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: BUC, THX, DIL, CKH, KLX, YRB, DOY, BAH, RVN\n- Travel distances (in kilometers) between each pair of airports:\nBUC to YRB: 19583\nBUC to BAH: 11355\nBUC to KLX: 14426\nBUC to RVN: 14519\nBUC to DOY: 7486\nBUC to DIL: 2411\nBUC to CKH: 11005\nBUC to THX: 11346\nTHX to YRB: 14539\nTHX to BAH: 5968\nTHX to KLX: 6728\nTHX to RVN: 5644\nTHX to DOY: 3935\nTHX to DIL: 9917\nTHX to CKH: 4524\nDIL to YRB: 19845\nDIL to BAH: 8958\nDIL to KLX: 12029\nDIL to RVN: 12597\nDIL to DOY: 6356\nDIL to CKH: 10364\nCKH to YRB: 15966\nCKH to BAH: 8298\nCKH to KLX: 8509\nCKH to RVN: 7071\nCKH to DOY: 4173\nKLX to YRB: 10222\nKLX to BAH: 3138\nKLX to RVN: 3368\nKLX to DOY: 8271\nYRB to BAH: 12869\nYRB to RVN: 10318\nYRB to DOY: 14543\nDOY to BAH: 6536\nDOY to RVN: 7336\nBAH to RVN: 5097\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56874,
"style": "rule"
}
|
{
"exact_answer": 56874,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUC\", \"id\": 0}, {\"name\": \"THX\", \"id\": 1}, {\"name\": \"DIL\", \"id\": 2}, {\"name\": \"CKH\", \"id\": 3}, {\"name\": \"KLX\", \"id\": 4}, {\"name\": \"YRB\", \"id\": 5}, {\"name\": \"DOY\", \"id\": 6}, {\"name\": \"BAH\", \"id\": 7}, {\"name\": \"RVN\", \"id\": 8}], \"links\": [{\"weight\": 19583, \"source\": 0, \"target\": 5}, {\"weight\": 11355, \"source\": 0, \"target\": 7}, {\"weight\": 14426, \"source\": 0, \"target\": 4}, {\"weight\": 14519, \"source\": 0, \"target\": 8}, {\"weight\": 7486, \"source\": 0, \"target\": 6}, {\"weight\": 2411, \"source\": 0, \"target\": 2}, {\"weight\": 11005, \"source\": 0, \"target\": 3}, {\"weight\": 11346, \"source\": 0, \"target\": 1}, {\"weight\": 14539, \"source\": 1, \"target\": 5}, {\"weight\": 5968, \"source\": 1, \"target\": 7}, {\"weight\": 6728, \"source\": 1, \"target\": 4}, {\"weight\": 5644, \"source\": 1, \"target\": 8}, {\"weight\": 3935, \"source\": 1, \"target\": 6}, {\"weight\": 9917, \"source\": 1, \"target\": 2}, {\"weight\": 4524, \"source\": 1, \"target\": 3}, {\"weight\": 19845, \"source\": 2, \"target\": 5}, {\"weight\": 8958, \"source\": 2, \"target\": 7}, {\"weight\": 12029, \"source\": 2, \"target\": 4}, {\"weight\": 12597, \"source\": 2, \"target\": 8}, {\"weight\": 6356, \"source\": 2, \"target\": 6}, {\"weight\": 10364, \"source\": 2, \"target\": 3}, {\"weight\": 15966, \"source\": 3, \"target\": 5}, {\"weight\": 8298, \"source\": 3, \"target\": 7}, {\"weight\": 8509, \"source\": 3, \"target\": 4}, {\"weight\": 7071, \"source\": 3, \"target\": 8}, {\"weight\": 4173, \"source\": 3, \"target\": 6}, {\"weight\": 10222, \"source\": 4, \"target\": 5}, {\"weight\": 3138, \"source\": 4, \"target\": 7}, {\"weight\": 3368, \"source\": 4, \"target\": 8}, {\"weight\": 8271, \"source\": 4, \"target\": 6}, {\"weight\": 12869, \"source\": 5, \"target\": 7}, {\"weight\": 10318, \"source\": 5, \"target\": 8}, {\"weight\": 14543, \"source\": 5, \"target\": 6}, {\"weight\": 6536, \"source\": 6, \"target\": 7}, {\"weight\": 7336, \"source\": 6, \"target\": 8}, {\"weight\": 5097, \"source\": 7, \"target\": 8}]}",
"id": 1200,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUC, THX, DIL, CKH, KLX, YRB, DOY, BAH, RVN\n- Travel distances (in kilometers) between each pair of airports:\nBUC to YRB: 19583\nBUC to BAH: 11355\nBUC to KLX: 14426\nBUC to RVN: 14519\nBUC to DOY: 7486\nBUC to DIL: 2411\nBUC to CKH: 11005\nBUC to THX: 11346\nTHX to YRB: 14539\nTHX to BAH: 5968\nTHX to KLX: 6728\nTHX to RVN: 5644\nTHX to DOY: 3935\nTHX to DIL: 9917\nTHX to CKH: 4524\nDIL to YRB: 19845\nDIL to BAH: 8958\nDIL to KLX: 12029\nDIL to RVN: 12597\nDIL to DOY: 6356\nDIL to CKH: 10364\nCKH to YRB: 15966\nCKH to BAH: 8298\nCKH to KLX: 8509\nCKH to RVN: 7071\nCKH to DOY: 4173\nKLX to YRB: 10222\nKLX to BAH: 3138\nKLX to RVN: 3368\nKLX to DOY: 8271\nYRB to BAH: 12869\nYRB to RVN: 10318\nYRB to DOY: 14543\nDOY to BAH: 6536\nDOY to RVN: 7336\nBAH to RVN: 5097\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, KTS, OAK, PSS, NAG, ORI, PSO, PZH, BWA\n- Travel distances (in kilometers) between each pair of airports:\nBEW to ORI: 19522\nBEW to NAG: 7467\nBEW to KTS: 20058\nBEW to PSO: 13261\nBEW to OAK: 17819\nBEW to PSS: 10943\nBEW to PZH: 7056\nBEW to BWA: 8567\nKTS to ORI: 1398\nKTS to NAG: 16546\nKTS to PSO: 10029\nKTS to OAK: 4318\nKTS to PSS: 15278\nKTS to PZH: 16405\nKTS to BWA: 15357\nOAK to ORI: 3782\nOAK to NAG: 14335\nOAK to PSO: 6307\nOAK to PSS: 11261\nOAK to PZH: 13902\nOAK to BWA: 13146\nPSS to ORI: 14742\nPSS to NAG: 16966\nPSS to PSO: 5990\nPSS to PZH: 16265\nPSS to BWA: 17864\nNAG to ORI: 16010\nNAG to PSO: 16565\nNAG to PZH: 2043\nNAG to BWA: 1818\nORI to PSO: 9493\nORI to PZH: 15869\nORI to BWA: 14821\nPSO to PZH: 15180\nPSO to BWA: 16718\nPZH to BWA: 2196\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54694,
"style": "rule"
}
|
{
"exact_answer": 54694,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BEW\", \"id\": 0}, {\"name\": \"KTS\", \"id\": 1}, {\"name\": \"OAK\", \"id\": 2}, {\"name\": \"PSS\", \"id\": 3}, {\"name\": \"NAG\", \"id\": 4}, {\"name\": \"ORI\", \"id\": 5}, {\"name\": \"PSO\", \"id\": 6}, {\"name\": \"PZH\", \"id\": 7}, {\"name\": \"BWA\", \"id\": 8}], \"links\": [{\"weight\": 19522, \"source\": 0, \"target\": 5}, {\"weight\": 7467, \"source\": 0, \"target\": 4}, {\"weight\": 20058, \"source\": 0, \"target\": 1}, {\"weight\": 13261, \"source\": 0, \"target\": 6}, {\"weight\": 17819, \"source\": 0, \"target\": 2}, {\"weight\": 10943, \"source\": 0, \"target\": 3}, {\"weight\": 7056, \"source\": 0, \"target\": 7}, {\"weight\": 8567, \"source\": 0, \"target\": 8}, {\"weight\": 1398, \"source\": 1, \"target\": 5}, {\"weight\": 16546, \"source\": 1, \"target\": 4}, {\"weight\": 10029, \"source\": 1, \"target\": 6}, {\"weight\": 4318, \"source\": 1, \"target\": 2}, {\"weight\": 15278, \"source\": 1, \"target\": 3}, {\"weight\": 16405, \"source\": 1, \"target\": 7}, {\"weight\": 15357, \"source\": 1, \"target\": 8}, {\"weight\": 3782, \"source\": 2, \"target\": 5}, {\"weight\": 14335, \"source\": 2, \"target\": 4}, {\"weight\": 6307, \"source\": 2, \"target\": 6}, {\"weight\": 11261, \"source\": 2, \"target\": 3}, {\"weight\": 13902, \"source\": 2, \"target\": 7}, {\"weight\": 13146, \"source\": 2, \"target\": 8}, {\"weight\": 14742, \"source\": 3, \"target\": 5}, {\"weight\": 16966, \"source\": 3, \"target\": 4}, {\"weight\": 5990, \"source\": 3, \"target\": 6}, {\"weight\": 16265, \"source\": 3, \"target\": 7}, {\"weight\": 17864, \"source\": 3, \"target\": 8}, {\"weight\": 16010, \"source\": 4, \"target\": 5}, {\"weight\": 16565, \"source\": 4, \"target\": 6}, {\"weight\": 2043, \"source\": 4, \"target\": 7}, {\"weight\": 1818, \"source\": 4, \"target\": 8}, {\"weight\": 9493, \"source\": 5, \"target\": 6}, {\"weight\": 15869, \"source\": 5, \"target\": 7}, {\"weight\": 14821, \"source\": 5, \"target\": 8}, {\"weight\": 15180, \"source\": 6, \"target\": 7}, {\"weight\": 16718, \"source\": 6, \"target\": 8}, {\"weight\": 2196, \"source\": 7, \"target\": 8}]}",
"id": 1201,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, KTS, OAK, PSS, NAG, ORI, PSO, PZH, BWA\n- Travel distances (in kilometers) between each pair of airports:\nBEW to ORI: 19522\nBEW to NAG: 7467\nBEW to KTS: 20058\nBEW to PSO: 13261\nBEW to OAK: 17819\nBEW to PSS: 10943\nBEW to PZH: 7056\nBEW to BWA: 8567\nKTS to ORI: 1398\nKTS to NAG: 16546\nKTS to PSO: 10029\nKTS to OAK: 4318\nKTS to PSS: 15278\nKTS to PZH: 16405\nKTS to BWA: 15357\nOAK to ORI: 3782\nOAK to NAG: 14335\nOAK to PSO: 6307\nOAK to PSS: 11261\nOAK to PZH: 13902\nOAK to BWA: 13146\nPSS to ORI: 14742\nPSS to NAG: 16966\nPSS to PSO: 5990\nPSS to PZH: 16265\nPSS to BWA: 17864\nNAG to ORI: 16010\nNAG to PSO: 16565\nNAG to PZH: 2043\nNAG to BWA: 1818\nORI to PSO: 9493\nORI to PZH: 15869\nORI to BWA: 14821\nPSO to PZH: 15180\nPSO to BWA: 16718\nPZH to BWA: 2196\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FON, BEY, ARM, YQT, KMQ, SJC, TSJ, AXM, LSY\n- Travel distances (in kilometers) between each pair of airports:\nFON to SJC: 4944\nFON to YQT: 4748\nFON to BEY: 12078\nFON to AXM: 1505\nFON to KMQ: 13559\nFON to TSJ: 14240\nFON to ARM: 16819\nFON to LSY: 17039\nBEY to SJC: 12066\nBEY to YQT: 10092\nBEY to AXM: 11723\nBEY to KMQ: 8881\nBEY to TSJ: 8654\nBEY to ARM: 14565\nBEY to LSY: 14785\nARM to SJC: 12437\nARM to YQT: 15345\nARM to AXM: 16153\nARM to KMQ: 8577\nARM to TSJ: 8525\nARM to LSY: 984\nYQT to SJC: 3327\nYQT to AXM: 5317\nYQT to KMQ: 10100\nYQT to TSJ: 10804\nYQT to LSY: 15565\nKMQ to SJC: 8640\nKMQ to AXM: 14749\nKMQ to TSJ: 754\nKMQ to LSY: 8797\nSJC to AXM: 6253\nSJC to TSJ: 9344\nSJC to LSY: 12657\nTSJ to AXM: 15453\nTSJ to LSY: 8745\nAXM to LSY: 16373\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52929,
"style": "rule"
}
|
{
"exact_answer": 52929,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FON\", \"id\": 0}, {\"name\": \"BEY\", \"id\": 1}, {\"name\": \"ARM\", \"id\": 2}, {\"name\": \"YQT\", \"id\": 3}, {\"name\": \"KMQ\", \"id\": 4}, {\"name\": \"SJC\", \"id\": 5}, {\"name\": \"TSJ\", \"id\": 6}, {\"name\": \"AXM\", \"id\": 7}, {\"name\": \"LSY\", \"id\": 8}], \"links\": [{\"weight\": 4944, \"source\": 0, \"target\": 5}, {\"weight\": 4748, \"source\": 0, \"target\": 3}, {\"weight\": 12078, \"source\": 0, \"target\": 1}, {\"weight\": 1505, \"source\": 0, \"target\": 7}, {\"weight\": 13559, \"source\": 0, \"target\": 4}, {\"weight\": 14240, \"source\": 0, \"target\": 6}, {\"weight\": 16819, \"source\": 0, \"target\": 2}, {\"weight\": 17039, \"source\": 0, \"target\": 8}, {\"weight\": 12066, \"source\": 1, \"target\": 5}, {\"weight\": 10092, \"source\": 1, \"target\": 3}, {\"weight\": 11723, \"source\": 1, \"target\": 7}, {\"weight\": 8881, \"source\": 1, \"target\": 4}, {\"weight\": 8654, \"source\": 1, \"target\": 6}, {\"weight\": 14565, \"source\": 1, \"target\": 2}, {\"weight\": 14785, \"source\": 1, \"target\": 8}, {\"weight\": 12437, \"source\": 2, \"target\": 5}, {\"weight\": 15345, \"source\": 2, \"target\": 3}, {\"weight\": 16153, \"source\": 2, \"target\": 7}, {\"weight\": 8577, \"source\": 2, \"target\": 4}, {\"weight\": 8525, \"source\": 2, \"target\": 6}, {\"weight\": 984, \"source\": 2, \"target\": 8}, {\"weight\": 3327, \"source\": 3, \"target\": 5}, {\"weight\": 5317, \"source\": 3, \"target\": 7}, {\"weight\": 10100, \"source\": 3, \"target\": 4}, {\"weight\": 10804, \"source\": 3, \"target\": 6}, {\"weight\": 15565, \"source\": 3, \"target\": 8}, {\"weight\": 8640, \"source\": 4, \"target\": 5}, {\"weight\": 14749, \"source\": 4, \"target\": 7}, {\"weight\": 754, \"source\": 4, \"target\": 6}, {\"weight\": 8797, \"source\": 4, \"target\": 8}, {\"weight\": 6253, \"source\": 5, \"target\": 7}, {\"weight\": 9344, \"source\": 5, \"target\": 6}, {\"weight\": 12657, \"source\": 5, \"target\": 8}, {\"weight\": 15453, \"source\": 6, \"target\": 7}, {\"weight\": 8745, \"source\": 6, \"target\": 8}, {\"weight\": 16373, \"source\": 7, \"target\": 8}]}",
"id": 1202,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FON, BEY, ARM, YQT, KMQ, SJC, TSJ, AXM, LSY\n- Travel distances (in kilometers) between each pair of airports:\nFON to SJC: 4944\nFON to YQT: 4748\nFON to BEY: 12078\nFON to AXM: 1505\nFON to KMQ: 13559\nFON to TSJ: 14240\nFON to ARM: 16819\nFON to LSY: 17039\nBEY to SJC: 12066\nBEY to YQT: 10092\nBEY to AXM: 11723\nBEY to KMQ: 8881\nBEY to TSJ: 8654\nBEY to ARM: 14565\nBEY to LSY: 14785\nARM to SJC: 12437\nARM to YQT: 15345\nARM to AXM: 16153\nARM to KMQ: 8577\nARM to TSJ: 8525\nARM to LSY: 984\nYQT to SJC: 3327\nYQT to AXM: 5317\nYQT to KMQ: 10100\nYQT to TSJ: 10804\nYQT to LSY: 15565\nKMQ to SJC: 8640\nKMQ to AXM: 14749\nKMQ to TSJ: 754\nKMQ to LSY: 8797\nSJC to AXM: 6253\nSJC to TSJ: 9344\nSJC to LSY: 12657\nTSJ to AXM: 15453\nTSJ to LSY: 8745\nAXM to LSY: 16373\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LEH, AJF, BJF, HID, GYD, ASP, ELP, JUB, TRE\n- Travel distances (in kilometers) between each pair of airports:\nLEH to GYD: 4215\nLEH to JUB: 6243\nLEH to ASP: 15801\nLEH to ELP: 9616\nLEH to TRE: 2037\nLEH to HID: 16530\nLEH to AJF: 5553\nLEH to BJF: 3684\nAJF to GYD: 2653\nAJF to JUB: 3023\nAJF to ASP: 12162\nAJF to ELP: 13983\nAJF to TRE: 6287\nAJF to HID: 13325\nAJF to BJF: 7007\nBJF to GYD: 4382\nBJF to JUB: 7791\nBJF to ASP: 15146\nBJF to ELP: 9473\nBJF to TRE: 2896\nBJF to HID: 15872\nHID to GYD: 12721\nHID to JUB: 14115\nHID to ASP: 2248\nHID to ELP: 14865\nHID to TRE: 16425\nGYD to JUB: 4485\nGYD to ASP: 11597\nGYD to ELP: 11858\nGYD to TRE: 4430\nASP to JUB: 11867\nASP to ELP: 14645\nASP to TRE: 15696\nELP to JUB: 14668\nELP to TRE: 8136\nJUB to TRE: 6977\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52895,
"style": "rule"
}
|
{
"exact_answer": 52895,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LEH\", \"id\": 0}, {\"name\": \"AJF\", \"id\": 1}, {\"name\": \"BJF\", \"id\": 2}, {\"name\": \"HID\", \"id\": 3}, {\"name\": \"GYD\", \"id\": 4}, {\"name\": \"ASP\", \"id\": 5}, {\"name\": \"ELP\", \"id\": 6}, {\"name\": \"JUB\", \"id\": 7}, {\"name\": \"TRE\", \"id\": 8}], \"links\": [{\"weight\": 4215, \"source\": 0, \"target\": 4}, {\"weight\": 6243, \"source\": 0, \"target\": 7}, {\"weight\": 15801, \"source\": 0, \"target\": 5}, {\"weight\": 9616, \"source\": 0, \"target\": 6}, {\"weight\": 2037, \"source\": 0, \"target\": 8}, {\"weight\": 16530, \"source\": 0, \"target\": 3}, {\"weight\": 5553, \"source\": 0, \"target\": 1}, {\"weight\": 3684, \"source\": 0, \"target\": 2}, {\"weight\": 2653, \"source\": 1, \"target\": 4}, {\"weight\": 3023, \"source\": 1, \"target\": 7}, {\"weight\": 12162, \"source\": 1, \"target\": 5}, {\"weight\": 13983, \"source\": 1, \"target\": 6}, {\"weight\": 6287, \"source\": 1, \"target\": 8}, {\"weight\": 13325, \"source\": 1, \"target\": 3}, {\"weight\": 7007, \"source\": 1, \"target\": 2}, {\"weight\": 4382, \"source\": 2, \"target\": 4}, {\"weight\": 7791, \"source\": 2, \"target\": 7}, {\"weight\": 15146, \"source\": 2, \"target\": 5}, {\"weight\": 9473, \"source\": 2, \"target\": 6}, {\"weight\": 2896, \"source\": 2, \"target\": 8}, {\"weight\": 15872, \"source\": 2, \"target\": 3}, {\"weight\": 12721, \"source\": 3, \"target\": 4}, {\"weight\": 14115, \"source\": 3, \"target\": 7}, {\"weight\": 2248, \"source\": 3, \"target\": 5}, {\"weight\": 14865, \"source\": 3, \"target\": 6}, {\"weight\": 16425, \"source\": 3, \"target\": 8}, {\"weight\": 4485, \"source\": 4, \"target\": 7}, {\"weight\": 11597, \"source\": 4, \"target\": 5}, {\"weight\": 11858, \"source\": 4, \"target\": 6}, {\"weight\": 4430, \"source\": 4, \"target\": 8}, {\"weight\": 11867, \"source\": 5, \"target\": 7}, {\"weight\": 14645, \"source\": 5, \"target\": 6}, {\"weight\": 15696, \"source\": 5, \"target\": 8}, {\"weight\": 14668, \"source\": 6, \"target\": 7}, {\"weight\": 8136, \"source\": 6, \"target\": 8}, {\"weight\": 6977, \"source\": 7, \"target\": 8}]}",
"id": 1203,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LEH, AJF, BJF, HID, GYD, ASP, ELP, JUB, TRE\n- Travel distances (in kilometers) between each pair of airports:\nLEH to GYD: 4215\nLEH to JUB: 6243\nLEH to ASP: 15801\nLEH to ELP: 9616\nLEH to TRE: 2037\nLEH to HID: 16530\nLEH to AJF: 5553\nLEH to BJF: 3684\nAJF to GYD: 2653\nAJF to JUB: 3023\nAJF to ASP: 12162\nAJF to ELP: 13983\nAJF to TRE: 6287\nAJF to HID: 13325\nAJF to BJF: 7007\nBJF to GYD: 4382\nBJF to JUB: 7791\nBJF to ASP: 15146\nBJF to ELP: 9473\nBJF to TRE: 2896\nBJF to HID: 15872\nHID to GYD: 12721\nHID to JUB: 14115\nHID to ASP: 2248\nHID to ELP: 14865\nHID to TRE: 16425\nGYD to JUB: 4485\nGYD to ASP: 11597\nGYD to ELP: 11858\nGYD to TRE: 4430\nASP to JUB: 11867\nASP to ELP: 14645\nASP to TRE: 15696\nELP to JUB: 14668\nELP to TRE: 8136\nJUB to TRE: 6977\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HDM, CKH, GEO, OMA, PPV, YXJ, BGO, KHN, SJZ\n- Travel distances (in kilometers) between each pair of airports:\nHDM to KHN: 6550\nHDM to BGO: 6397\nHDM to YXJ: 13344\nHDM to OMA: 13070\nHDM to GEO: 13731\nHDM to PPV: 14924\nHDM to CKH: 7914\nHDM to SJZ: 8530\nCKH to KHN: 5087\nCKH to BGO: 7463\nCKH to YXJ: 12565\nCKH to OMA: 14112\nCKH to GEO: 15731\nCKH to PPV: 13169\nCKH to SJZ: 10917\nGEO to KHN: 16323\nGEO to BGO: 8500\nGEO to YXJ: 7835\nGEO to OMA: 5389\nGEO to PPV: 8797\nGEO to SJZ: 7963\nOMA to KHN: 11936\nOMA to BGO: 7026\nOMA to YXJ: 2758\nOMA to PPV: 3447\nOMA to SJZ: 6118\nPPV to KHN: 10993\nPPV to BGO: 8552\nPPV to YXJ: 2256\nPPV to SJZ: 9309\nYXJ to KHN: 10367\nYXJ to BGO: 6972\nYXJ to SJZ: 7991\nBGO to KHN: 8410\nBGO to SJZ: 3802\nKHN to SJZ: 11870\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52559,
"style": "rule"
}
|
{
"exact_answer": 52559,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HDM\", \"id\": 0}, {\"name\": \"CKH\", \"id\": 1}, {\"name\": \"GEO\", \"id\": 2}, {\"name\": \"OMA\", \"id\": 3}, {\"name\": \"PPV\", \"id\": 4}, {\"name\": \"YXJ\", \"id\": 5}, {\"name\": \"BGO\", \"id\": 6}, {\"name\": \"KHN\", \"id\": 7}, {\"name\": \"SJZ\", \"id\": 8}], \"links\": [{\"weight\": 6550, \"source\": 0, \"target\": 7}, {\"weight\": 6397, \"source\": 0, \"target\": 6}, {\"weight\": 13344, \"source\": 0, \"target\": 5}, {\"weight\": 13070, \"source\": 0, \"target\": 3}, {\"weight\": 13731, \"source\": 0, \"target\": 2}, {\"weight\": 14924, \"source\": 0, \"target\": 4}, {\"weight\": 7914, \"source\": 0, \"target\": 1}, {\"weight\": 8530, \"source\": 0, \"target\": 8}, {\"weight\": 5087, \"source\": 1, \"target\": 7}, {\"weight\": 7463, \"source\": 1, \"target\": 6}, {\"weight\": 12565, \"source\": 1, \"target\": 5}, {\"weight\": 14112, \"source\": 1, \"target\": 3}, {\"weight\": 15731, \"source\": 1, \"target\": 2}, {\"weight\": 13169, \"source\": 1, \"target\": 4}, {\"weight\": 10917, \"source\": 1, \"target\": 8}, {\"weight\": 16323, \"source\": 2, \"target\": 7}, {\"weight\": 8500, \"source\": 2, \"target\": 6}, {\"weight\": 7835, \"source\": 2, \"target\": 5}, {\"weight\": 5389, \"source\": 2, \"target\": 3}, {\"weight\": 8797, \"source\": 2, \"target\": 4}, {\"weight\": 7963, \"source\": 2, \"target\": 8}, {\"weight\": 11936, \"source\": 3, \"target\": 7}, {\"weight\": 7026, \"source\": 3, \"target\": 6}, {\"weight\": 2758, \"source\": 3, \"target\": 5}, {\"weight\": 3447, \"source\": 3, \"target\": 4}, {\"weight\": 6118, \"source\": 3, \"target\": 8}, {\"weight\": 10993, \"source\": 4, \"target\": 7}, {\"weight\": 8552, \"source\": 4, \"target\": 6}, {\"weight\": 2256, \"source\": 4, \"target\": 5}, {\"weight\": 9309, \"source\": 4, \"target\": 8}, {\"weight\": 10367, \"source\": 5, \"target\": 7}, {\"weight\": 6972, \"source\": 5, \"target\": 6}, {\"weight\": 7991, \"source\": 5, \"target\": 8}, {\"weight\": 8410, \"source\": 6, \"target\": 7}, {\"weight\": 3802, \"source\": 6, \"target\": 8}, {\"weight\": 11870, \"source\": 7, \"target\": 8}]}",
"id": 1204,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HDM, CKH, GEO, OMA, PPV, YXJ, BGO, KHN, SJZ\n- Travel distances (in kilometers) between each pair of airports:\nHDM to KHN: 6550\nHDM to BGO: 6397\nHDM to YXJ: 13344\nHDM to OMA: 13070\nHDM to GEO: 13731\nHDM to PPV: 14924\nHDM to CKH: 7914\nHDM to SJZ: 8530\nCKH to KHN: 5087\nCKH to BGO: 7463\nCKH to YXJ: 12565\nCKH to OMA: 14112\nCKH to GEO: 15731\nCKH to PPV: 13169\nCKH to SJZ: 10917\nGEO to KHN: 16323\nGEO to BGO: 8500\nGEO to YXJ: 7835\nGEO to OMA: 5389\nGEO to PPV: 8797\nGEO to SJZ: 7963\nOMA to KHN: 11936\nOMA to BGO: 7026\nOMA to YXJ: 2758\nOMA to PPV: 3447\nOMA to SJZ: 6118\nPPV to KHN: 10993\nPPV to BGO: 8552\nPPV to YXJ: 2256\nPPV to SJZ: 9309\nYXJ to KHN: 10367\nYXJ to BGO: 6972\nYXJ to SJZ: 7991\nBGO to KHN: 8410\nBGO to SJZ: 3802\nKHN to SJZ: 11870\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CTC, KOI, PMW, ROS, ADD, MCV, BIA, CJB, KUA\n- Travel distances (in kilometers) between each pair of airports:\nCTC to PMW: 4002\nCTC to BIA: 12128\nCTC to CJB: 17364\nCTC to ROS: 1246\nCTC to ADD: 12586\nCTC to KOI: 12850\nCTC to KUA: 18807\nCTC to MCV: 17317\nKOI to PMW: 9788\nKOI to BIA: 2042\nKOI to CJB: 8613\nKOI to ROS: 11946\nKOI to ADD: 6613\nKOI to KUA: 10823\nKOI to MCV: 14652\nPMW to BIA: 9082\nPMW to CJB: 15600\nPMW to ROS: 3225\nPMW to ADD: 11191\nPMW to KUA: 17628\nPMW to MCV: 19298\nROS to BIA: 11224\nROS to CJB: 16510\nROS to ADD: 11740\nROS to KUA: 17903\nROS to MCV: 16236\nADD to BIA: 5162\nADD to CJB: 4836\nADD to KUA: 7660\nADD to MCV: 11811\nMCV to BIA: 14740\nMCV to CJB: 7220\nMCV to KUA: 4339\nBIA to CJB: 7798\nBIA to KUA: 10594\nCJB to KUA: 3234\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50885,
"style": "rule"
}
|
{
"exact_answer": 50885,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CTC\", \"id\": 0}, {\"name\": \"KOI\", \"id\": 1}, {\"name\": \"PMW\", \"id\": 2}, {\"name\": \"ROS\", \"id\": 3}, {\"name\": \"ADD\", \"id\": 4}, {\"name\": \"MCV\", \"id\": 5}, {\"name\": \"BIA\", \"id\": 6}, {\"name\": \"CJB\", \"id\": 7}, {\"name\": \"KUA\", \"id\": 8}], \"links\": [{\"weight\": 4002, \"source\": 0, \"target\": 2}, {\"weight\": 12128, \"source\": 0, \"target\": 6}, {\"weight\": 17364, \"source\": 0, \"target\": 7}, {\"weight\": 1246, \"source\": 0, \"target\": 3}, {\"weight\": 12586, \"source\": 0, \"target\": 4}, {\"weight\": 12850, \"source\": 0, \"target\": 1}, {\"weight\": 18807, \"source\": 0, \"target\": 8}, {\"weight\": 17317, \"source\": 0, \"target\": 5}, {\"weight\": 9788, \"source\": 1, \"target\": 2}, {\"weight\": 2042, \"source\": 1, \"target\": 6}, {\"weight\": 8613, \"source\": 1, \"target\": 7}, {\"weight\": 11946, \"source\": 1, \"target\": 3}, {\"weight\": 6613, \"source\": 1, \"target\": 4}, {\"weight\": 10823, \"source\": 1, \"target\": 8}, {\"weight\": 14652, \"source\": 1, \"target\": 5}, {\"weight\": 9082, \"source\": 2, \"target\": 6}, {\"weight\": 15600, \"source\": 2, \"target\": 7}, {\"weight\": 3225, \"source\": 2, \"target\": 3}, {\"weight\": 11191, \"source\": 2, \"target\": 4}, {\"weight\": 17628, \"source\": 2, \"target\": 8}, {\"weight\": 19298, \"source\": 2, \"target\": 5}, {\"weight\": 11224, \"source\": 3, \"target\": 6}, {\"weight\": 16510, \"source\": 3, \"target\": 7}, {\"weight\": 11740, \"source\": 3, \"target\": 4}, {\"weight\": 17903, \"source\": 3, \"target\": 8}, {\"weight\": 16236, \"source\": 3, \"target\": 5}, {\"weight\": 5162, \"source\": 4, \"target\": 6}, {\"weight\": 4836, \"source\": 4, \"target\": 7}, {\"weight\": 7660, \"source\": 4, \"target\": 8}, {\"weight\": 11811, \"source\": 4, \"target\": 5}, {\"weight\": 14740, \"source\": 5, \"target\": 6}, {\"weight\": 7220, \"source\": 5, \"target\": 7}, {\"weight\": 4339, \"source\": 5, \"target\": 8}, {\"weight\": 7798, \"source\": 6, \"target\": 7}, {\"weight\": 10594, \"source\": 6, \"target\": 8}, {\"weight\": 3234, \"source\": 7, \"target\": 8}]}",
"id": 1205,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CTC, KOI, PMW, ROS, ADD, MCV, BIA, CJB, KUA\n- Travel distances (in kilometers) between each pair of airports:\nCTC to PMW: 4002\nCTC to BIA: 12128\nCTC to CJB: 17364\nCTC to ROS: 1246\nCTC to ADD: 12586\nCTC to KOI: 12850\nCTC to KUA: 18807\nCTC to MCV: 17317\nKOI to PMW: 9788\nKOI to BIA: 2042\nKOI to CJB: 8613\nKOI to ROS: 11946\nKOI to ADD: 6613\nKOI to KUA: 10823\nKOI to MCV: 14652\nPMW to BIA: 9082\nPMW to CJB: 15600\nPMW to ROS: 3225\nPMW to ADD: 11191\nPMW to KUA: 17628\nPMW to MCV: 19298\nROS to BIA: 11224\nROS to CJB: 16510\nROS to ADD: 11740\nROS to KUA: 17903\nROS to MCV: 16236\nADD to BIA: 5162\nADD to CJB: 4836\nADD to KUA: 7660\nADD to MCV: 11811\nMCV to BIA: 14740\nMCV to CJB: 7220\nMCV to KUA: 4339\nBIA to CJB: 7798\nBIA to KUA: 10594\nCJB to KUA: 3234\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EJA, MRV, PIE, SBW, LLK, ACV, XKS, GRI, YLL\n- Travel distances (in kilometers) between each pair of airports:\nEJA to MRV: 12229\nEJA to YLL: 6991\nEJA to GRI: 5097\nEJA to SBW: 19252\nEJA to PIE: 4498\nEJA to LLK: 13243\nEJA to ACV: 6681\nEJA to XKS: 6247\nMRV to YLL: 10205\nMRV to GRI: 11634\nMRV to SBW: 8520\nMRV to PIE: 10500\nMRV to LLK: 3319\nMRV to ACV: 11794\nMRV to XKS: 10440\nPIE to YLL: 4155\nPIE to GRI: 2847\nPIE to SBW: 16395\nPIE to LLK: 11228\nPIE to ACV: 4254\nPIE to XKS: 3433\nSBW to YLL: 13047\nSBW to GRI: 15140\nSBW to LLK: 11227\nSBW to ACV: 13319\nSBW to XKS: 14704\nLLK to YLL: 10933\nLLK to GRI: 12406\nLLK to ACV: 12522\nLLK to XKS: 11194\nACV to YLL: 2346\nACV to GRI: 2529\nACV to XKS: 3880\nXKS to YLL: 2383\nXKS to GRI: 3740\nGRI to YLL: 3596\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53983,
"style": "rule"
}
|
{
"exact_answer": 53983,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EJA\", \"id\": 0}, {\"name\": \"MRV\", \"id\": 1}, {\"name\": \"PIE\", \"id\": 2}, {\"name\": \"SBW\", \"id\": 3}, {\"name\": \"LLK\", \"id\": 4}, {\"name\": \"ACV\", \"id\": 5}, {\"name\": \"XKS\", \"id\": 6}, {\"name\": \"GRI\", \"id\": 7}, {\"name\": \"YLL\", \"id\": 8}], \"links\": [{\"weight\": 12229, \"source\": 0, \"target\": 1}, {\"weight\": 6991, \"source\": 0, \"target\": 8}, {\"weight\": 5097, \"source\": 0, \"target\": 7}, {\"weight\": 19252, \"source\": 0, \"target\": 3}, {\"weight\": 4498, \"source\": 0, \"target\": 2}, {\"weight\": 13243, \"source\": 0, \"target\": 4}, {\"weight\": 6681, \"source\": 0, \"target\": 5}, {\"weight\": 6247, \"source\": 0, \"target\": 6}, {\"weight\": 10205, \"source\": 1, \"target\": 8}, {\"weight\": 11634, \"source\": 1, \"target\": 7}, {\"weight\": 8520, \"source\": 1, \"target\": 3}, {\"weight\": 10500, \"source\": 1, \"target\": 2}, {\"weight\": 3319, \"source\": 1, \"target\": 4}, {\"weight\": 11794, \"source\": 1, \"target\": 5}, {\"weight\": 10440, \"source\": 1, \"target\": 6}, {\"weight\": 4155, \"source\": 2, \"target\": 8}, {\"weight\": 2847, \"source\": 2, \"target\": 7}, {\"weight\": 16395, \"source\": 2, \"target\": 3}, {\"weight\": 11228, \"source\": 2, \"target\": 4}, {\"weight\": 4254, \"source\": 2, \"target\": 5}, {\"weight\": 3433, \"source\": 2, \"target\": 6}, {\"weight\": 13047, \"source\": 3, \"target\": 8}, {\"weight\": 15140, \"source\": 3, \"target\": 7}, {\"weight\": 11227, \"source\": 3, \"target\": 4}, {\"weight\": 13319, \"source\": 3, \"target\": 5}, {\"weight\": 14704, \"source\": 3, \"target\": 6}, {\"weight\": 10933, \"source\": 4, \"target\": 8}, {\"weight\": 12406, \"source\": 4, \"target\": 7}, {\"weight\": 12522, \"source\": 4, \"target\": 5}, {\"weight\": 11194, \"source\": 4, \"target\": 6}, {\"weight\": 2346, \"source\": 5, \"target\": 8}, {\"weight\": 2529, \"source\": 5, \"target\": 7}, {\"weight\": 3880, \"source\": 5, \"target\": 6}, {\"weight\": 2383, \"source\": 6, \"target\": 8}, {\"weight\": 3740, \"source\": 6, \"target\": 7}, {\"weight\": 3596, \"source\": 7, \"target\": 8}]}",
"id": 1206,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EJA, MRV, PIE, SBW, LLK, ACV, XKS, GRI, YLL\n- Travel distances (in kilometers) between each pair of airports:\nEJA to MRV: 12229\nEJA to YLL: 6991\nEJA to GRI: 5097\nEJA to SBW: 19252\nEJA to PIE: 4498\nEJA to LLK: 13243\nEJA to ACV: 6681\nEJA to XKS: 6247\nMRV to YLL: 10205\nMRV to GRI: 11634\nMRV to SBW: 8520\nMRV to PIE: 10500\nMRV to LLK: 3319\nMRV to ACV: 11794\nMRV to XKS: 10440\nPIE to YLL: 4155\nPIE to GRI: 2847\nPIE to SBW: 16395\nPIE to LLK: 11228\nPIE to ACV: 4254\nPIE to XKS: 3433\nSBW to YLL: 13047\nSBW to GRI: 15140\nSBW to LLK: 11227\nSBW to ACV: 13319\nSBW to XKS: 14704\nLLK to YLL: 10933\nLLK to GRI: 12406\nLLK to ACV: 12522\nLLK to XKS: 11194\nACV to YLL: 2346\nACV to GRI: 2529\nACV to XKS: 3880\nXKS to YLL: 2383\nXKS to GRI: 3740\nGRI to YLL: 3596\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, UAP, LIG, LNK, BGW, NGO, MJD, YOW, SLC\n- Travel distances (in kilometers) between each pair of airports:\nUKS to YOW: 8131\nUKS to NGO: 8885\nUKS to SLC: 10417\nUKS to LIG: 2938\nUKS to LNK: 9583\nUKS to BGW: 3033\nUKS to MJD: 5211\nUKS to UAP: 18924\nUAP to YOW: 11933\nUAP to NGO: 11254\nUAP to SLC: 9030\nUAP to LIG: 17497\nUAP to LNK: 10145\nUAP to BGW: 19844\nUAP to MJD: 17795\nLIG to YOW: 6007\nLIG to NGO: 10018\nLIG to SLC: 8730\nLIG to LNK: 7650\nLIG to BGW: 3901\nLIG to MJD: 6513\nLNK to YOW: 1799\nLNK to NGO: 10307\nLNK to SLC: 1306\nLNK to BGW: 11017\nLNK to MJD: 13285\nBGW to YOW: 9444\nBGW to NGO: 8666\nBGW to SLC: 11974\nBGW to MJD: 2854\nNGO to YOW: 11002\nNGO to SLC: 9093\nNGO to MJD: 6617\nMJD to YOW: 11944\nMJD to SLC: 14245\nYOW to SLC: 3042\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44838,
"style": "rule"
}
|
{
"exact_answer": 44838,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"UAP\", \"id\": 1}, {\"name\": \"LIG\", \"id\": 2}, {\"name\": \"LNK\", \"id\": 3}, {\"name\": \"BGW\", \"id\": 4}, {\"name\": \"NGO\", \"id\": 5}, {\"name\": \"MJD\", \"id\": 6}, {\"name\": \"YOW\", \"id\": 7}, {\"name\": \"SLC\", \"id\": 8}], \"links\": [{\"weight\": 8131, \"source\": 0, \"target\": 7}, {\"weight\": 8885, \"source\": 0, \"target\": 5}, {\"weight\": 10417, \"source\": 0, \"target\": 8}, {\"weight\": 2938, \"source\": 0, \"target\": 2}, {\"weight\": 9583, \"source\": 0, \"target\": 3}, {\"weight\": 3033, \"source\": 0, \"target\": 4}, {\"weight\": 5211, \"source\": 0, \"target\": 6}, {\"weight\": 18924, \"source\": 0, \"target\": 1}, {\"weight\": 11933, \"source\": 1, \"target\": 7}, {\"weight\": 11254, \"source\": 1, \"target\": 5}, {\"weight\": 9030, \"source\": 1, \"target\": 8}, {\"weight\": 17497, \"source\": 1, \"target\": 2}, {\"weight\": 10145, \"source\": 1, \"target\": 3}, {\"weight\": 19844, \"source\": 1, \"target\": 4}, {\"weight\": 17795, \"source\": 1, \"target\": 6}, {\"weight\": 6007, \"source\": 2, \"target\": 7}, {\"weight\": 10018, \"source\": 2, \"target\": 5}, {\"weight\": 8730, \"source\": 2, \"target\": 8}, {\"weight\": 7650, \"source\": 2, \"target\": 3}, {\"weight\": 3901, \"source\": 2, \"target\": 4}, {\"weight\": 6513, \"source\": 2, \"target\": 6}, {\"weight\": 1799, \"source\": 3, \"target\": 7}, {\"weight\": 10307, \"source\": 3, \"target\": 5}, {\"weight\": 1306, \"source\": 3, \"target\": 8}, {\"weight\": 11017, \"source\": 3, \"target\": 4}, {\"weight\": 13285, \"source\": 3, \"target\": 6}, {\"weight\": 9444, \"source\": 4, \"target\": 7}, {\"weight\": 8666, \"source\": 4, \"target\": 5}, {\"weight\": 11974, \"source\": 4, \"target\": 8}, {\"weight\": 2854, \"source\": 4, \"target\": 6}, {\"weight\": 11002, \"source\": 5, \"target\": 7}, {\"weight\": 9093, \"source\": 5, \"target\": 8}, {\"weight\": 6617, \"source\": 5, \"target\": 6}, {\"weight\": 11944, \"source\": 6, \"target\": 7}, {\"weight\": 14245, \"source\": 6, \"target\": 8}, {\"weight\": 3042, \"source\": 7, \"target\": 8}]}",
"id": 1207,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, UAP, LIG, LNK, BGW, NGO, MJD, YOW, SLC\n- Travel distances (in kilometers) between each pair of airports:\nUKS to YOW: 8131\nUKS to NGO: 8885\nUKS to SLC: 10417\nUKS to LIG: 2938\nUKS to LNK: 9583\nUKS to BGW: 3033\nUKS to MJD: 5211\nUKS to UAP: 18924\nUAP to YOW: 11933\nUAP to NGO: 11254\nUAP to SLC: 9030\nUAP to LIG: 17497\nUAP to LNK: 10145\nUAP to BGW: 19844\nUAP to MJD: 17795\nLIG to YOW: 6007\nLIG to NGO: 10018\nLIG to SLC: 8730\nLIG to LNK: 7650\nLIG to BGW: 3901\nLIG to MJD: 6513\nLNK to YOW: 1799\nLNK to NGO: 10307\nLNK to SLC: 1306\nLNK to BGW: 11017\nLNK to MJD: 13285\nBGW to YOW: 9444\nBGW to NGO: 8666\nBGW to SLC: 11974\nBGW to MJD: 2854\nNGO to YOW: 11002\nNGO to SLC: 9093\nNGO to MJD: 6617\nMJD to YOW: 11944\nMJD to SLC: 14245\nYOW to SLC: 3042\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OBY, TNG, GOI, SAT, VTZ, XGR, LCG, YEG, ATW\n- Travel distances (in kilometers) between each pair of airports:\nOBY to XGR: 8853\nOBY to TNG: 6562\nOBY to YEG: 7886\nOBY to SAT: 9432\nOBY to GOI: 11747\nOBY to VTZ: 11989\nOBY to ATW: 7954\nOBY to LCG: 5944\nTNG to XGR: 7282\nTNG to YEG: 8518\nTNG to SAT: 8396\nTNG to GOI: 8317\nTNG to VTZ: 9066\nTNG to ATW: 7000\nTNG to LCG: 948\nGOI to XGR: 13361\nGOI to YEG: 13703\nGOI to SAT: 15202\nGOI to VTZ: 1050\nGOI to ATW: 13771\nGOI to LCG: 8245\nSAT to XGR: 4410\nSAT to YEG: 2918\nSAT to VTZ: 15055\nSAT to ATW: 1935\nSAT to LCG: 8462\nVTZ to XGR: 13812\nVTZ to YEG: 13663\nVTZ to ATW: 13636\nVTZ to LCG: 8918\nXGR to YEG: 3558\nXGR to ATW: 2932\nXGR to LCG: 6809\nLCG to YEG: 7893\nLCG to ATW: 7066\nYEG to ATW: 2121\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44784,
"style": "rule"
}
|
{
"exact_answer": 44784,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OBY\", \"id\": 0}, {\"name\": \"TNG\", \"id\": 1}, {\"name\": \"GOI\", \"id\": 2}, {\"name\": \"SAT\", \"id\": 3}, {\"name\": \"VTZ\", \"id\": 4}, {\"name\": \"XGR\", \"id\": 5}, {\"name\": \"LCG\", \"id\": 6}, {\"name\": \"YEG\", \"id\": 7}, {\"name\": \"ATW\", \"id\": 8}], \"links\": [{\"weight\": 8853, \"source\": 0, \"target\": 5}, {\"weight\": 6562, \"source\": 0, \"target\": 1}, {\"weight\": 7886, \"source\": 0, \"target\": 7}, {\"weight\": 9432, \"source\": 0, \"target\": 3}, {\"weight\": 11747, \"source\": 0, \"target\": 2}, {\"weight\": 11989, \"source\": 0, \"target\": 4}, {\"weight\": 7954, \"source\": 0, \"target\": 8}, {\"weight\": 5944, \"source\": 0, \"target\": 6}, {\"weight\": 7282, \"source\": 1, \"target\": 5}, {\"weight\": 8518, \"source\": 1, \"target\": 7}, {\"weight\": 8396, \"source\": 1, \"target\": 3}, {\"weight\": 8317, \"source\": 1, \"target\": 2}, {\"weight\": 9066, \"source\": 1, \"target\": 4}, {\"weight\": 7000, \"source\": 1, \"target\": 8}, {\"weight\": 948, \"source\": 1, \"target\": 6}, {\"weight\": 13361, \"source\": 2, \"target\": 5}, {\"weight\": 13703, \"source\": 2, \"target\": 7}, {\"weight\": 15202, \"source\": 2, \"target\": 3}, {\"weight\": 1050, \"source\": 2, \"target\": 4}, {\"weight\": 13771, \"source\": 2, \"target\": 8}, {\"weight\": 8245, \"source\": 2, \"target\": 6}, {\"weight\": 4410, \"source\": 3, \"target\": 5}, {\"weight\": 2918, \"source\": 3, \"target\": 7}, {\"weight\": 15055, \"source\": 3, \"target\": 4}, {\"weight\": 1935, \"source\": 3, \"target\": 8}, {\"weight\": 8462, \"source\": 3, \"target\": 6}, {\"weight\": 13812, \"source\": 4, \"target\": 5}, {\"weight\": 13663, \"source\": 4, \"target\": 7}, {\"weight\": 13636, \"source\": 4, \"target\": 8}, {\"weight\": 8918, \"source\": 4, \"target\": 6}, {\"weight\": 3558, \"source\": 5, \"target\": 7}, {\"weight\": 2932, \"source\": 5, \"target\": 8}, {\"weight\": 6809, \"source\": 5, \"target\": 6}, {\"weight\": 7893, \"source\": 6, \"target\": 7}, {\"weight\": 7066, \"source\": 6, \"target\": 8}, {\"weight\": 2121, \"source\": 7, \"target\": 8}]}",
"id": 1208,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OBY, TNG, GOI, SAT, VTZ, XGR, LCG, YEG, ATW\n- Travel distances (in kilometers) between each pair of airports:\nOBY to XGR: 8853\nOBY to TNG: 6562\nOBY to YEG: 7886\nOBY to SAT: 9432\nOBY to GOI: 11747\nOBY to VTZ: 11989\nOBY to ATW: 7954\nOBY to LCG: 5944\nTNG to XGR: 7282\nTNG to YEG: 8518\nTNG to SAT: 8396\nTNG to GOI: 8317\nTNG to VTZ: 9066\nTNG to ATW: 7000\nTNG to LCG: 948\nGOI to XGR: 13361\nGOI to YEG: 13703\nGOI to SAT: 15202\nGOI to VTZ: 1050\nGOI to ATW: 13771\nGOI to LCG: 8245\nSAT to XGR: 4410\nSAT to YEG: 2918\nSAT to VTZ: 15055\nSAT to ATW: 1935\nSAT to LCG: 8462\nVTZ to XGR: 13812\nVTZ to YEG: 13663\nVTZ to ATW: 13636\nVTZ to LCG: 8918\nXGR to YEG: 3558\nXGR to ATW: 2932\nXGR to LCG: 6809\nLCG to YEG: 7893\nLCG to ATW: 7066\nYEG to ATW: 2121\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: REU, SFA, BIQ, BKQ, ZCO, PIT, DOY, AXD, MXP\n- Travel distances (in kilometers) between each pair of airports:\nREU to MXP: 1055\nREU to SFA: 1405\nREU to AXD: 2513\nREU to BIQ: 1243\nREU to PIT: 7037\nREU to BKQ: 17089\nREU to DOY: 9307\nREU to ZCO: 12105\nSFA to MXP: 1224\nSFA to AXD: 1875\nSFA to BIQ: 1630\nSFA to PIT: 7771\nSFA to BKQ: 16315\nSFA to DOY: 9242\nSFA to ZCO: 12674\nBIQ to MXP: 863\nBIQ to AXD: 2599\nBIQ to PIT: 6757\nBIQ to BKQ: 16880\nBIQ to DOY: 9210\nBIQ to ZCO: 12678\nBKQ to MXP: 16054\nBKQ to AXD: 15489\nBKQ to PIT: 15799\nBKQ to DOY: 8471\nBKQ to ZCO: 13402\nZCO to MXP: 12487\nZCO to AXD: 14069\nZCO to PIT: 8910\nZCO to DOY: 19984\nPIT to MXP: 6872\nPIT to AXD: 8750\nPIT to DOY: 11251\nDOY to MXP: 8425\nDOY to AXD: 8314\nAXD to MXP: 1887\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51052,
"style": "rule"
}
|
{
"exact_answer": 51052,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"REU\", \"id\": 0}, {\"name\": \"SFA\", \"id\": 1}, {\"name\": \"BIQ\", \"id\": 2}, {\"name\": \"BKQ\", \"id\": 3}, {\"name\": \"ZCO\", \"id\": 4}, {\"name\": \"PIT\", \"id\": 5}, {\"name\": \"DOY\", \"id\": 6}, {\"name\": \"AXD\", \"id\": 7}, {\"name\": \"MXP\", \"id\": 8}], \"links\": [{\"weight\": 1055, \"source\": 0, \"target\": 8}, {\"weight\": 1405, \"source\": 0, \"target\": 1}, {\"weight\": 2513, \"source\": 0, \"target\": 7}, {\"weight\": 1243, \"source\": 0, \"target\": 2}, {\"weight\": 7037, \"source\": 0, \"target\": 5}, {\"weight\": 17089, \"source\": 0, \"target\": 3}, {\"weight\": 9307, \"source\": 0, \"target\": 6}, {\"weight\": 12105, \"source\": 0, \"target\": 4}, {\"weight\": 1224, \"source\": 1, \"target\": 8}, {\"weight\": 1875, \"source\": 1, \"target\": 7}, {\"weight\": 1630, \"source\": 1, \"target\": 2}, {\"weight\": 7771, \"source\": 1, \"target\": 5}, {\"weight\": 16315, \"source\": 1, \"target\": 3}, {\"weight\": 9242, \"source\": 1, \"target\": 6}, {\"weight\": 12674, \"source\": 1, \"target\": 4}, {\"weight\": 863, \"source\": 2, \"target\": 8}, {\"weight\": 2599, \"source\": 2, \"target\": 7}, {\"weight\": 6757, \"source\": 2, \"target\": 5}, {\"weight\": 16880, \"source\": 2, \"target\": 3}, {\"weight\": 9210, \"source\": 2, \"target\": 6}, {\"weight\": 12678, \"source\": 2, \"target\": 4}, {\"weight\": 16054, \"source\": 3, \"target\": 8}, {\"weight\": 15489, \"source\": 3, \"target\": 7}, {\"weight\": 15799, \"source\": 3, \"target\": 5}, {\"weight\": 8471, \"source\": 3, \"target\": 6}, {\"weight\": 13402, \"source\": 3, \"target\": 4}, {\"weight\": 12487, \"source\": 4, \"target\": 8}, {\"weight\": 14069, \"source\": 4, \"target\": 7}, {\"weight\": 8910, \"source\": 4, \"target\": 5}, {\"weight\": 19984, \"source\": 4, \"target\": 6}, {\"weight\": 6872, \"source\": 5, \"target\": 8}, {\"weight\": 8750, \"source\": 5, \"target\": 7}, {\"weight\": 11251, \"source\": 5, \"target\": 6}, {\"weight\": 8425, \"source\": 6, \"target\": 8}, {\"weight\": 8314, \"source\": 6, \"target\": 7}, {\"weight\": 1887, \"source\": 7, \"target\": 8}]}",
"id": 1209,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: REU, SFA, BIQ, BKQ, ZCO, PIT, DOY, AXD, MXP\n- Travel distances (in kilometers) between each pair of airports:\nREU to MXP: 1055\nREU to SFA: 1405\nREU to AXD: 2513\nREU to BIQ: 1243\nREU to PIT: 7037\nREU to BKQ: 17089\nREU to DOY: 9307\nREU to ZCO: 12105\nSFA to MXP: 1224\nSFA to AXD: 1875\nSFA to BIQ: 1630\nSFA to PIT: 7771\nSFA to BKQ: 16315\nSFA to DOY: 9242\nSFA to ZCO: 12674\nBIQ to MXP: 863\nBIQ to AXD: 2599\nBIQ to PIT: 6757\nBIQ to BKQ: 16880\nBIQ to DOY: 9210\nBIQ to ZCO: 12678\nBKQ to MXP: 16054\nBKQ to AXD: 15489\nBKQ to PIT: 15799\nBKQ to DOY: 8471\nBKQ to ZCO: 13402\nZCO to MXP: 12487\nZCO to AXD: 14069\nZCO to PIT: 8910\nZCO to DOY: 19984\nPIT to MXP: 6872\nPIT to AXD: 8750\nPIT to DOY: 11251\nDOY to MXP: 8425\nDOY to AXD: 8314\nAXD to MXP: 1887\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TCT, PDX, ODN, SJK, PYJ, KJA, TAP, CRK, CJU\n- Travel distances (in kilometers) between each pair of airports:\nTCT to CRK: 13617\nTCT to PYJ: 14357\nTCT to KJA: 13884\nTCT to CJU: 11513\nTCT to PDX: 2851\nTCT to SJK: 13811\nTCT to TAP: 7371\nTCT to ODN: 14863\nPDX to CRK: 11125\nPDX to PYJ: 11744\nPDX to KJA: 11392\nPDX to CJU: 9021\nPDX to SJK: 11354\nPDX to TAP: 4520\nPDX to ODN: 12286\nODN to CRK: 2162\nODN to PYJ: 7599\nODN to KJA: 6744\nODN to CJU: 3678\nODN to SJK: 17999\nODN to TAP: 16611\nSJK to CRK: 19098\nSJK to PYJ: 15704\nSJK to KJA: 15069\nSJK to CJU: 18697\nSJK to TAP: 7201\nPYJ to CRK: 6270\nPYJ to KJA: 1841\nPYJ to CJU: 4166\nPYJ to TAP: 14983\nKJA to CRK: 5552\nKJA to CJU: 3647\nKJA to TAP: 13978\nTAP to CRK: 15517\nTAP to CJU: 13412\nCRK to CJU: 2807\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55022,
"style": "rule"
}
|
{
"exact_answer": 55022,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TCT\", \"id\": 0}, {\"name\": \"PDX\", \"id\": 1}, {\"name\": \"ODN\", \"id\": 2}, {\"name\": \"SJK\", \"id\": 3}, {\"name\": \"PYJ\", \"id\": 4}, {\"name\": \"KJA\", \"id\": 5}, {\"name\": \"TAP\", \"id\": 6}, {\"name\": \"CRK\", \"id\": 7}, {\"name\": \"CJU\", \"id\": 8}], \"links\": [{\"weight\": 13617, \"source\": 0, \"target\": 7}, {\"weight\": 14357, \"source\": 0, \"target\": 4}, {\"weight\": 13884, \"source\": 0, \"target\": 5}, {\"weight\": 11513, \"source\": 0, \"target\": 8}, {\"weight\": 2851, \"source\": 0, \"target\": 1}, {\"weight\": 13811, \"source\": 0, \"target\": 3}, {\"weight\": 7371, \"source\": 0, \"target\": 6}, {\"weight\": 14863, \"source\": 0, \"target\": 2}, {\"weight\": 11125, \"source\": 1, \"target\": 7}, {\"weight\": 11744, \"source\": 1, \"target\": 4}, {\"weight\": 11392, \"source\": 1, \"target\": 5}, {\"weight\": 9021, \"source\": 1, \"target\": 8}, {\"weight\": 11354, \"source\": 1, \"target\": 3}, {\"weight\": 4520, \"source\": 1, \"target\": 6}, {\"weight\": 12286, \"source\": 1, \"target\": 2}, {\"weight\": 2162, \"source\": 2, \"target\": 7}, {\"weight\": 7599, \"source\": 2, \"target\": 4}, {\"weight\": 6744, \"source\": 2, \"target\": 5}, {\"weight\": 3678, \"source\": 2, \"target\": 8}, {\"weight\": 17999, \"source\": 2, \"target\": 3}, {\"weight\": 16611, \"source\": 2, \"target\": 6}, {\"weight\": 19098, \"source\": 3, \"target\": 7}, {\"weight\": 15704, \"source\": 3, \"target\": 4}, {\"weight\": 15069, \"source\": 3, \"target\": 5}, {\"weight\": 18697, \"source\": 3, \"target\": 8}, {\"weight\": 7201, \"source\": 3, \"target\": 6}, {\"weight\": 6270, \"source\": 4, \"target\": 7}, {\"weight\": 1841, \"source\": 4, \"target\": 5}, {\"weight\": 4166, \"source\": 4, \"target\": 8}, {\"weight\": 14983, \"source\": 4, \"target\": 6}, {\"weight\": 5552, \"source\": 5, \"target\": 7}, {\"weight\": 3647, \"source\": 5, \"target\": 8}, {\"weight\": 13978, \"source\": 5, \"target\": 6}, {\"weight\": 15517, \"source\": 6, \"target\": 7}, {\"weight\": 13412, \"source\": 6, \"target\": 8}, {\"weight\": 2807, \"source\": 7, \"target\": 8}]}",
"id": 1210,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TCT, PDX, ODN, SJK, PYJ, KJA, TAP, CRK, CJU\n- Travel distances (in kilometers) between each pair of airports:\nTCT to CRK: 13617\nTCT to PYJ: 14357\nTCT to KJA: 13884\nTCT to CJU: 11513\nTCT to PDX: 2851\nTCT to SJK: 13811\nTCT to TAP: 7371\nTCT to ODN: 14863\nPDX to CRK: 11125\nPDX to PYJ: 11744\nPDX to KJA: 11392\nPDX to CJU: 9021\nPDX to SJK: 11354\nPDX to TAP: 4520\nPDX to ODN: 12286\nODN to CRK: 2162\nODN to PYJ: 7599\nODN to KJA: 6744\nODN to CJU: 3678\nODN to SJK: 17999\nODN to TAP: 16611\nSJK to CRK: 19098\nSJK to PYJ: 15704\nSJK to KJA: 15069\nSJK to CJU: 18697\nSJK to TAP: 7201\nPYJ to CRK: 6270\nPYJ to KJA: 1841\nPYJ to CJU: 4166\nPYJ to TAP: 14983\nKJA to CRK: 5552\nKJA to CJU: 3647\nKJA to TAP: 13978\nTAP to CRK: 15517\nTAP to CJU: 13412\nCRK to CJU: 2807\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SML, ZAD, GOP, CWL, MSW, BNX, AKY, ZHY, MIA\n- Travel distances (in kilometers) between each pair of airports:\nSML to ZAD: 8699\nSML to ZHY: 13934\nSML to MIA: 570\nSML to CWL: 7392\nSML to AKY: 16631\nSML to GOP: 14453\nSML to BNX: 8768\nSML to MSW: 12667\nZAD to ZHY: 7565\nZAD to MIA: 8552\nZAD to CWL: 1723\nZAD to AKY: 8690\nZAD to GOP: 6512\nZAD to BNX: 616\nZAD to MSW: 4279\nGOP to ZHY: 3652\nGOP to MIA: 14167\nGOP to CWL: 7584\nGOP to AKY: 3490\nGOP to BNX: 6259\nGOP to MSW: 5045\nCWL to ZHY: 8216\nCWL to MIA: 7130\nCWL to AKY: 9762\nCWL to BNX: 1801\nCWL to MSW: 5600\nMSW to ZHY: 7373\nMSW to MIA: 12334\nMSW to AKY: 6887\nMSW to BNX: 4050\nBNX to ZHY: 7469\nBNX to MIA: 8574\nBNX to AKY: 8437\nAKY to ZHY: 3209\nAKY to MIA: 16229\nZHY to MIA: 13518\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 39613,
"style": "rule"
}
|
{
"exact_answer": 39613,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SML\", \"id\": 0}, {\"name\": \"ZAD\", \"id\": 1}, {\"name\": \"GOP\", \"id\": 2}, {\"name\": \"CWL\", \"id\": 3}, {\"name\": \"MSW\", \"id\": 4}, {\"name\": \"BNX\", \"id\": 5}, {\"name\": \"AKY\", \"id\": 6}, {\"name\": \"ZHY\", \"id\": 7}, {\"name\": \"MIA\", \"id\": 8}], \"links\": [{\"weight\": 8699, \"source\": 0, \"target\": 1}, {\"weight\": 13934, \"source\": 0, \"target\": 7}, {\"weight\": 570, \"source\": 0, \"target\": 8}, {\"weight\": 7392, \"source\": 0, \"target\": 3}, {\"weight\": 16631, \"source\": 0, \"target\": 6}, {\"weight\": 14453, \"source\": 0, \"target\": 2}, {\"weight\": 8768, \"source\": 0, \"target\": 5}, {\"weight\": 12667, \"source\": 0, \"target\": 4}, {\"weight\": 7565, \"source\": 1, \"target\": 7}, {\"weight\": 8552, \"source\": 1, \"target\": 8}, {\"weight\": 1723, \"source\": 1, \"target\": 3}, {\"weight\": 8690, \"source\": 1, \"target\": 6}, {\"weight\": 6512, \"source\": 1, \"target\": 2}, {\"weight\": 616, \"source\": 1, \"target\": 5}, {\"weight\": 4279, \"source\": 1, \"target\": 4}, {\"weight\": 3652, \"source\": 2, \"target\": 7}, {\"weight\": 14167, \"source\": 2, \"target\": 8}, {\"weight\": 7584, \"source\": 2, \"target\": 3}, {\"weight\": 3490, \"source\": 2, \"target\": 6}, {\"weight\": 6259, \"source\": 2, \"target\": 5}, {\"weight\": 5045, \"source\": 2, \"target\": 4}, {\"weight\": 8216, \"source\": 3, \"target\": 7}, {\"weight\": 7130, \"source\": 3, \"target\": 8}, {\"weight\": 9762, \"source\": 3, \"target\": 6}, {\"weight\": 1801, \"source\": 3, \"target\": 5}, {\"weight\": 5600, \"source\": 3, \"target\": 4}, {\"weight\": 7373, \"source\": 4, \"target\": 7}, {\"weight\": 12334, \"source\": 4, \"target\": 8}, {\"weight\": 6887, \"source\": 4, \"target\": 6}, {\"weight\": 4050, \"source\": 4, \"target\": 5}, {\"weight\": 7469, \"source\": 5, \"target\": 7}, {\"weight\": 8574, \"source\": 5, \"target\": 8}, {\"weight\": 8437, \"source\": 5, \"target\": 6}, {\"weight\": 3209, \"source\": 6, \"target\": 7}, {\"weight\": 16229, \"source\": 6, \"target\": 8}, {\"weight\": 13518, \"source\": 7, \"target\": 8}]}",
"id": 1211,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SML, ZAD, GOP, CWL, MSW, BNX, AKY, ZHY, MIA\n- Travel distances (in kilometers) between each pair of airports:\nSML to ZAD: 8699\nSML to ZHY: 13934\nSML to MIA: 570\nSML to CWL: 7392\nSML to AKY: 16631\nSML to GOP: 14453\nSML to BNX: 8768\nSML to MSW: 12667\nZAD to ZHY: 7565\nZAD to MIA: 8552\nZAD to CWL: 1723\nZAD to AKY: 8690\nZAD to GOP: 6512\nZAD to BNX: 616\nZAD to MSW: 4279\nGOP to ZHY: 3652\nGOP to MIA: 14167\nGOP to CWL: 7584\nGOP to AKY: 3490\nGOP to BNX: 6259\nGOP to MSW: 5045\nCWL to ZHY: 8216\nCWL to MIA: 7130\nCWL to AKY: 9762\nCWL to BNX: 1801\nCWL to MSW: 5600\nMSW to ZHY: 7373\nMSW to MIA: 12334\nMSW to AKY: 6887\nMSW to BNX: 4050\nBNX to ZHY: 7469\nBNX to MIA: 8574\nBNX to AKY: 8437\nAKY to ZHY: 3209\nAKY to MIA: 16229\nZHY to MIA: 13518\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACA, AET, SVR, GPB, RJA, CLJ, NAW, KDO, JPR\n- Travel distances (in kilometers) between each pair of airports:\nACA to AET: 6839\nACA to RJA: 16646\nACA to JPR: 7968\nACA to CLJ: 11002\nACA to NAW: 16817\nACA to SVR: 10977\nACA to GPB: 8130\nACA to KDO: 17864\nAET to RJA: 16571\nAET to JPR: 13728\nAET to CLJ: 12074\nAET to NAW: 15575\nAET to SVR: 11818\nAET to GPB: 13979\nAET to KDO: 17561\nSVR to RJA: 12409\nSVR to JPR: 15274\nSVR to CLJ: 6377\nSVR to NAW: 14560\nSVR to GPB: 15038\nSVR to KDO: 13086\nGPB to RJA: 15369\nGPB to JPR: 2367\nGPB to CLJ: 11169\nGPB to NAW: 18468\nGPB to KDO: 15833\nRJA to JPR: 16843\nRJA to CLJ: 6563\nRJA to NAW: 3928\nRJA to KDO: 2192\nCLJ to JPR: 11679\nCLJ to NAW: 9075\nCLJ to KDO: 7001\nNAW to JPR: 19942\nNAW to KDO: 4522\nKDO to JPR: 17383\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66189,
"style": "rule"
}
|
{
"exact_answer": 66189,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACA\", \"id\": 0}, {\"name\": \"AET\", \"id\": 1}, {\"name\": \"SVR\", \"id\": 2}, {\"name\": \"GPB\", \"id\": 3}, {\"name\": \"RJA\", \"id\": 4}, {\"name\": \"CLJ\", \"id\": 5}, {\"name\": \"NAW\", \"id\": 6}, {\"name\": \"KDO\", \"id\": 7}, {\"name\": \"JPR\", \"id\": 8}], \"links\": [{\"weight\": 6839, \"source\": 0, \"target\": 1}, {\"weight\": 16646, \"source\": 0, \"target\": 4}, {\"weight\": 7968, \"source\": 0, \"target\": 8}, {\"weight\": 11002, \"source\": 0, \"target\": 5}, {\"weight\": 16817, \"source\": 0, \"target\": 6}, {\"weight\": 10977, \"source\": 0, \"target\": 2}, {\"weight\": 8130, \"source\": 0, \"target\": 3}, {\"weight\": 17864, \"source\": 0, \"target\": 7}, {\"weight\": 16571, \"source\": 1, \"target\": 4}, {\"weight\": 13728, \"source\": 1, \"target\": 8}, {\"weight\": 12074, \"source\": 1, \"target\": 5}, {\"weight\": 15575, \"source\": 1, \"target\": 6}, {\"weight\": 11818, \"source\": 1, \"target\": 2}, {\"weight\": 13979, \"source\": 1, \"target\": 3}, {\"weight\": 17561, \"source\": 1, \"target\": 7}, {\"weight\": 12409, \"source\": 2, \"target\": 4}, {\"weight\": 15274, \"source\": 2, \"target\": 8}, {\"weight\": 6377, \"source\": 2, \"target\": 5}, {\"weight\": 14560, \"source\": 2, \"target\": 6}, {\"weight\": 15038, \"source\": 2, \"target\": 3}, {\"weight\": 13086, \"source\": 2, \"target\": 7}, {\"weight\": 15369, \"source\": 3, \"target\": 4}, {\"weight\": 2367, \"source\": 3, \"target\": 8}, {\"weight\": 11169, \"source\": 3, \"target\": 5}, {\"weight\": 18468, \"source\": 3, \"target\": 6}, {\"weight\": 15833, \"source\": 3, \"target\": 7}, {\"weight\": 16843, \"source\": 4, \"target\": 8}, {\"weight\": 6563, \"source\": 4, \"target\": 5}, {\"weight\": 3928, \"source\": 4, \"target\": 6}, {\"weight\": 2192, \"source\": 4, \"target\": 7}, {\"weight\": 11679, \"source\": 5, \"target\": 8}, {\"weight\": 9075, \"source\": 5, \"target\": 6}, {\"weight\": 7001, \"source\": 5, \"target\": 7}, {\"weight\": 19942, \"source\": 6, \"target\": 8}, {\"weight\": 4522, \"source\": 6, \"target\": 7}, {\"weight\": 17383, \"source\": 7, \"target\": 8}]}",
"id": 1212,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACA, AET, SVR, GPB, RJA, CLJ, NAW, KDO, JPR\n- Travel distances (in kilometers) between each pair of airports:\nACA to AET: 6839\nACA to RJA: 16646\nACA to JPR: 7968\nACA to CLJ: 11002\nACA to NAW: 16817\nACA to SVR: 10977\nACA to GPB: 8130\nACA to KDO: 17864\nAET to RJA: 16571\nAET to JPR: 13728\nAET to CLJ: 12074\nAET to NAW: 15575\nAET to SVR: 11818\nAET to GPB: 13979\nAET to KDO: 17561\nSVR to RJA: 12409\nSVR to JPR: 15274\nSVR to CLJ: 6377\nSVR to NAW: 14560\nSVR to GPB: 15038\nSVR to KDO: 13086\nGPB to RJA: 15369\nGPB to JPR: 2367\nGPB to CLJ: 11169\nGPB to NAW: 18468\nGPB to KDO: 15833\nRJA to JPR: 16843\nRJA to CLJ: 6563\nRJA to NAW: 3928\nRJA to KDO: 2192\nCLJ to JPR: 11679\nCLJ to NAW: 9075\nCLJ to KDO: 7001\nNAW to JPR: 19942\nNAW to KDO: 4522\nKDO to JPR: 17383\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XAP, LOD, MOB, RNL, SHW, DSN, DUJ, GRO, RIB\n- Travel distances (in kilometers) between each pair of airports:\nXAP to DSN: 17935\nXAP to RIB: 3666\nXAP to MOB: 8445\nXAP to GRO: 9601\nXAP to RNL: 15752\nXAP to LOD: 14504\nXAP to SHW: 12251\nXAP to DUJ: 8991\nLOD to DSN: 9906\nLOD to RIB: 14922\nLOD to MOB: 12975\nLOD to GRO: 18019\nLOD to RNL: 1786\nLOD to SHW: 15399\nLOD to DUJ: 13669\nMOB to DSN: 12376\nMOB to RIB: 7160\nMOB to GRO: 8232\nMOB to RNL: 14068\nMOB to SHW: 12887\nMOB to DUJ: 1625\nRNL to DSN: 8590\nRNL to RIB: 16170\nRNL to GRO: 16703\nRNL to SHW: 14083\nRNL to DUJ: 14762\nSHW to DSN: 7046\nSHW to RIB: 14431\nSHW to GRO: 5044\nSHW to DUJ: 11957\nDSN to RIB: 18770\nDSN to GRO: 8577\nDSN to DUJ: 11606\nDUJ to RIB: 7706\nDUJ to GRO: 7262\nGRO to RIB: 10807\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56683,
"style": "rule"
}
|
{
"exact_answer": 56683,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XAP\", \"id\": 0}, {\"name\": \"LOD\", \"id\": 1}, {\"name\": \"MOB\", \"id\": 2}, {\"name\": \"RNL\", \"id\": 3}, {\"name\": \"SHW\", \"id\": 4}, {\"name\": \"DSN\", \"id\": 5}, {\"name\": \"DUJ\", \"id\": 6}, {\"name\": \"GRO\", \"id\": 7}, {\"name\": \"RIB\", \"id\": 8}], \"links\": [{\"weight\": 17935, \"source\": 0, \"target\": 5}, {\"weight\": 3666, \"source\": 0, \"target\": 8}, {\"weight\": 8445, \"source\": 0, \"target\": 2}, {\"weight\": 9601, \"source\": 0, \"target\": 7}, {\"weight\": 15752, \"source\": 0, \"target\": 3}, {\"weight\": 14504, \"source\": 0, \"target\": 1}, {\"weight\": 12251, \"source\": 0, \"target\": 4}, {\"weight\": 8991, \"source\": 0, \"target\": 6}, {\"weight\": 9906, \"source\": 1, \"target\": 5}, {\"weight\": 14922, \"source\": 1, \"target\": 8}, {\"weight\": 12975, \"source\": 1, \"target\": 2}, {\"weight\": 18019, \"source\": 1, \"target\": 7}, {\"weight\": 1786, \"source\": 1, \"target\": 3}, {\"weight\": 15399, \"source\": 1, \"target\": 4}, {\"weight\": 13669, \"source\": 1, \"target\": 6}, {\"weight\": 12376, \"source\": 2, \"target\": 5}, {\"weight\": 7160, \"source\": 2, \"target\": 8}, {\"weight\": 8232, \"source\": 2, \"target\": 7}, {\"weight\": 14068, \"source\": 2, \"target\": 3}, {\"weight\": 12887, \"source\": 2, \"target\": 4}, {\"weight\": 1625, \"source\": 2, \"target\": 6}, {\"weight\": 8590, \"source\": 3, \"target\": 5}, {\"weight\": 16170, \"source\": 3, \"target\": 8}, {\"weight\": 16703, \"source\": 3, \"target\": 7}, {\"weight\": 14083, \"source\": 3, \"target\": 4}, {\"weight\": 14762, \"source\": 3, \"target\": 6}, {\"weight\": 7046, \"source\": 4, \"target\": 5}, {\"weight\": 14431, \"source\": 4, \"target\": 8}, {\"weight\": 5044, \"source\": 4, \"target\": 7}, {\"weight\": 11957, \"source\": 4, \"target\": 6}, {\"weight\": 18770, \"source\": 5, \"target\": 8}, {\"weight\": 8577, \"source\": 5, \"target\": 7}, {\"weight\": 11606, \"source\": 5, \"target\": 6}, {\"weight\": 7706, \"source\": 6, \"target\": 8}, {\"weight\": 7262, \"source\": 6, \"target\": 7}, {\"weight\": 10807, \"source\": 7, \"target\": 8}]}",
"id": 1213,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XAP, LOD, MOB, RNL, SHW, DSN, DUJ, GRO, RIB\n- Travel distances (in kilometers) between each pair of airports:\nXAP to DSN: 17935\nXAP to RIB: 3666\nXAP to MOB: 8445\nXAP to GRO: 9601\nXAP to RNL: 15752\nXAP to LOD: 14504\nXAP to SHW: 12251\nXAP to DUJ: 8991\nLOD to DSN: 9906\nLOD to RIB: 14922\nLOD to MOB: 12975\nLOD to GRO: 18019\nLOD to RNL: 1786\nLOD to SHW: 15399\nLOD to DUJ: 13669\nMOB to DSN: 12376\nMOB to RIB: 7160\nMOB to GRO: 8232\nMOB to RNL: 14068\nMOB to SHW: 12887\nMOB to DUJ: 1625\nRNL to DSN: 8590\nRNL to RIB: 16170\nRNL to GRO: 16703\nRNL to SHW: 14083\nRNL to DUJ: 14762\nSHW to DSN: 7046\nSHW to RIB: 14431\nSHW to GRO: 5044\nSHW to DUJ: 11957\nDSN to RIB: 18770\nDSN to GRO: 8577\nDSN to DUJ: 11606\nDUJ to RIB: 7706\nDUJ to GRO: 7262\nGRO to RIB: 10807\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LSA, GHE, LFW, UPG, TRR, MBA, YXS, GRO, DAR\n- Travel distances (in kilometers) between each pair of airports:\nLSA to LFW: 17286\nLSA to MBA: 13556\nLSA to GHE: 17921\nLSA to YXS: 13673\nLSA to DAR: 13307\nLSA to UPG: 4722\nLSA to GRO: 15631\nLSA to TRR: 8462\nGHE to LFW: 11710\nGHE to MBA: 15860\nGHE to YXS: 6666\nGHE to DAR: 16056\nGHE to UPG: 19281\nGHE to GRO: 9996\nGHE to TRR: 18332\nLFW to MBA: 4430\nLFW to YXS: 12327\nLFW to DAR: 4499\nLFW to UPG: 13651\nLFW to GRO: 4079\nLFW to TRR: 9285\nUPG to MBA: 10144\nUPG to YXS: 13544\nUPG to DAR: 10188\nUPG to GRO: 12730\nUPG to TRR: 4827\nTRR to MBA: 5735\nTRR to YXS: 14387\nTRR to DAR: 5980\nTRR to GRO: 8657\nMBA to YXS: 14878\nMBA to DAR: 319\nMBA to GRO: 6766\nYXS to DAR: 15152\nYXS to GRO: 8721\nGRO to DAR: 7081\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54516,
"style": "rule"
}
|
{
"exact_answer": 54516,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LSA\", \"id\": 0}, {\"name\": \"GHE\", \"id\": 1}, {\"name\": \"LFW\", \"id\": 2}, {\"name\": \"UPG\", \"id\": 3}, {\"name\": \"TRR\", \"id\": 4}, {\"name\": \"MBA\", \"id\": 5}, {\"name\": \"YXS\", \"id\": 6}, {\"name\": \"GRO\", \"id\": 7}, {\"name\": \"DAR\", \"id\": 8}], \"links\": [{\"weight\": 17286, \"source\": 0, \"target\": 2}, {\"weight\": 13556, \"source\": 0, \"target\": 5}, {\"weight\": 17921, \"source\": 0, \"target\": 1}, {\"weight\": 13673, \"source\": 0, \"target\": 6}, {\"weight\": 13307, \"source\": 0, \"target\": 8}, {\"weight\": 4722, \"source\": 0, \"target\": 3}, {\"weight\": 15631, \"source\": 0, \"target\": 7}, {\"weight\": 8462, \"source\": 0, \"target\": 4}, {\"weight\": 11710, \"source\": 1, \"target\": 2}, {\"weight\": 15860, \"source\": 1, \"target\": 5}, {\"weight\": 6666, \"source\": 1, \"target\": 6}, {\"weight\": 16056, \"source\": 1, \"target\": 8}, {\"weight\": 19281, \"source\": 1, \"target\": 3}, {\"weight\": 9996, \"source\": 1, \"target\": 7}, {\"weight\": 18332, \"source\": 1, \"target\": 4}, {\"weight\": 4430, \"source\": 2, \"target\": 5}, {\"weight\": 12327, \"source\": 2, \"target\": 6}, {\"weight\": 4499, \"source\": 2, \"target\": 8}, {\"weight\": 13651, \"source\": 2, \"target\": 3}, {\"weight\": 4079, \"source\": 2, \"target\": 7}, {\"weight\": 9285, \"source\": 2, \"target\": 4}, {\"weight\": 10144, \"source\": 3, \"target\": 5}, {\"weight\": 13544, \"source\": 3, \"target\": 6}, {\"weight\": 10188, \"source\": 3, \"target\": 8}, {\"weight\": 12730, \"source\": 3, \"target\": 7}, {\"weight\": 4827, \"source\": 3, \"target\": 4}, {\"weight\": 5735, \"source\": 4, \"target\": 5}, {\"weight\": 14387, \"source\": 4, \"target\": 6}, {\"weight\": 5980, \"source\": 4, \"target\": 8}, {\"weight\": 8657, \"source\": 4, \"target\": 7}, {\"weight\": 14878, \"source\": 5, \"target\": 6}, {\"weight\": 319, \"source\": 5, \"target\": 8}, {\"weight\": 6766, \"source\": 5, \"target\": 7}, {\"weight\": 15152, \"source\": 6, \"target\": 8}, {\"weight\": 8721, \"source\": 6, \"target\": 7}, {\"weight\": 7081, \"source\": 7, \"target\": 8}]}",
"id": 1214,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LSA, GHE, LFW, UPG, TRR, MBA, YXS, GRO, DAR\n- Travel distances (in kilometers) between each pair of airports:\nLSA to LFW: 17286\nLSA to MBA: 13556\nLSA to GHE: 17921\nLSA to YXS: 13673\nLSA to DAR: 13307\nLSA to UPG: 4722\nLSA to GRO: 15631\nLSA to TRR: 8462\nGHE to LFW: 11710\nGHE to MBA: 15860\nGHE to YXS: 6666\nGHE to DAR: 16056\nGHE to UPG: 19281\nGHE to GRO: 9996\nGHE to TRR: 18332\nLFW to MBA: 4430\nLFW to YXS: 12327\nLFW to DAR: 4499\nLFW to UPG: 13651\nLFW to GRO: 4079\nLFW to TRR: 9285\nUPG to MBA: 10144\nUPG to YXS: 13544\nUPG to DAR: 10188\nUPG to GRO: 12730\nUPG to TRR: 4827\nTRR to MBA: 5735\nTRR to YXS: 14387\nTRR to DAR: 5980\nTRR to GRO: 8657\nMBA to YXS: 14878\nMBA to DAR: 319\nMBA to GRO: 6766\nYXS to DAR: 15152\nYXS to GRO: 8721\nGRO to DAR: 7081\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACT, SOJ, LUQ, EBJ, OSI, KAL, OKA, RCM, SVU\n- Travel distances (in kilometers) between each pair of airports:\nACT to KAL: 5798\nACT to OKA: 12075\nACT to LUQ: 9481\nACT to EBJ: 8253\nACT to SVU: 11245\nACT to OSI: 9332\nACT to SOJ: 8728\nACT to RCM: 15455\nSOJ to KAL: 11284\nSOJ to OKA: 9540\nSOJ to LUQ: 14238\nSOJ to EBJ: 1746\nSOJ to SVU: 16792\nSOJ to OSI: 2961\nSOJ to RCM: 15159\nLUQ to KAL: 14942\nLUQ to OKA: 20948\nLUQ to EBJ: 12726\nLUQ to SVU: 13844\nLUQ to OSI: 12547\nLUQ to RCM: 15780\nEBJ to KAL: 10809\nEBJ to OKA: 9264\nEBJ to SVU: 16509\nEBJ to OSI: 1534\nEBJ to RCM: 14930\nOSI to KAL: 12133\nOSI to OKA: 9725\nOSI to SVU: 17026\nOSI to RCM: 15048\nKAL to OKA: 12252\nKAL to SVU: 10751\nKAL to RCM: 14917\nOKA to SVU: 9285\nOKA to RCM: 6597\nRCM to SVU: 4884\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62878,
"style": "rule"
}
|
{
"exact_answer": 62878,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACT\", \"id\": 0}, {\"name\": \"SOJ\", \"id\": 1}, {\"name\": \"LUQ\", \"id\": 2}, {\"name\": \"EBJ\", \"id\": 3}, {\"name\": \"OSI\", \"id\": 4}, {\"name\": \"KAL\", \"id\": 5}, {\"name\": \"OKA\", \"id\": 6}, {\"name\": \"RCM\", \"id\": 7}, {\"name\": \"SVU\", \"id\": 8}], \"links\": [{\"weight\": 5798, \"source\": 0, \"target\": 5}, {\"weight\": 12075, \"source\": 0, \"target\": 6}, {\"weight\": 9481, \"source\": 0, \"target\": 2}, {\"weight\": 8253, \"source\": 0, \"target\": 3}, {\"weight\": 11245, \"source\": 0, \"target\": 8}, {\"weight\": 9332, \"source\": 0, \"target\": 4}, {\"weight\": 8728, \"source\": 0, \"target\": 1}, {\"weight\": 15455, \"source\": 0, \"target\": 7}, {\"weight\": 11284, \"source\": 1, \"target\": 5}, {\"weight\": 9540, \"source\": 1, \"target\": 6}, {\"weight\": 14238, \"source\": 1, \"target\": 2}, {\"weight\": 1746, \"source\": 1, \"target\": 3}, {\"weight\": 16792, \"source\": 1, \"target\": 8}, {\"weight\": 2961, \"source\": 1, \"target\": 4}, {\"weight\": 15159, \"source\": 1, \"target\": 7}, {\"weight\": 14942, \"source\": 2, \"target\": 5}, {\"weight\": 20948, \"source\": 2, \"target\": 6}, {\"weight\": 12726, \"source\": 2, \"target\": 3}, {\"weight\": 13844, \"source\": 2, \"target\": 8}, {\"weight\": 12547, \"source\": 2, \"target\": 4}, {\"weight\": 15780, \"source\": 2, \"target\": 7}, {\"weight\": 10809, \"source\": 3, \"target\": 5}, {\"weight\": 9264, \"source\": 3, \"target\": 6}, {\"weight\": 16509, \"source\": 3, \"target\": 8}, {\"weight\": 1534, \"source\": 3, \"target\": 4}, {\"weight\": 14930, \"source\": 3, \"target\": 7}, {\"weight\": 12133, \"source\": 4, \"target\": 5}, {\"weight\": 9725, \"source\": 4, \"target\": 6}, {\"weight\": 17026, \"source\": 4, \"target\": 8}, {\"weight\": 15048, \"source\": 4, \"target\": 7}, {\"weight\": 12252, \"source\": 5, \"target\": 6}, {\"weight\": 10751, \"source\": 5, \"target\": 8}, {\"weight\": 14917, \"source\": 5, \"target\": 7}, {\"weight\": 9285, \"source\": 6, \"target\": 8}, {\"weight\": 6597, \"source\": 6, \"target\": 7}, {\"weight\": 4884, \"source\": 7, \"target\": 8}]}",
"id": 1215,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACT, SOJ, LUQ, EBJ, OSI, KAL, OKA, RCM, SVU\n- Travel distances (in kilometers) between each pair of airports:\nACT to KAL: 5798\nACT to OKA: 12075\nACT to LUQ: 9481\nACT to EBJ: 8253\nACT to SVU: 11245\nACT to OSI: 9332\nACT to SOJ: 8728\nACT to RCM: 15455\nSOJ to KAL: 11284\nSOJ to OKA: 9540\nSOJ to LUQ: 14238\nSOJ to EBJ: 1746\nSOJ to SVU: 16792\nSOJ to OSI: 2961\nSOJ to RCM: 15159\nLUQ to KAL: 14942\nLUQ to OKA: 20948\nLUQ to EBJ: 12726\nLUQ to SVU: 13844\nLUQ to OSI: 12547\nLUQ to RCM: 15780\nEBJ to KAL: 10809\nEBJ to OKA: 9264\nEBJ to SVU: 16509\nEBJ to OSI: 1534\nEBJ to RCM: 14930\nOSI to KAL: 12133\nOSI to OKA: 9725\nOSI to SVU: 17026\nOSI to RCM: 15048\nKAL to OKA: 12252\nKAL to SVU: 10751\nKAL to RCM: 14917\nOKA to SVU: 9285\nOKA to RCM: 6597\nRCM to SVU: 4884\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GZT, WVB, ROB, GYS, LUH, LEQ, KLV, BRE\n- Travel distances (in kilometers) between each pair of airports:\nSJJ to ROB: 5746\nSJJ to BRE: 1270\nSJJ to GZT: 1788\nSJJ to LUH: 5747\nSJJ to GYS: 9008\nSJJ to LEQ: 2087\nSJJ to KLV: 3563\nSJJ to WVB: 8543\nGZT to ROB: 6753\nGZT to BRE: 2879\nGZT to LUH: 4932\nGZT to GYS: 8768\nGZT to LEQ: 3846\nGZT to KLV: 4392\nGZT to WVB: 8417\nWVB to ROB: 5088\nWVB to BRE: 8740\nWVB to LUH: 9203\nWVB to GYS: 13368\nWVB to LEQ: 9121\nWVB to KLV: 11178\nROB to BRE: 5533\nROB to LUH: 9865\nROB to GYS: 14227\nROB to LEQ: 5328\nROB to KLV: 8567\nGYS to BRE: 8870\nGYS to LUH: 5174\nGYS to LEQ: 9933\nGYS to KLV: 8836\nLUH to BRE: 6486\nLUH to LEQ: 7503\nLUH to KLV: 6385\nLEQ to BRE: 1146\nLEQ to KLV: 4150\nKLV to BRE: 3048\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42225,
"style": "rule"
}
|
{
"exact_answer": 42225,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SJJ\", \"id\": 0}, {\"name\": \"GZT\", \"id\": 1}, {\"name\": \"WVB\", \"id\": 2}, {\"name\": \"ROB\", \"id\": 3}, {\"name\": \"GYS\", \"id\": 4}, {\"name\": \"LUH\", \"id\": 5}, {\"name\": \"LEQ\", \"id\": 6}, {\"name\": \"KLV\", \"id\": 7}, {\"name\": \"BRE\", \"id\": 8}], \"links\": [{\"weight\": 5746, \"source\": 0, \"target\": 3}, {\"weight\": 1270, \"source\": 0, \"target\": 8}, {\"weight\": 1788, \"source\": 0, \"target\": 1}, {\"weight\": 5747, \"source\": 0, \"target\": 5}, {\"weight\": 9008, \"source\": 0, \"target\": 4}, {\"weight\": 2087, \"source\": 0, \"target\": 6}, {\"weight\": 3563, \"source\": 0, \"target\": 7}, {\"weight\": 8543, \"source\": 0, \"target\": 2}, {\"weight\": 6753, \"source\": 1, \"target\": 3}, {\"weight\": 2879, \"source\": 1, \"target\": 8}, {\"weight\": 4932, \"source\": 1, \"target\": 5}, {\"weight\": 8768, \"source\": 1, \"target\": 4}, {\"weight\": 3846, \"source\": 1, \"target\": 6}, {\"weight\": 4392, \"source\": 1, \"target\": 7}, {\"weight\": 8417, \"source\": 1, \"target\": 2}, {\"weight\": 5088, \"source\": 2, \"target\": 3}, {\"weight\": 8740, \"source\": 2, \"target\": 8}, {\"weight\": 9203, \"source\": 2, \"target\": 5}, {\"weight\": 13368, \"source\": 2, \"target\": 4}, {\"weight\": 9121, \"source\": 2, \"target\": 6}, {\"weight\": 11178, \"source\": 2, \"target\": 7}, {\"weight\": 5533, \"source\": 3, \"target\": 8}, {\"weight\": 9865, \"source\": 3, \"target\": 5}, {\"weight\": 14227, \"source\": 3, \"target\": 4}, {\"weight\": 5328, \"source\": 3, \"target\": 6}, {\"weight\": 8567, \"source\": 3, \"target\": 7}, {\"weight\": 8870, \"source\": 4, \"target\": 8}, {\"weight\": 5174, \"source\": 4, \"target\": 5}, {\"weight\": 9933, \"source\": 4, \"target\": 6}, {\"weight\": 8836, \"source\": 4, \"target\": 7}, {\"weight\": 6486, \"source\": 5, \"target\": 8}, {\"weight\": 7503, \"source\": 5, \"target\": 6}, {\"weight\": 6385, \"source\": 5, \"target\": 7}, {\"weight\": 1146, \"source\": 6, \"target\": 8}, {\"weight\": 4150, \"source\": 6, \"target\": 7}, {\"weight\": 3048, \"source\": 7, \"target\": 8}]}",
"id": 1216,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GZT, WVB, ROB, GYS, LUH, LEQ, KLV, BRE\n- Travel distances (in kilometers) between each pair of airports:\nSJJ to ROB: 5746\nSJJ to BRE: 1270\nSJJ to GZT: 1788\nSJJ to LUH: 5747\nSJJ to GYS: 9008\nSJJ to LEQ: 2087\nSJJ to KLV: 3563\nSJJ to WVB: 8543\nGZT to ROB: 6753\nGZT to BRE: 2879\nGZT to LUH: 4932\nGZT to GYS: 8768\nGZT to LEQ: 3846\nGZT to KLV: 4392\nGZT to WVB: 8417\nWVB to ROB: 5088\nWVB to BRE: 8740\nWVB to LUH: 9203\nWVB to GYS: 13368\nWVB to LEQ: 9121\nWVB to KLV: 11178\nROB to BRE: 5533\nROB to LUH: 9865\nROB to GYS: 14227\nROB to LEQ: 5328\nROB to KLV: 8567\nGYS to BRE: 8870\nGYS to LUH: 5174\nGYS to LEQ: 9933\nGYS to KLV: 8836\nLUH to BRE: 6486\nLUH to LEQ: 7503\nLUH to KLV: 6385\nLEQ to BRE: 1146\nLEQ to KLV: 4150\nKLV to BRE: 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: EMK, BUZ, YGP, FEN, KMG, FKB, KKH, LUW, GCI\n- Travel distances (in kilometers) between each pair of airports:\nEMK to KMG: 13953\nEMK to FKB: 11511\nEMK to KKH: 370\nEMK to GCI: 11005\nEMK to YGP: 7195\nEMK to FEN: 13616\nEMK to BUZ: 15696\nEMK to LUW: 16873\nBUZ to KMG: 5352\nBUZ to FKB: 4666\nBUZ to KKH: 15606\nBUZ to GCI: 5289\nBUZ to YGP: 10762\nBUZ to FEN: 11937\nBUZ to LUW: 8893\nYGP to KMG: 13966\nYGP to FKB: 7127\nYGP to KKH: 7105\nYGP to GCI: 6236\nYGP to FEN: 8639\nYGP to LUW: 17515\nFEN to KMG: 16313\nFEN to FKB: 7870\nFEN to KKH: 13526\nFEN to GCI: 7742\nFEN to LUW: 20028\nKMG to FKB: 8590\nKMG to KKH: 13863\nKMG to GCI: 9180\nKMG to LUW: 4956\nFKB to KKH: 11421\nFKB to GCI: 991\nFKB to LUW: 12978\nKKH to GCI: 10915\nKKH to LUW: 16783\nLUW to GCI: 13524\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56694,
"style": "rule"
}
|
{
"exact_answer": 56694,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EMK\", \"id\": 0}, {\"name\": \"BUZ\", \"id\": 1}, {\"name\": \"YGP\", \"id\": 2}, {\"name\": \"FEN\", \"id\": 3}, {\"name\": \"KMG\", \"id\": 4}, {\"name\": \"FKB\", \"id\": 5}, {\"name\": \"KKH\", \"id\": 6}, {\"name\": \"LUW\", \"id\": 7}, {\"name\": \"GCI\", \"id\": 8}], \"links\": [{\"weight\": 13953, \"source\": 0, \"target\": 4}, {\"weight\": 11511, \"source\": 0, \"target\": 5}, {\"weight\": 370, \"source\": 0, \"target\": 6}, {\"weight\": 11005, \"source\": 0, \"target\": 8}, {\"weight\": 7195, \"source\": 0, \"target\": 2}, {\"weight\": 13616, \"source\": 0, \"target\": 3}, {\"weight\": 15696, \"source\": 0, \"target\": 1}, {\"weight\": 16873, \"source\": 0, \"target\": 7}, {\"weight\": 5352, \"source\": 1, \"target\": 4}, {\"weight\": 4666, \"source\": 1, \"target\": 5}, {\"weight\": 15606, \"source\": 1, \"target\": 6}, {\"weight\": 5289, \"source\": 1, \"target\": 8}, {\"weight\": 10762, \"source\": 1, \"target\": 2}, {\"weight\": 11937, \"source\": 1, \"target\": 3}, {\"weight\": 8893, \"source\": 1, \"target\": 7}, {\"weight\": 13966, \"source\": 2, \"target\": 4}, {\"weight\": 7127, \"source\": 2, \"target\": 5}, {\"weight\": 7105, \"source\": 2, \"target\": 6}, {\"weight\": 6236, \"source\": 2, \"target\": 8}, {\"weight\": 8639, \"source\": 2, \"target\": 3}, {\"weight\": 17515, \"source\": 2, \"target\": 7}, {\"weight\": 16313, \"source\": 3, \"target\": 4}, {\"weight\": 7870, \"source\": 3, \"target\": 5}, {\"weight\": 13526, \"source\": 3, \"target\": 6}, {\"weight\": 7742, \"source\": 3, \"target\": 8}, {\"weight\": 20028, \"source\": 3, \"target\": 7}, {\"weight\": 8590, \"source\": 4, \"target\": 5}, {\"weight\": 13863, \"source\": 4, \"target\": 6}, {\"weight\": 9180, \"source\": 4, \"target\": 8}, {\"weight\": 4956, \"source\": 4, \"target\": 7}, {\"weight\": 11421, \"source\": 5, \"target\": 6}, {\"weight\": 991, \"source\": 5, \"target\": 8}, {\"weight\": 12978, \"source\": 5, \"target\": 7}, {\"weight\": 10915, \"source\": 6, \"target\": 8}, {\"weight\": 16783, \"source\": 6, \"target\": 7}, {\"weight\": 13524, \"source\": 7, \"target\": 8}]}",
"id": 1217,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, BUZ, YGP, FEN, KMG, FKB, KKH, LUW, GCI\n- Travel distances (in kilometers) between each pair of airports:\nEMK to KMG: 13953\nEMK to FKB: 11511\nEMK to KKH: 370\nEMK to GCI: 11005\nEMK to YGP: 7195\nEMK to FEN: 13616\nEMK to BUZ: 15696\nEMK to LUW: 16873\nBUZ to KMG: 5352\nBUZ to FKB: 4666\nBUZ to KKH: 15606\nBUZ to GCI: 5289\nBUZ to YGP: 10762\nBUZ to FEN: 11937\nBUZ to LUW: 8893\nYGP to KMG: 13966\nYGP to FKB: 7127\nYGP to KKH: 7105\nYGP to GCI: 6236\nYGP to FEN: 8639\nYGP to LUW: 17515\nFEN to KMG: 16313\nFEN to FKB: 7870\nFEN to KKH: 13526\nFEN to GCI: 7742\nFEN to LUW: 20028\nKMG to FKB: 8590\nKMG to KKH: 13863\nKMG to GCI: 9180\nKMG to LUW: 4956\nFKB to KKH: 11421\nFKB to GCI: 991\nFKB to LUW: 12978\nKKH to GCI: 10915\nKKH to LUW: 16783\nLUW to GCI: 13524\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CMN, CTU, CRL, TAG, BNS, ANI, PBJ, BIL, IXE\n- Travel distances (in kilometers) between each pair of airports:\nCMN to CTU: 10040\nCMN to TAG: 13023\nCMN to ANI: 11751\nCMN to BIL: 8398\nCMN to BNS: 7030\nCMN to IXE: 8529\nCMN to CRL: 2139\nCMN to PBJ: 19150\nCTU to TAG: 3115\nCTU to ANI: 13070\nCTU to BIL: 11300\nCTU to BNS: 16289\nCTU to IXE: 3977\nCTU to CRL: 8055\nCTU to PBJ: 9243\nCRL to TAG: 11155\nCRL to ANI: 10831\nCRL to BIL: 8351\nCRL to BNS: 8457\nCRL to IXE: 7596\nCRL to PBJ: 17283\nTAG to ANI: 14125\nTAG to BIL: 12391\nTAG to BNS: 18138\nTAG to IXE: 5604\nTAG to PBJ: 7378\nBNS to ANI: 9544\nBNS to BIL: 6089\nBNS to IXE: 15513\nBNS to PBJ: 16265\nANI to BIL: 3900\nANI to IXE: 16973\nANI to PBJ: 11196\nPBJ to BIL: 11490\nPBJ to IXE: 11236\nBIL to IXE: 15203\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52420,
"style": "rule"
}
|
{
"exact_answer": 52420,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CMN\", \"id\": 0}, {\"name\": \"CTU\", \"id\": 1}, {\"name\": \"CRL\", \"id\": 2}, {\"name\": \"TAG\", \"id\": 3}, {\"name\": \"BNS\", \"id\": 4}, {\"name\": \"ANI\", \"id\": 5}, {\"name\": \"PBJ\", \"id\": 6}, {\"name\": \"BIL\", \"id\": 7}, {\"name\": \"IXE\", \"id\": 8}], \"links\": [{\"weight\": 10040, \"source\": 0, \"target\": 1}, {\"weight\": 13023, \"source\": 0, \"target\": 3}, {\"weight\": 11751, \"source\": 0, \"target\": 5}, {\"weight\": 8398, \"source\": 0, \"target\": 7}, {\"weight\": 7030, \"source\": 0, \"target\": 4}, {\"weight\": 8529, \"source\": 0, \"target\": 8}, {\"weight\": 2139, \"source\": 0, \"target\": 2}, {\"weight\": 19150, \"source\": 0, \"target\": 6}, {\"weight\": 3115, \"source\": 1, \"target\": 3}, {\"weight\": 13070, \"source\": 1, \"target\": 5}, {\"weight\": 11300, \"source\": 1, \"target\": 7}, {\"weight\": 16289, \"source\": 1, \"target\": 4}, {\"weight\": 3977, \"source\": 1, \"target\": 8}, {\"weight\": 8055, \"source\": 1, \"target\": 2}, {\"weight\": 9243, \"source\": 1, \"target\": 6}, {\"weight\": 11155, \"source\": 2, \"target\": 3}, {\"weight\": 10831, \"source\": 2, \"target\": 5}, {\"weight\": 8351, \"source\": 2, \"target\": 7}, {\"weight\": 8457, \"source\": 2, \"target\": 4}, {\"weight\": 7596, \"source\": 2, \"target\": 8}, {\"weight\": 17283, \"source\": 2, \"target\": 6}, {\"weight\": 14125, \"source\": 3, \"target\": 5}, {\"weight\": 12391, \"source\": 3, \"target\": 7}, {\"weight\": 18138, \"source\": 3, \"target\": 4}, {\"weight\": 5604, \"source\": 3, \"target\": 8}, {\"weight\": 7378, \"source\": 3, \"target\": 6}, {\"weight\": 9544, \"source\": 4, \"target\": 5}, {\"weight\": 6089, \"source\": 4, \"target\": 7}, {\"weight\": 15513, \"source\": 4, \"target\": 8}, {\"weight\": 16265, \"source\": 4, \"target\": 6}, {\"weight\": 3900, \"source\": 5, \"target\": 7}, {\"weight\": 16973, \"source\": 5, \"target\": 8}, {\"weight\": 11196, \"source\": 5, \"target\": 6}, {\"weight\": 11490, \"source\": 6, \"target\": 7}, {\"weight\": 11236, \"source\": 6, \"target\": 8}, {\"weight\": 15203, \"source\": 7, \"target\": 8}]}",
"id": 1218,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CMN, CTU, CRL, TAG, BNS, ANI, PBJ, BIL, IXE\n- Travel distances (in kilometers) between each pair of airports:\nCMN to CTU: 10040\nCMN to TAG: 13023\nCMN to ANI: 11751\nCMN to BIL: 8398\nCMN to BNS: 7030\nCMN to IXE: 8529\nCMN to CRL: 2139\nCMN to PBJ: 19150\nCTU to TAG: 3115\nCTU to ANI: 13070\nCTU to BIL: 11300\nCTU to BNS: 16289\nCTU to IXE: 3977\nCTU to CRL: 8055\nCTU to PBJ: 9243\nCRL to TAG: 11155\nCRL to ANI: 10831\nCRL to BIL: 8351\nCRL to BNS: 8457\nCRL to IXE: 7596\nCRL to PBJ: 17283\nTAG to ANI: 14125\nTAG to BIL: 12391\nTAG to BNS: 18138\nTAG to IXE: 5604\nTAG to PBJ: 7378\nBNS to ANI: 9544\nBNS to BIL: 6089\nBNS to IXE: 15513\nBNS to PBJ: 16265\nANI to BIL: 3900\nANI to IXE: 16973\nANI to PBJ: 11196\nPBJ to BIL: 11490\nPBJ to IXE: 11236\nBIL to IXE: 15203\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAH, VER, JAI, MAB, AOS, MOB, PSC, MYW, TBB\n- Travel distances (in kilometers) between each pair of airports:\nIAH to VER: 1208\nIAH to MOB: 685\nIAH to AOS: 5741\nIAH to JAI: 13743\nIAH to MAB: 6521\nIAH to PSC: 2756\nIAH to MYW: 15134\nIAH to TBB: 14871\nVER to AOS: 6865\nVER to JAI: 14951\nVER to MOB: 1893\nVER to MAB: 6561\nVER to PSC: 3850\nVER to MYW: 16236\nVER to TBB: 16005\nJAI to AOS: 15535\nJAI to MOB: 13508\nJAI to MAB: 14382\nJAI to PSC: 12994\nJAI to MYW: 6167\nJAI to TBB: 4086\nMAB to AOS: 11761\nMAB to MOB: 6359\nMAB to PSC: 9125\nMAB to MYW: 11732\nMAB to TBB: 18237\nAOS to MOB: 6252\nAOS to PSC: 3091\nAOS to MYW: 18395\nAOS to TBB: 14810\nMOB to PSC: 3267\nMOB to MYW: 14546\nMOB to TBB: 15132\nPSC to MYW: 15854\nPSC to TBB: 12269\nMYW to TBB: 9387\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51607,
"style": "rule"
}
|
{
"exact_answer": 51607,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAH\", \"id\": 0}, {\"name\": \"VER\", \"id\": 1}, {\"name\": \"JAI\", \"id\": 2}, {\"name\": \"MAB\", \"id\": 3}, {\"name\": \"AOS\", \"id\": 4}, {\"name\": \"MOB\", \"id\": 5}, {\"name\": \"PSC\", \"id\": 6}, {\"name\": \"MYW\", \"id\": 7}, {\"name\": \"TBB\", \"id\": 8}], \"links\": [{\"weight\": 1208, \"source\": 0, \"target\": 1}, {\"weight\": 685, \"source\": 0, \"target\": 5}, {\"weight\": 5741, \"source\": 0, \"target\": 4}, {\"weight\": 13743, \"source\": 0, \"target\": 2}, {\"weight\": 6521, \"source\": 0, \"target\": 3}, {\"weight\": 2756, \"source\": 0, \"target\": 6}, {\"weight\": 15134, \"source\": 0, \"target\": 7}, {\"weight\": 14871, \"source\": 0, \"target\": 8}, {\"weight\": 6865, \"source\": 1, \"target\": 4}, {\"weight\": 14951, \"source\": 1, \"target\": 2}, {\"weight\": 1893, \"source\": 1, \"target\": 5}, {\"weight\": 6561, \"source\": 1, \"target\": 3}, {\"weight\": 3850, \"source\": 1, \"target\": 6}, {\"weight\": 16236, \"source\": 1, \"target\": 7}, {\"weight\": 16005, \"source\": 1, \"target\": 8}, {\"weight\": 15535, \"source\": 2, \"target\": 4}, {\"weight\": 13508, \"source\": 2, \"target\": 5}, {\"weight\": 14382, \"source\": 2, \"target\": 3}, {\"weight\": 12994, \"source\": 2, \"target\": 6}, {\"weight\": 6167, \"source\": 2, \"target\": 7}, {\"weight\": 4086, \"source\": 2, \"target\": 8}, {\"weight\": 11761, \"source\": 3, \"target\": 4}, {\"weight\": 6359, \"source\": 3, \"target\": 5}, {\"weight\": 9125, \"source\": 3, \"target\": 6}, {\"weight\": 11732, \"source\": 3, \"target\": 7}, {\"weight\": 18237, \"source\": 3, \"target\": 8}, {\"weight\": 6252, \"source\": 4, \"target\": 5}, {\"weight\": 3091, \"source\": 4, \"target\": 6}, {\"weight\": 18395, \"source\": 4, \"target\": 7}, {\"weight\": 14810, \"source\": 4, \"target\": 8}, {\"weight\": 3267, \"source\": 5, \"target\": 6}, {\"weight\": 14546, \"source\": 5, \"target\": 7}, {\"weight\": 15132, \"source\": 5, \"target\": 8}, {\"weight\": 15854, \"source\": 6, \"target\": 7}, {\"weight\": 12269, \"source\": 6, \"target\": 8}, {\"weight\": 9387, \"source\": 7, \"target\": 8}]}",
"id": 1219,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAH, VER, JAI, MAB, AOS, MOB, PSC, MYW, TBB\n- Travel distances (in kilometers) between each pair of airports:\nIAH to VER: 1208\nIAH to MOB: 685\nIAH to AOS: 5741\nIAH to JAI: 13743\nIAH to MAB: 6521\nIAH to PSC: 2756\nIAH to MYW: 15134\nIAH to TBB: 14871\nVER to AOS: 6865\nVER to JAI: 14951\nVER to MOB: 1893\nVER to MAB: 6561\nVER to PSC: 3850\nVER to MYW: 16236\nVER to TBB: 16005\nJAI to AOS: 15535\nJAI to MOB: 13508\nJAI to MAB: 14382\nJAI to PSC: 12994\nJAI to MYW: 6167\nJAI to TBB: 4086\nMAB to AOS: 11761\nMAB to MOB: 6359\nMAB to PSC: 9125\nMAB to MYW: 11732\nMAB to TBB: 18237\nAOS to MOB: 6252\nAOS to PSC: 3091\nAOS to MYW: 18395\nAOS to TBB: 14810\nMOB to PSC: 3267\nMOB to MYW: 14546\nMOB to TBB: 15132\nPSC to MYW: 15854\nPSC to TBB: 12269\nMYW to TBB: 9387\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYQ, AMA, ATL, MOB, EOH, JJN, TNA, LMM, FNC\n- Travel distances (in kilometers) between each pair of airports:\nSYQ to ATL: 2732\nSYQ to TNA: 14468\nSYQ to JJN: 15492\nSYQ to EOH: 1641\nSYQ to AMA: 3383\nSYQ to MOB: 3217\nSYQ to FNC: 7906\nSYQ to LMM: 3161\nAMA to ATL: 1675\nAMA to TNA: 11126\nAMA to JJN: 12156\nAMA to EOH: 4466\nAMA to MOB: 1367\nAMA to FNC: 7619\nAMA to LMM: 2310\nATL to MOB: 485\nATL to TNA: 11899\nATL to JJN: 13082\nATL to EOH: 3557\nATL to FNC: 6348\nATL to LMM: 2832\nMOB to TNA: 12178\nMOB to JJN: 13361\nMOB to EOH: 4042\nMOB to FNC: 6833\nMOB to LMM: 2433\nEOH to TNA: 15454\nEOH to JJN: 16569\nEOH to FNC: 6932\nEOH to LMM: 4428\nJJN to TNA: 1424\nJJN to FNC: 12078\nJJN to LMM: 12472\nTNA to FNC: 10968\nTNA to LMM: 11655\nLMM to FNC: 9143\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 40331,
"style": "rule"
}
|
{
"exact_answer": 40331,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SYQ\", \"id\": 0}, {\"name\": \"AMA\", \"id\": 1}, {\"name\": \"ATL\", \"id\": 2}, {\"name\": \"MOB\", \"id\": 3}, {\"name\": \"EOH\", \"id\": 4}, {\"name\": \"JJN\", \"id\": 5}, {\"name\": \"TNA\", \"id\": 6}, {\"name\": \"LMM\", \"id\": 7}, {\"name\": \"FNC\", \"id\": 8}], \"links\": [{\"weight\": 2732, \"source\": 0, \"target\": 2}, {\"weight\": 14468, \"source\": 0, \"target\": 6}, {\"weight\": 15492, \"source\": 0, \"target\": 5}, {\"weight\": 1641, \"source\": 0, \"target\": 4}, {\"weight\": 3383, \"source\": 0, \"target\": 1}, {\"weight\": 3217, \"source\": 0, \"target\": 3}, {\"weight\": 7906, \"source\": 0, \"target\": 8}, {\"weight\": 3161, \"source\": 0, \"target\": 7}, {\"weight\": 1675, \"source\": 1, \"target\": 2}, {\"weight\": 11126, \"source\": 1, \"target\": 6}, {\"weight\": 12156, \"source\": 1, \"target\": 5}, {\"weight\": 4466, \"source\": 1, \"target\": 4}, {\"weight\": 1367, \"source\": 1, \"target\": 3}, {\"weight\": 7619, \"source\": 1, \"target\": 8}, {\"weight\": 2310, \"source\": 1, \"target\": 7}, {\"weight\": 485, \"source\": 2, \"target\": 3}, {\"weight\": 11899, \"source\": 2, \"target\": 6}, {\"weight\": 13082, \"source\": 2, \"target\": 5}, {\"weight\": 3557, \"source\": 2, \"target\": 4}, {\"weight\": 6348, \"source\": 2, \"target\": 8}, {\"weight\": 2832, \"source\": 2, \"target\": 7}, {\"weight\": 12178, \"source\": 3, \"target\": 6}, {\"weight\": 13361, \"source\": 3, \"target\": 5}, {\"weight\": 4042, \"source\": 3, \"target\": 4}, {\"weight\": 6833, \"source\": 3, \"target\": 8}, {\"weight\": 2433, \"source\": 3, \"target\": 7}, {\"weight\": 15454, \"source\": 4, \"target\": 6}, {\"weight\": 16569, \"source\": 4, \"target\": 5}, {\"weight\": 6932, \"source\": 4, \"target\": 8}, {\"weight\": 4428, \"source\": 4, \"target\": 7}, {\"weight\": 1424, \"source\": 5, \"target\": 6}, {\"weight\": 12078, \"source\": 5, \"target\": 8}, {\"weight\": 12472, \"source\": 5, \"target\": 7}, {\"weight\": 10968, \"source\": 6, \"target\": 8}, {\"weight\": 11655, \"source\": 6, \"target\": 7}, {\"weight\": 9143, \"source\": 7, \"target\": 8}]}",
"id": 1220,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYQ, AMA, ATL, MOB, EOH, JJN, TNA, LMM, FNC\n- Travel distances (in kilometers) between each pair of airports:\nSYQ to ATL: 2732\nSYQ to TNA: 14468\nSYQ to JJN: 15492\nSYQ to EOH: 1641\nSYQ to AMA: 3383\nSYQ to MOB: 3217\nSYQ to FNC: 7906\nSYQ to LMM: 3161\nAMA to ATL: 1675\nAMA to TNA: 11126\nAMA to JJN: 12156\nAMA to EOH: 4466\nAMA to MOB: 1367\nAMA to FNC: 7619\nAMA to LMM: 2310\nATL to MOB: 485\nATL to TNA: 11899\nATL to JJN: 13082\nATL to EOH: 3557\nATL to FNC: 6348\nATL to LMM: 2832\nMOB to TNA: 12178\nMOB to JJN: 13361\nMOB to EOH: 4042\nMOB to FNC: 6833\nMOB to LMM: 2433\nEOH to TNA: 15454\nEOH to JJN: 16569\nEOH to FNC: 6932\nEOH to LMM: 4428\nJJN to TNA: 1424\nJJN to FNC: 12078\nJJN to LMM: 12472\nTNA to FNC: 10968\nTNA to LMM: 11655\nLMM to FNC: 9143\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTI, GCK, NYK, GRJ, ESM, JPR, NUP, COQ, SAP\n- Travel distances (in kilometers) between each pair of airports:\nHTI to NUP: 13587\nHTI to SAP: 16158\nHTI to GCK: 14903\nHTI to JPR: 17346\nHTI to COQ: 8805\nHTI to ESM: 16783\nHTI to NYK: 13234\nHTI to GRJ: 13294\nGCK to NUP: 6219\nGCK to SAP: 2796\nGCK to JPR: 9050\nGCK to COQ: 13030\nGCK to ESM: 4984\nGCK to NYK: 15508\nGCK to GRJ: 16376\nNYK to NUP: 18116\nNYK to SAP: 15489\nNYK to JPR: 11947\nNYK to COQ: 9503\nNYK to ESM: 14393\nNYK to GRJ: 4303\nGRJ to NUP: 19881\nGRJ to SAP: 14732\nGRJ to JPR: 10625\nGRJ to COQ: 13230\nGRJ to ESM: 12975\nESM to NUP: 9895\nESM to SAP: 2324\nESM to JPR: 6408\nESM to COQ: 16701\nJPR to NUP: 13729\nJPR to SAP: 6418\nJPR to COQ: 18103\nNUP to SAP: 7707\nNUP to COQ: 12762\nCOQ to SAP: 14513\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64570,
"style": "rule"
}
|
{
"exact_answer": 64570,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTI\", \"id\": 0}, {\"name\": \"GCK\", \"id\": 1}, {\"name\": \"NYK\", \"id\": 2}, {\"name\": \"GRJ\", \"id\": 3}, {\"name\": \"ESM\", \"id\": 4}, {\"name\": \"JPR\", \"id\": 5}, {\"name\": \"NUP\", \"id\": 6}, {\"name\": \"COQ\", \"id\": 7}, {\"name\": \"SAP\", \"id\": 8}], \"links\": [{\"weight\": 13587, \"source\": 0, \"target\": 6}, {\"weight\": 16158, \"source\": 0, \"target\": 8}, {\"weight\": 14903, \"source\": 0, \"target\": 1}, {\"weight\": 17346, \"source\": 0, \"target\": 5}, {\"weight\": 8805, \"source\": 0, \"target\": 7}, {\"weight\": 16783, \"source\": 0, \"target\": 4}, {\"weight\": 13234, \"source\": 0, \"target\": 2}, {\"weight\": 13294, \"source\": 0, \"target\": 3}, {\"weight\": 6219, \"source\": 1, \"target\": 6}, {\"weight\": 2796, \"source\": 1, \"target\": 8}, {\"weight\": 9050, \"source\": 1, \"target\": 5}, {\"weight\": 13030, \"source\": 1, \"target\": 7}, {\"weight\": 4984, \"source\": 1, \"target\": 4}, {\"weight\": 15508, \"source\": 1, \"target\": 2}, {\"weight\": 16376, \"source\": 1, \"target\": 3}, {\"weight\": 18116, \"source\": 2, \"target\": 6}, {\"weight\": 15489, \"source\": 2, \"target\": 8}, {\"weight\": 11947, \"source\": 2, \"target\": 5}, {\"weight\": 9503, \"source\": 2, \"target\": 7}, {\"weight\": 14393, \"source\": 2, \"target\": 4}, {\"weight\": 4303, \"source\": 2, \"target\": 3}, {\"weight\": 19881, \"source\": 3, \"target\": 6}, {\"weight\": 14732, \"source\": 3, \"target\": 8}, {\"weight\": 10625, \"source\": 3, \"target\": 5}, {\"weight\": 13230, \"source\": 3, \"target\": 7}, {\"weight\": 12975, \"source\": 3, \"target\": 4}, {\"weight\": 9895, \"source\": 4, \"target\": 6}, {\"weight\": 2324, \"source\": 4, \"target\": 8}, {\"weight\": 6408, \"source\": 4, \"target\": 5}, {\"weight\": 16701, \"source\": 4, \"target\": 7}, {\"weight\": 13729, \"source\": 5, \"target\": 6}, {\"weight\": 6418, \"source\": 5, \"target\": 8}, {\"weight\": 18103, \"source\": 5, \"target\": 7}, {\"weight\": 7707, \"source\": 6, \"target\": 8}, {\"weight\": 12762, \"source\": 6, \"target\": 7}, {\"weight\": 14513, \"source\": 7, \"target\": 8}]}",
"id": 1221,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTI, GCK, NYK, GRJ, ESM, JPR, NUP, COQ, SAP\n- Travel distances (in kilometers) between each pair of airports:\nHTI to NUP: 13587\nHTI to SAP: 16158\nHTI to GCK: 14903\nHTI to JPR: 17346\nHTI to COQ: 8805\nHTI to ESM: 16783\nHTI to NYK: 13234\nHTI to GRJ: 13294\nGCK to NUP: 6219\nGCK to SAP: 2796\nGCK to JPR: 9050\nGCK to COQ: 13030\nGCK to ESM: 4984\nGCK to NYK: 15508\nGCK to GRJ: 16376\nNYK to NUP: 18116\nNYK to SAP: 15489\nNYK to JPR: 11947\nNYK to COQ: 9503\nNYK to ESM: 14393\nNYK to GRJ: 4303\nGRJ to NUP: 19881\nGRJ to SAP: 14732\nGRJ to JPR: 10625\nGRJ to COQ: 13230\nGRJ to ESM: 12975\nESM to NUP: 9895\nESM to SAP: 2324\nESM to JPR: 6408\nESM to COQ: 16701\nJPR to NUP: 13729\nJPR to SAP: 6418\nJPR to COQ: 18103\nNUP to SAP: 7707\nNUP to COQ: 12762\nCOQ to SAP: 14513\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NIQ, UYL, TYN, UET, APL, KHG, CRI, BWA, KWF\n- Travel distances (in kilometers) between each pair of airports:\nNIQ to TYN: 11400\nNIQ to KHG: 10265\nNIQ to UET: 9603\nNIQ to UYL: 9658\nNIQ to APL: 12228\nNIQ to CRI: 8528\nNIQ to BWA: 10778\nNIQ to KWF: 9218\nUYL to TYN: 9165\nUYL to KHG: 8016\nUYL to UET: 4777\nUYL to APL: 4403\nUYL to CRI: 13456\nUYL to BWA: 6686\nUYL to KWF: 14831\nTYN to KHG: 3279\nTYN to UET: 4592\nTYN to APL: 10475\nTYN to CRI: 13480\nTYN to BWA: 2989\nTYN to KWF: 10296\nUET to KHG: 3443\nUET to APL: 6091\nUET to CRI: 13566\nUET to BWA: 2151\nUET to KWF: 14454\nAPL to KHG: 9508\nAPL to CRI: 15791\nAPL to BWA: 7870\nAPL to KWF: 17255\nKHG to CRI: 14419\nKHG to BWA: 2718\nKHG to KWF: 13362\nCRI to BWA: 14948\nCRI to KWF: 6248\nBWA to KWF: 13253\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53372,
"style": "rule"
}
|
{
"exact_answer": 53372,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NIQ\", \"id\": 0}, {\"name\": \"UYL\", \"id\": 1}, {\"name\": \"TYN\", \"id\": 2}, {\"name\": \"UET\", \"id\": 3}, {\"name\": \"APL\", \"id\": 4}, {\"name\": \"KHG\", \"id\": 5}, {\"name\": \"CRI\", \"id\": 6}, {\"name\": \"BWA\", \"id\": 7}, {\"name\": \"KWF\", \"id\": 8}], \"links\": [{\"weight\": 11400, \"source\": 0, \"target\": 2}, {\"weight\": 10265, \"source\": 0, \"target\": 5}, {\"weight\": 9603, \"source\": 0, \"target\": 3}, {\"weight\": 9658, \"source\": 0, \"target\": 1}, {\"weight\": 12228, \"source\": 0, \"target\": 4}, {\"weight\": 8528, \"source\": 0, \"target\": 6}, {\"weight\": 10778, \"source\": 0, \"target\": 7}, {\"weight\": 9218, \"source\": 0, \"target\": 8}, {\"weight\": 9165, \"source\": 1, \"target\": 2}, {\"weight\": 8016, \"source\": 1, \"target\": 5}, {\"weight\": 4777, \"source\": 1, \"target\": 3}, {\"weight\": 4403, \"source\": 1, \"target\": 4}, {\"weight\": 13456, \"source\": 1, \"target\": 6}, {\"weight\": 6686, \"source\": 1, \"target\": 7}, {\"weight\": 14831, \"source\": 1, \"target\": 8}, {\"weight\": 3279, \"source\": 2, \"target\": 5}, {\"weight\": 4592, \"source\": 2, \"target\": 3}, {\"weight\": 10475, \"source\": 2, \"target\": 4}, {\"weight\": 13480, \"source\": 2, \"target\": 6}, {\"weight\": 2989, \"source\": 2, \"target\": 7}, {\"weight\": 10296, \"source\": 2, \"target\": 8}, {\"weight\": 3443, \"source\": 3, \"target\": 5}, {\"weight\": 6091, \"source\": 3, \"target\": 4}, {\"weight\": 13566, \"source\": 3, \"target\": 6}, {\"weight\": 2151, \"source\": 3, \"target\": 7}, {\"weight\": 14454, \"source\": 3, \"target\": 8}, {\"weight\": 9508, \"source\": 4, \"target\": 5}, {\"weight\": 15791, \"source\": 4, \"target\": 6}, {\"weight\": 7870, \"source\": 4, \"target\": 7}, {\"weight\": 17255, \"source\": 4, \"target\": 8}, {\"weight\": 14419, \"source\": 5, \"target\": 6}, {\"weight\": 2718, \"source\": 5, \"target\": 7}, {\"weight\": 13362, \"source\": 5, \"target\": 8}, {\"weight\": 14948, \"source\": 6, \"target\": 7}, {\"weight\": 6248, \"source\": 6, \"target\": 8}, {\"weight\": 13253, \"source\": 7, \"target\": 8}]}",
"id": 1222,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NIQ, UYL, TYN, UET, APL, KHG, CRI, BWA, KWF\n- Travel distances (in kilometers) between each pair of airports:\nNIQ to TYN: 11400\nNIQ to KHG: 10265\nNIQ to UET: 9603\nNIQ to UYL: 9658\nNIQ to APL: 12228\nNIQ to CRI: 8528\nNIQ to BWA: 10778\nNIQ to KWF: 9218\nUYL to TYN: 9165\nUYL to KHG: 8016\nUYL to UET: 4777\nUYL to APL: 4403\nUYL to CRI: 13456\nUYL to BWA: 6686\nUYL to KWF: 14831\nTYN to KHG: 3279\nTYN to UET: 4592\nTYN to APL: 10475\nTYN to CRI: 13480\nTYN to BWA: 2989\nTYN to KWF: 10296\nUET to KHG: 3443\nUET to APL: 6091\nUET to CRI: 13566\nUET to BWA: 2151\nUET to KWF: 14454\nAPL to KHG: 9508\nAPL to CRI: 15791\nAPL to BWA: 7870\nAPL to KWF: 17255\nKHG to CRI: 14419\nKHG to BWA: 2718\nKHG to KWF: 13362\nCRI to BWA: 14948\nCRI to KWF: 6248\nBWA to KWF: 13253\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOH, STI, LNE, SXK, ENE, GCK, WLH, KFP, SVK\n- Travel distances (in kilometers) between each pair of airports:\nBOH to GCK: 8257\nBOH to STI: 7775\nBOH to ENE: 13834\nBOH to KFP: 11254\nBOH to SXK: 14867\nBOH to SVK: 8478\nBOH to LNE: 17980\nBOH to WLH: 18097\nSTI to GCK: 3672\nSTI to ENE: 19394\nSTI to KFP: 8616\nSTI to SXK: 20041\nSTI to SVK: 2537\nSTI to LNE: 15041\nSTI to WLH: 15158\nLNE to GCK: 12695\nLNE to ENE: 7128\nLNE to KFP: 11804\nLNE to SXK: 8597\nLNE to SVK: 13667\nLNE to WLH: 160\nSXK to GCK: 18043\nSXK to ENE: 2903\nSXK to KFP: 18071\nSXK to SVK: 19368\nSXK to WLH: 8689\nENE to GCK: 17300\nENE to KFP: 17361\nENE to SVK: 18656\nENE to WLH: 7220\nGCK to KFP: 6600\nGCK to SVK: 2673\nGCK to WLH: 12812\nWLH to KFP: 11921\nWLH to SVK: 13784\nKFP to SVK: 7965\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56539,
"style": "rule"
}
|
{
"exact_answer": 56539,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BOH\", \"id\": 0}, {\"name\": \"STI\", \"id\": 1}, {\"name\": \"LNE\", \"id\": 2}, {\"name\": \"SXK\", \"id\": 3}, {\"name\": \"ENE\", \"id\": 4}, {\"name\": \"GCK\", \"id\": 5}, {\"name\": \"WLH\", \"id\": 6}, {\"name\": \"KFP\", \"id\": 7}, {\"name\": \"SVK\", \"id\": 8}], \"links\": [{\"weight\": 8257, \"source\": 0, \"target\": 5}, {\"weight\": 7775, \"source\": 0, \"target\": 1}, {\"weight\": 13834, \"source\": 0, \"target\": 4}, {\"weight\": 11254, \"source\": 0, \"target\": 7}, {\"weight\": 14867, \"source\": 0, \"target\": 3}, {\"weight\": 8478, \"source\": 0, \"target\": 8}, {\"weight\": 17980, \"source\": 0, \"target\": 2}, {\"weight\": 18097, \"source\": 0, \"target\": 6}, {\"weight\": 3672, \"source\": 1, \"target\": 5}, {\"weight\": 19394, \"source\": 1, \"target\": 4}, {\"weight\": 8616, \"source\": 1, \"target\": 7}, {\"weight\": 20041, \"source\": 1, \"target\": 3}, {\"weight\": 2537, \"source\": 1, \"target\": 8}, {\"weight\": 15041, \"source\": 1, \"target\": 2}, {\"weight\": 15158, \"source\": 1, \"target\": 6}, {\"weight\": 12695, \"source\": 2, \"target\": 5}, {\"weight\": 7128, \"source\": 2, \"target\": 4}, {\"weight\": 11804, \"source\": 2, \"target\": 7}, {\"weight\": 8597, \"source\": 2, \"target\": 3}, {\"weight\": 13667, \"source\": 2, \"target\": 8}, {\"weight\": 160, \"source\": 2, \"target\": 6}, {\"weight\": 18043, \"source\": 3, \"target\": 5}, {\"weight\": 2903, \"source\": 3, \"target\": 4}, {\"weight\": 18071, \"source\": 3, \"target\": 7}, {\"weight\": 19368, \"source\": 3, \"target\": 8}, {\"weight\": 8689, \"source\": 3, \"target\": 6}, {\"weight\": 17300, \"source\": 4, \"target\": 5}, {\"weight\": 17361, \"source\": 4, \"target\": 7}, {\"weight\": 18656, \"source\": 4, \"target\": 8}, {\"weight\": 7220, \"source\": 4, \"target\": 6}, {\"weight\": 6600, \"source\": 5, \"target\": 7}, {\"weight\": 2673, \"source\": 5, \"target\": 8}, {\"weight\": 12812, \"source\": 5, \"target\": 6}, {\"weight\": 11921, \"source\": 6, \"target\": 7}, {\"weight\": 13784, \"source\": 6, \"target\": 8}, {\"weight\": 7965, \"source\": 7, \"target\": 8}]}",
"id": 1223,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOH, STI, LNE, SXK, ENE, GCK, WLH, KFP, SVK\n- Travel distances (in kilometers) between each pair of airports:\nBOH to GCK: 8257\nBOH to STI: 7775\nBOH to ENE: 13834\nBOH to KFP: 11254\nBOH to SXK: 14867\nBOH to SVK: 8478\nBOH to LNE: 17980\nBOH to WLH: 18097\nSTI to GCK: 3672\nSTI to ENE: 19394\nSTI to KFP: 8616\nSTI to SXK: 20041\nSTI to SVK: 2537\nSTI to LNE: 15041\nSTI to WLH: 15158\nLNE to GCK: 12695\nLNE to ENE: 7128\nLNE to KFP: 11804\nLNE to SXK: 8597\nLNE to SVK: 13667\nLNE to WLH: 160\nSXK to GCK: 18043\nSXK to ENE: 2903\nSXK to KFP: 18071\nSXK to SVK: 19368\nSXK to WLH: 8689\nENE to GCK: 17300\nENE to KFP: 17361\nENE to SVK: 18656\nENE to WLH: 7220\nGCK to KFP: 6600\nGCK to SVK: 2673\nGCK to WLH: 12812\nWLH to KFP: 11921\nWLH to SVK: 13784\nKFP to SVK: 7965\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BJB, BTI, DEE, TAI, BUR, MQM, PED, DJJ\n- Travel distances (in kilometers) between each pair of airports:\nYZR to BTI: 6406\nYZR to BUR: 3705\nYZR to BJB: 11045\nYZR to TAI: 11703\nYZR to DJJ: 18191\nYZR to DEE: 12177\nYZR to MQM: 9492\nYZR to PED: 8566\nBJB to BTI: 15641\nBJB to BUR: 13707\nBJB to TAI: 3127\nBJB to DJJ: 11481\nBJB to DEE: 8488\nBJB to MQM: 3697\nBJB to PED: 5001\nBTI to BUR: 4599\nBTI to TAI: 16430\nBTI to DJJ: 18574\nBTI to DEE: 12394\nBTI to MQM: 14138\nBTI to PED: 13068\nDEE to BUR: 10400\nDEE to TAI: 10048\nDEE to DJJ: 9360\nDEE to MQM: 9462\nDEE to PED: 8656\nTAI to BUR: 14485\nTAI to DJJ: 11317\nTAI to MQM: 3891\nTAI to PED: 6426\nBUR to DJJ: 16534\nBUR to MQM: 12254\nBUR to PED: 11224\nMQM to DJJ: 13179\nMQM to PED: 4389\nPED to DJJ: 14134\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61154,
"style": "rule"
}
|
{
"exact_answer": 61154,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YZR\", \"id\": 0}, {\"name\": \"BJB\", \"id\": 1}, {\"name\": \"BTI\", \"id\": 2}, {\"name\": \"DEE\", \"id\": 3}, {\"name\": \"TAI\", \"id\": 4}, {\"name\": \"BUR\", \"id\": 5}, {\"name\": \"MQM\", \"id\": 6}, {\"name\": \"PED\", \"id\": 7}, {\"name\": \"DJJ\", \"id\": 8}], \"links\": [{\"weight\": 6406, \"source\": 0, \"target\": 2}, {\"weight\": 3705, \"source\": 0, \"target\": 5}, {\"weight\": 11045, \"source\": 0, \"target\": 1}, {\"weight\": 11703, \"source\": 0, \"target\": 4}, {\"weight\": 18191, \"source\": 0, \"target\": 8}, {\"weight\": 12177, \"source\": 0, \"target\": 3}, {\"weight\": 9492, \"source\": 0, \"target\": 6}, {\"weight\": 8566, \"source\": 0, \"target\": 7}, {\"weight\": 15641, \"source\": 1, \"target\": 2}, {\"weight\": 13707, \"source\": 1, \"target\": 5}, {\"weight\": 3127, \"source\": 1, \"target\": 4}, {\"weight\": 11481, \"source\": 1, \"target\": 8}, {\"weight\": 8488, \"source\": 1, \"target\": 3}, {\"weight\": 3697, \"source\": 1, \"target\": 6}, {\"weight\": 5001, \"source\": 1, \"target\": 7}, {\"weight\": 4599, \"source\": 2, \"target\": 5}, {\"weight\": 16430, \"source\": 2, \"target\": 4}, {\"weight\": 18574, \"source\": 2, \"target\": 8}, {\"weight\": 12394, \"source\": 2, \"target\": 3}, {\"weight\": 14138, \"source\": 2, \"target\": 6}, {\"weight\": 13068, \"source\": 2, \"target\": 7}, {\"weight\": 10400, \"source\": 3, \"target\": 5}, {\"weight\": 10048, \"source\": 3, \"target\": 4}, {\"weight\": 9360, \"source\": 3, \"target\": 8}, {\"weight\": 9462, \"source\": 3, \"target\": 6}, {\"weight\": 8656, \"source\": 3, \"target\": 7}, {\"weight\": 14485, \"source\": 4, \"target\": 5}, {\"weight\": 11317, \"source\": 4, \"target\": 8}, {\"weight\": 3891, \"source\": 4, \"target\": 6}, {\"weight\": 6426, \"source\": 4, \"target\": 7}, {\"weight\": 16534, \"source\": 5, \"target\": 8}, {\"weight\": 12254, \"source\": 5, \"target\": 6}, {\"weight\": 11224, \"source\": 5, \"target\": 7}, {\"weight\": 13179, \"source\": 6, \"target\": 8}, {\"weight\": 4389, \"source\": 6, \"target\": 7}, {\"weight\": 14134, \"source\": 7, \"target\": 8}]}",
"id": 1224,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BJB, BTI, DEE, TAI, BUR, MQM, PED, DJJ\n- Travel distances (in kilometers) between each pair of airports:\nYZR to BTI: 6406\nYZR to BUR: 3705\nYZR to BJB: 11045\nYZR to TAI: 11703\nYZR to DJJ: 18191\nYZR to DEE: 12177\nYZR to MQM: 9492\nYZR to PED: 8566\nBJB to BTI: 15641\nBJB to BUR: 13707\nBJB to TAI: 3127\nBJB to DJJ: 11481\nBJB to DEE: 8488\nBJB to MQM: 3697\nBJB to PED: 5001\nBTI to BUR: 4599\nBTI to TAI: 16430\nBTI to DJJ: 18574\nBTI to DEE: 12394\nBTI to MQM: 14138\nBTI to PED: 13068\nDEE to BUR: 10400\nDEE to TAI: 10048\nDEE to DJJ: 9360\nDEE to MQM: 9462\nDEE to PED: 8656\nTAI to BUR: 14485\nTAI to DJJ: 11317\nTAI to MQM: 3891\nTAI to PED: 6426\nBUR to DJJ: 16534\nBUR to MQM: 12254\nBUR to PED: 11224\nMQM to DJJ: 13179\nMQM to PED: 4389\nPED to DJJ: 14134\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TID, LQM, SNO, CXB, AOS, FOC, PMC, MGT, BHO\n- Travel distances (in kilometers) between each pair of airports:\nTID to AOS: 12361\nTID to FOC: 10702\nTID to CXB: 8744\nTID to LQM: 9592\nTID to BHO: 7624\nTID to PMC: 12334\nTID to SNO: 10482\nTID to MGT: 14889\nLQM to AOS: 9838\nLQM to FOC: 16876\nLQM to CXB: 17680\nLQM to BHO: 16533\nLQM to PMC: 5653\nLQM to SNO: 19380\nLQM to MGT: 19667\nSNO to AOS: 15332\nSNO to FOC: 2916\nSNO to CXB: 2392\nSNO to BHO: 3354\nSNO to PMC: 20365\nSNO to MGT: 5713\nCXB to AOS: 15174\nCXB to FOC: 3265\nCXB to BHO: 1770\nCXB to PMC: 19532\nCXB to MGT: 6984\nAOS to FOC: 12619\nAOS to BHO: 15890\nAOS to PMC: 14120\nAOS to MGT: 15804\nFOC to BHO: 4397\nFOC to PMC: 19723\nFOC to MGT: 4900\nPMC to BHO: 17992\nPMC to MGT: 15846\nMGT to BHO: 7608\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62843,
"style": "rule"
}
|
{
"exact_answer": 62843,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TID\", \"id\": 0}, {\"name\": \"LQM\", \"id\": 1}, {\"name\": \"SNO\", \"id\": 2}, {\"name\": \"CXB\", \"id\": 3}, {\"name\": \"AOS\", \"id\": 4}, {\"name\": \"FOC\", \"id\": 5}, {\"name\": \"PMC\", \"id\": 6}, {\"name\": \"MGT\", \"id\": 7}, {\"name\": \"BHO\", \"id\": 8}], \"links\": [{\"weight\": 12361, \"source\": 0, \"target\": 4}, {\"weight\": 10702, \"source\": 0, \"target\": 5}, {\"weight\": 8744, \"source\": 0, \"target\": 3}, {\"weight\": 9592, \"source\": 0, \"target\": 1}, {\"weight\": 7624, \"source\": 0, \"target\": 8}, {\"weight\": 12334, \"source\": 0, \"target\": 6}, {\"weight\": 10482, \"source\": 0, \"target\": 2}, {\"weight\": 14889, \"source\": 0, \"target\": 7}, {\"weight\": 9838, \"source\": 1, \"target\": 4}, {\"weight\": 16876, \"source\": 1, \"target\": 5}, {\"weight\": 17680, \"source\": 1, \"target\": 3}, {\"weight\": 16533, \"source\": 1, \"target\": 8}, {\"weight\": 5653, \"source\": 1, \"target\": 6}, {\"weight\": 19380, \"source\": 1, \"target\": 2}, {\"weight\": 19667, \"source\": 1, \"target\": 7}, {\"weight\": 15332, \"source\": 2, \"target\": 4}, {\"weight\": 2916, \"source\": 2, \"target\": 5}, {\"weight\": 2392, \"source\": 2, \"target\": 3}, {\"weight\": 3354, \"source\": 2, \"target\": 8}, {\"weight\": 20365, \"source\": 2, \"target\": 6}, {\"weight\": 5713, \"source\": 2, \"target\": 7}, {\"weight\": 15174, \"source\": 3, \"target\": 4}, {\"weight\": 3265, \"source\": 3, \"target\": 5}, {\"weight\": 1770, \"source\": 3, \"target\": 8}, {\"weight\": 19532, \"source\": 3, \"target\": 6}, {\"weight\": 6984, \"source\": 3, \"target\": 7}, {\"weight\": 12619, \"source\": 4, \"target\": 5}, {\"weight\": 15890, \"source\": 4, \"target\": 8}, {\"weight\": 14120, \"source\": 4, \"target\": 6}, {\"weight\": 15804, \"source\": 4, \"target\": 7}, {\"weight\": 4397, \"source\": 5, \"target\": 8}, {\"weight\": 19723, \"source\": 5, \"target\": 6}, {\"weight\": 4900, \"source\": 5, \"target\": 7}, {\"weight\": 17992, \"source\": 6, \"target\": 8}, {\"weight\": 15846, \"source\": 6, \"target\": 7}, {\"weight\": 7608, \"source\": 7, \"target\": 8}]}",
"id": 1225,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TID, LQM, SNO, CXB, AOS, FOC, PMC, MGT, BHO\n- Travel distances (in kilometers) between each pair of airports:\nTID to AOS: 12361\nTID to FOC: 10702\nTID to CXB: 8744\nTID to LQM: 9592\nTID to BHO: 7624\nTID to PMC: 12334\nTID to SNO: 10482\nTID to MGT: 14889\nLQM to AOS: 9838\nLQM to FOC: 16876\nLQM to CXB: 17680\nLQM to BHO: 16533\nLQM to PMC: 5653\nLQM to SNO: 19380\nLQM to MGT: 19667\nSNO to AOS: 15332\nSNO to FOC: 2916\nSNO to CXB: 2392\nSNO to BHO: 3354\nSNO to PMC: 20365\nSNO to MGT: 5713\nCXB to AOS: 15174\nCXB to FOC: 3265\nCXB to BHO: 1770\nCXB to PMC: 19532\nCXB to MGT: 6984\nAOS to FOC: 12619\nAOS to BHO: 15890\nAOS to PMC: 14120\nAOS to MGT: 15804\nFOC to BHO: 4397\nFOC to PMC: 19723\nFOC to MGT: 4900\nPMC to BHO: 17992\nPMC to MGT: 15846\nMGT to BHO: 7608\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BGG, PAS, FSC, JUL, HLA, SJC, SDL, AHE\n- Travel distances (in kilometers) between each pair of airports:\nTGC to PAS: 10019\nTGC to FSC: 11547\nTGC to SJC: 13332\nTGC to JUL: 19855\nTGC to SDL: 10720\nTGC to HLA: 9957\nTGC to BGG: 9770\nTGC to AHE: 12645\nBGG to PAS: 1637\nBGG to FSC: 3109\nBGG to SJC: 12100\nBGG to JUL: 13750\nBGG to SDL: 3538\nBGG to HLA: 9166\nBGG to AHE: 19164\nPAS to FSC: 1976\nPAS to SJC: 11270\nPAS to JUL: 12530\nPAS to SDL: 2918\nPAS to HLA: 8556\nPAS to AHE: 18388\nFSC to SJC: 10069\nFSC to JUL: 11188\nFSC to SDL: 2491\nFSC to HLA: 10057\nFSC to AHE: 17190\nJUL to SJC: 8058\nJUL to SDL: 12736\nJUL to HLA: 11410\nJUL to AHE: 10964\nHLA to SJC: 17993\nHLA to SDL: 11022\nHLA to AHE: 18689\nSJC to SDL: 9394\nSJC to AHE: 7605\nSDL to AHE: 16293\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65204,
"style": "rule"
}
|
{
"exact_answer": 65204,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGC\", \"id\": 0}, {\"name\": \"BGG\", \"id\": 1}, {\"name\": \"PAS\", \"id\": 2}, {\"name\": \"FSC\", \"id\": 3}, {\"name\": \"JUL\", \"id\": 4}, {\"name\": \"HLA\", \"id\": 5}, {\"name\": \"SJC\", \"id\": 6}, {\"name\": \"SDL\", \"id\": 7}, {\"name\": \"AHE\", \"id\": 8}], \"links\": [{\"weight\": 10019, \"source\": 0, \"target\": 2}, {\"weight\": 11547, \"source\": 0, \"target\": 3}, {\"weight\": 13332, \"source\": 0, \"target\": 6}, {\"weight\": 19855, \"source\": 0, \"target\": 4}, {\"weight\": 10720, \"source\": 0, \"target\": 7}, {\"weight\": 9957, \"source\": 0, \"target\": 5}, {\"weight\": 9770, \"source\": 0, \"target\": 1}, {\"weight\": 12645, \"source\": 0, \"target\": 8}, {\"weight\": 1637, \"source\": 1, \"target\": 2}, {\"weight\": 3109, \"source\": 1, \"target\": 3}, {\"weight\": 12100, \"source\": 1, \"target\": 6}, {\"weight\": 13750, \"source\": 1, \"target\": 4}, {\"weight\": 3538, \"source\": 1, \"target\": 7}, {\"weight\": 9166, \"source\": 1, \"target\": 5}, {\"weight\": 19164, \"source\": 1, \"target\": 8}, {\"weight\": 1976, \"source\": 2, \"target\": 3}, {\"weight\": 11270, \"source\": 2, \"target\": 6}, {\"weight\": 12530, \"source\": 2, \"target\": 4}, {\"weight\": 2918, \"source\": 2, \"target\": 7}, {\"weight\": 8556, \"source\": 2, \"target\": 5}, {\"weight\": 18388, \"source\": 2, \"target\": 8}, {\"weight\": 10069, \"source\": 3, \"target\": 6}, {\"weight\": 11188, \"source\": 3, \"target\": 4}, {\"weight\": 2491, \"source\": 3, \"target\": 7}, {\"weight\": 10057, \"source\": 3, \"target\": 5}, {\"weight\": 17190, \"source\": 3, \"target\": 8}, {\"weight\": 8058, \"source\": 4, \"target\": 6}, {\"weight\": 12736, \"source\": 4, \"target\": 7}, {\"weight\": 11410, \"source\": 4, \"target\": 5}, {\"weight\": 10964, \"source\": 4, \"target\": 8}, {\"weight\": 17993, \"source\": 5, \"target\": 6}, {\"weight\": 11022, \"source\": 5, \"target\": 7}, {\"weight\": 18689, \"source\": 5, \"target\": 8}, {\"weight\": 9394, \"source\": 6, \"target\": 7}, {\"weight\": 7605, \"source\": 6, \"target\": 8}, {\"weight\": 16293, \"source\": 7, \"target\": 8}]}",
"id": 1226,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BGG, PAS, FSC, JUL, HLA, SJC, SDL, AHE\n- Travel distances (in kilometers) between each pair of airports:\nTGC to PAS: 10019\nTGC to FSC: 11547\nTGC to SJC: 13332\nTGC to JUL: 19855\nTGC to SDL: 10720\nTGC to HLA: 9957\nTGC to BGG: 9770\nTGC to AHE: 12645\nBGG to PAS: 1637\nBGG to FSC: 3109\nBGG to SJC: 12100\nBGG to JUL: 13750\nBGG to SDL: 3538\nBGG to HLA: 9166\nBGG to AHE: 19164\nPAS to FSC: 1976\nPAS to SJC: 11270\nPAS to JUL: 12530\nPAS to SDL: 2918\nPAS to HLA: 8556\nPAS to AHE: 18388\nFSC to SJC: 10069\nFSC to JUL: 11188\nFSC to SDL: 2491\nFSC to HLA: 10057\nFSC to AHE: 17190\nJUL to SJC: 8058\nJUL to SDL: 12736\nJUL to HLA: 11410\nJUL to AHE: 10964\nHLA to SJC: 17993\nHLA to SDL: 11022\nHLA to AHE: 18689\nSJC to SDL: 9394\nSJC to AHE: 7605\nSDL to AHE: 16293\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NNY, GLO, RBR, WLG, HUX, JFK, ATD, BSO, JER\n- Travel distances (in kilometers) between each pair of airports:\nNNY to BSO: 3012\nNNY to JFK: 11846\nNNY to HUX: 13808\nNNY to JER: 9156\nNNY to RBR: 18333\nNNY to WLG: 10647\nNNY to ATD: 7794\nNNY to GLO: 9374\nGLO to BSO: 11846\nGLO to JFK: 5525\nGLO to HUX: 9325\nGLO to JER: 897\nGLO to RBR: 10504\nGLO to WLG: 19368\nGLO to ATD: 16624\nRBR to BSO: 20772\nRBR to JFK: 6487\nRBR to HUX: 6662\nRBR to JER: 10363\nRBR to WLG: 15427\nRBR to ATD: 18588\nWLG to BSO: 9158\nWLG to JFK: 14940\nWLG to HUX: 13969\nWLG to JER: 19231\nWLG to ATD: 4121\nHUX to BSO: 15411\nHUX to JFK: 3861\nHUX to JER: 9448\nHUX to ATD: 14108\nJFK to BSO: 14364\nJFK to JER: 5637\nJFK to ATD: 15079\nATD to BSO: 6125\nATD to JER: 16463\nBSO to JER: 11682\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54786,
"style": "rule"
}
|
{
"exact_answer": 54786,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NNY\", \"id\": 0}, {\"name\": \"GLO\", \"id\": 1}, {\"name\": \"RBR\", \"id\": 2}, {\"name\": \"WLG\", \"id\": 3}, {\"name\": \"HUX\", \"id\": 4}, {\"name\": \"JFK\", \"id\": 5}, {\"name\": \"ATD\", \"id\": 6}, {\"name\": \"BSO\", \"id\": 7}, {\"name\": \"JER\", \"id\": 8}], \"links\": [{\"weight\": 3012, \"source\": 0, \"target\": 7}, {\"weight\": 11846, \"source\": 0, \"target\": 5}, {\"weight\": 13808, \"source\": 0, \"target\": 4}, {\"weight\": 9156, \"source\": 0, \"target\": 8}, {\"weight\": 18333, \"source\": 0, \"target\": 2}, {\"weight\": 10647, \"source\": 0, \"target\": 3}, {\"weight\": 7794, \"source\": 0, \"target\": 6}, {\"weight\": 9374, \"source\": 0, \"target\": 1}, {\"weight\": 11846, \"source\": 1, \"target\": 7}, {\"weight\": 5525, \"source\": 1, \"target\": 5}, {\"weight\": 9325, \"source\": 1, \"target\": 4}, {\"weight\": 897, \"source\": 1, \"target\": 8}, {\"weight\": 10504, \"source\": 1, \"target\": 2}, {\"weight\": 19368, \"source\": 1, \"target\": 3}, {\"weight\": 16624, \"source\": 1, \"target\": 6}, {\"weight\": 20772, \"source\": 2, \"target\": 7}, {\"weight\": 6487, \"source\": 2, \"target\": 5}, {\"weight\": 6662, \"source\": 2, \"target\": 4}, {\"weight\": 10363, \"source\": 2, \"target\": 8}, {\"weight\": 15427, \"source\": 2, \"target\": 3}, {\"weight\": 18588, \"source\": 2, \"target\": 6}, {\"weight\": 9158, \"source\": 3, \"target\": 7}, {\"weight\": 14940, \"source\": 3, \"target\": 5}, {\"weight\": 13969, \"source\": 3, \"target\": 4}, {\"weight\": 19231, \"source\": 3, \"target\": 8}, {\"weight\": 4121, \"source\": 3, \"target\": 6}, {\"weight\": 15411, \"source\": 4, \"target\": 7}, {\"weight\": 3861, \"source\": 4, \"target\": 5}, {\"weight\": 9448, \"source\": 4, \"target\": 8}, {\"weight\": 14108, \"source\": 4, \"target\": 6}, {\"weight\": 14364, \"source\": 5, \"target\": 7}, {\"weight\": 5637, \"source\": 5, \"target\": 8}, {\"weight\": 15079, \"source\": 5, \"target\": 6}, {\"weight\": 6125, \"source\": 6, \"target\": 7}, {\"weight\": 16463, \"source\": 6, \"target\": 8}, {\"weight\": 11682, \"source\": 7, \"target\": 8}]}",
"id": 1227,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NNY, GLO, RBR, WLG, HUX, JFK, ATD, BSO, JER\n- Travel distances (in kilometers) between each pair of airports:\nNNY to BSO: 3012\nNNY to JFK: 11846\nNNY to HUX: 13808\nNNY to JER: 9156\nNNY to RBR: 18333\nNNY to WLG: 10647\nNNY to ATD: 7794\nNNY to GLO: 9374\nGLO to BSO: 11846\nGLO to JFK: 5525\nGLO to HUX: 9325\nGLO to JER: 897\nGLO to RBR: 10504\nGLO to WLG: 19368\nGLO to ATD: 16624\nRBR to BSO: 20772\nRBR to JFK: 6487\nRBR to HUX: 6662\nRBR to JER: 10363\nRBR to WLG: 15427\nRBR to ATD: 18588\nWLG to BSO: 9158\nWLG to JFK: 14940\nWLG to HUX: 13969\nWLG to JER: 19231\nWLG to ATD: 4121\nHUX to BSO: 15411\nHUX to JFK: 3861\nHUX to JER: 9448\nHUX to ATD: 14108\nJFK to BSO: 14364\nJFK to JER: 5637\nJFK to ATD: 15079\nATD to BSO: 6125\nATD to JER: 16463\nBSO to JER: 11682\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NPE, ALO, YHZ, SFL, IXC, RTW, YLW, HMA, LBC\n- Travel distances (in kilometers) between each pair of airports:\nNPE to YLW: 11975\nNPE to IXC: 13065\nNPE to RTW: 16276\nNPE to ALO: 13990\nNPE to YHZ: 15590\nNPE to LBC: 18266\nNPE to HMA: 14829\nNPE to SFL: 17706\nALO to YLW: 2998\nALO to IXC: 12631\nALO to RTW: 9251\nALO to YHZ: 2363\nALO to LBC: 8131\nALO to HMA: 10390\nALO to SFL: 7322\nYHZ to YLW: 4144\nYHZ to IXC: 11550\nYHZ to RTW: 7814\nYHZ to LBC: 6398\nYHZ to HMA: 9036\nYHZ to SFL: 6221\nSFL to YLW: 9331\nSFL to IXC: 10787\nSFL to RTW: 7505\nSFL to LBC: 5573\nSFL to HMA: 8868\nIXC to YLW: 12822\nIXC to RTW: 4582\nIXC to LBC: 6377\nIXC to HMA: 4084\nRTW to YLW: 9534\nRTW to LBC: 2656\nRTW to HMA: 1788\nYLW to LBC: 8491\nYLW to HMA: 10673\nHMA to LBC: 3878\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50723,
"style": "rule"
}
|
{
"exact_answer": 50723,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NPE\", \"id\": 0}, {\"name\": \"ALO\", \"id\": 1}, {\"name\": \"YHZ\", \"id\": 2}, {\"name\": \"SFL\", \"id\": 3}, {\"name\": \"IXC\", \"id\": 4}, {\"name\": \"RTW\", \"id\": 5}, {\"name\": \"YLW\", \"id\": 6}, {\"name\": \"HMA\", \"id\": 7}, {\"name\": \"LBC\", \"id\": 8}], \"links\": [{\"weight\": 11975, \"source\": 0, \"target\": 6}, {\"weight\": 13065, \"source\": 0, \"target\": 4}, {\"weight\": 16276, \"source\": 0, \"target\": 5}, {\"weight\": 13990, \"source\": 0, \"target\": 1}, {\"weight\": 15590, \"source\": 0, \"target\": 2}, {\"weight\": 18266, \"source\": 0, \"target\": 8}, {\"weight\": 14829, \"source\": 0, \"target\": 7}, {\"weight\": 17706, \"source\": 0, \"target\": 3}, {\"weight\": 2998, \"source\": 1, \"target\": 6}, {\"weight\": 12631, \"source\": 1, \"target\": 4}, {\"weight\": 9251, \"source\": 1, \"target\": 5}, {\"weight\": 2363, \"source\": 1, \"target\": 2}, {\"weight\": 8131, \"source\": 1, \"target\": 8}, {\"weight\": 10390, \"source\": 1, \"target\": 7}, {\"weight\": 7322, \"source\": 1, \"target\": 3}, {\"weight\": 4144, \"source\": 2, \"target\": 6}, {\"weight\": 11550, \"source\": 2, \"target\": 4}, {\"weight\": 7814, \"source\": 2, \"target\": 5}, {\"weight\": 6398, \"source\": 2, \"target\": 8}, {\"weight\": 9036, \"source\": 2, \"target\": 7}, {\"weight\": 6221, \"source\": 2, \"target\": 3}, {\"weight\": 9331, \"source\": 3, \"target\": 6}, {\"weight\": 10787, \"source\": 3, \"target\": 4}, {\"weight\": 7505, \"source\": 3, \"target\": 5}, {\"weight\": 5573, \"source\": 3, \"target\": 8}, {\"weight\": 8868, \"source\": 3, \"target\": 7}, {\"weight\": 12822, \"source\": 4, \"target\": 6}, {\"weight\": 4582, \"source\": 4, \"target\": 5}, {\"weight\": 6377, \"source\": 4, \"target\": 8}, {\"weight\": 4084, \"source\": 4, \"target\": 7}, {\"weight\": 9534, \"source\": 5, \"target\": 6}, {\"weight\": 2656, \"source\": 5, \"target\": 8}, {\"weight\": 1788, \"source\": 5, \"target\": 7}, {\"weight\": 8491, \"source\": 6, \"target\": 8}, {\"weight\": 10673, \"source\": 6, \"target\": 7}, {\"weight\": 3878, \"source\": 7, \"target\": 8}]}",
"id": 1228,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NPE, ALO, YHZ, SFL, IXC, RTW, YLW, HMA, LBC\n- Travel distances (in kilometers) between each pair of airports:\nNPE to YLW: 11975\nNPE to IXC: 13065\nNPE to RTW: 16276\nNPE to ALO: 13990\nNPE to YHZ: 15590\nNPE to LBC: 18266\nNPE to HMA: 14829\nNPE to SFL: 17706\nALO to YLW: 2998\nALO to IXC: 12631\nALO to RTW: 9251\nALO to YHZ: 2363\nALO to LBC: 8131\nALO to HMA: 10390\nALO to SFL: 7322\nYHZ to YLW: 4144\nYHZ to IXC: 11550\nYHZ to RTW: 7814\nYHZ to LBC: 6398\nYHZ to HMA: 9036\nYHZ to SFL: 6221\nSFL to YLW: 9331\nSFL to IXC: 10787\nSFL to RTW: 7505\nSFL to LBC: 5573\nSFL to HMA: 8868\nIXC to YLW: 12822\nIXC to RTW: 4582\nIXC to LBC: 6377\nIXC to HMA: 4084\nRTW to YLW: 9534\nRTW to LBC: 2656\nRTW to HMA: 1788\nYLW to LBC: 8491\nYLW to HMA: 10673\nHMA to LBC: 3878\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLZ, JIC, ATK, CEE, NBX, AAQ, FMO, STS, SLC\n- Travel distances (in kilometers) between each pair of airports:\nSLZ to ATK: 12568\nSLZ to SLC: 8416\nSLZ to STS: 9419\nSLZ to FMO: 8334\nSLZ to CEE: 10261\nSLZ to JIC: 15783\nSLZ to NBX: 21060\nSLZ to AAQ: 11311\nJIC to ATK: 13512\nJIC to SLC: 11227\nJIC to STS: 11136\nJIC to FMO: 7640\nJIC to CEE: 6263\nJIC to NBX: 7084\nJIC to AAQ: 6860\nATK to SLC: 4468\nATK to STS: 4356\nATK to FMO: 11529\nATK to CEE: 12356\nATK to NBX: 18315\nATK to AAQ: 13627\nCEE to SLC: 9507\nCEE to STS: 9988\nCEE to FMO: 2086\nCEE to NBX: 12479\nCEE to AAQ: 1586\nNBX to SLC: 16051\nNBX to STS: 15827\nNBX to FMO: 14076\nNBX to AAQ: 13207\nAAQ to SLC: 10778\nAAQ to STS: 11259\nAAQ to FMO: 3183\nFMO to SLC: 8680\nFMO to STS: 9161\nSTS to SLC: 1592\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\": \"SLZ\", \"id\": 0}, {\"name\": \"JIC\", \"id\": 1}, {\"name\": \"ATK\", \"id\": 2}, {\"name\": \"CEE\", \"id\": 3}, {\"name\": \"NBX\", \"id\": 4}, {\"name\": \"AAQ\", \"id\": 5}, {\"name\": \"FMO\", \"id\": 6}, {\"name\": \"STS\", \"id\": 7}, {\"name\": \"SLC\", \"id\": 8}], \"links\": [{\"weight\": 12568, \"source\": 0, \"target\": 2}, {\"weight\": 8416, \"source\": 0, \"target\": 8}, {\"weight\": 9419, \"source\": 0, \"target\": 7}, {\"weight\": 8334, \"source\": 0, \"target\": 6}, {\"weight\": 10261, \"source\": 0, \"target\": 3}, {\"weight\": 15783, \"source\": 0, \"target\": 1}, {\"weight\": 21060, \"source\": 0, \"target\": 4}, {\"weight\": 11311, \"source\": 0, \"target\": 5}, {\"weight\": 13512, \"source\": 1, \"target\": 2}, {\"weight\": 11227, \"source\": 1, \"target\": 8}, {\"weight\": 11136, \"source\": 1, \"target\": 7}, {\"weight\": 7640, \"source\": 1, \"target\": 6}, {\"weight\": 6263, \"source\": 1, \"target\": 3}, {\"weight\": 7084, \"source\": 1, \"target\": 4}, {\"weight\": 6860, \"source\": 1, \"target\": 5}, {\"weight\": 4468, \"source\": 2, \"target\": 8}, {\"weight\": 4356, \"source\": 2, \"target\": 7}, {\"weight\": 11529, \"source\": 2, \"target\": 6}, {\"weight\": 12356, \"source\": 2, \"target\": 3}, {\"weight\": 18315, \"source\": 2, \"target\": 4}, {\"weight\": 13627, \"source\": 2, \"target\": 5}, {\"weight\": 9507, \"source\": 3, \"target\": 8}, {\"weight\": 9988, \"source\": 3, \"target\": 7}, {\"weight\": 2086, \"source\": 3, \"target\": 6}, {\"weight\": 12479, \"source\": 3, \"target\": 4}, {\"weight\": 1586, \"source\": 3, \"target\": 5}, {\"weight\": 16051, \"source\": 4, \"target\": 8}, {\"weight\": 15827, \"source\": 4, \"target\": 7}, {\"weight\": 14076, \"source\": 4, \"target\": 6}, {\"weight\": 13207, \"source\": 4, \"target\": 5}, {\"weight\": 10778, \"source\": 5, \"target\": 8}, {\"weight\": 11259, \"source\": 5, \"target\": 7}, {\"weight\": 3183, \"source\": 5, \"target\": 6}, {\"weight\": 8680, \"source\": 6, \"target\": 8}, {\"weight\": 9161, \"source\": 6, \"target\": 7}, {\"weight\": 1592, \"source\": 7, \"target\": 8}]}",
"id": 1229,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLZ, JIC, ATK, CEE, NBX, AAQ, FMO, STS, SLC\n- Travel distances (in kilometers) between each pair of airports:\nSLZ to ATK: 12568\nSLZ to SLC: 8416\nSLZ to STS: 9419\nSLZ to FMO: 8334\nSLZ to CEE: 10261\nSLZ to JIC: 15783\nSLZ to NBX: 21060\nSLZ to AAQ: 11311\nJIC to ATK: 13512\nJIC to SLC: 11227\nJIC to STS: 11136\nJIC to FMO: 7640\nJIC to CEE: 6263\nJIC to NBX: 7084\nJIC to AAQ: 6860\nATK to SLC: 4468\nATK to STS: 4356\nATK to FMO: 11529\nATK to CEE: 12356\nATK to NBX: 18315\nATK to AAQ: 13627\nCEE to SLC: 9507\nCEE to STS: 9988\nCEE to FMO: 2086\nCEE to NBX: 12479\nCEE to AAQ: 1586\nNBX to SLC: 16051\nNBX to STS: 15827\nNBX to FMO: 14076\nNBX to AAQ: 13207\nAAQ to SLC: 10778\nAAQ to STS: 11259\nAAQ to FMO: 3183\nFMO to SLC: 8680\nFMO to STS: 9161\nSTS to SLC: 1592\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EZS, POA, WRE, ELG, MCN, MKE, VVC, LBB, TMI\n- Travel distances (in kilometers) between each pair of airports:\nEZS to MCN: 10294\nEZS to POA: 12363\nEZS to VVC: 11757\nEZS to MKE: 9766\nEZS to LBB: 11453\nEZS to ELG: 4049\nEZS to WRE: 17424\nEZS to TMI: 5797\nPOA to MCN: 7768\nPOA to VVC: 5283\nPOA to MKE: 8963\nPOA to LBB: 8875\nPOA to ELG: 10066\nPOA to WRE: 11790\nPOA to TMI: 16179\nWRE to MCN: 13880\nWRE to VVC: 14127\nWRE to MKE: 13448\nWRE to LBB: 12252\nWRE to ELG: 20260\nWRE to TMI: 12111\nELG to MCN: 8661\nELG to VVC: 9383\nELG to MKE: 8307\nELG to LBB: 9999\nELG to TMI: 8597\nMCN to VVC: 3350\nMCN to MKE: 1205\nMCN to LBB: 1753\nMCN to TMI: 13982\nMKE to VVC: 4545\nMKE to LBB: 1825\nMKE to TMI: 13127\nVVC to LBB: 4394\nVVC to TMI: 16287\nLBB to TMI: 14394\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54265,
"style": "rule"
}
|
{
"exact_answer": 54265,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EZS\", \"id\": 0}, {\"name\": \"POA\", \"id\": 1}, {\"name\": \"WRE\", \"id\": 2}, {\"name\": \"ELG\", \"id\": 3}, {\"name\": \"MCN\", \"id\": 4}, {\"name\": \"MKE\", \"id\": 5}, {\"name\": \"VVC\", \"id\": 6}, {\"name\": \"LBB\", \"id\": 7}, {\"name\": \"TMI\", \"id\": 8}], \"links\": [{\"weight\": 10294, \"source\": 0, \"target\": 4}, {\"weight\": 12363, \"source\": 0, \"target\": 1}, {\"weight\": 11757, \"source\": 0, \"target\": 6}, {\"weight\": 9766, \"source\": 0, \"target\": 5}, {\"weight\": 11453, \"source\": 0, \"target\": 7}, {\"weight\": 4049, \"source\": 0, \"target\": 3}, {\"weight\": 17424, \"source\": 0, \"target\": 2}, {\"weight\": 5797, \"source\": 0, \"target\": 8}, {\"weight\": 7768, \"source\": 1, \"target\": 4}, {\"weight\": 5283, \"source\": 1, \"target\": 6}, {\"weight\": 8963, \"source\": 1, \"target\": 5}, {\"weight\": 8875, \"source\": 1, \"target\": 7}, {\"weight\": 10066, \"source\": 1, \"target\": 3}, {\"weight\": 11790, \"source\": 1, \"target\": 2}, {\"weight\": 16179, \"source\": 1, \"target\": 8}, {\"weight\": 13880, \"source\": 2, \"target\": 4}, {\"weight\": 14127, \"source\": 2, \"target\": 6}, {\"weight\": 13448, \"source\": 2, \"target\": 5}, {\"weight\": 12252, \"source\": 2, \"target\": 7}, {\"weight\": 20260, \"source\": 2, \"target\": 3}, {\"weight\": 12111, \"source\": 2, \"target\": 8}, {\"weight\": 8661, \"source\": 3, \"target\": 4}, {\"weight\": 9383, \"source\": 3, \"target\": 6}, {\"weight\": 8307, \"source\": 3, \"target\": 5}, {\"weight\": 9999, \"source\": 3, \"target\": 7}, {\"weight\": 8597, \"source\": 3, \"target\": 8}, {\"weight\": 3350, \"source\": 4, \"target\": 6}, {\"weight\": 1205, \"source\": 4, \"target\": 5}, {\"weight\": 1753, \"source\": 4, \"target\": 7}, {\"weight\": 13982, \"source\": 4, \"target\": 8}, {\"weight\": 4545, \"source\": 5, \"target\": 6}, {\"weight\": 1825, \"source\": 5, \"target\": 7}, {\"weight\": 13127, \"source\": 5, \"target\": 8}, {\"weight\": 4394, \"source\": 6, \"target\": 7}, {\"weight\": 16287, \"source\": 6, \"target\": 8}, {\"weight\": 14394, \"source\": 7, \"target\": 8}]}",
"id": 1230,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EZS, POA, WRE, ELG, MCN, MKE, VVC, LBB, TMI\n- Travel distances (in kilometers) between each pair of airports:\nEZS to MCN: 10294\nEZS to POA: 12363\nEZS to VVC: 11757\nEZS to MKE: 9766\nEZS to LBB: 11453\nEZS to ELG: 4049\nEZS to WRE: 17424\nEZS to TMI: 5797\nPOA to MCN: 7768\nPOA to VVC: 5283\nPOA to MKE: 8963\nPOA to LBB: 8875\nPOA to ELG: 10066\nPOA to WRE: 11790\nPOA to TMI: 16179\nWRE to MCN: 13880\nWRE to VVC: 14127\nWRE to MKE: 13448\nWRE to LBB: 12252\nWRE to ELG: 20260\nWRE to TMI: 12111\nELG to MCN: 8661\nELG to VVC: 9383\nELG to MKE: 8307\nELG to LBB: 9999\nELG to TMI: 8597\nMCN to VVC: 3350\nMCN to MKE: 1205\nMCN to LBB: 1753\nMCN to TMI: 13982\nMKE to VVC: 4545\nMKE to LBB: 1825\nMKE to TMI: 13127\nVVC to LBB: 4394\nVVC to TMI: 16287\nLBB to TMI: 14394\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JHS, AQA, ZAG, NAS, BRD, HFE, YLL, NYA, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nJHS to HFE: 11396\nJHS to ZAG: 4683\nJHS to YLL: 7250\nJHS to NAS: 7610\nJHS to AQA: 13102\nJHS to BRD: 7162\nJHS to KCZ: 12378\nJHS to NYA: 6908\nAQA to HFE: 18537\nAQA to ZAG: 10197\nAQA to YLL: 11047\nAQA to NAS: 6808\nAQA to BRD: 9264\nAQA to KCZ: 19299\nAQA to NYA: 14000\nZAG to HFE: 8523\nZAG to YLL: 8625\nZAG to NAS: 8343\nZAG to BRD: 7965\nZAG to KCZ: 9634\nZAG to NYA: 3882\nNAS to HFE: 13554\nNAS to YLL: 4610\nNAS to BRD: 2811\nNAS to KCZ: 12846\nNAS to NYA: 11076\nBRD to HFE: 11714\nBRD to YLL: 2234\nBRD to KCZ: 10410\nBRD to NYA: 10628\nHFE to YLL: 10276\nHFE to KCZ: 1978\nHFE to NYA: 5569\nYLL to KCZ: 8983\nYLL to NYA: 10716\nNYA to KCZ: 6727\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50050,
"style": "rule"
}
|
{
"exact_answer": 50050,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JHS\", \"id\": 0}, {\"name\": \"AQA\", \"id\": 1}, {\"name\": \"ZAG\", \"id\": 2}, {\"name\": \"NAS\", \"id\": 3}, {\"name\": \"BRD\", \"id\": 4}, {\"name\": \"HFE\", \"id\": 5}, {\"name\": \"YLL\", \"id\": 6}, {\"name\": \"NYA\", \"id\": 7}, {\"name\": \"KCZ\", \"id\": 8}], \"links\": [{\"weight\": 11396, \"source\": 0, \"target\": 5}, {\"weight\": 4683, \"source\": 0, \"target\": 2}, {\"weight\": 7250, \"source\": 0, \"target\": 6}, {\"weight\": 7610, \"source\": 0, \"target\": 3}, {\"weight\": 13102, \"source\": 0, \"target\": 1}, {\"weight\": 7162, \"source\": 0, \"target\": 4}, {\"weight\": 12378, \"source\": 0, \"target\": 8}, {\"weight\": 6908, \"source\": 0, \"target\": 7}, {\"weight\": 18537, \"source\": 1, \"target\": 5}, {\"weight\": 10197, \"source\": 1, \"target\": 2}, {\"weight\": 11047, \"source\": 1, \"target\": 6}, {\"weight\": 6808, \"source\": 1, \"target\": 3}, {\"weight\": 9264, \"source\": 1, \"target\": 4}, {\"weight\": 19299, \"source\": 1, \"target\": 8}, {\"weight\": 14000, \"source\": 1, \"target\": 7}, {\"weight\": 8523, \"source\": 2, \"target\": 5}, {\"weight\": 8625, \"source\": 2, \"target\": 6}, {\"weight\": 8343, \"source\": 2, \"target\": 3}, {\"weight\": 7965, \"source\": 2, \"target\": 4}, {\"weight\": 9634, \"source\": 2, \"target\": 8}, {\"weight\": 3882, \"source\": 2, \"target\": 7}, {\"weight\": 13554, \"source\": 3, \"target\": 5}, {\"weight\": 4610, \"source\": 3, \"target\": 6}, {\"weight\": 2811, \"source\": 3, \"target\": 4}, {\"weight\": 12846, \"source\": 3, \"target\": 8}, {\"weight\": 11076, \"source\": 3, \"target\": 7}, {\"weight\": 11714, \"source\": 4, \"target\": 5}, {\"weight\": 2234, \"source\": 4, \"target\": 6}, {\"weight\": 10410, \"source\": 4, \"target\": 8}, {\"weight\": 10628, \"source\": 4, \"target\": 7}, {\"weight\": 10276, \"source\": 5, \"target\": 6}, {\"weight\": 1978, \"source\": 5, \"target\": 8}, {\"weight\": 5569, \"source\": 5, \"target\": 7}, {\"weight\": 8983, \"source\": 6, \"target\": 8}, {\"weight\": 10716, \"source\": 6, \"target\": 7}, {\"weight\": 6727, \"source\": 7, \"target\": 8}]}",
"id": 1231,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JHS, AQA, ZAG, NAS, BRD, HFE, YLL, NYA, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nJHS to HFE: 11396\nJHS to ZAG: 4683\nJHS to YLL: 7250\nJHS to NAS: 7610\nJHS to AQA: 13102\nJHS to BRD: 7162\nJHS to KCZ: 12378\nJHS to NYA: 6908\nAQA to HFE: 18537\nAQA to ZAG: 10197\nAQA to YLL: 11047\nAQA to NAS: 6808\nAQA to BRD: 9264\nAQA to KCZ: 19299\nAQA to NYA: 14000\nZAG to HFE: 8523\nZAG to YLL: 8625\nZAG to NAS: 8343\nZAG to BRD: 7965\nZAG to KCZ: 9634\nZAG to NYA: 3882\nNAS to HFE: 13554\nNAS to YLL: 4610\nNAS to BRD: 2811\nNAS to KCZ: 12846\nNAS to NYA: 11076\nBRD to HFE: 11714\nBRD to YLL: 2234\nBRD to KCZ: 10410\nBRD to NYA: 10628\nHFE to YLL: 10276\nHFE to KCZ: 1978\nHFE to NYA: 5569\nYLL to KCZ: 8983\nYLL to NYA: 10716\nNYA to KCZ: 6727\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CCV, OSM, LVI, TQL, DPO, DCN, VVO, RRS, IWK\n- Travel distances (in kilometers) between each pair of airports:\nCCV to LVI: 14629\nCCV to VVO: 8770\nCCV to IWK: 8906\nCCV to DCN: 7445\nCCV to DPO: 3763\nCCV to OSM: 16435\nCCV to RRS: 16525\nCCV to TQL: 14463\nOSM to LVI: 6730\nOSM to VVO: 9108\nOSM to IWK: 10764\nOSM to DCN: 13625\nOSM to DPO: 14883\nOSM to RRS: 4074\nOSM to TQL: 5606\nLVI to VVO: 12763\nLVI to IWK: 14166\nLVI to DCN: 11049\nLVI to DPO: 12379\nLVI to RRS: 9476\nLVI to TQL: 10736\nTQL to VVO: 5813\nTQL to IWK: 7876\nTQL to DCN: 14045\nTQL to DPO: 14370\nTQL to RRS: 4460\nDPO to VVO: 9691\nDPO to IWK: 9596\nDPO to DCN: 4892\nDPO to RRS: 16650\nDCN to VVO: 10411\nDCN to IWK: 10627\nDCN to RRS: 15951\nVVO to IWK: 2428\nVVO to RRS: 8040\nRRS to IWK: 9774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52115,
"style": "rule"
}
|
{
"exact_answer": 52115,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CCV\", \"id\": 0}, {\"name\": \"OSM\", \"id\": 1}, {\"name\": \"LVI\", \"id\": 2}, {\"name\": \"TQL\", \"id\": 3}, {\"name\": \"DPO\", \"id\": 4}, {\"name\": \"DCN\", \"id\": 5}, {\"name\": \"VVO\", \"id\": 6}, {\"name\": \"RRS\", \"id\": 7}, {\"name\": \"IWK\", \"id\": 8}], \"links\": [{\"weight\": 14629, \"source\": 0, \"target\": 2}, {\"weight\": 8770, \"source\": 0, \"target\": 6}, {\"weight\": 8906, \"source\": 0, \"target\": 8}, {\"weight\": 7445, \"source\": 0, \"target\": 5}, {\"weight\": 3763, \"source\": 0, \"target\": 4}, {\"weight\": 16435, \"source\": 0, \"target\": 1}, {\"weight\": 16525, \"source\": 0, \"target\": 7}, {\"weight\": 14463, \"source\": 0, \"target\": 3}, {\"weight\": 6730, \"source\": 1, \"target\": 2}, {\"weight\": 9108, \"source\": 1, \"target\": 6}, {\"weight\": 10764, \"source\": 1, \"target\": 8}, {\"weight\": 13625, \"source\": 1, \"target\": 5}, {\"weight\": 14883, \"source\": 1, \"target\": 4}, {\"weight\": 4074, \"source\": 1, \"target\": 7}, {\"weight\": 5606, \"source\": 1, \"target\": 3}, {\"weight\": 12763, \"source\": 2, \"target\": 6}, {\"weight\": 14166, \"source\": 2, \"target\": 8}, {\"weight\": 11049, \"source\": 2, \"target\": 5}, {\"weight\": 12379, \"source\": 2, \"target\": 4}, {\"weight\": 9476, \"source\": 2, \"target\": 7}, {\"weight\": 10736, \"source\": 2, \"target\": 3}, {\"weight\": 5813, \"source\": 3, \"target\": 6}, {\"weight\": 7876, \"source\": 3, \"target\": 8}, {\"weight\": 14045, \"source\": 3, \"target\": 5}, {\"weight\": 14370, \"source\": 3, \"target\": 4}, {\"weight\": 4460, \"source\": 3, \"target\": 7}, {\"weight\": 9691, \"source\": 4, \"target\": 6}, {\"weight\": 9596, \"source\": 4, \"target\": 8}, {\"weight\": 4892, \"source\": 4, \"target\": 5}, {\"weight\": 16650, \"source\": 4, \"target\": 7}, {\"weight\": 10411, \"source\": 5, \"target\": 6}, {\"weight\": 10627, \"source\": 5, \"target\": 8}, {\"weight\": 15951, \"source\": 5, \"target\": 7}, {\"weight\": 2428, \"source\": 6, \"target\": 8}, {\"weight\": 8040, \"source\": 6, \"target\": 7}, {\"weight\": 9774, \"source\": 7, \"target\": 8}]}",
"id": 1232,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CCV, OSM, LVI, TQL, DPO, DCN, VVO, RRS, IWK\n- Travel distances (in kilometers) between each pair of airports:\nCCV to LVI: 14629\nCCV to VVO: 8770\nCCV to IWK: 8906\nCCV to DCN: 7445\nCCV to DPO: 3763\nCCV to OSM: 16435\nCCV to RRS: 16525\nCCV to TQL: 14463\nOSM to LVI: 6730\nOSM to VVO: 9108\nOSM to IWK: 10764\nOSM to DCN: 13625\nOSM to DPO: 14883\nOSM to RRS: 4074\nOSM to TQL: 5606\nLVI to VVO: 12763\nLVI to IWK: 14166\nLVI to DCN: 11049\nLVI to DPO: 12379\nLVI to RRS: 9476\nLVI to TQL: 10736\nTQL to VVO: 5813\nTQL to IWK: 7876\nTQL to DCN: 14045\nTQL to DPO: 14370\nTQL to RRS: 4460\nDPO to VVO: 9691\nDPO to IWK: 9596\nDPO to DCN: 4892\nDPO to RRS: 16650\nDCN to VVO: 10411\nDCN to IWK: 10627\nDCN to RRS: 15951\nVVO to IWK: 2428\nVVO to RRS: 8040\nRRS to IWK: 9774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ALO, JUZ, UDJ, YPC, SBP, CEI, JZH, LUM\n- Travel distances (in kilometers) between each pair of airports:\nTRW to JZH: 8642\nTRW to LUM: 8896\nTRW to YPC: 12033\nTRW to ALO: 11526\nTRW to SBP: 8495\nTRW to JUZ: 7484\nTRW to CEI: 9098\nTRW to UDJ: 15141\nALO to JZH: 12373\nALO to LUM: 13361\nALO to YPC: 5192\nALO to SBP: 3426\nALO to JUZ: 12683\nALO to CEI: 13683\nALO to UDJ: 9150\nJUZ to JZH: 2215\nJUZ to LUM: 2454\nJUZ to YPC: 13315\nJUZ to SBP: 11498\nJUZ to CEI: 2656\nJUZ to UDJ: 8814\nUDJ to JZH: 7613\nUDJ to LUM: 8230\nUDJ to YPC: 11495\nUDJ to SBP: 11033\nUDJ to CEI: 8576\nYPC to JZH: 13275\nYPC to LUM: 14263\nYPC to SBP: 4715\nYPC to CEI: 14585\nSBP to JZH: 11236\nSBP to LUM: 12224\nSBP to CEI: 12546\nCEI to JZH: 1516\nCEI to LUM: 1064\nJZH to LUM: 1121\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47490,
"style": "rule"
}
|
{
"exact_answer": 47490,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRW\", \"id\": 0}, {\"name\": \"ALO\", \"id\": 1}, {\"name\": \"JUZ\", \"id\": 2}, {\"name\": \"UDJ\", \"id\": 3}, {\"name\": \"YPC\", \"id\": 4}, {\"name\": \"SBP\", \"id\": 5}, {\"name\": \"CEI\", \"id\": 6}, {\"name\": \"JZH\", \"id\": 7}, {\"name\": \"LUM\", \"id\": 8}], \"links\": [{\"weight\": 8642, \"source\": 0, \"target\": 7}, {\"weight\": 8896, \"source\": 0, \"target\": 8}, {\"weight\": 12033, \"source\": 0, \"target\": 4}, {\"weight\": 11526, \"source\": 0, \"target\": 1}, {\"weight\": 8495, \"source\": 0, \"target\": 5}, {\"weight\": 7484, \"source\": 0, \"target\": 2}, {\"weight\": 9098, \"source\": 0, \"target\": 6}, {\"weight\": 15141, \"source\": 0, \"target\": 3}, {\"weight\": 12373, \"source\": 1, \"target\": 7}, {\"weight\": 13361, \"source\": 1, \"target\": 8}, {\"weight\": 5192, \"source\": 1, \"target\": 4}, {\"weight\": 3426, \"source\": 1, \"target\": 5}, {\"weight\": 12683, \"source\": 1, \"target\": 2}, {\"weight\": 13683, \"source\": 1, \"target\": 6}, {\"weight\": 9150, \"source\": 1, \"target\": 3}, {\"weight\": 2215, \"source\": 2, \"target\": 7}, {\"weight\": 2454, \"source\": 2, \"target\": 8}, {\"weight\": 13315, \"source\": 2, \"target\": 4}, {\"weight\": 11498, \"source\": 2, \"target\": 5}, {\"weight\": 2656, \"source\": 2, \"target\": 6}, {\"weight\": 8814, \"source\": 2, \"target\": 3}, {\"weight\": 7613, \"source\": 3, \"target\": 7}, {\"weight\": 8230, \"source\": 3, \"target\": 8}, {\"weight\": 11495, \"source\": 3, \"target\": 4}, {\"weight\": 11033, \"source\": 3, \"target\": 5}, {\"weight\": 8576, \"source\": 3, \"target\": 6}, {\"weight\": 13275, \"source\": 4, \"target\": 7}, {\"weight\": 14263, \"source\": 4, \"target\": 8}, {\"weight\": 4715, \"source\": 4, \"target\": 5}, {\"weight\": 14585, \"source\": 4, \"target\": 6}, {\"weight\": 11236, \"source\": 5, \"target\": 7}, {\"weight\": 12224, \"source\": 5, \"target\": 8}, {\"weight\": 12546, \"source\": 5, \"target\": 6}, {\"weight\": 1516, \"source\": 6, \"target\": 7}, {\"weight\": 1064, \"source\": 6, \"target\": 8}, {\"weight\": 1121, \"source\": 7, \"target\": 8}]}",
"id": 1233,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ALO, JUZ, UDJ, YPC, SBP, CEI, JZH, LUM\n- Travel distances (in kilometers) between each pair of airports:\nTRW to JZH: 8642\nTRW to LUM: 8896\nTRW to YPC: 12033\nTRW to ALO: 11526\nTRW to SBP: 8495\nTRW to JUZ: 7484\nTRW to CEI: 9098\nTRW to UDJ: 15141\nALO to JZH: 12373\nALO to LUM: 13361\nALO to YPC: 5192\nALO to SBP: 3426\nALO to JUZ: 12683\nALO to CEI: 13683\nALO to UDJ: 9150\nJUZ to JZH: 2215\nJUZ to LUM: 2454\nJUZ to YPC: 13315\nJUZ to SBP: 11498\nJUZ to CEI: 2656\nJUZ to UDJ: 8814\nUDJ to JZH: 7613\nUDJ to LUM: 8230\nUDJ to YPC: 11495\nUDJ to SBP: 11033\nUDJ to CEI: 8576\nYPC to JZH: 13275\nYPC to LUM: 14263\nYPC to SBP: 4715\nYPC to CEI: 14585\nSBP to JZH: 11236\nSBP to LUM: 12224\nSBP to CEI: 12546\nCEI to JZH: 1516\nCEI to LUM: 1064\nJZH to LUM: 1121\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JHS, WJU, QOW, TAI, THS, SUX, PHB, YVR, CZX\n- Travel distances (in kilometers) between each pair of airports:\nJHS to CZX: 11423\nJHS to YVR: 7451\nJHS to SUX: 7290\nJHS to PHB: 10985\nJHS to TAI: 8955\nJHS to WJU: 12071\nJHS to THS: 12479\nJHS to QOW: 8787\nWJU to CZX: 2005\nWJU to YVR: 9095\nWJU to SUX: 12114\nWJU to PHB: 17236\nWJU to TAI: 9192\nWJU to THS: 4272\nWJU to QOW: 12963\nQOW to CZX: 12058\nQOW to YVR: 12750\nQOW to SUX: 10778\nQOW to PHB: 6566\nQOW to TAI: 4676\nQOW to THS: 10994\nTAI to CZX: 8055\nTAI to YVR: 13209\nTAI to SUX: 12819\nTAI to PHB: 10615\nTAI to THS: 6700\nTHS to CZX: 3223\nTHS to YVR: 12215\nTHS to SUX: 14984\nTHS to PHB: 16599\nSUX to CZX: 12211\nSUX to YVR: 3530\nSUX to PHB: 8028\nPHB to CZX: 16588\nPHB to YVR: 10160\nYVR to CZX: 9131\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54070,
"style": "rule"
}
|
{
"exact_answer": 54070,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JHS\", \"id\": 0}, {\"name\": \"WJU\", \"id\": 1}, {\"name\": \"QOW\", \"id\": 2}, {\"name\": \"TAI\", \"id\": 3}, {\"name\": \"THS\", \"id\": 4}, {\"name\": \"SUX\", \"id\": 5}, {\"name\": \"PHB\", \"id\": 6}, {\"name\": \"YVR\", \"id\": 7}, {\"name\": \"CZX\", \"id\": 8}], \"links\": [{\"weight\": 11423, \"source\": 0, \"target\": 8}, {\"weight\": 7451, \"source\": 0, \"target\": 7}, {\"weight\": 7290, \"source\": 0, \"target\": 5}, {\"weight\": 10985, \"source\": 0, \"target\": 6}, {\"weight\": 8955, \"source\": 0, \"target\": 3}, {\"weight\": 12071, \"source\": 0, \"target\": 1}, {\"weight\": 12479, \"source\": 0, \"target\": 4}, {\"weight\": 8787, \"source\": 0, \"target\": 2}, {\"weight\": 2005, \"source\": 1, \"target\": 8}, {\"weight\": 9095, \"source\": 1, \"target\": 7}, {\"weight\": 12114, \"source\": 1, \"target\": 5}, {\"weight\": 17236, \"source\": 1, \"target\": 6}, {\"weight\": 9192, \"source\": 1, \"target\": 3}, {\"weight\": 4272, \"source\": 1, \"target\": 4}, {\"weight\": 12963, \"source\": 1, \"target\": 2}, {\"weight\": 12058, \"source\": 2, \"target\": 8}, {\"weight\": 12750, \"source\": 2, \"target\": 7}, {\"weight\": 10778, \"source\": 2, \"target\": 5}, {\"weight\": 6566, \"source\": 2, \"target\": 6}, {\"weight\": 4676, \"source\": 2, \"target\": 3}, {\"weight\": 10994, \"source\": 2, \"target\": 4}, {\"weight\": 8055, \"source\": 3, \"target\": 8}, {\"weight\": 13209, \"source\": 3, \"target\": 7}, {\"weight\": 12819, \"source\": 3, \"target\": 5}, {\"weight\": 10615, \"source\": 3, \"target\": 6}, {\"weight\": 6700, \"source\": 3, \"target\": 4}, {\"weight\": 3223, \"source\": 4, \"target\": 8}, {\"weight\": 12215, \"source\": 4, \"target\": 7}, {\"weight\": 14984, \"source\": 4, \"target\": 5}, {\"weight\": 16599, \"source\": 4, \"target\": 6}, {\"weight\": 12211, \"source\": 5, \"target\": 8}, {\"weight\": 3530, \"source\": 5, \"target\": 7}, {\"weight\": 8028, \"source\": 5, \"target\": 6}, {\"weight\": 16588, \"source\": 6, \"target\": 8}, {\"weight\": 10160, \"source\": 6, \"target\": 7}, {\"weight\": 9131, \"source\": 7, \"target\": 8}]}",
"id": 1234,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JHS, WJU, QOW, TAI, THS, SUX, PHB, YVR, CZX\n- Travel distances (in kilometers) between each pair of airports:\nJHS to CZX: 11423\nJHS to YVR: 7451\nJHS to SUX: 7290\nJHS to PHB: 10985\nJHS to TAI: 8955\nJHS to WJU: 12071\nJHS to THS: 12479\nJHS to QOW: 8787\nWJU to CZX: 2005\nWJU to YVR: 9095\nWJU to SUX: 12114\nWJU to PHB: 17236\nWJU to TAI: 9192\nWJU to THS: 4272\nWJU to QOW: 12963\nQOW to CZX: 12058\nQOW to YVR: 12750\nQOW to SUX: 10778\nQOW to PHB: 6566\nQOW to TAI: 4676\nQOW to THS: 10994\nTAI to CZX: 8055\nTAI to YVR: 13209\nTAI to SUX: 12819\nTAI to PHB: 10615\nTAI to THS: 6700\nTHS to CZX: 3223\nTHS to YVR: 12215\nTHS to SUX: 14984\nTHS to PHB: 16599\nSUX to CZX: 12211\nSUX to YVR: 3530\nSUX to PHB: 8028\nPHB to CZX: 16588\nPHB to YVR: 10160\nYVR to CZX: 9131\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZO, DKR, SFT, BUN, JHW, KGL, AAR, EWN, KHS\n- Travel distances (in kilometers) between each pair of airports:\nIZO to DKR: 14555\nIZO to BUN: 15264\nIZO to EWN: 12331\nIZO to KGL: 12587\nIZO to AAR: 9621\nIZO to SFT: 9639\nIZO to JHW: 11714\nIZO to KHS: 8785\nDKR to BUN: 8283\nDKR to EWN: 7272\nDKR to KGL: 5569\nDKR to AAR: 5216\nDKR to SFT: 6273\nDKR to JHW: 7032\nDKR to KHS: 8316\nSFT to BUN: 10768\nSFT to EWN: 8083\nSFT to KGL: 7554\nSFT to AAR: 1151\nSFT to JHW: 7428\nSFT to KHS: 6011\nBUN to EWN: 4164\nBUN to KGL: 13301\nBUN to AAR: 9814\nBUN to JHW: 4733\nBUN to KHS: 14693\nJHW to EWN: 1277\nJHW to KGL: 12480\nJHW to AAR: 6715\nJHW to KHS: 12287\nKGL to EWN: 12792\nKGL to AAR: 6920\nKGL to KHS: 4535\nAAR to EWN: 7370\nAAR to KHS: 5665\nEWN to KHS: 12922\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50118,
"style": "rule"
}
|
{
"exact_answer": 50118,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IZO\", \"id\": 0}, {\"name\": \"DKR\", \"id\": 1}, {\"name\": \"SFT\", \"id\": 2}, {\"name\": \"BUN\", \"id\": 3}, {\"name\": \"JHW\", \"id\": 4}, {\"name\": \"KGL\", \"id\": 5}, {\"name\": \"AAR\", \"id\": 6}, {\"name\": \"EWN\", \"id\": 7}, {\"name\": \"KHS\", \"id\": 8}], \"links\": [{\"weight\": 14555, \"source\": 0, \"target\": 1}, {\"weight\": 15264, \"source\": 0, \"target\": 3}, {\"weight\": 12331, \"source\": 0, \"target\": 7}, {\"weight\": 12587, \"source\": 0, \"target\": 5}, {\"weight\": 9621, \"source\": 0, \"target\": 6}, {\"weight\": 9639, \"source\": 0, \"target\": 2}, {\"weight\": 11714, \"source\": 0, \"target\": 4}, {\"weight\": 8785, \"source\": 0, \"target\": 8}, {\"weight\": 8283, \"source\": 1, \"target\": 3}, {\"weight\": 7272, \"source\": 1, \"target\": 7}, {\"weight\": 5569, \"source\": 1, \"target\": 5}, {\"weight\": 5216, \"source\": 1, \"target\": 6}, {\"weight\": 6273, \"source\": 1, \"target\": 2}, {\"weight\": 7032, \"source\": 1, \"target\": 4}, {\"weight\": 8316, \"source\": 1, \"target\": 8}, {\"weight\": 10768, \"source\": 2, \"target\": 3}, {\"weight\": 8083, \"source\": 2, \"target\": 7}, {\"weight\": 7554, \"source\": 2, \"target\": 5}, {\"weight\": 1151, \"source\": 2, \"target\": 6}, {\"weight\": 7428, \"source\": 2, \"target\": 4}, {\"weight\": 6011, \"source\": 2, \"target\": 8}, {\"weight\": 4164, \"source\": 3, \"target\": 7}, {\"weight\": 13301, \"source\": 3, \"target\": 5}, {\"weight\": 9814, \"source\": 3, \"target\": 6}, {\"weight\": 4733, \"source\": 3, \"target\": 4}, {\"weight\": 14693, \"source\": 3, \"target\": 8}, {\"weight\": 1277, \"source\": 4, \"target\": 7}, {\"weight\": 12480, \"source\": 4, \"target\": 5}, {\"weight\": 6715, \"source\": 4, \"target\": 6}, {\"weight\": 12287, \"source\": 4, \"target\": 8}, {\"weight\": 12792, \"source\": 5, \"target\": 7}, {\"weight\": 6920, \"source\": 5, \"target\": 6}, {\"weight\": 4535, \"source\": 5, \"target\": 8}, {\"weight\": 7370, \"source\": 6, \"target\": 7}, {\"weight\": 5665, \"source\": 6, \"target\": 8}, {\"weight\": 12922, \"source\": 7, \"target\": 8}]}",
"id": 1235,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZO, DKR, SFT, BUN, JHW, KGL, AAR, EWN, KHS\n- Travel distances (in kilometers) between each pair of airports:\nIZO to DKR: 14555\nIZO to BUN: 15264\nIZO to EWN: 12331\nIZO to KGL: 12587\nIZO to AAR: 9621\nIZO to SFT: 9639\nIZO to JHW: 11714\nIZO to KHS: 8785\nDKR to BUN: 8283\nDKR to EWN: 7272\nDKR to KGL: 5569\nDKR to AAR: 5216\nDKR to SFT: 6273\nDKR to JHW: 7032\nDKR to KHS: 8316\nSFT to BUN: 10768\nSFT to EWN: 8083\nSFT to KGL: 7554\nSFT to AAR: 1151\nSFT to JHW: 7428\nSFT to KHS: 6011\nBUN to EWN: 4164\nBUN to KGL: 13301\nBUN to AAR: 9814\nBUN to JHW: 4733\nBUN to KHS: 14693\nJHW to EWN: 1277\nJHW to KGL: 12480\nJHW to AAR: 6715\nJHW to KHS: 12287\nKGL to EWN: 12792\nKGL to AAR: 6920\nKGL to KHS: 4535\nAAR to EWN: 7370\nAAR to KHS: 5665\nEWN to KHS: 12922\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, TAC, SAN, BVA, HEA, AGA, PPV, DWC, BQK\n- Travel distances (in kilometers) between each pair of airports:\nLBP to DWC: 7135\nLBP to HEA: 6725\nLBP to TAC: 1741\nLBP to BVA: 11722\nLBP to SAN: 13491\nLBP to BQK: 16012\nLBP to AGA: 13428\nLBP to PPV: 13534\nTAC to DWC: 7494\nTAC to HEA: 6986\nTAC to BVA: 11303\nTAC to SAN: 12356\nTAC to BQK: 14817\nTAC to AGA: 13349\nTAC to PPV: 12339\nSAN to DWC: 13681\nSAN to HEA: 13833\nSAN to BVA: 9111\nSAN to BQK: 3420\nSAN to AGA: 10012\nSAN to PPV: 2944\nBVA to DWC: 5298\nBVA to HEA: 5311\nBVA to BQK: 7399\nBVA to AGA: 2339\nBVA to PPV: 9245\nHEA to DWC: 2131\nHEA to BQK: 12685\nHEA to AGA: 6727\nHEA to PPV: 14234\nAGA to DWC: 6466\nAGA to BQK: 7778\nAGA to PPV: 11036\nPPV to DWC: 13873\nPPV to BQK: 5139\nDWC to BQK: 12627\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44715,
"style": "rule"
}
|
{
"exact_answer": 44715,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LBP\", \"id\": 0}, {\"name\": \"TAC\", \"id\": 1}, {\"name\": \"SAN\", \"id\": 2}, {\"name\": \"BVA\", \"id\": 3}, {\"name\": \"HEA\", \"id\": 4}, {\"name\": \"AGA\", \"id\": 5}, {\"name\": \"PPV\", \"id\": 6}, {\"name\": \"DWC\", \"id\": 7}, {\"name\": \"BQK\", \"id\": 8}], \"links\": [{\"weight\": 7135, \"source\": 0, \"target\": 7}, {\"weight\": 6725, \"source\": 0, \"target\": 4}, {\"weight\": 1741, \"source\": 0, \"target\": 1}, {\"weight\": 11722, \"source\": 0, \"target\": 3}, {\"weight\": 13491, \"source\": 0, \"target\": 2}, {\"weight\": 16012, \"source\": 0, \"target\": 8}, {\"weight\": 13428, \"source\": 0, \"target\": 5}, {\"weight\": 13534, \"source\": 0, \"target\": 6}, {\"weight\": 7494, \"source\": 1, \"target\": 7}, {\"weight\": 6986, \"source\": 1, \"target\": 4}, {\"weight\": 11303, \"source\": 1, \"target\": 3}, {\"weight\": 12356, \"source\": 1, \"target\": 2}, {\"weight\": 14817, \"source\": 1, \"target\": 8}, {\"weight\": 13349, \"source\": 1, \"target\": 5}, {\"weight\": 12339, \"source\": 1, \"target\": 6}, {\"weight\": 13681, \"source\": 2, \"target\": 7}, {\"weight\": 13833, \"source\": 2, \"target\": 4}, {\"weight\": 9111, \"source\": 2, \"target\": 3}, {\"weight\": 3420, \"source\": 2, \"target\": 8}, {\"weight\": 10012, \"source\": 2, \"target\": 5}, {\"weight\": 2944, \"source\": 2, \"target\": 6}, {\"weight\": 5298, \"source\": 3, \"target\": 7}, {\"weight\": 5311, \"source\": 3, \"target\": 4}, {\"weight\": 7399, \"source\": 3, \"target\": 8}, {\"weight\": 2339, \"source\": 3, \"target\": 5}, {\"weight\": 9245, \"source\": 3, \"target\": 6}, {\"weight\": 2131, \"source\": 4, \"target\": 7}, {\"weight\": 12685, \"source\": 4, \"target\": 8}, {\"weight\": 6727, \"source\": 4, \"target\": 5}, {\"weight\": 14234, \"source\": 4, \"target\": 6}, {\"weight\": 6466, \"source\": 5, \"target\": 7}, {\"weight\": 7778, \"source\": 5, \"target\": 8}, {\"weight\": 11036, \"source\": 5, \"target\": 6}, {\"weight\": 13873, \"source\": 6, \"target\": 7}, {\"weight\": 5139, \"source\": 6, \"target\": 8}, {\"weight\": 12627, \"source\": 7, \"target\": 8}]}",
"id": 1236,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, TAC, SAN, BVA, HEA, AGA, PPV, DWC, BQK\n- Travel distances (in kilometers) between each pair of airports:\nLBP to DWC: 7135\nLBP to HEA: 6725\nLBP to TAC: 1741\nLBP to BVA: 11722\nLBP to SAN: 13491\nLBP to BQK: 16012\nLBP to AGA: 13428\nLBP to PPV: 13534\nTAC to DWC: 7494\nTAC to HEA: 6986\nTAC to BVA: 11303\nTAC to SAN: 12356\nTAC to BQK: 14817\nTAC to AGA: 13349\nTAC to PPV: 12339\nSAN to DWC: 13681\nSAN to HEA: 13833\nSAN to BVA: 9111\nSAN to BQK: 3420\nSAN to AGA: 10012\nSAN to PPV: 2944\nBVA to DWC: 5298\nBVA to HEA: 5311\nBVA to BQK: 7399\nBVA to AGA: 2339\nBVA to PPV: 9245\nHEA to DWC: 2131\nHEA to BQK: 12685\nHEA to AGA: 6727\nHEA to PPV: 14234\nAGA to DWC: 6466\nAGA to BQK: 7778\nAGA to PPV: 11036\nPPV to DWC: 13873\nPPV to BQK: 5139\nDWC to BQK: 12627\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZH, GTR, KTB, MTM, INN, BHY, FLA, NVI, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nCZH to KTB: 5847\nCZH to MTM: 5810\nCZH to NVI: 13203\nCZH to BHY: 15408\nCZH to FLA: 2659\nCZH to INN: 9456\nCZH to GTR: 2339\nCZH to KCQ: 7690\nGTR to KTB: 5045\nGTR to MTM: 5008\nGTR to NVI: 11734\nGTR to BHY: 14097\nGTR to FLA: 4154\nGTR to INN: 8115\nGTR to KCQ: 6648\nKTB to MTM: 89\nKTB to NVI: 12962\nKTB to BHY: 11960\nKTB to FLA: 8133\nKTB to INN: 9721\nKTB to KCQ: 2115\nMTM to NVI: 12925\nMTM to BHY: 11923\nMTM to FLA: 8096\nMTM to INN: 9684\nMTM to KCQ: 2078\nINN to NVI: 4693\nINN to BHY: 9000\nINN to FLA: 9835\nINN to KCQ: 11652\nBHY to NVI: 5093\nBHY to FLA: 17477\nBHY to KCQ: 13891\nFLA to NVI: 13963\nFLA to KCQ: 9969\nNVI to KCQ: 14893\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45394,
"style": "rule"
}
|
{
"exact_answer": 45394,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZH\", \"id\": 0}, {\"name\": \"GTR\", \"id\": 1}, {\"name\": \"KTB\", \"id\": 2}, {\"name\": \"MTM\", \"id\": 3}, {\"name\": \"INN\", \"id\": 4}, {\"name\": \"BHY\", \"id\": 5}, {\"name\": \"FLA\", \"id\": 6}, {\"name\": \"NVI\", \"id\": 7}, {\"name\": \"KCQ\", \"id\": 8}], \"links\": [{\"weight\": 5847, \"source\": 0, \"target\": 2}, {\"weight\": 5810, \"source\": 0, \"target\": 3}, {\"weight\": 13203, \"source\": 0, \"target\": 7}, {\"weight\": 15408, \"source\": 0, \"target\": 5}, {\"weight\": 2659, \"source\": 0, \"target\": 6}, {\"weight\": 9456, \"source\": 0, \"target\": 4}, {\"weight\": 2339, \"source\": 0, \"target\": 1}, {\"weight\": 7690, \"source\": 0, \"target\": 8}, {\"weight\": 5045, \"source\": 1, \"target\": 2}, {\"weight\": 5008, \"source\": 1, \"target\": 3}, {\"weight\": 11734, \"source\": 1, \"target\": 7}, {\"weight\": 14097, \"source\": 1, \"target\": 5}, {\"weight\": 4154, \"source\": 1, \"target\": 6}, {\"weight\": 8115, \"source\": 1, \"target\": 4}, {\"weight\": 6648, \"source\": 1, \"target\": 8}, {\"weight\": 89, \"source\": 2, \"target\": 3}, {\"weight\": 12962, \"source\": 2, \"target\": 7}, {\"weight\": 11960, \"source\": 2, \"target\": 5}, {\"weight\": 8133, \"source\": 2, \"target\": 6}, {\"weight\": 9721, \"source\": 2, \"target\": 4}, {\"weight\": 2115, \"source\": 2, \"target\": 8}, {\"weight\": 12925, \"source\": 3, \"target\": 7}, {\"weight\": 11923, \"source\": 3, \"target\": 5}, {\"weight\": 8096, \"source\": 3, \"target\": 6}, {\"weight\": 9684, \"source\": 3, \"target\": 4}, {\"weight\": 2078, \"source\": 3, \"target\": 8}, {\"weight\": 4693, \"source\": 4, \"target\": 7}, {\"weight\": 9000, \"source\": 4, \"target\": 5}, {\"weight\": 9835, \"source\": 4, \"target\": 6}, {\"weight\": 11652, \"source\": 4, \"target\": 8}, {\"weight\": 5093, \"source\": 5, \"target\": 7}, {\"weight\": 17477, \"source\": 5, \"target\": 6}, {\"weight\": 13891, \"source\": 5, \"target\": 8}, {\"weight\": 13963, \"source\": 6, \"target\": 7}, {\"weight\": 9969, \"source\": 6, \"target\": 8}, {\"weight\": 14893, \"source\": 7, \"target\": 8}]}",
"id": 1237,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZH, GTR, KTB, MTM, INN, BHY, FLA, NVI, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nCZH to KTB: 5847\nCZH to MTM: 5810\nCZH to NVI: 13203\nCZH to BHY: 15408\nCZH to FLA: 2659\nCZH to INN: 9456\nCZH to GTR: 2339\nCZH to KCQ: 7690\nGTR to KTB: 5045\nGTR to MTM: 5008\nGTR to NVI: 11734\nGTR to BHY: 14097\nGTR to FLA: 4154\nGTR to INN: 8115\nGTR to KCQ: 6648\nKTB to MTM: 89\nKTB to NVI: 12962\nKTB to BHY: 11960\nKTB to FLA: 8133\nKTB to INN: 9721\nKTB to KCQ: 2115\nMTM to NVI: 12925\nMTM to BHY: 11923\nMTM to FLA: 8096\nMTM to INN: 9684\nMTM to KCQ: 2078\nINN to NVI: 4693\nINN to BHY: 9000\nINN to FLA: 9835\nINN to KCQ: 11652\nBHY to NVI: 5093\nBHY to FLA: 17477\nBHY to KCQ: 13891\nFLA to NVI: 13963\nFLA to KCQ: 9969\nNVI to KCQ: 14893\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YNT, ANG, SML, AEX, IRG, MPM, VTE, UYN, URS\n- Travel distances (in kilometers) between each pair of airports:\nYNT to UYN: 1067\nYNT to AEX: 11782\nYNT to VTE: 2853\nYNT to MPM: 12429\nYNT to ANG: 9973\nYNT to SML: 13355\nYNT to IRG: 7578\nYNT to URS: 6758\nANG to UYN: 9936\nANG to AEX: 9569\nANG to VTE: 10764\nANG to MPM: 10018\nANG to SML: 9430\nANG to IRG: 16812\nANG to URS: 4084\nSML to UYN: 13530\nSML to AEX: 2247\nSML to VTE: 15732\nSML to MPM: 14541\nSML to IRG: 17646\nSML to URS: 9964\nAEX to UYN: 12392\nAEX to VTE: 14594\nAEX to MPM: 14817\nAEX to IRG: 15738\nAEX to URS: 9916\nIRG to UYN: 7968\nIRG to VTE: 7396\nIRG to MPM: 12700\nIRG to URS: 13762\nMPM to UYN: 11681\nMPM to VTE: 9945\nMPM to URS: 9593\nVTE to UYN: 2394\nVTE to URS: 7877\nUYN to URS: 6873\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60693,
"style": "rule"
}
|
{
"exact_answer": 60693,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YNT\", \"id\": 0}, {\"name\": \"ANG\", \"id\": 1}, {\"name\": \"SML\", \"id\": 2}, {\"name\": \"AEX\", \"id\": 3}, {\"name\": \"IRG\", \"id\": 4}, {\"name\": \"MPM\", \"id\": 5}, {\"name\": \"VTE\", \"id\": 6}, {\"name\": \"UYN\", \"id\": 7}, {\"name\": \"URS\", \"id\": 8}], \"links\": [{\"weight\": 1067, \"source\": 0, \"target\": 7}, {\"weight\": 11782, \"source\": 0, \"target\": 3}, {\"weight\": 2853, \"source\": 0, \"target\": 6}, {\"weight\": 12429, \"source\": 0, \"target\": 5}, {\"weight\": 9973, \"source\": 0, \"target\": 1}, {\"weight\": 13355, \"source\": 0, \"target\": 2}, {\"weight\": 7578, \"source\": 0, \"target\": 4}, {\"weight\": 6758, \"source\": 0, \"target\": 8}, {\"weight\": 9936, \"source\": 1, \"target\": 7}, {\"weight\": 9569, \"source\": 1, \"target\": 3}, {\"weight\": 10764, \"source\": 1, \"target\": 6}, {\"weight\": 10018, \"source\": 1, \"target\": 5}, {\"weight\": 9430, \"source\": 1, \"target\": 2}, {\"weight\": 16812, \"source\": 1, \"target\": 4}, {\"weight\": 4084, \"source\": 1, \"target\": 8}, {\"weight\": 13530, \"source\": 2, \"target\": 7}, {\"weight\": 2247, \"source\": 2, \"target\": 3}, {\"weight\": 15732, \"source\": 2, \"target\": 6}, {\"weight\": 14541, \"source\": 2, \"target\": 5}, {\"weight\": 17646, \"source\": 2, \"target\": 4}, {\"weight\": 9964, \"source\": 2, \"target\": 8}, {\"weight\": 12392, \"source\": 3, \"target\": 7}, {\"weight\": 14594, \"source\": 3, \"target\": 6}, {\"weight\": 14817, \"source\": 3, \"target\": 5}, {\"weight\": 15738, \"source\": 3, \"target\": 4}, {\"weight\": 9916, \"source\": 3, \"target\": 8}, {\"weight\": 7968, \"source\": 4, \"target\": 7}, {\"weight\": 7396, \"source\": 4, \"target\": 6}, {\"weight\": 12700, \"source\": 4, \"target\": 5}, {\"weight\": 13762, \"source\": 4, \"target\": 8}, {\"weight\": 11681, \"source\": 5, \"target\": 7}, {\"weight\": 9945, \"source\": 5, \"target\": 6}, {\"weight\": 9593, \"source\": 5, \"target\": 8}, {\"weight\": 2394, \"source\": 6, \"target\": 7}, {\"weight\": 7877, \"source\": 6, \"target\": 8}, {\"weight\": 6873, \"source\": 7, \"target\": 8}]}",
"id": 1238,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YNT, ANG, SML, AEX, IRG, MPM, VTE, UYN, URS\n- Travel distances (in kilometers) between each pair of airports:\nYNT to UYN: 1067\nYNT to AEX: 11782\nYNT to VTE: 2853\nYNT to MPM: 12429\nYNT to ANG: 9973\nYNT to SML: 13355\nYNT to IRG: 7578\nYNT to URS: 6758\nANG to UYN: 9936\nANG to AEX: 9569\nANG to VTE: 10764\nANG to MPM: 10018\nANG to SML: 9430\nANG to IRG: 16812\nANG to URS: 4084\nSML to UYN: 13530\nSML to AEX: 2247\nSML to VTE: 15732\nSML to MPM: 14541\nSML to IRG: 17646\nSML to URS: 9964\nAEX to UYN: 12392\nAEX to VTE: 14594\nAEX to MPM: 14817\nAEX to IRG: 15738\nAEX to URS: 9916\nIRG to UYN: 7968\nIRG to VTE: 7396\nIRG to MPM: 12700\nIRG to URS: 13762\nMPM to UYN: 11681\nMPM to VTE: 9945\nMPM to URS: 9593\nVTE to UYN: 2394\nVTE to URS: 7877\nUYN to URS: 6873\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, VRA, AFL, CCF, BOH, KWL, UIH, KVK, MUE\n- Travel distances (in kilometers) between each pair of airports:\nLGI to KWL: 14708\nLGI to VRA: 1290\nLGI to AFL: 6885\nLGI to KVK: 10958\nLGI to BOH: 7555\nLGI to CCF: 8375\nLGI to MUE: 8463\nLGI to UIH: 16158\nVRA to KWL: 14622\nVRA to AFL: 6953\nVRA to KVK: 10957\nVRA to BOH: 7982\nVRA to CCF: 8815\nVRA to MUE: 8125\nVRA to UIH: 16072\nAFL to KWL: 19341\nAFL to KVK: 14090\nAFL to BOH: 10323\nAFL to CCF: 10019\nAFL to MUE: 14029\nAFL to UIH: 19406\nCCF to BOH: 897\nCCF to KWL: 9719\nCCF to KVK: 4475\nCCF to MUE: 13000\nCCF to UIH: 10674\nBOH to KWL: 9768\nBOH to KVK: 4611\nBOH to MUE: 12222\nBOH to UIH: 10801\nKWL to KVK: 8206\nKWL to MUE: 9528\nKWL to UIH: 1513\nUIH to KVK: 8941\nUIH to MUE: 10851\nKVK to MUE: 14808\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51809,
"style": "rule"
}
|
{
"exact_answer": 51809,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LGI\", \"id\": 0}, {\"name\": \"VRA\", \"id\": 1}, {\"name\": \"AFL\", \"id\": 2}, {\"name\": \"CCF\", \"id\": 3}, {\"name\": \"BOH\", \"id\": 4}, {\"name\": \"KWL\", \"id\": 5}, {\"name\": \"UIH\", \"id\": 6}, {\"name\": \"KVK\", \"id\": 7}, {\"name\": \"MUE\", \"id\": 8}], \"links\": [{\"weight\": 14708, \"source\": 0, \"target\": 5}, {\"weight\": 1290, \"source\": 0, \"target\": 1}, {\"weight\": 6885, \"source\": 0, \"target\": 2}, {\"weight\": 10958, \"source\": 0, \"target\": 7}, {\"weight\": 7555, \"source\": 0, \"target\": 4}, {\"weight\": 8375, \"source\": 0, \"target\": 3}, {\"weight\": 8463, \"source\": 0, \"target\": 8}, {\"weight\": 16158, \"source\": 0, \"target\": 6}, {\"weight\": 14622, \"source\": 1, \"target\": 5}, {\"weight\": 6953, \"source\": 1, \"target\": 2}, {\"weight\": 10957, \"source\": 1, \"target\": 7}, {\"weight\": 7982, \"source\": 1, \"target\": 4}, {\"weight\": 8815, \"source\": 1, \"target\": 3}, {\"weight\": 8125, \"source\": 1, \"target\": 8}, {\"weight\": 16072, \"source\": 1, \"target\": 6}, {\"weight\": 19341, \"source\": 2, \"target\": 5}, {\"weight\": 14090, \"source\": 2, \"target\": 7}, {\"weight\": 10323, \"source\": 2, \"target\": 4}, {\"weight\": 10019, \"source\": 2, \"target\": 3}, {\"weight\": 14029, \"source\": 2, \"target\": 8}, {\"weight\": 19406, \"source\": 2, \"target\": 6}, {\"weight\": 897, \"source\": 3, \"target\": 4}, {\"weight\": 9719, \"source\": 3, \"target\": 5}, {\"weight\": 4475, \"source\": 3, \"target\": 7}, {\"weight\": 13000, \"source\": 3, \"target\": 8}, {\"weight\": 10674, \"source\": 3, \"target\": 6}, {\"weight\": 9768, \"source\": 4, \"target\": 5}, {\"weight\": 4611, \"source\": 4, \"target\": 7}, {\"weight\": 12222, \"source\": 4, \"target\": 8}, {\"weight\": 10801, \"source\": 4, \"target\": 6}, {\"weight\": 8206, \"source\": 5, \"target\": 7}, {\"weight\": 9528, \"source\": 5, \"target\": 8}, {\"weight\": 1513, \"source\": 5, \"target\": 6}, {\"weight\": 8941, \"source\": 6, \"target\": 7}, {\"weight\": 10851, \"source\": 6, \"target\": 8}, {\"weight\": 14808, \"source\": 7, \"target\": 8}]}",
"id": 1239,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, VRA, AFL, CCF, BOH, KWL, UIH, KVK, MUE\n- Travel distances (in kilometers) between each pair of airports:\nLGI to KWL: 14708\nLGI to VRA: 1290\nLGI to AFL: 6885\nLGI to KVK: 10958\nLGI to BOH: 7555\nLGI to CCF: 8375\nLGI to MUE: 8463\nLGI to UIH: 16158\nVRA to KWL: 14622\nVRA to AFL: 6953\nVRA to KVK: 10957\nVRA to BOH: 7982\nVRA to CCF: 8815\nVRA to MUE: 8125\nVRA to UIH: 16072\nAFL to KWL: 19341\nAFL to KVK: 14090\nAFL to BOH: 10323\nAFL to CCF: 10019\nAFL to MUE: 14029\nAFL to UIH: 19406\nCCF to BOH: 897\nCCF to KWL: 9719\nCCF to KVK: 4475\nCCF to MUE: 13000\nCCF to UIH: 10674\nBOH to KWL: 9768\nBOH to KVK: 4611\nBOH to MUE: 12222\nBOH to UIH: 10801\nKWL to KVK: 8206\nKWL to MUE: 9528\nKWL to UIH: 1513\nUIH to KVK: 8941\nUIH to MUE: 10851\nKVK to MUE: 14808\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PMY, IRJ, IMP, VIL, YOP, GPS, VAN, UTS, LBB\n- Travel distances (in kilometers) between each pair of airports:\nPMY to YOP: 12973\nPMY to LBB: 10046\nPMY to IMP: 4650\nPMY to IRJ: 2056\nPMY to VIL: 9894\nPMY to GPS: 6555\nPMY to VAN: 14607\nPMY to UTS: 15853\nIRJ to YOP: 12871\nIRJ to LBB: 9944\nIRJ to IMP: 4548\nIRJ to VIL: 9792\nIRJ to GPS: 6453\nIRJ to VAN: 14505\nIRJ to UTS: 15751\nIMP to YOP: 9687\nIMP to LBB: 7283\nIMP to VIL: 5929\nIMP to GPS: 6142\nIMP to VAN: 10967\nIMP to UTS: 11901\nVIL to YOP: 9871\nVIL to LBB: 8806\nVIL to GPS: 9382\nVIL to VAN: 5923\nVIL to UTS: 6927\nYOP to LBB: 3053\nYOP to GPS: 8788\nYOP to VAN: 11008\nYOP to UTS: 9902\nGPS to LBB: 5862\nGPS to VAN: 14164\nGPS to UTS: 14085\nVAN to LBB: 11793\nVAN to UTS: 4413\nUTS to LBB: 10761\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48241,
"style": "rule"
}
|
{
"exact_answer": 48241,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PMY\", \"id\": 0}, {\"name\": \"IRJ\", \"id\": 1}, {\"name\": \"IMP\", \"id\": 2}, {\"name\": \"VIL\", \"id\": 3}, {\"name\": \"YOP\", \"id\": 4}, {\"name\": \"GPS\", \"id\": 5}, {\"name\": \"VAN\", \"id\": 6}, {\"name\": \"UTS\", \"id\": 7}, {\"name\": \"LBB\", \"id\": 8}], \"links\": [{\"weight\": 12973, \"source\": 0, \"target\": 4}, {\"weight\": 10046, \"source\": 0, \"target\": 8}, {\"weight\": 4650, \"source\": 0, \"target\": 2}, {\"weight\": 2056, \"source\": 0, \"target\": 1}, {\"weight\": 9894, \"source\": 0, \"target\": 3}, {\"weight\": 6555, \"source\": 0, \"target\": 5}, {\"weight\": 14607, \"source\": 0, \"target\": 6}, {\"weight\": 15853, \"source\": 0, \"target\": 7}, {\"weight\": 12871, \"source\": 1, \"target\": 4}, {\"weight\": 9944, \"source\": 1, \"target\": 8}, {\"weight\": 4548, \"source\": 1, \"target\": 2}, {\"weight\": 9792, \"source\": 1, \"target\": 3}, {\"weight\": 6453, \"source\": 1, \"target\": 5}, {\"weight\": 14505, \"source\": 1, \"target\": 6}, {\"weight\": 15751, \"source\": 1, \"target\": 7}, {\"weight\": 9687, \"source\": 2, \"target\": 4}, {\"weight\": 7283, \"source\": 2, \"target\": 8}, {\"weight\": 5929, \"source\": 2, \"target\": 3}, {\"weight\": 6142, \"source\": 2, \"target\": 5}, {\"weight\": 10967, \"source\": 2, \"target\": 6}, {\"weight\": 11901, \"source\": 2, \"target\": 7}, {\"weight\": 9871, \"source\": 3, \"target\": 4}, {\"weight\": 8806, \"source\": 3, \"target\": 8}, {\"weight\": 9382, \"source\": 3, \"target\": 5}, {\"weight\": 5923, \"source\": 3, \"target\": 6}, {\"weight\": 6927, \"source\": 3, \"target\": 7}, {\"weight\": 3053, \"source\": 4, \"target\": 8}, {\"weight\": 8788, \"source\": 4, \"target\": 5}, {\"weight\": 11008, \"source\": 4, \"target\": 6}, {\"weight\": 9902, \"source\": 4, \"target\": 7}, {\"weight\": 5862, \"source\": 5, \"target\": 8}, {\"weight\": 14164, \"source\": 5, \"target\": 6}, {\"weight\": 14085, \"source\": 5, \"target\": 7}, {\"weight\": 11793, \"source\": 6, \"target\": 8}, {\"weight\": 4413, \"source\": 6, \"target\": 7}, {\"weight\": 10761, \"source\": 7, \"target\": 8}]}",
"id": 1240,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PMY, IRJ, IMP, VIL, YOP, GPS, VAN, UTS, LBB\n- Travel distances (in kilometers) between each pair of airports:\nPMY to YOP: 12973\nPMY to LBB: 10046\nPMY to IMP: 4650\nPMY to IRJ: 2056\nPMY to VIL: 9894\nPMY to GPS: 6555\nPMY to VAN: 14607\nPMY to UTS: 15853\nIRJ to YOP: 12871\nIRJ to LBB: 9944\nIRJ to IMP: 4548\nIRJ to VIL: 9792\nIRJ to GPS: 6453\nIRJ to VAN: 14505\nIRJ to UTS: 15751\nIMP to YOP: 9687\nIMP to LBB: 7283\nIMP to VIL: 5929\nIMP to GPS: 6142\nIMP to VAN: 10967\nIMP to UTS: 11901\nVIL to YOP: 9871\nVIL to LBB: 8806\nVIL to GPS: 9382\nVIL to VAN: 5923\nVIL to UTS: 6927\nYOP to LBB: 3053\nYOP to GPS: 8788\nYOP to VAN: 11008\nYOP to UTS: 9902\nGPS to LBB: 5862\nGPS to VAN: 14164\nGPS to UTS: 14085\nVAN to LBB: 11793\nVAN to UTS: 4413\nUTS to LBB: 10761\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, TXL, CFK, TBG, SCQ, AAE, SPS, AAN, LZY\n- Travel distances (in kilometers) between each pair of airports:\nLXS to TXL: 1730\nLXS to LZY: 6908\nLXS to SPS: 10180\nLXS to AAE: 2479\nLXS to CFK: 2581\nLXS to TBG: 14571\nLXS to SCQ: 2811\nLXS to AAN: 6389\nTXL to LZY: 7583\nTXL to SPS: 8552\nTXL to AAE: 1944\nTXL to CFK: 2046\nTXL to TBG: 14607\nTXL to SCQ: 1934\nTXL to AAN: 6997\nCFK to LZY: 9029\nCFK to SPS: 9487\nCFK to AAE: 1636\nCFK to TBG: 16464\nCFK to SCQ: 2102\nCFK to AAN: 8510\nTBG to LZY: 8145\nTBG to SPS: 15250\nTBG to AAE: 15745\nTBG to SCQ: 16541\nTBG to AAN: 11619\nSCQ to LZY: 9265\nSCQ to SPS: 8546\nSCQ to AAE: 1616\nSCQ to AAN: 8684\nAAE to LZY: 8082\nAAE to SPS: 9287\nAAE to AAN: 7563\nSPS to LZY: 13973\nSPS to AAN: 15129\nAAN to LZY: 4409\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49767,
"style": "rule"
}
|
{
"exact_answer": 49767,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LXS\", \"id\": 0}, {\"name\": \"TXL\", \"id\": 1}, {\"name\": \"CFK\", \"id\": 2}, {\"name\": \"TBG\", \"id\": 3}, {\"name\": \"SCQ\", \"id\": 4}, {\"name\": \"AAE\", \"id\": 5}, {\"name\": \"SPS\", \"id\": 6}, {\"name\": \"AAN\", \"id\": 7}, {\"name\": \"LZY\", \"id\": 8}], \"links\": [{\"weight\": 1730, \"source\": 0, \"target\": 1}, {\"weight\": 6908, \"source\": 0, \"target\": 8}, {\"weight\": 10180, \"source\": 0, \"target\": 6}, {\"weight\": 2479, \"source\": 0, \"target\": 5}, {\"weight\": 2581, \"source\": 0, \"target\": 2}, {\"weight\": 14571, \"source\": 0, \"target\": 3}, {\"weight\": 2811, \"source\": 0, \"target\": 4}, {\"weight\": 6389, \"source\": 0, \"target\": 7}, {\"weight\": 7583, \"source\": 1, \"target\": 8}, {\"weight\": 8552, \"source\": 1, \"target\": 6}, {\"weight\": 1944, \"source\": 1, \"target\": 5}, {\"weight\": 2046, \"source\": 1, \"target\": 2}, {\"weight\": 14607, \"source\": 1, \"target\": 3}, {\"weight\": 1934, \"source\": 1, \"target\": 4}, {\"weight\": 6997, \"source\": 1, \"target\": 7}, {\"weight\": 9029, \"source\": 2, \"target\": 8}, {\"weight\": 9487, \"source\": 2, \"target\": 6}, {\"weight\": 1636, \"source\": 2, \"target\": 5}, {\"weight\": 16464, \"source\": 2, \"target\": 3}, {\"weight\": 2102, \"source\": 2, \"target\": 4}, {\"weight\": 8510, \"source\": 2, \"target\": 7}, {\"weight\": 8145, \"source\": 3, \"target\": 8}, {\"weight\": 15250, \"source\": 3, \"target\": 6}, {\"weight\": 15745, \"source\": 3, \"target\": 5}, {\"weight\": 16541, \"source\": 3, \"target\": 4}, {\"weight\": 11619, \"source\": 3, \"target\": 7}, {\"weight\": 9265, \"source\": 4, \"target\": 8}, {\"weight\": 8546, \"source\": 4, \"target\": 6}, {\"weight\": 1616, \"source\": 4, \"target\": 5}, {\"weight\": 8684, \"source\": 4, \"target\": 7}, {\"weight\": 8082, \"source\": 5, \"target\": 8}, {\"weight\": 9287, \"source\": 5, \"target\": 6}, {\"weight\": 7563, \"source\": 5, \"target\": 7}, {\"weight\": 13973, \"source\": 6, \"target\": 8}, {\"weight\": 15129, \"source\": 6, \"target\": 7}, {\"weight\": 4409, \"source\": 7, \"target\": 8}]}",
"id": 1241,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, TXL, CFK, TBG, SCQ, AAE, SPS, AAN, LZY\n- Travel distances (in kilometers) between each pair of airports:\nLXS to TXL: 1730\nLXS to LZY: 6908\nLXS to SPS: 10180\nLXS to AAE: 2479\nLXS to CFK: 2581\nLXS to TBG: 14571\nLXS to SCQ: 2811\nLXS to AAN: 6389\nTXL to LZY: 7583\nTXL to SPS: 8552\nTXL to AAE: 1944\nTXL to CFK: 2046\nTXL to TBG: 14607\nTXL to SCQ: 1934\nTXL to AAN: 6997\nCFK to LZY: 9029\nCFK to SPS: 9487\nCFK to AAE: 1636\nCFK to TBG: 16464\nCFK to SCQ: 2102\nCFK to AAN: 8510\nTBG to LZY: 8145\nTBG to SPS: 15250\nTBG to AAE: 15745\nTBG to SCQ: 16541\nTBG to AAN: 11619\nSCQ to LZY: 9265\nSCQ to SPS: 8546\nSCQ to AAE: 1616\nSCQ to AAN: 8684\nAAE to LZY: 8082\nAAE to SPS: 9287\nAAE to AAN: 7563\nSPS to LZY: 13973\nSPS to AAN: 15129\nAAN to LZY: 4409\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJM, IPA, BOG, DLA, BJI, OVD, CYB, HMO, CBO\n- Travel distances (in kilometers) between each pair of airports:\nPJM to BOG: 1446\nPJM to CBO: 17200\nPJM to DLA: 12142\nPJM to HMO: 3718\nPJM to BJI: 4598\nPJM to OVD: 9089\nPJM to CYB: 1801\nPJM to IPA: 14596\nIPA to BOG: 15624\nIPA to CBO: 7673\nIPA to DLA: 17578\nIPA to HMO: 10905\nIPA to BJI: 12811\nIPA to OVD: 18275\nIPA to CYB: 14240\nBOG to CBO: 18192\nBOG to DLA: 11069\nBOG to HMO: 4764\nBOG to BJI: 5167\nBOG to OVD: 8429\nBOG to CYB: 2347\nDLA to CBO: 13090\nDLA to HMO: 12764\nDLA to BJI: 11177\nDLA to OVD: 4777\nDLA to CYB: 11643\nBJI to CBO: 13811\nBJI to HMO: 2862\nBJI to OVD: 7888\nBJI to CYB: 3417\nOVD to CBO: 12514\nOVD to HMO: 9840\nOVD to CYB: 8186\nCYB to CBO: 16579\nCYB to HMO: 3537\nHMO to CBO: 13509\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54400,
"style": "rule"
}
|
{
"exact_answer": 54400,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PJM\", \"id\": 0}, {\"name\": \"IPA\", \"id\": 1}, {\"name\": \"BOG\", \"id\": 2}, {\"name\": \"DLA\", \"id\": 3}, {\"name\": \"BJI\", \"id\": 4}, {\"name\": \"OVD\", \"id\": 5}, {\"name\": \"CYB\", \"id\": 6}, {\"name\": \"HMO\", \"id\": 7}, {\"name\": \"CBO\", \"id\": 8}], \"links\": [{\"weight\": 1446, \"source\": 0, \"target\": 2}, {\"weight\": 17200, \"source\": 0, \"target\": 8}, {\"weight\": 12142, \"source\": 0, \"target\": 3}, {\"weight\": 3718, \"source\": 0, \"target\": 7}, {\"weight\": 4598, \"source\": 0, \"target\": 4}, {\"weight\": 9089, \"source\": 0, \"target\": 5}, {\"weight\": 1801, \"source\": 0, \"target\": 6}, {\"weight\": 14596, \"source\": 0, \"target\": 1}, {\"weight\": 15624, \"source\": 1, \"target\": 2}, {\"weight\": 7673, \"source\": 1, \"target\": 8}, {\"weight\": 17578, \"source\": 1, \"target\": 3}, {\"weight\": 10905, \"source\": 1, \"target\": 7}, {\"weight\": 12811, \"source\": 1, \"target\": 4}, {\"weight\": 18275, \"source\": 1, \"target\": 5}, {\"weight\": 14240, \"source\": 1, \"target\": 6}, {\"weight\": 18192, \"source\": 2, \"target\": 8}, {\"weight\": 11069, \"source\": 2, \"target\": 3}, {\"weight\": 4764, \"source\": 2, \"target\": 7}, {\"weight\": 5167, \"source\": 2, \"target\": 4}, {\"weight\": 8429, \"source\": 2, \"target\": 5}, {\"weight\": 2347, \"source\": 2, \"target\": 6}, {\"weight\": 13090, \"source\": 3, \"target\": 8}, {\"weight\": 12764, \"source\": 3, \"target\": 7}, {\"weight\": 11177, \"source\": 3, \"target\": 4}, {\"weight\": 4777, \"source\": 3, \"target\": 5}, {\"weight\": 11643, \"source\": 3, \"target\": 6}, {\"weight\": 13811, \"source\": 4, \"target\": 8}, {\"weight\": 2862, \"source\": 4, \"target\": 7}, {\"weight\": 7888, \"source\": 4, \"target\": 5}, {\"weight\": 3417, \"source\": 4, \"target\": 6}, {\"weight\": 12514, \"source\": 5, \"target\": 8}, {\"weight\": 9840, \"source\": 5, \"target\": 7}, {\"weight\": 8186, \"source\": 5, \"target\": 6}, {\"weight\": 16579, \"source\": 6, \"target\": 8}, {\"weight\": 3537, \"source\": 6, \"target\": 7}, {\"weight\": 13509, \"source\": 7, \"target\": 8}]}",
"id": 1242,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJM, IPA, BOG, DLA, BJI, OVD, CYB, HMO, CBO\n- Travel distances (in kilometers) between each pair of airports:\nPJM to BOG: 1446\nPJM to CBO: 17200\nPJM to DLA: 12142\nPJM to HMO: 3718\nPJM to BJI: 4598\nPJM to OVD: 9089\nPJM to CYB: 1801\nPJM to IPA: 14596\nIPA to BOG: 15624\nIPA to CBO: 7673\nIPA to DLA: 17578\nIPA to HMO: 10905\nIPA to BJI: 12811\nIPA to OVD: 18275\nIPA to CYB: 14240\nBOG to CBO: 18192\nBOG to DLA: 11069\nBOG to HMO: 4764\nBOG to BJI: 5167\nBOG to OVD: 8429\nBOG to CYB: 2347\nDLA to CBO: 13090\nDLA to HMO: 12764\nDLA to BJI: 11177\nDLA to OVD: 4777\nDLA to CYB: 11643\nBJI to CBO: 13811\nBJI to HMO: 2862\nBJI to OVD: 7888\nBJI to CYB: 3417\nOVD to CBO: 12514\nOVD to HMO: 9840\nOVD to CYB: 8186\nCYB to CBO: 16579\nCYB to HMO: 3537\nHMO to CBO: 13509\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JED, IBA, LUK, EPR, LUH, TFN, RDM, YFJ, IRC\n- Travel distances (in kilometers) between each pair of airports:\nJED to IRC: 14976\nJED to YFJ: 12628\nJED to RDM: 12673\nJED to LUH: 4157\nJED to TFN: 5741\nJED to EPR: 11238\nJED to LUK: 11558\nJED to IBA: 4094\nIBA to IRC: 15438\nIBA to YFJ: 12688\nIBA to RDM: 13205\nIBA to LUH: 8251\nIBA to TFN: 4529\nIBA to EPR: 13769\nIBA to LUK: 10760\nLUK to IRC: 5638\nLUK to YFJ: 3924\nLUK to RDM: 3274\nLUK to LUH: 13061\nLUK to TFN: 7184\nLUK to EPR: 18941\nEPR to IRC: 16839\nEPR to YFJ: 18112\nEPR to RDM: 16114\nEPR to LUH: 8872\nEPR to TFN: 16637\nLUH to IRC: 15433\nLUH to YFJ: 14076\nLUH to RDM: 13130\nLUH to TFN: 9140\nTFN to IRC: 11909\nTFN to YFJ: 9273\nTFN to RDM: 9676\nRDM to IRC: 3035\nRDM to YFJ: 2474\nYFJ to IRC: 4777\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55108,
"style": "rule"
}
|
{
"exact_answer": 55108,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JED\", \"id\": 0}, {\"name\": \"IBA\", \"id\": 1}, {\"name\": \"LUK\", \"id\": 2}, {\"name\": \"EPR\", \"id\": 3}, {\"name\": \"LUH\", \"id\": 4}, {\"name\": \"TFN\", \"id\": 5}, {\"name\": \"RDM\", \"id\": 6}, {\"name\": \"YFJ\", \"id\": 7}, {\"name\": \"IRC\", \"id\": 8}], \"links\": [{\"weight\": 14976, \"source\": 0, \"target\": 8}, {\"weight\": 12628, \"source\": 0, \"target\": 7}, {\"weight\": 12673, \"source\": 0, \"target\": 6}, {\"weight\": 4157, \"source\": 0, \"target\": 4}, {\"weight\": 5741, \"source\": 0, \"target\": 5}, {\"weight\": 11238, \"source\": 0, \"target\": 3}, {\"weight\": 11558, \"source\": 0, \"target\": 2}, {\"weight\": 4094, \"source\": 0, \"target\": 1}, {\"weight\": 15438, \"source\": 1, \"target\": 8}, {\"weight\": 12688, \"source\": 1, \"target\": 7}, {\"weight\": 13205, \"source\": 1, \"target\": 6}, {\"weight\": 8251, \"source\": 1, \"target\": 4}, {\"weight\": 4529, \"source\": 1, \"target\": 5}, {\"weight\": 13769, \"source\": 1, \"target\": 3}, {\"weight\": 10760, \"source\": 1, \"target\": 2}, {\"weight\": 5638, \"source\": 2, \"target\": 8}, {\"weight\": 3924, \"source\": 2, \"target\": 7}, {\"weight\": 3274, \"source\": 2, \"target\": 6}, {\"weight\": 13061, \"source\": 2, \"target\": 4}, {\"weight\": 7184, \"source\": 2, \"target\": 5}, {\"weight\": 18941, \"source\": 2, \"target\": 3}, {\"weight\": 16839, \"source\": 3, \"target\": 8}, {\"weight\": 18112, \"source\": 3, \"target\": 7}, {\"weight\": 16114, \"source\": 3, \"target\": 6}, {\"weight\": 8872, \"source\": 3, \"target\": 4}, {\"weight\": 16637, \"source\": 3, \"target\": 5}, {\"weight\": 15433, \"source\": 4, \"target\": 8}, {\"weight\": 14076, \"source\": 4, \"target\": 7}, {\"weight\": 13130, \"source\": 4, \"target\": 6}, {\"weight\": 9140, \"source\": 4, \"target\": 5}, {\"weight\": 11909, \"source\": 5, \"target\": 8}, {\"weight\": 9273, \"source\": 5, \"target\": 7}, {\"weight\": 9676, \"source\": 5, \"target\": 6}, {\"weight\": 3035, \"source\": 6, \"target\": 8}, {\"weight\": 2474, \"source\": 6, \"target\": 7}, {\"weight\": 4777, \"source\": 7, \"target\": 8}]}",
"id": 1243,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JED, IBA, LUK, EPR, LUH, TFN, RDM, YFJ, IRC\n- Travel distances (in kilometers) between each pair of airports:\nJED to IRC: 14976\nJED to YFJ: 12628\nJED to RDM: 12673\nJED to LUH: 4157\nJED to TFN: 5741\nJED to EPR: 11238\nJED to LUK: 11558\nJED to IBA: 4094\nIBA to IRC: 15438\nIBA to YFJ: 12688\nIBA to RDM: 13205\nIBA to LUH: 8251\nIBA to TFN: 4529\nIBA to EPR: 13769\nIBA to LUK: 10760\nLUK to IRC: 5638\nLUK to YFJ: 3924\nLUK to RDM: 3274\nLUK to LUH: 13061\nLUK to TFN: 7184\nLUK to EPR: 18941\nEPR to IRC: 16839\nEPR to YFJ: 18112\nEPR to RDM: 16114\nEPR to LUH: 8872\nEPR to TFN: 16637\nLUH to IRC: 15433\nLUH to YFJ: 14076\nLUH to RDM: 13130\nLUH to TFN: 9140\nTFN to IRC: 11909\nTFN to YFJ: 9273\nTFN to RDM: 9676\nRDM to IRC: 3035\nRDM to YFJ: 2474\nYFJ to IRC: 4777\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BLK, OVB, FRO, RST, MDT, LDE, YVB, NSH, DFW\n- Travel distances (in kilometers) between each pair of airports:\nBLK to OVB: 5431\nBLK to DFW: 7402\nBLK to MDT: 5557\nBLK to LDE: 1527\nBLK to RST: 6543\nBLK to NSH: 5131\nBLK to YVB: 5912\nBLK to FRO: 1243\nOVB to DFW: 11933\nOVB to MDT: 10252\nOVB to LDE: 5856\nOVB to RST: 11074\nOVB to NSH: 3686\nOVB to YVB: 10596\nOVB to FRO: 4521\nFRO to DFW: 7730\nFRO to MDT: 6030\nFRO to LDE: 2084\nFRO to RST: 6933\nFRO to NSH: 4861\nFRO to YVB: 6570\nRST to DFW: 1494\nRST to MDT: 1384\nRST to LDE: 7573\nRST to NSH: 11171\nRST to YVB: 2312\nMDT to DFW: 2033\nMDT to LDE: 6433\nMDT to NSH: 10443\nMDT to YVB: 1431\nLDE to DFW: 8395\nLDE to NSH: 4599\nLDE to YVB: 6395\nYVB to DFW: 3127\nYVB to NSH: 10053\nNSH to DFW: 12260\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 31840,
"style": "rule"
}
|
{
"exact_answer": 31840,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BLK\", \"id\": 0}, {\"name\": \"OVB\", \"id\": 1}, {\"name\": \"FRO\", \"id\": 2}, {\"name\": \"RST\", \"id\": 3}, {\"name\": \"MDT\", \"id\": 4}, {\"name\": \"LDE\", \"id\": 5}, {\"name\": \"YVB\", \"id\": 6}, {\"name\": \"NSH\", \"id\": 7}, {\"name\": \"DFW\", \"id\": 8}], \"links\": [{\"weight\": 5431, \"source\": 0, \"target\": 1}, {\"weight\": 7402, \"source\": 0, \"target\": 8}, {\"weight\": 5557, \"source\": 0, \"target\": 4}, {\"weight\": 1527, \"source\": 0, \"target\": 5}, {\"weight\": 6543, \"source\": 0, \"target\": 3}, {\"weight\": 5131, \"source\": 0, \"target\": 7}, {\"weight\": 5912, \"source\": 0, \"target\": 6}, {\"weight\": 1243, \"source\": 0, \"target\": 2}, {\"weight\": 11933, \"source\": 1, \"target\": 8}, {\"weight\": 10252, \"source\": 1, \"target\": 4}, {\"weight\": 5856, \"source\": 1, \"target\": 5}, {\"weight\": 11074, \"source\": 1, \"target\": 3}, {\"weight\": 3686, \"source\": 1, \"target\": 7}, {\"weight\": 10596, \"source\": 1, \"target\": 6}, {\"weight\": 4521, \"source\": 1, \"target\": 2}, {\"weight\": 7730, \"source\": 2, \"target\": 8}, {\"weight\": 6030, \"source\": 2, \"target\": 4}, {\"weight\": 2084, \"source\": 2, \"target\": 5}, {\"weight\": 6933, \"source\": 2, \"target\": 3}, {\"weight\": 4861, \"source\": 2, \"target\": 7}, {\"weight\": 6570, \"source\": 2, \"target\": 6}, {\"weight\": 1494, \"source\": 3, \"target\": 8}, {\"weight\": 1384, \"source\": 3, \"target\": 4}, {\"weight\": 7573, \"source\": 3, \"target\": 5}, {\"weight\": 11171, \"source\": 3, \"target\": 7}, {\"weight\": 2312, \"source\": 3, \"target\": 6}, {\"weight\": 2033, \"source\": 4, \"target\": 8}, {\"weight\": 6433, \"source\": 4, \"target\": 5}, {\"weight\": 10443, \"source\": 4, \"target\": 7}, {\"weight\": 1431, \"source\": 4, \"target\": 6}, {\"weight\": 8395, \"source\": 5, \"target\": 8}, {\"weight\": 4599, \"source\": 5, \"target\": 7}, {\"weight\": 6395, \"source\": 5, \"target\": 6}, {\"weight\": 3127, \"source\": 6, \"target\": 8}, {\"weight\": 10053, \"source\": 6, \"target\": 7}, {\"weight\": 12260, \"source\": 7, \"target\": 8}]}",
"id": 1244,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BLK, OVB, FRO, RST, MDT, LDE, YVB, NSH, DFW\n- Travel distances (in kilometers) between each pair of airports:\nBLK to OVB: 5431\nBLK to DFW: 7402\nBLK to MDT: 5557\nBLK to LDE: 1527\nBLK to RST: 6543\nBLK to NSH: 5131\nBLK to YVB: 5912\nBLK to FRO: 1243\nOVB to DFW: 11933\nOVB to MDT: 10252\nOVB to LDE: 5856\nOVB to RST: 11074\nOVB to NSH: 3686\nOVB to YVB: 10596\nOVB to FRO: 4521\nFRO to DFW: 7730\nFRO to MDT: 6030\nFRO to LDE: 2084\nFRO to RST: 6933\nFRO to NSH: 4861\nFRO to YVB: 6570\nRST to DFW: 1494\nRST to MDT: 1384\nRST to LDE: 7573\nRST to NSH: 11171\nRST to YVB: 2312\nMDT to DFW: 2033\nMDT to LDE: 6433\nMDT to NSH: 10443\nMDT to YVB: 1431\nLDE to DFW: 8395\nLDE to NSH: 4599\nLDE to YVB: 6395\nYVB to DFW: 3127\nYVB to NSH: 10053\nNSH to DFW: 12260\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZH, KTN, JST, DRO, BUR, APL, JSH, LNY, BOD\n- Travel distances (in kilometers) between each pair of airports:\nCZH to BOD: 9001\nCZH to KTN: 5784\nCZH to JSH: 11130\nCZH to BUR: 3891\nCZH to DRO: 3123\nCZH to LNY: 7674\nCZH to APL: 15727\nCZH to JST: 2915\nKTN to BOD: 9463\nKTN to JSH: 11462\nKTN to BUR: 2601\nKTN to DRO: 3139\nKTN to LNY: 5395\nKTN to APL: 17159\nKTN to JST: 4985\nJST to BOD: 6497\nJST to JSH: 8846\nJST to BUR: 3866\nJST to DRO: 2926\nJST to LNY: 7886\nJST to APL: 14232\nDRO to BOD: 8508\nDRO to JSH: 10664\nDRO to BUR: 1157\nDRO to LNY: 5191\nDRO to APL: 16294\nBUR to BOD: 9471\nBUR to JSH: 11494\nBUR to LNY: 4318\nBUR to APL: 17124\nAPL to BOD: 8297\nAPL to JSH: 6563\nAPL to LNY: 18899\nJSH to BOD: 2521\nJSH to LNY: 14571\nLNY to BOD: 12646\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49648,
"style": "rule"
}
|
{
"exact_answer": 49648,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZH\", \"id\": 0}, {\"name\": \"KTN\", \"id\": 1}, {\"name\": \"JST\", \"id\": 2}, {\"name\": \"DRO\", \"id\": 3}, {\"name\": \"BUR\", \"id\": 4}, {\"name\": \"APL\", \"id\": 5}, {\"name\": \"JSH\", \"id\": 6}, {\"name\": \"LNY\", \"id\": 7}, {\"name\": \"BOD\", \"id\": 8}], \"links\": [{\"weight\": 9001, \"source\": 0, \"target\": 8}, {\"weight\": 5784, \"source\": 0, \"target\": 1}, {\"weight\": 11130, \"source\": 0, \"target\": 6}, {\"weight\": 3891, \"source\": 0, \"target\": 4}, {\"weight\": 3123, \"source\": 0, \"target\": 3}, {\"weight\": 7674, \"source\": 0, \"target\": 7}, {\"weight\": 15727, \"source\": 0, \"target\": 5}, {\"weight\": 2915, \"source\": 0, \"target\": 2}, {\"weight\": 9463, \"source\": 1, \"target\": 8}, {\"weight\": 11462, \"source\": 1, \"target\": 6}, {\"weight\": 2601, \"source\": 1, \"target\": 4}, {\"weight\": 3139, \"source\": 1, \"target\": 3}, {\"weight\": 5395, \"source\": 1, \"target\": 7}, {\"weight\": 17159, \"source\": 1, \"target\": 5}, {\"weight\": 4985, \"source\": 1, \"target\": 2}, {\"weight\": 6497, \"source\": 2, \"target\": 8}, {\"weight\": 8846, \"source\": 2, \"target\": 6}, {\"weight\": 3866, \"source\": 2, \"target\": 4}, {\"weight\": 2926, \"source\": 2, \"target\": 3}, {\"weight\": 7886, \"source\": 2, \"target\": 7}, {\"weight\": 14232, \"source\": 2, \"target\": 5}, {\"weight\": 8508, \"source\": 3, \"target\": 8}, {\"weight\": 10664, \"source\": 3, \"target\": 6}, {\"weight\": 1157, \"source\": 3, \"target\": 4}, {\"weight\": 5191, \"source\": 3, \"target\": 7}, {\"weight\": 16294, \"source\": 3, \"target\": 5}, {\"weight\": 9471, \"source\": 4, \"target\": 8}, {\"weight\": 11494, \"source\": 4, \"target\": 6}, {\"weight\": 4318, \"source\": 4, \"target\": 7}, {\"weight\": 17124, \"source\": 4, \"target\": 5}, {\"weight\": 8297, \"source\": 5, \"target\": 8}, {\"weight\": 6563, \"source\": 5, \"target\": 6}, {\"weight\": 18899, \"source\": 5, \"target\": 7}, {\"weight\": 2521, \"source\": 6, \"target\": 8}, {\"weight\": 14571, \"source\": 6, \"target\": 7}, {\"weight\": 12646, \"source\": 7, \"target\": 8}]}",
"id": 1245,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZH, KTN, JST, DRO, BUR, APL, JSH, LNY, BOD\n- Travel distances (in kilometers) between each pair of airports:\nCZH to BOD: 9001\nCZH to KTN: 5784\nCZH to JSH: 11130\nCZH to BUR: 3891\nCZH to DRO: 3123\nCZH to LNY: 7674\nCZH to APL: 15727\nCZH to JST: 2915\nKTN to BOD: 9463\nKTN to JSH: 11462\nKTN to BUR: 2601\nKTN to DRO: 3139\nKTN to LNY: 5395\nKTN to APL: 17159\nKTN to JST: 4985\nJST to BOD: 6497\nJST to JSH: 8846\nJST to BUR: 3866\nJST to DRO: 2926\nJST to LNY: 7886\nJST to APL: 14232\nDRO to BOD: 8508\nDRO to JSH: 10664\nDRO to BUR: 1157\nDRO to LNY: 5191\nDRO to APL: 16294\nBUR to BOD: 9471\nBUR to JSH: 11494\nBUR to LNY: 4318\nBUR to APL: 17124\nAPL to BOD: 8297\nAPL to JSH: 6563\nAPL to LNY: 18899\nJSH to BOD: 2521\nJSH to LNY: 14571\nLNY to BOD: 12646\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VDS, BNE, KWJ, UTP, TSF, YDQ, ATA, PNR, RVK\n- Travel distances (in kilometers) between each pair of airports:\nVDS to TSF: 3055\nVDS to YDQ: 8991\nVDS to BNE: 16445\nVDS to PNR: 8735\nVDS to KWJ: 9225\nVDS to UTP: 10346\nVDS to ATA: 13110\nVDS to RVK: 1067\nBNE to TSF: 16085\nBNE to YDQ: 12660\nBNE to PNR: 14716\nBNE to KWJ: 7980\nBNE to UTP: 7513\nBNE to ATA: 14710\nBNE to RVK: 15833\nKWJ to TSF: 9106\nKWJ to YDQ: 9575\nKWJ to PNR: 12878\nKWJ to UTP: 4342\nKWJ to ATA: 17250\nKWJ to RVK: 8578\nUTP to TSF: 9686\nUTP to YDQ: 13390\nUTP to PNR: 10857\nUTP to ATA: 20848\nUTP to RVK: 9760\nTSF to YDQ: 9126\nTSF to PNR: 6423\nTSF to ATA: 11258\nTSF to RVK: 2167\nYDQ to PNR: 14452\nYDQ to ATA: 9245\nYDQ to RVK: 7952\nATA to PNR: 11213\nATA to RVK: 12106\nPNR to RVK: 7847\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63855,
"style": "rule"
}
|
{
"exact_answer": 63855,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VDS\", \"id\": 0}, {\"name\": \"BNE\", \"id\": 1}, {\"name\": \"KWJ\", \"id\": 2}, {\"name\": \"UTP\", \"id\": 3}, {\"name\": \"TSF\", \"id\": 4}, {\"name\": \"YDQ\", \"id\": 5}, {\"name\": \"ATA\", \"id\": 6}, {\"name\": \"PNR\", \"id\": 7}, {\"name\": \"RVK\", \"id\": 8}], \"links\": [{\"weight\": 3055, \"source\": 0, \"target\": 4}, {\"weight\": 8991, \"source\": 0, \"target\": 5}, {\"weight\": 16445, \"source\": 0, \"target\": 1}, {\"weight\": 8735, \"source\": 0, \"target\": 7}, {\"weight\": 9225, \"source\": 0, \"target\": 2}, {\"weight\": 10346, \"source\": 0, \"target\": 3}, {\"weight\": 13110, \"source\": 0, \"target\": 6}, {\"weight\": 1067, \"source\": 0, \"target\": 8}, {\"weight\": 16085, \"source\": 1, \"target\": 4}, {\"weight\": 12660, \"source\": 1, \"target\": 5}, {\"weight\": 14716, \"source\": 1, \"target\": 7}, {\"weight\": 7980, \"source\": 1, \"target\": 2}, {\"weight\": 7513, \"source\": 1, \"target\": 3}, {\"weight\": 14710, \"source\": 1, \"target\": 6}, {\"weight\": 15833, \"source\": 1, \"target\": 8}, {\"weight\": 9106, \"source\": 2, \"target\": 4}, {\"weight\": 9575, \"source\": 2, \"target\": 5}, {\"weight\": 12878, \"source\": 2, \"target\": 7}, {\"weight\": 4342, \"source\": 2, \"target\": 3}, {\"weight\": 17250, \"source\": 2, \"target\": 6}, {\"weight\": 8578, \"source\": 2, \"target\": 8}, {\"weight\": 9686, \"source\": 3, \"target\": 4}, {\"weight\": 13390, \"source\": 3, \"target\": 5}, {\"weight\": 10857, \"source\": 3, \"target\": 7}, {\"weight\": 20848, \"source\": 3, \"target\": 6}, {\"weight\": 9760, \"source\": 3, \"target\": 8}, {\"weight\": 9126, \"source\": 4, \"target\": 5}, {\"weight\": 6423, \"source\": 4, \"target\": 7}, {\"weight\": 11258, \"source\": 4, \"target\": 6}, {\"weight\": 2167, \"source\": 4, \"target\": 8}, {\"weight\": 14452, \"source\": 5, \"target\": 7}, {\"weight\": 9245, \"source\": 5, \"target\": 6}, {\"weight\": 7952, \"source\": 5, \"target\": 8}, {\"weight\": 11213, \"source\": 6, \"target\": 7}, {\"weight\": 12106, \"source\": 6, \"target\": 8}, {\"weight\": 7847, \"source\": 7, \"target\": 8}]}",
"id": 1246,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VDS, BNE, KWJ, UTP, TSF, YDQ, ATA, PNR, RVK\n- Travel distances (in kilometers) between each pair of airports:\nVDS to TSF: 3055\nVDS to YDQ: 8991\nVDS to BNE: 16445\nVDS to PNR: 8735\nVDS to KWJ: 9225\nVDS to UTP: 10346\nVDS to ATA: 13110\nVDS to RVK: 1067\nBNE to TSF: 16085\nBNE to YDQ: 12660\nBNE to PNR: 14716\nBNE to KWJ: 7980\nBNE to UTP: 7513\nBNE to ATA: 14710\nBNE to RVK: 15833\nKWJ to TSF: 9106\nKWJ to YDQ: 9575\nKWJ to PNR: 12878\nKWJ to UTP: 4342\nKWJ to ATA: 17250\nKWJ to RVK: 8578\nUTP to TSF: 9686\nUTP to YDQ: 13390\nUTP to PNR: 10857\nUTP to ATA: 20848\nUTP to RVK: 9760\nTSF to YDQ: 9126\nTSF to PNR: 6423\nTSF to ATA: 11258\nTSF to RVK: 2167\nYDQ to PNR: 14452\nYDQ to ATA: 9245\nYDQ to RVK: 7952\nATA to PNR: 11213\nATA to RVK: 12106\nPNR to RVK: 7847\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EDI, DNR, ERL, SPN, YER, BDL, TNR, AJR, ABM\n- Travel distances (in kilometers) between each pair of airports:\nEDI to AJR: 1983\nEDI to SPN: 11840\nEDI to BDL: 5686\nEDI to TNR: 9588\nEDI to DNR: 826\nEDI to ERL: 8563\nEDI to ABM: 15844\nEDI to YER: 7448\nDNR to AJR: 2465\nDNR to SPN: 12314\nDNR to BDL: 6003\nDNR to TNR: 9231\nDNR to ERL: 8912\nDNR to ABM: 16299\nDNR to YER: 7766\nERL to AJR: 7906\nERL to SPN: 4508\nERL to BDL: 11710\nERL to TNR: 10380\nERL to ABM: 8700\nERL to YER: 12009\nSPN to AJR: 11183\nSPN to BDL: 13253\nSPN to TNR: 11793\nSPN to ABM: 4334\nSPN to YER: 12595\nYER to AJR: 8869\nYER to BDL: 2492\nYER to TNR: 16557\nYER to ABM: 16869\nBDL to AJR: 7412\nBDL to TNR: 14557\nBDL to ABM: 17527\nTNR to AJR: 9845\nTNR to ABM: 11150\nAJR to ABM: 15187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53150,
"style": "rule"
}
|
{
"exact_answer": 53150,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EDI\", \"id\": 0}, {\"name\": \"DNR\", \"id\": 1}, {\"name\": \"ERL\", \"id\": 2}, {\"name\": \"SPN\", \"id\": 3}, {\"name\": \"YER\", \"id\": 4}, {\"name\": \"BDL\", \"id\": 5}, {\"name\": \"TNR\", \"id\": 6}, {\"name\": \"AJR\", \"id\": 7}, {\"name\": \"ABM\", \"id\": 8}], \"links\": [{\"weight\": 1983, \"source\": 0, \"target\": 7}, {\"weight\": 11840, \"source\": 0, \"target\": 3}, {\"weight\": 5686, \"source\": 0, \"target\": 5}, {\"weight\": 9588, \"source\": 0, \"target\": 6}, {\"weight\": 826, \"source\": 0, \"target\": 1}, {\"weight\": 8563, \"source\": 0, \"target\": 2}, {\"weight\": 15844, \"source\": 0, \"target\": 8}, {\"weight\": 7448, \"source\": 0, \"target\": 4}, {\"weight\": 2465, \"source\": 1, \"target\": 7}, {\"weight\": 12314, \"source\": 1, \"target\": 3}, {\"weight\": 6003, \"source\": 1, \"target\": 5}, {\"weight\": 9231, \"source\": 1, \"target\": 6}, {\"weight\": 8912, \"source\": 1, \"target\": 2}, {\"weight\": 16299, \"source\": 1, \"target\": 8}, {\"weight\": 7766, \"source\": 1, \"target\": 4}, {\"weight\": 7906, \"source\": 2, \"target\": 7}, {\"weight\": 4508, \"source\": 2, \"target\": 3}, {\"weight\": 11710, \"source\": 2, \"target\": 5}, {\"weight\": 10380, \"source\": 2, \"target\": 6}, {\"weight\": 8700, \"source\": 2, \"target\": 8}, {\"weight\": 12009, \"source\": 2, \"target\": 4}, {\"weight\": 11183, \"source\": 3, \"target\": 7}, {\"weight\": 13253, \"source\": 3, \"target\": 5}, {\"weight\": 11793, \"source\": 3, \"target\": 6}, {\"weight\": 4334, \"source\": 3, \"target\": 8}, {\"weight\": 12595, \"source\": 3, \"target\": 4}, {\"weight\": 8869, \"source\": 4, \"target\": 7}, {\"weight\": 2492, \"source\": 4, \"target\": 5}, {\"weight\": 16557, \"source\": 4, \"target\": 6}, {\"weight\": 16869, \"source\": 4, \"target\": 8}, {\"weight\": 7412, \"source\": 5, \"target\": 7}, {\"weight\": 14557, \"source\": 5, \"target\": 6}, {\"weight\": 17527, \"source\": 5, \"target\": 8}, {\"weight\": 9845, \"source\": 6, \"target\": 7}, {\"weight\": 11150, \"source\": 6, \"target\": 8}, {\"weight\": 15187, \"source\": 7, \"target\": 8}]}",
"id": 1247,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EDI, DNR, ERL, SPN, YER, BDL, TNR, AJR, ABM\n- Travel distances (in kilometers) between each pair of airports:\nEDI to AJR: 1983\nEDI to SPN: 11840\nEDI to BDL: 5686\nEDI to TNR: 9588\nEDI to DNR: 826\nEDI to ERL: 8563\nEDI to ABM: 15844\nEDI to YER: 7448\nDNR to AJR: 2465\nDNR to SPN: 12314\nDNR to BDL: 6003\nDNR to TNR: 9231\nDNR to ERL: 8912\nDNR to ABM: 16299\nDNR to YER: 7766\nERL to AJR: 7906\nERL to SPN: 4508\nERL to BDL: 11710\nERL to TNR: 10380\nERL to ABM: 8700\nERL to YER: 12009\nSPN to AJR: 11183\nSPN to BDL: 13253\nSPN to TNR: 11793\nSPN to ABM: 4334\nSPN to YER: 12595\nYER to AJR: 8869\nYER to BDL: 2492\nYER to TNR: 16557\nYER to ABM: 16869\nBDL to AJR: 7412\nBDL to TNR: 14557\nBDL to ABM: 17527\nTNR to AJR: 9845\nTNR to ABM: 11150\nAJR to ABM: 15187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HMI, PJM, DEL, IBZ, MLH, RZR, IPI, CUE, PZH\n- Travel distances (in kilometers) between each pair of airports:\nHMI to DEL: 2883\nHMI to IBZ: 7499\nHMI to PJM: 15436\nHMI to IPI: 15728\nHMI to MLH: 6996\nHMI to RZR: 3832\nHMI to CUE: 16182\nHMI to PZH: 2739\nPJM to DEL: 15502\nPJM to IBZ: 9147\nPJM to IPI: 2025\nPJM to MLH: 9587\nPJM to RZR: 13592\nPJM to CUE: 2068\nPJM to PZH: 15268\nDEL to IBZ: 6925\nDEL to IPI: 15784\nDEL to MLH: 6395\nDEL to RZR: 2671\nDEL to CUE: 16234\nDEL to PZH: 1190\nIBZ to IPI: 9027\nIBZ to MLH: 1097\nIBZ to RZR: 4565\nIBZ to CUE: 9481\nIBZ to PZH: 6300\nMLH to IPI: 9615\nMLH to RZR: 4035\nMLH to CUE: 10069\nMLH to PZH: 5770\nRZR to IPI: 13517\nRZR to CUE: 13967\nRZR to PZH: 2022\nIPI to CUE: 1612\nIPI to PZH: 15252\nCUE to PZH: 15702\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 39370,
"style": "rule"
}
|
{
"exact_answer": 39370,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HMI\", \"id\": 0}, {\"name\": \"PJM\", \"id\": 1}, {\"name\": \"DEL\", \"id\": 2}, {\"name\": \"IBZ\", \"id\": 3}, {\"name\": \"MLH\", \"id\": 4}, {\"name\": \"RZR\", \"id\": 5}, {\"name\": \"IPI\", \"id\": 6}, {\"name\": \"CUE\", \"id\": 7}, {\"name\": \"PZH\", \"id\": 8}], \"links\": [{\"weight\": 2883, \"source\": 0, \"target\": 2}, {\"weight\": 7499, \"source\": 0, \"target\": 3}, {\"weight\": 15436, \"source\": 0, \"target\": 1}, {\"weight\": 15728, \"source\": 0, \"target\": 6}, {\"weight\": 6996, \"source\": 0, \"target\": 4}, {\"weight\": 3832, \"source\": 0, \"target\": 5}, {\"weight\": 16182, \"source\": 0, \"target\": 7}, {\"weight\": 2739, \"source\": 0, \"target\": 8}, {\"weight\": 15502, \"source\": 1, \"target\": 2}, {\"weight\": 9147, \"source\": 1, \"target\": 3}, {\"weight\": 2025, \"source\": 1, \"target\": 6}, {\"weight\": 9587, \"source\": 1, \"target\": 4}, {\"weight\": 13592, \"source\": 1, \"target\": 5}, {\"weight\": 2068, \"source\": 1, \"target\": 7}, {\"weight\": 15268, \"source\": 1, \"target\": 8}, {\"weight\": 6925, \"source\": 2, \"target\": 3}, {\"weight\": 15784, \"source\": 2, \"target\": 6}, {\"weight\": 6395, \"source\": 2, \"target\": 4}, {\"weight\": 2671, \"source\": 2, \"target\": 5}, {\"weight\": 16234, \"source\": 2, \"target\": 7}, {\"weight\": 1190, \"source\": 2, \"target\": 8}, {\"weight\": 9027, \"source\": 3, \"target\": 6}, {\"weight\": 1097, \"source\": 3, \"target\": 4}, {\"weight\": 4565, \"source\": 3, \"target\": 5}, {\"weight\": 9481, \"source\": 3, \"target\": 7}, {\"weight\": 6300, \"source\": 3, \"target\": 8}, {\"weight\": 9615, \"source\": 4, \"target\": 6}, {\"weight\": 4035, \"source\": 4, \"target\": 5}, {\"weight\": 10069, \"source\": 4, \"target\": 7}, {\"weight\": 5770, \"source\": 4, \"target\": 8}, {\"weight\": 13517, \"source\": 5, \"target\": 6}, {\"weight\": 13967, \"source\": 5, \"target\": 7}, {\"weight\": 2022, \"source\": 5, \"target\": 8}, {\"weight\": 1612, \"source\": 6, \"target\": 7}, {\"weight\": 15252, \"source\": 6, \"target\": 8}, {\"weight\": 15702, \"source\": 7, \"target\": 8}]}",
"id": 1248,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HMI, PJM, DEL, IBZ, MLH, RZR, IPI, CUE, PZH\n- Travel distances (in kilometers) between each pair of airports:\nHMI to DEL: 2883\nHMI to IBZ: 7499\nHMI to PJM: 15436\nHMI to IPI: 15728\nHMI to MLH: 6996\nHMI to RZR: 3832\nHMI to CUE: 16182\nHMI to PZH: 2739\nPJM to DEL: 15502\nPJM to IBZ: 9147\nPJM to IPI: 2025\nPJM to MLH: 9587\nPJM to RZR: 13592\nPJM to CUE: 2068\nPJM to PZH: 15268\nDEL to IBZ: 6925\nDEL to IPI: 15784\nDEL to MLH: 6395\nDEL to RZR: 2671\nDEL to CUE: 16234\nDEL to PZH: 1190\nIBZ to IPI: 9027\nIBZ to MLH: 1097\nIBZ to RZR: 4565\nIBZ to CUE: 9481\nIBZ to PZH: 6300\nMLH to IPI: 9615\nMLH to RZR: 4035\nMLH to CUE: 10069\nMLH to PZH: 5770\nRZR to IPI: 13517\nRZR to CUE: 13967\nRZR to PZH: 2022\nIPI to CUE: 1612\nIPI to PZH: 15252\nCUE to PZH: 15702\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GPI, LST, QBC, KTG, NUE, JLR, DJG, PER, RTW\n- Travel distances (in kilometers) between each pair of airports:\nGPI to PER: 19009\nGPI to NUE: 9743\nGPI to RTW: 12126\nGPI to QBC: 7351\nGPI to DJG: 10431\nGPI to JLR: 16349\nGPI to KTG: 19734\nGPI to LST: 16645\nLST to PER: 3176\nLST to NUE: 16643\nLST to RTW: 14780\nLST to QBC: 13841\nLST to DJG: 18665\nLST to JLR: 11287\nLST to KTG: 5907\nQBC to PER: 15940\nQBC to NUE: 8675\nQBC to RTW: 10225\nQBC to DJG: 11166\nQBC to JLR: 13395\nQBC to KTG: 13268\nKTG to PER: 3630\nKTG to NUE: 11212\nKTG to RTW: 9244\nKTG to DJG: 13316\nKTG to JLR: 5856\nNUE to PER: 13694\nNUE to RTW: 2621\nNUE to DJG: 3074\nNUE to JLR: 6644\nJLR to PER: 8636\nJLR to RTW: 5014\nJLR to DJG: 8988\nDJG to PER: 15561\nDJG to RTW: 5459\nPER to RTW: 12255\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54994,
"style": "rule"
}
|
{
"exact_answer": 54994,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GPI\", \"id\": 0}, {\"name\": \"LST\", \"id\": 1}, {\"name\": \"QBC\", \"id\": 2}, {\"name\": \"KTG\", \"id\": 3}, {\"name\": \"NUE\", \"id\": 4}, {\"name\": \"JLR\", \"id\": 5}, {\"name\": \"DJG\", \"id\": 6}, {\"name\": \"PER\", \"id\": 7}, {\"name\": \"RTW\", \"id\": 8}], \"links\": [{\"weight\": 19009, \"source\": 0, \"target\": 7}, {\"weight\": 9743, \"source\": 0, \"target\": 4}, {\"weight\": 12126, \"source\": 0, \"target\": 8}, {\"weight\": 7351, \"source\": 0, \"target\": 2}, {\"weight\": 10431, \"source\": 0, \"target\": 6}, {\"weight\": 16349, \"source\": 0, \"target\": 5}, {\"weight\": 19734, \"source\": 0, \"target\": 3}, {\"weight\": 16645, \"source\": 0, \"target\": 1}, {\"weight\": 3176, \"source\": 1, \"target\": 7}, {\"weight\": 16643, \"source\": 1, \"target\": 4}, {\"weight\": 14780, \"source\": 1, \"target\": 8}, {\"weight\": 13841, \"source\": 1, \"target\": 2}, {\"weight\": 18665, \"source\": 1, \"target\": 6}, {\"weight\": 11287, \"source\": 1, \"target\": 5}, {\"weight\": 5907, \"source\": 1, \"target\": 3}, {\"weight\": 15940, \"source\": 2, \"target\": 7}, {\"weight\": 8675, \"source\": 2, \"target\": 4}, {\"weight\": 10225, \"source\": 2, \"target\": 8}, {\"weight\": 11166, \"source\": 2, \"target\": 6}, {\"weight\": 13395, \"source\": 2, \"target\": 5}, {\"weight\": 13268, \"source\": 2, \"target\": 3}, {\"weight\": 3630, \"source\": 3, \"target\": 7}, {\"weight\": 11212, \"source\": 3, \"target\": 4}, {\"weight\": 9244, \"source\": 3, \"target\": 8}, {\"weight\": 13316, \"source\": 3, \"target\": 6}, {\"weight\": 5856, \"source\": 3, \"target\": 5}, {\"weight\": 13694, \"source\": 4, \"target\": 7}, {\"weight\": 2621, \"source\": 4, \"target\": 8}, {\"weight\": 3074, \"source\": 4, \"target\": 6}, {\"weight\": 6644, \"source\": 4, \"target\": 5}, {\"weight\": 8636, \"source\": 5, \"target\": 7}, {\"weight\": 5014, \"source\": 5, \"target\": 8}, {\"weight\": 8988, \"source\": 5, \"target\": 6}, {\"weight\": 15561, \"source\": 6, \"target\": 7}, {\"weight\": 5459, \"source\": 6, \"target\": 8}, {\"weight\": 12255, \"source\": 7, \"target\": 8}]}",
"id": 1249,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GPI, LST, QBC, KTG, NUE, JLR, DJG, PER, RTW\n- Travel distances (in kilometers) between each pair of airports:\nGPI to PER: 19009\nGPI to NUE: 9743\nGPI to RTW: 12126\nGPI to QBC: 7351\nGPI to DJG: 10431\nGPI to JLR: 16349\nGPI to KTG: 19734\nGPI to LST: 16645\nLST to PER: 3176\nLST to NUE: 16643\nLST to RTW: 14780\nLST to QBC: 13841\nLST to DJG: 18665\nLST to JLR: 11287\nLST to KTG: 5907\nQBC to PER: 15940\nQBC to NUE: 8675\nQBC to RTW: 10225\nQBC to DJG: 11166\nQBC to JLR: 13395\nQBC to KTG: 13268\nKTG to PER: 3630\nKTG to NUE: 11212\nKTG to RTW: 9244\nKTG to DJG: 13316\nKTG to JLR: 5856\nNUE to PER: 13694\nNUE to RTW: 2621\nNUE to DJG: 3074\nNUE to JLR: 6644\nJLR to PER: 8636\nJLR to RTW: 5014\nJLR to DJG: 8988\nDJG to PER: 15561\nDJG to RTW: 5459\nPER to RTW: 12255\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSM, FDE, CPH, PIH, LYS, FEZ, URC, RAI, NYA\n- Travel distances (in kilometers) between each pair of airports:\nYSM to LYS: 8317\nYSM to FEZ: 9449\nYSM to URC: 12454\nYSM to CPH: 7816\nYSM to RAI: 9184\nYSM to PIH: 2396\nYSM to NYA: 10860\nYSM to FDE: 7287\nFDE to LYS: 1745\nFDE to FEZ: 3148\nFDE to URC: 5649\nFDE to CPH: 804\nFDE to RAI: 5677\nFDE to PIH: 8179\nFDE to NYA: 3824\nCPH to LYS: 1222\nCPH to FEZ: 2786\nCPH to URC: 5267\nCPH to RAI: 5470\nCPH to PIH: 8708\nCPH to NYA: 3585\nPIH to LYS: 8805\nPIH to FEZ: 9279\nPIH to URC: 12444\nPIH to RAI: 9070\nPIH to NYA: 11752\nLYS to FEZ: 1575\nLYS to URC: 6236\nLYS to RAI: 4341\nLYS to NYA: 4547\nFEZ to URC: 7769\nFEZ to RAI: 2848\nFEZ to NYA: 6061\nURC to RAI: 10569\nURC to NYA: 2932\nRAI to NYA: 8861\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 36421,
"style": "rule"
}
|
{
"exact_answer": 36421,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YSM\", \"id\": 0}, {\"name\": \"FDE\", \"id\": 1}, {\"name\": \"CPH\", \"id\": 2}, {\"name\": \"PIH\", \"id\": 3}, {\"name\": \"LYS\", \"id\": 4}, {\"name\": \"FEZ\", \"id\": 5}, {\"name\": \"URC\", \"id\": 6}, {\"name\": \"RAI\", \"id\": 7}, {\"name\": \"NYA\", \"id\": 8}], \"links\": [{\"weight\": 8317, \"source\": 0, \"target\": 4}, {\"weight\": 9449, \"source\": 0, \"target\": 5}, {\"weight\": 12454, \"source\": 0, \"target\": 6}, {\"weight\": 7816, \"source\": 0, \"target\": 2}, {\"weight\": 9184, \"source\": 0, \"target\": 7}, {\"weight\": 2396, \"source\": 0, \"target\": 3}, {\"weight\": 10860, \"source\": 0, \"target\": 8}, {\"weight\": 7287, \"source\": 0, \"target\": 1}, {\"weight\": 1745, \"source\": 1, \"target\": 4}, {\"weight\": 3148, \"source\": 1, \"target\": 5}, {\"weight\": 5649, \"source\": 1, \"target\": 6}, {\"weight\": 804, \"source\": 1, \"target\": 2}, {\"weight\": 5677, \"source\": 1, \"target\": 7}, {\"weight\": 8179, \"source\": 1, \"target\": 3}, {\"weight\": 3824, \"source\": 1, \"target\": 8}, {\"weight\": 1222, \"source\": 2, \"target\": 4}, {\"weight\": 2786, \"source\": 2, \"target\": 5}, {\"weight\": 5267, \"source\": 2, \"target\": 6}, {\"weight\": 5470, \"source\": 2, \"target\": 7}, {\"weight\": 8708, \"source\": 2, \"target\": 3}, {\"weight\": 3585, \"source\": 2, \"target\": 8}, {\"weight\": 8805, \"source\": 3, \"target\": 4}, {\"weight\": 9279, \"source\": 3, \"target\": 5}, {\"weight\": 12444, \"source\": 3, \"target\": 6}, {\"weight\": 9070, \"source\": 3, \"target\": 7}, {\"weight\": 11752, \"source\": 3, \"target\": 8}, {\"weight\": 1575, \"source\": 4, \"target\": 5}, {\"weight\": 6236, \"source\": 4, \"target\": 6}, {\"weight\": 4341, \"source\": 4, \"target\": 7}, {\"weight\": 4547, \"source\": 4, \"target\": 8}, {\"weight\": 7769, \"source\": 5, \"target\": 6}, {\"weight\": 2848, \"source\": 5, \"target\": 7}, {\"weight\": 6061, \"source\": 5, \"target\": 8}, {\"weight\": 10569, \"source\": 6, \"target\": 7}, {\"weight\": 2932, \"source\": 6, \"target\": 8}, {\"weight\": 8861, \"source\": 7, \"target\": 8}]}",
"id": 1250,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSM, FDE, CPH, PIH, LYS, FEZ, URC, RAI, NYA\n- Travel distances (in kilometers) between each pair of airports:\nYSM to LYS: 8317\nYSM to FEZ: 9449\nYSM to URC: 12454\nYSM to CPH: 7816\nYSM to RAI: 9184\nYSM to PIH: 2396\nYSM to NYA: 10860\nYSM to FDE: 7287\nFDE to LYS: 1745\nFDE to FEZ: 3148\nFDE to URC: 5649\nFDE to CPH: 804\nFDE to RAI: 5677\nFDE to PIH: 8179\nFDE to NYA: 3824\nCPH to LYS: 1222\nCPH to FEZ: 2786\nCPH to URC: 5267\nCPH to RAI: 5470\nCPH to PIH: 8708\nCPH to NYA: 3585\nPIH to LYS: 8805\nPIH to FEZ: 9279\nPIH to URC: 12444\nPIH to RAI: 9070\nPIH to NYA: 11752\nLYS to FEZ: 1575\nLYS to URC: 6236\nLYS to RAI: 4341\nLYS to NYA: 4547\nFEZ to URC: 7769\nFEZ to RAI: 2848\nFEZ to NYA: 6061\nURC to RAI: 10569\nURC to NYA: 2932\nRAI to NYA: 8861\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ENH, TSH, MMY, RCH, KRR, LOK, AGP, CUR\n- Travel distances (in kilometers) between each pair of airports:\nHGN to CUR: 17018\nHGN to AGP: 10287\nHGN to LOK: 8221\nHGN to KRR: 6714\nHGN to ENH: 2608\nHGN to RCH: 18720\nHGN to MMY: 2947\nHGN to TSH: 10284\nENH to CUR: 15686\nENH to AGP: 10720\nENH to LOK: 9855\nENH to KRR: 7070\nENH to RCH: 17204\nENH to MMY: 1822\nENH to TSH: 11918\nTSH to CUR: 11986\nTSH to AGP: 5939\nTSH to LOK: 3093\nTSH to KRR: 6834\nTSH to RCH: 12695\nTSH to MMY: 12513\nMMY to CUR: 15739\nMMY to AGP: 11532\nMMY to LOK: 10450\nMMY to KRR: 7982\nMMY to RCH: 16911\nRCH to CUR: 1778\nRCH to AGP: 8764\nRCH to LOK: 14778\nRCH to KRR: 12202\nKRR to CUR: 10431\nKRR to AGP: 3833\nKRR to LOK: 5766\nLOK to CUR: 13859\nLOK to AGP: 7700\nAGP to CUR: 7247\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48706,
"style": "rule"
}
|
{
"exact_answer": 48706,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HGN\", \"id\": 0}, {\"name\": \"ENH\", \"id\": 1}, {\"name\": \"TSH\", \"id\": 2}, {\"name\": \"MMY\", \"id\": 3}, {\"name\": \"RCH\", \"id\": 4}, {\"name\": \"KRR\", \"id\": 5}, {\"name\": \"LOK\", \"id\": 6}, {\"name\": \"AGP\", \"id\": 7}, {\"name\": \"CUR\", \"id\": 8}], \"links\": [{\"weight\": 17018, \"source\": 0, \"target\": 8}, {\"weight\": 10287, \"source\": 0, \"target\": 7}, {\"weight\": 8221, \"source\": 0, \"target\": 6}, {\"weight\": 6714, \"source\": 0, \"target\": 5}, {\"weight\": 2608, \"source\": 0, \"target\": 1}, {\"weight\": 18720, \"source\": 0, \"target\": 4}, {\"weight\": 2947, \"source\": 0, \"target\": 3}, {\"weight\": 10284, \"source\": 0, \"target\": 2}, {\"weight\": 15686, \"source\": 1, \"target\": 8}, {\"weight\": 10720, \"source\": 1, \"target\": 7}, {\"weight\": 9855, \"source\": 1, \"target\": 6}, {\"weight\": 7070, \"source\": 1, \"target\": 5}, {\"weight\": 17204, \"source\": 1, \"target\": 4}, {\"weight\": 1822, \"source\": 1, \"target\": 3}, {\"weight\": 11918, \"source\": 1, \"target\": 2}, {\"weight\": 11986, \"source\": 2, \"target\": 8}, {\"weight\": 5939, \"source\": 2, \"target\": 7}, {\"weight\": 3093, \"source\": 2, \"target\": 6}, {\"weight\": 6834, \"source\": 2, \"target\": 5}, {\"weight\": 12695, \"source\": 2, \"target\": 4}, {\"weight\": 12513, \"source\": 2, \"target\": 3}, {\"weight\": 15739, \"source\": 3, \"target\": 8}, {\"weight\": 11532, \"source\": 3, \"target\": 7}, {\"weight\": 10450, \"source\": 3, \"target\": 6}, {\"weight\": 7982, \"source\": 3, \"target\": 5}, {\"weight\": 16911, \"source\": 3, \"target\": 4}, {\"weight\": 1778, \"source\": 4, \"target\": 8}, {\"weight\": 8764, \"source\": 4, \"target\": 7}, {\"weight\": 14778, \"source\": 4, \"target\": 6}, {\"weight\": 12202, \"source\": 4, \"target\": 5}, {\"weight\": 10431, \"source\": 5, \"target\": 8}, {\"weight\": 3833, \"source\": 5, \"target\": 7}, {\"weight\": 5766, \"source\": 5, \"target\": 6}, {\"weight\": 13859, \"source\": 6, \"target\": 8}, {\"weight\": 7700, \"source\": 6, \"target\": 7}, {\"weight\": 7247, \"source\": 7, \"target\": 8}]}",
"id": 1251,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ENH, TSH, MMY, RCH, KRR, LOK, AGP, CUR\n- Travel distances (in kilometers) between each pair of airports:\nHGN to CUR: 17018\nHGN to AGP: 10287\nHGN to LOK: 8221\nHGN to KRR: 6714\nHGN to ENH: 2608\nHGN to RCH: 18720\nHGN to MMY: 2947\nHGN to TSH: 10284\nENH to CUR: 15686\nENH to AGP: 10720\nENH to LOK: 9855\nENH to KRR: 7070\nENH to RCH: 17204\nENH to MMY: 1822\nENH to TSH: 11918\nTSH to CUR: 11986\nTSH to AGP: 5939\nTSH to LOK: 3093\nTSH to KRR: 6834\nTSH to RCH: 12695\nTSH to MMY: 12513\nMMY to CUR: 15739\nMMY to AGP: 11532\nMMY to LOK: 10450\nMMY to KRR: 7982\nMMY to RCH: 16911\nRCH to CUR: 1778\nRCH to AGP: 8764\nRCH to LOK: 14778\nRCH to KRR: 12202\nKRR to CUR: 10431\nKRR to AGP: 3833\nKRR to LOK: 5766\nLOK to CUR: 13859\nLOK to AGP: 7700\nAGP to CUR: 7247\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOI, CUM, MGM, ATL, LGK, NQN, PKR, BMI, CUK\n- Travel distances (in kilometers) between each pair of airports:\nBOI to ATL: 2967\nBOI to NQN: 10674\nBOI to CUK: 3981\nBOI to BMI: 2380\nBOI to MGM: 3053\nBOI to LGK: 13596\nBOI to CUM: 6296\nBOI to PKR: 12660\nCUM to ATL: 3430\nCUM to NQN: 6099\nCUM to CUK: 3119\nCUM to BMI: 4288\nCUM to MGM: 3666\nCUM to LGK: 18363\nCUM to PKR: 15470\nMGM to ATL: 236\nMGM to NQN: 8701\nMGM to CUK: 2103\nMGM to BMI: 1094\nMGM to LGK: 16152\nMGM to PKR: 14052\nATL to BMI: 858\nATL to NQN: 8465\nATL to CUK: 1867\nATL to LGK: 15916\nATL to PKR: 13816\nLGK to NQN: 19091\nLGK to CUK: 17521\nLGK to BMI: 15127\nLGK to PKR: 3437\nNQN to CUK: 6908\nNQN to BMI: 9323\nNQN to PKR: 17982\nPKR to CUK: 15668\nPKR to BMI: 13168\nBMI to CUK: 2725\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49810,
"style": "rule"
}
|
{
"exact_answer": 49810,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BOI\", \"id\": 0}, {\"name\": \"CUM\", \"id\": 1}, {\"name\": \"MGM\", \"id\": 2}, {\"name\": \"ATL\", \"id\": 3}, {\"name\": \"LGK\", \"id\": 4}, {\"name\": \"NQN\", \"id\": 5}, {\"name\": \"PKR\", \"id\": 6}, {\"name\": \"BMI\", \"id\": 7}, {\"name\": \"CUK\", \"id\": 8}], \"links\": [{\"weight\": 2967, \"source\": 0, \"target\": 3}, {\"weight\": 10674, \"source\": 0, \"target\": 5}, {\"weight\": 3981, \"source\": 0, \"target\": 8}, {\"weight\": 2380, \"source\": 0, \"target\": 7}, {\"weight\": 3053, \"source\": 0, \"target\": 2}, {\"weight\": 13596, \"source\": 0, \"target\": 4}, {\"weight\": 6296, \"source\": 0, \"target\": 1}, {\"weight\": 12660, \"source\": 0, \"target\": 6}, {\"weight\": 3430, \"source\": 1, \"target\": 3}, {\"weight\": 6099, \"source\": 1, \"target\": 5}, {\"weight\": 3119, \"source\": 1, \"target\": 8}, {\"weight\": 4288, \"source\": 1, \"target\": 7}, {\"weight\": 3666, \"source\": 1, \"target\": 2}, {\"weight\": 18363, \"source\": 1, \"target\": 4}, {\"weight\": 15470, \"source\": 1, \"target\": 6}, {\"weight\": 236, \"source\": 2, \"target\": 3}, {\"weight\": 8701, \"source\": 2, \"target\": 5}, {\"weight\": 2103, \"source\": 2, \"target\": 8}, {\"weight\": 1094, \"source\": 2, \"target\": 7}, {\"weight\": 16152, \"source\": 2, \"target\": 4}, {\"weight\": 14052, \"source\": 2, \"target\": 6}, {\"weight\": 858, \"source\": 3, \"target\": 7}, {\"weight\": 8465, \"source\": 3, \"target\": 5}, {\"weight\": 1867, \"source\": 3, \"target\": 8}, {\"weight\": 15916, \"source\": 3, \"target\": 4}, {\"weight\": 13816, \"source\": 3, \"target\": 6}, {\"weight\": 19091, \"source\": 4, \"target\": 5}, {\"weight\": 17521, \"source\": 4, \"target\": 8}, {\"weight\": 15127, \"source\": 4, \"target\": 7}, {\"weight\": 3437, \"source\": 4, \"target\": 6}, {\"weight\": 6908, \"source\": 5, \"target\": 8}, {\"weight\": 9323, \"source\": 5, \"target\": 7}, {\"weight\": 17982, \"source\": 5, \"target\": 6}, {\"weight\": 15668, \"source\": 6, \"target\": 8}, {\"weight\": 13168, \"source\": 6, \"target\": 7}, {\"weight\": 2725, \"source\": 7, \"target\": 8}]}",
"id": 1252,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOI, CUM, MGM, ATL, LGK, NQN, PKR, BMI, CUK\n- Travel distances (in kilometers) between each pair of airports:\nBOI to ATL: 2967\nBOI to NQN: 10674\nBOI to CUK: 3981\nBOI to BMI: 2380\nBOI to MGM: 3053\nBOI to LGK: 13596\nBOI to CUM: 6296\nBOI to PKR: 12660\nCUM to ATL: 3430\nCUM to NQN: 6099\nCUM to CUK: 3119\nCUM to BMI: 4288\nCUM to MGM: 3666\nCUM to LGK: 18363\nCUM to PKR: 15470\nMGM to ATL: 236\nMGM to NQN: 8701\nMGM to CUK: 2103\nMGM to BMI: 1094\nMGM to LGK: 16152\nMGM to PKR: 14052\nATL to BMI: 858\nATL to NQN: 8465\nATL to CUK: 1867\nATL to LGK: 15916\nATL to PKR: 13816\nLGK to NQN: 19091\nLGK to CUK: 17521\nLGK to BMI: 15127\nLGK to PKR: 3437\nNQN to CUK: 6908\nNQN to BMI: 9323\nNQN to PKR: 17982\nPKR to CUK: 15668\nPKR to BMI: 13168\nBMI to CUK: 2725\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXR, LUK, IXL, MIG, CAH, ILY, MTJ, DIU, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nAXR to MIG: 13188\nAXR to DIU: 16826\nAXR to IXL: 16380\nAXR to SRQ: 10861\nAXR to ILY: 15553\nAXR to LUK: 10241\nAXR to MTJ: 8720\nAXR to CAH: 13624\nLUK to MIG: 12858\nLUK to DIU: 13935\nLUK to IXL: 13074\nLUK to SRQ: 1412\nLUK to ILY: 6517\nLUK to MTJ: 2161\nLUK to CAH: 15062\nIXL to MIG: 3351\nIXL to DIU: 2030\nIXL to SRQ: 13625\nIXL to ILY: 7305\nIXL to MTJ: 13826\nIXL to CAH: 4523\nMIG to DIU: 3781\nMIG to SRQ: 13689\nMIG to ILY: 8702\nMIG to MTJ: 12031\nMIG to CAH: 2600\nCAH to DIU: 4261\nCAH to SRQ: 15893\nCAH to ILY: 10844\nCAH to MTJ: 14107\nILY to DIU: 7905\nILY to SRQ: 6987\nILY to MTJ: 7503\nMTJ to DIU: 14854\nMTJ to SRQ: 2956\nDIU to SRQ: 14508\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48620,
"style": "rule"
}
|
{
"exact_answer": 48620,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AXR\", \"id\": 0}, {\"name\": \"LUK\", \"id\": 1}, {\"name\": \"IXL\", \"id\": 2}, {\"name\": \"MIG\", \"id\": 3}, {\"name\": \"CAH\", \"id\": 4}, {\"name\": \"ILY\", \"id\": 5}, {\"name\": \"MTJ\", \"id\": 6}, {\"name\": \"DIU\", \"id\": 7}, {\"name\": \"SRQ\", \"id\": 8}], \"links\": [{\"weight\": 13188, \"source\": 0, \"target\": 3}, {\"weight\": 16826, \"source\": 0, \"target\": 7}, {\"weight\": 16380, \"source\": 0, \"target\": 2}, {\"weight\": 10861, \"source\": 0, \"target\": 8}, {\"weight\": 15553, \"source\": 0, \"target\": 5}, {\"weight\": 10241, \"source\": 0, \"target\": 1}, {\"weight\": 8720, \"source\": 0, \"target\": 6}, {\"weight\": 13624, \"source\": 0, \"target\": 4}, {\"weight\": 12858, \"source\": 1, \"target\": 3}, {\"weight\": 13935, \"source\": 1, \"target\": 7}, {\"weight\": 13074, \"source\": 1, \"target\": 2}, {\"weight\": 1412, \"source\": 1, \"target\": 8}, {\"weight\": 6517, \"source\": 1, \"target\": 5}, {\"weight\": 2161, \"source\": 1, \"target\": 6}, {\"weight\": 15062, \"source\": 1, \"target\": 4}, {\"weight\": 3351, \"source\": 2, \"target\": 3}, {\"weight\": 2030, \"source\": 2, \"target\": 7}, {\"weight\": 13625, \"source\": 2, \"target\": 8}, {\"weight\": 7305, \"source\": 2, \"target\": 5}, {\"weight\": 13826, \"source\": 2, \"target\": 6}, {\"weight\": 4523, \"source\": 2, \"target\": 4}, {\"weight\": 3781, \"source\": 3, \"target\": 7}, {\"weight\": 13689, \"source\": 3, \"target\": 8}, {\"weight\": 8702, \"source\": 3, \"target\": 5}, {\"weight\": 12031, \"source\": 3, \"target\": 6}, {\"weight\": 2600, \"source\": 3, \"target\": 4}, {\"weight\": 4261, \"source\": 4, \"target\": 7}, {\"weight\": 15893, \"source\": 4, \"target\": 8}, {\"weight\": 10844, \"source\": 4, \"target\": 5}, {\"weight\": 14107, \"source\": 4, \"target\": 6}, {\"weight\": 7905, \"source\": 5, \"target\": 7}, {\"weight\": 6987, \"source\": 5, \"target\": 8}, {\"weight\": 7503, \"source\": 5, \"target\": 6}, {\"weight\": 14854, \"source\": 6, \"target\": 7}, {\"weight\": 2956, \"source\": 6, \"target\": 8}, {\"weight\": 14508, \"source\": 7, \"target\": 8}]}",
"id": 1253,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXR, LUK, IXL, MIG, CAH, ILY, MTJ, DIU, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nAXR to MIG: 13188\nAXR to DIU: 16826\nAXR to IXL: 16380\nAXR to SRQ: 10861\nAXR to ILY: 15553\nAXR to LUK: 10241\nAXR to MTJ: 8720\nAXR to CAH: 13624\nLUK to MIG: 12858\nLUK to DIU: 13935\nLUK to IXL: 13074\nLUK to SRQ: 1412\nLUK to ILY: 6517\nLUK to MTJ: 2161\nLUK to CAH: 15062\nIXL to MIG: 3351\nIXL to DIU: 2030\nIXL to SRQ: 13625\nIXL to ILY: 7305\nIXL to MTJ: 13826\nIXL to CAH: 4523\nMIG to DIU: 3781\nMIG to SRQ: 13689\nMIG to ILY: 8702\nMIG to MTJ: 12031\nMIG to CAH: 2600\nCAH to DIU: 4261\nCAH to SRQ: 15893\nCAH to ILY: 10844\nCAH to MTJ: 14107\nILY to DIU: 7905\nILY to SRQ: 6987\nILY to MTJ: 7503\nMTJ to DIU: 14854\nMTJ to SRQ: 2956\nDIU to SRQ: 14508\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, XRY, SZE, AUA, ALG, KAO, OUZ, MIR, PKR\n- Travel distances (in kilometers) between each pair of airports:\nIAO to AUA: 17276\nIAO to ALG: 12183\nIAO to XRY: 12879\nIAO to KAO: 10413\nIAO to MIR: 11744\nIAO to SZE: 10077\nIAO to OUZ: 14470\nIAO to PKR: 5002\nXRY to AUA: 7284\nXRY to ALG: 1149\nXRY to KAO: 4079\nXRY to MIR: 1854\nXRY to SZE: 6505\nXRY to OUZ: 1874\nXRY to PKR: 8491\nSZE to AUA: 13426\nSZE to ALG: 5517\nSZE to KAO: 6827\nSZE to MIR: 4972\nSZE to OUZ: 7142\nSZE to PKR: 5852\nAUA to ALG: 8001\nAUA to KAO: 10064\nAUA to MIR: 8687\nAUA to OUZ: 7428\nAUA to PKR: 15201\nALG to KAO: 3709\nALG to MIR: 754\nALG to OUZ: 2322\nALG to PKR: 7706\nKAO to MIR: 3604\nKAO to OUZ: 5752\nKAO to PKR: 6848\nOUZ to MIR: 3066\nOUZ to PKR: 10027\nMIR to PKR: 7248\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47508,
"style": "rule"
}
|
{
"exact_answer": 47508,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAO\", \"id\": 0}, {\"name\": \"XRY\", \"id\": 1}, {\"name\": \"SZE\", \"id\": 2}, {\"name\": \"AUA\", \"id\": 3}, {\"name\": \"ALG\", \"id\": 4}, {\"name\": \"KAO\", \"id\": 5}, {\"name\": \"OUZ\", \"id\": 6}, {\"name\": \"MIR\", \"id\": 7}, {\"name\": \"PKR\", \"id\": 8}], \"links\": [{\"weight\": 17276, \"source\": 0, \"target\": 3}, {\"weight\": 12183, \"source\": 0, \"target\": 4}, {\"weight\": 12879, \"source\": 0, \"target\": 1}, {\"weight\": 10413, \"source\": 0, \"target\": 5}, {\"weight\": 11744, \"source\": 0, \"target\": 7}, {\"weight\": 10077, \"source\": 0, \"target\": 2}, {\"weight\": 14470, \"source\": 0, \"target\": 6}, {\"weight\": 5002, \"source\": 0, \"target\": 8}, {\"weight\": 7284, \"source\": 1, \"target\": 3}, {\"weight\": 1149, \"source\": 1, \"target\": 4}, {\"weight\": 4079, \"source\": 1, \"target\": 5}, {\"weight\": 1854, \"source\": 1, \"target\": 7}, {\"weight\": 6505, \"source\": 1, \"target\": 2}, {\"weight\": 1874, \"source\": 1, \"target\": 6}, {\"weight\": 8491, \"source\": 1, \"target\": 8}, {\"weight\": 13426, \"source\": 2, \"target\": 3}, {\"weight\": 5517, \"source\": 2, \"target\": 4}, {\"weight\": 6827, \"source\": 2, \"target\": 5}, {\"weight\": 4972, \"source\": 2, \"target\": 7}, {\"weight\": 7142, \"source\": 2, \"target\": 6}, {\"weight\": 5852, \"source\": 2, \"target\": 8}, {\"weight\": 8001, \"source\": 3, \"target\": 4}, {\"weight\": 10064, \"source\": 3, \"target\": 5}, {\"weight\": 8687, \"source\": 3, \"target\": 7}, {\"weight\": 7428, \"source\": 3, \"target\": 6}, {\"weight\": 15201, \"source\": 3, \"target\": 8}, {\"weight\": 3709, \"source\": 4, \"target\": 5}, {\"weight\": 754, \"source\": 4, \"target\": 7}, {\"weight\": 2322, \"source\": 4, \"target\": 6}, {\"weight\": 7706, \"source\": 4, \"target\": 8}, {\"weight\": 3604, \"source\": 5, \"target\": 7}, {\"weight\": 5752, \"source\": 5, \"target\": 6}, {\"weight\": 6848, \"source\": 5, \"target\": 8}, {\"weight\": 3066, \"source\": 6, \"target\": 7}, {\"weight\": 10027, \"source\": 6, \"target\": 8}, {\"weight\": 7248, \"source\": 7, \"target\": 8}]}",
"id": 1254,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, XRY, SZE, AUA, ALG, KAO, OUZ, MIR, PKR\n- Travel distances (in kilometers) between each pair of airports:\nIAO to AUA: 17276\nIAO to ALG: 12183\nIAO to XRY: 12879\nIAO to KAO: 10413\nIAO to MIR: 11744\nIAO to SZE: 10077\nIAO to OUZ: 14470\nIAO to PKR: 5002\nXRY to AUA: 7284\nXRY to ALG: 1149\nXRY to KAO: 4079\nXRY to MIR: 1854\nXRY to SZE: 6505\nXRY to OUZ: 1874\nXRY to PKR: 8491\nSZE to AUA: 13426\nSZE to ALG: 5517\nSZE to KAO: 6827\nSZE to MIR: 4972\nSZE to OUZ: 7142\nSZE to PKR: 5852\nAUA to ALG: 8001\nAUA to KAO: 10064\nAUA to MIR: 8687\nAUA to OUZ: 7428\nAUA to PKR: 15201\nALG to KAO: 3709\nALG to MIR: 754\nALG to OUZ: 2322\nALG to PKR: 7706\nKAO to MIR: 3604\nKAO to OUZ: 5752\nKAO to PKR: 6848\nOUZ to MIR: 3066\nOUZ to PKR: 10027\nMIR to PKR: 7248\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, GDN, TLT, FEZ, VUS, IRZ, UDI, ZSA, STG\n- Travel distances (in kilometers) between each pair of airports:\nEMK to UDI: 13401\nEMK to FEZ: 12325\nEMK to TLT: 321\nEMK to GDN: 11488\nEMK to ZSA: 7822\nEMK to IRZ: 12025\nEMK to STG: 2070\nEMK to VUS: 12643\nGDN to UDI: 10329\nGDN to FEZ: 2917\nGDN to TLT: 11349\nGDN to ZSA: 8598\nGDN to IRZ: 11033\nGDN to STG: 11886\nGDN to VUS: 1993\nTLT to UDI: 13262\nTLT to FEZ: 12186\nTLT to ZSA: 7683\nTLT to IRZ: 11886\nTLT to STG: 1931\nTLT to VUS: 12504\nFEZ to UDI: 7535\nFEZ to ZSA: 8127\nFEZ to IRZ: 8751\nFEZ to STG: 12723\nFEZ to VUS: 4726\nVUS to UDI: 12121\nVUS to ZSA: 9876\nVUS to IRZ: 12694\nVUS to STG: 13041\nIRZ to UDI: 3138\nIRZ to ZSA: 4575\nIRZ to STG: 12423\nUDI to ZSA: 5977\nUDI to STG: 13799\nZSA to STG: 8220\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43273,
"style": "rule"
}
|
{
"exact_answer": 43273,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EMK\", \"id\": 0}, {\"name\": \"GDN\", \"id\": 1}, {\"name\": \"TLT\", \"id\": 2}, {\"name\": \"FEZ\", \"id\": 3}, {\"name\": \"VUS\", \"id\": 4}, {\"name\": \"IRZ\", \"id\": 5}, {\"name\": \"UDI\", \"id\": 6}, {\"name\": \"ZSA\", \"id\": 7}, {\"name\": \"STG\", \"id\": 8}], \"links\": [{\"weight\": 13401, \"source\": 0, \"target\": 6}, {\"weight\": 12325, \"source\": 0, \"target\": 3}, {\"weight\": 321, \"source\": 0, \"target\": 2}, {\"weight\": 11488, \"source\": 0, \"target\": 1}, {\"weight\": 7822, \"source\": 0, \"target\": 7}, {\"weight\": 12025, \"source\": 0, \"target\": 5}, {\"weight\": 2070, \"source\": 0, \"target\": 8}, {\"weight\": 12643, \"source\": 0, \"target\": 4}, {\"weight\": 10329, \"source\": 1, \"target\": 6}, {\"weight\": 2917, \"source\": 1, \"target\": 3}, {\"weight\": 11349, \"source\": 1, \"target\": 2}, {\"weight\": 8598, \"source\": 1, \"target\": 7}, {\"weight\": 11033, \"source\": 1, \"target\": 5}, {\"weight\": 11886, \"source\": 1, \"target\": 8}, {\"weight\": 1993, \"source\": 1, \"target\": 4}, {\"weight\": 13262, \"source\": 2, \"target\": 6}, {\"weight\": 12186, \"source\": 2, \"target\": 3}, {\"weight\": 7683, \"source\": 2, \"target\": 7}, {\"weight\": 11886, \"source\": 2, \"target\": 5}, {\"weight\": 1931, \"source\": 2, \"target\": 8}, {\"weight\": 12504, \"source\": 2, \"target\": 4}, {\"weight\": 7535, \"source\": 3, \"target\": 6}, {\"weight\": 8127, \"source\": 3, \"target\": 7}, {\"weight\": 8751, \"source\": 3, \"target\": 5}, {\"weight\": 12723, \"source\": 3, \"target\": 8}, {\"weight\": 4726, \"source\": 3, \"target\": 4}, {\"weight\": 12121, \"source\": 4, \"target\": 6}, {\"weight\": 9876, \"source\": 4, \"target\": 7}, {\"weight\": 12694, \"source\": 4, \"target\": 5}, {\"weight\": 13041, \"source\": 4, \"target\": 8}, {\"weight\": 3138, \"source\": 5, \"target\": 6}, {\"weight\": 4575, \"source\": 5, \"target\": 7}, {\"weight\": 12423, \"source\": 5, \"target\": 8}, {\"weight\": 5977, \"source\": 6, \"target\": 7}, {\"weight\": 13799, \"source\": 6, \"target\": 8}, {\"weight\": 8220, \"source\": 7, \"target\": 8}]}",
"id": 1255,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, GDN, TLT, FEZ, VUS, IRZ, UDI, ZSA, STG\n- Travel distances (in kilometers) between each pair of airports:\nEMK to UDI: 13401\nEMK to FEZ: 12325\nEMK to TLT: 321\nEMK to GDN: 11488\nEMK to ZSA: 7822\nEMK to IRZ: 12025\nEMK to STG: 2070\nEMK to VUS: 12643\nGDN to UDI: 10329\nGDN to FEZ: 2917\nGDN to TLT: 11349\nGDN to ZSA: 8598\nGDN to IRZ: 11033\nGDN to STG: 11886\nGDN to VUS: 1993\nTLT to UDI: 13262\nTLT to FEZ: 12186\nTLT to ZSA: 7683\nTLT to IRZ: 11886\nTLT to STG: 1931\nTLT to VUS: 12504\nFEZ to UDI: 7535\nFEZ to ZSA: 8127\nFEZ to IRZ: 8751\nFEZ to STG: 12723\nFEZ to VUS: 4726\nVUS to UDI: 12121\nVUS to ZSA: 9876\nVUS to IRZ: 12694\nVUS to STG: 13041\nIRZ to UDI: 3138\nIRZ to ZSA: 4575\nIRZ to STG: 12423\nUDI to ZSA: 5977\nUDI to STG: 13799\nZSA to STG: 8220\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYO, HNH, HYD, KCC, OMS, CVG, MDK, IWK, BSC\n- Travel distances (in kilometers) between each pair of airports:\nSYO to HYD: 6752\nSYO to CVG: 11176\nSYO to BSC: 14919\nSYO to MDK: 14342\nSYO to OMS: 6044\nSYO to HNH: 9589\nSYO to KCC: 9266\nSYO to IWK: 1067\nHNH to HYD: 14977\nHNH to CVG: 4702\nHNH to BSC: 8362\nHNH to MDK: 16214\nHNH to OMS: 12656\nHNH to KCC: 533\nHNH to IWK: 9932\nHYD to CVG: 13572\nHYD to BSC: 16612\nHYD to MDK: 8019\nHYD to OMS: 4374\nHYD to KCC: 14654\nHYD to IWK: 7095\nKCC to CVG: 4379\nKCC to BSC: 8039\nKCC to MDK: 15891\nKCC to OMS: 12333\nKCC to IWK: 9609\nOMS to CVG: 10163\nOMS to BSC: 13382\nOMS to MDK: 9500\nOMS to IWK: 6387\nCVG to BSC: 4350\nCVG to MDK: 11789\nCVG to IWK: 11519\nMDK to BSC: 12309\nMDK to IWK: 14685\nIWK to BSC: 15262\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51007,
"style": "rule"
}
|
{
"exact_answer": 51007,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SYO\", \"id\": 0}, {\"name\": \"HNH\", \"id\": 1}, {\"name\": \"HYD\", \"id\": 2}, {\"name\": \"KCC\", \"id\": 3}, {\"name\": \"OMS\", \"id\": 4}, {\"name\": \"CVG\", \"id\": 5}, {\"name\": \"MDK\", \"id\": 6}, {\"name\": \"IWK\", \"id\": 7}, {\"name\": \"BSC\", \"id\": 8}], \"links\": [{\"weight\": 6752, \"source\": 0, \"target\": 2}, {\"weight\": 11176, \"source\": 0, \"target\": 5}, {\"weight\": 14919, \"source\": 0, \"target\": 8}, {\"weight\": 14342, \"source\": 0, \"target\": 6}, {\"weight\": 6044, \"source\": 0, \"target\": 4}, {\"weight\": 9589, \"source\": 0, \"target\": 1}, {\"weight\": 9266, \"source\": 0, \"target\": 3}, {\"weight\": 1067, \"source\": 0, \"target\": 7}, {\"weight\": 14977, \"source\": 1, \"target\": 2}, {\"weight\": 4702, \"source\": 1, \"target\": 5}, {\"weight\": 8362, \"source\": 1, \"target\": 8}, {\"weight\": 16214, \"source\": 1, \"target\": 6}, {\"weight\": 12656, \"source\": 1, \"target\": 4}, {\"weight\": 533, \"source\": 1, \"target\": 3}, {\"weight\": 9932, \"source\": 1, \"target\": 7}, {\"weight\": 13572, \"source\": 2, \"target\": 5}, {\"weight\": 16612, \"source\": 2, \"target\": 8}, {\"weight\": 8019, \"source\": 2, \"target\": 6}, {\"weight\": 4374, \"source\": 2, \"target\": 4}, {\"weight\": 14654, \"source\": 2, \"target\": 3}, {\"weight\": 7095, \"source\": 2, \"target\": 7}, {\"weight\": 4379, \"source\": 3, \"target\": 5}, {\"weight\": 8039, \"source\": 3, \"target\": 8}, {\"weight\": 15891, \"source\": 3, \"target\": 6}, {\"weight\": 12333, \"source\": 3, \"target\": 4}, {\"weight\": 9609, \"source\": 3, \"target\": 7}, {\"weight\": 10163, \"source\": 4, \"target\": 5}, {\"weight\": 13382, \"source\": 4, \"target\": 8}, {\"weight\": 9500, \"source\": 4, \"target\": 6}, {\"weight\": 6387, \"source\": 4, \"target\": 7}, {\"weight\": 4350, \"source\": 5, \"target\": 8}, {\"weight\": 11789, \"source\": 5, \"target\": 6}, {\"weight\": 11519, \"source\": 5, \"target\": 7}, {\"weight\": 12309, \"source\": 6, \"target\": 8}, {\"weight\": 14685, \"source\": 6, \"target\": 7}, {\"weight\": 15262, \"source\": 7, \"target\": 8}]}",
"id": 1256,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYO, HNH, HYD, KCC, OMS, CVG, MDK, IWK, BSC\n- Travel distances (in kilometers) between each pair of airports:\nSYO to HYD: 6752\nSYO to CVG: 11176\nSYO to BSC: 14919\nSYO to MDK: 14342\nSYO to OMS: 6044\nSYO to HNH: 9589\nSYO to KCC: 9266\nSYO to IWK: 1067\nHNH to HYD: 14977\nHNH to CVG: 4702\nHNH to BSC: 8362\nHNH to MDK: 16214\nHNH to OMS: 12656\nHNH to KCC: 533\nHNH to IWK: 9932\nHYD to CVG: 13572\nHYD to BSC: 16612\nHYD to MDK: 8019\nHYD to OMS: 4374\nHYD to KCC: 14654\nHYD to IWK: 7095\nKCC to CVG: 4379\nKCC to BSC: 8039\nKCC to MDK: 15891\nKCC to OMS: 12333\nKCC to IWK: 9609\nOMS to CVG: 10163\nOMS to BSC: 13382\nOMS to MDK: 9500\nOMS to IWK: 6387\nCVG to BSC: 4350\nCVG to MDK: 11789\nCVG to IWK: 11519\nMDK to BSC: 12309\nMDK to IWK: 14685\nIWK to BSC: 15262\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRF, BOC, SPU, AMH, SMR, VRC, WNZ, GRV, YQT\n- Travel distances (in kilometers) between each pair of airports:\nKRF to WNZ: 8476\nKRF to SPU: 2171\nKRF to BOC: 10403\nKRF to VRC: 10089\nKRF to GRV: 3166\nKRF to YQT: 7600\nKRF to SMR: 10904\nKRF to AMH: 6629\nBOC to WNZ: 15269\nBOC to SPU: 10377\nBOC to VRC: 16708\nBOC to GRV: 12767\nBOC to YQT: 4907\nBOC to SMR: 1874\nBOC to AMH: 14887\nSPU to WNZ: 9266\nSPU to VRC: 10664\nSPU to GRV: 3608\nSPU to YQT: 8145\nSPU to SMR: 10309\nSPU to AMH: 4827\nAMH to WNZ: 9157\nAMH to VRC: 9655\nAMH to GRV: 7011\nAMH to YQT: 12764\nAMH to SMR: 14738\nSMR to WNZ: 16441\nSMR to VRC: 18044\nSMR to GRV: 13013\nSMR to YQT: 5704\nVRC to WNZ: 1852\nVRC to GRV: 10067\nVRC to YQT: 13147\nWNZ to GRV: 8646\nWNZ to YQT: 11850\nGRV to YQT: 9916\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52643,
"style": "rule"
}
|
{
"exact_answer": 52643,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRF\", \"id\": 0}, {\"name\": \"BOC\", \"id\": 1}, {\"name\": \"SPU\", \"id\": 2}, {\"name\": \"AMH\", \"id\": 3}, {\"name\": \"SMR\", \"id\": 4}, {\"name\": \"VRC\", \"id\": 5}, {\"name\": \"WNZ\", \"id\": 6}, {\"name\": \"GRV\", \"id\": 7}, {\"name\": \"YQT\", \"id\": 8}], \"links\": [{\"weight\": 8476, \"source\": 0, \"target\": 6}, {\"weight\": 2171, \"source\": 0, \"target\": 2}, {\"weight\": 10403, \"source\": 0, \"target\": 1}, {\"weight\": 10089, \"source\": 0, \"target\": 5}, {\"weight\": 3166, \"source\": 0, \"target\": 7}, {\"weight\": 7600, \"source\": 0, \"target\": 8}, {\"weight\": 10904, \"source\": 0, \"target\": 4}, {\"weight\": 6629, \"source\": 0, \"target\": 3}, {\"weight\": 15269, \"source\": 1, \"target\": 6}, {\"weight\": 10377, \"source\": 1, \"target\": 2}, {\"weight\": 16708, \"source\": 1, \"target\": 5}, {\"weight\": 12767, \"source\": 1, \"target\": 7}, {\"weight\": 4907, \"source\": 1, \"target\": 8}, {\"weight\": 1874, \"source\": 1, \"target\": 4}, {\"weight\": 14887, \"source\": 1, \"target\": 3}, {\"weight\": 9266, \"source\": 2, \"target\": 6}, {\"weight\": 10664, \"source\": 2, \"target\": 5}, {\"weight\": 3608, \"source\": 2, \"target\": 7}, {\"weight\": 8145, \"source\": 2, \"target\": 8}, {\"weight\": 10309, \"source\": 2, \"target\": 4}, {\"weight\": 4827, \"source\": 2, \"target\": 3}, {\"weight\": 9157, \"source\": 3, \"target\": 6}, {\"weight\": 9655, \"source\": 3, \"target\": 5}, {\"weight\": 7011, \"source\": 3, \"target\": 7}, {\"weight\": 12764, \"source\": 3, \"target\": 8}, {\"weight\": 14738, \"source\": 3, \"target\": 4}, {\"weight\": 16441, \"source\": 4, \"target\": 6}, {\"weight\": 18044, \"source\": 4, \"target\": 5}, {\"weight\": 13013, \"source\": 4, \"target\": 7}, {\"weight\": 5704, \"source\": 4, \"target\": 8}, {\"weight\": 1852, \"source\": 5, \"target\": 6}, {\"weight\": 10067, \"source\": 5, \"target\": 7}, {\"weight\": 13147, \"source\": 5, \"target\": 8}, {\"weight\": 8646, \"source\": 6, \"target\": 7}, {\"weight\": 11850, \"source\": 6, \"target\": 8}, {\"weight\": 9916, \"source\": 7, \"target\": 8}]}",
"id": 1257,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRF, BOC, SPU, AMH, SMR, VRC, WNZ, GRV, YQT\n- Travel distances (in kilometers) between each pair of airports:\nKRF to WNZ: 8476\nKRF to SPU: 2171\nKRF to BOC: 10403\nKRF to VRC: 10089\nKRF to GRV: 3166\nKRF to YQT: 7600\nKRF to SMR: 10904\nKRF to AMH: 6629\nBOC to WNZ: 15269\nBOC to SPU: 10377\nBOC to VRC: 16708\nBOC to GRV: 12767\nBOC to YQT: 4907\nBOC to SMR: 1874\nBOC to AMH: 14887\nSPU to WNZ: 9266\nSPU to VRC: 10664\nSPU to GRV: 3608\nSPU to YQT: 8145\nSPU to SMR: 10309\nSPU to AMH: 4827\nAMH to WNZ: 9157\nAMH to VRC: 9655\nAMH to GRV: 7011\nAMH to YQT: 12764\nAMH to SMR: 14738\nSMR to WNZ: 16441\nSMR to VRC: 18044\nSMR to GRV: 13013\nSMR to YQT: 5704\nVRC to WNZ: 1852\nVRC to GRV: 10067\nVRC to YQT: 13147\nWNZ to GRV: 8646\nWNZ to YQT: 11850\nGRV to YQT: 9916\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DEC, MEX, DXB, AXK, MKQ, SVB, PSA, GRK, LBD\n- Travel distances (in kilometers) between each pair of airports:\nDEC to DXB: 11891\nDEC to MEX: 2482\nDEC to PSA: 7774\nDEC to LBD: 11268\nDEC to GRK: 1277\nDEC to AXK: 12510\nDEC to MKQ: 18777\nDEC to SVB: 15586\nMEX to DXB: 14328\nMEX to PSA: 10029\nMEX to LBD: 13636\nMEX to GRK: 1497\nMEX to AXK: 14751\nMEX to MKQ: 19681\nMEX to SVB: 17413\nDXB to PSA: 4562\nDXB to LBD: 4940\nDXB to GRK: 13135\nDXB to AXK: 1887\nDXB to MKQ: 10640\nDXB to SVB: 5490\nAXK to PSA: 4788\nAXK to LBD: 6250\nAXK to GRK: 13755\nAXK to MKQ: 12077\nAXK to SVB: 4247\nMKQ to PSA: 15028\nMKQ to LBD: 11106\nMKQ to GRK: 19028\nMKQ to SVB: 11916\nSVB to PSA: 8045\nSVB to LBD: 9783\nSVB to GRK: 16559\nPSA to LBD: 4856\nPSA to GRK: 9006\nGRK to LBD: 12523\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57789,
"style": "rule"
}
|
{
"exact_answer": 57789,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DEC\", \"id\": 0}, {\"name\": \"MEX\", \"id\": 1}, {\"name\": \"DXB\", \"id\": 2}, {\"name\": \"AXK\", \"id\": 3}, {\"name\": \"MKQ\", \"id\": 4}, {\"name\": \"SVB\", \"id\": 5}, {\"name\": \"PSA\", \"id\": 6}, {\"name\": \"GRK\", \"id\": 7}, {\"name\": \"LBD\", \"id\": 8}], \"links\": [{\"weight\": 11891, \"source\": 0, \"target\": 2}, {\"weight\": 2482, \"source\": 0, \"target\": 1}, {\"weight\": 7774, \"source\": 0, \"target\": 6}, {\"weight\": 11268, \"source\": 0, \"target\": 8}, {\"weight\": 1277, \"source\": 0, \"target\": 7}, {\"weight\": 12510, \"source\": 0, \"target\": 3}, {\"weight\": 18777, \"source\": 0, \"target\": 4}, {\"weight\": 15586, \"source\": 0, \"target\": 5}, {\"weight\": 14328, \"source\": 1, \"target\": 2}, {\"weight\": 10029, \"source\": 1, \"target\": 6}, {\"weight\": 13636, \"source\": 1, \"target\": 8}, {\"weight\": 1497, \"source\": 1, \"target\": 7}, {\"weight\": 14751, \"source\": 1, \"target\": 3}, {\"weight\": 19681, \"source\": 1, \"target\": 4}, {\"weight\": 17413, \"source\": 1, \"target\": 5}, {\"weight\": 4562, \"source\": 2, \"target\": 6}, {\"weight\": 4940, \"source\": 2, \"target\": 8}, {\"weight\": 13135, \"source\": 2, \"target\": 7}, {\"weight\": 1887, \"source\": 2, \"target\": 3}, {\"weight\": 10640, \"source\": 2, \"target\": 4}, {\"weight\": 5490, \"source\": 2, \"target\": 5}, {\"weight\": 4788, \"source\": 3, \"target\": 6}, {\"weight\": 6250, \"source\": 3, \"target\": 8}, {\"weight\": 13755, \"source\": 3, \"target\": 7}, {\"weight\": 12077, \"source\": 3, \"target\": 4}, {\"weight\": 4247, \"source\": 3, \"target\": 5}, {\"weight\": 15028, \"source\": 4, \"target\": 6}, {\"weight\": 11106, \"source\": 4, \"target\": 8}, {\"weight\": 19028, \"source\": 4, \"target\": 7}, {\"weight\": 11916, \"source\": 4, \"target\": 5}, {\"weight\": 8045, \"source\": 5, \"target\": 6}, {\"weight\": 9783, \"source\": 5, \"target\": 8}, {\"weight\": 16559, \"source\": 5, \"target\": 7}, {\"weight\": 4856, \"source\": 6, \"target\": 8}, {\"weight\": 9006, \"source\": 6, \"target\": 7}, {\"weight\": 12523, \"source\": 7, \"target\": 8}]}",
"id": 1258,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DEC, MEX, DXB, AXK, MKQ, SVB, PSA, GRK, LBD\n- Travel distances (in kilometers) between each pair of airports:\nDEC to DXB: 11891\nDEC to MEX: 2482\nDEC to PSA: 7774\nDEC to LBD: 11268\nDEC to GRK: 1277\nDEC to AXK: 12510\nDEC to MKQ: 18777\nDEC to SVB: 15586\nMEX to DXB: 14328\nMEX to PSA: 10029\nMEX to LBD: 13636\nMEX to GRK: 1497\nMEX to AXK: 14751\nMEX to MKQ: 19681\nMEX to SVB: 17413\nDXB to PSA: 4562\nDXB to LBD: 4940\nDXB to GRK: 13135\nDXB to AXK: 1887\nDXB to MKQ: 10640\nDXB to SVB: 5490\nAXK to PSA: 4788\nAXK to LBD: 6250\nAXK to GRK: 13755\nAXK to MKQ: 12077\nAXK to SVB: 4247\nMKQ to PSA: 15028\nMKQ to LBD: 11106\nMKQ to GRK: 19028\nMKQ to SVB: 11916\nSVB to PSA: 8045\nSVB to LBD: 9783\nSVB to GRK: 16559\nPSA to LBD: 4856\nPSA to GRK: 9006\nGRK to LBD: 12523\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, EYK, LDU, AKL, TNO, LAO, SSA, ZYL, JHB\n- Travel distances (in kilometers) between each pair of airports:\nBAL to SSA: 10689\nBAL to EYK: 4347\nBAL to ZYL: 6591\nBAL to TNO: 12498\nBAL to LAO: 10101\nBAL to AKL: 17457\nBAL to JHB: 9004\nBAL to LDU: 10181\nEYK to SSA: 12191\nEYK to ZYL: 5723\nEYK to TNO: 12894\nEYK to LAO: 7852\nEYK to AKL: 15296\nEYK to JHB: 8077\nEYK to LDU: 8400\nLDU to SSA: 19093\nLDU to ZYL: 4030\nLDU to TNO: 17376\nLDU to LAO: 1776\nLDU to AKL: 8687\nLDU to JHB: 1724\nAKL to SSA: 13649\nAKL to ZYL: 11317\nAKL to TNO: 14757\nAKL to LAO: 8724\nAKL to JHB: 8508\nTNO to SSA: 6244\nTNO to ZYL: 16946\nTNO to LAO: 16422\nTNO to JHB: 18560\nLAO to SSA: 18994\nLAO to ZYL: 4159\nLAO to JHB: 2960\nSSA to ZYL: 15600\nSSA to JHB: 17653\nZYL to JHB: 3086\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57070,
"style": "rule"
}
|
{
"exact_answer": 57070,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BAL\", \"id\": 0}, {\"name\": \"EYK\", \"id\": 1}, {\"name\": \"LDU\", \"id\": 2}, {\"name\": \"AKL\", \"id\": 3}, {\"name\": \"TNO\", \"id\": 4}, {\"name\": \"LAO\", \"id\": 5}, {\"name\": \"SSA\", \"id\": 6}, {\"name\": \"ZYL\", \"id\": 7}, {\"name\": \"JHB\", \"id\": 8}], \"links\": [{\"weight\": 10689, \"source\": 0, \"target\": 6}, {\"weight\": 4347, \"source\": 0, \"target\": 1}, {\"weight\": 6591, \"source\": 0, \"target\": 7}, {\"weight\": 12498, \"source\": 0, \"target\": 4}, {\"weight\": 10101, \"source\": 0, \"target\": 5}, {\"weight\": 17457, \"source\": 0, \"target\": 3}, {\"weight\": 9004, \"source\": 0, \"target\": 8}, {\"weight\": 10181, \"source\": 0, \"target\": 2}, {\"weight\": 12191, \"source\": 1, \"target\": 6}, {\"weight\": 5723, \"source\": 1, \"target\": 7}, {\"weight\": 12894, \"source\": 1, \"target\": 4}, {\"weight\": 7852, \"source\": 1, \"target\": 5}, {\"weight\": 15296, \"source\": 1, \"target\": 3}, {\"weight\": 8077, \"source\": 1, \"target\": 8}, {\"weight\": 8400, \"source\": 1, \"target\": 2}, {\"weight\": 19093, \"source\": 2, \"target\": 6}, {\"weight\": 4030, \"source\": 2, \"target\": 7}, {\"weight\": 17376, \"source\": 2, \"target\": 4}, {\"weight\": 1776, \"source\": 2, \"target\": 5}, {\"weight\": 8687, \"source\": 2, \"target\": 3}, {\"weight\": 1724, \"source\": 2, \"target\": 8}, {\"weight\": 13649, \"source\": 3, \"target\": 6}, {\"weight\": 11317, \"source\": 3, \"target\": 7}, {\"weight\": 14757, \"source\": 3, \"target\": 4}, {\"weight\": 8724, \"source\": 3, \"target\": 5}, {\"weight\": 8508, \"source\": 3, \"target\": 8}, {\"weight\": 6244, \"source\": 4, \"target\": 6}, {\"weight\": 16946, \"source\": 4, \"target\": 7}, {\"weight\": 16422, \"source\": 4, \"target\": 5}, {\"weight\": 18560, \"source\": 4, \"target\": 8}, {\"weight\": 18994, \"source\": 5, \"target\": 6}, {\"weight\": 4159, \"source\": 5, \"target\": 7}, {\"weight\": 2960, \"source\": 5, \"target\": 8}, {\"weight\": 15600, \"source\": 6, \"target\": 7}, {\"weight\": 17653, \"source\": 6, \"target\": 8}, {\"weight\": 3086, \"source\": 7, \"target\": 8}]}",
"id": 1259,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, EYK, LDU, AKL, TNO, LAO, SSA, ZYL, JHB\n- Travel distances (in kilometers) between each pair of airports:\nBAL to SSA: 10689\nBAL to EYK: 4347\nBAL to ZYL: 6591\nBAL to TNO: 12498\nBAL to LAO: 10101\nBAL to AKL: 17457\nBAL to JHB: 9004\nBAL to LDU: 10181\nEYK to SSA: 12191\nEYK to ZYL: 5723\nEYK to TNO: 12894\nEYK to LAO: 7852\nEYK to AKL: 15296\nEYK to JHB: 8077\nEYK to LDU: 8400\nLDU to SSA: 19093\nLDU to ZYL: 4030\nLDU to TNO: 17376\nLDU to LAO: 1776\nLDU to AKL: 8687\nLDU to JHB: 1724\nAKL to SSA: 13649\nAKL to ZYL: 11317\nAKL to TNO: 14757\nAKL to LAO: 8724\nAKL to JHB: 8508\nTNO to SSA: 6244\nTNO to ZYL: 16946\nTNO to LAO: 16422\nTNO to JHB: 18560\nLAO to SSA: 18994\nLAO to ZYL: 4159\nLAO to JHB: 2960\nSSA to ZYL: 15600\nSSA to JHB: 17653\nZYL to JHB: 3086\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, ROA, KUV, TKE, VXO, ENE, TUL, DJJ, TEE\n- Travel distances (in kilometers) between each pair of airports:\nHTS to VXO: 7577\nHTS to ROA: 628\nHTS to TUL: 1824\nHTS to TEE: 8193\nHTS to DJJ: 19183\nHTS to ENE: 17742\nHTS to TKE: 5572\nHTS to KUV: 12543\nROA to VXO: 6976\nROA to TUL: 1657\nROA to TEE: 7594\nROA to DJJ: 18615\nROA to ENE: 17214\nROA to TKE: 5147\nROA to KUV: 11975\nKUV to VXO: 8450\nKUV to TUL: 11564\nKUV to TEE: 10974\nKUV to DJJ: 7216\nKUV to ENE: 5867\nKUV to TKE: 10613\nTKE to VXO: 9545\nTKE to TUL: 4048\nTKE to TEE: 11324\nTKE to DJJ: 17018\nTKE to ENE: 15516\nVXO to TUL: 7981\nVXO to TEE: 3021\nVXO to DJJ: 14063\nVXO to ENE: 12316\nENE to TUL: 16489\nENE to TEE: 13742\nENE to DJJ: 3617\nTUL to TEE: 8855\nTUL to DJJ: 17991\nDJJ to TEE: 15491\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50877,
"style": "rule"
}
|
{
"exact_answer": 50877,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTS\", \"id\": 0}, {\"name\": \"ROA\", \"id\": 1}, {\"name\": \"KUV\", \"id\": 2}, {\"name\": \"TKE\", \"id\": 3}, {\"name\": \"VXO\", \"id\": 4}, {\"name\": \"ENE\", \"id\": 5}, {\"name\": \"TUL\", \"id\": 6}, {\"name\": \"DJJ\", \"id\": 7}, {\"name\": \"TEE\", \"id\": 8}], \"links\": [{\"weight\": 7577, \"source\": 0, \"target\": 4}, {\"weight\": 628, \"source\": 0, \"target\": 1}, {\"weight\": 1824, \"source\": 0, \"target\": 6}, {\"weight\": 8193, \"source\": 0, \"target\": 8}, {\"weight\": 19183, \"source\": 0, \"target\": 7}, {\"weight\": 17742, \"source\": 0, \"target\": 5}, {\"weight\": 5572, \"source\": 0, \"target\": 3}, {\"weight\": 12543, \"source\": 0, \"target\": 2}, {\"weight\": 6976, \"source\": 1, \"target\": 4}, {\"weight\": 1657, \"source\": 1, \"target\": 6}, {\"weight\": 7594, \"source\": 1, \"target\": 8}, {\"weight\": 18615, \"source\": 1, \"target\": 7}, {\"weight\": 17214, \"source\": 1, \"target\": 5}, {\"weight\": 5147, \"source\": 1, \"target\": 3}, {\"weight\": 11975, \"source\": 1, \"target\": 2}, {\"weight\": 8450, \"source\": 2, \"target\": 4}, {\"weight\": 11564, \"source\": 2, \"target\": 6}, {\"weight\": 10974, \"source\": 2, \"target\": 8}, {\"weight\": 7216, \"source\": 2, \"target\": 7}, {\"weight\": 5867, \"source\": 2, \"target\": 5}, {\"weight\": 10613, \"source\": 2, \"target\": 3}, {\"weight\": 9545, \"source\": 3, \"target\": 4}, {\"weight\": 4048, \"source\": 3, \"target\": 6}, {\"weight\": 11324, \"source\": 3, \"target\": 8}, {\"weight\": 17018, \"source\": 3, \"target\": 7}, {\"weight\": 15516, \"source\": 3, \"target\": 5}, {\"weight\": 7981, \"source\": 4, \"target\": 6}, {\"weight\": 3021, \"source\": 4, \"target\": 8}, {\"weight\": 14063, \"source\": 4, \"target\": 7}, {\"weight\": 12316, \"source\": 4, \"target\": 5}, {\"weight\": 16489, \"source\": 5, \"target\": 6}, {\"weight\": 13742, \"source\": 5, \"target\": 8}, {\"weight\": 3617, \"source\": 5, \"target\": 7}, {\"weight\": 8855, \"source\": 6, \"target\": 8}, {\"weight\": 17991, \"source\": 6, \"target\": 7}, {\"weight\": 15491, \"source\": 7, \"target\": 8}]}",
"id": 1260,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, ROA, KUV, TKE, VXO, ENE, TUL, DJJ, TEE\n- Travel distances (in kilometers) between each pair of airports:\nHTS to VXO: 7577\nHTS to ROA: 628\nHTS to TUL: 1824\nHTS to TEE: 8193\nHTS to DJJ: 19183\nHTS to ENE: 17742\nHTS to TKE: 5572\nHTS to KUV: 12543\nROA to VXO: 6976\nROA to TUL: 1657\nROA to TEE: 7594\nROA to DJJ: 18615\nROA to ENE: 17214\nROA to TKE: 5147\nROA to KUV: 11975\nKUV to VXO: 8450\nKUV to TUL: 11564\nKUV to TEE: 10974\nKUV to DJJ: 7216\nKUV to ENE: 5867\nKUV to TKE: 10613\nTKE to VXO: 9545\nTKE to TUL: 4048\nTKE to TEE: 11324\nTKE to DJJ: 17018\nTKE to ENE: 15516\nVXO to TUL: 7981\nVXO to TEE: 3021\nVXO to DJJ: 14063\nVXO to ENE: 12316\nENE to TUL: 16489\nENE to TEE: 13742\nENE to DJJ: 3617\nTUL to TEE: 8855\nTUL to DJJ: 17991\nDJJ to TEE: 15491\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: USN, BJF, AYT, CXB, HUN, FLW, BRS, YXP, ORB\n- Travel distances (in kilometers) between each pair of airports:\nUSN to BRS: 9553\nUSN to CXB: 4410\nUSN to AYT: 8594\nUSN to YXP: 13415\nUSN to HUN: 1611\nUSN to ORB: 8819\nUSN to FLW: 12352\nUSN to BJF: 9283\nBJF to BRS: 2813\nBJF to CXB: 8525\nBJF to AYT: 4239\nBJF to YXP: 9162\nBJF to HUN: 9888\nBJF to ORB: 2248\nBJF to FLW: 5692\nAYT to BRS: 3082\nAYT to CXB: 6119\nAYT to YXP: 9430\nAYT to HUN: 8753\nAYT to ORB: 2908\nAYT to FLW: 5386\nCXB to BRS: 8621\nCXB to YXP: 14817\nCXB to HUN: 3475\nCXB to ORB: 8117\nCXB to FLW: 11314\nHUN to BRS: 10137\nHUN to YXP: 14205\nHUN to ORB: 9403\nHUN to FLW: 12945\nFLW to BRS: 3399\nFLW to YXP: 7136\nFLW to ORB: 4576\nBRS to YXP: 7271\nBRS to ORB: 1780\nYXP to ORB: 8054\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43124,
"style": "rule"
}
|
{
"exact_answer": 43124,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"USN\", \"id\": 0}, {\"name\": \"BJF\", \"id\": 1}, {\"name\": \"AYT\", \"id\": 2}, {\"name\": \"CXB\", \"id\": 3}, {\"name\": \"HUN\", \"id\": 4}, {\"name\": \"FLW\", \"id\": 5}, {\"name\": \"BRS\", \"id\": 6}, {\"name\": \"YXP\", \"id\": 7}, {\"name\": \"ORB\", \"id\": 8}], \"links\": [{\"weight\": 9553, \"source\": 0, \"target\": 6}, {\"weight\": 4410, \"source\": 0, \"target\": 3}, {\"weight\": 8594, \"source\": 0, \"target\": 2}, {\"weight\": 13415, \"source\": 0, \"target\": 7}, {\"weight\": 1611, \"source\": 0, \"target\": 4}, {\"weight\": 8819, \"source\": 0, \"target\": 8}, {\"weight\": 12352, \"source\": 0, \"target\": 5}, {\"weight\": 9283, \"source\": 0, \"target\": 1}, {\"weight\": 2813, \"source\": 1, \"target\": 6}, {\"weight\": 8525, \"source\": 1, \"target\": 3}, {\"weight\": 4239, \"source\": 1, \"target\": 2}, {\"weight\": 9162, \"source\": 1, \"target\": 7}, {\"weight\": 9888, \"source\": 1, \"target\": 4}, {\"weight\": 2248, \"source\": 1, \"target\": 8}, {\"weight\": 5692, \"source\": 1, \"target\": 5}, {\"weight\": 3082, \"source\": 2, \"target\": 6}, {\"weight\": 6119, \"source\": 2, \"target\": 3}, {\"weight\": 9430, \"source\": 2, \"target\": 7}, {\"weight\": 8753, \"source\": 2, \"target\": 4}, {\"weight\": 2908, \"source\": 2, \"target\": 8}, {\"weight\": 5386, \"source\": 2, \"target\": 5}, {\"weight\": 8621, \"source\": 3, \"target\": 6}, {\"weight\": 14817, \"source\": 3, \"target\": 7}, {\"weight\": 3475, \"source\": 3, \"target\": 4}, {\"weight\": 8117, \"source\": 3, \"target\": 8}, {\"weight\": 11314, \"source\": 3, \"target\": 5}, {\"weight\": 10137, \"source\": 4, \"target\": 6}, {\"weight\": 14205, \"source\": 4, \"target\": 7}, {\"weight\": 9403, \"source\": 4, \"target\": 8}, {\"weight\": 12945, \"source\": 4, \"target\": 5}, {\"weight\": 3399, \"source\": 5, \"target\": 6}, {\"weight\": 7136, \"source\": 5, \"target\": 7}, {\"weight\": 4576, \"source\": 5, \"target\": 8}, {\"weight\": 7271, \"source\": 6, \"target\": 7}, {\"weight\": 1780, \"source\": 6, \"target\": 8}, {\"weight\": 8054, \"source\": 7, \"target\": 8}]}",
"id": 1261,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: USN, BJF, AYT, CXB, HUN, FLW, BRS, YXP, ORB\n- Travel distances (in kilometers) between each pair of airports:\nUSN to BRS: 9553\nUSN to CXB: 4410\nUSN to AYT: 8594\nUSN to YXP: 13415\nUSN to HUN: 1611\nUSN to ORB: 8819\nUSN to FLW: 12352\nUSN to BJF: 9283\nBJF to BRS: 2813\nBJF to CXB: 8525\nBJF to AYT: 4239\nBJF to YXP: 9162\nBJF to HUN: 9888\nBJF to ORB: 2248\nBJF to FLW: 5692\nAYT to BRS: 3082\nAYT to CXB: 6119\nAYT to YXP: 9430\nAYT to HUN: 8753\nAYT to ORB: 2908\nAYT to FLW: 5386\nCXB to BRS: 8621\nCXB to YXP: 14817\nCXB to HUN: 3475\nCXB to ORB: 8117\nCXB to FLW: 11314\nHUN to BRS: 10137\nHUN to YXP: 14205\nHUN to ORB: 9403\nHUN to FLW: 12945\nFLW to BRS: 3399\nFLW to YXP: 7136\nFLW to ORB: 4576\nBRS to YXP: 7271\nBRS to ORB: 1780\nYXP to ORB: 8054\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IDA, SSJ, WLS, AEB, GVA, KAN, WMO, IOA, DQA\n- Travel distances (in kilometers) between each pair of airports:\nIDA to GVA: 8863\nIDA to WMO: 4585\nIDA to IOA: 10897\nIDA to DQA: 11067\nIDA to AEB: 12144\nIDA to KAN: 12528\nIDA to WLS: 10984\nIDA to SSJ: 8380\nSSJ to GVA: 2229\nSSJ to WMO: 10925\nSSJ to IOA: 3611\nSSJ to DQA: 8505\nSSJ to AEB: 8636\nSSJ to KAN: 6712\nSSJ to WLS: 17231\nWLS to GVA: 17949\nWLS to WMO: 11296\nWLS to IOA: 17787\nWLS to DQA: 10741\nWLS to AEB: 9847\nWLS to KAN: 19952\nAEB to GVA: 9117\nAEB to WMO: 13959\nAEB to IOA: 8580\nAEB to DQA: 3104\nAEB to KAN: 10820\nGVA to WMO: 11650\nGVA to IOA: 2064\nGVA to DQA: 9192\nGVA to KAN: 4780\nKAN to WMO: 15642\nKAN to IOA: 4538\nKAN to DQA: 11621\nWMO to IOA: 13540\nWMO to DQA: 12865\nIOA to DQA: 8938\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57664,
"style": "rule"
}
|
{
"exact_answer": 57664,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IDA\", \"id\": 0}, {\"name\": \"SSJ\", \"id\": 1}, {\"name\": \"WLS\", \"id\": 2}, {\"name\": \"AEB\", \"id\": 3}, {\"name\": \"GVA\", \"id\": 4}, {\"name\": \"KAN\", \"id\": 5}, {\"name\": \"WMO\", \"id\": 6}, {\"name\": \"IOA\", \"id\": 7}, {\"name\": \"DQA\", \"id\": 8}], \"links\": [{\"weight\": 8863, \"source\": 0, \"target\": 4}, {\"weight\": 4585, \"source\": 0, \"target\": 6}, {\"weight\": 10897, \"source\": 0, \"target\": 7}, {\"weight\": 11067, \"source\": 0, \"target\": 8}, {\"weight\": 12144, \"source\": 0, \"target\": 3}, {\"weight\": 12528, \"source\": 0, \"target\": 5}, {\"weight\": 10984, \"source\": 0, \"target\": 2}, {\"weight\": 8380, \"source\": 0, \"target\": 1}, {\"weight\": 2229, \"source\": 1, \"target\": 4}, {\"weight\": 10925, \"source\": 1, \"target\": 6}, {\"weight\": 3611, \"source\": 1, \"target\": 7}, {\"weight\": 8505, \"source\": 1, \"target\": 8}, {\"weight\": 8636, \"source\": 1, \"target\": 3}, {\"weight\": 6712, \"source\": 1, \"target\": 5}, {\"weight\": 17231, \"source\": 1, \"target\": 2}, {\"weight\": 17949, \"source\": 2, \"target\": 4}, {\"weight\": 11296, \"source\": 2, \"target\": 6}, {\"weight\": 17787, \"source\": 2, \"target\": 7}, {\"weight\": 10741, \"source\": 2, \"target\": 8}, {\"weight\": 9847, \"source\": 2, \"target\": 3}, {\"weight\": 19952, \"source\": 2, \"target\": 5}, {\"weight\": 9117, \"source\": 3, \"target\": 4}, {\"weight\": 13959, \"source\": 3, \"target\": 6}, {\"weight\": 8580, \"source\": 3, \"target\": 7}, {\"weight\": 3104, \"source\": 3, \"target\": 8}, {\"weight\": 10820, \"source\": 3, \"target\": 5}, {\"weight\": 11650, \"source\": 4, \"target\": 6}, {\"weight\": 2064, \"source\": 4, \"target\": 7}, {\"weight\": 9192, \"source\": 4, \"target\": 8}, {\"weight\": 4780, \"source\": 4, \"target\": 5}, {\"weight\": 15642, \"source\": 5, \"target\": 6}, {\"weight\": 4538, \"source\": 5, \"target\": 7}, {\"weight\": 11621, \"source\": 5, \"target\": 8}, {\"weight\": 13540, \"source\": 6, \"target\": 7}, {\"weight\": 12865, \"source\": 6, \"target\": 8}, {\"weight\": 8938, \"source\": 7, \"target\": 8}]}",
"id": 1262,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IDA, SSJ, WLS, AEB, GVA, KAN, WMO, IOA, DQA\n- Travel distances (in kilometers) between each pair of airports:\nIDA to GVA: 8863\nIDA to WMO: 4585\nIDA to IOA: 10897\nIDA to DQA: 11067\nIDA to AEB: 12144\nIDA to KAN: 12528\nIDA to WLS: 10984\nIDA to SSJ: 8380\nSSJ to GVA: 2229\nSSJ to WMO: 10925\nSSJ to IOA: 3611\nSSJ to DQA: 8505\nSSJ to AEB: 8636\nSSJ to KAN: 6712\nSSJ to WLS: 17231\nWLS to GVA: 17949\nWLS to WMO: 11296\nWLS to IOA: 17787\nWLS to DQA: 10741\nWLS to AEB: 9847\nWLS to KAN: 19952\nAEB to GVA: 9117\nAEB to WMO: 13959\nAEB to IOA: 8580\nAEB to DQA: 3104\nAEB to KAN: 10820\nGVA to WMO: 11650\nGVA to IOA: 2064\nGVA to DQA: 9192\nGVA to KAN: 4780\nKAN to WMO: 15642\nKAN to IOA: 4538\nKAN to DQA: 11621\nWMO to IOA: 13540\nWMO to DQA: 12865\nIOA to DQA: 8938\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELF, YHD, NGK, SGY, AOS, WWP, FVM, HAS, BRL\n- Travel distances (in kilometers) between each pair of airports:\nELF to AOS: 16358\nELF to BRL: 12600\nELF to HAS: 2467\nELF to SGY: 15131\nELF to YHD: 12863\nELF to WWP: 14756\nELF to FVM: 6838\nELF to NGK: 11187\nYHD to AOS: 5054\nYHD to BRL: 1758\nYHD to HAS: 12341\nYHD to SGY: 3827\nYHD to WWP: 3452\nYHD to FVM: 15761\nYHD to NGK: 11614\nNGK to AOS: 12627\nNGK to BRL: 12528\nNGK to HAS: 9094\nNGK to SGY: 11400\nNGK to WWP: 11025\nNGK to FVM: 8791\nSGY to AOS: 1535\nSGY to BRL: 4568\nSGY to HAS: 14544\nSGY to WWP: 627\nSGY to FVM: 16639\nAOS to BRL: 5358\nAOS to HAS: 15771\nAOS to WWP: 1904\nAOS to FVM: 17866\nWWP to BRL: 4193\nWWP to HAS: 14169\nWWP to FVM: 16264\nFVM to BRL: 15444\nFVM to HAS: 4847\nHAS to BRL: 12078\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48704,
"style": "rule"
}
|
{
"exact_answer": 48704,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ELF\", \"id\": 0}, {\"name\": \"YHD\", \"id\": 1}, {\"name\": \"NGK\", \"id\": 2}, {\"name\": \"SGY\", \"id\": 3}, {\"name\": \"AOS\", \"id\": 4}, {\"name\": \"WWP\", \"id\": 5}, {\"name\": \"FVM\", \"id\": 6}, {\"name\": \"HAS\", \"id\": 7}, {\"name\": \"BRL\", \"id\": 8}], \"links\": [{\"weight\": 16358, \"source\": 0, \"target\": 4}, {\"weight\": 12600, \"source\": 0, \"target\": 8}, {\"weight\": 2467, \"source\": 0, \"target\": 7}, {\"weight\": 15131, \"source\": 0, \"target\": 3}, {\"weight\": 12863, \"source\": 0, \"target\": 1}, {\"weight\": 14756, \"source\": 0, \"target\": 5}, {\"weight\": 6838, \"source\": 0, \"target\": 6}, {\"weight\": 11187, \"source\": 0, \"target\": 2}, {\"weight\": 5054, \"source\": 1, \"target\": 4}, {\"weight\": 1758, \"source\": 1, \"target\": 8}, {\"weight\": 12341, \"source\": 1, \"target\": 7}, {\"weight\": 3827, \"source\": 1, \"target\": 3}, {\"weight\": 3452, \"source\": 1, \"target\": 5}, {\"weight\": 15761, \"source\": 1, \"target\": 6}, {\"weight\": 11614, \"source\": 1, \"target\": 2}, {\"weight\": 12627, \"source\": 2, \"target\": 4}, {\"weight\": 12528, \"source\": 2, \"target\": 8}, {\"weight\": 9094, \"source\": 2, \"target\": 7}, {\"weight\": 11400, \"source\": 2, \"target\": 3}, {\"weight\": 11025, \"source\": 2, \"target\": 5}, {\"weight\": 8791, \"source\": 2, \"target\": 6}, {\"weight\": 1535, \"source\": 3, \"target\": 4}, {\"weight\": 4568, \"source\": 3, \"target\": 8}, {\"weight\": 14544, \"source\": 3, \"target\": 7}, {\"weight\": 627, \"source\": 3, \"target\": 5}, {\"weight\": 16639, \"source\": 3, \"target\": 6}, {\"weight\": 5358, \"source\": 4, \"target\": 8}, {\"weight\": 15771, \"source\": 4, \"target\": 7}, {\"weight\": 1904, \"source\": 4, \"target\": 5}, {\"weight\": 17866, \"source\": 4, \"target\": 6}, {\"weight\": 4193, \"source\": 5, \"target\": 8}, {\"weight\": 14169, \"source\": 5, \"target\": 7}, {\"weight\": 16264, \"source\": 5, \"target\": 6}, {\"weight\": 15444, \"source\": 6, \"target\": 8}, {\"weight\": 4847, \"source\": 6, \"target\": 7}, {\"weight\": 12078, \"source\": 7, \"target\": 8}]}",
"id": 1263,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELF, YHD, NGK, SGY, AOS, WWP, FVM, HAS, BRL\n- Travel distances (in kilometers) between each pair of airports:\nELF to AOS: 16358\nELF to BRL: 12600\nELF to HAS: 2467\nELF to SGY: 15131\nELF to YHD: 12863\nELF to WWP: 14756\nELF to FVM: 6838\nELF to NGK: 11187\nYHD to AOS: 5054\nYHD to BRL: 1758\nYHD to HAS: 12341\nYHD to SGY: 3827\nYHD to WWP: 3452\nYHD to FVM: 15761\nYHD to NGK: 11614\nNGK to AOS: 12627\nNGK to BRL: 12528\nNGK to HAS: 9094\nNGK to SGY: 11400\nNGK to WWP: 11025\nNGK to FVM: 8791\nSGY to AOS: 1535\nSGY to BRL: 4568\nSGY to HAS: 14544\nSGY to WWP: 627\nSGY to FVM: 16639\nAOS to BRL: 5358\nAOS to HAS: 15771\nAOS to WWP: 1904\nAOS to FVM: 17866\nWWP to BRL: 4193\nWWP to HAS: 14169\nWWP to FVM: 16264\nFVM to BRL: 15444\nFVM to HAS: 4847\nHAS to BRL: 12078\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PPQ, CND, GBT, PPB, LCA, CAW, BCD, JZH, PAF\n- Travel distances (in kilometers) between each pair of airports:\nPPQ to LCA: 16747\nPPQ to JZH: 11142\nPPQ to BCD: 8318\nPPQ to PAF: 15227\nPPQ to CAW: 13274\nPPQ to PPB: 13368\nPPQ to GBT: 15253\nPPQ to CND: 17808\nCND to LCA: 1587\nCND to JZH: 7419\nCND to BCD: 10010\nCND to PAF: 5204\nCND to CAW: 10943\nCND to PPB: 11671\nCND to GBT: 2746\nGBT to LCA: 2586\nGBT to JZH: 5239\nGBT to BCD: 7694\nGBT to PAF: 5014\nGBT to CAW: 12979\nGBT to PPB: 13321\nPPB to LCA: 11389\nPPB to JZH: 17793\nPPB to BCD: 19592\nPPB to PAF: 9876\nPPB to CAW: 1088\nLCA to JZH: 7101\nLCA to BCD: 9472\nLCA to PAF: 4173\nLCA to CAW: 11106\nCAW to JZH: 17437\nCAW to BCD: 19213\nCAW to PAF: 9638\nBCD to JZH: 3163\nBCD to PAF: 10667\nJZH to PAF: 8926\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49320,
"style": "rule"
}
|
{
"exact_answer": 49320,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PPQ\", \"id\": 0}, {\"name\": \"CND\", \"id\": 1}, {\"name\": \"GBT\", \"id\": 2}, {\"name\": \"PPB\", \"id\": 3}, {\"name\": \"LCA\", \"id\": 4}, {\"name\": \"CAW\", \"id\": 5}, {\"name\": \"BCD\", \"id\": 6}, {\"name\": \"JZH\", \"id\": 7}, {\"name\": \"PAF\", \"id\": 8}], \"links\": [{\"weight\": 16747, \"source\": 0, \"target\": 4}, {\"weight\": 11142, \"source\": 0, \"target\": 7}, {\"weight\": 8318, \"source\": 0, \"target\": 6}, {\"weight\": 15227, \"source\": 0, \"target\": 8}, {\"weight\": 13274, \"source\": 0, \"target\": 5}, {\"weight\": 13368, \"source\": 0, \"target\": 3}, {\"weight\": 15253, \"source\": 0, \"target\": 2}, {\"weight\": 17808, \"source\": 0, \"target\": 1}, {\"weight\": 1587, \"source\": 1, \"target\": 4}, {\"weight\": 7419, \"source\": 1, \"target\": 7}, {\"weight\": 10010, \"source\": 1, \"target\": 6}, {\"weight\": 5204, \"source\": 1, \"target\": 8}, {\"weight\": 10943, \"source\": 1, \"target\": 5}, {\"weight\": 11671, \"source\": 1, \"target\": 3}, {\"weight\": 2746, \"source\": 1, \"target\": 2}, {\"weight\": 2586, \"source\": 2, \"target\": 4}, {\"weight\": 5239, \"source\": 2, \"target\": 7}, {\"weight\": 7694, \"source\": 2, \"target\": 6}, {\"weight\": 5014, \"source\": 2, \"target\": 8}, {\"weight\": 12979, \"source\": 2, \"target\": 5}, {\"weight\": 13321, \"source\": 2, \"target\": 3}, {\"weight\": 11389, \"source\": 3, \"target\": 4}, {\"weight\": 17793, \"source\": 3, \"target\": 7}, {\"weight\": 19592, \"source\": 3, \"target\": 6}, {\"weight\": 9876, \"source\": 3, \"target\": 8}, {\"weight\": 1088, \"source\": 3, \"target\": 5}, {\"weight\": 7101, \"source\": 4, \"target\": 7}, {\"weight\": 9472, \"source\": 4, \"target\": 6}, {\"weight\": 4173, \"source\": 4, \"target\": 8}, {\"weight\": 11106, \"source\": 4, \"target\": 5}, {\"weight\": 17437, \"source\": 5, \"target\": 7}, {\"weight\": 19213, \"source\": 5, \"target\": 6}, {\"weight\": 9638, \"source\": 5, \"target\": 8}, {\"weight\": 3163, \"source\": 6, \"target\": 7}, {\"weight\": 10667, \"source\": 6, \"target\": 8}, {\"weight\": 8926, \"source\": 7, \"target\": 8}]}",
"id": 1264,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PPQ, CND, GBT, PPB, LCA, CAW, BCD, JZH, PAF\n- Travel distances (in kilometers) between each pair of airports:\nPPQ to LCA: 16747\nPPQ to JZH: 11142\nPPQ to BCD: 8318\nPPQ to PAF: 15227\nPPQ to CAW: 13274\nPPQ to PPB: 13368\nPPQ to GBT: 15253\nPPQ to CND: 17808\nCND to LCA: 1587\nCND to JZH: 7419\nCND to BCD: 10010\nCND to PAF: 5204\nCND to CAW: 10943\nCND to PPB: 11671\nCND to GBT: 2746\nGBT to LCA: 2586\nGBT to JZH: 5239\nGBT to BCD: 7694\nGBT to PAF: 5014\nGBT to CAW: 12979\nGBT to PPB: 13321\nPPB to LCA: 11389\nPPB to JZH: 17793\nPPB to BCD: 19592\nPPB to PAF: 9876\nPPB to CAW: 1088\nLCA to JZH: 7101\nLCA to BCD: 9472\nLCA to PAF: 4173\nLCA to CAW: 11106\nCAW to JZH: 17437\nCAW to BCD: 19213\nCAW to PAF: 9638\nBCD to JZH: 3163\nBCD to PAF: 10667\nJZH to PAF: 8926\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHM, CJS, GLA, YCO, AGX, YXL, DCN, NOS, YVM\n- Travel distances (in kilometers) between each pair of airports:\nSHM to CJS: 10673\nSHM to YCO: 10437\nSHM to YVM: 12620\nSHM to GLA: 10596\nSHM to AGX: 8022\nSHM to YXL: 10265\nSHM to NOS: 12457\nSHM to DCN: 10377\nCJS to YCO: 4844\nCJS to YVM: 6157\nCJS to GLA: 8511\nCJS to AGX: 17127\nCJS to YXL: 3633\nCJS to NOS: 17370\nCJS to DCN: 18327\nGLA to YCO: 7883\nGLA to YVM: 7219\nGLA to AGX: 9050\nGLA to YXL: 6463\nGLA to NOS: 9285\nGLA to DCN: 16662\nYCO to YVM: 3375\nYCO to AGX: 16609\nYCO to YXL: 3189\nYCO to NOS: 17156\nYCO to DCN: 19717\nAGX to YVM: 15400\nAGX to YXL: 15256\nAGX to NOS: 6482\nAGX to DCN: 9101\nYXL to YVM: 3477\nYXL to NOS: 15482\nYXL to DCN: 19496\nDCN to YVM: 21900\nDCN to NOS: 9035\nNOS to YVM: 15399\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63033,
"style": "rule"
}
|
{
"exact_answer": 63033,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SHM\", \"id\": 0}, {\"name\": \"CJS\", \"id\": 1}, {\"name\": \"GLA\", \"id\": 2}, {\"name\": \"YCO\", \"id\": 3}, {\"name\": \"AGX\", \"id\": 4}, {\"name\": \"YXL\", \"id\": 5}, {\"name\": \"DCN\", \"id\": 6}, {\"name\": \"NOS\", \"id\": 7}, {\"name\": \"YVM\", \"id\": 8}], \"links\": [{\"weight\": 10673, \"source\": 0, \"target\": 1}, {\"weight\": 10437, \"source\": 0, \"target\": 3}, {\"weight\": 12620, \"source\": 0, \"target\": 8}, {\"weight\": 10596, \"source\": 0, \"target\": 2}, {\"weight\": 8022, \"source\": 0, \"target\": 4}, {\"weight\": 10265, \"source\": 0, \"target\": 5}, {\"weight\": 12457, \"source\": 0, \"target\": 7}, {\"weight\": 10377, \"source\": 0, \"target\": 6}, {\"weight\": 4844, \"source\": 1, \"target\": 3}, {\"weight\": 6157, \"source\": 1, \"target\": 8}, {\"weight\": 8511, \"source\": 1, \"target\": 2}, {\"weight\": 17127, \"source\": 1, \"target\": 4}, {\"weight\": 3633, \"source\": 1, \"target\": 5}, {\"weight\": 17370, \"source\": 1, \"target\": 7}, {\"weight\": 18327, \"source\": 1, \"target\": 6}, {\"weight\": 7883, \"source\": 2, \"target\": 3}, {\"weight\": 7219, \"source\": 2, \"target\": 8}, {\"weight\": 9050, \"source\": 2, \"target\": 4}, {\"weight\": 6463, \"source\": 2, \"target\": 5}, {\"weight\": 9285, \"source\": 2, \"target\": 7}, {\"weight\": 16662, \"source\": 2, \"target\": 6}, {\"weight\": 3375, \"source\": 3, \"target\": 8}, {\"weight\": 16609, \"source\": 3, \"target\": 4}, {\"weight\": 3189, \"source\": 3, \"target\": 5}, {\"weight\": 17156, \"source\": 3, \"target\": 7}, {\"weight\": 19717, \"source\": 3, \"target\": 6}, {\"weight\": 15400, \"source\": 4, \"target\": 8}, {\"weight\": 15256, \"source\": 4, \"target\": 5}, {\"weight\": 6482, \"source\": 4, \"target\": 7}, {\"weight\": 9101, \"source\": 4, \"target\": 6}, {\"weight\": 3477, \"source\": 5, \"target\": 8}, {\"weight\": 15482, \"source\": 5, \"target\": 7}, {\"weight\": 19496, \"source\": 5, \"target\": 6}, {\"weight\": 21900, \"source\": 6, \"target\": 8}, {\"weight\": 9035, \"source\": 6, \"target\": 7}, {\"weight\": 15399, \"source\": 7, \"target\": 8}]}",
"id": 1265,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHM, CJS, GLA, YCO, AGX, YXL, DCN, NOS, YVM\n- Travel distances (in kilometers) between each pair of airports:\nSHM to CJS: 10673\nSHM to YCO: 10437\nSHM to YVM: 12620\nSHM to GLA: 10596\nSHM to AGX: 8022\nSHM to YXL: 10265\nSHM to NOS: 12457\nSHM to DCN: 10377\nCJS to YCO: 4844\nCJS to YVM: 6157\nCJS to GLA: 8511\nCJS to AGX: 17127\nCJS to YXL: 3633\nCJS to NOS: 17370\nCJS to DCN: 18327\nGLA to YCO: 7883\nGLA to YVM: 7219\nGLA to AGX: 9050\nGLA to YXL: 6463\nGLA to NOS: 9285\nGLA to DCN: 16662\nYCO to YVM: 3375\nYCO to AGX: 16609\nYCO to YXL: 3189\nYCO to NOS: 17156\nYCO to DCN: 19717\nAGX to YVM: 15400\nAGX to YXL: 15256\nAGX to NOS: 6482\nAGX to DCN: 9101\nYXL to YVM: 3477\nYXL to NOS: 15482\nYXL to DCN: 19496\nDCN to YVM: 21900\nDCN to NOS: 9035\nNOS to YVM: 15399\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGU, VAA, PLJ, ARK, CUN, ERM, VIX, UPG, ROV\n- Travel distances (in kilometers) between each pair of airports:\nTGU to CUN: 824\nTGU to ROV: 11459\nTGU to PLJ: 518\nTGU to VIX: 6396\nTGU to UPG: 18102\nTGU to VAA: 9964\nTGU to ERM: 6585\nTGU to ARK: 16062\nVAA to CUN: 9226\nVAA to ROV: 2173\nVAA to PLJ: 9754\nVAA to VIX: 10767\nVAA to UPG: 11365\nVAA to ERM: 12089\nVAA to ARK: 8287\nPLJ to CUN: 528\nPLJ to ROV: 11303\nPLJ to VIX: 6892\nPLJ to UPG: 17823\nPLJ to ERM: 7081\nPLJ to ARK: 15781\nARK to CUN: 15253\nARK to ROV: 6456\nARK to VIX: 10398\nARK to UPG: 10671\nARK to ERM: 11040\nCUN to ROV: 10775\nCUN to VIX: 6933\nCUN to UPG: 17493\nCUN to ERM: 7122\nERM to ROV: 12406\nERM to VIX: 1474\nERM to UPG: 18711\nVIX to ROV: 11294\nVIX to UPG: 18694\nUPG to ROV: 9909\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51482,
"style": "rule"
}
|
{
"exact_answer": 51482,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGU\", \"id\": 0}, {\"name\": \"VAA\", \"id\": 1}, {\"name\": \"PLJ\", \"id\": 2}, {\"name\": \"ARK\", \"id\": 3}, {\"name\": \"CUN\", \"id\": 4}, {\"name\": \"ERM\", \"id\": 5}, {\"name\": \"VIX\", \"id\": 6}, {\"name\": \"UPG\", \"id\": 7}, {\"name\": \"ROV\", \"id\": 8}], \"links\": [{\"weight\": 824, \"source\": 0, \"target\": 4}, {\"weight\": 11459, \"source\": 0, \"target\": 8}, {\"weight\": 518, \"source\": 0, \"target\": 2}, {\"weight\": 6396, \"source\": 0, \"target\": 6}, {\"weight\": 18102, \"source\": 0, \"target\": 7}, {\"weight\": 9964, \"source\": 0, \"target\": 1}, {\"weight\": 6585, \"source\": 0, \"target\": 5}, {\"weight\": 16062, \"source\": 0, \"target\": 3}, {\"weight\": 9226, \"source\": 1, \"target\": 4}, {\"weight\": 2173, \"source\": 1, \"target\": 8}, {\"weight\": 9754, \"source\": 1, \"target\": 2}, {\"weight\": 10767, \"source\": 1, \"target\": 6}, {\"weight\": 11365, \"source\": 1, \"target\": 7}, {\"weight\": 12089, \"source\": 1, \"target\": 5}, {\"weight\": 8287, \"source\": 1, \"target\": 3}, {\"weight\": 528, \"source\": 2, \"target\": 4}, {\"weight\": 11303, \"source\": 2, \"target\": 8}, {\"weight\": 6892, \"source\": 2, \"target\": 6}, {\"weight\": 17823, \"source\": 2, \"target\": 7}, {\"weight\": 7081, \"source\": 2, \"target\": 5}, {\"weight\": 15781, \"source\": 2, \"target\": 3}, {\"weight\": 15253, \"source\": 3, \"target\": 4}, {\"weight\": 6456, \"source\": 3, \"target\": 8}, {\"weight\": 10398, \"source\": 3, \"target\": 6}, {\"weight\": 10671, \"source\": 3, \"target\": 7}, {\"weight\": 11040, \"source\": 3, \"target\": 5}, {\"weight\": 10775, \"source\": 4, \"target\": 8}, {\"weight\": 6933, \"source\": 4, \"target\": 6}, {\"weight\": 17493, \"source\": 4, \"target\": 7}, {\"weight\": 7122, \"source\": 4, \"target\": 5}, {\"weight\": 12406, \"source\": 5, \"target\": 8}, {\"weight\": 1474, \"source\": 5, \"target\": 6}, {\"weight\": 18711, \"source\": 5, \"target\": 7}, {\"weight\": 11294, \"source\": 6, \"target\": 8}, {\"weight\": 18694, \"source\": 6, \"target\": 7}, {\"weight\": 9909, \"source\": 7, \"target\": 8}]}",
"id": 1266,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGU, VAA, PLJ, ARK, CUN, ERM, VIX, UPG, ROV\n- Travel distances (in kilometers) between each pair of airports:\nTGU to CUN: 824\nTGU to ROV: 11459\nTGU to PLJ: 518\nTGU to VIX: 6396\nTGU to UPG: 18102\nTGU to VAA: 9964\nTGU to ERM: 6585\nTGU to ARK: 16062\nVAA to CUN: 9226\nVAA to ROV: 2173\nVAA to PLJ: 9754\nVAA to VIX: 10767\nVAA to UPG: 11365\nVAA to ERM: 12089\nVAA to ARK: 8287\nPLJ to CUN: 528\nPLJ to ROV: 11303\nPLJ to VIX: 6892\nPLJ to UPG: 17823\nPLJ to ERM: 7081\nPLJ to ARK: 15781\nARK to CUN: 15253\nARK to ROV: 6456\nARK to VIX: 10398\nARK to UPG: 10671\nARK to ERM: 11040\nCUN to ROV: 10775\nCUN to VIX: 6933\nCUN to UPG: 17493\nCUN to ERM: 7122\nERM to ROV: 12406\nERM to VIX: 1474\nERM to UPG: 18711\nVIX to ROV: 11294\nVIX to UPG: 18694\nUPG to ROV: 9909\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IDA, ORK, ULB, MLU, KBC, NBS, MSO, BPX, FLO\n- Travel distances (in kilometers) between each pair of airports:\nIDA to KBC: 4057\nIDA to FLO: 3042\nIDA to MLU: 2236\nIDA to NBS: 9926\nIDA to MSO: 1005\nIDA to BPX: 12286\nIDA to ORK: 8329\nIDA to ULB: 11255\nORK to KBC: 10327\nORK to FLO: 6709\nORK to MLU: 7619\nORK to NBS: 9503\nORK to MSO: 8302\nORK to BPX: 9261\nORK to ULB: 17747\nULB to KBC: 11302\nULB to FLO: 13578\nULB to MLU: 12460\nULB to NBS: 9400\nULB to MSO: 11081\nULB to BPX: 9908\nMLU to KBC: 5784\nMLU to FLO: 1242\nMLU to NBS: 11630\nMLU to MSO: 2592\nMLU to BPX: 13990\nKBC to FLO: 6296\nKBC to NBS: 11194\nKBC to MSO: 3271\nKBC to BPX: 13537\nNBS to FLO: 12296\nNBS to MSO: 9169\nNBS to BPX: 3120\nMSO to FLO: 3280\nMSO to BPX: 11512\nBPX to FLO: 13821\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47546,
"style": "rule"
}
|
{
"exact_answer": 47546,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IDA\", \"id\": 0}, {\"name\": \"ORK\", \"id\": 1}, {\"name\": \"ULB\", \"id\": 2}, {\"name\": \"MLU\", \"id\": 3}, {\"name\": \"KBC\", \"id\": 4}, {\"name\": \"NBS\", \"id\": 5}, {\"name\": \"MSO\", \"id\": 6}, {\"name\": \"BPX\", \"id\": 7}, {\"name\": \"FLO\", \"id\": 8}], \"links\": [{\"weight\": 4057, \"source\": 0, \"target\": 4}, {\"weight\": 3042, \"source\": 0, \"target\": 8}, {\"weight\": 2236, \"source\": 0, \"target\": 3}, {\"weight\": 9926, \"source\": 0, \"target\": 5}, {\"weight\": 1005, \"source\": 0, \"target\": 6}, {\"weight\": 12286, \"source\": 0, \"target\": 7}, {\"weight\": 8329, \"source\": 0, \"target\": 1}, {\"weight\": 11255, \"source\": 0, \"target\": 2}, {\"weight\": 10327, \"source\": 1, \"target\": 4}, {\"weight\": 6709, \"source\": 1, \"target\": 8}, {\"weight\": 7619, \"source\": 1, \"target\": 3}, {\"weight\": 9503, \"source\": 1, \"target\": 5}, {\"weight\": 8302, \"source\": 1, \"target\": 6}, {\"weight\": 9261, \"source\": 1, \"target\": 7}, {\"weight\": 17747, \"source\": 1, \"target\": 2}, {\"weight\": 11302, \"source\": 2, \"target\": 4}, {\"weight\": 13578, \"source\": 2, \"target\": 8}, {\"weight\": 12460, \"source\": 2, \"target\": 3}, {\"weight\": 9400, \"source\": 2, \"target\": 5}, {\"weight\": 11081, \"source\": 2, \"target\": 6}, {\"weight\": 9908, \"source\": 2, \"target\": 7}, {\"weight\": 5784, \"source\": 3, \"target\": 4}, {\"weight\": 1242, \"source\": 3, \"target\": 8}, {\"weight\": 11630, \"source\": 3, \"target\": 5}, {\"weight\": 2592, \"source\": 3, \"target\": 6}, {\"weight\": 13990, \"source\": 3, \"target\": 7}, {\"weight\": 6296, \"source\": 4, \"target\": 8}, {\"weight\": 11194, \"source\": 4, \"target\": 5}, {\"weight\": 3271, \"source\": 4, \"target\": 6}, {\"weight\": 13537, \"source\": 4, \"target\": 7}, {\"weight\": 12296, \"source\": 5, \"target\": 8}, {\"weight\": 9169, \"source\": 5, \"target\": 6}, {\"weight\": 3120, \"source\": 5, \"target\": 7}, {\"weight\": 3280, \"source\": 6, \"target\": 8}, {\"weight\": 11512, \"source\": 6, \"target\": 7}, {\"weight\": 13821, \"source\": 7, \"target\": 8}]}",
"id": 1267,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IDA, ORK, ULB, MLU, KBC, NBS, MSO, BPX, FLO\n- Travel distances (in kilometers) between each pair of airports:\nIDA to KBC: 4057\nIDA to FLO: 3042\nIDA to MLU: 2236\nIDA to NBS: 9926\nIDA to MSO: 1005\nIDA to BPX: 12286\nIDA to ORK: 8329\nIDA to ULB: 11255\nORK to KBC: 10327\nORK to FLO: 6709\nORK to MLU: 7619\nORK to NBS: 9503\nORK to MSO: 8302\nORK to BPX: 9261\nORK to ULB: 17747\nULB to KBC: 11302\nULB to FLO: 13578\nULB to MLU: 12460\nULB to NBS: 9400\nULB to MSO: 11081\nULB to BPX: 9908\nMLU to KBC: 5784\nMLU to FLO: 1242\nMLU to NBS: 11630\nMLU to MSO: 2592\nMLU to BPX: 13990\nKBC to FLO: 6296\nKBC to NBS: 11194\nKBC to MSO: 3271\nKBC to BPX: 13537\nNBS to FLO: 12296\nNBS to MSO: 9169\nNBS to BPX: 3120\nMSO to FLO: 3280\nMSO to BPX: 11512\nBPX to FLO: 13821\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JUH, CIP, JOL, KTW, BPX, RSA, ILD, KUZ, GPT\n- Travel distances (in kilometers) between each pair of airports:\nJUH to KTW: 8491\nJUH to GPT: 13151\nJUH to RSA: 20552\nJUH to BPX: 1967\nJUH to KUZ: 12338\nJUH to ILD: 10536\nJUH to CIP: 11516\nJUH to JOL: 2847\nCIP to KTW: 8440\nCIP to GPT: 14273\nCIP to RSA: 11035\nCIP to BPX: 9607\nCIP to KUZ: 12543\nCIP to ILD: 8287\nCIP to JOL: 12711\nJOL to KTW: 10650\nJOL to GPT: 14986\nJOL to RSA: 19722\nJOL to BPX: 4151\nJOL to KUZ: 14561\nJOL to ILD: 12623\nKTW to GPT: 8644\nKTW to RSA: 12692\nKTW to BPX: 7459\nKTW to KUZ: 5006\nKTW to ILD: 2068\nBPX to GPT: 14313\nBPX to RSA: 18602\nBPX to KUZ: 11826\nBPX to ILD: 9017\nRSA to GPT: 9317\nRSA to KUZ: 15619\nRSA to ILD: 11285\nILD to GPT: 8377\nILD to KUZ: 5663\nKUZ to GPT: 8078\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61145,
"style": "rule"
}
|
{
"exact_answer": 61145,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JUH\", \"id\": 0}, {\"name\": \"CIP\", \"id\": 1}, {\"name\": \"JOL\", \"id\": 2}, {\"name\": \"KTW\", \"id\": 3}, {\"name\": \"BPX\", \"id\": 4}, {\"name\": \"RSA\", \"id\": 5}, {\"name\": \"ILD\", \"id\": 6}, {\"name\": \"KUZ\", \"id\": 7}, {\"name\": \"GPT\", \"id\": 8}], \"links\": [{\"weight\": 8491, \"source\": 0, \"target\": 3}, {\"weight\": 13151, \"source\": 0, \"target\": 8}, {\"weight\": 20552, \"source\": 0, \"target\": 5}, {\"weight\": 1967, \"source\": 0, \"target\": 4}, {\"weight\": 12338, \"source\": 0, \"target\": 7}, {\"weight\": 10536, \"source\": 0, \"target\": 6}, {\"weight\": 11516, \"source\": 0, \"target\": 1}, {\"weight\": 2847, \"source\": 0, \"target\": 2}, {\"weight\": 8440, \"source\": 1, \"target\": 3}, {\"weight\": 14273, \"source\": 1, \"target\": 8}, {\"weight\": 11035, \"source\": 1, \"target\": 5}, {\"weight\": 9607, \"source\": 1, \"target\": 4}, {\"weight\": 12543, \"source\": 1, \"target\": 7}, {\"weight\": 8287, \"source\": 1, \"target\": 6}, {\"weight\": 12711, \"source\": 1, \"target\": 2}, {\"weight\": 10650, \"source\": 2, \"target\": 3}, {\"weight\": 14986, \"source\": 2, \"target\": 8}, {\"weight\": 19722, \"source\": 2, \"target\": 5}, {\"weight\": 4151, \"source\": 2, \"target\": 4}, {\"weight\": 14561, \"source\": 2, \"target\": 7}, {\"weight\": 12623, \"source\": 2, \"target\": 6}, {\"weight\": 8644, \"source\": 3, \"target\": 8}, {\"weight\": 12692, \"source\": 3, \"target\": 5}, {\"weight\": 7459, \"source\": 3, \"target\": 4}, {\"weight\": 5006, \"source\": 3, \"target\": 7}, {\"weight\": 2068, \"source\": 3, \"target\": 6}, {\"weight\": 14313, \"source\": 4, \"target\": 8}, {\"weight\": 18602, \"source\": 4, \"target\": 5}, {\"weight\": 11826, \"source\": 4, \"target\": 7}, {\"weight\": 9017, \"source\": 4, \"target\": 6}, {\"weight\": 9317, \"source\": 5, \"target\": 8}, {\"weight\": 15619, \"source\": 5, \"target\": 7}, {\"weight\": 11285, \"source\": 5, \"target\": 6}, {\"weight\": 8377, \"source\": 6, \"target\": 8}, {\"weight\": 5663, \"source\": 6, \"target\": 7}, {\"weight\": 8078, \"source\": 7, \"target\": 8}]}",
"id": 1268,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JUH, CIP, JOL, KTW, BPX, RSA, ILD, KUZ, GPT\n- Travel distances (in kilometers) between each pair of airports:\nJUH to KTW: 8491\nJUH to GPT: 13151\nJUH to RSA: 20552\nJUH to BPX: 1967\nJUH to KUZ: 12338\nJUH to ILD: 10536\nJUH to CIP: 11516\nJUH to JOL: 2847\nCIP to KTW: 8440\nCIP to GPT: 14273\nCIP to RSA: 11035\nCIP to BPX: 9607\nCIP to KUZ: 12543\nCIP to ILD: 8287\nCIP to JOL: 12711\nJOL to KTW: 10650\nJOL to GPT: 14986\nJOL to RSA: 19722\nJOL to BPX: 4151\nJOL to KUZ: 14561\nJOL to ILD: 12623\nKTW to GPT: 8644\nKTW to RSA: 12692\nKTW to BPX: 7459\nKTW to KUZ: 5006\nKTW to ILD: 2068\nBPX to GPT: 14313\nBPX to RSA: 18602\nBPX to KUZ: 11826\nBPX to ILD: 9017\nRSA to GPT: 9317\nRSA to KUZ: 15619\nRSA to ILD: 11285\nILD to GPT: 8377\nILD to KUZ: 5663\nKUZ to GPT: 8078\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMA, KZN, FJR, PND, AZN, MZH, UYN, IWJ, YYC\n- Travel distances (in kilometers) between each pair of airports:\nRMA to KZN: 13719\nRMA to UYN: 8957\nRMA to YYC: 13024\nRMA to PND: 15654\nRMA to AZN: 12113\nRMA to IWJ: 8731\nRMA to MZH: 15369\nRMA to FJR: 12395\nKZN to UYN: 5712\nKZN to YYC: 9125\nKZN to PND: 11223\nKZN to AZN: 2416\nKZN to IWJ: 7881\nKZN to MZH: 2800\nKZN to FJR: 3882\nFJR to UYN: 6103\nFJR to YYC: 12420\nFJR to PND: 14349\nFJR to AZN: 2785\nFJR to IWJ: 8999\nFJR to MZH: 3820\nPND to UYN: 13916\nPND to YYC: 4548\nPND to AZN: 13577\nPND to IWJ: 13193\nPND to MZH: 11576\nAZN to UYN: 4312\nAZN to YYC: 11479\nAZN to IWJ: 7025\nAZN to MZH: 4120\nMZH to UYN: 7791\nMZH to YYC: 9866\nMZH to IWJ: 10486\nUYN to YYC: 9802\nUYN to IWJ: 3420\nIWJ to YYC: 8977\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54663,
"style": "rule"
}
|
{
"exact_answer": 54663,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RMA\", \"id\": 0}, {\"name\": \"KZN\", \"id\": 1}, {\"name\": \"FJR\", \"id\": 2}, {\"name\": \"PND\", \"id\": 3}, {\"name\": \"AZN\", \"id\": 4}, {\"name\": \"MZH\", \"id\": 5}, {\"name\": \"UYN\", \"id\": 6}, {\"name\": \"IWJ\", \"id\": 7}, {\"name\": \"YYC\", \"id\": 8}], \"links\": [{\"weight\": 13719, \"source\": 0, \"target\": 1}, {\"weight\": 8957, \"source\": 0, \"target\": 6}, {\"weight\": 13024, \"source\": 0, \"target\": 8}, {\"weight\": 15654, \"source\": 0, \"target\": 3}, {\"weight\": 12113, \"source\": 0, \"target\": 4}, {\"weight\": 8731, \"source\": 0, \"target\": 7}, {\"weight\": 15369, \"source\": 0, \"target\": 5}, {\"weight\": 12395, \"source\": 0, \"target\": 2}, {\"weight\": 5712, \"source\": 1, \"target\": 6}, {\"weight\": 9125, \"source\": 1, \"target\": 8}, {\"weight\": 11223, \"source\": 1, \"target\": 3}, {\"weight\": 2416, \"source\": 1, \"target\": 4}, {\"weight\": 7881, \"source\": 1, \"target\": 7}, {\"weight\": 2800, \"source\": 1, \"target\": 5}, {\"weight\": 3882, \"source\": 1, \"target\": 2}, {\"weight\": 6103, \"source\": 2, \"target\": 6}, {\"weight\": 12420, \"source\": 2, \"target\": 8}, {\"weight\": 14349, \"source\": 2, \"target\": 3}, {\"weight\": 2785, \"source\": 2, \"target\": 4}, {\"weight\": 8999, \"source\": 2, \"target\": 7}, {\"weight\": 3820, \"source\": 2, \"target\": 5}, {\"weight\": 13916, \"source\": 3, \"target\": 6}, {\"weight\": 4548, \"source\": 3, \"target\": 8}, {\"weight\": 13577, \"source\": 3, \"target\": 4}, {\"weight\": 13193, \"source\": 3, \"target\": 7}, {\"weight\": 11576, \"source\": 3, \"target\": 5}, {\"weight\": 4312, \"source\": 4, \"target\": 6}, {\"weight\": 11479, \"source\": 4, \"target\": 8}, {\"weight\": 7025, \"source\": 4, \"target\": 7}, {\"weight\": 4120, \"source\": 4, \"target\": 5}, {\"weight\": 7791, \"source\": 5, \"target\": 6}, {\"weight\": 9866, \"source\": 5, \"target\": 8}, {\"weight\": 10486, \"source\": 5, \"target\": 7}, {\"weight\": 9802, \"source\": 6, \"target\": 8}, {\"weight\": 3420, \"source\": 6, \"target\": 7}, {\"weight\": 8977, \"source\": 7, \"target\": 8}]}",
"id": 1269,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMA, KZN, FJR, PND, AZN, MZH, UYN, IWJ, YYC\n- Travel distances (in kilometers) between each pair of airports:\nRMA to KZN: 13719\nRMA to UYN: 8957\nRMA to YYC: 13024\nRMA to PND: 15654\nRMA to AZN: 12113\nRMA to IWJ: 8731\nRMA to MZH: 15369\nRMA to FJR: 12395\nKZN to UYN: 5712\nKZN to YYC: 9125\nKZN to PND: 11223\nKZN to AZN: 2416\nKZN to IWJ: 7881\nKZN to MZH: 2800\nKZN to FJR: 3882\nFJR to UYN: 6103\nFJR to YYC: 12420\nFJR to PND: 14349\nFJR to AZN: 2785\nFJR to IWJ: 8999\nFJR to MZH: 3820\nPND to UYN: 13916\nPND to YYC: 4548\nPND to AZN: 13577\nPND to IWJ: 13193\nPND to MZH: 11576\nAZN to UYN: 4312\nAZN to YYC: 11479\nAZN to IWJ: 7025\nAZN to MZH: 4120\nMZH to UYN: 7791\nMZH to YYC: 9866\nMZH to IWJ: 10486\nUYN to YYC: 9802\nUYN to IWJ: 3420\nIWJ to YYC: 8977\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRD, ABJ, ZBL, HJR, PPW, ENY, AAQ, LCA, CRM\n- Travel distances (in kilometers) between each pair of airports:\nLRD to ABJ: 10617\nLRD to LCA: 11520\nLRD to CRM: 14099\nLRD to HJR: 14920\nLRD to ENY: 12552\nLRD to PPW: 8225\nLRD to ZBL: 14091\nLRD to AAQ: 11168\nABJ to LCA: 5269\nABJ to CRM: 14048\nABJ to HJR: 9834\nABJ to ENY: 12177\nABJ to PPW: 6099\nABJ to ZBL: 17287\nABJ to AAQ: 7885\nZBL to LCA: 14736\nZBL to CRM: 6890\nZBL to HJR: 10269\nZBL to ENY: 9025\nZBL to PPW: 17016\nZBL to AAQ: 15635\nHJR to LCA: 5174\nHJR to CRM: 5159\nHJR to ENY: 3257\nHJR to PPW: 7969\nHJR to AAQ: 6435\nPPW to LCA: 3936\nPPW to CRM: 11243\nPPW to ENY: 8499\nPPW to AAQ: 3843\nENY to LCA: 7227\nENY to CRM: 3284\nENY to AAQ: 7305\nAAQ to LCA: 3463\nAAQ to CRM: 9860\nLCA to CRM: 9445\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56718,
"style": "rule"
}
|
{
"exact_answer": 56718,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LRD\", \"id\": 0}, {\"name\": \"ABJ\", \"id\": 1}, {\"name\": \"ZBL\", \"id\": 2}, {\"name\": \"HJR\", \"id\": 3}, {\"name\": \"PPW\", \"id\": 4}, {\"name\": \"ENY\", \"id\": 5}, {\"name\": \"AAQ\", \"id\": 6}, {\"name\": \"LCA\", \"id\": 7}, {\"name\": \"CRM\", \"id\": 8}], \"links\": [{\"weight\": 10617, \"source\": 0, \"target\": 1}, {\"weight\": 11520, \"source\": 0, \"target\": 7}, {\"weight\": 14099, \"source\": 0, \"target\": 8}, {\"weight\": 14920, \"source\": 0, \"target\": 3}, {\"weight\": 12552, \"source\": 0, \"target\": 5}, {\"weight\": 8225, \"source\": 0, \"target\": 4}, {\"weight\": 14091, \"source\": 0, \"target\": 2}, {\"weight\": 11168, \"source\": 0, \"target\": 6}, {\"weight\": 5269, \"source\": 1, \"target\": 7}, {\"weight\": 14048, \"source\": 1, \"target\": 8}, {\"weight\": 9834, \"source\": 1, \"target\": 3}, {\"weight\": 12177, \"source\": 1, \"target\": 5}, {\"weight\": 6099, \"source\": 1, \"target\": 4}, {\"weight\": 17287, \"source\": 1, \"target\": 2}, {\"weight\": 7885, \"source\": 1, \"target\": 6}, {\"weight\": 14736, \"source\": 2, \"target\": 7}, {\"weight\": 6890, \"source\": 2, \"target\": 8}, {\"weight\": 10269, \"source\": 2, \"target\": 3}, {\"weight\": 9025, \"source\": 2, \"target\": 5}, {\"weight\": 17016, \"source\": 2, \"target\": 4}, {\"weight\": 15635, \"source\": 2, \"target\": 6}, {\"weight\": 5174, \"source\": 3, \"target\": 7}, {\"weight\": 5159, \"source\": 3, \"target\": 8}, {\"weight\": 3257, \"source\": 3, \"target\": 5}, {\"weight\": 7969, \"source\": 3, \"target\": 4}, {\"weight\": 6435, \"source\": 3, \"target\": 6}, {\"weight\": 3936, \"source\": 4, \"target\": 7}, {\"weight\": 11243, \"source\": 4, \"target\": 8}, {\"weight\": 8499, \"source\": 4, \"target\": 5}, {\"weight\": 3843, \"source\": 4, \"target\": 6}, {\"weight\": 7227, \"source\": 5, \"target\": 7}, {\"weight\": 3284, \"source\": 5, \"target\": 8}, {\"weight\": 7305, \"source\": 5, \"target\": 6}, {\"weight\": 3463, \"source\": 6, \"target\": 7}, {\"weight\": 9860, \"source\": 6, \"target\": 8}, {\"weight\": 9445, \"source\": 7, \"target\": 8}]}",
"id": 1270,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRD, ABJ, ZBL, HJR, PPW, ENY, AAQ, LCA, CRM\n- Travel distances (in kilometers) between each pair of airports:\nLRD to ABJ: 10617\nLRD to LCA: 11520\nLRD to CRM: 14099\nLRD to HJR: 14920\nLRD to ENY: 12552\nLRD to PPW: 8225\nLRD to ZBL: 14091\nLRD to AAQ: 11168\nABJ to LCA: 5269\nABJ to CRM: 14048\nABJ to HJR: 9834\nABJ to ENY: 12177\nABJ to PPW: 6099\nABJ to ZBL: 17287\nABJ to AAQ: 7885\nZBL to LCA: 14736\nZBL to CRM: 6890\nZBL to HJR: 10269\nZBL to ENY: 9025\nZBL to PPW: 17016\nZBL to AAQ: 15635\nHJR to LCA: 5174\nHJR to CRM: 5159\nHJR to ENY: 3257\nHJR to PPW: 7969\nHJR to AAQ: 6435\nPPW to LCA: 3936\nPPW to CRM: 11243\nPPW to ENY: 8499\nPPW to AAQ: 3843\nENY to LCA: 7227\nENY to CRM: 3284\nENY to AAQ: 7305\nAAQ to LCA: 3463\nAAQ to CRM: 9860\nLCA to CRM: 9445\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOV, CFK, AMA, KOK, SVC, ORN, VDE, ELD, TAH\n- Travel distances (in kilometers) between each pair of airports:\nKOV to KOK: 3374\nKOV to AMA: 11721\nKOV to ORN: 5725\nKOV to CFK: 5593\nKOV to ELD: 11240\nKOV to TAH: 13318\nKOV to VDE: 7420\nKOV to SVC: 12492\nCFK to KOK: 3419\nCFK to AMA: 9492\nCFK to ORN: 1870\nCFK to ELD: 9023\nCFK to TAH: 18564\nCFK to VDE: 3578\nCFK to SVC: 10690\nAMA to KOK: 8987\nAMA to ORN: 8801\nAMA to ELD: 897\nAMA to TAH: 11671\nAMA to VDE: 8411\nAMA to SVC: 1916\nKOK to ORN: 3538\nKOK to ELD: 8506\nKOK to TAH: 15940\nKOK to VDE: 5052\nKOK to SVC: 9758\nSVC to ORN: 10025\nSVC to ELD: 2207\nSVC to TAH: 11037\nSVC to VDE: 9671\nORN to ELD: 8236\nORN to TAH: 18559\nORN to VDE: 1849\nVDE to ELD: 7787\nVDE to TAH: 19855\nELD to TAH: 12471\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45467,
"style": "rule"
}
|
{
"exact_answer": 45467,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KOV\", \"id\": 0}, {\"name\": \"CFK\", \"id\": 1}, {\"name\": \"AMA\", \"id\": 2}, {\"name\": \"KOK\", \"id\": 3}, {\"name\": \"SVC\", \"id\": 4}, {\"name\": \"ORN\", \"id\": 5}, {\"name\": \"VDE\", \"id\": 6}, {\"name\": \"ELD\", \"id\": 7}, {\"name\": \"TAH\", \"id\": 8}], \"links\": [{\"weight\": 3374, \"source\": 0, \"target\": 3}, {\"weight\": 11721, \"source\": 0, \"target\": 2}, {\"weight\": 5725, \"source\": 0, \"target\": 5}, {\"weight\": 5593, \"source\": 0, \"target\": 1}, {\"weight\": 11240, \"source\": 0, \"target\": 7}, {\"weight\": 13318, \"source\": 0, \"target\": 8}, {\"weight\": 7420, \"source\": 0, \"target\": 6}, {\"weight\": 12492, \"source\": 0, \"target\": 4}, {\"weight\": 3419, \"source\": 1, \"target\": 3}, {\"weight\": 9492, \"source\": 1, \"target\": 2}, {\"weight\": 1870, \"source\": 1, \"target\": 5}, {\"weight\": 9023, \"source\": 1, \"target\": 7}, {\"weight\": 18564, \"source\": 1, \"target\": 8}, {\"weight\": 3578, \"source\": 1, \"target\": 6}, {\"weight\": 10690, \"source\": 1, \"target\": 4}, {\"weight\": 8987, \"source\": 2, \"target\": 3}, {\"weight\": 8801, \"source\": 2, \"target\": 5}, {\"weight\": 897, \"source\": 2, \"target\": 7}, {\"weight\": 11671, \"source\": 2, \"target\": 8}, {\"weight\": 8411, \"source\": 2, \"target\": 6}, {\"weight\": 1916, \"source\": 2, \"target\": 4}, {\"weight\": 3538, \"source\": 3, \"target\": 5}, {\"weight\": 8506, \"source\": 3, \"target\": 7}, {\"weight\": 15940, \"source\": 3, \"target\": 8}, {\"weight\": 5052, \"source\": 3, \"target\": 6}, {\"weight\": 9758, \"source\": 3, \"target\": 4}, {\"weight\": 10025, \"source\": 4, \"target\": 5}, {\"weight\": 2207, \"source\": 4, \"target\": 7}, {\"weight\": 11037, \"source\": 4, \"target\": 8}, {\"weight\": 9671, \"source\": 4, \"target\": 6}, {\"weight\": 8236, \"source\": 5, \"target\": 7}, {\"weight\": 18559, \"source\": 5, \"target\": 8}, {\"weight\": 1849, \"source\": 5, \"target\": 6}, {\"weight\": 7787, \"source\": 6, \"target\": 7}, {\"weight\": 19855, \"source\": 6, \"target\": 8}, {\"weight\": 12471, \"source\": 7, \"target\": 8}]}",
"id": 1271,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KOV, CFK, AMA, KOK, SVC, ORN, VDE, ELD, TAH\n- Travel distances (in kilometers) between each pair of airports:\nKOV to KOK: 3374\nKOV to AMA: 11721\nKOV to ORN: 5725\nKOV to CFK: 5593\nKOV to ELD: 11240\nKOV to TAH: 13318\nKOV to VDE: 7420\nKOV to SVC: 12492\nCFK to KOK: 3419\nCFK to AMA: 9492\nCFK to ORN: 1870\nCFK to ELD: 9023\nCFK to TAH: 18564\nCFK to VDE: 3578\nCFK to SVC: 10690\nAMA to KOK: 8987\nAMA to ORN: 8801\nAMA to ELD: 897\nAMA to TAH: 11671\nAMA to VDE: 8411\nAMA to SVC: 1916\nKOK to ORN: 3538\nKOK to ELD: 8506\nKOK to TAH: 15940\nKOK to VDE: 5052\nKOK to SVC: 9758\nSVC to ORN: 10025\nSVC to ELD: 2207\nSVC to TAH: 11037\nSVC to VDE: 9671\nORN to ELD: 8236\nORN to TAH: 18559\nORN to VDE: 1849\nVDE to ELD: 7787\nVDE to TAH: 19855\nELD to TAH: 12471\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, REC, ALF, NOS, RAO, MAR, NLA, VAN, TCB\n- Travel distances (in kilometers) between each pair of airports:\nYAG to RAO: 9353\nYAG to TCB: 3457\nYAG to MAR: 5086\nYAG to REC: 8900\nYAG to NLA: 13814\nYAG to ALF: 7965\nYAG to NOS: 15517\nYAG to VAN: 10648\nREC to RAO: 2037\nREC to TCB: 6597\nREC to MAR: 4748\nREC to NLA: 9891\nREC to ALF: 9846\nREC to NOS: 11911\nREC to VAN: 10347\nALF to RAO: 11858\nALF to TCB: 8732\nALF to MAR: 10060\nALF to NLA: 9854\nALF to NOS: 10139\nALF to VAN: 4746\nNOS to RAO: 10477\nNOS to TCB: 15986\nNOS to MAR: 15100\nNOS to NLA: 3095\nNOS to VAN: 6829\nRAO to TCB: 6995\nRAO to MAR: 4993\nRAO to NLA: 8766\nRAO to VAN: 12113\nMAR to TCB: 2413\nMAR to NLA: 13346\nMAR to VAN: 11477\nNLA to TCB: 14018\nNLA to VAN: 6567\nVAN to TCB: 11266\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44056,
"style": "rule"
}
|
{
"exact_answer": 44056,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAG\", \"id\": 0}, {\"name\": \"REC\", \"id\": 1}, {\"name\": \"ALF\", \"id\": 2}, {\"name\": \"NOS\", \"id\": 3}, {\"name\": \"RAO\", \"id\": 4}, {\"name\": \"MAR\", \"id\": 5}, {\"name\": \"NLA\", \"id\": 6}, {\"name\": \"VAN\", \"id\": 7}, {\"name\": \"TCB\", \"id\": 8}], \"links\": [{\"weight\": 9353, \"source\": 0, \"target\": 4}, {\"weight\": 3457, \"source\": 0, \"target\": 8}, {\"weight\": 5086, \"source\": 0, \"target\": 5}, {\"weight\": 8900, \"source\": 0, \"target\": 1}, {\"weight\": 13814, \"source\": 0, \"target\": 6}, {\"weight\": 7965, \"source\": 0, \"target\": 2}, {\"weight\": 15517, \"source\": 0, \"target\": 3}, {\"weight\": 10648, \"source\": 0, \"target\": 7}, {\"weight\": 2037, \"source\": 1, \"target\": 4}, {\"weight\": 6597, \"source\": 1, \"target\": 8}, {\"weight\": 4748, \"source\": 1, \"target\": 5}, {\"weight\": 9891, \"source\": 1, \"target\": 6}, {\"weight\": 9846, \"source\": 1, \"target\": 2}, {\"weight\": 11911, \"source\": 1, \"target\": 3}, {\"weight\": 10347, \"source\": 1, \"target\": 7}, {\"weight\": 11858, \"source\": 2, \"target\": 4}, {\"weight\": 8732, \"source\": 2, \"target\": 8}, {\"weight\": 10060, \"source\": 2, \"target\": 5}, {\"weight\": 9854, \"source\": 2, \"target\": 6}, {\"weight\": 10139, \"source\": 2, \"target\": 3}, {\"weight\": 4746, \"source\": 2, \"target\": 7}, {\"weight\": 10477, \"source\": 3, \"target\": 4}, {\"weight\": 15986, \"source\": 3, \"target\": 8}, {\"weight\": 15100, \"source\": 3, \"target\": 5}, {\"weight\": 3095, \"source\": 3, \"target\": 6}, {\"weight\": 6829, \"source\": 3, \"target\": 7}, {\"weight\": 6995, \"source\": 4, \"target\": 8}, {\"weight\": 4993, \"source\": 4, \"target\": 5}, {\"weight\": 8766, \"source\": 4, \"target\": 6}, {\"weight\": 12113, \"source\": 4, \"target\": 7}, {\"weight\": 2413, \"source\": 5, \"target\": 8}, {\"weight\": 13346, \"source\": 5, \"target\": 6}, {\"weight\": 11477, \"source\": 5, \"target\": 7}, {\"weight\": 14018, \"source\": 6, \"target\": 8}, {\"weight\": 6567, \"source\": 6, \"target\": 7}, {\"weight\": 11266, \"source\": 7, \"target\": 8}]}",
"id": 1272,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, REC, ALF, NOS, RAO, MAR, NLA, VAN, TCB\n- Travel distances (in kilometers) between each pair of airports:\nYAG to RAO: 9353\nYAG to TCB: 3457\nYAG to MAR: 5086\nYAG to REC: 8900\nYAG to NLA: 13814\nYAG to ALF: 7965\nYAG to NOS: 15517\nYAG to VAN: 10648\nREC to RAO: 2037\nREC to TCB: 6597\nREC to MAR: 4748\nREC to NLA: 9891\nREC to ALF: 9846\nREC to NOS: 11911\nREC to VAN: 10347\nALF to RAO: 11858\nALF to TCB: 8732\nALF to MAR: 10060\nALF to NLA: 9854\nALF to NOS: 10139\nALF to VAN: 4746\nNOS to RAO: 10477\nNOS to TCB: 15986\nNOS to MAR: 15100\nNOS to NLA: 3095\nNOS to VAN: 6829\nRAO to TCB: 6995\nRAO to MAR: 4993\nRAO to NLA: 8766\nRAO to VAN: 12113\nMAR to TCB: 2413\nMAR to NLA: 13346\nMAR to VAN: 11477\nNLA to TCB: 14018\nNLA to VAN: 6567\nVAN to TCB: 11266\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HLH, MLI, DAV, AMA, SRV, CAC, ZEM, BZE, MUX\n- Travel distances (in kilometers) between each pair of airports:\nHLH to CAC: 19011\nHLH to BZE: 13236\nHLH to SRV: 11706\nHLH to DAV: 14447\nHLH to AMA: 10877\nHLH to MLI: 11254\nHLH to MUX: 5106\nHLH to ZEM: 12080\nMLI to CAC: 9028\nMLI to BZE: 2851\nMLI to SRV: 5149\nMLI to DAV: 3913\nMLI to AMA: 1613\nMLI to MUX: 12320\nMLI to ZEM: 2004\nDAV to CAC: 6588\nDAV to BZE: 1227\nDAV to SRV: 8682\nDAV to AMA: 3600\nDAV to MUX: 15383\nDAV to ZEM: 5115\nAMA to CAC: 9353\nAMA to BZE: 2389\nAMA to SRV: 5108\nAMA to MUX: 13520\nAMA to ZEM: 3204\nSRV to CAC: 14176\nSRV to BZE: 7474\nSRV to MUX: 15978\nSRV to ZEM: 6615\nCAC to BZE: 7220\nCAC to MUX: 14621\nCAC to ZEM: 9783\nZEM to BZE: 4103\nZEM to MUX: 12478\nBZE to MUX: 14419\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51869,
"style": "rule"
}
|
{
"exact_answer": 51869,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HLH\", \"id\": 0}, {\"name\": \"MLI\", \"id\": 1}, {\"name\": \"DAV\", \"id\": 2}, {\"name\": \"AMA\", \"id\": 3}, {\"name\": \"SRV\", \"id\": 4}, {\"name\": \"CAC\", \"id\": 5}, {\"name\": \"ZEM\", \"id\": 6}, {\"name\": \"BZE\", \"id\": 7}, {\"name\": \"MUX\", \"id\": 8}], \"links\": [{\"weight\": 19011, \"source\": 0, \"target\": 5}, {\"weight\": 13236, \"source\": 0, \"target\": 7}, {\"weight\": 11706, \"source\": 0, \"target\": 4}, {\"weight\": 14447, \"source\": 0, \"target\": 2}, {\"weight\": 10877, \"source\": 0, \"target\": 3}, {\"weight\": 11254, \"source\": 0, \"target\": 1}, {\"weight\": 5106, \"source\": 0, \"target\": 8}, {\"weight\": 12080, \"source\": 0, \"target\": 6}, {\"weight\": 9028, \"source\": 1, \"target\": 5}, {\"weight\": 2851, \"source\": 1, \"target\": 7}, {\"weight\": 5149, \"source\": 1, \"target\": 4}, {\"weight\": 3913, \"source\": 1, \"target\": 2}, {\"weight\": 1613, \"source\": 1, \"target\": 3}, {\"weight\": 12320, \"source\": 1, \"target\": 8}, {\"weight\": 2004, \"source\": 1, \"target\": 6}, {\"weight\": 6588, \"source\": 2, \"target\": 5}, {\"weight\": 1227, \"source\": 2, \"target\": 7}, {\"weight\": 8682, \"source\": 2, \"target\": 4}, {\"weight\": 3600, \"source\": 2, \"target\": 3}, {\"weight\": 15383, \"source\": 2, \"target\": 8}, {\"weight\": 5115, \"source\": 2, \"target\": 6}, {\"weight\": 9353, \"source\": 3, \"target\": 5}, {\"weight\": 2389, \"source\": 3, \"target\": 7}, {\"weight\": 5108, \"source\": 3, \"target\": 4}, {\"weight\": 13520, \"source\": 3, \"target\": 8}, {\"weight\": 3204, \"source\": 3, \"target\": 6}, {\"weight\": 14176, \"source\": 4, \"target\": 5}, {\"weight\": 7474, \"source\": 4, \"target\": 7}, {\"weight\": 15978, \"source\": 4, \"target\": 8}, {\"weight\": 6615, \"source\": 4, \"target\": 6}, {\"weight\": 7220, \"source\": 5, \"target\": 7}, {\"weight\": 14621, \"source\": 5, \"target\": 8}, {\"weight\": 9783, \"source\": 5, \"target\": 6}, {\"weight\": 4103, \"source\": 6, \"target\": 7}, {\"weight\": 12478, \"source\": 6, \"target\": 8}, {\"weight\": 14419, \"source\": 7, \"target\": 8}]}",
"id": 1273,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HLH, MLI, DAV, AMA, SRV, CAC, ZEM, BZE, MUX\n- Travel distances (in kilometers) between each pair of airports:\nHLH to CAC: 19011\nHLH to BZE: 13236\nHLH to SRV: 11706\nHLH to DAV: 14447\nHLH to AMA: 10877\nHLH to MLI: 11254\nHLH to MUX: 5106\nHLH to ZEM: 12080\nMLI to CAC: 9028\nMLI to BZE: 2851\nMLI to SRV: 5149\nMLI to DAV: 3913\nMLI to AMA: 1613\nMLI to MUX: 12320\nMLI to ZEM: 2004\nDAV to CAC: 6588\nDAV to BZE: 1227\nDAV to SRV: 8682\nDAV to AMA: 3600\nDAV to MUX: 15383\nDAV to ZEM: 5115\nAMA to CAC: 9353\nAMA to BZE: 2389\nAMA to SRV: 5108\nAMA to MUX: 13520\nAMA to ZEM: 3204\nSRV to CAC: 14176\nSRV to BZE: 7474\nSRV to MUX: 15978\nSRV to ZEM: 6615\nCAC to BZE: 7220\nCAC to MUX: 14621\nCAC to ZEM: 9783\nZEM to BZE: 4103\nZEM to MUX: 12478\nBZE to MUX: 14419\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JIB, KKJ, PPB, YQL, MDE, KAW, TAP, OLA, IQQ\n- Travel distances (in kilometers) between each pair of airports:\nJIB to IQQ: 13201\nJIB to KAW: 7043\nJIB to KKJ: 10747\nJIB to MDE: 13614\nJIB to YQL: 13049\nJIB to PPB: 11060\nJIB to TAP: 14627\nJIB to OLA: 6415\nKKJ to IQQ: 17931\nKKJ to KAW: 6430\nKKJ to MDE: 14944\nKKJ to YQL: 9251\nKKJ to PPB: 19855\nKKJ to TAP: 13011\nKKJ to OLA: 10022\nPPB to IQQ: 3610\nPPB to KAW: 17860\nPPB to MDE: 5505\nPPB to YQL: 11150\nPPB to TAP: 7155\nPPB to OLA: 11540\nYQL to IQQ: 9496\nYQL to KAW: 13444\nYQL to MDE: 6373\nYQL to TAP: 4843\nYQL to OLA: 7528\nMDE to IQQ: 3157\nMDE to KAW: 18347\nMDE to TAP: 2099\nMDE to OLA: 10097\nKAW to IQQ: 20001\nKAW to TAP: 17395\nKAW to OLA: 9538\nTAP to IQQ: 5102\nTAP to OLA: 9831\nOLA to IQQ: 12538\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54388,
"style": "rule"
}
|
{
"exact_answer": 54388,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JIB\", \"id\": 0}, {\"name\": \"KKJ\", \"id\": 1}, {\"name\": \"PPB\", \"id\": 2}, {\"name\": \"YQL\", \"id\": 3}, {\"name\": \"MDE\", \"id\": 4}, {\"name\": \"KAW\", \"id\": 5}, {\"name\": \"TAP\", \"id\": 6}, {\"name\": \"OLA\", \"id\": 7}, {\"name\": \"IQQ\", \"id\": 8}], \"links\": [{\"weight\": 13201, \"source\": 0, \"target\": 8}, {\"weight\": 7043, \"source\": 0, \"target\": 5}, {\"weight\": 10747, \"source\": 0, \"target\": 1}, {\"weight\": 13614, \"source\": 0, \"target\": 4}, {\"weight\": 13049, \"source\": 0, \"target\": 3}, {\"weight\": 11060, \"source\": 0, \"target\": 2}, {\"weight\": 14627, \"source\": 0, \"target\": 6}, {\"weight\": 6415, \"source\": 0, \"target\": 7}, {\"weight\": 17931, \"source\": 1, \"target\": 8}, {\"weight\": 6430, \"source\": 1, \"target\": 5}, {\"weight\": 14944, \"source\": 1, \"target\": 4}, {\"weight\": 9251, \"source\": 1, \"target\": 3}, {\"weight\": 19855, \"source\": 1, \"target\": 2}, {\"weight\": 13011, \"source\": 1, \"target\": 6}, {\"weight\": 10022, \"source\": 1, \"target\": 7}, {\"weight\": 3610, \"source\": 2, \"target\": 8}, {\"weight\": 17860, \"source\": 2, \"target\": 5}, {\"weight\": 5505, \"source\": 2, \"target\": 4}, {\"weight\": 11150, \"source\": 2, \"target\": 3}, {\"weight\": 7155, \"source\": 2, \"target\": 6}, {\"weight\": 11540, \"source\": 2, \"target\": 7}, {\"weight\": 9496, \"source\": 3, \"target\": 8}, {\"weight\": 13444, \"source\": 3, \"target\": 5}, {\"weight\": 6373, \"source\": 3, \"target\": 4}, {\"weight\": 4843, \"source\": 3, \"target\": 6}, {\"weight\": 7528, \"source\": 3, \"target\": 7}, {\"weight\": 3157, \"source\": 4, \"target\": 8}, {\"weight\": 18347, \"source\": 4, \"target\": 5}, {\"weight\": 2099, \"source\": 4, \"target\": 6}, {\"weight\": 10097, \"source\": 4, \"target\": 7}, {\"weight\": 20001, \"source\": 5, \"target\": 8}, {\"weight\": 17395, \"source\": 5, \"target\": 6}, {\"weight\": 9538, \"source\": 5, \"target\": 7}, {\"weight\": 5102, \"source\": 6, \"target\": 8}, {\"weight\": 9831, \"source\": 6, \"target\": 7}, {\"weight\": 12538, \"source\": 7, \"target\": 8}]}",
"id": 1274,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JIB, KKJ, PPB, YQL, MDE, KAW, TAP, OLA, IQQ\n- Travel distances (in kilometers) between each pair of airports:\nJIB to IQQ: 13201\nJIB to KAW: 7043\nJIB to KKJ: 10747\nJIB to MDE: 13614\nJIB to YQL: 13049\nJIB to PPB: 11060\nJIB to TAP: 14627\nJIB to OLA: 6415\nKKJ to IQQ: 17931\nKKJ to KAW: 6430\nKKJ to MDE: 14944\nKKJ to YQL: 9251\nKKJ to PPB: 19855\nKKJ to TAP: 13011\nKKJ to OLA: 10022\nPPB to IQQ: 3610\nPPB to KAW: 17860\nPPB to MDE: 5505\nPPB to YQL: 11150\nPPB to TAP: 7155\nPPB to OLA: 11540\nYQL to IQQ: 9496\nYQL to KAW: 13444\nYQL to MDE: 6373\nYQL to TAP: 4843\nYQL to OLA: 7528\nMDE to IQQ: 3157\nMDE to KAW: 18347\nMDE to TAP: 2099\nMDE to OLA: 10097\nKAW to IQQ: 20001\nKAW to TAP: 17395\nKAW to OLA: 9538\nTAP to IQQ: 5102\nTAP to OLA: 9831\nOLA to IQQ: 12538\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGA, MZR, SRP, KIH, ANC, AUG, KAL, ESU, MHC\n- Travel distances (in kilometers) between each pair of airports:\nCGA to MZR: 14058\nCGA to ANC: 1382\nCGA to KAL: 2326\nCGA to AUG: 5426\nCGA to ESU: 11427\nCGA to KIH: 13308\nCGA to SRP: 8686\nCGA to MHC: 15752\nMZR to ANC: 15200\nMZR to KAL: 15862\nMZR to AUG: 11176\nMZR to ESU: 7152\nMZR to KIH: 1883\nMZR to SRP: 5706\nMZR to MHC: 20483\nSRP to ANC: 9828\nSRP to KAL: 10490\nSRP to AUG: 5804\nSRP to ESU: 3554\nSRP to KIH: 5523\nSRP to MHC: 17067\nKIH to ANC: 14450\nKIH to KAL: 15112\nKIH to AUG: 10841\nKIH to ESU: 6682\nKIH to MHC: 19152\nANC to KAL: 944\nANC to AUG: 6083\nANC to ESU: 12569\nANC to MHC: 16889\nAUG to KAL: 7027\nAUG to ESU: 8013\nAUG to MHC: 12854\nKAL to ESU: 13231\nKAL to MHC: 17556\nESU to MHC: 17562\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62634,
"style": "rule"
}
|
{
"exact_answer": 62634,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGA\", \"id\": 0}, {\"name\": \"MZR\", \"id\": 1}, {\"name\": \"SRP\", \"id\": 2}, {\"name\": \"KIH\", \"id\": 3}, {\"name\": \"ANC\", \"id\": 4}, {\"name\": \"AUG\", \"id\": 5}, {\"name\": \"KAL\", \"id\": 6}, {\"name\": \"ESU\", \"id\": 7}, {\"name\": \"MHC\", \"id\": 8}], \"links\": [{\"weight\": 14058, \"source\": 0, \"target\": 1}, {\"weight\": 1382, \"source\": 0, \"target\": 4}, {\"weight\": 2326, \"source\": 0, \"target\": 6}, {\"weight\": 5426, \"source\": 0, \"target\": 5}, {\"weight\": 11427, \"source\": 0, \"target\": 7}, {\"weight\": 13308, \"source\": 0, \"target\": 3}, {\"weight\": 8686, \"source\": 0, \"target\": 2}, {\"weight\": 15752, \"source\": 0, \"target\": 8}, {\"weight\": 15200, \"source\": 1, \"target\": 4}, {\"weight\": 15862, \"source\": 1, \"target\": 6}, {\"weight\": 11176, \"source\": 1, \"target\": 5}, {\"weight\": 7152, \"source\": 1, \"target\": 7}, {\"weight\": 1883, \"source\": 1, \"target\": 3}, {\"weight\": 5706, \"source\": 1, \"target\": 2}, {\"weight\": 20483, \"source\": 1, \"target\": 8}, {\"weight\": 9828, \"source\": 2, \"target\": 4}, {\"weight\": 10490, \"source\": 2, \"target\": 6}, {\"weight\": 5804, \"source\": 2, \"target\": 5}, {\"weight\": 3554, \"source\": 2, \"target\": 7}, {\"weight\": 5523, \"source\": 2, \"target\": 3}, {\"weight\": 17067, \"source\": 2, \"target\": 8}, {\"weight\": 14450, \"source\": 3, \"target\": 4}, {\"weight\": 15112, \"source\": 3, \"target\": 6}, {\"weight\": 10841, \"source\": 3, \"target\": 5}, {\"weight\": 6682, \"source\": 3, \"target\": 7}, {\"weight\": 19152, \"source\": 3, \"target\": 8}, {\"weight\": 944, \"source\": 4, \"target\": 6}, {\"weight\": 6083, \"source\": 4, \"target\": 5}, {\"weight\": 12569, \"source\": 4, \"target\": 7}, {\"weight\": 16889, \"source\": 4, \"target\": 8}, {\"weight\": 7027, \"source\": 5, \"target\": 6}, {\"weight\": 8013, \"source\": 5, \"target\": 7}, {\"weight\": 12854, \"source\": 5, \"target\": 8}, {\"weight\": 13231, \"source\": 6, \"target\": 7}, {\"weight\": 17556, \"source\": 6, \"target\": 8}, {\"weight\": 17562, \"source\": 7, \"target\": 8}]}",
"id": 1275,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGA, MZR, SRP, KIH, ANC, AUG, KAL, ESU, MHC\n- Travel distances (in kilometers) between each pair of airports:\nCGA to MZR: 14058\nCGA to ANC: 1382\nCGA to KAL: 2326\nCGA to AUG: 5426\nCGA to ESU: 11427\nCGA to KIH: 13308\nCGA to SRP: 8686\nCGA to MHC: 15752\nMZR to ANC: 15200\nMZR to KAL: 15862\nMZR to AUG: 11176\nMZR to ESU: 7152\nMZR to KIH: 1883\nMZR to SRP: 5706\nMZR to MHC: 20483\nSRP to ANC: 9828\nSRP to KAL: 10490\nSRP to AUG: 5804\nSRP to ESU: 3554\nSRP to KIH: 5523\nSRP to MHC: 17067\nKIH to ANC: 14450\nKIH to KAL: 15112\nKIH to AUG: 10841\nKIH to ESU: 6682\nKIH to MHC: 19152\nANC to KAL: 944\nANC to AUG: 6083\nANC to ESU: 12569\nANC to MHC: 16889\nAUG to KAL: 7027\nAUG to ESU: 8013\nAUG to MHC: 12854\nKAL to ESU: 13231\nKAL to MHC: 17556\nESU to MHC: 17562\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HLH, MKQ, RVD, LYP, NER, YNG, OSI, YXH\n- Travel distances (in kilometers) between each pair of airports:\nOIM to YXH: 8599\nOIM to RVD: 19377\nOIM to HLH: 2265\nOIM to OSI: 9971\nOIM to YNG: 12550\nOIM to MKQ: 8531\nOIM to LYP: 7940\nOIM to NER: 3125\nHLH to YXH: 9458\nHLH to RVD: 19027\nHLH to OSI: 8673\nHLH to YNG: 13326\nHLH to MKQ: 8890\nHLH to LYP: 6594\nHLH to NER: 2867\nMKQ to YXH: 16697\nMKQ to RVD: 22095\nMKQ to OSI: 14831\nMKQ to YNG: 20541\nMKQ to LYP: 10454\nMKQ to NER: 10583\nRVD to YXH: 11476\nRVD to OSI: 10939\nRVD to YNG: 8926\nRVD to LYP: 15085\nRVD to NER: 17521\nLYP to YXH: 14015\nLYP to OSI: 6244\nLYP to YNG: 14478\nLYP to NER: 7212\nNER to YXH: 10846\nNER to OSI: 7088\nNER to YNG: 14138\nYNG to YXH: 4553\nYNG to OSI: 8848\nOSI to YXH: 8739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64597,
"style": "rule"
}
|
{
"exact_answer": 64597,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OIM\", \"id\": 0}, {\"name\": \"HLH\", \"id\": 1}, {\"name\": \"MKQ\", \"id\": 2}, {\"name\": \"RVD\", \"id\": 3}, {\"name\": \"LYP\", \"id\": 4}, {\"name\": \"NER\", \"id\": 5}, {\"name\": \"YNG\", \"id\": 6}, {\"name\": \"OSI\", \"id\": 7}, {\"name\": \"YXH\", \"id\": 8}], \"links\": [{\"weight\": 8599, \"source\": 0, \"target\": 8}, {\"weight\": 19377, \"source\": 0, \"target\": 3}, {\"weight\": 2265, \"source\": 0, \"target\": 1}, {\"weight\": 9971, \"source\": 0, \"target\": 7}, {\"weight\": 12550, \"source\": 0, \"target\": 6}, {\"weight\": 8531, \"source\": 0, \"target\": 2}, {\"weight\": 7940, \"source\": 0, \"target\": 4}, {\"weight\": 3125, \"source\": 0, \"target\": 5}, {\"weight\": 9458, \"source\": 1, \"target\": 8}, {\"weight\": 19027, \"source\": 1, \"target\": 3}, {\"weight\": 8673, \"source\": 1, \"target\": 7}, {\"weight\": 13326, \"source\": 1, \"target\": 6}, {\"weight\": 8890, \"source\": 1, \"target\": 2}, {\"weight\": 6594, \"source\": 1, \"target\": 4}, {\"weight\": 2867, \"source\": 1, \"target\": 5}, {\"weight\": 16697, \"source\": 2, \"target\": 8}, {\"weight\": 22095, \"source\": 2, \"target\": 3}, {\"weight\": 14831, \"source\": 2, \"target\": 7}, {\"weight\": 20541, \"source\": 2, \"target\": 6}, {\"weight\": 10454, \"source\": 2, \"target\": 4}, {\"weight\": 10583, \"source\": 2, \"target\": 5}, {\"weight\": 11476, \"source\": 3, \"target\": 8}, {\"weight\": 10939, \"source\": 3, \"target\": 7}, {\"weight\": 8926, \"source\": 3, \"target\": 6}, {\"weight\": 15085, \"source\": 3, \"target\": 4}, {\"weight\": 17521, \"source\": 3, \"target\": 5}, {\"weight\": 14015, \"source\": 4, \"target\": 8}, {\"weight\": 6244, \"source\": 4, \"target\": 7}, {\"weight\": 14478, \"source\": 4, \"target\": 6}, {\"weight\": 7212, \"source\": 4, \"target\": 5}, {\"weight\": 10846, \"source\": 5, \"target\": 8}, {\"weight\": 7088, \"source\": 5, \"target\": 7}, {\"weight\": 14138, \"source\": 5, \"target\": 6}, {\"weight\": 4553, \"source\": 6, \"target\": 8}, {\"weight\": 8848, \"source\": 6, \"target\": 7}, {\"weight\": 8739, \"source\": 7, \"target\": 8}]}",
"id": 1276,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HLH, MKQ, RVD, LYP, NER, YNG, OSI, YXH\n- Travel distances (in kilometers) between each pair of airports:\nOIM to YXH: 8599\nOIM to RVD: 19377\nOIM to HLH: 2265\nOIM to OSI: 9971\nOIM to YNG: 12550\nOIM to MKQ: 8531\nOIM to LYP: 7940\nOIM to NER: 3125\nHLH to YXH: 9458\nHLH to RVD: 19027\nHLH to OSI: 8673\nHLH to YNG: 13326\nHLH to MKQ: 8890\nHLH to LYP: 6594\nHLH to NER: 2867\nMKQ to YXH: 16697\nMKQ to RVD: 22095\nMKQ to OSI: 14831\nMKQ to YNG: 20541\nMKQ to LYP: 10454\nMKQ to NER: 10583\nRVD to YXH: 11476\nRVD to OSI: 10939\nRVD to YNG: 8926\nRVD to LYP: 15085\nRVD to NER: 17521\nLYP to YXH: 14015\nLYP to OSI: 6244\nLYP to YNG: 14478\nLYP to NER: 7212\nNER to YXH: 10846\nNER to OSI: 7088\nNER to YNG: 14138\nYNG to YXH: 4553\nYNG to OSI: 8848\nOSI to YXH: 8739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROC, NST, RDV, RCB, IVC, AUC, YIK, SAF, KYA\n- Travel distances (in kilometers) between each pair of airports:\nROC to YIK: 2415\nROC to RDV: 5933\nROC to AUC: 4745\nROC to SAF: 2760\nROC to NST: 14652\nROC to IVC: 15342\nROC to KYA: 8762\nROC to RCB: 13731\nNST to YIK: 16529\nNST to RDV: 15560\nNST to AUC: 19194\nNST to SAF: 14686\nNST to IVC: 10785\nNST to KYA: 8497\nNST to RCB: 10707\nRDV to YIK: 7132\nRDV to AUC: 9921\nRDV to SAF: 4985\nRDV to IVC: 13404\nRDV to KYA: 13377\nRDV to RCB: 19634\nRCB to YIK: 15633\nRCB to AUC: 12710\nRCB to SAF: 16116\nRCB to IVC: 14091\nRCB to KYA: 8459\nIVC to YIK: 16438\nIVC to AUC: 15569\nIVC to SAF: 12833\nIVC to KYA: 17917\nAUC to YIK: 6930\nAUC to SAF: 5276\nAUC to KYA: 11666\nYIK to SAF: 4005\nYIK to KYA: 9350\nSAF to KYA: 10821\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 70005,
"style": "rule"
}
|
{
"exact_answer": 70005,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROC\", \"id\": 0}, {\"name\": \"NST\", \"id\": 1}, {\"name\": \"RDV\", \"id\": 2}, {\"name\": \"RCB\", \"id\": 3}, {\"name\": \"IVC\", \"id\": 4}, {\"name\": \"AUC\", \"id\": 5}, {\"name\": \"YIK\", \"id\": 6}, {\"name\": \"SAF\", \"id\": 7}, {\"name\": \"KYA\", \"id\": 8}], \"links\": [{\"weight\": 2415, \"source\": 0, \"target\": 6}, {\"weight\": 5933, \"source\": 0, \"target\": 2}, {\"weight\": 4745, \"source\": 0, \"target\": 5}, {\"weight\": 2760, \"source\": 0, \"target\": 7}, {\"weight\": 14652, \"source\": 0, \"target\": 1}, {\"weight\": 15342, \"source\": 0, \"target\": 4}, {\"weight\": 8762, \"source\": 0, \"target\": 8}, {\"weight\": 13731, \"source\": 0, \"target\": 3}, {\"weight\": 16529, \"source\": 1, \"target\": 6}, {\"weight\": 15560, \"source\": 1, \"target\": 2}, {\"weight\": 19194, \"source\": 1, \"target\": 5}, {\"weight\": 14686, \"source\": 1, \"target\": 7}, {\"weight\": 10785, \"source\": 1, \"target\": 4}, {\"weight\": 8497, \"source\": 1, \"target\": 8}, {\"weight\": 10707, \"source\": 1, \"target\": 3}, {\"weight\": 7132, \"source\": 2, \"target\": 6}, {\"weight\": 9921, \"source\": 2, \"target\": 5}, {\"weight\": 4985, \"source\": 2, \"target\": 7}, {\"weight\": 13404, \"source\": 2, \"target\": 4}, {\"weight\": 13377, \"source\": 2, \"target\": 8}, {\"weight\": 19634, \"source\": 2, \"target\": 3}, {\"weight\": 15633, \"source\": 3, \"target\": 6}, {\"weight\": 12710, \"source\": 3, \"target\": 5}, {\"weight\": 16116, \"source\": 3, \"target\": 7}, {\"weight\": 14091, \"source\": 3, \"target\": 4}, {\"weight\": 8459, \"source\": 3, \"target\": 8}, {\"weight\": 16438, \"source\": 4, \"target\": 6}, {\"weight\": 15569, \"source\": 4, \"target\": 5}, {\"weight\": 12833, \"source\": 4, \"target\": 7}, {\"weight\": 17917, \"source\": 4, \"target\": 8}, {\"weight\": 6930, \"source\": 5, \"target\": 6}, {\"weight\": 5276, \"source\": 5, \"target\": 7}, {\"weight\": 11666, \"source\": 5, \"target\": 8}, {\"weight\": 4005, \"source\": 6, \"target\": 7}, {\"weight\": 9350, \"source\": 6, \"target\": 8}, {\"weight\": 10821, \"source\": 7, \"target\": 8}]}",
"id": 1277,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROC, NST, RDV, RCB, IVC, AUC, YIK, SAF, KYA\n- Travel distances (in kilometers) between each pair of airports:\nROC to YIK: 2415\nROC to RDV: 5933\nROC to AUC: 4745\nROC to SAF: 2760\nROC to NST: 14652\nROC to IVC: 15342\nROC to KYA: 8762\nROC to RCB: 13731\nNST to YIK: 16529\nNST to RDV: 15560\nNST to AUC: 19194\nNST to SAF: 14686\nNST to IVC: 10785\nNST to KYA: 8497\nNST to RCB: 10707\nRDV to YIK: 7132\nRDV to AUC: 9921\nRDV to SAF: 4985\nRDV to IVC: 13404\nRDV to KYA: 13377\nRDV to RCB: 19634\nRCB to YIK: 15633\nRCB to AUC: 12710\nRCB to SAF: 16116\nRCB to IVC: 14091\nRCB to KYA: 8459\nIVC to YIK: 16438\nIVC to AUC: 15569\nIVC to SAF: 12833\nIVC to KYA: 17917\nAUC to YIK: 6930\nAUC to SAF: 5276\nAUC to KYA: 11666\nYIK to SAF: 4005\nYIK to KYA: 9350\nSAF to KYA: 10821\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAX, AES, ADZ, ZFM, VDE, JLR, LCE, ANR, EAU\n- Travel distances (in kilometers) between each pair of airports:\nJAX to ZFM: 5891\nJAX to ADZ: 2866\nJAX to ANR: 7213\nJAX to JLR: 13750\nJAX to AES: 7193\nJAX to LCE: 1848\nJAX to VDE: 7246\nJAX to EAU: 1823\nAES to ZFM: 8924\nAES to ADZ: 9875\nAES to ANR: 1760\nAES to JLR: 6992\nAES to LCE: 8924\nAES to VDE: 4330\nAES to EAU: 7046\nADZ to ZFM: 8522\nADZ to ANR: 9619\nADZ to JLR: 16308\nADZ to LCE: 1672\nADZ to VDE: 7620\nADZ to EAU: 4649\nZFM to ANR: 9401\nZFM to JLR: 15513\nZFM to LCE: 7074\nZFM to VDE: 10455\nZFM to EAU: 4968\nVDE to ANR: 3427\nVDE to JLR: 9698\nVDE to LCE: 8326\nVDE to EAU: 7419\nJLR to ANR: 7672\nJLR to LCE: 15486\nJLR to EAU: 13119\nLCE to ANR: 8923\nLCE to EAU: 3417\nANR to EAU: 7111\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44946,
"style": "rule"
}
|
{
"exact_answer": 44946,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAX\", \"id\": 0}, {\"name\": \"AES\", \"id\": 1}, {\"name\": \"ADZ\", \"id\": 2}, {\"name\": \"ZFM\", \"id\": 3}, {\"name\": \"VDE\", \"id\": 4}, {\"name\": \"JLR\", \"id\": 5}, {\"name\": \"LCE\", \"id\": 6}, {\"name\": \"ANR\", \"id\": 7}, {\"name\": \"EAU\", \"id\": 8}], \"links\": [{\"weight\": 5891, \"source\": 0, \"target\": 3}, {\"weight\": 2866, \"source\": 0, \"target\": 2}, {\"weight\": 7213, \"source\": 0, \"target\": 7}, {\"weight\": 13750, \"source\": 0, \"target\": 5}, {\"weight\": 7193, \"source\": 0, \"target\": 1}, {\"weight\": 1848, \"source\": 0, \"target\": 6}, {\"weight\": 7246, \"source\": 0, \"target\": 4}, {\"weight\": 1823, \"source\": 0, \"target\": 8}, {\"weight\": 8924, \"source\": 1, \"target\": 3}, {\"weight\": 9875, \"source\": 1, \"target\": 2}, {\"weight\": 1760, \"source\": 1, \"target\": 7}, {\"weight\": 6992, \"source\": 1, \"target\": 5}, {\"weight\": 8924, \"source\": 1, \"target\": 6}, {\"weight\": 4330, \"source\": 1, \"target\": 4}, {\"weight\": 7046, \"source\": 1, \"target\": 8}, {\"weight\": 8522, \"source\": 2, \"target\": 3}, {\"weight\": 9619, \"source\": 2, \"target\": 7}, {\"weight\": 16308, \"source\": 2, \"target\": 5}, {\"weight\": 1672, \"source\": 2, \"target\": 6}, {\"weight\": 7620, \"source\": 2, \"target\": 4}, {\"weight\": 4649, \"source\": 2, \"target\": 8}, {\"weight\": 9401, \"source\": 3, \"target\": 7}, {\"weight\": 15513, \"source\": 3, \"target\": 5}, {\"weight\": 7074, \"source\": 3, \"target\": 6}, {\"weight\": 10455, \"source\": 3, \"target\": 4}, {\"weight\": 4968, \"source\": 3, \"target\": 8}, {\"weight\": 3427, \"source\": 4, \"target\": 7}, {\"weight\": 9698, \"source\": 4, \"target\": 5}, {\"weight\": 8326, \"source\": 4, \"target\": 6}, {\"weight\": 7419, \"source\": 4, \"target\": 8}, {\"weight\": 7672, \"source\": 5, \"target\": 7}, {\"weight\": 15486, \"source\": 5, \"target\": 6}, {\"weight\": 13119, \"source\": 5, \"target\": 8}, {\"weight\": 8923, \"source\": 6, \"target\": 7}, {\"weight\": 3417, \"source\": 6, \"target\": 8}, {\"weight\": 7111, \"source\": 7, \"target\": 8}]}",
"id": 1278,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAX, AES, ADZ, ZFM, VDE, JLR, LCE, ANR, EAU\n- Travel distances (in kilometers) between each pair of airports:\nJAX to ZFM: 5891\nJAX to ADZ: 2866\nJAX to ANR: 7213\nJAX to JLR: 13750\nJAX to AES: 7193\nJAX to LCE: 1848\nJAX to VDE: 7246\nJAX to EAU: 1823\nAES to ZFM: 8924\nAES to ADZ: 9875\nAES to ANR: 1760\nAES to JLR: 6992\nAES to LCE: 8924\nAES to VDE: 4330\nAES to EAU: 7046\nADZ to ZFM: 8522\nADZ to ANR: 9619\nADZ to JLR: 16308\nADZ to LCE: 1672\nADZ to VDE: 7620\nADZ to EAU: 4649\nZFM to ANR: 9401\nZFM to JLR: 15513\nZFM to LCE: 7074\nZFM to VDE: 10455\nZFM to EAU: 4968\nVDE to ANR: 3427\nVDE to JLR: 9698\nVDE to LCE: 8326\nVDE to EAU: 7419\nJLR to ANR: 7672\nJLR to LCE: 15486\nJLR to EAU: 13119\nLCE to ANR: 8923\nLCE to EAU: 3417\nANR to EAU: 7111\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AMS, HRL, GMO, COO, BJF, TJA, LIH, GAJ, VFA\n- Travel distances (in kilometers) between each pair of airports:\nAMS to COO: 5114\nAMS to TJA: 10840\nAMS to LIH: 12089\nAMS to VFA: 8769\nAMS to HRL: 8524\nAMS to GAJ: 9884\nAMS to GMO: 5318\nAMS to BJF: 2423\nHRL to COO: 11049\nHRL to TJA: 7176\nHRL to LIH: 6490\nHRL to VFA: 15600\nHRL to GAJ: 11263\nHRL to GMO: 11905\nHRL to BJF: 9544\nGMO to COO: 1064\nGMO to TJA: 9632\nGMO to LIH: 17185\nGMO to VFA: 5257\nGMO to GAJ: 13831\nGMO to BJF: 7619\nCOO to TJA: 8574\nCOO to LIH: 16564\nCOO to VFA: 4845\nCOO to GAJ: 13982\nCOO to BJF: 7511\nBJF to TJA: 13263\nBJF to LIH: 12951\nBJF to VFA: 11037\nBJF to GAJ: 10309\nTJA to LIH: 12626\nTJA to VFA: 10678\nTJA to GAJ: 17606\nLIH to VFA: 20028\nLIH to GAJ: 6676\nGAJ to VFA: 14045\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54979,
"style": "rule"
}
|
{
"exact_answer": 54979,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AMS\", \"id\": 0}, {\"name\": \"HRL\", \"id\": 1}, {\"name\": \"GMO\", \"id\": 2}, {\"name\": \"COO\", \"id\": 3}, {\"name\": \"BJF\", \"id\": 4}, {\"name\": \"TJA\", \"id\": 5}, {\"name\": \"LIH\", \"id\": 6}, {\"name\": \"GAJ\", \"id\": 7}, {\"name\": \"VFA\", \"id\": 8}], \"links\": [{\"weight\": 5114, \"source\": 0, \"target\": 3}, {\"weight\": 10840, \"source\": 0, \"target\": 5}, {\"weight\": 12089, \"source\": 0, \"target\": 6}, {\"weight\": 8769, \"source\": 0, \"target\": 8}, {\"weight\": 8524, \"source\": 0, \"target\": 1}, {\"weight\": 9884, \"source\": 0, \"target\": 7}, {\"weight\": 5318, \"source\": 0, \"target\": 2}, {\"weight\": 2423, \"source\": 0, \"target\": 4}, {\"weight\": 11049, \"source\": 1, \"target\": 3}, {\"weight\": 7176, \"source\": 1, \"target\": 5}, {\"weight\": 6490, \"source\": 1, \"target\": 6}, {\"weight\": 15600, \"source\": 1, \"target\": 8}, {\"weight\": 11263, \"source\": 1, \"target\": 7}, {\"weight\": 11905, \"source\": 1, \"target\": 2}, {\"weight\": 9544, \"source\": 1, \"target\": 4}, {\"weight\": 1064, \"source\": 2, \"target\": 3}, {\"weight\": 9632, \"source\": 2, \"target\": 5}, {\"weight\": 17185, \"source\": 2, \"target\": 6}, {\"weight\": 5257, \"source\": 2, \"target\": 8}, {\"weight\": 13831, \"source\": 2, \"target\": 7}, {\"weight\": 7619, \"source\": 2, \"target\": 4}, {\"weight\": 8574, \"source\": 3, \"target\": 5}, {\"weight\": 16564, \"source\": 3, \"target\": 6}, {\"weight\": 4845, \"source\": 3, \"target\": 8}, {\"weight\": 13982, \"source\": 3, \"target\": 7}, {\"weight\": 7511, \"source\": 3, \"target\": 4}, {\"weight\": 13263, \"source\": 4, \"target\": 5}, {\"weight\": 12951, \"source\": 4, \"target\": 6}, {\"weight\": 11037, \"source\": 4, \"target\": 8}, {\"weight\": 10309, \"source\": 4, \"target\": 7}, {\"weight\": 12626, \"source\": 5, \"target\": 6}, {\"weight\": 10678, \"source\": 5, \"target\": 8}, {\"weight\": 17606, \"source\": 5, \"target\": 7}, {\"weight\": 20028, \"source\": 6, \"target\": 8}, {\"weight\": 6676, \"source\": 6, \"target\": 7}, {\"weight\": 14045, \"source\": 7, \"target\": 8}]}",
"id": 1279,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AMS, HRL, GMO, COO, BJF, TJA, LIH, GAJ, VFA\n- Travel distances (in kilometers) between each pair of airports:\nAMS to COO: 5114\nAMS to TJA: 10840\nAMS to LIH: 12089\nAMS to VFA: 8769\nAMS to HRL: 8524\nAMS to GAJ: 9884\nAMS to GMO: 5318\nAMS to BJF: 2423\nHRL to COO: 11049\nHRL to TJA: 7176\nHRL to LIH: 6490\nHRL to VFA: 15600\nHRL to GAJ: 11263\nHRL to GMO: 11905\nHRL to BJF: 9544\nGMO to COO: 1064\nGMO to TJA: 9632\nGMO to LIH: 17185\nGMO to VFA: 5257\nGMO to GAJ: 13831\nGMO to BJF: 7619\nCOO to TJA: 8574\nCOO to LIH: 16564\nCOO to VFA: 4845\nCOO to GAJ: 13982\nCOO to BJF: 7511\nBJF to TJA: 13263\nBJF to LIH: 12951\nBJF to VFA: 11037\nBJF to GAJ: 10309\nTJA to LIH: 12626\nTJA to VFA: 10678\nTJA to GAJ: 17606\nLIH to VFA: 20028\nLIH to GAJ: 6676\nGAJ to VFA: 14045\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGE, PEI, NAP, OMH, NOV, PTU, VKG, PEM, LBB\n- Travel distances (in kilometers) between each pair of airports:\nKGE to PEM: 16285\nKGE to NAP: 16046\nKGE to PTU: 12865\nKGE to LBB: 12965\nKGE to PEI: 16807\nKGE to NOV: 17154\nKGE to OMH: 13785\nKGE to VKG: 7495\nPEI to PEM: 2924\nPEI to NAP: 9712\nPEI to PTU: 9561\nPEI to LBB: 4208\nPEI to NOV: 11432\nPEI to OMH: 13566\nPEI to VKG: 18525\nNAP to PEM: 11804\nNAP to PTU: 12460\nNAP to LBB: 9664\nNAP to NOV: 7077\nNAP to OMH: 3867\nNAP to VKG: 9629\nOMH to PEM: 15647\nOMH to PTU: 15738\nOMH to LBB: 13201\nOMH to NOV: 7251\nOMH to VKG: 7052\nNOV to PEM: 10271\nNOV to PTU: 17592\nNOV to LBB: 13873\nNOV to VKG: 11401\nPTU to PEM: 12006\nPTU to LBB: 5432\nPTU to VKG: 15285\nVKG to PEM: 20417\nVKG to LBB: 14476\nPEM to LBB: 6657\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61191,
"style": "rule"
}
|
{
"exact_answer": 61191,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KGE\", \"id\": 0}, {\"name\": \"PEI\", \"id\": 1}, {\"name\": \"NAP\", \"id\": 2}, {\"name\": \"OMH\", \"id\": 3}, {\"name\": \"NOV\", \"id\": 4}, {\"name\": \"PTU\", \"id\": 5}, {\"name\": \"VKG\", \"id\": 6}, {\"name\": \"PEM\", \"id\": 7}, {\"name\": \"LBB\", \"id\": 8}], \"links\": [{\"weight\": 16285, \"source\": 0, \"target\": 7}, {\"weight\": 16046, \"source\": 0, \"target\": 2}, {\"weight\": 12865, \"source\": 0, \"target\": 5}, {\"weight\": 12965, \"source\": 0, \"target\": 8}, {\"weight\": 16807, \"source\": 0, \"target\": 1}, {\"weight\": 17154, \"source\": 0, \"target\": 4}, {\"weight\": 13785, \"source\": 0, \"target\": 3}, {\"weight\": 7495, \"source\": 0, \"target\": 6}, {\"weight\": 2924, \"source\": 1, \"target\": 7}, {\"weight\": 9712, \"source\": 1, \"target\": 2}, {\"weight\": 9561, \"source\": 1, \"target\": 5}, {\"weight\": 4208, \"source\": 1, \"target\": 8}, {\"weight\": 11432, \"source\": 1, \"target\": 4}, {\"weight\": 13566, \"source\": 1, \"target\": 3}, {\"weight\": 18525, \"source\": 1, \"target\": 6}, {\"weight\": 11804, \"source\": 2, \"target\": 7}, {\"weight\": 12460, \"source\": 2, \"target\": 5}, {\"weight\": 9664, \"source\": 2, \"target\": 8}, {\"weight\": 7077, \"source\": 2, \"target\": 4}, {\"weight\": 3867, \"source\": 2, \"target\": 3}, {\"weight\": 9629, \"source\": 2, \"target\": 6}, {\"weight\": 15647, \"source\": 3, \"target\": 7}, {\"weight\": 15738, \"source\": 3, \"target\": 5}, {\"weight\": 13201, \"source\": 3, \"target\": 8}, {\"weight\": 7251, \"source\": 3, \"target\": 4}, {\"weight\": 7052, \"source\": 3, \"target\": 6}, {\"weight\": 10271, \"source\": 4, \"target\": 7}, {\"weight\": 17592, \"source\": 4, \"target\": 5}, {\"weight\": 13873, \"source\": 4, \"target\": 8}, {\"weight\": 11401, \"source\": 4, \"target\": 6}, {\"weight\": 12006, \"source\": 5, \"target\": 7}, {\"weight\": 5432, \"source\": 5, \"target\": 8}, {\"weight\": 15285, \"source\": 5, \"target\": 6}, {\"weight\": 20417, \"source\": 6, \"target\": 7}, {\"weight\": 14476, \"source\": 6, \"target\": 8}, {\"weight\": 6657, \"source\": 7, \"target\": 8}]}",
"id": 1280,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGE, PEI, NAP, OMH, NOV, PTU, VKG, PEM, LBB\n- Travel distances (in kilometers) between each pair of airports:\nKGE to PEM: 16285\nKGE to NAP: 16046\nKGE to PTU: 12865\nKGE to LBB: 12965\nKGE to PEI: 16807\nKGE to NOV: 17154\nKGE to OMH: 13785\nKGE to VKG: 7495\nPEI to PEM: 2924\nPEI to NAP: 9712\nPEI to PTU: 9561\nPEI to LBB: 4208\nPEI to NOV: 11432\nPEI to OMH: 13566\nPEI to VKG: 18525\nNAP to PEM: 11804\nNAP to PTU: 12460\nNAP to LBB: 9664\nNAP to NOV: 7077\nNAP to OMH: 3867\nNAP to VKG: 9629\nOMH to PEM: 15647\nOMH to PTU: 15738\nOMH to LBB: 13201\nOMH to NOV: 7251\nOMH to VKG: 7052\nNOV to PEM: 10271\nNOV to PTU: 17592\nNOV to LBB: 13873\nNOV to VKG: 11401\nPTU to PEM: 12006\nPTU to LBB: 5432\nPTU to VKG: 15285\nVKG to PEM: 20417\nVKG to LBB: 14476\nPEM to LBB: 6657\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUF, PUS, PDG, LNY, YUS, RSH, TCB, BEU, IXA\n- Travel distances (in kilometers) between each pair of airports:\nBUF to TCB: 2164\nBUF to PUS: 11623\nBUF to IXA: 13802\nBUF to RSH: 5826\nBUF to PDG: 15868\nBUF to LNY: 7535\nBUF to YUS: 12964\nBUF to BEU: 16695\nPUS to TCB: 13259\nPUS to IXA: 4543\nPUS to RSH: 11624\nPUS to PDG: 4993\nPUS to LNY: 7290\nPUS to YUS: 3083\nPUS to BEU: 7330\nPDG to TCB: 17584\nPDG to IXA: 3371\nPDG to RSH: 16336\nPDG to LNY: 11549\nPDG to YUS: 4785\nPDG to BEU: 5383\nLNY to TCB: 8066\nLNY to IXA: 11808\nLNY to RSH: 5196\nLNY to YUS: 10178\nLNY to BEU: 9270\nYUS to TCB: 14680\nYUS to IXA: 3397\nYUS to RSH: 13541\nYUS to BEU: 8614\nRSH to TCB: 7326\nRSH to IXA: 15515\nRSH to BEU: 14234\nTCB to IXA: 15388\nTCB to BEU: 17048\nBEU to IXA: 8271\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50813,
"style": "rule"
}
|
{
"exact_answer": 50813,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUF\", \"id\": 0}, {\"name\": \"PUS\", \"id\": 1}, {\"name\": \"PDG\", \"id\": 2}, {\"name\": \"LNY\", \"id\": 3}, {\"name\": \"YUS\", \"id\": 4}, {\"name\": \"RSH\", \"id\": 5}, {\"name\": \"TCB\", \"id\": 6}, {\"name\": \"BEU\", \"id\": 7}, {\"name\": \"IXA\", \"id\": 8}], \"links\": [{\"weight\": 2164, \"source\": 0, \"target\": 6}, {\"weight\": 11623, \"source\": 0, \"target\": 1}, {\"weight\": 13802, \"source\": 0, \"target\": 8}, {\"weight\": 5826, \"source\": 0, \"target\": 5}, {\"weight\": 15868, \"source\": 0, \"target\": 2}, {\"weight\": 7535, \"source\": 0, \"target\": 3}, {\"weight\": 12964, \"source\": 0, \"target\": 4}, {\"weight\": 16695, \"source\": 0, \"target\": 7}, {\"weight\": 13259, \"source\": 1, \"target\": 6}, {\"weight\": 4543, \"source\": 1, \"target\": 8}, {\"weight\": 11624, \"source\": 1, \"target\": 5}, {\"weight\": 4993, \"source\": 1, \"target\": 2}, {\"weight\": 7290, \"source\": 1, \"target\": 3}, {\"weight\": 3083, \"source\": 1, \"target\": 4}, {\"weight\": 7330, \"source\": 1, \"target\": 7}, {\"weight\": 17584, \"source\": 2, \"target\": 6}, {\"weight\": 3371, \"source\": 2, \"target\": 8}, {\"weight\": 16336, \"source\": 2, \"target\": 5}, {\"weight\": 11549, \"source\": 2, \"target\": 3}, {\"weight\": 4785, \"source\": 2, \"target\": 4}, {\"weight\": 5383, \"source\": 2, \"target\": 7}, {\"weight\": 8066, \"source\": 3, \"target\": 6}, {\"weight\": 11808, \"source\": 3, \"target\": 8}, {\"weight\": 5196, \"source\": 3, \"target\": 5}, {\"weight\": 10178, \"source\": 3, \"target\": 4}, {\"weight\": 9270, \"source\": 3, \"target\": 7}, {\"weight\": 14680, \"source\": 4, \"target\": 6}, {\"weight\": 3397, \"source\": 4, \"target\": 8}, {\"weight\": 13541, \"source\": 4, \"target\": 5}, {\"weight\": 8614, \"source\": 4, \"target\": 7}, {\"weight\": 7326, \"source\": 5, \"target\": 6}, {\"weight\": 15515, \"source\": 5, \"target\": 8}, {\"weight\": 14234, \"source\": 5, \"target\": 7}, {\"weight\": 15388, \"source\": 6, \"target\": 8}, {\"weight\": 17048, \"source\": 6, \"target\": 7}, {\"weight\": 8271, \"source\": 7, \"target\": 8}]}",
"id": 1281,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUF, PUS, PDG, LNY, YUS, RSH, TCB, BEU, IXA\n- Travel distances (in kilometers) between each pair of airports:\nBUF to TCB: 2164\nBUF to PUS: 11623\nBUF to IXA: 13802\nBUF to RSH: 5826\nBUF to PDG: 15868\nBUF to LNY: 7535\nBUF to YUS: 12964\nBUF to BEU: 16695\nPUS to TCB: 13259\nPUS to IXA: 4543\nPUS to RSH: 11624\nPUS to PDG: 4993\nPUS to LNY: 7290\nPUS to YUS: 3083\nPUS to BEU: 7330\nPDG to TCB: 17584\nPDG to IXA: 3371\nPDG to RSH: 16336\nPDG to LNY: 11549\nPDG to YUS: 4785\nPDG to BEU: 5383\nLNY to TCB: 8066\nLNY to IXA: 11808\nLNY to RSH: 5196\nLNY to YUS: 10178\nLNY to BEU: 9270\nYUS to TCB: 14680\nYUS to IXA: 3397\nYUS to RSH: 13541\nYUS to BEU: 8614\nRSH to TCB: 7326\nRSH to IXA: 15515\nRSH to BEU: 14234\nTCB to IXA: 15388\nTCB to BEU: 17048\nBEU to IXA: 8271\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URE, ONQ, CFK, BQN, IRJ, ISB, TGI, MKL, TTA\n- Travel distances (in kilometers) between each pair of airports:\nURE to ISB: 4888\nURE to CFK: 3300\nURE to IRJ: 14086\nURE to TTA: 4576\nURE to BQN: 9386\nURE to MKL: 8091\nURE to ONQ: 3853\nURE to TGI: 12502\nONQ to ISB: 7820\nONQ to CFK: 3959\nONQ to IRJ: 14661\nONQ to TTA: 5160\nONQ to BQN: 10767\nONQ to MKL: 9615\nONQ to TGI: 13201\nCFK to ISB: 6757\nCFK to IRJ: 12654\nCFK to TTA: 3089\nCFK to BQN: 9871\nCFK to MKL: 8621\nCFK to TGI: 11516\nBQN to ISB: 13748\nBQN to IRJ: 9871\nBQN to TTA: 8876\nBQN to MKL: 3018\nBQN to TGI: 6154\nIRJ to ISB: 16755\nIRJ to TTA: 9981\nIRJ to MKL: 9693\nIRJ to TGI: 4471\nISB to TTA: 7909\nISB to MKL: 12226\nISB to TGI: 16485\nTGI to TTA: 9467\nTGI to MKL: 5979\nMKL to TTA: 7757\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51471,
"style": "rule"
}
|
{
"exact_answer": 51471,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"URE\", \"id\": 0}, {\"name\": \"ONQ\", \"id\": 1}, {\"name\": \"CFK\", \"id\": 2}, {\"name\": \"BQN\", \"id\": 3}, {\"name\": \"IRJ\", \"id\": 4}, {\"name\": \"ISB\", \"id\": 5}, {\"name\": \"TGI\", \"id\": 6}, {\"name\": \"MKL\", \"id\": 7}, {\"name\": \"TTA\", \"id\": 8}], \"links\": [{\"weight\": 4888, \"source\": 0, \"target\": 5}, {\"weight\": 3300, \"source\": 0, \"target\": 2}, {\"weight\": 14086, \"source\": 0, \"target\": 4}, {\"weight\": 4576, \"source\": 0, \"target\": 8}, {\"weight\": 9386, \"source\": 0, \"target\": 3}, {\"weight\": 8091, \"source\": 0, \"target\": 7}, {\"weight\": 3853, \"source\": 0, \"target\": 1}, {\"weight\": 12502, \"source\": 0, \"target\": 6}, {\"weight\": 7820, \"source\": 1, \"target\": 5}, {\"weight\": 3959, \"source\": 1, \"target\": 2}, {\"weight\": 14661, \"source\": 1, \"target\": 4}, {\"weight\": 5160, \"source\": 1, \"target\": 8}, {\"weight\": 10767, \"source\": 1, \"target\": 3}, {\"weight\": 9615, \"source\": 1, \"target\": 7}, {\"weight\": 13201, \"source\": 1, \"target\": 6}, {\"weight\": 6757, \"source\": 2, \"target\": 5}, {\"weight\": 12654, \"source\": 2, \"target\": 4}, {\"weight\": 3089, \"source\": 2, \"target\": 8}, {\"weight\": 9871, \"source\": 2, \"target\": 3}, {\"weight\": 8621, \"source\": 2, \"target\": 7}, {\"weight\": 11516, \"source\": 2, \"target\": 6}, {\"weight\": 13748, \"source\": 3, \"target\": 5}, {\"weight\": 9871, \"source\": 3, \"target\": 4}, {\"weight\": 8876, \"source\": 3, \"target\": 8}, {\"weight\": 3018, \"source\": 3, \"target\": 7}, {\"weight\": 6154, \"source\": 3, \"target\": 6}, {\"weight\": 16755, \"source\": 4, \"target\": 5}, {\"weight\": 9981, \"source\": 4, \"target\": 8}, {\"weight\": 9693, \"source\": 4, \"target\": 7}, {\"weight\": 4471, \"source\": 4, \"target\": 6}, {\"weight\": 7909, \"source\": 5, \"target\": 8}, {\"weight\": 12226, \"source\": 5, \"target\": 7}, {\"weight\": 16485, \"source\": 5, \"target\": 6}, {\"weight\": 9467, \"source\": 6, \"target\": 8}, {\"weight\": 5979, \"source\": 6, \"target\": 7}, {\"weight\": 7757, \"source\": 7, \"target\": 8}]}",
"id": 1282,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: URE, ONQ, CFK, BQN, IRJ, ISB, TGI, MKL, TTA\n- Travel distances (in kilometers) between each pair of airports:\nURE to ISB: 4888\nURE to CFK: 3300\nURE to IRJ: 14086\nURE to TTA: 4576\nURE to BQN: 9386\nURE to MKL: 8091\nURE to ONQ: 3853\nURE to TGI: 12502\nONQ to ISB: 7820\nONQ to CFK: 3959\nONQ to IRJ: 14661\nONQ to TTA: 5160\nONQ to BQN: 10767\nONQ to MKL: 9615\nONQ to TGI: 13201\nCFK to ISB: 6757\nCFK to IRJ: 12654\nCFK to TTA: 3089\nCFK to BQN: 9871\nCFK to MKL: 8621\nCFK to TGI: 11516\nBQN to ISB: 13748\nBQN to IRJ: 9871\nBQN to TTA: 8876\nBQN to MKL: 3018\nBQN to TGI: 6154\nIRJ to ISB: 16755\nIRJ to TTA: 9981\nIRJ to MKL: 9693\nIRJ to TGI: 4471\nISB to TTA: 7909\nISB to MKL: 12226\nISB to TGI: 16485\nTGI to TTA: 9467\nTGI to MKL: 5979\nMKL to TTA: 7757\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VDA, BFQ, ORX, CCK, YOJ, YXT, LYC, BTT, YYB\n- Travel distances (in kilometers) between each pair of airports:\nVDA to LYC: 5536\nVDA to BTT: 14248\nVDA to BFQ: 13199\nVDA to YOJ: 11239\nVDA to YXT: 11847\nVDA to YYB: 9771\nVDA to ORX: 12506\nVDA to CCK: 21329\nBFQ to LYC: 11083\nBFQ to BTT: 9002\nBFQ to YOJ: 6856\nBFQ to YXT: 7104\nBFQ to YYB: 4807\nBFQ to ORX: 4535\nBFQ to CCK: 23857\nORX to LYC: 10852\nORX to BTT: 11730\nORX to YOJ: 9395\nORX to YXT: 9674\nORX to YYB: 6819\nORX to CCK: 22643\nCCK to LYC: 17676\nCCK to BTT: 19934\nCCK to YOJ: 20549\nCCK to YXT: 19802\nCCK to YYB: 22300\nYOJ to LYC: 8239\nYOJ to BTT: 4275\nYOJ to YXT: 1870\nYOJ to YYB: 3193\nYXT to LYC: 8847\nYXT to BTT: 3644\nYXT to YYB: 3618\nLYC to BTT: 11245\nLYC to YYB: 7156\nBTT to YYB: 6040\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 73701,
"style": "rule"
}
|
{
"exact_answer": 73701,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VDA\", \"id\": 0}, {\"name\": \"BFQ\", \"id\": 1}, {\"name\": \"ORX\", \"id\": 2}, {\"name\": \"CCK\", \"id\": 3}, {\"name\": \"YOJ\", \"id\": 4}, {\"name\": \"YXT\", \"id\": 5}, {\"name\": \"LYC\", \"id\": 6}, {\"name\": \"BTT\", \"id\": 7}, {\"name\": \"YYB\", \"id\": 8}], \"links\": [{\"weight\": 5536, \"source\": 0, \"target\": 6}, {\"weight\": 14248, \"source\": 0, \"target\": 7}, {\"weight\": 13199, \"source\": 0, \"target\": 1}, {\"weight\": 11239, \"source\": 0, \"target\": 4}, {\"weight\": 11847, \"source\": 0, \"target\": 5}, {\"weight\": 9771, \"source\": 0, \"target\": 8}, {\"weight\": 12506, \"source\": 0, \"target\": 2}, {\"weight\": 21329, \"source\": 0, \"target\": 3}, {\"weight\": 11083, \"source\": 1, \"target\": 6}, {\"weight\": 9002, \"source\": 1, \"target\": 7}, {\"weight\": 6856, \"source\": 1, \"target\": 4}, {\"weight\": 7104, \"source\": 1, \"target\": 5}, {\"weight\": 4807, \"source\": 1, \"target\": 8}, {\"weight\": 4535, \"source\": 1, \"target\": 2}, {\"weight\": 23857, \"source\": 1, \"target\": 3}, {\"weight\": 10852, \"source\": 2, \"target\": 6}, {\"weight\": 11730, \"source\": 2, \"target\": 7}, {\"weight\": 9395, \"source\": 2, \"target\": 4}, {\"weight\": 9674, \"source\": 2, \"target\": 5}, {\"weight\": 6819, \"source\": 2, \"target\": 8}, {\"weight\": 22643, \"source\": 2, \"target\": 3}, {\"weight\": 17676, \"source\": 3, \"target\": 6}, {\"weight\": 19934, \"source\": 3, \"target\": 7}, {\"weight\": 20549, \"source\": 3, \"target\": 4}, {\"weight\": 19802, \"source\": 3, \"target\": 5}, {\"weight\": 22300, \"source\": 3, \"target\": 8}, {\"weight\": 8239, \"source\": 4, \"target\": 6}, {\"weight\": 4275, \"source\": 4, \"target\": 7}, {\"weight\": 1870, \"source\": 4, \"target\": 5}, {\"weight\": 3193, \"source\": 4, \"target\": 8}, {\"weight\": 8847, \"source\": 5, \"target\": 6}, {\"weight\": 3644, \"source\": 5, \"target\": 7}, {\"weight\": 3618, \"source\": 5, \"target\": 8}, {\"weight\": 11245, \"source\": 6, \"target\": 7}, {\"weight\": 7156, \"source\": 6, \"target\": 8}, {\"weight\": 6040, \"source\": 7, \"target\": 8}]}",
"id": 1283,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VDA, BFQ, ORX, CCK, YOJ, YXT, LYC, BTT, YYB\n- Travel distances (in kilometers) between each pair of airports:\nVDA to LYC: 5536\nVDA to BTT: 14248\nVDA to BFQ: 13199\nVDA to YOJ: 11239\nVDA to YXT: 11847\nVDA to YYB: 9771\nVDA to ORX: 12506\nVDA to CCK: 21329\nBFQ to LYC: 11083\nBFQ to BTT: 9002\nBFQ to YOJ: 6856\nBFQ to YXT: 7104\nBFQ to YYB: 4807\nBFQ to ORX: 4535\nBFQ to CCK: 23857\nORX to LYC: 10852\nORX to BTT: 11730\nORX to YOJ: 9395\nORX to YXT: 9674\nORX to YYB: 6819\nORX to CCK: 22643\nCCK to LYC: 17676\nCCK to BTT: 19934\nCCK to YOJ: 20549\nCCK to YXT: 19802\nCCK to YYB: 22300\nYOJ to LYC: 8239\nYOJ to BTT: 4275\nYOJ to YXT: 1870\nYOJ to YYB: 3193\nYXT to LYC: 8847\nYXT to BTT: 3644\nYXT to YYB: 3618\nLYC to BTT: 11245\nLYC to YYB: 7156\nBTT to YYB: 6040\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, NBC, MYW, GAL, CCJ, MMK, AKP, RAK, HHH\n- Travel distances (in kilometers) between each pair of airports:\nMTM to NBC: 11044\nMTM to RAK: 10722\nMTM to AKP: 2142\nMTM to MMK: 9889\nMTM to GAL: 2164\nMTM to CCJ: 15230\nMTM to HHH: 5111\nMTM to MYW: 16697\nNBC to RAK: 5323\nNBC to AKP: 12794\nNBC to MMK: 2360\nNBC to GAL: 12816\nNBC to CCJ: 5622\nNBC to HHH: 9417\nNBC to MYW: 7595\nMYW to RAK: 7988\nMYW to AKP: 18447\nMYW to MMK: 8855\nMYW to GAL: 18469\nMYW to CCJ: 6542\nMYW to HHH: 14258\nGAL to RAK: 12287\nGAL to AKP: 501\nGAL to MMK: 11661\nGAL to CCJ: 17002\nGAL to HHH: 6712\nCCJ to RAK: 8934\nCCJ to AKP: 16980\nCCJ to MMK: 7684\nCCJ to HHH: 14615\nMMK to RAK: 5106\nMMK to AKP: 11639\nMMK to HHH: 8262\nAKP to RAK: 12265\nAKP to HHH: 6690\nRAK to HHH: 7142\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48898,
"style": "rule"
}
|
{
"exact_answer": 48898,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MTM\", \"id\": 0}, {\"name\": \"NBC\", \"id\": 1}, {\"name\": \"MYW\", \"id\": 2}, {\"name\": \"GAL\", \"id\": 3}, {\"name\": \"CCJ\", \"id\": 4}, {\"name\": \"MMK\", \"id\": 5}, {\"name\": \"AKP\", \"id\": 6}, {\"name\": \"RAK\", \"id\": 7}, {\"name\": \"HHH\", \"id\": 8}], \"links\": [{\"weight\": 11044, \"source\": 0, \"target\": 1}, {\"weight\": 10722, \"source\": 0, \"target\": 7}, {\"weight\": 2142, \"source\": 0, \"target\": 6}, {\"weight\": 9889, \"source\": 0, \"target\": 5}, {\"weight\": 2164, \"source\": 0, \"target\": 3}, {\"weight\": 15230, \"source\": 0, \"target\": 4}, {\"weight\": 5111, \"source\": 0, \"target\": 8}, {\"weight\": 16697, \"source\": 0, \"target\": 2}, {\"weight\": 5323, \"source\": 1, \"target\": 7}, {\"weight\": 12794, \"source\": 1, \"target\": 6}, {\"weight\": 2360, \"source\": 1, \"target\": 5}, {\"weight\": 12816, \"source\": 1, \"target\": 3}, {\"weight\": 5622, \"source\": 1, \"target\": 4}, {\"weight\": 9417, \"source\": 1, \"target\": 8}, {\"weight\": 7595, \"source\": 1, \"target\": 2}, {\"weight\": 7988, \"source\": 2, \"target\": 7}, {\"weight\": 18447, \"source\": 2, \"target\": 6}, {\"weight\": 8855, \"source\": 2, \"target\": 5}, {\"weight\": 18469, \"source\": 2, \"target\": 3}, {\"weight\": 6542, \"source\": 2, \"target\": 4}, {\"weight\": 14258, \"source\": 2, \"target\": 8}, {\"weight\": 12287, \"source\": 3, \"target\": 7}, {\"weight\": 501, \"source\": 3, \"target\": 6}, {\"weight\": 11661, \"source\": 3, \"target\": 5}, {\"weight\": 17002, \"source\": 3, \"target\": 4}, {\"weight\": 6712, \"source\": 3, \"target\": 8}, {\"weight\": 8934, \"source\": 4, \"target\": 7}, {\"weight\": 16980, \"source\": 4, \"target\": 6}, {\"weight\": 7684, \"source\": 4, \"target\": 5}, {\"weight\": 14615, \"source\": 4, \"target\": 8}, {\"weight\": 5106, \"source\": 5, \"target\": 7}, {\"weight\": 11639, \"source\": 5, \"target\": 6}, {\"weight\": 8262, \"source\": 5, \"target\": 8}, {\"weight\": 12265, \"source\": 6, \"target\": 7}, {\"weight\": 6690, \"source\": 6, \"target\": 8}, {\"weight\": 7142, \"source\": 7, \"target\": 8}]}",
"id": 1284,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, NBC, MYW, GAL, CCJ, MMK, AKP, RAK, HHH\n- Travel distances (in kilometers) between each pair of airports:\nMTM to NBC: 11044\nMTM to RAK: 10722\nMTM to AKP: 2142\nMTM to MMK: 9889\nMTM to GAL: 2164\nMTM to CCJ: 15230\nMTM to HHH: 5111\nMTM to MYW: 16697\nNBC to RAK: 5323\nNBC to AKP: 12794\nNBC to MMK: 2360\nNBC to GAL: 12816\nNBC to CCJ: 5622\nNBC to HHH: 9417\nNBC to MYW: 7595\nMYW to RAK: 7988\nMYW to AKP: 18447\nMYW to MMK: 8855\nMYW to GAL: 18469\nMYW to CCJ: 6542\nMYW to HHH: 14258\nGAL to RAK: 12287\nGAL to AKP: 501\nGAL to MMK: 11661\nGAL to CCJ: 17002\nGAL to HHH: 6712\nCCJ to RAK: 8934\nCCJ to AKP: 16980\nCCJ to MMK: 7684\nCCJ to HHH: 14615\nMMK to RAK: 5106\nMMK to AKP: 11639\nMMK to HHH: 8262\nAKP to RAK: 12265\nAKP to HHH: 6690\nRAK to HHH: 7142\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LPP, HRL, CYS, ILG, YVZ, NTX, TSN, KLG\n- Travel distances (in kilometers) between each pair of airports:\nUKS to TSN: 7562\nUKS to KLG: 12781\nUKS to CYS: 9963\nUKS to ILG: 9314\nUKS to HRL: 10798\nUKS to LPP: 4402\nUKS to NTX: 10200\nUKS to YVZ: 9774\nLPP to TSN: 10083\nLPP to KLG: 12562\nLPP to CYS: 9744\nLPP to ILG: 8889\nLPP to HRL: 10373\nLPP to NTX: 12890\nLPP to YVZ: 9349\nHRL to TSN: 11997\nHRL to KLG: 6067\nHRL to CYS: 1796\nHRL to ILG: 2911\nHRL to NTX: 17191\nHRL to YVZ: 3200\nCYS to TSN: 10524\nCYS to KLG: 4559\nCYS to ILG: 2617\nCYS to NTX: 15749\nCYS to YVZ: 1856\nILG to TSN: 12032\nILG to KLG: 6149\nILG to NTX: 16797\nILG to YVZ: 2562\nYVZ to TSN: 10906\nYVZ to KLG: 5245\nYVZ to NTX: 15901\nNTX to TSN: 5390\nNTX to KLG: 16809\nTSN to KLG: 11672\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52361,
"style": "rule"
}
|
{
"exact_answer": 52361,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"LPP\", \"id\": 1}, {\"name\": \"HRL\", \"id\": 2}, {\"name\": \"CYS\", \"id\": 3}, {\"name\": \"ILG\", \"id\": 4}, {\"name\": \"YVZ\", \"id\": 5}, {\"name\": \"NTX\", \"id\": 6}, {\"name\": \"TSN\", \"id\": 7}, {\"name\": \"KLG\", \"id\": 8}], \"links\": [{\"weight\": 7562, \"source\": 0, \"target\": 7}, {\"weight\": 12781, \"source\": 0, \"target\": 8}, {\"weight\": 9963, \"source\": 0, \"target\": 3}, {\"weight\": 9314, \"source\": 0, \"target\": 4}, {\"weight\": 10798, \"source\": 0, \"target\": 2}, {\"weight\": 4402, \"source\": 0, \"target\": 1}, {\"weight\": 10200, \"source\": 0, \"target\": 6}, {\"weight\": 9774, \"source\": 0, \"target\": 5}, {\"weight\": 10083, \"source\": 1, \"target\": 7}, {\"weight\": 12562, \"source\": 1, \"target\": 8}, {\"weight\": 9744, \"source\": 1, \"target\": 3}, {\"weight\": 8889, \"source\": 1, \"target\": 4}, {\"weight\": 10373, \"source\": 1, \"target\": 2}, {\"weight\": 12890, \"source\": 1, \"target\": 6}, {\"weight\": 9349, \"source\": 1, \"target\": 5}, {\"weight\": 11997, \"source\": 2, \"target\": 7}, {\"weight\": 6067, \"source\": 2, \"target\": 8}, {\"weight\": 1796, \"source\": 2, \"target\": 3}, {\"weight\": 2911, \"source\": 2, \"target\": 4}, {\"weight\": 17191, \"source\": 2, \"target\": 6}, {\"weight\": 3200, \"source\": 2, \"target\": 5}, {\"weight\": 10524, \"source\": 3, \"target\": 7}, {\"weight\": 4559, \"source\": 3, \"target\": 8}, {\"weight\": 2617, \"source\": 3, \"target\": 4}, {\"weight\": 15749, \"source\": 3, \"target\": 6}, {\"weight\": 1856, \"source\": 3, \"target\": 5}, {\"weight\": 12032, \"source\": 4, \"target\": 7}, {\"weight\": 6149, \"source\": 4, \"target\": 8}, {\"weight\": 16797, \"source\": 4, \"target\": 6}, {\"weight\": 2562, \"source\": 4, \"target\": 5}, {\"weight\": 10906, \"source\": 5, \"target\": 7}, {\"weight\": 5245, \"source\": 5, \"target\": 8}, {\"weight\": 15901, \"source\": 5, \"target\": 6}, {\"weight\": 5390, \"source\": 6, \"target\": 7}, {\"weight\": 16809, \"source\": 6, \"target\": 8}, {\"weight\": 11672, \"source\": 7, \"target\": 8}]}",
"id": 1285,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LPP, HRL, CYS, ILG, YVZ, NTX, TSN, KLG\n- Travel distances (in kilometers) between each pair of airports:\nUKS to TSN: 7562\nUKS to KLG: 12781\nUKS to CYS: 9963\nUKS to ILG: 9314\nUKS to HRL: 10798\nUKS to LPP: 4402\nUKS to NTX: 10200\nUKS to YVZ: 9774\nLPP to TSN: 10083\nLPP to KLG: 12562\nLPP to CYS: 9744\nLPP to ILG: 8889\nLPP to HRL: 10373\nLPP to NTX: 12890\nLPP to YVZ: 9349\nHRL to TSN: 11997\nHRL to KLG: 6067\nHRL to CYS: 1796\nHRL to ILG: 2911\nHRL to NTX: 17191\nHRL to YVZ: 3200\nCYS to TSN: 10524\nCYS to KLG: 4559\nCYS to ILG: 2617\nCYS to NTX: 15749\nCYS to YVZ: 1856\nILG to TSN: 12032\nILG to KLG: 6149\nILG to NTX: 16797\nILG to YVZ: 2562\nYVZ to TSN: 10906\nYVZ to KLG: 5245\nYVZ to NTX: 15901\nNTX to TSN: 5390\nNTX to KLG: 16809\nTSN to KLG: 11672\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, MSU, LTO, YVB, SYB, ATQ, HIR, TTA, MGF\n- Travel distances (in kilometers) between each pair of airports:\nIAO to SYB: 13950\nIAO to ATQ: 6083\nIAO to MGF: 19310\nIAO to LTO: 13375\nIAO to TTA: 13841\nIAO to HIR: 5016\nIAO to YVB: 15005\nIAO to MSU: 11680\nMSU to SYB: 19360\nMSU to ATQ: 8752\nMSU to MGF: 8378\nMSU to LTO: 18195\nMSU to TTA: 8639\nMSU to HIR: 14276\nMSU to YVB: 14292\nLTO to SYB: 5348\nLTO to ATQ: 14859\nLTO to MGF: 11365\nLTO to TTA: 11310\nLTO to HIR: 12099\nLTO to YVB: 5787\nYVB to SYB: 6729\nYVB to ATQ: 11777\nYVB to MGF: 9334\nYVB to TTA: 7019\nYVB to HIR: 15656\nSYB to ATQ: 15688\nSYB to MGF: 13673\nSYB to TTA: 12295\nSYB to HIR: 12136\nATQ to MGF: 14793\nATQ to TTA: 8147\nATQ to HIR: 10624\nHIR to MGF: 15897\nHIR to TTA: 18372\nTTA to MGF: 7817\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66336,
"style": "rule"
}
|
{
"exact_answer": 66336,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAO\", \"id\": 0}, {\"name\": \"MSU\", \"id\": 1}, {\"name\": \"LTO\", \"id\": 2}, {\"name\": \"YVB\", \"id\": 3}, {\"name\": \"SYB\", \"id\": 4}, {\"name\": \"ATQ\", \"id\": 5}, {\"name\": \"HIR\", \"id\": 6}, {\"name\": \"TTA\", \"id\": 7}, {\"name\": \"MGF\", \"id\": 8}], \"links\": [{\"weight\": 13950, \"source\": 0, \"target\": 4}, {\"weight\": 6083, \"source\": 0, \"target\": 5}, {\"weight\": 19310, \"source\": 0, \"target\": 8}, {\"weight\": 13375, \"source\": 0, \"target\": 2}, {\"weight\": 13841, \"source\": 0, \"target\": 7}, {\"weight\": 5016, \"source\": 0, \"target\": 6}, {\"weight\": 15005, \"source\": 0, \"target\": 3}, {\"weight\": 11680, \"source\": 0, \"target\": 1}, {\"weight\": 19360, \"source\": 1, \"target\": 4}, {\"weight\": 8752, \"source\": 1, \"target\": 5}, {\"weight\": 8378, \"source\": 1, \"target\": 8}, {\"weight\": 18195, \"source\": 1, \"target\": 2}, {\"weight\": 8639, \"source\": 1, \"target\": 7}, {\"weight\": 14276, \"source\": 1, \"target\": 6}, {\"weight\": 14292, \"source\": 1, \"target\": 3}, {\"weight\": 5348, \"source\": 2, \"target\": 4}, {\"weight\": 14859, \"source\": 2, \"target\": 5}, {\"weight\": 11365, \"source\": 2, \"target\": 8}, {\"weight\": 11310, \"source\": 2, \"target\": 7}, {\"weight\": 12099, \"source\": 2, \"target\": 6}, {\"weight\": 5787, \"source\": 2, \"target\": 3}, {\"weight\": 6729, \"source\": 3, \"target\": 4}, {\"weight\": 11777, \"source\": 3, \"target\": 5}, {\"weight\": 9334, \"source\": 3, \"target\": 8}, {\"weight\": 7019, \"source\": 3, \"target\": 7}, {\"weight\": 15656, \"source\": 3, \"target\": 6}, {\"weight\": 15688, \"source\": 4, \"target\": 5}, {\"weight\": 13673, \"source\": 4, \"target\": 8}, {\"weight\": 12295, \"source\": 4, \"target\": 7}, {\"weight\": 12136, \"source\": 4, \"target\": 6}, {\"weight\": 14793, \"source\": 5, \"target\": 8}, {\"weight\": 8147, \"source\": 5, \"target\": 7}, {\"weight\": 10624, \"source\": 5, \"target\": 6}, {\"weight\": 15897, \"source\": 6, \"target\": 8}, {\"weight\": 18372, \"source\": 6, \"target\": 7}, {\"weight\": 7817, \"source\": 7, \"target\": 8}]}",
"id": 1286,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, MSU, LTO, YVB, SYB, ATQ, HIR, TTA, MGF\n- Travel distances (in kilometers) between each pair of airports:\nIAO to SYB: 13950\nIAO to ATQ: 6083\nIAO to MGF: 19310\nIAO to LTO: 13375\nIAO to TTA: 13841\nIAO to HIR: 5016\nIAO to YVB: 15005\nIAO to MSU: 11680\nMSU to SYB: 19360\nMSU to ATQ: 8752\nMSU to MGF: 8378\nMSU to LTO: 18195\nMSU to TTA: 8639\nMSU to HIR: 14276\nMSU to YVB: 14292\nLTO to SYB: 5348\nLTO to ATQ: 14859\nLTO to MGF: 11365\nLTO to TTA: 11310\nLTO to HIR: 12099\nLTO to YVB: 5787\nYVB to SYB: 6729\nYVB to ATQ: 11777\nYVB to MGF: 9334\nYVB to TTA: 7019\nYVB to HIR: 15656\nSYB to ATQ: 15688\nSYB to MGF: 13673\nSYB to TTA: 12295\nSYB to HIR: 12136\nATQ to MGF: 14793\nATQ to TTA: 8147\nATQ to HIR: 10624\nHIR to MGF: 15897\nHIR to TTA: 18372\nTTA to MGF: 7817\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUC, SXP, PUJ, HJJ, TGI, GFN, TRO, BIO, LUW\n- Travel distances (in kilometers) between each pair of airports:\nCUC to PUJ: 2065\nCUC to BIO: 8650\nCUC to SXP: 9672\nCUC to HJJ: 16865\nCUC to LUW: 20379\nCUC to TGI: 2614\nCUC to GFN: 16491\nCUC to TRO: 16250\nSXP to PUJ: 8561\nSXP to BIO: 11709\nSXP to HJJ: 13522\nSXP to LUW: 16839\nSXP to TGI: 11439\nSXP to GFN: 13947\nSXP to TRO: 13706\nPUJ to BIO: 6889\nPUJ to HJJ: 15271\nPUJ to LUW: 19192\nPUJ to TGI: 3859\nPUJ to GFN: 17577\nPUJ to TRO: 17336\nHJJ to BIO: 10206\nHJJ to LUW: 4503\nHJJ to TGI: 18698\nHJJ to GFN: 8624\nHJJ to TRO: 8383\nTGI to BIO: 10170\nTGI to LUW: 19953\nTGI to GFN: 14626\nTGI to TRO: 14385\nGFN to TRO: 241\nGFN to BIO: 18052\nGFN to LUW: 6329\nTRO to BIO: 17811\nTRO to LUW: 6088\nBIO to LUW: 13707\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57992,
"style": "rule"
}
|
{
"exact_answer": 57992,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CUC\", \"id\": 0}, {\"name\": \"SXP\", \"id\": 1}, {\"name\": \"PUJ\", \"id\": 2}, {\"name\": \"HJJ\", \"id\": 3}, {\"name\": \"TGI\", \"id\": 4}, {\"name\": \"GFN\", \"id\": 5}, {\"name\": \"TRO\", \"id\": 6}, {\"name\": \"BIO\", \"id\": 7}, {\"name\": \"LUW\", \"id\": 8}], \"links\": [{\"weight\": 2065, \"source\": 0, \"target\": 2}, {\"weight\": 8650, \"source\": 0, \"target\": 7}, {\"weight\": 9672, \"source\": 0, \"target\": 1}, {\"weight\": 16865, \"source\": 0, \"target\": 3}, {\"weight\": 20379, \"source\": 0, \"target\": 8}, {\"weight\": 2614, \"source\": 0, \"target\": 4}, {\"weight\": 16491, \"source\": 0, \"target\": 5}, {\"weight\": 16250, \"source\": 0, \"target\": 6}, {\"weight\": 8561, \"source\": 1, \"target\": 2}, {\"weight\": 11709, \"source\": 1, \"target\": 7}, {\"weight\": 13522, \"source\": 1, \"target\": 3}, {\"weight\": 16839, \"source\": 1, \"target\": 8}, {\"weight\": 11439, \"source\": 1, \"target\": 4}, {\"weight\": 13947, \"source\": 1, \"target\": 5}, {\"weight\": 13706, \"source\": 1, \"target\": 6}, {\"weight\": 6889, \"source\": 2, \"target\": 7}, {\"weight\": 15271, \"source\": 2, \"target\": 3}, {\"weight\": 19192, \"source\": 2, \"target\": 8}, {\"weight\": 3859, \"source\": 2, \"target\": 4}, {\"weight\": 17577, \"source\": 2, \"target\": 5}, {\"weight\": 17336, \"source\": 2, \"target\": 6}, {\"weight\": 10206, \"source\": 3, \"target\": 7}, {\"weight\": 4503, \"source\": 3, \"target\": 8}, {\"weight\": 18698, \"source\": 3, \"target\": 4}, {\"weight\": 8624, \"source\": 3, \"target\": 5}, {\"weight\": 8383, \"source\": 3, \"target\": 6}, {\"weight\": 10170, \"source\": 4, \"target\": 7}, {\"weight\": 19953, \"source\": 4, \"target\": 8}, {\"weight\": 14626, \"source\": 4, \"target\": 5}, {\"weight\": 14385, \"source\": 4, \"target\": 6}, {\"weight\": 241, \"source\": 5, \"target\": 6}, {\"weight\": 18052, \"source\": 5, \"target\": 7}, {\"weight\": 6329, \"source\": 5, \"target\": 8}, {\"weight\": 17811, \"source\": 6, \"target\": 7}, {\"weight\": 6088, \"source\": 6, \"target\": 8}, {\"weight\": 13707, \"source\": 7, \"target\": 8}]}",
"id": 1287,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUC, SXP, PUJ, HJJ, TGI, GFN, TRO, BIO, LUW\n- Travel distances (in kilometers) between each pair of airports:\nCUC to PUJ: 2065\nCUC to BIO: 8650\nCUC to SXP: 9672\nCUC to HJJ: 16865\nCUC to LUW: 20379\nCUC to TGI: 2614\nCUC to GFN: 16491\nCUC to TRO: 16250\nSXP to PUJ: 8561\nSXP to BIO: 11709\nSXP to HJJ: 13522\nSXP to LUW: 16839\nSXP to TGI: 11439\nSXP to GFN: 13947\nSXP to TRO: 13706\nPUJ to BIO: 6889\nPUJ to HJJ: 15271\nPUJ to LUW: 19192\nPUJ to TGI: 3859\nPUJ to GFN: 17577\nPUJ to TRO: 17336\nHJJ to BIO: 10206\nHJJ to LUW: 4503\nHJJ to TGI: 18698\nHJJ to GFN: 8624\nHJJ to TRO: 8383\nTGI to BIO: 10170\nTGI to LUW: 19953\nTGI to GFN: 14626\nTGI to TRO: 14385\nGFN to TRO: 241\nGFN to BIO: 18052\nGFN to LUW: 6329\nTRO to BIO: 17811\nTRO to LUW: 6088\nBIO to LUW: 13707\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AZI, TRC, POA, AOO, MQX, DFW, ATZ, RRS, KWE\n- Travel distances (in kilometers) between each pair of airports:\nAZI to KWE: 5313\nAZI to DFW: 13048\nAZI to TRC: 14070\nAZI to POA: 13133\nAZI to MQX: 3154\nAZI to ATZ: 2585\nAZI to AOO: 11651\nAZI to RRS: 5535\nTRC to DFW: 1022\nTRC to KWE: 13600\nTRC to POA: 8396\nTRC to MQX: 14914\nTRC to ATZ: 12520\nTRC to AOO: 3012\nTRC to RRS: 9164\nPOA to KWE: 18188\nPOA to DFW: 8498\nPOA to MQX: 11284\nPOA to ATZ: 11437\nPOA to AOO: 8588\nPOA to RRS: 11794\nAOO to KWE: 13036\nAOO to DFW: 2049\nAOO to MQX: 12236\nAOO to ATZ: 9893\nAOO to RRS: 6703\nMQX to KWE: 7922\nMQX to DFW: 13935\nMQX to ATZ: 2936\nMQX to RRS: 6919\nDFW to KWE: 13067\nDFW to ATZ: 11498\nDFW to RRS: 8142\nATZ to KWE: 7519\nATZ to RRS: 4292\nRRS to KWE: 8104\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48392,
"style": "rule"
}
|
{
"exact_answer": 48392,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AZI\", \"id\": 0}, {\"name\": \"TRC\", \"id\": 1}, {\"name\": \"POA\", \"id\": 2}, {\"name\": \"AOO\", \"id\": 3}, {\"name\": \"MQX\", \"id\": 4}, {\"name\": \"DFW\", \"id\": 5}, {\"name\": \"ATZ\", \"id\": 6}, {\"name\": \"RRS\", \"id\": 7}, {\"name\": \"KWE\", \"id\": 8}], \"links\": [{\"weight\": 5313, \"source\": 0, \"target\": 8}, {\"weight\": 13048, \"source\": 0, \"target\": 5}, {\"weight\": 14070, \"source\": 0, \"target\": 1}, {\"weight\": 13133, \"source\": 0, \"target\": 2}, {\"weight\": 3154, \"source\": 0, \"target\": 4}, {\"weight\": 2585, \"source\": 0, \"target\": 6}, {\"weight\": 11651, \"source\": 0, \"target\": 3}, {\"weight\": 5535, \"source\": 0, \"target\": 7}, {\"weight\": 1022, \"source\": 1, \"target\": 5}, {\"weight\": 13600, \"source\": 1, \"target\": 8}, {\"weight\": 8396, \"source\": 1, \"target\": 2}, {\"weight\": 14914, \"source\": 1, \"target\": 4}, {\"weight\": 12520, \"source\": 1, \"target\": 6}, {\"weight\": 3012, \"source\": 1, \"target\": 3}, {\"weight\": 9164, \"source\": 1, \"target\": 7}, {\"weight\": 18188, \"source\": 2, \"target\": 8}, {\"weight\": 8498, \"source\": 2, \"target\": 5}, {\"weight\": 11284, \"source\": 2, \"target\": 4}, {\"weight\": 11437, \"source\": 2, \"target\": 6}, {\"weight\": 8588, \"source\": 2, \"target\": 3}, {\"weight\": 11794, \"source\": 2, \"target\": 7}, {\"weight\": 13036, \"source\": 3, \"target\": 8}, {\"weight\": 2049, \"source\": 3, \"target\": 5}, {\"weight\": 12236, \"source\": 3, \"target\": 4}, {\"weight\": 9893, \"source\": 3, \"target\": 6}, {\"weight\": 6703, \"source\": 3, \"target\": 7}, {\"weight\": 7922, \"source\": 4, \"target\": 8}, {\"weight\": 13935, \"source\": 4, \"target\": 5}, {\"weight\": 2936, \"source\": 4, \"target\": 6}, {\"weight\": 6919, \"source\": 4, \"target\": 7}, {\"weight\": 13067, \"source\": 5, \"target\": 8}, {\"weight\": 11498, \"source\": 5, \"target\": 6}, {\"weight\": 8142, \"source\": 5, \"target\": 7}, {\"weight\": 7519, \"source\": 6, \"target\": 8}, {\"weight\": 4292, \"source\": 6, \"target\": 7}, {\"weight\": 8104, \"source\": 7, \"target\": 8}]}",
"id": 1288,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AZI, TRC, POA, AOO, MQX, DFW, ATZ, RRS, KWE\n- Travel distances (in kilometers) between each pair of airports:\nAZI to KWE: 5313\nAZI to DFW: 13048\nAZI to TRC: 14070\nAZI to POA: 13133\nAZI to MQX: 3154\nAZI to ATZ: 2585\nAZI to AOO: 11651\nAZI to RRS: 5535\nTRC to DFW: 1022\nTRC to KWE: 13600\nTRC to POA: 8396\nTRC to MQX: 14914\nTRC to ATZ: 12520\nTRC to AOO: 3012\nTRC to RRS: 9164\nPOA to KWE: 18188\nPOA to DFW: 8498\nPOA to MQX: 11284\nPOA to ATZ: 11437\nPOA to AOO: 8588\nPOA to RRS: 11794\nAOO to KWE: 13036\nAOO to DFW: 2049\nAOO to MQX: 12236\nAOO to ATZ: 9893\nAOO to RRS: 6703\nMQX to KWE: 7922\nMQX to DFW: 13935\nMQX to ATZ: 2936\nMQX to RRS: 6919\nDFW to KWE: 13067\nDFW to ATZ: 11498\nDFW to RRS: 8142\nATZ to KWE: 7519\nATZ to RRS: 4292\nRRS to KWE: 8104\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, LNB, LFR, REC, STC, PVA, TIM, KND, JLN\n- Travel distances (in kilometers) between each pair of airports:\nERI to PVA: 4319\nERI to JLN: 2324\nERI to REC: 7622\nERI to KND: 12065\nERI to STC: 1271\nERI to TIM: 17872\nERI to LNB: 13421\nERI to LFR: 4474\nLNB to PVA: 15386\nLNB to JLN: 12491\nLNB to REC: 16660\nLNB to KND: 17580\nLNB to STC: 12831\nLNB to TIM: 8775\nLNB to LFR: 16470\nLFR to PVA: 2563\nLFR to JLN: 5107\nLFR to REC: 4866\nLFR to KND: 12887\nLFR to STC: 5340\nLFR to TIM: 22075\nREC to PVA: 5842\nREC to JLN: 8512\nREC to KND: 9314\nREC to STC: 8630\nREC to TIM: 21181\nSTC to PVA: 4945\nSTC to JLN: 2449\nSTC to KND: 13254\nSTC to TIM: 18108\nPVA to JLN: 4295\nPVA to KND: 13768\nPVA to TIM: 21522\nTIM to JLN: 18287\nTIM to KND: 15225\nKND to JLN: 14085\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61273,
"style": "rule"
}
|
{
"exact_answer": 61273,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERI\", \"id\": 0}, {\"name\": \"LNB\", \"id\": 1}, {\"name\": \"LFR\", \"id\": 2}, {\"name\": \"REC\", \"id\": 3}, {\"name\": \"STC\", \"id\": 4}, {\"name\": \"PVA\", \"id\": 5}, {\"name\": \"TIM\", \"id\": 6}, {\"name\": \"KND\", \"id\": 7}, {\"name\": \"JLN\", \"id\": 8}], \"links\": [{\"weight\": 4319, \"source\": 0, \"target\": 5}, {\"weight\": 2324, \"source\": 0, \"target\": 8}, {\"weight\": 7622, \"source\": 0, \"target\": 3}, {\"weight\": 12065, \"source\": 0, \"target\": 7}, {\"weight\": 1271, \"source\": 0, \"target\": 4}, {\"weight\": 17872, \"source\": 0, \"target\": 6}, {\"weight\": 13421, \"source\": 0, \"target\": 1}, {\"weight\": 4474, \"source\": 0, \"target\": 2}, {\"weight\": 15386, \"source\": 1, \"target\": 5}, {\"weight\": 12491, \"source\": 1, \"target\": 8}, {\"weight\": 16660, \"source\": 1, \"target\": 3}, {\"weight\": 17580, \"source\": 1, \"target\": 7}, {\"weight\": 12831, \"source\": 1, \"target\": 4}, {\"weight\": 8775, \"source\": 1, \"target\": 6}, {\"weight\": 16470, \"source\": 1, \"target\": 2}, {\"weight\": 2563, \"source\": 2, \"target\": 5}, {\"weight\": 5107, \"source\": 2, \"target\": 8}, {\"weight\": 4866, \"source\": 2, \"target\": 3}, {\"weight\": 12887, \"source\": 2, \"target\": 7}, {\"weight\": 5340, \"source\": 2, \"target\": 4}, {\"weight\": 22075, \"source\": 2, \"target\": 6}, {\"weight\": 5842, \"source\": 3, \"target\": 5}, {\"weight\": 8512, \"source\": 3, \"target\": 8}, {\"weight\": 9314, \"source\": 3, \"target\": 7}, {\"weight\": 8630, \"source\": 3, \"target\": 4}, {\"weight\": 21181, \"source\": 3, \"target\": 6}, {\"weight\": 4945, \"source\": 4, \"target\": 5}, {\"weight\": 2449, \"source\": 4, \"target\": 8}, {\"weight\": 13254, \"source\": 4, \"target\": 7}, {\"weight\": 18108, \"source\": 4, \"target\": 6}, {\"weight\": 4295, \"source\": 5, \"target\": 8}, {\"weight\": 13768, \"source\": 5, \"target\": 7}, {\"weight\": 21522, \"source\": 5, \"target\": 6}, {\"weight\": 18287, \"source\": 6, \"target\": 8}, {\"weight\": 15225, \"source\": 6, \"target\": 7}, {\"weight\": 14085, \"source\": 7, \"target\": 8}]}",
"id": 1289,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, LNB, LFR, REC, STC, PVA, TIM, KND, JLN\n- Travel distances (in kilometers) between each pair of airports:\nERI to PVA: 4319\nERI to JLN: 2324\nERI to REC: 7622\nERI to KND: 12065\nERI to STC: 1271\nERI to TIM: 17872\nERI to LNB: 13421\nERI to LFR: 4474\nLNB to PVA: 15386\nLNB to JLN: 12491\nLNB to REC: 16660\nLNB to KND: 17580\nLNB to STC: 12831\nLNB to TIM: 8775\nLNB to LFR: 16470\nLFR to PVA: 2563\nLFR to JLN: 5107\nLFR to REC: 4866\nLFR to KND: 12887\nLFR to STC: 5340\nLFR to TIM: 22075\nREC to PVA: 5842\nREC to JLN: 8512\nREC to KND: 9314\nREC to STC: 8630\nREC to TIM: 21181\nSTC to PVA: 4945\nSTC to JLN: 2449\nSTC to KND: 13254\nSTC to TIM: 18108\nPVA to JLN: 4295\nPVA to KND: 13768\nPVA to TIM: 21522\nTIM to JLN: 18287\nTIM to KND: 15225\nKND to JLN: 14085\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHP, BPL, PKN, PUE, PBD, TSF, KJA, CNM, KBR\n- Travel distances (in kilometers) between each pair of airports:\nSHP to TSF: 8540\nSHP to KJA: 3135\nSHP to PUE: 15262\nSHP to PBD: 5488\nSHP to KBR: 4691\nSHP to BPL: 3267\nSHP to PKN: 5244\nSHP to CNM: 11291\nBPL to TSF: 6308\nBPL to KJA: 2356\nBPL to PUE: 15936\nBPL to PBD: 4388\nBPL to KBR: 5596\nBPL to PKN: 6991\nBPL to CNM: 13809\nPKN to PKN: 0\nPKN to TSF: 11381\nPKN to KJA: 7348\nPKN to PUE: 19382\nPKN to PBD: 5634\nPKN to KBR: 1650\nPKN to CNM: 15448\nPUE to TSF: 10691\nPUE to KJA: 14763\nPUE to PBD: 17199\nPUE to KBR: 19307\nPUE to CNM: 4830\nPBD to TSF: 6725\nPBD to KJA: 5208\nPBD to KBR: 4447\nPBD to CNM: 15637\nTSF to KJA: 5443\nTSF to KBR: 10009\nTSF to CNM: 9554\nKJA to KBR: 5953\nKJA to CNM: 12954\nCNM to KBR: 15336\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50340,
"style": "rule"
}
|
{
"exact_answer": 50340,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SHP\", \"id\": 0}, {\"name\": \"BPL\", \"id\": 1}, {\"name\": \"PKN\", \"id\": 2}, {\"name\": \"PUE\", \"id\": 3}, {\"name\": \"PBD\", \"id\": 4}, {\"name\": \"TSF\", \"id\": 5}, {\"name\": \"KJA\", \"id\": 6}, {\"name\": \"CNM\", \"id\": 7}, {\"name\": \"KBR\", \"id\": 8}], \"links\": [{\"weight\": 8540, \"source\": 0, \"target\": 5}, {\"weight\": 3135, \"source\": 0, \"target\": 6}, {\"weight\": 15262, \"source\": 0, \"target\": 3}, {\"weight\": 5488, \"source\": 0, \"target\": 4}, {\"weight\": 4691, \"source\": 0, \"target\": 8}, {\"weight\": 3267, \"source\": 0, \"target\": 1}, {\"weight\": 5244, \"source\": 0, \"target\": 2}, {\"weight\": 11291, \"source\": 0, \"target\": 7}, {\"weight\": 6308, \"source\": 1, \"target\": 5}, {\"weight\": 2356, \"source\": 1, \"target\": 6}, {\"weight\": 15936, \"source\": 1, \"target\": 3}, {\"weight\": 4388, \"source\": 1, \"target\": 4}, {\"weight\": 5596, \"source\": 1, \"target\": 8}, {\"weight\": 6991, \"source\": 1, \"target\": 2}, {\"weight\": 13809, \"source\": 1, \"target\": 7}, {\"weight\": 0, \"source\": 2, \"target\": 2}, {\"weight\": 11381, \"source\": 2, \"target\": 5}, {\"weight\": 7348, \"source\": 2, \"target\": 6}, {\"weight\": 19382, \"source\": 2, \"target\": 3}, {\"weight\": 5634, \"source\": 2, \"target\": 4}, {\"weight\": 1650, \"source\": 2, \"target\": 8}, {\"weight\": 15448, \"source\": 2, \"target\": 7}, {\"weight\": 10691, \"source\": 3, \"target\": 5}, {\"weight\": 14763, \"source\": 3, \"target\": 6}, {\"weight\": 17199, \"source\": 3, \"target\": 4}, {\"weight\": 19307, \"source\": 3, \"target\": 8}, {\"weight\": 4830, \"source\": 3, \"target\": 7}, {\"weight\": 6725, \"source\": 4, \"target\": 5}, {\"weight\": 5208, \"source\": 4, \"target\": 6}, {\"weight\": 4447, \"source\": 4, \"target\": 8}, {\"weight\": 15637, \"source\": 4, \"target\": 7}, {\"weight\": 5443, \"source\": 5, \"target\": 6}, {\"weight\": 10009, \"source\": 5, \"target\": 8}, {\"weight\": 9554, \"source\": 5, \"target\": 7}, {\"weight\": 5953, \"source\": 6, \"target\": 8}, {\"weight\": 12954, \"source\": 6, \"target\": 7}, {\"weight\": 15336, \"source\": 7, \"target\": 8}]}",
"id": 1290,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHP, BPL, PKN, PUE, PBD, TSF, KJA, CNM, KBR\n- Travel distances (in kilometers) between each pair of airports:\nSHP to TSF: 8540\nSHP to KJA: 3135\nSHP to PUE: 15262\nSHP to PBD: 5488\nSHP to KBR: 4691\nSHP to BPL: 3267\nSHP to PKN: 5244\nSHP to CNM: 11291\nBPL to TSF: 6308\nBPL to KJA: 2356\nBPL to PUE: 15936\nBPL to PBD: 4388\nBPL to KBR: 5596\nBPL to PKN: 6991\nBPL to CNM: 13809\nPKN to PKN: 0\nPKN to TSF: 11381\nPKN to KJA: 7348\nPKN to PUE: 19382\nPKN to PBD: 5634\nPKN to KBR: 1650\nPKN to CNM: 15448\nPUE to TSF: 10691\nPUE to KJA: 14763\nPUE to PBD: 17199\nPUE to KBR: 19307\nPUE to CNM: 4830\nPBD to TSF: 6725\nPBD to KJA: 5208\nPBD to KBR: 4447\nPBD to CNM: 15637\nTSF to KJA: 5443\nTSF to KBR: 10009\nTSF to CNM: 9554\nKJA to KBR: 5953\nKJA to CNM: 12954\nCNM to KBR: 15336\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGP, UDR, RDV, MKE, MEI, MYD, LUG, AJR, TEN\n- Travel distances (in kilometers) between each pair of airports:\nTGP to AJR: 5526\nTGP to MEI: 12695\nTGP to MYD: 9136\nTGP to RDV: 14762\nTGP to UDR: 4794\nTGP to MKE: 11758\nTGP to TEN: 4635\nTGP to LUG: 6289\nUDR to AJR: 6788\nUDR to MEI: 13827\nUDR to MYD: 5566\nUDR to RDV: 15989\nUDR to MKE: 12671\nUDR to TEN: 3843\nUDR to LUG: 6855\nRDV to AJR: 11575\nRDV to MEI: 6563\nRDV to MYD: 17883\nRDV to MKE: 5153\nRDV to TEN: 13149\nRDV to LUG: 11565\nMKE to AJR: 7625\nMKE to MEI: 1506\nMKE to MYD: 13597\nMKE to TEN: 12180\nMKE to LUG: 7302\nMEI to AJR: 8585\nMEI to MYD: 14065\nMEI to TEN: 13477\nMEI to LUG: 8067\nMYD to AJR: 8054\nMYD to TEN: 8814\nMYD to LUG: 6658\nLUG to AJR: 2314\nLUG to TEN: 8958\nAJR to TEN: 8426\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52360,
"style": "rule"
}
|
{
"exact_answer": 52360,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGP\", \"id\": 0}, {\"name\": \"UDR\", \"id\": 1}, {\"name\": \"RDV\", \"id\": 2}, {\"name\": \"MKE\", \"id\": 3}, {\"name\": \"MEI\", \"id\": 4}, {\"name\": \"MYD\", \"id\": 5}, {\"name\": \"LUG\", \"id\": 6}, {\"name\": \"AJR\", \"id\": 7}, {\"name\": \"TEN\", \"id\": 8}], \"links\": [{\"weight\": 5526, \"source\": 0, \"target\": 7}, {\"weight\": 12695, \"source\": 0, \"target\": 4}, {\"weight\": 9136, \"source\": 0, \"target\": 5}, {\"weight\": 14762, \"source\": 0, \"target\": 2}, {\"weight\": 4794, \"source\": 0, \"target\": 1}, {\"weight\": 11758, \"source\": 0, \"target\": 3}, {\"weight\": 4635, \"source\": 0, \"target\": 8}, {\"weight\": 6289, \"source\": 0, \"target\": 6}, {\"weight\": 6788, \"source\": 1, \"target\": 7}, {\"weight\": 13827, \"source\": 1, \"target\": 4}, {\"weight\": 5566, \"source\": 1, \"target\": 5}, {\"weight\": 15989, \"source\": 1, \"target\": 2}, {\"weight\": 12671, \"source\": 1, \"target\": 3}, {\"weight\": 3843, \"source\": 1, \"target\": 8}, {\"weight\": 6855, \"source\": 1, \"target\": 6}, {\"weight\": 11575, \"source\": 2, \"target\": 7}, {\"weight\": 6563, \"source\": 2, \"target\": 4}, {\"weight\": 17883, \"source\": 2, \"target\": 5}, {\"weight\": 5153, \"source\": 2, \"target\": 3}, {\"weight\": 13149, \"source\": 2, \"target\": 8}, {\"weight\": 11565, \"source\": 2, \"target\": 6}, {\"weight\": 7625, \"source\": 3, \"target\": 7}, {\"weight\": 1506, \"source\": 3, \"target\": 4}, {\"weight\": 13597, \"source\": 3, \"target\": 5}, {\"weight\": 12180, \"source\": 3, \"target\": 8}, {\"weight\": 7302, \"source\": 3, \"target\": 6}, {\"weight\": 8585, \"source\": 4, \"target\": 7}, {\"weight\": 14065, \"source\": 4, \"target\": 5}, {\"weight\": 13477, \"source\": 4, \"target\": 8}, {\"weight\": 8067, \"source\": 4, \"target\": 6}, {\"weight\": 8054, \"source\": 5, \"target\": 7}, {\"weight\": 8814, \"source\": 5, \"target\": 8}, {\"weight\": 6658, \"source\": 5, \"target\": 6}, {\"weight\": 2314, \"source\": 6, \"target\": 7}, {\"weight\": 8958, \"source\": 6, \"target\": 8}, {\"weight\": 8426, \"source\": 7, \"target\": 8}]}",
"id": 1291,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGP, UDR, RDV, MKE, MEI, MYD, LUG, AJR, TEN\n- Travel distances (in kilometers) between each pair of airports:\nTGP to AJR: 5526\nTGP to MEI: 12695\nTGP to MYD: 9136\nTGP to RDV: 14762\nTGP to UDR: 4794\nTGP to MKE: 11758\nTGP to TEN: 4635\nTGP to LUG: 6289\nUDR to AJR: 6788\nUDR to MEI: 13827\nUDR to MYD: 5566\nUDR to RDV: 15989\nUDR to MKE: 12671\nUDR to TEN: 3843\nUDR to LUG: 6855\nRDV to AJR: 11575\nRDV to MEI: 6563\nRDV to MYD: 17883\nRDV to MKE: 5153\nRDV to TEN: 13149\nRDV to LUG: 11565\nMKE to AJR: 7625\nMKE to MEI: 1506\nMKE to MYD: 13597\nMKE to TEN: 12180\nMKE to LUG: 7302\nMEI to AJR: 8585\nMEI to MYD: 14065\nMEI to TEN: 13477\nMEI to LUG: 8067\nMYD to AJR: 8054\nMYD to TEN: 8814\nMYD to LUG: 6658\nLUG to AJR: 2314\nLUG to TEN: 8958\nAJR to TEN: 8426\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GLT, NNB, BRQ, DCN, KHG, MNG, UAS, NYO, TCB\n- Travel distances (in kilometers) between each pair of airports:\nGLT to TCB: 15880\nGLT to KHG: 10621\nGLT to UAS: 13412\nGLT to NYO: 15607\nGLT to BRQ: 17339\nGLT to NNB: 2868\nGLT to DCN: 5822\nGLT to MNG: 2928\nNNB to TCB: 15337\nNNB to KHG: 10845\nNNB to UAS: 15194\nNNB to NYO: 15831\nNNB to BRQ: 17563\nNNB to DCN: 7769\nNNB to MNG: 4598\nBRQ to TCB: 8749\nBRQ to KHG: 8445\nBRQ to UAS: 8848\nBRQ to NYO: 2497\nBRQ to DCN: 17480\nBRQ to MNG: 15478\nDCN to TCB: 20834\nDCN to KHG: 11518\nDCN to UAS: 11152\nDCN to NYO: 15756\nDCN to MNG: 4799\nKHG to TCB: 14258\nKHG to UAS: 8480\nKHG to NYO: 6722\nKHG to MNG: 8762\nMNG to TCB: 18662\nMNG to UAS: 12226\nMNG to NYO: 13749\nUAS to TCB: 14819\nUAS to NYO: 7619\nNYO to TCB: 8848\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63532,
"style": "rule"
}
|
{
"exact_answer": 63532,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GLT\", \"id\": 0}, {\"name\": \"NNB\", \"id\": 1}, {\"name\": \"BRQ\", \"id\": 2}, {\"name\": \"DCN\", \"id\": 3}, {\"name\": \"KHG\", \"id\": 4}, {\"name\": \"MNG\", \"id\": 5}, {\"name\": \"UAS\", \"id\": 6}, {\"name\": \"NYO\", \"id\": 7}, {\"name\": \"TCB\", \"id\": 8}], \"links\": [{\"weight\": 15880, \"source\": 0, \"target\": 8}, {\"weight\": 10621, \"source\": 0, \"target\": 4}, {\"weight\": 13412, \"source\": 0, \"target\": 6}, {\"weight\": 15607, \"source\": 0, \"target\": 7}, {\"weight\": 17339, \"source\": 0, \"target\": 2}, {\"weight\": 2868, \"source\": 0, \"target\": 1}, {\"weight\": 5822, \"source\": 0, \"target\": 3}, {\"weight\": 2928, \"source\": 0, \"target\": 5}, {\"weight\": 15337, \"source\": 1, \"target\": 8}, {\"weight\": 10845, \"source\": 1, \"target\": 4}, {\"weight\": 15194, \"source\": 1, \"target\": 6}, {\"weight\": 15831, \"source\": 1, \"target\": 7}, {\"weight\": 17563, \"source\": 1, \"target\": 2}, {\"weight\": 7769, \"source\": 1, \"target\": 3}, {\"weight\": 4598, \"source\": 1, \"target\": 5}, {\"weight\": 8749, \"source\": 2, \"target\": 8}, {\"weight\": 8445, \"source\": 2, \"target\": 4}, {\"weight\": 8848, \"source\": 2, \"target\": 6}, {\"weight\": 2497, \"source\": 2, \"target\": 7}, {\"weight\": 17480, \"source\": 2, \"target\": 3}, {\"weight\": 15478, \"source\": 2, \"target\": 5}, {\"weight\": 20834, \"source\": 3, \"target\": 8}, {\"weight\": 11518, \"source\": 3, \"target\": 4}, {\"weight\": 11152, \"source\": 3, \"target\": 6}, {\"weight\": 15756, \"source\": 3, \"target\": 7}, {\"weight\": 4799, \"source\": 3, \"target\": 5}, {\"weight\": 14258, \"source\": 4, \"target\": 8}, {\"weight\": 8480, \"source\": 4, \"target\": 6}, {\"weight\": 6722, \"source\": 4, \"target\": 7}, {\"weight\": 8762, \"source\": 4, \"target\": 5}, {\"weight\": 18662, \"source\": 5, \"target\": 8}, {\"weight\": 12226, \"source\": 5, \"target\": 6}, {\"weight\": 13749, \"source\": 5, \"target\": 7}, {\"weight\": 14819, \"source\": 6, \"target\": 8}, {\"weight\": 7619, \"source\": 6, \"target\": 7}, {\"weight\": 8848, \"source\": 7, \"target\": 8}]}",
"id": 1292,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GLT, NNB, BRQ, DCN, KHG, MNG, UAS, NYO, TCB\n- Travel distances (in kilometers) between each pair of airports:\nGLT to TCB: 15880\nGLT to KHG: 10621\nGLT to UAS: 13412\nGLT to NYO: 15607\nGLT to BRQ: 17339\nGLT to NNB: 2868\nGLT to DCN: 5822\nGLT to MNG: 2928\nNNB to TCB: 15337\nNNB to KHG: 10845\nNNB to UAS: 15194\nNNB to NYO: 15831\nNNB to BRQ: 17563\nNNB to DCN: 7769\nNNB to MNG: 4598\nBRQ to TCB: 8749\nBRQ to KHG: 8445\nBRQ to UAS: 8848\nBRQ to NYO: 2497\nBRQ to DCN: 17480\nBRQ to MNG: 15478\nDCN to TCB: 20834\nDCN to KHG: 11518\nDCN to UAS: 11152\nDCN to NYO: 15756\nDCN to MNG: 4799\nKHG to TCB: 14258\nKHG to UAS: 8480\nKHG to NYO: 6722\nKHG to MNG: 8762\nMNG to TCB: 18662\nMNG to UAS: 12226\nMNG to NYO: 13749\nUAS to TCB: 14819\nUAS to NYO: 7619\nNYO to TCB: 8848\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACX, BTI, GXH, MLH, ELQ, NUP, VKT, JZH, SFO\n- Travel distances (in kilometers) between each pair of airports:\nACX to JZH: 990\nACX to GXH: 1666\nACX to NUP: 13679\nACX to BTI: 13771\nACX to VKT: 7178\nACX to MLH: 9324\nACX to SFO: 11496\nACX to ELQ: 6554\nBTI to JZH: 13205\nBTI to GXH: 13263\nBTI to NUP: 1720\nBTI to VKT: 13675\nBTI to MLH: 11559\nBTI to SFO: 4183\nBTI to ELQ: 15179\nGXH to JZH: 1062\nGXH to NUP: 13171\nGXH to VKT: 7000\nGXH to MLH: 8968\nGXH to SFO: 10988\nGXH to ELQ: 5944\nMLH to JZH: 8805\nMLH to NUP: 11467\nMLH to VKT: 4591\nMLH to SFO: 9381\nMLH to ELQ: 3974\nELQ to JZH: 6175\nELQ to NUP: 15087\nELQ to VKT: 5791\nELQ to SFO: 12951\nNUP to JZH: 13113\nNUP to VKT: 13583\nNUP to SFO: 4035\nVKT to JZH: 6659\nVKT to SFO: 11566\nJZH to SFO: 10930\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47188,
"style": "rule"
}
|
{
"exact_answer": 47188,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACX\", \"id\": 0}, {\"name\": \"BTI\", \"id\": 1}, {\"name\": \"GXH\", \"id\": 2}, {\"name\": \"MLH\", \"id\": 3}, {\"name\": \"ELQ\", \"id\": 4}, {\"name\": \"NUP\", \"id\": 5}, {\"name\": \"VKT\", \"id\": 6}, {\"name\": \"JZH\", \"id\": 7}, {\"name\": \"SFO\", \"id\": 8}], \"links\": [{\"weight\": 990, \"source\": 0, \"target\": 7}, {\"weight\": 1666, \"source\": 0, \"target\": 2}, {\"weight\": 13679, \"source\": 0, \"target\": 5}, {\"weight\": 13771, \"source\": 0, \"target\": 1}, {\"weight\": 7178, \"source\": 0, \"target\": 6}, {\"weight\": 9324, \"source\": 0, \"target\": 3}, {\"weight\": 11496, \"source\": 0, \"target\": 8}, {\"weight\": 6554, \"source\": 0, \"target\": 4}, {\"weight\": 13205, \"source\": 1, \"target\": 7}, {\"weight\": 13263, \"source\": 1, \"target\": 2}, {\"weight\": 1720, \"source\": 1, \"target\": 5}, {\"weight\": 13675, \"source\": 1, \"target\": 6}, {\"weight\": 11559, \"source\": 1, \"target\": 3}, {\"weight\": 4183, \"source\": 1, \"target\": 8}, {\"weight\": 15179, \"source\": 1, \"target\": 4}, {\"weight\": 1062, \"source\": 2, \"target\": 7}, {\"weight\": 13171, \"source\": 2, \"target\": 5}, {\"weight\": 7000, \"source\": 2, \"target\": 6}, {\"weight\": 8968, \"source\": 2, \"target\": 3}, {\"weight\": 10988, \"source\": 2, \"target\": 8}, {\"weight\": 5944, \"source\": 2, \"target\": 4}, {\"weight\": 8805, \"source\": 3, \"target\": 7}, {\"weight\": 11467, \"source\": 3, \"target\": 5}, {\"weight\": 4591, \"source\": 3, \"target\": 6}, {\"weight\": 9381, \"source\": 3, \"target\": 8}, {\"weight\": 3974, \"source\": 3, \"target\": 4}, {\"weight\": 6175, \"source\": 4, \"target\": 7}, {\"weight\": 15087, \"source\": 4, \"target\": 5}, {\"weight\": 5791, \"source\": 4, \"target\": 6}, {\"weight\": 12951, \"source\": 4, \"target\": 8}, {\"weight\": 13113, \"source\": 5, \"target\": 7}, {\"weight\": 13583, \"source\": 5, \"target\": 6}, {\"weight\": 4035, \"source\": 5, \"target\": 8}, {\"weight\": 6659, \"source\": 6, \"target\": 7}, {\"weight\": 11566, \"source\": 6, \"target\": 8}, {\"weight\": 10930, \"source\": 7, \"target\": 8}]}",
"id": 1293,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACX, BTI, GXH, MLH, ELQ, NUP, VKT, JZH, SFO\n- Travel distances (in kilometers) between each pair of airports:\nACX to JZH: 990\nACX to GXH: 1666\nACX to NUP: 13679\nACX to BTI: 13771\nACX to VKT: 7178\nACX to MLH: 9324\nACX to SFO: 11496\nACX to ELQ: 6554\nBTI to JZH: 13205\nBTI to GXH: 13263\nBTI to NUP: 1720\nBTI to VKT: 13675\nBTI to MLH: 11559\nBTI to SFO: 4183\nBTI to ELQ: 15179\nGXH to JZH: 1062\nGXH to NUP: 13171\nGXH to VKT: 7000\nGXH to MLH: 8968\nGXH to SFO: 10988\nGXH to ELQ: 5944\nMLH to JZH: 8805\nMLH to NUP: 11467\nMLH to VKT: 4591\nMLH to SFO: 9381\nMLH to ELQ: 3974\nELQ to JZH: 6175\nELQ to NUP: 15087\nELQ to VKT: 5791\nELQ to SFO: 12951\nNUP to JZH: 13113\nNUP to VKT: 13583\nNUP to SFO: 4035\nVKT to JZH: 6659\nVKT to SFO: 11566\nJZH to SFO: 10930\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TEB, DOM, ZIG, NTG, KAO, XEQ, ZSA, CUZ, DRS\n- Travel distances (in kilometers) between each pair of airports:\nTEB to CUZ: 7216\nTEB to DRS: 6688\nTEB to DOM: 3627\nTEB to NTG: 12732\nTEB to ZSA: 2807\nTEB to KAO: 7467\nTEB to ZIG: 6854\nTEB to XEQ: 6381\nDOM to CUZ: 4342\nDOM to DRS: 7686\nDOM to NTG: 14989\nDOM to ZSA: 1688\nDOM to KAO: 9271\nDOM to ZIG: 7204\nDOM to XEQ: 9040\nZIG to CUZ: 8838\nZIG to DRS: 5189\nZIG to NTG: 13538\nZIG to ZSA: 8479\nZIG to KAO: 7050\nZIG to XEQ: 8354\nNTG to CUZ: 17861\nNTG to DRS: 8410\nNTG to ZSA: 13919\nNTG to KAO: 7945\nNTG to XEQ: 11747\nKAO to CUZ: 13290\nKAO to DRS: 2579\nKAO to ZSA: 9314\nKAO to XEQ: 5132\nXEQ to CUZ: 12629\nXEQ to DRS: 4726\nXEQ to ZSA: 8228\nZSA to CUZ: 4871\nZSA to DRS: 8281\nCUZ to DRS: 11694\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50732,
"style": "rule"
}
|
{
"exact_answer": 50732,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TEB\", \"id\": 0}, {\"name\": \"DOM\", \"id\": 1}, {\"name\": \"ZIG\", \"id\": 2}, {\"name\": \"NTG\", \"id\": 3}, {\"name\": \"KAO\", \"id\": 4}, {\"name\": \"XEQ\", \"id\": 5}, {\"name\": \"ZSA\", \"id\": 6}, {\"name\": \"CUZ\", \"id\": 7}, {\"name\": \"DRS\", \"id\": 8}], \"links\": [{\"weight\": 7216, \"source\": 0, \"target\": 7}, {\"weight\": 6688, \"source\": 0, \"target\": 8}, {\"weight\": 3627, \"source\": 0, \"target\": 1}, {\"weight\": 12732, \"source\": 0, \"target\": 3}, {\"weight\": 2807, \"source\": 0, \"target\": 6}, {\"weight\": 7467, \"source\": 0, \"target\": 4}, {\"weight\": 6854, \"source\": 0, \"target\": 2}, {\"weight\": 6381, \"source\": 0, \"target\": 5}, {\"weight\": 4342, \"source\": 1, \"target\": 7}, {\"weight\": 7686, \"source\": 1, \"target\": 8}, {\"weight\": 14989, \"source\": 1, \"target\": 3}, {\"weight\": 1688, \"source\": 1, \"target\": 6}, {\"weight\": 9271, \"source\": 1, \"target\": 4}, {\"weight\": 7204, \"source\": 1, \"target\": 2}, {\"weight\": 9040, \"source\": 1, \"target\": 5}, {\"weight\": 8838, \"source\": 2, \"target\": 7}, {\"weight\": 5189, \"source\": 2, \"target\": 8}, {\"weight\": 13538, \"source\": 2, \"target\": 3}, {\"weight\": 8479, \"source\": 2, \"target\": 6}, {\"weight\": 7050, \"source\": 2, \"target\": 4}, {\"weight\": 8354, \"source\": 2, \"target\": 5}, {\"weight\": 17861, \"source\": 3, \"target\": 7}, {\"weight\": 8410, \"source\": 3, \"target\": 8}, {\"weight\": 13919, \"source\": 3, \"target\": 6}, {\"weight\": 7945, \"source\": 3, \"target\": 4}, {\"weight\": 11747, \"source\": 3, \"target\": 5}, {\"weight\": 13290, \"source\": 4, \"target\": 7}, {\"weight\": 2579, \"source\": 4, \"target\": 8}, {\"weight\": 9314, \"source\": 4, \"target\": 6}, {\"weight\": 5132, \"source\": 4, \"target\": 5}, {\"weight\": 12629, \"source\": 5, \"target\": 7}, {\"weight\": 4726, \"source\": 5, \"target\": 8}, {\"weight\": 8228, \"source\": 5, \"target\": 6}, {\"weight\": 4871, \"source\": 6, \"target\": 7}, {\"weight\": 8281, \"source\": 6, \"target\": 8}, {\"weight\": 11694, \"source\": 7, \"target\": 8}]}",
"id": 1294,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TEB, DOM, ZIG, NTG, KAO, XEQ, ZSA, CUZ, DRS\n- Travel distances (in kilometers) between each pair of airports:\nTEB to CUZ: 7216\nTEB to DRS: 6688\nTEB to DOM: 3627\nTEB to NTG: 12732\nTEB to ZSA: 2807\nTEB to KAO: 7467\nTEB to ZIG: 6854\nTEB to XEQ: 6381\nDOM to CUZ: 4342\nDOM to DRS: 7686\nDOM to NTG: 14989\nDOM to ZSA: 1688\nDOM to KAO: 9271\nDOM to ZIG: 7204\nDOM to XEQ: 9040\nZIG to CUZ: 8838\nZIG to DRS: 5189\nZIG to NTG: 13538\nZIG to ZSA: 8479\nZIG to KAO: 7050\nZIG to XEQ: 8354\nNTG to CUZ: 17861\nNTG to DRS: 8410\nNTG to ZSA: 13919\nNTG to KAO: 7945\nNTG to XEQ: 11747\nKAO to CUZ: 13290\nKAO to DRS: 2579\nKAO to ZSA: 9314\nKAO to XEQ: 5132\nXEQ to CUZ: 12629\nXEQ to DRS: 4726\nXEQ to ZSA: 8228\nZSA to CUZ: 4871\nZSA to DRS: 8281\nCUZ to DRS: 11694\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KAE, AET, BRQ, OIT, NYU, SHX, TNW, LXA\n- Travel distances (in kilometers) between each pair of airports:\nADF to LXA: 6159\nADF to NYU: 7603\nADF to SHX: 13814\nADF to AET: 13608\nADF to TNW: 12510\nADF to BRQ: 4557\nADF to OIT: 9042\nADF to KAE: 12475\nKAE to LXA: 12921\nKAE to NYU: 13315\nKAE to SHX: 1707\nKAE to AET: 1783\nKAE to TNW: 8570\nKAE to BRQ: 10514\nKAE to OIT: 10101\nAET to LXA: 14054\nAET to NYU: 14448\nAET to SHX: 1342\nAET to TNW: 9703\nAET to BRQ: 11647\nAET to OIT: 11234\nBRQ to LXA: 9259\nBRQ to NYU: 10703\nBRQ to SHX: 11853\nBRQ to TNW: 11053\nBRQ to OIT: 10674\nOIT to LXA: 4052\nOIT to NYU: 4188\nOIT to SHX: 11440\nOIT to TNW: 15351\nNYU to LXA: 2168\nNYU to SHX: 14654\nNYU to TNW: 18504\nSHX to LXA: 14260\nSHX to TNW: 9821\nTNW to LXA: 17452\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50978,
"style": "rule"
}
|
{
"exact_answer": 50978,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ADF\", \"id\": 0}, {\"name\": \"KAE\", \"id\": 1}, {\"name\": \"AET\", \"id\": 2}, {\"name\": \"BRQ\", \"id\": 3}, {\"name\": \"OIT\", \"id\": 4}, {\"name\": \"NYU\", \"id\": 5}, {\"name\": \"SHX\", \"id\": 6}, {\"name\": \"TNW\", \"id\": 7}, {\"name\": \"LXA\", \"id\": 8}], \"links\": [{\"weight\": 6159, \"source\": 0, \"target\": 8}, {\"weight\": 7603, \"source\": 0, \"target\": 5}, {\"weight\": 13814, \"source\": 0, \"target\": 6}, {\"weight\": 13608, \"source\": 0, \"target\": 2}, {\"weight\": 12510, \"source\": 0, \"target\": 7}, {\"weight\": 4557, \"source\": 0, \"target\": 3}, {\"weight\": 9042, \"source\": 0, \"target\": 4}, {\"weight\": 12475, \"source\": 0, \"target\": 1}, {\"weight\": 12921, \"source\": 1, \"target\": 8}, {\"weight\": 13315, \"source\": 1, \"target\": 5}, {\"weight\": 1707, \"source\": 1, \"target\": 6}, {\"weight\": 1783, \"source\": 1, \"target\": 2}, {\"weight\": 8570, \"source\": 1, \"target\": 7}, {\"weight\": 10514, \"source\": 1, \"target\": 3}, {\"weight\": 10101, \"source\": 1, \"target\": 4}, {\"weight\": 14054, \"source\": 2, \"target\": 8}, {\"weight\": 14448, \"source\": 2, \"target\": 5}, {\"weight\": 1342, \"source\": 2, \"target\": 6}, {\"weight\": 9703, \"source\": 2, \"target\": 7}, {\"weight\": 11647, \"source\": 2, \"target\": 3}, {\"weight\": 11234, \"source\": 2, \"target\": 4}, {\"weight\": 9259, \"source\": 3, \"target\": 8}, {\"weight\": 10703, \"source\": 3, \"target\": 5}, {\"weight\": 11853, \"source\": 3, \"target\": 6}, {\"weight\": 11053, \"source\": 3, \"target\": 7}, {\"weight\": 10674, \"source\": 3, \"target\": 4}, {\"weight\": 4052, \"source\": 4, \"target\": 8}, {\"weight\": 4188, \"source\": 4, \"target\": 5}, {\"weight\": 11440, \"source\": 4, \"target\": 6}, {\"weight\": 15351, \"source\": 4, \"target\": 7}, {\"weight\": 2168, \"source\": 5, \"target\": 8}, {\"weight\": 14654, \"source\": 5, \"target\": 6}, {\"weight\": 18504, \"source\": 5, \"target\": 7}, {\"weight\": 14260, \"source\": 6, \"target\": 8}, {\"weight\": 9821, \"source\": 6, \"target\": 7}, {\"weight\": 17452, \"source\": 7, \"target\": 8}]}",
"id": 1295,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KAE, AET, BRQ, OIT, NYU, SHX, TNW, LXA\n- Travel distances (in kilometers) between each pair of airports:\nADF to LXA: 6159\nADF to NYU: 7603\nADF to SHX: 13814\nADF to AET: 13608\nADF to TNW: 12510\nADF to BRQ: 4557\nADF to OIT: 9042\nADF to KAE: 12475\nKAE to LXA: 12921\nKAE to NYU: 13315\nKAE to SHX: 1707\nKAE to AET: 1783\nKAE to TNW: 8570\nKAE to BRQ: 10514\nKAE to OIT: 10101\nAET to LXA: 14054\nAET to NYU: 14448\nAET to SHX: 1342\nAET to TNW: 9703\nAET to BRQ: 11647\nAET to OIT: 11234\nBRQ to LXA: 9259\nBRQ to NYU: 10703\nBRQ to SHX: 11853\nBRQ to TNW: 11053\nBRQ to OIT: 10674\nOIT to LXA: 4052\nOIT to NYU: 4188\nOIT to SHX: 11440\nOIT to TNW: 15351\nNYU to LXA: 2168\nNYU to SHX: 14654\nNYU to TNW: 18504\nSHX to LXA: 14260\nSHX to TNW: 9821\nTNW to LXA: 17452\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXR, SMR, TET, BDQ, ODY, INB, YPH, KCH, MJU\n- Travel distances (in kilometers) between each pair of airports:\nAXR to YPH: 11308\nAXR to BDQ: 16556\nAXR to KCH: 12432\nAXR to SMR: 12974\nAXR to MJU: 11886\nAXR to INB: 10642\nAXR to ODY: 14367\nAXR to TET: 18807\nSMR to YPH: 6421\nSMR to BDQ: 16490\nSMR to KCH: 19566\nSMR to MJU: 20425\nSMR to INB: 2631\nSMR to ODY: 18428\nSMR to TET: 13734\nTET to YPH: 15142\nTET to BDQ: 7062\nTET to KCH: 10571\nTET to MJU: 12040\nTET to INB: 15293\nTET to ODY: 10212\nBDQ to YPH: 13659\nBDQ to KCH: 4954\nBDQ to MJU: 6423\nBDQ to INB: 15588\nBDQ to ODY: 4210\nODY to YPH: 15285\nODY to KCH: 2863\nODY to MJU: 4302\nODY to INB: 16362\nINB to YPH: 4932\nINB to KCH: 17244\nINB to MJU: 18106\nYPH to KCH: 15870\nYPH to MJU: 16729\nKCH to MJU: 1822\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60448,
"style": "rule"
}
|
{
"exact_answer": 60448,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AXR\", \"id\": 0}, {\"name\": \"SMR\", \"id\": 1}, {\"name\": \"TET\", \"id\": 2}, {\"name\": \"BDQ\", \"id\": 3}, {\"name\": \"ODY\", \"id\": 4}, {\"name\": \"INB\", \"id\": 5}, {\"name\": \"YPH\", \"id\": 6}, {\"name\": \"KCH\", \"id\": 7}, {\"name\": \"MJU\", \"id\": 8}], \"links\": [{\"weight\": 11308, \"source\": 0, \"target\": 6}, {\"weight\": 16556, \"source\": 0, \"target\": 3}, {\"weight\": 12432, \"source\": 0, \"target\": 7}, {\"weight\": 12974, \"source\": 0, \"target\": 1}, {\"weight\": 11886, \"source\": 0, \"target\": 8}, {\"weight\": 10642, \"source\": 0, \"target\": 5}, {\"weight\": 14367, \"source\": 0, \"target\": 4}, {\"weight\": 18807, \"source\": 0, \"target\": 2}, {\"weight\": 6421, \"source\": 1, \"target\": 6}, {\"weight\": 16490, \"source\": 1, \"target\": 3}, {\"weight\": 19566, \"source\": 1, \"target\": 7}, {\"weight\": 20425, \"source\": 1, \"target\": 8}, {\"weight\": 2631, \"source\": 1, \"target\": 5}, {\"weight\": 18428, \"source\": 1, \"target\": 4}, {\"weight\": 13734, \"source\": 1, \"target\": 2}, {\"weight\": 15142, \"source\": 2, \"target\": 6}, {\"weight\": 7062, \"source\": 2, \"target\": 3}, {\"weight\": 10571, \"source\": 2, \"target\": 7}, {\"weight\": 12040, \"source\": 2, \"target\": 8}, {\"weight\": 15293, \"source\": 2, \"target\": 5}, {\"weight\": 10212, \"source\": 2, \"target\": 4}, {\"weight\": 13659, \"source\": 3, \"target\": 6}, {\"weight\": 4954, \"source\": 3, \"target\": 7}, {\"weight\": 6423, \"source\": 3, \"target\": 8}, {\"weight\": 15588, \"source\": 3, \"target\": 5}, {\"weight\": 4210, \"source\": 3, \"target\": 4}, {\"weight\": 15285, \"source\": 4, \"target\": 6}, {\"weight\": 2863, \"source\": 4, \"target\": 7}, {\"weight\": 4302, \"source\": 4, \"target\": 8}, {\"weight\": 16362, \"source\": 4, \"target\": 5}, {\"weight\": 4932, \"source\": 5, \"target\": 6}, {\"weight\": 17244, \"source\": 5, \"target\": 7}, {\"weight\": 18106, \"source\": 5, \"target\": 8}, {\"weight\": 15870, \"source\": 6, \"target\": 7}, {\"weight\": 16729, \"source\": 6, \"target\": 8}, {\"weight\": 1822, \"source\": 7, \"target\": 8}]}",
"id": 1296,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXR, SMR, TET, BDQ, ODY, INB, YPH, KCH, MJU\n- Travel distances (in kilometers) between each pair of airports:\nAXR to YPH: 11308\nAXR to BDQ: 16556\nAXR to KCH: 12432\nAXR to SMR: 12974\nAXR to MJU: 11886\nAXR to INB: 10642\nAXR to ODY: 14367\nAXR to TET: 18807\nSMR to YPH: 6421\nSMR to BDQ: 16490\nSMR to KCH: 19566\nSMR to MJU: 20425\nSMR to INB: 2631\nSMR to ODY: 18428\nSMR to TET: 13734\nTET to YPH: 15142\nTET to BDQ: 7062\nTET to KCH: 10571\nTET to MJU: 12040\nTET to INB: 15293\nTET to ODY: 10212\nBDQ to YPH: 13659\nBDQ to KCH: 4954\nBDQ to MJU: 6423\nBDQ to INB: 15588\nBDQ to ODY: 4210\nODY to YPH: 15285\nODY to KCH: 2863\nODY to MJU: 4302\nODY to INB: 16362\nINB to YPH: 4932\nINB to KCH: 17244\nINB to MJU: 18106\nYPH to KCH: 15870\nYPH to MJU: 16729\nKCH to MJU: 1822\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IND, WAG, WRE, WAW, DIG, CXJ, AZD, YYQ, BUS\n- Travel distances (in kilometers) between each pair of airports:\nIND to WAW: 7640\nIND to YYQ: 2424\nIND to DIG: 12920\nIND to BUS: 9593\nIND to CXJ: 8709\nIND to AZD: 11451\nIND to WAG: 13727\nIND to WRE: 13540\nWAG to WAW: 17698\nWAG to YYQ: 14304\nWAG to DIG: 11078\nWAG to BUS: 16350\nWAG to CXJ: 12920\nWAG to AZD: 15330\nWAG to WRE: 471\nWRE to WAW: 17511\nWRE to YYQ: 14117\nWRE to DIG: 10891\nWRE to BUS: 16163\nWRE to CXJ: 12733\nWRE to AZD: 15143\nWAW to YYQ: 9305\nWAW to DIG: 7466\nWAW to BUS: 2002\nWAW to CXJ: 11444\nWAW to AZD: 3932\nDIG to YYQ: 13430\nDIG to BUS: 5776\nDIG to CXJ: 17441\nDIG to AZD: 4814\nCXJ to YYQ: 11119\nCXJ to BUS: 12440\nCXJ to AZD: 13237\nAZD to YYQ: 12895\nAZD to BUS: 2171\nYYQ to BUS: 11304\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53707,
"style": "rule"
}
|
{
"exact_answer": 53707,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IND\", \"id\": 0}, {\"name\": \"WAG\", \"id\": 1}, {\"name\": \"WRE\", \"id\": 2}, {\"name\": \"WAW\", \"id\": 3}, {\"name\": \"DIG\", \"id\": 4}, {\"name\": \"CXJ\", \"id\": 5}, {\"name\": \"AZD\", \"id\": 6}, {\"name\": \"YYQ\", \"id\": 7}, {\"name\": \"BUS\", \"id\": 8}], \"links\": [{\"weight\": 7640, \"source\": 0, \"target\": 3}, {\"weight\": 2424, \"source\": 0, \"target\": 7}, {\"weight\": 12920, \"source\": 0, \"target\": 4}, {\"weight\": 9593, \"source\": 0, \"target\": 8}, {\"weight\": 8709, \"source\": 0, \"target\": 5}, {\"weight\": 11451, \"source\": 0, \"target\": 6}, {\"weight\": 13727, \"source\": 0, \"target\": 1}, {\"weight\": 13540, \"source\": 0, \"target\": 2}, {\"weight\": 17698, \"source\": 1, \"target\": 3}, {\"weight\": 14304, \"source\": 1, \"target\": 7}, {\"weight\": 11078, \"source\": 1, \"target\": 4}, {\"weight\": 16350, \"source\": 1, \"target\": 8}, {\"weight\": 12920, \"source\": 1, \"target\": 5}, {\"weight\": 15330, \"source\": 1, \"target\": 6}, {\"weight\": 471, \"source\": 1, \"target\": 2}, {\"weight\": 17511, \"source\": 2, \"target\": 3}, {\"weight\": 14117, \"source\": 2, \"target\": 7}, {\"weight\": 10891, \"source\": 2, \"target\": 4}, {\"weight\": 16163, \"source\": 2, \"target\": 8}, {\"weight\": 12733, \"source\": 2, \"target\": 5}, {\"weight\": 15143, \"source\": 2, \"target\": 6}, {\"weight\": 9305, \"source\": 3, \"target\": 7}, {\"weight\": 7466, \"source\": 3, \"target\": 4}, {\"weight\": 2002, \"source\": 3, \"target\": 8}, {\"weight\": 11444, \"source\": 3, \"target\": 5}, {\"weight\": 3932, \"source\": 3, \"target\": 6}, {\"weight\": 13430, \"source\": 4, \"target\": 7}, {\"weight\": 5776, \"source\": 4, \"target\": 8}, {\"weight\": 17441, \"source\": 4, \"target\": 5}, {\"weight\": 4814, \"source\": 4, \"target\": 6}, {\"weight\": 11119, \"source\": 5, \"target\": 7}, {\"weight\": 12440, \"source\": 5, \"target\": 8}, {\"weight\": 13237, \"source\": 5, \"target\": 6}, {\"weight\": 12895, \"source\": 6, \"target\": 7}, {\"weight\": 2171, \"source\": 6, \"target\": 8}, {\"weight\": 11304, \"source\": 7, \"target\": 8}]}",
"id": 1297,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IND, WAG, WRE, WAW, DIG, CXJ, AZD, YYQ, BUS\n- Travel distances (in kilometers) between each pair of airports:\nIND to WAW: 7640\nIND to YYQ: 2424\nIND to DIG: 12920\nIND to BUS: 9593\nIND to CXJ: 8709\nIND to AZD: 11451\nIND to WAG: 13727\nIND to WRE: 13540\nWAG to WAW: 17698\nWAG to YYQ: 14304\nWAG to DIG: 11078\nWAG to BUS: 16350\nWAG to CXJ: 12920\nWAG to AZD: 15330\nWAG to WRE: 471\nWRE to WAW: 17511\nWRE to YYQ: 14117\nWRE to DIG: 10891\nWRE to BUS: 16163\nWRE to CXJ: 12733\nWRE to AZD: 15143\nWAW to YYQ: 9305\nWAW to DIG: 7466\nWAW to BUS: 2002\nWAW to CXJ: 11444\nWAW to AZD: 3932\nDIG to YYQ: 13430\nDIG to BUS: 5776\nDIG to CXJ: 17441\nDIG to AZD: 4814\nCXJ to YYQ: 11119\nCXJ to BUS: 12440\nCXJ to AZD: 13237\nAZD to YYQ: 12895\nAZD to BUS: 2171\nYYQ to BUS: 11304\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MAQ, FKI, DAV, BNS, YAC, LHR, EZE, KSQ\n- Travel distances (in kilometers) between each pair of airports:\nJBR to KSQ: 11689\nJBR to EZE: 9164\nJBR to LHR: 7076\nJBR to DAV: 3966\nJBR to BNS: 4637\nJBR to FKI: 13243\nJBR to MAQ: 14995\nJBR to YAC: 2249\nMAQ to KSQ: 5285\nMAQ to EZE: 19104\nMAQ to LHR: 9952\nMAQ to DAV: 18017\nMAQ to BNS: 17914\nMAQ to FKI: 11667\nMAQ to YAC: 14611\nFKI to KSQ: 9327\nFKI to EZE: 9974\nFKI to LHR: 7639\nFKI to DAV: 14039\nFKI to BNS: 12719\nFKI to YAC: 13433\nDAV to KSQ: 14116\nDAV to EZE: 5986\nDAV to LHR: 9176\nDAV to BNS: 2587\nDAV to YAC: 5393\nBNS to KSQ: 13297\nBNS to EZE: 5544\nBNS to LHR: 8199\nBNS to YAC: 5657\nYAC to KSQ: 11675\nYAC to EZE: 10369\nYAC to LHR: 7065\nLHR to EZE: 11137\nLHR to KSQ: 5313\nEZE to KSQ: 15977\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53650,
"style": "rule"
}
|
{
"exact_answer": 53650,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JBR\", \"id\": 0}, {\"name\": \"MAQ\", \"id\": 1}, {\"name\": \"FKI\", \"id\": 2}, {\"name\": \"DAV\", \"id\": 3}, {\"name\": \"BNS\", \"id\": 4}, {\"name\": \"YAC\", \"id\": 5}, {\"name\": \"LHR\", \"id\": 6}, {\"name\": \"EZE\", \"id\": 7}, {\"name\": \"KSQ\", \"id\": 8}], \"links\": [{\"weight\": 11689, \"source\": 0, \"target\": 8}, {\"weight\": 9164, \"source\": 0, \"target\": 7}, {\"weight\": 7076, \"source\": 0, \"target\": 6}, {\"weight\": 3966, \"source\": 0, \"target\": 3}, {\"weight\": 4637, \"source\": 0, \"target\": 4}, {\"weight\": 13243, \"source\": 0, \"target\": 2}, {\"weight\": 14995, \"source\": 0, \"target\": 1}, {\"weight\": 2249, \"source\": 0, \"target\": 5}, {\"weight\": 5285, \"source\": 1, \"target\": 8}, {\"weight\": 19104, \"source\": 1, \"target\": 7}, {\"weight\": 9952, \"source\": 1, \"target\": 6}, {\"weight\": 18017, \"source\": 1, \"target\": 3}, {\"weight\": 17914, \"source\": 1, \"target\": 4}, {\"weight\": 11667, \"source\": 1, \"target\": 2}, {\"weight\": 14611, \"source\": 1, \"target\": 5}, {\"weight\": 9327, \"source\": 2, \"target\": 8}, {\"weight\": 9974, \"source\": 2, \"target\": 7}, {\"weight\": 7639, \"source\": 2, \"target\": 6}, {\"weight\": 14039, \"source\": 2, \"target\": 3}, {\"weight\": 12719, \"source\": 2, \"target\": 4}, {\"weight\": 13433, \"source\": 2, \"target\": 5}, {\"weight\": 14116, \"source\": 3, \"target\": 8}, {\"weight\": 5986, \"source\": 3, \"target\": 7}, {\"weight\": 9176, \"source\": 3, \"target\": 6}, {\"weight\": 2587, \"source\": 3, \"target\": 4}, {\"weight\": 5393, \"source\": 3, \"target\": 5}, {\"weight\": 13297, \"source\": 4, \"target\": 8}, {\"weight\": 5544, \"source\": 4, \"target\": 7}, {\"weight\": 8199, \"source\": 4, \"target\": 6}, {\"weight\": 5657, \"source\": 4, \"target\": 5}, {\"weight\": 11675, \"source\": 5, \"target\": 8}, {\"weight\": 10369, \"source\": 5, \"target\": 7}, {\"weight\": 7065, \"source\": 5, \"target\": 6}, {\"weight\": 11137, \"source\": 6, \"target\": 7}, {\"weight\": 5313, \"source\": 6, \"target\": 8}, {\"weight\": 15977, \"source\": 7, \"target\": 8}]}",
"id": 1298,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MAQ, FKI, DAV, BNS, YAC, LHR, EZE, KSQ\n- Travel distances (in kilometers) between each pair of airports:\nJBR to KSQ: 11689\nJBR to EZE: 9164\nJBR to LHR: 7076\nJBR to DAV: 3966\nJBR to BNS: 4637\nJBR to FKI: 13243\nJBR to MAQ: 14995\nJBR to YAC: 2249\nMAQ to KSQ: 5285\nMAQ to EZE: 19104\nMAQ to LHR: 9952\nMAQ to DAV: 18017\nMAQ to BNS: 17914\nMAQ to FKI: 11667\nMAQ to YAC: 14611\nFKI to KSQ: 9327\nFKI to EZE: 9974\nFKI to LHR: 7639\nFKI to DAV: 14039\nFKI to BNS: 12719\nFKI to YAC: 13433\nDAV to KSQ: 14116\nDAV to EZE: 5986\nDAV to LHR: 9176\nDAV to BNS: 2587\nDAV to YAC: 5393\nBNS to KSQ: 13297\nBNS to EZE: 5544\nBNS to LHR: 8199\nBNS to YAC: 5657\nYAC to KSQ: 11675\nYAC to EZE: 10369\nYAC to LHR: 7065\nLHR to EZE: 11137\nLHR to KSQ: 5313\nEZE to KSQ: 15977\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZN, PPT, PHE, SIC, BSL, REL, BRM, BDQ, AFZ\n- Travel distances (in kilometers) between each pair of airports:\nBZN to BSL: 8564\nBZN to BDQ: 14154\nBZN to BRM: 5756\nBZN to SIC: 5350\nBZN to REL: 11421\nBZN to PPT: 8118\nBZN to AFZ: 12909\nBZN to PHE: 15481\nPPT to BSL: 16090\nPPT to BDQ: 16147\nPPT to BRM: 12430\nPPT to SIC: 11612\nPPT to REL: 9680\nPPT to AFZ: 17841\nPPT to PHE: 9662\nPHE to BSL: 13396\nPHE to BDQ: 7294\nPHE to BRM: 20356\nPHE to SIC: 20114\nPHE to REL: 16862\nPHE to AFZ: 10360\nSIC to BSL: 10027\nSIC to BDQ: 16727\nSIC to BRM: 2590\nSIC to REL: 7330\nSIC to AFZ: 14441\nBSL to BDQ: 6997\nBSL to BRM: 8284\nBSL to REL: 12369\nBSL to AFZ: 4452\nREL to BDQ: 16939\nREL to BRM: 6492\nREL to AFZ: 15847\nBRM to BDQ: 15165\nBRM to AFZ: 12600\nBDQ to AFZ: 3982\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58066,
"style": "rule"
}
|
{
"exact_answer": 58066,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZN\", \"id\": 0}, {\"name\": \"PPT\", \"id\": 1}, {\"name\": \"PHE\", \"id\": 2}, {\"name\": \"SIC\", \"id\": 3}, {\"name\": \"BSL\", \"id\": 4}, {\"name\": \"REL\", \"id\": 5}, {\"name\": \"BRM\", \"id\": 6}, {\"name\": \"BDQ\", \"id\": 7}, {\"name\": \"AFZ\", \"id\": 8}], \"links\": [{\"weight\": 8564, \"source\": 0, \"target\": 4}, {\"weight\": 14154, \"source\": 0, \"target\": 7}, {\"weight\": 5756, \"source\": 0, \"target\": 6}, {\"weight\": 5350, \"source\": 0, \"target\": 3}, {\"weight\": 11421, \"source\": 0, \"target\": 5}, {\"weight\": 8118, \"source\": 0, \"target\": 1}, {\"weight\": 12909, \"source\": 0, \"target\": 8}, {\"weight\": 15481, \"source\": 0, \"target\": 2}, {\"weight\": 16090, \"source\": 1, \"target\": 4}, {\"weight\": 16147, \"source\": 1, \"target\": 7}, {\"weight\": 12430, \"source\": 1, \"target\": 6}, {\"weight\": 11612, \"source\": 1, \"target\": 3}, {\"weight\": 9680, \"source\": 1, \"target\": 5}, {\"weight\": 17841, \"source\": 1, \"target\": 8}, {\"weight\": 9662, \"source\": 1, \"target\": 2}, {\"weight\": 13396, \"source\": 2, \"target\": 4}, {\"weight\": 7294, \"source\": 2, \"target\": 7}, {\"weight\": 20356, \"source\": 2, \"target\": 6}, {\"weight\": 20114, \"source\": 2, \"target\": 3}, {\"weight\": 16862, \"source\": 2, \"target\": 5}, {\"weight\": 10360, \"source\": 2, \"target\": 8}, {\"weight\": 10027, \"source\": 3, \"target\": 4}, {\"weight\": 16727, \"source\": 3, \"target\": 7}, {\"weight\": 2590, \"source\": 3, \"target\": 6}, {\"weight\": 7330, \"source\": 3, \"target\": 5}, {\"weight\": 14441, \"source\": 3, \"target\": 8}, {\"weight\": 6997, \"source\": 4, \"target\": 7}, {\"weight\": 8284, \"source\": 4, \"target\": 6}, {\"weight\": 12369, \"source\": 4, \"target\": 5}, {\"weight\": 4452, \"source\": 4, \"target\": 8}, {\"weight\": 16939, \"source\": 5, \"target\": 7}, {\"weight\": 6492, \"source\": 5, \"target\": 6}, {\"weight\": 15847, \"source\": 5, \"target\": 8}, {\"weight\": 15165, \"source\": 6, \"target\": 7}, {\"weight\": 12600, \"source\": 6, \"target\": 8}, {\"weight\": 3982, \"source\": 7, \"target\": 8}]}",
"id": 1299,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BZN, PPT, PHE, SIC, BSL, REL, BRM, BDQ, AFZ\n- Travel distances (in kilometers) between each pair of airports:\nBZN to BSL: 8564\nBZN to BDQ: 14154\nBZN to BRM: 5756\nBZN to SIC: 5350\nBZN to REL: 11421\nBZN to PPT: 8118\nBZN to AFZ: 12909\nBZN to PHE: 15481\nPPT to BSL: 16090\nPPT to BDQ: 16147\nPPT to BRM: 12430\nPPT to SIC: 11612\nPPT to REL: 9680\nPPT to AFZ: 17841\nPPT to PHE: 9662\nPHE to BSL: 13396\nPHE to BDQ: 7294\nPHE to BRM: 20356\nPHE to SIC: 20114\nPHE to REL: 16862\nPHE to AFZ: 10360\nSIC to BSL: 10027\nSIC to BDQ: 16727\nSIC to BRM: 2590\nSIC to REL: 7330\nSIC to AFZ: 14441\nBSL to BDQ: 6997\nBSL to BRM: 8284\nBSL to REL: 12369\nBSL to AFZ: 4452\nREL to BDQ: 16939\nREL to BRM: 6492\nREL to AFZ: 15847\nBRM to BDQ: 15165\nBRM to AFZ: 12600\nBDQ to AFZ: 3982\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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