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: VER, OSM, CMN, DAC, PBD, CJU, YZT, TNW, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nVER to CMN: 9142\nVER to DAC: 16109\nVER to CJU: 12779\nVER to SHJ: 14341\nVER to YZT: 4589\nVER to PBD: 16250\nVER to TNW: 3573\nVER to OSM: 12792\nOSM to CMN: 4660\nOSM to DAC: 6202\nOSM to CJU: 9098\nOSM to SHJ: 2863\nOSM to YZT: 11562\nOSM to PBD: 5207\nOSM to TNW: 12952\nCMN to DAC: 9265\nCMN to CJU: 11179\nCMN to SHJ: 6103\nCMN to YZT: 9697\nCMN to PBD: 8442\nCMN to TNW: 8504\nDAC to SHJ: 3521\nDAC to CJU: 3751\nDAC to YZT: 12202\nDAC to PBD: 2325\nDAC to TNW: 17491\nPBD to CJU: 6004\nPBD to SHJ: 2351\nPBD to YZT: 14057\nPBD to TNW: 16862\nCJU to SHJ: 6969\nCJU to YZT: 8980\nCJU to TNW: 15724\nYZT to SHJ: 12994\nYZT to TNW: 7448\nTNW to SHJ: 14552\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41596,
"style": "rule"
}
|
{
"exact_answer": 41596,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VER\", \"id\": 0}, {\"name\": \"OSM\", \"id\": 1}, {\"name\": \"CMN\", \"id\": 2}, {\"name\": \"DAC\", \"id\": 3}, {\"name\": \"PBD\", \"id\": 4}, {\"name\": \"CJU\", \"id\": 5}, {\"name\": \"YZT\", \"id\": 6}, {\"name\": \"TNW\", \"id\": 7}, {\"name\": \"SHJ\", \"id\": 8}], \"links\": [{\"weight\": 9142, \"source\": 0, \"target\": 2}, {\"weight\": 16109, \"source\": 0, \"target\": 3}, {\"weight\": 12779, \"source\": 0, \"target\": 5}, {\"weight\": 14341, \"source\": 0, \"target\": 8}, {\"weight\": 4589, \"source\": 0, \"target\": 6}, {\"weight\": 16250, \"source\": 0, \"target\": 4}, {\"weight\": 3573, \"source\": 0, \"target\": 7}, {\"weight\": 12792, \"source\": 0, \"target\": 1}, {\"weight\": 4660, \"source\": 1, \"target\": 2}, {\"weight\": 6202, \"source\": 1, \"target\": 3}, {\"weight\": 9098, \"source\": 1, \"target\": 5}, {\"weight\": 2863, \"source\": 1, \"target\": 8}, {\"weight\": 11562, \"source\": 1, \"target\": 6}, {\"weight\": 5207, \"source\": 1, \"target\": 4}, {\"weight\": 12952, \"source\": 1, \"target\": 7}, {\"weight\": 9265, \"source\": 2, \"target\": 3}, {\"weight\": 11179, \"source\": 2, \"target\": 5}, {\"weight\": 6103, \"source\": 2, \"target\": 8}, {\"weight\": 9697, \"source\": 2, \"target\": 6}, {\"weight\": 8442, \"source\": 2, \"target\": 4}, {\"weight\": 8504, \"source\": 2, \"target\": 7}, {\"weight\": 3521, \"source\": 3, \"target\": 8}, {\"weight\": 3751, \"source\": 3, \"target\": 5}, {\"weight\": 12202, \"source\": 3, \"target\": 6}, {\"weight\": 2325, \"source\": 3, \"target\": 4}, {\"weight\": 17491, \"source\": 3, \"target\": 7}, {\"weight\": 6004, \"source\": 4, \"target\": 5}, {\"weight\": 2351, \"source\": 4, \"target\": 8}, {\"weight\": 14057, \"source\": 4, \"target\": 6}, {\"weight\": 16862, \"source\": 4, \"target\": 7}, {\"weight\": 6969, \"source\": 5, \"target\": 8}, {\"weight\": 8980, \"source\": 5, \"target\": 6}, {\"weight\": 15724, \"source\": 5, \"target\": 7}, {\"weight\": 12994, \"source\": 6, \"target\": 8}, {\"weight\": 7448, \"source\": 6, \"target\": 7}, {\"weight\": 14552, \"source\": 7, \"target\": 8}]}",
"id": 1600,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VER, OSM, CMN, DAC, PBD, CJU, YZT, TNW, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nVER to CMN: 9142\nVER to DAC: 16109\nVER to CJU: 12779\nVER to SHJ: 14341\nVER to YZT: 4589\nVER to PBD: 16250\nVER to TNW: 3573\nVER to OSM: 12792\nOSM to CMN: 4660\nOSM to DAC: 6202\nOSM to CJU: 9098\nOSM to SHJ: 2863\nOSM to YZT: 11562\nOSM to PBD: 5207\nOSM to TNW: 12952\nCMN to DAC: 9265\nCMN to CJU: 11179\nCMN to SHJ: 6103\nCMN to YZT: 9697\nCMN to PBD: 8442\nCMN to TNW: 8504\nDAC to SHJ: 3521\nDAC to CJU: 3751\nDAC to YZT: 12202\nDAC to PBD: 2325\nDAC to TNW: 17491\nPBD to CJU: 6004\nPBD to SHJ: 2351\nPBD to YZT: 14057\nPBD to TNW: 16862\nCJU to SHJ: 6969\nCJU to YZT: 8980\nCJU to TNW: 15724\nYZT to SHJ: 12994\nYZT to TNW: 7448\nTNW to SHJ: 14552\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SFA, SZX, ZAL, NRN, CNM, MAH, ZMT, WIL, GCC\n- Travel distances (in kilometers) between each pair of airports:\nSFA to SZX: 9998\nSFA to ZMT: 10465\nSFA to MAH: 1315\nSFA to WIL: 6032\nSFA to GCC: 10070\nSFA to NRN: 1972\nSFA to ZAL: 12779\nSFA to CNM: 10375\nSZX to ZMT: 11060\nSZX to MAH: 10149\nSZX to WIL: 9224\nSZX to GCC: 12182\nSZX to NRN: 9229\nSZX to ZAL: 19896\nSZX to CNM: 12684\nZAL to ZMT: 12081\nZAL to MAH: 12107\nZAL to WIL: 13082\nZAL to GCC: 10126\nZAL to NRN: 12947\nZAL to CNM: 9812\nNRN to ZMT: 8720\nNRN to MAH: 1365\nNRN to WIL: 7203\nNRN to GCC: 8403\nNRN to CNM: 8831\nCNM to ZMT: 3261\nCNM to MAH: 9517\nCNM to WIL: 15686\nCNM to GCC: 1436\nMAH to ZMT: 9732\nMAH to WIL: 7162\nMAH to GCC: 9243\nZMT to WIL: 15661\nZMT to GCC: 2757\nWIL to GCC: 15312\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55765,
"style": "rule"
}
|
{
"exact_answer": 55765,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SFA\", \"id\": 0}, {\"name\": \"SZX\", \"id\": 1}, {\"name\": \"ZAL\", \"id\": 2}, {\"name\": \"NRN\", \"id\": 3}, {\"name\": \"CNM\", \"id\": 4}, {\"name\": \"MAH\", \"id\": 5}, {\"name\": \"ZMT\", \"id\": 6}, {\"name\": \"WIL\", \"id\": 7}, {\"name\": \"GCC\", \"id\": 8}], \"links\": [{\"weight\": 9998, \"source\": 0, \"target\": 1}, {\"weight\": 10465, \"source\": 0, \"target\": 6}, {\"weight\": 1315, \"source\": 0, \"target\": 5}, {\"weight\": 6032, \"source\": 0, \"target\": 7}, {\"weight\": 10070, \"source\": 0, \"target\": 8}, {\"weight\": 1972, \"source\": 0, \"target\": 3}, {\"weight\": 12779, \"source\": 0, \"target\": 2}, {\"weight\": 10375, \"source\": 0, \"target\": 4}, {\"weight\": 11060, \"source\": 1, \"target\": 6}, {\"weight\": 10149, \"source\": 1, \"target\": 5}, {\"weight\": 9224, \"source\": 1, \"target\": 7}, {\"weight\": 12182, \"source\": 1, \"target\": 8}, {\"weight\": 9229, \"source\": 1, \"target\": 3}, {\"weight\": 19896, \"source\": 1, \"target\": 2}, {\"weight\": 12684, \"source\": 1, \"target\": 4}, {\"weight\": 12081, \"source\": 2, \"target\": 6}, {\"weight\": 12107, \"source\": 2, \"target\": 5}, {\"weight\": 13082, \"source\": 2, \"target\": 7}, {\"weight\": 10126, \"source\": 2, \"target\": 8}, {\"weight\": 12947, \"source\": 2, \"target\": 3}, {\"weight\": 9812, \"source\": 2, \"target\": 4}, {\"weight\": 8720, \"source\": 3, \"target\": 6}, {\"weight\": 1365, \"source\": 3, \"target\": 5}, {\"weight\": 7203, \"source\": 3, \"target\": 7}, {\"weight\": 8403, \"source\": 3, \"target\": 8}, {\"weight\": 8831, \"source\": 3, \"target\": 4}, {\"weight\": 3261, \"source\": 4, \"target\": 6}, {\"weight\": 9517, \"source\": 4, \"target\": 5}, {\"weight\": 15686, \"source\": 4, \"target\": 7}, {\"weight\": 1436, \"source\": 4, \"target\": 8}, {\"weight\": 9732, \"source\": 5, \"target\": 6}, {\"weight\": 7162, \"source\": 5, \"target\": 7}, {\"weight\": 9243, \"source\": 5, \"target\": 8}, {\"weight\": 15661, \"source\": 6, \"target\": 7}, {\"weight\": 2757, \"source\": 6, \"target\": 8}, {\"weight\": 15312, \"source\": 7, \"target\": 8}]}",
"id": 1601,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SFA, SZX, ZAL, NRN, CNM, MAH, ZMT, WIL, GCC\n- Travel distances (in kilometers) between each pair of airports:\nSFA to SZX: 9998\nSFA to ZMT: 10465\nSFA to MAH: 1315\nSFA to WIL: 6032\nSFA to GCC: 10070\nSFA to NRN: 1972\nSFA to ZAL: 12779\nSFA to CNM: 10375\nSZX to ZMT: 11060\nSZX to MAH: 10149\nSZX to WIL: 9224\nSZX to GCC: 12182\nSZX to NRN: 9229\nSZX to ZAL: 19896\nSZX to CNM: 12684\nZAL to ZMT: 12081\nZAL to MAH: 12107\nZAL to WIL: 13082\nZAL to GCC: 10126\nZAL to NRN: 12947\nZAL to CNM: 9812\nNRN to ZMT: 8720\nNRN to MAH: 1365\nNRN to WIL: 7203\nNRN to GCC: 8403\nNRN to CNM: 8831\nCNM to ZMT: 3261\nCNM to MAH: 9517\nCNM to WIL: 15686\nCNM to GCC: 1436\nMAH to ZMT: 9732\nMAH to WIL: 7162\nMAH to GCC: 9243\nZMT to WIL: 15661\nZMT to GCC: 2757\nWIL to GCC: 15312\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CFC, PMV, JIC, BHS, ISC, CIX, CFB, CJJ\n- Travel distances (in kilometers) between each pair of airports:\nBUC to CJJ: 7478\nBUC to PMV: 19141\nBUC to CFB: 16968\nBUC to JIC: 8114\nBUC to ISC: 16100\nBUC to CIX: 17015\nBUC to CFC: 16339\nBUC to BHS: 2865\nCFC to CJJ: 19040\nCFC to PMV: 4803\nCFC to CFB: 1011\nCFC to JIC: 17769\nCFC to ISC: 10251\nCFC to CIX: 4222\nCFC to BHS: 13930\nPMV to CJJ: 15554\nPMV to CFB: 4598\nPMV to JIC: 15383\nPMV to ISC: 7691\nPMV to CIX: 3737\nPMV to BHS: 16732\nJIC to CJJ: 2518\nJIC to CFB: 17327\nJIC to ISC: 8599\nJIC to CIX: 18769\nJIC to BHS: 9649\nBHS to CJJ: 8871\nBHS to CFB: 14559\nBHS to ISC: 17634\nBHS to CIX: 14606\nISC to CJJ: 9609\nISC to CFB: 9692\nISC to CIX: 11428\nCIX to CJJ: 17490\nCIX to CFB: 4581\nCFB to CJJ: 18354\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52410,
"style": "rule"
}
|
{
"exact_answer": 52410,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUC\", \"id\": 0}, {\"name\": \"CFC\", \"id\": 1}, {\"name\": \"PMV\", \"id\": 2}, {\"name\": \"JIC\", \"id\": 3}, {\"name\": \"BHS\", \"id\": 4}, {\"name\": \"ISC\", \"id\": 5}, {\"name\": \"CIX\", \"id\": 6}, {\"name\": \"CFB\", \"id\": 7}, {\"name\": \"CJJ\", \"id\": 8}], \"links\": [{\"weight\": 7478, \"source\": 0, \"target\": 8}, {\"weight\": 19141, \"source\": 0, \"target\": 2}, {\"weight\": 16968, \"source\": 0, \"target\": 7}, {\"weight\": 8114, \"source\": 0, \"target\": 3}, {\"weight\": 16100, \"source\": 0, \"target\": 5}, {\"weight\": 17015, \"source\": 0, \"target\": 6}, {\"weight\": 16339, \"source\": 0, \"target\": 1}, {\"weight\": 2865, \"source\": 0, \"target\": 4}, {\"weight\": 19040, \"source\": 1, \"target\": 8}, {\"weight\": 4803, \"source\": 1, \"target\": 2}, {\"weight\": 1011, \"source\": 1, \"target\": 7}, {\"weight\": 17769, \"source\": 1, \"target\": 3}, {\"weight\": 10251, \"source\": 1, \"target\": 5}, {\"weight\": 4222, \"source\": 1, \"target\": 6}, {\"weight\": 13930, \"source\": 1, \"target\": 4}, {\"weight\": 15554, \"source\": 2, \"target\": 8}, {\"weight\": 4598, \"source\": 2, \"target\": 7}, {\"weight\": 15383, \"source\": 2, \"target\": 3}, {\"weight\": 7691, \"source\": 2, \"target\": 5}, {\"weight\": 3737, \"source\": 2, \"target\": 6}, {\"weight\": 16732, \"source\": 2, \"target\": 4}, {\"weight\": 2518, \"source\": 3, \"target\": 8}, {\"weight\": 17327, \"source\": 3, \"target\": 7}, {\"weight\": 8599, \"source\": 3, \"target\": 5}, {\"weight\": 18769, \"source\": 3, \"target\": 6}, {\"weight\": 9649, \"source\": 3, \"target\": 4}, {\"weight\": 8871, \"source\": 4, \"target\": 8}, {\"weight\": 14559, \"source\": 4, \"target\": 7}, {\"weight\": 17634, \"source\": 4, \"target\": 5}, {\"weight\": 14606, \"source\": 4, \"target\": 6}, {\"weight\": 9609, \"source\": 5, \"target\": 8}, {\"weight\": 9692, \"source\": 5, \"target\": 7}, {\"weight\": 11428, \"source\": 5, \"target\": 6}, {\"weight\": 17490, \"source\": 6, \"target\": 8}, {\"weight\": 4581, \"source\": 6, \"target\": 7}, {\"weight\": 18354, \"source\": 7, \"target\": 8}]}",
"id": 1602,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CFC, PMV, JIC, BHS, ISC, CIX, CFB, CJJ\n- Travel distances (in kilometers) between each pair of airports:\nBUC to CJJ: 7478\nBUC to PMV: 19141\nBUC to CFB: 16968\nBUC to JIC: 8114\nBUC to ISC: 16100\nBUC to CIX: 17015\nBUC to CFC: 16339\nBUC to BHS: 2865\nCFC to CJJ: 19040\nCFC to PMV: 4803\nCFC to CFB: 1011\nCFC to JIC: 17769\nCFC to ISC: 10251\nCFC to CIX: 4222\nCFC to BHS: 13930\nPMV to CJJ: 15554\nPMV to CFB: 4598\nPMV to JIC: 15383\nPMV to ISC: 7691\nPMV to CIX: 3737\nPMV to BHS: 16732\nJIC to CJJ: 2518\nJIC to CFB: 17327\nJIC to ISC: 8599\nJIC to CIX: 18769\nJIC to BHS: 9649\nBHS to CJJ: 8871\nBHS to CFB: 14559\nBHS to ISC: 17634\nBHS to CIX: 14606\nISC to CJJ: 9609\nISC to CFB: 9692\nISC to CIX: 11428\nCIX to CJJ: 17490\nCIX to CFB: 4581\nCFB to CJJ: 18354\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PGK, TJQ, ZAG, ARN, ORN, QBC, REL, BBN, PBU\n- Travel distances (in kilometers) between each pair of airports:\nPGK to TJQ: 190\nPGK to ARN: 10152\nPGK to ZAG: 10418\nPGK to QBC: 13900\nPGK to REL: 18981\nPGK to ORN: 11800\nPGK to BBN: 1931\nPGK to PBU: 3645\nTJQ to ARN: 10342\nTJQ to ZAG: 10608\nTJQ to QBC: 14090\nTJQ to REL: 18931\nTJQ to ORN: 11990\nTJQ to BBN: 2023\nTJQ to PBU: 3835\nZAG to ARN: 1551\nZAG to QBC: 9203\nZAG to REL: 12798\nZAG to ORN: 1898\nZAG to BBN: 10796\nZAG to PBU: 9156\nARN to QBC: 8300\nARN to REL: 13696\nARN to ORN: 2986\nARN to BBN: 10500\nARN to PBU: 9065\nORN to QBC: 9661\nORN to REL: 11045\nORN to BBN: 12334\nORN to PBU: 10673\nQBC to REL: 12648\nQBC to BBN: 12528\nQBC to PBU: 12449\nREL to BBN: 19706\nREL to PBU: 20421\nBBN to PBU: 3862\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54593,
"style": "rule"
}
|
{
"exact_answer": 54593,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PGK\", \"id\": 0}, {\"name\": \"TJQ\", \"id\": 1}, {\"name\": \"ZAG\", \"id\": 2}, {\"name\": \"ARN\", \"id\": 3}, {\"name\": \"ORN\", \"id\": 4}, {\"name\": \"QBC\", \"id\": 5}, {\"name\": \"REL\", \"id\": 6}, {\"name\": \"BBN\", \"id\": 7}, {\"name\": \"PBU\", \"id\": 8}], \"links\": [{\"weight\": 190, \"source\": 0, \"target\": 1}, {\"weight\": 10152, \"source\": 0, \"target\": 3}, {\"weight\": 10418, \"source\": 0, \"target\": 2}, {\"weight\": 13900, \"source\": 0, \"target\": 5}, {\"weight\": 18981, \"source\": 0, \"target\": 6}, {\"weight\": 11800, \"source\": 0, \"target\": 4}, {\"weight\": 1931, \"source\": 0, \"target\": 7}, {\"weight\": 3645, \"source\": 0, \"target\": 8}, {\"weight\": 10342, \"source\": 1, \"target\": 3}, {\"weight\": 10608, \"source\": 1, \"target\": 2}, {\"weight\": 14090, \"source\": 1, \"target\": 5}, {\"weight\": 18931, \"source\": 1, \"target\": 6}, {\"weight\": 11990, \"source\": 1, \"target\": 4}, {\"weight\": 2023, \"source\": 1, \"target\": 7}, {\"weight\": 3835, \"source\": 1, \"target\": 8}, {\"weight\": 1551, \"source\": 2, \"target\": 3}, {\"weight\": 9203, \"source\": 2, \"target\": 5}, {\"weight\": 12798, \"source\": 2, \"target\": 6}, {\"weight\": 1898, \"source\": 2, \"target\": 4}, {\"weight\": 10796, \"source\": 2, \"target\": 7}, {\"weight\": 9156, \"source\": 2, \"target\": 8}, {\"weight\": 8300, \"source\": 3, \"target\": 5}, {\"weight\": 13696, \"source\": 3, \"target\": 6}, {\"weight\": 2986, \"source\": 3, \"target\": 4}, {\"weight\": 10500, \"source\": 3, \"target\": 7}, {\"weight\": 9065, \"source\": 3, \"target\": 8}, {\"weight\": 9661, \"source\": 4, \"target\": 5}, {\"weight\": 11045, \"source\": 4, \"target\": 6}, {\"weight\": 12334, \"source\": 4, \"target\": 7}, {\"weight\": 10673, \"source\": 4, \"target\": 8}, {\"weight\": 12648, \"source\": 5, \"target\": 6}, {\"weight\": 12528, \"source\": 5, \"target\": 7}, {\"weight\": 12449, \"source\": 5, \"target\": 8}, {\"weight\": 19706, \"source\": 6, \"target\": 7}, {\"weight\": 20421, \"source\": 6, \"target\": 8}, {\"weight\": 3862, \"source\": 7, \"target\": 8}]}",
"id": 1603,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PGK, TJQ, ZAG, ARN, ORN, QBC, REL, BBN, PBU\n- Travel distances (in kilometers) between each pair of airports:\nPGK to TJQ: 190\nPGK to ARN: 10152\nPGK to ZAG: 10418\nPGK to QBC: 13900\nPGK to REL: 18981\nPGK to ORN: 11800\nPGK to BBN: 1931\nPGK to PBU: 3645\nTJQ to ARN: 10342\nTJQ to ZAG: 10608\nTJQ to QBC: 14090\nTJQ to REL: 18931\nTJQ to ORN: 11990\nTJQ to BBN: 2023\nTJQ to PBU: 3835\nZAG to ARN: 1551\nZAG to QBC: 9203\nZAG to REL: 12798\nZAG to ORN: 1898\nZAG to BBN: 10796\nZAG to PBU: 9156\nARN to QBC: 8300\nARN to REL: 13696\nARN to ORN: 2986\nARN to BBN: 10500\nARN to PBU: 9065\nORN to QBC: 9661\nORN to REL: 11045\nORN to BBN: 12334\nORN to PBU: 10673\nQBC to REL: 12648\nQBC to BBN: 12528\nQBC to PBU: 12449\nREL to BBN: 19706\nREL to PBU: 20421\nBBN to PBU: 3862\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOH, SBZ, NGO, VAW, YTL, SMI, WSZ, OAX, MXX\n- Travel distances (in kilometers) between each pair of airports:\nGOH to OAX: 9080\nGOH to NGO: 11604\nGOH to SMI: 5793\nGOH to SBZ: 5022\nGOH to WSZ: 19242\nGOH to MXX: 3779\nGOH to VAW: 4281\nGOH to YTL: 7184\nSBZ to OAX: 10979\nSBZ to NGO: 9262\nSBZ to SMI: 1186\nSBZ to WSZ: 18106\nSBZ to MXX: 2149\nSBZ to VAW: 3466\nSBZ to YTL: 9188\nNGO to OAX: 11959\nNGO to SMI: 9713\nNGO to WSZ: 9927\nNGO to MXX: 8395\nNGO to VAW: 9748\nNGO to YTL: 10299\nVAW to OAX: 10561\nVAW to SMI: 4209\nVAW to WSZ: 19237\nVAW to MXX: 1827\nVAW to YTL: 8665\nYTL to OAX: 4574\nYTL to SMI: 9950\nYTL to WSZ: 14548\nYTL to MXX: 8163\nSMI to OAX: 11659\nSMI to WSZ: 18036\nSMI to MXX: 2856\nWSZ to OAX: 14104\nWSZ to MXX: 18051\nOAX to MXX: 10032\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54945,
"style": "rule"
}
|
{
"exact_answer": 54945,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOH\", \"id\": 0}, {\"name\": \"SBZ\", \"id\": 1}, {\"name\": \"NGO\", \"id\": 2}, {\"name\": \"VAW\", \"id\": 3}, {\"name\": \"YTL\", \"id\": 4}, {\"name\": \"SMI\", \"id\": 5}, {\"name\": \"WSZ\", \"id\": 6}, {\"name\": \"OAX\", \"id\": 7}, {\"name\": \"MXX\", \"id\": 8}], \"links\": [{\"weight\": 9080, \"source\": 0, \"target\": 7}, {\"weight\": 11604, \"source\": 0, \"target\": 2}, {\"weight\": 5793, \"source\": 0, \"target\": 5}, {\"weight\": 5022, \"source\": 0, \"target\": 1}, {\"weight\": 19242, \"source\": 0, \"target\": 6}, {\"weight\": 3779, \"source\": 0, \"target\": 8}, {\"weight\": 4281, \"source\": 0, \"target\": 3}, {\"weight\": 7184, \"source\": 0, \"target\": 4}, {\"weight\": 10979, \"source\": 1, \"target\": 7}, {\"weight\": 9262, \"source\": 1, \"target\": 2}, {\"weight\": 1186, \"source\": 1, \"target\": 5}, {\"weight\": 18106, \"source\": 1, \"target\": 6}, {\"weight\": 2149, \"source\": 1, \"target\": 8}, {\"weight\": 3466, \"source\": 1, \"target\": 3}, {\"weight\": 9188, \"source\": 1, \"target\": 4}, {\"weight\": 11959, \"source\": 2, \"target\": 7}, {\"weight\": 9713, \"source\": 2, \"target\": 5}, {\"weight\": 9927, \"source\": 2, \"target\": 6}, {\"weight\": 8395, \"source\": 2, \"target\": 8}, {\"weight\": 9748, \"source\": 2, \"target\": 3}, {\"weight\": 10299, \"source\": 2, \"target\": 4}, {\"weight\": 10561, \"source\": 3, \"target\": 7}, {\"weight\": 4209, \"source\": 3, \"target\": 5}, {\"weight\": 19237, \"source\": 3, \"target\": 6}, {\"weight\": 1827, \"source\": 3, \"target\": 8}, {\"weight\": 8665, \"source\": 3, \"target\": 4}, {\"weight\": 4574, \"source\": 4, \"target\": 7}, {\"weight\": 9950, \"source\": 4, \"target\": 5}, {\"weight\": 14548, \"source\": 4, \"target\": 6}, {\"weight\": 8163, \"source\": 4, \"target\": 8}, {\"weight\": 11659, \"source\": 5, \"target\": 7}, {\"weight\": 18036, \"source\": 5, \"target\": 6}, {\"weight\": 2856, \"source\": 5, \"target\": 8}, {\"weight\": 14104, \"source\": 6, \"target\": 7}, {\"weight\": 18051, \"source\": 6, \"target\": 8}, {\"weight\": 10032, \"source\": 7, \"target\": 8}]}",
"id": 1604,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOH, SBZ, NGO, VAW, YTL, SMI, WSZ, OAX, MXX\n- Travel distances (in kilometers) between each pair of airports:\nGOH to OAX: 9080\nGOH to NGO: 11604\nGOH to SMI: 5793\nGOH to SBZ: 5022\nGOH to WSZ: 19242\nGOH to MXX: 3779\nGOH to VAW: 4281\nGOH to YTL: 7184\nSBZ to OAX: 10979\nSBZ to NGO: 9262\nSBZ to SMI: 1186\nSBZ to WSZ: 18106\nSBZ to MXX: 2149\nSBZ to VAW: 3466\nSBZ to YTL: 9188\nNGO to OAX: 11959\nNGO to SMI: 9713\nNGO to WSZ: 9927\nNGO to MXX: 8395\nNGO to VAW: 9748\nNGO to YTL: 10299\nVAW to OAX: 10561\nVAW to SMI: 4209\nVAW to WSZ: 19237\nVAW to MXX: 1827\nVAW to YTL: 8665\nYTL to OAX: 4574\nYTL to SMI: 9950\nYTL to WSZ: 14548\nYTL to MXX: 8163\nSMI to OAX: 11659\nSMI to WSZ: 18036\nSMI to MXX: 2856\nWSZ to OAX: 14104\nWSZ to MXX: 18051\nOAX to MXX: 10032\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGK, MOI, LSI, IXD, SFB, KYZ, AGF, MXX, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nCGK to AGF: 11966\nCGK to SRQ: 17466\nCGK to IXD: 5579\nCGK to LSI: 12011\nCGK to SFB: 17365\nCGK to MOI: 10768\nCGK to KYZ: 7285\nCGK to MXX: 10770\nMOI to AGF: 17448\nMOI to SRQ: 11640\nMOI to IXD: 16259\nMOI to LSI: 16699\nMOI to SFB: 11410\nMOI to KYZ: 14913\nMOI to MXX: 16899\nLSI to AGF: 1824\nLSI to SRQ: 7354\nLSI to IXD: 7634\nLSI to SFB: 7142\nLSI to KYZ: 7317\nLSI to MXX: 1738\nIXD to AGF: 7593\nIXD to SRQ: 14006\nIXD to SFB: 13817\nIXD to KYZ: 5555\nIXD to MXX: 6394\nSFB to AGF: 7857\nSFB to SRQ: 1648\nSFB to KYZ: 13510\nSFB to MXX: 8021\nKYZ to AGF: 7824\nKYZ to SRQ: 13708\nKYZ to MXX: 6053\nAGF to SRQ: 8033\nAGF to MXX: 2332\nMXX to SRQ: 8205\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52523,
"style": "rule"
}
|
{
"exact_answer": 52523,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGK\", \"id\": 0}, {\"name\": \"MOI\", \"id\": 1}, {\"name\": \"LSI\", \"id\": 2}, {\"name\": \"IXD\", \"id\": 3}, {\"name\": \"SFB\", \"id\": 4}, {\"name\": \"KYZ\", \"id\": 5}, {\"name\": \"AGF\", \"id\": 6}, {\"name\": \"MXX\", \"id\": 7}, {\"name\": \"SRQ\", \"id\": 8}], \"links\": [{\"weight\": 11966, \"source\": 0, \"target\": 6}, {\"weight\": 17466, \"source\": 0, \"target\": 8}, {\"weight\": 5579, \"source\": 0, \"target\": 3}, {\"weight\": 12011, \"source\": 0, \"target\": 2}, {\"weight\": 17365, \"source\": 0, \"target\": 4}, {\"weight\": 10768, \"source\": 0, \"target\": 1}, {\"weight\": 7285, \"source\": 0, \"target\": 5}, {\"weight\": 10770, \"source\": 0, \"target\": 7}, {\"weight\": 17448, \"source\": 1, \"target\": 6}, {\"weight\": 11640, \"source\": 1, \"target\": 8}, {\"weight\": 16259, \"source\": 1, \"target\": 3}, {\"weight\": 16699, \"source\": 1, \"target\": 2}, {\"weight\": 11410, \"source\": 1, \"target\": 4}, {\"weight\": 14913, \"source\": 1, \"target\": 5}, {\"weight\": 16899, \"source\": 1, \"target\": 7}, {\"weight\": 1824, \"source\": 2, \"target\": 6}, {\"weight\": 7354, \"source\": 2, \"target\": 8}, {\"weight\": 7634, \"source\": 2, \"target\": 3}, {\"weight\": 7142, \"source\": 2, \"target\": 4}, {\"weight\": 7317, \"source\": 2, \"target\": 5}, {\"weight\": 1738, \"source\": 2, \"target\": 7}, {\"weight\": 7593, \"source\": 3, \"target\": 6}, {\"weight\": 14006, \"source\": 3, \"target\": 8}, {\"weight\": 13817, \"source\": 3, \"target\": 4}, {\"weight\": 5555, \"source\": 3, \"target\": 5}, {\"weight\": 6394, \"source\": 3, \"target\": 7}, {\"weight\": 7857, \"source\": 4, \"target\": 6}, {\"weight\": 1648, \"source\": 4, \"target\": 8}, {\"weight\": 13510, \"source\": 4, \"target\": 5}, {\"weight\": 8021, \"source\": 4, \"target\": 7}, {\"weight\": 7824, \"source\": 5, \"target\": 6}, {\"weight\": 13708, \"source\": 5, \"target\": 8}, {\"weight\": 6053, \"source\": 5, \"target\": 7}, {\"weight\": 8033, \"source\": 6, \"target\": 8}, {\"weight\": 2332, \"source\": 6, \"target\": 7}, {\"weight\": 8205, \"source\": 7, \"target\": 8}]}",
"id": 1605,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGK, MOI, LSI, IXD, SFB, KYZ, AGF, MXX, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nCGK to AGF: 11966\nCGK to SRQ: 17466\nCGK to IXD: 5579\nCGK to LSI: 12011\nCGK to SFB: 17365\nCGK to MOI: 10768\nCGK to KYZ: 7285\nCGK to MXX: 10770\nMOI to AGF: 17448\nMOI to SRQ: 11640\nMOI to IXD: 16259\nMOI to LSI: 16699\nMOI to SFB: 11410\nMOI to KYZ: 14913\nMOI to MXX: 16899\nLSI to AGF: 1824\nLSI to SRQ: 7354\nLSI to IXD: 7634\nLSI to SFB: 7142\nLSI to KYZ: 7317\nLSI to MXX: 1738\nIXD to AGF: 7593\nIXD to SRQ: 14006\nIXD to SFB: 13817\nIXD to KYZ: 5555\nIXD to MXX: 6394\nSFB to AGF: 7857\nSFB to SRQ: 1648\nSFB to KYZ: 13510\nSFB to MXX: 8021\nKYZ to AGF: 7824\nKYZ to SRQ: 13708\nKYZ to MXX: 6053\nAGF to SRQ: 8033\nAGF to MXX: 2332\nMXX to SRQ: 8205\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPB, HUS, MHT, EDA, HAV, ATH, TGM, SVU, LEX\n- Travel distances (in kilometers) between each pair of airports:\nHPB to HAV: 7945\nHPB to ATH: 13221\nHPB to HUS: 1627\nHPB to LEX: 5971\nHPB to MHT: 6679\nHPB to TGM: 12758\nHPB to SVU: 10691\nHPB to EDA: 2313\nHUS to HAV: 7615\nHUS to ATH: 12798\nHUS to LEX: 5830\nHUS to MHT: 6538\nHUS to TGM: 12335\nHUS to SVU: 10550\nHUS to EDA: 2172\nMHT to HAV: 2654\nMHT to ATH: 8251\nMHT to LEX: 1283\nMHT to TGM: 7732\nMHT to SVU: 13272\nMHT to EDA: 5226\nEDA to HAV: 6059\nEDA to ATH: 11242\nEDA to LEX: 4511\nEDA to TGM: 10779\nEDA to SVU: 10870\nHAV to ATH: 9780\nHAV to LEX: 2183\nHAV to TGM: 9689\nHAV to SVU: 13033\nATH to LEX: 8908\nATH to TGM: 1006\nATH to SVU: 16835\nTGM to LEX: 8389\nTGM to SVU: 16687\nSVU to LEX: 12362\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49411,
"style": "rule"
}
|
{
"exact_answer": 49411,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HPB\", \"id\": 0}, {\"name\": \"HUS\", \"id\": 1}, {\"name\": \"MHT\", \"id\": 2}, {\"name\": \"EDA\", \"id\": 3}, {\"name\": \"HAV\", \"id\": 4}, {\"name\": \"ATH\", \"id\": 5}, {\"name\": \"TGM\", \"id\": 6}, {\"name\": \"SVU\", \"id\": 7}, {\"name\": \"LEX\", \"id\": 8}], \"links\": [{\"weight\": 7945, \"source\": 0, \"target\": 4}, {\"weight\": 13221, \"source\": 0, \"target\": 5}, {\"weight\": 1627, \"source\": 0, \"target\": 1}, {\"weight\": 5971, \"source\": 0, \"target\": 8}, {\"weight\": 6679, \"source\": 0, \"target\": 2}, {\"weight\": 12758, \"source\": 0, \"target\": 6}, {\"weight\": 10691, \"source\": 0, \"target\": 7}, {\"weight\": 2313, \"source\": 0, \"target\": 3}, {\"weight\": 7615, \"source\": 1, \"target\": 4}, {\"weight\": 12798, \"source\": 1, \"target\": 5}, {\"weight\": 5830, \"source\": 1, \"target\": 8}, {\"weight\": 6538, \"source\": 1, \"target\": 2}, {\"weight\": 12335, \"source\": 1, \"target\": 6}, {\"weight\": 10550, \"source\": 1, \"target\": 7}, {\"weight\": 2172, \"source\": 1, \"target\": 3}, {\"weight\": 2654, \"source\": 2, \"target\": 4}, {\"weight\": 8251, \"source\": 2, \"target\": 5}, {\"weight\": 1283, \"source\": 2, \"target\": 8}, {\"weight\": 7732, \"source\": 2, \"target\": 6}, {\"weight\": 13272, \"source\": 2, \"target\": 7}, {\"weight\": 5226, \"source\": 2, \"target\": 3}, {\"weight\": 6059, \"source\": 3, \"target\": 4}, {\"weight\": 11242, \"source\": 3, \"target\": 5}, {\"weight\": 4511, \"source\": 3, \"target\": 8}, {\"weight\": 10779, \"source\": 3, \"target\": 6}, {\"weight\": 10870, \"source\": 3, \"target\": 7}, {\"weight\": 9780, \"source\": 4, \"target\": 5}, {\"weight\": 2183, \"source\": 4, \"target\": 8}, {\"weight\": 9689, \"source\": 4, \"target\": 6}, {\"weight\": 13033, \"source\": 4, \"target\": 7}, {\"weight\": 8908, \"source\": 5, \"target\": 8}, {\"weight\": 1006, \"source\": 5, \"target\": 6}, {\"weight\": 16835, \"source\": 5, \"target\": 7}, {\"weight\": 8389, \"source\": 6, \"target\": 8}, {\"weight\": 16687, \"source\": 6, \"target\": 7}, {\"weight\": 12362, \"source\": 7, \"target\": 8}]}",
"id": 1606,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPB, HUS, MHT, EDA, HAV, ATH, TGM, SVU, LEX\n- Travel distances (in kilometers) between each pair of airports:\nHPB to HAV: 7945\nHPB to ATH: 13221\nHPB to HUS: 1627\nHPB to LEX: 5971\nHPB to MHT: 6679\nHPB to TGM: 12758\nHPB to SVU: 10691\nHPB to EDA: 2313\nHUS to HAV: 7615\nHUS to ATH: 12798\nHUS to LEX: 5830\nHUS to MHT: 6538\nHUS to TGM: 12335\nHUS to SVU: 10550\nHUS to EDA: 2172\nMHT to HAV: 2654\nMHT to ATH: 8251\nMHT to LEX: 1283\nMHT to TGM: 7732\nMHT to SVU: 13272\nMHT to EDA: 5226\nEDA to HAV: 6059\nEDA to ATH: 11242\nEDA to LEX: 4511\nEDA to TGM: 10779\nEDA to SVU: 10870\nHAV to ATH: 9780\nHAV to LEX: 2183\nHAV to TGM: 9689\nHAV to SVU: 13033\nATH to LEX: 8908\nATH to TGM: 1006\nATH to SVU: 16835\nTGM to LEX: 8389\nTGM to SVU: 16687\nSVU to LEX: 12362\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIN, JNG, GBB, GTF, MOL, HGR, LRM, GLV, TUU\n- Travel distances (in kilometers) between each pair of airports:\nPIN to GLV: 11546\nPIN to LRM: 3371\nPIN to GTF: 7992\nPIN to JNG: 17145\nPIN to MOL: 10373\nPIN to TUU: 12238\nPIN to HGR: 5723\nPIN to GBB: 13535\nJNG to GLV: 12316\nJNG to LRM: 14020\nJNG to GTF: 9966\nJNG to MOL: 7951\nJNG to TUU: 7873\nJNG to HGR: 11733\nJNG to GBB: 8092\nGBB to GLV: 14138\nGBB to LRM: 11478\nGBB to GTF: 11788\nGBB to MOL: 3819\nGBB to TUU: 5174\nGBB to HGR: 9738\nGTF to GLV: 3992\nGTF to LRM: 5146\nGTF to MOL: 8414\nGTF to TUU: 11934\nGTF to HGR: 2969\nMOL to GLV: 10764\nMOL to LRM: 8406\nMOL to TUU: 4572\nMOL to HGR: 6350\nHGR to GLV: 6434\nHGR to LRM: 2832\nHGR to TUU: 10011\nLRM to GLV: 8605\nLRM to TUU: 10514\nGLV to TUU: 14827\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52719,
"style": "rule"
}
|
{
"exact_answer": 52719,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PIN\", \"id\": 0}, {\"name\": \"JNG\", \"id\": 1}, {\"name\": \"GBB\", \"id\": 2}, {\"name\": \"GTF\", \"id\": 3}, {\"name\": \"MOL\", \"id\": 4}, {\"name\": \"HGR\", \"id\": 5}, {\"name\": \"LRM\", \"id\": 6}, {\"name\": \"GLV\", \"id\": 7}, {\"name\": \"TUU\", \"id\": 8}], \"links\": [{\"weight\": 11546, \"source\": 0, \"target\": 7}, {\"weight\": 3371, \"source\": 0, \"target\": 6}, {\"weight\": 7992, \"source\": 0, \"target\": 3}, {\"weight\": 17145, \"source\": 0, \"target\": 1}, {\"weight\": 10373, \"source\": 0, \"target\": 4}, {\"weight\": 12238, \"source\": 0, \"target\": 8}, {\"weight\": 5723, \"source\": 0, \"target\": 5}, {\"weight\": 13535, \"source\": 0, \"target\": 2}, {\"weight\": 12316, \"source\": 1, \"target\": 7}, {\"weight\": 14020, \"source\": 1, \"target\": 6}, {\"weight\": 9966, \"source\": 1, \"target\": 3}, {\"weight\": 7951, \"source\": 1, \"target\": 4}, {\"weight\": 7873, \"source\": 1, \"target\": 8}, {\"weight\": 11733, \"source\": 1, \"target\": 5}, {\"weight\": 8092, \"source\": 1, \"target\": 2}, {\"weight\": 14138, \"source\": 2, \"target\": 7}, {\"weight\": 11478, \"source\": 2, \"target\": 6}, {\"weight\": 11788, \"source\": 2, \"target\": 3}, {\"weight\": 3819, \"source\": 2, \"target\": 4}, {\"weight\": 5174, \"source\": 2, \"target\": 8}, {\"weight\": 9738, \"source\": 2, \"target\": 5}, {\"weight\": 3992, \"source\": 3, \"target\": 7}, {\"weight\": 5146, \"source\": 3, \"target\": 6}, {\"weight\": 8414, \"source\": 3, \"target\": 4}, {\"weight\": 11934, \"source\": 3, \"target\": 8}, {\"weight\": 2969, \"source\": 3, \"target\": 5}, {\"weight\": 10764, \"source\": 4, \"target\": 7}, {\"weight\": 8406, \"source\": 4, \"target\": 6}, {\"weight\": 4572, \"source\": 4, \"target\": 8}, {\"weight\": 6350, \"source\": 4, \"target\": 5}, {\"weight\": 6434, \"source\": 5, \"target\": 7}, {\"weight\": 2832, \"source\": 5, \"target\": 6}, {\"weight\": 10011, \"source\": 5, \"target\": 8}, {\"weight\": 8605, \"source\": 6, \"target\": 7}, {\"weight\": 10514, \"source\": 6, \"target\": 8}, {\"weight\": 14827, \"source\": 7, \"target\": 8}]}",
"id": 1607,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIN, JNG, GBB, GTF, MOL, HGR, LRM, GLV, TUU\n- Travel distances (in kilometers) between each pair of airports:\nPIN to GLV: 11546\nPIN to LRM: 3371\nPIN to GTF: 7992\nPIN to JNG: 17145\nPIN to MOL: 10373\nPIN to TUU: 12238\nPIN to HGR: 5723\nPIN to GBB: 13535\nJNG to GLV: 12316\nJNG to LRM: 14020\nJNG to GTF: 9966\nJNG to MOL: 7951\nJNG to TUU: 7873\nJNG to HGR: 11733\nJNG to GBB: 8092\nGBB to GLV: 14138\nGBB to LRM: 11478\nGBB to GTF: 11788\nGBB to MOL: 3819\nGBB to TUU: 5174\nGBB to HGR: 9738\nGTF to GLV: 3992\nGTF to LRM: 5146\nGTF to MOL: 8414\nGTF to TUU: 11934\nGTF to HGR: 2969\nMOL to GLV: 10764\nMOL to LRM: 8406\nMOL to TUU: 4572\nMOL to HGR: 6350\nHGR to GLV: 6434\nHGR to LRM: 2832\nHGR to TUU: 10011\nLRM to GLV: 8605\nLRM to TUU: 10514\nGLV to TUU: 14827\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GRU, MDE, HAA, TRV, ADK, NKM, TAS, VFA, TNK\n- Travel distances (in kilometers) between each pair of airports:\nGRU to TNK: 13823\nGRU to TRV: 14559\nGRU to MDE: 4550\nGRU to ADK: 14909\nGRU to TAS: 13902\nGRU to VFA: 8366\nGRU to NKM: 19118\nGRU to HAA: 11871\nMDE to TNK: 9475\nMDE to TRV: 16624\nMDE to ADK: 10561\nMDE to TAS: 13729\nMDE to VFA: 12916\nMDE to NKM: 14693\nMDE to HAA: 10557\nHAA to TNK: 11521\nHAA to TRV: 8617\nHAA to ADK: 12607\nHAA to TAS: 4964\nHAA to VFA: 10756\nHAA to NKM: 9587\nTRV to TNK: 17351\nTRV to ADK: 18437\nTRV to TAS: 3819\nTRV to VFA: 7970\nTRV to NKM: 7203\nADK to TNK: 2740\nADK to TAS: 16156\nADK to VFA: 20490\nADK to NKM: 12519\nNKM to TNK: 11433\nNKM to TAS: 6114\nNKM to VFA: 13834\nTAS to TNK: 15070\nTAS to VFA: 8237\nVFA to TNK: 19404\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63989,
"style": "rule"
}
|
{
"exact_answer": 63989,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GRU\", \"id\": 0}, {\"name\": \"MDE\", \"id\": 1}, {\"name\": \"HAA\", \"id\": 2}, {\"name\": \"TRV\", \"id\": 3}, {\"name\": \"ADK\", \"id\": 4}, {\"name\": \"NKM\", \"id\": 5}, {\"name\": \"TAS\", \"id\": 6}, {\"name\": \"VFA\", \"id\": 7}, {\"name\": \"TNK\", \"id\": 8}], \"links\": [{\"weight\": 13823, \"source\": 0, \"target\": 8}, {\"weight\": 14559, \"source\": 0, \"target\": 3}, {\"weight\": 4550, \"source\": 0, \"target\": 1}, {\"weight\": 14909, \"source\": 0, \"target\": 4}, {\"weight\": 13902, \"source\": 0, \"target\": 6}, {\"weight\": 8366, \"source\": 0, \"target\": 7}, {\"weight\": 19118, \"source\": 0, \"target\": 5}, {\"weight\": 11871, \"source\": 0, \"target\": 2}, {\"weight\": 9475, \"source\": 1, \"target\": 8}, {\"weight\": 16624, \"source\": 1, \"target\": 3}, {\"weight\": 10561, \"source\": 1, \"target\": 4}, {\"weight\": 13729, \"source\": 1, \"target\": 6}, {\"weight\": 12916, \"source\": 1, \"target\": 7}, {\"weight\": 14693, \"source\": 1, \"target\": 5}, {\"weight\": 10557, \"source\": 1, \"target\": 2}, {\"weight\": 11521, \"source\": 2, \"target\": 8}, {\"weight\": 8617, \"source\": 2, \"target\": 3}, {\"weight\": 12607, \"source\": 2, \"target\": 4}, {\"weight\": 4964, \"source\": 2, \"target\": 6}, {\"weight\": 10756, \"source\": 2, \"target\": 7}, {\"weight\": 9587, \"source\": 2, \"target\": 5}, {\"weight\": 17351, \"source\": 3, \"target\": 8}, {\"weight\": 18437, \"source\": 3, \"target\": 4}, {\"weight\": 3819, \"source\": 3, \"target\": 6}, {\"weight\": 7970, \"source\": 3, \"target\": 7}, {\"weight\": 7203, \"source\": 3, \"target\": 5}, {\"weight\": 2740, \"source\": 4, \"target\": 8}, {\"weight\": 16156, \"source\": 4, \"target\": 6}, {\"weight\": 20490, \"source\": 4, \"target\": 7}, {\"weight\": 12519, \"source\": 4, \"target\": 5}, {\"weight\": 11433, \"source\": 5, \"target\": 8}, {\"weight\": 6114, \"source\": 5, \"target\": 6}, {\"weight\": 13834, \"source\": 5, \"target\": 7}, {\"weight\": 15070, \"source\": 6, \"target\": 8}, {\"weight\": 8237, \"source\": 6, \"target\": 7}, {\"weight\": 19404, \"source\": 7, \"target\": 8}]}",
"id": 1608,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GRU, MDE, HAA, TRV, ADK, NKM, TAS, VFA, TNK\n- Travel distances (in kilometers) between each pair of airports:\nGRU to TNK: 13823\nGRU to TRV: 14559\nGRU to MDE: 4550\nGRU to ADK: 14909\nGRU to TAS: 13902\nGRU to VFA: 8366\nGRU to NKM: 19118\nGRU to HAA: 11871\nMDE to TNK: 9475\nMDE to TRV: 16624\nMDE to ADK: 10561\nMDE to TAS: 13729\nMDE to VFA: 12916\nMDE to NKM: 14693\nMDE to HAA: 10557\nHAA to TNK: 11521\nHAA to TRV: 8617\nHAA to ADK: 12607\nHAA to TAS: 4964\nHAA to VFA: 10756\nHAA to NKM: 9587\nTRV to TNK: 17351\nTRV to ADK: 18437\nTRV to TAS: 3819\nTRV to VFA: 7970\nTRV to NKM: 7203\nADK to TNK: 2740\nADK to TAS: 16156\nADK to VFA: 20490\nADK to NKM: 12519\nNKM to TNK: 11433\nNKM to TAS: 6114\nNKM to VFA: 13834\nTAS to TNK: 15070\nTAS to VFA: 8237\nVFA to TNK: 19404\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABJ, JFR, MEM, ADQ, AOS, JHW, ADK, BCD, PLU\n- Travel distances (in kilometers) between each pair of airports:\nABJ to ADQ: 14038\nABJ to AOS: 14123\nABJ to PLU: 7069\nABJ to BCD: 14075\nABJ to MEM: 9414\nABJ to ADK: 15545\nABJ to JFR: 8710\nABJ to JHW: 8851\nJFR to ADQ: 10206\nJFR to AOS: 10291\nJFR to PLU: 12439\nJFR to BCD: 13539\nJFR to MEM: 7146\nJFR to ADK: 11713\nJFR to JHW: 6374\nMEM to ADQ: 5576\nMEM to AOS: 5661\nMEM to PLU: 7988\nMEM to BCD: 14077\nMEM to ADK: 7083\nMEM to JHW: 1262\nADQ to AOS: 85\nADQ to PLU: 13432\nADQ to BCD: 13785\nADQ to ADK: 2319\nADQ to JHW: 5676\nAOS to PLU: 13517\nAOS to BCD: 13870\nAOS to ADK: 2404\nAOS to JHW: 5761\nJHW to PLU: 8504\nJHW to BCD: 14054\nJHW to ADK: 7183\nADK to PLU: 14939\nADK to BCD: 15292\nBCD to PLU: 19113\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62025,
"style": "rule"
}
|
{
"exact_answer": 62025,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ABJ\", \"id\": 0}, {\"name\": \"JFR\", \"id\": 1}, {\"name\": \"MEM\", \"id\": 2}, {\"name\": \"ADQ\", \"id\": 3}, {\"name\": \"AOS\", \"id\": 4}, {\"name\": \"JHW\", \"id\": 5}, {\"name\": \"ADK\", \"id\": 6}, {\"name\": \"BCD\", \"id\": 7}, {\"name\": \"PLU\", \"id\": 8}], \"links\": [{\"weight\": 14038, \"source\": 0, \"target\": 3}, {\"weight\": 14123, \"source\": 0, \"target\": 4}, {\"weight\": 7069, \"source\": 0, \"target\": 8}, {\"weight\": 14075, \"source\": 0, \"target\": 7}, {\"weight\": 9414, \"source\": 0, \"target\": 2}, {\"weight\": 15545, \"source\": 0, \"target\": 6}, {\"weight\": 8710, \"source\": 0, \"target\": 1}, {\"weight\": 8851, \"source\": 0, \"target\": 5}, {\"weight\": 10206, \"source\": 1, \"target\": 3}, {\"weight\": 10291, \"source\": 1, \"target\": 4}, {\"weight\": 12439, \"source\": 1, \"target\": 8}, {\"weight\": 13539, \"source\": 1, \"target\": 7}, {\"weight\": 7146, \"source\": 1, \"target\": 2}, {\"weight\": 11713, \"source\": 1, \"target\": 6}, {\"weight\": 6374, \"source\": 1, \"target\": 5}, {\"weight\": 5576, \"source\": 2, \"target\": 3}, {\"weight\": 5661, \"source\": 2, \"target\": 4}, {\"weight\": 7988, \"source\": 2, \"target\": 8}, {\"weight\": 14077, \"source\": 2, \"target\": 7}, {\"weight\": 7083, \"source\": 2, \"target\": 6}, {\"weight\": 1262, \"source\": 2, \"target\": 5}, {\"weight\": 85, \"source\": 3, \"target\": 4}, {\"weight\": 13432, \"source\": 3, \"target\": 8}, {\"weight\": 13785, \"source\": 3, \"target\": 7}, {\"weight\": 2319, \"source\": 3, \"target\": 6}, {\"weight\": 5676, \"source\": 3, \"target\": 5}, {\"weight\": 13517, \"source\": 4, \"target\": 8}, {\"weight\": 13870, \"source\": 4, \"target\": 7}, {\"weight\": 2404, \"source\": 4, \"target\": 6}, {\"weight\": 5761, \"source\": 4, \"target\": 5}, {\"weight\": 8504, \"source\": 5, \"target\": 8}, {\"weight\": 14054, \"source\": 5, \"target\": 7}, {\"weight\": 7183, \"source\": 5, \"target\": 6}, {\"weight\": 14939, \"source\": 6, \"target\": 8}, {\"weight\": 15292, \"source\": 6, \"target\": 7}, {\"weight\": 19113, \"source\": 7, \"target\": 8}]}",
"id": 1609,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABJ, JFR, MEM, ADQ, AOS, JHW, ADK, BCD, PLU\n- Travel distances (in kilometers) between each pair of airports:\nABJ to ADQ: 14038\nABJ to AOS: 14123\nABJ to PLU: 7069\nABJ to BCD: 14075\nABJ to MEM: 9414\nABJ to ADK: 15545\nABJ to JFR: 8710\nABJ to JHW: 8851\nJFR to ADQ: 10206\nJFR to AOS: 10291\nJFR to PLU: 12439\nJFR to BCD: 13539\nJFR to MEM: 7146\nJFR to ADK: 11713\nJFR to JHW: 6374\nMEM to ADQ: 5576\nMEM to AOS: 5661\nMEM to PLU: 7988\nMEM to BCD: 14077\nMEM to ADK: 7083\nMEM to JHW: 1262\nADQ to AOS: 85\nADQ to PLU: 13432\nADQ to BCD: 13785\nADQ to ADK: 2319\nADQ to JHW: 5676\nAOS to PLU: 13517\nAOS to BCD: 13870\nAOS to ADK: 2404\nAOS to JHW: 5761\nJHW to PLU: 8504\nJHW to BCD: 14054\nJHW to ADK: 7183\nADK to PLU: 14939\nADK to BCD: 15292\nBCD to PLU: 19113\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, LXA, KGS, BJI, HTA, TGH, BTH, BFV, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nTZA to HTA: 14459\nTZA to LXA: 15749\nTZA to KGS: 10968\nTZA to PAZ: 1448\nTZA to BFV: 16758\nTZA to BJI: 3464\nTZA to BTH: 17950\nTZA to TGH: 13465\nLXA to HTA: 3748\nLXA to KGS: 6594\nLXA to PAZ: 15271\nLXA to BFV: 2836\nLXA to BJI: 13739\nLXA to BTH: 4066\nLXA to TGH: 10279\nKGS to HTA: 6953\nKGS to PAZ: 11809\nKGS to BFV: 8449\nKGS to BJI: 9455\nKGS to BTH: 9284\nKGS to TGH: 16704\nBJI to HTA: 12344\nBJI to PAZ: 3413\nBJI to BFV: 14743\nBJI to BTH: 15618\nBJI to TGH: 12737\nHTA to PAZ: 13876\nHTA to BFV: 4967\nHTA to BTH: 6227\nHTA to TGH: 10339\nTGH to PAZ: 12661\nTGH to BFV: 9239\nTGH to BTH: 7944\nBTH to PAZ: 17146\nBTH to BFV: 1918\nBFV to PAZ: 16275\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50427,
"style": "rule"
}
|
{
"exact_answer": 50427,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TZA\", \"id\": 0}, {\"name\": \"LXA\", \"id\": 1}, {\"name\": \"KGS\", \"id\": 2}, {\"name\": \"BJI\", \"id\": 3}, {\"name\": \"HTA\", \"id\": 4}, {\"name\": \"TGH\", \"id\": 5}, {\"name\": \"BTH\", \"id\": 6}, {\"name\": \"BFV\", \"id\": 7}, {\"name\": \"PAZ\", \"id\": 8}], \"links\": [{\"weight\": 14459, \"source\": 0, \"target\": 4}, {\"weight\": 15749, \"source\": 0, \"target\": 1}, {\"weight\": 10968, \"source\": 0, \"target\": 2}, {\"weight\": 1448, \"source\": 0, \"target\": 8}, {\"weight\": 16758, \"source\": 0, \"target\": 7}, {\"weight\": 3464, \"source\": 0, \"target\": 3}, {\"weight\": 17950, \"source\": 0, \"target\": 6}, {\"weight\": 13465, \"source\": 0, \"target\": 5}, {\"weight\": 3748, \"source\": 1, \"target\": 4}, {\"weight\": 6594, \"source\": 1, \"target\": 2}, {\"weight\": 15271, \"source\": 1, \"target\": 8}, {\"weight\": 2836, \"source\": 1, \"target\": 7}, {\"weight\": 13739, \"source\": 1, \"target\": 3}, {\"weight\": 4066, \"source\": 1, \"target\": 6}, {\"weight\": 10279, \"source\": 1, \"target\": 5}, {\"weight\": 6953, \"source\": 2, \"target\": 4}, {\"weight\": 11809, \"source\": 2, \"target\": 8}, {\"weight\": 8449, \"source\": 2, \"target\": 7}, {\"weight\": 9455, \"source\": 2, \"target\": 3}, {\"weight\": 9284, \"source\": 2, \"target\": 6}, {\"weight\": 16704, \"source\": 2, \"target\": 5}, {\"weight\": 12344, \"source\": 3, \"target\": 4}, {\"weight\": 3413, \"source\": 3, \"target\": 8}, {\"weight\": 14743, \"source\": 3, \"target\": 7}, {\"weight\": 15618, \"source\": 3, \"target\": 6}, {\"weight\": 12737, \"source\": 3, \"target\": 5}, {\"weight\": 13876, \"source\": 4, \"target\": 8}, {\"weight\": 4967, \"source\": 4, \"target\": 7}, {\"weight\": 6227, \"source\": 4, \"target\": 6}, {\"weight\": 10339, \"source\": 4, \"target\": 5}, {\"weight\": 12661, \"source\": 5, \"target\": 8}, {\"weight\": 9239, \"source\": 5, \"target\": 7}, {\"weight\": 7944, \"source\": 5, \"target\": 6}, {\"weight\": 17146, \"source\": 6, \"target\": 8}, {\"weight\": 1918, \"source\": 6, \"target\": 7}, {\"weight\": 16275, \"source\": 7, \"target\": 8}]}",
"id": 1610,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, LXA, KGS, BJI, HTA, TGH, BTH, BFV, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nTZA to HTA: 14459\nTZA to LXA: 15749\nTZA to KGS: 10968\nTZA to PAZ: 1448\nTZA to BFV: 16758\nTZA to BJI: 3464\nTZA to BTH: 17950\nTZA to TGH: 13465\nLXA to HTA: 3748\nLXA to KGS: 6594\nLXA to PAZ: 15271\nLXA to BFV: 2836\nLXA to BJI: 13739\nLXA to BTH: 4066\nLXA to TGH: 10279\nKGS to HTA: 6953\nKGS to PAZ: 11809\nKGS to BFV: 8449\nKGS to BJI: 9455\nKGS to BTH: 9284\nKGS to TGH: 16704\nBJI to HTA: 12344\nBJI to PAZ: 3413\nBJI to BFV: 14743\nBJI to BTH: 15618\nBJI to TGH: 12737\nHTA to PAZ: 13876\nHTA to BFV: 4967\nHTA to BTH: 6227\nHTA to TGH: 10339\nTGH to PAZ: 12661\nTGH to BFV: 9239\nTGH to BTH: 7944\nBTH to PAZ: 17146\nBTH to BFV: 1918\nBFV to PAZ: 16275\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WJU, TIM, XKS, NTL, BRR, PIT, HME, BHJ, CBO\n- Travel distances (in kilometers) between each pair of airports:\nWJU to CBO: 3585\nWJU to BHJ: 6594\nWJU to PIT: 11869\nWJU to HME: 11163\nWJU to BRR: 10216\nWJU to TIM: 7016\nWJU to NTL: 8868\nWJU to XKS: 11715\nTIM to CBO: 5279\nTIM to BHJ: 8281\nTIM to PIT: 17929\nTIM to HME: 14970\nTIM to BRR: 15171\nTIM to NTL: 7206\nTIM to XKS: 17404\nXKS to CBO: 13904\nXKS to BHJ: 14736\nXKS to PIT: 1977\nXKS to HME: 9021\nXKS to BRR: 7127\nXKS to NTL: 15210\nNTL to CBO: 7292\nNTL to BHJ: 10921\nNTL to PIT: 15576\nNTL to HME: 17613\nNTL to BRR: 17649\nBRR to CBO: 12151\nBRR to BHJ: 8314\nBRR to PIT: 5864\nBRR to HME: 3045\nPIT to CBO: 14469\nPIT to BHJ: 13473\nPIT to HME: 7612\nHME to CBO: 12544\nHME to BHJ: 7904\nBHJ to CBO: 6676\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56664,
"style": "rule"
}
|
{
"exact_answer": 56664,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WJU\", \"id\": 0}, {\"name\": \"TIM\", \"id\": 1}, {\"name\": \"XKS\", \"id\": 2}, {\"name\": \"NTL\", \"id\": 3}, {\"name\": \"BRR\", \"id\": 4}, {\"name\": \"PIT\", \"id\": 5}, {\"name\": \"HME\", \"id\": 6}, {\"name\": \"BHJ\", \"id\": 7}, {\"name\": \"CBO\", \"id\": 8}], \"links\": [{\"weight\": 3585, \"source\": 0, \"target\": 8}, {\"weight\": 6594, \"source\": 0, \"target\": 7}, {\"weight\": 11869, \"source\": 0, \"target\": 5}, {\"weight\": 11163, \"source\": 0, \"target\": 6}, {\"weight\": 10216, \"source\": 0, \"target\": 4}, {\"weight\": 7016, \"source\": 0, \"target\": 1}, {\"weight\": 8868, \"source\": 0, \"target\": 3}, {\"weight\": 11715, \"source\": 0, \"target\": 2}, {\"weight\": 5279, \"source\": 1, \"target\": 8}, {\"weight\": 8281, \"source\": 1, \"target\": 7}, {\"weight\": 17929, \"source\": 1, \"target\": 5}, {\"weight\": 14970, \"source\": 1, \"target\": 6}, {\"weight\": 15171, \"source\": 1, \"target\": 4}, {\"weight\": 7206, \"source\": 1, \"target\": 3}, {\"weight\": 17404, \"source\": 1, \"target\": 2}, {\"weight\": 13904, \"source\": 2, \"target\": 8}, {\"weight\": 14736, \"source\": 2, \"target\": 7}, {\"weight\": 1977, \"source\": 2, \"target\": 5}, {\"weight\": 9021, \"source\": 2, \"target\": 6}, {\"weight\": 7127, \"source\": 2, \"target\": 4}, {\"weight\": 15210, \"source\": 2, \"target\": 3}, {\"weight\": 7292, \"source\": 3, \"target\": 8}, {\"weight\": 10921, \"source\": 3, \"target\": 7}, {\"weight\": 15576, \"source\": 3, \"target\": 5}, {\"weight\": 17613, \"source\": 3, \"target\": 6}, {\"weight\": 17649, \"source\": 3, \"target\": 4}, {\"weight\": 12151, \"source\": 4, \"target\": 8}, {\"weight\": 8314, \"source\": 4, \"target\": 7}, {\"weight\": 5864, \"source\": 4, \"target\": 5}, {\"weight\": 3045, \"source\": 4, \"target\": 6}, {\"weight\": 14469, \"source\": 5, \"target\": 8}, {\"weight\": 13473, \"source\": 5, \"target\": 7}, {\"weight\": 7612, \"source\": 5, \"target\": 6}, {\"weight\": 12544, \"source\": 6, \"target\": 8}, {\"weight\": 7904, \"source\": 6, \"target\": 7}, {\"weight\": 6676, \"source\": 7, \"target\": 8}]}",
"id": 1611,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WJU, TIM, XKS, NTL, BRR, PIT, HME, BHJ, CBO\n- Travel distances (in kilometers) between each pair of airports:\nWJU to CBO: 3585\nWJU to BHJ: 6594\nWJU to PIT: 11869\nWJU to HME: 11163\nWJU to BRR: 10216\nWJU to TIM: 7016\nWJU to NTL: 8868\nWJU to XKS: 11715\nTIM to CBO: 5279\nTIM to BHJ: 8281\nTIM to PIT: 17929\nTIM to HME: 14970\nTIM to BRR: 15171\nTIM to NTL: 7206\nTIM to XKS: 17404\nXKS to CBO: 13904\nXKS to BHJ: 14736\nXKS to PIT: 1977\nXKS to HME: 9021\nXKS to BRR: 7127\nXKS to NTL: 15210\nNTL to CBO: 7292\nNTL to BHJ: 10921\nNTL to PIT: 15576\nNTL to HME: 17613\nNTL to BRR: 17649\nBRR to CBO: 12151\nBRR to BHJ: 8314\nBRR to PIT: 5864\nBRR to HME: 3045\nPIT to CBO: 14469\nPIT to BHJ: 13473\nPIT to HME: 7612\nHME to CBO: 12544\nHME to BHJ: 7904\nBHJ to CBO: 6676\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, YCD, BNY, WLH, XFN, KEM, NYI, KSQ, KPV\n- Travel distances (in kilometers) between each pair of airports:\nVAA to KSQ: 4049\nVAA to YCD: 8353\nVAA to KEM: 954\nVAA to XFN: 7616\nVAA to KPV: 11511\nVAA to BNY: 14837\nVAA to WLH: 16001\nVAA to NYI: 6968\nYCD to KSQ: 11928\nYCD to KEM: 8833\nYCD to XFN: 9505\nYCD to KPV: 3385\nYCD to BNY: 11815\nYCD to WLH: 10798\nYCD to NYI: 12512\nBNY to KSQ: 11877\nBNY to KEM: 15097\nBNY to XFN: 7722\nBNY to KPV: 12688\nBNY to WLH: 1814\nBNY to NYI: 18812\nWLH to KSQ: 13269\nWLH to KEM: 16261\nWLH to XFN: 9114\nWLH to KPV: 11671\nWLH to NYI: 18773\nXFN to KSQ: 4834\nXFN to KEM: 7876\nXFN to KPV: 12769\nXFN to NYI: 12232\nKEM to KSQ: 4309\nKEM to KPV: 11991\nKEM to NYI: 7358\nNYI to KSQ: 8601\nNYI to KPV: 15027\nKSQ to KPV: 15086\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54169,
"style": "rule"
}
|
{
"exact_answer": 54169,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VAA\", \"id\": 0}, {\"name\": \"YCD\", \"id\": 1}, {\"name\": \"BNY\", \"id\": 2}, {\"name\": \"WLH\", \"id\": 3}, {\"name\": \"XFN\", \"id\": 4}, {\"name\": \"KEM\", \"id\": 5}, {\"name\": \"NYI\", \"id\": 6}, {\"name\": \"KSQ\", \"id\": 7}, {\"name\": \"KPV\", \"id\": 8}], \"links\": [{\"weight\": 4049, \"source\": 0, \"target\": 7}, {\"weight\": 8353, \"source\": 0, \"target\": 1}, {\"weight\": 954, \"source\": 0, \"target\": 5}, {\"weight\": 7616, \"source\": 0, \"target\": 4}, {\"weight\": 11511, \"source\": 0, \"target\": 8}, {\"weight\": 14837, \"source\": 0, \"target\": 2}, {\"weight\": 16001, \"source\": 0, \"target\": 3}, {\"weight\": 6968, \"source\": 0, \"target\": 6}, {\"weight\": 11928, \"source\": 1, \"target\": 7}, {\"weight\": 8833, \"source\": 1, \"target\": 5}, {\"weight\": 9505, \"source\": 1, \"target\": 4}, {\"weight\": 3385, \"source\": 1, \"target\": 8}, {\"weight\": 11815, \"source\": 1, \"target\": 2}, {\"weight\": 10798, \"source\": 1, \"target\": 3}, {\"weight\": 12512, \"source\": 1, \"target\": 6}, {\"weight\": 11877, \"source\": 2, \"target\": 7}, {\"weight\": 15097, \"source\": 2, \"target\": 5}, {\"weight\": 7722, \"source\": 2, \"target\": 4}, {\"weight\": 12688, \"source\": 2, \"target\": 8}, {\"weight\": 1814, \"source\": 2, \"target\": 3}, {\"weight\": 18812, \"source\": 2, \"target\": 6}, {\"weight\": 13269, \"source\": 3, \"target\": 7}, {\"weight\": 16261, \"source\": 3, \"target\": 5}, {\"weight\": 9114, \"source\": 3, \"target\": 4}, {\"weight\": 11671, \"source\": 3, \"target\": 8}, {\"weight\": 18773, \"source\": 3, \"target\": 6}, {\"weight\": 4834, \"source\": 4, \"target\": 7}, {\"weight\": 7876, \"source\": 4, \"target\": 5}, {\"weight\": 12769, \"source\": 4, \"target\": 8}, {\"weight\": 12232, \"source\": 4, \"target\": 6}, {\"weight\": 4309, \"source\": 5, \"target\": 7}, {\"weight\": 11991, \"source\": 5, \"target\": 8}, {\"weight\": 7358, \"source\": 5, \"target\": 6}, {\"weight\": 8601, \"source\": 6, \"target\": 7}, {\"weight\": 15027, \"source\": 6, \"target\": 8}, {\"weight\": 15086, \"source\": 7, \"target\": 8}]}",
"id": 1612,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, YCD, BNY, WLH, XFN, KEM, NYI, KSQ, KPV\n- Travel distances (in kilometers) between each pair of airports:\nVAA to KSQ: 4049\nVAA to YCD: 8353\nVAA to KEM: 954\nVAA to XFN: 7616\nVAA to KPV: 11511\nVAA to BNY: 14837\nVAA to WLH: 16001\nVAA to NYI: 6968\nYCD to KSQ: 11928\nYCD to KEM: 8833\nYCD to XFN: 9505\nYCD to KPV: 3385\nYCD to BNY: 11815\nYCD to WLH: 10798\nYCD to NYI: 12512\nBNY to KSQ: 11877\nBNY to KEM: 15097\nBNY to XFN: 7722\nBNY to KPV: 12688\nBNY to WLH: 1814\nBNY to NYI: 18812\nWLH to KSQ: 13269\nWLH to KEM: 16261\nWLH to XFN: 9114\nWLH to KPV: 11671\nWLH to NYI: 18773\nXFN to KSQ: 4834\nXFN to KEM: 7876\nXFN to KPV: 12769\nXFN to NYI: 12232\nKEM to KSQ: 4309\nKEM to KPV: 11991\nKEM to NYI: 7358\nNYI to KSQ: 8601\nNYI to KPV: 15027\nKSQ to KPV: 15086\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DJB, MFU, GZP, BRQ, UAK, MGQ, ATL, KOZ, MAM\n- Travel distances (in kilometers) between each pair of airports:\nDJB to KOZ: 16425\nDJB to MGQ: 8749\nDJB to ATL: 16723\nDJB to GZP: 9312\nDJB to MAM: 17966\nDJB to BRQ: 12450\nDJB to UAK: 13949\nDJB to MFU: 10692\nMFU to KOZ: 18828\nMFU to MGQ: 3254\nMFU to ATL: 13661\nMFU to GZP: 7357\nMFU to MAM: 15698\nMFU to BRQ: 9809\nMFU to UAK: 12198\nGZP to KOZ: 13305\nGZP to MGQ: 4863\nGZP to ATL: 9867\nGZP to MAM: 12732\nGZP to BRQ: 4278\nGZP to UAK: 6607\nBRQ to KOZ: 11645\nBRQ to MGQ: 8218\nBRQ to ATL: 7990\nBRQ to MAM: 10855\nBRQ to UAK: 4947\nUAK to KOZ: 10424\nUAK to MGQ: 10649\nUAK to ATL: 7215\nUAK to MAM: 10001\nMGQ to KOZ: 17347\nMGQ to ATL: 13731\nMGQ to MAM: 16594\nATL to KOZ: 5926\nATL to MAM: 2865\nKOZ to MAM: 7264\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61803,
"style": "rule"
}
|
{
"exact_answer": 61803,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DJB\", \"id\": 0}, {\"name\": \"MFU\", \"id\": 1}, {\"name\": \"GZP\", \"id\": 2}, {\"name\": \"BRQ\", \"id\": 3}, {\"name\": \"UAK\", \"id\": 4}, {\"name\": \"MGQ\", \"id\": 5}, {\"name\": \"ATL\", \"id\": 6}, {\"name\": \"KOZ\", \"id\": 7}, {\"name\": \"MAM\", \"id\": 8}], \"links\": [{\"weight\": 16425, \"source\": 0, \"target\": 7}, {\"weight\": 8749, \"source\": 0, \"target\": 5}, {\"weight\": 16723, \"source\": 0, \"target\": 6}, {\"weight\": 9312, \"source\": 0, \"target\": 2}, {\"weight\": 17966, \"source\": 0, \"target\": 8}, {\"weight\": 12450, \"source\": 0, \"target\": 3}, {\"weight\": 13949, \"source\": 0, \"target\": 4}, {\"weight\": 10692, \"source\": 0, \"target\": 1}, {\"weight\": 18828, \"source\": 1, \"target\": 7}, {\"weight\": 3254, \"source\": 1, \"target\": 5}, {\"weight\": 13661, \"source\": 1, \"target\": 6}, {\"weight\": 7357, \"source\": 1, \"target\": 2}, {\"weight\": 15698, \"source\": 1, \"target\": 8}, {\"weight\": 9809, \"source\": 1, \"target\": 3}, {\"weight\": 12198, \"source\": 1, \"target\": 4}, {\"weight\": 13305, \"source\": 2, \"target\": 7}, {\"weight\": 4863, \"source\": 2, \"target\": 5}, {\"weight\": 9867, \"source\": 2, \"target\": 6}, {\"weight\": 12732, \"source\": 2, \"target\": 8}, {\"weight\": 4278, \"source\": 2, \"target\": 3}, {\"weight\": 6607, \"source\": 2, \"target\": 4}, {\"weight\": 11645, \"source\": 3, \"target\": 7}, {\"weight\": 8218, \"source\": 3, \"target\": 5}, {\"weight\": 7990, \"source\": 3, \"target\": 6}, {\"weight\": 10855, \"source\": 3, \"target\": 8}, {\"weight\": 4947, \"source\": 3, \"target\": 4}, {\"weight\": 10424, \"source\": 4, \"target\": 7}, {\"weight\": 10649, \"source\": 4, \"target\": 5}, {\"weight\": 7215, \"source\": 4, \"target\": 6}, {\"weight\": 10001, \"source\": 4, \"target\": 8}, {\"weight\": 17347, \"source\": 5, \"target\": 7}, {\"weight\": 13731, \"source\": 5, \"target\": 6}, {\"weight\": 16594, \"source\": 5, \"target\": 8}, {\"weight\": 5926, \"source\": 6, \"target\": 7}, {\"weight\": 2865, \"source\": 6, \"target\": 8}, {\"weight\": 7264, \"source\": 7, \"target\": 8}]}",
"id": 1613,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DJB, MFU, GZP, BRQ, UAK, MGQ, ATL, KOZ, MAM\n- Travel distances (in kilometers) between each pair of airports:\nDJB to KOZ: 16425\nDJB to MGQ: 8749\nDJB to ATL: 16723\nDJB to GZP: 9312\nDJB to MAM: 17966\nDJB to BRQ: 12450\nDJB to UAK: 13949\nDJB to MFU: 10692\nMFU to KOZ: 18828\nMFU to MGQ: 3254\nMFU to ATL: 13661\nMFU to GZP: 7357\nMFU to MAM: 15698\nMFU to BRQ: 9809\nMFU to UAK: 12198\nGZP to KOZ: 13305\nGZP to MGQ: 4863\nGZP to ATL: 9867\nGZP to MAM: 12732\nGZP to BRQ: 4278\nGZP to UAK: 6607\nBRQ to KOZ: 11645\nBRQ to MGQ: 8218\nBRQ to ATL: 7990\nBRQ to MAM: 10855\nBRQ to UAK: 4947\nUAK to KOZ: 10424\nUAK to MGQ: 10649\nUAK to ATL: 7215\nUAK to MAM: 10001\nMGQ to KOZ: 17347\nMGQ to ATL: 13731\nMGQ to MAM: 16594\nATL to KOZ: 5926\nATL to MAM: 2865\nKOZ to MAM: 7264\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GEG, NWI, KUK, KUO, TAS, JIQ, MDK, PMR\n- Travel distances (in kilometers) between each pair of airports:\nKOV to JIQ: 4594\nKOV to KUK: 14241\nKOV to GEG: 11597\nKOV to KUO: 3318\nKOV to NWI: 4470\nKOV to TAS: 1914\nKOV to MDK: 9593\nKOV to PMR: 14894\nGEG to JIQ: 10409\nGEG to KUK: 3360\nGEG to KUO: 8947\nGEG to NWI: 8025\nGEG to TAS: 12276\nGEG to MDK: 14380\nGEG to PMR: 12098\nNWI to JIQ: 8628\nNWI to KUK: 10669\nNWI to KUO: 2094\nNWI to TAS: 5159\nNWI to MDK: 7215\nNWI to PMR: 18767\nKUK to JIQ: 13053\nKUK to KUO: 11591\nKUK to TAS: 14920\nKUK to MDK: 17214\nKUK to PMR: 12614\nKUO to JIQ: 7262\nKUO to TAS: 3997\nKUO to MDK: 8294\nKUO to PMR: 17373\nTAS to JIQ: 4032\nTAS to MDK: 8280\nTAS to PMR: 14189\nJIQ to MDK: 11231\nJIQ to PMR: 10492\nMDK to PMR: 16740\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59264,
"style": "rule"
}
|
{
"exact_answer": 59264,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KOV\", \"id\": 0}, {\"name\": \"GEG\", \"id\": 1}, {\"name\": \"NWI\", \"id\": 2}, {\"name\": \"KUK\", \"id\": 3}, {\"name\": \"KUO\", \"id\": 4}, {\"name\": \"TAS\", \"id\": 5}, {\"name\": \"JIQ\", \"id\": 6}, {\"name\": \"MDK\", \"id\": 7}, {\"name\": \"PMR\", \"id\": 8}], \"links\": [{\"weight\": 4594, \"source\": 0, \"target\": 6}, {\"weight\": 14241, \"source\": 0, \"target\": 3}, {\"weight\": 11597, \"source\": 0, \"target\": 1}, {\"weight\": 3318, \"source\": 0, \"target\": 4}, {\"weight\": 4470, \"source\": 0, \"target\": 2}, {\"weight\": 1914, \"source\": 0, \"target\": 5}, {\"weight\": 9593, \"source\": 0, \"target\": 7}, {\"weight\": 14894, \"source\": 0, \"target\": 8}, {\"weight\": 10409, \"source\": 1, \"target\": 6}, {\"weight\": 3360, \"source\": 1, \"target\": 3}, {\"weight\": 8947, \"source\": 1, \"target\": 4}, {\"weight\": 8025, \"source\": 1, \"target\": 2}, {\"weight\": 12276, \"source\": 1, \"target\": 5}, {\"weight\": 14380, \"source\": 1, \"target\": 7}, {\"weight\": 12098, \"source\": 1, \"target\": 8}, {\"weight\": 8628, \"source\": 2, \"target\": 6}, {\"weight\": 10669, \"source\": 2, \"target\": 3}, {\"weight\": 2094, \"source\": 2, \"target\": 4}, {\"weight\": 5159, \"source\": 2, \"target\": 5}, {\"weight\": 7215, \"source\": 2, \"target\": 7}, {\"weight\": 18767, \"source\": 2, \"target\": 8}, {\"weight\": 13053, \"source\": 3, \"target\": 6}, {\"weight\": 11591, \"source\": 3, \"target\": 4}, {\"weight\": 14920, \"source\": 3, \"target\": 5}, {\"weight\": 17214, \"source\": 3, \"target\": 7}, {\"weight\": 12614, \"source\": 3, \"target\": 8}, {\"weight\": 7262, \"source\": 4, \"target\": 6}, {\"weight\": 3997, \"source\": 4, \"target\": 5}, {\"weight\": 8294, \"source\": 4, \"target\": 7}, {\"weight\": 17373, \"source\": 4, \"target\": 8}, {\"weight\": 4032, \"source\": 5, \"target\": 6}, {\"weight\": 8280, \"source\": 5, \"target\": 7}, {\"weight\": 14189, \"source\": 5, \"target\": 8}, {\"weight\": 11231, \"source\": 6, \"target\": 7}, {\"weight\": 10492, \"source\": 6, \"target\": 8}, {\"weight\": 16740, \"source\": 7, \"target\": 8}]}",
"id": 1614,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GEG, NWI, KUK, KUO, TAS, JIQ, MDK, PMR\n- Travel distances (in kilometers) between each pair of airports:\nKOV to JIQ: 4594\nKOV to KUK: 14241\nKOV to GEG: 11597\nKOV to KUO: 3318\nKOV to NWI: 4470\nKOV to TAS: 1914\nKOV to MDK: 9593\nKOV to PMR: 14894\nGEG to JIQ: 10409\nGEG to KUK: 3360\nGEG to KUO: 8947\nGEG to NWI: 8025\nGEG to TAS: 12276\nGEG to MDK: 14380\nGEG to PMR: 12098\nNWI to JIQ: 8628\nNWI to KUK: 10669\nNWI to KUO: 2094\nNWI to TAS: 5159\nNWI to MDK: 7215\nNWI to PMR: 18767\nKUK to JIQ: 13053\nKUK to KUO: 11591\nKUK to TAS: 14920\nKUK to MDK: 17214\nKUK to PMR: 12614\nKUO to JIQ: 7262\nKUO to TAS: 3997\nKUO to MDK: 8294\nKUO to PMR: 17373\nTAS to JIQ: 4032\nTAS to MDK: 8280\nTAS to PMR: 14189\nJIQ to MDK: 11231\nJIQ to PMR: 10492\nMDK to PMR: 16740\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, AKL, ELG, GNU, LGW, YNG, SKT, DLG, KUS\n- Travel distances (in kilometers) between each pair of airports:\nPTH to LGW: 10757\nPTH to GNU: 1510\nPTH to AKL: 12248\nPTH to ELG: 13191\nPTH to DLG: 338\nPTH to SKT: 15766\nPTH to YNG: 7322\nPTH to KUS: 10924\nAKL to LGW: 18517\nAKL to GNU: 12386\nAKL to ELG: 20118\nAKL to DLG: 12089\nAKL to SKT: 13297\nAKL to YNG: 14975\nAKL to KUS: 19192\nELG to LGW: 2481\nELG to GNU: 13329\nELG to DLG: 13032\nELG to SKT: 7249\nELG to YNG: 9090\nELG to KUS: 6471\nGNU to LGW: 10895\nGNU to DLG: 1351\nGNU to SKT: 15904\nGNU to YNG: 7460\nGNU to KUS: 11062\nLGW to DLG: 10598\nLGW to SKT: 6329\nLGW to YNG: 7311\nLGW to KUS: 4037\nYNG to DLG: 7163\nYNG to SKT: 13135\nYNG to KUS: 8019\nSKT to DLG: 15607\nSKT to KUS: 9352\nDLG to KUS: 10765\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56480,
"style": "rule"
}
|
{
"exact_answer": 56480,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTH\", \"id\": 0}, {\"name\": \"AKL\", \"id\": 1}, {\"name\": \"ELG\", \"id\": 2}, {\"name\": \"GNU\", \"id\": 3}, {\"name\": \"LGW\", \"id\": 4}, {\"name\": \"YNG\", \"id\": 5}, {\"name\": \"SKT\", \"id\": 6}, {\"name\": \"DLG\", \"id\": 7}, {\"name\": \"KUS\", \"id\": 8}], \"links\": [{\"weight\": 10757, \"source\": 0, \"target\": 4}, {\"weight\": 1510, \"source\": 0, \"target\": 3}, {\"weight\": 12248, \"source\": 0, \"target\": 1}, {\"weight\": 13191, \"source\": 0, \"target\": 2}, {\"weight\": 338, \"source\": 0, \"target\": 7}, {\"weight\": 15766, \"source\": 0, \"target\": 6}, {\"weight\": 7322, \"source\": 0, \"target\": 5}, {\"weight\": 10924, \"source\": 0, \"target\": 8}, {\"weight\": 18517, \"source\": 1, \"target\": 4}, {\"weight\": 12386, \"source\": 1, \"target\": 3}, {\"weight\": 20118, \"source\": 1, \"target\": 2}, {\"weight\": 12089, \"source\": 1, \"target\": 7}, {\"weight\": 13297, \"source\": 1, \"target\": 6}, {\"weight\": 14975, \"source\": 1, \"target\": 5}, {\"weight\": 19192, \"source\": 1, \"target\": 8}, {\"weight\": 2481, \"source\": 2, \"target\": 4}, {\"weight\": 13329, \"source\": 2, \"target\": 3}, {\"weight\": 13032, \"source\": 2, \"target\": 7}, {\"weight\": 7249, \"source\": 2, \"target\": 6}, {\"weight\": 9090, \"source\": 2, \"target\": 5}, {\"weight\": 6471, \"source\": 2, \"target\": 8}, {\"weight\": 10895, \"source\": 3, \"target\": 4}, {\"weight\": 1351, \"source\": 3, \"target\": 7}, {\"weight\": 15904, \"source\": 3, \"target\": 6}, {\"weight\": 7460, \"source\": 3, \"target\": 5}, {\"weight\": 11062, \"source\": 3, \"target\": 8}, {\"weight\": 10598, \"source\": 4, \"target\": 7}, {\"weight\": 6329, \"source\": 4, \"target\": 6}, {\"weight\": 7311, \"source\": 4, \"target\": 5}, {\"weight\": 4037, \"source\": 4, \"target\": 8}, {\"weight\": 7163, \"source\": 5, \"target\": 7}, {\"weight\": 13135, \"source\": 5, \"target\": 6}, {\"weight\": 8019, \"source\": 5, \"target\": 8}, {\"weight\": 15607, \"source\": 6, \"target\": 7}, {\"weight\": 9352, \"source\": 6, \"target\": 8}, {\"weight\": 10765, \"source\": 7, \"target\": 8}]}",
"id": 1615,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, AKL, ELG, GNU, LGW, YNG, SKT, DLG, KUS\n- Travel distances (in kilometers) between each pair of airports:\nPTH to LGW: 10757\nPTH to GNU: 1510\nPTH to AKL: 12248\nPTH to ELG: 13191\nPTH to DLG: 338\nPTH to SKT: 15766\nPTH to YNG: 7322\nPTH to KUS: 10924\nAKL to LGW: 18517\nAKL to GNU: 12386\nAKL to ELG: 20118\nAKL to DLG: 12089\nAKL to SKT: 13297\nAKL to YNG: 14975\nAKL to KUS: 19192\nELG to LGW: 2481\nELG to GNU: 13329\nELG to DLG: 13032\nELG to SKT: 7249\nELG to YNG: 9090\nELG to KUS: 6471\nGNU to LGW: 10895\nGNU to DLG: 1351\nGNU to SKT: 15904\nGNU to YNG: 7460\nGNU to KUS: 11062\nLGW to DLG: 10598\nLGW to SKT: 6329\nLGW to YNG: 7311\nLGW to KUS: 4037\nYNG to DLG: 7163\nYNG to SKT: 13135\nYNG to KUS: 8019\nSKT to DLG: 15607\nSKT to KUS: 9352\nDLG to KUS: 10765\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NTQ, ABV, LDS, DBQ, IBR, KGI, KAO, CUE, MHH\n- Travel distances (in kilometers) between each pair of airports:\nNTQ to MHH: 12597\nNTQ to IBR: 956\nNTQ to DBQ: 10941\nNTQ to ABV: 13375\nNTQ to KAO: 9023\nNTQ to LDS: 2510\nNTQ to CUE: 14987\nNTQ to KGI: 8995\nABV to MHH: 10789\nABV to IBR: 13195\nABV to DBQ: 10276\nABV to KAO: 6765\nABV to LDS: 11817\nABV to CUE: 11497\nABV to KGI: 13321\nLDS to MHH: 13753\nLDS to IBR: 2424\nLDS to DBQ: 11965\nLDS to KAO: 7427\nLDS to CUE: 16545\nLDS to KGI: 9566\nDBQ to MHH: 2258\nDBQ to IBR: 11006\nDBQ to KAO: 8153\nDBQ to CUE: 5327\nDBQ to KGI: 17846\nIBR to MHH: 12765\nIBR to KAO: 8783\nIBR to CUE: 15309\nIBR to KGI: 8900\nKGI to MHH: 18678\nKGI to KAO: 14344\nKGI to CUE: 17887\nKAO to MHH: 9166\nKAO to CUE: 11955\nCUE to MHH: 3294\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58316,
"style": "rule"
}
|
{
"exact_answer": 58316,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NTQ\", \"id\": 0}, {\"name\": \"ABV\", \"id\": 1}, {\"name\": \"LDS\", \"id\": 2}, {\"name\": \"DBQ\", \"id\": 3}, {\"name\": \"IBR\", \"id\": 4}, {\"name\": \"KGI\", \"id\": 5}, {\"name\": \"KAO\", \"id\": 6}, {\"name\": \"CUE\", \"id\": 7}, {\"name\": \"MHH\", \"id\": 8}], \"links\": [{\"weight\": 12597, \"source\": 0, \"target\": 8}, {\"weight\": 956, \"source\": 0, \"target\": 4}, {\"weight\": 10941, \"source\": 0, \"target\": 3}, {\"weight\": 13375, \"source\": 0, \"target\": 1}, {\"weight\": 9023, \"source\": 0, \"target\": 6}, {\"weight\": 2510, \"source\": 0, \"target\": 2}, {\"weight\": 14987, \"source\": 0, \"target\": 7}, {\"weight\": 8995, \"source\": 0, \"target\": 5}, {\"weight\": 10789, \"source\": 1, \"target\": 8}, {\"weight\": 13195, \"source\": 1, \"target\": 4}, {\"weight\": 10276, \"source\": 1, \"target\": 3}, {\"weight\": 6765, \"source\": 1, \"target\": 6}, {\"weight\": 11817, \"source\": 1, \"target\": 2}, {\"weight\": 11497, \"source\": 1, \"target\": 7}, {\"weight\": 13321, \"source\": 1, \"target\": 5}, {\"weight\": 13753, \"source\": 2, \"target\": 8}, {\"weight\": 2424, \"source\": 2, \"target\": 4}, {\"weight\": 11965, \"source\": 2, \"target\": 3}, {\"weight\": 7427, \"source\": 2, \"target\": 6}, {\"weight\": 16545, \"source\": 2, \"target\": 7}, {\"weight\": 9566, \"source\": 2, \"target\": 5}, {\"weight\": 2258, \"source\": 3, \"target\": 8}, {\"weight\": 11006, \"source\": 3, \"target\": 4}, {\"weight\": 8153, \"source\": 3, \"target\": 6}, {\"weight\": 5327, \"source\": 3, \"target\": 7}, {\"weight\": 17846, \"source\": 3, \"target\": 5}, {\"weight\": 12765, \"source\": 4, \"target\": 8}, {\"weight\": 8783, \"source\": 4, \"target\": 6}, {\"weight\": 15309, \"source\": 4, \"target\": 7}, {\"weight\": 8900, \"source\": 4, \"target\": 5}, {\"weight\": 18678, \"source\": 5, \"target\": 8}, {\"weight\": 14344, \"source\": 5, \"target\": 6}, {\"weight\": 17887, \"source\": 5, \"target\": 7}, {\"weight\": 9166, \"source\": 6, \"target\": 8}, {\"weight\": 11955, \"source\": 6, \"target\": 7}, {\"weight\": 3294, \"source\": 7, \"target\": 8}]}",
"id": 1616,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NTQ, ABV, LDS, DBQ, IBR, KGI, KAO, CUE, MHH\n- Travel distances (in kilometers) between each pair of airports:\nNTQ to MHH: 12597\nNTQ to IBR: 956\nNTQ to DBQ: 10941\nNTQ to ABV: 13375\nNTQ to KAO: 9023\nNTQ to LDS: 2510\nNTQ to CUE: 14987\nNTQ to KGI: 8995\nABV to MHH: 10789\nABV to IBR: 13195\nABV to DBQ: 10276\nABV to KAO: 6765\nABV to LDS: 11817\nABV to CUE: 11497\nABV to KGI: 13321\nLDS to MHH: 13753\nLDS to IBR: 2424\nLDS to DBQ: 11965\nLDS to KAO: 7427\nLDS to CUE: 16545\nLDS to KGI: 9566\nDBQ to MHH: 2258\nDBQ to IBR: 11006\nDBQ to KAO: 8153\nDBQ to CUE: 5327\nDBQ to KGI: 17846\nIBR to MHH: 12765\nIBR to KAO: 8783\nIBR to CUE: 15309\nIBR to KGI: 8900\nKGI to MHH: 18678\nKGI to KAO: 14344\nKGI to CUE: 17887\nKAO to MHH: 9166\nKAO to CUE: 11955\nCUE to MHH: 3294\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ATY, SUF, BQS, SOQ, WLG, KLG, JUK, JKL, OAL\n- Travel distances (in kilometers) between each pair of airports:\nATY to SUF: 8649\nATY to KLG: 4903\nATY to JKL: 9460\nATY to OAL: 9252\nATY to WLG: 13224\nATY to SOQ: 16624\nATY to JUK: 7770\nATY to BQS: 11822\nSUF to KLG: 12449\nSUF to JKL: 1535\nSUF to OAL: 10909\nSUF to WLG: 18666\nSUF to SOQ: 13345\nSUF to JUK: 5816\nSUF to BQS: 8293\nBQS to KLG: 12493\nBQS to JKL: 7848\nBQS to OAL: 18423\nBQS to WLG: 11276\nBQS to SOQ: 7955\nBQS to JUK: 10985\nSOQ to KLG: 17262\nSOQ to JKL: 12261\nSOQ to OAL: 21237\nSOQ to WLG: 8847\nSOQ to JUK: 16910\nWLG to KLG: 12594\nWLG to JKL: 17565\nWLG to OAL: 14572\nWLG to JUK: 19773\nKLG to JKL: 13171\nKLG to OAL: 13537\nKLG to JUK: 10891\nJUK to JKL: 6305\nJUK to OAL: 14151\nJKL to OAL: 11791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 71619,
"style": "rule"
}
|
{
"exact_answer": 71619,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ATY\", \"id\": 0}, {\"name\": \"SUF\", \"id\": 1}, {\"name\": \"BQS\", \"id\": 2}, {\"name\": \"SOQ\", \"id\": 3}, {\"name\": \"WLG\", \"id\": 4}, {\"name\": \"KLG\", \"id\": 5}, {\"name\": \"JUK\", \"id\": 6}, {\"name\": \"JKL\", \"id\": 7}, {\"name\": \"OAL\", \"id\": 8}], \"links\": [{\"weight\": 8649, \"source\": 0, \"target\": 1}, {\"weight\": 4903, \"source\": 0, \"target\": 5}, {\"weight\": 9460, \"source\": 0, \"target\": 7}, {\"weight\": 9252, \"source\": 0, \"target\": 8}, {\"weight\": 13224, \"source\": 0, \"target\": 4}, {\"weight\": 16624, \"source\": 0, \"target\": 3}, {\"weight\": 7770, \"source\": 0, \"target\": 6}, {\"weight\": 11822, \"source\": 0, \"target\": 2}, {\"weight\": 12449, \"source\": 1, \"target\": 5}, {\"weight\": 1535, \"source\": 1, \"target\": 7}, {\"weight\": 10909, \"source\": 1, \"target\": 8}, {\"weight\": 18666, \"source\": 1, \"target\": 4}, {\"weight\": 13345, \"source\": 1, \"target\": 3}, {\"weight\": 5816, \"source\": 1, \"target\": 6}, {\"weight\": 8293, \"source\": 1, \"target\": 2}, {\"weight\": 12493, \"source\": 2, \"target\": 5}, {\"weight\": 7848, \"source\": 2, \"target\": 7}, {\"weight\": 18423, \"source\": 2, \"target\": 8}, {\"weight\": 11276, \"source\": 2, \"target\": 4}, {\"weight\": 7955, \"source\": 2, \"target\": 3}, {\"weight\": 10985, \"source\": 2, \"target\": 6}, {\"weight\": 17262, \"source\": 3, \"target\": 5}, {\"weight\": 12261, \"source\": 3, \"target\": 7}, {\"weight\": 21237, \"source\": 3, \"target\": 8}, {\"weight\": 8847, \"source\": 3, \"target\": 4}, {\"weight\": 16910, \"source\": 3, \"target\": 6}, {\"weight\": 12594, \"source\": 4, \"target\": 5}, {\"weight\": 17565, \"source\": 4, \"target\": 7}, {\"weight\": 14572, \"source\": 4, \"target\": 8}, {\"weight\": 19773, \"source\": 4, \"target\": 6}, {\"weight\": 13171, \"source\": 5, \"target\": 7}, {\"weight\": 13537, \"source\": 5, \"target\": 8}, {\"weight\": 10891, \"source\": 5, \"target\": 6}, {\"weight\": 6305, \"source\": 6, \"target\": 7}, {\"weight\": 14151, \"source\": 6, \"target\": 8}, {\"weight\": 11791, \"source\": 7, \"target\": 8}]}",
"id": 1617,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ATY, SUF, BQS, SOQ, WLG, KLG, JUK, JKL, OAL\n- Travel distances (in kilometers) between each pair of airports:\nATY to SUF: 8649\nATY to KLG: 4903\nATY to JKL: 9460\nATY to OAL: 9252\nATY to WLG: 13224\nATY to SOQ: 16624\nATY to JUK: 7770\nATY to BQS: 11822\nSUF to KLG: 12449\nSUF to JKL: 1535\nSUF to OAL: 10909\nSUF to WLG: 18666\nSUF to SOQ: 13345\nSUF to JUK: 5816\nSUF to BQS: 8293\nBQS to KLG: 12493\nBQS to JKL: 7848\nBQS to OAL: 18423\nBQS to WLG: 11276\nBQS to SOQ: 7955\nBQS to JUK: 10985\nSOQ to KLG: 17262\nSOQ to JKL: 12261\nSOQ to OAL: 21237\nSOQ to WLG: 8847\nSOQ to JUK: 16910\nWLG to KLG: 12594\nWLG to JKL: 17565\nWLG to OAL: 14572\nWLG to JUK: 19773\nKLG to JKL: 13171\nKLG to OAL: 13537\nKLG to JUK: 10891\nJUK to JKL: 6305\nJUK to OAL: 14151\nJKL to OAL: 11791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LLB, LIG, LYA, MJN, SUJ, GPS, BXU, GSP, CIH\n- Travel distances (in kilometers) between each pair of airports:\nLLB to BXU: 2638\nLLB to LYA: 1841\nLLB to GSP: 13922\nLLB to LIG: 10389\nLLB to SUJ: 9337\nLLB to CIH: 2005\nLLB to GPS: 19052\nLLB to MJN: 9511\nLIG to BXU: 11837\nLIG to LYA: 9260\nLIG to GSP: 7047\nLIG to SUJ: 2376\nLIG to CIH: 8924\nLIG to GPS: 11128\nLIG to MJN: 8352\nLYA to BXU: 3201\nLYA to GSP: 12165\nLYA to SUJ: 8418\nLYA to CIH: 1221\nLYA to GPS: 17381\nLYA to MJN: 9889\nMJN to BXU: 9718\nMJN to GSP: 14962\nMJN to SUJ: 7527\nMJN to CIH: 10192\nMJN to GPS: 15700\nSUJ to BXU: 10815\nSUJ to GSP: 9032\nSUJ to CIH: 7978\nSUJ to GPS: 13041\nGPS to BXU: 19155\nGPS to GSP: 5307\nGPS to CIH: 17204\nBXU to GSP: 14504\nBXU to CIH: 3327\nGSP to CIH: 11988\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53744,
"style": "rule"
}
|
{
"exact_answer": 53744,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LLB\", \"id\": 0}, {\"name\": \"LIG\", \"id\": 1}, {\"name\": \"LYA\", \"id\": 2}, {\"name\": \"MJN\", \"id\": 3}, {\"name\": \"SUJ\", \"id\": 4}, {\"name\": \"GPS\", \"id\": 5}, {\"name\": \"BXU\", \"id\": 6}, {\"name\": \"GSP\", \"id\": 7}, {\"name\": \"CIH\", \"id\": 8}], \"links\": [{\"weight\": 2638, \"source\": 0, \"target\": 6}, {\"weight\": 1841, \"source\": 0, \"target\": 2}, {\"weight\": 13922, \"source\": 0, \"target\": 7}, {\"weight\": 10389, \"source\": 0, \"target\": 1}, {\"weight\": 9337, \"source\": 0, \"target\": 4}, {\"weight\": 2005, \"source\": 0, \"target\": 8}, {\"weight\": 19052, \"source\": 0, \"target\": 5}, {\"weight\": 9511, \"source\": 0, \"target\": 3}, {\"weight\": 11837, \"source\": 1, \"target\": 6}, {\"weight\": 9260, \"source\": 1, \"target\": 2}, {\"weight\": 7047, \"source\": 1, \"target\": 7}, {\"weight\": 2376, \"source\": 1, \"target\": 4}, {\"weight\": 8924, \"source\": 1, \"target\": 8}, {\"weight\": 11128, \"source\": 1, \"target\": 5}, {\"weight\": 8352, \"source\": 1, \"target\": 3}, {\"weight\": 3201, \"source\": 2, \"target\": 6}, {\"weight\": 12165, \"source\": 2, \"target\": 7}, {\"weight\": 8418, \"source\": 2, \"target\": 4}, {\"weight\": 1221, \"source\": 2, \"target\": 8}, {\"weight\": 17381, \"source\": 2, \"target\": 5}, {\"weight\": 9889, \"source\": 2, \"target\": 3}, {\"weight\": 9718, \"source\": 3, \"target\": 6}, {\"weight\": 14962, \"source\": 3, \"target\": 7}, {\"weight\": 7527, \"source\": 3, \"target\": 4}, {\"weight\": 10192, \"source\": 3, \"target\": 8}, {\"weight\": 15700, \"source\": 3, \"target\": 5}, {\"weight\": 10815, \"source\": 4, \"target\": 6}, {\"weight\": 9032, \"source\": 4, \"target\": 7}, {\"weight\": 7978, \"source\": 4, \"target\": 8}, {\"weight\": 13041, \"source\": 4, \"target\": 5}, {\"weight\": 19155, \"source\": 5, \"target\": 6}, {\"weight\": 5307, \"source\": 5, \"target\": 7}, {\"weight\": 17204, \"source\": 5, \"target\": 8}, {\"weight\": 14504, \"source\": 6, \"target\": 7}, {\"weight\": 3327, \"source\": 6, \"target\": 8}, {\"weight\": 11988, \"source\": 7, \"target\": 8}]}",
"id": 1618,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LLB, LIG, LYA, MJN, SUJ, GPS, BXU, GSP, CIH\n- Travel distances (in kilometers) between each pair of airports:\nLLB to BXU: 2638\nLLB to LYA: 1841\nLLB to GSP: 13922\nLLB to LIG: 10389\nLLB to SUJ: 9337\nLLB to CIH: 2005\nLLB to GPS: 19052\nLLB to MJN: 9511\nLIG to BXU: 11837\nLIG to LYA: 9260\nLIG to GSP: 7047\nLIG to SUJ: 2376\nLIG to CIH: 8924\nLIG to GPS: 11128\nLIG to MJN: 8352\nLYA to BXU: 3201\nLYA to GSP: 12165\nLYA to SUJ: 8418\nLYA to CIH: 1221\nLYA to GPS: 17381\nLYA to MJN: 9889\nMJN to BXU: 9718\nMJN to GSP: 14962\nMJN to SUJ: 7527\nMJN to CIH: 10192\nMJN to GPS: 15700\nSUJ to BXU: 10815\nSUJ to GSP: 9032\nSUJ to CIH: 7978\nSUJ to GPS: 13041\nGPS to BXU: 19155\nGPS to GSP: 5307\nGPS to CIH: 17204\nBXU to GSP: 14504\nBXU to CIH: 3327\nGSP to CIH: 11988\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: QOQ, XUZ, SBH, MQL, HUN, BRR, PTU, ASW, NPE\n- Travel distances (in kilometers) between each pair of airports:\nQOQ to SBH: 8651\nQOQ to XUZ: 11542\nQOQ to PTU: 10912\nQOQ to HUN: 12513\nQOQ to BRR: 3512\nQOQ to ASW: 7943\nQOQ to NPE: 19359\nQOQ to MQL: 19343\nXUZ to SBH: 14570\nXUZ to PTU: 12352\nXUZ to HUN: 1271\nXUZ to BRR: 9467\nXUZ to ASW: 8464\nXUZ to NPE: 10479\nXUZ to MQL: 8377\nSBH to PTU: 8982\nSBH to HUN: 15408\nSBH to BRR: 7523\nSBH to ASW: 10664\nSBH to NPE: 16100\nSBH to MQL: 18296\nMQL to PTU: 14316\nMQL to HUN: 7244\nMQL to BRR: 17108\nMQL to ASW: 13736\nMQL to NPE: 3315\nHUN to PTU: 13083\nHUN to BRR: 10452\nHUN to ASW: 9048\nHUN to NPE: 9745\nBRR to PTU: 10542\nBRR to ASW: 4926\nBRR to NPE: 18989\nPTU to ASW: 14973\nPTU to NPE: 12725\nASW to NPE: 16674\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59090,
"style": "rule"
}
|
{
"exact_answer": 59090,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"QOQ\", \"id\": 0}, {\"name\": \"XUZ\", \"id\": 1}, {\"name\": \"SBH\", \"id\": 2}, {\"name\": \"MQL\", \"id\": 3}, {\"name\": \"HUN\", \"id\": 4}, {\"name\": \"BRR\", \"id\": 5}, {\"name\": \"PTU\", \"id\": 6}, {\"name\": \"ASW\", \"id\": 7}, {\"name\": \"NPE\", \"id\": 8}], \"links\": [{\"weight\": 8651, \"source\": 0, \"target\": 2}, {\"weight\": 11542, \"source\": 0, \"target\": 1}, {\"weight\": 10912, \"source\": 0, \"target\": 6}, {\"weight\": 12513, \"source\": 0, \"target\": 4}, {\"weight\": 3512, \"source\": 0, \"target\": 5}, {\"weight\": 7943, \"source\": 0, \"target\": 7}, {\"weight\": 19359, \"source\": 0, \"target\": 8}, {\"weight\": 19343, \"source\": 0, \"target\": 3}, {\"weight\": 14570, \"source\": 1, \"target\": 2}, {\"weight\": 12352, \"source\": 1, \"target\": 6}, {\"weight\": 1271, \"source\": 1, \"target\": 4}, {\"weight\": 9467, \"source\": 1, \"target\": 5}, {\"weight\": 8464, \"source\": 1, \"target\": 7}, {\"weight\": 10479, \"source\": 1, \"target\": 8}, {\"weight\": 8377, \"source\": 1, \"target\": 3}, {\"weight\": 8982, \"source\": 2, \"target\": 6}, {\"weight\": 15408, \"source\": 2, \"target\": 4}, {\"weight\": 7523, \"source\": 2, \"target\": 5}, {\"weight\": 10664, \"source\": 2, \"target\": 7}, {\"weight\": 16100, \"source\": 2, \"target\": 8}, {\"weight\": 18296, \"source\": 2, \"target\": 3}, {\"weight\": 14316, \"source\": 3, \"target\": 6}, {\"weight\": 7244, \"source\": 3, \"target\": 4}, {\"weight\": 17108, \"source\": 3, \"target\": 5}, {\"weight\": 13736, \"source\": 3, \"target\": 7}, {\"weight\": 3315, \"source\": 3, \"target\": 8}, {\"weight\": 13083, \"source\": 4, \"target\": 6}, {\"weight\": 10452, \"source\": 4, \"target\": 5}, {\"weight\": 9048, \"source\": 4, \"target\": 7}, {\"weight\": 9745, \"source\": 4, \"target\": 8}, {\"weight\": 10542, \"source\": 5, \"target\": 6}, {\"weight\": 4926, \"source\": 5, \"target\": 7}, {\"weight\": 18989, \"source\": 5, \"target\": 8}, {\"weight\": 14973, \"source\": 6, \"target\": 7}, {\"weight\": 12725, \"source\": 6, \"target\": 8}, {\"weight\": 16674, \"source\": 7, \"target\": 8}]}",
"id": 1619,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: QOQ, XUZ, SBH, MQL, HUN, BRR, PTU, ASW, NPE\n- Travel distances (in kilometers) between each pair of airports:\nQOQ to SBH: 8651\nQOQ to XUZ: 11542\nQOQ to PTU: 10912\nQOQ to HUN: 12513\nQOQ to BRR: 3512\nQOQ to ASW: 7943\nQOQ to NPE: 19359\nQOQ to MQL: 19343\nXUZ to SBH: 14570\nXUZ to PTU: 12352\nXUZ to HUN: 1271\nXUZ to BRR: 9467\nXUZ to ASW: 8464\nXUZ to NPE: 10479\nXUZ to MQL: 8377\nSBH to PTU: 8982\nSBH to HUN: 15408\nSBH to BRR: 7523\nSBH to ASW: 10664\nSBH to NPE: 16100\nSBH to MQL: 18296\nMQL to PTU: 14316\nMQL to HUN: 7244\nMQL to BRR: 17108\nMQL to ASW: 13736\nMQL to NPE: 3315\nHUN to PTU: 13083\nHUN to BRR: 10452\nHUN to ASW: 9048\nHUN to NPE: 9745\nBRR to PTU: 10542\nBRR to ASW: 4926\nBRR to NPE: 18989\nPTU to ASW: 14973\nPTU to NPE: 12725\nASW to NPE: 16674\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAY, PPN, ATT, TKU, DWD, KWT, NTG, RNO, ORI\n- Travel distances (in kilometers) between each pair of airports:\nCAY to TKU: 8905\nCAY to ORI: 10440\nCAY to NTG: 16289\nCAY to ATT: 10673\nCAY to KWT: 10669\nCAY to RNO: 7764\nCAY to PPN: 3139\nCAY to DWD: 11997\nPPN to TKU: 10491\nPPN to ORI: 9630\nPPN to NTG: 16211\nPPN to ATT: 9863\nPPN to KWT: 9859\nPPN to RNO: 6377\nPPN to DWD: 13376\nATT to TKU: 11201\nATT to ORI: 1095\nATT to NTG: 12281\nATT to KWT: 46\nATT to RNO: 3855\nATT to DWD: 15611\nTKU to ORI: 10968\nTKU to NTG: 7429\nTKU to KWT: 11197\nTKU to RNO: 9119\nTKU to DWD: 4843\nDWD to ORI: 15378\nDWD to NTG: 7501\nDWD to KWT: 15607\nDWD to RNO: 13529\nKWT to ORI: 1091\nKWT to NTG: 12277\nKWT to RNO: 3851\nNTG to ORI: 12048\nNTG to RNO: 10199\nRNO to ORI: 3622\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47805,
"style": "rule"
}
|
{
"exact_answer": 47805,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAY\", \"id\": 0}, {\"name\": \"PPN\", \"id\": 1}, {\"name\": \"ATT\", \"id\": 2}, {\"name\": \"TKU\", \"id\": 3}, {\"name\": \"DWD\", \"id\": 4}, {\"name\": \"KWT\", \"id\": 5}, {\"name\": \"NTG\", \"id\": 6}, {\"name\": \"RNO\", \"id\": 7}, {\"name\": \"ORI\", \"id\": 8}], \"links\": [{\"weight\": 8905, \"source\": 0, \"target\": 3}, {\"weight\": 10440, \"source\": 0, \"target\": 8}, {\"weight\": 16289, \"source\": 0, \"target\": 6}, {\"weight\": 10673, \"source\": 0, \"target\": 2}, {\"weight\": 10669, \"source\": 0, \"target\": 5}, {\"weight\": 7764, \"source\": 0, \"target\": 7}, {\"weight\": 3139, \"source\": 0, \"target\": 1}, {\"weight\": 11997, \"source\": 0, \"target\": 4}, {\"weight\": 10491, \"source\": 1, \"target\": 3}, {\"weight\": 9630, \"source\": 1, \"target\": 8}, {\"weight\": 16211, \"source\": 1, \"target\": 6}, {\"weight\": 9863, \"source\": 1, \"target\": 2}, {\"weight\": 9859, \"source\": 1, \"target\": 5}, {\"weight\": 6377, \"source\": 1, \"target\": 7}, {\"weight\": 13376, \"source\": 1, \"target\": 4}, {\"weight\": 11201, \"source\": 2, \"target\": 3}, {\"weight\": 1095, \"source\": 2, \"target\": 8}, {\"weight\": 12281, \"source\": 2, \"target\": 6}, {\"weight\": 46, \"source\": 2, \"target\": 5}, {\"weight\": 3855, \"source\": 2, \"target\": 7}, {\"weight\": 15611, \"source\": 2, \"target\": 4}, {\"weight\": 10968, \"source\": 3, \"target\": 8}, {\"weight\": 7429, \"source\": 3, \"target\": 6}, {\"weight\": 11197, \"source\": 3, \"target\": 5}, {\"weight\": 9119, \"source\": 3, \"target\": 7}, {\"weight\": 4843, \"source\": 3, \"target\": 4}, {\"weight\": 15378, \"source\": 4, \"target\": 8}, {\"weight\": 7501, \"source\": 4, \"target\": 6}, {\"weight\": 15607, \"source\": 4, \"target\": 5}, {\"weight\": 13529, \"source\": 4, \"target\": 7}, {\"weight\": 1091, \"source\": 5, \"target\": 8}, {\"weight\": 12277, \"source\": 5, \"target\": 6}, {\"weight\": 3851, \"source\": 5, \"target\": 7}, {\"weight\": 12048, \"source\": 6, \"target\": 8}, {\"weight\": 10199, \"source\": 6, \"target\": 7}, {\"weight\": 3622, \"source\": 7, \"target\": 8}]}",
"id": 1620,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAY, PPN, ATT, TKU, DWD, KWT, NTG, RNO, ORI\n- Travel distances (in kilometers) between each pair of airports:\nCAY to TKU: 8905\nCAY to ORI: 10440\nCAY to NTG: 16289\nCAY to ATT: 10673\nCAY to KWT: 10669\nCAY to RNO: 7764\nCAY to PPN: 3139\nCAY to DWD: 11997\nPPN to TKU: 10491\nPPN to ORI: 9630\nPPN to NTG: 16211\nPPN to ATT: 9863\nPPN to KWT: 9859\nPPN to RNO: 6377\nPPN to DWD: 13376\nATT to TKU: 11201\nATT to ORI: 1095\nATT to NTG: 12281\nATT to KWT: 46\nATT to RNO: 3855\nATT to DWD: 15611\nTKU to ORI: 10968\nTKU to NTG: 7429\nTKU to KWT: 11197\nTKU to RNO: 9119\nTKU to DWD: 4843\nDWD to ORI: 15378\nDWD to NTG: 7501\nDWD to KWT: 15607\nDWD to RNO: 13529\nKWT to ORI: 1091\nKWT to NTG: 12277\nKWT to RNO: 3851\nNTG to ORI: 12048\nNTG to RNO: 10199\nRNO to ORI: 3622\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BUF, PEI, ELS, MYW, MLB, TCR, ZSJ, KUF\n- Travel distances (in kilometers) between each pair of airports:\nKRF to KUF: 2457\nKRF to BUF: 7027\nKRF to MLB: 8321\nKRF to PEI: 10415\nKRF to ELS: 10808\nKRF to MYW: 8409\nKRF to TCR: 8237\nKRF to ZSJ: 8211\nBUF to KUF: 8646\nBUF to MLB: 1670\nBUF to PEI: 4393\nBUF to ELS: 14081\nBUF to MYW: 13593\nBUF to TCR: 14453\nBUF to ZSJ: 2140\nPEI to KUF: 11936\nPEI to MLB: 4114\nPEI to ELS: 12719\nPEI to MYW: 14687\nPEI to TCR: 17290\nPEI to ZSJ: 5986\nELS to KUF: 10024\nELS to MLB: 15063\nELS to MYW: 3602\nELS to TCR: 8308\nELS to ZSJ: 15708\nMYW to KUF: 7508\nMYW to MLB: 14771\nMYW to TCR: 7149\nMYW to ZSJ: 15101\nMLB to KUF: 9940\nMLB to TCR: 15680\nMLB to ZSJ: 3260\nTCR to KUF: 5812\nTCR to ZSJ: 15465\nZSJ to KUF: 9830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47874,
"style": "rule"
}
|
{
"exact_answer": 47874,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRF\", \"id\": 0}, {\"name\": \"BUF\", \"id\": 1}, {\"name\": \"PEI\", \"id\": 2}, {\"name\": \"ELS\", \"id\": 3}, {\"name\": \"MYW\", \"id\": 4}, {\"name\": \"MLB\", \"id\": 5}, {\"name\": \"TCR\", \"id\": 6}, {\"name\": \"ZSJ\", \"id\": 7}, {\"name\": \"KUF\", \"id\": 8}], \"links\": [{\"weight\": 2457, \"source\": 0, \"target\": 8}, {\"weight\": 7027, \"source\": 0, \"target\": 1}, {\"weight\": 8321, \"source\": 0, \"target\": 5}, {\"weight\": 10415, \"source\": 0, \"target\": 2}, {\"weight\": 10808, \"source\": 0, \"target\": 3}, {\"weight\": 8409, \"source\": 0, \"target\": 4}, {\"weight\": 8237, \"source\": 0, \"target\": 6}, {\"weight\": 8211, \"source\": 0, \"target\": 7}, {\"weight\": 8646, \"source\": 1, \"target\": 8}, {\"weight\": 1670, \"source\": 1, \"target\": 5}, {\"weight\": 4393, \"source\": 1, \"target\": 2}, {\"weight\": 14081, \"source\": 1, \"target\": 3}, {\"weight\": 13593, \"source\": 1, \"target\": 4}, {\"weight\": 14453, \"source\": 1, \"target\": 6}, {\"weight\": 2140, \"source\": 1, \"target\": 7}, {\"weight\": 11936, \"source\": 2, \"target\": 8}, {\"weight\": 4114, \"source\": 2, \"target\": 5}, {\"weight\": 12719, \"source\": 2, \"target\": 3}, {\"weight\": 14687, \"source\": 2, \"target\": 4}, {\"weight\": 17290, \"source\": 2, \"target\": 6}, {\"weight\": 5986, \"source\": 2, \"target\": 7}, {\"weight\": 10024, \"source\": 3, \"target\": 8}, {\"weight\": 15063, \"source\": 3, \"target\": 5}, {\"weight\": 3602, \"source\": 3, \"target\": 4}, {\"weight\": 8308, \"source\": 3, \"target\": 6}, {\"weight\": 15708, \"source\": 3, \"target\": 7}, {\"weight\": 7508, \"source\": 4, \"target\": 8}, {\"weight\": 14771, \"source\": 4, \"target\": 5}, {\"weight\": 7149, \"source\": 4, \"target\": 6}, {\"weight\": 15101, \"source\": 4, \"target\": 7}, {\"weight\": 9940, \"source\": 5, \"target\": 8}, {\"weight\": 15680, \"source\": 5, \"target\": 6}, {\"weight\": 3260, \"source\": 5, \"target\": 7}, {\"weight\": 5812, \"source\": 6, \"target\": 8}, {\"weight\": 15465, \"source\": 6, \"target\": 7}, {\"weight\": 9830, \"source\": 7, \"target\": 8}]}",
"id": 1621,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BUF, PEI, ELS, MYW, MLB, TCR, ZSJ, KUF\n- Travel distances (in kilometers) between each pair of airports:\nKRF to KUF: 2457\nKRF to BUF: 7027\nKRF to MLB: 8321\nKRF to PEI: 10415\nKRF to ELS: 10808\nKRF to MYW: 8409\nKRF to TCR: 8237\nKRF to ZSJ: 8211\nBUF to KUF: 8646\nBUF to MLB: 1670\nBUF to PEI: 4393\nBUF to ELS: 14081\nBUF to MYW: 13593\nBUF to TCR: 14453\nBUF to ZSJ: 2140\nPEI to KUF: 11936\nPEI to MLB: 4114\nPEI to ELS: 12719\nPEI to MYW: 14687\nPEI to TCR: 17290\nPEI to ZSJ: 5986\nELS to KUF: 10024\nELS to MLB: 15063\nELS to MYW: 3602\nELS to TCR: 8308\nELS to ZSJ: 15708\nMYW to KUF: 7508\nMYW to MLB: 14771\nMYW to TCR: 7149\nMYW to ZSJ: 15101\nMLB to KUF: 9940\nMLB to TCR: 15680\nMLB to ZSJ: 3260\nTCR to KUF: 5812\nTCR to ZSJ: 15465\nZSJ to KUF: 9830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, RCH, ROK, DIE, TAK, YOG, CAI, YZF, TXK\n- Travel distances (in kilometers) between each pair of airports:\nVDA to CAI: 6664\nVDA to YZF: 11627\nVDA to TAK: 13152\nVDA to TXK: 11687\nVDA to RCH: 12866\nVDA to ROK: 19502\nVDA to DIE: 11959\nVDA to YOG: 10889\nRCH to CAI: 12092\nRCH to YZF: 8312\nRCH to TAK: 15625\nRCH to TXK: 4993\nRCH to ROK: 17485\nRCH to DIE: 15421\nRCH to YOG: 6554\nROK to CAI: 14067\nROK to YZF: 14251\nROK to TAK: 7379\nROK to TXK: 14172\nROK to DIE: 11399\nROK to YOG: 15392\nDIE to CAI: 5545\nDIE to YZF: 16666\nDIE to TAK: 11501\nDIE to TXK: 16500\nDIE to YOG: 15825\nTAK to CAI: 9202\nTAK to YZF: 9812\nTAK to TXK: 11213\nTAK to YOG: 10847\nYOG to CAI: 10646\nYOG to YZF: 3310\nYOG to TXK: 3403\nCAI to YZF: 11245\nCAI to TXK: 11445\nYZF to TXK: 3931\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65371,
"style": "rule"
}
|
{
"exact_answer": 65371,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VDA\", \"id\": 0}, {\"name\": \"RCH\", \"id\": 1}, {\"name\": \"ROK\", \"id\": 2}, {\"name\": \"DIE\", \"id\": 3}, {\"name\": \"TAK\", \"id\": 4}, {\"name\": \"YOG\", \"id\": 5}, {\"name\": \"CAI\", \"id\": 6}, {\"name\": \"YZF\", \"id\": 7}, {\"name\": \"TXK\", \"id\": 8}], \"links\": [{\"weight\": 6664, \"source\": 0, \"target\": 6}, {\"weight\": 11627, \"source\": 0, \"target\": 7}, {\"weight\": 13152, \"source\": 0, \"target\": 4}, {\"weight\": 11687, \"source\": 0, \"target\": 8}, {\"weight\": 12866, \"source\": 0, \"target\": 1}, {\"weight\": 19502, \"source\": 0, \"target\": 2}, {\"weight\": 11959, \"source\": 0, \"target\": 3}, {\"weight\": 10889, \"source\": 0, \"target\": 5}, {\"weight\": 12092, \"source\": 1, \"target\": 6}, {\"weight\": 8312, \"source\": 1, \"target\": 7}, {\"weight\": 15625, \"source\": 1, \"target\": 4}, {\"weight\": 4993, \"source\": 1, \"target\": 8}, {\"weight\": 17485, \"source\": 1, \"target\": 2}, {\"weight\": 15421, \"source\": 1, \"target\": 3}, {\"weight\": 6554, \"source\": 1, \"target\": 5}, {\"weight\": 14067, \"source\": 2, \"target\": 6}, {\"weight\": 14251, \"source\": 2, \"target\": 7}, {\"weight\": 7379, \"source\": 2, \"target\": 4}, {\"weight\": 14172, \"source\": 2, \"target\": 8}, {\"weight\": 11399, \"source\": 2, \"target\": 3}, {\"weight\": 15392, \"source\": 2, \"target\": 5}, {\"weight\": 5545, \"source\": 3, \"target\": 6}, {\"weight\": 16666, \"source\": 3, \"target\": 7}, {\"weight\": 11501, \"source\": 3, \"target\": 4}, {\"weight\": 16500, \"source\": 3, \"target\": 8}, {\"weight\": 15825, \"source\": 3, \"target\": 5}, {\"weight\": 9202, \"source\": 4, \"target\": 6}, {\"weight\": 9812, \"source\": 4, \"target\": 7}, {\"weight\": 11213, \"source\": 4, \"target\": 8}, {\"weight\": 10847, \"source\": 4, \"target\": 5}, {\"weight\": 10646, \"source\": 5, \"target\": 6}, {\"weight\": 3310, \"source\": 5, \"target\": 7}, {\"weight\": 3403, \"source\": 5, \"target\": 8}, {\"weight\": 11245, \"source\": 6, \"target\": 7}, {\"weight\": 11445, \"source\": 6, \"target\": 8}, {\"weight\": 3931, \"source\": 7, \"target\": 8}]}",
"id": 1622,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, RCH, ROK, DIE, TAK, YOG, CAI, YZF, TXK\n- Travel distances (in kilometers) between each pair of airports:\nVDA to CAI: 6664\nVDA to YZF: 11627\nVDA to TAK: 13152\nVDA to TXK: 11687\nVDA to RCH: 12866\nVDA to ROK: 19502\nVDA to DIE: 11959\nVDA to YOG: 10889\nRCH to CAI: 12092\nRCH to YZF: 8312\nRCH to TAK: 15625\nRCH to TXK: 4993\nRCH to ROK: 17485\nRCH to DIE: 15421\nRCH to YOG: 6554\nROK to CAI: 14067\nROK to YZF: 14251\nROK to TAK: 7379\nROK to TXK: 14172\nROK to DIE: 11399\nROK to YOG: 15392\nDIE to CAI: 5545\nDIE to YZF: 16666\nDIE to TAK: 11501\nDIE to TXK: 16500\nDIE to YOG: 15825\nTAK to CAI: 9202\nTAK to YZF: 9812\nTAK to TXK: 11213\nTAK to YOG: 10847\nYOG to CAI: 10646\nYOG to YZF: 3310\nYOG to TXK: 3403\nCAI to YZF: 11245\nCAI to TXK: 11445\nYZF to TXK: 3931\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MDQ, RFP, YQY, CIY, TAE, YWL, ULV, GRW\n- Travel distances (in kilometers) between each pair of airports:\nGLT to ULV: 13183\nGLT to YWL: 12680\nGLT to MDQ: 13910\nGLT to YQY: 17013\nGLT to CIY: 16479\nGLT to TAE: 7724\nGLT to GRW: 18926\nGLT to RFP: 6733\nMDQ to ULV: 14571\nMDQ to YWL: 12080\nMDQ to YQY: 10120\nMDQ to CIY: 12212\nMDQ to TAE: 20153\nMDQ to GRW: 10511\nMDQ to RFP: 9746\nRFP to ULV: 16622\nRFP to YWL: 8909\nRFP to YQY: 11883\nRFP to CIY: 17597\nRFP to TAE: 11181\nRFP to GRW: 15088\nYQY to ULV: 8136\nYQY to YWL: 5076\nYQY to CIY: 6898\nYQY to TAE: 12442\nYQY to GRW: 5067\nCIY to ULV: 3684\nCIY to YWL: 9917\nCIY to TAE: 9789\nCIY to GRW: 4006\nTAE to ULV: 6314\nTAE to YWL: 8804\nTAE to GRW: 11858\nYWL to ULV: 10156\nYWL to GRW: 8453\nULV to GRW: 5995\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60430,
"style": "rule"
}
|
{
"exact_answer": 60430,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GLT\", \"id\": 0}, {\"name\": \"MDQ\", \"id\": 1}, {\"name\": \"RFP\", \"id\": 2}, {\"name\": \"YQY\", \"id\": 3}, {\"name\": \"CIY\", \"id\": 4}, {\"name\": \"TAE\", \"id\": 5}, {\"name\": \"YWL\", \"id\": 6}, {\"name\": \"ULV\", \"id\": 7}, {\"name\": \"GRW\", \"id\": 8}], \"links\": [{\"weight\": 13183, \"source\": 0, \"target\": 7}, {\"weight\": 12680, \"source\": 0, \"target\": 6}, {\"weight\": 13910, \"source\": 0, \"target\": 1}, {\"weight\": 17013, \"source\": 0, \"target\": 3}, {\"weight\": 16479, \"source\": 0, \"target\": 4}, {\"weight\": 7724, \"source\": 0, \"target\": 5}, {\"weight\": 18926, \"source\": 0, \"target\": 8}, {\"weight\": 6733, \"source\": 0, \"target\": 2}, {\"weight\": 14571, \"source\": 1, \"target\": 7}, {\"weight\": 12080, \"source\": 1, \"target\": 6}, {\"weight\": 10120, \"source\": 1, \"target\": 3}, {\"weight\": 12212, \"source\": 1, \"target\": 4}, {\"weight\": 20153, \"source\": 1, \"target\": 5}, {\"weight\": 10511, \"source\": 1, \"target\": 8}, {\"weight\": 9746, \"source\": 1, \"target\": 2}, {\"weight\": 16622, \"source\": 2, \"target\": 7}, {\"weight\": 8909, \"source\": 2, \"target\": 6}, {\"weight\": 11883, \"source\": 2, \"target\": 3}, {\"weight\": 17597, \"source\": 2, \"target\": 4}, {\"weight\": 11181, \"source\": 2, \"target\": 5}, {\"weight\": 15088, \"source\": 2, \"target\": 8}, {\"weight\": 8136, \"source\": 3, \"target\": 7}, {\"weight\": 5076, \"source\": 3, \"target\": 6}, {\"weight\": 6898, \"source\": 3, \"target\": 4}, {\"weight\": 12442, \"source\": 3, \"target\": 5}, {\"weight\": 5067, \"source\": 3, \"target\": 8}, {\"weight\": 3684, \"source\": 4, \"target\": 7}, {\"weight\": 9917, \"source\": 4, \"target\": 6}, {\"weight\": 9789, \"source\": 4, \"target\": 5}, {\"weight\": 4006, \"source\": 4, \"target\": 8}, {\"weight\": 6314, \"source\": 5, \"target\": 7}, {\"weight\": 8804, \"source\": 5, \"target\": 6}, {\"weight\": 11858, \"source\": 5, \"target\": 8}, {\"weight\": 10156, \"source\": 6, \"target\": 7}, {\"weight\": 8453, \"source\": 6, \"target\": 8}, {\"weight\": 5995, \"source\": 7, \"target\": 8}]}",
"id": 1623,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MDQ, RFP, YQY, CIY, TAE, YWL, ULV, GRW\n- Travel distances (in kilometers) between each pair of airports:\nGLT to ULV: 13183\nGLT to YWL: 12680\nGLT to MDQ: 13910\nGLT to YQY: 17013\nGLT to CIY: 16479\nGLT to TAE: 7724\nGLT to GRW: 18926\nGLT to RFP: 6733\nMDQ to ULV: 14571\nMDQ to YWL: 12080\nMDQ to YQY: 10120\nMDQ to CIY: 12212\nMDQ to TAE: 20153\nMDQ to GRW: 10511\nMDQ to RFP: 9746\nRFP to ULV: 16622\nRFP to YWL: 8909\nRFP to YQY: 11883\nRFP to CIY: 17597\nRFP to TAE: 11181\nRFP to GRW: 15088\nYQY to ULV: 8136\nYQY to YWL: 5076\nYQY to CIY: 6898\nYQY to TAE: 12442\nYQY to GRW: 5067\nCIY to ULV: 3684\nCIY to YWL: 9917\nCIY to TAE: 9789\nCIY to GRW: 4006\nTAE to ULV: 6314\nTAE to YWL: 8804\nTAE to GRW: 11858\nYWL to ULV: 10156\nYWL to GRW: 8453\nULV to GRW: 5995\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NUS, AQJ, PRH, DAC, CYX, AKU, DHM, ZTB, YYB\n- Travel distances (in kilometers) between each pair of airports:\nNUS to DAC: 10365\nNUS to YYB: 13853\nNUS to DHM: 12105\nNUS to AKU: 11734\nNUS to PRH: 9502\nNUS to CYX: 12345\nNUS to AQJ: 15895\nNUS to ZTB: 15300\nAQJ to DAC: 5622\nAQJ to YYB: 9875\nAQJ to DHM: 4606\nAQJ to AKU: 5619\nAQJ to PRH: 7590\nAQJ to CYX: 9185\nAQJ to ZTB: 8349\nPRH to DAC: 2029\nPRH to YYB: 14644\nPRH to DHM: 3800\nPRH to AKU: 4782\nPRH to CYX: 7999\nPRH to ZTB: 14503\nDAC to YYB: 13388\nDAC to DHM: 1832\nDAC to AKU: 4314\nDAC to CYX: 7584\nDAC to ZTB: 12474\nCYX to YYB: 13664\nCYX to DHM: 7795\nCYX to AKU: 6325\nCYX to ZTB: 13025\nAKU to YYB: 12150\nAKU to DHM: 3434\nAKU to ZTB: 11353\nDHM to YYB: 12372\nDHM to ZTB: 11599\nZTB to YYB: 2066\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56187,
"style": "rule"
}
|
{
"exact_answer": 56187,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NUS\", \"id\": 0}, {\"name\": \"AQJ\", \"id\": 1}, {\"name\": \"PRH\", \"id\": 2}, {\"name\": \"DAC\", \"id\": 3}, {\"name\": \"CYX\", \"id\": 4}, {\"name\": \"AKU\", \"id\": 5}, {\"name\": \"DHM\", \"id\": 6}, {\"name\": \"ZTB\", \"id\": 7}, {\"name\": \"YYB\", \"id\": 8}], \"links\": [{\"weight\": 10365, \"source\": 0, \"target\": 3}, {\"weight\": 13853, \"source\": 0, \"target\": 8}, {\"weight\": 12105, \"source\": 0, \"target\": 6}, {\"weight\": 11734, \"source\": 0, \"target\": 5}, {\"weight\": 9502, \"source\": 0, \"target\": 2}, {\"weight\": 12345, \"source\": 0, \"target\": 4}, {\"weight\": 15895, \"source\": 0, \"target\": 1}, {\"weight\": 15300, \"source\": 0, \"target\": 7}, {\"weight\": 5622, \"source\": 1, \"target\": 3}, {\"weight\": 9875, \"source\": 1, \"target\": 8}, {\"weight\": 4606, \"source\": 1, \"target\": 6}, {\"weight\": 5619, \"source\": 1, \"target\": 5}, {\"weight\": 7590, \"source\": 1, \"target\": 2}, {\"weight\": 9185, \"source\": 1, \"target\": 4}, {\"weight\": 8349, \"source\": 1, \"target\": 7}, {\"weight\": 2029, \"source\": 2, \"target\": 3}, {\"weight\": 14644, \"source\": 2, \"target\": 8}, {\"weight\": 3800, \"source\": 2, \"target\": 6}, {\"weight\": 4782, \"source\": 2, \"target\": 5}, {\"weight\": 7999, \"source\": 2, \"target\": 4}, {\"weight\": 14503, \"source\": 2, \"target\": 7}, {\"weight\": 13388, \"source\": 3, \"target\": 8}, {\"weight\": 1832, \"source\": 3, \"target\": 6}, {\"weight\": 4314, \"source\": 3, \"target\": 5}, {\"weight\": 7584, \"source\": 3, \"target\": 4}, {\"weight\": 12474, \"source\": 3, \"target\": 7}, {\"weight\": 13664, \"source\": 4, \"target\": 8}, {\"weight\": 7795, \"source\": 4, \"target\": 6}, {\"weight\": 6325, \"source\": 4, \"target\": 5}, {\"weight\": 13025, \"source\": 4, \"target\": 7}, {\"weight\": 12150, \"source\": 5, \"target\": 8}, {\"weight\": 3434, \"source\": 5, \"target\": 6}, {\"weight\": 11353, \"source\": 5, \"target\": 7}, {\"weight\": 12372, \"source\": 6, \"target\": 8}, {\"weight\": 11599, \"source\": 6, \"target\": 7}, {\"weight\": 2066, \"source\": 7, \"target\": 8}]}",
"id": 1624,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NUS, AQJ, PRH, DAC, CYX, AKU, DHM, ZTB, YYB\n- Travel distances (in kilometers) between each pair of airports:\nNUS to DAC: 10365\nNUS to YYB: 13853\nNUS to DHM: 12105\nNUS to AKU: 11734\nNUS to PRH: 9502\nNUS to CYX: 12345\nNUS to AQJ: 15895\nNUS to ZTB: 15300\nAQJ to DAC: 5622\nAQJ to YYB: 9875\nAQJ to DHM: 4606\nAQJ to AKU: 5619\nAQJ to PRH: 7590\nAQJ to CYX: 9185\nAQJ to ZTB: 8349\nPRH to DAC: 2029\nPRH to YYB: 14644\nPRH to DHM: 3800\nPRH to AKU: 4782\nPRH to CYX: 7999\nPRH to ZTB: 14503\nDAC to YYB: 13388\nDAC to DHM: 1832\nDAC to AKU: 4314\nDAC to CYX: 7584\nDAC to ZTB: 12474\nCYX to YYB: 13664\nCYX to DHM: 7795\nCYX to AKU: 6325\nCYX to ZTB: 13025\nAKU to YYB: 12150\nAKU to DHM: 3434\nAKU to ZTB: 11353\nDHM to YYB: 12372\nDHM to ZTB: 11599\nZTB to YYB: 2066\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNS, ASF, SML, URJ, TVU, EPR, LLU, CCJ, ICT\n- Travel distances (in kilometers) between each pair of airports:\nPNS to ASF: 10397\nPNS to URJ: 10765\nPNS to CCJ: 15116\nPNS to ICT: 1498\nPNS to TVU: 12151\nPNS to LLU: 7748\nPNS to EPR: 18520\nPNS to SML: 1405\nASF to URJ: 2205\nASF to CCJ: 5060\nASF to ICT: 10321\nASF to TVU: 15053\nASF to LLU: 6575\nASF to EPR: 12131\nASF to SML: 10780\nSML to URJ: 11140\nSML to CCJ: 15407\nSML to ICT: 2699\nSML to TVU: 13527\nSML to LLU: 8123\nSML to EPR: 19916\nURJ to CCJ: 5649\nURJ to ICT: 10729\nURJ to TVU: 13626\nURJ to LLU: 6935\nURJ to EPR: 12051\nTVU to CCJ: 11914\nTVU to ICT: 11130\nTVU to LLU: 17456\nTVU to EPR: 7205\nEPR to CCJ: 7552\nEPR to ICT: 17651\nEPR to LLU: 18125\nLLU to CCJ: 11444\nLLU to ICT: 7773\nCCJ to ICT: 14976\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51113,
"style": "rule"
}
|
{
"exact_answer": 51113,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PNS\", \"id\": 0}, {\"name\": \"ASF\", \"id\": 1}, {\"name\": \"SML\", \"id\": 2}, {\"name\": \"URJ\", \"id\": 3}, {\"name\": \"TVU\", \"id\": 4}, {\"name\": \"EPR\", \"id\": 5}, {\"name\": \"LLU\", \"id\": 6}, {\"name\": \"CCJ\", \"id\": 7}, {\"name\": \"ICT\", \"id\": 8}], \"links\": [{\"weight\": 10397, \"source\": 0, \"target\": 1}, {\"weight\": 10765, \"source\": 0, \"target\": 3}, {\"weight\": 15116, \"source\": 0, \"target\": 7}, {\"weight\": 1498, \"source\": 0, \"target\": 8}, {\"weight\": 12151, \"source\": 0, \"target\": 4}, {\"weight\": 7748, \"source\": 0, \"target\": 6}, {\"weight\": 18520, \"source\": 0, \"target\": 5}, {\"weight\": 1405, \"source\": 0, \"target\": 2}, {\"weight\": 2205, \"source\": 1, \"target\": 3}, {\"weight\": 5060, \"source\": 1, \"target\": 7}, {\"weight\": 10321, \"source\": 1, \"target\": 8}, {\"weight\": 15053, \"source\": 1, \"target\": 4}, {\"weight\": 6575, \"source\": 1, \"target\": 6}, {\"weight\": 12131, \"source\": 1, \"target\": 5}, {\"weight\": 10780, \"source\": 1, \"target\": 2}, {\"weight\": 11140, \"source\": 2, \"target\": 3}, {\"weight\": 15407, \"source\": 2, \"target\": 7}, {\"weight\": 2699, \"source\": 2, \"target\": 8}, {\"weight\": 13527, \"source\": 2, \"target\": 4}, {\"weight\": 8123, \"source\": 2, \"target\": 6}, {\"weight\": 19916, \"source\": 2, \"target\": 5}, {\"weight\": 5649, \"source\": 3, \"target\": 7}, {\"weight\": 10729, \"source\": 3, \"target\": 8}, {\"weight\": 13626, \"source\": 3, \"target\": 4}, {\"weight\": 6935, \"source\": 3, \"target\": 6}, {\"weight\": 12051, \"source\": 3, \"target\": 5}, {\"weight\": 11914, \"source\": 4, \"target\": 7}, {\"weight\": 11130, \"source\": 4, \"target\": 8}, {\"weight\": 17456, \"source\": 4, \"target\": 6}, {\"weight\": 7205, \"source\": 4, \"target\": 5}, {\"weight\": 7552, \"source\": 5, \"target\": 7}, {\"weight\": 17651, \"source\": 5, \"target\": 8}, {\"weight\": 18125, \"source\": 5, \"target\": 6}, {\"weight\": 11444, \"source\": 6, \"target\": 7}, {\"weight\": 7773, \"source\": 6, \"target\": 8}, {\"weight\": 14976, \"source\": 7, \"target\": 8}]}",
"id": 1625,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNS, ASF, SML, URJ, TVU, EPR, LLU, CCJ, ICT\n- Travel distances (in kilometers) between each pair of airports:\nPNS to ASF: 10397\nPNS to URJ: 10765\nPNS to CCJ: 15116\nPNS to ICT: 1498\nPNS to TVU: 12151\nPNS to LLU: 7748\nPNS to EPR: 18520\nPNS to SML: 1405\nASF to URJ: 2205\nASF to CCJ: 5060\nASF to ICT: 10321\nASF to TVU: 15053\nASF to LLU: 6575\nASF to EPR: 12131\nASF to SML: 10780\nSML to URJ: 11140\nSML to CCJ: 15407\nSML to ICT: 2699\nSML to TVU: 13527\nSML to LLU: 8123\nSML to EPR: 19916\nURJ to CCJ: 5649\nURJ to ICT: 10729\nURJ to TVU: 13626\nURJ to LLU: 6935\nURJ to EPR: 12051\nTVU to CCJ: 11914\nTVU to ICT: 11130\nTVU to LLU: 17456\nTVU to EPR: 7205\nEPR to CCJ: 7552\nEPR to ICT: 17651\nEPR to LLU: 18125\nLLU to CCJ: 11444\nLLU to ICT: 7773\nCCJ to ICT: 14976\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BKG, JNB, TUG, BTV, SRA, IMP, EGS, GIG, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nBKG to TUG: 13766\nBKG to GIG: 8964\nBKG to JNB: 14753\nBKG to SHJ: 12551\nBKG to BTV: 1976\nBKG to IMP: 7349\nBKG to SRA: 9421\nBKG to EGS: 8836\nJNB to TUG: 11357\nJNB to GIG: 7775\nJNB to SHJ: 6430\nJNB to BTV: 13259\nJNB to IMP: 9443\nJNB to SRA: 8704\nJNB to EGS: 14177\nTUG to GIG: 18719\nTUG to SHJ: 7390\nTUG to BTV: 14479\nTUG to IMP: 19149\nTUG to SRA: 20061\nTUG to EGS: 14962\nBTV to GIG: 8158\nBTV to SHJ: 11430\nBTV to IMP: 6306\nBTV to SRA: 9357\nBTV to EGS: 7793\nSRA to GIG: 1521\nSRA to SHJ: 13469\nSRA to IMP: 3155\nSRA to EGS: 15661\nIMP to GIG: 1973\nIMP to SHJ: 12487\nIMP to EGS: 13067\nEGS to GIG: 14181\nEGS to SHJ: 9994\nGIG to SHJ: 11948\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58057,
"style": "rule"
}
|
{
"exact_answer": 58057,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BKG\", \"id\": 0}, {\"name\": \"JNB\", \"id\": 1}, {\"name\": \"TUG\", \"id\": 2}, {\"name\": \"BTV\", \"id\": 3}, {\"name\": \"SRA\", \"id\": 4}, {\"name\": \"IMP\", \"id\": 5}, {\"name\": \"EGS\", \"id\": 6}, {\"name\": \"GIG\", \"id\": 7}, {\"name\": \"SHJ\", \"id\": 8}], \"links\": [{\"weight\": 13766, \"source\": 0, \"target\": 2}, {\"weight\": 8964, \"source\": 0, \"target\": 7}, {\"weight\": 14753, \"source\": 0, \"target\": 1}, {\"weight\": 12551, \"source\": 0, \"target\": 8}, {\"weight\": 1976, \"source\": 0, \"target\": 3}, {\"weight\": 7349, \"source\": 0, \"target\": 5}, {\"weight\": 9421, \"source\": 0, \"target\": 4}, {\"weight\": 8836, \"source\": 0, \"target\": 6}, {\"weight\": 11357, \"source\": 1, \"target\": 2}, {\"weight\": 7775, \"source\": 1, \"target\": 7}, {\"weight\": 6430, \"source\": 1, \"target\": 8}, {\"weight\": 13259, \"source\": 1, \"target\": 3}, {\"weight\": 9443, \"source\": 1, \"target\": 5}, {\"weight\": 8704, \"source\": 1, \"target\": 4}, {\"weight\": 14177, \"source\": 1, \"target\": 6}, {\"weight\": 18719, \"source\": 2, \"target\": 7}, {\"weight\": 7390, \"source\": 2, \"target\": 8}, {\"weight\": 14479, \"source\": 2, \"target\": 3}, {\"weight\": 19149, \"source\": 2, \"target\": 5}, {\"weight\": 20061, \"source\": 2, \"target\": 4}, {\"weight\": 14962, \"source\": 2, \"target\": 6}, {\"weight\": 8158, \"source\": 3, \"target\": 7}, {\"weight\": 11430, \"source\": 3, \"target\": 8}, {\"weight\": 6306, \"source\": 3, \"target\": 5}, {\"weight\": 9357, \"source\": 3, \"target\": 4}, {\"weight\": 7793, \"source\": 3, \"target\": 6}, {\"weight\": 1521, \"source\": 4, \"target\": 7}, {\"weight\": 13469, \"source\": 4, \"target\": 8}, {\"weight\": 3155, \"source\": 4, \"target\": 5}, {\"weight\": 15661, \"source\": 4, \"target\": 6}, {\"weight\": 1973, \"source\": 5, \"target\": 7}, {\"weight\": 12487, \"source\": 5, \"target\": 8}, {\"weight\": 13067, \"source\": 5, \"target\": 6}, {\"weight\": 14181, \"source\": 6, \"target\": 7}, {\"weight\": 9994, \"source\": 6, \"target\": 8}, {\"weight\": 11948, \"source\": 7, \"target\": 8}]}",
"id": 1626,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BKG, JNB, TUG, BTV, SRA, IMP, EGS, GIG, SHJ\n- Travel distances (in kilometers) between each pair of airports:\nBKG to TUG: 13766\nBKG to GIG: 8964\nBKG to JNB: 14753\nBKG to SHJ: 12551\nBKG to BTV: 1976\nBKG to IMP: 7349\nBKG to SRA: 9421\nBKG to EGS: 8836\nJNB to TUG: 11357\nJNB to GIG: 7775\nJNB to SHJ: 6430\nJNB to BTV: 13259\nJNB to IMP: 9443\nJNB to SRA: 8704\nJNB to EGS: 14177\nTUG to GIG: 18719\nTUG to SHJ: 7390\nTUG to BTV: 14479\nTUG to IMP: 19149\nTUG to SRA: 20061\nTUG to EGS: 14962\nBTV to GIG: 8158\nBTV to SHJ: 11430\nBTV to IMP: 6306\nBTV to SRA: 9357\nBTV to EGS: 7793\nSRA to GIG: 1521\nSRA to SHJ: 13469\nSRA to IMP: 3155\nSRA to EGS: 15661\nIMP to GIG: 1973\nIMP to SHJ: 12487\nIMP to EGS: 13067\nEGS to GIG: 14181\nEGS to SHJ: 9994\nGIG to SHJ: 11948\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, NQU, MLA, BOM, BJM, FSM, TPE, AOK, RDM\n- Travel distances (in kilometers) between each pair of airports:\nYNT to TPE: 1370\nYNT to BOM: 5121\nYNT to NQU: 15504\nYNT to AOK: 8523\nYNT to FSM: 11691\nYNT to RDM: 9076\nYNT to MLA: 8945\nYNT to BJM: 10527\nNQU to TPE: 16589\nNQU to BOM: 15990\nNQU to AOK: 11234\nNQU to FSM: 4549\nNQU to RDM: 6595\nNQU to MLA: 10059\nNQU to BJM: 13573\nMLA to TPE: 9783\nMLA to BOM: 5981\nMLA to AOK: 1272\nMLA to FSM: 9533\nMLA to RDM: 10167\nMLA to BJM: 5519\nBOM to TPE: 5002\nBOM to AOK: 5442\nBOM to FSM: 14664\nBOM to RDM: 13831\nBOM to BJM: 5406\nBJM to TPE: 10378\nBJM to AOK: 5266\nBJM to FSM: 13623\nBJM to RDM: 14800\nFSM to TPE: 12776\nFSM to AOK: 10482\nFSM to RDM: 2799\nTPE to AOK: 9361\nTPE to RDM: 10109\nAOK to RDM: 10774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44799,
"style": "rule"
}
|
{
"exact_answer": 44799,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YNT\", \"id\": 0}, {\"name\": \"NQU\", \"id\": 1}, {\"name\": \"MLA\", \"id\": 2}, {\"name\": \"BOM\", \"id\": 3}, {\"name\": \"BJM\", \"id\": 4}, {\"name\": \"FSM\", \"id\": 5}, {\"name\": \"TPE\", \"id\": 6}, {\"name\": \"AOK\", \"id\": 7}, {\"name\": \"RDM\", \"id\": 8}], \"links\": [{\"weight\": 1370, \"source\": 0, \"target\": 6}, {\"weight\": 5121, \"source\": 0, \"target\": 3}, {\"weight\": 15504, \"source\": 0, \"target\": 1}, {\"weight\": 8523, \"source\": 0, \"target\": 7}, {\"weight\": 11691, \"source\": 0, \"target\": 5}, {\"weight\": 9076, \"source\": 0, \"target\": 8}, {\"weight\": 8945, \"source\": 0, \"target\": 2}, {\"weight\": 10527, \"source\": 0, \"target\": 4}, {\"weight\": 16589, \"source\": 1, \"target\": 6}, {\"weight\": 15990, \"source\": 1, \"target\": 3}, {\"weight\": 11234, \"source\": 1, \"target\": 7}, {\"weight\": 4549, \"source\": 1, \"target\": 5}, {\"weight\": 6595, \"source\": 1, \"target\": 8}, {\"weight\": 10059, \"source\": 1, \"target\": 2}, {\"weight\": 13573, \"source\": 1, \"target\": 4}, {\"weight\": 9783, \"source\": 2, \"target\": 6}, {\"weight\": 5981, \"source\": 2, \"target\": 3}, {\"weight\": 1272, \"source\": 2, \"target\": 7}, {\"weight\": 9533, \"source\": 2, \"target\": 5}, {\"weight\": 10167, \"source\": 2, \"target\": 8}, {\"weight\": 5519, \"source\": 2, \"target\": 4}, {\"weight\": 5002, \"source\": 3, \"target\": 6}, {\"weight\": 5442, \"source\": 3, \"target\": 7}, {\"weight\": 14664, \"source\": 3, \"target\": 5}, {\"weight\": 13831, \"source\": 3, \"target\": 8}, {\"weight\": 5406, \"source\": 3, \"target\": 4}, {\"weight\": 10378, \"source\": 4, \"target\": 6}, {\"weight\": 5266, \"source\": 4, \"target\": 7}, {\"weight\": 13623, \"source\": 4, \"target\": 5}, {\"weight\": 14800, \"source\": 4, \"target\": 8}, {\"weight\": 12776, \"source\": 5, \"target\": 6}, {\"weight\": 10482, \"source\": 5, \"target\": 7}, {\"weight\": 2799, \"source\": 5, \"target\": 8}, {\"weight\": 9361, \"source\": 6, \"target\": 7}, {\"weight\": 10109, \"source\": 6, \"target\": 8}, {\"weight\": 10774, \"source\": 7, \"target\": 8}]}",
"id": 1627,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, NQU, MLA, BOM, BJM, FSM, TPE, AOK, RDM\n- Travel distances (in kilometers) between each pair of airports:\nYNT to TPE: 1370\nYNT to BOM: 5121\nYNT to NQU: 15504\nYNT to AOK: 8523\nYNT to FSM: 11691\nYNT to RDM: 9076\nYNT to MLA: 8945\nYNT to BJM: 10527\nNQU to TPE: 16589\nNQU to BOM: 15990\nNQU to AOK: 11234\nNQU to FSM: 4549\nNQU to RDM: 6595\nNQU to MLA: 10059\nNQU to BJM: 13573\nMLA to TPE: 9783\nMLA to BOM: 5981\nMLA to AOK: 1272\nMLA to FSM: 9533\nMLA to RDM: 10167\nMLA to BJM: 5519\nBOM to TPE: 5002\nBOM to AOK: 5442\nBOM to FSM: 14664\nBOM to RDM: 13831\nBOM to BJM: 5406\nBJM to TPE: 10378\nBJM to AOK: 5266\nBJM to FSM: 13623\nBJM to RDM: 14800\nFSM to TPE: 12776\nFSM to AOK: 10482\nFSM to RDM: 2799\nTPE to AOK: 9361\nTPE to RDM: 10109\nAOK to RDM: 10774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: POP, TNG, IRJ, SIN, NTN, NQN, CCM, EXI, MYY\n- Travel distances (in kilometers) between each pair of airports:\nPOP to SIN: 17805\nPOP to TNG: 7402\nPOP to NQN: 6927\nPOP to CCM: 6215\nPOP to MYY: 17356\nPOP to IRJ: 7717\nPOP to NTN: 18262\nPOP to EXI: 7078\nTNG to SIN: 11827\nTNG to NQN: 10531\nTNG to CCM: 8501\nTNG to MYY: 12671\nTNG to IRJ: 10514\nTNG to NTN: 17078\nTNG to EXI: 10917\nIRJ to SIN: 18766\nIRJ to NQN: 1971\nIRJ to CCM: 2331\nIRJ to MYY: 19924\nIRJ to NTN: 15900\nIRJ to EXI: 13698\nSIN to MYY: 1158\nSIN to NQN: 18511\nSIN to CCM: 16753\nSIN to NTN: 5323\nSIN to EXI: 14489\nNTN to NQN: 14654\nNTN to CCM: 16277\nNTN to MYY: 5635\nNTN to EXI: 14888\nNQN to CCM: 2348\nNQN to MYY: 18727\nNQN to EXI: 12782\nCCM to MYY: 17911\nCCM to EXI: 12891\nEXI to MYY: 13586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60316,
"style": "rule"
}
|
{
"exact_answer": 60316,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"POP\", \"id\": 0}, {\"name\": \"TNG\", \"id\": 1}, {\"name\": \"IRJ\", \"id\": 2}, {\"name\": \"SIN\", \"id\": 3}, {\"name\": \"NTN\", \"id\": 4}, {\"name\": \"NQN\", \"id\": 5}, {\"name\": \"CCM\", \"id\": 6}, {\"name\": \"EXI\", \"id\": 7}, {\"name\": \"MYY\", \"id\": 8}], \"links\": [{\"weight\": 17805, \"source\": 0, \"target\": 3}, {\"weight\": 7402, \"source\": 0, \"target\": 1}, {\"weight\": 6927, \"source\": 0, \"target\": 5}, {\"weight\": 6215, \"source\": 0, \"target\": 6}, {\"weight\": 17356, \"source\": 0, \"target\": 8}, {\"weight\": 7717, \"source\": 0, \"target\": 2}, {\"weight\": 18262, \"source\": 0, \"target\": 4}, {\"weight\": 7078, \"source\": 0, \"target\": 7}, {\"weight\": 11827, \"source\": 1, \"target\": 3}, {\"weight\": 10531, \"source\": 1, \"target\": 5}, {\"weight\": 8501, \"source\": 1, \"target\": 6}, {\"weight\": 12671, \"source\": 1, \"target\": 8}, {\"weight\": 10514, \"source\": 1, \"target\": 2}, {\"weight\": 17078, \"source\": 1, \"target\": 4}, {\"weight\": 10917, \"source\": 1, \"target\": 7}, {\"weight\": 18766, \"source\": 2, \"target\": 3}, {\"weight\": 1971, \"source\": 2, \"target\": 5}, {\"weight\": 2331, \"source\": 2, \"target\": 6}, {\"weight\": 19924, \"source\": 2, \"target\": 8}, {\"weight\": 15900, \"source\": 2, \"target\": 4}, {\"weight\": 13698, \"source\": 2, \"target\": 7}, {\"weight\": 1158, \"source\": 3, \"target\": 8}, {\"weight\": 18511, \"source\": 3, \"target\": 5}, {\"weight\": 16753, \"source\": 3, \"target\": 6}, {\"weight\": 5323, \"source\": 3, \"target\": 4}, {\"weight\": 14489, \"source\": 3, \"target\": 7}, {\"weight\": 14654, \"source\": 4, \"target\": 5}, {\"weight\": 16277, \"source\": 4, \"target\": 6}, {\"weight\": 5635, \"source\": 4, \"target\": 8}, {\"weight\": 14888, \"source\": 4, \"target\": 7}, {\"weight\": 2348, \"source\": 5, \"target\": 6}, {\"weight\": 18727, \"source\": 5, \"target\": 8}, {\"weight\": 12782, \"source\": 5, \"target\": 7}, {\"weight\": 17911, \"source\": 6, \"target\": 8}, {\"weight\": 12891, \"source\": 6, \"target\": 7}, {\"weight\": 13586, \"source\": 7, \"target\": 8}]}",
"id": 1628,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: POP, TNG, IRJ, SIN, NTN, NQN, CCM, EXI, MYY\n- Travel distances (in kilometers) between each pair of airports:\nPOP to SIN: 17805\nPOP to TNG: 7402\nPOP to NQN: 6927\nPOP to CCM: 6215\nPOP to MYY: 17356\nPOP to IRJ: 7717\nPOP to NTN: 18262\nPOP to EXI: 7078\nTNG to SIN: 11827\nTNG to NQN: 10531\nTNG to CCM: 8501\nTNG to MYY: 12671\nTNG to IRJ: 10514\nTNG to NTN: 17078\nTNG to EXI: 10917\nIRJ to SIN: 18766\nIRJ to NQN: 1971\nIRJ to CCM: 2331\nIRJ to MYY: 19924\nIRJ to NTN: 15900\nIRJ to EXI: 13698\nSIN to MYY: 1158\nSIN to NQN: 18511\nSIN to CCM: 16753\nSIN to NTN: 5323\nSIN to EXI: 14489\nNTN to NQN: 14654\nNTN to CCM: 16277\nNTN to MYY: 5635\nNTN to EXI: 14888\nNQN to CCM: 2348\nNQN to MYY: 18727\nNQN to EXI: 12782\nCCM to MYY: 17911\nCCM to EXI: 12891\nEXI to MYY: 13586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MRA, BBO, GZT, SOG, BAY, GUC, SKD, LJG\n- Travel distances (in kilometers) between each pair of airports:\nLRD to SKD: 12776\nLRD to LJG: 13949\nLRD to GZT: 11596\nLRD to MRA: 10438\nLRD to BAY: 10699\nLRD to BBO: 14380\nLRD to GUC: 1915\nLRD to SOG: 8344\nMRA to SKD: 5185\nMRA to LJG: 8800\nMRA to GZT: 2450\nMRA to BAY: 2365\nMRA to BBO: 4122\nMRA to GUC: 10240\nMRA to SOG: 3441\nBBO to SKD: 4438\nBBO to LJG: 6778\nBBO to GZT: 3763\nBBO to BAY: 4630\nBBO to GUC: 13889\nBBO to SOG: 6467\nGZT to SKD: 3846\nGZT to LJG: 7538\nGZT to BAY: 1714\nGZT to GUC: 10980\nGZT to SOG: 3559\nSOG to SKD: 4685\nSOG to LJG: 8206\nSOG to BAY: 2641\nSOG to GUC: 7600\nBAY to SKD: 4466\nBAY to LJG: 8199\nBAY to GUC: 10063\nGUC to SKD: 12096\nGUC to LJG: 12644\nSKD to LJG: 4410\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42678,
"style": "rule"
}
|
{
"exact_answer": 42678,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LRD\", \"id\": 0}, {\"name\": \"MRA\", \"id\": 1}, {\"name\": \"BBO\", \"id\": 2}, {\"name\": \"GZT\", \"id\": 3}, {\"name\": \"SOG\", \"id\": 4}, {\"name\": \"BAY\", \"id\": 5}, {\"name\": \"GUC\", \"id\": 6}, {\"name\": \"SKD\", \"id\": 7}, {\"name\": \"LJG\", \"id\": 8}], \"links\": [{\"weight\": 12776, \"source\": 0, \"target\": 7}, {\"weight\": 13949, \"source\": 0, \"target\": 8}, {\"weight\": 11596, \"source\": 0, \"target\": 3}, {\"weight\": 10438, \"source\": 0, \"target\": 1}, {\"weight\": 10699, \"source\": 0, \"target\": 5}, {\"weight\": 14380, \"source\": 0, \"target\": 2}, {\"weight\": 1915, \"source\": 0, \"target\": 6}, {\"weight\": 8344, \"source\": 0, \"target\": 4}, {\"weight\": 5185, \"source\": 1, \"target\": 7}, {\"weight\": 8800, \"source\": 1, \"target\": 8}, {\"weight\": 2450, \"source\": 1, \"target\": 3}, {\"weight\": 2365, \"source\": 1, \"target\": 5}, {\"weight\": 4122, \"source\": 1, \"target\": 2}, {\"weight\": 10240, \"source\": 1, \"target\": 6}, {\"weight\": 3441, \"source\": 1, \"target\": 4}, {\"weight\": 4438, \"source\": 2, \"target\": 7}, {\"weight\": 6778, \"source\": 2, \"target\": 8}, {\"weight\": 3763, \"source\": 2, \"target\": 3}, {\"weight\": 4630, \"source\": 2, \"target\": 5}, {\"weight\": 13889, \"source\": 2, \"target\": 6}, {\"weight\": 6467, \"source\": 2, \"target\": 4}, {\"weight\": 3846, \"source\": 3, \"target\": 7}, {\"weight\": 7538, \"source\": 3, \"target\": 8}, {\"weight\": 1714, \"source\": 3, \"target\": 5}, {\"weight\": 10980, \"source\": 3, \"target\": 6}, {\"weight\": 3559, \"source\": 3, \"target\": 4}, {\"weight\": 4685, \"source\": 4, \"target\": 7}, {\"weight\": 8206, \"source\": 4, \"target\": 8}, {\"weight\": 2641, \"source\": 4, \"target\": 5}, {\"weight\": 7600, \"source\": 4, \"target\": 6}, {\"weight\": 4466, \"source\": 5, \"target\": 7}, {\"weight\": 8199, \"source\": 5, \"target\": 8}, {\"weight\": 10063, \"source\": 5, \"target\": 6}, {\"weight\": 12096, \"source\": 6, \"target\": 7}, {\"weight\": 12644, \"source\": 6, \"target\": 8}, {\"weight\": 4410, \"source\": 7, \"target\": 8}]}",
"id": 1629,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MRA, BBO, GZT, SOG, BAY, GUC, SKD, LJG\n- Travel distances (in kilometers) between each pair of airports:\nLRD to SKD: 12776\nLRD to LJG: 13949\nLRD to GZT: 11596\nLRD to MRA: 10438\nLRD to BAY: 10699\nLRD to BBO: 14380\nLRD to GUC: 1915\nLRD to SOG: 8344\nMRA to SKD: 5185\nMRA to LJG: 8800\nMRA to GZT: 2450\nMRA to BAY: 2365\nMRA to BBO: 4122\nMRA to GUC: 10240\nMRA to SOG: 3441\nBBO to SKD: 4438\nBBO to LJG: 6778\nBBO to GZT: 3763\nBBO to BAY: 4630\nBBO to GUC: 13889\nBBO to SOG: 6467\nGZT to SKD: 3846\nGZT to LJG: 7538\nGZT to BAY: 1714\nGZT to GUC: 10980\nGZT to SOG: 3559\nSOG to SKD: 4685\nSOG to LJG: 8206\nSOG to BAY: 2641\nSOG to GUC: 7600\nBAY to SKD: 4466\nBAY to LJG: 8199\nBAY to GUC: 10063\nGUC to SKD: 12096\nGUC to LJG: 12644\nSKD to LJG: 4410\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AMS, NUS, FRO, JIU, THS, NBX, NOV, YLW\n- Travel distances (in kilometers) between each pair of airports:\nAZI to AMS: 5296\nAZI to YLW: 12408\nAZI to JIU: 6710\nAZI to NOV: 6575\nAZI to NBX: 9622\nAZI to NUS: 13802\nAZI to THS: 5439\nAZI to FRO: 5632\nAMS to YLW: 7504\nAMS to JIU: 8979\nAMS to NOV: 7364\nAMS to NBX: 14162\nAMS to NUS: 17026\nAMS to THS: 9614\nAMS to FRO: 1031\nNUS to YLW: 10916\nNUS to JIU: 8591\nNUS to NOV: 16606\nNUS to NBX: 8825\nNUS to THS: 9415\nNUS to FRO: 16662\nFRO to YLW: 7099\nFRO to JIU: 8584\nFRO to NOV: 8381\nFRO to NBX: 13923\nFRO to THS: 9439\nJIU to YLW: 9930\nJIU to NOV: 12700\nJIU to NBX: 5869\nJIU to THS: 2866\nTHS to YLW: 12502\nTHS to NOV: 10899\nTHS to NBX: 5472\nNBX to YLW: 15088\nNBX to NOV: 14770\nNOV to YLW: 14686\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55984,
"style": "rule"
}
|
{
"exact_answer": 55984,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AZI\", \"id\": 0}, {\"name\": \"AMS\", \"id\": 1}, {\"name\": \"NUS\", \"id\": 2}, {\"name\": \"FRO\", \"id\": 3}, {\"name\": \"JIU\", \"id\": 4}, {\"name\": \"THS\", \"id\": 5}, {\"name\": \"NBX\", \"id\": 6}, {\"name\": \"NOV\", \"id\": 7}, {\"name\": \"YLW\", \"id\": 8}], \"links\": [{\"weight\": 5296, \"source\": 0, \"target\": 1}, {\"weight\": 12408, \"source\": 0, \"target\": 8}, {\"weight\": 6710, \"source\": 0, \"target\": 4}, {\"weight\": 6575, \"source\": 0, \"target\": 7}, {\"weight\": 9622, \"source\": 0, \"target\": 6}, {\"weight\": 13802, \"source\": 0, \"target\": 2}, {\"weight\": 5439, \"source\": 0, \"target\": 5}, {\"weight\": 5632, \"source\": 0, \"target\": 3}, {\"weight\": 7504, \"source\": 1, \"target\": 8}, {\"weight\": 8979, \"source\": 1, \"target\": 4}, {\"weight\": 7364, \"source\": 1, \"target\": 7}, {\"weight\": 14162, \"source\": 1, \"target\": 6}, {\"weight\": 17026, \"source\": 1, \"target\": 2}, {\"weight\": 9614, \"source\": 1, \"target\": 5}, {\"weight\": 1031, \"source\": 1, \"target\": 3}, {\"weight\": 10916, \"source\": 2, \"target\": 8}, {\"weight\": 8591, \"source\": 2, \"target\": 4}, {\"weight\": 16606, \"source\": 2, \"target\": 7}, {\"weight\": 8825, \"source\": 2, \"target\": 6}, {\"weight\": 9415, \"source\": 2, \"target\": 5}, {\"weight\": 16662, \"source\": 2, \"target\": 3}, {\"weight\": 7099, \"source\": 3, \"target\": 8}, {\"weight\": 8584, \"source\": 3, \"target\": 4}, {\"weight\": 8381, \"source\": 3, \"target\": 7}, {\"weight\": 13923, \"source\": 3, \"target\": 6}, {\"weight\": 9439, \"source\": 3, \"target\": 5}, {\"weight\": 9930, \"source\": 4, \"target\": 8}, {\"weight\": 12700, \"source\": 4, \"target\": 7}, {\"weight\": 5869, \"source\": 4, \"target\": 6}, {\"weight\": 2866, \"source\": 4, \"target\": 5}, {\"weight\": 12502, \"source\": 5, \"target\": 8}, {\"weight\": 10899, \"source\": 5, \"target\": 7}, {\"weight\": 5472, \"source\": 5, \"target\": 6}, {\"weight\": 15088, \"source\": 6, \"target\": 8}, {\"weight\": 14770, \"source\": 6, \"target\": 7}, {\"weight\": 14686, \"source\": 7, \"target\": 8}]}",
"id": 1630,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AMS, NUS, FRO, JIU, THS, NBX, NOV, YLW\n- Travel distances (in kilometers) between each pair of airports:\nAZI to AMS: 5296\nAZI to YLW: 12408\nAZI to JIU: 6710\nAZI to NOV: 6575\nAZI to NBX: 9622\nAZI to NUS: 13802\nAZI to THS: 5439\nAZI to FRO: 5632\nAMS to YLW: 7504\nAMS to JIU: 8979\nAMS to NOV: 7364\nAMS to NBX: 14162\nAMS to NUS: 17026\nAMS to THS: 9614\nAMS to FRO: 1031\nNUS to YLW: 10916\nNUS to JIU: 8591\nNUS to NOV: 16606\nNUS to NBX: 8825\nNUS to THS: 9415\nNUS to FRO: 16662\nFRO to YLW: 7099\nFRO to JIU: 8584\nFRO to NOV: 8381\nFRO to NBX: 13923\nFRO to THS: 9439\nJIU to YLW: 9930\nJIU to NOV: 12700\nJIU to NBX: 5869\nJIU to THS: 2866\nTHS to YLW: 12502\nTHS to NOV: 10899\nTHS to NBX: 5472\nNBX to YLW: 15088\nNBX to NOV: 14770\nNOV to YLW: 14686\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WWT, HBA, PZO, KSM, PEN, OAX, LUX, NAH, RTM\n- Travel distances (in kilometers) between each pair of airports:\nWWT to PEN: 15942\nWWT to OAX: 7275\nWWT to KSM: 356\nWWT to PZO: 9938\nWWT to LUX: 11271\nWWT to RTM: 11147\nWWT to HBA: 14473\nWWT to NAH: 17006\nHBA to PEN: 7252\nHBA to OAX: 15964\nHBA to KSM: 14390\nHBA to PZO: 17815\nHBA to LUX: 17103\nHBA to RTM: 17239\nHBA to NAH: 6824\nPZO to PEN: 17913\nPZO to OAX: 4306\nPZO to KSM: 9855\nPZO to LUX: 8031\nPZO to RTM: 8112\nPZO to NAH: 20798\nKSM to PEN: 15859\nKSM to OAX: 7192\nKSM to LUX: 11188\nKSM to RTM: 11064\nKSM to NAH: 16923\nPEN to OAX: 16914\nPEN to LUX: 10030\nPEN to RTM: 10073\nPEN to NAH: 3174\nOAX to LUX: 9587\nOAX to RTM: 9431\nOAX to NAH: 17826\nLUX to RTM: 786\nLUX to NAH: 13026\nNAH to RTM: 13187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55215,
"style": "rule"
}
|
{
"exact_answer": 55215,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WWT\", \"id\": 0}, {\"name\": \"HBA\", \"id\": 1}, {\"name\": \"PZO\", \"id\": 2}, {\"name\": \"KSM\", \"id\": 3}, {\"name\": \"PEN\", \"id\": 4}, {\"name\": \"OAX\", \"id\": 5}, {\"name\": \"LUX\", \"id\": 6}, {\"name\": \"NAH\", \"id\": 7}, {\"name\": \"RTM\", \"id\": 8}], \"links\": [{\"weight\": 15942, \"source\": 0, \"target\": 4}, {\"weight\": 7275, \"source\": 0, \"target\": 5}, {\"weight\": 356, \"source\": 0, \"target\": 3}, {\"weight\": 9938, \"source\": 0, \"target\": 2}, {\"weight\": 11271, \"source\": 0, \"target\": 6}, {\"weight\": 11147, \"source\": 0, \"target\": 8}, {\"weight\": 14473, \"source\": 0, \"target\": 1}, {\"weight\": 17006, \"source\": 0, \"target\": 7}, {\"weight\": 7252, \"source\": 1, \"target\": 4}, {\"weight\": 15964, \"source\": 1, \"target\": 5}, {\"weight\": 14390, \"source\": 1, \"target\": 3}, {\"weight\": 17815, \"source\": 1, \"target\": 2}, {\"weight\": 17103, \"source\": 1, \"target\": 6}, {\"weight\": 17239, \"source\": 1, \"target\": 8}, {\"weight\": 6824, \"source\": 1, \"target\": 7}, {\"weight\": 17913, \"source\": 2, \"target\": 4}, {\"weight\": 4306, \"source\": 2, \"target\": 5}, {\"weight\": 9855, \"source\": 2, \"target\": 3}, {\"weight\": 8031, \"source\": 2, \"target\": 6}, {\"weight\": 8112, \"source\": 2, \"target\": 8}, {\"weight\": 20798, \"source\": 2, \"target\": 7}, {\"weight\": 15859, \"source\": 3, \"target\": 4}, {\"weight\": 7192, \"source\": 3, \"target\": 5}, {\"weight\": 11188, \"source\": 3, \"target\": 6}, {\"weight\": 11064, \"source\": 3, \"target\": 8}, {\"weight\": 16923, \"source\": 3, \"target\": 7}, {\"weight\": 16914, \"source\": 4, \"target\": 5}, {\"weight\": 10030, \"source\": 4, \"target\": 6}, {\"weight\": 10073, \"source\": 4, \"target\": 8}, {\"weight\": 3174, \"source\": 4, \"target\": 7}, {\"weight\": 9587, \"source\": 5, \"target\": 6}, {\"weight\": 9431, \"source\": 5, \"target\": 8}, {\"weight\": 17826, \"source\": 5, \"target\": 7}, {\"weight\": 786, \"source\": 6, \"target\": 8}, {\"weight\": 13026, \"source\": 6, \"target\": 7}, {\"weight\": 13187, \"source\": 7, \"target\": 8}]}",
"id": 1631,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WWT, HBA, PZO, KSM, PEN, OAX, LUX, NAH, RTM\n- Travel distances (in kilometers) between each pair of airports:\nWWT to PEN: 15942\nWWT to OAX: 7275\nWWT to KSM: 356\nWWT to PZO: 9938\nWWT to LUX: 11271\nWWT to RTM: 11147\nWWT to HBA: 14473\nWWT to NAH: 17006\nHBA to PEN: 7252\nHBA to OAX: 15964\nHBA to KSM: 14390\nHBA to PZO: 17815\nHBA to LUX: 17103\nHBA to RTM: 17239\nHBA to NAH: 6824\nPZO to PEN: 17913\nPZO to OAX: 4306\nPZO to KSM: 9855\nPZO to LUX: 8031\nPZO to RTM: 8112\nPZO to NAH: 20798\nKSM to PEN: 15859\nKSM to OAX: 7192\nKSM to LUX: 11188\nKSM to RTM: 11064\nKSM to NAH: 16923\nPEN to OAX: 16914\nPEN to LUX: 10030\nPEN to RTM: 10073\nPEN to NAH: 3174\nOAX to LUX: 9587\nOAX to RTM: 9431\nOAX to NAH: 17826\nLUX to RTM: 786\nLUX to NAH: 13026\nNAH to RTM: 13187\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPI, CKH, AIN, PRN, FLN, LIS, KYK, WIC, MBS\n- Travel distances (in kilometers) between each pair of airports:\nLPI to KYK: 11163\nLPI to PRN: 1929\nLPI to LIS: 2811\nLPI to AIN: 11718\nLPI to MBS: 7129\nLPI to FLN: 11253\nLPI to WIC: 1436\nLPI to CKH: 7576\nCKH to KYK: 14767\nCKH to PRN: 8356\nCKH to LIS: 9679\nCKH to AIN: 15322\nCKH to MBS: 13491\nCKH to FLN: 18127\nCKH to WIC: 8116\nAIN to KYK: 1824\nAIN to PRN: 12865\nAIN to LIS: 12100\nAIN to MBS: 6084\nAIN to FLN: 14615\nAIN to WIC: 10879\nPRN to KYK: 12310\nPRN to LIS: 2735\nPRN to MBS: 8098\nPRN to FLN: 11022\nPRN to WIC: 2477\nFLN to KYK: 13841\nFLN to LIS: 8448\nFLN to MBS: 8861\nFLN to WIC: 10675\nLIS to KYK: 11326\nLIS to MBS: 6241\nLIS to WIC: 2235\nKYK to MBS: 5310\nKYK to WIC: 10324\nWIC to MBS: 6334\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53721,
"style": "rule"
}
|
{
"exact_answer": 53721,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPI\", \"id\": 0}, {\"name\": \"CKH\", \"id\": 1}, {\"name\": \"AIN\", \"id\": 2}, {\"name\": \"PRN\", \"id\": 3}, {\"name\": \"FLN\", \"id\": 4}, {\"name\": \"LIS\", \"id\": 5}, {\"name\": \"KYK\", \"id\": 6}, {\"name\": \"WIC\", \"id\": 7}, {\"name\": \"MBS\", \"id\": 8}], \"links\": [{\"weight\": 11163, \"source\": 0, \"target\": 6}, {\"weight\": 1929, \"source\": 0, \"target\": 3}, {\"weight\": 2811, \"source\": 0, \"target\": 5}, {\"weight\": 11718, \"source\": 0, \"target\": 2}, {\"weight\": 7129, \"source\": 0, \"target\": 8}, {\"weight\": 11253, \"source\": 0, \"target\": 4}, {\"weight\": 1436, \"source\": 0, \"target\": 7}, {\"weight\": 7576, \"source\": 0, \"target\": 1}, {\"weight\": 14767, \"source\": 1, \"target\": 6}, {\"weight\": 8356, \"source\": 1, \"target\": 3}, {\"weight\": 9679, \"source\": 1, \"target\": 5}, {\"weight\": 15322, \"source\": 1, \"target\": 2}, {\"weight\": 13491, \"source\": 1, \"target\": 8}, {\"weight\": 18127, \"source\": 1, \"target\": 4}, {\"weight\": 8116, \"source\": 1, \"target\": 7}, {\"weight\": 1824, \"source\": 2, \"target\": 6}, {\"weight\": 12865, \"source\": 2, \"target\": 3}, {\"weight\": 12100, \"source\": 2, \"target\": 5}, {\"weight\": 6084, \"source\": 2, \"target\": 8}, {\"weight\": 14615, \"source\": 2, \"target\": 4}, {\"weight\": 10879, \"source\": 2, \"target\": 7}, {\"weight\": 12310, \"source\": 3, \"target\": 6}, {\"weight\": 2735, \"source\": 3, \"target\": 5}, {\"weight\": 8098, \"source\": 3, \"target\": 8}, {\"weight\": 11022, \"source\": 3, \"target\": 4}, {\"weight\": 2477, \"source\": 3, \"target\": 7}, {\"weight\": 13841, \"source\": 4, \"target\": 6}, {\"weight\": 8448, \"source\": 4, \"target\": 5}, {\"weight\": 8861, \"source\": 4, \"target\": 8}, {\"weight\": 10675, \"source\": 4, \"target\": 7}, {\"weight\": 11326, \"source\": 5, \"target\": 6}, {\"weight\": 6241, \"source\": 5, \"target\": 8}, {\"weight\": 2235, \"source\": 5, \"target\": 7}, {\"weight\": 5310, \"source\": 6, \"target\": 8}, {\"weight\": 10324, \"source\": 6, \"target\": 7}, {\"weight\": 6334, \"source\": 7, \"target\": 8}]}",
"id": 1632,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPI, CKH, AIN, PRN, FLN, LIS, KYK, WIC, MBS\n- Travel distances (in kilometers) between each pair of airports:\nLPI to KYK: 11163\nLPI to PRN: 1929\nLPI to LIS: 2811\nLPI to AIN: 11718\nLPI to MBS: 7129\nLPI to FLN: 11253\nLPI to WIC: 1436\nLPI to CKH: 7576\nCKH to KYK: 14767\nCKH to PRN: 8356\nCKH to LIS: 9679\nCKH to AIN: 15322\nCKH to MBS: 13491\nCKH to FLN: 18127\nCKH to WIC: 8116\nAIN to KYK: 1824\nAIN to PRN: 12865\nAIN to LIS: 12100\nAIN to MBS: 6084\nAIN to FLN: 14615\nAIN to WIC: 10879\nPRN to KYK: 12310\nPRN to LIS: 2735\nPRN to MBS: 8098\nPRN to FLN: 11022\nPRN to WIC: 2477\nFLN to KYK: 13841\nFLN to LIS: 8448\nFLN to MBS: 8861\nFLN to WIC: 10675\nLIS to KYK: 11326\nLIS to MBS: 6241\nLIS to WIC: 2235\nKYK to MBS: 5310\nKYK to WIC: 10324\nWIC to MBS: 6334\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DTW, RRS, FAV, MJF, BTK, BTM, LMM, AOG, TCT\n- Travel distances (in kilometers) between each pair of airports:\nDTW to BTK: 11552\nDTW to TCT: 5264\nDTW to LMM: 3395\nDTW to AOG: 11187\nDTW to BTM: 2953\nDTW to FAV: 10240\nDTW to MJF: 6425\nDTW to RRS: 6557\nRRS to BTK: 5623\nRRS to TCT: 10555\nRRS to LMM: 9654\nRRS to AOG: 7876\nRRS to BTM: 8944\nRRS to FAV: 16215\nRRS to MJF: 906\nFAV to BTK: 13761\nFAV to TCT: 9717\nFAV to LMM: 8369\nFAV to AOG: 12570\nFAV to BTM: 8588\nFAV to MJF: 16083\nMJF to BTK: 5746\nMJF to TCT: 10423\nMJF to LMM: 9522\nMJF to AOG: 8047\nMJF to BTM: 8812\nBTK to TCT: 13511\nBTK to LMM: 13475\nBTK to AOG: 2672\nBTK to BTM: 12481\nBTM to TCT: 4363\nBTM to LMM: 2309\nBTM to AOG: 10889\nLMM to TCT: 5392\nLMM to AOG: 11883\nAOG to TCT: 11919\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47980,
"style": "rule"
}
|
{
"exact_answer": 47980,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DTW\", \"id\": 0}, {\"name\": \"RRS\", \"id\": 1}, {\"name\": \"FAV\", \"id\": 2}, {\"name\": \"MJF\", \"id\": 3}, {\"name\": \"BTK\", \"id\": 4}, {\"name\": \"BTM\", \"id\": 5}, {\"name\": \"LMM\", \"id\": 6}, {\"name\": \"AOG\", \"id\": 7}, {\"name\": \"TCT\", \"id\": 8}], \"links\": [{\"weight\": 11552, \"source\": 0, \"target\": 4}, {\"weight\": 5264, \"source\": 0, \"target\": 8}, {\"weight\": 3395, \"source\": 0, \"target\": 6}, {\"weight\": 11187, \"source\": 0, \"target\": 7}, {\"weight\": 2953, \"source\": 0, \"target\": 5}, {\"weight\": 10240, \"source\": 0, \"target\": 2}, {\"weight\": 6425, \"source\": 0, \"target\": 3}, {\"weight\": 6557, \"source\": 0, \"target\": 1}, {\"weight\": 5623, \"source\": 1, \"target\": 4}, {\"weight\": 10555, \"source\": 1, \"target\": 8}, {\"weight\": 9654, \"source\": 1, \"target\": 6}, {\"weight\": 7876, \"source\": 1, \"target\": 7}, {\"weight\": 8944, \"source\": 1, \"target\": 5}, {\"weight\": 16215, \"source\": 1, \"target\": 2}, {\"weight\": 906, \"source\": 1, \"target\": 3}, {\"weight\": 13761, \"source\": 2, \"target\": 4}, {\"weight\": 9717, \"source\": 2, \"target\": 8}, {\"weight\": 8369, \"source\": 2, \"target\": 6}, {\"weight\": 12570, \"source\": 2, \"target\": 7}, {\"weight\": 8588, \"source\": 2, \"target\": 5}, {\"weight\": 16083, \"source\": 2, \"target\": 3}, {\"weight\": 5746, \"source\": 3, \"target\": 4}, {\"weight\": 10423, \"source\": 3, \"target\": 8}, {\"weight\": 9522, \"source\": 3, \"target\": 6}, {\"weight\": 8047, \"source\": 3, \"target\": 7}, {\"weight\": 8812, \"source\": 3, \"target\": 5}, {\"weight\": 13511, \"source\": 4, \"target\": 8}, {\"weight\": 13475, \"source\": 4, \"target\": 6}, {\"weight\": 2672, \"source\": 4, \"target\": 7}, {\"weight\": 12481, \"source\": 4, \"target\": 5}, {\"weight\": 4363, \"source\": 5, \"target\": 8}, {\"weight\": 2309, \"source\": 5, \"target\": 6}, {\"weight\": 10889, \"source\": 5, \"target\": 7}, {\"weight\": 5392, \"source\": 6, \"target\": 8}, {\"weight\": 11883, \"source\": 6, \"target\": 7}, {\"weight\": 11919, \"source\": 7, \"target\": 8}]}",
"id": 1633,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DTW, RRS, FAV, MJF, BTK, BTM, LMM, AOG, TCT\n- Travel distances (in kilometers) between each pair of airports:\nDTW to BTK: 11552\nDTW to TCT: 5264\nDTW to LMM: 3395\nDTW to AOG: 11187\nDTW to BTM: 2953\nDTW to FAV: 10240\nDTW to MJF: 6425\nDTW to RRS: 6557\nRRS to BTK: 5623\nRRS to TCT: 10555\nRRS to LMM: 9654\nRRS to AOG: 7876\nRRS to BTM: 8944\nRRS to FAV: 16215\nRRS to MJF: 906\nFAV to BTK: 13761\nFAV to TCT: 9717\nFAV to LMM: 8369\nFAV to AOG: 12570\nFAV to BTM: 8588\nFAV to MJF: 16083\nMJF to BTK: 5746\nMJF to TCT: 10423\nMJF to LMM: 9522\nMJF to AOG: 8047\nMJF to BTM: 8812\nBTK to TCT: 13511\nBTK to LMM: 13475\nBTK to AOG: 2672\nBTK to BTM: 12481\nBTM to TCT: 4363\nBTM to LMM: 2309\nBTM to AOG: 10889\nLMM to TCT: 5392\nLMM to AOG: 11883\nAOG to TCT: 11919\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, ZOS, KGE, PRH, MWA, NUE, TJA, AAR, GGT\n- Travel distances (in kilometers) between each pair of airports:\nAGB to GGT: 8902\nAGB to NUE: 1549\nAGB to MWA: 8432\nAGB to TJA: 10884\nAGB to AAR: 2309\nAGB to PRH: 10611\nAGB to KGE: 17261\nAGB to ZOS: 13049\nZOS to GGT: 7650\nZOS to NUE: 13076\nZOS to MWA: 9273\nZOS to TJA: 3418\nZOS to AAR: 13619\nZOS to PRH: 20222\nZOS to KGE: 14355\nKGE to GGT: 15612\nKGE to NUE: 15939\nKGE to MWA: 14059\nKGE to TJA: 16121\nKGE to AAR: 15592\nKGE to PRH: 8373\nPRH to GGT: 16607\nPRH to NUE: 9369\nPRH to MWA: 14923\nPRH to TJA: 19843\nPRH to AAR: 9378\nMWA to GGT: 2336\nMWA to NUE: 7728\nMWA to TJA: 7433\nMWA to AAR: 7387\nNUE to GGT: 8047\nNUE to TJA: 10911\nNUE to AAR: 863\nTJA to GGT: 5887\nTJA to AAR: 11516\nAAR to GGT: 8123\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54591,
"style": "rule"
}
|
{
"exact_answer": 54591,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AGB\", \"id\": 0}, {\"name\": \"ZOS\", \"id\": 1}, {\"name\": \"KGE\", \"id\": 2}, {\"name\": \"PRH\", \"id\": 3}, {\"name\": \"MWA\", \"id\": 4}, {\"name\": \"NUE\", \"id\": 5}, {\"name\": \"TJA\", \"id\": 6}, {\"name\": \"AAR\", \"id\": 7}, {\"name\": \"GGT\", \"id\": 8}], \"links\": [{\"weight\": 8902, \"source\": 0, \"target\": 8}, {\"weight\": 1549, \"source\": 0, \"target\": 5}, {\"weight\": 8432, \"source\": 0, \"target\": 4}, {\"weight\": 10884, \"source\": 0, \"target\": 6}, {\"weight\": 2309, \"source\": 0, \"target\": 7}, {\"weight\": 10611, \"source\": 0, \"target\": 3}, {\"weight\": 17261, \"source\": 0, \"target\": 2}, {\"weight\": 13049, \"source\": 0, \"target\": 1}, {\"weight\": 7650, \"source\": 1, \"target\": 8}, {\"weight\": 13076, \"source\": 1, \"target\": 5}, {\"weight\": 9273, \"source\": 1, \"target\": 4}, {\"weight\": 3418, \"source\": 1, \"target\": 6}, {\"weight\": 13619, \"source\": 1, \"target\": 7}, {\"weight\": 20222, \"source\": 1, \"target\": 3}, {\"weight\": 14355, \"source\": 1, \"target\": 2}, {\"weight\": 15612, \"source\": 2, \"target\": 8}, {\"weight\": 15939, \"source\": 2, \"target\": 5}, {\"weight\": 14059, \"source\": 2, \"target\": 4}, {\"weight\": 16121, \"source\": 2, \"target\": 6}, {\"weight\": 15592, \"source\": 2, \"target\": 7}, {\"weight\": 8373, \"source\": 2, \"target\": 3}, {\"weight\": 16607, \"source\": 3, \"target\": 8}, {\"weight\": 9369, \"source\": 3, \"target\": 5}, {\"weight\": 14923, \"source\": 3, \"target\": 4}, {\"weight\": 19843, \"source\": 3, \"target\": 6}, {\"weight\": 9378, \"source\": 3, \"target\": 7}, {\"weight\": 2336, \"source\": 4, \"target\": 8}, {\"weight\": 7728, \"source\": 4, \"target\": 5}, {\"weight\": 7433, \"source\": 4, \"target\": 6}, {\"weight\": 7387, \"source\": 4, \"target\": 7}, {\"weight\": 8047, \"source\": 5, \"target\": 8}, {\"weight\": 10911, \"source\": 5, \"target\": 6}, {\"weight\": 863, \"source\": 5, \"target\": 7}, {\"weight\": 5887, \"source\": 6, \"target\": 8}, {\"weight\": 11516, \"source\": 6, \"target\": 7}, {\"weight\": 8123, \"source\": 7, \"target\": 8}]}",
"id": 1634,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, ZOS, KGE, PRH, MWA, NUE, TJA, AAR, GGT\n- Travel distances (in kilometers) between each pair of airports:\nAGB to GGT: 8902\nAGB to NUE: 1549\nAGB to MWA: 8432\nAGB to TJA: 10884\nAGB to AAR: 2309\nAGB to PRH: 10611\nAGB to KGE: 17261\nAGB to ZOS: 13049\nZOS to GGT: 7650\nZOS to NUE: 13076\nZOS to MWA: 9273\nZOS to TJA: 3418\nZOS to AAR: 13619\nZOS to PRH: 20222\nZOS to KGE: 14355\nKGE to GGT: 15612\nKGE to NUE: 15939\nKGE to MWA: 14059\nKGE to TJA: 16121\nKGE to AAR: 15592\nKGE to PRH: 8373\nPRH to GGT: 16607\nPRH to NUE: 9369\nPRH to MWA: 14923\nPRH to TJA: 19843\nPRH to AAR: 9378\nMWA to GGT: 2336\nMWA to NUE: 7728\nMWA to TJA: 7433\nMWA to AAR: 7387\nNUE to GGT: 8047\nNUE to TJA: 10911\nNUE to AAR: 863\nTJA to GGT: 5887\nTJA to AAR: 11516\nAAR to GGT: 8123\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXT, KUV, SSH, WMX, HUI, INL, STR, STD, BMU\n- Travel distances (in kilometers) between each pair of airports:\nAXT to STR: 9538\nAXT to INL: 10724\nAXT to BMU: 6401\nAXT to SSH: 9699\nAXT to WMX: 8392\nAXT to KUV: 1792\nAXT to STD: 15383\nAXT to HUI: 4474\nKUV to STR: 9265\nKUV to INL: 11521\nKUV to BMU: 5537\nKUV to SSH: 8975\nKUV to WMX: 7458\nKUV to STD: 15847\nKUV to HUI: 3287\nSSH to STR: 3164\nSSH to INL: 10754\nSSH to BMU: 9971\nSSH to WMX: 12318\nSSH to STD: 11319\nSSH to HUI: 8149\nWMX to STR: 14624\nWMX to INL: 18032\nWMX to BMU: 3396\nWMX to STD: 22718\nWMX to HUI: 6098\nHUI to STR: 9362\nHUI to INL: 14109\nHUI to BMU: 3754\nHUI to STD: 17935\nINL to STR: 7603\nINL to BMU: 15958\nINL to STD: 5632\nSTR to BMU: 12280\nSTR to STD: 8768\nSTD to BMU: 20763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52832,
"style": "rule"
}
|
{
"exact_answer": 52832,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AXT\", \"id\": 0}, {\"name\": \"KUV\", \"id\": 1}, {\"name\": \"SSH\", \"id\": 2}, {\"name\": \"WMX\", \"id\": 3}, {\"name\": \"HUI\", \"id\": 4}, {\"name\": \"INL\", \"id\": 5}, {\"name\": \"STR\", \"id\": 6}, {\"name\": \"STD\", \"id\": 7}, {\"name\": \"BMU\", \"id\": 8}], \"links\": [{\"weight\": 9538, \"source\": 0, \"target\": 6}, {\"weight\": 10724, \"source\": 0, \"target\": 5}, {\"weight\": 6401, \"source\": 0, \"target\": 8}, {\"weight\": 9699, \"source\": 0, \"target\": 2}, {\"weight\": 8392, \"source\": 0, \"target\": 3}, {\"weight\": 1792, \"source\": 0, \"target\": 1}, {\"weight\": 15383, \"source\": 0, \"target\": 7}, {\"weight\": 4474, \"source\": 0, \"target\": 4}, {\"weight\": 9265, \"source\": 1, \"target\": 6}, {\"weight\": 11521, \"source\": 1, \"target\": 5}, {\"weight\": 5537, \"source\": 1, \"target\": 8}, {\"weight\": 8975, \"source\": 1, \"target\": 2}, {\"weight\": 7458, \"source\": 1, \"target\": 3}, {\"weight\": 15847, \"source\": 1, \"target\": 7}, {\"weight\": 3287, \"source\": 1, \"target\": 4}, {\"weight\": 3164, \"source\": 2, \"target\": 6}, {\"weight\": 10754, \"source\": 2, \"target\": 5}, {\"weight\": 9971, \"source\": 2, \"target\": 8}, {\"weight\": 12318, \"source\": 2, \"target\": 3}, {\"weight\": 11319, \"source\": 2, \"target\": 7}, {\"weight\": 8149, \"source\": 2, \"target\": 4}, {\"weight\": 14624, \"source\": 3, \"target\": 6}, {\"weight\": 18032, \"source\": 3, \"target\": 5}, {\"weight\": 3396, \"source\": 3, \"target\": 8}, {\"weight\": 22718, \"source\": 3, \"target\": 7}, {\"weight\": 6098, \"source\": 3, \"target\": 4}, {\"weight\": 9362, \"source\": 4, \"target\": 6}, {\"weight\": 14109, \"source\": 4, \"target\": 5}, {\"weight\": 3754, \"source\": 4, \"target\": 8}, {\"weight\": 17935, \"source\": 4, \"target\": 7}, {\"weight\": 7603, \"source\": 5, \"target\": 6}, {\"weight\": 15958, \"source\": 5, \"target\": 8}, {\"weight\": 5632, \"source\": 5, \"target\": 7}, {\"weight\": 12280, \"source\": 6, \"target\": 8}, {\"weight\": 8768, \"source\": 6, \"target\": 7}, {\"weight\": 20763, \"source\": 7, \"target\": 8}]}",
"id": 1635,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXT, KUV, SSH, WMX, HUI, INL, STR, STD, BMU\n- Travel distances (in kilometers) between each pair of airports:\nAXT to STR: 9538\nAXT to INL: 10724\nAXT to BMU: 6401\nAXT to SSH: 9699\nAXT to WMX: 8392\nAXT to KUV: 1792\nAXT to STD: 15383\nAXT to HUI: 4474\nKUV to STR: 9265\nKUV to INL: 11521\nKUV to BMU: 5537\nKUV to SSH: 8975\nKUV to WMX: 7458\nKUV to STD: 15847\nKUV to HUI: 3287\nSSH to STR: 3164\nSSH to INL: 10754\nSSH to BMU: 9971\nSSH to WMX: 12318\nSSH to STD: 11319\nSSH to HUI: 8149\nWMX to STR: 14624\nWMX to INL: 18032\nWMX to BMU: 3396\nWMX to STD: 22718\nWMX to HUI: 6098\nHUI to STR: 9362\nHUI to INL: 14109\nHUI to BMU: 3754\nHUI to STD: 17935\nINL to STR: 7603\nINL to BMU: 15958\nINL to STD: 5632\nSTR to BMU: 12280\nSTR to STD: 8768\nSTD to BMU: 20763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, ROV, CKY, WAT, XCR, RAI, DAB, FNC, MYY\n- Travel distances (in kilometers) between each pair of airports:\nTZA to CKY: 9726\nTZA to ROV: 11205\nTZA to DAB: 2433\nTZA to FNC: 8054\nTZA to MYY: 16624\nTZA to RAI: 8676\nTZA to WAT: 8572\nTZA to XCR: 9512\nROV to CKY: 6725\nROV to DAB: 9810\nROV to FNC: 4989\nROV to MYY: 8767\nROV to RAI: 6887\nROV to WAT: 3357\nROV to XCR: 5169\nCKY to DAB: 8300\nCKY to FNC: 2621\nCKY to MYY: 14429\nCKY to RAI: 1252\nCKY to WAT: 5309\nCKY to XCR: 4920\nWAT to DAB: 7250\nWAT to FNC: 2870\nWAT to MYY: 12005\nWAT to RAI: 4955\nWAT to XCR: 3027\nXCR to DAB: 8191\nXCR to FNC: 2501\nXCR to MYY: 13902\nXCR to RAI: 4579\nRAI to DAB: 7290\nRAI to FNC: 2214\nRAI to MYY: 15091\nDAB to FNC: 6668\nDAB to MYY: 16011\nFNC to MYY: 13698\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47872,
"style": "rule"
}
|
{
"exact_answer": 47872,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TZA\", \"id\": 0}, {\"name\": \"ROV\", \"id\": 1}, {\"name\": \"CKY\", \"id\": 2}, {\"name\": \"WAT\", \"id\": 3}, {\"name\": \"XCR\", \"id\": 4}, {\"name\": \"RAI\", \"id\": 5}, {\"name\": \"DAB\", \"id\": 6}, {\"name\": \"FNC\", \"id\": 7}, {\"name\": \"MYY\", \"id\": 8}], \"links\": [{\"weight\": 9726, \"source\": 0, \"target\": 2}, {\"weight\": 11205, \"source\": 0, \"target\": 1}, {\"weight\": 2433, \"source\": 0, \"target\": 6}, {\"weight\": 8054, \"source\": 0, \"target\": 7}, {\"weight\": 16624, \"source\": 0, \"target\": 8}, {\"weight\": 8676, \"source\": 0, \"target\": 5}, {\"weight\": 8572, \"source\": 0, \"target\": 3}, {\"weight\": 9512, \"source\": 0, \"target\": 4}, {\"weight\": 6725, \"source\": 1, \"target\": 2}, {\"weight\": 9810, \"source\": 1, \"target\": 6}, {\"weight\": 4989, \"source\": 1, \"target\": 7}, {\"weight\": 8767, \"source\": 1, \"target\": 8}, {\"weight\": 6887, \"source\": 1, \"target\": 5}, {\"weight\": 3357, \"source\": 1, \"target\": 3}, {\"weight\": 5169, \"source\": 1, \"target\": 4}, {\"weight\": 8300, \"source\": 2, \"target\": 6}, {\"weight\": 2621, \"source\": 2, \"target\": 7}, {\"weight\": 14429, \"source\": 2, \"target\": 8}, {\"weight\": 1252, \"source\": 2, \"target\": 5}, {\"weight\": 5309, \"source\": 2, \"target\": 3}, {\"weight\": 4920, \"source\": 2, \"target\": 4}, {\"weight\": 7250, \"source\": 3, \"target\": 6}, {\"weight\": 2870, \"source\": 3, \"target\": 7}, {\"weight\": 12005, \"source\": 3, \"target\": 8}, {\"weight\": 4955, \"source\": 3, \"target\": 5}, {\"weight\": 3027, \"source\": 3, \"target\": 4}, {\"weight\": 8191, \"source\": 4, \"target\": 6}, {\"weight\": 2501, \"source\": 4, \"target\": 7}, {\"weight\": 13902, \"source\": 4, \"target\": 8}, {\"weight\": 4579, \"source\": 4, \"target\": 5}, {\"weight\": 7290, \"source\": 5, \"target\": 6}, {\"weight\": 2214, \"source\": 5, \"target\": 7}, {\"weight\": 15091, \"source\": 5, \"target\": 8}, {\"weight\": 6668, \"source\": 6, \"target\": 7}, {\"weight\": 16011, \"source\": 6, \"target\": 8}, {\"weight\": 13698, \"source\": 7, \"target\": 8}]}",
"id": 1636,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, ROV, CKY, WAT, XCR, RAI, DAB, FNC, MYY\n- Travel distances (in kilometers) between each pair of airports:\nTZA to CKY: 9726\nTZA to ROV: 11205\nTZA to DAB: 2433\nTZA to FNC: 8054\nTZA to MYY: 16624\nTZA to RAI: 8676\nTZA to WAT: 8572\nTZA to XCR: 9512\nROV to CKY: 6725\nROV to DAB: 9810\nROV to FNC: 4989\nROV to MYY: 8767\nROV to RAI: 6887\nROV to WAT: 3357\nROV to XCR: 5169\nCKY to DAB: 8300\nCKY to FNC: 2621\nCKY to MYY: 14429\nCKY to RAI: 1252\nCKY to WAT: 5309\nCKY to XCR: 4920\nWAT to DAB: 7250\nWAT to FNC: 2870\nWAT to MYY: 12005\nWAT to RAI: 4955\nWAT to XCR: 3027\nXCR to DAB: 8191\nXCR to FNC: 2501\nXCR to MYY: 13902\nXCR to RAI: 4579\nRAI to DAB: 7290\nRAI to FNC: 2214\nRAI to MYY: 15091\nDAB to FNC: 6668\nDAB to MYY: 16011\nFNC to MYY: 13698\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFT, ODS, CEC, HYD, WNA, CIU, EGE, YTH, KUA\n- Travel distances (in kilometers) between each pair of airports:\nLFT to WNA: 6110\nLFT to YTH: 3227\nLFT to HYD: 14907\nLFT to ODS: 9818\nLFT to CIU: 2222\nLFT to KUA: 16365\nLFT to CEC: 3283\nLFT to EGE: 1789\nODS to WNA: 12539\nODS to YTH: 10013\nODS to HYD: 5742\nODS to CIU: 8682\nODS to KUA: 8954\nODS to CEC: 10909\nODS to EGE: 9671\nCEC to WNA: 4318\nCEC to YTH: 3796\nCEC to HYD: 14765\nCEC to CIU: 4108\nCEC to KUA: 14327\nCEC to EGE: 2073\nHYD to WNA: 16437\nHYD to YTH: 15057\nHYD to CIU: 13708\nHYD to KUA: 3220\nHYD to EGE: 14829\nWNA to YTH: 5548\nWNA to CIU: 5997\nWNA to KUA: 16162\nWNA to EGE: 4707\nCIU to YTH: 2595\nCIU to KUA: 15719\nCIU to EGE: 2451\nEGE to YTH: 2109\nEGE to KUA: 14996\nYTH to KUA: 15405\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47755,
"style": "rule"
}
|
{
"exact_answer": 47755,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LFT\", \"id\": 0}, {\"name\": \"ODS\", \"id\": 1}, {\"name\": \"CEC\", \"id\": 2}, {\"name\": \"HYD\", \"id\": 3}, {\"name\": \"WNA\", \"id\": 4}, {\"name\": \"CIU\", \"id\": 5}, {\"name\": \"EGE\", \"id\": 6}, {\"name\": \"YTH\", \"id\": 7}, {\"name\": \"KUA\", \"id\": 8}], \"links\": [{\"weight\": 6110, \"source\": 0, \"target\": 4}, {\"weight\": 3227, \"source\": 0, \"target\": 7}, {\"weight\": 14907, \"source\": 0, \"target\": 3}, {\"weight\": 9818, \"source\": 0, \"target\": 1}, {\"weight\": 2222, \"source\": 0, \"target\": 5}, {\"weight\": 16365, \"source\": 0, \"target\": 8}, {\"weight\": 3283, \"source\": 0, \"target\": 2}, {\"weight\": 1789, \"source\": 0, \"target\": 6}, {\"weight\": 12539, \"source\": 1, \"target\": 4}, {\"weight\": 10013, \"source\": 1, \"target\": 7}, {\"weight\": 5742, \"source\": 1, \"target\": 3}, {\"weight\": 8682, \"source\": 1, \"target\": 5}, {\"weight\": 8954, \"source\": 1, \"target\": 8}, {\"weight\": 10909, \"source\": 1, \"target\": 2}, {\"weight\": 9671, \"source\": 1, \"target\": 6}, {\"weight\": 4318, \"source\": 2, \"target\": 4}, {\"weight\": 3796, \"source\": 2, \"target\": 7}, {\"weight\": 14765, \"source\": 2, \"target\": 3}, {\"weight\": 4108, \"source\": 2, \"target\": 5}, {\"weight\": 14327, \"source\": 2, \"target\": 8}, {\"weight\": 2073, \"source\": 2, \"target\": 6}, {\"weight\": 16437, \"source\": 3, \"target\": 4}, {\"weight\": 15057, \"source\": 3, \"target\": 7}, {\"weight\": 13708, \"source\": 3, \"target\": 5}, {\"weight\": 3220, \"source\": 3, \"target\": 8}, {\"weight\": 14829, \"source\": 3, \"target\": 6}, {\"weight\": 5548, \"source\": 4, \"target\": 7}, {\"weight\": 5997, \"source\": 4, \"target\": 5}, {\"weight\": 16162, \"source\": 4, \"target\": 8}, {\"weight\": 4707, \"source\": 4, \"target\": 6}, {\"weight\": 2595, \"source\": 5, \"target\": 7}, {\"weight\": 15719, \"source\": 5, \"target\": 8}, {\"weight\": 2451, \"source\": 5, \"target\": 6}, {\"weight\": 2109, \"source\": 6, \"target\": 7}, {\"weight\": 14996, \"source\": 6, \"target\": 8}, {\"weight\": 15405, \"source\": 7, \"target\": 8}]}",
"id": 1637,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFT, ODS, CEC, HYD, WNA, CIU, EGE, YTH, KUA\n- Travel distances (in kilometers) between each pair of airports:\nLFT to WNA: 6110\nLFT to YTH: 3227\nLFT to HYD: 14907\nLFT to ODS: 9818\nLFT to CIU: 2222\nLFT to KUA: 16365\nLFT to CEC: 3283\nLFT to EGE: 1789\nODS to WNA: 12539\nODS to YTH: 10013\nODS to HYD: 5742\nODS to CIU: 8682\nODS to KUA: 8954\nODS to CEC: 10909\nODS to EGE: 9671\nCEC to WNA: 4318\nCEC to YTH: 3796\nCEC to HYD: 14765\nCEC to CIU: 4108\nCEC to KUA: 14327\nCEC to EGE: 2073\nHYD to WNA: 16437\nHYD to YTH: 15057\nHYD to CIU: 13708\nHYD to KUA: 3220\nHYD to EGE: 14829\nWNA to YTH: 5548\nWNA to CIU: 5997\nWNA to KUA: 16162\nWNA to EGE: 4707\nCIU to YTH: 2595\nCIU to KUA: 15719\nCIU to EGE: 2451\nEGE to YTH: 2109\nEGE to KUA: 14996\nYTH to KUA: 15405\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: USU, MOL, OPS, VRC, HAV, YHP, CNY, HOF, PFO\n- Travel distances (in kilometers) between each pair of airports:\nUSU to OPS: 20476\nUSU to HAV: 15818\nUSU to VRC: 643\nUSU to PFO: 9837\nUSU to CNY: 12382\nUSU to MOL: 10348\nUSU to HOF: 7923\nUSU to YHP: 12865\nMOL to OPS: 11121\nMOL to HAV: 8215\nMOL to VRC: 10425\nMOL to PFO: 3592\nMOL to CNY: 8401\nMOL to HOF: 5511\nMOL to YHP: 7407\nOPS to HAV: 6312\nOPS to VRC: 20553\nOPS to PFO: 11663\nOPS to CNY: 9866\nOPS to HOF: 13209\nOPS to YHP: 9576\nVRC to HAV: 15895\nVRC to PFO: 9914\nVRC to CNY: 12459\nVRC to HOF: 8000\nVRC to YHP: 12942\nHAV to PFO: 10624\nHAV to CNY: 4031\nHAV to HOF: 12646\nHAV to YHP: 3769\nYHP to PFO: 10375\nYHP to CNY: 2577\nYHP to HOF: 12365\nCNY to PFO: 11363\nCNY to HOF: 13379\nHOF to PFO: 3710\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52106,
"style": "rule"
}
|
{
"exact_answer": 52106,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"USU\", \"id\": 0}, {\"name\": \"MOL\", \"id\": 1}, {\"name\": \"OPS\", \"id\": 2}, {\"name\": \"VRC\", \"id\": 3}, {\"name\": \"HAV\", \"id\": 4}, {\"name\": \"YHP\", \"id\": 5}, {\"name\": \"CNY\", \"id\": 6}, {\"name\": \"HOF\", \"id\": 7}, {\"name\": \"PFO\", \"id\": 8}], \"links\": [{\"weight\": 20476, \"source\": 0, \"target\": 2}, {\"weight\": 15818, \"source\": 0, \"target\": 4}, {\"weight\": 643, \"source\": 0, \"target\": 3}, {\"weight\": 9837, \"source\": 0, \"target\": 8}, {\"weight\": 12382, \"source\": 0, \"target\": 6}, {\"weight\": 10348, \"source\": 0, \"target\": 1}, {\"weight\": 7923, \"source\": 0, \"target\": 7}, {\"weight\": 12865, \"source\": 0, \"target\": 5}, {\"weight\": 11121, \"source\": 1, \"target\": 2}, {\"weight\": 8215, \"source\": 1, \"target\": 4}, {\"weight\": 10425, \"source\": 1, \"target\": 3}, {\"weight\": 3592, \"source\": 1, \"target\": 8}, {\"weight\": 8401, \"source\": 1, \"target\": 6}, {\"weight\": 5511, \"source\": 1, \"target\": 7}, {\"weight\": 7407, \"source\": 1, \"target\": 5}, {\"weight\": 6312, \"source\": 2, \"target\": 4}, {\"weight\": 20553, \"source\": 2, \"target\": 3}, {\"weight\": 11663, \"source\": 2, \"target\": 8}, {\"weight\": 9866, \"source\": 2, \"target\": 6}, {\"weight\": 13209, \"source\": 2, \"target\": 7}, {\"weight\": 9576, \"source\": 2, \"target\": 5}, {\"weight\": 15895, \"source\": 3, \"target\": 4}, {\"weight\": 9914, \"source\": 3, \"target\": 8}, {\"weight\": 12459, \"source\": 3, \"target\": 6}, {\"weight\": 8000, \"source\": 3, \"target\": 7}, {\"weight\": 12942, \"source\": 3, \"target\": 5}, {\"weight\": 10624, \"source\": 4, \"target\": 8}, {\"weight\": 4031, \"source\": 4, \"target\": 6}, {\"weight\": 12646, \"source\": 4, \"target\": 7}, {\"weight\": 3769, \"source\": 4, \"target\": 5}, {\"weight\": 10375, \"source\": 5, \"target\": 8}, {\"weight\": 2577, \"source\": 5, \"target\": 6}, {\"weight\": 12365, \"source\": 5, \"target\": 7}, {\"weight\": 11363, \"source\": 6, \"target\": 8}, {\"weight\": 13379, \"source\": 6, \"target\": 7}, {\"weight\": 3710, \"source\": 7, \"target\": 8}]}",
"id": 1638,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: USU, MOL, OPS, VRC, HAV, YHP, CNY, HOF, PFO\n- Travel distances (in kilometers) between each pair of airports:\nUSU to OPS: 20476\nUSU to HAV: 15818\nUSU to VRC: 643\nUSU to PFO: 9837\nUSU to CNY: 12382\nUSU to MOL: 10348\nUSU to HOF: 7923\nUSU to YHP: 12865\nMOL to OPS: 11121\nMOL to HAV: 8215\nMOL to VRC: 10425\nMOL to PFO: 3592\nMOL to CNY: 8401\nMOL to HOF: 5511\nMOL to YHP: 7407\nOPS to HAV: 6312\nOPS to VRC: 20553\nOPS to PFO: 11663\nOPS to CNY: 9866\nOPS to HOF: 13209\nOPS to YHP: 9576\nVRC to HAV: 15895\nVRC to PFO: 9914\nVRC to CNY: 12459\nVRC to HOF: 8000\nVRC to YHP: 12942\nHAV to PFO: 10624\nHAV to CNY: 4031\nHAV to HOF: 12646\nHAV to YHP: 3769\nYHP to PFO: 10375\nYHP to CNY: 2577\nYHP to HOF: 12365\nCNY to PFO: 11363\nCNY to HOF: 13379\nHOF to PFO: 3710\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MRE, SCQ, WAW, MZR, DWD, FOC, PMC, YQR\n- Travel distances (in kilometers) between each pair of airports:\nBZN to FOC: 10674\nBZN to MZR: 13609\nBZN to WAW: 9187\nBZN to PMC: 10657\nBZN to YQR: 2018\nBZN to MRE: 15334\nBZN to SCQ: 8930\nBZN to DWD: 12964\nMRE to FOC: 9961\nMRE to MZR: 5730\nMRE to WAW: 6812\nMRE to PMC: 13467\nMRE to YQR: 14977\nMRE to SCQ: 7997\nMRE to DWD: 3666\nSCQ to FOC: 10707\nSCQ to MZR: 6386\nSCQ to WAW: 2426\nSCQ to PMC: 11981\nSCQ to YQR: 8433\nSCQ to DWD: 5597\nWAW to FOC: 8392\nWAW to MZR: 4468\nWAW to PMC: 13904\nWAW to YQR: 8414\nWAW to DWD: 4041\nMZR to FOC: 5551\nMZR to PMC: 17223\nMZR to YQR: 12674\nMZR to DWD: 2699\nDWD to FOC: 7478\nDWD to PMC: 14704\nDWD to YQR: 12421\nFOC to PMC: 19723\nFOC to YQR: 10863\nPMC to YQR: 10972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56673,
"style": "rule"
}
|
{
"exact_answer": 56673,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BZN\", \"id\": 0}, {\"name\": \"MRE\", \"id\": 1}, {\"name\": \"SCQ\", \"id\": 2}, {\"name\": \"WAW\", \"id\": 3}, {\"name\": \"MZR\", \"id\": 4}, {\"name\": \"DWD\", \"id\": 5}, {\"name\": \"FOC\", \"id\": 6}, {\"name\": \"PMC\", \"id\": 7}, {\"name\": \"YQR\", \"id\": 8}], \"links\": [{\"weight\": 10674, \"source\": 0, \"target\": 6}, {\"weight\": 13609, \"source\": 0, \"target\": 4}, {\"weight\": 9187, \"source\": 0, \"target\": 3}, {\"weight\": 10657, \"source\": 0, \"target\": 7}, {\"weight\": 2018, \"source\": 0, \"target\": 8}, {\"weight\": 15334, \"source\": 0, \"target\": 1}, {\"weight\": 8930, \"source\": 0, \"target\": 2}, {\"weight\": 12964, \"source\": 0, \"target\": 5}, {\"weight\": 9961, \"source\": 1, \"target\": 6}, {\"weight\": 5730, \"source\": 1, \"target\": 4}, {\"weight\": 6812, \"source\": 1, \"target\": 3}, {\"weight\": 13467, \"source\": 1, \"target\": 7}, {\"weight\": 14977, \"source\": 1, \"target\": 8}, {\"weight\": 7997, \"source\": 1, \"target\": 2}, {\"weight\": 3666, \"source\": 1, \"target\": 5}, {\"weight\": 10707, \"source\": 2, \"target\": 6}, {\"weight\": 6386, \"source\": 2, \"target\": 4}, {\"weight\": 2426, \"source\": 2, \"target\": 3}, {\"weight\": 11981, \"source\": 2, \"target\": 7}, {\"weight\": 8433, \"source\": 2, \"target\": 8}, {\"weight\": 5597, \"source\": 2, \"target\": 5}, {\"weight\": 8392, \"source\": 3, \"target\": 6}, {\"weight\": 4468, \"source\": 3, \"target\": 4}, {\"weight\": 13904, \"source\": 3, \"target\": 7}, {\"weight\": 8414, \"source\": 3, \"target\": 8}, {\"weight\": 4041, \"source\": 3, \"target\": 5}, {\"weight\": 5551, \"source\": 4, \"target\": 6}, {\"weight\": 17223, \"source\": 4, \"target\": 7}, {\"weight\": 12674, \"source\": 4, \"target\": 8}, {\"weight\": 2699, \"source\": 4, \"target\": 5}, {\"weight\": 7478, \"source\": 5, \"target\": 6}, {\"weight\": 14704, \"source\": 5, \"target\": 7}, {\"weight\": 12421, \"source\": 5, \"target\": 8}, {\"weight\": 19723, \"source\": 6, \"target\": 7}, {\"weight\": 10863, \"source\": 6, \"target\": 8}, {\"weight\": 10972, \"source\": 7, \"target\": 8}]}",
"id": 1639,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MRE, SCQ, WAW, MZR, DWD, FOC, PMC, YQR\n- Travel distances (in kilometers) between each pair of airports:\nBZN to FOC: 10674\nBZN to MZR: 13609\nBZN to WAW: 9187\nBZN to PMC: 10657\nBZN to YQR: 2018\nBZN to MRE: 15334\nBZN to SCQ: 8930\nBZN to DWD: 12964\nMRE to FOC: 9961\nMRE to MZR: 5730\nMRE to WAW: 6812\nMRE to PMC: 13467\nMRE to YQR: 14977\nMRE to SCQ: 7997\nMRE to DWD: 3666\nSCQ to FOC: 10707\nSCQ to MZR: 6386\nSCQ to WAW: 2426\nSCQ to PMC: 11981\nSCQ to YQR: 8433\nSCQ to DWD: 5597\nWAW to FOC: 8392\nWAW to MZR: 4468\nWAW to PMC: 13904\nWAW to YQR: 8414\nWAW to DWD: 4041\nMZR to FOC: 5551\nMZR to PMC: 17223\nMZR to YQR: 12674\nMZR to DWD: 2699\nDWD to FOC: 7478\nDWD to PMC: 14704\nDWD to YQR: 12421\nFOC to PMC: 19723\nFOC to YQR: 10863\nPMC to YQR: 10972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XNA, DMK, LRR, CYZ, CTS, KRN, CLE, BTH, TAS\n- Travel distances (in kilometers) between each pair of airports:\nXNA to CYZ: 13510\nXNA to CLE: 1302\nXNA to CTS: 11069\nXNA to DMK: 14579\nXNA to TAS: 11730\nXNA to KRN: 8609\nXNA to LRR: 12417\nXNA to BTH: 16028\nDMK to CYZ: 2386\nDMK to CLE: 14113\nDMK to CTS: 5076\nDMK to TAS: 4500\nDMK to KRN: 9418\nDMK to LRR: 5261\nDMK to BTH: 1599\nLRR to CYZ: 7368\nLRR to CLE: 11272\nLRR to CTS: 8216\nLRR to TAS: 2461\nLRR to KRN: 5806\nLRR to BTH: 6234\nCYZ to CLE: 13592\nCYZ to CTS: 3894\nCYZ to TAS: 6113\nCYZ to KRN: 10444\nCYZ to BTH: 2872\nCTS to CLE: 11212\nCTS to TAS: 6048\nCTS to KRN: 9047\nCTS to BTH: 6412\nKRN to CLE: 7537\nKRN to TAS: 4951\nKRN to BTH: 10639\nCLE to TAS: 10587\nCLE to BTH: 15675\nBTH to TAS: 5876\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 40946,
"style": "rule"
}
|
{
"exact_answer": 40946,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XNA\", \"id\": 0}, {\"name\": \"DMK\", \"id\": 1}, {\"name\": \"LRR\", \"id\": 2}, {\"name\": \"CYZ\", \"id\": 3}, {\"name\": \"CTS\", \"id\": 4}, {\"name\": \"KRN\", \"id\": 5}, {\"name\": \"CLE\", \"id\": 6}, {\"name\": \"BTH\", \"id\": 7}, {\"name\": \"TAS\", \"id\": 8}], \"links\": [{\"weight\": 13510, \"source\": 0, \"target\": 3}, {\"weight\": 1302, \"source\": 0, \"target\": 6}, {\"weight\": 11069, \"source\": 0, \"target\": 4}, {\"weight\": 14579, \"source\": 0, \"target\": 1}, {\"weight\": 11730, \"source\": 0, \"target\": 8}, {\"weight\": 8609, \"source\": 0, \"target\": 5}, {\"weight\": 12417, \"source\": 0, \"target\": 2}, {\"weight\": 16028, \"source\": 0, \"target\": 7}, {\"weight\": 2386, \"source\": 1, \"target\": 3}, {\"weight\": 14113, \"source\": 1, \"target\": 6}, {\"weight\": 5076, \"source\": 1, \"target\": 4}, {\"weight\": 4500, \"source\": 1, \"target\": 8}, {\"weight\": 9418, \"source\": 1, \"target\": 5}, {\"weight\": 5261, \"source\": 1, \"target\": 2}, {\"weight\": 1599, \"source\": 1, \"target\": 7}, {\"weight\": 7368, \"source\": 2, \"target\": 3}, {\"weight\": 11272, \"source\": 2, \"target\": 6}, {\"weight\": 8216, \"source\": 2, \"target\": 4}, {\"weight\": 2461, \"source\": 2, \"target\": 8}, {\"weight\": 5806, \"source\": 2, \"target\": 5}, {\"weight\": 6234, \"source\": 2, \"target\": 7}, {\"weight\": 13592, \"source\": 3, \"target\": 6}, {\"weight\": 3894, \"source\": 3, \"target\": 4}, {\"weight\": 6113, \"source\": 3, \"target\": 8}, {\"weight\": 10444, \"source\": 3, \"target\": 5}, {\"weight\": 2872, \"source\": 3, \"target\": 7}, {\"weight\": 11212, \"source\": 4, \"target\": 6}, {\"weight\": 6048, \"source\": 4, \"target\": 8}, {\"weight\": 9047, \"source\": 4, \"target\": 5}, {\"weight\": 6412, \"source\": 4, \"target\": 7}, {\"weight\": 7537, \"source\": 5, \"target\": 6}, {\"weight\": 4951, \"source\": 5, \"target\": 8}, {\"weight\": 10639, \"source\": 5, \"target\": 7}, {\"weight\": 10587, \"source\": 6, \"target\": 8}, {\"weight\": 15675, \"source\": 6, \"target\": 7}, {\"weight\": 5876, \"source\": 7, \"target\": 8}]}",
"id": 1640,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: XNA, DMK, LRR, CYZ, CTS, KRN, CLE, BTH, TAS\n- Travel distances (in kilometers) between each pair of airports:\nXNA to CYZ: 13510\nXNA to CLE: 1302\nXNA to CTS: 11069\nXNA to DMK: 14579\nXNA to TAS: 11730\nXNA to KRN: 8609\nXNA to LRR: 12417\nXNA to BTH: 16028\nDMK to CYZ: 2386\nDMK to CLE: 14113\nDMK to CTS: 5076\nDMK to TAS: 4500\nDMK to KRN: 9418\nDMK to LRR: 5261\nDMK to BTH: 1599\nLRR to CYZ: 7368\nLRR to CLE: 11272\nLRR to CTS: 8216\nLRR to TAS: 2461\nLRR to KRN: 5806\nLRR to BTH: 6234\nCYZ to CLE: 13592\nCYZ to CTS: 3894\nCYZ to TAS: 6113\nCYZ to KRN: 10444\nCYZ to BTH: 2872\nCTS to CLE: 11212\nCTS to TAS: 6048\nCTS to KRN: 9047\nCTS to BTH: 6412\nKRN to CLE: 7537\nKRN to TAS: 4951\nKRN to BTH: 10639\nCLE to TAS: 10587\nCLE to BTH: 15675\nBTH to TAS: 5876\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LET, MIS, LUK, AGR, YIE, LZO, RKV, NYI, LGG\n- Travel distances (in kilometers) between each pair of airports:\nLET to LGG: 10194\nLET to AGR: 17488\nLET to LZO: 17629\nLET to MIS: 19604\nLET to YIE: 17391\nLET to RKV: 12060\nLET to NYI: 11502\nLET to LUK: 5102\nMIS to LGG: 15562\nMIS to AGR: 9478\nMIS to LZO: 6830\nMIS to YIE: 8585\nMIS to RKV: 18775\nMIS to NYI: 17825\nMIS to LUK: 16132\nLUK to LGG: 7826\nLUK to AGR: 13974\nLUK to LZO: 13035\nLUK to YIE: 12797\nLUK to RKV: 8117\nLUK to NYI: 9905\nAGR to LGG: 8020\nAGR to LZO: 3135\nAGR to YIE: 4695\nAGR to RKV: 11685\nAGR to NYI: 9405\nYIE to LGG: 9453\nYIE to LZO: 2420\nYIE to RKV: 12855\nYIE to NYI: 12693\nLZO to LGG: 9272\nLZO to RKV: 12375\nLZO to NYI: 11844\nRKV to LGG: 5848\nRKV to NYI: 10060\nNYI to LGG: 5391\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67412,
"style": "rule"
}
|
{
"exact_answer": 67412,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LET\", \"id\": 0}, {\"name\": \"MIS\", \"id\": 1}, {\"name\": \"LUK\", \"id\": 2}, {\"name\": \"AGR\", \"id\": 3}, {\"name\": \"YIE\", \"id\": 4}, {\"name\": \"LZO\", \"id\": 5}, {\"name\": \"RKV\", \"id\": 6}, {\"name\": \"NYI\", \"id\": 7}, {\"name\": \"LGG\", \"id\": 8}], \"links\": [{\"weight\": 10194, \"source\": 0, \"target\": 8}, {\"weight\": 17488, \"source\": 0, \"target\": 3}, {\"weight\": 17629, \"source\": 0, \"target\": 5}, {\"weight\": 19604, \"source\": 0, \"target\": 1}, {\"weight\": 17391, \"source\": 0, \"target\": 4}, {\"weight\": 12060, \"source\": 0, \"target\": 6}, {\"weight\": 11502, \"source\": 0, \"target\": 7}, {\"weight\": 5102, \"source\": 0, \"target\": 2}, {\"weight\": 15562, \"source\": 1, \"target\": 8}, {\"weight\": 9478, \"source\": 1, \"target\": 3}, {\"weight\": 6830, \"source\": 1, \"target\": 5}, {\"weight\": 8585, \"source\": 1, \"target\": 4}, {\"weight\": 18775, \"source\": 1, \"target\": 6}, {\"weight\": 17825, \"source\": 1, \"target\": 7}, {\"weight\": 16132, \"source\": 1, \"target\": 2}, {\"weight\": 7826, \"source\": 2, \"target\": 8}, {\"weight\": 13974, \"source\": 2, \"target\": 3}, {\"weight\": 13035, \"source\": 2, \"target\": 5}, {\"weight\": 12797, \"source\": 2, \"target\": 4}, {\"weight\": 8117, \"source\": 2, \"target\": 6}, {\"weight\": 9905, \"source\": 2, \"target\": 7}, {\"weight\": 8020, \"source\": 3, \"target\": 8}, {\"weight\": 3135, \"source\": 3, \"target\": 5}, {\"weight\": 4695, \"source\": 3, \"target\": 4}, {\"weight\": 11685, \"source\": 3, \"target\": 6}, {\"weight\": 9405, \"source\": 3, \"target\": 7}, {\"weight\": 9453, \"source\": 4, \"target\": 8}, {\"weight\": 2420, \"source\": 4, \"target\": 5}, {\"weight\": 12855, \"source\": 4, \"target\": 6}, {\"weight\": 12693, \"source\": 4, \"target\": 7}, {\"weight\": 9272, \"source\": 5, \"target\": 8}, {\"weight\": 12375, \"source\": 5, \"target\": 6}, {\"weight\": 11844, \"source\": 5, \"target\": 7}, {\"weight\": 5848, \"source\": 6, \"target\": 8}, {\"weight\": 10060, \"source\": 6, \"target\": 7}, {\"weight\": 5391, \"source\": 7, \"target\": 8}]}",
"id": 1641,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LET, MIS, LUK, AGR, YIE, LZO, RKV, NYI, LGG\n- Travel distances (in kilometers) between each pair of airports:\nLET to LGG: 10194\nLET to AGR: 17488\nLET to LZO: 17629\nLET to MIS: 19604\nLET to YIE: 17391\nLET to RKV: 12060\nLET to NYI: 11502\nLET to LUK: 5102\nMIS to LGG: 15562\nMIS to AGR: 9478\nMIS to LZO: 6830\nMIS to YIE: 8585\nMIS to RKV: 18775\nMIS to NYI: 17825\nMIS to LUK: 16132\nLUK to LGG: 7826\nLUK to AGR: 13974\nLUK to LZO: 13035\nLUK to YIE: 12797\nLUK to RKV: 8117\nLUK to NYI: 9905\nAGR to LGG: 8020\nAGR to LZO: 3135\nAGR to YIE: 4695\nAGR to RKV: 11685\nAGR to NYI: 9405\nYIE to LGG: 9453\nYIE to LZO: 2420\nYIE to RKV: 12855\nYIE to NYI: 12693\nLZO to LGG: 9272\nLZO to RKV: 12375\nLZO to NYI: 11844\nRKV to LGG: 5848\nRKV to NYI: 10060\nNYI to LGG: 5391\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AUQ, ASF, ELV, HMV, BTI, LNE, OME, NAW, CLD\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to ASF: 18726\nAUQ to HMV: 17617\nAUQ to BTI: 11371\nAUQ to OME: 11188\nAUQ to NAW: 15822\nAUQ to ELV: 11146\nAUQ to LNE: 6798\nAUQ to CLD: 8183\nASF to HMV: 3231\nASF to BTI: 13517\nASF to OME: 13616\nASF to NAW: 7294\nASF to ELV: 11992\nASF to LNE: 14512\nASF to CLD: 11198\nELV to HMV: 10227\nELV to BTI: 2067\nELV to OME: 1884\nELV to NAW: 14388\nELV to LNE: 11770\nELV to CLD: 3239\nHMV to BTI: 11752\nHMV to OME: 11851\nHMV to NAW: 10043\nHMV to LNE: 16644\nHMV to CLD: 9710\nBTI to OME: 1549\nBTI to NAW: 15913\nBTI to LNE: 11797\nBTI to CLD: 4764\nLNE to OME: 11614\nLNE to NAW: 9862\nLNE to CLD: 10199\nOME to NAW: 16012\nOME to CLD: 4772\nNAW to CLD: 14252\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53792,
"style": "rule"
}
|
{
"exact_answer": 53792,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AUQ\", \"id\": 0}, {\"name\": \"ASF\", \"id\": 1}, {\"name\": \"ELV\", \"id\": 2}, {\"name\": \"HMV\", \"id\": 3}, {\"name\": \"BTI\", \"id\": 4}, {\"name\": \"LNE\", \"id\": 5}, {\"name\": \"OME\", \"id\": 6}, {\"name\": \"NAW\", \"id\": 7}, {\"name\": \"CLD\", \"id\": 8}], \"links\": [{\"weight\": 18726, \"source\": 0, \"target\": 1}, {\"weight\": 17617, \"source\": 0, \"target\": 3}, {\"weight\": 11371, \"source\": 0, \"target\": 4}, {\"weight\": 11188, \"source\": 0, \"target\": 6}, {\"weight\": 15822, \"source\": 0, \"target\": 7}, {\"weight\": 11146, \"source\": 0, \"target\": 2}, {\"weight\": 6798, \"source\": 0, \"target\": 5}, {\"weight\": 8183, \"source\": 0, \"target\": 8}, {\"weight\": 3231, \"source\": 1, \"target\": 3}, {\"weight\": 13517, \"source\": 1, \"target\": 4}, {\"weight\": 13616, \"source\": 1, \"target\": 6}, {\"weight\": 7294, \"source\": 1, \"target\": 7}, {\"weight\": 11992, \"source\": 1, \"target\": 2}, {\"weight\": 14512, \"source\": 1, \"target\": 5}, {\"weight\": 11198, \"source\": 1, \"target\": 8}, {\"weight\": 10227, \"source\": 2, \"target\": 3}, {\"weight\": 2067, \"source\": 2, \"target\": 4}, {\"weight\": 1884, \"source\": 2, \"target\": 6}, {\"weight\": 14388, \"source\": 2, \"target\": 7}, {\"weight\": 11770, \"source\": 2, \"target\": 5}, {\"weight\": 3239, \"source\": 2, \"target\": 8}, {\"weight\": 11752, \"source\": 3, \"target\": 4}, {\"weight\": 11851, \"source\": 3, \"target\": 6}, {\"weight\": 10043, \"source\": 3, \"target\": 7}, {\"weight\": 16644, \"source\": 3, \"target\": 5}, {\"weight\": 9710, \"source\": 3, \"target\": 8}, {\"weight\": 1549, \"source\": 4, \"target\": 6}, {\"weight\": 15913, \"source\": 4, \"target\": 7}, {\"weight\": 11797, \"source\": 4, \"target\": 5}, {\"weight\": 4764, \"source\": 4, \"target\": 8}, {\"weight\": 11614, \"source\": 5, \"target\": 6}, {\"weight\": 9862, \"source\": 5, \"target\": 7}, {\"weight\": 10199, \"source\": 5, \"target\": 8}, {\"weight\": 16012, \"source\": 6, \"target\": 7}, {\"weight\": 4772, \"source\": 6, \"target\": 8}, {\"weight\": 14252, \"source\": 7, \"target\": 8}]}",
"id": 1642,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AUQ, ASF, ELV, HMV, BTI, LNE, OME, NAW, CLD\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to ASF: 18726\nAUQ to HMV: 17617\nAUQ to BTI: 11371\nAUQ to OME: 11188\nAUQ to NAW: 15822\nAUQ to ELV: 11146\nAUQ to LNE: 6798\nAUQ to CLD: 8183\nASF to HMV: 3231\nASF to BTI: 13517\nASF to OME: 13616\nASF to NAW: 7294\nASF to ELV: 11992\nASF to LNE: 14512\nASF to CLD: 11198\nELV to HMV: 10227\nELV to BTI: 2067\nELV to OME: 1884\nELV to NAW: 14388\nELV to LNE: 11770\nELV to CLD: 3239\nHMV to BTI: 11752\nHMV to OME: 11851\nHMV to NAW: 10043\nHMV to LNE: 16644\nHMV to CLD: 9710\nBTI to OME: 1549\nBTI to NAW: 15913\nBTI to LNE: 11797\nBTI to CLD: 4764\nLNE to OME: 11614\nLNE to NAW: 9862\nLNE to CLD: 10199\nOME to NAW: 16012\nOME to CLD: 4772\nNAW to CLD: 14252\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NUS, QRW, HOD, BBI, CRD, BOJ, GDV, RIB, ASM\n- Travel distances (in kilometers) between each pair of airports:\nNUS to BBI: 10950\nNUS to CRD: 13734\nNUS to GDV: 11876\nNUS to RIB: 14857\nNUS to BOJ: 16676\nNUS to HOD: 14968\nNUS to ASM: 15382\nNUS to QRW: 18530\nQRW to BBI: 8931\nQRW to CRD: 9767\nQRW to GDV: 11912\nQRW to RIB: 9581\nQRW to BOJ: 5336\nQRW to HOD: 4662\nQRW to ASM: 3938\nHOD to BBI: 4581\nHOD to CRD: 14173\nHOD to GDV: 13569\nHOD to RIB: 13995\nHOD to BOJ: 4004\nHOD to ASM: 726\nBBI to CRD: 18274\nBBI to GDV: 14037\nBBI to RIB: 18096\nBBI to BOJ: 6653\nBBI to ASM: 4995\nCRD to GDV: 11592\nCRD to RIB: 4403\nCRD to BOJ: 13847\nCRD to ASM: 13499\nBOJ to GDV: 10268\nBOJ to RIB: 12582\nBOJ to ASM: 3792\nGDV to RIB: 9306\nGDV to ASM: 13309\nRIB to ASM: 13313\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60737,
"style": "rule"
}
|
{
"exact_answer": 60737,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NUS\", \"id\": 0}, {\"name\": \"QRW\", \"id\": 1}, {\"name\": \"HOD\", \"id\": 2}, {\"name\": \"BBI\", \"id\": 3}, {\"name\": \"CRD\", \"id\": 4}, {\"name\": \"BOJ\", \"id\": 5}, {\"name\": \"GDV\", \"id\": 6}, {\"name\": \"RIB\", \"id\": 7}, {\"name\": \"ASM\", \"id\": 8}], \"links\": [{\"weight\": 10950, \"source\": 0, \"target\": 3}, {\"weight\": 13734, \"source\": 0, \"target\": 4}, {\"weight\": 11876, \"source\": 0, \"target\": 6}, {\"weight\": 14857, \"source\": 0, \"target\": 7}, {\"weight\": 16676, \"source\": 0, \"target\": 5}, {\"weight\": 14968, \"source\": 0, \"target\": 2}, {\"weight\": 15382, \"source\": 0, \"target\": 8}, {\"weight\": 18530, \"source\": 0, \"target\": 1}, {\"weight\": 8931, \"source\": 1, \"target\": 3}, {\"weight\": 9767, \"source\": 1, \"target\": 4}, {\"weight\": 11912, \"source\": 1, \"target\": 6}, {\"weight\": 9581, \"source\": 1, \"target\": 7}, {\"weight\": 5336, \"source\": 1, \"target\": 5}, {\"weight\": 4662, \"source\": 1, \"target\": 2}, {\"weight\": 3938, \"source\": 1, \"target\": 8}, {\"weight\": 4581, \"source\": 2, \"target\": 3}, {\"weight\": 14173, \"source\": 2, \"target\": 4}, {\"weight\": 13569, \"source\": 2, \"target\": 6}, {\"weight\": 13995, \"source\": 2, \"target\": 7}, {\"weight\": 4004, \"source\": 2, \"target\": 5}, {\"weight\": 726, \"source\": 2, \"target\": 8}, {\"weight\": 18274, \"source\": 3, \"target\": 4}, {\"weight\": 14037, \"source\": 3, \"target\": 6}, {\"weight\": 18096, \"source\": 3, \"target\": 7}, {\"weight\": 6653, \"source\": 3, \"target\": 5}, {\"weight\": 4995, \"source\": 3, \"target\": 8}, {\"weight\": 11592, \"source\": 4, \"target\": 6}, {\"weight\": 4403, \"source\": 4, \"target\": 7}, {\"weight\": 13847, \"source\": 4, \"target\": 5}, {\"weight\": 13499, \"source\": 4, \"target\": 8}, {\"weight\": 10268, \"source\": 5, \"target\": 6}, {\"weight\": 12582, \"source\": 5, \"target\": 7}, {\"weight\": 3792, \"source\": 5, \"target\": 8}, {\"weight\": 9306, \"source\": 6, \"target\": 7}, {\"weight\": 13309, \"source\": 6, \"target\": 8}, {\"weight\": 13313, \"source\": 7, \"target\": 8}]}",
"id": 1643,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NUS, QRW, HOD, BBI, CRD, BOJ, GDV, RIB, ASM\n- Travel distances (in kilometers) between each pair of airports:\nNUS to BBI: 10950\nNUS to CRD: 13734\nNUS to GDV: 11876\nNUS to RIB: 14857\nNUS to BOJ: 16676\nNUS to HOD: 14968\nNUS to ASM: 15382\nNUS to QRW: 18530\nQRW to BBI: 8931\nQRW to CRD: 9767\nQRW to GDV: 11912\nQRW to RIB: 9581\nQRW to BOJ: 5336\nQRW to HOD: 4662\nQRW to ASM: 3938\nHOD to BBI: 4581\nHOD to CRD: 14173\nHOD to GDV: 13569\nHOD to RIB: 13995\nHOD to BOJ: 4004\nHOD to ASM: 726\nBBI to CRD: 18274\nBBI to GDV: 14037\nBBI to RIB: 18096\nBBI to BOJ: 6653\nBBI to ASM: 4995\nCRD to GDV: 11592\nCRD to RIB: 4403\nCRD to BOJ: 13847\nCRD to ASM: 13499\nBOJ to GDV: 10268\nBOJ to RIB: 12582\nBOJ to ASM: 3792\nGDV to RIB: 9306\nGDV to ASM: 13309\nRIB to ASM: 13313\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYD, ROB, BOM, FUO, NAT, YAY, UEO, RYK, GCM\n- Travel distances (in kilometers) between each pair of airports:\nSYD to ROB: 16825\nSYD to BOM: 10208\nSYD to GCM: 16012\nSYD to NAT: 16184\nSYD to FUO: 10879\nSYD to UEO: 8033\nSYD to YAY: 17540\nSYD to RYK: 11379\nROB to BOM: 9182\nROB to GCM: 9834\nROB to NAT: 4907\nROB to FUO: 14839\nROB to UEO: 14701\nROB to YAY: 9187\nROB to RYK: 8934\nBOM to GCM: 14942\nBOM to NAT: 13280\nBOM to FUO: 6694\nBOM to UEO: 5750\nBOM to YAY: 11411\nBOM to RYK: 1370\nFUO to GCM: 15559\nFUO to NAT: 17580\nFUO to UEO: 3900\nFUO to YAY: 14652\nFUO to RYK: 6786\nNAT to GCM: 5874\nNAT to UEO: 17254\nNAT to YAY: 8974\nNAT to RYK: 13038\nYAY to GCM: 4473\nYAY to UEO: 13984\nYAY to RYK: 11033\nUEO to GCM: 14215\nUEO to RYK: 6065\nRYK to GCM: 14357\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61725,
"style": "rule"
}
|
{
"exact_answer": 61725,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SYD\", \"id\": 0}, {\"name\": \"ROB\", \"id\": 1}, {\"name\": \"BOM\", \"id\": 2}, {\"name\": \"FUO\", \"id\": 3}, {\"name\": \"NAT\", \"id\": 4}, {\"name\": \"YAY\", \"id\": 5}, {\"name\": \"UEO\", \"id\": 6}, {\"name\": \"RYK\", \"id\": 7}, {\"name\": \"GCM\", \"id\": 8}], \"links\": [{\"weight\": 16825, \"source\": 0, \"target\": 1}, {\"weight\": 10208, \"source\": 0, \"target\": 2}, {\"weight\": 16012, \"source\": 0, \"target\": 8}, {\"weight\": 16184, \"source\": 0, \"target\": 4}, {\"weight\": 10879, \"source\": 0, \"target\": 3}, {\"weight\": 8033, \"source\": 0, \"target\": 6}, {\"weight\": 17540, \"source\": 0, \"target\": 5}, {\"weight\": 11379, \"source\": 0, \"target\": 7}, {\"weight\": 9182, \"source\": 1, \"target\": 2}, {\"weight\": 9834, \"source\": 1, \"target\": 8}, {\"weight\": 4907, \"source\": 1, \"target\": 4}, {\"weight\": 14839, \"source\": 1, \"target\": 3}, {\"weight\": 14701, \"source\": 1, \"target\": 6}, {\"weight\": 9187, \"source\": 1, \"target\": 5}, {\"weight\": 8934, \"source\": 1, \"target\": 7}, {\"weight\": 14942, \"source\": 2, \"target\": 8}, {\"weight\": 13280, \"source\": 2, \"target\": 4}, {\"weight\": 6694, \"source\": 2, \"target\": 3}, {\"weight\": 5750, \"source\": 2, \"target\": 6}, {\"weight\": 11411, \"source\": 2, \"target\": 5}, {\"weight\": 1370, \"source\": 2, \"target\": 7}, {\"weight\": 15559, \"source\": 3, \"target\": 8}, {\"weight\": 17580, \"source\": 3, \"target\": 4}, {\"weight\": 3900, \"source\": 3, \"target\": 6}, {\"weight\": 14652, \"source\": 3, \"target\": 5}, {\"weight\": 6786, \"source\": 3, \"target\": 7}, {\"weight\": 5874, \"source\": 4, \"target\": 8}, {\"weight\": 17254, \"source\": 4, \"target\": 6}, {\"weight\": 8974, \"source\": 4, \"target\": 5}, {\"weight\": 13038, \"source\": 4, \"target\": 7}, {\"weight\": 4473, \"source\": 5, \"target\": 8}, {\"weight\": 13984, \"source\": 5, \"target\": 6}, {\"weight\": 11033, \"source\": 5, \"target\": 7}, {\"weight\": 14215, \"source\": 6, \"target\": 8}, {\"weight\": 6065, \"source\": 6, \"target\": 7}, {\"weight\": 14357, \"source\": 7, \"target\": 8}]}",
"id": 1644,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYD, ROB, BOM, FUO, NAT, YAY, UEO, RYK, GCM\n- Travel distances (in kilometers) between each pair of airports:\nSYD to ROB: 16825\nSYD to BOM: 10208\nSYD to GCM: 16012\nSYD to NAT: 16184\nSYD to FUO: 10879\nSYD to UEO: 8033\nSYD to YAY: 17540\nSYD to RYK: 11379\nROB to BOM: 9182\nROB to GCM: 9834\nROB to NAT: 4907\nROB to FUO: 14839\nROB to UEO: 14701\nROB to YAY: 9187\nROB to RYK: 8934\nBOM to GCM: 14942\nBOM to NAT: 13280\nBOM to FUO: 6694\nBOM to UEO: 5750\nBOM to YAY: 11411\nBOM to RYK: 1370\nFUO to GCM: 15559\nFUO to NAT: 17580\nFUO to UEO: 3900\nFUO to YAY: 14652\nFUO to RYK: 6786\nNAT to GCM: 5874\nNAT to UEO: 17254\nNAT to YAY: 8974\nNAT to RYK: 13038\nYAY to GCM: 4473\nYAY to UEO: 13984\nYAY to RYK: 11033\nUEO to GCM: 14215\nUEO to RYK: 6065\nRYK to GCM: 14357\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VRA, ZLO, KOI, SLQ, TIU, LUH, DSK, SKX, FAI\n- Travel distances (in kilometers) between each pair of airports:\nVRA to ZLO: 2463\nVRA to FAI: 7376\nVRA to SLQ: 7791\nVRA to SKX: 10071\nVRA to LUH: 14171\nVRA to KOI: 7939\nVRA to TIU: 15416\nVRA to DSK: 13448\nZLO to FAI: 6138\nZLO to SLQ: 6547\nZLO to SKX: 11539\nZLO to LUH: 15310\nZLO to KOI: 9220\nZLO to TIU: 13548\nZLO to DSK: 14916\nKOI to FAI: 9974\nKOI to SLQ: 10474\nKOI to SKX: 3133\nKOI to LUH: 7233\nKOI to TIU: 19381\nKOI to DSK: 6510\nSLQ to FAI: 1054\nSLQ to SKX: 12609\nSLQ to LUH: 15725\nSLQ to TIU: 13119\nSLQ to DSK: 15926\nTIU to FAI: 12901\nTIU to SKX: 17492\nTIU to LUH: 13379\nTIU to DSK: 14134\nLUH to FAI: 15225\nLUH to SKX: 5070\nLUH to DSK: 1319\nDSK to FAI: 15426\nDSK to SKX: 4347\nSKX to FAI: 12109\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52891,
"style": "rule"
}
|
{
"exact_answer": 52891,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VRA\", \"id\": 0}, {\"name\": \"ZLO\", \"id\": 1}, {\"name\": \"KOI\", \"id\": 2}, {\"name\": \"SLQ\", \"id\": 3}, {\"name\": \"TIU\", \"id\": 4}, {\"name\": \"LUH\", \"id\": 5}, {\"name\": \"DSK\", \"id\": 6}, {\"name\": \"SKX\", \"id\": 7}, {\"name\": \"FAI\", \"id\": 8}], \"links\": [{\"weight\": 2463, \"source\": 0, \"target\": 1}, {\"weight\": 7376, \"source\": 0, \"target\": 8}, {\"weight\": 7791, \"source\": 0, \"target\": 3}, {\"weight\": 10071, \"source\": 0, \"target\": 7}, {\"weight\": 14171, \"source\": 0, \"target\": 5}, {\"weight\": 7939, \"source\": 0, \"target\": 2}, {\"weight\": 15416, \"source\": 0, \"target\": 4}, {\"weight\": 13448, \"source\": 0, \"target\": 6}, {\"weight\": 6138, \"source\": 1, \"target\": 8}, {\"weight\": 6547, \"source\": 1, \"target\": 3}, {\"weight\": 11539, \"source\": 1, \"target\": 7}, {\"weight\": 15310, \"source\": 1, \"target\": 5}, {\"weight\": 9220, \"source\": 1, \"target\": 2}, {\"weight\": 13548, \"source\": 1, \"target\": 4}, {\"weight\": 14916, \"source\": 1, \"target\": 6}, {\"weight\": 9974, \"source\": 2, \"target\": 8}, {\"weight\": 10474, \"source\": 2, \"target\": 3}, {\"weight\": 3133, \"source\": 2, \"target\": 7}, {\"weight\": 7233, \"source\": 2, \"target\": 5}, {\"weight\": 19381, \"source\": 2, \"target\": 4}, {\"weight\": 6510, \"source\": 2, \"target\": 6}, {\"weight\": 1054, \"source\": 3, \"target\": 8}, {\"weight\": 12609, \"source\": 3, \"target\": 7}, {\"weight\": 15725, \"source\": 3, \"target\": 5}, {\"weight\": 13119, \"source\": 3, \"target\": 4}, {\"weight\": 15926, \"source\": 3, \"target\": 6}, {\"weight\": 12901, \"source\": 4, \"target\": 8}, {\"weight\": 17492, \"source\": 4, \"target\": 7}, {\"weight\": 13379, \"source\": 4, \"target\": 5}, {\"weight\": 14134, \"source\": 4, \"target\": 6}, {\"weight\": 15225, \"source\": 5, \"target\": 8}, {\"weight\": 5070, \"source\": 5, \"target\": 7}, {\"weight\": 1319, \"source\": 5, \"target\": 6}, {\"weight\": 15426, \"source\": 6, \"target\": 8}, {\"weight\": 4347, \"source\": 6, \"target\": 7}, {\"weight\": 12109, \"source\": 7, \"target\": 8}]}",
"id": 1645,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VRA, ZLO, KOI, SLQ, TIU, LUH, DSK, SKX, FAI\n- Travel distances (in kilometers) between each pair of airports:\nVRA to ZLO: 2463\nVRA to FAI: 7376\nVRA to SLQ: 7791\nVRA to SKX: 10071\nVRA to LUH: 14171\nVRA to KOI: 7939\nVRA to TIU: 15416\nVRA to DSK: 13448\nZLO to FAI: 6138\nZLO to SLQ: 6547\nZLO to SKX: 11539\nZLO to LUH: 15310\nZLO to KOI: 9220\nZLO to TIU: 13548\nZLO to DSK: 14916\nKOI to FAI: 9974\nKOI to SLQ: 10474\nKOI to SKX: 3133\nKOI to LUH: 7233\nKOI to TIU: 19381\nKOI to DSK: 6510\nSLQ to FAI: 1054\nSLQ to SKX: 12609\nSLQ to LUH: 15725\nSLQ to TIU: 13119\nSLQ to DSK: 15926\nTIU to FAI: 12901\nTIU to SKX: 17492\nTIU to LUH: 13379\nTIU to DSK: 14134\nLUH to FAI: 15225\nLUH to SKX: 5070\nLUH to DSK: 1319\nDSK to FAI: 15426\nDSK to SKX: 4347\nSKX to FAI: 12109\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MGH, ILR, MCO, POL, EUN, BDL, SMS, YUY, BUD\n- Travel distances (in kilometers) between each pair of airports:\nMGH to YUY: 14273\nMGH to MCO: 14794\nMGH to BUD: 9015\nMGH to BDL: 13857\nMGH to EUN: 8838\nMGH to POL: 2507\nMGH to SMS: 3010\nMGH to ILR: 5432\nILR to YUY: 9643\nILR to MCO: 10786\nILR to BUD: 5436\nILR to BDL: 9552\nILR to EUN: 4353\nILR to POL: 5444\nILR to SMS: 6670\nMCO to BDL: 1692\nMCO to YUY: 2500\nMCO to BUD: 8452\nMCO to EUN: 7409\nMCO to POL: 14925\nMCO to SMS: 16151\nPOL to YUY: 13864\nPOL to BUD: 7078\nPOL to BDL: 13773\nPOL to EUN: 8743\nPOL to SMS: 2612\nEUN to YUY: 6504\nEUN to BUD: 3607\nEUN to BDL: 6367\nEUN to SMS: 9969\nBDL to YUY: 893\nBDL to BUD: 7072\nBDL to SMS: 14869\nSMS to YUY: 14960\nSMS to BUD: 8272\nYUY to BUD: 7163\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 39642,
"style": "rule"
}
|
{
"exact_answer": 39642,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MGH\", \"id\": 0}, {\"name\": \"ILR\", \"id\": 1}, {\"name\": \"MCO\", \"id\": 2}, {\"name\": \"POL\", \"id\": 3}, {\"name\": \"EUN\", \"id\": 4}, {\"name\": \"BDL\", \"id\": 5}, {\"name\": \"SMS\", \"id\": 6}, {\"name\": \"YUY\", \"id\": 7}, {\"name\": \"BUD\", \"id\": 8}], \"links\": [{\"weight\": 14273, \"source\": 0, \"target\": 7}, {\"weight\": 14794, \"source\": 0, \"target\": 2}, {\"weight\": 9015, \"source\": 0, \"target\": 8}, {\"weight\": 13857, \"source\": 0, \"target\": 5}, {\"weight\": 8838, \"source\": 0, \"target\": 4}, {\"weight\": 2507, \"source\": 0, \"target\": 3}, {\"weight\": 3010, \"source\": 0, \"target\": 6}, {\"weight\": 5432, \"source\": 0, \"target\": 1}, {\"weight\": 9643, \"source\": 1, \"target\": 7}, {\"weight\": 10786, \"source\": 1, \"target\": 2}, {\"weight\": 5436, \"source\": 1, \"target\": 8}, {\"weight\": 9552, \"source\": 1, \"target\": 5}, {\"weight\": 4353, \"source\": 1, \"target\": 4}, {\"weight\": 5444, \"source\": 1, \"target\": 3}, {\"weight\": 6670, \"source\": 1, \"target\": 6}, {\"weight\": 1692, \"source\": 2, \"target\": 5}, {\"weight\": 2500, \"source\": 2, \"target\": 7}, {\"weight\": 8452, \"source\": 2, \"target\": 8}, {\"weight\": 7409, \"source\": 2, \"target\": 4}, {\"weight\": 14925, \"source\": 2, \"target\": 3}, {\"weight\": 16151, \"source\": 2, \"target\": 6}, {\"weight\": 13864, \"source\": 3, \"target\": 7}, {\"weight\": 7078, \"source\": 3, \"target\": 8}, {\"weight\": 13773, \"source\": 3, \"target\": 5}, {\"weight\": 8743, \"source\": 3, \"target\": 4}, {\"weight\": 2612, \"source\": 3, \"target\": 6}, {\"weight\": 6504, \"source\": 4, \"target\": 7}, {\"weight\": 3607, \"source\": 4, \"target\": 8}, {\"weight\": 6367, \"source\": 4, \"target\": 5}, {\"weight\": 9969, \"source\": 4, \"target\": 6}, {\"weight\": 893, \"source\": 5, \"target\": 7}, {\"weight\": 7072, \"source\": 5, \"target\": 8}, {\"weight\": 14869, \"source\": 5, \"target\": 6}, {\"weight\": 14960, \"source\": 6, \"target\": 7}, {\"weight\": 8272, \"source\": 6, \"target\": 8}, {\"weight\": 7163, \"source\": 7, \"target\": 8}]}",
"id": 1646,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MGH, ILR, MCO, POL, EUN, BDL, SMS, YUY, BUD\n- Travel distances (in kilometers) between each pair of airports:\nMGH to YUY: 14273\nMGH to MCO: 14794\nMGH to BUD: 9015\nMGH to BDL: 13857\nMGH to EUN: 8838\nMGH to POL: 2507\nMGH to SMS: 3010\nMGH to ILR: 5432\nILR to YUY: 9643\nILR to MCO: 10786\nILR to BUD: 5436\nILR to BDL: 9552\nILR to EUN: 4353\nILR to POL: 5444\nILR to SMS: 6670\nMCO to BDL: 1692\nMCO to YUY: 2500\nMCO to BUD: 8452\nMCO to EUN: 7409\nMCO to POL: 14925\nMCO to SMS: 16151\nPOL to YUY: 13864\nPOL to BUD: 7078\nPOL to BDL: 13773\nPOL to EUN: 8743\nPOL to SMS: 2612\nEUN to YUY: 6504\nEUN to BUD: 3607\nEUN to BDL: 6367\nEUN to SMS: 9969\nBDL to YUY: 893\nBDL to BUD: 7072\nBDL to SMS: 14869\nSMS to YUY: 14960\nSMS to BUD: 8272\nYUY to BUD: 7163\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HBE, OGX, NLK, RES, TRZ, HAQ, CMW, KUT, ZLT\n- Travel distances (in kilometers) between each pair of airports:\nHBE to TRZ: 5813\nHBE to KUT: 2187\nHBE to OGX: 3122\nHBE to RES: 12921\nHBE to CMW: 11153\nHBE to NLK: 16030\nHBE to HAQ: 5837\nHBE to ZLT: 7794\nOGX to TRZ: 8857\nOGX to KUT: 4385\nOGX to RES: 11403\nOGX to CMW: 9251\nOGX to NLK: 19057\nOGX to HAQ: 8902\nOGX to ZLT: 6663\nNLK to TRZ: 10585\nNLK to KUT: 15122\nNLK to RES: 12682\nNLK to CMW: 15992\nNLK to HAQ: 11062\nNLK to ZLT: 16849\nRES to TRZ: 17106\nRES to KUT: 14604\nRES to CMW: 8293\nRES to HAQ: 17501\nRES to ZLT: 11485\nTRZ to KUT: 5354\nTRZ to CMW: 16199\nTRZ to HAQ: 1231\nTRZ to ZLT: 12955\nHAQ to KUT: 5605\nHAQ to CMW: 16702\nHAQ to ZLT: 13254\nCMW to KUT: 11257\nCMW to ZLT: 4000\nKUT to ZLT: 7804\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54368,
"style": "rule"
}
|
{
"exact_answer": 54368,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HBE\", \"id\": 0}, {\"name\": \"OGX\", \"id\": 1}, {\"name\": \"NLK\", \"id\": 2}, {\"name\": \"RES\", \"id\": 3}, {\"name\": \"TRZ\", \"id\": 4}, {\"name\": \"HAQ\", \"id\": 5}, {\"name\": \"CMW\", \"id\": 6}, {\"name\": \"KUT\", \"id\": 7}, {\"name\": \"ZLT\", \"id\": 8}], \"links\": [{\"weight\": 5813, \"source\": 0, \"target\": 4}, {\"weight\": 2187, \"source\": 0, \"target\": 7}, {\"weight\": 3122, \"source\": 0, \"target\": 1}, {\"weight\": 12921, \"source\": 0, \"target\": 3}, {\"weight\": 11153, \"source\": 0, \"target\": 6}, {\"weight\": 16030, \"source\": 0, \"target\": 2}, {\"weight\": 5837, \"source\": 0, \"target\": 5}, {\"weight\": 7794, \"source\": 0, \"target\": 8}, {\"weight\": 8857, \"source\": 1, \"target\": 4}, {\"weight\": 4385, \"source\": 1, \"target\": 7}, {\"weight\": 11403, \"source\": 1, \"target\": 3}, {\"weight\": 9251, \"source\": 1, \"target\": 6}, {\"weight\": 19057, \"source\": 1, \"target\": 2}, {\"weight\": 8902, \"source\": 1, \"target\": 5}, {\"weight\": 6663, \"source\": 1, \"target\": 8}, {\"weight\": 10585, \"source\": 2, \"target\": 4}, {\"weight\": 15122, \"source\": 2, \"target\": 7}, {\"weight\": 12682, \"source\": 2, \"target\": 3}, {\"weight\": 15992, \"source\": 2, \"target\": 6}, {\"weight\": 11062, \"source\": 2, \"target\": 5}, {\"weight\": 16849, \"source\": 2, \"target\": 8}, {\"weight\": 17106, \"source\": 3, \"target\": 4}, {\"weight\": 14604, \"source\": 3, \"target\": 7}, {\"weight\": 8293, \"source\": 3, \"target\": 6}, {\"weight\": 17501, \"source\": 3, \"target\": 5}, {\"weight\": 11485, \"source\": 3, \"target\": 8}, {\"weight\": 5354, \"source\": 4, \"target\": 7}, {\"weight\": 16199, \"source\": 4, \"target\": 6}, {\"weight\": 1231, \"source\": 4, \"target\": 5}, {\"weight\": 12955, \"source\": 4, \"target\": 8}, {\"weight\": 5605, \"source\": 5, \"target\": 7}, {\"weight\": 16702, \"source\": 5, \"target\": 6}, {\"weight\": 13254, \"source\": 5, \"target\": 8}, {\"weight\": 11257, \"source\": 6, \"target\": 7}, {\"weight\": 4000, \"source\": 6, \"target\": 8}, {\"weight\": 7804, \"source\": 7, \"target\": 8}]}",
"id": 1647,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HBE, OGX, NLK, RES, TRZ, HAQ, CMW, KUT, ZLT\n- Travel distances (in kilometers) between each pair of airports:\nHBE to TRZ: 5813\nHBE to KUT: 2187\nHBE to OGX: 3122\nHBE to RES: 12921\nHBE to CMW: 11153\nHBE to NLK: 16030\nHBE to HAQ: 5837\nHBE to ZLT: 7794\nOGX to TRZ: 8857\nOGX to KUT: 4385\nOGX to RES: 11403\nOGX to CMW: 9251\nOGX to NLK: 19057\nOGX to HAQ: 8902\nOGX to ZLT: 6663\nNLK to TRZ: 10585\nNLK to KUT: 15122\nNLK to RES: 12682\nNLK to CMW: 15992\nNLK to HAQ: 11062\nNLK to ZLT: 16849\nRES to TRZ: 17106\nRES to KUT: 14604\nRES to CMW: 8293\nRES to HAQ: 17501\nRES to ZLT: 11485\nTRZ to KUT: 5354\nTRZ to CMW: 16199\nTRZ to HAQ: 1231\nTRZ to ZLT: 12955\nHAQ to KUT: 5605\nHAQ to CMW: 16702\nHAQ to ZLT: 13254\nCMW to KUT: 11257\nCMW to ZLT: 4000\nKUT to ZLT: 7804\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABB, BES, LDS, CUQ, TFI, HAJ, RDU, JAL, AVA\n- Travel distances (in kilometers) between each pair of airports:\nABB to HAJ: 5160\nABB to BES: 5098\nABB to RDU: 9508\nABB to JAL: 12154\nABB to TFI: 16533\nABB to AVA: 11127\nABB to LDS: 12134\nABB to CUQ: 16828\nBES to HAJ: 1135\nBES to RDU: 6573\nBES to JAL: 9489\nBES to TFI: 15371\nBES to AVA: 9376\nBES to LDS: 9037\nBES to CUQ: 16091\nLDS to HAJ: 8004\nLDS to RDU: 12671\nLDS to JAL: 13423\nLDS to TFI: 7243\nLDS to AVA: 3133\nLDS to CUQ: 8023\nCUQ to HAJ: 14984\nCUQ to RDU: 16907\nCUQ to JAL: 16109\nCUQ to TFI: 1523\nCUQ to AVA: 6966\nTFI to HAJ: 14264\nTFI to RDU: 16107\nTFI to JAL: 15250\nTFI to AVA: 6246\nHAJ to RDU: 6855\nHAJ to JAL: 9768\nHAJ to AVA: 8262\nRDU to JAL: 2944\nRDU to AVA: 13286\nJAL to AVA: 14529\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53561,
"style": "rule"
}
|
{
"exact_answer": 53561,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ABB\", \"id\": 0}, {\"name\": \"BES\", \"id\": 1}, {\"name\": \"LDS\", \"id\": 2}, {\"name\": \"CUQ\", \"id\": 3}, {\"name\": \"TFI\", \"id\": 4}, {\"name\": \"HAJ\", \"id\": 5}, {\"name\": \"RDU\", \"id\": 6}, {\"name\": \"JAL\", \"id\": 7}, {\"name\": \"AVA\", \"id\": 8}], \"links\": [{\"weight\": 5160, \"source\": 0, \"target\": 5}, {\"weight\": 5098, \"source\": 0, \"target\": 1}, {\"weight\": 9508, \"source\": 0, \"target\": 6}, {\"weight\": 12154, \"source\": 0, \"target\": 7}, {\"weight\": 16533, \"source\": 0, \"target\": 4}, {\"weight\": 11127, \"source\": 0, \"target\": 8}, {\"weight\": 12134, \"source\": 0, \"target\": 2}, {\"weight\": 16828, \"source\": 0, \"target\": 3}, {\"weight\": 1135, \"source\": 1, \"target\": 5}, {\"weight\": 6573, \"source\": 1, \"target\": 6}, {\"weight\": 9489, \"source\": 1, \"target\": 7}, {\"weight\": 15371, \"source\": 1, \"target\": 4}, {\"weight\": 9376, \"source\": 1, \"target\": 8}, {\"weight\": 9037, \"source\": 1, \"target\": 2}, {\"weight\": 16091, \"source\": 1, \"target\": 3}, {\"weight\": 8004, \"source\": 2, \"target\": 5}, {\"weight\": 12671, \"source\": 2, \"target\": 6}, {\"weight\": 13423, \"source\": 2, \"target\": 7}, {\"weight\": 7243, \"source\": 2, \"target\": 4}, {\"weight\": 3133, \"source\": 2, \"target\": 8}, {\"weight\": 8023, \"source\": 2, \"target\": 3}, {\"weight\": 14984, \"source\": 3, \"target\": 5}, {\"weight\": 16907, \"source\": 3, \"target\": 6}, {\"weight\": 16109, \"source\": 3, \"target\": 7}, {\"weight\": 1523, \"source\": 3, \"target\": 4}, {\"weight\": 6966, \"source\": 3, \"target\": 8}, {\"weight\": 14264, \"source\": 4, \"target\": 5}, {\"weight\": 16107, \"source\": 4, \"target\": 6}, {\"weight\": 15250, \"source\": 4, \"target\": 7}, {\"weight\": 6246, \"source\": 4, \"target\": 8}, {\"weight\": 6855, \"source\": 5, \"target\": 6}, {\"weight\": 9768, \"source\": 5, \"target\": 7}, {\"weight\": 8262, \"source\": 5, \"target\": 8}, {\"weight\": 2944, \"source\": 6, \"target\": 7}, {\"weight\": 13286, \"source\": 6, \"target\": 8}, {\"weight\": 14529, \"source\": 7, \"target\": 8}]}",
"id": 1648,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ABB, BES, LDS, CUQ, TFI, HAJ, RDU, JAL, AVA\n- Travel distances (in kilometers) between each pair of airports:\nABB to HAJ: 5160\nABB to BES: 5098\nABB to RDU: 9508\nABB to JAL: 12154\nABB to TFI: 16533\nABB to AVA: 11127\nABB to LDS: 12134\nABB to CUQ: 16828\nBES to HAJ: 1135\nBES to RDU: 6573\nBES to JAL: 9489\nBES to TFI: 15371\nBES to AVA: 9376\nBES to LDS: 9037\nBES to CUQ: 16091\nLDS to HAJ: 8004\nLDS to RDU: 12671\nLDS to JAL: 13423\nLDS to TFI: 7243\nLDS to AVA: 3133\nLDS to CUQ: 8023\nCUQ to HAJ: 14984\nCUQ to RDU: 16907\nCUQ to JAL: 16109\nCUQ to TFI: 1523\nCUQ to AVA: 6966\nTFI to HAJ: 14264\nTFI to RDU: 16107\nTFI to JAL: 15250\nTFI to AVA: 6246\nHAJ to RDU: 6855\nHAJ to JAL: 9768\nHAJ to AVA: 8262\nRDU to JAL: 2944\nRDU to AVA: 13286\nJAL to AVA: 14529\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KVD, CEK, AXK, LUV, JLR, MNG, PVD, ACX\n- Travel distances (in kilometers) between each pair of airports:\nUKS to CEK: 2714\nUKS to PVD: 8500\nUKS to JLR: 5945\nUKS to ACX: 7876\nUKS to AXK: 5059\nUKS to LUV: 12783\nUKS to KVD: 2821\nUKS to MNG: 13002\nKVD to CEK: 2874\nKVD to PVD: 9557\nKVD to JLR: 3777\nKVD to ACX: 6238\nKVD to AXK: 3508\nKVD to LUV: 10653\nKVD to MNG: 10973\nCEK to PVD: 9084\nCEK to JLR: 3908\nCEK to ACX: 5462\nCEK to AXK: 5413\nCEK to LUV: 10526\nCEK to MNG: 10497\nAXK to PVD: 11677\nAXK to JLR: 4235\nAXK to ACX: 7190\nAXK to LUV: 10666\nAXK to MNG: 10988\nLUV to PVD: 17871\nLUV to JLR: 8177\nLUV to ACX: 5715\nLUV to MNG: 4280\nJLR to PVD: 12686\nJLR to ACX: 3924\nJLR to MNG: 8499\nMNG to PVD: 17518\nMNG to ACX: 5690\nPVD to ACX: 13226\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51757,
"style": "rule"
}
|
{
"exact_answer": 51757,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKS\", \"id\": 0}, {\"name\": \"KVD\", \"id\": 1}, {\"name\": \"CEK\", \"id\": 2}, {\"name\": \"AXK\", \"id\": 3}, {\"name\": \"LUV\", \"id\": 4}, {\"name\": \"JLR\", \"id\": 5}, {\"name\": \"MNG\", \"id\": 6}, {\"name\": \"PVD\", \"id\": 7}, {\"name\": \"ACX\", \"id\": 8}], \"links\": [{\"weight\": 2714, \"source\": 0, \"target\": 2}, {\"weight\": 8500, \"source\": 0, \"target\": 7}, {\"weight\": 5945, \"source\": 0, \"target\": 5}, {\"weight\": 7876, \"source\": 0, \"target\": 8}, {\"weight\": 5059, \"source\": 0, \"target\": 3}, {\"weight\": 12783, \"source\": 0, \"target\": 4}, {\"weight\": 2821, \"source\": 0, \"target\": 1}, {\"weight\": 13002, \"source\": 0, \"target\": 6}, {\"weight\": 2874, \"source\": 1, \"target\": 2}, {\"weight\": 9557, \"source\": 1, \"target\": 7}, {\"weight\": 3777, \"source\": 1, \"target\": 5}, {\"weight\": 6238, \"source\": 1, \"target\": 8}, {\"weight\": 3508, \"source\": 1, \"target\": 3}, {\"weight\": 10653, \"source\": 1, \"target\": 4}, {\"weight\": 10973, \"source\": 1, \"target\": 6}, {\"weight\": 9084, \"source\": 2, \"target\": 7}, {\"weight\": 3908, \"source\": 2, \"target\": 5}, {\"weight\": 5462, \"source\": 2, \"target\": 8}, {\"weight\": 5413, \"source\": 2, \"target\": 3}, {\"weight\": 10526, \"source\": 2, \"target\": 4}, {\"weight\": 10497, \"source\": 2, \"target\": 6}, {\"weight\": 11677, \"source\": 3, \"target\": 7}, {\"weight\": 4235, \"source\": 3, \"target\": 5}, {\"weight\": 7190, \"source\": 3, \"target\": 8}, {\"weight\": 10666, \"source\": 3, \"target\": 4}, {\"weight\": 10988, \"source\": 3, \"target\": 6}, {\"weight\": 17871, \"source\": 4, \"target\": 7}, {\"weight\": 8177, \"source\": 4, \"target\": 5}, {\"weight\": 5715, \"source\": 4, \"target\": 8}, {\"weight\": 4280, \"source\": 4, \"target\": 6}, {\"weight\": 12686, \"source\": 5, \"target\": 7}, {\"weight\": 3924, \"source\": 5, \"target\": 8}, {\"weight\": 8499, \"source\": 5, \"target\": 6}, {\"weight\": 17518, \"source\": 6, \"target\": 7}, {\"weight\": 5690, \"source\": 6, \"target\": 8}, {\"weight\": 13226, \"source\": 7, \"target\": 8}]}",
"id": 1649,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KVD, CEK, AXK, LUV, JLR, MNG, PVD, ACX\n- Travel distances (in kilometers) between each pair of airports:\nUKS to CEK: 2714\nUKS to PVD: 8500\nUKS to JLR: 5945\nUKS to ACX: 7876\nUKS to AXK: 5059\nUKS to LUV: 12783\nUKS to KVD: 2821\nUKS to MNG: 13002\nKVD to CEK: 2874\nKVD to PVD: 9557\nKVD to JLR: 3777\nKVD to ACX: 6238\nKVD to AXK: 3508\nKVD to LUV: 10653\nKVD to MNG: 10973\nCEK to PVD: 9084\nCEK to JLR: 3908\nCEK to ACX: 5462\nCEK to AXK: 5413\nCEK to LUV: 10526\nCEK to MNG: 10497\nAXK to PVD: 11677\nAXK to JLR: 4235\nAXK to ACX: 7190\nAXK to LUV: 10666\nAXK to MNG: 10988\nLUV to PVD: 17871\nLUV to JLR: 8177\nLUV to ACX: 5715\nLUV to MNG: 4280\nJLR to PVD: 12686\nJLR to ACX: 3924\nJLR to MNG: 8499\nMNG to PVD: 17518\nMNG to ACX: 5690\nPVD to ACX: 13226\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAY, BIQ, VII, MAZ, TCR, SUV, PUY, VFA, ULG\n- Travel distances (in kilometers) between each pair of airports:\nAAY to PUY: 5338\nAAY to MAZ: 13181\nAAY to BIQ: 6233\nAAY to VFA: 5395\nAAY to VII: 7802\nAAY to ULG: 8878\nAAY to SUV: 16284\nAAY to TCR: 5469\nBIQ to PUY: 1502\nBIQ to MAZ: 7810\nBIQ to VFA: 9291\nBIQ to VII: 10070\nBIQ to ULG: 8965\nBIQ to SUV: 17865\nBIQ to TCR: 8869\nVII to PUY: 9023\nVII to MAZ: 16286\nVII to VFA: 10587\nVII to ULG: 5021\nVII to SUV: 9463\nVII to TCR: 3598\nMAZ to PUY: 8174\nMAZ to VFA: 13704\nMAZ to ULG: 15378\nMAZ to SUV: 14575\nMAZ to TCR: 15587\nTCR to PUY: 7717\nTCR to VFA: 8592\nTCR to ULG: 7829\nTCR to SUV: 11888\nSUV to PUY: 16898\nSUV to VFA: 15192\nSUV to ULG: 11469\nPUY to VFA: 8450\nPUY to ULG: 7941\nVFA to ULG: 12478\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63289,
"style": "rule"
}
|
{
"exact_answer": 63289,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAY\", \"id\": 0}, {\"name\": \"BIQ\", \"id\": 1}, {\"name\": \"VII\", \"id\": 2}, {\"name\": \"MAZ\", \"id\": 3}, {\"name\": \"TCR\", \"id\": 4}, {\"name\": \"SUV\", \"id\": 5}, {\"name\": \"PUY\", \"id\": 6}, {\"name\": \"VFA\", \"id\": 7}, {\"name\": \"ULG\", \"id\": 8}], \"links\": [{\"weight\": 5338, \"source\": 0, \"target\": 6}, {\"weight\": 13181, \"source\": 0, \"target\": 3}, {\"weight\": 6233, \"source\": 0, \"target\": 1}, {\"weight\": 5395, \"source\": 0, \"target\": 7}, {\"weight\": 7802, \"source\": 0, \"target\": 2}, {\"weight\": 8878, \"source\": 0, \"target\": 8}, {\"weight\": 16284, \"source\": 0, \"target\": 5}, {\"weight\": 5469, \"source\": 0, \"target\": 4}, {\"weight\": 1502, \"source\": 1, \"target\": 6}, {\"weight\": 7810, \"source\": 1, \"target\": 3}, {\"weight\": 9291, \"source\": 1, \"target\": 7}, {\"weight\": 10070, \"source\": 1, \"target\": 2}, {\"weight\": 8965, \"source\": 1, \"target\": 8}, {\"weight\": 17865, \"source\": 1, \"target\": 5}, {\"weight\": 8869, \"source\": 1, \"target\": 4}, {\"weight\": 9023, \"source\": 2, \"target\": 6}, {\"weight\": 16286, \"source\": 2, \"target\": 3}, {\"weight\": 10587, \"source\": 2, \"target\": 7}, {\"weight\": 5021, \"source\": 2, \"target\": 8}, {\"weight\": 9463, \"source\": 2, \"target\": 5}, {\"weight\": 3598, \"source\": 2, \"target\": 4}, {\"weight\": 8174, \"source\": 3, \"target\": 6}, {\"weight\": 13704, \"source\": 3, \"target\": 7}, {\"weight\": 15378, \"source\": 3, \"target\": 8}, {\"weight\": 14575, \"source\": 3, \"target\": 5}, {\"weight\": 15587, \"source\": 3, \"target\": 4}, {\"weight\": 7717, \"source\": 4, \"target\": 6}, {\"weight\": 8592, \"source\": 4, \"target\": 7}, {\"weight\": 7829, \"source\": 4, \"target\": 8}, {\"weight\": 11888, \"source\": 4, \"target\": 5}, {\"weight\": 16898, \"source\": 5, \"target\": 6}, {\"weight\": 15192, \"source\": 5, \"target\": 7}, {\"weight\": 11469, \"source\": 5, \"target\": 8}, {\"weight\": 8450, \"source\": 6, \"target\": 7}, {\"weight\": 7941, \"source\": 6, \"target\": 8}, {\"weight\": 12478, \"source\": 7, \"target\": 8}]}",
"id": 1650,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAY, BIQ, VII, MAZ, TCR, SUV, PUY, VFA, ULG\n- Travel distances (in kilometers) between each pair of airports:\nAAY to PUY: 5338\nAAY to MAZ: 13181\nAAY to BIQ: 6233\nAAY to VFA: 5395\nAAY to VII: 7802\nAAY to ULG: 8878\nAAY to SUV: 16284\nAAY to TCR: 5469\nBIQ to PUY: 1502\nBIQ to MAZ: 7810\nBIQ to VFA: 9291\nBIQ to VII: 10070\nBIQ to ULG: 8965\nBIQ to SUV: 17865\nBIQ to TCR: 8869\nVII to PUY: 9023\nVII to MAZ: 16286\nVII to VFA: 10587\nVII to ULG: 5021\nVII to SUV: 9463\nVII to TCR: 3598\nMAZ to PUY: 8174\nMAZ to VFA: 13704\nMAZ to ULG: 15378\nMAZ to SUV: 14575\nMAZ to TCR: 15587\nTCR to PUY: 7717\nTCR to VFA: 8592\nTCR to ULG: 7829\nTCR to SUV: 11888\nSUV to PUY: 16898\nSUV to VFA: 15192\nSUV to ULG: 11469\nPUY to VFA: 8450\nPUY to ULG: 7941\nVFA to ULG: 12478\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOU, LKG, IPA, THR, CPO, NJC, GMZ, AUC, EZE\n- Travel distances (in kilometers) between each pair of airports:\nMOU to NJC: 14402\nMOU to EZE: 14151\nMOU to AUC: 10015\nMOU to LKG: 18702\nMOU to THR: 15033\nMOU to CPO: 13237\nMOU to IPA: 11441\nMOU to GMZ: 12110\nLKG to NJC: 8693\nLKG to EZE: 12091\nLKG to AUC: 15095\nLKG to THR: 5181\nLKG to CPO: 13709\nLKG to IPA: 15489\nLKG to GMZ: 8582\nIPA to NJC: 13134\nIPA to EZE: 13195\nIPA to AUC: 16083\nIPA to THR: 14279\nIPA to CPO: 12736\nIPA to GMZ: 19769\nTHR to NJC: 3926\nTHR to EZE: 14182\nTHR to AUC: 13250\nTHR to CPO: 15553\nTHR to GMZ: 6455\nCPO to NJC: 16512\nCPO to EZE: 1817\nCPO to AUC: 4470\nCPO to GMZ: 10176\nNJC to EZE: 15796\nNJC to AUC: 13618\nNJC to GMZ: 7589\nGMZ to EZE: 8559\nGMZ to AUC: 7201\nAUC to EZE: 5147\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67125,
"style": "rule"
}
|
{
"exact_answer": 67125,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MOU\", \"id\": 0}, {\"name\": \"LKG\", \"id\": 1}, {\"name\": \"IPA\", \"id\": 2}, {\"name\": \"THR\", \"id\": 3}, {\"name\": \"CPO\", \"id\": 4}, {\"name\": \"NJC\", \"id\": 5}, {\"name\": \"GMZ\", \"id\": 6}, {\"name\": \"AUC\", \"id\": 7}, {\"name\": \"EZE\", \"id\": 8}], \"links\": [{\"weight\": 14402, \"source\": 0, \"target\": 5}, {\"weight\": 14151, \"source\": 0, \"target\": 8}, {\"weight\": 10015, \"source\": 0, \"target\": 7}, {\"weight\": 18702, \"source\": 0, \"target\": 1}, {\"weight\": 15033, \"source\": 0, \"target\": 3}, {\"weight\": 13237, \"source\": 0, \"target\": 4}, {\"weight\": 11441, \"source\": 0, \"target\": 2}, {\"weight\": 12110, \"source\": 0, \"target\": 6}, {\"weight\": 8693, \"source\": 1, \"target\": 5}, {\"weight\": 12091, \"source\": 1, \"target\": 8}, {\"weight\": 15095, \"source\": 1, \"target\": 7}, {\"weight\": 5181, \"source\": 1, \"target\": 3}, {\"weight\": 13709, \"source\": 1, \"target\": 4}, {\"weight\": 15489, \"source\": 1, \"target\": 2}, {\"weight\": 8582, \"source\": 1, \"target\": 6}, {\"weight\": 13134, \"source\": 2, \"target\": 5}, {\"weight\": 13195, \"source\": 2, \"target\": 8}, {\"weight\": 16083, \"source\": 2, \"target\": 7}, {\"weight\": 14279, \"source\": 2, \"target\": 3}, {\"weight\": 12736, \"source\": 2, \"target\": 4}, {\"weight\": 19769, \"source\": 2, \"target\": 6}, {\"weight\": 3926, \"source\": 3, \"target\": 5}, {\"weight\": 14182, \"source\": 3, \"target\": 8}, {\"weight\": 13250, \"source\": 3, \"target\": 7}, {\"weight\": 15553, \"source\": 3, \"target\": 4}, {\"weight\": 6455, \"source\": 3, \"target\": 6}, {\"weight\": 16512, \"source\": 4, \"target\": 5}, {\"weight\": 1817, \"source\": 4, \"target\": 8}, {\"weight\": 4470, \"source\": 4, \"target\": 7}, {\"weight\": 10176, \"source\": 4, \"target\": 6}, {\"weight\": 15796, \"source\": 5, \"target\": 8}, {\"weight\": 13618, \"source\": 5, \"target\": 7}, {\"weight\": 7589, \"source\": 5, \"target\": 6}, {\"weight\": 8559, \"source\": 6, \"target\": 8}, {\"weight\": 7201, \"source\": 6, \"target\": 7}, {\"weight\": 5147, \"source\": 7, \"target\": 8}]}",
"id": 1651,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MOU, LKG, IPA, THR, CPO, NJC, GMZ, AUC, EZE\n- Travel distances (in kilometers) between each pair of airports:\nMOU to NJC: 14402\nMOU to EZE: 14151\nMOU to AUC: 10015\nMOU to LKG: 18702\nMOU to THR: 15033\nMOU to CPO: 13237\nMOU to IPA: 11441\nMOU to GMZ: 12110\nLKG to NJC: 8693\nLKG to EZE: 12091\nLKG to AUC: 15095\nLKG to THR: 5181\nLKG to CPO: 13709\nLKG to IPA: 15489\nLKG to GMZ: 8582\nIPA to NJC: 13134\nIPA to EZE: 13195\nIPA to AUC: 16083\nIPA to THR: 14279\nIPA to CPO: 12736\nIPA to GMZ: 19769\nTHR to NJC: 3926\nTHR to EZE: 14182\nTHR to AUC: 13250\nTHR to CPO: 15553\nTHR to GMZ: 6455\nCPO to NJC: 16512\nCPO to EZE: 1817\nCPO to AUC: 4470\nCPO to GMZ: 10176\nNJC to EZE: 15796\nNJC to AUC: 13618\nNJC to GMZ: 7589\nGMZ to EZE: 8559\nGMZ to AUC: 7201\nAUC to EZE: 5147\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OGG, TGG, NVK, BHS, SJT, YLW, JKL, HUU, BVE\n- Travel distances (in kilometers) between each pair of airports:\nOGG to HUU: 10912\nOGG to YLW: 4588\nOGG to JKL: 14445\nOGG to BVE: 12649\nOGG to SJT: 6329\nOGG to TGG: 11262\nOGG to NVK: 12296\nOGG to BHS: 8484\nTGG to HUU: 20011\nTGG to YLW: 13421\nTGG to JKL: 9228\nTGG to BVE: 11146\nTGG to SJT: 16297\nTGG to NVK: 10777\nTGG to BHS: 6904\nNVK to HUU: 12518\nNVK to YLW: 7732\nNVK to JKL: 3821\nNVK to BVE: 2777\nNVK to SJT: 8730\nNVK to BHS: 16909\nBHS to HUU: 14208\nBHS to YLW: 12940\nBHS to JKL: 15547\nBHS to BVE: 17538\nBHS to SJT: 14328\nSJT to HUU: 6045\nSJT to YLW: 3217\nSJT to JKL: 10706\nSJT to BVE: 8728\nYLW to HUU: 8528\nYLW to JKL: 9950\nYLW to BVE: 8096\nJKL to HUU: 12444\nJKL to BVE: 2439\nHUU to BVE: 11043\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56107,
"style": "rule"
}
|
{
"exact_answer": 56107,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OGG\", \"id\": 0}, {\"name\": \"TGG\", \"id\": 1}, {\"name\": \"NVK\", \"id\": 2}, {\"name\": \"BHS\", \"id\": 3}, {\"name\": \"SJT\", \"id\": 4}, {\"name\": \"YLW\", \"id\": 5}, {\"name\": \"JKL\", \"id\": 6}, {\"name\": \"HUU\", \"id\": 7}, {\"name\": \"BVE\", \"id\": 8}], \"links\": [{\"weight\": 10912, \"source\": 0, \"target\": 7}, {\"weight\": 4588, \"source\": 0, \"target\": 5}, {\"weight\": 14445, \"source\": 0, \"target\": 6}, {\"weight\": 12649, \"source\": 0, \"target\": 8}, {\"weight\": 6329, \"source\": 0, \"target\": 4}, {\"weight\": 11262, \"source\": 0, \"target\": 1}, {\"weight\": 12296, \"source\": 0, \"target\": 2}, {\"weight\": 8484, \"source\": 0, \"target\": 3}, {\"weight\": 20011, \"source\": 1, \"target\": 7}, {\"weight\": 13421, \"source\": 1, \"target\": 5}, {\"weight\": 9228, \"source\": 1, \"target\": 6}, {\"weight\": 11146, \"source\": 1, \"target\": 8}, {\"weight\": 16297, \"source\": 1, \"target\": 4}, {\"weight\": 10777, \"source\": 1, \"target\": 2}, {\"weight\": 6904, \"source\": 1, \"target\": 3}, {\"weight\": 12518, \"source\": 2, \"target\": 7}, {\"weight\": 7732, \"source\": 2, \"target\": 5}, {\"weight\": 3821, \"source\": 2, \"target\": 6}, {\"weight\": 2777, \"source\": 2, \"target\": 8}, {\"weight\": 8730, \"source\": 2, \"target\": 4}, {\"weight\": 16909, \"source\": 2, \"target\": 3}, {\"weight\": 14208, \"source\": 3, \"target\": 7}, {\"weight\": 12940, \"source\": 3, \"target\": 5}, {\"weight\": 15547, \"source\": 3, \"target\": 6}, {\"weight\": 17538, \"source\": 3, \"target\": 8}, {\"weight\": 14328, \"source\": 3, \"target\": 4}, {\"weight\": 6045, \"source\": 4, \"target\": 7}, {\"weight\": 3217, \"source\": 4, \"target\": 5}, {\"weight\": 10706, \"source\": 4, \"target\": 6}, {\"weight\": 8728, \"source\": 4, \"target\": 8}, {\"weight\": 8528, \"source\": 5, \"target\": 7}, {\"weight\": 9950, \"source\": 5, \"target\": 6}, {\"weight\": 8096, \"source\": 5, \"target\": 8}, {\"weight\": 12444, \"source\": 6, \"target\": 7}, {\"weight\": 2439, \"source\": 6, \"target\": 8}, {\"weight\": 11043, \"source\": 7, \"target\": 8}]}",
"id": 1652,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OGG, TGG, NVK, BHS, SJT, YLW, JKL, HUU, BVE\n- Travel distances (in kilometers) between each pair of airports:\nOGG to HUU: 10912\nOGG to YLW: 4588\nOGG to JKL: 14445\nOGG to BVE: 12649\nOGG to SJT: 6329\nOGG to TGG: 11262\nOGG to NVK: 12296\nOGG to BHS: 8484\nTGG to HUU: 20011\nTGG to YLW: 13421\nTGG to JKL: 9228\nTGG to BVE: 11146\nTGG to SJT: 16297\nTGG to NVK: 10777\nTGG to BHS: 6904\nNVK to HUU: 12518\nNVK to YLW: 7732\nNVK to JKL: 3821\nNVK to BVE: 2777\nNVK to SJT: 8730\nNVK to BHS: 16909\nBHS to HUU: 14208\nBHS to YLW: 12940\nBHS to JKL: 15547\nBHS to BVE: 17538\nBHS to SJT: 14328\nSJT to HUU: 6045\nSJT to YLW: 3217\nSJT to JKL: 10706\nSJT to BVE: 8728\nYLW to HUU: 8528\nYLW to JKL: 9950\nYLW to BVE: 8096\nJKL to HUU: 12444\nJKL to BVE: 2439\nHUU to BVE: 11043\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYS, DXB, UAK, TGK, AOO, PGF, LCG, OMR, WMR\n- Travel distances (in kilometers) between each pair of airports:\nTYS to TGK: 9464\nTYS to DXB: 12029\nTYS to PGF: 7502\nTYS to LCG: 6948\nTYS to OMR: 9087\nTYS to UAK: 7031\nTYS to WMR: 15793\nTYS to AOO: 841\nDXB to TGK: 4556\nDXB to PGF: 5911\nDXB to LCG: 6035\nDXB to OMR: 3817\nDXB to UAK: 8785\nDXB to WMR: 5917\nDXB to AOO: 11522\nUAK to TGK: 6159\nUAK to PGF: 4783\nUAK to LCG: 4842\nUAK to OMR: 5981\nUAK to WMR: 13256\nUAK to AOO: 6524\nTGK to PGF: 4064\nTGK to LCG: 4544\nTGK to OMR: 3428\nTGK to WMR: 9841\nTGK to AOO: 8957\nAOO to PGF: 6995\nAOO to LCG: 6441\nAOO to OMR: 8580\nAOO to WMR: 15286\nPGF to LCG: 1835\nPGF to OMR: 2963\nPGF to WMR: 9834\nLCG to OMR: 3187\nLCG to WMR: 9823\nOMR to WMR: 8285\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44028,
"style": "rule"
}
|
{
"exact_answer": 44028,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TYS\", \"id\": 0}, {\"name\": \"DXB\", \"id\": 1}, {\"name\": \"UAK\", \"id\": 2}, {\"name\": \"TGK\", \"id\": 3}, {\"name\": \"AOO\", \"id\": 4}, {\"name\": \"PGF\", \"id\": 5}, {\"name\": \"LCG\", \"id\": 6}, {\"name\": \"OMR\", \"id\": 7}, {\"name\": \"WMR\", \"id\": 8}], \"links\": [{\"weight\": 9464, \"source\": 0, \"target\": 3}, {\"weight\": 12029, \"source\": 0, \"target\": 1}, {\"weight\": 7502, \"source\": 0, \"target\": 5}, {\"weight\": 6948, \"source\": 0, \"target\": 6}, {\"weight\": 9087, \"source\": 0, \"target\": 7}, {\"weight\": 7031, \"source\": 0, \"target\": 2}, {\"weight\": 15793, \"source\": 0, \"target\": 8}, {\"weight\": 841, \"source\": 0, \"target\": 4}, {\"weight\": 4556, \"source\": 1, \"target\": 3}, {\"weight\": 5911, \"source\": 1, \"target\": 5}, {\"weight\": 6035, \"source\": 1, \"target\": 6}, {\"weight\": 3817, \"source\": 1, \"target\": 7}, {\"weight\": 8785, \"source\": 1, \"target\": 2}, {\"weight\": 5917, \"source\": 1, \"target\": 8}, {\"weight\": 11522, \"source\": 1, \"target\": 4}, {\"weight\": 6159, \"source\": 2, \"target\": 3}, {\"weight\": 4783, \"source\": 2, \"target\": 5}, {\"weight\": 4842, \"source\": 2, \"target\": 6}, {\"weight\": 5981, \"source\": 2, \"target\": 7}, {\"weight\": 13256, \"source\": 2, \"target\": 8}, {\"weight\": 6524, \"source\": 2, \"target\": 4}, {\"weight\": 4064, \"source\": 3, \"target\": 5}, {\"weight\": 4544, \"source\": 3, \"target\": 6}, {\"weight\": 3428, \"source\": 3, \"target\": 7}, {\"weight\": 9841, \"source\": 3, \"target\": 8}, {\"weight\": 8957, \"source\": 3, \"target\": 4}, {\"weight\": 6995, \"source\": 4, \"target\": 5}, {\"weight\": 6441, \"source\": 4, \"target\": 6}, {\"weight\": 8580, \"source\": 4, \"target\": 7}, {\"weight\": 15286, \"source\": 4, \"target\": 8}, {\"weight\": 1835, \"source\": 5, \"target\": 6}, {\"weight\": 2963, \"source\": 5, \"target\": 7}, {\"weight\": 9834, \"source\": 5, \"target\": 8}, {\"weight\": 3187, \"source\": 6, \"target\": 7}, {\"weight\": 9823, \"source\": 6, \"target\": 8}, {\"weight\": 8285, \"source\": 7, \"target\": 8}]}",
"id": 1653,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TYS, DXB, UAK, TGK, AOO, PGF, LCG, OMR, WMR\n- Travel distances (in kilometers) between each pair of airports:\nTYS to TGK: 9464\nTYS to DXB: 12029\nTYS to PGF: 7502\nTYS to LCG: 6948\nTYS to OMR: 9087\nTYS to UAK: 7031\nTYS to WMR: 15793\nTYS to AOO: 841\nDXB to TGK: 4556\nDXB to PGF: 5911\nDXB to LCG: 6035\nDXB to OMR: 3817\nDXB to UAK: 8785\nDXB to WMR: 5917\nDXB to AOO: 11522\nUAK to TGK: 6159\nUAK to PGF: 4783\nUAK to LCG: 4842\nUAK to OMR: 5981\nUAK to WMR: 13256\nUAK to AOO: 6524\nTGK to PGF: 4064\nTGK to LCG: 4544\nTGK to OMR: 3428\nTGK to WMR: 9841\nTGK to AOO: 8957\nAOO to PGF: 6995\nAOO to LCG: 6441\nAOO to OMR: 8580\nAOO to WMR: 15286\nPGF to LCG: 1835\nPGF to OMR: 2963\nPGF to WMR: 9834\nLCG to OMR: 3187\nLCG to WMR: 9823\nOMR to WMR: 8285\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RBQ, SAB, SYR, YRL, WUX, ZKE, EGO, BGI, YSG\n- Travel distances (in kilometers) between each pair of airports:\nRBQ to EGO: 13278\nRBQ to WUX: 18605\nRBQ to YSG: 10426\nRBQ to SYR: 6989\nRBQ to BGI: 4588\nRBQ to YRL: 8408\nRBQ to SAB: 4648\nRBQ to ZKE: 8059\nSAB to EGO: 9272\nSAB to WUX: 14749\nSAB to YSG: 6597\nSAB to SYR: 3089\nSAB to BGI: 697\nSAB to YRL: 4638\nSAB to ZKE: 4289\nSYR to EGO: 8134\nSYR to WUX: 11866\nSYR to YSG: 3805\nSYR to BGI: 3701\nSYR to YRL: 1641\nSYR to ZKE: 1292\nYRL to EGO: 9356\nYRL to WUX: 11300\nYRL to YSG: 2672\nYRL to BGI: 5258\nYRL to ZKE: 1466\nWUX to EGO: 7110\nWUX to YSG: 11183\nWUX to BGI: 15358\nWUX to ZKE: 12576\nZKE to EGO: 8866\nZKE to YSG: 4024\nZKE to BGI: 4909\nEGO to YSG: 9969\nEGO to BGI: 9416\nBGI to YSG: 7210\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45269,
"style": "rule"
}
|
{
"exact_answer": 45269,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RBQ\", \"id\": 0}, {\"name\": \"SAB\", \"id\": 1}, {\"name\": \"SYR\", \"id\": 2}, {\"name\": \"YRL\", \"id\": 3}, {\"name\": \"WUX\", \"id\": 4}, {\"name\": \"ZKE\", \"id\": 5}, {\"name\": \"EGO\", \"id\": 6}, {\"name\": \"BGI\", \"id\": 7}, {\"name\": \"YSG\", \"id\": 8}], \"links\": [{\"weight\": 13278, \"source\": 0, \"target\": 6}, {\"weight\": 18605, \"source\": 0, \"target\": 4}, {\"weight\": 10426, \"source\": 0, \"target\": 8}, {\"weight\": 6989, \"source\": 0, \"target\": 2}, {\"weight\": 4588, \"source\": 0, \"target\": 7}, {\"weight\": 8408, \"source\": 0, \"target\": 3}, {\"weight\": 4648, \"source\": 0, \"target\": 1}, {\"weight\": 8059, \"source\": 0, \"target\": 5}, {\"weight\": 9272, \"source\": 1, \"target\": 6}, {\"weight\": 14749, \"source\": 1, \"target\": 4}, {\"weight\": 6597, \"source\": 1, \"target\": 8}, {\"weight\": 3089, \"source\": 1, \"target\": 2}, {\"weight\": 697, \"source\": 1, \"target\": 7}, {\"weight\": 4638, \"source\": 1, \"target\": 3}, {\"weight\": 4289, \"source\": 1, \"target\": 5}, {\"weight\": 8134, \"source\": 2, \"target\": 6}, {\"weight\": 11866, \"source\": 2, \"target\": 4}, {\"weight\": 3805, \"source\": 2, \"target\": 8}, {\"weight\": 3701, \"source\": 2, \"target\": 7}, {\"weight\": 1641, \"source\": 2, \"target\": 3}, {\"weight\": 1292, \"source\": 2, \"target\": 5}, {\"weight\": 9356, \"source\": 3, \"target\": 6}, {\"weight\": 11300, \"source\": 3, \"target\": 4}, {\"weight\": 2672, \"source\": 3, \"target\": 8}, {\"weight\": 5258, \"source\": 3, \"target\": 7}, {\"weight\": 1466, \"source\": 3, \"target\": 5}, {\"weight\": 7110, \"source\": 4, \"target\": 6}, {\"weight\": 11183, \"source\": 4, \"target\": 8}, {\"weight\": 15358, \"source\": 4, \"target\": 7}, {\"weight\": 12576, \"source\": 4, \"target\": 5}, {\"weight\": 8866, \"source\": 5, \"target\": 6}, {\"weight\": 4024, \"source\": 5, \"target\": 8}, {\"weight\": 4909, \"source\": 5, \"target\": 7}, {\"weight\": 9969, \"source\": 6, \"target\": 8}, {\"weight\": 9416, \"source\": 6, \"target\": 7}, {\"weight\": 7210, \"source\": 7, \"target\": 8}]}",
"id": 1654,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RBQ, SAB, SYR, YRL, WUX, ZKE, EGO, BGI, YSG\n- Travel distances (in kilometers) between each pair of airports:\nRBQ to EGO: 13278\nRBQ to WUX: 18605\nRBQ to YSG: 10426\nRBQ to SYR: 6989\nRBQ to BGI: 4588\nRBQ to YRL: 8408\nRBQ to SAB: 4648\nRBQ to ZKE: 8059\nSAB to EGO: 9272\nSAB to WUX: 14749\nSAB to YSG: 6597\nSAB to SYR: 3089\nSAB to BGI: 697\nSAB to YRL: 4638\nSAB to ZKE: 4289\nSYR to EGO: 8134\nSYR to WUX: 11866\nSYR to YSG: 3805\nSYR to BGI: 3701\nSYR to YRL: 1641\nSYR to ZKE: 1292\nYRL to EGO: 9356\nYRL to WUX: 11300\nYRL to YSG: 2672\nYRL to BGI: 5258\nYRL to ZKE: 1466\nWUX to EGO: 7110\nWUX to YSG: 11183\nWUX to BGI: 15358\nWUX to ZKE: 12576\nZKE to EGO: 8866\nZKE to YSG: 4024\nZKE to BGI: 4909\nEGO to YSG: 9969\nEGO to BGI: 9416\nBGI to YSG: 7210\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IVL, SXM, MPP, ELS, IRK, LPM, UIP, MID, OGX\n- Travel distances (in kilometers) between each pair of airports:\nIVL to SXM: 9383\nIVL to MID: 10330\nIVL to MPP: 11803\nIVL to IRK: 8832\nIVL to UIP: 3347\nIVL to OGX: 4541\nIVL to ELS: 11323\nIVL to LPM: 16410\nSXM to MID: 2908\nSXM to MPP: 3242\nSXM to IRK: 3756\nSXM to UIP: 7213\nSXM to OGX: 8416\nSXM to ELS: 13180\nSXM to LPM: 15733\nMPP to MID: 2090\nMPP to IRK: 4340\nMPP to UIP: 10210\nMPP to OGX: 10513\nMPP to ELS: 14522\nMPP to LPM: 15111\nELS to MID: 15017\nELS to IRK: 15240\nELS to UIP: 10297\nELS to OGX: 9223\nELS to LPM: 14423\nIRK to MID: 2470\nIRK to UIP: 7812\nIRK to OGX: 8639\nIRK to LPM: 12800\nLPM to MID: 13220\nLPM to UIP: 17890\nLPM to OGX: 18712\nUIP to MID: 9025\nUIP to OGX: 2397\nMID to OGX: 9451\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59349,
"style": "rule"
}
|
{
"exact_answer": 59349,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IVL\", \"id\": 0}, {\"name\": \"SXM\", \"id\": 1}, {\"name\": \"MPP\", \"id\": 2}, {\"name\": \"ELS\", \"id\": 3}, {\"name\": \"IRK\", \"id\": 4}, {\"name\": \"LPM\", \"id\": 5}, {\"name\": \"UIP\", \"id\": 6}, {\"name\": \"MID\", \"id\": 7}, {\"name\": \"OGX\", \"id\": 8}], \"links\": [{\"weight\": 9383, \"source\": 0, \"target\": 1}, {\"weight\": 10330, \"source\": 0, \"target\": 7}, {\"weight\": 11803, \"source\": 0, \"target\": 2}, {\"weight\": 8832, \"source\": 0, \"target\": 4}, {\"weight\": 3347, \"source\": 0, \"target\": 6}, {\"weight\": 4541, \"source\": 0, \"target\": 8}, {\"weight\": 11323, \"source\": 0, \"target\": 3}, {\"weight\": 16410, \"source\": 0, \"target\": 5}, {\"weight\": 2908, \"source\": 1, \"target\": 7}, {\"weight\": 3242, \"source\": 1, \"target\": 2}, {\"weight\": 3756, \"source\": 1, \"target\": 4}, {\"weight\": 7213, \"source\": 1, \"target\": 6}, {\"weight\": 8416, \"source\": 1, \"target\": 8}, {\"weight\": 13180, \"source\": 1, \"target\": 3}, {\"weight\": 15733, \"source\": 1, \"target\": 5}, {\"weight\": 2090, \"source\": 2, \"target\": 7}, {\"weight\": 4340, \"source\": 2, \"target\": 4}, {\"weight\": 10210, \"source\": 2, \"target\": 6}, {\"weight\": 10513, \"source\": 2, \"target\": 8}, {\"weight\": 14522, \"source\": 2, \"target\": 3}, {\"weight\": 15111, \"source\": 2, \"target\": 5}, {\"weight\": 15017, \"source\": 3, \"target\": 7}, {\"weight\": 15240, \"source\": 3, \"target\": 4}, {\"weight\": 10297, \"source\": 3, \"target\": 6}, {\"weight\": 9223, \"source\": 3, \"target\": 8}, {\"weight\": 14423, \"source\": 3, \"target\": 5}, {\"weight\": 2470, \"source\": 4, \"target\": 7}, {\"weight\": 7812, \"source\": 4, \"target\": 6}, {\"weight\": 8639, \"source\": 4, \"target\": 8}, {\"weight\": 12800, \"source\": 4, \"target\": 5}, {\"weight\": 13220, \"source\": 5, \"target\": 7}, {\"weight\": 17890, \"source\": 5, \"target\": 6}, {\"weight\": 18712, \"source\": 5, \"target\": 8}, {\"weight\": 9025, \"source\": 6, \"target\": 7}, {\"weight\": 2397, \"source\": 6, \"target\": 8}, {\"weight\": 9451, \"source\": 7, \"target\": 8}]}",
"id": 1655,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IVL, SXM, MPP, ELS, IRK, LPM, UIP, MID, OGX\n- Travel distances (in kilometers) between each pair of airports:\nIVL to SXM: 9383\nIVL to MID: 10330\nIVL to MPP: 11803\nIVL to IRK: 8832\nIVL to UIP: 3347\nIVL to OGX: 4541\nIVL to ELS: 11323\nIVL to LPM: 16410\nSXM to MID: 2908\nSXM to MPP: 3242\nSXM to IRK: 3756\nSXM to UIP: 7213\nSXM to OGX: 8416\nSXM to ELS: 13180\nSXM to LPM: 15733\nMPP to MID: 2090\nMPP to IRK: 4340\nMPP to UIP: 10210\nMPP to OGX: 10513\nMPP to ELS: 14522\nMPP to LPM: 15111\nELS to MID: 15017\nELS to IRK: 15240\nELS to UIP: 10297\nELS to OGX: 9223\nELS to LPM: 14423\nIRK to MID: 2470\nIRK to UIP: 7812\nIRK to OGX: 8639\nIRK to LPM: 12800\nLPM to MID: 13220\nLPM to UIP: 17890\nLPM to OGX: 18712\nUIP to MID: 9025\nUIP to OGX: 2397\nMID to OGX: 9451\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ASF, PMY, LKH, COO, AVL, TAK, HRM, RAK\n- Travel distances (in kilometers) between each pair of airports:\nJBR to ASF: 10117\nJBR to COO: 10203\nJBR to RAK: 7751\nJBR to TAK: 11203\nJBR to AVL: 1368\nJBR to HRM: 8575\nJBR to LKH: 15160\nJBR to PMY: 10343\nASF to COO: 6409\nASF to RAK: 5163\nASF to TAK: 7386\nASF to AVL: 9774\nASF to HRM: 4420\nASF to LKH: 8612\nASF to PMY: 15246\nPMY to COO: 8985\nPMY to RAK: 10241\nPMY to TAK: 20275\nPMY to AVL: 9391\nPMY to HRM: 11779\nPMY to LKH: 20168\nLKH to COO: 12883\nLKH to RAK: 13183\nLKH to TAK: 4226\nLKH to AVL: 15474\nLKH to HRM: 12354\nCOO to RAK: 3373\nCOO to TAK: 13238\nCOO to AVL: 9425\nCOO to HRM: 3793\nAVL to RAK: 7011\nAVL to TAK: 11541\nAVL to HRM: 7918\nTAK to RAK: 11769\nTAK to HRM: 11106\nHRM to RAK: 1666\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53244,
"style": "rule"
}
|
{
"exact_answer": 53244,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JBR\", \"id\": 0}, {\"name\": \"ASF\", \"id\": 1}, {\"name\": \"PMY\", \"id\": 2}, {\"name\": \"LKH\", \"id\": 3}, {\"name\": \"COO\", \"id\": 4}, {\"name\": \"AVL\", \"id\": 5}, {\"name\": \"TAK\", \"id\": 6}, {\"name\": \"HRM\", \"id\": 7}, {\"name\": \"RAK\", \"id\": 8}], \"links\": [{\"weight\": 10117, \"source\": 0, \"target\": 1}, {\"weight\": 10203, \"source\": 0, \"target\": 4}, {\"weight\": 7751, \"source\": 0, \"target\": 8}, {\"weight\": 11203, \"source\": 0, \"target\": 6}, {\"weight\": 1368, \"source\": 0, \"target\": 5}, {\"weight\": 8575, \"source\": 0, \"target\": 7}, {\"weight\": 15160, \"source\": 0, \"target\": 3}, {\"weight\": 10343, \"source\": 0, \"target\": 2}, {\"weight\": 6409, \"source\": 1, \"target\": 4}, {\"weight\": 5163, \"source\": 1, \"target\": 8}, {\"weight\": 7386, \"source\": 1, \"target\": 6}, {\"weight\": 9774, \"source\": 1, \"target\": 5}, {\"weight\": 4420, \"source\": 1, \"target\": 7}, {\"weight\": 8612, \"source\": 1, \"target\": 3}, {\"weight\": 15246, \"source\": 1, \"target\": 2}, {\"weight\": 8985, \"source\": 2, \"target\": 4}, {\"weight\": 10241, \"source\": 2, \"target\": 8}, {\"weight\": 20275, \"source\": 2, \"target\": 6}, {\"weight\": 9391, \"source\": 2, \"target\": 5}, {\"weight\": 11779, \"source\": 2, \"target\": 7}, {\"weight\": 20168, \"source\": 2, \"target\": 3}, {\"weight\": 12883, \"source\": 3, \"target\": 4}, {\"weight\": 13183, \"source\": 3, \"target\": 8}, {\"weight\": 4226, \"source\": 3, \"target\": 6}, {\"weight\": 15474, \"source\": 3, \"target\": 5}, {\"weight\": 12354, \"source\": 3, \"target\": 7}, {\"weight\": 3373, \"source\": 4, \"target\": 8}, {\"weight\": 13238, \"source\": 4, \"target\": 6}, {\"weight\": 9425, \"source\": 4, \"target\": 5}, {\"weight\": 3793, \"source\": 4, \"target\": 7}, {\"weight\": 7011, \"source\": 5, \"target\": 8}, {\"weight\": 11541, \"source\": 5, \"target\": 6}, {\"weight\": 7918, \"source\": 5, \"target\": 7}, {\"weight\": 11769, \"source\": 6, \"target\": 8}, {\"weight\": 11106, \"source\": 6, \"target\": 7}, {\"weight\": 1666, \"source\": 7, \"target\": 8}]}",
"id": 1656,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ASF, PMY, LKH, COO, AVL, TAK, HRM, RAK\n- Travel distances (in kilometers) between each pair of airports:\nJBR to ASF: 10117\nJBR to COO: 10203\nJBR to RAK: 7751\nJBR to TAK: 11203\nJBR to AVL: 1368\nJBR to HRM: 8575\nJBR to LKH: 15160\nJBR to PMY: 10343\nASF to COO: 6409\nASF to RAK: 5163\nASF to TAK: 7386\nASF to AVL: 9774\nASF to HRM: 4420\nASF to LKH: 8612\nASF to PMY: 15246\nPMY to COO: 8985\nPMY to RAK: 10241\nPMY to TAK: 20275\nPMY to AVL: 9391\nPMY to HRM: 11779\nPMY to LKH: 20168\nLKH to COO: 12883\nLKH to RAK: 13183\nLKH to TAK: 4226\nLKH to AVL: 15474\nLKH to HRM: 12354\nCOO to RAK: 3373\nCOO to TAK: 13238\nCOO to AVL: 9425\nCOO to HRM: 3793\nAVL to RAK: 7011\nAVL to TAK: 11541\nAVL to HRM: 7918\nTAK to RAK: 11769\nTAK to HRM: 11106\nHRM to RAK: 1666\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GTF, KRY, ANS, CDV, BON, GFN, SPP, JCK, IRC\n- Travel distances (in kilometers) between each pair of airports:\nGTF to BON: 5748\nGTF to IRC: 3490\nGTF to CDV: 2940\nGTF to KRY: 12209\nGTF to SPP: 14429\nGTF to ANS: 7901\nGTF to GFN: 13799\nGTF to JCK: 14483\nKRY to BON: 13943\nKRY to IRC: 14057\nKRY to CDV: 13507\nKRY to SPP: 10625\nKRY to ANS: 17119\nKRY to GFN: 11576\nKRY to JCK: 9546\nANS to BON: 3419\nANS to IRC: 11159\nANS to CDV: 10609\nANS to SPP: 11231\nANS to GFN: 14750\nANS to JCK: 16654\nCDV to BON: 8495\nCDV to IRC: 882\nCDV to SPP: 17304\nCDV to GFN: 13401\nCDV to JCK: 14085\nBON to IRC: 9025\nBON to SPP: 12083\nBON to GFN: 17099\nBON to JCK: 18918\nGFN to IRC: 13771\nGFN to SPP: 14290\nGFN to JCK: 3056\nSPP to IRC: 17674\nSPP to JCK: 15255\nJCK to IRC: 14455\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61218,
"style": "rule"
}
|
{
"exact_answer": 61218,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GTF\", \"id\": 0}, {\"name\": \"KRY\", \"id\": 1}, {\"name\": \"ANS\", \"id\": 2}, {\"name\": \"CDV\", \"id\": 3}, {\"name\": \"BON\", \"id\": 4}, {\"name\": \"GFN\", \"id\": 5}, {\"name\": \"SPP\", \"id\": 6}, {\"name\": \"JCK\", \"id\": 7}, {\"name\": \"IRC\", \"id\": 8}], \"links\": [{\"weight\": 5748, \"source\": 0, \"target\": 4}, {\"weight\": 3490, \"source\": 0, \"target\": 8}, {\"weight\": 2940, \"source\": 0, \"target\": 3}, {\"weight\": 12209, \"source\": 0, \"target\": 1}, {\"weight\": 14429, \"source\": 0, \"target\": 6}, {\"weight\": 7901, \"source\": 0, \"target\": 2}, {\"weight\": 13799, \"source\": 0, \"target\": 5}, {\"weight\": 14483, \"source\": 0, \"target\": 7}, {\"weight\": 13943, \"source\": 1, \"target\": 4}, {\"weight\": 14057, \"source\": 1, \"target\": 8}, {\"weight\": 13507, \"source\": 1, \"target\": 3}, {\"weight\": 10625, \"source\": 1, \"target\": 6}, {\"weight\": 17119, \"source\": 1, \"target\": 2}, {\"weight\": 11576, \"source\": 1, \"target\": 5}, {\"weight\": 9546, \"source\": 1, \"target\": 7}, {\"weight\": 3419, \"source\": 2, \"target\": 4}, {\"weight\": 11159, \"source\": 2, \"target\": 8}, {\"weight\": 10609, \"source\": 2, \"target\": 3}, {\"weight\": 11231, \"source\": 2, \"target\": 6}, {\"weight\": 14750, \"source\": 2, \"target\": 5}, {\"weight\": 16654, \"source\": 2, \"target\": 7}, {\"weight\": 8495, \"source\": 3, \"target\": 4}, {\"weight\": 882, \"source\": 3, \"target\": 8}, {\"weight\": 17304, \"source\": 3, \"target\": 6}, {\"weight\": 13401, \"source\": 3, \"target\": 5}, {\"weight\": 14085, \"source\": 3, \"target\": 7}, {\"weight\": 9025, \"source\": 4, \"target\": 8}, {\"weight\": 12083, \"source\": 4, \"target\": 6}, {\"weight\": 17099, \"source\": 4, \"target\": 5}, {\"weight\": 18918, \"source\": 4, \"target\": 7}, {\"weight\": 13771, \"source\": 5, \"target\": 8}, {\"weight\": 14290, \"source\": 5, \"target\": 6}, {\"weight\": 3056, \"source\": 5, \"target\": 7}, {\"weight\": 17674, \"source\": 6, \"target\": 8}, {\"weight\": 15255, \"source\": 6, \"target\": 7}, {\"weight\": 14455, \"source\": 7, \"target\": 8}]}",
"id": 1657,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GTF, KRY, ANS, CDV, BON, GFN, SPP, JCK, IRC\n- Travel distances (in kilometers) between each pair of airports:\nGTF to BON: 5748\nGTF to IRC: 3490\nGTF to CDV: 2940\nGTF to KRY: 12209\nGTF to SPP: 14429\nGTF to ANS: 7901\nGTF to GFN: 13799\nGTF to JCK: 14483\nKRY to BON: 13943\nKRY to IRC: 14057\nKRY to CDV: 13507\nKRY to SPP: 10625\nKRY to ANS: 17119\nKRY to GFN: 11576\nKRY to JCK: 9546\nANS to BON: 3419\nANS to IRC: 11159\nANS to CDV: 10609\nANS to SPP: 11231\nANS to GFN: 14750\nANS to JCK: 16654\nCDV to BON: 8495\nCDV to IRC: 882\nCDV to SPP: 17304\nCDV to GFN: 13401\nCDV to JCK: 14085\nBON to IRC: 9025\nBON to SPP: 12083\nBON to GFN: 17099\nBON to JCK: 18918\nGFN to IRC: 13771\nGFN to SPP: 14290\nGFN to JCK: 3056\nSPP to IRC: 17674\nSPP to JCK: 15255\nJCK to IRC: 14455\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTP, TKG, LGP, TGM, BYN, UPG, HLA, KDV, MCG\n- Travel distances (in kilometers) between each pair of airports:\nPTP to LGP: 16981\nPTP to MCG: 8727\nPTP to UPG: 19069\nPTP to TGM: 8866\nPTP to KDV: 15027\nPTP to TKG: 18185\nPTP to HLA: 13196\nPTP to BYN: 14304\nTKG to LGP: 3300\nTKG to MCG: 16325\nTKG to UPG: 1622\nTKG to TGM: 10040\nTKG to KDV: 8243\nTKG to HLA: 9839\nTKG to BYN: 6495\nLGP to MCG: 13676\nLGP to UPG: 2785\nLGP to TGM: 10179\nLGP to KDV: 7252\nLGP to HLA: 11683\nLGP to BYN: 4865\nTGM to MCG: 12226\nTGM to UPG: 11230\nTGM to KDV: 16623\nTGM to HLA: 9194\nTGM to BYN: 6875\nBYN to MCG: 13018\nBYN to UPG: 6614\nBYN to KDV: 10760\nBYN to HLA: 12890\nUPG to MCG: 15817\nUPG to KDV: 7704\nUPG to HLA: 11029\nHLA to MCG: 19914\nHLA to KDV: 15395\nKDV to MCG: 10095\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65578,
"style": "rule"
}
|
{
"exact_answer": 65578,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTP\", \"id\": 0}, {\"name\": \"TKG\", \"id\": 1}, {\"name\": \"LGP\", \"id\": 2}, {\"name\": \"TGM\", \"id\": 3}, {\"name\": \"BYN\", \"id\": 4}, {\"name\": \"UPG\", \"id\": 5}, {\"name\": \"HLA\", \"id\": 6}, {\"name\": \"KDV\", \"id\": 7}, {\"name\": \"MCG\", \"id\": 8}], \"links\": [{\"weight\": 16981, \"source\": 0, \"target\": 2}, {\"weight\": 8727, \"source\": 0, \"target\": 8}, {\"weight\": 19069, \"source\": 0, \"target\": 5}, {\"weight\": 8866, \"source\": 0, \"target\": 3}, {\"weight\": 15027, \"source\": 0, \"target\": 7}, {\"weight\": 18185, \"source\": 0, \"target\": 1}, {\"weight\": 13196, \"source\": 0, \"target\": 6}, {\"weight\": 14304, \"source\": 0, \"target\": 4}, {\"weight\": 3300, \"source\": 1, \"target\": 2}, {\"weight\": 16325, \"source\": 1, \"target\": 8}, {\"weight\": 1622, \"source\": 1, \"target\": 5}, {\"weight\": 10040, \"source\": 1, \"target\": 3}, {\"weight\": 8243, \"source\": 1, \"target\": 7}, {\"weight\": 9839, \"source\": 1, \"target\": 6}, {\"weight\": 6495, \"source\": 1, \"target\": 4}, {\"weight\": 13676, \"source\": 2, \"target\": 8}, {\"weight\": 2785, \"source\": 2, \"target\": 5}, {\"weight\": 10179, \"source\": 2, \"target\": 3}, {\"weight\": 7252, \"source\": 2, \"target\": 7}, {\"weight\": 11683, \"source\": 2, \"target\": 6}, {\"weight\": 4865, \"source\": 2, \"target\": 4}, {\"weight\": 12226, \"source\": 3, \"target\": 8}, {\"weight\": 11230, \"source\": 3, \"target\": 5}, {\"weight\": 16623, \"source\": 3, \"target\": 7}, {\"weight\": 9194, \"source\": 3, \"target\": 6}, {\"weight\": 6875, \"source\": 3, \"target\": 4}, {\"weight\": 13018, \"source\": 4, \"target\": 8}, {\"weight\": 6614, \"source\": 4, \"target\": 5}, {\"weight\": 10760, \"source\": 4, \"target\": 7}, {\"weight\": 12890, \"source\": 4, \"target\": 6}, {\"weight\": 15817, \"source\": 5, \"target\": 8}, {\"weight\": 7704, \"source\": 5, \"target\": 7}, {\"weight\": 11029, \"source\": 5, \"target\": 6}, {\"weight\": 19914, \"source\": 6, \"target\": 8}, {\"weight\": 15395, \"source\": 6, \"target\": 7}, {\"weight\": 10095, \"source\": 7, \"target\": 8}]}",
"id": 1658,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTP, TKG, LGP, TGM, BYN, UPG, HLA, KDV, MCG\n- Travel distances (in kilometers) between each pair of airports:\nPTP to LGP: 16981\nPTP to MCG: 8727\nPTP to UPG: 19069\nPTP to TGM: 8866\nPTP to KDV: 15027\nPTP to TKG: 18185\nPTP to HLA: 13196\nPTP to BYN: 14304\nTKG to LGP: 3300\nTKG to MCG: 16325\nTKG to UPG: 1622\nTKG to TGM: 10040\nTKG to KDV: 8243\nTKG to HLA: 9839\nTKG to BYN: 6495\nLGP to MCG: 13676\nLGP to UPG: 2785\nLGP to TGM: 10179\nLGP to KDV: 7252\nLGP to HLA: 11683\nLGP to BYN: 4865\nTGM to MCG: 12226\nTGM to UPG: 11230\nTGM to KDV: 16623\nTGM to HLA: 9194\nTGM to BYN: 6875\nBYN to MCG: 13018\nBYN to UPG: 6614\nBYN to KDV: 10760\nBYN to HLA: 12890\nUPG to MCG: 15817\nUPG to KDV: 7704\nUPG to HLA: 11029\nHLA to MCG: 19914\nHLA to KDV: 15395\nKDV to MCG: 10095\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DME, INN, AVV, HID, PYC, IMP, OMS, LXG, MZV\n- Travel distances (in kilometers) between each pair of airports:\nDME to OMS: 2223\nDME to PYC: 11655\nDME to INN: 2070\nDME to IMP: 10638\nDME to MZV: 8990\nDME to AVV: 15256\nDME to HID: 13470\nDME to LXG: 7545\nINN to PYC: 10367\nINN to IMP: 8663\nINN to MZV: 10785\nINN to OMS: 4293\nINN to AVV: 17122\nINN to HID: 15478\nINN to LXG: 9582\nAVV to PYC: 17693\nAVV to IMP: 16711\nAVV to MZV: 7170\nAVV to OMS: 13206\nAVV to HID: 3521\nAVV to LXG: 8914\nHID to PYC: 18668\nHID to IMP: 18682\nHID to MZV: 6026\nHID to OMS: 11420\nHID to LXG: 8023\nPYC to IMP: 5409\nPYC to MZV: 18037\nPYC to OMS: 13603\nPYC to LXG: 17813\nIMP to MZV: 18872\nIMP to OMS: 12861\nIMP to LXG: 17739\nOMS to MZV: 7091\nOMS to LXG: 5717\nLXG to MZV: 2807\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54129,
"style": "rule"
}
|
{
"exact_answer": 54129,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DME\", \"id\": 0}, {\"name\": \"INN\", \"id\": 1}, {\"name\": \"AVV\", \"id\": 2}, {\"name\": \"HID\", \"id\": 3}, {\"name\": \"PYC\", \"id\": 4}, {\"name\": \"IMP\", \"id\": 5}, {\"name\": \"OMS\", \"id\": 6}, {\"name\": \"LXG\", \"id\": 7}, {\"name\": \"MZV\", \"id\": 8}], \"links\": [{\"weight\": 2223, \"source\": 0, \"target\": 6}, {\"weight\": 11655, \"source\": 0, \"target\": 4}, {\"weight\": 2070, \"source\": 0, \"target\": 1}, {\"weight\": 10638, \"source\": 0, \"target\": 5}, {\"weight\": 8990, \"source\": 0, \"target\": 8}, {\"weight\": 15256, \"source\": 0, \"target\": 2}, {\"weight\": 13470, \"source\": 0, \"target\": 3}, {\"weight\": 7545, \"source\": 0, \"target\": 7}, {\"weight\": 10367, \"source\": 1, \"target\": 4}, {\"weight\": 8663, \"source\": 1, \"target\": 5}, {\"weight\": 10785, \"source\": 1, \"target\": 8}, {\"weight\": 4293, \"source\": 1, \"target\": 6}, {\"weight\": 17122, \"source\": 1, \"target\": 2}, {\"weight\": 15478, \"source\": 1, \"target\": 3}, {\"weight\": 9582, \"source\": 1, \"target\": 7}, {\"weight\": 17693, \"source\": 2, \"target\": 4}, {\"weight\": 16711, \"source\": 2, \"target\": 5}, {\"weight\": 7170, \"source\": 2, \"target\": 8}, {\"weight\": 13206, \"source\": 2, \"target\": 6}, {\"weight\": 3521, \"source\": 2, \"target\": 3}, {\"weight\": 8914, \"source\": 2, \"target\": 7}, {\"weight\": 18668, \"source\": 3, \"target\": 4}, {\"weight\": 18682, \"source\": 3, \"target\": 5}, {\"weight\": 6026, \"source\": 3, \"target\": 8}, {\"weight\": 11420, \"source\": 3, \"target\": 6}, {\"weight\": 8023, \"source\": 3, \"target\": 7}, {\"weight\": 5409, \"source\": 4, \"target\": 5}, {\"weight\": 18037, \"source\": 4, \"target\": 8}, {\"weight\": 13603, \"source\": 4, \"target\": 6}, {\"weight\": 17813, \"source\": 4, \"target\": 7}, {\"weight\": 18872, \"source\": 5, \"target\": 8}, {\"weight\": 12861, \"source\": 5, \"target\": 6}, {\"weight\": 17739, \"source\": 5, \"target\": 7}, {\"weight\": 7091, \"source\": 6, \"target\": 8}, {\"weight\": 5717, \"source\": 6, \"target\": 7}, {\"weight\": 2807, \"source\": 7, \"target\": 8}]}",
"id": 1659,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DME, INN, AVV, HID, PYC, IMP, OMS, LXG, MZV\n- Travel distances (in kilometers) between each pair of airports:\nDME to OMS: 2223\nDME to PYC: 11655\nDME to INN: 2070\nDME to IMP: 10638\nDME to MZV: 8990\nDME to AVV: 15256\nDME to HID: 13470\nDME to LXG: 7545\nINN to PYC: 10367\nINN to IMP: 8663\nINN to MZV: 10785\nINN to OMS: 4293\nINN to AVV: 17122\nINN to HID: 15478\nINN to LXG: 9582\nAVV to PYC: 17693\nAVV to IMP: 16711\nAVV to MZV: 7170\nAVV to OMS: 13206\nAVV to HID: 3521\nAVV to LXG: 8914\nHID to PYC: 18668\nHID to IMP: 18682\nHID to MZV: 6026\nHID to OMS: 11420\nHID to LXG: 8023\nPYC to IMP: 5409\nPYC to MZV: 18037\nPYC to OMS: 13603\nPYC to LXG: 17813\nIMP to MZV: 18872\nIMP to OMS: 12861\nIMP to LXG: 17739\nOMS to MZV: 7091\nOMS to LXG: 5717\nLXG to MZV: 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: JJA, NST, RCB, TIM, ALB, URT, CYF, WIN, AVA\n- Travel distances (in kilometers) between each pair of airports:\nJJA to CYF: 12626\nJJA to ALB: 15108\nJJA to URT: 7567\nJJA to AVA: 7583\nJJA to NST: 8317\nJJA to TIM: 7531\nJJA to RCB: 14542\nJJA to WIN: 3211\nNST to CYF: 15716\nNST to ALB: 15120\nNST to URT: 1163\nNST to AVA: 2863\nNST to TIM: 5844\nNST to RCB: 10707\nNST to WIN: 7736\nRCB to CYF: 19790\nRCB to ALB: 13519\nRCB to URT: 9753\nRCB to AVA: 11414\nRCB to TIM: 12924\nRCB to WIN: 13017\nTIM to CYF: 18176\nTIM to ALB: 18250\nTIM to URT: 4851\nTIM to AVA: 6072\nTIM to WIN: 6582\nALB to CYF: 6404\nALB to URT: 14991\nALB to AVA: 13053\nALB to WIN: 16654\nURT to CYF: 15644\nURT to AVA: 2808\nURT to WIN: 6777\nCYF to AVA: 13649\nCYF to WIN: 13976\nWIN to AVA: 7317\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62193,
"style": "rule"
}
|
{
"exact_answer": 62193,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JJA\", \"id\": 0}, {\"name\": \"NST\", \"id\": 1}, {\"name\": \"RCB\", \"id\": 2}, {\"name\": \"TIM\", \"id\": 3}, {\"name\": \"ALB\", \"id\": 4}, {\"name\": \"URT\", \"id\": 5}, {\"name\": \"CYF\", \"id\": 6}, {\"name\": \"WIN\", \"id\": 7}, {\"name\": \"AVA\", \"id\": 8}], \"links\": [{\"weight\": 12626, \"source\": 0, \"target\": 6}, {\"weight\": 15108, \"source\": 0, \"target\": 4}, {\"weight\": 7567, \"source\": 0, \"target\": 5}, {\"weight\": 7583, \"source\": 0, \"target\": 8}, {\"weight\": 8317, \"source\": 0, \"target\": 1}, {\"weight\": 7531, \"source\": 0, \"target\": 3}, {\"weight\": 14542, \"source\": 0, \"target\": 2}, {\"weight\": 3211, \"source\": 0, \"target\": 7}, {\"weight\": 15716, \"source\": 1, \"target\": 6}, {\"weight\": 15120, \"source\": 1, \"target\": 4}, {\"weight\": 1163, \"source\": 1, \"target\": 5}, {\"weight\": 2863, \"source\": 1, \"target\": 8}, {\"weight\": 5844, \"source\": 1, \"target\": 3}, {\"weight\": 10707, \"source\": 1, \"target\": 2}, {\"weight\": 7736, \"source\": 1, \"target\": 7}, {\"weight\": 19790, \"source\": 2, \"target\": 6}, {\"weight\": 13519, \"source\": 2, \"target\": 4}, {\"weight\": 9753, \"source\": 2, \"target\": 5}, {\"weight\": 11414, \"source\": 2, \"target\": 8}, {\"weight\": 12924, \"source\": 2, \"target\": 3}, {\"weight\": 13017, \"source\": 2, \"target\": 7}, {\"weight\": 18176, \"source\": 3, \"target\": 6}, {\"weight\": 18250, \"source\": 3, \"target\": 4}, {\"weight\": 4851, \"source\": 3, \"target\": 5}, {\"weight\": 6072, \"source\": 3, \"target\": 8}, {\"weight\": 6582, \"source\": 3, \"target\": 7}, {\"weight\": 6404, \"source\": 4, \"target\": 6}, {\"weight\": 14991, \"source\": 4, \"target\": 5}, {\"weight\": 13053, \"source\": 4, \"target\": 8}, {\"weight\": 16654, \"source\": 4, \"target\": 7}, {\"weight\": 15644, \"source\": 5, \"target\": 6}, {\"weight\": 2808, \"source\": 5, \"target\": 8}, {\"weight\": 6777, \"source\": 5, \"target\": 7}, {\"weight\": 13649, \"source\": 6, \"target\": 8}, {\"weight\": 13976, \"source\": 6, \"target\": 7}, {\"weight\": 7317, \"source\": 7, \"target\": 8}]}",
"id": 1660,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JJA, NST, RCB, TIM, ALB, URT, CYF, WIN, AVA\n- Travel distances (in kilometers) between each pair of airports:\nJJA to CYF: 12626\nJJA to ALB: 15108\nJJA to URT: 7567\nJJA to AVA: 7583\nJJA to NST: 8317\nJJA to TIM: 7531\nJJA to RCB: 14542\nJJA to WIN: 3211\nNST to CYF: 15716\nNST to ALB: 15120\nNST to URT: 1163\nNST to AVA: 2863\nNST to TIM: 5844\nNST to RCB: 10707\nNST to WIN: 7736\nRCB to CYF: 19790\nRCB to ALB: 13519\nRCB to URT: 9753\nRCB to AVA: 11414\nRCB to TIM: 12924\nRCB to WIN: 13017\nTIM to CYF: 18176\nTIM to ALB: 18250\nTIM to URT: 4851\nTIM to AVA: 6072\nTIM to WIN: 6582\nALB to CYF: 6404\nALB to URT: 14991\nALB to AVA: 13053\nALB to WIN: 16654\nURT to CYF: 15644\nURT to AVA: 2808\nURT to WIN: 6777\nCYF to AVA: 13649\nCYF to WIN: 13976\nWIN to AVA: 7317\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, OBY, PKU, ILI, YZY, AOK, CXI, ESU, WMI\n- Travel distances (in kilometers) between each pair of airports:\nZOS to AOK: 14309\nZOS to PKU: 18616\nZOS to ESU: 14212\nZOS to CXI: 15391\nZOS to WMI: 13809\nZOS to OBY: 16105\nZOS to YZY: 20714\nZOS to ILI: 13851\nOBY to AOK: 7454\nOBY to PKU: 14676\nOBY to ESU: 7402\nOBY to CXI: 15197\nOBY to WMI: 5569\nOBY to YZY: 12044\nOBY to ILI: 11413\nPKU to AOK: 9321\nPKU to ESU: 12457\nPKU to CXI: 12151\nPKU to WMI: 9999\nPKU to YZY: 4368\nPKU to ILI: 15876\nILI to AOK: 13045\nILI to ESU: 12881\nILI to CXI: 6935\nILI to WMI: 11222\nILI to YZY: 12935\nYZY to AOK: 7702\nYZY to ESU: 10298\nYZY to CXI: 11899\nYZY to WMI: 7466\nAOK to ESU: 3959\nAOK to CXI: 16754\nAOK to WMI: 2037\nCXI to ESU: 16623\nCXI to WMI: 15006\nESU to WMI: 3390\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 73941,
"style": "rule"
}
|
{
"exact_answer": 73941,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZOS\", \"id\": 0}, {\"name\": \"OBY\", \"id\": 1}, {\"name\": \"PKU\", \"id\": 2}, {\"name\": \"ILI\", \"id\": 3}, {\"name\": \"YZY\", \"id\": 4}, {\"name\": \"AOK\", \"id\": 5}, {\"name\": \"CXI\", \"id\": 6}, {\"name\": \"ESU\", \"id\": 7}, {\"name\": \"WMI\", \"id\": 8}], \"links\": [{\"weight\": 14309, \"source\": 0, \"target\": 5}, {\"weight\": 18616, \"source\": 0, \"target\": 2}, {\"weight\": 14212, \"source\": 0, \"target\": 7}, {\"weight\": 15391, \"source\": 0, \"target\": 6}, {\"weight\": 13809, \"source\": 0, \"target\": 8}, {\"weight\": 16105, \"source\": 0, \"target\": 1}, {\"weight\": 20714, \"source\": 0, \"target\": 4}, {\"weight\": 13851, \"source\": 0, \"target\": 3}, {\"weight\": 7454, \"source\": 1, \"target\": 5}, {\"weight\": 14676, \"source\": 1, \"target\": 2}, {\"weight\": 7402, \"source\": 1, \"target\": 7}, {\"weight\": 15197, \"source\": 1, \"target\": 6}, {\"weight\": 5569, \"source\": 1, \"target\": 8}, {\"weight\": 12044, \"source\": 1, \"target\": 4}, {\"weight\": 11413, \"source\": 1, \"target\": 3}, {\"weight\": 9321, \"source\": 2, \"target\": 5}, {\"weight\": 12457, \"source\": 2, \"target\": 7}, {\"weight\": 12151, \"source\": 2, \"target\": 6}, {\"weight\": 9999, \"source\": 2, \"target\": 8}, {\"weight\": 4368, \"source\": 2, \"target\": 4}, {\"weight\": 15876, \"source\": 2, \"target\": 3}, {\"weight\": 13045, \"source\": 3, \"target\": 5}, {\"weight\": 12881, \"source\": 3, \"target\": 7}, {\"weight\": 6935, \"source\": 3, \"target\": 6}, {\"weight\": 11222, \"source\": 3, \"target\": 8}, {\"weight\": 12935, \"source\": 3, \"target\": 4}, {\"weight\": 7702, \"source\": 4, \"target\": 5}, {\"weight\": 10298, \"source\": 4, \"target\": 7}, {\"weight\": 11899, \"source\": 4, \"target\": 6}, {\"weight\": 7466, \"source\": 4, \"target\": 8}, {\"weight\": 3959, \"source\": 5, \"target\": 7}, {\"weight\": 16754, \"source\": 5, \"target\": 6}, {\"weight\": 2037, \"source\": 5, \"target\": 8}, {\"weight\": 16623, \"source\": 6, \"target\": 7}, {\"weight\": 15006, \"source\": 6, \"target\": 8}, {\"weight\": 3390, \"source\": 7, \"target\": 8}]}",
"id": 1661,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, OBY, PKU, ILI, YZY, AOK, CXI, ESU, WMI\n- Travel distances (in kilometers) between each pair of airports:\nZOS to AOK: 14309\nZOS to PKU: 18616\nZOS to ESU: 14212\nZOS to CXI: 15391\nZOS to WMI: 13809\nZOS to OBY: 16105\nZOS to YZY: 20714\nZOS to ILI: 13851\nOBY to AOK: 7454\nOBY to PKU: 14676\nOBY to ESU: 7402\nOBY to CXI: 15197\nOBY to WMI: 5569\nOBY to YZY: 12044\nOBY to ILI: 11413\nPKU to AOK: 9321\nPKU to ESU: 12457\nPKU to CXI: 12151\nPKU to WMI: 9999\nPKU to YZY: 4368\nPKU to ILI: 15876\nILI to AOK: 13045\nILI to ESU: 12881\nILI to CXI: 6935\nILI to WMI: 11222\nILI to YZY: 12935\nYZY to AOK: 7702\nYZY to ESU: 10298\nYZY to CXI: 11899\nYZY to WMI: 7466\nAOK to ESU: 3959\nAOK to CXI: 16754\nAOK to WMI: 2037\nCXI to ESU: 16623\nCXI to WMI: 15006\nESU to WMI: 3390\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CWB, OGD, SUG, BLQ, HGH, YEK, KWT, YSO, LUX\n- Travel distances (in kilometers) between each pair of airports:\nCWB to SUG: 19051\nCWB to HGH: 18896\nCWB to BLQ: 9940\nCWB to KWT: 13731\nCWB to YEK: 10928\nCWB to LUX: 9986\nCWB to OGD: 11014\nCWB to YSO: 9755\nOGD to SUG: 13666\nOGD to HGH: 11966\nOGD to BLQ: 10521\nOGD to KWT: 5684\nOGD to YEK: 4692\nOGD to LUX: 9871\nOGD to YSO: 5946\nSUG to HGH: 2465\nSUG to BLQ: 11142\nSUG to KWT: 14094\nSUG to YEK: 13854\nSUG to LUX: 11189\nSUG to YSO: 15838\nBLQ to HGH: 9168\nBLQ to KWT: 11814\nBLQ to YEK: 8751\nBLQ to LUX: 820\nBLQ to YSO: 5893\nHGH to KWT: 12335\nHGH to YEK: 12303\nHGH to LUX: 9097\nHGH to YSO: 13678\nYEK to KWT: 6165\nYEK to LUX: 8100\nYEK to YSO: 3220\nKWT to LUX: 11140\nKWT to YSO: 7804\nYSO to LUX: 5242\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59767,
"style": "rule"
}
|
{
"exact_answer": 59767,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CWB\", \"id\": 0}, {\"name\": \"OGD\", \"id\": 1}, {\"name\": \"SUG\", \"id\": 2}, {\"name\": \"BLQ\", \"id\": 3}, {\"name\": \"HGH\", \"id\": 4}, {\"name\": \"YEK\", \"id\": 5}, {\"name\": \"KWT\", \"id\": 6}, {\"name\": \"YSO\", \"id\": 7}, {\"name\": \"LUX\", \"id\": 8}], \"links\": [{\"weight\": 19051, \"source\": 0, \"target\": 2}, {\"weight\": 18896, \"source\": 0, \"target\": 4}, {\"weight\": 9940, \"source\": 0, \"target\": 3}, {\"weight\": 13731, \"source\": 0, \"target\": 6}, {\"weight\": 10928, \"source\": 0, \"target\": 5}, {\"weight\": 9986, \"source\": 0, \"target\": 8}, {\"weight\": 11014, \"source\": 0, \"target\": 1}, {\"weight\": 9755, \"source\": 0, \"target\": 7}, {\"weight\": 13666, \"source\": 1, \"target\": 2}, {\"weight\": 11966, \"source\": 1, \"target\": 4}, {\"weight\": 10521, \"source\": 1, \"target\": 3}, {\"weight\": 5684, \"source\": 1, \"target\": 6}, {\"weight\": 4692, \"source\": 1, \"target\": 5}, {\"weight\": 9871, \"source\": 1, \"target\": 8}, {\"weight\": 5946, \"source\": 1, \"target\": 7}, {\"weight\": 2465, \"source\": 2, \"target\": 4}, {\"weight\": 11142, \"source\": 2, \"target\": 3}, {\"weight\": 14094, \"source\": 2, \"target\": 6}, {\"weight\": 13854, \"source\": 2, \"target\": 5}, {\"weight\": 11189, \"source\": 2, \"target\": 8}, {\"weight\": 15838, \"source\": 2, \"target\": 7}, {\"weight\": 9168, \"source\": 3, \"target\": 4}, {\"weight\": 11814, \"source\": 3, \"target\": 6}, {\"weight\": 8751, \"source\": 3, \"target\": 5}, {\"weight\": 820, \"source\": 3, \"target\": 8}, {\"weight\": 5893, \"source\": 3, \"target\": 7}, {\"weight\": 12335, \"source\": 4, \"target\": 6}, {\"weight\": 12303, \"source\": 4, \"target\": 5}, {\"weight\": 9097, \"source\": 4, \"target\": 8}, {\"weight\": 13678, \"source\": 4, \"target\": 7}, {\"weight\": 6165, \"source\": 5, \"target\": 6}, {\"weight\": 8100, \"source\": 5, \"target\": 8}, {\"weight\": 3220, \"source\": 5, \"target\": 7}, {\"weight\": 11140, \"source\": 6, \"target\": 8}, {\"weight\": 7804, \"source\": 6, \"target\": 7}, {\"weight\": 5242, \"source\": 7, \"target\": 8}]}",
"id": 1662,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CWB, OGD, SUG, BLQ, HGH, YEK, KWT, YSO, LUX\n- Travel distances (in kilometers) between each pair of airports:\nCWB to SUG: 19051\nCWB to HGH: 18896\nCWB to BLQ: 9940\nCWB to KWT: 13731\nCWB to YEK: 10928\nCWB to LUX: 9986\nCWB to OGD: 11014\nCWB to YSO: 9755\nOGD to SUG: 13666\nOGD to HGH: 11966\nOGD to BLQ: 10521\nOGD to KWT: 5684\nOGD to YEK: 4692\nOGD to LUX: 9871\nOGD to YSO: 5946\nSUG to HGH: 2465\nSUG to BLQ: 11142\nSUG to KWT: 14094\nSUG to YEK: 13854\nSUG to LUX: 11189\nSUG to YSO: 15838\nBLQ to HGH: 9168\nBLQ to KWT: 11814\nBLQ to YEK: 8751\nBLQ to LUX: 820\nBLQ to YSO: 5893\nHGH to KWT: 12335\nHGH to YEK: 12303\nHGH to LUX: 9097\nHGH to YSO: 13678\nYEK to KWT: 6165\nYEK to LUX: 8100\nYEK to YSO: 3220\nKWT to LUX: 11140\nKWT to YSO: 7804\nYSO to LUX: 5242\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBZ, SKU, VOL, PLM, SKP, ELH, FPO, ITB, YLE\n- Travel distances (in kilometers) between each pair of airports:\nPBZ to ELH: 14886\nPBZ to FPO: 15003\nPBZ to SKP: 9059\nPBZ to YLE: 17382\nPBZ to SKU: 8497\nPBZ to VOL: 8983\nPBZ to ITB: 11854\nPBZ to PLM: 10138\nSKU to ELH: 9453\nSKU to FPO: 9555\nSKU to SKP: 1074\nSKU to YLE: 10249\nSKU to VOL: 734\nSKU to ITB: 10403\nSKU to PLM: 9614\nVOL to ELH: 9445\nVOL to FPO: 9455\nVOL to SKP: 1711\nVOL to YLE: 10146\nVOL to ITB: 10889\nVOL to PLM: 10100\nPLM to ELH: 17691\nPLM to FPO: 17405\nPLM to SKP: 9693\nPLM to YLE: 15206\nPLM to ITB: 19267\nSKP to ELH: 9047\nSKP to FPO: 9155\nSKP to YLE: 9840\nSKP to ITB: 10099\nELH to FPO: 301\nELH to YLE: 5617\nELH to ITB: 4942\nFPO to YLE: 5343\nFPO to ITB: 4886\nITB to YLE: 9963\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54225,
"style": "rule"
}
|
{
"exact_answer": 54225,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PBZ\", \"id\": 0}, {\"name\": \"SKU\", \"id\": 1}, {\"name\": \"VOL\", \"id\": 2}, {\"name\": \"PLM\", \"id\": 3}, {\"name\": \"SKP\", \"id\": 4}, {\"name\": \"ELH\", \"id\": 5}, {\"name\": \"FPO\", \"id\": 6}, {\"name\": \"ITB\", \"id\": 7}, {\"name\": \"YLE\", \"id\": 8}], \"links\": [{\"weight\": 14886, \"source\": 0, \"target\": 5}, {\"weight\": 15003, \"source\": 0, \"target\": 6}, {\"weight\": 9059, \"source\": 0, \"target\": 4}, {\"weight\": 17382, \"source\": 0, \"target\": 8}, {\"weight\": 8497, \"source\": 0, \"target\": 1}, {\"weight\": 8983, \"source\": 0, \"target\": 2}, {\"weight\": 11854, \"source\": 0, \"target\": 7}, {\"weight\": 10138, \"source\": 0, \"target\": 3}, {\"weight\": 9453, \"source\": 1, \"target\": 5}, {\"weight\": 9555, \"source\": 1, \"target\": 6}, {\"weight\": 1074, \"source\": 1, \"target\": 4}, {\"weight\": 10249, \"source\": 1, \"target\": 8}, {\"weight\": 734, \"source\": 1, \"target\": 2}, {\"weight\": 10403, \"source\": 1, \"target\": 7}, {\"weight\": 9614, \"source\": 1, \"target\": 3}, {\"weight\": 9445, \"source\": 2, \"target\": 5}, {\"weight\": 9455, \"source\": 2, \"target\": 6}, {\"weight\": 1711, \"source\": 2, \"target\": 4}, {\"weight\": 10146, \"source\": 2, \"target\": 8}, {\"weight\": 10889, \"source\": 2, \"target\": 7}, {\"weight\": 10100, \"source\": 2, \"target\": 3}, {\"weight\": 17691, \"source\": 3, \"target\": 5}, {\"weight\": 17405, \"source\": 3, \"target\": 6}, {\"weight\": 9693, \"source\": 3, \"target\": 4}, {\"weight\": 15206, \"source\": 3, \"target\": 8}, {\"weight\": 19267, \"source\": 3, \"target\": 7}, {\"weight\": 9047, \"source\": 4, \"target\": 5}, {\"weight\": 9155, \"source\": 4, \"target\": 6}, {\"weight\": 9840, \"source\": 4, \"target\": 8}, {\"weight\": 10099, \"source\": 4, \"target\": 7}, {\"weight\": 301, \"source\": 5, \"target\": 6}, {\"weight\": 5617, \"source\": 5, \"target\": 8}, {\"weight\": 4942, \"source\": 5, \"target\": 7}, {\"weight\": 5343, \"source\": 6, \"target\": 8}, {\"weight\": 4886, \"source\": 6, \"target\": 7}, {\"weight\": 9963, \"source\": 7, \"target\": 8}]}",
"id": 1663,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBZ, SKU, VOL, PLM, SKP, ELH, FPO, ITB, YLE\n- Travel distances (in kilometers) between each pair of airports:\nPBZ to ELH: 14886\nPBZ to FPO: 15003\nPBZ to SKP: 9059\nPBZ to YLE: 17382\nPBZ to SKU: 8497\nPBZ to VOL: 8983\nPBZ to ITB: 11854\nPBZ to PLM: 10138\nSKU to ELH: 9453\nSKU to FPO: 9555\nSKU to SKP: 1074\nSKU to YLE: 10249\nSKU to VOL: 734\nSKU to ITB: 10403\nSKU to PLM: 9614\nVOL to ELH: 9445\nVOL to FPO: 9455\nVOL to SKP: 1711\nVOL to YLE: 10146\nVOL to ITB: 10889\nVOL to PLM: 10100\nPLM to ELH: 17691\nPLM to FPO: 17405\nPLM to SKP: 9693\nPLM to YLE: 15206\nPLM to ITB: 19267\nSKP to ELH: 9047\nSKP to FPO: 9155\nSKP to YLE: 9840\nSKP to ITB: 10099\nELH to FPO: 301\nELH to YLE: 5617\nELH to ITB: 4942\nFPO to YLE: 5343\nFPO to ITB: 4886\nITB to YLE: 9963\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLI, HKK, WNH, SNA, TGD, BDA, SVA, IAN, BQK\n- Travel distances (in kilometers) between each pair of airports:\nSLI to SNA: 16234\nSLI to SVA: 19094\nSLI to IAN: 18942\nSLI to BDA: 13502\nSLI to BQK: 13610\nSLI to TGD: 7424\nSLI to WNH: 9760\nSLI to HKK: 14920\nHKK to SNA: 12002\nHKK to SVA: 13583\nHKK to IAN: 13431\nHKK to BDA: 16351\nHKK to BQK: 14890\nHKK to TGD: 18028\nHKK to WNH: 11008\nWNH to SNA: 12441\nWNH to SVA: 14478\nWNH to IAN: 14326\nWNH to BDA: 14553\nWNH to BQK: 14270\nWNH to TGD: 8097\nSNA to SVA: 4985\nSNA to IAN: 4833\nSNA to BDA: 4925\nSNA to BQK: 3464\nSNA to TGD: 10509\nTGD to SVA: 12829\nTGD to IAN: 12677\nTGD to BDA: 7308\nTGD to BQK: 8925\nBDA to SVA: 8003\nBDA to IAN: 7851\nBDA to BQK: 2227\nSVA to IAN: 649\nSVA to BQK: 7009\nIAN to BQK: 6857\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60256,
"style": "rule"
}
|
{
"exact_answer": 60256,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLI\", \"id\": 0}, {\"name\": \"HKK\", \"id\": 1}, {\"name\": \"WNH\", \"id\": 2}, {\"name\": \"SNA\", \"id\": 3}, {\"name\": \"TGD\", \"id\": 4}, {\"name\": \"BDA\", \"id\": 5}, {\"name\": \"SVA\", \"id\": 6}, {\"name\": \"IAN\", \"id\": 7}, {\"name\": \"BQK\", \"id\": 8}], \"links\": [{\"weight\": 16234, \"source\": 0, \"target\": 3}, {\"weight\": 19094, \"source\": 0, \"target\": 6}, {\"weight\": 18942, \"source\": 0, \"target\": 7}, {\"weight\": 13502, \"source\": 0, \"target\": 5}, {\"weight\": 13610, \"source\": 0, \"target\": 8}, {\"weight\": 7424, \"source\": 0, \"target\": 4}, {\"weight\": 9760, \"source\": 0, \"target\": 2}, {\"weight\": 14920, \"source\": 0, \"target\": 1}, {\"weight\": 12002, \"source\": 1, \"target\": 3}, {\"weight\": 13583, \"source\": 1, \"target\": 6}, {\"weight\": 13431, \"source\": 1, \"target\": 7}, {\"weight\": 16351, \"source\": 1, \"target\": 5}, {\"weight\": 14890, \"source\": 1, \"target\": 8}, {\"weight\": 18028, \"source\": 1, \"target\": 4}, {\"weight\": 11008, \"source\": 1, \"target\": 2}, {\"weight\": 12441, \"source\": 2, \"target\": 3}, {\"weight\": 14478, \"source\": 2, \"target\": 6}, {\"weight\": 14326, \"source\": 2, \"target\": 7}, {\"weight\": 14553, \"source\": 2, \"target\": 5}, {\"weight\": 14270, \"source\": 2, \"target\": 8}, {\"weight\": 8097, \"source\": 2, \"target\": 4}, {\"weight\": 4985, \"source\": 3, \"target\": 6}, {\"weight\": 4833, \"source\": 3, \"target\": 7}, {\"weight\": 4925, \"source\": 3, \"target\": 5}, {\"weight\": 3464, \"source\": 3, \"target\": 8}, {\"weight\": 10509, \"source\": 3, \"target\": 4}, {\"weight\": 12829, \"source\": 4, \"target\": 6}, {\"weight\": 12677, \"source\": 4, \"target\": 7}, {\"weight\": 7308, \"source\": 4, \"target\": 5}, {\"weight\": 8925, \"source\": 4, \"target\": 8}, {\"weight\": 8003, \"source\": 5, \"target\": 6}, {\"weight\": 7851, \"source\": 5, \"target\": 7}, {\"weight\": 2227, \"source\": 5, \"target\": 8}, {\"weight\": 649, \"source\": 6, \"target\": 7}, {\"weight\": 7009, \"source\": 6, \"target\": 8}, {\"weight\": 6857, \"source\": 7, \"target\": 8}]}",
"id": 1664,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLI, HKK, WNH, SNA, TGD, BDA, SVA, IAN, BQK\n- Travel distances (in kilometers) between each pair of airports:\nSLI to SNA: 16234\nSLI to SVA: 19094\nSLI to IAN: 18942\nSLI to BDA: 13502\nSLI to BQK: 13610\nSLI to TGD: 7424\nSLI to WNH: 9760\nSLI to HKK: 14920\nHKK to SNA: 12002\nHKK to SVA: 13583\nHKK to IAN: 13431\nHKK to BDA: 16351\nHKK to BQK: 14890\nHKK to TGD: 18028\nHKK to WNH: 11008\nWNH to SNA: 12441\nWNH to SVA: 14478\nWNH to IAN: 14326\nWNH to BDA: 14553\nWNH to BQK: 14270\nWNH to TGD: 8097\nSNA to SVA: 4985\nSNA to IAN: 4833\nSNA to BDA: 4925\nSNA to BQK: 3464\nSNA to TGD: 10509\nTGD to SVA: 12829\nTGD to IAN: 12677\nTGD to BDA: 7308\nTGD to BQK: 8925\nBDA to SVA: 8003\nBDA to IAN: 7851\nBDA to BQK: 2227\nSVA to IAN: 649\nSVA to BQK: 7009\nIAN to BQK: 6857\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LKH, EDI, KGP, TDX, ZRH, CHQ, YSK, MZT\n- Travel distances (in kilometers) between each pair of airports:\nEMK to ZRH: 11603\nEMK to YSK: 6477\nEMK to MZT: 6209\nEMK to EDI: 10356\nEMK to CHQ: 13402\nEMK to LKH: 15342\nEMK to TDX: 15387\nEMK to KGP: 14486\nLKH to ZRH: 11222\nLKH to YSK: 15098\nLKH to MZT: 14934\nLKH to EDI: 11785\nLKH to CHQ: 10378\nLKH to TDX: 2400\nLKH to KGP: 9006\nEDI to ZRH: 1247\nEDI to YSK: 6841\nEDI to MZT: 8842\nEDI to CHQ: 3076\nEDI to TDX: 9847\nEDI to KGP: 4788\nKGP to ZRH: 4597\nKGP to YSK: 11090\nKGP to MZT: 13021\nKGP to CHQ: 4660\nKGP to TDX: 7068\nTDX to ZRH: 9284\nTDX to YSK: 15302\nTDX to MZT: 15207\nTDX to CHQ: 8440\nZRH to YSK: 7171\nZRH to MZT: 9823\nZRH to CHQ: 1906\nCHQ to YSK: 9052\nCHQ to MZT: 11678\nYSK to MZT: 4816\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50489,
"style": "rule"
}
|
{
"exact_answer": 50489,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EMK\", \"id\": 0}, {\"name\": \"LKH\", \"id\": 1}, {\"name\": \"EDI\", \"id\": 2}, {\"name\": \"KGP\", \"id\": 3}, {\"name\": \"TDX\", \"id\": 4}, {\"name\": \"ZRH\", \"id\": 5}, {\"name\": \"CHQ\", \"id\": 6}, {\"name\": \"YSK\", \"id\": 7}, {\"name\": \"MZT\", \"id\": 8}], \"links\": [{\"weight\": 11603, \"source\": 0, \"target\": 5}, {\"weight\": 6477, \"source\": 0, \"target\": 7}, {\"weight\": 6209, \"source\": 0, \"target\": 8}, {\"weight\": 10356, \"source\": 0, \"target\": 2}, {\"weight\": 13402, \"source\": 0, \"target\": 6}, {\"weight\": 15342, \"source\": 0, \"target\": 1}, {\"weight\": 15387, \"source\": 0, \"target\": 4}, {\"weight\": 14486, \"source\": 0, \"target\": 3}, {\"weight\": 11222, \"source\": 1, \"target\": 5}, {\"weight\": 15098, \"source\": 1, \"target\": 7}, {\"weight\": 14934, \"source\": 1, \"target\": 8}, {\"weight\": 11785, \"source\": 1, \"target\": 2}, {\"weight\": 10378, \"source\": 1, \"target\": 6}, {\"weight\": 2400, \"source\": 1, \"target\": 4}, {\"weight\": 9006, \"source\": 1, \"target\": 3}, {\"weight\": 1247, \"source\": 2, \"target\": 5}, {\"weight\": 6841, \"source\": 2, \"target\": 7}, {\"weight\": 8842, \"source\": 2, \"target\": 8}, {\"weight\": 3076, \"source\": 2, \"target\": 6}, {\"weight\": 9847, \"source\": 2, \"target\": 4}, {\"weight\": 4788, \"source\": 2, \"target\": 3}, {\"weight\": 4597, \"source\": 3, \"target\": 5}, {\"weight\": 11090, \"source\": 3, \"target\": 7}, {\"weight\": 13021, \"source\": 3, \"target\": 8}, {\"weight\": 4660, \"source\": 3, \"target\": 6}, {\"weight\": 7068, \"source\": 3, \"target\": 4}, {\"weight\": 9284, \"source\": 4, \"target\": 5}, {\"weight\": 15302, \"source\": 4, \"target\": 7}, {\"weight\": 15207, \"source\": 4, \"target\": 8}, {\"weight\": 8440, \"source\": 4, \"target\": 6}, {\"weight\": 7171, \"source\": 5, \"target\": 7}, {\"weight\": 9823, \"source\": 5, \"target\": 8}, {\"weight\": 1906, \"source\": 5, \"target\": 6}, {\"weight\": 9052, \"source\": 6, \"target\": 7}, {\"weight\": 11678, \"source\": 6, \"target\": 8}, {\"weight\": 4816, \"source\": 7, \"target\": 8}]}",
"id": 1665,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LKH, EDI, KGP, TDX, ZRH, CHQ, YSK, MZT\n- Travel distances (in kilometers) between each pair of airports:\nEMK to ZRH: 11603\nEMK to YSK: 6477\nEMK to MZT: 6209\nEMK to EDI: 10356\nEMK to CHQ: 13402\nEMK to LKH: 15342\nEMK to TDX: 15387\nEMK to KGP: 14486\nLKH to ZRH: 11222\nLKH to YSK: 15098\nLKH to MZT: 14934\nLKH to EDI: 11785\nLKH to CHQ: 10378\nLKH to TDX: 2400\nLKH to KGP: 9006\nEDI to ZRH: 1247\nEDI to YSK: 6841\nEDI to MZT: 8842\nEDI to CHQ: 3076\nEDI to TDX: 9847\nEDI to KGP: 4788\nKGP to ZRH: 4597\nKGP to YSK: 11090\nKGP to MZT: 13021\nKGP to CHQ: 4660\nKGP to TDX: 7068\nTDX to ZRH: 9284\nTDX to YSK: 15302\nTDX to MZT: 15207\nTDX to CHQ: 8440\nZRH to YSK: 7171\nZRH to MZT: 9823\nZRH to CHQ: 1906\nCHQ to YSK: 9052\nCHQ to MZT: 11678\nYSK to MZT: 4816\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACU, ASU, MXH, ZUH, KRT, ESB, LKO, ALC, JUK\n- Travel distances (in kilometers) between each pair of airports:\nACU to ZUH: 16674\nACU to ASU: 5723\nACU to LKO: 16428\nACU to ALC: 9548\nACU to KRT: 14162\nACU to MXH: 17912\nACU to ESB: 12266\nACU to JUK: 10603\nASU to ZUH: 19227\nASU to LKO: 15904\nASU to ALC: 9603\nASU to KRT: 10851\nASU to MXH: 16164\nASU to ESB: 12067\nASU to JUK: 14284\nMXH to ZUH: 6200\nMXH to LKO: 9143\nMXH to ALC: 16058\nMXH to KRT: 13724\nMXH to ESB: 13422\nMXH to JUK: 18075\nZUH to LKO: 3521\nZUH to ALC: 10546\nZUH to KRT: 8475\nZUH to ESB: 7925\nZUH to JUK: 12459\nKRT to LKO: 5154\nKRT to ALC: 4700\nKRT to ESB: 3085\nKRT to JUK: 8733\nESB to LKO: 4653\nESB to ALC: 2905\nESB to JUK: 6277\nLKO to ALC: 7511\nLKO to JUK: 10178\nALC to JUK: 5411\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58766,
"style": "rule"
}
|
{
"exact_answer": 58766,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACU\", \"id\": 0}, {\"name\": \"ASU\", \"id\": 1}, {\"name\": \"MXH\", \"id\": 2}, {\"name\": \"ZUH\", \"id\": 3}, {\"name\": \"KRT\", \"id\": 4}, {\"name\": \"ESB\", \"id\": 5}, {\"name\": \"LKO\", \"id\": 6}, {\"name\": \"ALC\", \"id\": 7}, {\"name\": \"JUK\", \"id\": 8}], \"links\": [{\"weight\": 16674, \"source\": 0, \"target\": 3}, {\"weight\": 5723, \"source\": 0, \"target\": 1}, {\"weight\": 16428, \"source\": 0, \"target\": 6}, {\"weight\": 9548, \"source\": 0, \"target\": 7}, {\"weight\": 14162, \"source\": 0, \"target\": 4}, {\"weight\": 17912, \"source\": 0, \"target\": 2}, {\"weight\": 12266, \"source\": 0, \"target\": 5}, {\"weight\": 10603, \"source\": 0, \"target\": 8}, {\"weight\": 19227, \"source\": 1, \"target\": 3}, {\"weight\": 15904, \"source\": 1, \"target\": 6}, {\"weight\": 9603, \"source\": 1, \"target\": 7}, {\"weight\": 10851, \"source\": 1, \"target\": 4}, {\"weight\": 16164, \"source\": 1, \"target\": 2}, {\"weight\": 12067, \"source\": 1, \"target\": 5}, {\"weight\": 14284, \"source\": 1, \"target\": 8}, {\"weight\": 6200, \"source\": 2, \"target\": 3}, {\"weight\": 9143, \"source\": 2, \"target\": 6}, {\"weight\": 16058, \"source\": 2, \"target\": 7}, {\"weight\": 13724, \"source\": 2, \"target\": 4}, {\"weight\": 13422, \"source\": 2, \"target\": 5}, {\"weight\": 18075, \"source\": 2, \"target\": 8}, {\"weight\": 3521, \"source\": 3, \"target\": 6}, {\"weight\": 10546, \"source\": 3, \"target\": 7}, {\"weight\": 8475, \"source\": 3, \"target\": 4}, {\"weight\": 7925, \"source\": 3, \"target\": 5}, {\"weight\": 12459, \"source\": 3, \"target\": 8}, {\"weight\": 5154, \"source\": 4, \"target\": 6}, {\"weight\": 4700, \"source\": 4, \"target\": 7}, {\"weight\": 3085, \"source\": 4, \"target\": 5}, {\"weight\": 8733, \"source\": 4, \"target\": 8}, {\"weight\": 4653, \"source\": 5, \"target\": 6}, {\"weight\": 2905, \"source\": 5, \"target\": 7}, {\"weight\": 6277, \"source\": 5, \"target\": 8}, {\"weight\": 7511, \"source\": 6, \"target\": 7}, {\"weight\": 10178, \"source\": 6, \"target\": 8}, {\"weight\": 5411, \"source\": 7, \"target\": 8}]}",
"id": 1666,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACU, ASU, MXH, ZUH, KRT, ESB, LKO, ALC, JUK\n- Travel distances (in kilometers) between each pair of airports:\nACU to ZUH: 16674\nACU to ASU: 5723\nACU to LKO: 16428\nACU to ALC: 9548\nACU to KRT: 14162\nACU to MXH: 17912\nACU to ESB: 12266\nACU to JUK: 10603\nASU to ZUH: 19227\nASU to LKO: 15904\nASU to ALC: 9603\nASU to KRT: 10851\nASU to MXH: 16164\nASU to ESB: 12067\nASU to JUK: 14284\nMXH to ZUH: 6200\nMXH to LKO: 9143\nMXH to ALC: 16058\nMXH to KRT: 13724\nMXH to ESB: 13422\nMXH to JUK: 18075\nZUH to LKO: 3521\nZUH to ALC: 10546\nZUH to KRT: 8475\nZUH to ESB: 7925\nZUH to JUK: 12459\nKRT to LKO: 5154\nKRT to ALC: 4700\nKRT to ESB: 3085\nKRT to JUK: 8733\nESB to LKO: 4653\nESB to ALC: 2905\nESB to JUK: 6277\nLKO to ALC: 7511\nLKO to JUK: 10178\nALC to JUK: 5411\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, WRE, YFO, MAS, OME, SUB, HRB, NUP, OSD\n- Travel distances (in kilometers) between each pair of airports:\nAZI to HRB: 6928\nAZI to NUP: 15054\nAZI to OME: 15245\nAZI to SUB: 7344\nAZI to MAS: 11729\nAZI to OSD: 5347\nAZI to YFO: 13224\nAZI to WRE: 14473\nWRE to HRB: 10537\nWRE to NUP: 12377\nWRE to OME: 12568\nWRE to SUB: 7226\nWRE to MAS: 5346\nWRE to OSD: 17637\nWRE to YFO: 13724\nYFO to HRB: 11374\nYFO to NUP: 5523\nYFO to OME: 5714\nYFO to SUB: 15441\nYFO to MAS: 15642\nYFO to OSD: 8858\nMAS to HRB: 7526\nMAS to NUP: 14462\nMAS to OME: 14653\nMAS to SUB: 4641\nMAS to OSD: 14523\nOME to HRB: 12469\nOME to NUP: 617\nOME to SUB: 16504\nOME to OSD: 11575\nSUB to HRB: 6044\nSUB to NUP: 16313\nSUB to OSD: 11482\nHRB to NUP: 12278\nHRB to OSD: 7283\nNUP to OSD: 11384\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55872,
"style": "rule"
}
|
{
"exact_answer": 55872,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AZI\", \"id\": 0}, {\"name\": \"WRE\", \"id\": 1}, {\"name\": \"YFO\", \"id\": 2}, {\"name\": \"MAS\", \"id\": 3}, {\"name\": \"OME\", \"id\": 4}, {\"name\": \"SUB\", \"id\": 5}, {\"name\": \"HRB\", \"id\": 6}, {\"name\": \"NUP\", \"id\": 7}, {\"name\": \"OSD\", \"id\": 8}], \"links\": [{\"weight\": 6928, \"source\": 0, \"target\": 6}, {\"weight\": 15054, \"source\": 0, \"target\": 7}, {\"weight\": 15245, \"source\": 0, \"target\": 4}, {\"weight\": 7344, \"source\": 0, \"target\": 5}, {\"weight\": 11729, \"source\": 0, \"target\": 3}, {\"weight\": 5347, \"source\": 0, \"target\": 8}, {\"weight\": 13224, \"source\": 0, \"target\": 2}, {\"weight\": 14473, \"source\": 0, \"target\": 1}, {\"weight\": 10537, \"source\": 1, \"target\": 6}, {\"weight\": 12377, \"source\": 1, \"target\": 7}, {\"weight\": 12568, \"source\": 1, \"target\": 4}, {\"weight\": 7226, \"source\": 1, \"target\": 5}, {\"weight\": 5346, \"source\": 1, \"target\": 3}, {\"weight\": 17637, \"source\": 1, \"target\": 8}, {\"weight\": 13724, \"source\": 1, \"target\": 2}, {\"weight\": 11374, \"source\": 2, \"target\": 6}, {\"weight\": 5523, \"source\": 2, \"target\": 7}, {\"weight\": 5714, \"source\": 2, \"target\": 4}, {\"weight\": 15441, \"source\": 2, \"target\": 5}, {\"weight\": 15642, \"source\": 2, \"target\": 3}, {\"weight\": 8858, \"source\": 2, \"target\": 8}, {\"weight\": 7526, \"source\": 3, \"target\": 6}, {\"weight\": 14462, \"source\": 3, \"target\": 7}, {\"weight\": 14653, \"source\": 3, \"target\": 4}, {\"weight\": 4641, \"source\": 3, \"target\": 5}, {\"weight\": 14523, \"source\": 3, \"target\": 8}, {\"weight\": 12469, \"source\": 4, \"target\": 6}, {\"weight\": 617, \"source\": 4, \"target\": 7}, {\"weight\": 16504, \"source\": 4, \"target\": 5}, {\"weight\": 11575, \"source\": 4, \"target\": 8}, {\"weight\": 6044, \"source\": 5, \"target\": 6}, {\"weight\": 16313, \"source\": 5, \"target\": 7}, {\"weight\": 11482, \"source\": 5, \"target\": 8}, {\"weight\": 12278, \"source\": 6, \"target\": 7}, {\"weight\": 7283, \"source\": 6, \"target\": 8}, {\"weight\": 11384, \"source\": 7, \"target\": 8}]}",
"id": 1667,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, WRE, YFO, MAS, OME, SUB, HRB, NUP, OSD\n- Travel distances (in kilometers) between each pair of airports:\nAZI to HRB: 6928\nAZI to NUP: 15054\nAZI to OME: 15245\nAZI to SUB: 7344\nAZI to MAS: 11729\nAZI to OSD: 5347\nAZI to YFO: 13224\nAZI to WRE: 14473\nWRE to HRB: 10537\nWRE to NUP: 12377\nWRE to OME: 12568\nWRE to SUB: 7226\nWRE to MAS: 5346\nWRE to OSD: 17637\nWRE to YFO: 13724\nYFO to HRB: 11374\nYFO to NUP: 5523\nYFO to OME: 5714\nYFO to SUB: 15441\nYFO to MAS: 15642\nYFO to OSD: 8858\nMAS to HRB: 7526\nMAS to NUP: 14462\nMAS to OME: 14653\nMAS to SUB: 4641\nMAS to OSD: 14523\nOME to HRB: 12469\nOME to NUP: 617\nOME to SUB: 16504\nOME to OSD: 11575\nSUB to HRB: 6044\nSUB to NUP: 16313\nSUB to OSD: 11482\nHRB to NUP: 12278\nHRB to OSD: 7283\nNUP to OSD: 11384\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TMS, BHY, AMA, NUE, HAQ, AHN, JHM, TIF, PAT\n- Travel distances (in kilometers) between each pair of airports:\nTMS to BHY: 12453\nTMS to NUE: 6580\nTMS to PAT: 9989\nTMS to AMA: 11936\nTMS to TIF: 6415\nTMS to AHN: 11045\nTMS to JHM: 17440\nTMS to HAQ: 9925\nBHY to NUE: 8913\nBHY to PAT: 2720\nBHY to AMA: 12968\nBHY to TIF: 7083\nBHY to AHN: 13783\nBHY to JHM: 9561\nBHY to HAQ: 4703\nAMA to NUE: 8643\nAMA to PAT: 14644\nAMA to TIF: 12670\nAMA to AHN: 1904\nAMA to JHM: 5773\nAMA to HAQ: 16381\nNUE to PAT: 6833\nNUE to TIF: 4084\nNUE to AHN: 7949\nNUE to JHM: 12735\nNUE to HAQ: 7985\nHAQ to PAT: 2927\nHAQ to TIF: 4806\nHAQ to AHN: 15678\nHAQ to JHM: 13868\nAHN to PAT: 13925\nAHN to TIF: 11940\nAHN to JHM: 7451\nJHM to PAT: 11984\nJHM to TIF: 15624\nTIF to PAT: 4558\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48635,
"style": "rule"
}
|
{
"exact_answer": 48635,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TMS\", \"id\": 0}, {\"name\": \"BHY\", \"id\": 1}, {\"name\": \"AMA\", \"id\": 2}, {\"name\": \"NUE\", \"id\": 3}, {\"name\": \"HAQ\", \"id\": 4}, {\"name\": \"AHN\", \"id\": 5}, {\"name\": \"JHM\", \"id\": 6}, {\"name\": \"TIF\", \"id\": 7}, {\"name\": \"PAT\", \"id\": 8}], \"links\": [{\"weight\": 12453, \"source\": 0, \"target\": 1}, {\"weight\": 6580, \"source\": 0, \"target\": 3}, {\"weight\": 9989, \"source\": 0, \"target\": 8}, {\"weight\": 11936, \"source\": 0, \"target\": 2}, {\"weight\": 6415, \"source\": 0, \"target\": 7}, {\"weight\": 11045, \"source\": 0, \"target\": 5}, {\"weight\": 17440, \"source\": 0, \"target\": 6}, {\"weight\": 9925, \"source\": 0, \"target\": 4}, {\"weight\": 8913, \"source\": 1, \"target\": 3}, {\"weight\": 2720, \"source\": 1, \"target\": 8}, {\"weight\": 12968, \"source\": 1, \"target\": 2}, {\"weight\": 7083, \"source\": 1, \"target\": 7}, {\"weight\": 13783, \"source\": 1, \"target\": 5}, {\"weight\": 9561, \"source\": 1, \"target\": 6}, {\"weight\": 4703, \"source\": 1, \"target\": 4}, {\"weight\": 8643, \"source\": 2, \"target\": 3}, {\"weight\": 14644, \"source\": 2, \"target\": 8}, {\"weight\": 12670, \"source\": 2, \"target\": 7}, {\"weight\": 1904, \"source\": 2, \"target\": 5}, {\"weight\": 5773, \"source\": 2, \"target\": 6}, {\"weight\": 16381, \"source\": 2, \"target\": 4}, {\"weight\": 6833, \"source\": 3, \"target\": 8}, {\"weight\": 4084, \"source\": 3, \"target\": 7}, {\"weight\": 7949, \"source\": 3, \"target\": 5}, {\"weight\": 12735, \"source\": 3, \"target\": 6}, {\"weight\": 7985, \"source\": 3, \"target\": 4}, {\"weight\": 2927, \"source\": 4, \"target\": 8}, {\"weight\": 4806, \"source\": 4, \"target\": 7}, {\"weight\": 15678, \"source\": 4, \"target\": 5}, {\"weight\": 13868, \"source\": 4, \"target\": 6}, {\"weight\": 13925, \"source\": 5, \"target\": 8}, {\"weight\": 11940, \"source\": 5, \"target\": 7}, {\"weight\": 7451, \"source\": 5, \"target\": 6}, {\"weight\": 11984, \"source\": 6, \"target\": 8}, {\"weight\": 15624, \"source\": 6, \"target\": 7}, {\"weight\": 4558, \"source\": 7, \"target\": 8}]}",
"id": 1668,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TMS, BHY, AMA, NUE, HAQ, AHN, JHM, TIF, PAT\n- Travel distances (in kilometers) between each pair of airports:\nTMS to BHY: 12453\nTMS to NUE: 6580\nTMS to PAT: 9989\nTMS to AMA: 11936\nTMS to TIF: 6415\nTMS to AHN: 11045\nTMS to JHM: 17440\nTMS to HAQ: 9925\nBHY to NUE: 8913\nBHY to PAT: 2720\nBHY to AMA: 12968\nBHY to TIF: 7083\nBHY to AHN: 13783\nBHY to JHM: 9561\nBHY to HAQ: 4703\nAMA to NUE: 8643\nAMA to PAT: 14644\nAMA to TIF: 12670\nAMA to AHN: 1904\nAMA to JHM: 5773\nAMA to HAQ: 16381\nNUE to PAT: 6833\nNUE to TIF: 4084\nNUE to AHN: 7949\nNUE to JHM: 12735\nNUE to HAQ: 7985\nHAQ to PAT: 2927\nHAQ to TIF: 4806\nHAQ to AHN: 15678\nHAQ to JHM: 13868\nAHN to PAT: 13925\nAHN to TIF: 11940\nAHN to JHM: 7451\nJHM to PAT: 11984\nJHM to TIF: 15624\nTIF to PAT: 4558\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CMI, TTJ, UAK, BOG, CUZ, RVN, TUL, LBC\n- Travel distances (in kilometers) between each pair of airports:\nIDA to CUZ: 7769\nIDA to BOG: 5700\nIDA to CMI: 2377\nIDA to TUL: 1605\nIDA to RVN: 9600\nIDA to LBC: 9485\nIDA to UAK: 8324\nIDA to TTJ: 9628\nCMI to CUZ: 6913\nCMI to BOG: 4579\nCMI to TUL: 1158\nCMI to RVN: 8165\nCMI to LBC: 7973\nCMI to UAK: 6950\nCMI to TTJ: 11114\nTTJ to CUZ: 16625\nTTJ to BOG: 14817\nTTJ to TUL: 10725\nTTJ to RVN: 9244\nTTJ to LBC: 9823\nTTJ to UAK: 12856\nUAK to CUZ: 12469\nUAK to BOG: 10002\nUAK to TUL: 7644\nUAK to RVN: 5002\nUAK to LBC: 4887\nBOG to CUZ: 2473\nBOG to TUL: 4277\nBOG to RVN: 10952\nBOG to LBC: 10091\nCUZ to TUL: 6339\nCUZ to RVN: 13320\nCUZ to LBC: 12115\nRVN to TUL: 8889\nRVN to LBC: 1969\nTUL to LBC: 8697\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47674,
"style": "rule"
}
|
{
"exact_answer": 47674,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IDA\", \"id\": 0}, {\"name\": \"CMI\", \"id\": 1}, {\"name\": \"TTJ\", \"id\": 2}, {\"name\": \"UAK\", \"id\": 3}, {\"name\": \"BOG\", \"id\": 4}, {\"name\": \"CUZ\", \"id\": 5}, {\"name\": \"RVN\", \"id\": 6}, {\"name\": \"TUL\", \"id\": 7}, {\"name\": \"LBC\", \"id\": 8}], \"links\": [{\"weight\": 7769, \"source\": 0, \"target\": 5}, {\"weight\": 5700, \"source\": 0, \"target\": 4}, {\"weight\": 2377, \"source\": 0, \"target\": 1}, {\"weight\": 1605, \"source\": 0, \"target\": 7}, {\"weight\": 9600, \"source\": 0, \"target\": 6}, {\"weight\": 9485, \"source\": 0, \"target\": 8}, {\"weight\": 8324, \"source\": 0, \"target\": 3}, {\"weight\": 9628, \"source\": 0, \"target\": 2}, {\"weight\": 6913, \"source\": 1, \"target\": 5}, {\"weight\": 4579, \"source\": 1, \"target\": 4}, {\"weight\": 1158, \"source\": 1, \"target\": 7}, {\"weight\": 8165, \"source\": 1, \"target\": 6}, {\"weight\": 7973, \"source\": 1, \"target\": 8}, {\"weight\": 6950, \"source\": 1, \"target\": 3}, {\"weight\": 11114, \"source\": 1, \"target\": 2}, {\"weight\": 16625, \"source\": 2, \"target\": 5}, {\"weight\": 14817, \"source\": 2, \"target\": 4}, {\"weight\": 10725, \"source\": 2, \"target\": 7}, {\"weight\": 9244, \"source\": 2, \"target\": 6}, {\"weight\": 9823, \"source\": 2, \"target\": 8}, {\"weight\": 12856, \"source\": 2, \"target\": 3}, {\"weight\": 12469, \"source\": 3, \"target\": 5}, {\"weight\": 10002, \"source\": 3, \"target\": 4}, {\"weight\": 7644, \"source\": 3, \"target\": 7}, {\"weight\": 5002, \"source\": 3, \"target\": 6}, {\"weight\": 4887, \"source\": 3, \"target\": 8}, {\"weight\": 2473, \"source\": 4, \"target\": 5}, {\"weight\": 4277, \"source\": 4, \"target\": 7}, {\"weight\": 10952, \"source\": 4, \"target\": 6}, {\"weight\": 10091, \"source\": 4, \"target\": 8}, {\"weight\": 6339, \"source\": 5, \"target\": 7}, {\"weight\": 13320, \"source\": 5, \"target\": 6}, {\"weight\": 12115, \"source\": 5, \"target\": 8}, {\"weight\": 8889, \"source\": 6, \"target\": 7}, {\"weight\": 1969, \"source\": 6, \"target\": 8}, {\"weight\": 8697, \"source\": 7, \"target\": 8}]}",
"id": 1669,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CMI, TTJ, UAK, BOG, CUZ, RVN, TUL, LBC\n- Travel distances (in kilometers) between each pair of airports:\nIDA to CUZ: 7769\nIDA to BOG: 5700\nIDA to CMI: 2377\nIDA to TUL: 1605\nIDA to RVN: 9600\nIDA to LBC: 9485\nIDA to UAK: 8324\nIDA to TTJ: 9628\nCMI to CUZ: 6913\nCMI to BOG: 4579\nCMI to TUL: 1158\nCMI to RVN: 8165\nCMI to LBC: 7973\nCMI to UAK: 6950\nCMI to TTJ: 11114\nTTJ to CUZ: 16625\nTTJ to BOG: 14817\nTTJ to TUL: 10725\nTTJ to RVN: 9244\nTTJ to LBC: 9823\nTTJ to UAK: 12856\nUAK to CUZ: 12469\nUAK to BOG: 10002\nUAK to TUL: 7644\nUAK to RVN: 5002\nUAK to LBC: 4887\nBOG to CUZ: 2473\nBOG to TUL: 4277\nBOG to RVN: 10952\nBOG to LBC: 10091\nCUZ to TUL: 6339\nCUZ to RVN: 13320\nCUZ to LBC: 12115\nRVN to TUL: 8889\nRVN to LBC: 1969\nTUL to LBC: 8697\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZS, OLC, RHI, NUI, SCU, GNM, PFQ, ABV, CHU\n- Travel distances (in kilometers) between each pair of airports:\nCZS to CHU: 12670\nCZS to NUI: 13217\nCZS to GNM: 4438\nCZS to OLC: 2797\nCZS to ABV: 10301\nCZS to SCU: 5395\nCZS to RHI: 8406\nCZS to PFQ: 15350\nOLC to CHU: 11851\nOLC to NUI: 12398\nOLC to GNM: 4520\nOLC to ABV: 9591\nOLC to SCU: 4576\nOLC to RHI: 7587\nOLC to PFQ: 14531\nRHI to CHU: 4874\nRHI to NUI: 5447\nRHI to GNM: 9477\nRHI to ABV: 10670\nRHI to SCU: 4242\nRHI to PFQ: 11777\nNUI to CHU: 1627\nNUI to GNM: 14288\nNUI to ABV: 15507\nNUI to SCU: 8741\nNUI to PFQ: 15666\nSCU to CHU: 8346\nSCU to GNM: 6590\nSCU to ABV: 11142\nSCU to PFQ: 12322\nGNM to CHU: 13741\nGNM to ABV: 7727\nGNM to PFQ: 12667\nPFQ to CHU: 15364\nPFQ to ABV: 6175\nABV to CHU: 14934\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52122,
"style": "rule"
}
|
{
"exact_answer": 52122,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZS\", \"id\": 0}, {\"name\": \"OLC\", \"id\": 1}, {\"name\": \"RHI\", \"id\": 2}, {\"name\": \"NUI\", \"id\": 3}, {\"name\": \"SCU\", \"id\": 4}, {\"name\": \"GNM\", \"id\": 5}, {\"name\": \"PFQ\", \"id\": 6}, {\"name\": \"ABV\", \"id\": 7}, {\"name\": \"CHU\", \"id\": 8}], \"links\": [{\"weight\": 12670, \"source\": 0, \"target\": 8}, {\"weight\": 13217, \"source\": 0, \"target\": 3}, {\"weight\": 4438, \"source\": 0, \"target\": 5}, {\"weight\": 2797, \"source\": 0, \"target\": 1}, {\"weight\": 10301, \"source\": 0, \"target\": 7}, {\"weight\": 5395, \"source\": 0, \"target\": 4}, {\"weight\": 8406, \"source\": 0, \"target\": 2}, {\"weight\": 15350, \"source\": 0, \"target\": 6}, {\"weight\": 11851, \"source\": 1, \"target\": 8}, {\"weight\": 12398, \"source\": 1, \"target\": 3}, {\"weight\": 4520, \"source\": 1, \"target\": 5}, {\"weight\": 9591, \"source\": 1, \"target\": 7}, {\"weight\": 4576, \"source\": 1, \"target\": 4}, {\"weight\": 7587, \"source\": 1, \"target\": 2}, {\"weight\": 14531, \"source\": 1, \"target\": 6}, {\"weight\": 4874, \"source\": 2, \"target\": 8}, {\"weight\": 5447, \"source\": 2, \"target\": 3}, {\"weight\": 9477, \"source\": 2, \"target\": 5}, {\"weight\": 10670, \"source\": 2, \"target\": 7}, {\"weight\": 4242, \"source\": 2, \"target\": 4}, {\"weight\": 11777, \"source\": 2, \"target\": 6}, {\"weight\": 1627, \"source\": 3, \"target\": 8}, {\"weight\": 14288, \"source\": 3, \"target\": 5}, {\"weight\": 15507, \"source\": 3, \"target\": 7}, {\"weight\": 8741, \"source\": 3, \"target\": 4}, {\"weight\": 15666, \"source\": 3, \"target\": 6}, {\"weight\": 8346, \"source\": 4, \"target\": 8}, {\"weight\": 6590, \"source\": 4, \"target\": 5}, {\"weight\": 11142, \"source\": 4, \"target\": 7}, {\"weight\": 12322, \"source\": 4, \"target\": 6}, {\"weight\": 13741, \"source\": 5, \"target\": 8}, {\"weight\": 7727, \"source\": 5, \"target\": 7}, {\"weight\": 12667, \"source\": 5, \"target\": 6}, {\"weight\": 15364, \"source\": 6, \"target\": 8}, {\"weight\": 6175, \"source\": 6, \"target\": 7}, {\"weight\": 14934, \"source\": 7, \"target\": 8}]}",
"id": 1670,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZS, OLC, RHI, NUI, SCU, GNM, PFQ, ABV, CHU\n- Travel distances (in kilometers) between each pair of airports:\nCZS to CHU: 12670\nCZS to NUI: 13217\nCZS to GNM: 4438\nCZS to OLC: 2797\nCZS to ABV: 10301\nCZS to SCU: 5395\nCZS to RHI: 8406\nCZS to PFQ: 15350\nOLC to CHU: 11851\nOLC to NUI: 12398\nOLC to GNM: 4520\nOLC to ABV: 9591\nOLC to SCU: 4576\nOLC to RHI: 7587\nOLC to PFQ: 14531\nRHI to CHU: 4874\nRHI to NUI: 5447\nRHI to GNM: 9477\nRHI to ABV: 10670\nRHI to SCU: 4242\nRHI to PFQ: 11777\nNUI to CHU: 1627\nNUI to GNM: 14288\nNUI to ABV: 15507\nNUI to SCU: 8741\nNUI to PFQ: 15666\nSCU to CHU: 8346\nSCU to GNM: 6590\nSCU to ABV: 11142\nSCU to PFQ: 12322\nGNM to CHU: 13741\nGNM to ABV: 7727\nGNM to PFQ: 12667\nPFQ to CHU: 15364\nPFQ to ABV: 6175\nABV to CHU: 14934\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IZO, GDN, NUI, PSG, SMR, VTE, TIU, SCM\n- Travel distances (in kilometers) between each pair of airports:\nJUH to NUI: 12887\nJUH to SCM: 12928\nJUH to GDN: 8499\nJUH to VTE: 2192\nJUH to PSG: 11006\nJUH to SMR: 16663\nJUH to IZO: 2751\nJUH to TIU: 10720\nIZO to NUI: 11489\nIZO to SCM: 11530\nIZO to GDN: 9431\nIZO to VTE: 4777\nIZO to PSG: 9608\nIZO to SMR: 15313\nIZO to TIU: 10913\nGDN to NUI: 11481\nGDN to SCM: 11522\nGDN to VTE: 8648\nGDN to PSG: 9600\nGDN to SMR: 10311\nGDN to TIU: 18351\nNUI to SCM: 1970\nNUI to VTE: 14659\nNUI to PSG: 2213\nNUI to SMR: 10132\nNUI to TIU: 13583\nPSG to SCM: 1983\nPSG to VTE: 12778\nPSG to SMR: 8251\nPSG to TIU: 13589\nSMR to SCM: 10084\nSMR to VTE: 18125\nSMR to TIU: 15536\nVTE to SCM: 14700\nVTE to TIU: 10468\nTIU to SCM: 13353\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60602,
"style": "rule"
}
|
{
"exact_answer": 60602,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JUH\", \"id\": 0}, {\"name\": \"IZO\", \"id\": 1}, {\"name\": \"GDN\", \"id\": 2}, {\"name\": \"NUI\", \"id\": 3}, {\"name\": \"PSG\", \"id\": 4}, {\"name\": \"SMR\", \"id\": 5}, {\"name\": \"VTE\", \"id\": 6}, {\"name\": \"TIU\", \"id\": 7}, {\"name\": \"SCM\", \"id\": 8}], \"links\": [{\"weight\": 12887, \"source\": 0, \"target\": 3}, {\"weight\": 12928, \"source\": 0, \"target\": 8}, {\"weight\": 8499, \"source\": 0, \"target\": 2}, {\"weight\": 2192, \"source\": 0, \"target\": 6}, {\"weight\": 11006, \"source\": 0, \"target\": 4}, {\"weight\": 16663, \"source\": 0, \"target\": 5}, {\"weight\": 2751, \"source\": 0, \"target\": 1}, {\"weight\": 10720, \"source\": 0, \"target\": 7}, {\"weight\": 11489, \"source\": 1, \"target\": 3}, {\"weight\": 11530, \"source\": 1, \"target\": 8}, {\"weight\": 9431, \"source\": 1, \"target\": 2}, {\"weight\": 4777, \"source\": 1, \"target\": 6}, {\"weight\": 9608, \"source\": 1, \"target\": 4}, {\"weight\": 15313, \"source\": 1, \"target\": 5}, {\"weight\": 10913, \"source\": 1, \"target\": 7}, {\"weight\": 11481, \"source\": 2, \"target\": 3}, {\"weight\": 11522, \"source\": 2, \"target\": 8}, {\"weight\": 8648, \"source\": 2, \"target\": 6}, {\"weight\": 9600, \"source\": 2, \"target\": 4}, {\"weight\": 10311, \"source\": 2, \"target\": 5}, {\"weight\": 18351, \"source\": 2, \"target\": 7}, {\"weight\": 1970, \"source\": 3, \"target\": 8}, {\"weight\": 14659, \"source\": 3, \"target\": 6}, {\"weight\": 2213, \"source\": 3, \"target\": 4}, {\"weight\": 10132, \"source\": 3, \"target\": 5}, {\"weight\": 13583, \"source\": 3, \"target\": 7}, {\"weight\": 1983, \"source\": 4, \"target\": 8}, {\"weight\": 12778, \"source\": 4, \"target\": 6}, {\"weight\": 8251, \"source\": 4, \"target\": 5}, {\"weight\": 13589, \"source\": 4, \"target\": 7}, {\"weight\": 10084, \"source\": 5, \"target\": 8}, {\"weight\": 18125, \"source\": 5, \"target\": 6}, {\"weight\": 15536, \"source\": 5, \"target\": 7}, {\"weight\": 14700, \"source\": 6, \"target\": 8}, {\"weight\": 10468, \"source\": 6, \"target\": 7}, {\"weight\": 13353, \"source\": 7, \"target\": 8}]}",
"id": 1671,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IZO, GDN, NUI, PSG, SMR, VTE, TIU, SCM\n- Travel distances (in kilometers) between each pair of airports:\nJUH to NUI: 12887\nJUH to SCM: 12928\nJUH to GDN: 8499\nJUH to VTE: 2192\nJUH to PSG: 11006\nJUH to SMR: 16663\nJUH to IZO: 2751\nJUH to TIU: 10720\nIZO to NUI: 11489\nIZO to SCM: 11530\nIZO to GDN: 9431\nIZO to VTE: 4777\nIZO to PSG: 9608\nIZO to SMR: 15313\nIZO to TIU: 10913\nGDN to NUI: 11481\nGDN to SCM: 11522\nGDN to VTE: 8648\nGDN to PSG: 9600\nGDN to SMR: 10311\nGDN to TIU: 18351\nNUI to SCM: 1970\nNUI to VTE: 14659\nNUI to PSG: 2213\nNUI to SMR: 10132\nNUI to TIU: 13583\nPSG to SCM: 1983\nPSG to VTE: 12778\nPSG to SMR: 8251\nPSG to TIU: 13589\nSMR to SCM: 10084\nSMR to VTE: 18125\nSMR to TIU: 15536\nVTE to SCM: 14700\nVTE to TIU: 10468\nTIU to SCM: 13353\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YHM, YAT, MHT, HAK, ZBF, GAO, MUR, BLE\n- Travel distances (in kilometers) between each pair of airports:\nEMK to HAK: 14022\nEMK to MHT: 6631\nEMK to ZBF: 7058\nEMK to GAO: 8713\nEMK to BLE: 11330\nEMK to MUR: 15240\nEMK to YHM: 6582\nEMK to YAT: 6791\nYHM to HAK: 14047\nYHM to MHT: 2558\nYHM to ZBF: 2609\nYHM to GAO: 5302\nYHM to BLE: 7334\nYHM to MUR: 15101\nYHM to YAT: 3109\nYAT to HAK: 13963\nYAT to MHT: 1974\nYAT to ZBF: 1812\nYAT to GAO: 4218\nYAT to BLE: 7616\nYAT to MUR: 15310\nMHT to HAK: 13618\nMHT to ZBF: 1490\nMHT to GAO: 3470\nMHT to BLE: 6841\nMHT to MUR: 15390\nHAK to ZBF: 14038\nHAK to GAO: 16005\nHAK to BLE: 9016\nHAK to MUR: 2609\nZBF to GAO: 4293\nZBF to BLE: 6865\nZBF to MUR: 15769\nGAO to BLE: 9614\nGAO to MUR: 17736\nMUR to BLE: 11065\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52370,
"style": "rule"
}
|
{
"exact_answer": 52370,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EMK\", \"id\": 0}, {\"name\": \"YHM\", \"id\": 1}, {\"name\": \"YAT\", \"id\": 2}, {\"name\": \"MHT\", \"id\": 3}, {\"name\": \"HAK\", \"id\": 4}, {\"name\": \"ZBF\", \"id\": 5}, {\"name\": \"GAO\", \"id\": 6}, {\"name\": \"MUR\", \"id\": 7}, {\"name\": \"BLE\", \"id\": 8}], \"links\": [{\"weight\": 14022, \"source\": 0, \"target\": 4}, {\"weight\": 6631, \"source\": 0, \"target\": 3}, {\"weight\": 7058, \"source\": 0, \"target\": 5}, {\"weight\": 8713, \"source\": 0, \"target\": 6}, {\"weight\": 11330, \"source\": 0, \"target\": 8}, {\"weight\": 15240, \"source\": 0, \"target\": 7}, {\"weight\": 6582, \"source\": 0, \"target\": 1}, {\"weight\": 6791, \"source\": 0, \"target\": 2}, {\"weight\": 14047, \"source\": 1, \"target\": 4}, {\"weight\": 2558, \"source\": 1, \"target\": 3}, {\"weight\": 2609, \"source\": 1, \"target\": 5}, {\"weight\": 5302, \"source\": 1, \"target\": 6}, {\"weight\": 7334, \"source\": 1, \"target\": 8}, {\"weight\": 15101, \"source\": 1, \"target\": 7}, {\"weight\": 3109, \"source\": 1, \"target\": 2}, {\"weight\": 13963, \"source\": 2, \"target\": 4}, {\"weight\": 1974, \"source\": 2, \"target\": 3}, {\"weight\": 1812, \"source\": 2, \"target\": 5}, {\"weight\": 4218, \"source\": 2, \"target\": 6}, {\"weight\": 7616, \"source\": 2, \"target\": 8}, {\"weight\": 15310, \"source\": 2, \"target\": 7}, {\"weight\": 13618, \"source\": 3, \"target\": 4}, {\"weight\": 1490, \"source\": 3, \"target\": 5}, {\"weight\": 3470, \"source\": 3, \"target\": 6}, {\"weight\": 6841, \"source\": 3, \"target\": 8}, {\"weight\": 15390, \"source\": 3, \"target\": 7}, {\"weight\": 14038, \"source\": 4, \"target\": 5}, {\"weight\": 16005, \"source\": 4, \"target\": 6}, {\"weight\": 9016, \"source\": 4, \"target\": 8}, {\"weight\": 2609, \"source\": 4, \"target\": 7}, {\"weight\": 4293, \"source\": 5, \"target\": 6}, {\"weight\": 6865, \"source\": 5, \"target\": 8}, {\"weight\": 15769, \"source\": 5, \"target\": 7}, {\"weight\": 9614, \"source\": 6, \"target\": 8}, {\"weight\": 17736, \"source\": 6, \"target\": 7}, {\"weight\": 11065, \"source\": 7, \"target\": 8}]}",
"id": 1672,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YHM, YAT, MHT, HAK, ZBF, GAO, MUR, BLE\n- Travel distances (in kilometers) between each pair of airports:\nEMK to HAK: 14022\nEMK to MHT: 6631\nEMK to ZBF: 7058\nEMK to GAO: 8713\nEMK to BLE: 11330\nEMK to MUR: 15240\nEMK to YHM: 6582\nEMK to YAT: 6791\nYHM to HAK: 14047\nYHM to MHT: 2558\nYHM to ZBF: 2609\nYHM to GAO: 5302\nYHM to BLE: 7334\nYHM to MUR: 15101\nYHM to YAT: 3109\nYAT to HAK: 13963\nYAT to MHT: 1974\nYAT to ZBF: 1812\nYAT to GAO: 4218\nYAT to BLE: 7616\nYAT to MUR: 15310\nMHT to HAK: 13618\nMHT to ZBF: 1490\nMHT to GAO: 3470\nMHT to BLE: 6841\nMHT to MUR: 15390\nHAK to ZBF: 14038\nHAK to GAO: 16005\nHAK to BLE: 9016\nHAK to MUR: 2609\nZBF to GAO: 4293\nZBF to BLE: 6865\nZBF to MUR: 15769\nGAO to BLE: 9614\nGAO to MUR: 17736\nMUR to BLE: 11065\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DMK, PLS, BHY, MAB, HBX, DAY, AFZ, SPI, SMF\n- Travel distances (in kilometers) between each pair of airports:\nDMK to BHY: 1866\nDMK to PLS: 16392\nDMK to DAY: 14226\nDMK to SMF: 12880\nDMK to SPI: 14155\nDMK to MAB: 17212\nDMK to AFZ: 6107\nDMK to HBX: 2869\nPLS to BHY: 15252\nPLS to DAY: 2311\nPLS to SMF: 5029\nPLS to SPI: 2726\nPLS to MAB: 4135\nPLS to AFZ: 12277\nPLS to HBX: 14897\nBHY to DAY: 13086\nBHY to SMF: 11653\nBHY to SPI: 13015\nBHY to MAB: 17712\nBHY to AFZ: 6528\nBHY to HBX: 4203\nMAB to DAY: 6345\nMAB to SMF: 9106\nMAB to SPI: 6806\nMAB to AFZ: 12504\nMAB to HBX: 14638\nHBX to DAY: 13590\nHBX to SMF: 14893\nHBX to SPI: 13915\nHBX to AFZ: 4176\nDAY to SMF: 3200\nDAY to SPI: 666\nDAY to AFZ: 11382\nAFZ to SMF: 13522\nAFZ to SPI: 11708\nSPI to SMF: 3139\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43319,
"style": "rule"
}
|
{
"exact_answer": 43319,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DMK\", \"id\": 0}, {\"name\": \"PLS\", \"id\": 1}, {\"name\": \"BHY\", \"id\": 2}, {\"name\": \"MAB\", \"id\": 3}, {\"name\": \"HBX\", \"id\": 4}, {\"name\": \"DAY\", \"id\": 5}, {\"name\": \"AFZ\", \"id\": 6}, {\"name\": \"SPI\", \"id\": 7}, {\"name\": \"SMF\", \"id\": 8}], \"links\": [{\"weight\": 1866, \"source\": 0, \"target\": 2}, {\"weight\": 16392, \"source\": 0, \"target\": 1}, {\"weight\": 14226, \"source\": 0, \"target\": 5}, {\"weight\": 12880, \"source\": 0, \"target\": 8}, {\"weight\": 14155, \"source\": 0, \"target\": 7}, {\"weight\": 17212, \"source\": 0, \"target\": 3}, {\"weight\": 6107, \"source\": 0, \"target\": 6}, {\"weight\": 2869, \"source\": 0, \"target\": 4}, {\"weight\": 15252, \"source\": 1, \"target\": 2}, {\"weight\": 2311, \"source\": 1, \"target\": 5}, {\"weight\": 5029, \"source\": 1, \"target\": 8}, {\"weight\": 2726, \"source\": 1, \"target\": 7}, {\"weight\": 4135, \"source\": 1, \"target\": 3}, {\"weight\": 12277, \"source\": 1, \"target\": 6}, {\"weight\": 14897, \"source\": 1, \"target\": 4}, {\"weight\": 13086, \"source\": 2, \"target\": 5}, {\"weight\": 11653, \"source\": 2, \"target\": 8}, {\"weight\": 13015, \"source\": 2, \"target\": 7}, {\"weight\": 17712, \"source\": 2, \"target\": 3}, {\"weight\": 6528, \"source\": 2, \"target\": 6}, {\"weight\": 4203, \"source\": 2, \"target\": 4}, {\"weight\": 6345, \"source\": 3, \"target\": 5}, {\"weight\": 9106, \"source\": 3, \"target\": 8}, {\"weight\": 6806, \"source\": 3, \"target\": 7}, {\"weight\": 12504, \"source\": 3, \"target\": 6}, {\"weight\": 14638, \"source\": 3, \"target\": 4}, {\"weight\": 13590, \"source\": 4, \"target\": 5}, {\"weight\": 14893, \"source\": 4, \"target\": 8}, {\"weight\": 13915, \"source\": 4, \"target\": 7}, {\"weight\": 4176, \"source\": 4, \"target\": 6}, {\"weight\": 3200, \"source\": 5, \"target\": 8}, {\"weight\": 666, \"source\": 5, \"target\": 7}, {\"weight\": 11382, \"source\": 5, \"target\": 6}, {\"weight\": 13522, \"source\": 6, \"target\": 8}, {\"weight\": 11708, \"source\": 6, \"target\": 7}, {\"weight\": 3139, \"source\": 7, \"target\": 8}]}",
"id": 1673,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DMK, PLS, BHY, MAB, HBX, DAY, AFZ, SPI, SMF\n- Travel distances (in kilometers) between each pair of airports:\nDMK to BHY: 1866\nDMK to PLS: 16392\nDMK to DAY: 14226\nDMK to SMF: 12880\nDMK to SPI: 14155\nDMK to MAB: 17212\nDMK to AFZ: 6107\nDMK to HBX: 2869\nPLS to BHY: 15252\nPLS to DAY: 2311\nPLS to SMF: 5029\nPLS to SPI: 2726\nPLS to MAB: 4135\nPLS to AFZ: 12277\nPLS to HBX: 14897\nBHY to DAY: 13086\nBHY to SMF: 11653\nBHY to SPI: 13015\nBHY to MAB: 17712\nBHY to AFZ: 6528\nBHY to HBX: 4203\nMAB to DAY: 6345\nMAB to SMF: 9106\nMAB to SPI: 6806\nMAB to AFZ: 12504\nMAB to HBX: 14638\nHBX to DAY: 13590\nHBX to SMF: 14893\nHBX to SPI: 13915\nHBX to AFZ: 4176\nDAY to SMF: 3200\nDAY to SPI: 666\nDAY to AFZ: 11382\nAFZ to SMF: 13522\nAFZ to SPI: 11708\nSPI to SMF: 3139\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, PVG, CWB, RST, BLV, BTS, MRU, YXS, EGE\n- Travel distances (in kilometers) between each pair of airports:\nPYY to PVG: 2758\nPYY to CWB: 17298\nPYY to YXS: 12008\nPYY to RST: 13911\nPYY to MRU: 7316\nPYY to BTS: 8848\nPYY to BLV: 16486\nPYY to EGE: 13467\nPVG to MRU: 8920\nPVG to CWB: 18937\nPVG to YXS: 9540\nPVG to RST: 11443\nPVG to BTS: 8823\nPVG to BLV: 14265\nPVG to EGE: 10999\nCWB to YXS: 11293\nCWB to RST: 8971\nCWB to MRU: 10864\nCWB to BTS: 10540\nCWB to BLV: 8300\nCWB to EGE: 9553\nRST to YXS: 2471\nRST to MRU: 16342\nRST to BTS: 7813\nRST to BLV: 3362\nRST to EGE: 1406\nBLV to YXS: 5772\nBLV to MRU: 18058\nBLV to BTS: 9608\nBLV to EGE: 4005\nBTS to YXS: 8797\nBTS to MRU: 9586\nBTS to EGE: 8945\nMRU to YXS: 17371\nMRU to EGE: 17473\nYXS to EGE: 2299\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53925,
"style": "rule"
}
|
{
"exact_answer": 53925,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PYY\", \"id\": 0}, {\"name\": \"PVG\", \"id\": 1}, {\"name\": \"CWB\", \"id\": 2}, {\"name\": \"RST\", \"id\": 3}, {\"name\": \"BLV\", \"id\": 4}, {\"name\": \"BTS\", \"id\": 5}, {\"name\": \"MRU\", \"id\": 6}, {\"name\": \"YXS\", \"id\": 7}, {\"name\": \"EGE\", \"id\": 8}], \"links\": [{\"weight\": 2758, \"source\": 0, \"target\": 1}, {\"weight\": 17298, \"source\": 0, \"target\": 2}, {\"weight\": 12008, \"source\": 0, \"target\": 7}, {\"weight\": 13911, \"source\": 0, \"target\": 3}, {\"weight\": 7316, \"source\": 0, \"target\": 6}, {\"weight\": 8848, \"source\": 0, \"target\": 5}, {\"weight\": 16486, \"source\": 0, \"target\": 4}, {\"weight\": 13467, \"source\": 0, \"target\": 8}, {\"weight\": 8920, \"source\": 1, \"target\": 6}, {\"weight\": 18937, \"source\": 1, \"target\": 2}, {\"weight\": 9540, \"source\": 1, \"target\": 7}, {\"weight\": 11443, \"source\": 1, \"target\": 3}, {\"weight\": 8823, \"source\": 1, \"target\": 5}, {\"weight\": 14265, \"source\": 1, \"target\": 4}, {\"weight\": 10999, \"source\": 1, \"target\": 8}, {\"weight\": 11293, \"source\": 2, \"target\": 7}, {\"weight\": 8971, \"source\": 2, \"target\": 3}, {\"weight\": 10864, \"source\": 2, \"target\": 6}, {\"weight\": 10540, \"source\": 2, \"target\": 5}, {\"weight\": 8300, \"source\": 2, \"target\": 4}, {\"weight\": 9553, \"source\": 2, \"target\": 8}, {\"weight\": 2471, \"source\": 3, \"target\": 7}, {\"weight\": 16342, \"source\": 3, \"target\": 6}, {\"weight\": 7813, \"source\": 3, \"target\": 5}, {\"weight\": 3362, \"source\": 3, \"target\": 4}, {\"weight\": 1406, \"source\": 3, \"target\": 8}, {\"weight\": 5772, \"source\": 4, \"target\": 7}, {\"weight\": 18058, \"source\": 4, \"target\": 6}, {\"weight\": 9608, \"source\": 4, \"target\": 5}, {\"weight\": 4005, \"source\": 4, \"target\": 8}, {\"weight\": 8797, \"source\": 5, \"target\": 7}, {\"weight\": 9586, \"source\": 5, \"target\": 6}, {\"weight\": 8945, \"source\": 5, \"target\": 8}, {\"weight\": 17371, \"source\": 6, \"target\": 7}, {\"weight\": 17473, \"source\": 6, \"target\": 8}, {\"weight\": 2299, \"source\": 7, \"target\": 8}]}",
"id": 1674,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, PVG, CWB, RST, BLV, BTS, MRU, YXS, EGE\n- Travel distances (in kilometers) between each pair of airports:\nPYY to PVG: 2758\nPYY to CWB: 17298\nPYY to YXS: 12008\nPYY to RST: 13911\nPYY to MRU: 7316\nPYY to BTS: 8848\nPYY to BLV: 16486\nPYY to EGE: 13467\nPVG to MRU: 8920\nPVG to CWB: 18937\nPVG to YXS: 9540\nPVG to RST: 11443\nPVG to BTS: 8823\nPVG to BLV: 14265\nPVG to EGE: 10999\nCWB to YXS: 11293\nCWB to RST: 8971\nCWB to MRU: 10864\nCWB to BTS: 10540\nCWB to BLV: 8300\nCWB to EGE: 9553\nRST to YXS: 2471\nRST to MRU: 16342\nRST to BTS: 7813\nRST to BLV: 3362\nRST to EGE: 1406\nBLV to YXS: 5772\nBLV to MRU: 18058\nBLV to BTS: 9608\nBLV to EGE: 4005\nBTS to YXS: 8797\nBTS to MRU: 9586\nBTS to EGE: 8945\nMRU to YXS: 17371\nMRU to EGE: 17473\nYXS to EGE: 2299\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAM, AZA, OTD, PIP, FUE, ESU, YYT, TMI, PFO\n- Travel distances (in kilometers) between each pair of airports:\nTAM to OTD: 2844\nTAM to FUE: 8992\nTAM to YYT: 5002\nTAM to ESU: 11141\nTAM to PFO: 11869\nTAM to AZA: 2725\nTAM to PIP: 6579\nTAM to TMI: 15401\nAZA to OTD: 5343\nAZA to FUE: 9193\nAZA to YYT: 5108\nAZA to ESU: 11024\nAZA to PFO: 11659\nAZA to PIP: 4742\nAZA to TMI: 13897\nOTD to FUE: 8361\nOTD to YYT: 5919\nOTD to ESU: 11716\nOTD to PFO: 12313\nOTD to PIP: 8939\nOTD to TMI: 16904\nPIP to FUE: 11927\nPIP to YYT: 7778\nPIP to ESU: 13164\nPIP to PFO: 13647\nPIP to TMI: 14978\nFUE to YYT: 6561\nFUE to ESU: 4252\nFUE to PFO: 4712\nFUE to TMI: 9647\nESU to YYT: 6258\nESU to PFO: 4403\nESU to TMI: 9307\nYYT to PFO: 6940\nYYT to TMI: 11445\nTMI to PFO: 6171\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52595,
"style": "rule"
}
|
{
"exact_answer": 52595,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TAM\", \"id\": 0}, {\"name\": \"AZA\", \"id\": 1}, {\"name\": \"OTD\", \"id\": 2}, {\"name\": \"PIP\", \"id\": 3}, {\"name\": \"FUE\", \"id\": 4}, {\"name\": \"ESU\", \"id\": 5}, {\"name\": \"YYT\", \"id\": 6}, {\"name\": \"TMI\", \"id\": 7}, {\"name\": \"PFO\", \"id\": 8}], \"links\": [{\"weight\": 2844, \"source\": 0, \"target\": 2}, {\"weight\": 8992, \"source\": 0, \"target\": 4}, {\"weight\": 5002, \"source\": 0, \"target\": 6}, {\"weight\": 11141, \"source\": 0, \"target\": 5}, {\"weight\": 11869, \"source\": 0, \"target\": 8}, {\"weight\": 2725, \"source\": 0, \"target\": 1}, {\"weight\": 6579, \"source\": 0, \"target\": 3}, {\"weight\": 15401, \"source\": 0, \"target\": 7}, {\"weight\": 5343, \"source\": 1, \"target\": 2}, {\"weight\": 9193, \"source\": 1, \"target\": 4}, {\"weight\": 5108, \"source\": 1, \"target\": 6}, {\"weight\": 11024, \"source\": 1, \"target\": 5}, {\"weight\": 11659, \"source\": 1, \"target\": 8}, {\"weight\": 4742, \"source\": 1, \"target\": 3}, {\"weight\": 13897, \"source\": 1, \"target\": 7}, {\"weight\": 8361, \"source\": 2, \"target\": 4}, {\"weight\": 5919, \"source\": 2, \"target\": 6}, {\"weight\": 11716, \"source\": 2, \"target\": 5}, {\"weight\": 12313, \"source\": 2, \"target\": 8}, {\"weight\": 8939, \"source\": 2, \"target\": 3}, {\"weight\": 16904, \"source\": 2, \"target\": 7}, {\"weight\": 11927, \"source\": 3, \"target\": 4}, {\"weight\": 7778, \"source\": 3, \"target\": 6}, {\"weight\": 13164, \"source\": 3, \"target\": 5}, {\"weight\": 13647, \"source\": 3, \"target\": 8}, {\"weight\": 14978, \"source\": 3, \"target\": 7}, {\"weight\": 6561, \"source\": 4, \"target\": 6}, {\"weight\": 4252, \"source\": 4, \"target\": 5}, {\"weight\": 4712, \"source\": 4, \"target\": 8}, {\"weight\": 9647, \"source\": 4, \"target\": 7}, {\"weight\": 6258, \"source\": 5, \"target\": 6}, {\"weight\": 4403, \"source\": 5, \"target\": 8}, {\"weight\": 9307, \"source\": 5, \"target\": 7}, {\"weight\": 6940, \"source\": 6, \"target\": 8}, {\"weight\": 11445, \"source\": 6, \"target\": 7}, {\"weight\": 6171, \"source\": 7, \"target\": 8}]}",
"id": 1675,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAM, AZA, OTD, PIP, FUE, ESU, YYT, TMI, PFO\n- Travel distances (in kilometers) between each pair of airports:\nTAM to OTD: 2844\nTAM to FUE: 8992\nTAM to YYT: 5002\nTAM to ESU: 11141\nTAM to PFO: 11869\nTAM to AZA: 2725\nTAM to PIP: 6579\nTAM to TMI: 15401\nAZA to OTD: 5343\nAZA to FUE: 9193\nAZA to YYT: 5108\nAZA to ESU: 11024\nAZA to PFO: 11659\nAZA to PIP: 4742\nAZA to TMI: 13897\nOTD to FUE: 8361\nOTD to YYT: 5919\nOTD to ESU: 11716\nOTD to PFO: 12313\nOTD to PIP: 8939\nOTD to TMI: 16904\nPIP to FUE: 11927\nPIP to YYT: 7778\nPIP to ESU: 13164\nPIP to PFO: 13647\nPIP to TMI: 14978\nFUE to YYT: 6561\nFUE to ESU: 4252\nFUE to PFO: 4712\nFUE to TMI: 9647\nESU to YYT: 6258\nESU to PFO: 4403\nESU to TMI: 9307\nYYT to PFO: 6940\nYYT to TMI: 11445\nTMI to PFO: 6171\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVC, REU, SOW, JUJ, YEK, DEN, KLG, HDN, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nBVC to YEK: 9046\nBVC to KLG: 11994\nBVC to DEN: 8412\nBVC to JUJ: 7881\nBVC to SOW: 9195\nBVC to REU: 3954\nBVC to KCZ: 14427\nBVC to HDN: 8647\nREU to YEK: 9051\nREU to KLG: 11681\nREU to DEN: 8719\nREU to JUJ: 11659\nREU to SOW: 9502\nREU to KCZ: 10895\nREU to HDN: 8954\nSOW to YEK: 3307\nSOW to KLG: 4860\nSOW to DEN: 783\nSOW to JUJ: 9761\nSOW to KCZ: 10140\nSOW to HDN: 1018\nJUJ to YEK: 11676\nJUJ to KLG: 14158\nJUJ to DEN: 9743\nJUJ to KCZ: 19428\nJUJ to HDN: 9978\nYEK to KLG: 6057\nYEK to DEN: 2524\nYEK to KCZ: 11075\nYEK to HDN: 2759\nDEN to HDN: 235\nDEN to KLG: 4415\nDEN to KCZ: 9949\nKLG to KCZ: 11190\nKLG to HDN: 4650\nHDN to KCZ: 10184\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53515,
"style": "rule"
}
|
{
"exact_answer": 53515,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BVC\", \"id\": 0}, {\"name\": \"REU\", \"id\": 1}, {\"name\": \"SOW\", \"id\": 2}, {\"name\": \"JUJ\", \"id\": 3}, {\"name\": \"YEK\", \"id\": 4}, {\"name\": \"DEN\", \"id\": 5}, {\"name\": \"KLG\", \"id\": 6}, {\"name\": \"HDN\", \"id\": 7}, {\"name\": \"KCZ\", \"id\": 8}], \"links\": [{\"weight\": 9046, \"source\": 0, \"target\": 4}, {\"weight\": 11994, \"source\": 0, \"target\": 6}, {\"weight\": 8412, \"source\": 0, \"target\": 5}, {\"weight\": 7881, \"source\": 0, \"target\": 3}, {\"weight\": 9195, \"source\": 0, \"target\": 2}, {\"weight\": 3954, \"source\": 0, \"target\": 1}, {\"weight\": 14427, \"source\": 0, \"target\": 8}, {\"weight\": 8647, \"source\": 0, \"target\": 7}, {\"weight\": 9051, \"source\": 1, \"target\": 4}, {\"weight\": 11681, \"source\": 1, \"target\": 6}, {\"weight\": 8719, \"source\": 1, \"target\": 5}, {\"weight\": 11659, \"source\": 1, \"target\": 3}, {\"weight\": 9502, \"source\": 1, \"target\": 2}, {\"weight\": 10895, \"source\": 1, \"target\": 8}, {\"weight\": 8954, \"source\": 1, \"target\": 7}, {\"weight\": 3307, \"source\": 2, \"target\": 4}, {\"weight\": 4860, \"source\": 2, \"target\": 6}, {\"weight\": 783, \"source\": 2, \"target\": 5}, {\"weight\": 9761, \"source\": 2, \"target\": 3}, {\"weight\": 10140, \"source\": 2, \"target\": 8}, {\"weight\": 1018, \"source\": 2, \"target\": 7}, {\"weight\": 11676, \"source\": 3, \"target\": 4}, {\"weight\": 14158, \"source\": 3, \"target\": 6}, {\"weight\": 9743, \"source\": 3, \"target\": 5}, {\"weight\": 19428, \"source\": 3, \"target\": 8}, {\"weight\": 9978, \"source\": 3, \"target\": 7}, {\"weight\": 6057, \"source\": 4, \"target\": 6}, {\"weight\": 2524, \"source\": 4, \"target\": 5}, {\"weight\": 11075, \"source\": 4, \"target\": 8}, {\"weight\": 2759, \"source\": 4, \"target\": 7}, {\"weight\": 235, \"source\": 5, \"target\": 7}, {\"weight\": 4415, \"source\": 5, \"target\": 6}, {\"weight\": 9949, \"source\": 5, \"target\": 8}, {\"weight\": 11190, \"source\": 6, \"target\": 8}, {\"weight\": 4650, \"source\": 6, \"target\": 7}, {\"weight\": 10184, \"source\": 7, \"target\": 8}]}",
"id": 1676,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVC, REU, SOW, JUJ, YEK, DEN, KLG, HDN, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nBVC to YEK: 9046\nBVC to KLG: 11994\nBVC to DEN: 8412\nBVC to JUJ: 7881\nBVC to SOW: 9195\nBVC to REU: 3954\nBVC to KCZ: 14427\nBVC to HDN: 8647\nREU to YEK: 9051\nREU to KLG: 11681\nREU to DEN: 8719\nREU to JUJ: 11659\nREU to SOW: 9502\nREU to KCZ: 10895\nREU to HDN: 8954\nSOW to YEK: 3307\nSOW to KLG: 4860\nSOW to DEN: 783\nSOW to JUJ: 9761\nSOW to KCZ: 10140\nSOW to HDN: 1018\nJUJ to YEK: 11676\nJUJ to KLG: 14158\nJUJ to DEN: 9743\nJUJ to KCZ: 19428\nJUJ to HDN: 9978\nYEK to KLG: 6057\nYEK to DEN: 2524\nYEK to KCZ: 11075\nYEK to HDN: 2759\nDEN to HDN: 235\nDEN to KLG: 4415\nDEN to KCZ: 9949\nKLG to KCZ: 11190\nKLG to HDN: 4650\nHDN to KCZ: 10184\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXR, PGD, VBY, MYR, ANI, AOJ, FAY, AUU, RIG\n- Travel distances (in kilometers) between each pair of airports:\nIXR to VBY: 6811\nIXR to ANI: 15432\nIXR to FAY: 13548\nIXR to MYR: 13656\nIXR to PGD: 14539\nIXR to AOJ: 5717\nIXR to RIG: 16229\nIXR to AUU: 8829\nPGD to VBY: 8229\nPGD to ANI: 6786\nPGD to FAY: 1197\nPGD to MYR: 1259\nPGD to AOJ: 12519\nPGD to RIG: 9102\nPGD to AUU: 17398\nVBY to ANI: 11010\nVBY to FAY: 7307\nVBY to MYR: 7415\nVBY to AOJ: 8576\nVBY to RIG: 11994\nVBY to AUU: 14556\nMYR to ANI: 6290\nMYR to FAY: 440\nMYR to AOJ: 12182\nMYR to RIG: 8284\nMYR to AUU: 17021\nANI to FAY: 6231\nANI to AOJ: 11127\nANI to RIG: 14153\nANI to AUU: 14511\nAOJ to FAY: 12123\nAOJ to RIG: 19699\nAOJ to AUU: 7332\nFAY to RIG: 8423\nFAY to AUU: 17030\nAUU to RIG: 16101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62800,
"style": "rule"
}
|
{
"exact_answer": 62800,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXR\", \"id\": 0}, {\"name\": \"PGD\", \"id\": 1}, {\"name\": \"VBY\", \"id\": 2}, {\"name\": \"MYR\", \"id\": 3}, {\"name\": \"ANI\", \"id\": 4}, {\"name\": \"AOJ\", \"id\": 5}, {\"name\": \"FAY\", \"id\": 6}, {\"name\": \"AUU\", \"id\": 7}, {\"name\": \"RIG\", \"id\": 8}], \"links\": [{\"weight\": 6811, \"source\": 0, \"target\": 2}, {\"weight\": 15432, \"source\": 0, \"target\": 4}, {\"weight\": 13548, \"source\": 0, \"target\": 6}, {\"weight\": 13656, \"source\": 0, \"target\": 3}, {\"weight\": 14539, \"source\": 0, \"target\": 1}, {\"weight\": 5717, \"source\": 0, \"target\": 5}, {\"weight\": 16229, \"source\": 0, \"target\": 8}, {\"weight\": 8829, \"source\": 0, \"target\": 7}, {\"weight\": 8229, \"source\": 1, \"target\": 2}, {\"weight\": 6786, \"source\": 1, \"target\": 4}, {\"weight\": 1197, \"source\": 1, \"target\": 6}, {\"weight\": 1259, \"source\": 1, \"target\": 3}, {\"weight\": 12519, \"source\": 1, \"target\": 5}, {\"weight\": 9102, \"source\": 1, \"target\": 8}, {\"weight\": 17398, \"source\": 1, \"target\": 7}, {\"weight\": 11010, \"source\": 2, \"target\": 4}, {\"weight\": 7307, \"source\": 2, \"target\": 6}, {\"weight\": 7415, \"source\": 2, \"target\": 3}, {\"weight\": 8576, \"source\": 2, \"target\": 5}, {\"weight\": 11994, \"source\": 2, \"target\": 8}, {\"weight\": 14556, \"source\": 2, \"target\": 7}, {\"weight\": 6290, \"source\": 3, \"target\": 4}, {\"weight\": 440, \"source\": 3, \"target\": 6}, {\"weight\": 12182, \"source\": 3, \"target\": 5}, {\"weight\": 8284, \"source\": 3, \"target\": 8}, {\"weight\": 17021, \"source\": 3, \"target\": 7}, {\"weight\": 6231, \"source\": 4, \"target\": 6}, {\"weight\": 11127, \"source\": 4, \"target\": 5}, {\"weight\": 14153, \"source\": 4, \"target\": 8}, {\"weight\": 14511, \"source\": 4, \"target\": 7}, {\"weight\": 12123, \"source\": 5, \"target\": 6}, {\"weight\": 19699, \"source\": 5, \"target\": 8}, {\"weight\": 7332, \"source\": 5, \"target\": 7}, {\"weight\": 8423, \"source\": 6, \"target\": 8}, {\"weight\": 17030, \"source\": 6, \"target\": 7}, {\"weight\": 16101, \"source\": 7, \"target\": 8}]}",
"id": 1677,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXR, PGD, VBY, MYR, ANI, AOJ, FAY, AUU, RIG\n- Travel distances (in kilometers) between each pair of airports:\nIXR to VBY: 6811\nIXR to ANI: 15432\nIXR to FAY: 13548\nIXR to MYR: 13656\nIXR to PGD: 14539\nIXR to AOJ: 5717\nIXR to RIG: 16229\nIXR to AUU: 8829\nPGD to VBY: 8229\nPGD to ANI: 6786\nPGD to FAY: 1197\nPGD to MYR: 1259\nPGD to AOJ: 12519\nPGD to RIG: 9102\nPGD to AUU: 17398\nVBY to ANI: 11010\nVBY to FAY: 7307\nVBY to MYR: 7415\nVBY to AOJ: 8576\nVBY to RIG: 11994\nVBY to AUU: 14556\nMYR to ANI: 6290\nMYR to FAY: 440\nMYR to AOJ: 12182\nMYR to RIG: 8284\nMYR to AUU: 17021\nANI to FAY: 6231\nANI to AOJ: 11127\nANI to RIG: 14153\nANI to AUU: 14511\nAOJ to FAY: 12123\nAOJ to RIG: 19699\nAOJ to AUU: 7332\nFAY to RIG: 8423\nFAY to AUU: 17030\nAUU to RIG: 16101\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROT, IXS, UAK, TKU, FLA, WLG, ALA, NPE, ORY\n- Travel distances (in kilometers) between each pair of airports:\nROT to WLG: 380\nROT to TKU: 16994\nROT to ALA: 13464\nROT to FLA: 14463\nROT to IXS: 11607\nROT to ORY: 18764\nROT to UAK: 19134\nROT to NPE: 509\nIXS to TKU: 7018\nIXS to ALA: 3289\nIXS to FLA: 17231\nIXS to ORY: 8263\nIXS to WLG: 11612\nIXS to UAK: 11176\nIXS to NPE: 11754\nUAK to TKU: 4264\nUAK to ALA: 8214\nUAK to FLA: 10382\nUAK to ORY: 4124\nUAK to WLG: 19433\nUAK to NPE: 19281\nTKU to ALA: 4056\nTKU to FLA: 10500\nTKU to ORY: 1819\nTKU to WLG: 17293\nTKU to NPE: 17141\nFLA to ALA: 14352\nFLA to ORY: 9015\nFLA to WLG: 14762\nFLA to NPE: 14610\nWLG to NPE: 270\nWLG to ALA: 13571\nWLG to ORY: 19063\nALA to ORY: 5572\nALA to NPE: 13611\nNPE to ORY: 18911\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50524,
"style": "rule"
}
|
{
"exact_answer": 50524,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROT\", \"id\": 0}, {\"name\": \"IXS\", \"id\": 1}, {\"name\": \"UAK\", \"id\": 2}, {\"name\": \"TKU\", \"id\": 3}, {\"name\": \"FLA\", \"id\": 4}, {\"name\": \"WLG\", \"id\": 5}, {\"name\": \"ALA\", \"id\": 6}, {\"name\": \"NPE\", \"id\": 7}, {\"name\": \"ORY\", \"id\": 8}], \"links\": [{\"weight\": 380, \"source\": 0, \"target\": 5}, {\"weight\": 16994, \"source\": 0, \"target\": 3}, {\"weight\": 13464, \"source\": 0, \"target\": 6}, {\"weight\": 14463, \"source\": 0, \"target\": 4}, {\"weight\": 11607, \"source\": 0, \"target\": 1}, {\"weight\": 18764, \"source\": 0, \"target\": 8}, {\"weight\": 19134, \"source\": 0, \"target\": 2}, {\"weight\": 509, \"source\": 0, \"target\": 7}, {\"weight\": 7018, \"source\": 1, \"target\": 3}, {\"weight\": 3289, \"source\": 1, \"target\": 6}, {\"weight\": 17231, \"source\": 1, \"target\": 4}, {\"weight\": 8263, \"source\": 1, \"target\": 8}, {\"weight\": 11612, \"source\": 1, \"target\": 5}, {\"weight\": 11176, \"source\": 1, \"target\": 2}, {\"weight\": 11754, \"source\": 1, \"target\": 7}, {\"weight\": 4264, \"source\": 2, \"target\": 3}, {\"weight\": 8214, \"source\": 2, \"target\": 6}, {\"weight\": 10382, \"source\": 2, \"target\": 4}, {\"weight\": 4124, \"source\": 2, \"target\": 8}, {\"weight\": 19433, \"source\": 2, \"target\": 5}, {\"weight\": 19281, \"source\": 2, \"target\": 7}, {\"weight\": 4056, \"source\": 3, \"target\": 6}, {\"weight\": 10500, \"source\": 3, \"target\": 4}, {\"weight\": 1819, \"source\": 3, \"target\": 8}, {\"weight\": 17293, \"source\": 3, \"target\": 5}, {\"weight\": 17141, \"source\": 3, \"target\": 7}, {\"weight\": 14352, \"source\": 4, \"target\": 6}, {\"weight\": 9015, \"source\": 4, \"target\": 8}, {\"weight\": 14762, \"source\": 4, \"target\": 5}, {\"weight\": 14610, \"source\": 4, \"target\": 7}, {\"weight\": 270, \"source\": 5, \"target\": 7}, {\"weight\": 13571, \"source\": 5, \"target\": 6}, {\"weight\": 19063, \"source\": 5, \"target\": 8}, {\"weight\": 5572, \"source\": 6, \"target\": 8}, {\"weight\": 13611, \"source\": 6, \"target\": 7}, {\"weight\": 18911, \"source\": 7, \"target\": 8}]}",
"id": 1678,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROT, IXS, UAK, TKU, FLA, WLG, ALA, NPE, ORY\n- Travel distances (in kilometers) between each pair of airports:\nROT to WLG: 380\nROT to TKU: 16994\nROT to ALA: 13464\nROT to FLA: 14463\nROT to IXS: 11607\nROT to ORY: 18764\nROT to UAK: 19134\nROT to NPE: 509\nIXS to TKU: 7018\nIXS to ALA: 3289\nIXS to FLA: 17231\nIXS to ORY: 8263\nIXS to WLG: 11612\nIXS to UAK: 11176\nIXS to NPE: 11754\nUAK to TKU: 4264\nUAK to ALA: 8214\nUAK to FLA: 10382\nUAK to ORY: 4124\nUAK to WLG: 19433\nUAK to NPE: 19281\nTKU to ALA: 4056\nTKU to FLA: 10500\nTKU to ORY: 1819\nTKU to WLG: 17293\nTKU to NPE: 17141\nFLA to ALA: 14352\nFLA to ORY: 9015\nFLA to WLG: 14762\nFLA to NPE: 14610\nWLG to NPE: 270\nWLG to ALA: 13571\nWLG to ORY: 19063\nALA to ORY: 5572\nALA to NPE: 13611\nNPE to ORY: 18911\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HZH, RIW, TAP, TFF, DIE, BNS, BCD, XEQ, ABZ\n- Travel distances (in kilometers) between each pair of airports:\nHZH to BCD: 2285\nHZH to BNS: 16790\nHZH to ABZ: 8907\nHZH to TFF: 18431\nHZH to TAP: 15305\nHZH to XEQ: 11777\nHZH to DIE: 9323\nHZH to RIW: 12746\nRIW to BCD: 13166\nRIW to BNS: 5832\nRIW to ABZ: 8013\nRIW to TFF: 7619\nRIW to TAP: 3687\nRIW to XEQ: 8224\nRIW to DIE: 16811\nTAP to BCD: 15530\nTAP to BNS: 3341\nTAP to ABZ: 9092\nTAP to TFF: 4607\nTAP to XEQ: 9705\nTAP to DIE: 16942\nTFF to BCD: 19755\nTFF to BNS: 2879\nTFF to ABZ: 9767\nTFF to XEQ: 11841\nTFF to DIE: 13533\nDIE to BCD: 9552\nDIE to BNS: 15125\nDIE to ABZ: 9392\nDIE to XEQ: 12749\nBNS to BCD: 17934\nBNS to ABZ: 8384\nBNS to XEQ: 9868\nBCD to ABZ: 11028\nBCD to XEQ: 13898\nXEQ to ABZ: 3835\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56243,
"style": "rule"
}
|
{
"exact_answer": 56243,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HZH\", \"id\": 0}, {\"name\": \"RIW\", \"id\": 1}, {\"name\": \"TAP\", \"id\": 2}, {\"name\": \"TFF\", \"id\": 3}, {\"name\": \"DIE\", \"id\": 4}, {\"name\": \"BNS\", \"id\": 5}, {\"name\": \"BCD\", \"id\": 6}, {\"name\": \"XEQ\", \"id\": 7}, {\"name\": \"ABZ\", \"id\": 8}], \"links\": [{\"weight\": 2285, \"source\": 0, \"target\": 6}, {\"weight\": 16790, \"source\": 0, \"target\": 5}, {\"weight\": 8907, \"source\": 0, \"target\": 8}, {\"weight\": 18431, \"source\": 0, \"target\": 3}, {\"weight\": 15305, \"source\": 0, \"target\": 2}, {\"weight\": 11777, \"source\": 0, \"target\": 7}, {\"weight\": 9323, \"source\": 0, \"target\": 4}, {\"weight\": 12746, \"source\": 0, \"target\": 1}, {\"weight\": 13166, \"source\": 1, \"target\": 6}, {\"weight\": 5832, \"source\": 1, \"target\": 5}, {\"weight\": 8013, \"source\": 1, \"target\": 8}, {\"weight\": 7619, \"source\": 1, \"target\": 3}, {\"weight\": 3687, \"source\": 1, \"target\": 2}, {\"weight\": 8224, \"source\": 1, \"target\": 7}, {\"weight\": 16811, \"source\": 1, \"target\": 4}, {\"weight\": 15530, \"source\": 2, \"target\": 6}, {\"weight\": 3341, \"source\": 2, \"target\": 5}, {\"weight\": 9092, \"source\": 2, \"target\": 8}, {\"weight\": 4607, \"source\": 2, \"target\": 3}, {\"weight\": 9705, \"source\": 2, \"target\": 7}, {\"weight\": 16942, \"source\": 2, \"target\": 4}, {\"weight\": 19755, \"source\": 3, \"target\": 6}, {\"weight\": 2879, \"source\": 3, \"target\": 5}, {\"weight\": 9767, \"source\": 3, \"target\": 8}, {\"weight\": 11841, \"source\": 3, \"target\": 7}, {\"weight\": 13533, \"source\": 3, \"target\": 4}, {\"weight\": 9552, \"source\": 4, \"target\": 6}, {\"weight\": 15125, \"source\": 4, \"target\": 5}, {\"weight\": 9392, \"source\": 4, \"target\": 8}, {\"weight\": 12749, \"source\": 4, \"target\": 7}, {\"weight\": 17934, \"source\": 5, \"target\": 6}, {\"weight\": 8384, \"source\": 5, \"target\": 8}, {\"weight\": 9868, \"source\": 5, \"target\": 7}, {\"weight\": 11028, \"source\": 6, \"target\": 8}, {\"weight\": 13898, \"source\": 6, \"target\": 7}, {\"weight\": 3835, \"source\": 7, \"target\": 8}]}",
"id": 1679,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HZH, RIW, TAP, TFF, DIE, BNS, BCD, XEQ, ABZ\n- Travel distances (in kilometers) between each pair of airports:\nHZH to BCD: 2285\nHZH to BNS: 16790\nHZH to ABZ: 8907\nHZH to TFF: 18431\nHZH to TAP: 15305\nHZH to XEQ: 11777\nHZH to DIE: 9323\nHZH to RIW: 12746\nRIW to BCD: 13166\nRIW to BNS: 5832\nRIW to ABZ: 8013\nRIW to TFF: 7619\nRIW to TAP: 3687\nRIW to XEQ: 8224\nRIW to DIE: 16811\nTAP to BCD: 15530\nTAP to BNS: 3341\nTAP to ABZ: 9092\nTAP to TFF: 4607\nTAP to XEQ: 9705\nTAP to DIE: 16942\nTFF to BCD: 19755\nTFF to BNS: 2879\nTFF to ABZ: 9767\nTFF to XEQ: 11841\nTFF to DIE: 13533\nDIE to BCD: 9552\nDIE to BNS: 15125\nDIE to ABZ: 9392\nDIE to XEQ: 12749\nBNS to BCD: 17934\nBNS to ABZ: 8384\nBNS to XEQ: 9868\nBCD to ABZ: 11028\nBCD to XEQ: 13898\nXEQ to ABZ: 3835\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, VER, PEG, LPI, MTY, FUO, YIK, DRV, JSI\n- Travel distances (in kilometers) between each pair of airports:\nYKL to YIK: 1188\nYKL to MTY: 4384\nYKL to VER: 4931\nYKL to JSI: 7757\nYKL to PEG: 7013\nYKL to LPI: 6523\nYKL to FUO: 14639\nYKL to DRV: 13839\nVER to MTY: 839\nVER to YIK: 5514\nVER to JSI: 11406\nVER to PEG: 10338\nVER to LPI: 9896\nVER to FUO: 14870\nVER to DRV: 17437\nPEG to YIK: 8201\nPEG to MTY: 9791\nPEG to JSI: 1879\nPEG to LPI: 2613\nPEG to FUO: 10573\nPEG to DRV: 7649\nLPI to YIK: 7711\nLPI to MTY: 9331\nLPI to JSI: 2640\nLPI to FUO: 9839\nLPI to DRV: 8333\nMTY to YIK: 4967\nMTY to JSI: 10983\nMTY to FUO: 14051\nMTY to DRV: 16880\nFUO to YIK: 14742\nFUO to JSI: 9719\nFUO to DRV: 8012\nYIK to JSI: 8945\nYIK to DRV: 15027\nDRV to JSI: 6527\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47146,
"style": "rule"
}
|
{
"exact_answer": 47146,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YKL\", \"id\": 0}, {\"name\": \"VER\", \"id\": 1}, {\"name\": \"PEG\", \"id\": 2}, {\"name\": \"LPI\", \"id\": 3}, {\"name\": \"MTY\", \"id\": 4}, {\"name\": \"FUO\", \"id\": 5}, {\"name\": \"YIK\", \"id\": 6}, {\"name\": \"DRV\", \"id\": 7}, {\"name\": \"JSI\", \"id\": 8}], \"links\": [{\"weight\": 1188, \"source\": 0, \"target\": 6}, {\"weight\": 4384, \"source\": 0, \"target\": 4}, {\"weight\": 4931, \"source\": 0, \"target\": 1}, {\"weight\": 7757, \"source\": 0, \"target\": 8}, {\"weight\": 7013, \"source\": 0, \"target\": 2}, {\"weight\": 6523, \"source\": 0, \"target\": 3}, {\"weight\": 14639, \"source\": 0, \"target\": 5}, {\"weight\": 13839, \"source\": 0, \"target\": 7}, {\"weight\": 839, \"source\": 1, \"target\": 4}, {\"weight\": 5514, \"source\": 1, \"target\": 6}, {\"weight\": 11406, \"source\": 1, \"target\": 8}, {\"weight\": 10338, \"source\": 1, \"target\": 2}, {\"weight\": 9896, \"source\": 1, \"target\": 3}, {\"weight\": 14870, \"source\": 1, \"target\": 5}, {\"weight\": 17437, \"source\": 1, \"target\": 7}, {\"weight\": 8201, \"source\": 2, \"target\": 6}, {\"weight\": 9791, \"source\": 2, \"target\": 4}, {\"weight\": 1879, \"source\": 2, \"target\": 8}, {\"weight\": 2613, \"source\": 2, \"target\": 3}, {\"weight\": 10573, \"source\": 2, \"target\": 5}, {\"weight\": 7649, \"source\": 2, \"target\": 7}, {\"weight\": 7711, \"source\": 3, \"target\": 6}, {\"weight\": 9331, \"source\": 3, \"target\": 4}, {\"weight\": 2640, \"source\": 3, \"target\": 8}, {\"weight\": 9839, \"source\": 3, \"target\": 5}, {\"weight\": 8333, \"source\": 3, \"target\": 7}, {\"weight\": 4967, \"source\": 4, \"target\": 6}, {\"weight\": 10983, \"source\": 4, \"target\": 8}, {\"weight\": 14051, \"source\": 4, \"target\": 5}, {\"weight\": 16880, \"source\": 4, \"target\": 7}, {\"weight\": 14742, \"source\": 5, \"target\": 6}, {\"weight\": 9719, \"source\": 5, \"target\": 8}, {\"weight\": 8012, \"source\": 5, \"target\": 7}, {\"weight\": 8945, \"source\": 6, \"target\": 8}, {\"weight\": 15027, \"source\": 6, \"target\": 7}, {\"weight\": 6527, \"source\": 7, \"target\": 8}]}",
"id": 1680,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, VER, PEG, LPI, MTY, FUO, YIK, DRV, JSI\n- Travel distances (in kilometers) between each pair of airports:\nYKL to YIK: 1188\nYKL to MTY: 4384\nYKL to VER: 4931\nYKL to JSI: 7757\nYKL to PEG: 7013\nYKL to LPI: 6523\nYKL to FUO: 14639\nYKL to DRV: 13839\nVER to MTY: 839\nVER to YIK: 5514\nVER to JSI: 11406\nVER to PEG: 10338\nVER to LPI: 9896\nVER to FUO: 14870\nVER to DRV: 17437\nPEG to YIK: 8201\nPEG to MTY: 9791\nPEG to JSI: 1879\nPEG to LPI: 2613\nPEG to FUO: 10573\nPEG to DRV: 7649\nLPI to YIK: 7711\nLPI to MTY: 9331\nLPI to JSI: 2640\nLPI to FUO: 9839\nLPI to DRV: 8333\nMTY to YIK: 4967\nMTY to JSI: 10983\nMTY to FUO: 14051\nMTY to DRV: 16880\nFUO to YIK: 14742\nFUO to JSI: 9719\nFUO to DRV: 8012\nYIK to JSI: 8945\nYIK to DRV: 15027\nDRV to JSI: 6527\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AFZ, YBK, JSU, MMJ, SLH, CFB, DIK, GEV, LBB\n- Travel distances (in kilometers) between each pair of airports:\nAFZ to GEV: 5438\nAFZ to YBK: 12698\nAFZ to LBB: 13170\nAFZ to CFB: 13531\nAFZ to DIK: 12278\nAFZ to JSU: 8257\nAFZ to MMJ: 8438\nAFZ to SLH: 15136\nYBK to GEV: 9843\nYBK to LBB: 3694\nYBK to CFB: 11561\nYBK to DIK: 3106\nYBK to JSU: 8879\nYBK to MMJ: 12187\nYBK to SLH: 14101\nJSU to GEV: 4534\nJSU to LBB: 8008\nJSU to CFB: 12665\nJSU to DIK: 7577\nJSU to MMJ: 12326\nJSU to SLH: 18160\nMMJ to GEV: 9576\nMMJ to LBB: 11615\nMMJ to CFB: 19525\nMMJ to DIK: 11666\nMMJ to SLH: 9253\nSLH to GEV: 17032\nSLH to LBB: 11938\nSLH to CFB: 15414\nSLH to DIK: 12484\nCFB to GEV: 11643\nCFB to LBB: 9063\nCFB to DIK: 9997\nDIK to GEV: 9006\nDIK to LBB: 1519\nGEV to LBB: 9441\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65644,
"style": "rule"
}
|
{
"exact_answer": 65644,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AFZ\", \"id\": 0}, {\"name\": \"YBK\", \"id\": 1}, {\"name\": \"JSU\", \"id\": 2}, {\"name\": \"MMJ\", \"id\": 3}, {\"name\": \"SLH\", \"id\": 4}, {\"name\": \"CFB\", \"id\": 5}, {\"name\": \"DIK\", \"id\": 6}, {\"name\": \"GEV\", \"id\": 7}, {\"name\": \"LBB\", \"id\": 8}], \"links\": [{\"weight\": 5438, \"source\": 0, \"target\": 7}, {\"weight\": 12698, \"source\": 0, \"target\": 1}, {\"weight\": 13170, \"source\": 0, \"target\": 8}, {\"weight\": 13531, \"source\": 0, \"target\": 5}, {\"weight\": 12278, \"source\": 0, \"target\": 6}, {\"weight\": 8257, \"source\": 0, \"target\": 2}, {\"weight\": 8438, \"source\": 0, \"target\": 3}, {\"weight\": 15136, \"source\": 0, \"target\": 4}, {\"weight\": 9843, \"source\": 1, \"target\": 7}, {\"weight\": 3694, \"source\": 1, \"target\": 8}, {\"weight\": 11561, \"source\": 1, \"target\": 5}, {\"weight\": 3106, \"source\": 1, \"target\": 6}, {\"weight\": 8879, \"source\": 1, \"target\": 2}, {\"weight\": 12187, \"source\": 1, \"target\": 3}, {\"weight\": 14101, \"source\": 1, \"target\": 4}, {\"weight\": 4534, \"source\": 2, \"target\": 7}, {\"weight\": 8008, \"source\": 2, \"target\": 8}, {\"weight\": 12665, \"source\": 2, \"target\": 5}, {\"weight\": 7577, \"source\": 2, \"target\": 6}, {\"weight\": 12326, \"source\": 2, \"target\": 3}, {\"weight\": 18160, \"source\": 2, \"target\": 4}, {\"weight\": 9576, \"source\": 3, \"target\": 7}, {\"weight\": 11615, \"source\": 3, \"target\": 8}, {\"weight\": 19525, \"source\": 3, \"target\": 5}, {\"weight\": 11666, \"source\": 3, \"target\": 6}, {\"weight\": 9253, \"source\": 3, \"target\": 4}, {\"weight\": 17032, \"source\": 4, \"target\": 7}, {\"weight\": 11938, \"source\": 4, \"target\": 8}, {\"weight\": 15414, \"source\": 4, \"target\": 5}, {\"weight\": 12484, \"source\": 4, \"target\": 6}, {\"weight\": 11643, \"source\": 5, \"target\": 7}, {\"weight\": 9063, \"source\": 5, \"target\": 8}, {\"weight\": 9997, \"source\": 5, \"target\": 6}, {\"weight\": 9006, \"source\": 6, \"target\": 7}, {\"weight\": 1519, \"source\": 6, \"target\": 8}, {\"weight\": 9441, \"source\": 7, \"target\": 8}]}",
"id": 1681,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AFZ, YBK, JSU, MMJ, SLH, CFB, DIK, GEV, LBB\n- Travel distances (in kilometers) between each pair of airports:\nAFZ to GEV: 5438\nAFZ to YBK: 12698\nAFZ to LBB: 13170\nAFZ to CFB: 13531\nAFZ to DIK: 12278\nAFZ to JSU: 8257\nAFZ to MMJ: 8438\nAFZ to SLH: 15136\nYBK to GEV: 9843\nYBK to LBB: 3694\nYBK to CFB: 11561\nYBK to DIK: 3106\nYBK to JSU: 8879\nYBK to MMJ: 12187\nYBK to SLH: 14101\nJSU to GEV: 4534\nJSU to LBB: 8008\nJSU to CFB: 12665\nJSU to DIK: 7577\nJSU to MMJ: 12326\nJSU to SLH: 18160\nMMJ to GEV: 9576\nMMJ to LBB: 11615\nMMJ to CFB: 19525\nMMJ to DIK: 11666\nMMJ to SLH: 9253\nSLH to GEV: 17032\nSLH to LBB: 11938\nSLH to CFB: 15414\nSLH to DIK: 12484\nCFB to GEV: 11643\nCFB to LBB: 9063\nCFB to DIK: 9997\nDIK to GEV: 9006\nDIK to LBB: 1519\nGEV to LBB: 9441\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZI, UYL, REC, MAU, SHH, KWL, MDG, KVK, ACH\n- Travel distances (in kilometers) between each pair of airports:\nPZI to ACH: 8483\nPZI to KWL: 1193\nPZI to SHH: 14114\nPZI to REC: 16013\nPZI to MDG: 3190\nPZI to KVK: 7858\nPZI to UYL: 8780\nPZI to MAU: 13564\nUYL to ACH: 5420\nUYL to KWL: 8985\nUYL to SHH: 17027\nUYL to REC: 10334\nUYL to MDG: 10500\nUYL to KVK: 6745\nUYL to MAU: 21209\nREC to ACH: 8644\nREC to KWL: 16362\nREC to SHH: 13624\nREC to MDG: 16315\nREC to KVK: 11125\nREC to MAU: 12951\nMAU to ACH: 17348\nMAU to KWL: 12869\nMAU to SHH: 10255\nMAU to MDG: 11835\nMAU to KVK: 18486\nSHH to ACH: 12710\nSHH to KWL: 13795\nSHH to MDG: 12178\nSHH to KVK: 13947\nKWL to ACH: 8831\nKWL to MDG: 2778\nKWL to KVK: 8206\nMDG to ACH: 9154\nMDG to KVK: 8330\nKVK to ACH: 3566\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66533,
"style": "rule"
}
|
{
"exact_answer": 66533,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PZI\", \"id\": 0}, {\"name\": \"UYL\", \"id\": 1}, {\"name\": \"REC\", \"id\": 2}, {\"name\": \"MAU\", \"id\": 3}, {\"name\": \"SHH\", \"id\": 4}, {\"name\": \"KWL\", \"id\": 5}, {\"name\": \"MDG\", \"id\": 6}, {\"name\": \"KVK\", \"id\": 7}, {\"name\": \"ACH\", \"id\": 8}], \"links\": [{\"weight\": 8483, \"source\": 0, \"target\": 8}, {\"weight\": 1193, \"source\": 0, \"target\": 5}, {\"weight\": 14114, \"source\": 0, \"target\": 4}, {\"weight\": 16013, \"source\": 0, \"target\": 2}, {\"weight\": 3190, \"source\": 0, \"target\": 6}, {\"weight\": 7858, \"source\": 0, \"target\": 7}, {\"weight\": 8780, \"source\": 0, \"target\": 1}, {\"weight\": 13564, \"source\": 0, \"target\": 3}, {\"weight\": 5420, \"source\": 1, \"target\": 8}, {\"weight\": 8985, \"source\": 1, \"target\": 5}, {\"weight\": 17027, \"source\": 1, \"target\": 4}, {\"weight\": 10334, \"source\": 1, \"target\": 2}, {\"weight\": 10500, \"source\": 1, \"target\": 6}, {\"weight\": 6745, \"source\": 1, \"target\": 7}, {\"weight\": 21209, \"source\": 1, \"target\": 3}, {\"weight\": 8644, \"source\": 2, \"target\": 8}, {\"weight\": 16362, \"source\": 2, \"target\": 5}, {\"weight\": 13624, \"source\": 2, \"target\": 4}, {\"weight\": 16315, \"source\": 2, \"target\": 6}, {\"weight\": 11125, \"source\": 2, \"target\": 7}, {\"weight\": 12951, \"source\": 2, \"target\": 3}, {\"weight\": 17348, \"source\": 3, \"target\": 8}, {\"weight\": 12869, \"source\": 3, \"target\": 5}, {\"weight\": 10255, \"source\": 3, \"target\": 4}, {\"weight\": 11835, \"source\": 3, \"target\": 6}, {\"weight\": 18486, \"source\": 3, \"target\": 7}, {\"weight\": 12710, \"source\": 4, \"target\": 8}, {\"weight\": 13795, \"source\": 4, \"target\": 5}, {\"weight\": 12178, \"source\": 4, \"target\": 6}, {\"weight\": 13947, \"source\": 4, \"target\": 7}, {\"weight\": 8831, \"source\": 5, \"target\": 8}, {\"weight\": 2778, \"source\": 5, \"target\": 6}, {\"weight\": 8206, \"source\": 5, \"target\": 7}, {\"weight\": 9154, \"source\": 6, \"target\": 8}, {\"weight\": 8330, \"source\": 6, \"target\": 7}, {\"weight\": 3566, \"source\": 7, \"target\": 8}]}",
"id": 1682,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZI, UYL, REC, MAU, SHH, KWL, MDG, KVK, ACH\n- Travel distances (in kilometers) between each pair of airports:\nPZI to ACH: 8483\nPZI to KWL: 1193\nPZI to SHH: 14114\nPZI to REC: 16013\nPZI to MDG: 3190\nPZI to KVK: 7858\nPZI to UYL: 8780\nPZI to MAU: 13564\nUYL to ACH: 5420\nUYL to KWL: 8985\nUYL to SHH: 17027\nUYL to REC: 10334\nUYL to MDG: 10500\nUYL to KVK: 6745\nUYL to MAU: 21209\nREC to ACH: 8644\nREC to KWL: 16362\nREC to SHH: 13624\nREC to MDG: 16315\nREC to KVK: 11125\nREC to MAU: 12951\nMAU to ACH: 17348\nMAU to KWL: 12869\nMAU to SHH: 10255\nMAU to MDG: 11835\nMAU to KVK: 18486\nSHH to ACH: 12710\nSHH to KWL: 13795\nSHH to MDG: 12178\nSHH to KVK: 13947\nKWL to ACH: 8831\nKWL to MDG: 2778\nKWL to KVK: 8206\nMDG to ACH: 9154\nMDG to KVK: 8330\nKVK to ACH: 3566\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRO, HIN, ARU, LSC, XNN, APO, CWL, MGB, MMJ\n- Travel distances (in kilometers) between each pair of airports:\nKRO to XNN: 4450\nKRO to CWL: 4456\nKRO to APO: 12908\nKRO to ARU: 13944\nKRO to LSC: 15928\nKRO to MMJ: 6859\nKRO to HIN: 5906\nKRO to MGB: 13263\nHIN to XNN: 2487\nHIN to CWL: 9616\nHIN to APO: 15840\nHIN to ARU: 19206\nHIN to LSC: 19169\nHIN to MMJ: 1332\nHIN to MGB: 8645\nARU to XNN: 17231\nARU to CWL: 9993\nARU to APO: 5240\nARU to LSC: 3480\nARU to MMJ: 20017\nARU to MGB: 15493\nLSC to XNN: 19397\nLSC to CWL: 12303\nLSC to APO: 4415\nLSC to MMJ: 19237\nLSC to MGB: 12789\nXNN to CWL: 7917\nXNN to APO: 16541\nXNN to MMJ: 3365\nXNN to MGB: 9212\nAPO to CWL: 9437\nAPO to MMJ: 16090\nAPO to MGB: 17077\nCWL to MMJ: 10412\nCWL to MGB: 16851\nMGB to MMJ: 9240\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52911,
"style": "rule"
}
|
{
"exact_answer": 52911,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRO\", \"id\": 0}, {\"name\": \"HIN\", \"id\": 1}, {\"name\": \"ARU\", \"id\": 2}, {\"name\": \"LSC\", \"id\": 3}, {\"name\": \"XNN\", \"id\": 4}, {\"name\": \"APO\", \"id\": 5}, {\"name\": \"CWL\", \"id\": 6}, {\"name\": \"MGB\", \"id\": 7}, {\"name\": \"MMJ\", \"id\": 8}], \"links\": [{\"weight\": 4450, \"source\": 0, \"target\": 4}, {\"weight\": 4456, \"source\": 0, \"target\": 6}, {\"weight\": 12908, \"source\": 0, \"target\": 5}, {\"weight\": 13944, \"source\": 0, \"target\": 2}, {\"weight\": 15928, \"source\": 0, \"target\": 3}, {\"weight\": 6859, \"source\": 0, \"target\": 8}, {\"weight\": 5906, \"source\": 0, \"target\": 1}, {\"weight\": 13263, \"source\": 0, \"target\": 7}, {\"weight\": 2487, \"source\": 1, \"target\": 4}, {\"weight\": 9616, \"source\": 1, \"target\": 6}, {\"weight\": 15840, \"source\": 1, \"target\": 5}, {\"weight\": 19206, \"source\": 1, \"target\": 2}, {\"weight\": 19169, \"source\": 1, \"target\": 3}, {\"weight\": 1332, \"source\": 1, \"target\": 8}, {\"weight\": 8645, \"source\": 1, \"target\": 7}, {\"weight\": 17231, \"source\": 2, \"target\": 4}, {\"weight\": 9993, \"source\": 2, \"target\": 6}, {\"weight\": 5240, \"source\": 2, \"target\": 5}, {\"weight\": 3480, \"source\": 2, \"target\": 3}, {\"weight\": 20017, \"source\": 2, \"target\": 8}, {\"weight\": 15493, \"source\": 2, \"target\": 7}, {\"weight\": 19397, \"source\": 3, \"target\": 4}, {\"weight\": 12303, \"source\": 3, \"target\": 6}, {\"weight\": 4415, \"source\": 3, \"target\": 5}, {\"weight\": 19237, \"source\": 3, \"target\": 8}, {\"weight\": 12789, \"source\": 3, \"target\": 7}, {\"weight\": 7917, \"source\": 4, \"target\": 6}, {\"weight\": 16541, \"source\": 4, \"target\": 5}, {\"weight\": 3365, \"source\": 4, \"target\": 8}, {\"weight\": 9212, \"source\": 4, \"target\": 7}, {\"weight\": 9437, \"source\": 5, \"target\": 6}, {\"weight\": 16090, \"source\": 5, \"target\": 8}, {\"weight\": 17077, \"source\": 5, \"target\": 7}, {\"weight\": 10412, \"source\": 6, \"target\": 8}, {\"weight\": 16851, \"source\": 6, \"target\": 7}, {\"weight\": 9240, \"source\": 7, \"target\": 8}]}",
"id": 1683,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRO, HIN, ARU, LSC, XNN, APO, CWL, MGB, MMJ\n- Travel distances (in kilometers) between each pair of airports:\nKRO to XNN: 4450\nKRO to CWL: 4456\nKRO to APO: 12908\nKRO to ARU: 13944\nKRO to LSC: 15928\nKRO to MMJ: 6859\nKRO to HIN: 5906\nKRO to MGB: 13263\nHIN to XNN: 2487\nHIN to CWL: 9616\nHIN to APO: 15840\nHIN to ARU: 19206\nHIN to LSC: 19169\nHIN to MMJ: 1332\nHIN to MGB: 8645\nARU to XNN: 17231\nARU to CWL: 9993\nARU to APO: 5240\nARU to LSC: 3480\nARU to MMJ: 20017\nARU to MGB: 15493\nLSC to XNN: 19397\nLSC to CWL: 12303\nLSC to APO: 4415\nLSC to MMJ: 19237\nLSC to MGB: 12789\nXNN to CWL: 7917\nXNN to APO: 16541\nXNN to MMJ: 3365\nXNN to MGB: 9212\nAPO to CWL: 9437\nAPO to MMJ: 16090\nAPO to MGB: 17077\nCWL to MMJ: 10412\nCWL to MGB: 16851\nMGB to MMJ: 9240\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDY, GOH, PPK, KBP, SLH, BSB, MAN, IFJ, UUD\n- Travel distances (in kilometers) between each pair of airports:\nLDY to BSB: 9255\nLDY to MAN: 655\nLDY to KBP: 2657\nLDY to PPK: 7273\nLDY to GOH: 3469\nLDY to UUD: 7057\nLDY to SLH: 17997\nLDY to IFJ: 5118\nGOH to BSB: 11978\nGOH to MAN: 3053\nGOH to KBP: 4834\nGOH to PPK: 9142\nGOH to UUD: 8784\nGOH to SLH: 18012\nGOH to IFJ: 1649\nPPK to BSB: 15526\nPPK to MAN: 7045\nPPK to KBP: 4925\nPPK to UUD: 4255\nPPK to SLH: 13713\nPPK to IFJ: 10791\nKBP to BSB: 10601\nKBP to MAN: 2282\nKBP to UUD: 5098\nKBP to SLH: 15856\nKBP to IFJ: 6391\nSLH to BSB: 15814\nSLH to MAN: 17601\nSLH to UUD: 11059\nSLH to IFJ: 19661\nBSB to MAN: 8996\nBSB to UUD: 15529\nBSB to IFJ: 13627\nMAN to UUD: 6732\nMAN to IFJ: 4702\nIFJ to UUD: 10433\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57056,
"style": "rule"
}
|
{
"exact_answer": 57056,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LDY\", \"id\": 0}, {\"name\": \"GOH\", \"id\": 1}, {\"name\": \"PPK\", \"id\": 2}, {\"name\": \"KBP\", \"id\": 3}, {\"name\": \"SLH\", \"id\": 4}, {\"name\": \"BSB\", \"id\": 5}, {\"name\": \"MAN\", \"id\": 6}, {\"name\": \"IFJ\", \"id\": 7}, {\"name\": \"UUD\", \"id\": 8}], \"links\": [{\"weight\": 9255, \"source\": 0, \"target\": 5}, {\"weight\": 655, \"source\": 0, \"target\": 6}, {\"weight\": 2657, \"source\": 0, \"target\": 3}, {\"weight\": 7273, \"source\": 0, \"target\": 2}, {\"weight\": 3469, \"source\": 0, \"target\": 1}, {\"weight\": 7057, \"source\": 0, \"target\": 8}, {\"weight\": 17997, \"source\": 0, \"target\": 4}, {\"weight\": 5118, \"source\": 0, \"target\": 7}, {\"weight\": 11978, \"source\": 1, \"target\": 5}, {\"weight\": 3053, \"source\": 1, \"target\": 6}, {\"weight\": 4834, \"source\": 1, \"target\": 3}, {\"weight\": 9142, \"source\": 1, \"target\": 2}, {\"weight\": 8784, \"source\": 1, \"target\": 8}, {\"weight\": 18012, \"source\": 1, \"target\": 4}, {\"weight\": 1649, \"source\": 1, \"target\": 7}, {\"weight\": 15526, \"source\": 2, \"target\": 5}, {\"weight\": 7045, \"source\": 2, \"target\": 6}, {\"weight\": 4925, \"source\": 2, \"target\": 3}, {\"weight\": 4255, \"source\": 2, \"target\": 8}, {\"weight\": 13713, \"source\": 2, \"target\": 4}, {\"weight\": 10791, \"source\": 2, \"target\": 7}, {\"weight\": 10601, \"source\": 3, \"target\": 5}, {\"weight\": 2282, \"source\": 3, \"target\": 6}, {\"weight\": 5098, \"source\": 3, \"target\": 8}, {\"weight\": 15856, \"source\": 3, \"target\": 4}, {\"weight\": 6391, \"source\": 3, \"target\": 7}, {\"weight\": 15814, \"source\": 4, \"target\": 5}, {\"weight\": 17601, \"source\": 4, \"target\": 6}, {\"weight\": 11059, \"source\": 4, \"target\": 8}, {\"weight\": 19661, \"source\": 4, \"target\": 7}, {\"weight\": 8996, \"source\": 5, \"target\": 6}, {\"weight\": 15529, \"source\": 5, \"target\": 8}, {\"weight\": 13627, \"source\": 5, \"target\": 7}, {\"weight\": 6732, \"source\": 6, \"target\": 8}, {\"weight\": 4702, \"source\": 6, \"target\": 7}, {\"weight\": 10433, \"source\": 7, \"target\": 8}]}",
"id": 1684,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDY, GOH, PPK, KBP, SLH, BSB, MAN, IFJ, UUD\n- Travel distances (in kilometers) between each pair of airports:\nLDY to BSB: 9255\nLDY to MAN: 655\nLDY to KBP: 2657\nLDY to PPK: 7273\nLDY to GOH: 3469\nLDY to UUD: 7057\nLDY to SLH: 17997\nLDY to IFJ: 5118\nGOH to BSB: 11978\nGOH to MAN: 3053\nGOH to KBP: 4834\nGOH to PPK: 9142\nGOH to UUD: 8784\nGOH to SLH: 18012\nGOH to IFJ: 1649\nPPK to BSB: 15526\nPPK to MAN: 7045\nPPK to KBP: 4925\nPPK to UUD: 4255\nPPK to SLH: 13713\nPPK to IFJ: 10791\nKBP to BSB: 10601\nKBP to MAN: 2282\nKBP to UUD: 5098\nKBP to SLH: 15856\nKBP to IFJ: 6391\nSLH to BSB: 15814\nSLH to MAN: 17601\nSLH to UUD: 11059\nSLH to IFJ: 19661\nBSB to MAN: 8996\nBSB to UUD: 15529\nBSB to IFJ: 13627\nMAN to UUD: 6732\nMAN to IFJ: 4702\nIFJ to UUD: 10433\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXU, CFE, GNV, SRA, MOL, YQF, HOT, ADB, LZY\n- Travel distances (in kilometers) between each pair of airports:\nIXU to GNV: 14220\nIXU to LZY: 2706\nIXU to ADB: 5239\nIXU to CFE: 7221\nIXU to YQF: 13935\nIXU to MOL: 7254\nIXU to HOT: 14086\nIXU to SRA: 15284\nCFE to GNV: 7660\nCFE to LZY: 8316\nCFE to ADB: 2141\nCFE to YQF: 7831\nCFE to MOL: 1912\nCFE to HOT: 7967\nCFE to SRA: 10523\nGNV to LZY: 14502\nGNV to ADB: 9621\nGNV to YQF: 3749\nGNV to MOL: 7392\nGNV to HOT: 1306\nGNV to SRA: 7810\nSRA to LZY: 17303\nSRA to ADB: 12018\nSRA to YQF: 11451\nSRA to MOL: 12059\nSRA to HOT: 9010\nMOL to LZY: 7994\nMOL to ADB: 3057\nMOL to YQF: 7067\nMOL to HOT: 7555\nYQF to LZY: 11715\nYQF to ADB: 9612\nYQF to HOT: 3171\nHOT to LZY: 14125\nHOT to ADB: 9902\nADB to LZY: 6440\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47439,
"style": "rule"
}
|
{
"exact_answer": 47439,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IXU\", \"id\": 0}, {\"name\": \"CFE\", \"id\": 1}, {\"name\": \"GNV\", \"id\": 2}, {\"name\": \"SRA\", \"id\": 3}, {\"name\": \"MOL\", \"id\": 4}, {\"name\": \"YQF\", \"id\": 5}, {\"name\": \"HOT\", \"id\": 6}, {\"name\": \"ADB\", \"id\": 7}, {\"name\": \"LZY\", \"id\": 8}], \"links\": [{\"weight\": 14220, \"source\": 0, \"target\": 2}, {\"weight\": 2706, \"source\": 0, \"target\": 8}, {\"weight\": 5239, \"source\": 0, \"target\": 7}, {\"weight\": 7221, \"source\": 0, \"target\": 1}, {\"weight\": 13935, \"source\": 0, \"target\": 5}, {\"weight\": 7254, \"source\": 0, \"target\": 4}, {\"weight\": 14086, \"source\": 0, \"target\": 6}, {\"weight\": 15284, \"source\": 0, \"target\": 3}, {\"weight\": 7660, \"source\": 1, \"target\": 2}, {\"weight\": 8316, \"source\": 1, \"target\": 8}, {\"weight\": 2141, \"source\": 1, \"target\": 7}, {\"weight\": 7831, \"source\": 1, \"target\": 5}, {\"weight\": 1912, \"source\": 1, \"target\": 4}, {\"weight\": 7967, \"source\": 1, \"target\": 6}, {\"weight\": 10523, \"source\": 1, \"target\": 3}, {\"weight\": 14502, \"source\": 2, \"target\": 8}, {\"weight\": 9621, \"source\": 2, \"target\": 7}, {\"weight\": 3749, \"source\": 2, \"target\": 5}, {\"weight\": 7392, \"source\": 2, \"target\": 4}, {\"weight\": 1306, \"source\": 2, \"target\": 6}, {\"weight\": 7810, \"source\": 2, \"target\": 3}, {\"weight\": 17303, \"source\": 3, \"target\": 8}, {\"weight\": 12018, \"source\": 3, \"target\": 7}, {\"weight\": 11451, \"source\": 3, \"target\": 5}, {\"weight\": 12059, \"source\": 3, \"target\": 4}, {\"weight\": 9010, \"source\": 3, \"target\": 6}, {\"weight\": 7994, \"source\": 4, \"target\": 8}, {\"weight\": 3057, \"source\": 4, \"target\": 7}, {\"weight\": 7067, \"source\": 4, \"target\": 5}, {\"weight\": 7555, \"source\": 4, \"target\": 6}, {\"weight\": 11715, \"source\": 5, \"target\": 8}, {\"weight\": 9612, \"source\": 5, \"target\": 7}, {\"weight\": 3171, \"source\": 5, \"target\": 6}, {\"weight\": 14125, \"source\": 6, \"target\": 8}, {\"weight\": 9902, \"source\": 6, \"target\": 7}, {\"weight\": 6440, \"source\": 7, \"target\": 8}]}",
"id": 1685,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IXU, CFE, GNV, SRA, MOL, YQF, HOT, ADB, LZY\n- Travel distances (in kilometers) between each pair of airports:\nIXU to GNV: 14220\nIXU to LZY: 2706\nIXU to ADB: 5239\nIXU to CFE: 7221\nIXU to YQF: 13935\nIXU to MOL: 7254\nIXU to HOT: 14086\nIXU to SRA: 15284\nCFE to GNV: 7660\nCFE to LZY: 8316\nCFE to ADB: 2141\nCFE to YQF: 7831\nCFE to MOL: 1912\nCFE to HOT: 7967\nCFE to SRA: 10523\nGNV to LZY: 14502\nGNV to ADB: 9621\nGNV to YQF: 3749\nGNV to MOL: 7392\nGNV to HOT: 1306\nGNV to SRA: 7810\nSRA to LZY: 17303\nSRA to ADB: 12018\nSRA to YQF: 11451\nSRA to MOL: 12059\nSRA to HOT: 9010\nMOL to LZY: 7994\nMOL to ADB: 3057\nMOL to YQF: 7067\nMOL to HOT: 7555\nYQF to LZY: 11715\nYQF to ADB: 9612\nYQF to HOT: 3171\nHOT to LZY: 14125\nHOT to ADB: 9902\nADB to LZY: 6440\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JQE, CEN, CFR, DAD, SIC, CKD, SGY, CFN, PGV\n- Travel distances (in kilometers) between each pair of airports:\nJQE to CEN: 4064\nJQE to CKD: 9089\nJQE to SIC: 317\nJQE to CFR: 9954\nJQE to PGV: 3894\nJQE to CFN: 9584\nJQE to DAD: 17575\nJQE to SGY: 7852\nCEN to CKD: 5407\nCEN to SIC: 3937\nCEN to CFR: 9755\nCEN to PGV: 3517\nCEN to CFN: 9017\nCEN to DAD: 13685\nCEN to SGY: 4084\nCFR to CKD: 11197\nCFR to SIC: 9827\nCFR to PGV: 7240\nCFR to CFN: 1234\nCFR to DAD: 10040\nCFR to SGY: 9869\nDAD to CKD: 14269\nDAD to SIC: 17448\nDAD to PGV: 14632\nDAD to CFN: 10355\nDAD to SGY: 12941\nSIC to CKD: 8962\nSIC to PGV: 3767\nSIC to CFN: 9457\nSIC to SGY: 7725\nCKD to PGV: 6449\nCKD to CFN: 10337\nCKD to SGY: 1636\nSGY to PGV: 5574\nSGY to CFN: 9009\nCFN to PGV: 6521\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45927,
"style": "rule"
}
|
{
"exact_answer": 45927,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JQE\", \"id\": 0}, {\"name\": \"CEN\", \"id\": 1}, {\"name\": \"CFR\", \"id\": 2}, {\"name\": \"DAD\", \"id\": 3}, {\"name\": \"SIC\", \"id\": 4}, {\"name\": \"CKD\", \"id\": 5}, {\"name\": \"SGY\", \"id\": 6}, {\"name\": \"CFN\", \"id\": 7}, {\"name\": \"PGV\", \"id\": 8}], \"links\": [{\"weight\": 4064, \"source\": 0, \"target\": 1}, {\"weight\": 9089, \"source\": 0, \"target\": 5}, {\"weight\": 317, \"source\": 0, \"target\": 4}, {\"weight\": 9954, \"source\": 0, \"target\": 2}, {\"weight\": 3894, \"source\": 0, \"target\": 8}, {\"weight\": 9584, \"source\": 0, \"target\": 7}, {\"weight\": 17575, \"source\": 0, \"target\": 3}, {\"weight\": 7852, \"source\": 0, \"target\": 6}, {\"weight\": 5407, \"source\": 1, \"target\": 5}, {\"weight\": 3937, \"source\": 1, \"target\": 4}, {\"weight\": 9755, \"source\": 1, \"target\": 2}, {\"weight\": 3517, \"source\": 1, \"target\": 8}, {\"weight\": 9017, \"source\": 1, \"target\": 7}, {\"weight\": 13685, \"source\": 1, \"target\": 3}, {\"weight\": 4084, \"source\": 1, \"target\": 6}, {\"weight\": 11197, \"source\": 2, \"target\": 5}, {\"weight\": 9827, \"source\": 2, \"target\": 4}, {\"weight\": 7240, \"source\": 2, \"target\": 8}, {\"weight\": 1234, \"source\": 2, \"target\": 7}, {\"weight\": 10040, \"source\": 2, \"target\": 3}, {\"weight\": 9869, \"source\": 2, \"target\": 6}, {\"weight\": 14269, \"source\": 3, \"target\": 5}, {\"weight\": 17448, \"source\": 3, \"target\": 4}, {\"weight\": 14632, \"source\": 3, \"target\": 8}, {\"weight\": 10355, \"source\": 3, \"target\": 7}, {\"weight\": 12941, \"source\": 3, \"target\": 6}, {\"weight\": 8962, \"source\": 4, \"target\": 5}, {\"weight\": 3767, \"source\": 4, \"target\": 8}, {\"weight\": 9457, \"source\": 4, \"target\": 7}, {\"weight\": 7725, \"source\": 4, \"target\": 6}, {\"weight\": 6449, \"source\": 5, \"target\": 8}, {\"weight\": 10337, \"source\": 5, \"target\": 7}, {\"weight\": 1636, \"source\": 5, \"target\": 6}, {\"weight\": 5574, \"source\": 6, \"target\": 8}, {\"weight\": 9009, \"source\": 6, \"target\": 7}, {\"weight\": 6521, \"source\": 7, \"target\": 8}]}",
"id": 1686,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JQE, CEN, CFR, DAD, SIC, CKD, SGY, CFN, PGV\n- Travel distances (in kilometers) between each pair of airports:\nJQE to CEN: 4064\nJQE to CKD: 9089\nJQE to SIC: 317\nJQE to CFR: 9954\nJQE to PGV: 3894\nJQE to CFN: 9584\nJQE to DAD: 17575\nJQE to SGY: 7852\nCEN to CKD: 5407\nCEN to SIC: 3937\nCEN to CFR: 9755\nCEN to PGV: 3517\nCEN to CFN: 9017\nCEN to DAD: 13685\nCEN to SGY: 4084\nCFR to CKD: 11197\nCFR to SIC: 9827\nCFR to PGV: 7240\nCFR to CFN: 1234\nCFR to DAD: 10040\nCFR to SGY: 9869\nDAD to CKD: 14269\nDAD to SIC: 17448\nDAD to PGV: 14632\nDAD to CFN: 10355\nDAD to SGY: 12941\nSIC to CKD: 8962\nSIC to PGV: 3767\nSIC to CFN: 9457\nSIC to SGY: 7725\nCKD to PGV: 6449\nCKD to CFN: 10337\nCKD to SGY: 1636\nSGY to PGV: 5574\nSGY to CFN: 9009\nCFN to PGV: 6521\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUC, TLA, FDE, RAE, SZA, HDG, ATH, BNA, DRS\n- Travel distances (in kilometers) between each pair of airports:\nMUC to DRS: 340\nMUC to ATH: 1517\nMUC to HDG: 8835\nMUC to TLA: 11776\nMUC to BNA: 7670\nMUC to SZA: 7178\nMUC to RAE: 4856\nMUC to FDE: 1519\nTLA to DRS: 11786\nTLA to HDG: 12788\nTLA to ATH: 13292\nTLA to BNA: 6116\nTLA to SZA: 17513\nTLA to RAE: 16521\nTLA to FDE: 10705\nFDE to DRS: 1671\nFDE to HDG: 8503\nFDE to ATH: 2938\nFDE to BNA: 6815\nFDE to SZA: 8164\nFDE to RAE: 6057\nRAE to DRS: 5129\nRAE to HDG: 7662\nRAE to ATH: 3367\nRAE to BNA: 12487\nRAE to SZA: 6230\nSZA to DRS: 7265\nSZA to HDG: 12151\nSZA to ATH: 6631\nSZA to BNA: 12227\nHDG to DRS: 8552\nHDG to ATH: 8519\nHDG to BNA: 12313\nATH to DRS: 1762\nATH to BNA: 9125\nBNA to DRS: 7685\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49770,
"style": "rule"
}
|
{
"exact_answer": 49770,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MUC\", \"id\": 0}, {\"name\": \"TLA\", \"id\": 1}, {\"name\": \"FDE\", \"id\": 2}, {\"name\": \"RAE\", \"id\": 3}, {\"name\": \"SZA\", \"id\": 4}, {\"name\": \"HDG\", \"id\": 5}, {\"name\": \"ATH\", \"id\": 6}, {\"name\": \"BNA\", \"id\": 7}, {\"name\": \"DRS\", \"id\": 8}], \"links\": [{\"weight\": 340, \"source\": 0, \"target\": 8}, {\"weight\": 1517, \"source\": 0, \"target\": 6}, {\"weight\": 8835, \"source\": 0, \"target\": 5}, {\"weight\": 11776, \"source\": 0, \"target\": 1}, {\"weight\": 7670, \"source\": 0, \"target\": 7}, {\"weight\": 7178, \"source\": 0, \"target\": 4}, {\"weight\": 4856, \"source\": 0, \"target\": 3}, {\"weight\": 1519, \"source\": 0, \"target\": 2}, {\"weight\": 11786, \"source\": 1, \"target\": 8}, {\"weight\": 12788, \"source\": 1, \"target\": 5}, {\"weight\": 13292, \"source\": 1, \"target\": 6}, {\"weight\": 6116, \"source\": 1, \"target\": 7}, {\"weight\": 17513, \"source\": 1, \"target\": 4}, {\"weight\": 16521, \"source\": 1, \"target\": 3}, {\"weight\": 10705, \"source\": 1, \"target\": 2}, {\"weight\": 1671, \"source\": 2, \"target\": 8}, {\"weight\": 8503, \"source\": 2, \"target\": 5}, {\"weight\": 2938, \"source\": 2, \"target\": 6}, {\"weight\": 6815, \"source\": 2, \"target\": 7}, {\"weight\": 8164, \"source\": 2, \"target\": 4}, {\"weight\": 6057, \"source\": 2, \"target\": 3}, {\"weight\": 5129, \"source\": 3, \"target\": 8}, {\"weight\": 7662, \"source\": 3, \"target\": 5}, {\"weight\": 3367, \"source\": 3, \"target\": 6}, {\"weight\": 12487, \"source\": 3, \"target\": 7}, {\"weight\": 6230, \"source\": 3, \"target\": 4}, {\"weight\": 7265, \"source\": 4, \"target\": 8}, {\"weight\": 12151, \"source\": 4, \"target\": 5}, {\"weight\": 6631, \"source\": 4, \"target\": 6}, {\"weight\": 12227, \"source\": 4, \"target\": 7}, {\"weight\": 8552, \"source\": 5, \"target\": 8}, {\"weight\": 8519, \"source\": 5, \"target\": 6}, {\"weight\": 12313, \"source\": 5, \"target\": 7}, {\"weight\": 1762, \"source\": 6, \"target\": 8}, {\"weight\": 9125, \"source\": 6, \"target\": 7}, {\"weight\": 7685, \"source\": 7, \"target\": 8}]}",
"id": 1687,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUC, TLA, FDE, RAE, SZA, HDG, ATH, BNA, DRS\n- Travel distances (in kilometers) between each pair of airports:\nMUC to DRS: 340\nMUC to ATH: 1517\nMUC to HDG: 8835\nMUC to TLA: 11776\nMUC to BNA: 7670\nMUC to SZA: 7178\nMUC to RAE: 4856\nMUC to FDE: 1519\nTLA to DRS: 11786\nTLA to HDG: 12788\nTLA to ATH: 13292\nTLA to BNA: 6116\nTLA to SZA: 17513\nTLA to RAE: 16521\nTLA to FDE: 10705\nFDE to DRS: 1671\nFDE to HDG: 8503\nFDE to ATH: 2938\nFDE to BNA: 6815\nFDE to SZA: 8164\nFDE to RAE: 6057\nRAE to DRS: 5129\nRAE to HDG: 7662\nRAE to ATH: 3367\nRAE to BNA: 12487\nRAE to SZA: 6230\nSZA to DRS: 7265\nSZA to HDG: 12151\nSZA to ATH: 6631\nSZA to BNA: 12227\nHDG to DRS: 8552\nHDG to ATH: 8519\nHDG to BNA: 12313\nATH to DRS: 1762\nATH to BNA: 9125\nBNA to DRS: 7685\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, WRE, LUK, MEM, DHI, CZL, YLH, TRO, RNL\n- Travel distances (in kilometers) between each pair of airports:\nMFE to MEM: 1263\nMFE to CZL: 9578\nMFE to RNL: 13544\nMFE to WRE: 12953\nMFE to LUK: 2398\nMFE to YLH: 3801\nMFE to DHI: 15316\nMFE to TRO: 14645\nWRE to MEM: 13227\nWRE to CZL: 19198\nWRE to RNL: 3897\nWRE to LUK: 13849\nWRE to YLH: 14153\nWRE to DHI: 12408\nWRE to TRO: 2561\nLUK to MEM: 1184\nLUK to CZL: 8190\nLUK to RNL: 14440\nLUK to YLH: 2468\nLUK to DHI: 14080\nLUK to TRO: 15541\nMEM to CZL: 8339\nMEM to RNL: 13818\nMEM to YLH: 2661\nMEM to DHI: 14108\nMEM to TRO: 14761\nDHI to CZL: 7776\nDHI to RNL: 10114\nDHI to YLH: 14310\nDHI to TRO: 10485\nCZL to RNL: 16702\nCZL to YLH: 8438\nCZL to TRO: 17218\nYLH to RNL: 14688\nYLH to TRO: 15661\nTRO to RNL: 3373\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50130,
"style": "rule"
}
|
{
"exact_answer": 50130,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MFE\", \"id\": 0}, {\"name\": \"WRE\", \"id\": 1}, {\"name\": \"LUK\", \"id\": 2}, {\"name\": \"MEM\", \"id\": 3}, {\"name\": \"DHI\", \"id\": 4}, {\"name\": \"CZL\", \"id\": 5}, {\"name\": \"YLH\", \"id\": 6}, {\"name\": \"TRO\", \"id\": 7}, {\"name\": \"RNL\", \"id\": 8}], \"links\": [{\"weight\": 1263, \"source\": 0, \"target\": 3}, {\"weight\": 9578, \"source\": 0, \"target\": 5}, {\"weight\": 13544, \"source\": 0, \"target\": 8}, {\"weight\": 12953, \"source\": 0, \"target\": 1}, {\"weight\": 2398, \"source\": 0, \"target\": 2}, {\"weight\": 3801, \"source\": 0, \"target\": 6}, {\"weight\": 15316, \"source\": 0, \"target\": 4}, {\"weight\": 14645, \"source\": 0, \"target\": 7}, {\"weight\": 13227, \"source\": 1, \"target\": 3}, {\"weight\": 19198, \"source\": 1, \"target\": 5}, {\"weight\": 3897, \"source\": 1, \"target\": 8}, {\"weight\": 13849, \"source\": 1, \"target\": 2}, {\"weight\": 14153, \"source\": 1, \"target\": 6}, {\"weight\": 12408, \"source\": 1, \"target\": 4}, {\"weight\": 2561, \"source\": 1, \"target\": 7}, {\"weight\": 1184, \"source\": 2, \"target\": 3}, {\"weight\": 8190, \"source\": 2, \"target\": 5}, {\"weight\": 14440, \"source\": 2, \"target\": 8}, {\"weight\": 2468, \"source\": 2, \"target\": 6}, {\"weight\": 14080, \"source\": 2, \"target\": 4}, {\"weight\": 15541, \"source\": 2, \"target\": 7}, {\"weight\": 8339, \"source\": 3, \"target\": 5}, {\"weight\": 13818, \"source\": 3, \"target\": 8}, {\"weight\": 2661, \"source\": 3, \"target\": 6}, {\"weight\": 14108, \"source\": 3, \"target\": 4}, {\"weight\": 14761, \"source\": 3, \"target\": 7}, {\"weight\": 7776, \"source\": 4, \"target\": 5}, {\"weight\": 10114, \"source\": 4, \"target\": 8}, {\"weight\": 14310, \"source\": 4, \"target\": 6}, {\"weight\": 10485, \"source\": 4, \"target\": 7}, {\"weight\": 16702, \"source\": 5, \"target\": 8}, {\"weight\": 8438, \"source\": 5, \"target\": 6}, {\"weight\": 17218, \"source\": 5, \"target\": 7}, {\"weight\": 14688, \"source\": 6, \"target\": 8}, {\"weight\": 15661, \"source\": 6, \"target\": 7}, {\"weight\": 3373, \"source\": 7, \"target\": 8}]}",
"id": 1688,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, WRE, LUK, MEM, DHI, CZL, YLH, TRO, RNL\n- Travel distances (in kilometers) between each pair of airports:\nMFE to MEM: 1263\nMFE to CZL: 9578\nMFE to RNL: 13544\nMFE to WRE: 12953\nMFE to LUK: 2398\nMFE to YLH: 3801\nMFE to DHI: 15316\nMFE to TRO: 14645\nWRE to MEM: 13227\nWRE to CZL: 19198\nWRE to RNL: 3897\nWRE to LUK: 13849\nWRE to YLH: 14153\nWRE to DHI: 12408\nWRE to TRO: 2561\nLUK to MEM: 1184\nLUK to CZL: 8190\nLUK to RNL: 14440\nLUK to YLH: 2468\nLUK to DHI: 14080\nLUK to TRO: 15541\nMEM to CZL: 8339\nMEM to RNL: 13818\nMEM to YLH: 2661\nMEM to DHI: 14108\nMEM to TRO: 14761\nDHI to CZL: 7776\nDHI to RNL: 10114\nDHI to YLH: 14310\nDHI to TRO: 10485\nCZL to RNL: 16702\nCZL to YLH: 8438\nCZL to TRO: 17218\nYLH to RNL: 14688\nYLH to TRO: 15661\nTRO to RNL: 3373\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, SFA, GZP, NQN, MAN, SLM, BUA, FWA, ATC\n- Travel distances (in kilometers) between each pair of airports:\nHSV to MAN: 6679\nHSV to GZP: 9966\nHSV to NQN: 8707\nHSV to SFA: 8571\nHSV to FWA: 1061\nHSV to BUA: 16165\nHSV to SLM: 8107\nHSV to ATC: 1588\nSFA to MAN: 2311\nSFA to GZP: 2517\nSFA to NQN: 12130\nSFA to FWA: 8064\nSFA to BUA: 15913\nSFA to SLM: 1734\nSFA to ATC: 9080\nGZP to MAN: 3290\nGZP to NQN: 13854\nGZP to FWA: 9336\nGZP to BUA: 14231\nGZP to SLM: 3466\nGZP to ATC: 10263\nNQN to MAN: 12311\nNQN to FWA: 9282\nNQN to BUA: 15849\nNQN to SLM: 12087\nNQN to ATC: 7650\nMAN to FWA: 6059\nMAN to BUA: 15618\nMAN to SLM: 2014\nMAN to ATC: 7259\nSLM to FWA: 7600\nSLM to BUA: 16708\nSLM to ATC: 8651\nBUA to FWA: 16267\nBUA to ATC: 17445\nFWA to ATC: 2165\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52703,
"style": "rule"
}
|
{
"exact_answer": 52703,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HSV\", \"id\": 0}, {\"name\": \"SFA\", \"id\": 1}, {\"name\": \"GZP\", \"id\": 2}, {\"name\": \"NQN\", \"id\": 3}, {\"name\": \"MAN\", \"id\": 4}, {\"name\": \"SLM\", \"id\": 5}, {\"name\": \"BUA\", \"id\": 6}, {\"name\": \"FWA\", \"id\": 7}, {\"name\": \"ATC\", \"id\": 8}], \"links\": [{\"weight\": 6679, \"source\": 0, \"target\": 4}, {\"weight\": 9966, \"source\": 0, \"target\": 2}, {\"weight\": 8707, \"source\": 0, \"target\": 3}, {\"weight\": 8571, \"source\": 0, \"target\": 1}, {\"weight\": 1061, \"source\": 0, \"target\": 7}, {\"weight\": 16165, \"source\": 0, \"target\": 6}, {\"weight\": 8107, \"source\": 0, \"target\": 5}, {\"weight\": 1588, \"source\": 0, \"target\": 8}, {\"weight\": 2311, \"source\": 1, \"target\": 4}, {\"weight\": 2517, \"source\": 1, \"target\": 2}, {\"weight\": 12130, \"source\": 1, \"target\": 3}, {\"weight\": 8064, \"source\": 1, \"target\": 7}, {\"weight\": 15913, \"source\": 1, \"target\": 6}, {\"weight\": 1734, \"source\": 1, \"target\": 5}, {\"weight\": 9080, \"source\": 1, \"target\": 8}, {\"weight\": 3290, \"source\": 2, \"target\": 4}, {\"weight\": 13854, \"source\": 2, \"target\": 3}, {\"weight\": 9336, \"source\": 2, \"target\": 7}, {\"weight\": 14231, \"source\": 2, \"target\": 6}, {\"weight\": 3466, \"source\": 2, \"target\": 5}, {\"weight\": 10263, \"source\": 2, \"target\": 8}, {\"weight\": 12311, \"source\": 3, \"target\": 4}, {\"weight\": 9282, \"source\": 3, \"target\": 7}, {\"weight\": 15849, \"source\": 3, \"target\": 6}, {\"weight\": 12087, \"source\": 3, \"target\": 5}, {\"weight\": 7650, \"source\": 3, \"target\": 8}, {\"weight\": 6059, \"source\": 4, \"target\": 7}, {\"weight\": 15618, \"source\": 4, \"target\": 6}, {\"weight\": 2014, \"source\": 4, \"target\": 5}, {\"weight\": 7259, \"source\": 4, \"target\": 8}, {\"weight\": 7600, \"source\": 5, \"target\": 7}, {\"weight\": 16708, \"source\": 5, \"target\": 6}, {\"weight\": 8651, \"source\": 5, \"target\": 8}, {\"weight\": 16267, \"source\": 6, \"target\": 7}, {\"weight\": 17445, \"source\": 6, \"target\": 8}, {\"weight\": 2165, \"source\": 7, \"target\": 8}]}",
"id": 1689,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, SFA, GZP, NQN, MAN, SLM, BUA, FWA, ATC\n- Travel distances (in kilometers) between each pair of airports:\nHSV to MAN: 6679\nHSV to GZP: 9966\nHSV to NQN: 8707\nHSV to SFA: 8571\nHSV to FWA: 1061\nHSV to BUA: 16165\nHSV to SLM: 8107\nHSV to ATC: 1588\nSFA to MAN: 2311\nSFA to GZP: 2517\nSFA to NQN: 12130\nSFA to FWA: 8064\nSFA to BUA: 15913\nSFA to SLM: 1734\nSFA to ATC: 9080\nGZP to MAN: 3290\nGZP to NQN: 13854\nGZP to FWA: 9336\nGZP to BUA: 14231\nGZP to SLM: 3466\nGZP to ATC: 10263\nNQN to MAN: 12311\nNQN to FWA: 9282\nNQN to BUA: 15849\nNQN to SLM: 12087\nNQN to ATC: 7650\nMAN to FWA: 6059\nMAN to BUA: 15618\nMAN to SLM: 2014\nMAN to ATC: 7259\nSLM to FWA: 7600\nSLM to BUA: 16708\nSLM to ATC: 8651\nBUA to FWA: 16267\nBUA to ATC: 17445\nFWA to ATC: 2165\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TVU, AOG, ENU, LUQ, MJF, WNA, ZNZ, ABE, TNK\n- Travel distances (in kilometers) between each pair of airports:\nTVU to WNA: 10539\nTVU to TNK: 10715\nTVU to ZNZ: 15162\nTVU to ABE: 13050\nTVU to LUQ: 13907\nTVU to AOG: 9879\nTVU to ENU: 19441\nTVU to MJF: 16686\nAOG to WNA: 12195\nAOG to TNK: 12371\nAOG to ZNZ: 10165\nAOG to ABE: 11724\nAOG to LUQ: 20554\nAOG to ENU: 11901\nAOG to MJF: 8047\nENU to WNA: 15272\nENU to TNK: 15448\nENU to ZNZ: 4786\nENU to ABE: 9166\nENU to LUQ: 9241\nENU to MJF: 6740\nLUQ to WNA: 14877\nLUQ to TNK: 15053\nLUQ to ZNZ: 12268\nLUQ to ABE: 9685\nLUQ to MJF: 13669\nMJF to WNA: 10699\nMJF to TNK: 10875\nMJF to ZNZ: 8417\nMJF to ABE: 6304\nWNA to TNK: 200\nWNA to ZNZ: 18089\nWNA to ABE: 6221\nZNZ to TNK: 18265\nZNZ to ABE: 12984\nABE to TNK: 6397\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67191,
"style": "rule"
}
|
{
"exact_answer": 67191,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TVU\", \"id\": 0}, {\"name\": \"AOG\", \"id\": 1}, {\"name\": \"ENU\", \"id\": 2}, {\"name\": \"LUQ\", \"id\": 3}, {\"name\": \"MJF\", \"id\": 4}, {\"name\": \"WNA\", \"id\": 5}, {\"name\": \"ZNZ\", \"id\": 6}, {\"name\": \"ABE\", \"id\": 7}, {\"name\": \"TNK\", \"id\": 8}], \"links\": [{\"weight\": 10539, \"source\": 0, \"target\": 5}, {\"weight\": 10715, \"source\": 0, \"target\": 8}, {\"weight\": 15162, \"source\": 0, \"target\": 6}, {\"weight\": 13050, \"source\": 0, \"target\": 7}, {\"weight\": 13907, \"source\": 0, \"target\": 3}, {\"weight\": 9879, \"source\": 0, \"target\": 1}, {\"weight\": 19441, \"source\": 0, \"target\": 2}, {\"weight\": 16686, \"source\": 0, \"target\": 4}, {\"weight\": 12195, \"source\": 1, \"target\": 5}, {\"weight\": 12371, \"source\": 1, \"target\": 8}, {\"weight\": 10165, \"source\": 1, \"target\": 6}, {\"weight\": 11724, \"source\": 1, \"target\": 7}, {\"weight\": 20554, \"source\": 1, \"target\": 3}, {\"weight\": 11901, \"source\": 1, \"target\": 2}, {\"weight\": 8047, \"source\": 1, \"target\": 4}, {\"weight\": 15272, \"source\": 2, \"target\": 5}, {\"weight\": 15448, \"source\": 2, \"target\": 8}, {\"weight\": 4786, \"source\": 2, \"target\": 6}, {\"weight\": 9166, \"source\": 2, \"target\": 7}, {\"weight\": 9241, \"source\": 2, \"target\": 3}, {\"weight\": 6740, \"source\": 2, \"target\": 4}, {\"weight\": 14877, \"source\": 3, \"target\": 5}, {\"weight\": 15053, \"source\": 3, \"target\": 8}, {\"weight\": 12268, \"source\": 3, \"target\": 6}, {\"weight\": 9685, \"source\": 3, \"target\": 7}, {\"weight\": 13669, \"source\": 3, \"target\": 4}, {\"weight\": 10699, \"source\": 4, \"target\": 5}, {\"weight\": 10875, \"source\": 4, \"target\": 8}, {\"weight\": 8417, \"source\": 4, \"target\": 6}, {\"weight\": 6304, \"source\": 4, \"target\": 7}, {\"weight\": 200, \"source\": 5, \"target\": 8}, {\"weight\": 18089, \"source\": 5, \"target\": 6}, {\"weight\": 6221, \"source\": 5, \"target\": 7}, {\"weight\": 18265, \"source\": 6, \"target\": 8}, {\"weight\": 12984, \"source\": 6, \"target\": 7}, {\"weight\": 6397, \"source\": 7, \"target\": 8}]}",
"id": 1690,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TVU, AOG, ENU, LUQ, MJF, WNA, ZNZ, ABE, TNK\n- Travel distances (in kilometers) between each pair of airports:\nTVU to WNA: 10539\nTVU to TNK: 10715\nTVU to ZNZ: 15162\nTVU to ABE: 13050\nTVU to LUQ: 13907\nTVU to AOG: 9879\nTVU to ENU: 19441\nTVU to MJF: 16686\nAOG to WNA: 12195\nAOG to TNK: 12371\nAOG to ZNZ: 10165\nAOG to ABE: 11724\nAOG to LUQ: 20554\nAOG to ENU: 11901\nAOG to MJF: 8047\nENU to WNA: 15272\nENU to TNK: 15448\nENU to ZNZ: 4786\nENU to ABE: 9166\nENU to LUQ: 9241\nENU to MJF: 6740\nLUQ to WNA: 14877\nLUQ to TNK: 15053\nLUQ to ZNZ: 12268\nLUQ to ABE: 9685\nLUQ to MJF: 13669\nMJF to WNA: 10699\nMJF to TNK: 10875\nMJF to ZNZ: 8417\nMJF to ABE: 6304\nWNA to TNK: 200\nWNA to ZNZ: 18089\nWNA to ABE: 6221\nZNZ to TNK: 18265\nZNZ to ABE: 12984\nABE to TNK: 6397\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRS, BNN, BTJ, FAO, WWK, ATL, ERN, YJT, AEP\n- Travel distances (in kilometers) between each pair of airports:\nLRS to ATL: 9418\nLRS to FAO: 3165\nLRS to AEP: 12429\nLRS to ERN: 12045\nLRS to BTJ: 9230\nLRS to WWK: 14648\nLRS to YJT: 6848\nLRS to BNN: 3447\nBNN to ATL: 7215\nBNN to FAO: 3428\nBNN to AEP: 12869\nBNN to ERN: 11589\nBNN to BTJ: 10331\nBNN to WWK: 14784\nBNN to YJT: 5872\nBTJ to ATL: 16325\nBTJ to FAO: 12016\nBTJ to AEP: 18405\nBTJ to ERN: 20355\nBTJ to WWK: 6753\nBTJ to YJT: 15048\nFAO to ATL: 6842\nFAO to AEP: 9575\nFAO to ERN: 9148\nFAO to WWK: 16880\nFAO to YJT: 5870\nWWK to ATL: 16165\nWWK to AEP: 15943\nWWK to ERN: 21306\nWWK to YJT: 18040\nATL to AEP: 8176\nATL to ERN: 6034\nATL to YJT: 2961\nERN to AEP: 5506\nERN to YJT: 7780\nYJT to AEP: 10213\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58892,
"style": "rule"
}
|
{
"exact_answer": 58892,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LRS\", \"id\": 0}, {\"name\": \"BNN\", \"id\": 1}, {\"name\": \"BTJ\", \"id\": 2}, {\"name\": \"FAO\", \"id\": 3}, {\"name\": \"WWK\", \"id\": 4}, {\"name\": \"ATL\", \"id\": 5}, {\"name\": \"ERN\", \"id\": 6}, {\"name\": \"YJT\", \"id\": 7}, {\"name\": \"AEP\", \"id\": 8}], \"links\": [{\"weight\": 9418, \"source\": 0, \"target\": 5}, {\"weight\": 3165, \"source\": 0, \"target\": 3}, {\"weight\": 12429, \"source\": 0, \"target\": 8}, {\"weight\": 12045, \"source\": 0, \"target\": 6}, {\"weight\": 9230, \"source\": 0, \"target\": 2}, {\"weight\": 14648, \"source\": 0, \"target\": 4}, {\"weight\": 6848, \"source\": 0, \"target\": 7}, {\"weight\": 3447, \"source\": 0, \"target\": 1}, {\"weight\": 7215, \"source\": 1, \"target\": 5}, {\"weight\": 3428, \"source\": 1, \"target\": 3}, {\"weight\": 12869, \"source\": 1, \"target\": 8}, {\"weight\": 11589, \"source\": 1, \"target\": 6}, {\"weight\": 10331, \"source\": 1, \"target\": 2}, {\"weight\": 14784, \"source\": 1, \"target\": 4}, {\"weight\": 5872, \"source\": 1, \"target\": 7}, {\"weight\": 16325, \"source\": 2, \"target\": 5}, {\"weight\": 12016, \"source\": 2, \"target\": 3}, {\"weight\": 18405, \"source\": 2, \"target\": 8}, {\"weight\": 20355, \"source\": 2, \"target\": 6}, {\"weight\": 6753, \"source\": 2, \"target\": 4}, {\"weight\": 15048, \"source\": 2, \"target\": 7}, {\"weight\": 6842, \"source\": 3, \"target\": 5}, {\"weight\": 9575, \"source\": 3, \"target\": 8}, {\"weight\": 9148, \"source\": 3, \"target\": 6}, {\"weight\": 16880, \"source\": 3, \"target\": 4}, {\"weight\": 5870, \"source\": 3, \"target\": 7}, {\"weight\": 16165, \"source\": 4, \"target\": 5}, {\"weight\": 15943, \"source\": 4, \"target\": 8}, {\"weight\": 21306, \"source\": 4, \"target\": 6}, {\"weight\": 18040, \"source\": 4, \"target\": 7}, {\"weight\": 8176, \"source\": 5, \"target\": 8}, {\"weight\": 6034, \"source\": 5, \"target\": 6}, {\"weight\": 2961, \"source\": 5, \"target\": 7}, {\"weight\": 5506, \"source\": 6, \"target\": 8}, {\"weight\": 7780, \"source\": 6, \"target\": 7}, {\"weight\": 10213, \"source\": 7, \"target\": 8}]}",
"id": 1691,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LRS, BNN, BTJ, FAO, WWK, ATL, ERN, YJT, AEP\n- Travel distances (in kilometers) between each pair of airports:\nLRS to ATL: 9418\nLRS to FAO: 3165\nLRS to AEP: 12429\nLRS to ERN: 12045\nLRS to BTJ: 9230\nLRS to WWK: 14648\nLRS to YJT: 6848\nLRS to BNN: 3447\nBNN to ATL: 7215\nBNN to FAO: 3428\nBNN to AEP: 12869\nBNN to ERN: 11589\nBNN to BTJ: 10331\nBNN to WWK: 14784\nBNN to YJT: 5872\nBTJ to ATL: 16325\nBTJ to FAO: 12016\nBTJ to AEP: 18405\nBTJ to ERN: 20355\nBTJ to WWK: 6753\nBTJ to YJT: 15048\nFAO to ATL: 6842\nFAO to AEP: 9575\nFAO to ERN: 9148\nFAO to WWK: 16880\nFAO to YJT: 5870\nWWK to ATL: 16165\nWWK to AEP: 15943\nWWK to ERN: 21306\nWWK to YJT: 18040\nATL to AEP: 8176\nATL to ERN: 6034\nATL to YJT: 2961\nERN to AEP: 5506\nERN to YJT: 7780\nYJT to AEP: 10213\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, SHM, PYH, NBC, BWI, SAH, YDP, KKI, KUD\n- Travel distances (in kilometers) between each pair of airports:\nTRI to NBC: 9318\nTRI to KKI: 6396\nTRI to BWI: 772\nTRI to SAH: 12150\nTRI to SHM: 12000\nTRI to KUD: 15449\nTRI to YDP: 3249\nTRI to PYH: 3859\nSHM to NBC: 7434\nSHM to KKI: 11163\nSHM to BWI: 11819\nSHM to SAH: 9976\nSHM to KUD: 4684\nSHM to YDP: 13459\nSHM to PYH: 15298\nPYH to NBC: 11530\nPYH to KKI: 9850\nPYH to BWI: 3885\nPYH to SAH: 12791\nPYH to KUD: 18841\nPYH to YDP: 5750\nNBC to KKI: 12923\nNBC to BWI: 8562\nNBC to SAH: 4579\nNBC to KUD: 8359\nNBC to YDP: 8341\nBWI to KKI: 6216\nBWI to SAH: 11390\nBWI to KUD: 14972\nBWI to YDP: 2526\nSAH to KKI: 16151\nSAH to KUD: 8230\nSAH to YDP: 10535\nYDP to KKI: 8003\nYDP to KUD: 16511\nKKI to KUD: 14900\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53594,
"style": "rule"
}
|
{
"exact_answer": 53594,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRI\", \"id\": 0}, {\"name\": \"SHM\", \"id\": 1}, {\"name\": \"PYH\", \"id\": 2}, {\"name\": \"NBC\", \"id\": 3}, {\"name\": \"BWI\", \"id\": 4}, {\"name\": \"SAH\", \"id\": 5}, {\"name\": \"YDP\", \"id\": 6}, {\"name\": \"KKI\", \"id\": 7}, {\"name\": \"KUD\", \"id\": 8}], \"links\": [{\"weight\": 9318, \"source\": 0, \"target\": 3}, {\"weight\": 6396, \"source\": 0, \"target\": 7}, {\"weight\": 772, \"source\": 0, \"target\": 4}, {\"weight\": 12150, \"source\": 0, \"target\": 5}, {\"weight\": 12000, \"source\": 0, \"target\": 1}, {\"weight\": 15449, \"source\": 0, \"target\": 8}, {\"weight\": 3249, \"source\": 0, \"target\": 6}, {\"weight\": 3859, \"source\": 0, \"target\": 2}, {\"weight\": 7434, \"source\": 1, \"target\": 3}, {\"weight\": 11163, \"source\": 1, \"target\": 7}, {\"weight\": 11819, \"source\": 1, \"target\": 4}, {\"weight\": 9976, \"source\": 1, \"target\": 5}, {\"weight\": 4684, \"source\": 1, \"target\": 8}, {\"weight\": 13459, \"source\": 1, \"target\": 6}, {\"weight\": 15298, \"source\": 1, \"target\": 2}, {\"weight\": 11530, \"source\": 2, \"target\": 3}, {\"weight\": 9850, \"source\": 2, \"target\": 7}, {\"weight\": 3885, \"source\": 2, \"target\": 4}, {\"weight\": 12791, \"source\": 2, \"target\": 5}, {\"weight\": 18841, \"source\": 2, \"target\": 8}, {\"weight\": 5750, \"source\": 2, \"target\": 6}, {\"weight\": 12923, \"source\": 3, \"target\": 7}, {\"weight\": 8562, \"source\": 3, \"target\": 4}, {\"weight\": 4579, \"source\": 3, \"target\": 5}, {\"weight\": 8359, \"source\": 3, \"target\": 8}, {\"weight\": 8341, \"source\": 3, \"target\": 6}, {\"weight\": 6216, \"source\": 4, \"target\": 7}, {\"weight\": 11390, \"source\": 4, \"target\": 5}, {\"weight\": 14972, \"source\": 4, \"target\": 8}, {\"weight\": 2526, \"source\": 4, \"target\": 6}, {\"weight\": 16151, \"source\": 5, \"target\": 7}, {\"weight\": 8230, \"source\": 5, \"target\": 8}, {\"weight\": 10535, \"source\": 5, \"target\": 6}, {\"weight\": 8003, \"source\": 6, \"target\": 7}, {\"weight\": 16511, \"source\": 6, \"target\": 8}, {\"weight\": 14900, \"source\": 7, \"target\": 8}]}",
"id": 1692,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, SHM, PYH, NBC, BWI, SAH, YDP, KKI, KUD\n- Travel distances (in kilometers) between each pair of airports:\nTRI to NBC: 9318\nTRI to KKI: 6396\nTRI to BWI: 772\nTRI to SAH: 12150\nTRI to SHM: 12000\nTRI to KUD: 15449\nTRI to YDP: 3249\nTRI to PYH: 3859\nSHM to NBC: 7434\nSHM to KKI: 11163\nSHM to BWI: 11819\nSHM to SAH: 9976\nSHM to KUD: 4684\nSHM to YDP: 13459\nSHM to PYH: 15298\nPYH to NBC: 11530\nPYH to KKI: 9850\nPYH to BWI: 3885\nPYH to SAH: 12791\nPYH to KUD: 18841\nPYH to YDP: 5750\nNBC to KKI: 12923\nNBC to BWI: 8562\nNBC to SAH: 4579\nNBC to KUD: 8359\nNBC to YDP: 8341\nBWI to KKI: 6216\nBWI to SAH: 11390\nBWI to KUD: 14972\nBWI to YDP: 2526\nSAH to KKI: 16151\nSAH to KUD: 8230\nSAH to YDP: 10535\nYDP to KKI: 8003\nYDP to KUD: 16511\nKKI to KUD: 14900\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, TRK, PVG, GIB, OKC, TUF, ZTH, IUE, QFX\n- Travel distances (in kilometers) between each pair of airports:\nCAG to PVG: 9560\nCAG to ZTH: 1300\nCAG to OKC: 8865\nCAG to GIB: 3230\nCAG to TUF: 1130\nCAG to TRK: 11616\nCAG to QFX: 5383\nCAG to IUE: 21243\nTRK to PVG: 3281\nTRK to ZTH: 10625\nTRK to OKC: 14648\nTRK to GIB: 13599\nTRK to TUF: 12326\nTRK to QFX: 14445\nTRK to IUE: 10637\nPVG to ZTH: 8843\nPVG to OKC: 11602\nPVG to GIB: 10968\nPVG to TUF: 9680\nPVG to QFX: 11778\nPVG to IUE: 11856\nGIB to ZTH: 3942\nGIB to OKC: 9164\nGIB to TUF: 2806\nGIB to QFX: 5521\nGIB to IUE: 22659\nOKC to ZTH: 9718\nOKC to TUF: 7838\nOKC to QFX: 7899\nOKC to IUE: 14879\nTUF to ZTH: 2083\nTUF to QFX: 4322\nTUF to IUE: 21438\nZTH to QFX: 6021\nZTH to IUE: 20229\nIUE to QFX: 21518\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56296,
"style": "rule"
}
|
{
"exact_answer": 56296,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAG\", \"id\": 0}, {\"name\": \"TRK\", \"id\": 1}, {\"name\": \"PVG\", \"id\": 2}, {\"name\": \"GIB\", \"id\": 3}, {\"name\": \"OKC\", \"id\": 4}, {\"name\": \"TUF\", \"id\": 5}, {\"name\": \"ZTH\", \"id\": 6}, {\"name\": \"IUE\", \"id\": 7}, {\"name\": \"QFX\", \"id\": 8}], \"links\": [{\"weight\": 9560, \"source\": 0, \"target\": 2}, {\"weight\": 1300, \"source\": 0, \"target\": 6}, {\"weight\": 8865, \"source\": 0, \"target\": 4}, {\"weight\": 3230, \"source\": 0, \"target\": 3}, {\"weight\": 1130, \"source\": 0, \"target\": 5}, {\"weight\": 11616, \"source\": 0, \"target\": 1}, {\"weight\": 5383, \"source\": 0, \"target\": 8}, {\"weight\": 21243, \"source\": 0, \"target\": 7}, {\"weight\": 3281, \"source\": 1, \"target\": 2}, {\"weight\": 10625, \"source\": 1, \"target\": 6}, {\"weight\": 14648, \"source\": 1, \"target\": 4}, {\"weight\": 13599, \"source\": 1, \"target\": 3}, {\"weight\": 12326, \"source\": 1, \"target\": 5}, {\"weight\": 14445, \"source\": 1, \"target\": 8}, {\"weight\": 10637, \"source\": 1, \"target\": 7}, {\"weight\": 8843, \"source\": 2, \"target\": 6}, {\"weight\": 11602, \"source\": 2, \"target\": 4}, {\"weight\": 10968, \"source\": 2, \"target\": 3}, {\"weight\": 9680, \"source\": 2, \"target\": 5}, {\"weight\": 11778, \"source\": 2, \"target\": 8}, {\"weight\": 11856, \"source\": 2, \"target\": 7}, {\"weight\": 3942, \"source\": 3, \"target\": 6}, {\"weight\": 9164, \"source\": 3, \"target\": 4}, {\"weight\": 2806, \"source\": 3, \"target\": 5}, {\"weight\": 5521, \"source\": 3, \"target\": 8}, {\"weight\": 22659, \"source\": 3, \"target\": 7}, {\"weight\": 9718, \"source\": 4, \"target\": 6}, {\"weight\": 7838, \"source\": 4, \"target\": 5}, {\"weight\": 7899, \"source\": 4, \"target\": 8}, {\"weight\": 14879, \"source\": 4, \"target\": 7}, {\"weight\": 2083, \"source\": 5, \"target\": 6}, {\"weight\": 4322, \"source\": 5, \"target\": 8}, {\"weight\": 21438, \"source\": 5, \"target\": 7}, {\"weight\": 6021, \"source\": 6, \"target\": 8}, {\"weight\": 20229, \"source\": 6, \"target\": 7}, {\"weight\": 21518, \"source\": 7, \"target\": 8}]}",
"id": 1693,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, TRK, PVG, GIB, OKC, TUF, ZTH, IUE, QFX\n- Travel distances (in kilometers) between each pair of airports:\nCAG to PVG: 9560\nCAG to ZTH: 1300\nCAG to OKC: 8865\nCAG to GIB: 3230\nCAG to TUF: 1130\nCAG to TRK: 11616\nCAG to QFX: 5383\nCAG to IUE: 21243\nTRK to PVG: 3281\nTRK to ZTH: 10625\nTRK to OKC: 14648\nTRK to GIB: 13599\nTRK to TUF: 12326\nTRK to QFX: 14445\nTRK to IUE: 10637\nPVG to ZTH: 8843\nPVG to OKC: 11602\nPVG to GIB: 10968\nPVG to TUF: 9680\nPVG to QFX: 11778\nPVG to IUE: 11856\nGIB to ZTH: 3942\nGIB to OKC: 9164\nGIB to TUF: 2806\nGIB to QFX: 5521\nGIB to IUE: 22659\nOKC to ZTH: 9718\nOKC to TUF: 7838\nOKC to QFX: 7899\nOKC to IUE: 14879\nTUF to ZTH: 2083\nTUF to QFX: 4322\nTUF to IUE: 21438\nZTH to QFX: 6021\nZTH to IUE: 20229\nIUE to QFX: 21518\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSF, VAK, KEW, DPO, LUZ, YIF, WLH, ANF, SCL\n- Travel distances (in kilometers) between each pair of airports:\nKSF to ANF: 12007\nKSF to SCL: 12679\nKSF to VAK: 13604\nKSF to LUZ: 3449\nKSF to WLH: 18441\nKSF to YIF: 7142\nKSF to DPO: 17077\nKSF to KEW: 9588\nVAK to ANF: 12621\nVAK to SCL: 13570\nVAK to LUZ: 11959\nVAK to WLH: 11724\nVAK to YIF: 7758\nVAK to DPO: 14616\nVAK to KEW: 5596\nKEW to ANF: 9126\nKEW to SCL: 10135\nKEW to LUZ: 8670\nKEW to WLH: 13107\nKEW to YIF: 3391\nKEW to DPO: 15977\nDPO to ANF: 13561\nDPO to SCL: 12455\nDPO to LUZ: 16622\nDPO to WLH: 3807\nDPO to YIF: 18475\nLUZ to ANF: 12397\nLUZ to SCL: 13069\nLUZ to WLH: 16870\nLUZ to YIF: 6136\nYIF to ANF: 9084\nYIF to SCL: 10037\nYIF to WLH: 15485\nWLH to ANF: 13317\nWLH to SCL: 12211\nANF to SCL: 1106\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59671,
"style": "rule"
}
|
{
"exact_answer": 59671,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KSF\", \"id\": 0}, {\"name\": \"VAK\", \"id\": 1}, {\"name\": \"KEW\", \"id\": 2}, {\"name\": \"DPO\", \"id\": 3}, {\"name\": \"LUZ\", \"id\": 4}, {\"name\": \"YIF\", \"id\": 5}, {\"name\": \"WLH\", \"id\": 6}, {\"name\": \"ANF\", \"id\": 7}, {\"name\": \"SCL\", \"id\": 8}], \"links\": [{\"weight\": 12007, \"source\": 0, \"target\": 7}, {\"weight\": 12679, \"source\": 0, \"target\": 8}, {\"weight\": 13604, \"source\": 0, \"target\": 1}, {\"weight\": 3449, \"source\": 0, \"target\": 4}, {\"weight\": 18441, \"source\": 0, \"target\": 6}, {\"weight\": 7142, \"source\": 0, \"target\": 5}, {\"weight\": 17077, \"source\": 0, \"target\": 3}, {\"weight\": 9588, \"source\": 0, \"target\": 2}, {\"weight\": 12621, \"source\": 1, \"target\": 7}, {\"weight\": 13570, \"source\": 1, \"target\": 8}, {\"weight\": 11959, \"source\": 1, \"target\": 4}, {\"weight\": 11724, \"source\": 1, \"target\": 6}, {\"weight\": 7758, \"source\": 1, \"target\": 5}, {\"weight\": 14616, \"source\": 1, \"target\": 3}, {\"weight\": 5596, \"source\": 1, \"target\": 2}, {\"weight\": 9126, \"source\": 2, \"target\": 7}, {\"weight\": 10135, \"source\": 2, \"target\": 8}, {\"weight\": 8670, \"source\": 2, \"target\": 4}, {\"weight\": 13107, \"source\": 2, \"target\": 6}, {\"weight\": 3391, \"source\": 2, \"target\": 5}, {\"weight\": 15977, \"source\": 2, \"target\": 3}, {\"weight\": 13561, \"source\": 3, \"target\": 7}, {\"weight\": 12455, \"source\": 3, \"target\": 8}, {\"weight\": 16622, \"source\": 3, \"target\": 4}, {\"weight\": 3807, \"source\": 3, \"target\": 6}, {\"weight\": 18475, \"source\": 3, \"target\": 5}, {\"weight\": 12397, \"source\": 4, \"target\": 7}, {\"weight\": 13069, \"source\": 4, \"target\": 8}, {\"weight\": 16870, \"source\": 4, \"target\": 6}, {\"weight\": 6136, \"source\": 4, \"target\": 5}, {\"weight\": 9084, \"source\": 5, \"target\": 7}, {\"weight\": 10037, \"source\": 5, \"target\": 8}, {\"weight\": 15485, \"source\": 5, \"target\": 6}, {\"weight\": 13317, \"source\": 6, \"target\": 7}, {\"weight\": 12211, \"source\": 6, \"target\": 8}, {\"weight\": 1106, \"source\": 7, \"target\": 8}]}",
"id": 1694,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSF, VAK, KEW, DPO, LUZ, YIF, WLH, ANF, SCL\n- Travel distances (in kilometers) between each pair of airports:\nKSF to ANF: 12007\nKSF to SCL: 12679\nKSF to VAK: 13604\nKSF to LUZ: 3449\nKSF to WLH: 18441\nKSF to YIF: 7142\nKSF to DPO: 17077\nKSF to KEW: 9588\nVAK to ANF: 12621\nVAK to SCL: 13570\nVAK to LUZ: 11959\nVAK to WLH: 11724\nVAK to YIF: 7758\nVAK to DPO: 14616\nVAK to KEW: 5596\nKEW to ANF: 9126\nKEW to SCL: 10135\nKEW to LUZ: 8670\nKEW to WLH: 13107\nKEW to YIF: 3391\nKEW to DPO: 15977\nDPO to ANF: 13561\nDPO to SCL: 12455\nDPO to LUZ: 16622\nDPO to WLH: 3807\nDPO to YIF: 18475\nLUZ to ANF: 12397\nLUZ to SCL: 13069\nLUZ to WLH: 16870\nLUZ to YIF: 6136\nYIF to ANF: 9084\nYIF to SCL: 10037\nYIF to WLH: 15485\nWLH to ANF: 13317\nWLH to SCL: 12211\nANF to SCL: 1106\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BME, BPT, GCH, MLB, APL, PMI, NYK, PRI, YUY\n- Travel distances (in kilometers) between each pair of airports:\nBME to YUY: 18520\nBME to PMI: 14381\nBME to BPT: 17126\nBME to MLB: 18579\nBME to GCH: 10854\nBME to NYK: 10968\nBME to PRI: 9160\nBME to APL: 11104\nBPT to YUY: 3359\nBPT to PMI: 8955\nBPT to MLB: 2323\nBPT to GCH: 13182\nBPT to NYK: 15292\nBPT to PRI: 16297\nBPT to APL: 16234\nGCH to YUY: 10847\nGCH to PMI: 4877\nGCH to MLB: 12352\nGCH to NYK: 5246\nGCH to PRI: 5168\nGCH to APL: 6541\nMLB to YUY: 2575\nMLB to PMI: 7967\nMLB to NYK: 14393\nMLB to PRI: 15452\nMLB to APL: 15335\nAPL to YUY: 14063\nAPL to PMI: 8123\nAPL to NYK: 1790\nAPL to PRI: 3694\nPMI to YUY: 6604\nPMI to NYK: 7181\nPMI to PRI: 8468\nNYK to YUY: 13121\nNYK to PRI: 2752\nPRI to YUY: 13950\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53395,
"style": "rule"
}
|
{
"exact_answer": 53395,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BME\", \"id\": 0}, {\"name\": \"BPT\", \"id\": 1}, {\"name\": \"GCH\", \"id\": 2}, {\"name\": \"MLB\", \"id\": 3}, {\"name\": \"APL\", \"id\": 4}, {\"name\": \"PMI\", \"id\": 5}, {\"name\": \"NYK\", \"id\": 6}, {\"name\": \"PRI\", \"id\": 7}, {\"name\": \"YUY\", \"id\": 8}], \"links\": [{\"weight\": 18520, \"source\": 0, \"target\": 8}, {\"weight\": 14381, \"source\": 0, \"target\": 5}, {\"weight\": 17126, \"source\": 0, \"target\": 1}, {\"weight\": 18579, \"source\": 0, \"target\": 3}, {\"weight\": 10854, \"source\": 0, \"target\": 2}, {\"weight\": 10968, \"source\": 0, \"target\": 6}, {\"weight\": 9160, \"source\": 0, \"target\": 7}, {\"weight\": 11104, \"source\": 0, \"target\": 4}, {\"weight\": 3359, \"source\": 1, \"target\": 8}, {\"weight\": 8955, \"source\": 1, \"target\": 5}, {\"weight\": 2323, \"source\": 1, \"target\": 3}, {\"weight\": 13182, \"source\": 1, \"target\": 2}, {\"weight\": 15292, \"source\": 1, \"target\": 6}, {\"weight\": 16297, \"source\": 1, \"target\": 7}, {\"weight\": 16234, \"source\": 1, \"target\": 4}, {\"weight\": 10847, \"source\": 2, \"target\": 8}, {\"weight\": 4877, \"source\": 2, \"target\": 5}, {\"weight\": 12352, \"source\": 2, \"target\": 3}, {\"weight\": 5246, \"source\": 2, \"target\": 6}, {\"weight\": 5168, \"source\": 2, \"target\": 7}, {\"weight\": 6541, \"source\": 2, \"target\": 4}, {\"weight\": 2575, \"source\": 3, \"target\": 8}, {\"weight\": 7967, \"source\": 3, \"target\": 5}, {\"weight\": 14393, \"source\": 3, \"target\": 6}, {\"weight\": 15452, \"source\": 3, \"target\": 7}, {\"weight\": 15335, \"source\": 3, \"target\": 4}, {\"weight\": 14063, \"source\": 4, \"target\": 8}, {\"weight\": 8123, \"source\": 4, \"target\": 5}, {\"weight\": 1790, \"source\": 4, \"target\": 6}, {\"weight\": 3694, \"source\": 4, \"target\": 7}, {\"weight\": 6604, \"source\": 5, \"target\": 8}, {\"weight\": 7181, \"source\": 5, \"target\": 6}, {\"weight\": 8468, \"source\": 5, \"target\": 7}, {\"weight\": 13121, \"source\": 6, \"target\": 8}, {\"weight\": 2752, \"source\": 6, \"target\": 7}, {\"weight\": 13950, \"source\": 7, \"target\": 8}]}",
"id": 1695,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BME, BPT, GCH, MLB, APL, PMI, NYK, PRI, YUY\n- Travel distances (in kilometers) between each pair of airports:\nBME to YUY: 18520\nBME to PMI: 14381\nBME to BPT: 17126\nBME to MLB: 18579\nBME to GCH: 10854\nBME to NYK: 10968\nBME to PRI: 9160\nBME to APL: 11104\nBPT to YUY: 3359\nBPT to PMI: 8955\nBPT to MLB: 2323\nBPT to GCH: 13182\nBPT to NYK: 15292\nBPT to PRI: 16297\nBPT to APL: 16234\nGCH to YUY: 10847\nGCH to PMI: 4877\nGCH to MLB: 12352\nGCH to NYK: 5246\nGCH to PRI: 5168\nGCH to APL: 6541\nMLB to YUY: 2575\nMLB to PMI: 7967\nMLB to NYK: 14393\nMLB to PRI: 15452\nMLB to APL: 15335\nAPL to YUY: 14063\nAPL to PMI: 8123\nAPL to NYK: 1790\nAPL to PRI: 3694\nPMI to YUY: 6604\nPMI to NYK: 7181\nPMI to PRI: 8468\nNYK to YUY: 13121\nNYK to PRI: 2752\nPRI to YUY: 13950\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, TKK, GOJ, SAE, JTR, HSG, HKD, EZE, AWD\n- Travel distances (in kilometers) between each pair of airports:\nVVI to EZE: 1963\nVVI to JTR: 11510\nVVI to HSG: 17954\nVVI to HKD: 17742\nVVI to SAE: 13260\nVVI to GOJ: 12728\nVVI to AWD: 14390\nVVI to TKK: 18269\nTKK to EZE: 17991\nTKK to JTR: 12942\nTKK to HSG: 4718\nTKK to HKD: 4372\nTKK to SAE: 15899\nTKK to GOJ: 10529\nTKK to AWD: 6274\nGOJ to EZE: 13885\nGOJ to JTR: 2802\nGOJ to HSG: 6901\nGOJ to HKD: 7128\nGOJ to SAE: 5832\nGOJ to AWD: 14891\nSAE to EZE: 14741\nSAE to JTR: 6254\nSAE to HSG: 12253\nSAE to HKD: 12500\nSAE to AWD: 18602\nJTR to EZE: 12410\nJTR to HSG: 9288\nJTR to HKD: 9678\nJTR to AWD: 16793\nHSG to EZE: 19593\nHSG to HKD: 1606\nHSG to AWD: 9209\nHKD to EZE: 19381\nHKD to AWD: 8686\nEZE to AWD: 13291\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56723,
"style": "rule"
}
|
{
"exact_answer": 56723,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VVI\", \"id\": 0}, {\"name\": \"TKK\", \"id\": 1}, {\"name\": \"GOJ\", \"id\": 2}, {\"name\": \"SAE\", \"id\": 3}, {\"name\": \"JTR\", \"id\": 4}, {\"name\": \"HSG\", \"id\": 5}, {\"name\": \"HKD\", \"id\": 6}, {\"name\": \"EZE\", \"id\": 7}, {\"name\": \"AWD\", \"id\": 8}], \"links\": [{\"weight\": 1963, \"source\": 0, \"target\": 7}, {\"weight\": 11510, \"source\": 0, \"target\": 4}, {\"weight\": 17954, \"source\": 0, \"target\": 5}, {\"weight\": 17742, \"source\": 0, \"target\": 6}, {\"weight\": 13260, \"source\": 0, \"target\": 3}, {\"weight\": 12728, \"source\": 0, \"target\": 2}, {\"weight\": 14390, \"source\": 0, \"target\": 8}, {\"weight\": 18269, \"source\": 0, \"target\": 1}, {\"weight\": 17991, \"source\": 1, \"target\": 7}, {\"weight\": 12942, \"source\": 1, \"target\": 4}, {\"weight\": 4718, \"source\": 1, \"target\": 5}, {\"weight\": 4372, \"source\": 1, \"target\": 6}, {\"weight\": 15899, \"source\": 1, \"target\": 3}, {\"weight\": 10529, \"source\": 1, \"target\": 2}, {\"weight\": 6274, \"source\": 1, \"target\": 8}, {\"weight\": 13885, \"source\": 2, \"target\": 7}, {\"weight\": 2802, \"source\": 2, \"target\": 4}, {\"weight\": 6901, \"source\": 2, \"target\": 5}, {\"weight\": 7128, \"source\": 2, \"target\": 6}, {\"weight\": 5832, \"source\": 2, \"target\": 3}, {\"weight\": 14891, \"source\": 2, \"target\": 8}, {\"weight\": 14741, \"source\": 3, \"target\": 7}, {\"weight\": 6254, \"source\": 3, \"target\": 4}, {\"weight\": 12253, \"source\": 3, \"target\": 5}, {\"weight\": 12500, \"source\": 3, \"target\": 6}, {\"weight\": 18602, \"source\": 3, \"target\": 8}, {\"weight\": 12410, \"source\": 4, \"target\": 7}, {\"weight\": 9288, \"source\": 4, \"target\": 5}, {\"weight\": 9678, \"source\": 4, \"target\": 6}, {\"weight\": 16793, \"source\": 4, \"target\": 8}, {\"weight\": 19593, \"source\": 5, \"target\": 7}, {\"weight\": 1606, \"source\": 5, \"target\": 6}, {\"weight\": 9209, \"source\": 5, \"target\": 8}, {\"weight\": 19381, \"source\": 6, \"target\": 7}, {\"weight\": 8686, \"source\": 6, \"target\": 8}, {\"weight\": 13291, \"source\": 7, \"target\": 8}]}",
"id": 1696,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, TKK, GOJ, SAE, JTR, HSG, HKD, EZE, AWD\n- Travel distances (in kilometers) between each pair of airports:\nVVI to EZE: 1963\nVVI to JTR: 11510\nVVI to HSG: 17954\nVVI to HKD: 17742\nVVI to SAE: 13260\nVVI to GOJ: 12728\nVVI to AWD: 14390\nVVI to TKK: 18269\nTKK to EZE: 17991\nTKK to JTR: 12942\nTKK to HSG: 4718\nTKK to HKD: 4372\nTKK to SAE: 15899\nTKK to GOJ: 10529\nTKK to AWD: 6274\nGOJ to EZE: 13885\nGOJ to JTR: 2802\nGOJ to HSG: 6901\nGOJ to HKD: 7128\nGOJ to SAE: 5832\nGOJ to AWD: 14891\nSAE to EZE: 14741\nSAE to JTR: 6254\nSAE to HSG: 12253\nSAE to HKD: 12500\nSAE to AWD: 18602\nJTR to EZE: 12410\nJTR to HSG: 9288\nJTR to HKD: 9678\nJTR to AWD: 16793\nHSG to EZE: 19593\nHSG to HKD: 1606\nHSG to AWD: 9209\nHKD to EZE: 19381\nHKD to AWD: 8686\nEZE to AWD: 13291\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIS, LSE, RHI, BCD, ERN, NUE, RAI, OZZ, YKS\n- Travel distances (in kilometers) between each pair of airports:\nPIS to YKS: 7479\nPIS to NUE: 999\nPIS to BCD: 11605\nPIS to LSE: 7246\nPIS to ERN: 10413\nPIS to RAI: 4205\nPIS to OZZ: 2107\nPIS to RHI: 7627\nLSE to YKS: 12732\nLSE to NUE: 7415\nLSE to BCD: 13142\nLSE to ERN: 7349\nLSE to RAI: 7185\nLSE to OZZ: 7497\nLSE to RHI: 496\nRHI to YKS: 12883\nRHI to NUE: 7529\nRHI to BCD: 13256\nRHI to ERN: 7798\nRHI to RAI: 7558\nRHI to OZZ: 7781\nBCD to YKS: 5824\nBCD to NUE: 10733\nBCD to ERN: 20435\nBCD to RAI: 15480\nBCD to OZZ: 13157\nERN to YKS: 16952\nERN to NUE: 10869\nERN to RAI: 6249\nERN to OZZ: 9126\nNUE to YKS: 6532\nNUE to RAI: 4954\nNUE to OZZ: 2636\nRAI to YKS: 11438\nRAI to OZZ: 2877\nOZZ to YKS: 9141\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45689,
"style": "rule"
}
|
{
"exact_answer": 45689,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PIS\", \"id\": 0}, {\"name\": \"LSE\", \"id\": 1}, {\"name\": \"RHI\", \"id\": 2}, {\"name\": \"BCD\", \"id\": 3}, {\"name\": \"ERN\", \"id\": 4}, {\"name\": \"NUE\", \"id\": 5}, {\"name\": \"RAI\", \"id\": 6}, {\"name\": \"OZZ\", \"id\": 7}, {\"name\": \"YKS\", \"id\": 8}], \"links\": [{\"weight\": 7479, \"source\": 0, \"target\": 8}, {\"weight\": 999, \"source\": 0, \"target\": 5}, {\"weight\": 11605, \"source\": 0, \"target\": 3}, {\"weight\": 7246, \"source\": 0, \"target\": 1}, {\"weight\": 10413, \"source\": 0, \"target\": 4}, {\"weight\": 4205, \"source\": 0, \"target\": 6}, {\"weight\": 2107, \"source\": 0, \"target\": 7}, {\"weight\": 7627, \"source\": 0, \"target\": 2}, {\"weight\": 12732, \"source\": 1, \"target\": 8}, {\"weight\": 7415, \"source\": 1, \"target\": 5}, {\"weight\": 13142, \"source\": 1, \"target\": 3}, {\"weight\": 7349, \"source\": 1, \"target\": 4}, {\"weight\": 7185, \"source\": 1, \"target\": 6}, {\"weight\": 7497, \"source\": 1, \"target\": 7}, {\"weight\": 496, \"source\": 1, \"target\": 2}, {\"weight\": 12883, \"source\": 2, \"target\": 8}, {\"weight\": 7529, \"source\": 2, \"target\": 5}, {\"weight\": 13256, \"source\": 2, \"target\": 3}, {\"weight\": 7798, \"source\": 2, \"target\": 4}, {\"weight\": 7558, \"source\": 2, \"target\": 6}, {\"weight\": 7781, \"source\": 2, \"target\": 7}, {\"weight\": 5824, \"source\": 3, \"target\": 8}, {\"weight\": 10733, \"source\": 3, \"target\": 5}, {\"weight\": 20435, \"source\": 3, \"target\": 4}, {\"weight\": 15480, \"source\": 3, \"target\": 6}, {\"weight\": 13157, \"source\": 3, \"target\": 7}, {\"weight\": 16952, \"source\": 4, \"target\": 8}, {\"weight\": 10869, \"source\": 4, \"target\": 5}, {\"weight\": 6249, \"source\": 4, \"target\": 6}, {\"weight\": 9126, \"source\": 4, \"target\": 7}, {\"weight\": 6532, \"source\": 5, \"target\": 8}, {\"weight\": 4954, \"source\": 5, \"target\": 6}, {\"weight\": 2636, \"source\": 5, \"target\": 7}, {\"weight\": 11438, \"source\": 6, \"target\": 8}, {\"weight\": 2877, \"source\": 6, \"target\": 7}, {\"weight\": 9141, \"source\": 7, \"target\": 8}]}",
"id": 1697,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIS, LSE, RHI, BCD, ERN, NUE, RAI, OZZ, YKS\n- Travel distances (in kilometers) between each pair of airports:\nPIS to YKS: 7479\nPIS to NUE: 999\nPIS to BCD: 11605\nPIS to LSE: 7246\nPIS to ERN: 10413\nPIS to RAI: 4205\nPIS to OZZ: 2107\nPIS to RHI: 7627\nLSE to YKS: 12732\nLSE to NUE: 7415\nLSE to BCD: 13142\nLSE to ERN: 7349\nLSE to RAI: 7185\nLSE to OZZ: 7497\nLSE to RHI: 496\nRHI to YKS: 12883\nRHI to NUE: 7529\nRHI to BCD: 13256\nRHI to ERN: 7798\nRHI to RAI: 7558\nRHI to OZZ: 7781\nBCD to YKS: 5824\nBCD to NUE: 10733\nBCD to ERN: 20435\nBCD to RAI: 15480\nBCD to OZZ: 13157\nERN to YKS: 16952\nERN to NUE: 10869\nERN to RAI: 6249\nERN to OZZ: 9126\nNUE to YKS: 6532\nNUE to RAI: 4954\nNUE to OZZ: 2636\nRAI to YKS: 11438\nRAI to OZZ: 2877\nOZZ to YKS: 9141\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EGN, IFN, BSR, BLJ, BOO, RSW, PRG, TOS, BQK\n- Travel distances (in kilometers) between each pair of airports:\nEGN to RSW: 13432\nEGN to PRG: 5370\nEGN to TOS: 7275\nEGN to BQK: 13347\nEGN to BLJ: 5730\nEGN to IFN: 3835\nEGN to BOO: 7171\nEGN to BSR: 4053\nIFN to RSW: 11911\nIFN to PRG: 3750\nIFN to TOS: 5153\nIFN to BQK: 11886\nIFN to BLJ: 4798\nIFN to BOO: 5292\nIFN to BSR: 1550\nBSR to RSW: 11727\nBSR to PRG: 3566\nBSR to TOS: 5383\nBSR to BQK: 11702\nBSR to BLJ: 4430\nBSR to BOO: 5279\nBLJ to RSW: 8504\nBLJ to PRG: 1868\nBLJ to TOS: 3877\nBLJ to BQK: 8364\nBLJ to BOO: 3564\nBOO to TOS: 326\nBOO to RSW: 7971\nBOO to PRG: 1941\nBOO to BQK: 7819\nRSW to PRG: 8184\nRSW to TOS: 8294\nRSW to BQK: 1213\nPRG to TOS: 2203\nPRG to BQK: 8152\nTOS to BQK: 8142\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 34746,
"style": "rule"
}
|
{
"exact_answer": 34746,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EGN\", \"id\": 0}, {\"name\": \"IFN\", \"id\": 1}, {\"name\": \"BSR\", \"id\": 2}, {\"name\": \"BLJ\", \"id\": 3}, {\"name\": \"BOO\", \"id\": 4}, {\"name\": \"RSW\", \"id\": 5}, {\"name\": \"PRG\", \"id\": 6}, {\"name\": \"TOS\", \"id\": 7}, {\"name\": \"BQK\", \"id\": 8}], \"links\": [{\"weight\": 13432, \"source\": 0, \"target\": 5}, {\"weight\": 5370, \"source\": 0, \"target\": 6}, {\"weight\": 7275, \"source\": 0, \"target\": 7}, {\"weight\": 13347, \"source\": 0, \"target\": 8}, {\"weight\": 5730, \"source\": 0, \"target\": 3}, {\"weight\": 3835, \"source\": 0, \"target\": 1}, {\"weight\": 7171, \"source\": 0, \"target\": 4}, {\"weight\": 4053, \"source\": 0, \"target\": 2}, {\"weight\": 11911, \"source\": 1, \"target\": 5}, {\"weight\": 3750, \"source\": 1, \"target\": 6}, {\"weight\": 5153, \"source\": 1, \"target\": 7}, {\"weight\": 11886, \"source\": 1, \"target\": 8}, {\"weight\": 4798, \"source\": 1, \"target\": 3}, {\"weight\": 5292, \"source\": 1, \"target\": 4}, {\"weight\": 1550, \"source\": 1, \"target\": 2}, {\"weight\": 11727, \"source\": 2, \"target\": 5}, {\"weight\": 3566, \"source\": 2, \"target\": 6}, {\"weight\": 5383, \"source\": 2, \"target\": 7}, {\"weight\": 11702, \"source\": 2, \"target\": 8}, {\"weight\": 4430, \"source\": 2, \"target\": 3}, {\"weight\": 5279, \"source\": 2, \"target\": 4}, {\"weight\": 8504, \"source\": 3, \"target\": 5}, {\"weight\": 1868, \"source\": 3, \"target\": 6}, {\"weight\": 3877, \"source\": 3, \"target\": 7}, {\"weight\": 8364, \"source\": 3, \"target\": 8}, {\"weight\": 3564, \"source\": 3, \"target\": 4}, {\"weight\": 326, \"source\": 4, \"target\": 7}, {\"weight\": 7971, \"source\": 4, \"target\": 5}, {\"weight\": 1941, \"source\": 4, \"target\": 6}, {\"weight\": 7819, \"source\": 4, \"target\": 8}, {\"weight\": 8184, \"source\": 5, \"target\": 6}, {\"weight\": 8294, \"source\": 5, \"target\": 7}, {\"weight\": 1213, \"source\": 5, \"target\": 8}, {\"weight\": 2203, \"source\": 6, \"target\": 7}, {\"weight\": 8152, \"source\": 6, \"target\": 8}, {\"weight\": 8142, \"source\": 7, \"target\": 8}]}",
"id": 1698,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EGN, IFN, BSR, BLJ, BOO, RSW, PRG, TOS, BQK\n- Travel distances (in kilometers) between each pair of airports:\nEGN to RSW: 13432\nEGN to PRG: 5370\nEGN to TOS: 7275\nEGN to BQK: 13347\nEGN to BLJ: 5730\nEGN to IFN: 3835\nEGN to BOO: 7171\nEGN to BSR: 4053\nIFN to RSW: 11911\nIFN to PRG: 3750\nIFN to TOS: 5153\nIFN to BQK: 11886\nIFN to BLJ: 4798\nIFN to BOO: 5292\nIFN to BSR: 1550\nBSR to RSW: 11727\nBSR to PRG: 3566\nBSR to TOS: 5383\nBSR to BQK: 11702\nBSR to BLJ: 4430\nBSR to BOO: 5279\nBLJ to RSW: 8504\nBLJ to PRG: 1868\nBLJ to TOS: 3877\nBLJ to BQK: 8364\nBLJ to BOO: 3564\nBOO to TOS: 326\nBOO to RSW: 7971\nBOO to PRG: 1941\nBOO to BQK: 7819\nRSW to PRG: 8184\nRSW to TOS: 8294\nRSW to BQK: 1213\nPRG to TOS: 2203\nPRG to BQK: 8152\nTOS to BQK: 8142\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ANX, ERC, UFA, RAJ, SUR, KIH, MSL, WWP, HIR\n- Travel distances (in kilometers) between each pair of airports:\nANX to MSL: 7989\nANX to UFA: 3288\nANX to RAJ: 7840\nANX to KIH: 5965\nANX to HIR: 15664\nANX to WWP: 9345\nANX to ERC: 4336\nANX to SUR: 8040\nERC to MSL: 10475\nERC to UFA: 3353\nERC to RAJ: 5451\nERC to KIH: 3410\nERC to HIR: 14831\nERC to WWP: 12079\nERC to SUR: 10634\nUFA to MSL: 10049\nUFA to RAJ: 4781\nUFA to KIH: 3524\nUFA to HIR: 12687\nUFA to WWP: 11405\nUFA to SUR: 10100\nRAJ to MSL: 14470\nRAJ to KIH: 2541\nRAJ to HIR: 10680\nRAJ to WWP: 15097\nRAJ to SUR: 14512\nSUR to MSL: 3058\nSUR to KIH: 12602\nSUR to HIR: 14174\nSUR to WWP: 3889\nKIH to MSL: 12439\nKIH to HIR: 12385\nKIH to WWP: 13339\nMSL to HIR: 14426\nMSL to WWP: 5035\nWWP to HIR: 12720\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50928,
"style": "rule"
}
|
{
"exact_answer": 50928,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ANX\", \"id\": 0}, {\"name\": \"ERC\", \"id\": 1}, {\"name\": \"UFA\", \"id\": 2}, {\"name\": \"RAJ\", \"id\": 3}, {\"name\": \"SUR\", \"id\": 4}, {\"name\": \"KIH\", \"id\": 5}, {\"name\": \"MSL\", \"id\": 6}, {\"name\": \"WWP\", \"id\": 7}, {\"name\": \"HIR\", \"id\": 8}], \"links\": [{\"weight\": 7989, \"source\": 0, \"target\": 6}, {\"weight\": 3288, \"source\": 0, \"target\": 2}, {\"weight\": 7840, \"source\": 0, \"target\": 3}, {\"weight\": 5965, \"source\": 0, \"target\": 5}, {\"weight\": 15664, \"source\": 0, \"target\": 8}, {\"weight\": 9345, \"source\": 0, \"target\": 7}, {\"weight\": 4336, \"source\": 0, \"target\": 1}, {\"weight\": 8040, \"source\": 0, \"target\": 4}, {\"weight\": 10475, \"source\": 1, \"target\": 6}, {\"weight\": 3353, \"source\": 1, \"target\": 2}, {\"weight\": 5451, \"source\": 1, \"target\": 3}, {\"weight\": 3410, \"source\": 1, \"target\": 5}, {\"weight\": 14831, \"source\": 1, \"target\": 8}, {\"weight\": 12079, \"source\": 1, \"target\": 7}, {\"weight\": 10634, \"source\": 1, \"target\": 4}, {\"weight\": 10049, \"source\": 2, \"target\": 6}, {\"weight\": 4781, \"source\": 2, \"target\": 3}, {\"weight\": 3524, \"source\": 2, \"target\": 5}, {\"weight\": 12687, \"source\": 2, \"target\": 8}, {\"weight\": 11405, \"source\": 2, \"target\": 7}, {\"weight\": 10100, \"source\": 2, \"target\": 4}, {\"weight\": 14470, \"source\": 3, \"target\": 6}, {\"weight\": 2541, \"source\": 3, \"target\": 5}, {\"weight\": 10680, \"source\": 3, \"target\": 8}, {\"weight\": 15097, \"source\": 3, \"target\": 7}, {\"weight\": 14512, \"source\": 3, \"target\": 4}, {\"weight\": 3058, \"source\": 4, \"target\": 6}, {\"weight\": 12602, \"source\": 4, \"target\": 5}, {\"weight\": 14174, \"source\": 4, \"target\": 8}, {\"weight\": 3889, \"source\": 4, \"target\": 7}, {\"weight\": 12439, \"source\": 5, \"target\": 6}, {\"weight\": 12385, \"source\": 5, \"target\": 8}, {\"weight\": 13339, \"source\": 5, \"target\": 7}, {\"weight\": 14426, \"source\": 6, \"target\": 8}, {\"weight\": 5035, \"source\": 6, \"target\": 7}, {\"weight\": 12720, \"source\": 7, \"target\": 8}]}",
"id": 1699,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ANX, ERC, UFA, RAJ, SUR, KIH, MSL, WWP, HIR\n- Travel distances (in kilometers) between each pair of airports:\nANX to MSL: 7989\nANX to UFA: 3288\nANX to RAJ: 7840\nANX to KIH: 5965\nANX to HIR: 15664\nANX to WWP: 9345\nANX to ERC: 4336\nANX to SUR: 8040\nERC to MSL: 10475\nERC to UFA: 3353\nERC to RAJ: 5451\nERC to KIH: 3410\nERC to HIR: 14831\nERC to WWP: 12079\nERC to SUR: 10634\nUFA to MSL: 10049\nUFA to RAJ: 4781\nUFA to KIH: 3524\nUFA to HIR: 12687\nUFA to WWP: 11405\nUFA to SUR: 10100\nRAJ to MSL: 14470\nRAJ to KIH: 2541\nRAJ to HIR: 10680\nRAJ to WWP: 15097\nRAJ to SUR: 14512\nSUR to MSL: 3058\nSUR to KIH: 12602\nSUR to HIR: 14174\nSUR to WWP: 3889\nKIH to MSL: 12439\nKIH to HIR: 12385\nKIH to WWP: 13339\nMSL to HIR: 14426\nMSL to WWP: 5035\nWWP to HIR: 12720\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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