nPTU to MII: 14089\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXU, NHV, HEK, ASO, PAH, KSU, NTL, ANC, NRA\n- Travel distances (in kilometers) between each pair of airports:\nIXU to ANC: 15795\nIXU to HEK: 6310\nIXU to KSU: 7205\nIXU to ASO: 4588\nIXU to NTL: 10627\nIXU to PAH: 13555\nIXU to NHV: 17741\nIXU to NRA: 10922\nNHV to ANC: 10297\nNHV to HEK: 13001\nNHV to KSU: 16917\nNHV to ASO: 21433\nNHV to NTL: 7675\nNHV to PAH: 11370\nNHV to NRA: 7970\nHEK to ANC: 12126\nHEK to KSU: 8009\nHEK to ASO: 10315\nHEK to NTL: 9738\nHEK to PAH: 12498\nHEK to NRA: 10200\nASO to ANC: 16347\nASO to KSU: 6991\nASO to NTL: 14040\nASO to PAH: 13228\nASO to NRA: 14335\nPAH to ANC: 5119\nPAH to KSU: 7212\nPAH to NTL: 15498\nPAH to NRA: 15848\nKSU to ANC: 9927\nKSU to NTL: 16423\nKSU to NRA: 16718\nNTL to ANC: 12639\nNTL to NRA: 577\nANC to NRA: 13080\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58802,
"style": "rule"
}
|
{
"exact_answer": 58802,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXU\", \"id\": 0}, {\"name\": \"NHV\", \"id\": 1}, {\"name\": \"HEK\", \"id\": 2}, {\"name\": \"ASO\", \"id\": 3}, {\"name\": \"PAH\", \"id\": 4}, {\"name\": \"KSU\", \"id\": 5}, {\"name\": \"NTL\", \"id\": 6}, {\"name\": \"ANC\", \"id\": 7}, {\"name\": \"NRA\", \"id\": 8}], \"links\": [{\"weight\": 15795, \"source\": 0, \"target\": 7}, {\"weight\": 6310, \"source\": 0, \"target\": 2}, {\"weight\": 7205, \"source\": 0, \"target\": 5}, {\"weight\": 4588, \"source\": 0, \"target\": 3}, {\"weight\": 10627, \"source\": 0, \"target\": 6}, {\"weight\": 13555, \"source\": 0, \"target\": 4}, {\"weight\": 17741, \"source\": 0, \"target\": 1}, {\"weight\": 10922, \"source\": 0, \"target\": 8}, {\"weight\": 10297, \"source\": 1, \"target\": 7}, {\"weight\": 13001, \"source\": 1, \"target\": 2}, {\"weight\": 16917, \"source\": 1, \"target\": 5}, {\"weight\": 21433, \"source\": 1, \"target\": 3}, {\"weight\": 7675, \"source\": 1, \"target\": 6}, {\"weight\": 11370, \"source\": 1, \"target\": 4}, {\"weight\": 7970, \"source\": 1, \"target\": 8}, {\"weight\": 12126, \"source\": 2, \"target\": 7}, {\"weight\": 8009, \"source\": 2, \"target\": 5}, {\"weight\": 10315, \"source\": 2, \"target\": 3}, {\"weight\": 9738, \"source\": 2, \"target\": 6}, {\"weight\": 12498, \"source\": 2, \"target\": 4}, {\"weight\": 10200, \"source\": 2, \"target\": 8}, {\"weight\": 16347, \"source\": 3, \"target\": 7}, {\"weight\": 6991, \"source\": 3, \"target\": 5}, {\"weight\": 14040, \"source\": 3, \"target\": 6}, {\"weight\": 13228, \"source\": 3, \"target\": 4}, {\"weight\": 14335, \"source\": 3, \"target\": 8}, {\"weight\": 5119, \"source\": 4, \"target\": 7}, {\"weight\": 7212, \"source\": 4, \"target\": 5}, {\"weight\": 15498, \"source\": 4, \"target\": 6}, {\"weight\": 15848, \"source\": 4, \"target\": 8}, {\"weight\": 9927, \"source\": 5, \"target\": 7}, {\"weight\": 16423, \"source\": 5, \"target\": 6}, {\"weight\": 16718, \"source\": 5, \"target\": 8}, {\"weight\": 12639, \"source\": 6, \"target\": 7}, {\"weight\": 577, \"source\": 6, \"target\": 8}, {\"weight\": 13080, \"source\": 7, \"target\": 8}]}",
"id": 155,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXU, NHV, HEK, ASO, PAH, KSU, NTL, ANC, NRA\n- Travel distances (in kilometers) between each pair of airports:\nIXU to ANC: 15795\nIXU to HEK: 6310\nIXU to KSU: 7205\nIXU to ASO: 4588\nIXU to NTL: 10627\nIXU to PAH: 13555\nIXU to NHV: 17741\nIXU to NRA: 10922\nNHV to ANC: 10297\nNHV to HEK: 13001\nNHV to KSU: 16917\nNHV to ASO: 21433\nNHV to NTL: 7675\nNHV to PAH: 11370\nNHV to NRA: 7970\nHEK to ANC: 12126\nHEK to KSU: 8009\nHEK to ASO: 10315\nHEK to NTL: 9738\nHEK to PAH: 12498\nHEK to NRA: 10200\nASO to ANC: 16347\nASO to KSU: 6991\nASO to NTL: 14040\nASO to PAH: 13228\nASO to NRA: 14335\nPAH to ANC: 5119\nPAH to KSU: 7212\nPAH to NTL: 15498\nPAH to NRA: 15848\nKSU to ANC: 9927\nKSU to NTL: 16423\nKSU to NRA: 16718\nNTL to ANC: 12639\nNTL to NRA: 577\nANC to NRA: 13080\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GES, UYU, JIB, CMP, YIC, TNN, DIN, RDZ, WGP\n- Travel distances (in kilometers) between each pair of airports:\nGES to JIB: 9772\nGES to YIC: 3187\nGES to RDZ: 12253\nGES to TNN: 2822\nGES to WGP: 3744\nGES to CMP: 20557\nGES to DIN: 3103\nGES to UYU: 20289\nUYU to JIB: 13399\nUYU to YIC: 19214\nUYU to RDZ: 11437\nUYU to TNN: 20443\nUYU to WGP: 18919\nUYU to CMP: 5432\nUYU to DIN: 20346\nJIB to YIC: 7849\nJIB to RDZ: 6111\nJIB to TNN: 8435\nJIB to WGP: 9675\nJIB to CMP: 11889\nJIB to DIN: 7619\nCMP to YIC: 18508\nCMP to RDZ: 9376\nCMP to TNN: 19033\nCMP to WGP: 20872\nCMP to DIN: 18352\nYIC to RDZ: 10090\nYIC to TNN: 1848\nYIC to WGP: 4641\nYIC to DIN: 1733\nTNN to RDZ: 10729\nTNN to WGP: 4677\nTNN to DIN: 1784\nDIN to RDZ: 9954\nDIN to WGP: 4750\nRDZ to WGP: 13477\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57604,
"style": "rule"
}
|
{
"exact_answer": 57604,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GES\", \"id\": 0}, {\"name\": \"UYU\", \"id\": 1}, {\"name\": \"JIB\", \"id\": 2}, {\"name\": \"CMP\", \"id\": 3}, {\"name\": \"YIC\", \"id\": 4}, {\"name\": \"TNN\", \"id\": 5}, {\"name\": \"DIN\", \"id\": 6}, {\"name\": \"RDZ\", \"id\": 7}, {\"name\": \"WGP\", \"id\": 8}], \"links\": [{\"weight\": 9772, \"source\": 0, \"target\": 2}, {\"weight\": 3187, \"source\": 0, \"target\": 4}, {\"weight\": 12253, \"source\": 0, \"target\": 7}, {\"weight\": 2822, \"source\": 0, \"target\": 5}, {\"weight\": 3744, \"source\": 0, \"target\": 8}, {\"weight\": 20557, \"source\": 0, \"target\": 3}, {\"weight\": 3103, \"source\": 0, \"target\": 6}, {\"weight\": 20289, \"source\": 0, \"target\": 1}, {\"weight\": 13399, \"source\": 1, \"target\": 2}, {\"weight\": 19214, \"source\": 1, \"target\": 4}, {\"weight\": 11437, \"source\": 1, \"target\": 7}, {\"weight\": 20443, \"source\": 1, \"target\": 5}, {\"weight\": 18919, \"source\": 1, \"target\": 8}, {\"weight\": 5432, \"source\": 1, \"target\": 3}, {\"weight\": 20346, \"source\": 1, \"target\": 6}, {\"weight\": 7849, \"source\": 2, \"target\": 4}, {\"weight\": 6111, \"source\": 2, \"target\": 7}, {\"weight\": 8435, \"source\": 2, \"target\": 5}, {\"weight\": 9675, \"source\": 2, \"target\": 8}, {\"weight\": 11889, \"source\": 2, \"target\": 3}, {\"weight\": 7619, \"source\": 2, \"target\": 6}, {\"weight\": 18508, \"source\": 3, \"target\": 4}, {\"weight\": 9376, \"source\": 3, \"target\": 7}, {\"weight\": 19033, \"source\": 3, \"target\": 5}, {\"weight\": 20872, \"source\": 3, \"target\": 8}, {\"weight\": 18352, \"source\": 3, \"target\": 6}, {\"weight\": 10090, \"source\": 4, \"target\": 7}, {\"weight\": 1848, \"source\": 4, \"target\": 5}, {\"weight\": 4641, \"source\": 4, \"target\": 8}, {\"weight\": 1733, \"source\": 4, \"target\": 6}, {\"weight\": 10729, \"source\": 5, \"target\": 7}, {\"weight\": 4677, \"source\": 5, \"target\": 8}, {\"weight\": 1784, \"source\": 5, \"target\": 6}, {\"weight\": 9954, \"source\": 6, \"target\": 7}, {\"weight\": 4750, \"source\": 6, \"target\": 8}, {\"weight\": 13477, \"source\": 7, \"target\": 8}]}",
"id": 156,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GES, UYU, JIB, CMP, YIC, TNN, DIN, RDZ, WGP\n- Travel distances (in kilometers) between each pair of airports:\nGES to JIB: 9772\nGES to YIC: 3187\nGES to RDZ: 12253\nGES to TNN: 2822\nGES to WGP: 3744\nGES to CMP: 20557\nGES to DIN: 3103\nGES to UYU: 20289\nUYU to JIB: 13399\nUYU to YIC: 19214\nUYU to RDZ: 11437\nUYU to TNN: 20443\nUYU to WGP: 18919\nUYU to CMP: 5432\nUYU to DIN: 20346\nJIB to YIC: 7849\nJIB to RDZ: 6111\nJIB to TNN: 8435\nJIB to WGP: 9675\nJIB to CMP: 11889\nJIB to DIN: 7619\nCMP to YIC: 18508\nCMP to RDZ: 9376\nCMP to TNN: 19033\nCMP to WGP: 20872\nCMP to DIN: 18352\nYIC to RDZ: 10090\nYIC to TNN: 1848\nYIC to WGP: 4641\nYIC to DIN: 1733\nTNN to RDZ: 10729\nTNN to WGP: 4677\nTNN to DIN: 1784\nDIN to RDZ: 9954\nDIN to WGP: 4750\nRDZ to WGP: 13477\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RTB, MEX, MSJ, NOJ, KWJ, AUX, BPX, YTH, MBE\n- Travel distances (in kilometers) between each pair of airports:\nRTB to AUX: 5757\nRTB to MEX: 1440\nRTB to YTH: 4655\nRTB to BPX: 15531\nRTB to MSJ: 13078\nRTB to KWJ: 13731\nRTB to MBE: 13509\nRTB to NOJ: 12744\nMEX to AUX: 6739\nMEX to YTH: 4172\nMEX to BPX: 14646\nMEX to MSJ: 11900\nMEX to KWJ: 12714\nMEX to MBE: 12331\nMEX to NOJ: 13013\nMSJ to AUX: 17904\nMSJ to YTH: 10666\nMSJ to BPX: 4529\nMSJ to KWJ: 1863\nMSJ to MBE: 1609\nMSJ to NOJ: 7638\nNOJ to AUX: 13303\nNOJ to YTH: 11937\nNOJ to BPX: 5969\nNOJ to KWJ: 6154\nNOJ to MBE: 8069\nKWJ to AUX: 17789\nKWJ to YTH: 11267\nKWJ to BPX: 3029\nKWJ to MBE: 2441\nAUX to YTH: 8724\nAUX to BPX: 16597\nAUX to MBE: 18335\nBPX to YTH: 13221\nBPX to MBE: 5081\nYTH to MBE: 11097\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48239,
"style": "rule"
}
|
{
"exact_answer": 48239,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RTB\", \"id\": 0}, {\"name\": \"MEX\", \"id\": 1}, {\"name\": \"MSJ\", \"id\": 2}, {\"name\": \"NOJ\", \"id\": 3}, {\"name\": \"KWJ\", \"id\": 4}, {\"name\": \"AUX\", \"id\": 5}, {\"name\": \"BPX\", \"id\": 6}, {\"name\": \"YTH\", \"id\": 7}, {\"name\": \"MBE\", \"id\": 8}], \"links\": [{\"weight\": 5757, \"source\": 0, \"target\": 5}, {\"weight\": 1440, \"source\": 0, \"target\": 1}, {\"weight\": 4655, \"source\": 0, \"target\": 7}, {\"weight\": 15531, \"source\": 0, \"target\": 6}, {\"weight\": 13078, \"source\": 0, \"target\": 2}, {\"weight\": 13731, \"source\": 0, \"target\": 4}, {\"weight\": 13509, \"source\": 0, \"target\": 8}, {\"weight\": 12744, \"source\": 0, \"target\": 3}, {\"weight\": 6739, \"source\": 1, \"target\": 5}, {\"weight\": 4172, \"source\": 1, \"target\": 7}, {\"weight\": 14646, \"source\": 1, \"target\": 6}, {\"weight\": 11900, \"source\": 1, \"target\": 2}, {\"weight\": 12714, \"source\": 1, \"target\": 4}, {\"weight\": 12331, \"source\": 1, \"target\": 8}, {\"weight\": 13013, \"source\": 1, \"target\": 3}, {\"weight\": 17904, \"source\": 2, \"target\": 5}, {\"weight\": 10666, \"source\": 2, \"target\": 7}, {\"weight\": 4529, \"source\": 2, \"target\": 6}, {\"weight\": 1863, \"source\": 2, \"target\": 4}, {\"weight\": 1609, \"source\": 2, \"target\": 8}, {\"weight\": 7638, \"source\": 2, \"target\": 3}, {\"weight\": 13303, \"source\": 3, \"target\": 5}, {\"weight\": 11937, \"source\": 3, \"target\": 7}, {\"weight\": 5969, \"source\": 3, \"target\": 6}, {\"weight\": 6154, \"source\": 3, \"target\": 4}, {\"weight\": 8069, \"source\": 3, \"target\": 8}, {\"weight\": 17789, \"source\": 4, \"target\": 5}, {\"weight\": 11267, \"source\": 4, \"target\": 7}, {\"weight\": 3029, \"source\": 4, \"target\": 6}, {\"weight\": 2441, \"source\": 4, \"target\": 8}, {\"weight\": 8724, \"source\": 5, \"target\": 7}, {\"weight\": 16597, \"source\": 5, \"target\": 6}, {\"weight\": 18335, \"source\": 5, \"target\": 8}, {\"weight\": 13221, \"source\": 6, \"target\": 7}, {\"weight\": 5081, \"source\": 6, \"target\": 8}, {\"weight\": 11097, \"source\": 7, \"target\": 8}]}",
"id": 157,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RTB, MEX, MSJ, NOJ, KWJ, AUX, BPX, YTH, MBE\n- Travel distances (in kilometers) between each pair of airports:\nRTB to AUX: 5757\nRTB to MEX: 1440\nRTB to YTH: 4655\nRTB to BPX: 15531\nRTB to MSJ: 13078\nRTB to KWJ: 13731\nRTB to MBE: 13509\nRTB to NOJ: 12744\nMEX to AUX: 6739\nMEX to YTH: 4172\nMEX to BPX: 14646\nMEX to MSJ: 11900\nMEX to KWJ: 12714\nMEX to MBE: 12331\nMEX to NOJ: 13013\nMSJ to AUX: 17904\nMSJ to YTH: 10666\nMSJ to BPX: 4529\nMSJ to KWJ: 1863\nMSJ to MBE: 1609\nMSJ to NOJ: 7638\nNOJ to AUX: 13303\nNOJ to YTH: 11937\nNOJ to BPX: 5969\nNOJ to KWJ: 6154\nNOJ to MBE: 8069\nKWJ to AUX: 17789\nKWJ to YTH: 11267\nKWJ to BPX: 3029\nKWJ to MBE: 2441\nAUX to YTH: 8724\nAUX to BPX: 16597\nAUX to MBE: 18335\nBPX to YTH: 13221\nBPX to MBE: 5081\nYTH to MBE: 11097\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KLV, NNY, MGQ, MZR, AHU, YYT, SFL, ABZ\n- Travel distances (in kilometers) between each pair of airports:\nZFN to MGQ: 15366\nZFN to MZR: 13644\nZFN to ABZ: 8392\nZFN to YYT: 5431\nZFN to AHU: 9964\nZFN to NNY: 11828\nZFN to KLV: 10851\nZFN to SFL: 9793\nKLV to MGQ: 7898\nKLV to MZR: 5534\nKLV to ABZ: 3418\nKLV to YYT: 7356\nKLV to AHU: 5950\nKLV to NNY: 8163\nKLV to SFL: 8232\nNNY to MGQ: 8488\nNNY to MZR: 4805\nNNY to ABZ: 8759\nNNY to YYT: 12641\nNNY to AHU: 11058\nNNY to SFL: 13366\nMGQ to MZR: 4865\nMGQ to ABZ: 7486\nMGQ to YYT: 10739\nMGQ to AHU: 7435\nMGQ to SFL: 7998\nMZR to ABZ: 6061\nMZR to YYT: 9550\nMZR to AHU: 7037\nMZR to SFL: 9345\nAHU to ABZ: 3127\nAHU to YYT: 6208\nAHU to SFL: 3106\nYYT to ABZ: 4361\nYYT to SFL: 7101\nSFL to ABZ: 5191\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51377,
"style": "rule"
}
|
{
"exact_answer": 51377,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZFN\", \"id\": 0}, {\"name\": \"KLV\", \"id\": 1}, {\"name\": \"NNY\", \"id\": 2}, {\"name\": \"MGQ\", \"id\": 3}, {\"name\": \"MZR\", \"id\": 4}, {\"name\": \"AHU\", \"id\": 5}, {\"name\": \"YYT\", \"id\": 6}, {\"name\": \"SFL\", \"id\": 7}, {\"name\": \"ABZ\", \"id\": 8}], \"links\": [{\"weight\": 15366, \"source\": 0, \"target\": 3}, {\"weight\": 13644, \"source\": 0, \"target\": 4}, {\"weight\": 8392, \"source\": 0, \"target\": 8}, {\"weight\": 5431, \"source\": 0, \"target\": 6}, {\"weight\": 9964, \"source\": 0, \"target\": 5}, {\"weight\": 11828, \"source\": 0, \"target\": 2}, {\"weight\": 10851, \"source\": 0, \"target\": 1}, {\"weight\": 9793, \"source\": 0, \"target\": 7}, {\"weight\": 7898, \"source\": 1, \"target\": 3}, {\"weight\": 5534, \"source\": 1, \"target\": 4}, {\"weight\": 3418, \"source\": 1, \"target\": 8}, {\"weight\": 7356, \"source\": 1, \"target\": 6}, {\"weight\": 5950, \"source\": 1, \"target\": 5}, {\"weight\": 8163, \"source\": 1, \"target\": 2}, {\"weight\": 8232, \"source\": 1, \"target\": 7}, {\"weight\": 8488, \"source\": 2, \"target\": 3}, {\"weight\": 4805, \"source\": 2, \"target\": 4}, {\"weight\": 8759, \"source\": 2, \"target\": 8}, {\"weight\": 12641, \"source\": 2, \"target\": 6}, {\"weight\": 11058, \"source\": 2, \"target\": 5}, {\"weight\": 13366, \"source\": 2, \"target\": 7}, {\"weight\": 4865, \"source\": 3, \"target\": 4}, {\"weight\": 7486, \"source\": 3, \"target\": 8}, {\"weight\": 10739, \"source\": 3, \"target\": 6}, {\"weight\": 7435, \"source\": 3, \"target\": 5}, {\"weight\": 7998, \"source\": 3, \"target\": 7}, {\"weight\": 6061, \"source\": 4, \"target\": 8}, {\"weight\": 9550, \"source\": 4, \"target\": 6}, {\"weight\": 7037, \"source\": 4, \"target\": 5}, {\"weight\": 9345, \"source\": 4, \"target\": 7}, {\"weight\": 3127, \"source\": 5, \"target\": 8}, {\"weight\": 6208, \"source\": 5, \"target\": 6}, {\"weight\": 3106, \"source\": 5, \"target\": 7}, {\"weight\": 4361, \"source\": 6, \"target\": 8}, {\"weight\": 7101, \"source\": 6, \"target\": 7}, {\"weight\": 5191, \"source\": 7, \"target\": 8}]}",
"id": 158,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KLV, NNY, MGQ, MZR, AHU, YYT, SFL, ABZ\n- Travel distances (in kilometers) between each pair of airports:\nZFN to MGQ: 15366\nZFN to MZR: 13644\nZFN to ABZ: 8392\nZFN to YYT: 5431\nZFN to AHU: 9964\nZFN to NNY: 11828\nZFN to KLV: 10851\nZFN to SFL: 9793\nKLV to MGQ: 7898\nKLV to MZR: 5534\nKLV to ABZ: 3418\nKLV to YYT: 7356\nKLV to AHU: 5950\nKLV to NNY: 8163\nKLV to SFL: 8232\nNNY to MGQ: 8488\nNNY to MZR: 4805\nNNY to ABZ: 8759\nNNY to YYT: 12641\nNNY to AHU: 11058\nNNY to SFL: 13366\nMGQ to MZR: 4865\nMGQ to ABZ: 7486\nMGQ to YYT: 10739\nMGQ to AHU: 7435\nMGQ to SFL: 7998\nMZR to ABZ: 6061\nMZR to YYT: 9550\nMZR to AHU: 7037\nMZR to SFL: 9345\nAHU to ABZ: 3127\nAHU to YYT: 6208\nAHU to SFL: 3106\nYYT to ABZ: 4361\nYYT to SFL: 7101\nSFL to ABZ: 5191\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TMJ, ZAM, PSC, SVX, BSS, ACE, HLZ, YIW, PWE\n- Travel distances (in kilometers) between each pair of airports:\nTMJ to SVX: 2298\nTMJ to ZAM: 7259\nTMJ to ACE: 7935\nTMJ to PSC: 12452\nTMJ to YIW: 5282\nTMJ to HLZ: 14450\nTMJ to PWE: 8862\nTMJ to BSS: 13765\nZAM to SVX: 7829\nZAM to ACE: 14045\nZAM to PSC: 11640\nZAM to YIW: 2572\nZAM to HLZ: 8302\nZAM to PWE: 14812\nZAM to BSS: 19914\nPSC to SVX: 10620\nPSC to ACE: 9349\nPSC to YIW: 9882\nPSC to HLZ: 11612\nPSC to PWE: 15034\nPSC to BSS: 9421\nSVX to ACE: 6421\nSVX to YIW: 5598\nSVX to HLZ: 14938\nSVX to PWE: 7034\nSVX to BSS: 12329\nBSS to ACE: 5935\nBSS to YIW: 17903\nBSS to HLZ: 14645\nBSS to PWE: 16456\nACE to YIW: 12008\nACE to HLZ: 19252\nACE to PWE: 10549\nHLZ to YIW: 9954\nHLZ to PWE: 21970\nYIW to PWE: 12630\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63005,
"style": "rule"
}
|
{
"exact_answer": 63005,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TMJ\", \"id\": 0}, {\"name\": \"ZAM\", \"id\": 1}, {\"name\": \"PSC\", \"id\": 2}, {\"name\": \"SVX\", \"id\": 3}, {\"name\": \"BSS\", \"id\": 4}, {\"name\": \"ACE\", \"id\": 5}, {\"name\": \"HLZ\", \"id\": 6}, {\"name\": \"YIW\", \"id\": 7}, {\"name\": \"PWE\", \"id\": 8}], \"links\": [{\"weight\": 2298, \"source\": 0, \"target\": 3}, {\"weight\": 7259, \"source\": 0, \"target\": 1}, {\"weight\": 7935, \"source\": 0, \"target\": 5}, {\"weight\": 12452, \"source\": 0, \"target\": 2}, {\"weight\": 5282, \"source\": 0, \"target\": 7}, {\"weight\": 14450, \"source\": 0, \"target\": 6}, {\"weight\": 8862, \"source\": 0, \"target\": 8}, {\"weight\": 13765, \"source\": 0, \"target\": 4}, {\"weight\": 7829, \"source\": 1, \"target\": 3}, {\"weight\": 14045, \"source\": 1, \"target\": 5}, {\"weight\": 11640, \"source\": 1, \"target\": 2}, {\"weight\": 2572, \"source\": 1, \"target\": 7}, {\"weight\": 8302, \"source\": 1, \"target\": 6}, {\"weight\": 14812, \"source\": 1, \"target\": 8}, {\"weight\": 19914, \"source\": 1, \"target\": 4}, {\"weight\": 10620, \"source\": 2, \"target\": 3}, {\"weight\": 9349, \"source\": 2, \"target\": 5}, {\"weight\": 9882, \"source\": 2, \"target\": 7}, {\"weight\": 11612, \"source\": 2, \"target\": 6}, {\"weight\": 15034, \"source\": 2, \"target\": 8}, {\"weight\": 9421, \"source\": 2, \"target\": 4}, {\"weight\": 6421, \"source\": 3, \"target\": 5}, {\"weight\": 5598, \"source\": 3, \"target\": 7}, {\"weight\": 14938, \"source\": 3, \"target\": 6}, {\"weight\": 7034, \"source\": 3, \"target\": 8}, {\"weight\": 12329, \"source\": 3, \"target\": 4}, {\"weight\": 5935, \"source\": 4, \"target\": 5}, {\"weight\": 17903, \"source\": 4, \"target\": 7}, {\"weight\": 14645, \"source\": 4, \"target\": 6}, {\"weight\": 16456, \"source\": 4, \"target\": 8}, {\"weight\": 12008, \"source\": 5, \"target\": 7}, {\"weight\": 19252, \"source\": 5, \"target\": 6}, {\"weight\": 10549, \"source\": 5, \"target\": 8}, {\"weight\": 9954, \"source\": 6, \"target\": 7}, {\"weight\": 21970, \"source\": 6, \"target\": 8}, {\"weight\": 12630, \"source\": 7, \"target\": 8}]}",
"id": 159,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TMJ, ZAM, PSC, SVX, BSS, ACE, HLZ, YIW, PWE\n- Travel distances (in kilometers) between each pair of airports:\nTMJ to SVX: 2298\nTMJ to ZAM: 7259\nTMJ to ACE: 7935\nTMJ to PSC: 12452\nTMJ to YIW: 5282\nTMJ to HLZ: 14450\nTMJ to PWE: 8862\nTMJ to BSS: 13765\nZAM to SVX: 7829\nZAM to ACE: 14045\nZAM to PSC: 11640\nZAM to YIW: 2572\nZAM to HLZ: 8302\nZAM to PWE: 14812\nZAM to BSS: 19914\nPSC to SVX: 10620\nPSC to ACE: 9349\nPSC to YIW: 9882\nPSC to HLZ: 11612\nPSC to PWE: 15034\nPSC to BSS: 9421\nSVX to ACE: 6421\nSVX to YIW: 5598\nSVX to HLZ: 14938\nSVX to PWE: 7034\nSVX to BSS: 12329\nBSS to ACE: 5935\nBSS to YIW: 17903\nBSS to HLZ: 14645\nBSS to PWE: 16456\nACE to YIW: 12008\nACE to HLZ: 19252\nACE to PWE: 10549\nHLZ to YIW: 9954\nHLZ to PWE: 21970\nYIW to PWE: 12630\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PND, IZA, YAT, DED, MKY, CIC, RVT, SHB, SVP\n- Travel distances (in kilometers) between each pair of airports:\nPND to DED: 15058\nPND to IZA: 6827\nPND to SVP: 12634\nPND to MKY: 16011\nPND to SHB: 13456\nPND to RVT: 19266\nPND to CIC: 4470\nPND to YAT: 4289\nIZA to DED: 14861\nIZA to SVP: 7353\nIZA to MKY: 16018\nIZA to SHB: 18919\nIZA to RVT: 16915\nIZA to CIC: 10852\nIZA to YAT: 9340\nYAT to DED: 12960\nYAT to SVP: 12527\nYAT to MKY: 16279\nYAT to SHB: 11916\nYAT to RVT: 19485\nYAT to CIC: 4731\nDED to SVP: 8783\nDED to MKY: 9806\nDED to SHB: 6400\nDED to RVT: 8593\nDED to CIC: 13755\nMKY to SVP: 15312\nMKY to SHB: 7541\nMKY to RVT: 4490\nMKY to CIC: 12451\nCIC to SVP: 15549\nCIC to SHB: 9527\nCIC to RVT: 15706\nRVT to SVP: 11712\nRVT to SHB: 9582\nSHB to SVP: 14726\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62134,
"style": "rule"
}
|
{
"exact_answer": 62134,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PND\", \"id\": 0}, {\"name\": \"IZA\", \"id\": 1}, {\"name\": \"YAT\", \"id\": 2}, {\"name\": \"DED\", \"id\": 3}, {\"name\": \"MKY\", \"id\": 4}, {\"name\": \"CIC\", \"id\": 5}, {\"name\": \"RVT\", \"id\": 6}, {\"name\": \"SHB\", \"id\": 7}, {\"name\": \"SVP\", \"id\": 8}], \"links\": [{\"weight\": 15058, \"source\": 0, \"target\": 3}, {\"weight\": 6827, \"source\": 0, \"target\": 1}, {\"weight\": 12634, \"source\": 0, \"target\": 8}, {\"weight\": 16011, \"source\": 0, \"target\": 4}, {\"weight\": 13456, \"source\": 0, \"target\": 7}, {\"weight\": 19266, \"source\": 0, \"target\": 6}, {\"weight\": 4470, \"source\": 0, \"target\": 5}, {\"weight\": 4289, \"source\": 0, \"target\": 2}, {\"weight\": 14861, \"source\": 1, \"target\": 3}, {\"weight\": 7353, \"source\": 1, \"target\": 8}, {\"weight\": 16018, \"source\": 1, \"target\": 4}, {\"weight\": 18919, \"source\": 1, \"target\": 7}, {\"weight\": 16915, \"source\": 1, \"target\": 6}, {\"weight\": 10852, \"source\": 1, \"target\": 5}, {\"weight\": 9340, \"source\": 1, \"target\": 2}, {\"weight\": 12960, \"source\": 2, \"target\": 3}, {\"weight\": 12527, \"source\": 2, \"target\": 8}, {\"weight\": 16279, \"source\": 2, \"target\": 4}, {\"weight\": 11916, \"source\": 2, \"target\": 7}, {\"weight\": 19485, \"source\": 2, \"target\": 6}, {\"weight\": 4731, \"source\": 2, \"target\": 5}, {\"weight\": 8783, \"source\": 3, \"target\": 8}, {\"weight\": 9806, \"source\": 3, \"target\": 4}, {\"weight\": 6400, \"source\": 3, \"target\": 7}, {\"weight\": 8593, \"source\": 3, \"target\": 6}, {\"weight\": 13755, \"source\": 3, \"target\": 5}, {\"weight\": 15312, \"source\": 4, \"target\": 8}, {\"weight\": 7541, \"source\": 4, \"target\": 7}, {\"weight\": 4490, \"source\": 4, \"target\": 6}, {\"weight\": 12451, \"source\": 4, \"target\": 5}, {\"weight\": 15549, \"source\": 5, \"target\": 8}, {\"weight\": 9527, \"source\": 5, \"target\": 7}, {\"weight\": 15706, \"source\": 5, \"target\": 6}, {\"weight\": 11712, \"source\": 6, \"target\": 8}, {\"weight\": 9582, \"source\": 6, \"target\": 7}, {\"weight\": 14726, \"source\": 7, \"target\": 8}]}",
"id": 160,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PND, IZA, YAT, DED, MKY, CIC, RVT, SHB, SVP\n- Travel distances (in kilometers) between each pair of airports:\nPND to DED: 15058\nPND to IZA: 6827\nPND to SVP: 12634\nPND to MKY: 16011\nPND to SHB: 13456\nPND to RVT: 19266\nPND to CIC: 4470\nPND to YAT: 4289\nIZA to DED: 14861\nIZA to SVP: 7353\nIZA to MKY: 16018\nIZA to SHB: 18919\nIZA to RVT: 16915\nIZA to CIC: 10852\nIZA to YAT: 9340\nYAT to DED: 12960\nYAT to SVP: 12527\nYAT to MKY: 16279\nYAT to SHB: 11916\nYAT to RVT: 19485\nYAT to CIC: 4731\nDED to SVP: 8783\nDED to MKY: 9806\nDED to SHB: 6400\nDED to RVT: 8593\nDED to CIC: 13755\nMKY to SVP: 15312\nMKY to SHB: 7541\nMKY to RVT: 4490\nMKY to CIC: 12451\nCIC to SVP: 15549\nCIC to SHB: 9527\nCIC to RVT: 15706\nRVT to SVP: 11712\nRVT to SHB: 9582\nSHB to SVP: 14726\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, BPT, EJH, SYY, ELH, TPA, OOK, VLL, GKA\n- Travel distances (in kilometers) between each pair of airports:\nTRI to ELH: 1463\nTRI to TPA: 1010\nTRI to OOK: 6541\nTRI to BPT: 1974\nTRI to SYY: 6505\nTRI to GKA: 16193\nTRI to VLL: 7789\nTRI to EJH: 11850\nBPT to ELH: 2573\nBPT to TPA: 1927\nBPT to OOK: 6147\nBPT to SYY: 7930\nBPT to GKA: 15121\nBPT to VLL: 9356\nBPT to EJH: 13376\nEJH to ELH: 12387\nEJH to TPA: 12366\nEJH to OOK: 16020\nEJH to SYY: 6030\nEJH to GKA: 13288\nEJH to VLL: 5257\nSYY to ELH: 7324\nSYY to TPA: 7072\nSYY to OOK: 10584\nSYY to GKA: 15162\nSYY to VLL: 2550\nELH to TPA: 646\nELH to OOK: 7561\nELH to GKA: 16811\nELH to VLL: 8485\nTPA to OOK: 6963\nTPA to GKA: 16167\nTPA to VLL: 8347\nOOK to GKA: 14209\nOOK to VLL: 12527\nVLL to GKA: 16139\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51992,
"style": "rule"
}
|
{
"exact_answer": 51992,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRI\", \"id\": 0}, {\"name\": \"BPT\", \"id\": 1}, {\"name\": \"EJH\", \"id\": 2}, {\"name\": \"SYY\", \"id\": 3}, {\"name\": \"ELH\", \"id\": 4}, {\"name\": \"TPA\", \"id\": 5}, {\"name\": \"OOK\", \"id\": 6}, {\"name\": \"VLL\", \"id\": 7}, {\"name\": \"GKA\", \"id\": 8}], \"links\": [{\"weight\": 1463, \"source\": 0, \"target\": 4}, {\"weight\": 1010, \"source\": 0, \"target\": 5}, {\"weight\": 6541, \"source\": 0, \"target\": 6}, {\"weight\": 1974, \"source\": 0, \"target\": 1}, {\"weight\": 6505, \"source\": 0, \"target\": 3}, {\"weight\": 16193, \"source\": 0, \"target\": 8}, {\"weight\": 7789, \"source\": 0, \"target\": 7}, {\"weight\": 11850, \"source\": 0, \"target\": 2}, {\"weight\": 2573, \"source\": 1, \"target\": 4}, {\"weight\": 1927, \"source\": 1, \"target\": 5}, {\"weight\": 6147, \"source\": 1, \"target\": 6}, {\"weight\": 7930, \"source\": 1, \"target\": 3}, {\"weight\": 15121, \"source\": 1, \"target\": 8}, {\"weight\": 9356, \"source\": 1, \"target\": 7}, {\"weight\": 13376, \"source\": 1, \"target\": 2}, {\"weight\": 12387, \"source\": 2, \"target\": 4}, {\"weight\": 12366, \"source\": 2, \"target\": 5}, {\"weight\": 16020, \"source\": 2, \"target\": 6}, {\"weight\": 6030, \"source\": 2, \"target\": 3}, {\"weight\": 13288, \"source\": 2, \"target\": 8}, {\"weight\": 5257, \"source\": 2, \"target\": 7}, {\"weight\": 7324, \"source\": 3, \"target\": 4}, {\"weight\": 7072, \"source\": 3, \"target\": 5}, {\"weight\": 10584, \"source\": 3, \"target\": 6}, {\"weight\": 15162, \"source\": 3, \"target\": 8}, {\"weight\": 2550, \"source\": 3, \"target\": 7}, {\"weight\": 646, \"source\": 4, \"target\": 5}, {\"weight\": 7561, \"source\": 4, \"target\": 6}, {\"weight\": 16811, \"source\": 4, \"target\": 8}, {\"weight\": 8485, \"source\": 4, \"target\": 7}, {\"weight\": 6963, \"source\": 5, \"target\": 6}, {\"weight\": 16167, \"source\": 5, \"target\": 8}, {\"weight\": 8347, \"source\": 5, \"target\": 7}, {\"weight\": 14209, \"source\": 6, \"target\": 8}, {\"weight\": 12527, \"source\": 6, \"target\": 7}, {\"weight\": 16139, \"source\": 7, \"target\": 8}]}",
"id": 161,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, BPT, EJH, SYY, ELH, TPA, OOK, VLL, GKA\n- Travel distances (in kilometers) between each pair of airports:\nTRI to ELH: 1463\nTRI to TPA: 1010\nTRI to OOK: 6541\nTRI to BPT: 1974\nTRI to SYY: 6505\nTRI to GKA: 16193\nTRI to VLL: 7789\nTRI to EJH: 11850\nBPT to ELH: 2573\nBPT to TPA: 1927\nBPT to OOK: 6147\nBPT to SYY: 7930\nBPT to GKA: 15121\nBPT to VLL: 9356\nBPT to EJH: 13376\nEJH to ELH: 12387\nEJH to TPA: 12366\nEJH to OOK: 16020\nEJH to SYY: 6030\nEJH to GKA: 13288\nEJH to VLL: 5257\nSYY to ELH: 7324\nSYY to TPA: 7072\nSYY to OOK: 10584\nSYY to GKA: 15162\nSYY to VLL: 2550\nELH to TPA: 646\nELH to OOK: 7561\nELH to GKA: 16811\nELH to VLL: 8485\nTPA to OOK: 6963\nTPA to GKA: 16167\nTPA to VLL: 8347\nOOK to GKA: 14209\nOOK to VLL: 12527\nVLL to GKA: 16139\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADE, GHE, RBR, BTV, BHI, CPD, CXH, BQS, JFK\n- Travel distances (in kilometers) between each pair of airports:\nADE to JFK: 11389\nADE to GHE: 14868\nADE to BHI: 13188\nADE to BTV: 11805\nADE to RBR: 13801\nADE to BQS: 8427\nADE to CXH: 13693\nADE to CPD: 13105\nGHE to JFK: 4247\nGHE to BHI: 6998\nGHE to BTV: 4666\nGHE to RBR: 4975\nGHE to BQS: 15778\nGHE to CXH: 6441\nGHE to CPD: 18971\nRBR to JFK: 6487\nRBR to BHI: 4718\nRBR to BTV: 6916\nRBR to BQS: 18167\nRBR to CXH: 9707\nRBR to CPD: 18546\nBTV to JFK: 429\nBTV to BHI: 9961\nBTV to BQS: 13094\nBTV to CXH: 4186\nBTV to CPD: 17927\nBHI to JFK: 9543\nBHI to BQS: 19657\nBHI to CXH: 12015\nBHI to CPD: 14968\nCPD to JFK: 17875\nCPD to BQS: 10722\nCPD to CXH: 14462\nCXH to JFK: 4121\nCXH to BQS: 9851\nBQS to JFK: 12765\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64906,
"style": "rule"
}
|
{
"exact_answer": 64906,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ADE\", \"id\": 0}, {\"name\": \"GHE\", \"id\": 1}, {\"name\": \"RBR\", \"id\": 2}, {\"name\": \"BTV\", \"id\": 3}, {\"name\": \"BHI\", \"id\": 4}, {\"name\": \"CPD\", \"id\": 5}, {\"name\": \"CXH\", \"id\": 6}, {\"name\": \"BQS\", \"id\": 7}, {\"name\": \"JFK\", \"id\": 8}], \"links\": [{\"weight\": 11389, \"source\": 0, \"target\": 8}, {\"weight\": 14868, \"source\": 0, \"target\": 1}, {\"weight\": 13188, \"source\": 0, \"target\": 4}, {\"weight\": 11805, \"source\": 0, \"target\": 3}, {\"weight\": 13801, \"source\": 0, \"target\": 2}, {\"weight\": 8427, \"source\": 0, \"target\": 7}, {\"weight\": 13693, \"source\": 0, \"target\": 6}, {\"weight\": 13105, \"source\": 0, \"target\": 5}, {\"weight\": 4247, \"source\": 1, \"target\": 8}, {\"weight\": 6998, \"source\": 1, \"target\": 4}, {\"weight\": 4666, \"source\": 1, \"target\": 3}, {\"weight\": 4975, \"source\": 1, \"target\": 2}, {\"weight\": 15778, \"source\": 1, \"target\": 7}, {\"weight\": 6441, \"source\": 1, \"target\": 6}, {\"weight\": 18971, \"source\": 1, \"target\": 5}, {\"weight\": 6487, \"source\": 2, \"target\": 8}, {\"weight\": 4718, \"source\": 2, \"target\": 4}, {\"weight\": 6916, \"source\": 2, \"target\": 3}, {\"weight\": 18167, \"source\": 2, \"target\": 7}, {\"weight\": 9707, \"source\": 2, \"target\": 6}, {\"weight\": 18546, \"source\": 2, \"target\": 5}, {\"weight\": 429, \"source\": 3, \"target\": 8}, {\"weight\": 9961, \"source\": 3, \"target\": 4}, {\"weight\": 13094, \"source\": 3, \"target\": 7}, {\"weight\": 4186, \"source\": 3, \"target\": 6}, {\"weight\": 17927, \"source\": 3, \"target\": 5}, {\"weight\": 9543, \"source\": 4, \"target\": 8}, {\"weight\": 19657, \"source\": 4, \"target\": 7}, {\"weight\": 12015, \"source\": 4, \"target\": 6}, {\"weight\": 14968, \"source\": 4, \"target\": 5}, {\"weight\": 17875, \"source\": 5, \"target\": 8}, {\"weight\": 10722, \"source\": 5, \"target\": 7}, {\"weight\": 14462, \"source\": 5, \"target\": 6}, {\"weight\": 4121, \"source\": 6, \"target\": 8}, {\"weight\": 9851, \"source\": 6, \"target\": 7}, {\"weight\": 12765, \"source\": 7, \"target\": 8}]}",
"id": 162,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADE, GHE, RBR, BTV, BHI, CPD, CXH, BQS, JFK\n- Travel distances (in kilometers) between each pair of airports:\nADE to JFK: 11389\nADE to GHE: 14868\nADE to BHI: 13188\nADE to BTV: 11805\nADE to RBR: 13801\nADE to BQS: 8427\nADE to CXH: 13693\nADE to CPD: 13105\nGHE to JFK: 4247\nGHE to BHI: 6998\nGHE to BTV: 4666\nGHE to RBR: 4975\nGHE to BQS: 15778\nGHE to CXH: 6441\nGHE to CPD: 18971\nRBR to JFK: 6487\nRBR to BHI: 4718\nRBR to BTV: 6916\nRBR to BQS: 18167\nRBR to CXH: 9707\nRBR to CPD: 18546\nBTV to JFK: 429\nBTV to BHI: 9961\nBTV to BQS: 13094\nBTV to CXH: 4186\nBTV to CPD: 17927\nBHI to JFK: 9543\nBHI to BQS: 19657\nBHI to CXH: 12015\nBHI to CPD: 14968\nCPD to JFK: 17875\nCPD to BQS: 10722\nCPD to CXH: 14462\nCXH to JFK: 4121\nCXH to BQS: 9851\nBQS to JFK: 12765\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, ECP, AJU, KAA, SHA, CED, GMR, NOU, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nTRI to SHA: 12718\nTRI to AJU: 7633\nTRI to ECP: 751\nTRI to KCZ: 11904\nTRI to NOU: 13646\nTRI to KAA: 13482\nTRI to GMR: 11753\nTRI to CED: 17056\nECP to SHA: 12941\nECP to AJU: 7853\nECP to KCZ: 11970\nECP to NOU: 13303\nECP to KAA: 13757\nECP to GMR: 11410\nECP to CED: 16831\nAJU to SHA: 16966\nAJU to KCZ: 17828\nAJU to NOU: 15761\nAJU to KAA: 10111\nAJU to GMR: 13902\nAJU to CED: 17298\nKAA to SHA: 11556\nKAA to KCZ: 13147\nKAA to NOU: 14843\nKAA to GMR: 20642\nKAA to CED: 12809\nSHA to KCZ: 2107\nSHA to NOU: 8779\nSHA to GMR: 13248\nSHA to CED: 8211\nCED to KCZ: 9219\nCED to NOU: 3615\nCED to GMR: 9488\nGMR to KCZ: 11771\nGMR to NOU: 6284\nNOU to KCZ: 7651\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62686,
"style": "rule"
}
|
{
"exact_answer": 62686,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRI\", \"id\": 0}, {\"name\": \"ECP\", \"id\": 1}, {\"name\": \"AJU\", \"id\": 2}, {\"name\": \"KAA\", \"id\": 3}, {\"name\": \"SHA\", \"id\": 4}, {\"name\": \"CED\", \"id\": 5}, {\"name\": \"GMR\", \"id\": 6}, {\"name\": \"NOU\", \"id\": 7}, {\"name\": \"KCZ\", \"id\": 8}], \"links\": [{\"weight\": 12718, \"source\": 0, \"target\": 4}, {\"weight\": 7633, \"source\": 0, \"target\": 2}, {\"weight\": 751, \"source\": 0, \"target\": 1}, {\"weight\": 11904, \"source\": 0, \"target\": 8}, {\"weight\": 13646, \"source\": 0, \"target\": 7}, {\"weight\": 13482, \"source\": 0, \"target\": 3}, {\"weight\": 11753, \"source\": 0, \"target\": 6}, {\"weight\": 17056, \"source\": 0, \"target\": 5}, {\"weight\": 12941, \"source\": 1, \"target\": 4}, {\"weight\": 7853, \"source\": 1, \"target\": 2}, {\"weight\": 11970, \"source\": 1, \"target\": 8}, {\"weight\": 13303, \"source\": 1, \"target\": 7}, {\"weight\": 13757, \"source\": 1, \"target\": 3}, {\"weight\": 11410, \"source\": 1, \"target\": 6}, {\"weight\": 16831, \"source\": 1, \"target\": 5}, {\"weight\": 16966, \"source\": 2, \"target\": 4}, {\"weight\": 17828, \"source\": 2, \"target\": 8}, {\"weight\": 15761, \"source\": 2, \"target\": 7}, {\"weight\": 10111, \"source\": 2, \"target\": 3}, {\"weight\": 13902, \"source\": 2, \"target\": 6}, {\"weight\": 17298, \"source\": 2, \"target\": 5}, {\"weight\": 11556, \"source\": 3, \"target\": 4}, {\"weight\": 13147, \"source\": 3, \"target\": 8}, {\"weight\": 14843, \"source\": 3, \"target\": 7}, {\"weight\": 20642, \"source\": 3, \"target\": 6}, {\"weight\": 12809, \"source\": 3, \"target\": 5}, {\"weight\": 2107, \"source\": 4, \"target\": 8}, {\"weight\": 8779, \"source\": 4, \"target\": 7}, {\"weight\": 13248, \"source\": 4, \"target\": 6}, {\"weight\": 8211, \"source\": 4, \"target\": 5}, {\"weight\": 9219, \"source\": 5, \"target\": 8}, {\"weight\": 3615, \"source\": 5, \"target\": 7}, {\"weight\": 9488, \"source\": 5, \"target\": 6}, {\"weight\": 11771, \"source\": 6, \"target\": 8}, {\"weight\": 6284, \"source\": 6, \"target\": 7}, {\"weight\": 7651, \"source\": 7, \"target\": 8}]}",
"id": 163,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, ECP, AJU, KAA, SHA, CED, GMR, NOU, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nTRI to SHA: 12718\nTRI to AJU: 7633\nTRI to ECP: 751\nTRI to KCZ: 11904\nTRI to NOU: 13646\nTRI to KAA: 13482\nTRI to GMR: 11753\nTRI to CED: 17056\nECP to SHA: 12941\nECP to AJU: 7853\nECP to KCZ: 11970\nECP to NOU: 13303\nECP to KAA: 13757\nECP to GMR: 11410\nECP to CED: 16831\nAJU to SHA: 16966\nAJU to KCZ: 17828\nAJU to NOU: 15761\nAJU to KAA: 10111\nAJU to GMR: 13902\nAJU to CED: 17298\nKAA to SHA: 11556\nKAA to KCZ: 13147\nKAA to NOU: 14843\nKAA to GMR: 20642\nKAA to CED: 12809\nSHA to KCZ: 2107\nSHA to NOU: 8779\nSHA to GMR: 13248\nSHA to CED: 8211\nCED to KCZ: 9219\nCED to NOU: 3615\nCED to GMR: 9488\nGMR to KCZ: 11771\nGMR to NOU: 6284\nNOU to KCZ: 7651\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKE, IZA, KGC, PHB, KSE, HNL, TCB, AFZ, NJF\n- Travel distances (in kilometers) between each pair of airports:\nLKE to TCB: 4670\nLKE to KSE: 14477\nLKE to HNL: 4327\nLKE to IZA: 11018\nLKE to PHB: 10022\nLKE to AFZ: 12567\nLKE to NJF: 11687\nLKE to KGC: 13624\nIZA to TCB: 7164\nIZA to KSE: 9617\nIZA to HNL: 14187\nIZA to PHB: 2408\nIZA to AFZ: 13271\nIZA to NJF: 11816\nIZA to KGC: 15902\nKGC to TCB: 17179\nKGC to KSE: 12004\nKGC to HNL: 9297\nKGC to PHB: 17590\nKGC to AFZ: 12868\nKGC to NJF: 12435\nPHB to TCB: 5929\nPHB to KSE: 9842\nPHB to HNL: 13420\nPHB to AFZ: 11556\nPHB to NJF: 10443\nKSE to TCB: 14175\nKSE to HNL: 17938\nKSE to AFZ: 5274\nKSE to NJF: 4382\nHNL to TCB: 8107\nHNL to AFZ: 14394\nHNL to NJF: 14508\nTCB to AFZ: 12641\nTCB to NJF: 11738\nAFZ to NJF: 1810\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55308,
"style": "rule"
}
|
{
"exact_answer": 55308,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKE\", \"id\": 0}, {\"name\": \"IZA\", \"id\": 1}, {\"name\": \"KGC\", \"id\": 2}, {\"name\": \"PHB\", \"id\": 3}, {\"name\": \"KSE\", \"id\": 4}, {\"name\": \"HNL\", \"id\": 5}, {\"name\": \"TCB\", \"id\": 6}, {\"name\": \"AFZ\", \"id\": 7}, {\"name\": \"NJF\", \"id\": 8}], \"links\": [{\"weight\": 4670, \"source\": 0, \"target\": 6}, {\"weight\": 14477, \"source\": 0, \"target\": 4}, {\"weight\": 4327, \"source\": 0, \"target\": 5}, {\"weight\": 11018, \"source\": 0, \"target\": 1}, {\"weight\": 10022, \"source\": 0, \"target\": 3}, {\"weight\": 12567, \"source\": 0, \"target\": 7}, {\"weight\": 11687, \"source\": 0, \"target\": 8}, {\"weight\": 13624, \"source\": 0, \"target\": 2}, {\"weight\": 7164, \"source\": 1, \"target\": 6}, {\"weight\": 9617, \"source\": 1, \"target\": 4}, {\"weight\": 14187, \"source\": 1, \"target\": 5}, {\"weight\": 2408, \"source\": 1, \"target\": 3}, {\"weight\": 13271, \"source\": 1, \"target\": 7}, {\"weight\": 11816, \"source\": 1, \"target\": 8}, {\"weight\": 15902, \"source\": 1, \"target\": 2}, {\"weight\": 17179, \"source\": 2, \"target\": 6}, {\"weight\": 12004, \"source\": 2, \"target\": 4}, {\"weight\": 9297, \"source\": 2, \"target\": 5}, {\"weight\": 17590, \"source\": 2, \"target\": 3}, {\"weight\": 12868, \"source\": 2, \"target\": 7}, {\"weight\": 12435, \"source\": 2, \"target\": 8}, {\"weight\": 5929, \"source\": 3, \"target\": 6}, {\"weight\": 9842, \"source\": 3, \"target\": 4}, {\"weight\": 13420, \"source\": 3, \"target\": 5}, {\"weight\": 11556, \"source\": 3, \"target\": 7}, {\"weight\": 10443, \"source\": 3, \"target\": 8}, {\"weight\": 14175, \"source\": 4, \"target\": 6}, {\"weight\": 17938, \"source\": 4, \"target\": 5}, {\"weight\": 5274, \"source\": 4, \"target\": 7}, {\"weight\": 4382, \"source\": 4, \"target\": 8}, {\"weight\": 8107, \"source\": 5, \"target\": 6}, {\"weight\": 14394, \"source\": 5, \"target\": 7}, {\"weight\": 14508, \"source\": 5, \"target\": 8}, {\"weight\": 12641, \"source\": 6, \"target\": 7}, {\"weight\": 11738, \"source\": 6, \"target\": 8}, {\"weight\": 1810, \"source\": 7, \"target\": 8}]}",
"id": 164,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKE, IZA, KGC, PHB, KSE, HNL, TCB, AFZ, NJF\n- Travel distances (in kilometers) between each pair of airports:\nLKE to TCB: 4670\nLKE to KSE: 14477\nLKE to HNL: 4327\nLKE to IZA: 11018\nLKE to PHB: 10022\nLKE to AFZ: 12567\nLKE to NJF: 11687\nLKE to KGC: 13624\nIZA to TCB: 7164\nIZA to KSE: 9617\nIZA to HNL: 14187\nIZA to PHB: 2408\nIZA to AFZ: 13271\nIZA to NJF: 11816\nIZA to KGC: 15902\nKGC to TCB: 17179\nKGC to KSE: 12004\nKGC to HNL: 9297\nKGC to PHB: 17590\nKGC to AFZ: 12868\nKGC to NJF: 12435\nPHB to TCB: 5929\nPHB to KSE: 9842\nPHB to HNL: 13420\nPHB to AFZ: 11556\nPHB to NJF: 10443\nKSE to TCB: 14175\nKSE to HNL: 17938\nKSE to AFZ: 5274\nKSE to NJF: 4382\nHNL to TCB: 8107\nHNL to AFZ: 14394\nHNL to NJF: 14508\nTCB to AFZ: 12641\nTCB to NJF: 11738\nAFZ to NJF: 1810\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADF, CEK, CTC, GIB, CWA, TAK, INB, NUP, LEC\n- Travel distances (in kilometers) between each pair of airports:\nADF to CEK: 3673\nADF to NUP: 13854\nADF to TAK: 9162\nADF to CWA: 9986\nADF to GIB: 5085\nADF to LEC: 10813\nADF to CTC: 14125\nADF to INB: 11853\nCEK to NUP: 13461\nCEK to TAK: 6006\nCEK to CWA: 9748\nCEK to GIB: 5731\nCEK to LEC: 12174\nCEK to CTC: 15929\nCEK to INB: 11857\nCTC to NUP: 15114\nCTC to TAK: 20156\nCTC to CWA: 10448\nCTC to GIB: 13829\nCTC to LEC: 4427\nCTC to INB: 7782\nGIB to NUP: 12389\nGIB to TAK: 11379\nGIB to CWA: 8341\nGIB to LEC: 10079\nGIB to INB: 10210\nCWA to NUP: 4995\nCWA to TAK: 10437\nCWA to LEC: 8849\nCWA to INB: 3209\nTAK to NUP: 11255\nTAK to LEC: 17988\nTAK to INB: 12947\nINB to NUP: 7600\nINB to LEC: 7366\nNUP to LEC: 13711\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56511,
"style": "rule"
}
|
{
"exact_answer": 56511,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ADF\", \"id\": 0}, {\"name\": \"CEK\", \"id\": 1}, {\"name\": \"CTC\", \"id\": 2}, {\"name\": \"GIB\", \"id\": 3}, {\"name\": \"CWA\", \"id\": 4}, {\"name\": \"TAK\", \"id\": 5}, {\"name\": \"INB\", \"id\": 6}, {\"name\": \"NUP\", \"id\": 7}, {\"name\": \"LEC\", \"id\": 8}], \"links\": [{\"weight\": 3673, \"source\": 0, \"target\": 1}, {\"weight\": 13854, \"source\": 0, \"target\": 7}, {\"weight\": 9162, \"source\": 0, \"target\": 5}, {\"weight\": 9986, \"source\": 0, \"target\": 4}, {\"weight\": 5085, \"source\": 0, \"target\": 3}, {\"weight\": 10813, \"source\": 0, \"target\": 8}, {\"weight\": 14125, \"source\": 0, \"target\": 2}, {\"weight\": 11853, \"source\": 0, \"target\": 6}, {\"weight\": 13461, \"source\": 1, \"target\": 7}, {\"weight\": 6006, \"source\": 1, \"target\": 5}, {\"weight\": 9748, \"source\": 1, \"target\": 4}, {\"weight\": 5731, \"source\": 1, \"target\": 3}, {\"weight\": 12174, \"source\": 1, \"target\": 8}, {\"weight\": 15929, \"source\": 1, \"target\": 2}, {\"weight\": 11857, \"source\": 1, \"target\": 6}, {\"weight\": 15114, \"source\": 2, \"target\": 7}, {\"weight\": 20156, \"source\": 2, \"target\": 5}, {\"weight\": 10448, \"source\": 2, \"target\": 4}, {\"weight\": 13829, \"source\": 2, \"target\": 3}, {\"weight\": 4427, \"source\": 2, \"target\": 8}, {\"weight\": 7782, \"source\": 2, \"target\": 6}, {\"weight\": 12389, \"source\": 3, \"target\": 7}, {\"weight\": 11379, \"source\": 3, \"target\": 5}, {\"weight\": 8341, \"source\": 3, \"target\": 4}, {\"weight\": 10079, \"source\": 3, \"target\": 8}, {\"weight\": 10210, \"source\": 3, \"target\": 6}, {\"weight\": 4995, \"source\": 4, \"target\": 7}, {\"weight\": 10437, \"source\": 4, \"target\": 5}, {\"weight\": 8849, \"source\": 4, \"target\": 8}, {\"weight\": 3209, \"source\": 4, \"target\": 6}, {\"weight\": 11255, \"source\": 5, \"target\": 7}, {\"weight\": 17988, \"source\": 5, \"target\": 8}, {\"weight\": 12947, \"source\": 5, \"target\": 6}, {\"weight\": 7600, \"source\": 6, \"target\": 7}, {\"weight\": 7366, \"source\": 6, \"target\": 8}, {\"weight\": 13711, \"source\": 7, \"target\": 8}]}",
"id": 165,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADF, CEK, CTC, GIB, CWA, TAK, INB, NUP, LEC\n- Travel distances (in kilometers) between each pair of airports:\nADF to CEK: 3673\nADF to NUP: 13854\nADF to TAK: 9162\nADF to CWA: 9986\nADF to GIB: 5085\nADF to LEC: 10813\nADF to CTC: 14125\nADF to INB: 11853\nCEK to NUP: 13461\nCEK to TAK: 6006\nCEK to CWA: 9748\nCEK to GIB: 5731\nCEK to LEC: 12174\nCEK to CTC: 15929\nCEK to INB: 11857\nCTC to NUP: 15114\nCTC to TAK: 20156\nCTC to CWA: 10448\nCTC to GIB: 13829\nCTC to LEC: 4427\nCTC to INB: 7782\nGIB to NUP: 12389\nGIB to TAK: 11379\nGIB to CWA: 8341\nGIB to LEC: 10079\nGIB to INB: 10210\nCWA to NUP: 4995\nCWA to TAK: 10437\nCWA to LEC: 8849\nCWA to INB: 3209\nTAK to NUP: 11255\nTAK to LEC: 17988\nTAK to INB: 12947\nINB to NUP: 7600\nINB to LEC: 7366\nNUP to LEC: 13711\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RGN, SOM, KWA, LAZ, EWB, YUM, PKE, WKJ, SPI\n- Travel distances (in kilometers) between each pair of airports:\nRGN to EWB: 14034\nRGN to SPI: 14085\nRGN to YUM: 13661\nRGN to LAZ: 16880\nRGN to WKJ: 5454\nRGN to KWA: 8149\nRGN to SOM: 16896\nRGN to PKE: 8411\nSOM to EWB: 4071\nSOM to SPI: 4350\nSOM to YUM: 5876\nSOM to LAZ: 5551\nSOM to WKJ: 15559\nSOM to KWA: 14371\nSOM to PKE: 16894\nKWA to EWB: 12338\nKWA to SPI: 11193\nKWA to YUM: 8588\nKWA to LAZ: 18728\nKWA to WKJ: 6352\nKWA to PKE: 5770\nLAZ to EWB: 8369\nLAZ to SPI: 8604\nLAZ to YUM: 10232\nLAZ to WKJ: 18300\nLAZ to PKE: 16174\nEWB to SPI: 1703\nEWB to YUM: 3989\nEWB to WKJ: 11994\nEWB to PKE: 16570\nYUM to SPI: 2663\nYUM to WKJ: 10213\nYUM to PKE: 12727\nPKE to SPI: 15108\nPKE to WKJ: 9196\nWKJ to SPI: 11432\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58967,
"style": "rule"
}
|
{
"exact_answer": 58967,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RGN\", \"id\": 0}, {\"name\": \"SOM\", \"id\": 1}, {\"name\": \"KWA\", \"id\": 2}, {\"name\": \"LAZ\", \"id\": 3}, {\"name\": \"EWB\", \"id\": 4}, {\"name\": \"YUM\", \"id\": 5}, {\"name\": \"PKE\", \"id\": 6}, {\"name\": \"WKJ\", \"id\": 7}, {\"name\": \"SPI\", \"id\": 8}], \"links\": [{\"weight\": 14034, \"source\": 0, \"target\": 4}, {\"weight\": 14085, \"source\": 0, \"target\": 8}, {\"weight\": 13661, \"source\": 0, \"target\": 5}, {\"weight\": 16880, \"source\": 0, \"target\": 3}, {\"weight\": 5454, \"source\": 0, \"target\": 7}, {\"weight\": 8149, \"source\": 0, \"target\": 2}, {\"weight\": 16896, \"source\": 0, \"target\": 1}, {\"weight\": 8411, \"source\": 0, \"target\": 6}, {\"weight\": 4071, \"source\": 1, \"target\": 4}, {\"weight\": 4350, \"source\": 1, \"target\": 8}, {\"weight\": 5876, \"source\": 1, \"target\": 5}, {\"weight\": 5551, \"source\": 1, \"target\": 3}, {\"weight\": 15559, \"source\": 1, \"target\": 7}, {\"weight\": 14371, \"source\": 1, \"target\": 2}, {\"weight\": 16894, \"source\": 1, \"target\": 6}, {\"weight\": 12338, \"source\": 2, \"target\": 4}, {\"weight\": 11193, \"source\": 2, \"target\": 8}, {\"weight\": 8588, \"source\": 2, \"target\": 5}, {\"weight\": 18728, \"source\": 2, \"target\": 3}, {\"weight\": 6352, \"source\": 2, \"target\": 7}, {\"weight\": 5770, \"source\": 2, \"target\": 6}, {\"weight\": 8369, \"source\": 3, \"target\": 4}, {\"weight\": 8604, \"source\": 3, \"target\": 8}, {\"weight\": 10232, \"source\": 3, \"target\": 5}, {\"weight\": 18300, \"source\": 3, \"target\": 7}, {\"weight\": 16174, \"source\": 3, \"target\": 6}, {\"weight\": 1703, \"source\": 4, \"target\": 8}, {\"weight\": 3989, \"source\": 4, \"target\": 5}, {\"weight\": 11994, \"source\": 4, \"target\": 7}, {\"weight\": 16570, \"source\": 4, \"target\": 6}, {\"weight\": 2663, \"source\": 5, \"target\": 8}, {\"weight\": 10213, \"source\": 5, \"target\": 7}, {\"weight\": 12727, \"source\": 5, \"target\": 6}, {\"weight\": 15108, \"source\": 6, \"target\": 8}, {\"weight\": 9196, \"source\": 6, \"target\": 7}, {\"weight\": 11432, \"source\": 7, \"target\": 8}]}",
"id": 166,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RGN, SOM, KWA, LAZ, EWB, YUM, PKE, WKJ, SPI\n- Travel distances (in kilometers) between each pair of airports:\nRGN to EWB: 14034\nRGN to SPI: 14085\nRGN to YUM: 13661\nRGN to LAZ: 16880\nRGN to WKJ: 5454\nRGN to KWA: 8149\nRGN to SOM: 16896\nRGN to PKE: 8411\nSOM to EWB: 4071\nSOM to SPI: 4350\nSOM to YUM: 5876\nSOM to LAZ: 5551\nSOM to WKJ: 15559\nSOM to KWA: 14371\nSOM to PKE: 16894\nKWA to EWB: 12338\nKWA to SPI: 11193\nKWA to YUM: 8588\nKWA to LAZ: 18728\nKWA to WKJ: 6352\nKWA to PKE: 5770\nLAZ to EWB: 8369\nLAZ to SPI: 8604\nLAZ to YUM: 10232\nLAZ to WKJ: 18300\nLAZ to PKE: 16174\nEWB to SPI: 1703\nEWB to YUM: 3989\nEWB to WKJ: 11994\nEWB to PKE: 16570\nYUM to SPI: 2663\nYUM to WKJ: 10213\nYUM to PKE: 12727\nPKE to SPI: 15108\nPKE to WKJ: 9196\nWKJ to SPI: 11432\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LCR, GIZ, RDC, WWP, MGB, SAL, TDD, ATW, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nLCR to SHJ: 14486\nLCR to TDD: 3641\nLCR to SAL: 2698\nLCR to ATW: 5412\nLCR to WWP: 8608\nLCR to RDC: 5065\nLCR to GIZ: 13821\nLCR to MGB: 17447\nGIZ to SHJ: 1880\nGIZ to TDD: 13674\nGIZ to SAL: 13822\nGIZ to ATW: 11902\nGIZ to WWP: 14155\nGIZ to RDC: 11909\nGIZ to MGB: 13242\nRDC to SHJ: 12983\nRDC to TDD: 4814\nRDC to SAL: 5746\nRDC to ATW: 7262\nRDC to WWP: 10899\nRDC to MGB: 17353\nWWP to SHJ: 13710\nWWP to TDD: 10657\nWWP to SAL: 6176\nWWP to ATW: 3835\nWWP to MGB: 14752\nMGB to SHJ: 11589\nMGB to TDD: 14722\nMGB to SAL: 16848\nMGB to ATW: 15919\nSAL to SHJ: 14258\nSAL to TDD: 4603\nSAL to ATW: 3433\nTDD to SHJ: 14725\nTDD to ATW: 7461\nATW to SHJ: 11901\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58551,
"style": "rule"
}
|
{
"exact_answer": 58551,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LCR\", \"id\": 0}, {\"name\": \"GIZ\", \"id\": 1}, {\"name\": \"RDC\", \"id\": 2}, {\"name\": \"WWP\", \"id\": 3}, {\"name\": \"MGB\", \"id\": 4}, {\"name\": \"SAL\", \"id\": 5}, {\"name\": \"TDD\", \"id\": 6}, {\"name\": \"ATW\", \"id\": 7}, {\"name\": \"SHJ\", \"id\": 8}], \"links\": [{\"weight\": 14486, \"source\": 0, \"target\": 8}, {\"weight\": 3641, \"source\": 0, \"target\": 6}, {\"weight\": 2698, \"source\": 0, \"target\": 5}, {\"weight\": 5412, \"source\": 0, \"target\": 7}, {\"weight\": 8608, \"source\": 0, \"target\": 3}, {\"weight\": 5065, \"source\": 0, \"target\": 2}, {\"weight\": 13821, \"source\": 0, \"target\": 1}, {\"weight\": 17447, \"source\": 0, \"target\": 4}, {\"weight\": 1880, \"source\": 1, \"target\": 8}, {\"weight\": 13674, \"source\": 1, \"target\": 6}, {\"weight\": 13822, \"source\": 1, \"target\": 5}, {\"weight\": 11902, \"source\": 1, \"target\": 7}, {\"weight\": 14155, \"source\": 1, \"target\": 3}, {\"weight\": 11909, \"source\": 1, \"target\": 2}, {\"weight\": 13242, \"source\": 1, \"target\": 4}, {\"weight\": 12983, \"source\": 2, \"target\": 8}, {\"weight\": 4814, \"source\": 2, \"target\": 6}, {\"weight\": 5746, \"source\": 2, \"target\": 5}, {\"weight\": 7262, \"source\": 2, \"target\": 7}, {\"weight\": 10899, \"source\": 2, \"target\": 3}, {\"weight\": 17353, \"source\": 2, \"target\": 4}, {\"weight\": 13710, \"source\": 3, \"target\": 8}, {\"weight\": 10657, \"source\": 3, \"target\": 6}, {\"weight\": 6176, \"source\": 3, \"target\": 5}, {\"weight\": 3835, \"source\": 3, \"target\": 7}, {\"weight\": 14752, \"source\": 3, \"target\": 4}, {\"weight\": 11589, \"source\": 4, \"target\": 8}, {\"weight\": 14722, \"source\": 4, \"target\": 6}, {\"weight\": 16848, \"source\": 4, \"target\": 5}, {\"weight\": 15919, \"source\": 4, \"target\": 7}, {\"weight\": 14258, \"source\": 5, \"target\": 8}, {\"weight\": 4603, \"source\": 5, \"target\": 6}, {\"weight\": 3433, \"source\": 5, \"target\": 7}, {\"weight\": 14725, \"source\": 6, \"target\": 8}, {\"weight\": 7461, \"source\": 6, \"target\": 7}, {\"weight\": 11901, \"source\": 7, \"target\": 8}]}",
"id": 167,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LCR, GIZ, RDC, WWP, MGB, SAL, TDD, ATW, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nLCR to SHJ: 14486\nLCR to TDD: 3641\nLCR to SAL: 2698\nLCR to ATW: 5412\nLCR to WWP: 8608\nLCR to RDC: 5065\nLCR to GIZ: 13821\nLCR to MGB: 17447\nGIZ to SHJ: 1880\nGIZ to TDD: 13674\nGIZ to SAL: 13822\nGIZ to ATW: 11902\nGIZ to WWP: 14155\nGIZ to RDC: 11909\nGIZ to MGB: 13242\nRDC to SHJ: 12983\nRDC to TDD: 4814\nRDC to SAL: 5746\nRDC to ATW: 7262\nRDC to WWP: 10899\nRDC to MGB: 17353\nWWP to SHJ: 13710\nWWP to TDD: 10657\nWWP to SAL: 6176\nWWP to ATW: 3835\nWWP to MGB: 14752\nMGB to SHJ: 11589\nMGB to TDD: 14722\nMGB to SAL: 16848\nMGB to ATW: 15919\nSAL to SHJ: 14258\nSAL to TDD: 4603\nSAL to ATW: 3433\nTDD to SHJ: 14725\nTDD to ATW: 7461\nATW to SHJ: 11901\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, SFJ, THX, ZCL, KLN, BVB, HFE, KSQ, ZLT\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to KLN: 16386\nPSJ to KSQ: 8334\nPSJ to HFE: 4737\nPSJ to ZCL: 16596\nPSJ to BVB: 21742\nPSJ to SFJ: 15602\nPSJ to ZLT: 17601\nPSJ to THX: 9225\nSFJ to KLN: 10351\nSFJ to KSQ: 7786\nSFJ to HFE: 11392\nSFJ to ZCL: 9057\nSFJ to BVB: 11672\nSFJ to ZLT: 7299\nSFJ to THX: 9110\nTHX to KLN: 15104\nTHX to KSQ: 3857\nTHX to HFE: 4525\nTHX to ZCL: 14728\nTHX to BVB: 16218\nTHX to ZLT: 11190\nZCL to KLN: 6231\nZCL to KSQ: 13481\nZCL to HFE: 12636\nZCL to BVB: 6135\nZCL to ZLT: 4970\nKLN to KSQ: 14780\nKLN to HFE: 12244\nKLN to BVB: 11490\nKLN to ZLT: 7364\nBVB to KSQ: 14821\nBVB to HFE: 17828\nBVB to ZLT: 7717\nHFE to KSQ: 4847\nHFE to ZLT: 13284\nKSQ to ZLT: 9740\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64673,
"style": "rule"
}
|
{
"exact_answer": 64673,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PSJ\", \"id\": 0}, {\"name\": \"SFJ\", \"id\": 1}, {\"name\": \"THX\", \"id\": 2}, {\"name\": \"ZCL\", \"id\": 3}, {\"name\": \"KLN\", \"id\": 4}, {\"name\": \"BVB\", \"id\": 5}, {\"name\": \"HFE\", \"id\": 6}, {\"name\": \"KSQ\", \"id\": 7}, {\"name\": \"ZLT\", \"id\": 8}], \"links\": [{\"weight\": 16386, \"source\": 0, \"target\": 4}, {\"weight\": 8334, \"source\": 0, \"target\": 7}, {\"weight\": 4737, \"source\": 0, \"target\": 6}, {\"weight\": 16596, \"source\": 0, \"target\": 3}, {\"weight\": 21742, \"source\": 0, \"target\": 5}, {\"weight\": 15602, \"source\": 0, \"target\": 1}, {\"weight\": 17601, \"source\": 0, \"target\": 8}, {\"weight\": 9225, \"source\": 0, \"target\": 2}, {\"weight\": 10351, \"source\": 1, \"target\": 4}, {\"weight\": 7786, \"source\": 1, \"target\": 7}, {\"weight\": 11392, \"source\": 1, \"target\": 6}, {\"weight\": 9057, \"source\": 1, \"target\": 3}, {\"weight\": 11672, \"source\": 1, \"target\": 5}, {\"weight\": 7299, \"source\": 1, \"target\": 8}, {\"weight\": 9110, \"source\": 1, \"target\": 2}, {\"weight\": 15104, \"source\": 2, \"target\": 4}, {\"weight\": 3857, \"source\": 2, \"target\": 7}, {\"weight\": 4525, \"source\": 2, \"target\": 6}, {\"weight\": 14728, \"source\": 2, \"target\": 3}, {\"weight\": 16218, \"source\": 2, \"target\": 5}, {\"weight\": 11190, \"source\": 2, \"target\": 8}, {\"weight\": 6231, \"source\": 3, \"target\": 4}, {\"weight\": 13481, \"source\": 3, \"target\": 7}, {\"weight\": 12636, \"source\": 3, \"target\": 6}, {\"weight\": 6135, \"source\": 3, \"target\": 5}, {\"weight\": 4970, \"source\": 3, \"target\": 8}, {\"weight\": 14780, \"source\": 4, \"target\": 7}, {\"weight\": 12244, \"source\": 4, \"target\": 6}, {\"weight\": 11490, \"source\": 4, \"target\": 5}, {\"weight\": 7364, \"source\": 4, \"target\": 8}, {\"weight\": 14821, \"source\": 5, \"target\": 7}, {\"weight\": 17828, \"source\": 5, \"target\": 6}, {\"weight\": 7717, \"source\": 5, \"target\": 8}, {\"weight\": 4847, \"source\": 6, \"target\": 7}, {\"weight\": 13284, \"source\": 6, \"target\": 8}, {\"weight\": 9740, \"source\": 7, \"target\": 8}]}",
"id": 168,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PSJ, SFJ, THX, ZCL, KLN, BVB, HFE, KSQ, ZLT\n- Travel distances (in kilometers) between each pair of airports:\nPSJ to KLN: 16386\nPSJ to KSQ: 8334\nPSJ to HFE: 4737\nPSJ to ZCL: 16596\nPSJ to BVB: 21742\nPSJ to SFJ: 15602\nPSJ to ZLT: 17601\nPSJ to THX: 9225\nSFJ to KLN: 10351\nSFJ to KSQ: 7786\nSFJ to HFE: 11392\nSFJ to ZCL: 9057\nSFJ to BVB: 11672\nSFJ to ZLT: 7299\nSFJ to THX: 9110\nTHX to KLN: 15104\nTHX to KSQ: 3857\nTHX to HFE: 4525\nTHX to ZCL: 14728\nTHX to BVB: 16218\nTHX to ZLT: 11190\nZCL to KLN: 6231\nZCL to KSQ: 13481\nZCL to HFE: 12636\nZCL to BVB: 6135\nZCL to ZLT: 4970\nKLN to KSQ: 14780\nKLN to HFE: 12244\nKLN to BVB: 11490\nKLN to ZLT: 7364\nBVB to KSQ: 14821\nBVB to HFE: 17828\nBVB to ZLT: 7717\nHFE to KSQ: 4847\nHFE to ZLT: 13284\nKSQ to ZLT: 9740\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HGN, PLW, TIA, GEO, YAC, HKD, RRS, RNL, PMR\n- Travel distances (in kilometers) between each pair of airports:\nHGN to TIA: 8140\nHGN to HKD: 5032\nHGN to GEO: 17065\nHGN to PLW: 3932\nHGN to RNL: 8226\nHGN to PMR: 10588\nHGN to RRS: 9052\nHGN to YAC: 13949\nPLW to TIA: 11221\nPLW to HKD: 5950\nPLW to GEO: 20106\nPLW to RNL: 6256\nPLW to PMR: 8076\nPLW to RRS: 11941\nPLW to YAC: 15117\nTIA to HKD: 9683\nTIA to GEO: 9347\nTIA to RNL: 15467\nTIA to PMR: 18080\nTIA to RRS: 2438\nTIA to YAC: 8960\nGEO to HKD: 15847\nGEO to RNL: 18119\nGEO to PMR: 16000\nGEO to RRS: 8979\nGEO to YAC: 5989\nYAC to HKD: 10623\nYAC to RNL: 14218\nYAC to PMR: 13916\nYAC to RRS: 7573\nHKD to RNL: 7638\nHKD to PMR: 10129\nHKD to RRS: 8900\nRRS to RNL: 15542\nRRS to PMR: 18067\nRNL to PMR: 4130\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59940,
"style": "rule"
}
|
{
"exact_answer": 59940,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HGN\", \"id\": 0}, {\"name\": \"PLW\", \"id\": 1}, {\"name\": \"TIA\", \"id\": 2}, {\"name\": \"GEO\", \"id\": 3}, {\"name\": \"YAC\", \"id\": 4}, {\"name\": \"HKD\", \"id\": 5}, {\"name\": \"RRS\", \"id\": 6}, {\"name\": \"RNL\", \"id\": 7}, {\"name\": \"PMR\", \"id\": 8}], \"links\": [{\"weight\": 8140, \"source\": 0, \"target\": 2}, {\"weight\": 5032, \"source\": 0, \"target\": 5}, {\"weight\": 17065, \"source\": 0, \"target\": 3}, {\"weight\": 3932, \"source\": 0, \"target\": 1}, {\"weight\": 8226, \"source\": 0, \"target\": 7}, {\"weight\": 10588, \"source\": 0, \"target\": 8}, {\"weight\": 9052, \"source\": 0, \"target\": 6}, {\"weight\": 13949, \"source\": 0, \"target\": 4}, {\"weight\": 11221, \"source\": 1, \"target\": 2}, {\"weight\": 5950, \"source\": 1, \"target\": 5}, {\"weight\": 20106, \"source\": 1, \"target\": 3}, {\"weight\": 6256, \"source\": 1, \"target\": 7}, {\"weight\": 8076, \"source\": 1, \"target\": 8}, {\"weight\": 11941, \"source\": 1, \"target\": 6}, {\"weight\": 15117, \"source\": 1, \"target\": 4}, {\"weight\": 9683, \"source\": 2, \"target\": 5}, {\"weight\": 9347, \"source\": 2, \"target\": 3}, {\"weight\": 15467, \"source\": 2, \"target\": 7}, {\"weight\": 18080, \"source\": 2, \"target\": 8}, {\"weight\": 2438, \"source\": 2, \"target\": 6}, {\"weight\": 8960, \"source\": 2, \"target\": 4}, {\"weight\": 15847, \"source\": 3, \"target\": 5}, {\"weight\": 18119, \"source\": 3, \"target\": 7}, {\"weight\": 16000, \"source\": 3, \"target\": 8}, {\"weight\": 8979, \"source\": 3, \"target\": 6}, {\"weight\": 5989, \"source\": 3, \"target\": 4}, {\"weight\": 10623, \"source\": 4, \"target\": 5}, {\"weight\": 14218, \"source\": 4, \"target\": 7}, {\"weight\": 13916, \"source\": 4, \"target\": 8}, {\"weight\": 7573, \"source\": 4, \"target\": 6}, {\"weight\": 7638, \"source\": 5, \"target\": 7}, {\"weight\": 10129, \"source\": 5, \"target\": 8}, {\"weight\": 8900, \"source\": 5, \"target\": 6}, {\"weight\": 15542, \"source\": 6, \"target\": 7}, {\"weight\": 18067, \"source\": 6, \"target\": 8}, {\"weight\": 4130, \"source\": 7, \"target\": 8}]}",
"id": 169,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HGN, PLW, TIA, GEO, YAC, HKD, RRS, RNL, PMR\n- Travel distances (in kilometers) between each pair of airports:\nHGN to TIA: 8140\nHGN to HKD: 5032\nHGN to GEO: 17065\nHGN to PLW: 3932\nHGN to RNL: 8226\nHGN to PMR: 10588\nHGN to RRS: 9052\nHGN to YAC: 13949\nPLW to TIA: 11221\nPLW to HKD: 5950\nPLW to GEO: 20106\nPLW to RNL: 6256\nPLW to PMR: 8076\nPLW to RRS: 11941\nPLW to YAC: 15117\nTIA to HKD: 9683\nTIA to GEO: 9347\nTIA to RNL: 15467\nTIA to PMR: 18080\nTIA to RRS: 2438\nTIA to YAC: 8960\nGEO to HKD: 15847\nGEO to RNL: 18119\nGEO to PMR: 16000\nGEO to RRS: 8979\nGEO to YAC: 5989\nYAC to HKD: 10623\nYAC to RNL: 14218\nYAC to PMR: 13916\nYAC to RRS: 7573\nHKD to RNL: 7638\nHKD to PMR: 10129\nHKD to RRS: 8900\nRRS to RNL: 15542\nRRS to PMR: 18067\nRNL to PMR: 4130\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, BOY, VAR, MYR, LJU, CNM, ELU, GRO, AKP\n- Travel distances (in kilometers) between each pair of airports:\nCIK to BOY: 14586\nCIK to AKP: 684\nCIK to MYR: 6475\nCIK to LJU: 11543\nCIK to ELU: 12545\nCIK to VAR: 12564\nCIK to GRO: 11499\nCIK to CNM: 5005\nBOY to AKP: 14716\nBOY to MYR: 9110\nBOY to LJU: 4829\nBOY to ELU: 3559\nBOY to VAR: 5147\nBOY to GRO: 3661\nBOY to CNM: 11490\nVAR to AKP: 12694\nVAR to MYR: 8717\nVAR to LJU: 1107\nVAR to ELU: 2728\nVAR to GRO: 2125\nVAR to CNM: 10617\nMYR to AKP: 6605\nMYR to LJU: 7664\nMYR to ELU: 7863\nMYR to GRO: 7414\nMYR to CNM: 2916\nLJU to AKP: 11673\nLJU to ELU: 2228\nLJU to GRO: 1493\nLJU to CNM: 9604\nCNM to AKP: 5135\nCNM to ELU: 10112\nCNM to GRO: 9505\nELU to AKP: 12675\nELU to GRO: 1060\nGRO to AKP: 11629\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 37239,
"style": "rule"
}
|
{
"exact_answer": 37239,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CIK\", \"id\": 0}, {\"name\": \"BOY\", \"id\": 1}, {\"name\": \"VAR\", \"id\": 2}, {\"name\": \"MYR\", \"id\": 3}, {\"name\": \"LJU\", \"id\": 4}, {\"name\": \"CNM\", \"id\": 5}, {\"name\": \"ELU\", \"id\": 6}, {\"name\": \"GRO\", \"id\": 7}, {\"name\": \"AKP\", \"id\": 8}], \"links\": [{\"weight\": 14586, \"source\": 0, \"target\": 1}, {\"weight\": 684, \"source\": 0, \"target\": 8}, {\"weight\": 6475, \"source\": 0, \"target\": 3}, {\"weight\": 11543, \"source\": 0, \"target\": 4}, {\"weight\": 12545, \"source\": 0, \"target\": 6}, {\"weight\": 12564, \"source\": 0, \"target\": 2}, {\"weight\": 11499, \"source\": 0, \"target\": 7}, {\"weight\": 5005, \"source\": 0, \"target\": 5}, {\"weight\": 14716, \"source\": 1, \"target\": 8}, {\"weight\": 9110, \"source\": 1, \"target\": 3}, {\"weight\": 4829, \"source\": 1, \"target\": 4}, {\"weight\": 3559, \"source\": 1, \"target\": 6}, {\"weight\": 5147, \"source\": 1, \"target\": 2}, {\"weight\": 3661, \"source\": 1, \"target\": 7}, {\"weight\": 11490, \"source\": 1, \"target\": 5}, {\"weight\": 12694, \"source\": 2, \"target\": 8}, {\"weight\": 8717, \"source\": 2, \"target\": 3}, {\"weight\": 1107, \"source\": 2, \"target\": 4}, {\"weight\": 2728, \"source\": 2, \"target\": 6}, {\"weight\": 2125, \"source\": 2, \"target\": 7}, {\"weight\": 10617, \"source\": 2, \"target\": 5}, {\"weight\": 6605, \"source\": 3, \"target\": 8}, {\"weight\": 7664, \"source\": 3, \"target\": 4}, {\"weight\": 7863, \"source\": 3, \"target\": 6}, {\"weight\": 7414, \"source\": 3, \"target\": 7}, {\"weight\": 2916, \"source\": 3, \"target\": 5}, {\"weight\": 11673, \"source\": 4, \"target\": 8}, {\"weight\": 2228, \"source\": 4, \"target\": 6}, {\"weight\": 1493, \"source\": 4, \"target\": 7}, {\"weight\": 9604, \"source\": 4, \"target\": 5}, {\"weight\": 5135, \"source\": 5, \"target\": 8}, {\"weight\": 10112, \"source\": 5, \"target\": 6}, {\"weight\": 9505, \"source\": 5, \"target\": 7}, {\"weight\": 12675, \"source\": 6, \"target\": 8}, {\"weight\": 1060, \"source\": 6, \"target\": 7}, {\"weight\": 11629, \"source\": 7, \"target\": 8}]}",
"id": 170,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, BOY, VAR, MYR, LJU, CNM, ELU, GRO, AKP\n- Travel distances (in kilometers) between each pair of airports:\nCIK to BOY: 14586\nCIK to AKP: 684\nCIK to MYR: 6475\nCIK to LJU: 11543\nCIK to ELU: 12545\nCIK to VAR: 12564\nCIK to GRO: 11499\nCIK to CNM: 5005\nBOY to AKP: 14716\nBOY to MYR: 9110\nBOY to LJU: 4829\nBOY to ELU: 3559\nBOY to VAR: 5147\nBOY to GRO: 3661\nBOY to CNM: 11490\nVAR to AKP: 12694\nVAR to MYR: 8717\nVAR to LJU: 1107\nVAR to ELU: 2728\nVAR to GRO: 2125\nVAR to CNM: 10617\nMYR to AKP: 6605\nMYR to LJU: 7664\nMYR to ELU: 7863\nMYR to GRO: 7414\nMYR to CNM: 2916\nLJU to AKP: 11673\nLJU to ELU: 2228\nLJU to GRO: 1493\nLJU to CNM: 9604\nCNM to AKP: 5135\nCNM to ELU: 10112\nCNM to GRO: 9505\nELU to AKP: 12675\nELU to GRO: 1060\nGRO to AKP: 11629\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KUV, IGR, SKO, PDV, AUA, YTS, TKD, AJA\n- Travel distances (in kilometers) between each pair of airports:\nPBG to AUA: 3643\nPBG to AJA: 6756\nPBG to YTS: 1588\nPBG to IGR: 10087\nPBG to PDV: 7741\nPBG to KUV: 12359\nPBG to TKD: 8758\nPBG to SKO: 9718\nKUV to AUA: 14908\nKUV to AJA: 9932\nKUV to YTS: 11882\nKUV to IGR: 21202\nKUV to PDV: 10906\nKUV to TKD: 13417\nKUV to SKO: 12864\nIGR to AUA: 6601\nIGR to AJA: 12197\nIGR to YTS: 10652\nIGR to PDV: 14068\nIGR to TKD: 9193\nIGR to SKO: 10053\nSKO to AUA: 10623\nSKO to AJA: 4895\nSKO to YTS: 10392\nSKO to PDV: 6956\nSKO to TKD: 1584\nPDV to AUA: 10170\nPDV to AJA: 2796\nPDV to YTS: 8437\nPDV to TKD: 6844\nAUA to AJA: 8430\nAUA to YTS: 4145\nAUA to TKD: 9651\nYTS to AJA: 7405\nYTS to TKD: 9562\nTKD to AJA: 4778\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53088,
"style": "rule"
}
|
{
"exact_answer": 53088,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PBG\", \"id\": 0}, {\"name\": \"KUV\", \"id\": 1}, {\"name\": \"IGR\", \"id\": 2}, {\"name\": \"SKO\", \"id\": 3}, {\"name\": \"PDV\", \"id\": 4}, {\"name\": \"AUA\", \"id\": 5}, {\"name\": \"YTS\", \"id\": 6}, {\"name\": \"TKD\", \"id\": 7}, {\"name\": \"AJA\", \"id\": 8}], \"links\": [{\"weight\": 3643, \"source\": 0, \"target\": 5}, {\"weight\": 6756, \"source\": 0, \"target\": 8}, {\"weight\": 1588, \"source\": 0, \"target\": 6}, {\"weight\": 10087, \"source\": 0, \"target\": 2}, {\"weight\": 7741, \"source\": 0, \"target\": 4}, {\"weight\": 12359, \"source\": 0, \"target\": 1}, {\"weight\": 8758, \"source\": 0, \"target\": 7}, {\"weight\": 9718, \"source\": 0, \"target\": 3}, {\"weight\": 14908, \"source\": 1, \"target\": 5}, {\"weight\": 9932, \"source\": 1, \"target\": 8}, {\"weight\": 11882, \"source\": 1, \"target\": 6}, {\"weight\": 21202, \"source\": 1, \"target\": 2}, {\"weight\": 10906, \"source\": 1, \"target\": 4}, {\"weight\": 13417, \"source\": 1, \"target\": 7}, {\"weight\": 12864, \"source\": 1, \"target\": 3}, {\"weight\": 6601, \"source\": 2, \"target\": 5}, {\"weight\": 12197, \"source\": 2, \"target\": 8}, {\"weight\": 10652, \"source\": 2, \"target\": 6}, {\"weight\": 14068, \"source\": 2, \"target\": 4}, {\"weight\": 9193, \"source\": 2, \"target\": 7}, {\"weight\": 10053, \"source\": 2, \"target\": 3}, {\"weight\": 10623, \"source\": 3, \"target\": 5}, {\"weight\": 4895, \"source\": 3, \"target\": 8}, {\"weight\": 10392, \"source\": 3, \"target\": 6}, {\"weight\": 6956, \"source\": 3, \"target\": 4}, {\"weight\": 1584, \"source\": 3, \"target\": 7}, {\"weight\": 10170, \"source\": 4, \"target\": 5}, {\"weight\": 2796, \"source\": 4, \"target\": 8}, {\"weight\": 8437, \"source\": 4, \"target\": 6}, {\"weight\": 6844, \"source\": 4, \"target\": 7}, {\"weight\": 8430, \"source\": 5, \"target\": 8}, {\"weight\": 4145, \"source\": 5, \"target\": 6}, {\"weight\": 9651, \"source\": 5, \"target\": 7}, {\"weight\": 7405, \"source\": 6, \"target\": 8}, {\"weight\": 9562, \"source\": 6, \"target\": 7}, {\"weight\": 4778, \"source\": 7, \"target\": 8}]}",
"id": 171,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KUV, IGR, SKO, PDV, AUA, YTS, TKD, AJA\n- Travel distances (in kilometers) between each pair of airports:\nPBG to AUA: 3643\nPBG to AJA: 6756\nPBG to YTS: 1588\nPBG to IGR: 10087\nPBG to PDV: 7741\nPBG to KUV: 12359\nPBG to TKD: 8758\nPBG to SKO: 9718\nKUV to AUA: 14908\nKUV to AJA: 9932\nKUV to YTS: 11882\nKUV to IGR: 21202\nKUV to PDV: 10906\nKUV to TKD: 13417\nKUV to SKO: 12864\nIGR to AUA: 6601\nIGR to AJA: 12197\nIGR to YTS: 10652\nIGR to PDV: 14068\nIGR to TKD: 9193\nIGR to SKO: 10053\nSKO to AUA: 10623\nSKO to AJA: 4895\nSKO to YTS: 10392\nSKO to PDV: 6956\nSKO to TKD: 1584\nPDV to AUA: 10170\nPDV to AJA: 2796\nPDV to YTS: 8437\nPDV to TKD: 6844\nAUA to AJA: 8430\nAUA to YTS: 4145\nAUA to TKD: 9651\nYTS to AJA: 7405\nYTS to TKD: 9562\nTKD to AJA: 4778\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AES, LMN, DXB, LTI, FLN, YFH, YCL, MOQ, NLG\n- Travel distances (in kilometers) between each pair of airports:\nAES to DXB: 5495\nAES to FLN: 11271\nAES to NLG: 11008\nAES to MOQ: 10171\nAES to LMN: 11192\nAES to LTI: 7438\nAES to YCL: 6288\nAES to YFH: 7194\nLMN to DXB: 6955\nLMN to FLN: 17892\nLMN to NLG: 15616\nLMN to MOQ: 8399\nLMN to LTI: 5999\nLMN to YCL: 16376\nLMN to YFH: 14649\nDXB to FLN: 12642\nDXB to NLG: 15379\nDXB to MOQ: 5852\nDXB to LTI: 6030\nDXB to YCL: 10484\nDXB to YFH: 12361\nLTI to FLN: 17769\nLTI to NLG: 14138\nLTI to MOQ: 11882\nLTI to YCL: 12975\nLTI to YFH: 13330\nFLN to NLG: 14443\nFLN to MOQ: 10458\nFLN to YCL: 9172\nFLN to YFH: 9986\nYFH to NLG: 6336\nYFH to MOQ: 16312\nYFH to YCL: 2974\nYCL to NLG: 7904\nYCL to MOQ: 14455\nMOQ to NLG: 20576\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65871,
"style": "rule"
}
|
{
"exact_answer": 65871,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AES\", \"id\": 0}, {\"name\": \"LMN\", \"id\": 1}, {\"name\": \"DXB\", \"id\": 2}, {\"name\": \"LTI\", \"id\": 3}, {\"name\": \"FLN\", \"id\": 4}, {\"name\": \"YFH\", \"id\": 5}, {\"name\": \"YCL\", \"id\": 6}, {\"name\": \"MOQ\", \"id\": 7}, {\"name\": \"NLG\", \"id\": 8}], \"links\": [{\"weight\": 5495, \"source\": 0, \"target\": 2}, {\"weight\": 11271, \"source\": 0, \"target\": 4}, {\"weight\": 11008, \"source\": 0, \"target\": 8}, {\"weight\": 10171, \"source\": 0, \"target\": 7}, {\"weight\": 11192, \"source\": 0, \"target\": 1}, {\"weight\": 7438, \"source\": 0, \"target\": 3}, {\"weight\": 6288, \"source\": 0, \"target\": 6}, {\"weight\": 7194, \"source\": 0, \"target\": 5}, {\"weight\": 6955, \"source\": 1, \"target\": 2}, {\"weight\": 17892, \"source\": 1, \"target\": 4}, {\"weight\": 15616, \"source\": 1, \"target\": 8}, {\"weight\": 8399, \"source\": 1, \"target\": 7}, {\"weight\": 5999, \"source\": 1, \"target\": 3}, {\"weight\": 16376, \"source\": 1, \"target\": 6}, {\"weight\": 14649, \"source\": 1, \"target\": 5}, {\"weight\": 12642, \"source\": 2, \"target\": 4}, {\"weight\": 15379, \"source\": 2, \"target\": 8}, {\"weight\": 5852, \"source\": 2, \"target\": 7}, {\"weight\": 6030, \"source\": 2, \"target\": 3}, {\"weight\": 10484, \"source\": 2, \"target\": 6}, {\"weight\": 12361, \"source\": 2, \"target\": 5}, {\"weight\": 17769, \"source\": 3, \"target\": 4}, {\"weight\": 14138, \"source\": 3, \"target\": 8}, {\"weight\": 11882, \"source\": 3, \"target\": 7}, {\"weight\": 12975, \"source\": 3, \"target\": 6}, {\"weight\": 13330, \"source\": 3, \"target\": 5}, {\"weight\": 14443, \"source\": 4, \"target\": 8}, {\"weight\": 10458, \"source\": 4, \"target\": 7}, {\"weight\": 9172, \"source\": 4, \"target\": 6}, {\"weight\": 9986, \"source\": 4, \"target\": 5}, {\"weight\": 6336, \"source\": 5, \"target\": 8}, {\"weight\": 16312, \"source\": 5, \"target\": 7}, {\"weight\": 2974, \"source\": 5, \"target\": 6}, {\"weight\": 7904, \"source\": 6, \"target\": 8}, {\"weight\": 14455, \"source\": 6, \"target\": 7}, {\"weight\": 20576, \"source\": 7, \"target\": 8}]}",
"id": 172,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AES, LMN, DXB, LTI, FLN, YFH, YCL, MOQ, NLG\n- Travel distances (in kilometers) between each pair of airports:\nAES to DXB: 5495\nAES to FLN: 11271\nAES to NLG: 11008\nAES to MOQ: 10171\nAES to LMN: 11192\nAES to LTI: 7438\nAES to YCL: 6288\nAES to YFH: 7194\nLMN to DXB: 6955\nLMN to FLN: 17892\nLMN to NLG: 15616\nLMN to MOQ: 8399\nLMN to LTI: 5999\nLMN to YCL: 16376\nLMN to YFH: 14649\nDXB to FLN: 12642\nDXB to NLG: 15379\nDXB to MOQ: 5852\nDXB to LTI: 6030\nDXB to YCL: 10484\nDXB to YFH: 12361\nLTI to FLN: 17769\nLTI to NLG: 14138\nLTI to MOQ: 11882\nLTI to YCL: 12975\nLTI to YFH: 13330\nFLN to NLG: 14443\nFLN to MOQ: 10458\nFLN to YCL: 9172\nFLN to YFH: 9986\nYFH to NLG: 6336\nYFH to MOQ: 16312\nYFH to YCL: 2974\nYCL to NLG: 7904\nYCL to MOQ: 14455\nMOQ to NLG: 20576\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPP, NHV, FDH, ATM, MOT, WAW, COR, BVB, SJC\n- Travel distances (in kilometers) between each pair of airports:\nLPP to FDH: 2994\nLPP to WAW: 3180\nLPP to COR: 13446\nLPP to SJC: 10806\nLPP to ATM: 10803\nLPP to BVB: 12246\nLPP to MOT: 9646\nLPP to NHV: 19000\nNHV to FDH: 17597\nNHV to WAW: 17711\nNHV to COR: 10066\nNHV to SJC: 8513\nNHV to ATM: 14948\nNHV to BVB: 15374\nNHV to MOT: 10164\nFDH to WAW: 1129\nFDH to COR: 11703\nFDH to SJC: 9567\nFDH to ATM: 9073\nFDH to BVB: 10416\nFDH to MOT: 8027\nATM to WAW: 9759\nATM to COR: 4882\nATM to SJC: 8730\nATM to BVB: 1541\nATM to MOT: 7897\nMOT to WAW: 8505\nMOT to COR: 9723\nMOT to SJC: 2386\nMOT to BVB: 7670\nWAW to COR: 12586\nWAW to SJC: 9736\nWAW to BVB: 11010\nCOR to SJC: 9735\nCOR to BVB: 5308\nBVB to SJC: 8503\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50842,
"style": "rule"
}
|
{
"exact_answer": 50842,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPP\", \"id\": 0}, {\"name\": \"NHV\", \"id\": 1}, {\"name\": \"FDH\", \"id\": 2}, {\"name\": \"ATM\", \"id\": 3}, {\"name\": \"MOT\", \"id\": 4}, {\"name\": \"WAW\", \"id\": 5}, {\"name\": \"COR\", \"id\": 6}, {\"name\": \"BVB\", \"id\": 7}, {\"name\": \"SJC\", \"id\": 8}], \"links\": [{\"weight\": 2994, \"source\": 0, \"target\": 2}, {\"weight\": 3180, \"source\": 0, \"target\": 5}, {\"weight\": 13446, \"source\": 0, \"target\": 6}, {\"weight\": 10806, \"source\": 0, \"target\": 8}, {\"weight\": 10803, \"source\": 0, \"target\": 3}, {\"weight\": 12246, \"source\": 0, \"target\": 7}, {\"weight\": 9646, \"source\": 0, \"target\": 4}, {\"weight\": 19000, \"source\": 0, \"target\": 1}, {\"weight\": 17597, \"source\": 1, \"target\": 2}, {\"weight\": 17711, \"source\": 1, \"target\": 5}, {\"weight\": 10066, \"source\": 1, \"target\": 6}, {\"weight\": 8513, \"source\": 1, \"target\": 8}, {\"weight\": 14948, \"source\": 1, \"target\": 3}, {\"weight\": 15374, \"source\": 1, \"target\": 7}, {\"weight\": 10164, \"source\": 1, \"target\": 4}, {\"weight\": 1129, \"source\": 2, \"target\": 5}, {\"weight\": 11703, \"source\": 2, \"target\": 6}, {\"weight\": 9567, \"source\": 2, \"target\": 8}, {\"weight\": 9073, \"source\": 2, \"target\": 3}, {\"weight\": 10416, \"source\": 2, \"target\": 7}, {\"weight\": 8027, \"source\": 2, \"target\": 4}, {\"weight\": 9759, \"source\": 3, \"target\": 5}, {\"weight\": 4882, \"source\": 3, \"target\": 6}, {\"weight\": 8730, \"source\": 3, \"target\": 8}, {\"weight\": 1541, \"source\": 3, \"target\": 7}, {\"weight\": 7897, \"source\": 3, \"target\": 4}, {\"weight\": 8505, \"source\": 4, \"target\": 5}, {\"weight\": 9723, \"source\": 4, \"target\": 6}, {\"weight\": 2386, \"source\": 4, \"target\": 8}, {\"weight\": 7670, \"source\": 4, \"target\": 7}, {\"weight\": 12586, \"source\": 5, \"target\": 6}, {\"weight\": 9736, \"source\": 5, \"target\": 8}, {\"weight\": 11010, \"source\": 5, \"target\": 7}, {\"weight\": 9735, \"source\": 6, \"target\": 8}, {\"weight\": 5308, \"source\": 6, \"target\": 7}, {\"weight\": 8503, \"source\": 7, \"target\": 8}]}",
"id": 173,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPP, NHV, FDH, ATM, MOT, WAW, COR, BVB, SJC\n- Travel distances (in kilometers) between each pair of airports:\nLPP to FDH: 2994\nLPP to WAW: 3180\nLPP to COR: 13446\nLPP to SJC: 10806\nLPP to ATM: 10803\nLPP to BVB: 12246\nLPP to MOT: 9646\nLPP to NHV: 19000\nNHV to FDH: 17597\nNHV to WAW: 17711\nNHV to COR: 10066\nNHV to SJC: 8513\nNHV to ATM: 14948\nNHV to BVB: 15374\nNHV to MOT: 10164\nFDH to WAW: 1129\nFDH to COR: 11703\nFDH to SJC: 9567\nFDH to ATM: 9073\nFDH to BVB: 10416\nFDH to MOT: 8027\nATM to WAW: 9759\nATM to COR: 4882\nATM to SJC: 8730\nATM to BVB: 1541\nATM to MOT: 7897\nMOT to WAW: 8505\nMOT to COR: 9723\nMOT to SJC: 2386\nMOT to BVB: 7670\nWAW to COR: 12586\nWAW to SJC: 9736\nWAW to BVB: 11010\nCOR to SJC: 9735\nCOR to BVB: 5308\nBVB to SJC: 8503\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DOM, JFR, IXS, PEI, SVB, KNX, FTU, BRS, ABV\n- Travel distances (in kilometers) between each pair of airports:\nDOM to BRS: 7220\nDOM to IXS: 15064\nDOM to ABV: 9837\nDOM to PEI: 2206\nDOM to JFR: 8681\nDOM to SVB: 14787\nDOM to FTU: 14905\nDOM to KNX: 20361\nJFR to BRS: 3481\nJFR to IXS: 10977\nJFR to ABV: 8332\nJFR to PEI: 9950\nJFR to SVB: 12624\nJFR to FTU: 13318\nJFR to KNX: 16688\nIXS to BRS: 8533\nIXS to ABV: 9215\nIXS to PEI: 17028\nIXS to SVB: 7687\nIXS to FTU: 8107\nIXS to KNX: 7034\nPEI to BRS: 9190\nPEI to ABV: 10944\nPEI to SVB: 14664\nPEI to FTU: 14782\nPEI to KNX: 19361\nSVB to BRS: 9198\nSVB to ABV: 6047\nSVB to FTU: 1274\nSVB to KNX: 9476\nKNX to BRS: 14561\nKNX to ABV: 14829\nKNX to FTU: 9877\nFTU to BRS: 9901\nFTU to ABV: 6744\nBRS to ABV: 4927\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58077,
"style": "rule"
}
|
{
"exact_answer": 58077,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DOM\", \"id\": 0}, {\"name\": \"JFR\", \"id\": 1}, {\"name\": \"IXS\", \"id\": 2}, {\"name\": \"PEI\", \"id\": 3}, {\"name\": \"SVB\", \"id\": 4}, {\"name\": \"KNX\", \"id\": 5}, {\"name\": \"FTU\", \"id\": 6}, {\"name\": \"BRS\", \"id\": 7}, {\"name\": \"ABV\", \"id\": 8}], \"links\": [{\"weight\": 7220, \"source\": 0, \"target\": 7}, {\"weight\": 15064, \"source\": 0, \"target\": 2}, {\"weight\": 9837, \"source\": 0, \"target\": 8}, {\"weight\": 2206, \"source\": 0, \"target\": 3}, {\"weight\": 8681, \"source\": 0, \"target\": 1}, {\"weight\": 14787, \"source\": 0, \"target\": 4}, {\"weight\": 14905, \"source\": 0, \"target\": 6}, {\"weight\": 20361, \"source\": 0, \"target\": 5}, {\"weight\": 3481, \"source\": 1, \"target\": 7}, {\"weight\": 10977, \"source\": 1, \"target\": 2}, {\"weight\": 8332, \"source\": 1, \"target\": 8}, {\"weight\": 9950, \"source\": 1, \"target\": 3}, {\"weight\": 12624, \"source\": 1, \"target\": 4}, {\"weight\": 13318, \"source\": 1, \"target\": 6}, {\"weight\": 16688, \"source\": 1, \"target\": 5}, {\"weight\": 8533, \"source\": 2, \"target\": 7}, {\"weight\": 9215, \"source\": 2, \"target\": 8}, {\"weight\": 17028, \"source\": 2, \"target\": 3}, {\"weight\": 7687, \"source\": 2, \"target\": 4}, {\"weight\": 8107, \"source\": 2, \"target\": 6}, {\"weight\": 7034, \"source\": 2, \"target\": 5}, {\"weight\": 9190, \"source\": 3, \"target\": 7}, {\"weight\": 10944, \"source\": 3, \"target\": 8}, {\"weight\": 14664, \"source\": 3, \"target\": 4}, {\"weight\": 14782, \"source\": 3, \"target\": 6}, {\"weight\": 19361, \"source\": 3, \"target\": 5}, {\"weight\": 9198, \"source\": 4, \"target\": 7}, {\"weight\": 6047, \"source\": 4, \"target\": 8}, {\"weight\": 1274, \"source\": 4, \"target\": 6}, {\"weight\": 9476, \"source\": 4, \"target\": 5}, {\"weight\": 14561, \"source\": 5, \"target\": 7}, {\"weight\": 14829, \"source\": 5, \"target\": 8}, {\"weight\": 9877, \"source\": 5, \"target\": 6}, {\"weight\": 9901, \"source\": 6, \"target\": 7}, {\"weight\": 6744, \"source\": 6, \"target\": 8}, {\"weight\": 4927, \"source\": 7, \"target\": 8}]}",
"id": 174,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DOM, JFR, IXS, PEI, SVB, KNX, FTU, BRS, ABV\n- Travel distances (in kilometers) between each pair of airports:\nDOM to BRS: 7220\nDOM to IXS: 15064\nDOM to ABV: 9837\nDOM to PEI: 2206\nDOM to JFR: 8681\nDOM to SVB: 14787\nDOM to FTU: 14905\nDOM to KNX: 20361\nJFR to BRS: 3481\nJFR to IXS: 10977\nJFR to ABV: 8332\nJFR to PEI: 9950\nJFR to SVB: 12624\nJFR to FTU: 13318\nJFR to KNX: 16688\nIXS to BRS: 8533\nIXS to ABV: 9215\nIXS to PEI: 17028\nIXS to SVB: 7687\nIXS to FTU: 8107\nIXS to KNX: 7034\nPEI to BRS: 9190\nPEI to ABV: 10944\nPEI to SVB: 14664\nPEI to FTU: 14782\nPEI to KNX: 19361\nSVB to BRS: 9198\nSVB to ABV: 6047\nSVB to FTU: 1274\nSVB to KNX: 9476\nKNX to BRS: 14561\nKNX to ABV: 14829\nKNX to FTU: 9877\nFTU to BRS: 9901\nFTU to ABV: 6744\nBRS to ABV: 4927\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WSX, ERC, GDQ, CTM, ATT, YMT, NME, YNA, KUH\n- Travel distances (in kilometers) between each pair of airports:\nWSX to CTM: 5089\nWSX to ATT: 3147\nWSX to NME: 3281\nWSX to GDQ: 14125\nWSX to KUH: 8783\nWSX to ERC: 11023\nWSX to YNA: 4973\nWSX to YMT: 4049\nERC to CTM: 13435\nERC to ATT: 13854\nERC to NME: 13988\nERC to GDQ: 4535\nERC to KUH: 9555\nERC to YNA: 8040\nERC to YMT: 9079\nGDQ to CTM: 16119\nGDQ to ATT: 16956\nGDQ to NME: 17090\nGDQ to KUH: 11063\nGDQ to YNA: 10973\nGDQ to YMT: 11967\nCTM to ATT: 7915\nCTM to NME: 8049\nCTM to KUH: 13359\nCTM to YNA: 5931\nCTM to YMT: 5327\nATT to NME: 184\nATT to KUH: 11371\nATT to YNA: 7315\nATT to YMT: 6711\nYMT to NME: 6845\nYMT to KUH: 12104\nYMT to YNA: 1566\nNME to KUH: 11505\nNME to YNA: 7449\nYNA to KUH: 12877\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50456,
"style": "rule"
}
|
{
"exact_answer": 50456,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WSX\", \"id\": 0}, {\"name\": \"ERC\", \"id\": 1}, {\"name\": \"GDQ\", \"id\": 2}, {\"name\": \"CTM\", \"id\": 3}, {\"name\": \"ATT\", \"id\": 4}, {\"name\": \"YMT\", \"id\": 5}, {\"name\": \"NME\", \"id\": 6}, {\"name\": \"YNA\", \"id\": 7}, {\"name\": \"KUH\", \"id\": 8}], \"links\": [{\"weight\": 5089, \"source\": 0, \"target\": 3}, {\"weight\": 3147, \"source\": 0, \"target\": 4}, {\"weight\": 3281, \"source\": 0, \"target\": 6}, {\"weight\": 14125, \"source\": 0, \"target\": 2}, {\"weight\": 8783, \"source\": 0, \"target\": 8}, {\"weight\": 11023, \"source\": 0, \"target\": 1}, {\"weight\": 4973, \"source\": 0, \"target\": 7}, {\"weight\": 4049, \"source\": 0, \"target\": 5}, {\"weight\": 13435, \"source\": 1, \"target\": 3}, {\"weight\": 13854, \"source\": 1, \"target\": 4}, {\"weight\": 13988, \"source\": 1, \"target\": 6}, {\"weight\": 4535, \"source\": 1, \"target\": 2}, {\"weight\": 9555, \"source\": 1, \"target\": 8}, {\"weight\": 8040, \"source\": 1, \"target\": 7}, {\"weight\": 9079, \"source\": 1, \"target\": 5}, {\"weight\": 16119, \"source\": 2, \"target\": 3}, {\"weight\": 16956, \"source\": 2, \"target\": 4}, {\"weight\": 17090, \"source\": 2, \"target\": 6}, {\"weight\": 11063, \"source\": 2, \"target\": 8}, {\"weight\": 10973, \"source\": 2, \"target\": 7}, {\"weight\": 11967, \"source\": 2, \"target\": 5}, {\"weight\": 7915, \"source\": 3, \"target\": 4}, {\"weight\": 8049, \"source\": 3, \"target\": 6}, {\"weight\": 13359, \"source\": 3, \"target\": 8}, {\"weight\": 5931, \"source\": 3, \"target\": 7}, {\"weight\": 5327, \"source\": 3, \"target\": 5}, {\"weight\": 184, \"source\": 4, \"target\": 6}, {\"weight\": 11371, \"source\": 4, \"target\": 8}, {\"weight\": 7315, \"source\": 4, \"target\": 7}, {\"weight\": 6711, \"source\": 4, \"target\": 5}, {\"weight\": 6845, \"source\": 5, \"target\": 6}, {\"weight\": 12104, \"source\": 5, \"target\": 8}, {\"weight\": 1566, \"source\": 5, \"target\": 7}, {\"weight\": 11505, \"source\": 6, \"target\": 8}, {\"weight\": 7449, \"source\": 6, \"target\": 7}, {\"weight\": 12877, \"source\": 7, \"target\": 8}]}",
"id": 175,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WSX, ERC, GDQ, CTM, ATT, YMT, NME, YNA, KUH\n- Travel distances (in kilometers) between each pair of airports:\nWSX to CTM: 5089\nWSX to ATT: 3147\nWSX to NME: 3281\nWSX to GDQ: 14125\nWSX to KUH: 8783\nWSX to ERC: 11023\nWSX to YNA: 4973\nWSX to YMT: 4049\nERC to CTM: 13435\nERC to ATT: 13854\nERC to NME: 13988\nERC to GDQ: 4535\nERC to KUH: 9555\nERC to YNA: 8040\nERC to YMT: 9079\nGDQ to CTM: 16119\nGDQ to ATT: 16956\nGDQ to NME: 17090\nGDQ to KUH: 11063\nGDQ to YNA: 10973\nGDQ to YMT: 11967\nCTM to ATT: 7915\nCTM to NME: 8049\nCTM to KUH: 13359\nCTM to YNA: 5931\nCTM to YMT: 5327\nATT to NME: 184\nATT to KUH: 11371\nATT to YNA: 7315\nATT to YMT: 6711\nYMT to NME: 6845\nYMT to KUH: 12104\nYMT to YNA: 1566\nNME to KUH: 11505\nNME to YNA: 7449\nYNA to KUH: 12877\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPD, DAV, SCZ, LYA, EVE, APW, CGR, XFN, HLZ\n- Travel distances (in kilometers) between each pair of airports:\nLPD to CGR: 6656\nLPD to DAV: 2934\nLPD to LYA: 17037\nLPD to EVE: 11801\nLPD to XFN: 17299\nLPD to APW: 15302\nLPD to SCZ: 18643\nLPD to HLZ: 15422\nDAV to CGR: 5795\nDAV to LYA: 15023\nDAV to EVE: 10218\nDAV to XFN: 15285\nDAV to APW: 12903\nDAV to SCZ: 16275\nDAV to HLZ: 15053\nSCZ to CGR: 16974\nSCZ to LYA: 8396\nSCZ to EVE: 16352\nSCZ to XFN: 8156\nSCZ to APW: 3948\nSCZ to HLZ: 4271\nLYA to CGR: 18521\nLYA to EVE: 8468\nLYA to XFN: 1237\nLYA to APW: 10739\nLYA to HLZ: 10568\nEVE to CGR: 11828\nEVE to XFN: 8730\nEVE to APW: 16530\nEVE to HLZ: 18276\nAPW to CGR: 15700\nAPW to XFN: 10543\nAPW to HLZ: 2997\nCGR to XFN: 18706\nCGR to HLZ: 12915\nXFN to HLZ: 10334\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57529,
"style": "rule"
}
|
{
"exact_answer": 57529,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPD\", \"id\": 0}, {\"name\": \"DAV\", \"id\": 1}, {\"name\": \"SCZ\", \"id\": 2}, {\"name\": \"LYA\", \"id\": 3}, {\"name\": \"EVE\", \"id\": 4}, {\"name\": \"APW\", \"id\": 5}, {\"name\": \"CGR\", \"id\": 6}, {\"name\": \"XFN\", \"id\": 7}, {\"name\": \"HLZ\", \"id\": 8}], \"links\": [{\"weight\": 6656, \"source\": 0, \"target\": 6}, {\"weight\": 2934, \"source\": 0, \"target\": 1}, {\"weight\": 17037, \"source\": 0, \"target\": 3}, {\"weight\": 11801, \"source\": 0, \"target\": 4}, {\"weight\": 17299, \"source\": 0, \"target\": 7}, {\"weight\": 15302, \"source\": 0, \"target\": 5}, {\"weight\": 18643, \"source\": 0, \"target\": 2}, {\"weight\": 15422, \"source\": 0, \"target\": 8}, {\"weight\": 5795, \"source\": 1, \"target\": 6}, {\"weight\": 15023, \"source\": 1, \"target\": 3}, {\"weight\": 10218, \"source\": 1, \"target\": 4}, {\"weight\": 15285, \"source\": 1, \"target\": 7}, {\"weight\": 12903, \"source\": 1, \"target\": 5}, {\"weight\": 16275, \"source\": 1, \"target\": 2}, {\"weight\": 15053, \"source\": 1, \"target\": 8}, {\"weight\": 16974, \"source\": 2, \"target\": 6}, {\"weight\": 8396, \"source\": 2, \"target\": 3}, {\"weight\": 16352, \"source\": 2, \"target\": 4}, {\"weight\": 8156, \"source\": 2, \"target\": 7}, {\"weight\": 3948, \"source\": 2, \"target\": 5}, {\"weight\": 4271, \"source\": 2, \"target\": 8}, {\"weight\": 18521, \"source\": 3, \"target\": 6}, {\"weight\": 8468, \"source\": 3, \"target\": 4}, {\"weight\": 1237, \"source\": 3, \"target\": 7}, {\"weight\": 10739, \"source\": 3, \"target\": 5}, {\"weight\": 10568, \"source\": 3, \"target\": 8}, {\"weight\": 11828, \"source\": 4, \"target\": 6}, {\"weight\": 8730, \"source\": 4, \"target\": 7}, {\"weight\": 16530, \"source\": 4, \"target\": 5}, {\"weight\": 18276, \"source\": 4, \"target\": 8}, {\"weight\": 15700, \"source\": 5, \"target\": 6}, {\"weight\": 10543, \"source\": 5, \"target\": 7}, {\"weight\": 2997, \"source\": 5, \"target\": 8}, {\"weight\": 18706, \"source\": 6, \"target\": 7}, {\"weight\": 12915, \"source\": 6, \"target\": 8}, {\"weight\": 10334, \"source\": 7, \"target\": 8}]}",
"id": 176,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPD, DAV, SCZ, LYA, EVE, APW, CGR, XFN, HLZ\n- Travel distances (in kilometers) between each pair of airports:\nLPD to CGR: 6656\nLPD to DAV: 2934\nLPD to LYA: 17037\nLPD to EVE: 11801\nLPD to XFN: 17299\nLPD to APW: 15302\nLPD to SCZ: 18643\nLPD to HLZ: 15422\nDAV to CGR: 5795\nDAV to LYA: 15023\nDAV to EVE: 10218\nDAV to XFN: 15285\nDAV to APW: 12903\nDAV to SCZ: 16275\nDAV to HLZ: 15053\nSCZ to CGR: 16974\nSCZ to LYA: 8396\nSCZ to EVE: 16352\nSCZ to XFN: 8156\nSCZ to APW: 3948\nSCZ to HLZ: 4271\nLYA to CGR: 18521\nLYA to EVE: 8468\nLYA to XFN: 1237\nLYA to APW: 10739\nLYA to HLZ: 10568\nEVE to CGR: 11828\nEVE to XFN: 8730\nEVE to APW: 16530\nEVE to HLZ: 18276\nAPW to CGR: 15700\nAPW to XFN: 10543\nAPW to HLZ: 2997\nCGR to XFN: 18706\nCGR to HLZ: 12915\nXFN to HLZ: 10334\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SFG, TBN, MQJ, CDV, NYT, CLD, JHM, AAT, TOS\n- Travel distances (in kilometers) between each pair of airports:\nSFG to TOS: 9026\nSFG to CDV: 8425\nSFG to TBN: 3771\nSFG to AAT: 13296\nSFG to NYT: 16470\nSFG to JHM: 9946\nSFG to MQJ: 14419\nSFG to CLD: 5930\nTBN to TOS: 7817\nTBN to CDV: 5053\nTBN to AAT: 12834\nTBN to NYT: 14180\nTBN to JHM: 6922\nTBN to MQJ: 13800\nTBN to CLD: 2884\nMQJ to TOS: 7207\nMQJ to CDV: 13608\nMQJ to AAT: 5292\nMQJ to NYT: 6425\nMQJ to JHM: 9570\nMQJ to CLD: 12725\nCDV to TOS: 10337\nCDV to AAT: 13655\nCDV to NYT: 13811\nCDV to JHM: 4865\nCDV to CLD: 3793\nNYT to TOS: 9326\nNYT to AAT: 4029\nNYT to JHM: 10935\nNYT to CLD: 13188\nCLD to TOS: 9653\nCLD to AAT: 13032\nCLD to JHM: 4314\nJHM to TOS: 12625\nJHM to AAT: 11123\nAAT to TOS: 6151\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50514,
"style": "rule"
}
|
{
"exact_answer": 50514,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SFG\", \"id\": 0}, {\"name\": \"TBN\", \"id\": 1}, {\"name\": \"MQJ\", \"id\": 2}, {\"name\": \"CDV\", \"id\": 3}, {\"name\": \"NYT\", \"id\": 4}, {\"name\": \"CLD\", \"id\": 5}, {\"name\": \"JHM\", \"id\": 6}, {\"name\": \"AAT\", \"id\": 7}, {\"name\": \"TOS\", \"id\": 8}], \"links\": [{\"weight\": 9026, \"source\": 0, \"target\": 8}, {\"weight\": 8425, \"source\": 0, \"target\": 3}, {\"weight\": 3771, \"source\": 0, \"target\": 1}, {\"weight\": 13296, \"source\": 0, \"target\": 7}, {\"weight\": 16470, \"source\": 0, \"target\": 4}, {\"weight\": 9946, \"source\": 0, \"target\": 6}, {\"weight\": 14419, \"source\": 0, \"target\": 2}, {\"weight\": 5930, \"source\": 0, \"target\": 5}, {\"weight\": 7817, \"source\": 1, \"target\": 8}, {\"weight\": 5053, \"source\": 1, \"target\": 3}, {\"weight\": 12834, \"source\": 1, \"target\": 7}, {\"weight\": 14180, \"source\": 1, \"target\": 4}, {\"weight\": 6922, \"source\": 1, \"target\": 6}, {\"weight\": 13800, \"source\": 1, \"target\": 2}, {\"weight\": 2884, \"source\": 1, \"target\": 5}, {\"weight\": 7207, \"source\": 2, \"target\": 8}, {\"weight\": 13608, \"source\": 2, \"target\": 3}, {\"weight\": 5292, \"source\": 2, \"target\": 7}, {\"weight\": 6425, \"source\": 2, \"target\": 4}, {\"weight\": 9570, \"source\": 2, \"target\": 6}, {\"weight\": 12725, \"source\": 2, \"target\": 5}, {\"weight\": 10337, \"source\": 3, \"target\": 8}, {\"weight\": 13655, \"source\": 3, \"target\": 7}, {\"weight\": 13811, \"source\": 3, \"target\": 4}, {\"weight\": 4865, \"source\": 3, \"target\": 6}, {\"weight\": 3793, \"source\": 3, \"target\": 5}, {\"weight\": 9326, \"source\": 4, \"target\": 8}, {\"weight\": 4029, \"source\": 4, \"target\": 7}, {\"weight\": 10935, \"source\": 4, \"target\": 6}, {\"weight\": 13188, \"source\": 4, \"target\": 5}, {\"weight\": 9653, \"source\": 5, \"target\": 8}, {\"weight\": 13032, \"source\": 5, \"target\": 7}, {\"weight\": 4314, \"source\": 5, \"target\": 6}, {\"weight\": 12625, \"source\": 6, \"target\": 8}, {\"weight\": 11123, \"source\": 6, \"target\": 7}, {\"weight\": 6151, \"source\": 7, \"target\": 8}]}",
"id": 177,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SFG, TBN, MQJ, CDV, NYT, CLD, JHM, AAT, TOS\n- Travel distances (in kilometers) between each pair of airports:\nSFG to TOS: 9026\nSFG to CDV: 8425\nSFG to TBN: 3771\nSFG to AAT: 13296\nSFG to NYT: 16470\nSFG to JHM: 9946\nSFG to MQJ: 14419\nSFG to CLD: 5930\nTBN to TOS: 7817\nTBN to CDV: 5053\nTBN to AAT: 12834\nTBN to NYT: 14180\nTBN to JHM: 6922\nTBN to MQJ: 13800\nTBN to CLD: 2884\nMQJ to TOS: 7207\nMQJ to CDV: 13608\nMQJ to AAT: 5292\nMQJ to NYT: 6425\nMQJ to JHM: 9570\nMQJ to CLD: 12725\nCDV to TOS: 10337\nCDV to AAT: 13655\nCDV to NYT: 13811\nCDV to JHM: 4865\nCDV to CLD: 3793\nNYT to TOS: 9326\nNYT to AAT: 4029\nNYT to JHM: 10935\nNYT to CLD: 13188\nCLD to TOS: 9653\nCLD to AAT: 13032\nCLD to JHM: 4314\nJHM to TOS: 12625\nJHM to AAT: 11123\nAAT to TOS: 6151\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, TIP, SYO, TIR, GMO, MYJ, ASR, FRS, FMN\n- Travel distances (in kilometers) between each pair of airports:\nCIK to FRS: 7487\nCIK to TIP: 12804\nCIK to TIR: 16639\nCIK to FMN: 4847\nCIK to MYJ: 11123\nCIK to SYO: 10811\nCIK to ASR: 13306\nCIK to GMO: 15553\nTIP to FRS: 10212\nTIP to TIR: 7139\nTIP to FMN: 10326\nTIP to MYJ: 10296\nTIP to SYO: 11173\nTIP to ASR: 2256\nTIP to GMO: 4791\nSYO to FRS: 12822\nSYO to TIR: 7192\nSYO to FMN: 10174\nSYO to MYJ: 1036\nSYO to ASR: 10178\nSYO to GMO: 13871\nTIR to FRS: 16534\nTIR to FMN: 15541\nTIR to MYJ: 6159\nTIR to ASR: 6433\nTIR to GMO: 8668\nGMO to FRS: 12325\nGMO to FMN: 12344\nGMO to MYJ: 13010\nGMO to ASR: 5246\nMYJ to FRS: 13134\nMYJ to FMN: 10486\nMYJ to ASR: 9301\nASR to FRS: 11638\nASR to FMN: 10948\nFRS to FMN: 3588\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52246,
"style": "rule"
}
|
{
"exact_answer": 52246,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CIK\", \"id\": 0}, {\"name\": \"TIP\", \"id\": 1}, {\"name\": \"SYO\", \"id\": 2}, {\"name\": \"TIR\", \"id\": 3}, {\"name\": \"GMO\", \"id\": 4}, {\"name\": \"MYJ\", \"id\": 5}, {\"name\": \"ASR\", \"id\": 6}, {\"name\": \"FRS\", \"id\": 7}, {\"name\": \"FMN\", \"id\": 8}], \"links\": [{\"weight\": 7487, \"source\": 0, \"target\": 7}, {\"weight\": 12804, \"source\": 0, \"target\": 1}, {\"weight\": 16639, \"source\": 0, \"target\": 3}, {\"weight\": 4847, \"source\": 0, \"target\": 8}, {\"weight\": 11123, \"source\": 0, \"target\": 5}, {\"weight\": 10811, \"source\": 0, \"target\": 2}, {\"weight\": 13306, \"source\": 0, \"target\": 6}, {\"weight\": 15553, \"source\": 0, \"target\": 4}, {\"weight\": 10212, \"source\": 1, \"target\": 7}, {\"weight\": 7139, \"source\": 1, \"target\": 3}, {\"weight\": 10326, \"source\": 1, \"target\": 8}, {\"weight\": 10296, \"source\": 1, \"target\": 5}, {\"weight\": 11173, \"source\": 1, \"target\": 2}, {\"weight\": 2256, \"source\": 1, \"target\": 6}, {\"weight\": 4791, \"source\": 1, \"target\": 4}, {\"weight\": 12822, \"source\": 2, \"target\": 7}, {\"weight\": 7192, \"source\": 2, \"target\": 3}, {\"weight\": 10174, \"source\": 2, \"target\": 8}, {\"weight\": 1036, \"source\": 2, \"target\": 5}, {\"weight\": 10178, \"source\": 2, \"target\": 6}, {\"weight\": 13871, \"source\": 2, \"target\": 4}, {\"weight\": 16534, \"source\": 3, \"target\": 7}, {\"weight\": 15541, \"source\": 3, \"target\": 8}, {\"weight\": 6159, \"source\": 3, \"target\": 5}, {\"weight\": 6433, \"source\": 3, \"target\": 6}, {\"weight\": 8668, \"source\": 3, \"target\": 4}, {\"weight\": 12325, \"source\": 4, \"target\": 7}, {\"weight\": 12344, \"source\": 4, \"target\": 8}, {\"weight\": 13010, \"source\": 4, \"target\": 5}, {\"weight\": 5246, \"source\": 4, \"target\": 6}, {\"weight\": 13134, \"source\": 5, \"target\": 7}, {\"weight\": 10486, \"source\": 5, \"target\": 8}, {\"weight\": 9301, \"source\": 5, \"target\": 6}, {\"weight\": 11638, \"source\": 6, \"target\": 7}, {\"weight\": 10948, \"source\": 6, \"target\": 8}, {\"weight\": 3588, \"source\": 7, \"target\": 8}]}",
"id": 178,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CIK, TIP, SYO, TIR, GMO, MYJ, ASR, FRS, FMN\n- Travel distances (in kilometers) between each pair of airports:\nCIK to FRS: 7487\nCIK to TIP: 12804\nCIK to TIR: 16639\nCIK to FMN: 4847\nCIK to MYJ: 11123\nCIK to SYO: 10811\nCIK to ASR: 13306\nCIK to GMO: 15553\nTIP to FRS: 10212\nTIP to TIR: 7139\nTIP to FMN: 10326\nTIP to MYJ: 10296\nTIP to SYO: 11173\nTIP to ASR: 2256\nTIP to GMO: 4791\nSYO to FRS: 12822\nSYO to TIR: 7192\nSYO to FMN: 10174\nSYO to MYJ: 1036\nSYO to ASR: 10178\nSYO to GMO: 13871\nTIR to FRS: 16534\nTIR to FMN: 15541\nTIR to MYJ: 6159\nTIR to ASR: 6433\nTIR to GMO: 8668\nGMO to FRS: 12325\nGMO to FMN: 12344\nGMO to MYJ: 13010\nGMO to ASR: 5246\nMYJ to FRS: 13134\nMYJ to FMN: 10486\nMYJ to ASR: 9301\nASR to FRS: 11638\nASR to FMN: 10948\nFRS to FMN: 3588\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IGA, YAG, SCQ, EGO, ISU, IBR, XGR, LAX, FNC\n- Travel distances (in kilometers) between each pair of airports:\nIGA to EGO: 10235\nIGA to XGR: 4498\nIGA to LAX: 4649\nIGA to IBR: 13458\nIGA to FNC: 7439\nIGA to SCQ: 8482\nIGA to ISU: 11587\nIGA to YAG: 3892\nYAG to EGO: 9221\nYAG to XGR: 2571\nYAG to LAX: 2835\nYAG to IBR: 10182\nYAG to FNC: 6711\nYAG to SCQ: 7655\nYAG to ISU: 10852\nSCQ to EGO: 3650\nSCQ to XGR: 7100\nSCQ to LAX: 9871\nSCQ to IBR: 11083\nSCQ to FNC: 1930\nSCQ to ISU: 4619\nEGO to XGR: 8387\nEGO to LAX: 10647\nEGO to IBR: 8324\nEGO to FNC: 4979\nEGO to ISU: 2635\nISU to XGR: 9739\nISU to LAX: 12188\nISU to IBR: 8402\nISU to FNC: 5746\nIBR to XGR: 12207\nIBR to LAX: 9451\nIBR to FNC: 12423\nXGR to LAX: 4860\nXGR to FNC: 6842\nLAX to FNC: 8989\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43411,
"style": "rule"
}
|
{
"exact_answer": 43411,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IGA\", \"id\": 0}, {\"name\": \"YAG\", \"id\": 1}, {\"name\": \"SCQ\", \"id\": 2}, {\"name\": \"EGO\", \"id\": 3}, {\"name\": \"ISU\", \"id\": 4}, {\"name\": \"IBR\", \"id\": 5}, {\"name\": \"XGR\", \"id\": 6}, {\"name\": \"LAX\", \"id\": 7}, {\"name\": \"FNC\", \"id\": 8}], \"links\": [{\"weight\": 10235, \"source\": 0, \"target\": 3}, {\"weight\": 4498, \"source\": 0, \"target\": 6}, {\"weight\": 4649, \"source\": 0, \"target\": 7}, {\"weight\": 13458, \"source\": 0, \"target\": 5}, {\"weight\": 7439, \"source\": 0, \"target\": 8}, {\"weight\": 8482, \"source\": 0, \"target\": 2}, {\"weight\": 11587, \"source\": 0, \"target\": 4}, {\"weight\": 3892, \"source\": 0, \"target\": 1}, {\"weight\": 9221, \"source\": 1, \"target\": 3}, {\"weight\": 2571, \"source\": 1, \"target\": 6}, {\"weight\": 2835, \"source\": 1, \"target\": 7}, {\"weight\": 10182, \"source\": 1, \"target\": 5}, {\"weight\": 6711, \"source\": 1, \"target\": 8}, {\"weight\": 7655, \"source\": 1, \"target\": 2}, {\"weight\": 10852, \"source\": 1, \"target\": 4}, {\"weight\": 3650, \"source\": 2, \"target\": 3}, {\"weight\": 7100, \"source\": 2, \"target\": 6}, {\"weight\": 9871, \"source\": 2, \"target\": 7}, {\"weight\": 11083, \"source\": 2, \"target\": 5}, {\"weight\": 1930, \"source\": 2, \"target\": 8}, {\"weight\": 4619, \"source\": 2, \"target\": 4}, {\"weight\": 8387, \"source\": 3, \"target\": 6}, {\"weight\": 10647, \"source\": 3, \"target\": 7}, {\"weight\": 8324, \"source\": 3, \"target\": 5}, {\"weight\": 4979, \"source\": 3, \"target\": 8}, {\"weight\": 2635, \"source\": 3, \"target\": 4}, {\"weight\": 9739, \"source\": 4, \"target\": 6}, {\"weight\": 12188, \"source\": 4, \"target\": 7}, {\"weight\": 8402, \"source\": 4, \"target\": 5}, {\"weight\": 5746, \"source\": 4, \"target\": 8}, {\"weight\": 12207, \"source\": 5, \"target\": 6}, {\"weight\": 9451, \"source\": 5, \"target\": 7}, {\"weight\": 12423, \"source\": 5, \"target\": 8}, {\"weight\": 4860, \"source\": 6, \"target\": 7}, {\"weight\": 6842, \"source\": 6, \"target\": 8}, {\"weight\": 8989, \"source\": 7, \"target\": 8}]}",
"id": 179,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IGA, YAG, SCQ, EGO, ISU, IBR, XGR, LAX, FNC\n- Travel distances (in kilometers) between each pair of airports:\nIGA to EGO: 10235\nIGA to XGR: 4498\nIGA to LAX: 4649\nIGA to IBR: 13458\nIGA to FNC: 7439\nIGA to SCQ: 8482\nIGA to ISU: 11587\nIGA to YAG: 3892\nYAG to EGO: 9221\nYAG to XGR: 2571\nYAG to LAX: 2835\nYAG to IBR: 10182\nYAG to FNC: 6711\nYAG to SCQ: 7655\nYAG to ISU: 10852\nSCQ to EGO: 3650\nSCQ to XGR: 7100\nSCQ to LAX: 9871\nSCQ to IBR: 11083\nSCQ to FNC: 1930\nSCQ to ISU: 4619\nEGO to XGR: 8387\nEGO to LAX: 10647\nEGO to IBR: 8324\nEGO to FNC: 4979\nEGO to ISU: 2635\nISU to XGR: 9739\nISU to LAX: 12188\nISU to IBR: 8402\nISU to FNC: 5746\nIBR to XGR: 12207\nIBR to LAX: 9451\nIBR to FNC: 12423\nXGR to LAX: 4860\nXGR to FNC: 6842\nLAX to FNC: 8989\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OSL, XSC, KKC, KTG, NBX, YHK, IEV, SIP, PWE\n- Travel distances (in kilometers) between each pair of airports:\nOSL to YHK: 8809\nOSL to IEV: 1634\nOSL to KKC: 9049\nOSL to KTG: 10895\nOSL to NBX: 13562\nOSL to XSC: 8027\nOSL to PWE: 7242\nOSL to SIP: 2287\nXSC to YHK: 6908\nXSC to IEV: 9473\nXSC to KKC: 16840\nXSC to KTG: 18092\nXSC to NBX: 20040\nXSC to PWE: 15195\nXSC to SIP: 10110\nKKC to YHK: 15084\nKKC to IEV: 8038\nKKC to KTG: 2736\nKKC to NBX: 5443\nKKC to PWE: 13081\nKKC to SIP: 7630\nKTG to YHK: 15633\nKTG to IEV: 9985\nKTG to NBX: 2924\nKTG to PWE: 14874\nKTG to SIP: 9610\nNBX to YHK: 17594\nNBX to IEV: 12557\nNBX to PWE: 17676\nNBX to SIP: 12201\nYHK to IEV: 10443\nYHK to PWE: 15977\nYHK to SIP: 11096\nIEV to PWE: 6315\nIEV to SIP: 1828\nSIP to PWE: 7554\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61204,
"style": "rule"
}
|
{
"exact_answer": 61204,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OSL\", \"id\": 0}, {\"name\": \"XSC\", \"id\": 1}, {\"name\": \"KKC\", \"id\": 2}, {\"name\": \"KTG\", \"id\": 3}, {\"name\": \"NBX\", \"id\": 4}, {\"name\": \"YHK\", \"id\": 5}, {\"name\": \"IEV\", \"id\": 6}, {\"name\": \"SIP\", \"id\": 7}, {\"name\": \"PWE\", \"id\": 8}], \"links\": [{\"weight\": 8809, \"source\": 0, \"target\": 5}, {\"weight\": 1634, \"source\": 0, \"target\": 6}, {\"weight\": 9049, \"source\": 0, \"target\": 2}, {\"weight\": 10895, \"source\": 0, \"target\": 3}, {\"weight\": 13562, \"source\": 0, \"target\": 4}, {\"weight\": 8027, \"source\": 0, \"target\": 1}, {\"weight\": 7242, \"source\": 0, \"target\": 8}, {\"weight\": 2287, \"source\": 0, \"target\": 7}, {\"weight\": 6908, \"source\": 1, \"target\": 5}, {\"weight\": 9473, \"source\": 1, \"target\": 6}, {\"weight\": 16840, \"source\": 1, \"target\": 2}, {\"weight\": 18092, \"source\": 1, \"target\": 3}, {\"weight\": 20040, \"source\": 1, \"target\": 4}, {\"weight\": 15195, \"source\": 1, \"target\": 8}, {\"weight\": 10110, \"source\": 1, \"target\": 7}, {\"weight\": 15084, \"source\": 2, \"target\": 5}, {\"weight\": 8038, \"source\": 2, \"target\": 6}, {\"weight\": 2736, \"source\": 2, \"target\": 3}, {\"weight\": 5443, \"source\": 2, \"target\": 4}, {\"weight\": 13081, \"source\": 2, \"target\": 8}, {\"weight\": 7630, \"source\": 2, \"target\": 7}, {\"weight\": 15633, \"source\": 3, \"target\": 5}, {\"weight\": 9985, \"source\": 3, \"target\": 6}, {\"weight\": 2924, \"source\": 3, \"target\": 4}, {\"weight\": 14874, \"source\": 3, \"target\": 8}, {\"weight\": 9610, \"source\": 3, \"target\": 7}, {\"weight\": 17594, \"source\": 4, \"target\": 5}, {\"weight\": 12557, \"source\": 4, \"target\": 6}, {\"weight\": 17676, \"source\": 4, \"target\": 8}, {\"weight\": 12201, \"source\": 4, \"target\": 7}, {\"weight\": 10443, \"source\": 5, \"target\": 6}, {\"weight\": 15977, \"source\": 5, \"target\": 8}, {\"weight\": 11096, \"source\": 5, \"target\": 7}, {\"weight\": 6315, \"source\": 6, \"target\": 8}, {\"weight\": 1828, \"source\": 6, \"target\": 7}, {\"weight\": 7554, \"source\": 7, \"target\": 8}]}",
"id": 180,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OSL, XSC, KKC, KTG, NBX, YHK, IEV, SIP, PWE\n- Travel distances (in kilometers) between each pair of airports:\nOSL to YHK: 8809\nOSL to IEV: 1634\nOSL to KKC: 9049\nOSL to KTG: 10895\nOSL to NBX: 13562\nOSL to XSC: 8027\nOSL to PWE: 7242\nOSL to SIP: 2287\nXSC to YHK: 6908\nXSC to IEV: 9473\nXSC to KKC: 16840\nXSC to KTG: 18092\nXSC to NBX: 20040\nXSC to PWE: 15195\nXSC to SIP: 10110\nKKC to YHK: 15084\nKKC to IEV: 8038\nKKC to KTG: 2736\nKKC to NBX: 5443\nKKC to PWE: 13081\nKKC to SIP: 7630\nKTG to YHK: 15633\nKTG to IEV: 9985\nKTG to NBX: 2924\nKTG to PWE: 14874\nKTG to SIP: 9610\nNBX to YHK: 17594\nNBX to IEV: 12557\nNBX to PWE: 17676\nNBX to SIP: 12201\nYHK to IEV: 10443\nYHK to PWE: 15977\nYHK to SIP: 11096\nIEV to PWE: 6315\nIEV to SIP: 1828\nSIP to PWE: 7554\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADE, LNE, MQM, WGA, YKT, BUW, MXP, ADA, AKF\n- Travel distances (in kilometers) between each pair of airports:\nADE to MXP: 4995\nADE to YKT: 13854\nADE to ADA: 2905\nADE to AKF: 4289\nADE to BUW: 9177\nADE to LNE: 14800\nADE to MQM: 3996\nADE to WGA: 13354\nLNE to MXP: 17313\nLNE to YKT: 11172\nLNE to ADA: 15593\nLNE to AKF: 18055\nLNE to BUW: 7382\nLNE to MQM: 16496\nLNE to WGA: 3052\nMQM to MXP: 2800\nMQM to YKT: 11444\nMQM to ADA: 1139\nMQM to AKF: 3308\nMQM to BUW: 11250\nMQM to WGA: 15400\nWGA to MXP: 16706\nWGA to YKT: 13408\nWGA to ADA: 14421\nWGA to AKF: 16386\nWGA to BUW: 5716\nYKT to MXP: 9014\nYKT to ADA: 11061\nYKT to AKF: 11803\nYKT to BUW: 13901\nBUW to MXP: 12515\nBUW to ADA: 10269\nBUW to AKF: 12469\nMXP to ADA: 2414\nMXP to AKF: 2805\nADA to AKF: 2922\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48288,
"style": "rule"
}
|
{
"exact_answer": 48288,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ADE\", \"id\": 0}, {\"name\": \"LNE\", \"id\": 1}, {\"name\": \"MQM\", \"id\": 2}, {\"name\": \"WGA\", \"id\": 3}, {\"name\": \"YKT\", \"id\": 4}, {\"name\": \"BUW\", \"id\": 5}, {\"name\": \"MXP\", \"id\": 6}, {\"name\": \"ADA\", \"id\": 7}, {\"name\": \"AKF\", \"id\": 8}], \"links\": [{\"weight\": 4995, \"source\": 0, \"target\": 6}, {\"weight\": 13854, \"source\": 0, \"target\": 4}, {\"weight\": 2905, \"source\": 0, \"target\": 7}, {\"weight\": 4289, \"source\": 0, \"target\": 8}, {\"weight\": 9177, \"source\": 0, \"target\": 5}, {\"weight\": 14800, \"source\": 0, \"target\": 1}, {\"weight\": 3996, \"source\": 0, \"target\": 2}, {\"weight\": 13354, \"source\": 0, \"target\": 3}, {\"weight\": 17313, \"source\": 1, \"target\": 6}, {\"weight\": 11172, \"source\": 1, \"target\": 4}, {\"weight\": 15593, \"source\": 1, \"target\": 7}, {\"weight\": 18055, \"source\": 1, \"target\": 8}, {\"weight\": 7382, \"source\": 1, \"target\": 5}, {\"weight\": 16496, \"source\": 1, \"target\": 2}, {\"weight\": 3052, \"source\": 1, \"target\": 3}, {\"weight\": 2800, \"source\": 2, \"target\": 6}, {\"weight\": 11444, \"source\": 2, \"target\": 4}, {\"weight\": 1139, \"source\": 2, \"target\": 7}, {\"weight\": 3308, \"source\": 2, \"target\": 8}, {\"weight\": 11250, \"source\": 2, \"target\": 5}, {\"weight\": 15400, \"source\": 2, \"target\": 3}, {\"weight\": 16706, \"source\": 3, \"target\": 6}, {\"weight\": 13408, \"source\": 3, \"target\": 4}, {\"weight\": 14421, \"source\": 3, \"target\": 7}, {\"weight\": 16386, \"source\": 3, \"target\": 8}, {\"weight\": 5716, \"source\": 3, \"target\": 5}, {\"weight\": 9014, \"source\": 4, \"target\": 6}, {\"weight\": 11061, \"source\": 4, \"target\": 7}, {\"weight\": 11803, \"source\": 4, \"target\": 8}, {\"weight\": 13901, \"source\": 4, \"target\": 5}, {\"weight\": 12515, \"source\": 5, \"target\": 6}, {\"weight\": 10269, \"source\": 5, \"target\": 7}, {\"weight\": 12469, \"source\": 5, \"target\": 8}, {\"weight\": 2414, \"source\": 6, \"target\": 7}, {\"weight\": 2805, \"source\": 6, \"target\": 8}, {\"weight\": 2922, \"source\": 7, \"target\": 8}]}",
"id": 181,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADE, LNE, MQM, WGA, YKT, BUW, MXP, ADA, AKF\n- Travel distances (in kilometers) between each pair of airports:\nADE to MXP: 4995\nADE to YKT: 13854\nADE to ADA: 2905\nADE to AKF: 4289\nADE to BUW: 9177\nADE to LNE: 14800\nADE to MQM: 3996\nADE to WGA: 13354\nLNE to MXP: 17313\nLNE to YKT: 11172\nLNE to ADA: 15593\nLNE to AKF: 18055\nLNE to BUW: 7382\nLNE to MQM: 16496\nLNE to WGA: 3052\nMQM to MXP: 2800\nMQM to YKT: 11444\nMQM to ADA: 1139\nMQM to AKF: 3308\nMQM to BUW: 11250\nMQM to WGA: 15400\nWGA to MXP: 16706\nWGA to YKT: 13408\nWGA to ADA: 14421\nWGA to AKF: 16386\nWGA to BUW: 5716\nYKT to MXP: 9014\nYKT to ADA: 11061\nYKT to AKF: 11803\nYKT to BUW: 13901\nBUW to MXP: 12515\nBUW to ADA: 10269\nBUW to AKF: 12469\nMXP to ADA: 2414\nMXP to AKF: 2805\nADA to AKF: 2922\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, PDX, VII, MSN, GOT, AVL, MCY, HIJ, DHB\n- Travel distances (in kilometers) between each pair of airports:\nAGB to GOT: 2366\nAGB to AVL: 8152\nAGB to PDX: 9591\nAGB to MSN: 8062\nAGB to VII: 10354\nAGB to HIJ: 10626\nAGB to MCY: 18459\nAGB to DHB: 9553\nPDX to GOT: 8019\nPDX to AVL: 3654\nPDX to MSN: 2654\nPDX to VII: 11496\nPDX to HIJ: 8436\nPDX to MCY: 13194\nPDX to DHB: 363\nVII to GOT: 8542\nVII to AVL: 14012\nVII to MSN: 13345\nVII to HIJ: 3314\nVII to MCY: 8566\nVII to DHB: 11443\nMSN to GOT: 7012\nMSN to AVL: 1037\nMSN to HIJ: 10612\nMSN to MCY: 15606\nMSN to DHB: 2764\nGOT to AVL: 7158\nGOT to HIJ: 8487\nGOT to MCY: 16820\nGOT to DHB: 7966\nAVL to HIJ: 11630\nAVL to MCY: 16082\nAVL to DHB: 3779\nMCY to HIJ: 9361\nMCY to DHB: 13468\nHIJ to DHB: 8503\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48243,
"style": "rule"
}
|
{
"exact_answer": 48243,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AGB\", \"id\": 0}, {\"name\": \"PDX\", \"id\": 1}, {\"name\": \"VII\", \"id\": 2}, {\"name\": \"MSN\", \"id\": 3}, {\"name\": \"GOT\", \"id\": 4}, {\"name\": \"AVL\", \"id\": 5}, {\"name\": \"MCY\", \"id\": 6}, {\"name\": \"HIJ\", \"id\": 7}, {\"name\": \"DHB\", \"id\": 8}], \"links\": [{\"weight\": 2366, \"source\": 0, \"target\": 4}, {\"weight\": 8152, \"source\": 0, \"target\": 5}, {\"weight\": 9591, \"source\": 0, \"target\": 1}, {\"weight\": 8062, \"source\": 0, \"target\": 3}, {\"weight\": 10354, \"source\": 0, \"target\": 2}, {\"weight\": 10626, \"source\": 0, \"target\": 7}, {\"weight\": 18459, \"source\": 0, \"target\": 6}, {\"weight\": 9553, \"source\": 0, \"target\": 8}, {\"weight\": 8019, \"source\": 1, \"target\": 4}, {\"weight\": 3654, \"source\": 1, \"target\": 5}, {\"weight\": 2654, \"source\": 1, \"target\": 3}, {\"weight\": 11496, \"source\": 1, \"target\": 2}, {\"weight\": 8436, \"source\": 1, \"target\": 7}, {\"weight\": 13194, \"source\": 1, \"target\": 6}, {\"weight\": 363, \"source\": 1, \"target\": 8}, {\"weight\": 8542, \"source\": 2, \"target\": 4}, {\"weight\": 14012, \"source\": 2, \"target\": 5}, {\"weight\": 13345, \"source\": 2, \"target\": 3}, {\"weight\": 3314, \"source\": 2, \"target\": 7}, {\"weight\": 8566, \"source\": 2, \"target\": 6}, {\"weight\": 11443, \"source\": 2, \"target\": 8}, {\"weight\": 7012, \"source\": 3, \"target\": 4}, {\"weight\": 1037, \"source\": 3, \"target\": 5}, {\"weight\": 10612, \"source\": 3, \"target\": 7}, {\"weight\": 15606, \"source\": 3, \"target\": 6}, {\"weight\": 2764, \"source\": 3, \"target\": 8}, {\"weight\": 7158, \"source\": 4, \"target\": 5}, {\"weight\": 8487, \"source\": 4, \"target\": 7}, {\"weight\": 16820, \"source\": 4, \"target\": 6}, {\"weight\": 7966, \"source\": 4, \"target\": 8}, {\"weight\": 11630, \"source\": 5, \"target\": 7}, {\"weight\": 16082, \"source\": 5, \"target\": 6}, {\"weight\": 3779, \"source\": 5, \"target\": 8}, {\"weight\": 9361, \"source\": 6, \"target\": 7}, {\"weight\": 13468, \"source\": 6, \"target\": 8}, {\"weight\": 8503, \"source\": 7, \"target\": 8}]}",
"id": 182,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, PDX, VII, MSN, GOT, AVL, MCY, HIJ, DHB\n- Travel distances (in kilometers) between each pair of airports:\nAGB to GOT: 2366\nAGB to AVL: 8152\nAGB to PDX: 9591\nAGB to MSN: 8062\nAGB to VII: 10354\nAGB to HIJ: 10626\nAGB to MCY: 18459\nAGB to DHB: 9553\nPDX to GOT: 8019\nPDX to AVL: 3654\nPDX to MSN: 2654\nPDX to VII: 11496\nPDX to HIJ: 8436\nPDX to MCY: 13194\nPDX to DHB: 363\nVII to GOT: 8542\nVII to AVL: 14012\nVII to MSN: 13345\nVII to HIJ: 3314\nVII to MCY: 8566\nVII to DHB: 11443\nMSN to GOT: 7012\nMSN to AVL: 1037\nMSN to HIJ: 10612\nMSN to MCY: 15606\nMSN to DHB: 2764\nGOT to AVL: 7158\nGOT to HIJ: 8487\nGOT to MCY: 16820\nGOT to DHB: 7966\nAVL to HIJ: 11630\nAVL to MCY: 16082\nAVL to DHB: 3779\nMCY to HIJ: 9361\nMCY to DHB: 13468\nHIJ to DHB: 8503\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXB, TGZ, MSY, SVQ, CJL, GRK, BWA, HRE, URS\n- Travel distances (in kilometers) between each pair of airports:\nIXB to TGZ: 16196\nIXB to MSY: 14494\nIXB to GRK: 14651\nIXB to SVQ: 8679\nIXB to HRE: 8495\nIXB to CJL: 2084\nIXB to URS: 5945\nIXB to BWA: 728\nTGZ to MSY: 2409\nTGZ to GRK: 2186\nTGZ to SVQ: 8667\nTGZ to HRE: 14465\nTGZ to CJL: 14683\nTGZ to URS: 11254\nTGZ to BWA: 16078\nMSY to GRK: 755\nMSY to SVQ: 7621\nMSY to HRE: 14308\nMSY to CJL: 13051\nMSY to URS: 9709\nMSY to BWA: 14376\nSVQ to GRK: 8169\nSVQ to HRE: 8133\nSVQ to CJL: 7010\nSVQ to URS: 4229\nSVQ to BWA: 8487\nCJL to GRK: 13408\nCJL to HRE: 7423\nCJL to URS: 4355\nCJL to BWA: 1966\nGRK to HRE: 14914\nGRK to URS: 10066\nGRK to BWA: 14533\nBWA to HRE: 8270\nBWA to URS: 5827\nHRE to URS: 8763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44693,
"style": "rule"
}
|
{
"exact_answer": 44693,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXB\", \"id\": 0}, {\"name\": \"TGZ\", \"id\": 1}, {\"name\": \"MSY\", \"id\": 2}, {\"name\": \"SVQ\", \"id\": 3}, {\"name\": \"CJL\", \"id\": 4}, {\"name\": \"GRK\", \"id\": 5}, {\"name\": \"BWA\", \"id\": 6}, {\"name\": \"HRE\", \"id\": 7}, {\"name\": \"URS\", \"id\": 8}], \"links\": [{\"weight\": 16196, \"source\": 0, \"target\": 1}, {\"weight\": 14494, \"source\": 0, \"target\": 2}, {\"weight\": 14651, \"source\": 0, \"target\": 5}, {\"weight\": 8679, \"source\": 0, \"target\": 3}, {\"weight\": 8495, \"source\": 0, \"target\": 7}, {\"weight\": 2084, \"source\": 0, \"target\": 4}, {\"weight\": 5945, \"source\": 0, \"target\": 8}, {\"weight\": 728, \"source\": 0, \"target\": 6}, {\"weight\": 2409, \"source\": 1, \"target\": 2}, {\"weight\": 2186, \"source\": 1, \"target\": 5}, {\"weight\": 8667, \"source\": 1, \"target\": 3}, {\"weight\": 14465, \"source\": 1, \"target\": 7}, {\"weight\": 14683, \"source\": 1, \"target\": 4}, {\"weight\": 11254, \"source\": 1, \"target\": 8}, {\"weight\": 16078, \"source\": 1, \"target\": 6}, {\"weight\": 755, \"source\": 2, \"target\": 5}, {\"weight\": 7621, \"source\": 2, \"target\": 3}, {\"weight\": 14308, \"source\": 2, \"target\": 7}, {\"weight\": 13051, \"source\": 2, \"target\": 4}, {\"weight\": 9709, \"source\": 2, \"target\": 8}, {\"weight\": 14376, \"source\": 2, \"target\": 6}, {\"weight\": 8169, \"source\": 3, \"target\": 5}, {\"weight\": 8133, \"source\": 3, \"target\": 7}, {\"weight\": 7010, \"source\": 3, \"target\": 4}, {\"weight\": 4229, \"source\": 3, \"target\": 8}, {\"weight\": 8487, \"source\": 3, \"target\": 6}, {\"weight\": 13408, \"source\": 4, \"target\": 5}, {\"weight\": 7423, \"source\": 4, \"target\": 7}, {\"weight\": 4355, \"source\": 4, \"target\": 8}, {\"weight\": 1966, \"source\": 4, \"target\": 6}, {\"weight\": 14914, \"source\": 5, \"target\": 7}, {\"weight\": 10066, \"source\": 5, \"target\": 8}, {\"weight\": 14533, \"source\": 5, \"target\": 6}, {\"weight\": 8270, \"source\": 6, \"target\": 7}, {\"weight\": 5827, \"source\": 6, \"target\": 8}, {\"weight\": 8763, \"source\": 7, \"target\": 8}]}",
"id": 183,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXB, TGZ, MSY, SVQ, CJL, GRK, BWA, HRE, URS\n- Travel distances (in kilometers) between each pair of airports:\nIXB to TGZ: 16196\nIXB to MSY: 14494\nIXB to GRK: 14651\nIXB to SVQ: 8679\nIXB to HRE: 8495\nIXB to CJL: 2084\nIXB to URS: 5945\nIXB to BWA: 728\nTGZ to MSY: 2409\nTGZ to GRK: 2186\nTGZ to SVQ: 8667\nTGZ to HRE: 14465\nTGZ to CJL: 14683\nTGZ to URS: 11254\nTGZ to BWA: 16078\nMSY to GRK: 755\nMSY to SVQ: 7621\nMSY to HRE: 14308\nMSY to CJL: 13051\nMSY to URS: 9709\nMSY to BWA: 14376\nSVQ to GRK: 8169\nSVQ to HRE: 8133\nSVQ to CJL: 7010\nSVQ to URS: 4229\nSVQ to BWA: 8487\nCJL to GRK: 13408\nCJL to HRE: 7423\nCJL to URS: 4355\nCJL to BWA: 1966\nGRK to HRE: 14914\nGRK to URS: 10066\nGRK to BWA: 14533\nBWA to HRE: 8270\nBWA to URS: 5827\nHRE to URS: 8763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JBR, HPB, AUR, IBE, VQS, JSH, IJK, GKK, CHU\n- Travel distances (in kilometers) between each pair of airports:\nJBR to CHU: 5615\nJBR to HPB: 5972\nJBR to IJK: 9672\nJBR to VQS: 3657\nJBR to JSH: 9857\nJBR to AUR: 7833\nJBR to IBE: 4594\nJBR to GKK: 15769\nHPB to CHU: 420\nHPB to IJK: 13149\nHPB to VQS: 8852\nHPB to JSH: 13579\nHPB to AUR: 11702\nHPB to IBE: 9826\nHPB to GKK: 18143\nAUR to CHU: 11345\nAUR to IJK: 3907\nAUR to VQS: 7417\nAUR to JSH: 2888\nAUR to IBE: 9174\nAUR to GKK: 9092\nIBE to CHU: 9469\nIBE to IJK: 11864\nIBE to VQS: 1941\nIBE to JSH: 10878\nIBE to GKK: 17153\nVQS to CHU: 8495\nVQS to IJK: 10360\nVQS to JSH: 9455\nVQS to GKK: 15659\nJSH to CHU: 13222\nJSH to IJK: 3449\nJSH to GKK: 6980\nIJK to CHU: 12792\nIJK to GKK: 7018\nGKK to CHU: 17786\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50022,
"style": "rule"
}
|
{
"exact_answer": 50022,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JBR\", \"id\": 0}, {\"name\": \"HPB\", \"id\": 1}, {\"name\": \"AUR\", \"id\": 2}, {\"name\": \"IBE\", \"id\": 3}, {\"name\": \"VQS\", \"id\": 4}, {\"name\": \"JSH\", \"id\": 5}, {\"name\": \"IJK\", \"id\": 6}, {\"name\": \"GKK\", \"id\": 7}, {\"name\": \"CHU\", \"id\": 8}], \"links\": [{\"weight\": 5615, \"source\": 0, \"target\": 8}, {\"weight\": 5972, \"source\": 0, \"target\": 1}, {\"weight\": 9672, \"source\": 0, \"target\": 6}, {\"weight\": 3657, \"source\": 0, \"target\": 4}, {\"weight\": 9857, \"source\": 0, \"target\": 5}, {\"weight\": 7833, \"source\": 0, \"target\": 2}, {\"weight\": 4594, \"source\": 0, \"target\": 3}, {\"weight\": 15769, \"source\": 0, \"target\": 7}, {\"weight\": 420, \"source\": 1, \"target\": 8}, {\"weight\": 13149, \"source\": 1, \"target\": 6}, {\"weight\": 8852, \"source\": 1, \"target\": 4}, {\"weight\": 13579, \"source\": 1, \"target\": 5}, {\"weight\": 11702, \"source\": 1, \"target\": 2}, {\"weight\": 9826, \"source\": 1, \"target\": 3}, {\"weight\": 18143, \"source\": 1, \"target\": 7}, {\"weight\": 11345, \"source\": 2, \"target\": 8}, {\"weight\": 3907, \"source\": 2, \"target\": 6}, {\"weight\": 7417, \"source\": 2, \"target\": 4}, {\"weight\": 2888, \"source\": 2, \"target\": 5}, {\"weight\": 9174, \"source\": 2, \"target\": 3}, {\"weight\": 9092, \"source\": 2, \"target\": 7}, {\"weight\": 9469, \"source\": 3, \"target\": 8}, {\"weight\": 11864, \"source\": 3, \"target\": 6}, {\"weight\": 1941, \"source\": 3, \"target\": 4}, {\"weight\": 10878, \"source\": 3, \"target\": 5}, {\"weight\": 17153, \"source\": 3, \"target\": 7}, {\"weight\": 8495, \"source\": 4, \"target\": 8}, {\"weight\": 10360, \"source\": 4, \"target\": 6}, {\"weight\": 9455, \"source\": 4, \"target\": 5}, {\"weight\": 15659, \"source\": 4, \"target\": 7}, {\"weight\": 13222, \"source\": 5, \"target\": 8}, {\"weight\": 3449, \"source\": 5, \"target\": 6}, {\"weight\": 6980, \"source\": 5, \"target\": 7}, {\"weight\": 12792, \"source\": 6, \"target\": 8}, {\"weight\": 7018, \"source\": 6, \"target\": 7}, {\"weight\": 17786, \"source\": 7, \"target\": 8}]}",
"id": 184,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JBR, HPB, AUR, IBE, VQS, JSH, IJK, GKK, CHU\n- Travel distances (in kilometers) between each pair of airports:\nJBR to CHU: 5615\nJBR to HPB: 5972\nJBR to IJK: 9672\nJBR to VQS: 3657\nJBR to JSH: 9857\nJBR to AUR: 7833\nJBR to IBE: 4594\nJBR to GKK: 15769\nHPB to CHU: 420\nHPB to IJK: 13149\nHPB to VQS: 8852\nHPB to JSH: 13579\nHPB to AUR: 11702\nHPB to IBE: 9826\nHPB to GKK: 18143\nAUR to CHU: 11345\nAUR to IJK: 3907\nAUR to VQS: 7417\nAUR to JSH: 2888\nAUR to IBE: 9174\nAUR to GKK: 9092\nIBE to CHU: 9469\nIBE to IJK: 11864\nIBE to VQS: 1941\nIBE to JSH: 10878\nIBE to GKK: 17153\nVQS to CHU: 8495\nVQS to IJK: 10360\nVQS to JSH: 9455\nVQS to GKK: 15659\nJSH to CHU: 13222\nJSH to IJK: 3449\nJSH to GKK: 6980\nIJK to CHU: 12792\nIJK to GKK: 7018\nGKK to CHU: 17786\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WVB, CUN, PKU, MAS, POL, WNP, PBJ, RDZ, SSR\n- Travel distances (in kilometers) between each pair of airports:\nWVB to CUN: 13347\nWVB to WNP: 12682\nWVB to RDZ: 9132\nWVB to PKU: 10185\nWVB to MAS: 14821\nWVB to POL: 3362\nWVB to PBJ: 15065\nWVB to SSR: 15258\nCUN to WNP: 15289\nCUN to RDZ: 8723\nCUN to PKU: 17511\nCUN to MAS: 16506\nCUN to POL: 15536\nCUN to PBJ: 13403\nCUN to SSR: 13632\nPKU to WNP: 2937\nPKU to RDZ: 11227\nPKU to MAS: 6055\nPKU to POL: 8972\nPKU to PBJ: 8064\nPKU to SSR: 8293\nMAS to WNP: 5012\nMAS to RDZ: 15963\nMAS to POL: 14250\nMAS to PBJ: 3649\nMAS to SSR: 3878\nPOL to WNP: 11028\nPOL to RDZ: 8504\nPOL to PBJ: 14797\nPOL to SSR: 14828\nWNP to RDZ: 11487\nWNP to PBJ: 7021\nWNP to SSR: 7250\nPBJ to RDZ: 17871\nPBJ to SSR: 275\nRDZ to SSR: 18100\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55694,
"style": "rule"
}
|
{
"exact_answer": 55694,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WVB\", \"id\": 0}, {\"name\": \"CUN\", \"id\": 1}, {\"name\": \"PKU\", \"id\": 2}, {\"name\": \"MAS\", \"id\": 3}, {\"name\": \"POL\", \"id\": 4}, {\"name\": \"WNP\", \"id\": 5}, {\"name\": \"PBJ\", \"id\": 6}, {\"name\": \"RDZ\", \"id\": 7}, {\"name\": \"SSR\", \"id\": 8}], \"links\": [{\"weight\": 13347, \"source\": 0, \"target\": 1}, {\"weight\": 12682, \"source\": 0, \"target\": 5}, {\"weight\": 9132, \"source\": 0, \"target\": 7}, {\"weight\": 10185, \"source\": 0, \"target\": 2}, {\"weight\": 14821, \"source\": 0, \"target\": 3}, {\"weight\": 3362, \"source\": 0, \"target\": 4}, {\"weight\": 15065, \"source\": 0, \"target\": 6}, {\"weight\": 15258, \"source\": 0, \"target\": 8}, {\"weight\": 15289, \"source\": 1, \"target\": 5}, {\"weight\": 8723, \"source\": 1, \"target\": 7}, {\"weight\": 17511, \"source\": 1, \"target\": 2}, {\"weight\": 16506, \"source\": 1, \"target\": 3}, {\"weight\": 15536, \"source\": 1, \"target\": 4}, {\"weight\": 13403, \"source\": 1, \"target\": 6}, {\"weight\": 13632, \"source\": 1, \"target\": 8}, {\"weight\": 2937, \"source\": 2, \"target\": 5}, {\"weight\": 11227, \"source\": 2, \"target\": 7}, {\"weight\": 6055, \"source\": 2, \"target\": 3}, {\"weight\": 8972, \"source\": 2, \"target\": 4}, {\"weight\": 8064, \"source\": 2, \"target\": 6}, {\"weight\": 8293, \"source\": 2, \"target\": 8}, {\"weight\": 5012, \"source\": 3, \"target\": 5}, {\"weight\": 15963, \"source\": 3, \"target\": 7}, {\"weight\": 14250, \"source\": 3, \"target\": 4}, {\"weight\": 3649, \"source\": 3, \"target\": 6}, {\"weight\": 3878, \"source\": 3, \"target\": 8}, {\"weight\": 11028, \"source\": 4, \"target\": 5}, {\"weight\": 8504, \"source\": 4, \"target\": 7}, {\"weight\": 14797, \"source\": 4, \"target\": 6}, {\"weight\": 14828, \"source\": 4, \"target\": 8}, {\"weight\": 11487, \"source\": 5, \"target\": 7}, {\"weight\": 7021, \"source\": 5, \"target\": 6}, {\"weight\": 7250, \"source\": 5, \"target\": 8}, {\"weight\": 17871, \"source\": 6, \"target\": 7}, {\"weight\": 275, \"source\": 6, \"target\": 8}, {\"weight\": 18100, \"source\": 7, \"target\": 8}]}",
"id": 185,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WVB, CUN, PKU, MAS, POL, WNP, PBJ, RDZ, SSR\n- Travel distances (in kilometers) between each pair of airports:\nWVB to CUN: 13347\nWVB to WNP: 12682\nWVB to RDZ: 9132\nWVB to PKU: 10185\nWVB to MAS: 14821\nWVB to POL: 3362\nWVB to PBJ: 15065\nWVB to SSR: 15258\nCUN to WNP: 15289\nCUN to RDZ: 8723\nCUN to PKU: 17511\nCUN to MAS: 16506\nCUN to POL: 15536\nCUN to PBJ: 13403\nCUN to SSR: 13632\nPKU to WNP: 2937\nPKU to RDZ: 11227\nPKU to MAS: 6055\nPKU to POL: 8972\nPKU to PBJ: 8064\nPKU to SSR: 8293\nMAS to WNP: 5012\nMAS to RDZ: 15963\nMAS to POL: 14250\nMAS to PBJ: 3649\nMAS to SSR: 3878\nPOL to WNP: 11028\nPOL to RDZ: 8504\nPOL to PBJ: 14797\nPOL to SSR: 14828\nWNP to RDZ: 11487\nWNP to PBJ: 7021\nWNP to SSR: 7250\nPBJ to RDZ: 17871\nPBJ to SSR: 275\nRDZ to SSR: 18100\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PUS, SXF, CTM, MRD, SJC, KET, MUW, PLO, JNX\n- Travel distances (in kilometers) between each pair of airports:\nPUS to CTM: 13424\nPUS to SXF: 8591\nPUS to MRD: 15630\nPUS to JNX: 8985\nPUS to SJC: 9314\nPUS to MUW: 10639\nPUS to PLO: 8482\nPUS to KET: 4061\nSXF to CTM: 10884\nSXF to MRD: 9036\nSXF to JNX: 1954\nSXF to SJC: 9363\nSXF to MUW: 2242\nSXF to PLO: 15655\nSXF to KET: 8855\nCTM to MRD: 5218\nCTM to JNX: 12587\nCTM to SJC: 4126\nCTM to MUW: 11245\nCTM to PLO: 17031\nCTM to KET: 16993\nMRD to JNX: 10048\nMRD to SJC: 6730\nMRD to MUW: 8440\nMRD to PLO: 18165\nMRD to KET: 17655\nSJC to JNX: 11281\nSJC to MUW: 10649\nSJC to PLO: 13302\nSJC to KET: 13223\nKET to JNX: 8106\nKET to MUW: 10090\nKET to PLO: 8184\nMUW to JNX: 2363\nMUW to PLO: 16640\nPLO to JNX: 14679\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55931,
"style": "rule"
}
|
{
"exact_answer": 55931,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PUS\", \"id\": 0}, {\"name\": \"SXF\", \"id\": 1}, {\"name\": \"CTM\", \"id\": 2}, {\"name\": \"MRD\", \"id\": 3}, {\"name\": \"SJC\", \"id\": 4}, {\"name\": \"KET\", \"id\": 5}, {\"name\": \"MUW\", \"id\": 6}, {\"name\": \"PLO\", \"id\": 7}, {\"name\": \"JNX\", \"id\": 8}], \"links\": [{\"weight\": 13424, \"source\": 0, \"target\": 2}, {\"weight\": 8591, \"source\": 0, \"target\": 1}, {\"weight\": 15630, \"source\": 0, \"target\": 3}, {\"weight\": 8985, \"source\": 0, \"target\": 8}, {\"weight\": 9314, \"source\": 0, \"target\": 4}, {\"weight\": 10639, \"source\": 0, \"target\": 6}, {\"weight\": 8482, \"source\": 0, \"target\": 7}, {\"weight\": 4061, \"source\": 0, \"target\": 5}, {\"weight\": 10884, \"source\": 1, \"target\": 2}, {\"weight\": 9036, \"source\": 1, \"target\": 3}, {\"weight\": 1954, \"source\": 1, \"target\": 8}, {\"weight\": 9363, \"source\": 1, \"target\": 4}, {\"weight\": 2242, \"source\": 1, \"target\": 6}, {\"weight\": 15655, \"source\": 1, \"target\": 7}, {\"weight\": 8855, \"source\": 1, \"target\": 5}, {\"weight\": 5218, \"source\": 2, \"target\": 3}, {\"weight\": 12587, \"source\": 2, \"target\": 8}, {\"weight\": 4126, \"source\": 2, \"target\": 4}, {\"weight\": 11245, \"source\": 2, \"target\": 6}, {\"weight\": 17031, \"source\": 2, \"target\": 7}, {\"weight\": 16993, \"source\": 2, \"target\": 5}, {\"weight\": 10048, \"source\": 3, \"target\": 8}, {\"weight\": 6730, \"source\": 3, \"target\": 4}, {\"weight\": 8440, \"source\": 3, \"target\": 6}, {\"weight\": 18165, \"source\": 3, \"target\": 7}, {\"weight\": 17655, \"source\": 3, \"target\": 5}, {\"weight\": 11281, \"source\": 4, \"target\": 8}, {\"weight\": 10649, \"source\": 4, \"target\": 6}, {\"weight\": 13302, \"source\": 4, \"target\": 7}, {\"weight\": 13223, \"source\": 4, \"target\": 5}, {\"weight\": 8106, \"source\": 5, \"target\": 8}, {\"weight\": 10090, \"source\": 5, \"target\": 6}, {\"weight\": 8184, \"source\": 5, \"target\": 7}, {\"weight\": 2363, \"source\": 6, \"target\": 8}, {\"weight\": 16640, \"source\": 6, \"target\": 7}, {\"weight\": 14679, \"source\": 7, \"target\": 8}]}",
"id": 186,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PUS, SXF, CTM, MRD, SJC, KET, MUW, PLO, JNX\n- Travel distances (in kilometers) between each pair of airports:\nPUS to CTM: 13424\nPUS to SXF: 8591\nPUS to MRD: 15630\nPUS to JNX: 8985\nPUS to SJC: 9314\nPUS to MUW: 10639\nPUS to PLO: 8482\nPUS to KET: 4061\nSXF to CTM: 10884\nSXF to MRD: 9036\nSXF to JNX: 1954\nSXF to SJC: 9363\nSXF to MUW: 2242\nSXF to PLO: 15655\nSXF to KET: 8855\nCTM to MRD: 5218\nCTM to JNX: 12587\nCTM to SJC: 4126\nCTM to MUW: 11245\nCTM to PLO: 17031\nCTM to KET: 16993\nMRD to JNX: 10048\nMRD to SJC: 6730\nMRD to MUW: 8440\nMRD to PLO: 18165\nMRD to KET: 17655\nSJC to JNX: 11281\nSJC to MUW: 10649\nSJC to PLO: 13302\nSJC to KET: 13223\nKET to JNX: 8106\nKET to MUW: 10090\nKET to PLO: 8184\nMUW to JNX: 2363\nMUW to PLO: 16640\nPLO to JNX: 14679\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BCN, TZX, LTO, CBO, KOT, NME, BVH, FMO, RTW\n- Travel distances (in kilometers) between each pair of airports:\nBCN to CBO: 12108\nBCN to NME: 11930\nBCN to RTW: 3578\nBCN to KOT: 11926\nBCN to TZX: 3145\nBCN to FMO: 1333\nBCN to BVH: 9593\nBCN to LTO: 10984\nTZX to CBO: 9506\nTZX to NME: 13680\nTZX to RTW: 2066\nTZX to KOT: 13676\nTZX to FMO: 2994\nTZX to BVH: 12594\nTZX to LTO: 12545\nLTO to CBO: 13743\nLTO to NME: 5683\nLTO to RTW: 11999\nLTO to KOT: 5679\nLTO to FMO: 10479\nLTO to BVH: 10934\nCBO to NME: 14681\nCBO to RTW: 8982\nCBO to KOT: 14677\nCBO to FMO: 11166\nCBO to BVH: 21196\nKOT to NME: 471\nKOT to RTW: 12997\nKOT to FMO: 11286\nKOT to BVH: 13573\nNME to RTW: 13001\nNME to FMO: 11290\nNME to BVH: 13577\nBVH to RTW: 13157\nBVH to FMO: 10795\nFMO to RTW: 2712\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56733,
"style": "rule"
}
|
{
"exact_answer": 56733,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BCN\", \"id\": 0}, {\"name\": \"TZX\", \"id\": 1}, {\"name\": \"LTO\", \"id\": 2}, {\"name\": \"CBO\", \"id\": 3}, {\"name\": \"KOT\", \"id\": 4}, {\"name\": \"NME\", \"id\": 5}, {\"name\": \"BVH\", \"id\": 6}, {\"name\": \"FMO\", \"id\": 7}, {\"name\": \"RTW\", \"id\": 8}], \"links\": [{\"weight\": 12108, \"source\": 0, \"target\": 3}, {\"weight\": 11930, \"source\": 0, \"target\": 5}, {\"weight\": 3578, \"source\": 0, \"target\": 8}, {\"weight\": 11926, \"source\": 0, \"target\": 4}, {\"weight\": 3145, \"source\": 0, \"target\": 1}, {\"weight\": 1333, \"source\": 0, \"target\": 7}, {\"weight\": 9593, \"source\": 0, \"target\": 6}, {\"weight\": 10984, \"source\": 0, \"target\": 2}, {\"weight\": 9506, \"source\": 1, \"target\": 3}, {\"weight\": 13680, \"source\": 1, \"target\": 5}, {\"weight\": 2066, \"source\": 1, \"target\": 8}, {\"weight\": 13676, \"source\": 1, \"target\": 4}, {\"weight\": 2994, \"source\": 1, \"target\": 7}, {\"weight\": 12594, \"source\": 1, \"target\": 6}, {\"weight\": 12545, \"source\": 1, \"target\": 2}, {\"weight\": 13743, \"source\": 2, \"target\": 3}, {\"weight\": 5683, \"source\": 2, \"target\": 5}, {\"weight\": 11999, \"source\": 2, \"target\": 8}, {\"weight\": 5679, \"source\": 2, \"target\": 4}, {\"weight\": 10479, \"source\": 2, \"target\": 7}, {\"weight\": 10934, \"source\": 2, \"target\": 6}, {\"weight\": 14681, \"source\": 3, \"target\": 5}, {\"weight\": 8982, \"source\": 3, \"target\": 8}, {\"weight\": 14677, \"source\": 3, \"target\": 4}, {\"weight\": 11166, \"source\": 3, \"target\": 7}, {\"weight\": 21196, \"source\": 3, \"target\": 6}, {\"weight\": 471, \"source\": 4, \"target\": 5}, {\"weight\": 12997, \"source\": 4, \"target\": 8}, {\"weight\": 11286, \"source\": 4, \"target\": 7}, {\"weight\": 13573, \"source\": 4, \"target\": 6}, {\"weight\": 13001, \"source\": 5, \"target\": 8}, {\"weight\": 11290, \"source\": 5, \"target\": 7}, {\"weight\": 13577, \"source\": 5, \"target\": 6}, {\"weight\": 13157, \"source\": 6, \"target\": 8}, {\"weight\": 10795, \"source\": 6, \"target\": 7}, {\"weight\": 2712, \"source\": 7, \"target\": 8}]}",
"id": 187,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BCN, TZX, LTO, CBO, KOT, NME, BVH, FMO, RTW\n- Travel distances (in kilometers) between each pair of airports:\nBCN to CBO: 12108\nBCN to NME: 11930\nBCN to RTW: 3578\nBCN to KOT: 11926\nBCN to TZX: 3145\nBCN to FMO: 1333\nBCN to BVH: 9593\nBCN to LTO: 10984\nTZX to CBO: 9506\nTZX to NME: 13680\nTZX to RTW: 2066\nTZX to KOT: 13676\nTZX to FMO: 2994\nTZX to BVH: 12594\nTZX to LTO: 12545\nLTO to CBO: 13743\nLTO to NME: 5683\nLTO to RTW: 11999\nLTO to KOT: 5679\nLTO to FMO: 10479\nLTO to BVH: 10934\nCBO to NME: 14681\nCBO to RTW: 8982\nCBO to KOT: 14677\nCBO to FMO: 11166\nCBO to BVH: 21196\nKOT to NME: 471\nKOT to RTW: 12997\nKOT to FMO: 11286\nKOT to BVH: 13573\nNME to RTW: 13001\nNME to FMO: 11290\nNME to BVH: 13577\nBVH to RTW: 13157\nBVH to FMO: 10795\nFMO to RTW: 2712\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PQI, NNG, MFM, LED, ESL, CHS, KWE, YIW, BFV\n- Travel distances (in kilometers) between each pair of airports:\nPQI to LED: 7151\nPQI to NNG: 13906\nPQI to KWE: 13566\nPQI to MFM: 13823\nPQI to ESL: 8888\nPQI to CHS: 1851\nPQI to YIW: 13043\nPQI to BFV: 15315\nNNG to MFM: 558\nNNG to KWE: 457\nNNG to LED: 7378\nNNG to ESL: 8071\nNNG to CHS: 13818\nNNG to YIW: 1472\nNNG to BFV: 1590\nMFM to LED: 7729\nMFM to KWE: 1015\nMFM to ESL: 8422\nMFM to CHS: 13735\nMFM to YIW: 1099\nMFM to BFV: 1967\nLED to KWE: 6923\nLED to ESL: 1765\nLED to CHS: 7930\nLED to YIW: 7290\nLED to BFV: 8167\nESL to KWE: 7616\nESL to CHS: 9667\nESL to YIW: 8117\nESL to BFV: 8647\nCHS to KWE: 13478\nCHS to YIW: 12955\nCHS to BFV: 15354\nKWE to YIW: 1683\nKWE to BFV: 2012\nYIW to BFV: 2961\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 36451,
"style": "rule"
}
|
{
"exact_answer": 36451,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PQI\", \"id\": 0}, {\"name\": \"NNG\", \"id\": 1}, {\"name\": \"MFM\", \"id\": 2}, {\"name\": \"LED\", \"id\": 3}, {\"name\": \"ESL\", \"id\": 4}, {\"name\": \"CHS\", \"id\": 5}, {\"name\": \"KWE\", \"id\": 6}, {\"name\": \"YIW\", \"id\": 7}, {\"name\": \"BFV\", \"id\": 8}], \"links\": [{\"weight\": 7151, \"source\": 0, \"target\": 3}, {\"weight\": 13906, \"source\": 0, \"target\": 1}, {\"weight\": 13566, \"source\": 0, \"target\": 6}, {\"weight\": 13823, \"source\": 0, \"target\": 2}, {\"weight\": 8888, \"source\": 0, \"target\": 4}, {\"weight\": 1851, \"source\": 0, \"target\": 5}, {\"weight\": 13043, \"source\": 0, \"target\": 7}, {\"weight\": 15315, \"source\": 0, \"target\": 8}, {\"weight\": 558, \"source\": 1, \"target\": 2}, {\"weight\": 457, \"source\": 1, \"target\": 6}, {\"weight\": 7378, \"source\": 1, \"target\": 3}, {\"weight\": 8071, \"source\": 1, \"target\": 4}, {\"weight\": 13818, \"source\": 1, \"target\": 5}, {\"weight\": 1472, \"source\": 1, \"target\": 7}, {\"weight\": 1590, \"source\": 1, \"target\": 8}, {\"weight\": 7729, \"source\": 2, \"target\": 3}, {\"weight\": 1015, \"source\": 2, \"target\": 6}, {\"weight\": 8422, \"source\": 2, \"target\": 4}, {\"weight\": 13735, \"source\": 2, \"target\": 5}, {\"weight\": 1099, \"source\": 2, \"target\": 7}, {\"weight\": 1967, \"source\": 2, \"target\": 8}, {\"weight\": 6923, \"source\": 3, \"target\": 6}, {\"weight\": 1765, \"source\": 3, \"target\": 4}, {\"weight\": 7930, \"source\": 3, \"target\": 5}, {\"weight\": 7290, \"source\": 3, \"target\": 7}, {\"weight\": 8167, \"source\": 3, \"target\": 8}, {\"weight\": 7616, \"source\": 4, \"target\": 6}, {\"weight\": 9667, \"source\": 4, \"target\": 5}, {\"weight\": 8117, \"source\": 4, \"target\": 7}, {\"weight\": 8647, \"source\": 4, \"target\": 8}, {\"weight\": 13478, \"source\": 5, \"target\": 6}, {\"weight\": 12955, \"source\": 5, \"target\": 7}, {\"weight\": 15354, \"source\": 5, \"target\": 8}, {\"weight\": 1683, \"source\": 6, \"target\": 7}, {\"weight\": 2012, \"source\": 6, \"target\": 8}, {\"weight\": 2961, \"source\": 7, \"target\": 8}]}",
"id": 188,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PQI, NNG, MFM, LED, ESL, CHS, KWE, YIW, BFV\n- Travel distances (in kilometers) between each pair of airports:\nPQI to LED: 7151\nPQI to NNG: 13906\nPQI to KWE: 13566\nPQI to MFM: 13823\nPQI to ESL: 8888\nPQI to CHS: 1851\nPQI to YIW: 13043\nPQI to BFV: 15315\nNNG to MFM: 558\nNNG to KWE: 457\nNNG to LED: 7378\nNNG to ESL: 8071\nNNG to CHS: 13818\nNNG to YIW: 1472\nNNG to BFV: 1590\nMFM to LED: 7729\nMFM to KWE: 1015\nMFM to ESL: 8422\nMFM to CHS: 13735\nMFM to YIW: 1099\nMFM to BFV: 1967\nLED to KWE: 6923\nLED to ESL: 1765\nLED to CHS: 7930\nLED to YIW: 7290\nLED to BFV: 8167\nESL to KWE: 7616\nESL to CHS: 9667\nESL to YIW: 8117\nESL to BFV: 8647\nCHS to KWE: 13478\nCHS to YIW: 12955\nCHS to BFV: 15354\nKWE to YIW: 1683\nKWE to BFV: 2012\nYIW to BFV: 2961\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, PNA, CEN, ILR, MKE, GYE, YEK, CHG, EKO\n- Travel distances (in kilometers) between each pair of airports:\nOIM to GYE: 14635\nOIM to CEN: 10009\nOIM to YEK: 10778\nOIM to MKE: 10432\nOIM to PNA: 11163\nOIM to CHG: 2053\nOIM to EKO: 9230\nOIM to ILR: 13461\nPNA to GYE: 9314\nPNA to CEN: 9964\nPNA to YEK: 9130\nPNA to MKE: 7054\nPNA to CHG: 9867\nPNA to EKO: 9371\nPNA to ILR: 4643\nCEN to GYE: 4674\nCEN to YEK: 4206\nCEN to MKE: 3060\nCEN to CHG: 11491\nCEN to EKO: 1851\nCEN to ILR: 13046\nILR to GYE: 11768\nILR to YEK: 12233\nILR to MKE: 10331\nILR to CHG: 11638\nILR to EKO: 12586\nMKE to GYE: 5106\nMKE to YEK: 2376\nMKE to CHG: 11030\nMKE to EKO: 2384\nGYE to YEK: 7379\nGYE to CHG: 15874\nGYE to EKO: 6199\nYEK to CHG: 11980\nYEK to EKO: 3471\nCHG to EKO: 10454\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49711,
"style": "rule"
}
|
{
"exact_answer": 49711,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OIM\", \"id\": 0}, {\"name\": \"PNA\", \"id\": 1}, {\"name\": \"CEN\", \"id\": 2}, {\"name\": \"ILR\", \"id\": 3}, {\"name\": \"MKE\", \"id\": 4}, {\"name\": \"GYE\", \"id\": 5}, {\"name\": \"YEK\", \"id\": 6}, {\"name\": \"CHG\", \"id\": 7}, {\"name\": \"EKO\", \"id\": 8}], \"links\": [{\"weight\": 14635, \"source\": 0, \"target\": 5}, {\"weight\": 10009, \"source\": 0, \"target\": 2}, {\"weight\": 10778, \"source\": 0, \"target\": 6}, {\"weight\": 10432, \"source\": 0, \"target\": 4}, {\"weight\": 11163, \"source\": 0, \"target\": 1}, {\"weight\": 2053, \"source\": 0, \"target\": 7}, {\"weight\": 9230, \"source\": 0, \"target\": 8}, {\"weight\": 13461, \"source\": 0, \"target\": 3}, {\"weight\": 9314, \"source\": 1, \"target\": 5}, {\"weight\": 9964, \"source\": 1, \"target\": 2}, {\"weight\": 9130, \"source\": 1, \"target\": 6}, {\"weight\": 7054, \"source\": 1, \"target\": 4}, {\"weight\": 9867, \"source\": 1, \"target\": 7}, {\"weight\": 9371, \"source\": 1, \"target\": 8}, {\"weight\": 4643, \"source\": 1, \"target\": 3}, {\"weight\": 4674, \"source\": 2, \"target\": 5}, {\"weight\": 4206, \"source\": 2, \"target\": 6}, {\"weight\": 3060, \"source\": 2, \"target\": 4}, {\"weight\": 11491, \"source\": 2, \"target\": 7}, {\"weight\": 1851, \"source\": 2, \"target\": 8}, {\"weight\": 13046, \"source\": 2, \"target\": 3}, {\"weight\": 11768, \"source\": 3, \"target\": 5}, {\"weight\": 12233, \"source\": 3, \"target\": 6}, {\"weight\": 10331, \"source\": 3, \"target\": 4}, {\"weight\": 11638, \"source\": 3, \"target\": 7}, {\"weight\": 12586, \"source\": 3, \"target\": 8}, {\"weight\": 5106, \"source\": 4, \"target\": 5}, {\"weight\": 2376, \"source\": 4, \"target\": 6}, {\"weight\": 11030, \"source\": 4, \"target\": 7}, {\"weight\": 2384, \"source\": 4, \"target\": 8}, {\"weight\": 7379, \"source\": 5, \"target\": 6}, {\"weight\": 15874, \"source\": 5, \"target\": 7}, {\"weight\": 6199, \"source\": 5, \"target\": 8}, {\"weight\": 11980, \"source\": 6, \"target\": 7}, {\"weight\": 3471, \"source\": 6, \"target\": 8}, {\"weight\": 10454, \"source\": 7, \"target\": 8}]}",
"id": 189,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, PNA, CEN, ILR, MKE, GYE, YEK, CHG, EKO\n- Travel distances (in kilometers) between each pair of airports:\nOIM to GYE: 14635\nOIM to CEN: 10009\nOIM to YEK: 10778\nOIM to MKE: 10432\nOIM to PNA: 11163\nOIM to CHG: 2053\nOIM to EKO: 9230\nOIM to ILR: 13461\nPNA to GYE: 9314\nPNA to CEN: 9964\nPNA to YEK: 9130\nPNA to MKE: 7054\nPNA to CHG: 9867\nPNA to EKO: 9371\nPNA to ILR: 4643\nCEN to GYE: 4674\nCEN to YEK: 4206\nCEN to MKE: 3060\nCEN to CHG: 11491\nCEN to EKO: 1851\nCEN to ILR: 13046\nILR to GYE: 11768\nILR to YEK: 12233\nILR to MKE: 10331\nILR to CHG: 11638\nILR to EKO: 12586\nMKE to GYE: 5106\nMKE to YEK: 2376\nMKE to CHG: 11030\nMKE to EKO: 2384\nGYE to YEK: 7379\nGYE to CHG: 15874\nGYE to EKO: 6199\nYEK to CHG: 11980\nYEK to EKO: 3471\nCHG to EKO: 10454\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLI, GMB, JIJ, KWM, XCH, MQJ, ANI, WSN, NDB\n- Travel distances (in kilometers) between each pair of airports:\nSLI to ANI: 18479\nSLI to GMB: 3427\nSLI to JIJ: 3383\nSLI to WSN: 18451\nSLI to NDB: 6602\nSLI to MQJ: 12955\nSLI to KWM: 13814\nSLI to XCH: 12540\nGMB to ANI: 16856\nGMB to JIJ: 906\nGMB to WSN: 16828\nGMB to NDB: 6981\nGMB to MQJ: 10541\nGMB to KWM: 13699\nGMB to XCH: 13233\nJIJ to ANI: 16703\nJIJ to WSN: 16675\nJIJ to NDB: 6937\nJIJ to MQJ: 9896\nJIJ to KWM: 13262\nJIJ to XCH: 13189\nKWM to ANI: 14382\nKWM to WSN: 14354\nKWM to NDB: 19036\nKWM to MQJ: 10170\nKWM to XCH: 6498\nXCH to ANI: 18755\nXCH to WSN: 18727\nXCH to NDB: 18135\nXCH to MQJ: 13990\nMQJ to ANI: 14324\nMQJ to WSN: 14296\nMQJ to NDB: 11374\nANI to WSN: 992\nANI to NDB: 12478\nWSN to NDB: 12450\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 68244,
"style": "rule"
}
|
{
"exact_answer": 68244,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLI\", \"id\": 0}, {\"name\": \"GMB\", \"id\": 1}, {\"name\": \"JIJ\", \"id\": 2}, {\"name\": \"KWM\", \"id\": 3}, {\"name\": \"XCH\", \"id\": 4}, {\"name\": \"MQJ\", \"id\": 5}, {\"name\": \"ANI\", \"id\": 6}, {\"name\": \"WSN\", \"id\": 7}, {\"name\": \"NDB\", \"id\": 8}], \"links\": [{\"weight\": 18479, \"source\": 0, \"target\": 6}, {\"weight\": 3427, \"source\": 0, \"target\": 1}, {\"weight\": 3383, \"source\": 0, \"target\": 2}, {\"weight\": 18451, \"source\": 0, \"target\": 7}, {\"weight\": 6602, \"source\": 0, \"target\": 8}, {\"weight\": 12955, \"source\": 0, \"target\": 5}, {\"weight\": 13814, \"source\": 0, \"target\": 3}, {\"weight\": 12540, \"source\": 0, \"target\": 4}, {\"weight\": 16856, \"source\": 1, \"target\": 6}, {\"weight\": 906, \"source\": 1, \"target\": 2}, {\"weight\": 16828, \"source\": 1, \"target\": 7}, {\"weight\": 6981, \"source\": 1, \"target\": 8}, {\"weight\": 10541, \"source\": 1, \"target\": 5}, {\"weight\": 13699, \"source\": 1, \"target\": 3}, {\"weight\": 13233, \"source\": 1, \"target\": 4}, {\"weight\": 16703, \"source\": 2, \"target\": 6}, {\"weight\": 16675, \"source\": 2, \"target\": 7}, {\"weight\": 6937, \"source\": 2, \"target\": 8}, {\"weight\": 9896, \"source\": 2, \"target\": 5}, {\"weight\": 13262, \"source\": 2, \"target\": 3}, {\"weight\": 13189, \"source\": 2, \"target\": 4}, {\"weight\": 14382, \"source\": 3, \"target\": 6}, {\"weight\": 14354, \"source\": 3, \"target\": 7}, {\"weight\": 19036, \"source\": 3, \"target\": 8}, {\"weight\": 10170, \"source\": 3, \"target\": 5}, {\"weight\": 6498, \"source\": 3, \"target\": 4}, {\"weight\": 18755, \"source\": 4, \"target\": 6}, {\"weight\": 18727, \"source\": 4, \"target\": 7}, {\"weight\": 18135, \"source\": 4, \"target\": 8}, {\"weight\": 13990, \"source\": 4, \"target\": 5}, {\"weight\": 14324, \"source\": 5, \"target\": 6}, {\"weight\": 14296, \"source\": 5, \"target\": 7}, {\"weight\": 11374, \"source\": 5, \"target\": 8}, {\"weight\": 992, \"source\": 6, \"target\": 7}, {\"weight\": 12478, \"source\": 6, \"target\": 8}, {\"weight\": 12450, \"source\": 7, \"target\": 8}]}",
"id": 190,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLI, GMB, JIJ, KWM, XCH, MQJ, ANI, WSN, NDB\n- Travel distances (in kilometers) between each pair of airports:\nSLI to ANI: 18479\nSLI to GMB: 3427\nSLI to JIJ: 3383\nSLI to WSN: 18451\nSLI to NDB: 6602\nSLI to MQJ: 12955\nSLI to KWM: 13814\nSLI to XCH: 12540\nGMB to ANI: 16856\nGMB to JIJ: 906\nGMB to WSN: 16828\nGMB to NDB: 6981\nGMB to MQJ: 10541\nGMB to KWM: 13699\nGMB to XCH: 13233\nJIJ to ANI: 16703\nJIJ to WSN: 16675\nJIJ to NDB: 6937\nJIJ to MQJ: 9896\nJIJ to KWM: 13262\nJIJ to XCH: 13189\nKWM to ANI: 14382\nKWM to WSN: 14354\nKWM to NDB: 19036\nKWM to MQJ: 10170\nKWM to XCH: 6498\nXCH to ANI: 18755\nXCH to WSN: 18727\nXCH to NDB: 18135\nXCH to MQJ: 13990\nMQJ to ANI: 14324\nMQJ to WSN: 14296\nMQJ to NDB: 11374\nANI to WSN: 992\nANI to NDB: 12478\nWSN to NDB: 12450\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BQN, PHS, THS, DLA, PDV, NDB, UBA, AMQ, BWN\n- Travel distances (in kilometers) between each pair of airports:\nBQN to UBA: 8144\nBQN to DLA: 11748\nBQN to BWN: 17415\nBQN to PHS: 16688\nBQN to PDV: 10261\nBQN to AMQ: 19613\nBQN to NDB: 9012\nBQN to THS: 17243\nPHS to UBA: 17569\nPHS to DLA: 10409\nPHS to BWN: 2690\nPHS to PDV: 10853\nPHS to AMQ: 4593\nPHS to NDB: 12586\nPHS to THS: 1265\nTHS to UBA: 17278\nTHS to DLA: 10423\nTHS to BWN: 2239\nTHS to PDV: 11221\nTHS to AMQ: 4650\nTHS to NDB: 12977\nDLA to UBA: 7538\nDLA to BWN: 11848\nDLA to PDV: 7186\nDLA to AMQ: 13762\nDLA to NDB: 3554\nPDV to UBA: 11133\nPDV to BWN: 12646\nPDV to AMQ: 14875\nPDV to NDB: 5527\nNDB to UBA: 6173\nNDB to BWN: 14402\nNDB to AMQ: 16504\nUBA to BWN: 17809\nUBA to AMQ: 19359\nAMQ to BWN: 2499\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58739,
"style": "rule"
}
|
{
"exact_answer": 58739,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BQN\", \"id\": 0}, {\"name\": \"PHS\", \"id\": 1}, {\"name\": \"THS\", \"id\": 2}, {\"name\": \"DLA\", \"id\": 3}, {\"name\": \"PDV\", \"id\": 4}, {\"name\": \"NDB\", \"id\": 5}, {\"name\": \"UBA\", \"id\": 6}, {\"name\": \"AMQ\", \"id\": 7}, {\"name\": \"BWN\", \"id\": 8}], \"links\": [{\"weight\": 8144, \"source\": 0, \"target\": 6}, {\"weight\": 11748, \"source\": 0, \"target\": 3}, {\"weight\": 17415, \"source\": 0, \"target\": 8}, {\"weight\": 16688, \"source\": 0, \"target\": 1}, {\"weight\": 10261, \"source\": 0, \"target\": 4}, {\"weight\": 19613, \"source\": 0, \"target\": 7}, {\"weight\": 9012, \"source\": 0, \"target\": 5}, {\"weight\": 17243, \"source\": 0, \"target\": 2}, {\"weight\": 17569, \"source\": 1, \"target\": 6}, {\"weight\": 10409, \"source\": 1, \"target\": 3}, {\"weight\": 2690, \"source\": 1, \"target\": 8}, {\"weight\": 10853, \"source\": 1, \"target\": 4}, {\"weight\": 4593, \"source\": 1, \"target\": 7}, {\"weight\": 12586, \"source\": 1, \"target\": 5}, {\"weight\": 1265, \"source\": 1, \"target\": 2}, {\"weight\": 17278, \"source\": 2, \"target\": 6}, {\"weight\": 10423, \"source\": 2, \"target\": 3}, {\"weight\": 2239, \"source\": 2, \"target\": 8}, {\"weight\": 11221, \"source\": 2, \"target\": 4}, {\"weight\": 4650, \"source\": 2, \"target\": 7}, {\"weight\": 12977, \"source\": 2, \"target\": 5}, {\"weight\": 7538, \"source\": 3, \"target\": 6}, {\"weight\": 11848, \"source\": 3, \"target\": 8}, {\"weight\": 7186, \"source\": 3, \"target\": 4}, {\"weight\": 13762, \"source\": 3, \"target\": 7}, {\"weight\": 3554, \"source\": 3, \"target\": 5}, {\"weight\": 11133, \"source\": 4, \"target\": 6}, {\"weight\": 12646, \"source\": 4, \"target\": 8}, {\"weight\": 14875, \"source\": 4, \"target\": 7}, {\"weight\": 5527, \"source\": 4, \"target\": 5}, {\"weight\": 6173, \"source\": 5, \"target\": 6}, {\"weight\": 14402, \"source\": 5, \"target\": 8}, {\"weight\": 16504, \"source\": 5, \"target\": 7}, {\"weight\": 17809, \"source\": 6, \"target\": 8}, {\"weight\": 19359, \"source\": 6, \"target\": 7}, {\"weight\": 2499, \"source\": 7, \"target\": 8}]}",
"id": 191,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BQN, PHS, THS, DLA, PDV, NDB, UBA, AMQ, BWN\n- Travel distances (in kilometers) between each pair of airports:\nBQN to UBA: 8144\nBQN to DLA: 11748\nBQN to BWN: 17415\nBQN to PHS: 16688\nBQN to PDV: 10261\nBQN to AMQ: 19613\nBQN to NDB: 9012\nBQN to THS: 17243\nPHS to UBA: 17569\nPHS to DLA: 10409\nPHS to BWN: 2690\nPHS to PDV: 10853\nPHS to AMQ: 4593\nPHS to NDB: 12586\nPHS to THS: 1265\nTHS to UBA: 17278\nTHS to DLA: 10423\nTHS to BWN: 2239\nTHS to PDV: 11221\nTHS to AMQ: 4650\nTHS to NDB: 12977\nDLA to UBA: 7538\nDLA to BWN: 11848\nDLA to PDV: 7186\nDLA to AMQ: 13762\nDLA to NDB: 3554\nPDV to UBA: 11133\nPDV to BWN: 12646\nPDV to AMQ: 14875\nPDV to NDB: 5527\nNDB to UBA: 6173\nNDB to BWN: 14402\nNDB to AMQ: 16504\nUBA to BWN: 17809\nUBA to AMQ: 19359\nAMQ to BWN: 2499\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KKR, LSC, YSY, CAB, STZ, YIF, MAN, SLM, NBE\n- Travel distances (in kilometers) between each pair of airports:\nKKR to MAN: 15515\nKKR to YSY: 11409\nKKR to NBE: 17658\nKKR to CAB: 17871\nKKR to LSC: 8746\nKKR to SLM: 17473\nKKR to YIF: 12276\nKKR to STZ: 12939\nLSC to MAN: 12205\nLSC to YSY: 12470\nLSC to NBE: 12480\nLSC to CAB: 9901\nLSC to SLM: 11887\nLSC to YIF: 9807\nLSC to STZ: 4969\nYSY to MAN: 8829\nYSY to NBE: 10988\nYSY to CAB: 15608\nYSY to SLM: 10807\nYSY to YIF: 5602\nYSY to STZ: 13012\nCAB to MAN: 7457\nCAB to NBE: 7124\nCAB to SLM: 7233\nCAB to YIF: 11595\nCAB to STZ: 8606\nSTZ to MAN: 10110\nSTZ to NBE: 10308\nSTZ to SLM: 9926\nSTZ to YIF: 9948\nYIF to MAN: 4622\nYIF to NBE: 6437\nYIF to SLM: 6163\nMAN to NBE: 2160\nMAN to SLM: 2014\nSLM to NBE: 2074\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55166,
"style": "rule"
}
|
{
"exact_answer": 55166,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KKR\", \"id\": 0}, {\"name\": \"LSC\", \"id\": 1}, {\"name\": \"YSY\", \"id\": 2}, {\"name\": \"CAB\", \"id\": 3}, {\"name\": \"STZ\", \"id\": 4}, {\"name\": \"YIF\", \"id\": 5}, {\"name\": \"MAN\", \"id\": 6}, {\"name\": \"SLM\", \"id\": 7}, {\"name\": \"NBE\", \"id\": 8}], \"links\": [{\"weight\": 15515, \"source\": 0, \"target\": 6}, {\"weight\": 11409, \"source\": 0, \"target\": 2}, {\"weight\": 17658, \"source\": 0, \"target\": 8}, {\"weight\": 17871, \"source\": 0, \"target\": 3}, {\"weight\": 8746, \"source\": 0, \"target\": 1}, {\"weight\": 17473, \"source\": 0, \"target\": 7}, {\"weight\": 12276, \"source\": 0, \"target\": 5}, {\"weight\": 12939, \"source\": 0, \"target\": 4}, {\"weight\": 12205, \"source\": 1, \"target\": 6}, {\"weight\": 12470, \"source\": 1, \"target\": 2}, {\"weight\": 12480, \"source\": 1, \"target\": 8}, {\"weight\": 9901, \"source\": 1, \"target\": 3}, {\"weight\": 11887, \"source\": 1, \"target\": 7}, {\"weight\": 9807, \"source\": 1, \"target\": 5}, {\"weight\": 4969, \"source\": 1, \"target\": 4}, {\"weight\": 8829, \"source\": 2, \"target\": 6}, {\"weight\": 10988, \"source\": 2, \"target\": 8}, {\"weight\": 15608, \"source\": 2, \"target\": 3}, {\"weight\": 10807, \"source\": 2, \"target\": 7}, {\"weight\": 5602, \"source\": 2, \"target\": 5}, {\"weight\": 13012, \"source\": 2, \"target\": 4}, {\"weight\": 7457, \"source\": 3, \"target\": 6}, {\"weight\": 7124, \"source\": 3, \"target\": 8}, {\"weight\": 7233, \"source\": 3, \"target\": 7}, {\"weight\": 11595, \"source\": 3, \"target\": 5}, {\"weight\": 8606, \"source\": 3, \"target\": 4}, {\"weight\": 10110, \"source\": 4, \"target\": 6}, {\"weight\": 10308, \"source\": 4, \"target\": 8}, {\"weight\": 9926, \"source\": 4, \"target\": 7}, {\"weight\": 9948, \"source\": 4, \"target\": 5}, {\"weight\": 4622, \"source\": 5, \"target\": 6}, {\"weight\": 6437, \"source\": 5, \"target\": 8}, {\"weight\": 6163, \"source\": 5, \"target\": 7}, {\"weight\": 2160, \"source\": 6, \"target\": 8}, {\"weight\": 2014, \"source\": 6, \"target\": 7}, {\"weight\": 2074, \"source\": 7, \"target\": 8}]}",
"id": 192,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KKR, LSC, YSY, CAB, STZ, YIF, MAN, SLM, NBE\n- Travel distances (in kilometers) between each pair of airports:\nKKR to MAN: 15515\nKKR to YSY: 11409\nKKR to NBE: 17658\nKKR to CAB: 17871\nKKR to LSC: 8746\nKKR to SLM: 17473\nKKR to YIF: 12276\nKKR to STZ: 12939\nLSC to MAN: 12205\nLSC to YSY: 12470\nLSC to NBE: 12480\nLSC to CAB: 9901\nLSC to SLM: 11887\nLSC to YIF: 9807\nLSC to STZ: 4969\nYSY to MAN: 8829\nYSY to NBE: 10988\nYSY to CAB: 15608\nYSY to SLM: 10807\nYSY to YIF: 5602\nYSY to STZ: 13012\nCAB to MAN: 7457\nCAB to NBE: 7124\nCAB to SLM: 7233\nCAB to YIF: 11595\nCAB to STZ: 8606\nSTZ to MAN: 10110\nSTZ to NBE: 10308\nSTZ to SLM: 9926\nSTZ to YIF: 9948\nYIF to MAN: 4622\nYIF to NBE: 6437\nYIF to SLM: 6163\nMAN to NBE: 2160\nMAN to SLM: 2014\nSLM to NBE: 2074\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, BOB, PJM, YUB, TMW, ULP, WYA, RNB, BUX\n- Travel distances (in kilometers) between each pair of airports:\nYBG to PJM: 4629\nYBG to YUB: 4880\nYBG to BUX: 12811\nYBG to RNB: 7174\nYBG to ULP: 16739\nYBG to TMW: 16723\nYBG to BOB: 11221\nYBG to WYA: 17700\nBOB to PJM: 11441\nBOB to YUB: 11323\nBOB to BUX: 19856\nBOB to RNB: 16139\nBOB to ULP: 7228\nBOB to TMW: 6704\nBOB to WYA: 7778\nPJM to YUB: 7938\nPJM to BUX: 14650\nPJM to RNB: 10397\nPJM to ULP: 16993\nPJM to TMW: 16879\nPJM to WYA: 17953\nYUB to BUX: 16931\nYUB to RNB: 9739\nYUB to ULP: 15871\nYUB to TMW: 15897\nYUB to WYA: 16832\nTMW to BUX: 16028\nTMW to RNB: 16305\nTMW to ULP: 1808\nTMW to WYA: 1712\nULP to BUX: 17198\nULP to RNB: 15351\nULP to WYA: 2737\nWYA to BUX: 15339\nWYA to RNB: 15637\nRNB to BUX: 9731\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66507,
"style": "rule"
}
|
{
"exact_answer": 66507,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBG\", \"id\": 0}, {\"name\": \"BOB\", \"id\": 1}, {\"name\": \"PJM\", \"id\": 2}, {\"name\": \"YUB\", \"id\": 3}, {\"name\": \"TMW\", \"id\": 4}, {\"name\": \"ULP\", \"id\": 5}, {\"name\": \"WYA\", \"id\": 6}, {\"name\": \"RNB\", \"id\": 7}, {\"name\": \"BUX\", \"id\": 8}], \"links\": [{\"weight\": 4629, \"source\": 0, \"target\": 2}, {\"weight\": 4880, \"source\": 0, \"target\": 3}, {\"weight\": 12811, \"source\": 0, \"target\": 8}, {\"weight\": 7174, \"source\": 0, \"target\": 7}, {\"weight\": 16739, \"source\": 0, \"target\": 5}, {\"weight\": 16723, \"source\": 0, \"target\": 4}, {\"weight\": 11221, \"source\": 0, \"target\": 1}, {\"weight\": 17700, \"source\": 0, \"target\": 6}, {\"weight\": 11441, \"source\": 1, \"target\": 2}, {\"weight\": 11323, \"source\": 1, \"target\": 3}, {\"weight\": 19856, \"source\": 1, \"target\": 8}, {\"weight\": 16139, \"source\": 1, \"target\": 7}, {\"weight\": 7228, \"source\": 1, \"target\": 5}, {\"weight\": 6704, \"source\": 1, \"target\": 4}, {\"weight\": 7778, \"source\": 1, \"target\": 6}, {\"weight\": 7938, \"source\": 2, \"target\": 3}, {\"weight\": 14650, \"source\": 2, \"target\": 8}, {\"weight\": 10397, \"source\": 2, \"target\": 7}, {\"weight\": 16993, \"source\": 2, \"target\": 5}, {\"weight\": 16879, \"source\": 2, \"target\": 4}, {\"weight\": 17953, \"source\": 2, \"target\": 6}, {\"weight\": 16931, \"source\": 3, \"target\": 8}, {\"weight\": 9739, \"source\": 3, \"target\": 7}, {\"weight\": 15871, \"source\": 3, \"target\": 5}, {\"weight\": 15897, \"source\": 3, \"target\": 4}, {\"weight\": 16832, \"source\": 3, \"target\": 6}, {\"weight\": 16028, \"source\": 4, \"target\": 8}, {\"weight\": 16305, \"source\": 4, \"target\": 7}, {\"weight\": 1808, \"source\": 4, \"target\": 5}, {\"weight\": 1712, \"source\": 4, \"target\": 6}, {\"weight\": 17198, \"source\": 5, \"target\": 8}, {\"weight\": 15351, \"source\": 5, \"target\": 7}, {\"weight\": 2737, \"source\": 5, \"target\": 6}, {\"weight\": 15339, \"source\": 6, \"target\": 8}, {\"weight\": 15637, \"source\": 6, \"target\": 7}, {\"weight\": 9731, \"source\": 7, \"target\": 8}]}",
"id": 193,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, BOB, PJM, YUB, TMW, ULP, WYA, RNB, BUX\n- Travel distances (in kilometers) between each pair of airports:\nYBG to PJM: 4629\nYBG to YUB: 4880\nYBG to BUX: 12811\nYBG to RNB: 7174\nYBG to ULP: 16739\nYBG to TMW: 16723\nYBG to BOB: 11221\nYBG to WYA: 17700\nBOB to PJM: 11441\nBOB to YUB: 11323\nBOB to BUX: 19856\nBOB to RNB: 16139\nBOB to ULP: 7228\nBOB to TMW: 6704\nBOB to WYA: 7778\nPJM to YUB: 7938\nPJM to BUX: 14650\nPJM to RNB: 10397\nPJM to ULP: 16993\nPJM to TMW: 16879\nPJM to WYA: 17953\nYUB to BUX: 16931\nYUB to RNB: 9739\nYUB to ULP: 15871\nYUB to TMW: 15897\nYUB to WYA: 16832\nTMW to BUX: 16028\nTMW to RNB: 16305\nTMW to ULP: 1808\nTMW to WYA: 1712\nULP to BUX: 17198\nULP to RNB: 15351\nULP to WYA: 2737\nWYA to BUX: 15339\nWYA to RNB: 15637\nRNB to BUX: 9731\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELM, YFS, BEY, KZS, YPR, OMA, IOA, PUY, KDU\n- Travel distances (in kilometers) between each pair of airports:\nELM to PUY: 7258\nELM to YFS: 4356\nELM to IOA: 8704\nELM to KZS: 8902\nELM to OMA: 1575\nELM to YPR: 4437\nELM to BEY: 9459\nELM to KDU: 11932\nYFS to PUY: 9400\nYFS to IOA: 10842\nYFS to KZS: 10979\nYFS to OMA: 3576\nYFS to YPR: 2943\nYFS to BEY: 11435\nYFS to KDU: 13665\nBEY to PUY: 2337\nBEY to IOA: 1468\nBEY to KZS: 1400\nBEY to OMA: 10335\nBEY to YPR: 11618\nBEY to KDU: 3753\nKZS to PUY: 1829\nKZS to IOA: 872\nKZS to OMA: 9812\nKZS to YPR: 11108\nKZS to KDU: 5153\nYPR to PUY: 9514\nYPR to IOA: 10944\nYPR to OMA: 3153\nYPR to KDU: 13436\nOMA to PUY: 8199\nOMA to IOA: 9650\nOMA to KDU: 12647\nIOA to PUY: 1623\nIOA to KDU: 5061\nPUY to KDU: 5538\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 36242,
"style": "rule"
}
|
{
"exact_answer": 36242,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ELM\", \"id\": 0}, {\"name\": \"YFS\", \"id\": 1}, {\"name\": \"BEY\", \"id\": 2}, {\"name\": \"KZS\", \"id\": 3}, {\"name\": \"YPR\", \"id\": 4}, {\"name\": \"OMA\", \"id\": 5}, {\"name\": \"IOA\", \"id\": 6}, {\"name\": \"PUY\", \"id\": 7}, {\"name\": \"KDU\", \"id\": 8}], \"links\": [{\"weight\": 7258, \"source\": 0, \"target\": 7}, {\"weight\": 4356, \"source\": 0, \"target\": 1}, {\"weight\": 8704, \"source\": 0, \"target\": 6}, {\"weight\": 8902, \"source\": 0, \"target\": 3}, {\"weight\": 1575, \"source\": 0, \"target\": 5}, {\"weight\": 4437, \"source\": 0, \"target\": 4}, {\"weight\": 9459, \"source\": 0, \"target\": 2}, {\"weight\": 11932, \"source\": 0, \"target\": 8}, {\"weight\": 9400, \"source\": 1, \"target\": 7}, {\"weight\": 10842, \"source\": 1, \"target\": 6}, {\"weight\": 10979, \"source\": 1, \"target\": 3}, {\"weight\": 3576, \"source\": 1, \"target\": 5}, {\"weight\": 2943, \"source\": 1, \"target\": 4}, {\"weight\": 11435, \"source\": 1, \"target\": 2}, {\"weight\": 13665, \"source\": 1, \"target\": 8}, {\"weight\": 2337, \"source\": 2, \"target\": 7}, {\"weight\": 1468, \"source\": 2, \"target\": 6}, {\"weight\": 1400, \"source\": 2, \"target\": 3}, {\"weight\": 10335, \"source\": 2, \"target\": 5}, {\"weight\": 11618, \"source\": 2, \"target\": 4}, {\"weight\": 3753, \"source\": 2, \"target\": 8}, {\"weight\": 1829, \"source\": 3, \"target\": 7}, {\"weight\": 872, \"source\": 3, \"target\": 6}, {\"weight\": 9812, \"source\": 3, \"target\": 5}, {\"weight\": 11108, \"source\": 3, \"target\": 4}, {\"weight\": 5153, \"source\": 3, \"target\": 8}, {\"weight\": 9514, \"source\": 4, \"target\": 7}, {\"weight\": 10944, \"source\": 4, \"target\": 6}, {\"weight\": 3153, \"source\": 4, \"target\": 5}, {\"weight\": 13436, \"source\": 4, \"target\": 8}, {\"weight\": 8199, \"source\": 5, \"target\": 7}, {\"weight\": 9650, \"source\": 5, \"target\": 6}, {\"weight\": 12647, \"source\": 5, \"target\": 8}, {\"weight\": 1623, \"source\": 6, \"target\": 7}, {\"weight\": 5061, \"source\": 6, \"target\": 8}, {\"weight\": 5538, \"source\": 7, \"target\": 8}]}",
"id": 194,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELM, YFS, BEY, KZS, YPR, OMA, IOA, PUY, KDU\n- Travel distances (in kilometers) between each pair of airports:\nELM to PUY: 7258\nELM to YFS: 4356\nELM to IOA: 8704\nELM to KZS: 8902\nELM to OMA: 1575\nELM to YPR: 4437\nELM to BEY: 9459\nELM to KDU: 11932\nYFS to PUY: 9400\nYFS to IOA: 10842\nYFS to KZS: 10979\nYFS to OMA: 3576\nYFS to YPR: 2943\nYFS to BEY: 11435\nYFS to KDU: 13665\nBEY to PUY: 2337\nBEY to IOA: 1468\nBEY to KZS: 1400\nBEY to OMA: 10335\nBEY to YPR: 11618\nBEY to KDU: 3753\nKZS to PUY: 1829\nKZS to IOA: 872\nKZS to OMA: 9812\nKZS to YPR: 11108\nKZS to KDU: 5153\nYPR to PUY: 9514\nYPR to IOA: 10944\nYPR to OMA: 3153\nYPR to KDU: 13436\nOMA to PUY: 8199\nOMA to IOA: 9650\nOMA to KDU: 12647\nIOA to PUY: 1623\nIOA to KDU: 5061\nPUY to KDU: 5538\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSJ, DEE, LNV, YZG, YNZ, PBM, CSX, BTH, GSP\n- Travel distances (in kilometers) between each pair of airports:\nMSJ to YZG: 12386\nMSJ to CSX: 3063\nMSJ to PBM: 16162\nMSJ to GSP: 11906\nMSJ to YNZ: 2633\nMSJ to LNV: 7216\nMSJ to BTH: 6280\nMSJ to DEE: 2270\nDEE to YZG: 13161\nDEE to CSX: 3700\nDEE to PBM: 16672\nDEE to GSP: 12651\nDEE to YNZ: 3120\nDEE to LNV: 7655\nDEE to BTH: 7187\nLNV to YZG: 17518\nLNV to CSX: 6647\nLNV to PBM: 20430\nLNV to GSP: 16521\nLNV to YNZ: 6965\nLNV to BTH: 6091\nYZG to CSX: 14002\nYZG to PBM: 7014\nYZG to GSP: 3400\nYZG to YNZ: 13199\nYZG to BTH: 17251\nYNZ to CSX: 884\nYNZ to PBM: 16158\nYNZ to GSP: 12272\nYNZ to BTH: 4391\nPBM to CSX: 16266\nPBM to GSP: 4472\nPBM to BTH: 18158\nCSX to GSP: 12823\nCSX to BTH: 3623\nBTH to GSP: 16341\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56381,
"style": "rule"
}
|
{
"exact_answer": 56381,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSJ\", \"id\": 0}, {\"name\": \"DEE\", \"id\": 1}, {\"name\": \"LNV\", \"id\": 2}, {\"name\": \"YZG\", \"id\": 3}, {\"name\": \"YNZ\", \"id\": 4}, {\"name\": \"PBM\", \"id\": 5}, {\"name\": \"CSX\", \"id\": 6}, {\"name\": \"BTH\", \"id\": 7}, {\"name\": \"GSP\", \"id\": 8}], \"links\": [{\"weight\": 12386, \"source\": 0, \"target\": 3}, {\"weight\": 3063, \"source\": 0, \"target\": 6}, {\"weight\": 16162, \"source\": 0, \"target\": 5}, {\"weight\": 11906, \"source\": 0, \"target\": 8}, {\"weight\": 2633, \"source\": 0, \"target\": 4}, {\"weight\": 7216, \"source\": 0, \"target\": 2}, {\"weight\": 6280, \"source\": 0, \"target\": 7}, {\"weight\": 2270, \"source\": 0, \"target\": 1}, {\"weight\": 13161, \"source\": 1, \"target\": 3}, {\"weight\": 3700, \"source\": 1, \"target\": 6}, {\"weight\": 16672, \"source\": 1, \"target\": 5}, {\"weight\": 12651, \"source\": 1, \"target\": 8}, {\"weight\": 3120, \"source\": 1, \"target\": 4}, {\"weight\": 7655, \"source\": 1, \"target\": 2}, {\"weight\": 7187, \"source\": 1, \"target\": 7}, {\"weight\": 17518, \"source\": 2, \"target\": 3}, {\"weight\": 6647, \"source\": 2, \"target\": 6}, {\"weight\": 20430, \"source\": 2, \"target\": 5}, {\"weight\": 16521, \"source\": 2, \"target\": 8}, {\"weight\": 6965, \"source\": 2, \"target\": 4}, {\"weight\": 6091, \"source\": 2, \"target\": 7}, {\"weight\": 14002, \"source\": 3, \"target\": 6}, {\"weight\": 7014, \"source\": 3, \"target\": 5}, {\"weight\": 3400, \"source\": 3, \"target\": 8}, {\"weight\": 13199, \"source\": 3, \"target\": 4}, {\"weight\": 17251, \"source\": 3, \"target\": 7}, {\"weight\": 884, \"source\": 4, \"target\": 6}, {\"weight\": 16158, \"source\": 4, \"target\": 5}, {\"weight\": 12272, \"source\": 4, \"target\": 8}, {\"weight\": 4391, \"source\": 4, \"target\": 7}, {\"weight\": 16266, \"source\": 5, \"target\": 6}, {\"weight\": 4472, \"source\": 5, \"target\": 8}, {\"weight\": 18158, \"source\": 5, \"target\": 7}, {\"weight\": 12823, \"source\": 6, \"target\": 8}, {\"weight\": 3623, \"source\": 6, \"target\": 7}, {\"weight\": 16341, \"source\": 7, \"target\": 8}]}",
"id": 195,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSJ, DEE, LNV, YZG, YNZ, PBM, CSX, BTH, GSP\n- Travel distances (in kilometers) between each pair of airports:\nMSJ to YZG: 12386\nMSJ to CSX: 3063\nMSJ to PBM: 16162\nMSJ to GSP: 11906\nMSJ to YNZ: 2633\nMSJ to LNV: 7216\nMSJ to BTH: 6280\nMSJ to DEE: 2270\nDEE to YZG: 13161\nDEE to CSX: 3700\nDEE to PBM: 16672\nDEE to GSP: 12651\nDEE to YNZ: 3120\nDEE to LNV: 7655\nDEE to BTH: 7187\nLNV to YZG: 17518\nLNV to CSX: 6647\nLNV to PBM: 20430\nLNV to GSP: 16521\nLNV to YNZ: 6965\nLNV to BTH: 6091\nYZG to CSX: 14002\nYZG to PBM: 7014\nYZG to GSP: 3400\nYZG to YNZ: 13199\nYZG to BTH: 17251\nYNZ to CSX: 884\nYNZ to PBM: 16158\nYNZ to GSP: 12272\nYNZ to BTH: 4391\nPBM to CSX: 16266\nPBM to GSP: 4472\nPBM to BTH: 18158\nCSX to GSP: 12823\nCSX to BTH: 3623\nBTH to GSP: 16341\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FNJ, IVL, CFS, KSY, JST, MOB, CHC, LIS, GAM\n- Travel distances (in kilometers) between each pair of airports:\nFNJ to LIS: 10217\nFNJ to GAM: 12034\nFNJ to CHC: 11078\nFNJ to MOB: 12011\nFNJ to IVL: 8019\nFNJ to CFS: 9636\nFNJ to KSY: 8586\nFNJ to JST: 12087\nIVL to LIS: 4293\nIVL to GAM: 12688\nIVL to CHC: 18181\nIVL to MOB: 9210\nIVL to CFS: 16573\nIVL to KSY: 4293\nIVL to JST: 8059\nCFS to LIS: 18622\nCFS to GAM: 14265\nCFS to CHC: 2568\nCFS to MOB: 15116\nCFS to KSY: 15895\nCFS to JST: 16324\nKSY to LIS: 4420\nKSY to GAM: 14655\nKSY to CHC: 17569\nKSY to MOB: 10942\nKSY to JST: 9791\nJST to LIS: 5959\nJST to GAM: 6871\nJST to CHC: 15095\nJST to MOB: 1535\nMOB to LIS: 7107\nMOB to GAM: 6940\nMOB to CHC: 14079\nCHC to LIS: 20189\nCHC to GAM: 13485\nLIS to GAM: 11980\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56855,
"style": "rule"
}
|
{
"exact_answer": 56855,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FNJ\", \"id\": 0}, {\"name\": \"IVL\", \"id\": 1}, {\"name\": \"CFS\", \"id\": 2}, {\"name\": \"KSY\", \"id\": 3}, {\"name\": \"JST\", \"id\": 4}, {\"name\": \"MOB\", \"id\": 5}, {\"name\": \"CHC\", \"id\": 6}, {\"name\": \"LIS\", \"id\": 7}, {\"name\": \"GAM\", \"id\": 8}], \"links\": [{\"weight\": 10217, \"source\": 0, \"target\": 7}, {\"weight\": 12034, \"source\": 0, \"target\": 8}, {\"weight\": 11078, \"source\": 0, \"target\": 6}, {\"weight\": 12011, \"source\": 0, \"target\": 5}, {\"weight\": 8019, \"source\": 0, \"target\": 1}, {\"weight\": 9636, \"source\": 0, \"target\": 2}, {\"weight\": 8586, \"source\": 0, \"target\": 3}, {\"weight\": 12087, \"source\": 0, \"target\": 4}, {\"weight\": 4293, \"source\": 1, \"target\": 7}, {\"weight\": 12688, \"source\": 1, \"target\": 8}, {\"weight\": 18181, \"source\": 1, \"target\": 6}, {\"weight\": 9210, \"source\": 1, \"target\": 5}, {\"weight\": 16573, \"source\": 1, \"target\": 2}, {\"weight\": 4293, \"source\": 1, \"target\": 3}, {\"weight\": 8059, \"source\": 1, \"target\": 4}, {\"weight\": 18622, \"source\": 2, \"target\": 7}, {\"weight\": 14265, \"source\": 2, \"target\": 8}, {\"weight\": 2568, \"source\": 2, \"target\": 6}, {\"weight\": 15116, \"source\": 2, \"target\": 5}, {\"weight\": 15895, \"source\": 2, \"target\": 3}, {\"weight\": 16324, \"source\": 2, \"target\": 4}, {\"weight\": 4420, \"source\": 3, \"target\": 7}, {\"weight\": 14655, \"source\": 3, \"target\": 8}, {\"weight\": 17569, \"source\": 3, \"target\": 6}, {\"weight\": 10942, \"source\": 3, \"target\": 5}, {\"weight\": 9791, \"source\": 3, \"target\": 4}, {\"weight\": 5959, \"source\": 4, \"target\": 7}, {\"weight\": 6871, \"source\": 4, \"target\": 8}, {\"weight\": 15095, \"source\": 4, \"target\": 6}, {\"weight\": 1535, \"source\": 4, \"target\": 5}, {\"weight\": 7107, \"source\": 5, \"target\": 7}, {\"weight\": 6940, \"source\": 5, \"target\": 8}, {\"weight\": 14079, \"source\": 5, \"target\": 6}, {\"weight\": 20189, \"source\": 6, \"target\": 7}, {\"weight\": 13485, \"source\": 6, \"target\": 8}, {\"weight\": 11980, \"source\": 7, \"target\": 8}]}",
"id": 196,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FNJ, IVL, CFS, KSY, JST, MOB, CHC, LIS, GAM\n- Travel distances (in kilometers) between each pair of airports:\nFNJ to LIS: 10217\nFNJ to GAM: 12034\nFNJ to CHC: 11078\nFNJ to MOB: 12011\nFNJ to IVL: 8019\nFNJ to CFS: 9636\nFNJ to KSY: 8586\nFNJ to JST: 12087\nIVL to LIS: 4293\nIVL to GAM: 12688\nIVL to CHC: 18181\nIVL to MOB: 9210\nIVL to CFS: 16573\nIVL to KSY: 4293\nIVL to JST: 8059\nCFS to LIS: 18622\nCFS to GAM: 14265\nCFS to CHC: 2568\nCFS to MOB: 15116\nCFS to KSY: 15895\nCFS to JST: 16324\nKSY to LIS: 4420\nKSY to GAM: 14655\nKSY to CHC: 17569\nKSY to MOB: 10942\nKSY to JST: 9791\nJST to LIS: 5959\nJST to GAM: 6871\nJST to CHC: 15095\nJST to MOB: 1535\nMOB to LIS: 7107\nMOB to GAM: 6940\nMOB to CHC: 14079\nCHC to LIS: 20189\nCHC to GAM: 13485\nLIS to GAM: 11980\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, CFK, WNR, LYH, DEL, ZTB, HDG, GDX, BTT\n- Travel distances (in kilometers) between each pair of airports:\nVVI to HDG: 18754\nVVI to DEL: 16177\nVVI to BTT: 12081\nVVI to LYH: 6505\nVVI to CFK: 10581\nVVI to GDX: 18074\nVVI to WNR: 15271\nVVI to ZTB: 8673\nCFK to HDG: 10444\nCFK to DEL: 7380\nCFK to BTT: 12306\nCFK to LYH: 8448\nCFK to GDX: 9345\nCFK to WNR: 17053\nCFK to ZTB: 6318\nWNR to HDG: 8139\nWNR to DEL: 9719\nWNR to BTT: 13824\nWNR to LYH: 16242\nWNR to GDX: 10679\nWNR to ZTB: 17832\nLYH to HDG: 12848\nLYH to DEL: 12893\nLYH to BTT: 6518\nLYH to GDX: 14026\nLYH to ZTB: 2841\nDEL to HDG: 3825\nDEL to BTT: 15234\nDEL to GDX: 6925\nDEL to ZTB: 11191\nZTB to HDG: 13442\nZTB to BTT: 7537\nZTB to GDX: 12563\nHDG to BTT: 12255\nHDG to GDX: 3821\nGDX to BTT: 13493\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66993,
"style": "rule"
}
|
{
"exact_answer": 66993,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VVI\", \"id\": 0}, {\"name\": \"CFK\", \"id\": 1}, {\"name\": \"WNR\", \"id\": 2}, {\"name\": \"LYH\", \"id\": 3}, {\"name\": \"DEL\", \"id\": 4}, {\"name\": \"ZTB\", \"id\": 5}, {\"name\": \"HDG\", \"id\": 6}, {\"name\": \"GDX\", \"id\": 7}, {\"name\": \"BTT\", \"id\": 8}], \"links\": [{\"weight\": 18754, \"source\": 0, \"target\": 6}, {\"weight\": 16177, \"source\": 0, \"target\": 4}, {\"weight\": 12081, \"source\": 0, \"target\": 8}, {\"weight\": 6505, \"source\": 0, \"target\": 3}, {\"weight\": 10581, \"source\": 0, \"target\": 1}, {\"weight\": 18074, \"source\": 0, \"target\": 7}, {\"weight\": 15271, \"source\": 0, \"target\": 2}, {\"weight\": 8673, \"source\": 0, \"target\": 5}, {\"weight\": 10444, \"source\": 1, \"target\": 6}, {\"weight\": 7380, \"source\": 1, \"target\": 4}, {\"weight\": 12306, \"source\": 1, \"target\": 8}, {\"weight\": 8448, \"source\": 1, \"target\": 3}, {\"weight\": 9345, \"source\": 1, \"target\": 7}, {\"weight\": 17053, \"source\": 1, \"target\": 2}, {\"weight\": 6318, \"source\": 1, \"target\": 5}, {\"weight\": 8139, \"source\": 2, \"target\": 6}, {\"weight\": 9719, \"source\": 2, \"target\": 4}, {\"weight\": 13824, \"source\": 2, \"target\": 8}, {\"weight\": 16242, \"source\": 2, \"target\": 3}, {\"weight\": 10679, \"source\": 2, \"target\": 7}, {\"weight\": 17832, \"source\": 2, \"target\": 5}, {\"weight\": 12848, \"source\": 3, \"target\": 6}, {\"weight\": 12893, \"source\": 3, \"target\": 4}, {\"weight\": 6518, \"source\": 3, \"target\": 8}, {\"weight\": 14026, \"source\": 3, \"target\": 7}, {\"weight\": 2841, \"source\": 3, \"target\": 5}, {\"weight\": 3825, \"source\": 4, \"target\": 6}, {\"weight\": 15234, \"source\": 4, \"target\": 8}, {\"weight\": 6925, \"source\": 4, \"target\": 7}, {\"weight\": 11191, \"source\": 4, \"target\": 5}, {\"weight\": 13442, \"source\": 5, \"target\": 6}, {\"weight\": 7537, \"source\": 5, \"target\": 8}, {\"weight\": 12563, \"source\": 5, \"target\": 7}, {\"weight\": 12255, \"source\": 6, \"target\": 8}, {\"weight\": 3821, \"source\": 6, \"target\": 7}, {\"weight\": 13493, \"source\": 7, \"target\": 8}]}",
"id": 197,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, CFK, WNR, LYH, DEL, ZTB, HDG, GDX, BTT\n- Travel distances (in kilometers) between each pair of airports:\nVVI to HDG: 18754\nVVI to DEL: 16177\nVVI to BTT: 12081\nVVI to LYH: 6505\nVVI to CFK: 10581\nVVI to GDX: 18074\nVVI to WNR: 15271\nVVI to ZTB: 8673\nCFK to HDG: 10444\nCFK to DEL: 7380\nCFK to BTT: 12306\nCFK to LYH: 8448\nCFK to GDX: 9345\nCFK to WNR: 17053\nCFK to ZTB: 6318\nWNR to HDG: 8139\nWNR to DEL: 9719\nWNR to BTT: 13824\nWNR to LYH: 16242\nWNR to GDX: 10679\nWNR to ZTB: 17832\nLYH to HDG: 12848\nLYH to DEL: 12893\nLYH to BTT: 6518\nLYH to GDX: 14026\nLYH to ZTB: 2841\nDEL to HDG: 3825\nDEL to BTT: 15234\nDEL to GDX: 6925\nDEL to ZTB: 11191\nZTB to HDG: 13442\nZTB to BTT: 7537\nZTB to GDX: 12563\nHDG to BTT: 12255\nHDG to GDX: 3821\nGDX to BTT: 13493\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASJ, HUY, STC, SMA, GYE, SDF, SKZ, YGZ, NBE\n- Travel distances (in kilometers) between each pair of airports:\nASJ to GYE: 15777\nASJ to YGZ: 14832\nASJ to SDF: 11875\nASJ to NBE: 11443\nASJ to HUY: 10780\nASJ to STC: 12058\nASJ to SKZ: 7428\nASJ to SMA: 13295\nHUY to GYE: 9836\nHUY to YGZ: 8797\nHUY to SDF: 6706\nHUY to NBE: 2229\nHUY to STC: 7168\nHUY to SKZ: 6725\nHUY to SMA: 3324\nSTC to GYE: 5635\nSTC to YGZ: 5744\nSTC to SDF: 1094\nSTC to NBE: 8852\nSTC to SKZ: 13093\nSTC to SMA: 5942\nSMA to GYE: 8768\nSMA to YGZ: 8390\nSMA to SDF: 5294\nSMA to NBE: 3642\nSMA to SKZ: 8951\nGYE to YGZ: 9360\nGYE to SDF: 4546\nGYE to NBE: 10724\nGYE to SKZ: 16036\nSDF to YGZ: 5222\nSDF to NBE: 8383\nSDF to SKZ: 12559\nSKZ to YGZ: 14850\nSKZ to NBE: 5960\nYGZ to NBE: 10216\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53925,
"style": "rule"
}
|
{
"exact_answer": 53925,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ASJ\", \"id\": 0}, {\"name\": \"HUY\", \"id\": 1}, {\"name\": \"STC\", \"id\": 2}, {\"name\": \"SMA\", \"id\": 3}, {\"name\": \"GYE\", \"id\": 4}, {\"name\": \"SDF\", \"id\": 5}, {\"name\": \"SKZ\", \"id\": 6}, {\"name\": \"YGZ\", \"id\": 7}, {\"name\": \"NBE\", \"id\": 8}], \"links\": [{\"weight\": 15777, \"source\": 0, \"target\": 4}, {\"weight\": 14832, \"source\": 0, \"target\": 7}, {\"weight\": 11875, \"source\": 0, \"target\": 5}, {\"weight\": 11443, \"source\": 0, \"target\": 8}, {\"weight\": 10780, \"source\": 0, \"target\": 1}, {\"weight\": 12058, \"source\": 0, \"target\": 2}, {\"weight\": 7428, \"source\": 0, \"target\": 6}, {\"weight\": 13295, \"source\": 0, \"target\": 3}, {\"weight\": 9836, \"source\": 1, \"target\": 4}, {\"weight\": 8797, \"source\": 1, \"target\": 7}, {\"weight\": 6706, \"source\": 1, \"target\": 5}, {\"weight\": 2229, \"source\": 1, \"target\": 8}, {\"weight\": 7168, \"source\": 1, \"target\": 2}, {\"weight\": 6725, \"source\": 1, \"target\": 6}, {\"weight\": 3324, \"source\": 1, \"target\": 3}, {\"weight\": 5635, \"source\": 2, \"target\": 4}, {\"weight\": 5744, \"source\": 2, \"target\": 7}, {\"weight\": 1094, \"source\": 2, \"target\": 5}, {\"weight\": 8852, \"source\": 2, \"target\": 8}, {\"weight\": 13093, \"source\": 2, \"target\": 6}, {\"weight\": 5942, \"source\": 2, \"target\": 3}, {\"weight\": 8768, \"source\": 3, \"target\": 4}, {\"weight\": 8390, \"source\": 3, \"target\": 7}, {\"weight\": 5294, \"source\": 3, \"target\": 5}, {\"weight\": 3642, \"source\": 3, \"target\": 8}, {\"weight\": 8951, \"source\": 3, \"target\": 6}, {\"weight\": 9360, \"source\": 4, \"target\": 7}, {\"weight\": 4546, \"source\": 4, \"target\": 5}, {\"weight\": 10724, \"source\": 4, \"target\": 8}, {\"weight\": 16036, \"source\": 4, \"target\": 6}, {\"weight\": 5222, \"source\": 5, \"target\": 7}, {\"weight\": 8383, \"source\": 5, \"target\": 8}, {\"weight\": 12559, \"source\": 5, \"target\": 6}, {\"weight\": 14850, \"source\": 6, \"target\": 7}, {\"weight\": 5960, \"source\": 6, \"target\": 8}, {\"weight\": 10216, \"source\": 7, \"target\": 8}]}",
"id": 198,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASJ, HUY, STC, SMA, GYE, SDF, SKZ, YGZ, NBE\n- Travel distances (in kilometers) between each pair of airports:\nASJ to GYE: 15777\nASJ to YGZ: 14832\nASJ to SDF: 11875\nASJ to NBE: 11443\nASJ to HUY: 10780\nASJ to STC: 12058\nASJ to SKZ: 7428\nASJ to SMA: 13295\nHUY to GYE: 9836\nHUY to YGZ: 8797\nHUY to SDF: 6706\nHUY to NBE: 2229\nHUY to STC: 7168\nHUY to SKZ: 6725\nHUY to SMA: 3324\nSTC to GYE: 5635\nSTC to YGZ: 5744\nSTC to SDF: 1094\nSTC to NBE: 8852\nSTC to SKZ: 13093\nSTC to SMA: 5942\nSMA to GYE: 8768\nSMA to YGZ: 8390\nSMA to SDF: 5294\nSMA to NBE: 3642\nSMA to SKZ: 8951\nGYE to YGZ: 9360\nGYE to SDF: 4546\nGYE to NBE: 10724\nGYE to SKZ: 16036\nSDF to YGZ: 5222\nSDF to NBE: 8383\nSDF to SKZ: 12559\nSKZ to YGZ: 14850\nSKZ to NBE: 5960\nYGZ to NBE: 10216\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, BES, MBJ, TER, WTL, AOI, CMX, CIH, MNA\n- Travel distances (in kilometers) between each pair of airports:\nOIM to AOI: 9991\nOIM to WTL: 10835\nOIM to BES: 10314\nOIM to MBJ: 12958\nOIM to CIH: 2603\nOIM to MNA: 6398\nOIM to TER: 12571\nOIM to CMX: 11060\nBES to AOI: 1721\nBES to WTL: 11123\nBES to MBJ: 8048\nBES to CIH: 9059\nBES to MNA: 13899\nBES to TER: 2840\nBES to CMX: 7260\nMBJ to AOI: 8997\nMBJ to WTL: 8009\nMBJ to CIH: 13854\nMBJ to MNA: 19161\nMBJ to TER: 6802\nMBJ to CMX: 3352\nTER to AOI: 3548\nTER to WTL: 10514\nTER to CIH: 11281\nTER to MNA: 16039\nTER to CMX: 5956\nWTL to AOI: 12034\nWTL to CIH: 12232\nWTL to MNA: 17010\nWTL to CMX: 5852\nAOI to CIH: 8581\nAOI to MNA: 12934\nAOI to CMX: 8283\nCMX to CIH: 11662\nCMX to MNA: 16971\nCIH to MNA: 5604\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51985,
"style": "rule"
}
|
{
"exact_answer": 51985,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OIM\", \"id\": 0}, {\"name\": \"BES\", \"id\": 1}, {\"name\": \"MBJ\", \"id\": 2}, {\"name\": \"TER\", \"id\": 3}, {\"name\": \"WTL\", \"id\": 4}, {\"name\": \"AOI\", \"id\": 5}, {\"name\": \"CMX\", \"id\": 6}, {\"name\": \"CIH\", \"id\": 7}, {\"name\": \"MNA\", \"id\": 8}], \"links\": [{\"weight\": 9991, \"source\": 0, \"target\": 5}, {\"weight\": 10835, \"source\": 0, \"target\": 4}, {\"weight\": 10314, \"source\": 0, \"target\": 1}, {\"weight\": 12958, \"source\": 0, \"target\": 2}, {\"weight\": 2603, \"source\": 0, \"target\": 7}, {\"weight\": 6398, \"source\": 0, \"target\": 8}, {\"weight\": 12571, \"source\": 0, \"target\": 3}, {\"weight\": 11060, \"source\": 0, \"target\": 6}, {\"weight\": 1721, \"source\": 1, \"target\": 5}, {\"weight\": 11123, \"source\": 1, \"target\": 4}, {\"weight\": 8048, \"source\": 1, \"target\": 2}, {\"weight\": 9059, \"source\": 1, \"target\": 7}, {\"weight\": 13899, \"source\": 1, \"target\": 8}, {\"weight\": 2840, \"source\": 1, \"target\": 3}, {\"weight\": 7260, \"source\": 1, \"target\": 6}, {\"weight\": 8997, \"source\": 2, \"target\": 5}, {\"weight\": 8009, \"source\": 2, \"target\": 4}, {\"weight\": 13854, \"source\": 2, \"target\": 7}, {\"weight\": 19161, \"source\": 2, \"target\": 8}, {\"weight\": 6802, \"source\": 2, \"target\": 3}, {\"weight\": 3352, \"source\": 2, \"target\": 6}, {\"weight\": 3548, \"source\": 3, \"target\": 5}, {\"weight\": 10514, \"source\": 3, \"target\": 4}, {\"weight\": 11281, \"source\": 3, \"target\": 7}, {\"weight\": 16039, \"source\": 3, \"target\": 8}, {\"weight\": 5956, \"source\": 3, \"target\": 6}, {\"weight\": 12034, \"source\": 4, \"target\": 5}, {\"weight\": 12232, \"source\": 4, \"target\": 7}, {\"weight\": 17010, \"source\": 4, \"target\": 8}, {\"weight\": 5852, \"source\": 4, \"target\": 6}, {\"weight\": 8581, \"source\": 5, \"target\": 7}, {\"weight\": 12934, \"source\": 5, \"target\": 8}, {\"weight\": 8283, \"source\": 5, \"target\": 6}, {\"weight\": 11662, \"source\": 6, \"target\": 7}, {\"weight\": 16971, \"source\": 6, \"target\": 8}, {\"weight\": 5604, \"source\": 7, \"target\": 8}]}",
"id": 199,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, BES, MBJ, TER, WTL, AOI, CMX, CIH, MNA\n- Travel distances (in kilometers) between each pair of airports:\nOIM to AOI: 9991\nOIM to WTL: 10835\nOIM to BES: 10314\nOIM to MBJ: 12958\nOIM to CIH: 2603\nOIM to MNA: 6398\nOIM to TER: 12571\nOIM to CMX: 11060\nBES to AOI: 1721\nBES to WTL: 11123\nBES to MBJ: 8048\nBES to CIH: 9059\nBES to MNA: 13899\nBES to TER: 2840\nBES to CMX: 7260\nMBJ to AOI: 8997\nMBJ to WTL: 8009\nMBJ to CIH: 13854\nMBJ to MNA: 19161\nMBJ to TER: 6802\nMBJ to CMX: 3352\nTER to AOI: 3548\nTER to WTL: 10514\nTER to CIH: 11281\nTER to MNA: 16039\nTER to CMX: 5956\nWTL to AOI: 12034\nWTL to CIH: 12232\nWTL to MNA: 17010\nWTL to CMX: 5852\nAOI to CIH: 8581\nAOI to MNA: 12934\nAOI to CMX: 8283\nCMX to CIH: 11662\nCMX to MNA: 16971\nCIH to MNA: 5604\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
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