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: ROP, PET, VHC, EJH, YKA, NAN, BGO, CGY, HAD\n- Travel distances (in kilometers) between each pair of airports:\nROP to HAD: 11067\nROP to CGY: 3439\nROP to BGO: 11326\nROP to YKA: 10233\nROP to NAN: 6155\nROP to PET: 18956\nROP to VHC: 15615\nROP to EJH: 11683\nPET to HAD: 11799\nPET to CGY: 19822\nPET to BGO: 11587\nPET to YKA: 11605\nPET to NAN: 14025\nPET to VHC: 8337\nPET to EJH: 12146\nVHC to HAD: 8583\nVHC to CGY: 13740\nVHC to BGO: 8518\nVHC to YKA: 15019\nVHC to NAN: 17477\nVHC to EJH: 6236\nEJH to HAD: 5568\nEJH to CGY: 9947\nEJH to BGO: 5612\nEJH to YKA: 12682\nEJH to NAN: 16254\nYKA to HAD: 7937\nYKA to CGY: 11260\nYKA to BGO: 7107\nYKA to NAN: 9716\nNAN to HAD: 15991\nNAN to CGY: 6991\nNAN to BGO: 16250\nBGO to HAD: 862\nBGO to CGY: 10819\nCGY to HAD: 10560\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62522,
"style": "rule"
}
|
{
"exact_answer": 62522,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROP\", \"id\": 0}, {\"name\": \"PET\", \"id\": 1}, {\"name\": \"VHC\", \"id\": 2}, {\"name\": \"EJH\", \"id\": 3}, {\"name\": \"YKA\", \"id\": 4}, {\"name\": \"NAN\", \"id\": 5}, {\"name\": \"BGO\", \"id\": 6}, {\"name\": \"CGY\", \"id\": 7}, {\"name\": \"HAD\", \"id\": 8}], \"links\": [{\"weight\": 11067, \"source\": 0, \"target\": 8}, {\"weight\": 3439, \"source\": 0, \"target\": 7}, {\"weight\": 11326, \"source\": 0, \"target\": 6}, {\"weight\": 10233, \"source\": 0, \"target\": 4}, {\"weight\": 6155, \"source\": 0, \"target\": 5}, {\"weight\": 18956, \"source\": 0, \"target\": 1}, {\"weight\": 15615, \"source\": 0, \"target\": 2}, {\"weight\": 11683, \"source\": 0, \"target\": 3}, {\"weight\": 11799, \"source\": 1, \"target\": 8}, {\"weight\": 19822, \"source\": 1, \"target\": 7}, {\"weight\": 11587, \"source\": 1, \"target\": 6}, {\"weight\": 11605, \"source\": 1, \"target\": 4}, {\"weight\": 14025, \"source\": 1, \"target\": 5}, {\"weight\": 8337, \"source\": 1, \"target\": 2}, {\"weight\": 12146, \"source\": 1, \"target\": 3}, {\"weight\": 8583, \"source\": 2, \"target\": 8}, {\"weight\": 13740, \"source\": 2, \"target\": 7}, {\"weight\": 8518, \"source\": 2, \"target\": 6}, {\"weight\": 15019, \"source\": 2, \"target\": 4}, {\"weight\": 17477, \"source\": 2, \"target\": 5}, {\"weight\": 6236, \"source\": 2, \"target\": 3}, {\"weight\": 5568, \"source\": 3, \"target\": 8}, {\"weight\": 9947, \"source\": 3, \"target\": 7}, {\"weight\": 5612, \"source\": 3, \"target\": 6}, {\"weight\": 12682, \"source\": 3, \"target\": 4}, {\"weight\": 16254, \"source\": 3, \"target\": 5}, {\"weight\": 7937, \"source\": 4, \"target\": 8}, {\"weight\": 11260, \"source\": 4, \"target\": 7}, {\"weight\": 7107, \"source\": 4, \"target\": 6}, {\"weight\": 9716, \"source\": 4, \"target\": 5}, {\"weight\": 15991, \"source\": 5, \"target\": 8}, {\"weight\": 6991, \"source\": 5, \"target\": 7}, {\"weight\": 16250, \"source\": 5, \"target\": 6}, {\"weight\": 862, \"source\": 6, \"target\": 8}, {\"weight\": 10819, \"source\": 6, \"target\": 7}, {\"weight\": 10560, \"source\": 7, \"target\": 8}]}",
"id": 2000,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROP, PET, VHC, EJH, YKA, NAN, BGO, CGY, HAD\n- Travel distances (in kilometers) between each pair of airports:\nROP to HAD: 11067\nROP to CGY: 3439\nROP to BGO: 11326\nROP to YKA: 10233\nROP to NAN: 6155\nROP to PET: 18956\nROP to VHC: 15615\nROP to EJH: 11683\nPET to HAD: 11799\nPET to CGY: 19822\nPET to BGO: 11587\nPET to YKA: 11605\nPET to NAN: 14025\nPET to VHC: 8337\nPET to EJH: 12146\nVHC to HAD: 8583\nVHC to CGY: 13740\nVHC to BGO: 8518\nVHC to YKA: 15019\nVHC to NAN: 17477\nVHC to EJH: 6236\nEJH to HAD: 5568\nEJH to CGY: 9947\nEJH to BGO: 5612\nEJH to YKA: 12682\nEJH to NAN: 16254\nYKA to HAD: 7937\nYKA to CGY: 11260\nYKA to BGO: 7107\nYKA to NAN: 9716\nNAN to HAD: 15991\nNAN to CGY: 6991\nNAN to BGO: 16250\nBGO to HAD: 862\nBGO to CGY: 10819\nCGY to HAD: 10560\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBR, HNM, ISU, LED, BLL, QUO, YEV, DIW, CSX\n- Travel distances (in kilometers) between each pair of airports:\nYBR to LED: 8911\nYBR to CSX: 11451\nYBR to YEV: 3388\nYBR to BLL: 8135\nYBR to ISU: 11635\nYBR to HNM: 6019\nYBR to DIW: 15614\nYBR to QUO: 13259\nHNM to LED: 12818\nHNM to CSX: 9010\nHNM to YEV: 7297\nHNM to BLL: 12042\nHNM to ISU: 14510\nHNM to DIW: 13488\nHNM to QUO: 16935\nISU to LED: 3638\nISU to CSX: 6627\nISU to YEV: 12531\nISU to BLL: 3735\nISU to DIW: 5053\nISU to QUO: 5891\nLED to CSX: 7206\nLED to YEV: 9807\nLED to BLL: 1360\nLED to DIW: 7448\nLED to QUO: 6902\nBLL to CSX: 8296\nBLL to YEV: 9031\nBLL to DIW: 8493\nBLL to QUO: 6028\nQUO to CSX: 12125\nQUO to YEV: 13769\nQUO to DIW: 9662\nYEV to CSX: 12715\nYEV to DIW: 16878\nDIW to CSX: 4504\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51060,
"style": "rule"
}
|
{
"exact_answer": 51060,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBR\", \"id\": 0}, {\"name\": \"HNM\", \"id\": 1}, {\"name\": \"ISU\", \"id\": 2}, {\"name\": \"LED\", \"id\": 3}, {\"name\": \"BLL\", \"id\": 4}, {\"name\": \"QUO\", \"id\": 5}, {\"name\": \"YEV\", \"id\": 6}, {\"name\": \"DIW\", \"id\": 7}, {\"name\": \"CSX\", \"id\": 8}], \"links\": [{\"weight\": 8911, \"source\": 0, \"target\": 3}, {\"weight\": 11451, \"source\": 0, \"target\": 8}, {\"weight\": 3388, \"source\": 0, \"target\": 6}, {\"weight\": 8135, \"source\": 0, \"target\": 4}, {\"weight\": 11635, \"source\": 0, \"target\": 2}, {\"weight\": 6019, \"source\": 0, \"target\": 1}, {\"weight\": 15614, \"source\": 0, \"target\": 7}, {\"weight\": 13259, \"source\": 0, \"target\": 5}, {\"weight\": 12818, \"source\": 1, \"target\": 3}, {\"weight\": 9010, \"source\": 1, \"target\": 8}, {\"weight\": 7297, \"source\": 1, \"target\": 6}, {\"weight\": 12042, \"source\": 1, \"target\": 4}, {\"weight\": 14510, \"source\": 1, \"target\": 2}, {\"weight\": 13488, \"source\": 1, \"target\": 7}, {\"weight\": 16935, \"source\": 1, \"target\": 5}, {\"weight\": 3638, \"source\": 2, \"target\": 3}, {\"weight\": 6627, \"source\": 2, \"target\": 8}, {\"weight\": 12531, \"source\": 2, \"target\": 6}, {\"weight\": 3735, \"source\": 2, \"target\": 4}, {\"weight\": 5053, \"source\": 2, \"target\": 7}, {\"weight\": 5891, \"source\": 2, \"target\": 5}, {\"weight\": 7206, \"source\": 3, \"target\": 8}, {\"weight\": 9807, \"source\": 3, \"target\": 6}, {\"weight\": 1360, \"source\": 3, \"target\": 4}, {\"weight\": 7448, \"source\": 3, \"target\": 7}, {\"weight\": 6902, \"source\": 3, \"target\": 5}, {\"weight\": 8296, \"source\": 4, \"target\": 8}, {\"weight\": 9031, \"source\": 4, \"target\": 6}, {\"weight\": 8493, \"source\": 4, \"target\": 7}, {\"weight\": 6028, \"source\": 4, \"target\": 5}, {\"weight\": 12125, \"source\": 5, \"target\": 8}, {\"weight\": 13769, \"source\": 5, \"target\": 6}, {\"weight\": 9662, \"source\": 5, \"target\": 7}, {\"weight\": 12715, \"source\": 6, \"target\": 8}, {\"weight\": 16878, \"source\": 6, \"target\": 7}, {\"weight\": 4504, \"source\": 7, \"target\": 8}]}",
"id": 2001,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBR, HNM, ISU, LED, BLL, QUO, YEV, DIW, CSX\n- Travel distances (in kilometers) between each pair of airports:\nYBR to LED: 8911\nYBR to CSX: 11451\nYBR to YEV: 3388\nYBR to BLL: 8135\nYBR to ISU: 11635\nYBR to HNM: 6019\nYBR to DIW: 15614\nYBR to QUO: 13259\nHNM to LED: 12818\nHNM to CSX: 9010\nHNM to YEV: 7297\nHNM to BLL: 12042\nHNM to ISU: 14510\nHNM to DIW: 13488\nHNM to QUO: 16935\nISU to LED: 3638\nISU to CSX: 6627\nISU to YEV: 12531\nISU to BLL: 3735\nISU to DIW: 5053\nISU to QUO: 5891\nLED to CSX: 7206\nLED to YEV: 9807\nLED to BLL: 1360\nLED to DIW: 7448\nLED to QUO: 6902\nBLL to CSX: 8296\nBLL to YEV: 9031\nBLL to DIW: 8493\nBLL to QUO: 6028\nQUO to CSX: 12125\nQUO to YEV: 13769\nQUO to DIW: 9662\nYEV to CSX: 12715\nYEV to DIW: 16878\nDIW to CSX: 4504\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: POR, KTE, VFA, YBX, PBJ, YNA, BCD, IXJ, AVA\n- Travel distances (in kilometers) between each pair of airports:\nPOR to BCD: 9644\nPOR to IXJ: 5442\nPOR to VFA: 9665\nPOR to AVA: 7327\nPOR to KTE: 9443\nPOR to PBJ: 15686\nPOR to YBX: 6028\nPOR to YNA: 6385\nKTE to BCD: 3137\nKTE to IXJ: 4911\nKTE to VFA: 10178\nKTE to AVA: 3731\nKTE to PBJ: 8359\nKTE to YBX: 15167\nKTE to YNA: 15524\nVFA to BCD: 12125\nVFA to IXJ: 8433\nVFA to AVA: 11079\nVFA to PBJ: 14574\nVFA to YBX: 13414\nVFA to YNA: 13771\nYBX to BCD: 15518\nYBX to IXJ: 11062\nYBX to AVA: 13214\nYBX to PBJ: 15409\nYBX to YNA: 357\nPBJ to BCD: 6330\nPBJ to IXJ: 12140\nPBJ to AVA: 8842\nPBJ to YNA: 15054\nYNA to BCD: 15283\nYNA to IXJ: 11419\nYNA to AVA: 13571\nBCD to IXJ: 5859\nBCD to AVA: 2568\nIXJ to AVA: 3804\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56539,
"style": "rule"
}
|
{
"exact_answer": 56539,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"POR\", \"id\": 0}, {\"name\": \"KTE\", \"id\": 1}, {\"name\": \"VFA\", \"id\": 2}, {\"name\": \"YBX\", \"id\": 3}, {\"name\": \"PBJ\", \"id\": 4}, {\"name\": \"YNA\", \"id\": 5}, {\"name\": \"BCD\", \"id\": 6}, {\"name\": \"IXJ\", \"id\": 7}, {\"name\": \"AVA\", \"id\": 8}], \"links\": [{\"weight\": 9644, \"source\": 0, \"target\": 6}, {\"weight\": 5442, \"source\": 0, \"target\": 7}, {\"weight\": 9665, \"source\": 0, \"target\": 2}, {\"weight\": 7327, \"source\": 0, \"target\": 8}, {\"weight\": 9443, \"source\": 0, \"target\": 1}, {\"weight\": 15686, \"source\": 0, \"target\": 4}, {\"weight\": 6028, \"source\": 0, \"target\": 3}, {\"weight\": 6385, \"source\": 0, \"target\": 5}, {\"weight\": 3137, \"source\": 1, \"target\": 6}, {\"weight\": 4911, \"source\": 1, \"target\": 7}, {\"weight\": 10178, \"source\": 1, \"target\": 2}, {\"weight\": 3731, \"source\": 1, \"target\": 8}, {\"weight\": 8359, \"source\": 1, \"target\": 4}, {\"weight\": 15167, \"source\": 1, \"target\": 3}, {\"weight\": 15524, \"source\": 1, \"target\": 5}, {\"weight\": 12125, \"source\": 2, \"target\": 6}, {\"weight\": 8433, \"source\": 2, \"target\": 7}, {\"weight\": 11079, \"source\": 2, \"target\": 8}, {\"weight\": 14574, \"source\": 2, \"target\": 4}, {\"weight\": 13414, \"source\": 2, \"target\": 3}, {\"weight\": 13771, \"source\": 2, \"target\": 5}, {\"weight\": 15518, \"source\": 3, \"target\": 6}, {\"weight\": 11062, \"source\": 3, \"target\": 7}, {\"weight\": 13214, \"source\": 3, \"target\": 8}, {\"weight\": 15409, \"source\": 3, \"target\": 4}, {\"weight\": 357, \"source\": 3, \"target\": 5}, {\"weight\": 6330, \"source\": 4, \"target\": 6}, {\"weight\": 12140, \"source\": 4, \"target\": 7}, {\"weight\": 8842, \"source\": 4, \"target\": 8}, {\"weight\": 15054, \"source\": 4, \"target\": 5}, {\"weight\": 15283, \"source\": 5, \"target\": 6}, {\"weight\": 11419, \"source\": 5, \"target\": 7}, {\"weight\": 13571, \"source\": 5, \"target\": 8}, {\"weight\": 5859, \"source\": 6, \"target\": 7}, {\"weight\": 2568, \"source\": 6, \"target\": 8}, {\"weight\": 3804, \"source\": 7, \"target\": 8}]}",
"id": 2002,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: POR, KTE, VFA, YBX, PBJ, YNA, BCD, IXJ, AVA\n- Travel distances (in kilometers) between each pair of airports:\nPOR to BCD: 9644\nPOR to IXJ: 5442\nPOR to VFA: 9665\nPOR to AVA: 7327\nPOR to KTE: 9443\nPOR to PBJ: 15686\nPOR to YBX: 6028\nPOR to YNA: 6385\nKTE to BCD: 3137\nKTE to IXJ: 4911\nKTE to VFA: 10178\nKTE to AVA: 3731\nKTE to PBJ: 8359\nKTE to YBX: 15167\nKTE to YNA: 15524\nVFA to BCD: 12125\nVFA to IXJ: 8433\nVFA to AVA: 11079\nVFA to PBJ: 14574\nVFA to YBX: 13414\nVFA to YNA: 13771\nYBX to BCD: 15518\nYBX to IXJ: 11062\nYBX to AVA: 13214\nYBX to PBJ: 15409\nYBX to YNA: 357\nPBJ to BCD: 6330\nPBJ to IXJ: 12140\nPBJ to AVA: 8842\nPBJ to YNA: 15054\nYNA to BCD: 15283\nYNA to IXJ: 11419\nYNA to AVA: 13571\nBCD to IXJ: 5859\nBCD to AVA: 2568\nIXJ to AVA: 3804\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MYU, MLX, BKM, HGR, TIM, QUO, PEZ, CEI, FMN\n- Travel distances (in kilometers) between each pair of airports:\nMYU to PEZ: 12928\nMYU to MLX: 13998\nMYU to CEI: 14634\nMYU to FMN: 5212\nMYU to HGR: 6472\nMYU to TIM: 18270\nMYU to BKM: 15215\nMYU to QUO: 15558\nMLX to PEZ: 3057\nMLX to CEI: 7911\nMLX to FMN: 11169\nMLX to HGR: 9306\nMLX to TIM: 12573\nMLX to BKM: 9886\nMLX to QUO: 5993\nBKM to PEZ: 9710\nBKM to CEI: 2942\nBKM to FMN: 14136\nBKM to HGR: 15161\nBKM to TIM: 3537\nBKM to QUO: 13443\nHGR to PEZ: 8490\nHGR to CEI: 13947\nHGR to FMN: 2884\nHGR to TIM: 18216\nHGR to QUO: 9435\nTIM to PEZ: 12718\nTIM to CEI: 5909\nTIM to FMN: 17191\nTIM to QUO: 15887\nQUO to PEZ: 7373\nQUO to CEI: 11809\nQUO to FMN: 12055\nPEZ to CEI: 7783\nPEZ to FMN: 10099\nCEI to FMN: 13492\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59025,
"style": "rule"
}
|
{
"exact_answer": 59025,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MYU\", \"id\": 0}, {\"name\": \"MLX\", \"id\": 1}, {\"name\": \"BKM\", \"id\": 2}, {\"name\": \"HGR\", \"id\": 3}, {\"name\": \"TIM\", \"id\": 4}, {\"name\": \"QUO\", \"id\": 5}, {\"name\": \"PEZ\", \"id\": 6}, {\"name\": \"CEI\", \"id\": 7}, {\"name\": \"FMN\", \"id\": 8}], \"links\": [{\"weight\": 12928, \"source\": 0, \"target\": 6}, {\"weight\": 13998, \"source\": 0, \"target\": 1}, {\"weight\": 14634, \"source\": 0, \"target\": 7}, {\"weight\": 5212, \"source\": 0, \"target\": 8}, {\"weight\": 6472, \"source\": 0, \"target\": 3}, {\"weight\": 18270, \"source\": 0, \"target\": 4}, {\"weight\": 15215, \"source\": 0, \"target\": 2}, {\"weight\": 15558, \"source\": 0, \"target\": 5}, {\"weight\": 3057, \"source\": 1, \"target\": 6}, {\"weight\": 7911, \"source\": 1, \"target\": 7}, {\"weight\": 11169, \"source\": 1, \"target\": 8}, {\"weight\": 9306, \"source\": 1, \"target\": 3}, {\"weight\": 12573, \"source\": 1, \"target\": 4}, {\"weight\": 9886, \"source\": 1, \"target\": 2}, {\"weight\": 5993, \"source\": 1, \"target\": 5}, {\"weight\": 9710, \"source\": 2, \"target\": 6}, {\"weight\": 2942, \"source\": 2, \"target\": 7}, {\"weight\": 14136, \"source\": 2, \"target\": 8}, {\"weight\": 15161, \"source\": 2, \"target\": 3}, {\"weight\": 3537, \"source\": 2, \"target\": 4}, {\"weight\": 13443, \"source\": 2, \"target\": 5}, {\"weight\": 8490, \"source\": 3, \"target\": 6}, {\"weight\": 13947, \"source\": 3, \"target\": 7}, {\"weight\": 2884, \"source\": 3, \"target\": 8}, {\"weight\": 18216, \"source\": 3, \"target\": 4}, {\"weight\": 9435, \"source\": 3, \"target\": 5}, {\"weight\": 12718, \"source\": 4, \"target\": 6}, {\"weight\": 5909, \"source\": 4, \"target\": 7}, {\"weight\": 17191, \"source\": 4, \"target\": 8}, {\"weight\": 15887, \"source\": 4, \"target\": 5}, {\"weight\": 7373, \"source\": 5, \"target\": 6}, {\"weight\": 11809, \"source\": 5, \"target\": 7}, {\"weight\": 12055, \"source\": 5, \"target\": 8}, {\"weight\": 7783, \"source\": 6, \"target\": 7}, {\"weight\": 10099, \"source\": 6, \"target\": 8}, {\"weight\": 13492, \"source\": 7, \"target\": 8}]}",
"id": 2003,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MYU, MLX, BKM, HGR, TIM, QUO, PEZ, CEI, FMN\n- Travel distances (in kilometers) between each pair of airports:\nMYU to PEZ: 12928\nMYU to MLX: 13998\nMYU to CEI: 14634\nMYU to FMN: 5212\nMYU to HGR: 6472\nMYU to TIM: 18270\nMYU to BKM: 15215\nMYU to QUO: 15558\nMLX to PEZ: 3057\nMLX to CEI: 7911\nMLX to FMN: 11169\nMLX to HGR: 9306\nMLX to TIM: 12573\nMLX to BKM: 9886\nMLX to QUO: 5993\nBKM to PEZ: 9710\nBKM to CEI: 2942\nBKM to FMN: 14136\nBKM to HGR: 15161\nBKM to TIM: 3537\nBKM to QUO: 13443\nHGR to PEZ: 8490\nHGR to CEI: 13947\nHGR to FMN: 2884\nHGR to TIM: 18216\nHGR to QUO: 9435\nTIM to PEZ: 12718\nTIM to CEI: 5909\nTIM to FMN: 17191\nTIM to QUO: 15887\nQUO to PEZ: 7373\nQUO to CEI: 11809\nQUO to FMN: 12055\nPEZ to CEI: 7783\nPEZ to FMN: 10099\nCEI to FMN: 13492\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFS, YHY, TNO, HNS, GET, YQL, RAS, VGO, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nBFS to TNO: 8668\nBFS to YHY: 7291\nBFS to YQL: 6838\nBFS to VGO: 1894\nBFS to RAS: 5263\nBFS to AOQ: 3939\nBFS to HNS: 8906\nBFS to GET: 15348\nYHY to TNO: 6255\nYHY to YQL: 1278\nYHY to VGO: 9020\nYHY to RAS: 12173\nYHY to AOQ: 8184\nYHY to HNS: 3316\nYHY to GET: 17537\nTNO to YQL: 5423\nTNO to VGO: 9149\nTNO to RAS: 13675\nTNO to AOQ: 10138\nTNO to HNS: 7010\nTNO to GET: 19780\nHNS to YQL: 2483\nHNS to VGO: 10635\nHNS to RAS: 13788\nHNS to AOQ: 9799\nHNS to GET: 17029\nGET to YQL: 16690\nGET to VGO: 15452\nGET to RAS: 10867\nGET to AOQ: 18348\nYQL to VGO: 8561\nYQL to RAS: 11757\nYQL to AOQ: 7768\nRAS to VGO: 5377\nRAS to AOQ: 8424\nVGO to AOQ: 5668\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59260,
"style": "rule"
}
|
{
"exact_answer": 59260,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BFS\", \"id\": 0}, {\"name\": \"YHY\", \"id\": 1}, {\"name\": \"TNO\", \"id\": 2}, {\"name\": \"HNS\", \"id\": 3}, {\"name\": \"GET\", \"id\": 4}, {\"name\": \"YQL\", \"id\": 5}, {\"name\": \"RAS\", \"id\": 6}, {\"name\": \"VGO\", \"id\": 7}, {\"name\": \"AOQ\", \"id\": 8}], \"links\": [{\"weight\": 8668, \"source\": 0, \"target\": 2}, {\"weight\": 7291, \"source\": 0, \"target\": 1}, {\"weight\": 6838, \"source\": 0, \"target\": 5}, {\"weight\": 1894, \"source\": 0, \"target\": 7}, {\"weight\": 5263, \"source\": 0, \"target\": 6}, {\"weight\": 3939, \"source\": 0, \"target\": 8}, {\"weight\": 8906, \"source\": 0, \"target\": 3}, {\"weight\": 15348, \"source\": 0, \"target\": 4}, {\"weight\": 6255, \"source\": 1, \"target\": 2}, {\"weight\": 1278, \"source\": 1, \"target\": 5}, {\"weight\": 9020, \"source\": 1, \"target\": 7}, {\"weight\": 12173, \"source\": 1, \"target\": 6}, {\"weight\": 8184, \"source\": 1, \"target\": 8}, {\"weight\": 3316, \"source\": 1, \"target\": 3}, {\"weight\": 17537, \"source\": 1, \"target\": 4}, {\"weight\": 5423, \"source\": 2, \"target\": 5}, {\"weight\": 9149, \"source\": 2, \"target\": 7}, {\"weight\": 13675, \"source\": 2, \"target\": 6}, {\"weight\": 10138, \"source\": 2, \"target\": 8}, {\"weight\": 7010, \"source\": 2, \"target\": 3}, {\"weight\": 19780, \"source\": 2, \"target\": 4}, {\"weight\": 2483, \"source\": 3, \"target\": 5}, {\"weight\": 10635, \"source\": 3, \"target\": 7}, {\"weight\": 13788, \"source\": 3, \"target\": 6}, {\"weight\": 9799, \"source\": 3, \"target\": 8}, {\"weight\": 17029, \"source\": 3, \"target\": 4}, {\"weight\": 16690, \"source\": 4, \"target\": 5}, {\"weight\": 15452, \"source\": 4, \"target\": 7}, {\"weight\": 10867, \"source\": 4, \"target\": 6}, {\"weight\": 18348, \"source\": 4, \"target\": 8}, {\"weight\": 8561, \"source\": 5, \"target\": 7}, {\"weight\": 11757, \"source\": 5, \"target\": 6}, {\"weight\": 7768, \"source\": 5, \"target\": 8}, {\"weight\": 5377, \"source\": 6, \"target\": 7}, {\"weight\": 8424, \"source\": 6, \"target\": 8}, {\"weight\": 5668, \"source\": 7, \"target\": 8}]}",
"id": 2004,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFS, YHY, TNO, HNS, GET, YQL, RAS, VGO, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nBFS to TNO: 8668\nBFS to YHY: 7291\nBFS to YQL: 6838\nBFS to VGO: 1894\nBFS to RAS: 5263\nBFS to AOQ: 3939\nBFS to HNS: 8906\nBFS to GET: 15348\nYHY to TNO: 6255\nYHY to YQL: 1278\nYHY to VGO: 9020\nYHY to RAS: 12173\nYHY to AOQ: 8184\nYHY to HNS: 3316\nYHY to GET: 17537\nTNO to YQL: 5423\nTNO to VGO: 9149\nTNO to RAS: 13675\nTNO to AOQ: 10138\nTNO to HNS: 7010\nTNO to GET: 19780\nHNS to YQL: 2483\nHNS to VGO: 10635\nHNS to RAS: 13788\nHNS to AOQ: 9799\nHNS to GET: 17029\nGET to YQL: 16690\nGET to VGO: 15452\nGET to RAS: 10867\nGET to AOQ: 18348\nYQL to VGO: 8561\nYQL to RAS: 11757\nYQL to AOQ: 7768\nRAS to VGO: 5377\nRAS to AOQ: 8424\nVGO to AOQ: 5668\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NNG, SOG, VRN, HNS, PIA, BZO, TBN, TSF, EBB\n- Travel distances (in kilometers) between each pair of airports:\nNNG to TSF: 8916\nNNG to VRN: 9041\nNNG to TBN: 13263\nNNG to EBB: 8805\nNNG to PIA: 12866\nNNG to BZO: 9572\nNNG to HNS: 12328\nNNG to SOG: 8530\nSOG to TSF: 1837\nSOG to VRN: 1844\nSOG to TBN: 7040\nSOG to EBB: 7257\nSOG to PIA: 6698\nSOG to BZO: 2775\nSOG to HNS: 9013\nVRN to TSF: 1117\nVRN to TBN: 8002\nVRN to EBB: 5820\nVRN to PIA: 7618\nVRN to BZO: 937\nVRN to HNS: 10300\nHNS to TSF: 10344\nHNS to TBN: 4506\nHNS to EBB: 15769\nHNS to PIA: 4365\nHNS to BZO: 11223\nPIA to TSF: 7684\nPIA to TBN: 813\nPIA to EBB: 13048\nPIA to BZO: 8472\nBZO to TSF: 1518\nBZO to TBN: 8848\nBZO to EBB: 6020\nTBN to TSF: 8081\nTBN to EBB: 13438\nTSF to EBB: 5852\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43061,
"style": "rule"
}
|
{
"exact_answer": 43061,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NNG\", \"id\": 0}, {\"name\": \"SOG\", \"id\": 1}, {\"name\": \"VRN\", \"id\": 2}, {\"name\": \"HNS\", \"id\": 3}, {\"name\": \"PIA\", \"id\": 4}, {\"name\": \"BZO\", \"id\": 5}, {\"name\": \"TBN\", \"id\": 6}, {\"name\": \"TSF\", \"id\": 7}, {\"name\": \"EBB\", \"id\": 8}], \"links\": [{\"weight\": 8916, \"source\": 0, \"target\": 7}, {\"weight\": 9041, \"source\": 0, \"target\": 2}, {\"weight\": 13263, \"source\": 0, \"target\": 6}, {\"weight\": 8805, \"source\": 0, \"target\": 8}, {\"weight\": 12866, \"source\": 0, \"target\": 4}, {\"weight\": 9572, \"source\": 0, \"target\": 5}, {\"weight\": 12328, \"source\": 0, \"target\": 3}, {\"weight\": 8530, \"source\": 0, \"target\": 1}, {\"weight\": 1837, \"source\": 1, \"target\": 7}, {\"weight\": 1844, \"source\": 1, \"target\": 2}, {\"weight\": 7040, \"source\": 1, \"target\": 6}, {\"weight\": 7257, \"source\": 1, \"target\": 8}, {\"weight\": 6698, \"source\": 1, \"target\": 4}, {\"weight\": 2775, \"source\": 1, \"target\": 5}, {\"weight\": 9013, \"source\": 1, \"target\": 3}, {\"weight\": 1117, \"source\": 2, \"target\": 7}, {\"weight\": 8002, \"source\": 2, \"target\": 6}, {\"weight\": 5820, \"source\": 2, \"target\": 8}, {\"weight\": 7618, \"source\": 2, \"target\": 4}, {\"weight\": 937, \"source\": 2, \"target\": 5}, {\"weight\": 10300, \"source\": 2, \"target\": 3}, {\"weight\": 10344, \"source\": 3, \"target\": 7}, {\"weight\": 4506, \"source\": 3, \"target\": 6}, {\"weight\": 15769, \"source\": 3, \"target\": 8}, {\"weight\": 4365, \"source\": 3, \"target\": 4}, {\"weight\": 11223, \"source\": 3, \"target\": 5}, {\"weight\": 7684, \"source\": 4, \"target\": 7}, {\"weight\": 813, \"source\": 4, \"target\": 6}, {\"weight\": 13048, \"source\": 4, \"target\": 8}, {\"weight\": 8472, \"source\": 4, \"target\": 5}, {\"weight\": 1518, \"source\": 5, \"target\": 7}, {\"weight\": 8848, \"source\": 5, \"target\": 6}, {\"weight\": 6020, \"source\": 5, \"target\": 8}, {\"weight\": 8081, \"source\": 6, \"target\": 7}, {\"weight\": 13438, \"source\": 6, \"target\": 8}, {\"weight\": 5852, \"source\": 7, \"target\": 8}]}",
"id": 2005,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NNG, SOG, VRN, HNS, PIA, BZO, TBN, TSF, EBB\n- Travel distances (in kilometers) between each pair of airports:\nNNG to TSF: 8916\nNNG to VRN: 9041\nNNG to TBN: 13263\nNNG to EBB: 8805\nNNG to PIA: 12866\nNNG to BZO: 9572\nNNG to HNS: 12328\nNNG to SOG: 8530\nSOG to TSF: 1837\nSOG to VRN: 1844\nSOG to TBN: 7040\nSOG to EBB: 7257\nSOG to PIA: 6698\nSOG to BZO: 2775\nSOG to HNS: 9013\nVRN to TSF: 1117\nVRN to TBN: 8002\nVRN to EBB: 5820\nVRN to PIA: 7618\nVRN to BZO: 937\nVRN to HNS: 10300\nHNS to TSF: 10344\nHNS to TBN: 4506\nHNS to EBB: 15769\nHNS to PIA: 4365\nHNS to BZO: 11223\nPIA to TSF: 7684\nPIA to TBN: 813\nPIA to EBB: 13048\nPIA to BZO: 8472\nBZO to TSF: 1518\nBZO to TBN: 8848\nBZO to EBB: 6020\nTBN to TSF: 8081\nTBN to EBB: 13438\nTSF to EBB: 5852\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJA, OER, ACR, ITB, STD, IJK, AMQ, PVH, EAU\n- Travel distances (in kilometers) between each pair of airports:\nPJA to OER: 1303\nPJA to IJK: 2569\nPJA to ACR: 11292\nPJA to PVH: 11821\nPJA to ITB: 11305\nPJA to AMQ: 12910\nPJA to STD: 10408\nPJA to EAU: 8168\nOER to IJK: 2498\nOER to ACR: 10888\nOER to PVH: 11417\nOER to ITB: 10844\nOER to AMQ: 12795\nOER to STD: 10004\nOER to EAU: 7707\nACR to IJK: 12356\nACR to PVH: 4334\nACR to ITB: 4403\nACR to AMQ: 21335\nACR to STD: 2277\nACR to EAU: 5399\nITB to IJK: 12333\nITB to PVH: 1591\nITB to AMQ: 21680\nITB to STD: 3400\nITB to EAU: 7065\nSTD to IJK: 11631\nSTD to PVH: 3331\nSTD to AMQ: 21123\nSTD to EAU: 5149\nIJK to PVH: 13058\nIJK to AMQ: 10447\nIJK to EAU: 9363\nAMQ to PVH: 21396\nAMQ to EAU: 16943\nPVH to EAU: 6996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54704,
"style": "rule"
}
|
{
"exact_answer": 54704,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PJA\", \"id\": 0}, {\"name\": \"OER\", \"id\": 1}, {\"name\": \"ACR\", \"id\": 2}, {\"name\": \"ITB\", \"id\": 3}, {\"name\": \"STD\", \"id\": 4}, {\"name\": \"IJK\", \"id\": 5}, {\"name\": \"AMQ\", \"id\": 6}, {\"name\": \"PVH\", \"id\": 7}, {\"name\": \"EAU\", \"id\": 8}], \"links\": [{\"weight\": 1303, \"source\": 0, \"target\": 1}, {\"weight\": 2569, \"source\": 0, \"target\": 5}, {\"weight\": 11292, \"source\": 0, \"target\": 2}, {\"weight\": 11821, \"source\": 0, \"target\": 7}, {\"weight\": 11305, \"source\": 0, \"target\": 3}, {\"weight\": 12910, \"source\": 0, \"target\": 6}, {\"weight\": 10408, \"source\": 0, \"target\": 4}, {\"weight\": 8168, \"source\": 0, \"target\": 8}, {\"weight\": 2498, \"source\": 1, \"target\": 5}, {\"weight\": 10888, \"source\": 1, \"target\": 2}, {\"weight\": 11417, \"source\": 1, \"target\": 7}, {\"weight\": 10844, \"source\": 1, \"target\": 3}, {\"weight\": 12795, \"source\": 1, \"target\": 6}, {\"weight\": 10004, \"source\": 1, \"target\": 4}, {\"weight\": 7707, \"source\": 1, \"target\": 8}, {\"weight\": 12356, \"source\": 2, \"target\": 5}, {\"weight\": 4334, \"source\": 2, \"target\": 7}, {\"weight\": 4403, \"source\": 2, \"target\": 3}, {\"weight\": 21335, \"source\": 2, \"target\": 6}, {\"weight\": 2277, \"source\": 2, \"target\": 4}, {\"weight\": 5399, \"source\": 2, \"target\": 8}, {\"weight\": 12333, \"source\": 3, \"target\": 5}, {\"weight\": 1591, \"source\": 3, \"target\": 7}, {\"weight\": 21680, \"source\": 3, \"target\": 6}, {\"weight\": 3400, \"source\": 3, \"target\": 4}, {\"weight\": 7065, \"source\": 3, \"target\": 8}, {\"weight\": 11631, \"source\": 4, \"target\": 5}, {\"weight\": 3331, \"source\": 4, \"target\": 7}, {\"weight\": 21123, \"source\": 4, \"target\": 6}, {\"weight\": 5149, \"source\": 4, \"target\": 8}, {\"weight\": 13058, \"source\": 5, \"target\": 7}, {\"weight\": 10447, \"source\": 5, \"target\": 6}, {\"weight\": 9363, \"source\": 5, \"target\": 8}, {\"weight\": 21396, \"source\": 6, \"target\": 7}, {\"weight\": 16943, \"source\": 6, \"target\": 8}, {\"weight\": 6996, \"source\": 7, \"target\": 8}]}",
"id": 2006,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PJA, OER, ACR, ITB, STD, IJK, AMQ, PVH, EAU\n- Travel distances (in kilometers) between each pair of airports:\nPJA to OER: 1303\nPJA to IJK: 2569\nPJA to ACR: 11292\nPJA to PVH: 11821\nPJA to ITB: 11305\nPJA to AMQ: 12910\nPJA to STD: 10408\nPJA to EAU: 8168\nOER to IJK: 2498\nOER to ACR: 10888\nOER to PVH: 11417\nOER to ITB: 10844\nOER to AMQ: 12795\nOER to STD: 10004\nOER to EAU: 7707\nACR to IJK: 12356\nACR to PVH: 4334\nACR to ITB: 4403\nACR to AMQ: 21335\nACR to STD: 2277\nACR to EAU: 5399\nITB to IJK: 12333\nITB to PVH: 1591\nITB to AMQ: 21680\nITB to STD: 3400\nITB to EAU: 7065\nSTD to IJK: 11631\nSTD to PVH: 3331\nSTD to AMQ: 21123\nSTD to EAU: 5149\nIJK to PVH: 13058\nIJK to AMQ: 10447\nIJK to EAU: 9363\nAMQ to PVH: 21396\nAMQ to EAU: 16943\nPVH to EAU: 6996\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SON, KGF, YCB, CWA, SGY, GCK, PSR, CAW, MAH\n- Travel distances (in kilometers) between each pair of airports:\nSON to YCB: 13372\nSON to CWA: 12874\nSON to GCK: 12761\nSON to MAH: 18160\nSON to CAW: 15349\nSON to PSR: 17832\nSON to KGF: 12892\nSON to SGY: 11860\nKGF to YCB: 12453\nKGF to CWA: 10760\nKGF to GCK: 12408\nKGF to MAH: 5510\nKGF to CAW: 13851\nKGF to PSR: 5215\nKGF to SGY: 13064\nYCB to CWA: 3891\nYCB to GCK: 5141\nYCB to MAH: 9994\nYCB to CAW: 12568\nYCB to PSR: 10134\nYCB to SGY: 4354\nCWA to GCK: 2283\nCWA to MAH: 7584\nCWA to CAW: 9180\nCWA to PSR: 8101\nCWA to SGY: 4112\nSGY to GCK: 4907\nSGY to MAH: 10605\nSGY to CAW: 12909\nSGY to PSR: 10745\nGCK to MAH: 9235\nGCK to CAW: 9394\nGCK to PSR: 9754\nPSR to MAH: 1199\nPSR to CAW: 9565\nCAW to MAH: 8610\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59698,
"style": "rule"
}
|
{
"exact_answer": 59698,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SON\", \"id\": 0}, {\"name\": \"KGF\", \"id\": 1}, {\"name\": \"YCB\", \"id\": 2}, {\"name\": \"CWA\", \"id\": 3}, {\"name\": \"SGY\", \"id\": 4}, {\"name\": \"GCK\", \"id\": 5}, {\"name\": \"PSR\", \"id\": 6}, {\"name\": \"CAW\", \"id\": 7}, {\"name\": \"MAH\", \"id\": 8}], \"links\": [{\"weight\": 13372, \"source\": 0, \"target\": 2}, {\"weight\": 12874, \"source\": 0, \"target\": 3}, {\"weight\": 12761, \"source\": 0, \"target\": 5}, {\"weight\": 18160, \"source\": 0, \"target\": 8}, {\"weight\": 15349, \"source\": 0, \"target\": 7}, {\"weight\": 17832, \"source\": 0, \"target\": 6}, {\"weight\": 12892, \"source\": 0, \"target\": 1}, {\"weight\": 11860, \"source\": 0, \"target\": 4}, {\"weight\": 12453, \"source\": 1, \"target\": 2}, {\"weight\": 10760, \"source\": 1, \"target\": 3}, {\"weight\": 12408, \"source\": 1, \"target\": 5}, {\"weight\": 5510, \"source\": 1, \"target\": 8}, {\"weight\": 13851, \"source\": 1, \"target\": 7}, {\"weight\": 5215, \"source\": 1, \"target\": 6}, {\"weight\": 13064, \"source\": 1, \"target\": 4}, {\"weight\": 3891, \"source\": 2, \"target\": 3}, {\"weight\": 5141, \"source\": 2, \"target\": 5}, {\"weight\": 9994, \"source\": 2, \"target\": 8}, {\"weight\": 12568, \"source\": 2, \"target\": 7}, {\"weight\": 10134, \"source\": 2, \"target\": 6}, {\"weight\": 4354, \"source\": 2, \"target\": 4}, {\"weight\": 2283, \"source\": 3, \"target\": 5}, {\"weight\": 7584, \"source\": 3, \"target\": 8}, {\"weight\": 9180, \"source\": 3, \"target\": 7}, {\"weight\": 8101, \"source\": 3, \"target\": 6}, {\"weight\": 4112, \"source\": 3, \"target\": 4}, {\"weight\": 4907, \"source\": 4, \"target\": 5}, {\"weight\": 10605, \"source\": 4, \"target\": 8}, {\"weight\": 12909, \"source\": 4, \"target\": 7}, {\"weight\": 10745, \"source\": 4, \"target\": 6}, {\"weight\": 9235, \"source\": 5, \"target\": 8}, {\"weight\": 9394, \"source\": 5, \"target\": 7}, {\"weight\": 9754, \"source\": 5, \"target\": 6}, {\"weight\": 1199, \"source\": 6, \"target\": 8}, {\"weight\": 9565, \"source\": 6, \"target\": 7}, {\"weight\": 8610, \"source\": 7, \"target\": 8}]}",
"id": 2007,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SON, KGF, YCB, CWA, SGY, GCK, PSR, CAW, MAH\n- Travel distances (in kilometers) between each pair of airports:\nSON to YCB: 13372\nSON to CWA: 12874\nSON to GCK: 12761\nSON to MAH: 18160\nSON to CAW: 15349\nSON to PSR: 17832\nSON to KGF: 12892\nSON to SGY: 11860\nKGF to YCB: 12453\nKGF to CWA: 10760\nKGF to GCK: 12408\nKGF to MAH: 5510\nKGF to CAW: 13851\nKGF to PSR: 5215\nKGF to SGY: 13064\nYCB to CWA: 3891\nYCB to GCK: 5141\nYCB to MAH: 9994\nYCB to CAW: 12568\nYCB to PSR: 10134\nYCB to SGY: 4354\nCWA to GCK: 2283\nCWA to MAH: 7584\nCWA to CAW: 9180\nCWA to PSR: 8101\nCWA to SGY: 4112\nSGY to GCK: 4907\nSGY to MAH: 10605\nSGY to CAW: 12909\nSGY to PSR: 10745\nGCK to MAH: 9235\nGCK to CAW: 9394\nGCK to PSR: 9754\nPSR to MAH: 1199\nPSR to CAW: 9565\nCAW to MAH: 8610\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, CEN, ELF, YQK, ZSE, DED, YBX, WUZ, RGK\n- Travel distances (in kilometers) between each pair of airports:\nFOE to CEN: 3717\nFOE to DED: 12965\nFOE to ZSE: 17080\nFOE to WUZ: 13601\nFOE to ELF: 13038\nFOE to YQK: 2080\nFOE to YBX: 3359\nFOE to RGK: 12042\nCEN to DED: 15156\nCEN to ZSE: 19214\nCEN to WUZ: 13099\nCEN to ELF: 15119\nCEN to YQK: 3148\nCEN to YBX: 5558\nCEN to RGK: 13904\nELF to DED: 5798\nELF to ZSE: 6099\nELF to WUZ: 9089\nELF to YQK: 12979\nELF to YBX: 10234\nELF to RGK: 8388\nYQK to DED: 13196\nYQK to ZSE: 17011\nYQK to WUZ: 12641\nYQK to YBX: 3264\nYQK to RGK: 11990\nZSE to DED: 6294\nZSE to WUZ: 8343\nZSE to YBX: 14313\nZSE to RGK: 12080\nDED to WUZ: 3717\nDED to YBX: 11213\nDED to RGK: 7630\nYBX to WUZ: 13667\nYBX to RGK: 9934\nWUZ to RGK: 10195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56118,
"style": "rule"
}
|
{
"exact_answer": 56118,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FOE\", \"id\": 0}, {\"name\": \"CEN\", \"id\": 1}, {\"name\": \"ELF\", \"id\": 2}, {\"name\": \"YQK\", \"id\": 3}, {\"name\": \"ZSE\", \"id\": 4}, {\"name\": \"DED\", \"id\": 5}, {\"name\": \"YBX\", \"id\": 6}, {\"name\": \"WUZ\", \"id\": 7}, {\"name\": \"RGK\", \"id\": 8}], \"links\": [{\"weight\": 3717, \"source\": 0, \"target\": 1}, {\"weight\": 12965, \"source\": 0, \"target\": 5}, {\"weight\": 17080, \"source\": 0, \"target\": 4}, {\"weight\": 13601, \"source\": 0, \"target\": 7}, {\"weight\": 13038, \"source\": 0, \"target\": 2}, {\"weight\": 2080, \"source\": 0, \"target\": 3}, {\"weight\": 3359, \"source\": 0, \"target\": 6}, {\"weight\": 12042, \"source\": 0, \"target\": 8}, {\"weight\": 15156, \"source\": 1, \"target\": 5}, {\"weight\": 19214, \"source\": 1, \"target\": 4}, {\"weight\": 13099, \"source\": 1, \"target\": 7}, {\"weight\": 15119, \"source\": 1, \"target\": 2}, {\"weight\": 3148, \"source\": 1, \"target\": 3}, {\"weight\": 5558, \"source\": 1, \"target\": 6}, {\"weight\": 13904, \"source\": 1, \"target\": 8}, {\"weight\": 5798, \"source\": 2, \"target\": 5}, {\"weight\": 6099, \"source\": 2, \"target\": 4}, {\"weight\": 9089, \"source\": 2, \"target\": 7}, {\"weight\": 12979, \"source\": 2, \"target\": 3}, {\"weight\": 10234, \"source\": 2, \"target\": 6}, {\"weight\": 8388, \"source\": 2, \"target\": 8}, {\"weight\": 13196, \"source\": 3, \"target\": 5}, {\"weight\": 17011, \"source\": 3, \"target\": 4}, {\"weight\": 12641, \"source\": 3, \"target\": 7}, {\"weight\": 3264, \"source\": 3, \"target\": 6}, {\"weight\": 11990, \"source\": 3, \"target\": 8}, {\"weight\": 6294, \"source\": 4, \"target\": 5}, {\"weight\": 8343, \"source\": 4, \"target\": 7}, {\"weight\": 14313, \"source\": 4, \"target\": 6}, {\"weight\": 12080, \"source\": 4, \"target\": 8}, {\"weight\": 3717, \"source\": 5, \"target\": 7}, {\"weight\": 11213, \"source\": 5, \"target\": 6}, {\"weight\": 7630, \"source\": 5, \"target\": 8}, {\"weight\": 13667, \"source\": 6, \"target\": 7}, {\"weight\": 9934, \"source\": 6, \"target\": 8}, {\"weight\": 10195, \"source\": 7, \"target\": 8}]}",
"id": 2008,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, CEN, ELF, YQK, ZSE, DED, YBX, WUZ, RGK\n- Travel distances (in kilometers) between each pair of airports:\nFOE to CEN: 3717\nFOE to DED: 12965\nFOE to ZSE: 17080\nFOE to WUZ: 13601\nFOE to ELF: 13038\nFOE to YQK: 2080\nFOE to YBX: 3359\nFOE to RGK: 12042\nCEN to DED: 15156\nCEN to ZSE: 19214\nCEN to WUZ: 13099\nCEN to ELF: 15119\nCEN to YQK: 3148\nCEN to YBX: 5558\nCEN to RGK: 13904\nELF to DED: 5798\nELF to ZSE: 6099\nELF to WUZ: 9089\nELF to YQK: 12979\nELF to YBX: 10234\nELF to RGK: 8388\nYQK to DED: 13196\nYQK to ZSE: 17011\nYQK to WUZ: 12641\nYQK to YBX: 3264\nYQK to RGK: 11990\nZSE to DED: 6294\nZSE to WUZ: 8343\nZSE to YBX: 14313\nZSE to RGK: 12080\nDED to WUZ: 3717\nDED to YBX: 11213\nDED to RGK: 7630\nYBX to WUZ: 13667\nYBX to RGK: 9934\nWUZ to RGK: 10195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUZ, VRN, KRT, BUR, YKQ, BIR, TMS, CMB, HGA\n- Travel distances (in kilometers) between each pair of airports:\nBUZ to VRN: 4278\nBUZ to CMB: 3895\nBUZ to BUR: 13857\nBUZ to KRT: 2755\nBUZ to HGA: 2619\nBUZ to TMS: 7639\nBUZ to YKQ: 11193\nBUZ to BIR: 3829\nVRN to CMB: 7877\nVRN to BUR: 9820\nVRN to KRT: 4093\nVRN to HGA: 5144\nVRN to TMS: 6780\nVRN to YKQ: 7069\nVRN to BIR: 7128\nKRT to CMB: 5624\nKRT to BUR: 13862\nKRT to HGA: 1583\nKRT to TMS: 5458\nKRT to YKQ: 11152\nKRT to BIR: 5816\nBUR to CMB: 15181\nBUR to HGA: 14906\nBUR to TMS: 13321\nBUR to YKQ: 4087\nBUR to BIR: 13443\nYKQ to CMB: 14694\nYKQ to HGA: 12164\nYKQ to TMS: 10356\nYKQ to BIR: 13706\nBIR to CMB: 2903\nBIR to HGA: 5284\nBIR to TMS: 10310\nTMS to CMB: 9112\nTMS to HGA: 5295\nCMB to HGA: 4987\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47301,
"style": "rule"
}
|
{
"exact_answer": 47301,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUZ\", \"id\": 0}, {\"name\": \"VRN\", \"id\": 1}, {\"name\": \"KRT\", \"id\": 2}, {\"name\": \"BUR\", \"id\": 3}, {\"name\": \"YKQ\", \"id\": 4}, {\"name\": \"BIR\", \"id\": 5}, {\"name\": \"TMS\", \"id\": 6}, {\"name\": \"CMB\", \"id\": 7}, {\"name\": \"HGA\", \"id\": 8}], \"links\": [{\"weight\": 4278, \"source\": 0, \"target\": 1}, {\"weight\": 3895, \"source\": 0, \"target\": 7}, {\"weight\": 13857, \"source\": 0, \"target\": 3}, {\"weight\": 2755, \"source\": 0, \"target\": 2}, {\"weight\": 2619, \"source\": 0, \"target\": 8}, {\"weight\": 7639, \"source\": 0, \"target\": 6}, {\"weight\": 11193, \"source\": 0, \"target\": 4}, {\"weight\": 3829, \"source\": 0, \"target\": 5}, {\"weight\": 7877, \"source\": 1, \"target\": 7}, {\"weight\": 9820, \"source\": 1, \"target\": 3}, {\"weight\": 4093, \"source\": 1, \"target\": 2}, {\"weight\": 5144, \"source\": 1, \"target\": 8}, {\"weight\": 6780, \"source\": 1, \"target\": 6}, {\"weight\": 7069, \"source\": 1, \"target\": 4}, {\"weight\": 7128, \"source\": 1, \"target\": 5}, {\"weight\": 5624, \"source\": 2, \"target\": 7}, {\"weight\": 13862, \"source\": 2, \"target\": 3}, {\"weight\": 1583, \"source\": 2, \"target\": 8}, {\"weight\": 5458, \"source\": 2, \"target\": 6}, {\"weight\": 11152, \"source\": 2, \"target\": 4}, {\"weight\": 5816, \"source\": 2, \"target\": 5}, {\"weight\": 15181, \"source\": 3, \"target\": 7}, {\"weight\": 14906, \"source\": 3, \"target\": 8}, {\"weight\": 13321, \"source\": 3, \"target\": 6}, {\"weight\": 4087, \"source\": 3, \"target\": 4}, {\"weight\": 13443, \"source\": 3, \"target\": 5}, {\"weight\": 14694, \"source\": 4, \"target\": 7}, {\"weight\": 12164, \"source\": 4, \"target\": 8}, {\"weight\": 10356, \"source\": 4, \"target\": 6}, {\"weight\": 13706, \"source\": 4, \"target\": 5}, {\"weight\": 2903, \"source\": 5, \"target\": 7}, {\"weight\": 5284, \"source\": 5, \"target\": 8}, {\"weight\": 10310, \"source\": 5, \"target\": 6}, {\"weight\": 9112, \"source\": 6, \"target\": 7}, {\"weight\": 5295, \"source\": 6, \"target\": 8}, {\"weight\": 4987, \"source\": 7, \"target\": 8}]}",
"id": 2009,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUZ, VRN, KRT, BUR, YKQ, BIR, TMS, CMB, HGA\n- Travel distances (in kilometers) between each pair of airports:\nBUZ to VRN: 4278\nBUZ to CMB: 3895\nBUZ to BUR: 13857\nBUZ to KRT: 2755\nBUZ to HGA: 2619\nBUZ to TMS: 7639\nBUZ to YKQ: 11193\nBUZ to BIR: 3829\nVRN to CMB: 7877\nVRN to BUR: 9820\nVRN to KRT: 4093\nVRN to HGA: 5144\nVRN to TMS: 6780\nVRN to YKQ: 7069\nVRN to BIR: 7128\nKRT to CMB: 5624\nKRT to BUR: 13862\nKRT to HGA: 1583\nKRT to TMS: 5458\nKRT to YKQ: 11152\nKRT to BIR: 5816\nBUR to CMB: 15181\nBUR to HGA: 14906\nBUR to TMS: 13321\nBUR to YKQ: 4087\nBUR to BIR: 13443\nYKQ to CMB: 14694\nYKQ to HGA: 12164\nYKQ to TMS: 10356\nYKQ to BIR: 13706\nBIR to CMB: 2903\nBIR to HGA: 5284\nBIR to TMS: 10310\nTMS to CMB: 9112\nTMS to HGA: 5295\nCMB to HGA: 4987\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RNA, ONG, MSA, SVQ, STM, ROR, RDV, CAE, STL\n- Travel distances (in kilometers) between each pair of airports:\nRNA to STL: 13755\nRNA to RDV: 12522\nRNA to CAE: 14631\nRNA to SVQ: 17563\nRNA to STM: 19162\nRNA to ROR: 7152\nRNA to ONG: 3200\nRNA to MSA: 14389\nONG to STL: 16116\nONG to RDV: 14687\nONG to CAE: 16871\nONG to SVQ: 16758\nONG to STM: 19752\nONG to ROR: 5424\nONG to MSA: 16512\nMSA to STL: 2115\nMSA to RDV: 5634\nMSA to CAE: 2639\nMSA to SVQ: 7610\nMSA to STM: 7930\nMSA to ROR: 13108\nSVQ to STL: 7110\nSVQ to RDV: 11755\nSVQ to CAE: 6712\nSVQ to STM: 7551\nSVQ to ROR: 13568\nSTM to STL: 6185\nSTM to RDV: 11557\nSTM to CAE: 5655\nSTM to ROR: 19478\nROR to STL: 13486\nROR to RDV: 12527\nROR to CAE: 14358\nRDV to STL: 5397\nRDV to CAE: 6274\nCAE to STL: 1066\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56735,
"style": "rule"
}
|
{
"exact_answer": 56735,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RNA\", \"id\": 0}, {\"name\": \"ONG\", \"id\": 1}, {\"name\": \"MSA\", \"id\": 2}, {\"name\": \"SVQ\", \"id\": 3}, {\"name\": \"STM\", \"id\": 4}, {\"name\": \"ROR\", \"id\": 5}, {\"name\": \"RDV\", \"id\": 6}, {\"name\": \"CAE\", \"id\": 7}, {\"name\": \"STL\", \"id\": 8}], \"links\": [{\"weight\": 13755, \"source\": 0, \"target\": 8}, {\"weight\": 12522, \"source\": 0, \"target\": 6}, {\"weight\": 14631, \"source\": 0, \"target\": 7}, {\"weight\": 17563, \"source\": 0, \"target\": 3}, {\"weight\": 19162, \"source\": 0, \"target\": 4}, {\"weight\": 7152, \"source\": 0, \"target\": 5}, {\"weight\": 3200, \"source\": 0, \"target\": 1}, {\"weight\": 14389, \"source\": 0, \"target\": 2}, {\"weight\": 16116, \"source\": 1, \"target\": 8}, {\"weight\": 14687, \"source\": 1, \"target\": 6}, {\"weight\": 16871, \"source\": 1, \"target\": 7}, {\"weight\": 16758, \"source\": 1, \"target\": 3}, {\"weight\": 19752, \"source\": 1, \"target\": 4}, {\"weight\": 5424, \"source\": 1, \"target\": 5}, {\"weight\": 16512, \"source\": 1, \"target\": 2}, {\"weight\": 2115, \"source\": 2, \"target\": 8}, {\"weight\": 5634, \"source\": 2, \"target\": 6}, {\"weight\": 2639, \"source\": 2, \"target\": 7}, {\"weight\": 7610, \"source\": 2, \"target\": 3}, {\"weight\": 7930, \"source\": 2, \"target\": 4}, {\"weight\": 13108, \"source\": 2, \"target\": 5}, {\"weight\": 7110, \"source\": 3, \"target\": 8}, {\"weight\": 11755, \"source\": 3, \"target\": 6}, {\"weight\": 6712, \"source\": 3, \"target\": 7}, {\"weight\": 7551, \"source\": 3, \"target\": 4}, {\"weight\": 13568, \"source\": 3, \"target\": 5}, {\"weight\": 6185, \"source\": 4, \"target\": 8}, {\"weight\": 11557, \"source\": 4, \"target\": 6}, {\"weight\": 5655, \"source\": 4, \"target\": 7}, {\"weight\": 19478, \"source\": 4, \"target\": 5}, {\"weight\": 13486, \"source\": 5, \"target\": 8}, {\"weight\": 12527, \"source\": 5, \"target\": 6}, {\"weight\": 14358, \"source\": 5, \"target\": 7}, {\"weight\": 5397, \"source\": 6, \"target\": 8}, {\"weight\": 6274, \"source\": 6, \"target\": 7}, {\"weight\": 1066, \"source\": 7, \"target\": 8}]}",
"id": 2010,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RNA, ONG, MSA, SVQ, STM, ROR, RDV, CAE, STL\n- Travel distances (in kilometers) between each pair of airports:\nRNA to STL: 13755\nRNA to RDV: 12522\nRNA to CAE: 14631\nRNA to SVQ: 17563\nRNA to STM: 19162\nRNA to ROR: 7152\nRNA to ONG: 3200\nRNA to MSA: 14389\nONG to STL: 16116\nONG to RDV: 14687\nONG to CAE: 16871\nONG to SVQ: 16758\nONG to STM: 19752\nONG to ROR: 5424\nONG to MSA: 16512\nMSA to STL: 2115\nMSA to RDV: 5634\nMSA to CAE: 2639\nMSA to SVQ: 7610\nMSA to STM: 7930\nMSA to ROR: 13108\nSVQ to STL: 7110\nSVQ to RDV: 11755\nSVQ to CAE: 6712\nSVQ to STM: 7551\nSVQ to ROR: 13568\nSTM to STL: 6185\nSTM to RDV: 11557\nSTM to CAE: 5655\nSTM to ROR: 19478\nROR to STL: 13486\nROR to RDV: 12527\nROR to CAE: 14358\nRDV to STL: 5397\nRDV to CAE: 6274\nCAE to STL: 1066\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGZ, MME, IMP, MSS, GIU, DAB, TPA, KEP, BGA\n- Travel distances (in kilometers) between each pair of airports:\nTGZ to TPA: 1999\nTGZ to MSS: 3775\nTGZ to DAB: 2826\nTGZ to IMP: 6409\nTGZ to BGA: 3085\nTGZ to MME: 9147\nTGZ to GIU: 17451\nTGZ to KEP: 16251\nMME to TPA: 7505\nMME to MSS: 6086\nMME to DAB: 7437\nMME to IMP: 9064\nMME to BGA: 9465\nMME to GIU: 8936\nMME to KEP: 8019\nIMP to TPA: 5360\nIMP to MSS: 6384\nIMP to DAB: 6447\nIMP to BGA: 4274\nIMP to GIU: 15412\nIMP to KEP: 15363\nMSS to TPA: 2078\nMSS to DAB: 1967\nMSS to BGA: 4736\nMSS to GIU: 14329\nMSS to KEP: 13209\nGIU to TPA: 15748\nGIU to DAB: 15648\nGIU to BGA: 17308\nGIU to KEP: 3111\nDAB to TPA: 1243\nDAB to BGA: 4059\nDAB to KEP: 14461\nTPA to BGA: 2841\nTPA to KEP: 14549\nKEP to BGA: 16620\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45196,
"style": "rule"
}
|
{
"exact_answer": 45196,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGZ\", \"id\": 0}, {\"name\": \"MME\", \"id\": 1}, {\"name\": \"IMP\", \"id\": 2}, {\"name\": \"MSS\", \"id\": 3}, {\"name\": \"GIU\", \"id\": 4}, {\"name\": \"DAB\", \"id\": 5}, {\"name\": \"TPA\", \"id\": 6}, {\"name\": \"KEP\", \"id\": 7}, {\"name\": \"BGA\", \"id\": 8}], \"links\": [{\"weight\": 1999, \"source\": 0, \"target\": 6}, {\"weight\": 3775, \"source\": 0, \"target\": 3}, {\"weight\": 2826, \"source\": 0, \"target\": 5}, {\"weight\": 6409, \"source\": 0, \"target\": 2}, {\"weight\": 3085, \"source\": 0, \"target\": 8}, {\"weight\": 9147, \"source\": 0, \"target\": 1}, {\"weight\": 17451, \"source\": 0, \"target\": 4}, {\"weight\": 16251, \"source\": 0, \"target\": 7}, {\"weight\": 7505, \"source\": 1, \"target\": 6}, {\"weight\": 6086, \"source\": 1, \"target\": 3}, {\"weight\": 7437, \"source\": 1, \"target\": 5}, {\"weight\": 9064, \"source\": 1, \"target\": 2}, {\"weight\": 9465, \"source\": 1, \"target\": 8}, {\"weight\": 8936, \"source\": 1, \"target\": 4}, {\"weight\": 8019, \"source\": 1, \"target\": 7}, {\"weight\": 5360, \"source\": 2, \"target\": 6}, {\"weight\": 6384, \"source\": 2, \"target\": 3}, {\"weight\": 6447, \"source\": 2, \"target\": 5}, {\"weight\": 4274, \"source\": 2, \"target\": 8}, {\"weight\": 15412, \"source\": 2, \"target\": 4}, {\"weight\": 15363, \"source\": 2, \"target\": 7}, {\"weight\": 2078, \"source\": 3, \"target\": 6}, {\"weight\": 1967, \"source\": 3, \"target\": 5}, {\"weight\": 4736, \"source\": 3, \"target\": 8}, {\"weight\": 14329, \"source\": 3, \"target\": 4}, {\"weight\": 13209, \"source\": 3, \"target\": 7}, {\"weight\": 15748, \"source\": 4, \"target\": 6}, {\"weight\": 15648, \"source\": 4, \"target\": 5}, {\"weight\": 17308, \"source\": 4, \"target\": 8}, {\"weight\": 3111, \"source\": 4, \"target\": 7}, {\"weight\": 1243, \"source\": 5, \"target\": 6}, {\"weight\": 4059, \"source\": 5, \"target\": 8}, {\"weight\": 14461, \"source\": 5, \"target\": 7}, {\"weight\": 2841, \"source\": 6, \"target\": 8}, {\"weight\": 14549, \"source\": 6, \"target\": 7}, {\"weight\": 16620, \"source\": 7, \"target\": 8}]}",
"id": 2011,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGZ, MME, IMP, MSS, GIU, DAB, TPA, KEP, BGA\n- Travel distances (in kilometers) between each pair of airports:\nTGZ to TPA: 1999\nTGZ to MSS: 3775\nTGZ to DAB: 2826\nTGZ to IMP: 6409\nTGZ to BGA: 3085\nTGZ to MME: 9147\nTGZ to GIU: 17451\nTGZ to KEP: 16251\nMME to TPA: 7505\nMME to MSS: 6086\nMME to DAB: 7437\nMME to IMP: 9064\nMME to BGA: 9465\nMME to GIU: 8936\nMME to KEP: 8019\nIMP to TPA: 5360\nIMP to MSS: 6384\nIMP to DAB: 6447\nIMP to BGA: 4274\nIMP to GIU: 15412\nIMP to KEP: 15363\nMSS to TPA: 2078\nMSS to DAB: 1967\nMSS to BGA: 4736\nMSS to GIU: 14329\nMSS to KEP: 13209\nGIU to TPA: 15748\nGIU to DAB: 15648\nGIU to BGA: 17308\nGIU to KEP: 3111\nDAB to TPA: 1243\nDAB to BGA: 4059\nDAB to KEP: 14461\nTPA to BGA: 2841\nTPA to KEP: 14549\nKEP to BGA: 16620\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXU, TNO, JST, SFN, ROK, LLI, HHN, CSY, KDI\n- Travel distances (in kilometers) between each pair of airports:\nAXU to LLI: 241\nAXU to TNO: 15067\nAXU to CSY: 6374\nAXU to SFN: 12586\nAXU to ROK: 14137\nAXU to HHN: 6048\nAXU to KDI: 10530\nAXU to JST: 12329\nTNO to CSY: 11550\nTNO to SFN: 6309\nTNO to ROK: 16322\nTNO to LLI: 14827\nTNO to HHN: 9657\nTNO to KDI: 18815\nTNO to JST: 3498\nJST to CSY: 8514\nJST to SFN: 9282\nJST to ROK: 15916\nJST to LLI: 12089\nJST to HHN: 6662\nJST to KDI: 16733\nSFN to CSY: 14466\nSFN to ROK: 13998\nSFN to LLI: 12346\nSFN to HHN: 11793\nSFN to KDI: 18462\nROK to CSY: 14164\nROK to LLI: 13897\nROK to HHN: 15774\nROK to KDI: 5201\nLLI to CSY: 6134\nLLI to HHN: 5808\nLLI to KDI: 10290\nHHN to CSY: 2817\nHHN to KDI: 12641\nCSY to KDI: 11199\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55390,
"style": "rule"
}
|
{
"exact_answer": 55390,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AXU\", \"id\": 0}, {\"name\": \"TNO\", \"id\": 1}, {\"name\": \"JST\", \"id\": 2}, {\"name\": \"SFN\", \"id\": 3}, {\"name\": \"ROK\", \"id\": 4}, {\"name\": \"LLI\", \"id\": 5}, {\"name\": \"HHN\", \"id\": 6}, {\"name\": \"CSY\", \"id\": 7}, {\"name\": \"KDI\", \"id\": 8}], \"links\": [{\"weight\": 241, \"source\": 0, \"target\": 5}, {\"weight\": 15067, \"source\": 0, \"target\": 1}, {\"weight\": 6374, \"source\": 0, \"target\": 7}, {\"weight\": 12586, \"source\": 0, \"target\": 3}, {\"weight\": 14137, \"source\": 0, \"target\": 4}, {\"weight\": 6048, \"source\": 0, \"target\": 6}, {\"weight\": 10530, \"source\": 0, \"target\": 8}, {\"weight\": 12329, \"source\": 0, \"target\": 2}, {\"weight\": 11550, \"source\": 1, \"target\": 7}, {\"weight\": 6309, \"source\": 1, \"target\": 3}, {\"weight\": 16322, \"source\": 1, \"target\": 4}, {\"weight\": 14827, \"source\": 1, \"target\": 5}, {\"weight\": 9657, \"source\": 1, \"target\": 6}, {\"weight\": 18815, \"source\": 1, \"target\": 8}, {\"weight\": 3498, \"source\": 1, \"target\": 2}, {\"weight\": 8514, \"source\": 2, \"target\": 7}, {\"weight\": 9282, \"source\": 2, \"target\": 3}, {\"weight\": 15916, \"source\": 2, \"target\": 4}, {\"weight\": 12089, \"source\": 2, \"target\": 5}, {\"weight\": 6662, \"source\": 2, \"target\": 6}, {\"weight\": 16733, \"source\": 2, \"target\": 8}, {\"weight\": 14466, \"source\": 3, \"target\": 7}, {\"weight\": 13998, \"source\": 3, \"target\": 4}, {\"weight\": 12346, \"source\": 3, \"target\": 5}, {\"weight\": 11793, \"source\": 3, \"target\": 6}, {\"weight\": 18462, \"source\": 3, \"target\": 8}, {\"weight\": 14164, \"source\": 4, \"target\": 7}, {\"weight\": 13897, \"source\": 4, \"target\": 5}, {\"weight\": 15774, \"source\": 4, \"target\": 6}, {\"weight\": 5201, \"source\": 4, \"target\": 8}, {\"weight\": 6134, \"source\": 5, \"target\": 7}, {\"weight\": 5808, \"source\": 5, \"target\": 6}, {\"weight\": 10290, \"source\": 5, \"target\": 8}, {\"weight\": 2817, \"source\": 6, \"target\": 7}, {\"weight\": 12641, \"source\": 6, \"target\": 8}, {\"weight\": 11199, \"source\": 7, \"target\": 8}]}",
"id": 2012,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AXU, TNO, JST, SFN, ROK, LLI, HHN, CSY, KDI\n- Travel distances (in kilometers) between each pair of airports:\nAXU to LLI: 241\nAXU to TNO: 15067\nAXU to CSY: 6374\nAXU to SFN: 12586\nAXU to ROK: 14137\nAXU to HHN: 6048\nAXU to KDI: 10530\nAXU to JST: 12329\nTNO to CSY: 11550\nTNO to SFN: 6309\nTNO to ROK: 16322\nTNO to LLI: 14827\nTNO to HHN: 9657\nTNO to KDI: 18815\nTNO to JST: 3498\nJST to CSY: 8514\nJST to SFN: 9282\nJST to ROK: 15916\nJST to LLI: 12089\nJST to HHN: 6662\nJST to KDI: 16733\nSFN to CSY: 14466\nSFN to ROK: 13998\nSFN to LLI: 12346\nSFN to HHN: 11793\nSFN to KDI: 18462\nROK to CSY: 14164\nROK to LLI: 13897\nROK to HHN: 15774\nROK to KDI: 5201\nLLI to CSY: 6134\nLLI to HHN: 5808\nLLI to KDI: 10290\nHHN to CSY: 2817\nHHN to KDI: 12641\nCSY to KDI: 11199\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: APF, MUA, CGH, PZI, RFP, BOS, AKY, SGN, KOS\n- Travel distances (in kilometers) between each pair of airports:\nAPF to SGN: 16039\nAPF to PZI: 14694\nAPF to AKY: 16382\nAPF to BOS: 2181\nAPF to CGH: 6832\nAPF to MUA: 15227\nAPF to KOS: 16174\nAPF to RFP: 10742\nMUA to SGN: 7274\nMUA to PZI: 8487\nMUA to AKY: 8953\nMUA to BOS: 15504\nMUA to CGH: 16318\nMUA to KOS: 7840\nMUA to RFP: 6988\nCGH to SGN: 17252\nCGH to PZI: 17548\nCGH to AKY: 17031\nCGH to BOS: 7994\nCGH to KOS: 17184\nCGH to RFP: 11034\nPZI to SGN: 2711\nPZI to AKY: 2753\nPZI to BOS: 13327\nPZI to KOS: 2734\nPZI to RFP: 13475\nRFP to SGN: 13189\nRFP to AKY: 14666\nRFP to BOS: 11019\nRFP to KOS: 13928\nBOS to SGN: 14672\nBOS to AKY: 14375\nBOS to KOS: 14807\nAKY to SGN: 1818\nAKY to KOS: 1745\nSGN to KOS: 739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52873,
"style": "rule"
}
|
{
"exact_answer": 52873,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"APF\", \"id\": 0}, {\"name\": \"MUA\", \"id\": 1}, {\"name\": \"CGH\", \"id\": 2}, {\"name\": \"PZI\", \"id\": 3}, {\"name\": \"RFP\", \"id\": 4}, {\"name\": \"BOS\", \"id\": 5}, {\"name\": \"AKY\", \"id\": 6}, {\"name\": \"SGN\", \"id\": 7}, {\"name\": \"KOS\", \"id\": 8}], \"links\": [{\"weight\": 16039, \"source\": 0, \"target\": 7}, {\"weight\": 14694, \"source\": 0, \"target\": 3}, {\"weight\": 16382, \"source\": 0, \"target\": 6}, {\"weight\": 2181, \"source\": 0, \"target\": 5}, {\"weight\": 6832, \"source\": 0, \"target\": 2}, {\"weight\": 15227, \"source\": 0, \"target\": 1}, {\"weight\": 16174, \"source\": 0, \"target\": 8}, {\"weight\": 10742, \"source\": 0, \"target\": 4}, {\"weight\": 7274, \"source\": 1, \"target\": 7}, {\"weight\": 8487, \"source\": 1, \"target\": 3}, {\"weight\": 8953, \"source\": 1, \"target\": 6}, {\"weight\": 15504, \"source\": 1, \"target\": 5}, {\"weight\": 16318, \"source\": 1, \"target\": 2}, {\"weight\": 7840, \"source\": 1, \"target\": 8}, {\"weight\": 6988, \"source\": 1, \"target\": 4}, {\"weight\": 17252, \"source\": 2, \"target\": 7}, {\"weight\": 17548, \"source\": 2, \"target\": 3}, {\"weight\": 17031, \"source\": 2, \"target\": 6}, {\"weight\": 7994, \"source\": 2, \"target\": 5}, {\"weight\": 17184, \"source\": 2, \"target\": 8}, {\"weight\": 11034, \"source\": 2, \"target\": 4}, {\"weight\": 2711, \"source\": 3, \"target\": 7}, {\"weight\": 2753, \"source\": 3, \"target\": 6}, {\"weight\": 13327, \"source\": 3, \"target\": 5}, {\"weight\": 2734, \"source\": 3, \"target\": 8}, {\"weight\": 13475, \"source\": 3, \"target\": 4}, {\"weight\": 13189, \"source\": 4, \"target\": 7}, {\"weight\": 14666, \"source\": 4, \"target\": 6}, {\"weight\": 11019, \"source\": 4, \"target\": 5}, {\"weight\": 13928, \"source\": 4, \"target\": 8}, {\"weight\": 14672, \"source\": 5, \"target\": 7}, {\"weight\": 14375, \"source\": 5, \"target\": 6}, {\"weight\": 14807, \"source\": 5, \"target\": 8}, {\"weight\": 1818, \"source\": 6, \"target\": 7}, {\"weight\": 1745, \"source\": 6, \"target\": 8}, {\"weight\": 739, \"source\": 7, \"target\": 8}]}",
"id": 2013,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: APF, MUA, CGH, PZI, RFP, BOS, AKY, SGN, KOS\n- Travel distances (in kilometers) between each pair of airports:\nAPF to SGN: 16039\nAPF to PZI: 14694\nAPF to AKY: 16382\nAPF to BOS: 2181\nAPF to CGH: 6832\nAPF to MUA: 15227\nAPF to KOS: 16174\nAPF to RFP: 10742\nMUA to SGN: 7274\nMUA to PZI: 8487\nMUA to AKY: 8953\nMUA to BOS: 15504\nMUA to CGH: 16318\nMUA to KOS: 7840\nMUA to RFP: 6988\nCGH to SGN: 17252\nCGH to PZI: 17548\nCGH to AKY: 17031\nCGH to BOS: 7994\nCGH to KOS: 17184\nCGH to RFP: 11034\nPZI to SGN: 2711\nPZI to AKY: 2753\nPZI to BOS: 13327\nPZI to KOS: 2734\nPZI to RFP: 13475\nRFP to SGN: 13189\nRFP to AKY: 14666\nRFP to BOS: 11019\nRFP to KOS: 13928\nBOS to SGN: 14672\nBOS to AKY: 14375\nBOS to KOS: 14807\nAKY to SGN: 1818\nAKY to KOS: 1745\nSGN to KOS: 739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASJ, TGC, CCV, HTI, KDH, SFB, CHS, NCE, LKB\n- Travel distances (in kilometers) between each pair of airports:\nASJ to NCE: 10974\nASJ to CHS: 12649\nASJ to KDH: 7487\nASJ to SFB: 12983\nASJ to LKB: 9992\nASJ to HTI: 7731\nASJ to TGC: 5696\nASJ to CCV: 9020\nTGC to NCE: 11262\nTGC to CHS: 16315\nTGC to KDH: 6098\nTGC to SFB: 16687\nTGC to LKB: 8883\nTGC to HTI: 5528\nTGC to CCV: 7948\nCCV to NCE: 17495\nCCV to CHS: 13562\nCCV to KDH: 12787\nCCV to SFB: 13632\nCCV to LKB: 1529\nCCV to HTI: 2945\nHTI to NCE: 15659\nHTI to CHS: 15837\nHTI to KDH: 10814\nHTI to SFB: 15971\nHTI to LKB: 3997\nKDH to NCE: 5283\nKDH to CHS: 12414\nKDH to SFB: 12869\nKDH to LKB: 13493\nSFB to NCE: 7907\nSFB to CHS: 1077\nSFB to LKB: 12901\nCHS to NCE: 7430\nCHS to LKB: 12831\nNCE to LKB: 17646\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49876,
"style": "rule"
}
|
{
"exact_answer": 49876,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ASJ\", \"id\": 0}, {\"name\": \"TGC\", \"id\": 1}, {\"name\": \"CCV\", \"id\": 2}, {\"name\": \"HTI\", \"id\": 3}, {\"name\": \"KDH\", \"id\": 4}, {\"name\": \"SFB\", \"id\": 5}, {\"name\": \"CHS\", \"id\": 6}, {\"name\": \"NCE\", \"id\": 7}, {\"name\": \"LKB\", \"id\": 8}], \"links\": [{\"weight\": 10974, \"source\": 0, \"target\": 7}, {\"weight\": 12649, \"source\": 0, \"target\": 6}, {\"weight\": 7487, \"source\": 0, \"target\": 4}, {\"weight\": 12983, \"source\": 0, \"target\": 5}, {\"weight\": 9992, \"source\": 0, \"target\": 8}, {\"weight\": 7731, \"source\": 0, \"target\": 3}, {\"weight\": 5696, \"source\": 0, \"target\": 1}, {\"weight\": 9020, \"source\": 0, \"target\": 2}, {\"weight\": 11262, \"source\": 1, \"target\": 7}, {\"weight\": 16315, \"source\": 1, \"target\": 6}, {\"weight\": 6098, \"source\": 1, \"target\": 4}, {\"weight\": 16687, \"source\": 1, \"target\": 5}, {\"weight\": 8883, \"source\": 1, \"target\": 8}, {\"weight\": 5528, \"source\": 1, \"target\": 3}, {\"weight\": 7948, \"source\": 1, \"target\": 2}, {\"weight\": 17495, \"source\": 2, \"target\": 7}, {\"weight\": 13562, \"source\": 2, \"target\": 6}, {\"weight\": 12787, \"source\": 2, \"target\": 4}, {\"weight\": 13632, \"source\": 2, \"target\": 5}, {\"weight\": 1529, \"source\": 2, \"target\": 8}, {\"weight\": 2945, \"source\": 2, \"target\": 3}, {\"weight\": 15659, \"source\": 3, \"target\": 7}, {\"weight\": 15837, \"source\": 3, \"target\": 6}, {\"weight\": 10814, \"source\": 3, \"target\": 4}, {\"weight\": 15971, \"source\": 3, \"target\": 5}, {\"weight\": 3997, \"source\": 3, \"target\": 8}, {\"weight\": 5283, \"source\": 4, \"target\": 7}, {\"weight\": 12414, \"source\": 4, \"target\": 6}, {\"weight\": 12869, \"source\": 4, \"target\": 5}, {\"weight\": 13493, \"source\": 4, \"target\": 8}, {\"weight\": 7907, \"source\": 5, \"target\": 7}, {\"weight\": 1077, \"source\": 5, \"target\": 6}, {\"weight\": 12901, \"source\": 5, \"target\": 8}, {\"weight\": 7430, \"source\": 6, \"target\": 7}, {\"weight\": 12831, \"source\": 6, \"target\": 8}, {\"weight\": 17646, \"source\": 7, \"target\": 8}]}",
"id": 2014,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASJ, TGC, CCV, HTI, KDH, SFB, CHS, NCE, LKB\n- Travel distances (in kilometers) between each pair of airports:\nASJ to NCE: 10974\nASJ to CHS: 12649\nASJ to KDH: 7487\nASJ to SFB: 12983\nASJ to LKB: 9992\nASJ to HTI: 7731\nASJ to TGC: 5696\nASJ to CCV: 9020\nTGC to NCE: 11262\nTGC to CHS: 16315\nTGC to KDH: 6098\nTGC to SFB: 16687\nTGC to LKB: 8883\nTGC to HTI: 5528\nTGC to CCV: 7948\nCCV to NCE: 17495\nCCV to CHS: 13562\nCCV to KDH: 12787\nCCV to SFB: 13632\nCCV to LKB: 1529\nCCV to HTI: 2945\nHTI to NCE: 15659\nHTI to CHS: 15837\nHTI to KDH: 10814\nHTI to SFB: 15971\nHTI to LKB: 3997\nKDH to NCE: 5283\nKDH to CHS: 12414\nKDH to SFB: 12869\nKDH to LKB: 13493\nSFB to NCE: 7907\nSFB to CHS: 1077\nSFB to LKB: 12901\nCHS to NCE: 7430\nCHS to LKB: 12831\nNCE to LKB: 17646\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZCL, AHB, OTP, MBL, OSL, SKN, GRI, NOV, FAY\n- Travel distances (in kilometers) between each pair of airports:\nZCL to OSL: 9120\nZCL to OTP: 10904\nZCL to FAY: 2933\nZCL to GRI: 2146\nZCL to NOV: 13785\nZCL to AHB: 14139\nZCL to MBL: 2819\nZCL to SKN: 9572\nAHB to OSL: 5303\nAHB to OTP: 3307\nAHB to FAY: 11554\nAHB to GRI: 13801\nAHB to NOV: 5253\nAHB to MBL: 11977\nAHB to SKN: 6196\nOTP to OSL: 2004\nOTP to FAY: 8429\nOTP to GRI: 10566\nOTP to NOV: 6728\nOTP to MBL: 8774\nOTP to SKN: 2916\nMBL to OSL: 6961\nMBL to FAY: 1431\nMBL to GRI: 2495\nMBL to NOV: 12594\nMBL to SKN: 7413\nOSL to FAY: 6709\nOSL to GRI: 8782\nOSL to NOV: 8219\nOSL to SKN: 949\nSKN to FAY: 7183\nSKN to GRI: 9234\nSKN to NOV: 9168\nGRI to FAY: 2595\nGRI to NOV: 14325\nNOV to FAY: 12011\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 38497,
"style": "rule"
}
|
{
"exact_answer": 38497,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZCL\", \"id\": 0}, {\"name\": \"AHB\", \"id\": 1}, {\"name\": \"OTP\", \"id\": 2}, {\"name\": \"MBL\", \"id\": 3}, {\"name\": \"OSL\", \"id\": 4}, {\"name\": \"SKN\", \"id\": 5}, {\"name\": \"GRI\", \"id\": 6}, {\"name\": \"NOV\", \"id\": 7}, {\"name\": \"FAY\", \"id\": 8}], \"links\": [{\"weight\": 9120, \"source\": 0, \"target\": 4}, {\"weight\": 10904, \"source\": 0, \"target\": 2}, {\"weight\": 2933, \"source\": 0, \"target\": 8}, {\"weight\": 2146, \"source\": 0, \"target\": 6}, {\"weight\": 13785, \"source\": 0, \"target\": 7}, {\"weight\": 14139, \"source\": 0, \"target\": 1}, {\"weight\": 2819, \"source\": 0, \"target\": 3}, {\"weight\": 9572, \"source\": 0, \"target\": 5}, {\"weight\": 5303, \"source\": 1, \"target\": 4}, {\"weight\": 3307, \"source\": 1, \"target\": 2}, {\"weight\": 11554, \"source\": 1, \"target\": 8}, {\"weight\": 13801, \"source\": 1, \"target\": 6}, {\"weight\": 5253, \"source\": 1, \"target\": 7}, {\"weight\": 11977, \"source\": 1, \"target\": 3}, {\"weight\": 6196, \"source\": 1, \"target\": 5}, {\"weight\": 2004, \"source\": 2, \"target\": 4}, {\"weight\": 8429, \"source\": 2, \"target\": 8}, {\"weight\": 10566, \"source\": 2, \"target\": 6}, {\"weight\": 6728, \"source\": 2, \"target\": 7}, {\"weight\": 8774, \"source\": 2, \"target\": 3}, {\"weight\": 2916, \"source\": 2, \"target\": 5}, {\"weight\": 6961, \"source\": 3, \"target\": 4}, {\"weight\": 1431, \"source\": 3, \"target\": 8}, {\"weight\": 2495, \"source\": 3, \"target\": 6}, {\"weight\": 12594, \"source\": 3, \"target\": 7}, {\"weight\": 7413, \"source\": 3, \"target\": 5}, {\"weight\": 6709, \"source\": 4, \"target\": 8}, {\"weight\": 8782, \"source\": 4, \"target\": 6}, {\"weight\": 8219, \"source\": 4, \"target\": 7}, {\"weight\": 949, \"source\": 4, \"target\": 5}, {\"weight\": 7183, \"source\": 5, \"target\": 8}, {\"weight\": 9234, \"source\": 5, \"target\": 6}, {\"weight\": 9168, \"source\": 5, \"target\": 7}, {\"weight\": 2595, \"source\": 6, \"target\": 8}, {\"weight\": 14325, \"source\": 6, \"target\": 7}, {\"weight\": 12011, \"source\": 7, \"target\": 8}]}",
"id": 2015,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZCL, AHB, OTP, MBL, OSL, SKN, GRI, NOV, FAY\n- Travel distances (in kilometers) between each pair of airports:\nZCL to OSL: 9120\nZCL to OTP: 10904\nZCL to FAY: 2933\nZCL to GRI: 2146\nZCL to NOV: 13785\nZCL to AHB: 14139\nZCL to MBL: 2819\nZCL to SKN: 9572\nAHB to OSL: 5303\nAHB to OTP: 3307\nAHB to FAY: 11554\nAHB to GRI: 13801\nAHB to NOV: 5253\nAHB to MBL: 11977\nAHB to SKN: 6196\nOTP to OSL: 2004\nOTP to FAY: 8429\nOTP to GRI: 10566\nOTP to NOV: 6728\nOTP to MBL: 8774\nOTP to SKN: 2916\nMBL to OSL: 6961\nMBL to FAY: 1431\nMBL to GRI: 2495\nMBL to NOV: 12594\nMBL to SKN: 7413\nOSL to FAY: 6709\nOSL to GRI: 8782\nOSL to NOV: 8219\nOSL to SKN: 949\nSKN to FAY: 7183\nSKN to GRI: 9234\nSKN to NOV: 9168\nGRI to FAY: 2595\nGRI to NOV: 14325\nNOV to FAY: 12011\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUF, IZA, QUV, GXF, ERL, OSL, WUZ, LBD, MMO\n- Travel distances (in kilometers) between each pair of airports:\nBUF to OSL: 6288\nBUF to LBD: 10728\nBUF to IZA: 8156\nBUF to GXF: 11759\nBUF to WUZ: 13335\nBUF to QUV: 6560\nBUF to ERL: 11584\nBUF to MMO: 6121\nIZA to OSL: 10431\nIZA to LBD: 14076\nIZA to GXF: 11667\nIZA to WUZ: 18153\nIZA to QUV: 13000\nIZA to ERL: 17595\nIZA to MMO: 4780\nQUV to OSL: 3832\nQUV to LBD: 8272\nQUV to GXF: 9743\nQUV to WUZ: 12135\nQUV to ERL: 11355\nQUV to MMO: 8331\nGXF to OSL: 6010\nGXF to LBD: 6177\nGXF to WUZ: 6899\nGXF to ERL: 7180\nGXF to MMO: 7916\nERL to OSL: 7623\nERL to LBD: 3852\nERL to WUZ: 2534\nERL to MMO: 12938\nOSL to LBD: 4540\nOSL to WUZ: 8403\nOSL to MMO: 5794\nWUZ to LBD: 4679\nWUZ to MMO: 13765\nLBD to MMO: 9370\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49069,
"style": "rule"
}
|
{
"exact_answer": 49069,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUF\", \"id\": 0}, {\"name\": \"IZA\", \"id\": 1}, {\"name\": \"QUV\", \"id\": 2}, {\"name\": \"GXF\", \"id\": 3}, {\"name\": \"ERL\", \"id\": 4}, {\"name\": \"OSL\", \"id\": 5}, {\"name\": \"WUZ\", \"id\": 6}, {\"name\": \"LBD\", \"id\": 7}, {\"name\": \"MMO\", \"id\": 8}], \"links\": [{\"weight\": 6288, \"source\": 0, \"target\": 5}, {\"weight\": 10728, \"source\": 0, \"target\": 7}, {\"weight\": 8156, \"source\": 0, \"target\": 1}, {\"weight\": 11759, \"source\": 0, \"target\": 3}, {\"weight\": 13335, \"source\": 0, \"target\": 6}, {\"weight\": 6560, \"source\": 0, \"target\": 2}, {\"weight\": 11584, \"source\": 0, \"target\": 4}, {\"weight\": 6121, \"source\": 0, \"target\": 8}, {\"weight\": 10431, \"source\": 1, \"target\": 5}, {\"weight\": 14076, \"source\": 1, \"target\": 7}, {\"weight\": 11667, \"source\": 1, \"target\": 3}, {\"weight\": 18153, \"source\": 1, \"target\": 6}, {\"weight\": 13000, \"source\": 1, \"target\": 2}, {\"weight\": 17595, \"source\": 1, \"target\": 4}, {\"weight\": 4780, \"source\": 1, \"target\": 8}, {\"weight\": 3832, \"source\": 2, \"target\": 5}, {\"weight\": 8272, \"source\": 2, \"target\": 7}, {\"weight\": 9743, \"source\": 2, \"target\": 3}, {\"weight\": 12135, \"source\": 2, \"target\": 6}, {\"weight\": 11355, \"source\": 2, \"target\": 4}, {\"weight\": 8331, \"source\": 2, \"target\": 8}, {\"weight\": 6010, \"source\": 3, \"target\": 5}, {\"weight\": 6177, \"source\": 3, \"target\": 7}, {\"weight\": 6899, \"source\": 3, \"target\": 6}, {\"weight\": 7180, \"source\": 3, \"target\": 4}, {\"weight\": 7916, \"source\": 3, \"target\": 8}, {\"weight\": 7623, \"source\": 4, \"target\": 5}, {\"weight\": 3852, \"source\": 4, \"target\": 7}, {\"weight\": 2534, \"source\": 4, \"target\": 6}, {\"weight\": 12938, \"source\": 4, \"target\": 8}, {\"weight\": 4540, \"source\": 5, \"target\": 7}, {\"weight\": 8403, \"source\": 5, \"target\": 6}, {\"weight\": 5794, \"source\": 5, \"target\": 8}, {\"weight\": 4679, \"source\": 6, \"target\": 7}, {\"weight\": 13765, \"source\": 6, \"target\": 8}, {\"weight\": 9370, \"source\": 7, \"target\": 8}]}",
"id": 2016,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BUF, IZA, QUV, GXF, ERL, OSL, WUZ, LBD, MMO\n- Travel distances (in kilometers) between each pair of airports:\nBUF to OSL: 6288\nBUF to LBD: 10728\nBUF to IZA: 8156\nBUF to GXF: 11759\nBUF to WUZ: 13335\nBUF to QUV: 6560\nBUF to ERL: 11584\nBUF to MMO: 6121\nIZA to OSL: 10431\nIZA to LBD: 14076\nIZA to GXF: 11667\nIZA to WUZ: 18153\nIZA to QUV: 13000\nIZA to ERL: 17595\nIZA to MMO: 4780\nQUV to OSL: 3832\nQUV to LBD: 8272\nQUV to GXF: 9743\nQUV to WUZ: 12135\nQUV to ERL: 11355\nQUV to MMO: 8331\nGXF to OSL: 6010\nGXF to LBD: 6177\nGXF to WUZ: 6899\nGXF to ERL: 7180\nGXF to MMO: 7916\nERL to OSL: 7623\nERL to LBD: 3852\nERL to WUZ: 2534\nERL to MMO: 12938\nOSL to LBD: 4540\nOSL to WUZ: 8403\nOSL to MMO: 5794\nWUZ to LBD: 4679\nWUZ to MMO: 13765\nLBD to MMO: 9370\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, BES, VHM, GOP, AWZ, NUE, NOU, TRO, HAC\n- Travel distances (in kilometers) between each pair of airports:\nLGI to VHM: 8900\nLGI to NUE: 8135\nLGI to GOP: 14495\nLGI to BES: 7921\nLGI to AWZ: 12114\nLGI to NOU: 14526\nLGI to HAC: 12939\nLGI to TRO: 16475\nBES to VHM: 2452\nBES to NUE: 1134\nBES to GOP: 7736\nBES to AWZ: 5053\nBES to NOU: 17095\nBES to HAC: 10492\nBES to TRO: 17723\nVHM to NUE: 1764\nVHM to GOP: 6790\nVHM to AWZ: 4842\nVHM to NOU: 15755\nVHM to HAC: 9262\nVHM to TRO: 16412\nGOP to NUE: 6633\nGOP to AWZ: 3666\nGOP to NOU: 12313\nGOP to HAC: 6787\nGOP to TRO: 11350\nAWZ to NUE: 3984\nAWZ to NOU: 14364\nAWZ to HAC: 8449\nAWZ to TRO: 13238\nNUE to NOU: 16297\nNUE to HAC: 9766\nNUE to TRO: 16656\nNOU to HAC: 7780\nNOU to TRO: 2240\nTRO to HAC: 8670\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51550,
"style": "rule"
}
|
{
"exact_answer": 51550,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LGI\", \"id\": 0}, {\"name\": \"BES\", \"id\": 1}, {\"name\": \"VHM\", \"id\": 2}, {\"name\": \"GOP\", \"id\": 3}, {\"name\": \"AWZ\", \"id\": 4}, {\"name\": \"NUE\", \"id\": 5}, {\"name\": \"NOU\", \"id\": 6}, {\"name\": \"TRO\", \"id\": 7}, {\"name\": \"HAC\", \"id\": 8}], \"links\": [{\"weight\": 8900, \"source\": 0, \"target\": 2}, {\"weight\": 8135, \"source\": 0, \"target\": 5}, {\"weight\": 14495, \"source\": 0, \"target\": 3}, {\"weight\": 7921, \"source\": 0, \"target\": 1}, {\"weight\": 12114, \"source\": 0, \"target\": 4}, {\"weight\": 14526, \"source\": 0, \"target\": 6}, {\"weight\": 12939, \"source\": 0, \"target\": 8}, {\"weight\": 16475, \"source\": 0, \"target\": 7}, {\"weight\": 2452, \"source\": 1, \"target\": 2}, {\"weight\": 1134, \"source\": 1, \"target\": 5}, {\"weight\": 7736, \"source\": 1, \"target\": 3}, {\"weight\": 5053, \"source\": 1, \"target\": 4}, {\"weight\": 17095, \"source\": 1, \"target\": 6}, {\"weight\": 10492, \"source\": 1, \"target\": 8}, {\"weight\": 17723, \"source\": 1, \"target\": 7}, {\"weight\": 1764, \"source\": 2, \"target\": 5}, {\"weight\": 6790, \"source\": 2, \"target\": 3}, {\"weight\": 4842, \"source\": 2, \"target\": 4}, {\"weight\": 15755, \"source\": 2, \"target\": 6}, {\"weight\": 9262, \"source\": 2, \"target\": 8}, {\"weight\": 16412, \"source\": 2, \"target\": 7}, {\"weight\": 6633, \"source\": 3, \"target\": 5}, {\"weight\": 3666, \"source\": 3, \"target\": 4}, {\"weight\": 12313, \"source\": 3, \"target\": 6}, {\"weight\": 6787, \"source\": 3, \"target\": 8}, {\"weight\": 11350, \"source\": 3, \"target\": 7}, {\"weight\": 3984, \"source\": 4, \"target\": 5}, {\"weight\": 14364, \"source\": 4, \"target\": 6}, {\"weight\": 8449, \"source\": 4, \"target\": 8}, {\"weight\": 13238, \"source\": 4, \"target\": 7}, {\"weight\": 16297, \"source\": 5, \"target\": 6}, {\"weight\": 9766, \"source\": 5, \"target\": 8}, {\"weight\": 16656, \"source\": 5, \"target\": 7}, {\"weight\": 7780, \"source\": 6, \"target\": 8}, {\"weight\": 2240, \"source\": 6, \"target\": 7}, {\"weight\": 8670, \"source\": 7, \"target\": 8}]}",
"id": 2017,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, BES, VHM, GOP, AWZ, NUE, NOU, TRO, HAC\n- Travel distances (in kilometers) between each pair of airports:\nLGI to VHM: 8900\nLGI to NUE: 8135\nLGI to GOP: 14495\nLGI to BES: 7921\nLGI to AWZ: 12114\nLGI to NOU: 14526\nLGI to HAC: 12939\nLGI to TRO: 16475\nBES to VHM: 2452\nBES to NUE: 1134\nBES to GOP: 7736\nBES to AWZ: 5053\nBES to NOU: 17095\nBES to HAC: 10492\nBES to TRO: 17723\nVHM to NUE: 1764\nVHM to GOP: 6790\nVHM to AWZ: 4842\nVHM to NOU: 15755\nVHM to HAC: 9262\nVHM to TRO: 16412\nGOP to NUE: 6633\nGOP to AWZ: 3666\nGOP to NOU: 12313\nGOP to HAC: 6787\nGOP to TRO: 11350\nAWZ to NUE: 3984\nAWZ to NOU: 14364\nAWZ to HAC: 8449\nAWZ to TRO: 13238\nNUE to NOU: 16297\nNUE to HAC: 9766\nNUE to TRO: 16656\nNOU to HAC: 7780\nNOU to TRO: 2240\nTRO to HAC: 8670\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUC, TUO, JIB, MSO, YMO, CXH, INL, BDU, VAO\n- Travel distances (in kilometers) between each pair of airports:\nCUC to JIB: 13989\nCUC to MSO: 6098\nCUC to INL: 5405\nCUC to BDU: 11001\nCUC to VAO: 16844\nCUC to CXH: 6869\nCUC to TUO: 14526\nCUC to YMO: 5470\nTUO to JIB: 15911\nTUO to MSO: 12169\nTUO to INL: 13585\nTUO to BDU: 18695\nTUO to VAO: 3993\nTUO to CXH: 11853\nTUO to YMO: 14689\nJIB to MSO: 13990\nJIB to INL: 12774\nJIB to BDU: 7063\nJIB to VAO: 14027\nJIB to CXH: 13746\nJIB to YMO: 12043\nMSO to INL: 2034\nMSO to BDU: 9258\nMSO to VAO: 12307\nMSO to CXH: 858\nMSO to YMO: 3580\nYMO to INL: 2364\nYMO to BDU: 7861\nYMO to VAO: 15158\nYMO to CXH: 3644\nCXH to INL: 2887\nCXH to BDU: 8870\nCXH to VAO: 11991\nINL to BDU: 8491\nINL to VAO: 14110\nBDU to VAO: 16337\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58564,
"style": "rule"
}
|
{
"exact_answer": 58564,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CUC\", \"id\": 0}, {\"name\": \"TUO\", \"id\": 1}, {\"name\": \"JIB\", \"id\": 2}, {\"name\": \"MSO\", \"id\": 3}, {\"name\": \"YMO\", \"id\": 4}, {\"name\": \"CXH\", \"id\": 5}, {\"name\": \"INL\", \"id\": 6}, {\"name\": \"BDU\", \"id\": 7}, {\"name\": \"VAO\", \"id\": 8}], \"links\": [{\"weight\": 13989, \"source\": 0, \"target\": 2}, {\"weight\": 6098, \"source\": 0, \"target\": 3}, {\"weight\": 5405, \"source\": 0, \"target\": 6}, {\"weight\": 11001, \"source\": 0, \"target\": 7}, {\"weight\": 16844, \"source\": 0, \"target\": 8}, {\"weight\": 6869, \"source\": 0, \"target\": 5}, {\"weight\": 14526, \"source\": 0, \"target\": 1}, {\"weight\": 5470, \"source\": 0, \"target\": 4}, {\"weight\": 15911, \"source\": 1, \"target\": 2}, {\"weight\": 12169, \"source\": 1, \"target\": 3}, {\"weight\": 13585, \"source\": 1, \"target\": 6}, {\"weight\": 18695, \"source\": 1, \"target\": 7}, {\"weight\": 3993, \"source\": 1, \"target\": 8}, {\"weight\": 11853, \"source\": 1, \"target\": 5}, {\"weight\": 14689, \"source\": 1, \"target\": 4}, {\"weight\": 13990, \"source\": 2, \"target\": 3}, {\"weight\": 12774, \"source\": 2, \"target\": 6}, {\"weight\": 7063, \"source\": 2, \"target\": 7}, {\"weight\": 14027, \"source\": 2, \"target\": 8}, {\"weight\": 13746, \"source\": 2, \"target\": 5}, {\"weight\": 12043, \"source\": 2, \"target\": 4}, {\"weight\": 2034, \"source\": 3, \"target\": 6}, {\"weight\": 9258, \"source\": 3, \"target\": 7}, {\"weight\": 12307, \"source\": 3, \"target\": 8}, {\"weight\": 858, \"source\": 3, \"target\": 5}, {\"weight\": 3580, \"source\": 3, \"target\": 4}, {\"weight\": 2364, \"source\": 4, \"target\": 6}, {\"weight\": 7861, \"source\": 4, \"target\": 7}, {\"weight\": 15158, \"source\": 4, \"target\": 8}, {\"weight\": 3644, \"source\": 4, \"target\": 5}, {\"weight\": 2887, \"source\": 5, \"target\": 6}, {\"weight\": 8870, \"source\": 5, \"target\": 7}, {\"weight\": 11991, \"source\": 5, \"target\": 8}, {\"weight\": 8491, \"source\": 6, \"target\": 7}, {\"weight\": 14110, \"source\": 6, \"target\": 8}, {\"weight\": 16337, \"source\": 7, \"target\": 8}]}",
"id": 2018,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUC, TUO, JIB, MSO, YMO, CXH, INL, BDU, VAO\n- Travel distances (in kilometers) between each pair of airports:\nCUC to JIB: 13989\nCUC to MSO: 6098\nCUC to INL: 5405\nCUC to BDU: 11001\nCUC to VAO: 16844\nCUC to CXH: 6869\nCUC to TUO: 14526\nCUC to YMO: 5470\nTUO to JIB: 15911\nTUO to MSO: 12169\nTUO to INL: 13585\nTUO to BDU: 18695\nTUO to VAO: 3993\nTUO to CXH: 11853\nTUO to YMO: 14689\nJIB to MSO: 13990\nJIB to INL: 12774\nJIB to BDU: 7063\nJIB to VAO: 14027\nJIB to CXH: 13746\nJIB to YMO: 12043\nMSO to INL: 2034\nMSO to BDU: 9258\nMSO to VAO: 12307\nMSO to CXH: 858\nMSO to YMO: 3580\nYMO to INL: 2364\nYMO to BDU: 7861\nYMO to VAO: 15158\nYMO to CXH: 3644\nCXH to INL: 2887\nCXH to BDU: 8870\nCXH to VAO: 11991\nINL to BDU: 8491\nINL to VAO: 14110\nBDU to VAO: 16337\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KAT, LNZ, CTS, WAW, SUX, AGR, JFK, PIU, YVM\n- Travel distances (in kilometers) between each pair of airports:\nKAT to JFK: 14714\nKAT to WAW: 17623\nKAT to YVM: 16221\nKAT to CTS: 9876\nKAT to SUX: 14240\nKAT to LNZ: 18312\nKAT to AGR: 12616\nKAT to PIU: 13217\nLNZ to JFK: 6642\nLNZ to WAW: 725\nLNZ to YVM: 7773\nLNZ to CTS: 8944\nLNZ to SUX: 8118\nLNZ to AGR: 6913\nLNZ to PIU: 12027\nCTS to JFK: 11617\nCTS to WAW: 8255\nCTS to YVM: 12773\nCTS to SUX: 11559\nCTS to AGR: 6176\nCTS to PIU: 17110\nWAW to JFK: 6847\nWAW to YVM: 8134\nWAW to SUX: 8217\nWAW to AGR: 6528\nWAW to PIU: 12467\nSUX to JFK: 1886\nSUX to YVM: 4316\nSUX to AGR: 13910\nSUX to PIU: 7660\nAGR to JFK: 12944\nAGR to YVM: 14586\nAGR to PIU: 18827\nJFK to YVM: 3084\nJFK to PIU: 6715\nPIU to YVM: 9798\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56925,
"style": "rule"
}
|
{
"exact_answer": 56925,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KAT\", \"id\": 0}, {\"name\": \"LNZ\", \"id\": 1}, {\"name\": \"CTS\", \"id\": 2}, {\"name\": \"WAW\", \"id\": 3}, {\"name\": \"SUX\", \"id\": 4}, {\"name\": \"AGR\", \"id\": 5}, {\"name\": \"JFK\", \"id\": 6}, {\"name\": \"PIU\", \"id\": 7}, {\"name\": \"YVM\", \"id\": 8}], \"links\": [{\"weight\": 14714, \"source\": 0, \"target\": 6}, {\"weight\": 17623, \"source\": 0, \"target\": 3}, {\"weight\": 16221, \"source\": 0, \"target\": 8}, {\"weight\": 9876, \"source\": 0, \"target\": 2}, {\"weight\": 14240, \"source\": 0, \"target\": 4}, {\"weight\": 18312, \"source\": 0, \"target\": 1}, {\"weight\": 12616, \"source\": 0, \"target\": 5}, {\"weight\": 13217, \"source\": 0, \"target\": 7}, {\"weight\": 6642, \"source\": 1, \"target\": 6}, {\"weight\": 725, \"source\": 1, \"target\": 3}, {\"weight\": 7773, \"source\": 1, \"target\": 8}, {\"weight\": 8944, \"source\": 1, \"target\": 2}, {\"weight\": 8118, \"source\": 1, \"target\": 4}, {\"weight\": 6913, \"source\": 1, \"target\": 5}, {\"weight\": 12027, \"source\": 1, \"target\": 7}, {\"weight\": 11617, \"source\": 2, \"target\": 6}, {\"weight\": 8255, \"source\": 2, \"target\": 3}, {\"weight\": 12773, \"source\": 2, \"target\": 8}, {\"weight\": 11559, \"source\": 2, \"target\": 4}, {\"weight\": 6176, \"source\": 2, \"target\": 5}, {\"weight\": 17110, \"source\": 2, \"target\": 7}, {\"weight\": 6847, \"source\": 3, \"target\": 6}, {\"weight\": 8134, \"source\": 3, \"target\": 8}, {\"weight\": 8217, \"source\": 3, \"target\": 4}, {\"weight\": 6528, \"source\": 3, \"target\": 5}, {\"weight\": 12467, \"source\": 3, \"target\": 7}, {\"weight\": 1886, \"source\": 4, \"target\": 6}, {\"weight\": 4316, \"source\": 4, \"target\": 8}, {\"weight\": 13910, \"source\": 4, \"target\": 5}, {\"weight\": 7660, \"source\": 4, \"target\": 7}, {\"weight\": 12944, \"source\": 5, \"target\": 6}, {\"weight\": 14586, \"source\": 5, \"target\": 8}, {\"weight\": 18827, \"source\": 5, \"target\": 7}, {\"weight\": 3084, \"source\": 6, \"target\": 8}, {\"weight\": 6715, \"source\": 6, \"target\": 7}, {\"weight\": 9798, \"source\": 7, \"target\": 8}]}",
"id": 2019,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KAT, LNZ, CTS, WAW, SUX, AGR, JFK, PIU, YVM\n- Travel distances (in kilometers) between each pair of airports:\nKAT to JFK: 14714\nKAT to WAW: 17623\nKAT to YVM: 16221\nKAT to CTS: 9876\nKAT to SUX: 14240\nKAT to LNZ: 18312\nKAT to AGR: 12616\nKAT to PIU: 13217\nLNZ to JFK: 6642\nLNZ to WAW: 725\nLNZ to YVM: 7773\nLNZ to CTS: 8944\nLNZ to SUX: 8118\nLNZ to AGR: 6913\nLNZ to PIU: 12027\nCTS to JFK: 11617\nCTS to WAW: 8255\nCTS to YVM: 12773\nCTS to SUX: 11559\nCTS to AGR: 6176\nCTS to PIU: 17110\nWAW to JFK: 6847\nWAW to YVM: 8134\nWAW to SUX: 8217\nWAW to AGR: 6528\nWAW to PIU: 12467\nSUX to JFK: 1886\nSUX to YVM: 4316\nSUX to AGR: 13910\nSUX to PIU: 7660\nAGR to JFK: 12944\nAGR to YVM: 14586\nAGR to PIU: 18827\nJFK to YVM: 3084\nJFK to PIU: 6715\nPIU to YVM: 9798\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRO, YFS, RCH, KRY, BIS, WNZ, JUB, OUZ, PMR\n- Travel distances (in kilometers) between each pair of airports:\nFRO to WNZ: 8840\nFRO to JUB: 6826\nFRO to YFS: 7933\nFRO to RCH: 10254\nFRO to KRY: 5972\nFRO to BIS: 7509\nFRO to OUZ: 4551\nFRO to PMR: 18164\nYFS to WNZ: 11576\nYFS to JUB: 14412\nYFS to RCH: 8673\nYFS to KRY: 13390\nYFS to BIS: 3742\nYFS to OUZ: 10559\nYFS to PMR: 13924\nRCH to WNZ: 16836\nRCH to JUB: 14517\nRCH to KRY: 15684\nRCH to BIS: 6168\nRCH to OUZ: 8831\nRCH to PMR: 15047\nKRY to WNZ: 3742\nKRY to JUB: 7287\nKRY to BIS: 13180\nKRY to OUZ: 9521\nKRY to PMR: 13231\nBIS to WNZ: 12007\nBIS to JUB: 13396\nBIS to OUZ: 9056\nBIS to PMR: 12925\nWNZ to JUB: 9721\nWNZ to OUZ: 12705\nWNZ to PMR: 9718\nJUB to OUZ: 6990\nJUB to PMR: 15310\nOUZ to PMR: 19328\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64789,
"style": "rule"
}
|
{
"exact_answer": 64789,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FRO\", \"id\": 0}, {\"name\": \"YFS\", \"id\": 1}, {\"name\": \"RCH\", \"id\": 2}, {\"name\": \"KRY\", \"id\": 3}, {\"name\": \"BIS\", \"id\": 4}, {\"name\": \"WNZ\", \"id\": 5}, {\"name\": \"JUB\", \"id\": 6}, {\"name\": \"OUZ\", \"id\": 7}, {\"name\": \"PMR\", \"id\": 8}], \"links\": [{\"weight\": 8840, \"source\": 0, \"target\": 5}, {\"weight\": 6826, \"source\": 0, \"target\": 6}, {\"weight\": 7933, \"source\": 0, \"target\": 1}, {\"weight\": 10254, \"source\": 0, \"target\": 2}, {\"weight\": 5972, \"source\": 0, \"target\": 3}, {\"weight\": 7509, \"source\": 0, \"target\": 4}, {\"weight\": 4551, \"source\": 0, \"target\": 7}, {\"weight\": 18164, \"source\": 0, \"target\": 8}, {\"weight\": 11576, \"source\": 1, \"target\": 5}, {\"weight\": 14412, \"source\": 1, \"target\": 6}, {\"weight\": 8673, \"source\": 1, \"target\": 2}, {\"weight\": 13390, \"source\": 1, \"target\": 3}, {\"weight\": 3742, \"source\": 1, \"target\": 4}, {\"weight\": 10559, \"source\": 1, \"target\": 7}, {\"weight\": 13924, \"source\": 1, \"target\": 8}, {\"weight\": 16836, \"source\": 2, \"target\": 5}, {\"weight\": 14517, \"source\": 2, \"target\": 6}, {\"weight\": 15684, \"source\": 2, \"target\": 3}, {\"weight\": 6168, \"source\": 2, \"target\": 4}, {\"weight\": 8831, \"source\": 2, \"target\": 7}, {\"weight\": 15047, \"source\": 2, \"target\": 8}, {\"weight\": 3742, \"source\": 3, \"target\": 5}, {\"weight\": 7287, \"source\": 3, \"target\": 6}, {\"weight\": 13180, \"source\": 3, \"target\": 4}, {\"weight\": 9521, \"source\": 3, \"target\": 7}, {\"weight\": 13231, \"source\": 3, \"target\": 8}, {\"weight\": 12007, \"source\": 4, \"target\": 5}, {\"weight\": 13396, \"source\": 4, \"target\": 6}, {\"weight\": 9056, \"source\": 4, \"target\": 7}, {\"weight\": 12925, \"source\": 4, \"target\": 8}, {\"weight\": 9721, \"source\": 5, \"target\": 6}, {\"weight\": 12705, \"source\": 5, \"target\": 7}, {\"weight\": 9718, \"source\": 5, \"target\": 8}, {\"weight\": 6990, \"source\": 6, \"target\": 7}, {\"weight\": 15310, \"source\": 6, \"target\": 8}, {\"weight\": 19328, \"source\": 7, \"target\": 8}]}",
"id": 2020,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRO, YFS, RCH, KRY, BIS, WNZ, JUB, OUZ, PMR\n- Travel distances (in kilometers) between each pair of airports:\nFRO to WNZ: 8840\nFRO to JUB: 6826\nFRO to YFS: 7933\nFRO to RCH: 10254\nFRO to KRY: 5972\nFRO to BIS: 7509\nFRO to OUZ: 4551\nFRO to PMR: 18164\nYFS to WNZ: 11576\nYFS to JUB: 14412\nYFS to RCH: 8673\nYFS to KRY: 13390\nYFS to BIS: 3742\nYFS to OUZ: 10559\nYFS to PMR: 13924\nRCH to WNZ: 16836\nRCH to JUB: 14517\nRCH to KRY: 15684\nRCH to BIS: 6168\nRCH to OUZ: 8831\nRCH to PMR: 15047\nKRY to WNZ: 3742\nKRY to JUB: 7287\nKRY to BIS: 13180\nKRY to OUZ: 9521\nKRY to PMR: 13231\nBIS to WNZ: 12007\nBIS to JUB: 13396\nBIS to OUZ: 9056\nBIS to PMR: 12925\nWNZ to JUB: 9721\nWNZ to OUZ: 12705\nWNZ to PMR: 9718\nJUB to OUZ: 6990\nJUB to PMR: 15310\nOUZ to PMR: 19328\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUC, ANG, BKZ, FAV, ENY, ODY, HTY, GCM, DZA\n- Travel distances (in kilometers) between each pair of airports:\nCUC to GCM: 2197\nCUC to DZA: 15015\nCUC to ENY: 15802\nCUC to ANG: 10430\nCUC to HTY: 11882\nCUC to BKZ: 14533\nCUC to ODY: 18209\nCUC to FAV: 12673\nANG to GCM: 9863\nANG to DZA: 8696\nANG to ENY: 9756\nANG to HTY: 3738\nANG to BKZ: 7881\nANG to ODY: 11067\nANG to FAV: 17997\nBKZ to GCM: 14780\nBKZ to DZA: 1965\nBKZ to ENY: 9364\nBKZ to HTY: 4888\nBKZ to ODY: 8682\nBKZ to FAV: 19349\nFAV to GCM: 11119\nFAV to DZA: 17384\nFAV to ENY: 12752\nFAV to HTY: 18891\nFAV to ODY: 14410\nENY to GCM: 13881\nENY to DZA: 10254\nENY to HTY: 7363\nENY to ODY: 2534\nODY to GCM: 16288\nODY to DZA: 8386\nODY to HTY: 8059\nHTY to GCM: 11044\nHTY to DZA: 5711\nGCM to DZA: 15695\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58009,
"style": "rule"
}
|
{
"exact_answer": 58009,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CUC\", \"id\": 0}, {\"name\": \"ANG\", \"id\": 1}, {\"name\": \"BKZ\", \"id\": 2}, {\"name\": \"FAV\", \"id\": 3}, {\"name\": \"ENY\", \"id\": 4}, {\"name\": \"ODY\", \"id\": 5}, {\"name\": \"HTY\", \"id\": 6}, {\"name\": \"GCM\", \"id\": 7}, {\"name\": \"DZA\", \"id\": 8}], \"links\": [{\"weight\": 2197, \"source\": 0, \"target\": 7}, {\"weight\": 15015, \"source\": 0, \"target\": 8}, {\"weight\": 15802, \"source\": 0, \"target\": 4}, {\"weight\": 10430, \"source\": 0, \"target\": 1}, {\"weight\": 11882, \"source\": 0, \"target\": 6}, {\"weight\": 14533, \"source\": 0, \"target\": 2}, {\"weight\": 18209, \"source\": 0, \"target\": 5}, {\"weight\": 12673, \"source\": 0, \"target\": 3}, {\"weight\": 9863, \"source\": 1, \"target\": 7}, {\"weight\": 8696, \"source\": 1, \"target\": 8}, {\"weight\": 9756, \"source\": 1, \"target\": 4}, {\"weight\": 3738, \"source\": 1, \"target\": 6}, {\"weight\": 7881, \"source\": 1, \"target\": 2}, {\"weight\": 11067, \"source\": 1, \"target\": 5}, {\"weight\": 17997, \"source\": 1, \"target\": 3}, {\"weight\": 14780, \"source\": 2, \"target\": 7}, {\"weight\": 1965, \"source\": 2, \"target\": 8}, {\"weight\": 9364, \"source\": 2, \"target\": 4}, {\"weight\": 4888, \"source\": 2, \"target\": 6}, {\"weight\": 8682, \"source\": 2, \"target\": 5}, {\"weight\": 19349, \"source\": 2, \"target\": 3}, {\"weight\": 11119, \"source\": 3, \"target\": 7}, {\"weight\": 17384, \"source\": 3, \"target\": 8}, {\"weight\": 12752, \"source\": 3, \"target\": 4}, {\"weight\": 18891, \"source\": 3, \"target\": 6}, {\"weight\": 14410, \"source\": 3, \"target\": 5}, {\"weight\": 13881, \"source\": 4, \"target\": 7}, {\"weight\": 10254, \"source\": 4, \"target\": 8}, {\"weight\": 7363, \"source\": 4, \"target\": 6}, {\"weight\": 2534, \"source\": 4, \"target\": 5}, {\"weight\": 16288, \"source\": 5, \"target\": 7}, {\"weight\": 8386, \"source\": 5, \"target\": 8}, {\"weight\": 8059, \"source\": 5, \"target\": 6}, {\"weight\": 11044, \"source\": 6, \"target\": 7}, {\"weight\": 5711, \"source\": 6, \"target\": 8}, {\"weight\": 15695, \"source\": 7, \"target\": 8}]}",
"id": 2021,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CUC, ANG, BKZ, FAV, ENY, ODY, HTY, GCM, DZA\n- Travel distances (in kilometers) between each pair of airports:\nCUC to GCM: 2197\nCUC to DZA: 15015\nCUC to ENY: 15802\nCUC to ANG: 10430\nCUC to HTY: 11882\nCUC to BKZ: 14533\nCUC to ODY: 18209\nCUC to FAV: 12673\nANG to GCM: 9863\nANG to DZA: 8696\nANG to ENY: 9756\nANG to HTY: 3738\nANG to BKZ: 7881\nANG to ODY: 11067\nANG to FAV: 17997\nBKZ to GCM: 14780\nBKZ to DZA: 1965\nBKZ to ENY: 9364\nBKZ to HTY: 4888\nBKZ to ODY: 8682\nBKZ to FAV: 19349\nFAV to GCM: 11119\nFAV to DZA: 17384\nFAV to ENY: 12752\nFAV to HTY: 18891\nFAV to ODY: 14410\nENY to GCM: 13881\nENY to DZA: 10254\nENY to HTY: 7363\nENY to ODY: 2534\nODY to GCM: 16288\nODY to DZA: 8386\nODY to HTY: 8059\nHTY to GCM: 11044\nHTY to DZA: 5711\nGCM to DZA: 15695\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BBO, MLG, JGS, SCQ, PTG, UMD, HER, ZUM, DZA\n- Travel distances (in kilometers) between each pair of airports:\nBBO to HER: 3646\nBBO to DZA: 3060\nBBO to JGS: 7823\nBBO to SCQ: 6427\nBBO to MLG: 8773\nBBO to UMD: 9659\nBBO to ZUM: 10965\nBBO to PTG: 4769\nMLG to HER: 10345\nMLG to DZA: 8913\nMLG to JGS: 4260\nMLG to SCQ: 13261\nMLG to UMD: 15411\nMLG to ZUM: 17223\nMLG to PTG: 10518\nJGS to HER: 8696\nJGS to DZA: 9688\nJGS to SCQ: 10384\nJGS to UMD: 12026\nJGS to ZUM: 13704\nJGS to PTG: 11399\nSCQ to HER: 3094\nSCQ to DZA: 8691\nSCQ to UMD: 4984\nSCQ to ZUM: 6169\nSCQ to PTG: 8984\nPTG to HER: 7755\nPTG to DZA: 3122\nPTG to UMD: 13409\nPTG to ZUM: 14150\nUMD to HER: 6322\nUMD to DZA: 12180\nUMD to ZUM: 7605\nHER to DZA: 6198\nHER to ZUM: 7507\nZUM to DZA: 13195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53500,
"style": "rule"
}
|
{
"exact_answer": 53500,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BBO\", \"id\": 0}, {\"name\": \"MLG\", \"id\": 1}, {\"name\": \"JGS\", \"id\": 2}, {\"name\": \"SCQ\", \"id\": 3}, {\"name\": \"PTG\", \"id\": 4}, {\"name\": \"UMD\", \"id\": 5}, {\"name\": \"HER\", \"id\": 6}, {\"name\": \"ZUM\", \"id\": 7}, {\"name\": \"DZA\", \"id\": 8}], \"links\": [{\"weight\": 3646, \"source\": 0, \"target\": 6}, {\"weight\": 3060, \"source\": 0, \"target\": 8}, {\"weight\": 7823, \"source\": 0, \"target\": 2}, {\"weight\": 6427, \"source\": 0, \"target\": 3}, {\"weight\": 8773, \"source\": 0, \"target\": 1}, {\"weight\": 9659, \"source\": 0, \"target\": 5}, {\"weight\": 10965, \"source\": 0, \"target\": 7}, {\"weight\": 4769, \"source\": 0, \"target\": 4}, {\"weight\": 10345, \"source\": 1, \"target\": 6}, {\"weight\": 8913, \"source\": 1, \"target\": 8}, {\"weight\": 4260, \"source\": 1, \"target\": 2}, {\"weight\": 13261, \"source\": 1, \"target\": 3}, {\"weight\": 15411, \"source\": 1, \"target\": 5}, {\"weight\": 17223, \"source\": 1, \"target\": 7}, {\"weight\": 10518, \"source\": 1, \"target\": 4}, {\"weight\": 8696, \"source\": 2, \"target\": 6}, {\"weight\": 9688, \"source\": 2, \"target\": 8}, {\"weight\": 10384, \"source\": 2, \"target\": 3}, {\"weight\": 12026, \"source\": 2, \"target\": 5}, {\"weight\": 13704, \"source\": 2, \"target\": 7}, {\"weight\": 11399, \"source\": 2, \"target\": 4}, {\"weight\": 3094, \"source\": 3, \"target\": 6}, {\"weight\": 8691, \"source\": 3, \"target\": 8}, {\"weight\": 4984, \"source\": 3, \"target\": 5}, {\"weight\": 6169, \"source\": 3, \"target\": 7}, {\"weight\": 8984, \"source\": 3, \"target\": 4}, {\"weight\": 7755, \"source\": 4, \"target\": 6}, {\"weight\": 3122, \"source\": 4, \"target\": 8}, {\"weight\": 13409, \"source\": 4, \"target\": 5}, {\"weight\": 14150, \"source\": 4, \"target\": 7}, {\"weight\": 6322, \"source\": 5, \"target\": 6}, {\"weight\": 12180, \"source\": 5, \"target\": 8}, {\"weight\": 7605, \"source\": 5, \"target\": 7}, {\"weight\": 6198, \"source\": 6, \"target\": 8}, {\"weight\": 7507, \"source\": 6, \"target\": 7}, {\"weight\": 13195, \"source\": 7, \"target\": 8}]}",
"id": 2022,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BBO, MLG, JGS, SCQ, PTG, UMD, HER, ZUM, DZA\n- Travel distances (in kilometers) between each pair of airports:\nBBO to HER: 3646\nBBO to DZA: 3060\nBBO to JGS: 7823\nBBO to SCQ: 6427\nBBO to MLG: 8773\nBBO to UMD: 9659\nBBO to ZUM: 10965\nBBO to PTG: 4769\nMLG to HER: 10345\nMLG to DZA: 8913\nMLG to JGS: 4260\nMLG to SCQ: 13261\nMLG to UMD: 15411\nMLG to ZUM: 17223\nMLG to PTG: 10518\nJGS to HER: 8696\nJGS to DZA: 9688\nJGS to SCQ: 10384\nJGS to UMD: 12026\nJGS to ZUM: 13704\nJGS to PTG: 11399\nSCQ to HER: 3094\nSCQ to DZA: 8691\nSCQ to UMD: 4984\nSCQ to ZUM: 6169\nSCQ to PTG: 8984\nPTG to HER: 7755\nPTG to DZA: 3122\nPTG to UMD: 13409\nPTG to ZUM: 14150\nUMD to HER: 6322\nUMD to DZA: 12180\nUMD to ZUM: 7605\nHER to DZA: 6198\nHER to ZUM: 7507\nZUM to DZA: 13195\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GTR, SYX, UCT, RIY, KHI, YPO, BZO, YNA, ODO\n- Travel distances (in kilometers) between each pair of airports:\nGTR to ODO: 13800\nGTR to SYX: 14440\nGTR to UCT: 9782\nGTR to KHI: 13247\nGTR to BZO: 8994\nGTR to RIY: 13138\nGTR to YNA: 3071\nGTR to YPO: 2966\nSYX to ODO: 5041\nSYX to UCT: 7241\nSYX to KHI: 4609\nSYX to BZO: 9973\nSYX to RIY: 7068\nSYX to YNA: 14355\nSYX to YPO: 14466\nUCT to ODO: 4742\nUCT to KHI: 4911\nUCT to BZO: 4170\nUCT to RIY: 5907\nUCT to YNA: 8046\nUCT to YPO: 9603\nRIY to ODO: 7280\nRIY to KHI: 2481\nRIY to BZO: 5190\nRIY to YNA: 10680\nRIY to YPO: 12700\nKHI to ODO: 5763\nKHI to BZO: 5864\nKHI to YNA: 10970\nKHI to YPO: 12962\nYPO to ODO: 13621\nYPO to BZO: 8564\nYPO to YNA: 2536\nBZO to ODO: 8007\nBZO to YNA: 6598\nYNA to ODO: 12064\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43945,
"style": "rule"
}
|
{
"exact_answer": 43945,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GTR\", \"id\": 0}, {\"name\": \"SYX\", \"id\": 1}, {\"name\": \"UCT\", \"id\": 2}, {\"name\": \"RIY\", \"id\": 3}, {\"name\": \"KHI\", \"id\": 4}, {\"name\": \"YPO\", \"id\": 5}, {\"name\": \"BZO\", \"id\": 6}, {\"name\": \"YNA\", \"id\": 7}, {\"name\": \"ODO\", \"id\": 8}], \"links\": [{\"weight\": 13800, \"source\": 0, \"target\": 8}, {\"weight\": 14440, \"source\": 0, \"target\": 1}, {\"weight\": 9782, \"source\": 0, \"target\": 2}, {\"weight\": 13247, \"source\": 0, \"target\": 4}, {\"weight\": 8994, \"source\": 0, \"target\": 6}, {\"weight\": 13138, \"source\": 0, \"target\": 3}, {\"weight\": 3071, \"source\": 0, \"target\": 7}, {\"weight\": 2966, \"source\": 0, \"target\": 5}, {\"weight\": 5041, \"source\": 1, \"target\": 8}, {\"weight\": 7241, \"source\": 1, \"target\": 2}, {\"weight\": 4609, \"source\": 1, \"target\": 4}, {\"weight\": 9973, \"source\": 1, \"target\": 6}, {\"weight\": 7068, \"source\": 1, \"target\": 3}, {\"weight\": 14355, \"source\": 1, \"target\": 7}, {\"weight\": 14466, \"source\": 1, \"target\": 5}, {\"weight\": 4742, \"source\": 2, \"target\": 8}, {\"weight\": 4911, \"source\": 2, \"target\": 4}, {\"weight\": 4170, \"source\": 2, \"target\": 6}, {\"weight\": 5907, \"source\": 2, \"target\": 3}, {\"weight\": 8046, \"source\": 2, \"target\": 7}, {\"weight\": 9603, \"source\": 2, \"target\": 5}, {\"weight\": 7280, \"source\": 3, \"target\": 8}, {\"weight\": 2481, \"source\": 3, \"target\": 4}, {\"weight\": 5190, \"source\": 3, \"target\": 6}, {\"weight\": 10680, \"source\": 3, \"target\": 7}, {\"weight\": 12700, \"source\": 3, \"target\": 5}, {\"weight\": 5763, \"source\": 4, \"target\": 8}, {\"weight\": 5864, \"source\": 4, \"target\": 6}, {\"weight\": 10970, \"source\": 4, \"target\": 7}, {\"weight\": 12962, \"source\": 4, \"target\": 5}, {\"weight\": 13621, \"source\": 5, \"target\": 8}, {\"weight\": 8564, \"source\": 5, \"target\": 6}, {\"weight\": 2536, \"source\": 5, \"target\": 7}, {\"weight\": 8007, \"source\": 6, \"target\": 8}, {\"weight\": 6598, \"source\": 6, \"target\": 7}, {\"weight\": 12064, \"source\": 7, \"target\": 8}]}",
"id": 2023,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GTR, SYX, UCT, RIY, KHI, YPO, BZO, YNA, ODO\n- Travel distances (in kilometers) between each pair of airports:\nGTR to ODO: 13800\nGTR to SYX: 14440\nGTR to UCT: 9782\nGTR to KHI: 13247\nGTR to BZO: 8994\nGTR to RIY: 13138\nGTR to YNA: 3071\nGTR to YPO: 2966\nSYX to ODO: 5041\nSYX to UCT: 7241\nSYX to KHI: 4609\nSYX to BZO: 9973\nSYX to RIY: 7068\nSYX to YNA: 14355\nSYX to YPO: 14466\nUCT to ODO: 4742\nUCT to KHI: 4911\nUCT to BZO: 4170\nUCT to RIY: 5907\nUCT to YNA: 8046\nUCT to YPO: 9603\nRIY to ODO: 7280\nRIY to KHI: 2481\nRIY to BZO: 5190\nRIY to YNA: 10680\nRIY to YPO: 12700\nKHI to ODO: 5763\nKHI to BZO: 5864\nKHI to YNA: 10970\nKHI to YPO: 12962\nYPO to ODO: 13621\nYPO to BZO: 8564\nYPO to YNA: 2536\nBZO to ODO: 8007\nBZO to YNA: 6598\nYNA to ODO: 12064\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AES, IMT, AGX, RVD, TFI, KAO, HDG, PNH\n- Travel distances (in kilometers) between each pair of airports:\nACU to PNH: 18130\nACU to HDG: 15679\nACU to RVD: 7081\nACU to AGX: 18091\nACU to KAO: 11509\nACU to AES: 10111\nACU to TFI: 17589\nACU to IMT: 5194\nAES to PNH: 9544\nAES to HDG: 8558\nAES to RVD: 11480\nAES to AGX: 8653\nAES to KAO: 1801\nAES to TFI: 14241\nAES to IMT: 7415\nIMT to PNH: 14431\nIMT to HDG: 12050\nIMT to RVD: 10023\nIMT to AGX: 15485\nIMT to KAO: 8779\nIMT to TFI: 15274\nAGX to PNH: 3715\nAGX to HDG: 5550\nAGX to RVD: 16001\nAGX to KAO: 8303\nAGX to TFI: 8837\nRVD to PNH: 17778\nRVD to HDG: 18971\nRVD to KAO: 12655\nRVD to TFI: 17802\nTFI to PNH: 5984\nTFI to HDG: 6894\nTFI to KAO: 13770\nKAO to PNH: 9076\nKAO to HDG: 8087\nHDG to PNH: 3064\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61269,
"style": "rule"
}
|
{
"exact_answer": 61269,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACU\", \"id\": 0}, {\"name\": \"AES\", \"id\": 1}, {\"name\": \"IMT\", \"id\": 2}, {\"name\": \"AGX\", \"id\": 3}, {\"name\": \"RVD\", \"id\": 4}, {\"name\": \"TFI\", \"id\": 5}, {\"name\": \"KAO\", \"id\": 6}, {\"name\": \"HDG\", \"id\": 7}, {\"name\": \"PNH\", \"id\": 8}], \"links\": [{\"weight\": 18130, \"source\": 0, \"target\": 8}, {\"weight\": 15679, \"source\": 0, \"target\": 7}, {\"weight\": 7081, \"source\": 0, \"target\": 4}, {\"weight\": 18091, \"source\": 0, \"target\": 3}, {\"weight\": 11509, \"source\": 0, \"target\": 6}, {\"weight\": 10111, \"source\": 0, \"target\": 1}, {\"weight\": 17589, \"source\": 0, \"target\": 5}, {\"weight\": 5194, \"source\": 0, \"target\": 2}, {\"weight\": 9544, \"source\": 1, \"target\": 8}, {\"weight\": 8558, \"source\": 1, \"target\": 7}, {\"weight\": 11480, \"source\": 1, \"target\": 4}, {\"weight\": 8653, \"source\": 1, \"target\": 3}, {\"weight\": 1801, \"source\": 1, \"target\": 6}, {\"weight\": 14241, \"source\": 1, \"target\": 5}, {\"weight\": 7415, \"source\": 1, \"target\": 2}, {\"weight\": 14431, \"source\": 2, \"target\": 8}, {\"weight\": 12050, \"source\": 2, \"target\": 7}, {\"weight\": 10023, \"source\": 2, \"target\": 4}, {\"weight\": 15485, \"source\": 2, \"target\": 3}, {\"weight\": 8779, \"source\": 2, \"target\": 6}, {\"weight\": 15274, \"source\": 2, \"target\": 5}, {\"weight\": 3715, \"source\": 3, \"target\": 8}, {\"weight\": 5550, \"source\": 3, \"target\": 7}, {\"weight\": 16001, \"source\": 3, \"target\": 4}, {\"weight\": 8303, \"source\": 3, \"target\": 6}, {\"weight\": 8837, \"source\": 3, \"target\": 5}, {\"weight\": 17778, \"source\": 4, \"target\": 8}, {\"weight\": 18971, \"source\": 4, \"target\": 7}, {\"weight\": 12655, \"source\": 4, \"target\": 6}, {\"weight\": 17802, \"source\": 4, \"target\": 5}, {\"weight\": 5984, \"source\": 5, \"target\": 8}, {\"weight\": 6894, \"source\": 5, \"target\": 7}, {\"weight\": 13770, \"source\": 5, \"target\": 6}, {\"weight\": 9076, \"source\": 6, \"target\": 8}, {\"weight\": 8087, \"source\": 6, \"target\": 7}, {\"weight\": 3064, \"source\": 7, \"target\": 8}]}",
"id": 2024,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AES, IMT, AGX, RVD, TFI, KAO, HDG, PNH\n- Travel distances (in kilometers) between each pair of airports:\nACU to PNH: 18130\nACU to HDG: 15679\nACU to RVD: 7081\nACU to AGX: 18091\nACU to KAO: 11509\nACU to AES: 10111\nACU to TFI: 17589\nACU to IMT: 5194\nAES to PNH: 9544\nAES to HDG: 8558\nAES to RVD: 11480\nAES to AGX: 8653\nAES to KAO: 1801\nAES to TFI: 14241\nAES to IMT: 7415\nIMT to PNH: 14431\nIMT to HDG: 12050\nIMT to RVD: 10023\nIMT to AGX: 15485\nIMT to KAO: 8779\nIMT to TFI: 15274\nAGX to PNH: 3715\nAGX to HDG: 5550\nAGX to RVD: 16001\nAGX to KAO: 8303\nAGX to TFI: 8837\nRVD to PNH: 17778\nRVD to HDG: 18971\nRVD to KAO: 12655\nRVD to TFI: 17802\nTFI to PNH: 5984\nTFI to HDG: 6894\nTFI to KAO: 13770\nKAO to PNH: 9076\nKAO to HDG: 8087\nHDG to PNH: 3064\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VBY, MSY, PSG, CTU, BPX, CHS, YOG, CYF, KOO\n- Travel distances (in kilometers) between each pair of airports:\nVBY to CTU: 7240\nVBY to CYF: 11290\nVBY to MSY: 8321\nVBY to CHS: 7537\nVBY to PSG: 9448\nVBY to KOO: 9490\nVBY to BPX: 7802\nVBY to YOG: 7951\nMSY to CTU: 13467\nMSY to CYF: 6361\nMSY to CHS: 1099\nMSY to PSG: 4625\nMSY to KOO: 13794\nMSY to BPX: 14121\nMSY to YOG: 3204\nPSG to CTU: 11508\nPSG to CYF: 1903\nPSG to CHS: 5158\nPSG to KOO: 17287\nPSG to BPX: 12162\nPSG to YOG: 4295\nCTU to BPX: 654\nCTU to CYF: 13350\nCTU to CHS: 13278\nCTU to KOO: 12081\nCTU to YOG: 13017\nBPX to CYF: 14004\nBPX to CHS: 13932\nBPX to KOO: 11434\nBPX to YOG: 13671\nCHS to CYF: 6582\nCHS to KOO: 13184\nCHS to YOG: 2634\nYOG to CYF: 6137\nYOG to KOO: 14165\nCYF to KOO: 18643\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52966,
"style": "rule"
}
|
{
"exact_answer": 52966,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VBY\", \"id\": 0}, {\"name\": \"MSY\", \"id\": 1}, {\"name\": \"PSG\", \"id\": 2}, {\"name\": \"CTU\", \"id\": 3}, {\"name\": \"BPX\", \"id\": 4}, {\"name\": \"CHS\", \"id\": 5}, {\"name\": \"YOG\", \"id\": 6}, {\"name\": \"CYF\", \"id\": 7}, {\"name\": \"KOO\", \"id\": 8}], \"links\": [{\"weight\": 7240, \"source\": 0, \"target\": 3}, {\"weight\": 11290, \"source\": 0, \"target\": 7}, {\"weight\": 8321, \"source\": 0, \"target\": 1}, {\"weight\": 7537, \"source\": 0, \"target\": 5}, {\"weight\": 9448, \"source\": 0, \"target\": 2}, {\"weight\": 9490, \"source\": 0, \"target\": 8}, {\"weight\": 7802, \"source\": 0, \"target\": 4}, {\"weight\": 7951, \"source\": 0, \"target\": 6}, {\"weight\": 13467, \"source\": 1, \"target\": 3}, {\"weight\": 6361, \"source\": 1, \"target\": 7}, {\"weight\": 1099, \"source\": 1, \"target\": 5}, {\"weight\": 4625, \"source\": 1, \"target\": 2}, {\"weight\": 13794, \"source\": 1, \"target\": 8}, {\"weight\": 14121, \"source\": 1, \"target\": 4}, {\"weight\": 3204, \"source\": 1, \"target\": 6}, {\"weight\": 11508, \"source\": 2, \"target\": 3}, {\"weight\": 1903, \"source\": 2, \"target\": 7}, {\"weight\": 5158, \"source\": 2, \"target\": 5}, {\"weight\": 17287, \"source\": 2, \"target\": 8}, {\"weight\": 12162, \"source\": 2, \"target\": 4}, {\"weight\": 4295, \"source\": 2, \"target\": 6}, {\"weight\": 654, \"source\": 3, \"target\": 4}, {\"weight\": 13350, \"source\": 3, \"target\": 7}, {\"weight\": 13278, \"source\": 3, \"target\": 5}, {\"weight\": 12081, \"source\": 3, \"target\": 8}, {\"weight\": 13017, \"source\": 3, \"target\": 6}, {\"weight\": 14004, \"source\": 4, \"target\": 7}, {\"weight\": 13932, \"source\": 4, \"target\": 5}, {\"weight\": 11434, \"source\": 4, \"target\": 8}, {\"weight\": 13671, \"source\": 4, \"target\": 6}, {\"weight\": 6582, \"source\": 5, \"target\": 7}, {\"weight\": 13184, \"source\": 5, \"target\": 8}, {\"weight\": 2634, \"source\": 5, \"target\": 6}, {\"weight\": 6137, \"source\": 6, \"target\": 7}, {\"weight\": 14165, \"source\": 6, \"target\": 8}, {\"weight\": 18643, \"source\": 7, \"target\": 8}]}",
"id": 2025,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VBY, MSY, PSG, CTU, BPX, CHS, YOG, CYF, KOO\n- Travel distances (in kilometers) between each pair of airports:\nVBY to CTU: 7240\nVBY to CYF: 11290\nVBY to MSY: 8321\nVBY to CHS: 7537\nVBY to PSG: 9448\nVBY to KOO: 9490\nVBY to BPX: 7802\nVBY to YOG: 7951\nMSY to CTU: 13467\nMSY to CYF: 6361\nMSY to CHS: 1099\nMSY to PSG: 4625\nMSY to KOO: 13794\nMSY to BPX: 14121\nMSY to YOG: 3204\nPSG to CTU: 11508\nPSG to CYF: 1903\nPSG to CHS: 5158\nPSG to KOO: 17287\nPSG to BPX: 12162\nPSG to YOG: 4295\nCTU to BPX: 654\nCTU to CYF: 13350\nCTU to CHS: 13278\nCTU to KOO: 12081\nCTU to YOG: 13017\nBPX to CYF: 14004\nBPX to CHS: 13932\nBPX to KOO: 11434\nBPX to YOG: 13671\nCHS to CYF: 6582\nCHS to KOO: 13184\nCHS to YOG: 2634\nYOG to CYF: 6137\nYOG to KOO: 14165\nCYF to KOO: 18643\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, CNP, MSP, EYK, MKG, LFW, PZB, GOV, INU\n- Travel distances (in kilometers) between each pair of airports:\nIAO to LFW: 13811\nIAO to EYK: 8235\nIAO to MSP: 13059\nIAO to GOV: 4625\nIAO to CNP: 15119\nIAO to INU: 7557\nIAO to PZB: 11750\nIAO to MKG: 13770\nCNP to LFW: 9932\nCNP to EYK: 8152\nCNP to MSP: 8185\nCNP to GOV: 18155\nCNP to INU: 17652\nCNP to PZB: 14340\nCNP to MKG: 7987\nMSP to LFW: 10041\nMSP to EYK: 10435\nMSP to GOV: 16427\nMSP to INU: 11037\nMSP to PZB: 14925\nMSP to MKG: 726\nEYK to LFW: 8398\nEYK to GOV: 11271\nEYK to INU: 13125\nEYK to PZB: 11061\nEYK to MKG: 10200\nMKG to LFW: 9767\nMKG to GOV: 17004\nMKG to INU: 11650\nMKG to PZB: 14651\nLFW to GOV: 15766\nLFW to INU: 19639\nLFW to PZB: 5129\nPZB to GOV: 12051\nPZB to INU: 15547\nGOV to INU: 5807\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63611,
"style": "rule"
}
|
{
"exact_answer": 63611,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAO\", \"id\": 0}, {\"name\": \"CNP\", \"id\": 1}, {\"name\": \"MSP\", \"id\": 2}, {\"name\": \"EYK\", \"id\": 3}, {\"name\": \"MKG\", \"id\": 4}, {\"name\": \"LFW\", \"id\": 5}, {\"name\": \"PZB\", \"id\": 6}, {\"name\": \"GOV\", \"id\": 7}, {\"name\": \"INU\", \"id\": 8}], \"links\": [{\"weight\": 13811, \"source\": 0, \"target\": 5}, {\"weight\": 8235, \"source\": 0, \"target\": 3}, {\"weight\": 13059, \"source\": 0, \"target\": 2}, {\"weight\": 4625, \"source\": 0, \"target\": 7}, {\"weight\": 15119, \"source\": 0, \"target\": 1}, {\"weight\": 7557, \"source\": 0, \"target\": 8}, {\"weight\": 11750, \"source\": 0, \"target\": 6}, {\"weight\": 13770, \"source\": 0, \"target\": 4}, {\"weight\": 9932, \"source\": 1, \"target\": 5}, {\"weight\": 8152, \"source\": 1, \"target\": 3}, {\"weight\": 8185, \"source\": 1, \"target\": 2}, {\"weight\": 18155, \"source\": 1, \"target\": 7}, {\"weight\": 17652, \"source\": 1, \"target\": 8}, {\"weight\": 14340, \"source\": 1, \"target\": 6}, {\"weight\": 7987, \"source\": 1, \"target\": 4}, {\"weight\": 10041, \"source\": 2, \"target\": 5}, {\"weight\": 10435, \"source\": 2, \"target\": 3}, {\"weight\": 16427, \"source\": 2, \"target\": 7}, {\"weight\": 11037, \"source\": 2, \"target\": 8}, {\"weight\": 14925, \"source\": 2, \"target\": 6}, {\"weight\": 726, \"source\": 2, \"target\": 4}, {\"weight\": 8398, \"source\": 3, \"target\": 5}, {\"weight\": 11271, \"source\": 3, \"target\": 7}, {\"weight\": 13125, \"source\": 3, \"target\": 8}, {\"weight\": 11061, \"source\": 3, \"target\": 6}, {\"weight\": 10200, \"source\": 3, \"target\": 4}, {\"weight\": 9767, \"source\": 4, \"target\": 5}, {\"weight\": 17004, \"source\": 4, \"target\": 7}, {\"weight\": 11650, \"source\": 4, \"target\": 8}, {\"weight\": 14651, \"source\": 4, \"target\": 6}, {\"weight\": 15766, \"source\": 5, \"target\": 7}, {\"weight\": 19639, \"source\": 5, \"target\": 8}, {\"weight\": 5129, \"source\": 5, \"target\": 6}, {\"weight\": 12051, \"source\": 6, \"target\": 7}, {\"weight\": 15547, \"source\": 6, \"target\": 8}, {\"weight\": 5807, \"source\": 7, \"target\": 8}]}",
"id": 2026,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, CNP, MSP, EYK, MKG, LFW, PZB, GOV, INU\n- Travel distances (in kilometers) between each pair of airports:\nIAO to LFW: 13811\nIAO to EYK: 8235\nIAO to MSP: 13059\nIAO to GOV: 4625\nIAO to CNP: 15119\nIAO to INU: 7557\nIAO to PZB: 11750\nIAO to MKG: 13770\nCNP to LFW: 9932\nCNP to EYK: 8152\nCNP to MSP: 8185\nCNP to GOV: 18155\nCNP to INU: 17652\nCNP to PZB: 14340\nCNP to MKG: 7987\nMSP to LFW: 10041\nMSP to EYK: 10435\nMSP to GOV: 16427\nMSP to INU: 11037\nMSP to PZB: 14925\nMSP to MKG: 726\nEYK to LFW: 8398\nEYK to GOV: 11271\nEYK to INU: 13125\nEYK to PZB: 11061\nEYK to MKG: 10200\nMKG to LFW: 9767\nMKG to GOV: 17004\nMKG to INU: 11650\nMKG to PZB: 14651\nLFW to GOV: 15766\nLFW to INU: 19639\nLFW to PZB: 5129\nPZB to GOV: 12051\nPZB to INU: 15547\nGOV to INU: 5807\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUA, CIZ, STN, GLK, PVG, GUW, RZR, KSE, HFT\n- Travel distances (in kilometers) between each pair of airports:\nMUA to PVG: 7516\nMUA to STN: 16385\nMUA to KSE: 15304\nMUA to CIZ: 19050\nMUA to GUW: 12921\nMUA to RZR: 13211\nMUA to GLK: 14917\nMUA to HFT: 16087\nCIZ to PVG: 17500\nCIZ to STN: 9843\nCIZ to KSE: 12225\nCIZ to GUW: 12984\nCIZ to RZR: 13519\nCIZ to GLK: 13637\nCIZ to HFT: 11506\nSTN to PVG: 9184\nSTN to KSE: 6929\nSTN to GUW: 3682\nSTN to RZR: 4674\nSTN to GLK: 7166\nSTN to HFT: 2419\nGLK to PVG: 9400\nGLK to KSE: 2256\nGLK to GUW: 5196\nGLK to RZR: 4055\nGLK to HFT: 8288\nPVG to KSE: 10306\nPVG to GUW: 6160\nPVG to RZR: 6628\nPVG to HFT: 8918\nGUW to KSE: 5929\nGUW to RZR: 1845\nGUW to HFT: 3637\nRZR to KSE: 4854\nRZR to HFT: 5252\nKSE to HFT: 8356\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60820,
"style": "rule"
}
|
{
"exact_answer": 60820,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MUA\", \"id\": 0}, {\"name\": \"CIZ\", \"id\": 1}, {\"name\": \"STN\", \"id\": 2}, {\"name\": \"GLK\", \"id\": 3}, {\"name\": \"PVG\", \"id\": 4}, {\"name\": \"GUW\", \"id\": 5}, {\"name\": \"RZR\", \"id\": 6}, {\"name\": \"KSE\", \"id\": 7}, {\"name\": \"HFT\", \"id\": 8}], \"links\": [{\"weight\": 7516, \"source\": 0, \"target\": 4}, {\"weight\": 16385, \"source\": 0, \"target\": 2}, {\"weight\": 15304, \"source\": 0, \"target\": 7}, {\"weight\": 19050, \"source\": 0, \"target\": 1}, {\"weight\": 12921, \"source\": 0, \"target\": 5}, {\"weight\": 13211, \"source\": 0, \"target\": 6}, {\"weight\": 14917, \"source\": 0, \"target\": 3}, {\"weight\": 16087, \"source\": 0, \"target\": 8}, {\"weight\": 17500, \"source\": 1, \"target\": 4}, {\"weight\": 9843, \"source\": 1, \"target\": 2}, {\"weight\": 12225, \"source\": 1, \"target\": 7}, {\"weight\": 12984, \"source\": 1, \"target\": 5}, {\"weight\": 13519, \"source\": 1, \"target\": 6}, {\"weight\": 13637, \"source\": 1, \"target\": 3}, {\"weight\": 11506, \"source\": 1, \"target\": 8}, {\"weight\": 9184, \"source\": 2, \"target\": 4}, {\"weight\": 6929, \"source\": 2, \"target\": 7}, {\"weight\": 3682, \"source\": 2, \"target\": 5}, {\"weight\": 4674, \"source\": 2, \"target\": 6}, {\"weight\": 7166, \"source\": 2, \"target\": 3}, {\"weight\": 2419, \"source\": 2, \"target\": 8}, {\"weight\": 9400, \"source\": 3, \"target\": 4}, {\"weight\": 2256, \"source\": 3, \"target\": 7}, {\"weight\": 5196, \"source\": 3, \"target\": 5}, {\"weight\": 4055, \"source\": 3, \"target\": 6}, {\"weight\": 8288, \"source\": 3, \"target\": 8}, {\"weight\": 10306, \"source\": 4, \"target\": 7}, {\"weight\": 6160, \"source\": 4, \"target\": 5}, {\"weight\": 6628, \"source\": 4, \"target\": 6}, {\"weight\": 8918, \"source\": 4, \"target\": 8}, {\"weight\": 5929, \"source\": 5, \"target\": 7}, {\"weight\": 1845, \"source\": 5, \"target\": 6}, {\"weight\": 3637, \"source\": 5, \"target\": 8}, {\"weight\": 4854, \"source\": 6, \"target\": 7}, {\"weight\": 5252, \"source\": 6, \"target\": 8}, {\"weight\": 8356, \"source\": 7, \"target\": 8}]}",
"id": 2027,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MUA, CIZ, STN, GLK, PVG, GUW, RZR, KSE, HFT\n- Travel distances (in kilometers) between each pair of airports:\nMUA to PVG: 7516\nMUA to STN: 16385\nMUA to KSE: 15304\nMUA to CIZ: 19050\nMUA to GUW: 12921\nMUA to RZR: 13211\nMUA to GLK: 14917\nMUA to HFT: 16087\nCIZ to PVG: 17500\nCIZ to STN: 9843\nCIZ to KSE: 12225\nCIZ to GUW: 12984\nCIZ to RZR: 13519\nCIZ to GLK: 13637\nCIZ to HFT: 11506\nSTN to PVG: 9184\nSTN to KSE: 6929\nSTN to GUW: 3682\nSTN to RZR: 4674\nSTN to GLK: 7166\nSTN to HFT: 2419\nGLK to PVG: 9400\nGLK to KSE: 2256\nGLK to GUW: 5196\nGLK to RZR: 4055\nGLK to HFT: 8288\nPVG to KSE: 10306\nPVG to GUW: 6160\nPVG to RZR: 6628\nPVG to HFT: 8918\nGUW to KSE: 5929\nGUW to RZR: 1845\nGUW to HFT: 3637\nRZR to KSE: 4854\nRZR to HFT: 5252\nKSE to HFT: 8356\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, IDA, TTJ, BLK, MOD, YPC, SCY, YNA, PLQ\n- Travel distances (in kilometers) between each pair of airports:\nKLO to SCY: 18919\nKLO to YPC: 14124\nKLO to PLQ: 9662\nKLO to IDA: 12454\nKLO to BLK: 11342\nKLO to TTJ: 3851\nKLO to YNA: 15097\nKLO to MOD: 11701\nIDA to SCY: 7169\nIDA to YPC: 4242\nIDA to PLQ: 8992\nIDA to BLK: 8184\nIDA to TTJ: 9628\nIDA to YNA: 4407\nIDA to MOD: 1389\nTTJ to SCY: 16140\nTTJ to YPC: 11413\nTTJ to PLQ: 9135\nTTJ to BLK: 10590\nTTJ to YNA: 12832\nTTJ to MOD: 8918\nBLK to SCY: 10814\nBLK to YPC: 9182\nBLK to PLQ: 1762\nBLK to YNA: 5158\nBLK to MOD: 8525\nMOD to SCY: 7472\nMOD to YPC: 4534\nMOD to PLQ: 9448\nMOD to YNA: 5285\nYPC to SCY: 10563\nYPC to PLQ: 9990\nYPC to YNA: 5665\nSCY to PLQ: 12052\nSCY to YNA: 7459\nYNA to PLQ: 6139\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52397,
"style": "rule"
}
|
{
"exact_answer": 52397,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLO\", \"id\": 0}, {\"name\": \"IDA\", \"id\": 1}, {\"name\": \"TTJ\", \"id\": 2}, {\"name\": \"BLK\", \"id\": 3}, {\"name\": \"MOD\", \"id\": 4}, {\"name\": \"YPC\", \"id\": 5}, {\"name\": \"SCY\", \"id\": 6}, {\"name\": \"YNA\", \"id\": 7}, {\"name\": \"PLQ\", \"id\": 8}], \"links\": [{\"weight\": 18919, \"source\": 0, \"target\": 6}, {\"weight\": 14124, \"source\": 0, \"target\": 5}, {\"weight\": 9662, \"source\": 0, \"target\": 8}, {\"weight\": 12454, \"source\": 0, \"target\": 1}, {\"weight\": 11342, \"source\": 0, \"target\": 3}, {\"weight\": 3851, \"source\": 0, \"target\": 2}, {\"weight\": 15097, \"source\": 0, \"target\": 7}, {\"weight\": 11701, \"source\": 0, \"target\": 4}, {\"weight\": 7169, \"source\": 1, \"target\": 6}, {\"weight\": 4242, \"source\": 1, \"target\": 5}, {\"weight\": 8992, \"source\": 1, \"target\": 8}, {\"weight\": 8184, \"source\": 1, \"target\": 3}, {\"weight\": 9628, \"source\": 1, \"target\": 2}, {\"weight\": 4407, \"source\": 1, \"target\": 7}, {\"weight\": 1389, \"source\": 1, \"target\": 4}, {\"weight\": 16140, \"source\": 2, \"target\": 6}, {\"weight\": 11413, \"source\": 2, \"target\": 5}, {\"weight\": 9135, \"source\": 2, \"target\": 8}, {\"weight\": 10590, \"source\": 2, \"target\": 3}, {\"weight\": 12832, \"source\": 2, \"target\": 7}, {\"weight\": 8918, \"source\": 2, \"target\": 4}, {\"weight\": 10814, \"source\": 3, \"target\": 6}, {\"weight\": 9182, \"source\": 3, \"target\": 5}, {\"weight\": 1762, \"source\": 3, \"target\": 8}, {\"weight\": 5158, \"source\": 3, \"target\": 7}, {\"weight\": 8525, \"source\": 3, \"target\": 4}, {\"weight\": 7472, \"source\": 4, \"target\": 6}, {\"weight\": 4534, \"source\": 4, \"target\": 5}, {\"weight\": 9448, \"source\": 4, \"target\": 8}, {\"weight\": 5285, \"source\": 4, \"target\": 7}, {\"weight\": 10563, \"source\": 5, \"target\": 6}, {\"weight\": 9990, \"source\": 5, \"target\": 8}, {\"weight\": 5665, \"source\": 5, \"target\": 7}, {\"weight\": 12052, \"source\": 6, \"target\": 8}, {\"weight\": 7459, \"source\": 6, \"target\": 7}, {\"weight\": 6139, \"source\": 7, \"target\": 8}]}",
"id": 2028,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, IDA, TTJ, BLK, MOD, YPC, SCY, YNA, PLQ\n- Travel distances (in kilometers) between each pair of airports:\nKLO to SCY: 18919\nKLO to YPC: 14124\nKLO to PLQ: 9662\nKLO to IDA: 12454\nKLO to BLK: 11342\nKLO to TTJ: 3851\nKLO to YNA: 15097\nKLO to MOD: 11701\nIDA to SCY: 7169\nIDA to YPC: 4242\nIDA to PLQ: 8992\nIDA to BLK: 8184\nIDA to TTJ: 9628\nIDA to YNA: 4407\nIDA to MOD: 1389\nTTJ to SCY: 16140\nTTJ to YPC: 11413\nTTJ to PLQ: 9135\nTTJ to BLK: 10590\nTTJ to YNA: 12832\nTTJ to MOD: 8918\nBLK to SCY: 10814\nBLK to YPC: 9182\nBLK to PLQ: 1762\nBLK to YNA: 5158\nBLK to MOD: 8525\nMOD to SCY: 7472\nMOD to YPC: 4534\nMOD to PLQ: 9448\nMOD to YNA: 5285\nYPC to SCY: 10563\nYPC to PLQ: 9990\nYPC to YNA: 5665\nSCY to PLQ: 12052\nSCY to YNA: 7459\nYNA to PLQ: 6139\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EJA, YBG, SXB, LVI, IXS, SHW, GLV, CVU, ORB\n- Travel distances (in kilometers) between each pair of airports:\nEJA to GLV: 9934\nEJA to IXS: 17111\nEJA to SXB: 9281\nEJA to YBG: 5147\nEJA to LVI: 12992\nEJA to ORB: 10230\nEJA to CVU: 8463\nEJA to SHW: 13600\nYBG to GLV: 6792\nYBG to IXS: 13677\nYBG to SXB: 6046\nYBG to LVI: 13305\nYBG to ORB: 6911\nYBG to CVU: 5152\nYBG to SHW: 10847\nSXB to GLV: 11476\nSXB to IXS: 7913\nSXB to LVI: 8638\nSXB to ORB: 1721\nSXB to CVU: 3466\nSXB to SHW: 5149\nLVI to GLV: 19204\nLVI to IXS: 8919\nLVI to ORB: 9340\nLVI to CVU: 9801\nLVI to SHW: 5695\nIXS to GLV: 15896\nIXS to ORB: 8029\nIXS to CVU: 11238\nIXS to SHW: 5516\nSHW to GLV: 16389\nSHW to ORB: 5682\nSHW to CVU: 7836\nGLV to ORB: 11475\nGLV to CVU: 11008\nCVU to ORB: 4587\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59297,
"style": "rule"
}
|
{
"exact_answer": 59297,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EJA\", \"id\": 0}, {\"name\": \"YBG\", \"id\": 1}, {\"name\": \"SXB\", \"id\": 2}, {\"name\": \"LVI\", \"id\": 3}, {\"name\": \"IXS\", \"id\": 4}, {\"name\": \"SHW\", \"id\": 5}, {\"name\": \"GLV\", \"id\": 6}, {\"name\": \"CVU\", \"id\": 7}, {\"name\": \"ORB\", \"id\": 8}], \"links\": [{\"weight\": 9934, \"source\": 0, \"target\": 6}, {\"weight\": 17111, \"source\": 0, \"target\": 4}, {\"weight\": 9281, \"source\": 0, \"target\": 2}, {\"weight\": 5147, \"source\": 0, \"target\": 1}, {\"weight\": 12992, \"source\": 0, \"target\": 3}, {\"weight\": 10230, \"source\": 0, \"target\": 8}, {\"weight\": 8463, \"source\": 0, \"target\": 7}, {\"weight\": 13600, \"source\": 0, \"target\": 5}, {\"weight\": 6792, \"source\": 1, \"target\": 6}, {\"weight\": 13677, \"source\": 1, \"target\": 4}, {\"weight\": 6046, \"source\": 1, \"target\": 2}, {\"weight\": 13305, \"source\": 1, \"target\": 3}, {\"weight\": 6911, \"source\": 1, \"target\": 8}, {\"weight\": 5152, \"source\": 1, \"target\": 7}, {\"weight\": 10847, \"source\": 1, \"target\": 5}, {\"weight\": 11476, \"source\": 2, \"target\": 6}, {\"weight\": 7913, \"source\": 2, \"target\": 4}, {\"weight\": 8638, \"source\": 2, \"target\": 3}, {\"weight\": 1721, \"source\": 2, \"target\": 8}, {\"weight\": 3466, \"source\": 2, \"target\": 7}, {\"weight\": 5149, \"source\": 2, \"target\": 5}, {\"weight\": 19204, \"source\": 3, \"target\": 6}, {\"weight\": 8919, \"source\": 3, \"target\": 4}, {\"weight\": 9340, \"source\": 3, \"target\": 8}, {\"weight\": 9801, \"source\": 3, \"target\": 7}, {\"weight\": 5695, \"source\": 3, \"target\": 5}, {\"weight\": 15896, \"source\": 4, \"target\": 6}, {\"weight\": 8029, \"source\": 4, \"target\": 8}, {\"weight\": 11238, \"source\": 4, \"target\": 7}, {\"weight\": 5516, \"source\": 4, \"target\": 5}, {\"weight\": 16389, \"source\": 5, \"target\": 6}, {\"weight\": 5682, \"source\": 5, \"target\": 8}, {\"weight\": 7836, \"source\": 5, \"target\": 7}, {\"weight\": 11475, \"source\": 6, \"target\": 8}, {\"weight\": 11008, \"source\": 6, \"target\": 7}, {\"weight\": 4587, \"source\": 7, \"target\": 8}]}",
"id": 2029,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EJA, YBG, SXB, LVI, IXS, SHW, GLV, CVU, ORB\n- Travel distances (in kilometers) between each pair of airports:\nEJA to GLV: 9934\nEJA to IXS: 17111\nEJA to SXB: 9281\nEJA to YBG: 5147\nEJA to LVI: 12992\nEJA to ORB: 10230\nEJA to CVU: 8463\nEJA to SHW: 13600\nYBG to GLV: 6792\nYBG to IXS: 13677\nYBG to SXB: 6046\nYBG to LVI: 13305\nYBG to ORB: 6911\nYBG to CVU: 5152\nYBG to SHW: 10847\nSXB to GLV: 11476\nSXB to IXS: 7913\nSXB to LVI: 8638\nSXB to ORB: 1721\nSXB to CVU: 3466\nSXB to SHW: 5149\nLVI to GLV: 19204\nLVI to IXS: 8919\nLVI to ORB: 9340\nLVI to CVU: 9801\nLVI to SHW: 5695\nIXS to GLV: 15896\nIXS to ORB: 8029\nIXS to CVU: 11238\nIXS to SHW: 5516\nSHW to GLV: 16389\nSHW to ORB: 5682\nSHW to CVU: 7836\nGLV to ORB: 11475\nGLV to CVU: 11008\nCVU to ORB: 4587\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CFC, ZAM, ROK, CHO, LEJ, MJN, NDB, WIN, NJF\n- Travel distances (in kilometers) between each pair of airports:\nCFC to ZAM: 19532\nCFC to LEJ: 10674\nCFC to CHO: 8279\nCFC to ROK: 14903\nCFC to NJF: 12126\nCFC to NDB: 6947\nCFC to MJN: 10525\nCFC to WIN: 15545\nZAM to LEJ: 10851\nZAM to CHO: 14678\nZAM to ROK: 5547\nZAM to NJF: 8928\nZAM to NDB: 15009\nZAM to MJN: 9926\nZAM to WIN: 5453\nROK to LEJ: 15316\nROK to CHO: 15761\nROK to NJF: 12945\nROK to NDB: 19474\nROK to MJN: 11462\nROK to WIN: 1124\nCHO to LEJ: 6852\nCHO to NJF: 10245\nCHO to NDB: 6956\nCHO to MJN: 14472\nCHO to WIN: 16403\nLEJ to NJF: 3429\nLEJ to NDB: 4278\nLEJ to MJN: 8293\nLEJ to WIN: 15222\nMJN to NJF: 5649\nMJN to NDB: 8333\nMJN to WIN: 11567\nNDB to NJF: 6570\nNDB to WIN: 19380\nWIN to NJF: 12851\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59997,
"style": "rule"
}
|
{
"exact_answer": 59997,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CFC\", \"id\": 0}, {\"name\": \"ZAM\", \"id\": 1}, {\"name\": \"ROK\", \"id\": 2}, {\"name\": \"CHO\", \"id\": 3}, {\"name\": \"LEJ\", \"id\": 4}, {\"name\": \"MJN\", \"id\": 5}, {\"name\": \"NDB\", \"id\": 6}, {\"name\": \"WIN\", \"id\": 7}, {\"name\": \"NJF\", \"id\": 8}], \"links\": [{\"weight\": 19532, \"source\": 0, \"target\": 1}, {\"weight\": 10674, \"source\": 0, \"target\": 4}, {\"weight\": 8279, \"source\": 0, \"target\": 3}, {\"weight\": 14903, \"source\": 0, \"target\": 2}, {\"weight\": 12126, \"source\": 0, \"target\": 8}, {\"weight\": 6947, \"source\": 0, \"target\": 6}, {\"weight\": 10525, \"source\": 0, \"target\": 5}, {\"weight\": 15545, \"source\": 0, \"target\": 7}, {\"weight\": 10851, \"source\": 1, \"target\": 4}, {\"weight\": 14678, \"source\": 1, \"target\": 3}, {\"weight\": 5547, \"source\": 1, \"target\": 2}, {\"weight\": 8928, \"source\": 1, \"target\": 8}, {\"weight\": 15009, \"source\": 1, \"target\": 6}, {\"weight\": 9926, \"source\": 1, \"target\": 5}, {\"weight\": 5453, \"source\": 1, \"target\": 7}, {\"weight\": 15316, \"source\": 2, \"target\": 4}, {\"weight\": 15761, \"source\": 2, \"target\": 3}, {\"weight\": 12945, \"source\": 2, \"target\": 8}, {\"weight\": 19474, \"source\": 2, \"target\": 6}, {\"weight\": 11462, \"source\": 2, \"target\": 5}, {\"weight\": 1124, \"source\": 2, \"target\": 7}, {\"weight\": 6852, \"source\": 3, \"target\": 4}, {\"weight\": 10245, \"source\": 3, \"target\": 8}, {\"weight\": 6956, \"source\": 3, \"target\": 6}, {\"weight\": 14472, \"source\": 3, \"target\": 5}, {\"weight\": 16403, \"source\": 3, \"target\": 7}, {\"weight\": 3429, \"source\": 4, \"target\": 8}, {\"weight\": 4278, \"source\": 4, \"target\": 6}, {\"weight\": 8293, \"source\": 4, \"target\": 5}, {\"weight\": 15222, \"source\": 4, \"target\": 7}, {\"weight\": 5649, \"source\": 5, \"target\": 8}, {\"weight\": 8333, \"source\": 5, \"target\": 6}, {\"weight\": 11567, \"source\": 5, \"target\": 7}, {\"weight\": 6570, \"source\": 6, \"target\": 8}, {\"weight\": 19380, \"source\": 6, \"target\": 7}, {\"weight\": 12851, \"source\": 7, \"target\": 8}]}",
"id": 2030,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CFC, ZAM, ROK, CHO, LEJ, MJN, NDB, WIN, NJF\n- Travel distances (in kilometers) between each pair of airports:\nCFC to ZAM: 19532\nCFC to LEJ: 10674\nCFC to CHO: 8279\nCFC to ROK: 14903\nCFC to NJF: 12126\nCFC to NDB: 6947\nCFC to MJN: 10525\nCFC to WIN: 15545\nZAM to LEJ: 10851\nZAM to CHO: 14678\nZAM to ROK: 5547\nZAM to NJF: 8928\nZAM to NDB: 15009\nZAM to MJN: 9926\nZAM to WIN: 5453\nROK to LEJ: 15316\nROK to CHO: 15761\nROK to NJF: 12945\nROK to NDB: 19474\nROK to MJN: 11462\nROK to WIN: 1124\nCHO to LEJ: 6852\nCHO to NJF: 10245\nCHO to NDB: 6956\nCHO to MJN: 14472\nCHO to WIN: 16403\nLEJ to NJF: 3429\nLEJ to NDB: 4278\nLEJ to MJN: 8293\nLEJ to WIN: 15222\nMJN to NJF: 5649\nMJN to NDB: 8333\nMJN to WIN: 11567\nNDB to NJF: 6570\nNDB to WIN: 19380\nWIN to NJF: 12851\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNP, AAX, URJ, KZI, DLC, NVI, ULO, VAS, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nCNP to NVI: 8923\nCNP to DLC: 12119\nCNP to URJ: 7903\nCNP to SRQ: 8767\nCNP to AAX: 14019\nCNP to ULO: 11976\nCNP to KZI: 7334\nCNP to VAS: 7569\nAAX to NVI: 14300\nAAX to DLC: 17888\nAAX to URJ: 13539\nAAX to SRQ: 8558\nAAX to ULO: 17393\nAAX to KZI: 10834\nAAX to VAS: 11588\nURJ to NVI: 2490\nURJ to DLC: 4727\nURJ to SRQ: 10816\nURJ to ULO: 5646\nURJ to KZI: 4172\nURJ to VAS: 4003\nKZI to NVI: 4573\nKZI to DLC: 8372\nKZI to SRQ: 9927\nKZI to ULO: 8231\nKZI to VAS: 1459\nDLC to NVI: 4752\nDLC to SRQ: 12664\nDLC to ULO: 2703\nDLC to VAS: 8241\nNVI to SRQ: 11836\nNVI to ULO: 4493\nNVI to VAS: 4364\nULO to SRQ: 14517\nULO to VAS: 8001\nVAS to SRQ: 10419\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53808,
"style": "rule"
}
|
{
"exact_answer": 53808,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CNP\", \"id\": 0}, {\"name\": \"AAX\", \"id\": 1}, {\"name\": \"URJ\", \"id\": 2}, {\"name\": \"KZI\", \"id\": 3}, {\"name\": \"DLC\", \"id\": 4}, {\"name\": \"NVI\", \"id\": 5}, {\"name\": \"ULO\", \"id\": 6}, {\"name\": \"VAS\", \"id\": 7}, {\"name\": \"SRQ\", \"id\": 8}], \"links\": [{\"weight\": 8923, \"source\": 0, \"target\": 5}, {\"weight\": 12119, \"source\": 0, \"target\": 4}, {\"weight\": 7903, \"source\": 0, \"target\": 2}, {\"weight\": 8767, \"source\": 0, \"target\": 8}, {\"weight\": 14019, \"source\": 0, \"target\": 1}, {\"weight\": 11976, \"source\": 0, \"target\": 6}, {\"weight\": 7334, \"source\": 0, \"target\": 3}, {\"weight\": 7569, \"source\": 0, \"target\": 7}, {\"weight\": 14300, \"source\": 1, \"target\": 5}, {\"weight\": 17888, \"source\": 1, \"target\": 4}, {\"weight\": 13539, \"source\": 1, \"target\": 2}, {\"weight\": 8558, \"source\": 1, \"target\": 8}, {\"weight\": 17393, \"source\": 1, \"target\": 6}, {\"weight\": 10834, \"source\": 1, \"target\": 3}, {\"weight\": 11588, \"source\": 1, \"target\": 7}, {\"weight\": 2490, \"source\": 2, \"target\": 5}, {\"weight\": 4727, \"source\": 2, \"target\": 4}, {\"weight\": 10816, \"source\": 2, \"target\": 8}, {\"weight\": 5646, \"source\": 2, \"target\": 6}, {\"weight\": 4172, \"source\": 2, \"target\": 3}, {\"weight\": 4003, \"source\": 2, \"target\": 7}, {\"weight\": 4573, \"source\": 3, \"target\": 5}, {\"weight\": 8372, \"source\": 3, \"target\": 4}, {\"weight\": 9927, \"source\": 3, \"target\": 8}, {\"weight\": 8231, \"source\": 3, \"target\": 6}, {\"weight\": 1459, \"source\": 3, \"target\": 7}, {\"weight\": 4752, \"source\": 4, \"target\": 5}, {\"weight\": 12664, \"source\": 4, \"target\": 8}, {\"weight\": 2703, \"source\": 4, \"target\": 6}, {\"weight\": 8241, \"source\": 4, \"target\": 7}, {\"weight\": 11836, \"source\": 5, \"target\": 8}, {\"weight\": 4493, \"source\": 5, \"target\": 6}, {\"weight\": 4364, \"source\": 5, \"target\": 7}, {\"weight\": 14517, \"source\": 6, \"target\": 8}, {\"weight\": 8001, \"source\": 6, \"target\": 7}, {\"weight\": 10419, \"source\": 7, \"target\": 8}]}",
"id": 2031,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNP, AAX, URJ, KZI, DLC, NVI, ULO, VAS, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nCNP to NVI: 8923\nCNP to DLC: 12119\nCNP to URJ: 7903\nCNP to SRQ: 8767\nCNP to AAX: 14019\nCNP to ULO: 11976\nCNP to KZI: 7334\nCNP to VAS: 7569\nAAX to NVI: 14300\nAAX to DLC: 17888\nAAX to URJ: 13539\nAAX to SRQ: 8558\nAAX to ULO: 17393\nAAX to KZI: 10834\nAAX to VAS: 11588\nURJ to NVI: 2490\nURJ to DLC: 4727\nURJ to SRQ: 10816\nURJ to ULO: 5646\nURJ to KZI: 4172\nURJ to VAS: 4003\nKZI to NVI: 4573\nKZI to DLC: 8372\nKZI to SRQ: 9927\nKZI to ULO: 8231\nKZI to VAS: 1459\nDLC to NVI: 4752\nDLC to SRQ: 12664\nDLC to ULO: 2703\nDLC to VAS: 8241\nNVI to SRQ: 11836\nNVI to ULO: 4493\nNVI to VAS: 4364\nULO to SRQ: 14517\nULO to VAS: 8001\nVAS to SRQ: 10419\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CBH, ADA, RDD, SVX, WNA, SUV, OLP, AIA, DQA\n- Travel distances (in kilometers) between each pair of airports:\nCBH to SVX: 5566\nCBH to WNA: 12757\nCBH to ADA: 3728\nCBH to DQA: 10913\nCBH to AIA: 9523\nCBH to SUV: 18966\nCBH to OLP: 17416\nCBH to RDD: 11005\nADA to SVX: 2944\nADA to WNA: 13641\nADA to DQA: 8069\nADA to AIA: 10869\nADA to SUV: 15978\nADA to OLP: 13937\nADA to RDD: 11840\nRDD to SVX: 11647\nRDD to WNA: 4334\nRDD to DQA: 10806\nRDD to AIA: 2162\nRDD to SUV: 9405\nRDD to OLP: 13868\nSVX to WNA: 13321\nSVX to DQA: 5356\nSVX to AIA: 10549\nSVX to SUV: 13518\nSVX to OLP: 13093\nWNA to DQA: 12646\nWNA to AIA: 4803\nWNA to SUV: 10353\nWNA to OLP: 14816\nSUV to DQA: 10017\nSUV to AIA: 10687\nSUV to OLP: 4924\nOLP to DQA: 9954\nOLP to AIA: 15346\nAIA to DQA: 11561\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53278,
"style": "rule"
}
|
{
"exact_answer": 53278,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CBH\", \"id\": 0}, {\"name\": \"ADA\", \"id\": 1}, {\"name\": \"RDD\", \"id\": 2}, {\"name\": \"SVX\", \"id\": 3}, {\"name\": \"WNA\", \"id\": 4}, {\"name\": \"SUV\", \"id\": 5}, {\"name\": \"OLP\", \"id\": 6}, {\"name\": \"AIA\", \"id\": 7}, {\"name\": \"DQA\", \"id\": 8}], \"links\": [{\"weight\": 5566, \"source\": 0, \"target\": 3}, {\"weight\": 12757, \"source\": 0, \"target\": 4}, {\"weight\": 3728, \"source\": 0, \"target\": 1}, {\"weight\": 10913, \"source\": 0, \"target\": 8}, {\"weight\": 9523, \"source\": 0, \"target\": 7}, {\"weight\": 18966, \"source\": 0, \"target\": 5}, {\"weight\": 17416, \"source\": 0, \"target\": 6}, {\"weight\": 11005, \"source\": 0, \"target\": 2}, {\"weight\": 2944, \"source\": 1, \"target\": 3}, {\"weight\": 13641, \"source\": 1, \"target\": 4}, {\"weight\": 8069, \"source\": 1, \"target\": 8}, {\"weight\": 10869, \"source\": 1, \"target\": 7}, {\"weight\": 15978, \"source\": 1, \"target\": 5}, {\"weight\": 13937, \"source\": 1, \"target\": 6}, {\"weight\": 11840, \"source\": 1, \"target\": 2}, {\"weight\": 11647, \"source\": 2, \"target\": 3}, {\"weight\": 4334, \"source\": 2, \"target\": 4}, {\"weight\": 10806, \"source\": 2, \"target\": 8}, {\"weight\": 2162, \"source\": 2, \"target\": 7}, {\"weight\": 9405, \"source\": 2, \"target\": 5}, {\"weight\": 13868, \"source\": 2, \"target\": 6}, {\"weight\": 13321, \"source\": 3, \"target\": 4}, {\"weight\": 5356, \"source\": 3, \"target\": 8}, {\"weight\": 10549, \"source\": 3, \"target\": 7}, {\"weight\": 13518, \"source\": 3, \"target\": 5}, {\"weight\": 13093, \"source\": 3, \"target\": 6}, {\"weight\": 12646, \"source\": 4, \"target\": 8}, {\"weight\": 4803, \"source\": 4, \"target\": 7}, {\"weight\": 10353, \"source\": 4, \"target\": 5}, {\"weight\": 14816, \"source\": 4, \"target\": 6}, {\"weight\": 10017, \"source\": 5, \"target\": 8}, {\"weight\": 10687, \"source\": 5, \"target\": 7}, {\"weight\": 4924, \"source\": 5, \"target\": 6}, {\"weight\": 9954, \"source\": 6, \"target\": 8}, {\"weight\": 15346, \"source\": 6, \"target\": 7}, {\"weight\": 11561, \"source\": 7, \"target\": 8}]}",
"id": 2032,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CBH, ADA, RDD, SVX, WNA, SUV, OLP, AIA, DQA\n- Travel distances (in kilometers) between each pair of airports:\nCBH to SVX: 5566\nCBH to WNA: 12757\nCBH to ADA: 3728\nCBH to DQA: 10913\nCBH to AIA: 9523\nCBH to SUV: 18966\nCBH to OLP: 17416\nCBH to RDD: 11005\nADA to SVX: 2944\nADA to WNA: 13641\nADA to DQA: 8069\nADA to AIA: 10869\nADA to SUV: 15978\nADA to OLP: 13937\nADA to RDD: 11840\nRDD to SVX: 11647\nRDD to WNA: 4334\nRDD to DQA: 10806\nRDD to AIA: 2162\nRDD to SUV: 9405\nRDD to OLP: 13868\nSVX to WNA: 13321\nSVX to DQA: 5356\nSVX to AIA: 10549\nSVX to SUV: 13518\nSVX to OLP: 13093\nWNA to DQA: 12646\nWNA to AIA: 4803\nWNA to SUV: 10353\nWNA to OLP: 14816\nSUV to DQA: 10017\nSUV to AIA: 10687\nSUV to OLP: 4924\nOLP to DQA: 9954\nOLP to AIA: 15346\nAIA to DQA: 11561\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNK, OZC, CYP, YHY, BKZ, CTL, POS, KUH, PUY\n- Travel distances (in kilometers) between each pair of airports:\nDNK to OZC: 9718\nDNK to PUY: 1826\nDNK to YHY: 9578\nDNK to POS: 9634\nDNK to KUH: 8135\nDNK to CYP: 9418\nDNK to BKZ: 6212\nDNK to CTL: 14438\nOZC to PUY: 11075\nOZC to YHY: 12552\nOZC to POS: 17892\nOZC to KUH: 4508\nOZC to CYP: 1236\nOZC to BKZ: 10817\nOZC to CTL: 6394\nCYP to PUY: 10775\nCYP to YHY: 12556\nCYP to POS: 17721\nCYP to KUH: 4378\nCYP to BKZ: 10517\nCYP to CTL: 6281\nYHY to PUY: 8867\nYHY to POS: 7325\nYHY to KUH: 10030\nYHY to BKZ: 15121\nYHY to CTL: 14249\nBKZ to PUY: 6580\nBKZ to POS: 13273\nBKZ to KUH: 12176\nBKZ to CTL: 13788\nCTL to PUY: 15981\nCTL to POS: 18153\nCTL to KUH: 8847\nPOS to PUY: 8373\nPOS to KUH: 15370\nKUH to PUY: 9371\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59562,
"style": "rule"
}
|
{
"exact_answer": 59562,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DNK\", \"id\": 0}, {\"name\": \"OZC\", \"id\": 1}, {\"name\": \"CYP\", \"id\": 2}, {\"name\": \"YHY\", \"id\": 3}, {\"name\": \"BKZ\", \"id\": 4}, {\"name\": \"CTL\", \"id\": 5}, {\"name\": \"POS\", \"id\": 6}, {\"name\": \"KUH\", \"id\": 7}, {\"name\": \"PUY\", \"id\": 8}], \"links\": [{\"weight\": 9718, \"source\": 0, \"target\": 1}, {\"weight\": 1826, \"source\": 0, \"target\": 8}, {\"weight\": 9578, \"source\": 0, \"target\": 3}, {\"weight\": 9634, \"source\": 0, \"target\": 6}, {\"weight\": 8135, \"source\": 0, \"target\": 7}, {\"weight\": 9418, \"source\": 0, \"target\": 2}, {\"weight\": 6212, \"source\": 0, \"target\": 4}, {\"weight\": 14438, \"source\": 0, \"target\": 5}, {\"weight\": 11075, \"source\": 1, \"target\": 8}, {\"weight\": 12552, \"source\": 1, \"target\": 3}, {\"weight\": 17892, \"source\": 1, \"target\": 6}, {\"weight\": 4508, \"source\": 1, \"target\": 7}, {\"weight\": 1236, \"source\": 1, \"target\": 2}, {\"weight\": 10817, \"source\": 1, \"target\": 4}, {\"weight\": 6394, \"source\": 1, \"target\": 5}, {\"weight\": 10775, \"source\": 2, \"target\": 8}, {\"weight\": 12556, \"source\": 2, \"target\": 3}, {\"weight\": 17721, \"source\": 2, \"target\": 6}, {\"weight\": 4378, \"source\": 2, \"target\": 7}, {\"weight\": 10517, \"source\": 2, \"target\": 4}, {\"weight\": 6281, \"source\": 2, \"target\": 5}, {\"weight\": 8867, \"source\": 3, \"target\": 8}, {\"weight\": 7325, \"source\": 3, \"target\": 6}, {\"weight\": 10030, \"source\": 3, \"target\": 7}, {\"weight\": 15121, \"source\": 3, \"target\": 4}, {\"weight\": 14249, \"source\": 3, \"target\": 5}, {\"weight\": 6580, \"source\": 4, \"target\": 8}, {\"weight\": 13273, \"source\": 4, \"target\": 6}, {\"weight\": 12176, \"source\": 4, \"target\": 7}, {\"weight\": 13788, \"source\": 4, \"target\": 5}, {\"weight\": 15981, \"source\": 5, \"target\": 8}, {\"weight\": 18153, \"source\": 5, \"target\": 6}, {\"weight\": 8847, \"source\": 5, \"target\": 7}, {\"weight\": 8373, \"source\": 6, \"target\": 8}, {\"weight\": 15370, \"source\": 6, \"target\": 7}, {\"weight\": 9371, \"source\": 7, \"target\": 8}]}",
"id": 2033,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNK, OZC, CYP, YHY, BKZ, CTL, POS, KUH, PUY\n- Travel distances (in kilometers) between each pair of airports:\nDNK to OZC: 9718\nDNK to PUY: 1826\nDNK to YHY: 9578\nDNK to POS: 9634\nDNK to KUH: 8135\nDNK to CYP: 9418\nDNK to BKZ: 6212\nDNK to CTL: 14438\nOZC to PUY: 11075\nOZC to YHY: 12552\nOZC to POS: 17892\nOZC to KUH: 4508\nOZC to CYP: 1236\nOZC to BKZ: 10817\nOZC to CTL: 6394\nCYP to PUY: 10775\nCYP to YHY: 12556\nCYP to POS: 17721\nCYP to KUH: 4378\nCYP to BKZ: 10517\nCYP to CTL: 6281\nYHY to PUY: 8867\nYHY to POS: 7325\nYHY to KUH: 10030\nYHY to BKZ: 15121\nYHY to CTL: 14249\nBKZ to PUY: 6580\nBKZ to POS: 13273\nBKZ to KUH: 12176\nBKZ to CTL: 13788\nCTL to PUY: 15981\nCTL to POS: 18153\nCTL to KUH: 8847\nPOS to PUY: 8373\nPOS to KUH: 15370\nKUH to PUY: 9371\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BBO, QUV, LGA, JST, CXH, PBJ, BFN, AHN, YEG\n- Travel distances (in kilometers) between each pair of airports:\nBBO to YEG: 12840\nBBO to LGA: 11655\nBBO to QUV: 9971\nBBO to CXH: 13965\nBBO to BFN: 4867\nBBO to AHN: 13231\nBBO to PBJ: 15008\nBBO to JST: 12214\nQUV to YEG: 6973\nQUV to LGA: 6222\nQUV to CXH: 8098\nQUV to BFN: 13401\nQUV to AHN: 7642\nQUV to PBJ: 18347\nQUV to JST: 6738\nLGA to YEG: 3261\nLGA to CXH: 4114\nLGA to BFN: 13486\nLGA to AHN: 1616\nLGA to PBJ: 13963\nLGA to JST: 559\nJST to YEG: 3393\nJST to CXH: 4128\nJST to BFN: 13688\nJST to AHN: 1452\nJST to PBJ: 13862\nCXH to YEG: 1132\nCXH to BFN: 17331\nCXH to AHN: 3804\nCXH to PBJ: 10754\nPBJ to YEG: 11374\nPBJ to BFN: 14027\nPBJ to AHN: 13272\nBFN to YEG: 16263\nBFN to AHN: 14694\nAHN to YEG: 3251\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52235,
"style": "rule"
}
|
{
"exact_answer": 52235,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BBO\", \"id\": 0}, {\"name\": \"QUV\", \"id\": 1}, {\"name\": \"LGA\", \"id\": 2}, {\"name\": \"JST\", \"id\": 3}, {\"name\": \"CXH\", \"id\": 4}, {\"name\": \"PBJ\", \"id\": 5}, {\"name\": \"BFN\", \"id\": 6}, {\"name\": \"AHN\", \"id\": 7}, {\"name\": \"YEG\", \"id\": 8}], \"links\": [{\"weight\": 12840, \"source\": 0, \"target\": 8}, {\"weight\": 11655, \"source\": 0, \"target\": 2}, {\"weight\": 9971, \"source\": 0, \"target\": 1}, {\"weight\": 13965, \"source\": 0, \"target\": 4}, {\"weight\": 4867, \"source\": 0, \"target\": 6}, {\"weight\": 13231, \"source\": 0, \"target\": 7}, {\"weight\": 15008, \"source\": 0, \"target\": 5}, {\"weight\": 12214, \"source\": 0, \"target\": 3}, {\"weight\": 6973, \"source\": 1, \"target\": 8}, {\"weight\": 6222, \"source\": 1, \"target\": 2}, {\"weight\": 8098, \"source\": 1, \"target\": 4}, {\"weight\": 13401, \"source\": 1, \"target\": 6}, {\"weight\": 7642, \"source\": 1, \"target\": 7}, {\"weight\": 18347, \"source\": 1, \"target\": 5}, {\"weight\": 6738, \"source\": 1, \"target\": 3}, {\"weight\": 3261, \"source\": 2, \"target\": 8}, {\"weight\": 4114, \"source\": 2, \"target\": 4}, {\"weight\": 13486, \"source\": 2, \"target\": 6}, {\"weight\": 1616, \"source\": 2, \"target\": 7}, {\"weight\": 13963, \"source\": 2, \"target\": 5}, {\"weight\": 559, \"source\": 2, \"target\": 3}, {\"weight\": 3393, \"source\": 3, \"target\": 8}, {\"weight\": 4128, \"source\": 3, \"target\": 4}, {\"weight\": 13688, \"source\": 3, \"target\": 6}, {\"weight\": 1452, \"source\": 3, \"target\": 7}, {\"weight\": 13862, \"source\": 3, \"target\": 5}, {\"weight\": 1132, \"source\": 4, \"target\": 8}, {\"weight\": 17331, \"source\": 4, \"target\": 6}, {\"weight\": 3804, \"source\": 4, \"target\": 7}, {\"weight\": 10754, \"source\": 4, \"target\": 5}, {\"weight\": 11374, \"source\": 5, \"target\": 8}, {\"weight\": 14027, \"source\": 5, \"target\": 6}, {\"weight\": 13272, \"source\": 5, \"target\": 7}, {\"weight\": 16263, \"source\": 6, \"target\": 8}, {\"weight\": 14694, \"source\": 6, \"target\": 7}, {\"weight\": 3251, \"source\": 7, \"target\": 8}]}",
"id": 2034,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BBO, QUV, LGA, JST, CXH, PBJ, BFN, AHN, YEG\n- Travel distances (in kilometers) between each pair of airports:\nBBO to YEG: 12840\nBBO to LGA: 11655\nBBO to QUV: 9971\nBBO to CXH: 13965\nBBO to BFN: 4867\nBBO to AHN: 13231\nBBO to PBJ: 15008\nBBO to JST: 12214\nQUV to YEG: 6973\nQUV to LGA: 6222\nQUV to CXH: 8098\nQUV to BFN: 13401\nQUV to AHN: 7642\nQUV to PBJ: 18347\nQUV to JST: 6738\nLGA to YEG: 3261\nLGA to CXH: 4114\nLGA to BFN: 13486\nLGA to AHN: 1616\nLGA to PBJ: 13963\nLGA to JST: 559\nJST to YEG: 3393\nJST to CXH: 4128\nJST to BFN: 13688\nJST to AHN: 1452\nJST to PBJ: 13862\nCXH to YEG: 1132\nCXH to BFN: 17331\nCXH to AHN: 3804\nCXH to PBJ: 10754\nPBJ to YEG: 11374\nPBJ to BFN: 14027\nPBJ to AHN: 13272\nBFN to YEG: 16263\nBFN to AHN: 14694\nAHN to YEG: 3251\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SGY, IAS, SDF, IKT, CLT, BVB, JIQ, LYC, WDH\n- Travel distances (in kilometers) between each pair of airports:\nSGY to IKT: 11912\nSGY to LYC: 10087\nSGY to JIQ: 11640\nSGY to CLT: 5249\nSGY to SDF: 4803\nSGY to BVB: 10501\nSGY to IAS: 11221\nSGY to WDH: 17360\nIAS to IKT: 6020\nIAS to LYC: 2635\nIAS to JIQ: 7996\nIAS to CLT: 8476\nIAS to SDF: 8564\nIAS to BVB: 11574\nIAS to WDH: 8106\nSDF to CLT: 539\nSDF to IKT: 12150\nSDF to LYC: 7656\nSDF to JIQ: 12395\nSDF to BVB: 6000\nSDF to WDH: 12937\nIKT to LYC: 5674\nIKT to JIQ: 3016\nIKT to CLT: 12192\nIKT to BVB: 16006\nIKT to WDH: 11840\nCLT to LYC: 7698\nCLT to JIQ: 12824\nCLT to BVB: 5582\nCLT to WDH: 12730\nBVB to LYC: 11437\nBVB to JIQ: 18216\nBVB to WDH: 11284\nJIQ to LYC: 7871\nJIQ to WDH: 11595\nLYC to WDH: 9877\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53279,
"style": "rule"
}
|
{
"exact_answer": 53279,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SGY\", \"id\": 0}, {\"name\": \"IAS\", \"id\": 1}, {\"name\": \"SDF\", \"id\": 2}, {\"name\": \"IKT\", \"id\": 3}, {\"name\": \"CLT\", \"id\": 4}, {\"name\": \"BVB\", \"id\": 5}, {\"name\": \"JIQ\", \"id\": 6}, {\"name\": \"LYC\", \"id\": 7}, {\"name\": \"WDH\", \"id\": 8}], \"links\": [{\"weight\": 11912, \"source\": 0, \"target\": 3}, {\"weight\": 10087, \"source\": 0, \"target\": 7}, {\"weight\": 11640, \"source\": 0, \"target\": 6}, {\"weight\": 5249, \"source\": 0, \"target\": 4}, {\"weight\": 4803, \"source\": 0, \"target\": 2}, {\"weight\": 10501, \"source\": 0, \"target\": 5}, {\"weight\": 11221, \"source\": 0, \"target\": 1}, {\"weight\": 17360, \"source\": 0, \"target\": 8}, {\"weight\": 6020, \"source\": 1, \"target\": 3}, {\"weight\": 2635, \"source\": 1, \"target\": 7}, {\"weight\": 7996, \"source\": 1, \"target\": 6}, {\"weight\": 8476, \"source\": 1, \"target\": 4}, {\"weight\": 8564, \"source\": 1, \"target\": 2}, {\"weight\": 11574, \"source\": 1, \"target\": 5}, {\"weight\": 8106, \"source\": 1, \"target\": 8}, {\"weight\": 539, \"source\": 2, \"target\": 4}, {\"weight\": 12150, \"source\": 2, \"target\": 3}, {\"weight\": 7656, \"source\": 2, \"target\": 7}, {\"weight\": 12395, \"source\": 2, \"target\": 6}, {\"weight\": 6000, \"source\": 2, \"target\": 5}, {\"weight\": 12937, \"source\": 2, \"target\": 8}, {\"weight\": 5674, \"source\": 3, \"target\": 7}, {\"weight\": 3016, \"source\": 3, \"target\": 6}, {\"weight\": 12192, \"source\": 3, \"target\": 4}, {\"weight\": 16006, \"source\": 3, \"target\": 5}, {\"weight\": 11840, \"source\": 3, \"target\": 8}, {\"weight\": 7698, \"source\": 4, \"target\": 7}, {\"weight\": 12824, \"source\": 4, \"target\": 6}, {\"weight\": 5582, \"source\": 4, \"target\": 5}, {\"weight\": 12730, \"source\": 4, \"target\": 8}, {\"weight\": 11437, \"source\": 5, \"target\": 7}, {\"weight\": 18216, \"source\": 5, \"target\": 6}, {\"weight\": 11284, \"source\": 5, \"target\": 8}, {\"weight\": 7871, \"source\": 6, \"target\": 7}, {\"weight\": 11595, \"source\": 6, \"target\": 8}, {\"weight\": 9877, \"source\": 7, \"target\": 8}]}",
"id": 2035,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SGY, IAS, SDF, IKT, CLT, BVB, JIQ, LYC, WDH\n- Travel distances (in kilometers) between each pair of airports:\nSGY to IKT: 11912\nSGY to LYC: 10087\nSGY to JIQ: 11640\nSGY to CLT: 5249\nSGY to SDF: 4803\nSGY to BVB: 10501\nSGY to IAS: 11221\nSGY to WDH: 17360\nIAS to IKT: 6020\nIAS to LYC: 2635\nIAS to JIQ: 7996\nIAS to CLT: 8476\nIAS to SDF: 8564\nIAS to BVB: 11574\nIAS to WDH: 8106\nSDF to CLT: 539\nSDF to IKT: 12150\nSDF to LYC: 7656\nSDF to JIQ: 12395\nSDF to BVB: 6000\nSDF to WDH: 12937\nIKT to LYC: 5674\nIKT to JIQ: 3016\nIKT to CLT: 12192\nIKT to BVB: 16006\nIKT to WDH: 11840\nCLT to LYC: 7698\nCLT to JIQ: 12824\nCLT to BVB: 5582\nCLT to WDH: 12730\nBVB to LYC: 11437\nBVB to JIQ: 18216\nBVB to WDH: 11284\nJIQ to LYC: 7871\nJIQ to WDH: 11595\nLYC to WDH: 9877\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TIF, BZG, PDX, PLX, KZO, MQT, OSR, PLQ, MNL\n- Travel distances (in kilometers) between each pair of airports:\nTIF to MNL: 8473\nTIF to PDX: 12593\nTIF to MQT: 11454\nTIF to PLQ: 4451\nTIF to PLX: 5014\nTIF to KZO: 3999\nTIF to BZG: 6043\nTIF to OSR: 4223\nBZG to MNL: 11933\nBZG to PDX: 9099\nBZG to MQT: 7769\nBZG to PLQ: 2647\nBZG to PLX: 6867\nBZG to KZO: 6255\nBZG to OSR: 2481\nPDX to MNL: 10793\nPDX to MQT: 3279\nPDX to PLQ: 8550\nPDX to PLX: 12504\nPDX to KZO: 12147\nPDX to OSR: 9011\nPLX to MNL: 6073\nPLX to MQT: 11559\nPLX to PLQ: 4253\nPLX to KZO: 1624\nPLX to OSR: 5137\nKZO to MNL: 6184\nKZO to MQT: 11183\nKZO to PLQ: 3827\nKZO to OSR: 4330\nMQT to MNL: 13612\nMQT to PLQ: 7605\nMQT to OSR: 7867\nOSR to MNL: 10219\nOSR to PLQ: 1429\nPLQ to MNL: 9315\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41836,
"style": "rule"
}
|
{
"exact_answer": 41836,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TIF\", \"id\": 0}, {\"name\": \"BZG\", \"id\": 1}, {\"name\": \"PDX\", \"id\": 2}, {\"name\": \"PLX\", \"id\": 3}, {\"name\": \"KZO\", \"id\": 4}, {\"name\": \"MQT\", \"id\": 5}, {\"name\": \"OSR\", \"id\": 6}, {\"name\": \"PLQ\", \"id\": 7}, {\"name\": \"MNL\", \"id\": 8}], \"links\": [{\"weight\": 8473, \"source\": 0, \"target\": 8}, {\"weight\": 12593, \"source\": 0, \"target\": 2}, {\"weight\": 11454, \"source\": 0, \"target\": 5}, {\"weight\": 4451, \"source\": 0, \"target\": 7}, {\"weight\": 5014, \"source\": 0, \"target\": 3}, {\"weight\": 3999, \"source\": 0, \"target\": 4}, {\"weight\": 6043, \"source\": 0, \"target\": 1}, {\"weight\": 4223, \"source\": 0, \"target\": 6}, {\"weight\": 11933, \"source\": 1, \"target\": 8}, {\"weight\": 9099, \"source\": 1, \"target\": 2}, {\"weight\": 7769, \"source\": 1, \"target\": 5}, {\"weight\": 2647, \"source\": 1, \"target\": 7}, {\"weight\": 6867, \"source\": 1, \"target\": 3}, {\"weight\": 6255, \"source\": 1, \"target\": 4}, {\"weight\": 2481, \"source\": 1, \"target\": 6}, {\"weight\": 10793, \"source\": 2, \"target\": 8}, {\"weight\": 3279, \"source\": 2, \"target\": 5}, {\"weight\": 8550, \"source\": 2, \"target\": 7}, {\"weight\": 12504, \"source\": 2, \"target\": 3}, {\"weight\": 12147, \"source\": 2, \"target\": 4}, {\"weight\": 9011, \"source\": 2, \"target\": 6}, {\"weight\": 6073, \"source\": 3, \"target\": 8}, {\"weight\": 11559, \"source\": 3, \"target\": 5}, {\"weight\": 4253, \"source\": 3, \"target\": 7}, {\"weight\": 1624, \"source\": 3, \"target\": 4}, {\"weight\": 5137, \"source\": 3, \"target\": 6}, {\"weight\": 6184, \"source\": 4, \"target\": 8}, {\"weight\": 11183, \"source\": 4, \"target\": 5}, {\"weight\": 3827, \"source\": 4, \"target\": 7}, {\"weight\": 4330, \"source\": 4, \"target\": 6}, {\"weight\": 13612, \"source\": 5, \"target\": 8}, {\"weight\": 7605, \"source\": 5, \"target\": 7}, {\"weight\": 7867, \"source\": 5, \"target\": 6}, {\"weight\": 10219, \"source\": 6, \"target\": 8}, {\"weight\": 1429, \"source\": 6, \"target\": 7}, {\"weight\": 9315, \"source\": 7, \"target\": 8}]}",
"id": 2036,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TIF, BZG, PDX, PLX, KZO, MQT, OSR, PLQ, MNL\n- Travel distances (in kilometers) between each pair of airports:\nTIF to MNL: 8473\nTIF to PDX: 12593\nTIF to MQT: 11454\nTIF to PLQ: 4451\nTIF to PLX: 5014\nTIF to KZO: 3999\nTIF to BZG: 6043\nTIF to OSR: 4223\nBZG to MNL: 11933\nBZG to PDX: 9099\nBZG to MQT: 7769\nBZG to PLQ: 2647\nBZG to PLX: 6867\nBZG to KZO: 6255\nBZG to OSR: 2481\nPDX to MNL: 10793\nPDX to MQT: 3279\nPDX to PLQ: 8550\nPDX to PLX: 12504\nPDX to KZO: 12147\nPDX to OSR: 9011\nPLX to MNL: 6073\nPLX to MQT: 11559\nPLX to PLQ: 4253\nPLX to KZO: 1624\nPLX to OSR: 5137\nKZO to MNL: 6184\nKZO to MQT: 11183\nKZO to PLQ: 3827\nKZO to OSR: 4330\nMQT to MNL: 13612\nMQT to PLQ: 7605\nMQT to OSR: 7867\nOSR to MNL: 10219\nOSR to PLQ: 1429\nPLQ to MNL: 9315\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUK, LKH, SDV, AXK, HUN, MVY, ALB, YUT, LUX\n- Travel distances (in kilometers) between each pair of airports:\nFUK to YUT: 11779\nFUK to SDV: 9135\nFUK to MVY: 11811\nFUK to ALB: 11905\nFUK to LUX: 9269\nFUK to HUN: 1628\nFUK to AXK: 9165\nFUK to LKH: 3835\nLKH to YUT: 15402\nLKH to SDV: 9659\nLKH to MVY: 15434\nLKH to ALB: 15386\nLKH to LUX: 11342\nLKH to HUN: 2615\nLKH to AXK: 8502\nSDV to YUT: 11351\nSDV to MVY: 9485\nSDV to ALB: 9605\nSDV to LUX: 3640\nSDV to HUN: 9079\nSDV to AXK: 2953\nAXK to YUT: 13124\nAXK to MVY: 11211\nAXK to ALB: 11331\nAXK to LUX: 5410\nAXK to HUN: 8413\nHUN to YUT: 13231\nHUN to MVY: 13032\nHUN to ALB: 12881\nHUN to LUX: 9749\nMVY to YUT: 3609\nMVY to ALB: 344\nMVY to LUX: 5863\nALB to YUT: 3729\nALB to LUX: 5983\nYUT to LUX: 7720\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41053,
"style": "rule"
}
|
{
"exact_answer": 41053,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FUK\", \"id\": 0}, {\"name\": \"LKH\", \"id\": 1}, {\"name\": \"SDV\", \"id\": 2}, {\"name\": \"AXK\", \"id\": 3}, {\"name\": \"HUN\", \"id\": 4}, {\"name\": \"MVY\", \"id\": 5}, {\"name\": \"ALB\", \"id\": 6}, {\"name\": \"YUT\", \"id\": 7}, {\"name\": \"LUX\", \"id\": 8}], \"links\": [{\"weight\": 11779, \"source\": 0, \"target\": 7}, {\"weight\": 9135, \"source\": 0, \"target\": 2}, {\"weight\": 11811, \"source\": 0, \"target\": 5}, {\"weight\": 11905, \"source\": 0, \"target\": 6}, {\"weight\": 9269, \"source\": 0, \"target\": 8}, {\"weight\": 1628, \"source\": 0, \"target\": 4}, {\"weight\": 9165, \"source\": 0, \"target\": 3}, {\"weight\": 3835, \"source\": 0, \"target\": 1}, {\"weight\": 15402, \"source\": 1, \"target\": 7}, {\"weight\": 9659, \"source\": 1, \"target\": 2}, {\"weight\": 15434, \"source\": 1, \"target\": 5}, {\"weight\": 15386, \"source\": 1, \"target\": 6}, {\"weight\": 11342, \"source\": 1, \"target\": 8}, {\"weight\": 2615, \"source\": 1, \"target\": 4}, {\"weight\": 8502, \"source\": 1, \"target\": 3}, {\"weight\": 11351, \"source\": 2, \"target\": 7}, {\"weight\": 9485, \"source\": 2, \"target\": 5}, {\"weight\": 9605, \"source\": 2, \"target\": 6}, {\"weight\": 3640, \"source\": 2, \"target\": 8}, {\"weight\": 9079, \"source\": 2, \"target\": 4}, {\"weight\": 2953, \"source\": 2, \"target\": 3}, {\"weight\": 13124, \"source\": 3, \"target\": 7}, {\"weight\": 11211, \"source\": 3, \"target\": 5}, {\"weight\": 11331, \"source\": 3, \"target\": 6}, {\"weight\": 5410, \"source\": 3, \"target\": 8}, {\"weight\": 8413, \"source\": 3, \"target\": 4}, {\"weight\": 13231, \"source\": 4, \"target\": 7}, {\"weight\": 13032, \"source\": 4, \"target\": 5}, {\"weight\": 12881, \"source\": 4, \"target\": 6}, {\"weight\": 9749, \"source\": 4, \"target\": 8}, {\"weight\": 3609, \"source\": 5, \"target\": 7}, {\"weight\": 344, \"source\": 5, \"target\": 6}, {\"weight\": 5863, \"source\": 5, \"target\": 8}, {\"weight\": 3729, \"source\": 6, \"target\": 7}, {\"weight\": 5983, \"source\": 6, \"target\": 8}, {\"weight\": 7720, \"source\": 7, \"target\": 8}]}",
"id": 2037,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUK, LKH, SDV, AXK, HUN, MVY, ALB, YUT, LUX\n- Travel distances (in kilometers) between each pair of airports:\nFUK to YUT: 11779\nFUK to SDV: 9135\nFUK to MVY: 11811\nFUK to ALB: 11905\nFUK to LUX: 9269\nFUK to HUN: 1628\nFUK to AXK: 9165\nFUK to LKH: 3835\nLKH to YUT: 15402\nLKH to SDV: 9659\nLKH to MVY: 15434\nLKH to ALB: 15386\nLKH to LUX: 11342\nLKH to HUN: 2615\nLKH to AXK: 8502\nSDV to YUT: 11351\nSDV to MVY: 9485\nSDV to ALB: 9605\nSDV to LUX: 3640\nSDV to HUN: 9079\nSDV to AXK: 2953\nAXK to YUT: 13124\nAXK to MVY: 11211\nAXK to ALB: 11331\nAXK to LUX: 5410\nAXK to HUN: 8413\nHUN to YUT: 13231\nHUN to MVY: 13032\nHUN to ALB: 12881\nHUN to LUX: 9749\nMVY to YUT: 3609\nMVY to ALB: 344\nMVY to LUX: 5863\nALB to YUT: 3729\nALB to LUX: 5983\nYUT to LUX: 7720\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, GZP, PJM, INV, SRY, JUL, BBN, KUF, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nBDH to PJM: 14291\nBDH to KUF: 3321\nBDH to GZP: 3235\nBDH to JUL: 15300\nBDH to SRY: 1190\nBDH to INV: 5910\nBDH to BBN: 7158\nBDH to MAJ: 12695\nGZP to PJM: 11997\nGZP to KUF: 2771\nGZP to JUL: 13321\nGZP to SRY: 3664\nGZP to INV: 3616\nGZP to BBN: 9805\nGZP to MAJ: 14650\nPJM to KUF: 12034\nPJM to JUL: 3603\nPJM to SRY: 14424\nPJM to INV: 9168\nPJM to BBN: 17858\nPJM to MAJ: 12298\nINV to KUF: 3581\nINV to JUL: 11614\nINV to SRY: 6043\nINV to BBN: 12001\nINV to MAJ: 15316\nSRY to KUF: 3615\nSRY to JUL: 15642\nSRY to BBN: 7576\nSRY to MAJ: 12789\nJUL to KUF: 14226\nJUL to BBN: 20362\nJUL to MAJ: 15285\nBBN to KUF: 8466\nBBN to MAJ: 7334\nKUF to MAJ: 12452\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53199,
"style": "rule"
}
|
{
"exact_answer": 53199,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BDH\", \"id\": 0}, {\"name\": \"GZP\", \"id\": 1}, {\"name\": \"PJM\", \"id\": 2}, {\"name\": \"INV\", \"id\": 3}, {\"name\": \"SRY\", \"id\": 4}, {\"name\": \"JUL\", \"id\": 5}, {\"name\": \"BBN\", \"id\": 6}, {\"name\": \"KUF\", \"id\": 7}, {\"name\": \"MAJ\", \"id\": 8}], \"links\": [{\"weight\": 14291, \"source\": 0, \"target\": 2}, {\"weight\": 3321, \"source\": 0, \"target\": 7}, {\"weight\": 3235, \"source\": 0, \"target\": 1}, {\"weight\": 15300, \"source\": 0, \"target\": 5}, {\"weight\": 1190, \"source\": 0, \"target\": 4}, {\"weight\": 5910, \"source\": 0, \"target\": 3}, {\"weight\": 7158, \"source\": 0, \"target\": 6}, {\"weight\": 12695, \"source\": 0, \"target\": 8}, {\"weight\": 11997, \"source\": 1, \"target\": 2}, {\"weight\": 2771, \"source\": 1, \"target\": 7}, {\"weight\": 13321, \"source\": 1, \"target\": 5}, {\"weight\": 3664, \"source\": 1, \"target\": 4}, {\"weight\": 3616, \"source\": 1, \"target\": 3}, {\"weight\": 9805, \"source\": 1, \"target\": 6}, {\"weight\": 14650, \"source\": 1, \"target\": 8}, {\"weight\": 12034, \"source\": 2, \"target\": 7}, {\"weight\": 3603, \"source\": 2, \"target\": 5}, {\"weight\": 14424, \"source\": 2, \"target\": 4}, {\"weight\": 9168, \"source\": 2, \"target\": 3}, {\"weight\": 17858, \"source\": 2, \"target\": 6}, {\"weight\": 12298, \"source\": 2, \"target\": 8}, {\"weight\": 3581, \"source\": 3, \"target\": 7}, {\"weight\": 11614, \"source\": 3, \"target\": 5}, {\"weight\": 6043, \"source\": 3, \"target\": 4}, {\"weight\": 12001, \"source\": 3, \"target\": 6}, {\"weight\": 15316, \"source\": 3, \"target\": 8}, {\"weight\": 3615, \"source\": 4, \"target\": 7}, {\"weight\": 15642, \"source\": 4, \"target\": 5}, {\"weight\": 7576, \"source\": 4, \"target\": 6}, {\"weight\": 12789, \"source\": 4, \"target\": 8}, {\"weight\": 14226, \"source\": 5, \"target\": 7}, {\"weight\": 20362, \"source\": 5, \"target\": 6}, {\"weight\": 15285, \"source\": 5, \"target\": 8}, {\"weight\": 8466, \"source\": 6, \"target\": 7}, {\"weight\": 7334, \"source\": 6, \"target\": 8}, {\"weight\": 12452, \"source\": 7, \"target\": 8}]}",
"id": 2038,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, GZP, PJM, INV, SRY, JUL, BBN, KUF, MAJ\n- Travel distances (in kilometers) between each pair of airports:\nBDH to PJM: 14291\nBDH to KUF: 3321\nBDH to GZP: 3235\nBDH to JUL: 15300\nBDH to SRY: 1190\nBDH to INV: 5910\nBDH to BBN: 7158\nBDH to MAJ: 12695\nGZP to PJM: 11997\nGZP to KUF: 2771\nGZP to JUL: 13321\nGZP to SRY: 3664\nGZP to INV: 3616\nGZP to BBN: 9805\nGZP to MAJ: 14650\nPJM to KUF: 12034\nPJM to JUL: 3603\nPJM to SRY: 14424\nPJM to INV: 9168\nPJM to BBN: 17858\nPJM to MAJ: 12298\nINV to KUF: 3581\nINV to JUL: 11614\nINV to SRY: 6043\nINV to BBN: 12001\nINV to MAJ: 15316\nSRY to KUF: 3615\nSRY to JUL: 15642\nSRY to BBN: 7576\nSRY to MAJ: 12789\nJUL to KUF: 14226\nJUL to BBN: 20362\nJUL to MAJ: 15285\nBBN to KUF: 8466\nBBN to MAJ: 7334\nKUF to MAJ: 12452\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ENH, CFR, LSC, PEC, VLN, KWI, ATZ, QFG, LGQ\n- Travel distances (in kilometers) between each pair of airports:\nENH to VLN: 15939\nENH to KWI: 6911\nENH to CFR: 9632\nENH to LGQ: 17035\nENH to ATZ: 8589\nENH to QFG: 11891\nENH to LSC: 20283\nENH to PEC: 11691\nCFR to VLN: 8072\nCFR to KWI: 4621\nCFR to LGQ: 9751\nCFR to ATZ: 3768\nCFR to QFG: 4406\nCFR to LSC: 12011\nCFR to PEC: 9847\nLSC to VLN: 5250\nLSC to KWI: 14773\nLSC to LGQ: 3685\nLSC to ATZ: 13638\nLSC to QFG: 14061\nLSC to PEC: 11783\nPEC to VLN: 8120\nPEC to KWI: 13686\nPEC to LGQ: 8556\nPEC to ATZ: 13026\nPEC to QFG: 9311\nVLN to KWI: 12269\nVLN to LGQ: 2165\nVLN to ATZ: 11171\nVLN to QFG: 9422\nKWI to ATZ: 1678\nKWI to LGQ: 13728\nKWI to QFG: 8241\nATZ to LGQ: 12569\nATZ to QFG: 7581\nQFG to LGQ: 10808\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55367,
"style": "rule"
}
|
{
"exact_answer": 55367,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ENH\", \"id\": 0}, {\"name\": \"CFR\", \"id\": 1}, {\"name\": \"LSC\", \"id\": 2}, {\"name\": \"PEC\", \"id\": 3}, {\"name\": \"VLN\", \"id\": 4}, {\"name\": \"KWI\", \"id\": 5}, {\"name\": \"ATZ\", \"id\": 6}, {\"name\": \"QFG\", \"id\": 7}, {\"name\": \"LGQ\", \"id\": 8}], \"links\": [{\"weight\": 15939, \"source\": 0, \"target\": 4}, {\"weight\": 6911, \"source\": 0, \"target\": 5}, {\"weight\": 9632, \"source\": 0, \"target\": 1}, {\"weight\": 17035, \"source\": 0, \"target\": 8}, {\"weight\": 8589, \"source\": 0, \"target\": 6}, {\"weight\": 11891, \"source\": 0, \"target\": 7}, {\"weight\": 20283, \"source\": 0, \"target\": 2}, {\"weight\": 11691, \"source\": 0, \"target\": 3}, {\"weight\": 8072, \"source\": 1, \"target\": 4}, {\"weight\": 4621, \"source\": 1, \"target\": 5}, {\"weight\": 9751, \"source\": 1, \"target\": 8}, {\"weight\": 3768, \"source\": 1, \"target\": 6}, {\"weight\": 4406, \"source\": 1, \"target\": 7}, {\"weight\": 12011, \"source\": 1, \"target\": 2}, {\"weight\": 9847, \"source\": 1, \"target\": 3}, {\"weight\": 5250, \"source\": 2, \"target\": 4}, {\"weight\": 14773, \"source\": 2, \"target\": 5}, {\"weight\": 3685, \"source\": 2, \"target\": 8}, {\"weight\": 13638, \"source\": 2, \"target\": 6}, {\"weight\": 14061, \"source\": 2, \"target\": 7}, {\"weight\": 11783, \"source\": 2, \"target\": 3}, {\"weight\": 8120, \"source\": 3, \"target\": 4}, {\"weight\": 13686, \"source\": 3, \"target\": 5}, {\"weight\": 8556, \"source\": 3, \"target\": 8}, {\"weight\": 13026, \"source\": 3, \"target\": 6}, {\"weight\": 9311, \"source\": 3, \"target\": 7}, {\"weight\": 12269, \"source\": 4, \"target\": 5}, {\"weight\": 2165, \"source\": 4, \"target\": 8}, {\"weight\": 11171, \"source\": 4, \"target\": 6}, {\"weight\": 9422, \"source\": 4, \"target\": 7}, {\"weight\": 1678, \"source\": 5, \"target\": 6}, {\"weight\": 13728, \"source\": 5, \"target\": 8}, {\"weight\": 8241, \"source\": 5, \"target\": 7}, {\"weight\": 12569, \"source\": 6, \"target\": 8}, {\"weight\": 7581, \"source\": 6, \"target\": 7}, {\"weight\": 10808, \"source\": 7, \"target\": 8}]}",
"id": 2039,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ENH, CFR, LSC, PEC, VLN, KWI, ATZ, QFG, LGQ\n- Travel distances (in kilometers) between each pair of airports:\nENH to VLN: 15939\nENH to KWI: 6911\nENH to CFR: 9632\nENH to LGQ: 17035\nENH to ATZ: 8589\nENH to QFG: 11891\nENH to LSC: 20283\nENH to PEC: 11691\nCFR to VLN: 8072\nCFR to KWI: 4621\nCFR to LGQ: 9751\nCFR to ATZ: 3768\nCFR to QFG: 4406\nCFR to LSC: 12011\nCFR to PEC: 9847\nLSC to VLN: 5250\nLSC to KWI: 14773\nLSC to LGQ: 3685\nLSC to ATZ: 13638\nLSC to QFG: 14061\nLSC to PEC: 11783\nPEC to VLN: 8120\nPEC to KWI: 13686\nPEC to LGQ: 8556\nPEC to ATZ: 13026\nPEC to QFG: 9311\nVLN to KWI: 12269\nVLN to LGQ: 2165\nVLN to ATZ: 11171\nVLN to QFG: 9422\nKWI to ATZ: 1678\nKWI to LGQ: 13728\nKWI to QFG: 8241\nATZ to LGQ: 12569\nATZ to QFG: 7581\nQFG to LGQ: 10808\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ALO, HOI, ENY, LIS, PER, TTU, DVO, DLH, ORB\n- Travel distances (in kilometers) between each pair of airports:\nALO to PER: 18316\nALO to LIS: 6810\nALO to DVO: 14125\nALO to TTU: 7573\nALO to ENY: 11659\nALO to DLH: 1013\nALO to ORB: 7738\nALO to HOI: 10704\nHOI to PER: 10321\nHOI to LIS: 16735\nHOI to DVO: 12545\nHOI to TTU: 17498\nHOI to ENY: 13217\nHOI to DLH: 10151\nHOI to ORB: 17129\nENY to PER: 7718\nENY to LIS: 9980\nENY to DVO: 3798\nENY to TTU: 10650\nENY to DLH: 11750\nENY to ORB: 7935\nLIS to PER: 15148\nLIS to DVO: 13108\nLIS to TTU: 940\nLIS to DLH: 6991\nLIS to ORB: 3001\nPER to DVO: 5539\nPER to TTU: 15385\nPER to DLH: 17763\nPER to ORB: 14241\nTTU to DVO: 13687\nTTU to DLH: 7754\nTTU to ORB: 3699\nDVO to DLH: 13461\nDVO to ORB: 11190\nDLH to ORB: 7983\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50206,
"style": "rule"
}
|
{
"exact_answer": 50206,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ALO\", \"id\": 0}, {\"name\": \"HOI\", \"id\": 1}, {\"name\": \"ENY\", \"id\": 2}, {\"name\": \"LIS\", \"id\": 3}, {\"name\": \"PER\", \"id\": 4}, {\"name\": \"TTU\", \"id\": 5}, {\"name\": \"DVO\", \"id\": 6}, {\"name\": \"DLH\", \"id\": 7}, {\"name\": \"ORB\", \"id\": 8}], \"links\": [{\"weight\": 18316, \"source\": 0, \"target\": 4}, {\"weight\": 6810, \"source\": 0, \"target\": 3}, {\"weight\": 14125, \"source\": 0, \"target\": 6}, {\"weight\": 7573, \"source\": 0, \"target\": 5}, {\"weight\": 11659, \"source\": 0, \"target\": 2}, {\"weight\": 1013, \"source\": 0, \"target\": 7}, {\"weight\": 7738, \"source\": 0, \"target\": 8}, {\"weight\": 10704, \"source\": 0, \"target\": 1}, {\"weight\": 10321, \"source\": 1, \"target\": 4}, {\"weight\": 16735, \"source\": 1, \"target\": 3}, {\"weight\": 12545, \"source\": 1, \"target\": 6}, {\"weight\": 17498, \"source\": 1, \"target\": 5}, {\"weight\": 13217, \"source\": 1, \"target\": 2}, {\"weight\": 10151, \"source\": 1, \"target\": 7}, {\"weight\": 17129, \"source\": 1, \"target\": 8}, {\"weight\": 7718, \"source\": 2, \"target\": 4}, {\"weight\": 9980, \"source\": 2, \"target\": 3}, {\"weight\": 3798, \"source\": 2, \"target\": 6}, {\"weight\": 10650, \"source\": 2, \"target\": 5}, {\"weight\": 11750, \"source\": 2, \"target\": 7}, {\"weight\": 7935, \"source\": 2, \"target\": 8}, {\"weight\": 15148, \"source\": 3, \"target\": 4}, {\"weight\": 13108, \"source\": 3, \"target\": 6}, {\"weight\": 940, \"source\": 3, \"target\": 5}, {\"weight\": 6991, \"source\": 3, \"target\": 7}, {\"weight\": 3001, \"source\": 3, \"target\": 8}, {\"weight\": 5539, \"source\": 4, \"target\": 6}, {\"weight\": 15385, \"source\": 4, \"target\": 5}, {\"weight\": 17763, \"source\": 4, \"target\": 7}, {\"weight\": 14241, \"source\": 4, \"target\": 8}, {\"weight\": 13687, \"source\": 5, \"target\": 6}, {\"weight\": 7754, \"source\": 5, \"target\": 7}, {\"weight\": 3699, \"source\": 5, \"target\": 8}, {\"weight\": 13461, \"source\": 6, \"target\": 7}, {\"weight\": 11190, \"source\": 6, \"target\": 8}, {\"weight\": 7983, \"source\": 7, \"target\": 8}]}",
"id": 2040,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ALO, HOI, ENY, LIS, PER, TTU, DVO, DLH, ORB\n- Travel distances (in kilometers) between each pair of airports:\nALO to PER: 18316\nALO to LIS: 6810\nALO to DVO: 14125\nALO to TTU: 7573\nALO to ENY: 11659\nALO to DLH: 1013\nALO to ORB: 7738\nALO to HOI: 10704\nHOI to PER: 10321\nHOI to LIS: 16735\nHOI to DVO: 12545\nHOI to TTU: 17498\nHOI to ENY: 13217\nHOI to DLH: 10151\nHOI to ORB: 17129\nENY to PER: 7718\nENY to LIS: 9980\nENY to DVO: 3798\nENY to TTU: 10650\nENY to DLH: 11750\nENY to ORB: 7935\nLIS to PER: 15148\nLIS to DVO: 13108\nLIS to TTU: 940\nLIS to DLH: 6991\nLIS to ORB: 3001\nPER to DVO: 5539\nPER to TTU: 15385\nPER to DLH: 17763\nPER to ORB: 14241\nTTU to DVO: 13687\nTTU to DLH: 7754\nTTU to ORB: 3699\nDVO to DLH: 13461\nDVO to ORB: 11190\nDLH to ORB: 7983\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GEG, JAN, UMD, BLL, COR, DSA, KSQ, MUN\n- Travel distances (in kilometers) between each pair of airports:\nEGN to KSQ: 6157\nEGN to COR: 12778\nEGN to JAN: 13468\nEGN to GEG: 14201\nEGN to BLL: 6071\nEGN to DSA: 6735\nEGN to UMD: 9800\nEGN to MUN: 13439\nGEG to KSQ: 12315\nGEG to COR: 10311\nGEG to JAN: 3029\nGEG to BLL: 8136\nGEG to DSA: 8711\nGEG to UMD: 8330\nGEG to MUN: 6713\nJAN to KSQ: 12024\nJAN to COR: 7877\nJAN to BLL: 7845\nJAN to DSA: 7842\nJAN to UMD: 8039\nJAN to MUN: 3876\nUMD to KSQ: 8233\nUMD to COR: 14598\nUMD to BLL: 4095\nUMD to DSA: 4703\nUMD to MUN: 10005\nBLL to KSQ: 4567\nBLL to COR: 12205\nBLL to DSA: 1543\nBLL to MUN: 8148\nCOR to KSQ: 16261\nCOR to DSA: 12097\nCOR to MUN: 5702\nDSA to KSQ: 5286\nDSA to MUN: 8173\nKSQ to MUN: 12710\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50685,
"style": "rule"
}
|
{
"exact_answer": 50685,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EGN\", \"id\": 0}, {\"name\": \"GEG\", \"id\": 1}, {\"name\": \"JAN\", \"id\": 2}, {\"name\": \"UMD\", \"id\": 3}, {\"name\": \"BLL\", \"id\": 4}, {\"name\": \"COR\", \"id\": 5}, {\"name\": \"DSA\", \"id\": 6}, {\"name\": \"KSQ\", \"id\": 7}, {\"name\": \"MUN\", \"id\": 8}], \"links\": [{\"weight\": 6157, \"source\": 0, \"target\": 7}, {\"weight\": 12778, \"source\": 0, \"target\": 5}, {\"weight\": 13468, \"source\": 0, \"target\": 2}, {\"weight\": 14201, \"source\": 0, \"target\": 1}, {\"weight\": 6071, \"source\": 0, \"target\": 4}, {\"weight\": 6735, \"source\": 0, \"target\": 6}, {\"weight\": 9800, \"source\": 0, \"target\": 3}, {\"weight\": 13439, \"source\": 0, \"target\": 8}, {\"weight\": 12315, \"source\": 1, \"target\": 7}, {\"weight\": 10311, \"source\": 1, \"target\": 5}, {\"weight\": 3029, \"source\": 1, \"target\": 2}, {\"weight\": 8136, \"source\": 1, \"target\": 4}, {\"weight\": 8711, \"source\": 1, \"target\": 6}, {\"weight\": 8330, \"source\": 1, \"target\": 3}, {\"weight\": 6713, \"source\": 1, \"target\": 8}, {\"weight\": 12024, \"source\": 2, \"target\": 7}, {\"weight\": 7877, \"source\": 2, \"target\": 5}, {\"weight\": 7845, \"source\": 2, \"target\": 4}, {\"weight\": 7842, \"source\": 2, \"target\": 6}, {\"weight\": 8039, \"source\": 2, \"target\": 3}, {\"weight\": 3876, \"source\": 2, \"target\": 8}, {\"weight\": 8233, \"source\": 3, \"target\": 7}, {\"weight\": 14598, \"source\": 3, \"target\": 5}, {\"weight\": 4095, \"source\": 3, \"target\": 4}, {\"weight\": 4703, \"source\": 3, \"target\": 6}, {\"weight\": 10005, \"source\": 3, \"target\": 8}, {\"weight\": 4567, \"source\": 4, \"target\": 7}, {\"weight\": 12205, \"source\": 4, \"target\": 5}, {\"weight\": 1543, \"source\": 4, \"target\": 6}, {\"weight\": 8148, \"source\": 4, \"target\": 8}, {\"weight\": 16261, \"source\": 5, \"target\": 7}, {\"weight\": 12097, \"source\": 5, \"target\": 6}, {\"weight\": 5702, \"source\": 5, \"target\": 8}, {\"weight\": 5286, \"source\": 6, \"target\": 7}, {\"weight\": 8173, \"source\": 6, \"target\": 8}, {\"weight\": 12710, \"source\": 7, \"target\": 8}]}",
"id": 2041,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, GEG, JAN, UMD, BLL, COR, DSA, KSQ, MUN\n- Travel distances (in kilometers) between each pair of airports:\nEGN to KSQ: 6157\nEGN to COR: 12778\nEGN to JAN: 13468\nEGN to GEG: 14201\nEGN to BLL: 6071\nEGN to DSA: 6735\nEGN to UMD: 9800\nEGN to MUN: 13439\nGEG to KSQ: 12315\nGEG to COR: 10311\nGEG to JAN: 3029\nGEG to BLL: 8136\nGEG to DSA: 8711\nGEG to UMD: 8330\nGEG to MUN: 6713\nJAN to KSQ: 12024\nJAN to COR: 7877\nJAN to BLL: 7845\nJAN to DSA: 7842\nJAN to UMD: 8039\nJAN to MUN: 3876\nUMD to KSQ: 8233\nUMD to COR: 14598\nUMD to BLL: 4095\nUMD to DSA: 4703\nUMD to MUN: 10005\nBLL to KSQ: 4567\nBLL to COR: 12205\nBLL to DSA: 1543\nBLL to MUN: 8148\nCOR to KSQ: 16261\nCOR to DSA: 12097\nCOR to MUN: 5702\nDSA to KSQ: 5286\nDSA to MUN: 8173\nKSQ to MUN: 12710\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SFA, TOG, YFS, SOF, YWH, ADK, THD, RBV\n- Travel distances (in kilometers) between each pair of airports:\nYKL to YFS: 3679\nYKL to TOG: 7606\nYKL to SFA: 7258\nYKL to SOF: 7229\nYKL to ADK: 8654\nYKL to RBV: 16310\nYKL to YWH: 4648\nYKL to THD: 16419\nSFA to YFS: 10258\nSFA to TOG: 12961\nSFA to SOF: 1740\nSFA to ADK: 14009\nSFA to RBV: 16685\nSFA to YWH: 9908\nSFA to THD: 10977\nTOG to YFS: 5467\nTOG to SOF: 12737\nTOG to ADK: 2778\nTOG to RBV: 12838\nTOG to YWH: 3327\nTOG to THD: 16125\nYFS to SOF: 10037\nYFS to ADK: 6515\nYFS to RBV: 14041\nYFS to YWH: 2414\nYFS to THD: 14952\nSOF to ADK: 13785\nSOF to RBV: 15253\nSOF to YWH: 9684\nSOF to THD: 9703\nYWH to ADK: 4375\nYWH to RBV: 11943\nYWH to THD: 13072\nADK to RBV: 13886\nADK to THD: 17173\nTHD to RBV: 8248\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53033,
"style": "rule"
}
|
{
"exact_answer": 53033,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YKL\", \"id\": 0}, {\"name\": \"SFA\", \"id\": 1}, {\"name\": \"TOG\", \"id\": 2}, {\"name\": \"YFS\", \"id\": 3}, {\"name\": \"SOF\", \"id\": 4}, {\"name\": \"YWH\", \"id\": 5}, {\"name\": \"ADK\", \"id\": 6}, {\"name\": \"THD\", \"id\": 7}, {\"name\": \"RBV\", \"id\": 8}], \"links\": [{\"weight\": 3679, \"source\": 0, \"target\": 3}, {\"weight\": 7606, \"source\": 0, \"target\": 2}, {\"weight\": 7258, \"source\": 0, \"target\": 1}, {\"weight\": 7229, \"source\": 0, \"target\": 4}, {\"weight\": 8654, \"source\": 0, \"target\": 6}, {\"weight\": 16310, \"source\": 0, \"target\": 8}, {\"weight\": 4648, \"source\": 0, \"target\": 5}, {\"weight\": 16419, \"source\": 0, \"target\": 7}, {\"weight\": 10258, \"source\": 1, \"target\": 3}, {\"weight\": 12961, \"source\": 1, \"target\": 2}, {\"weight\": 1740, \"source\": 1, \"target\": 4}, {\"weight\": 14009, \"source\": 1, \"target\": 6}, {\"weight\": 16685, \"source\": 1, \"target\": 8}, {\"weight\": 9908, \"source\": 1, \"target\": 5}, {\"weight\": 10977, \"source\": 1, \"target\": 7}, {\"weight\": 5467, \"source\": 2, \"target\": 3}, {\"weight\": 12737, \"source\": 2, \"target\": 4}, {\"weight\": 2778, \"source\": 2, \"target\": 6}, {\"weight\": 12838, \"source\": 2, \"target\": 8}, {\"weight\": 3327, \"source\": 2, \"target\": 5}, {\"weight\": 16125, \"source\": 2, \"target\": 7}, {\"weight\": 10037, \"source\": 3, \"target\": 4}, {\"weight\": 6515, \"source\": 3, \"target\": 6}, {\"weight\": 14041, \"source\": 3, \"target\": 8}, {\"weight\": 2414, \"source\": 3, \"target\": 5}, {\"weight\": 14952, \"source\": 3, \"target\": 7}, {\"weight\": 13785, \"source\": 4, \"target\": 6}, {\"weight\": 15253, \"source\": 4, \"target\": 8}, {\"weight\": 9684, \"source\": 4, \"target\": 5}, {\"weight\": 9703, \"source\": 4, \"target\": 7}, {\"weight\": 4375, \"source\": 5, \"target\": 6}, {\"weight\": 11943, \"source\": 5, \"target\": 8}, {\"weight\": 13072, \"source\": 5, \"target\": 7}, {\"weight\": 13886, \"source\": 6, \"target\": 8}, {\"weight\": 17173, \"source\": 6, \"target\": 7}, {\"weight\": 8248, \"source\": 7, \"target\": 8}]}",
"id": 2042,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SFA, TOG, YFS, SOF, YWH, ADK, THD, RBV\n- Travel distances (in kilometers) between each pair of airports:\nYKL to YFS: 3679\nYKL to TOG: 7606\nYKL to SFA: 7258\nYKL to SOF: 7229\nYKL to ADK: 8654\nYKL to RBV: 16310\nYKL to YWH: 4648\nYKL to THD: 16419\nSFA to YFS: 10258\nSFA to TOG: 12961\nSFA to SOF: 1740\nSFA to ADK: 14009\nSFA to RBV: 16685\nSFA to YWH: 9908\nSFA to THD: 10977\nTOG to YFS: 5467\nTOG to SOF: 12737\nTOG to ADK: 2778\nTOG to RBV: 12838\nTOG to YWH: 3327\nTOG to THD: 16125\nYFS to SOF: 10037\nYFS to ADK: 6515\nYFS to RBV: 14041\nYFS to YWH: 2414\nYFS to THD: 14952\nSOF to ADK: 13785\nSOF to RBV: 15253\nSOF to YWH: 9684\nSOF to THD: 9703\nYWH to ADK: 4375\nYWH to RBV: 11943\nYWH to THD: 13072\nADK to RBV: 13886\nADK to THD: 17173\nTHD to RBV: 8248\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EZS, SVC, JEG, RKA, FKB, SVP, GCM, VAS, AUK\n- Travel distances (in kilometers) between each pair of airports:\nEZS to FKB: 2922\nEZS to AUK: 14027\nEZS to GCM: 11147\nEZS to SVP: 7321\nEZS to JEG: 6563\nEZS to VAS: 1544\nEZS to RKA: 19064\nEZS to SVC: 12133\nSVC to FKB: 9603\nSVC to AUK: 5293\nSVC to GCM: 3833\nSVC to SVP: 15025\nSVC to JEG: 8985\nSVC to VAS: 11897\nSVC to RKA: 8072\nJEG to FKB: 4460\nJEG to AUK: 10879\nJEG to GCM: 8554\nJEG to SVP: 11217\nJEG to VAS: 6327\nJEG to RKA: 16138\nRKA to FKB: 16719\nRKA to AUK: 10210\nRKA to GCM: 11165\nRKA to SVP: 18198\nRKA to VAS: 18828\nFKB to AUK: 11497\nFKB to GCM: 8685\nFKB to SVP: 7694\nFKB to VAS: 2684\nSVP to AUK: 17630\nSVP to GCM: 11954\nSVP to VAS: 7083\nGCM to AUK: 7915\nGCM to VAS: 10934\nVAS to AUK: 13791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60957,
"style": "rule"
}
|
{
"exact_answer": 60957,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EZS\", \"id\": 0}, {\"name\": \"SVC\", \"id\": 1}, {\"name\": \"JEG\", \"id\": 2}, {\"name\": \"RKA\", \"id\": 3}, {\"name\": \"FKB\", \"id\": 4}, {\"name\": \"SVP\", \"id\": 5}, {\"name\": \"GCM\", \"id\": 6}, {\"name\": \"VAS\", \"id\": 7}, {\"name\": \"AUK\", \"id\": 8}], \"links\": [{\"weight\": 2922, \"source\": 0, \"target\": 4}, {\"weight\": 14027, \"source\": 0, \"target\": 8}, {\"weight\": 11147, \"source\": 0, \"target\": 6}, {\"weight\": 7321, \"source\": 0, \"target\": 5}, {\"weight\": 6563, \"source\": 0, \"target\": 2}, {\"weight\": 1544, \"source\": 0, \"target\": 7}, {\"weight\": 19064, \"source\": 0, \"target\": 3}, {\"weight\": 12133, \"source\": 0, \"target\": 1}, {\"weight\": 9603, \"source\": 1, \"target\": 4}, {\"weight\": 5293, \"source\": 1, \"target\": 8}, {\"weight\": 3833, \"source\": 1, \"target\": 6}, {\"weight\": 15025, \"source\": 1, \"target\": 5}, {\"weight\": 8985, \"source\": 1, \"target\": 2}, {\"weight\": 11897, \"source\": 1, \"target\": 7}, {\"weight\": 8072, \"source\": 1, \"target\": 3}, {\"weight\": 4460, \"source\": 2, \"target\": 4}, {\"weight\": 10879, \"source\": 2, \"target\": 8}, {\"weight\": 8554, \"source\": 2, \"target\": 6}, {\"weight\": 11217, \"source\": 2, \"target\": 5}, {\"weight\": 6327, \"source\": 2, \"target\": 7}, {\"weight\": 16138, \"source\": 2, \"target\": 3}, {\"weight\": 16719, \"source\": 3, \"target\": 4}, {\"weight\": 10210, \"source\": 3, \"target\": 8}, {\"weight\": 11165, \"source\": 3, \"target\": 6}, {\"weight\": 18198, \"source\": 3, \"target\": 5}, {\"weight\": 18828, \"source\": 3, \"target\": 7}, {\"weight\": 11497, \"source\": 4, \"target\": 8}, {\"weight\": 8685, \"source\": 4, \"target\": 6}, {\"weight\": 7694, \"source\": 4, \"target\": 5}, {\"weight\": 2684, \"source\": 4, \"target\": 7}, {\"weight\": 17630, \"source\": 5, \"target\": 8}, {\"weight\": 11954, \"source\": 5, \"target\": 6}, {\"weight\": 7083, \"source\": 5, \"target\": 7}, {\"weight\": 7915, \"source\": 6, \"target\": 8}, {\"weight\": 10934, \"source\": 6, \"target\": 7}, {\"weight\": 13791, \"source\": 7, \"target\": 8}]}",
"id": 2043,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EZS, SVC, JEG, RKA, FKB, SVP, GCM, VAS, AUK\n- Travel distances (in kilometers) between each pair of airports:\nEZS to FKB: 2922\nEZS to AUK: 14027\nEZS to GCM: 11147\nEZS to SVP: 7321\nEZS to JEG: 6563\nEZS to VAS: 1544\nEZS to RKA: 19064\nEZS to SVC: 12133\nSVC to FKB: 9603\nSVC to AUK: 5293\nSVC to GCM: 3833\nSVC to SVP: 15025\nSVC to JEG: 8985\nSVC to VAS: 11897\nSVC to RKA: 8072\nJEG to FKB: 4460\nJEG to AUK: 10879\nJEG to GCM: 8554\nJEG to SVP: 11217\nJEG to VAS: 6327\nJEG to RKA: 16138\nRKA to FKB: 16719\nRKA to AUK: 10210\nRKA to GCM: 11165\nRKA to SVP: 18198\nRKA to VAS: 18828\nFKB to AUK: 11497\nFKB to GCM: 8685\nFKB to SVP: 7694\nFKB to VAS: 2684\nSVP to AUK: 17630\nSVP to GCM: 11954\nSVP to VAS: 7083\nGCM to AUK: 7915\nGCM to VAS: 10934\nVAS to AUK: 13791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RPR, SPU, LNZ, YDF, GRP, KAN, GSM, YXP, YYJ\n- Travel distances (in kilometers) between each pair of airports:\nRPR to SPU: 6660\nRPR to YXP: 14168\nRPR to YYJ: 12856\nRPR to LNZ: 6667\nRPR to YDF: 11775\nRPR to GSM: 3053\nRPR to KAN: 7864\nRPR to GRP: 15835\nSPU to YXP: 8024\nSPU to YYJ: 9041\nSPU to LNZ: 685\nSPU to YDF: 5631\nSPU to GSM: 4103\nSPU to KAN: 4900\nSPU to GRP: 9793\nLNZ to YXP: 7601\nLNZ to YYJ: 8579\nLNZ to YDF: 5208\nLNZ to GSM: 4368\nLNZ to KAN: 5165\nLNZ to GRP: 9898\nYDF to YXP: 2448\nYDF to YYJ: 5138\nYDF to GSM: 9552\nYDF to KAN: 9239\nYDF to GRP: 8899\nGRP to YXP: 10357\nGRP to YYJ: 10825\nGRP to GSM: 13269\nGRP to KAN: 8272\nKAN to YXP: 11581\nKAN to YYJ: 12780\nKAN to GSM: 5296\nGSM to YXP: 11945\nGSM to YYJ: 12257\nYXP to YYJ: 4487\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46934,
"style": "rule"
}
|
{
"exact_answer": 46934,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RPR\", \"id\": 0}, {\"name\": \"SPU\", \"id\": 1}, {\"name\": \"LNZ\", \"id\": 2}, {\"name\": \"YDF\", \"id\": 3}, {\"name\": \"GRP\", \"id\": 4}, {\"name\": \"KAN\", \"id\": 5}, {\"name\": \"GSM\", \"id\": 6}, {\"name\": \"YXP\", \"id\": 7}, {\"name\": \"YYJ\", \"id\": 8}], \"links\": [{\"weight\": 6660, \"source\": 0, \"target\": 1}, {\"weight\": 14168, \"source\": 0, \"target\": 7}, {\"weight\": 12856, \"source\": 0, \"target\": 8}, {\"weight\": 6667, \"source\": 0, \"target\": 2}, {\"weight\": 11775, \"source\": 0, \"target\": 3}, {\"weight\": 3053, \"source\": 0, \"target\": 6}, {\"weight\": 7864, \"source\": 0, \"target\": 5}, {\"weight\": 15835, \"source\": 0, \"target\": 4}, {\"weight\": 8024, \"source\": 1, \"target\": 7}, {\"weight\": 9041, \"source\": 1, \"target\": 8}, {\"weight\": 685, \"source\": 1, \"target\": 2}, {\"weight\": 5631, \"source\": 1, \"target\": 3}, {\"weight\": 4103, \"source\": 1, \"target\": 6}, {\"weight\": 4900, \"source\": 1, \"target\": 5}, {\"weight\": 9793, \"source\": 1, \"target\": 4}, {\"weight\": 7601, \"source\": 2, \"target\": 7}, {\"weight\": 8579, \"source\": 2, \"target\": 8}, {\"weight\": 5208, \"source\": 2, \"target\": 3}, {\"weight\": 4368, \"source\": 2, \"target\": 6}, {\"weight\": 5165, \"source\": 2, \"target\": 5}, {\"weight\": 9898, \"source\": 2, \"target\": 4}, {\"weight\": 2448, \"source\": 3, \"target\": 7}, {\"weight\": 5138, \"source\": 3, \"target\": 8}, {\"weight\": 9552, \"source\": 3, \"target\": 6}, {\"weight\": 9239, \"source\": 3, \"target\": 5}, {\"weight\": 8899, \"source\": 3, \"target\": 4}, {\"weight\": 10357, \"source\": 4, \"target\": 7}, {\"weight\": 10825, \"source\": 4, \"target\": 8}, {\"weight\": 13269, \"source\": 4, \"target\": 6}, {\"weight\": 8272, \"source\": 4, \"target\": 5}, {\"weight\": 11581, \"source\": 5, \"target\": 7}, {\"weight\": 12780, \"source\": 5, \"target\": 8}, {\"weight\": 5296, \"source\": 5, \"target\": 6}, {\"weight\": 11945, \"source\": 6, \"target\": 7}, {\"weight\": 12257, \"source\": 6, \"target\": 8}, {\"weight\": 4487, \"source\": 7, \"target\": 8}]}",
"id": 2044,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RPR, SPU, LNZ, YDF, GRP, KAN, GSM, YXP, YYJ\n- Travel distances (in kilometers) between each pair of airports:\nRPR to SPU: 6660\nRPR to YXP: 14168\nRPR to YYJ: 12856\nRPR to LNZ: 6667\nRPR to YDF: 11775\nRPR to GSM: 3053\nRPR to KAN: 7864\nRPR to GRP: 15835\nSPU to YXP: 8024\nSPU to YYJ: 9041\nSPU to LNZ: 685\nSPU to YDF: 5631\nSPU to GSM: 4103\nSPU to KAN: 4900\nSPU to GRP: 9793\nLNZ to YXP: 7601\nLNZ to YYJ: 8579\nLNZ to YDF: 5208\nLNZ to GSM: 4368\nLNZ to KAN: 5165\nLNZ to GRP: 9898\nYDF to YXP: 2448\nYDF to YYJ: 5138\nYDF to GSM: 9552\nYDF to KAN: 9239\nYDF to GRP: 8899\nGRP to YXP: 10357\nGRP to YYJ: 10825\nGRP to GSM: 13269\nGRP to KAN: 8272\nKAN to YXP: 11581\nKAN to YYJ: 12780\nKAN to GSM: 5296\nGSM to YXP: 11945\nGSM to YYJ: 12257\nYXP to YYJ: 4487\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CPX, FRO, ISG, CYX, WEI, YLE, CBO, SVU\n- Travel distances (in kilometers) between each pair of airports:\nAXT to CBO: 4257\nAXT to YLE: 10001\nAXT to CPX: 14245\nAXT to ISG: 2296\nAXT to SVU: 9409\nAXT to CYX: 4583\nAXT to WEI: 7118\nAXT to FRO: 9237\nCPX to CBO: 17248\nCPX to YLE: 6471\nCPX to ISG: 15366\nCPX to SVU: 14645\nCPX to CYX: 15488\nCPX to WEI: 18946\nCPX to FRO: 8156\nFRO to CBO: 10967\nFRO to YLE: 7734\nFRO to ISG: 9429\nFRO to SVU: 16515\nFRO to CYX: 7876\nFRO to WEI: 15125\nISG to CBO: 2372\nISG to YLE: 11385\nISG to SVU: 9029\nISG to CYX: 6023\nISG to WEI: 6878\nCYX to CBO: 7846\nCYX to YLE: 14006\nCYX to SVU: 12720\nCYX to WEI: 11141\nWEI to CBO: 6282\nWEI to YLE: 15873\nWEI to SVU: 4951\nYLE to CBO: 13308\nYLE to SVU: 11676\nCBO to SVU: 8433\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54663,
"style": "rule"
}
|
{
"exact_answer": 54663,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AXT\", \"id\": 0}, {\"name\": \"CPX\", \"id\": 1}, {\"name\": \"FRO\", \"id\": 2}, {\"name\": \"ISG\", \"id\": 3}, {\"name\": \"CYX\", \"id\": 4}, {\"name\": \"WEI\", \"id\": 5}, {\"name\": \"YLE\", \"id\": 6}, {\"name\": \"CBO\", \"id\": 7}, {\"name\": \"SVU\", \"id\": 8}], \"links\": [{\"weight\": 4257, \"source\": 0, \"target\": 7}, {\"weight\": 10001, \"source\": 0, \"target\": 6}, {\"weight\": 14245, \"source\": 0, \"target\": 1}, {\"weight\": 2296, \"source\": 0, \"target\": 3}, {\"weight\": 9409, \"source\": 0, \"target\": 8}, {\"weight\": 4583, \"source\": 0, \"target\": 4}, {\"weight\": 7118, \"source\": 0, \"target\": 5}, {\"weight\": 9237, \"source\": 0, \"target\": 2}, {\"weight\": 17248, \"source\": 1, \"target\": 7}, {\"weight\": 6471, \"source\": 1, \"target\": 6}, {\"weight\": 15366, \"source\": 1, \"target\": 3}, {\"weight\": 14645, \"source\": 1, \"target\": 8}, {\"weight\": 15488, \"source\": 1, \"target\": 4}, {\"weight\": 18946, \"source\": 1, \"target\": 5}, {\"weight\": 8156, \"source\": 1, \"target\": 2}, {\"weight\": 10967, \"source\": 2, \"target\": 7}, {\"weight\": 7734, \"source\": 2, \"target\": 6}, {\"weight\": 9429, \"source\": 2, \"target\": 3}, {\"weight\": 16515, \"source\": 2, \"target\": 8}, {\"weight\": 7876, \"source\": 2, \"target\": 4}, {\"weight\": 15125, \"source\": 2, \"target\": 5}, {\"weight\": 2372, \"source\": 3, \"target\": 7}, {\"weight\": 11385, \"source\": 3, \"target\": 6}, {\"weight\": 9029, \"source\": 3, \"target\": 8}, {\"weight\": 6023, \"source\": 3, \"target\": 4}, {\"weight\": 6878, \"source\": 3, \"target\": 5}, {\"weight\": 7846, \"source\": 4, \"target\": 7}, {\"weight\": 14006, \"source\": 4, \"target\": 6}, {\"weight\": 12720, \"source\": 4, \"target\": 8}, {\"weight\": 11141, \"source\": 4, \"target\": 5}, {\"weight\": 6282, \"source\": 5, \"target\": 7}, {\"weight\": 15873, \"source\": 5, \"target\": 6}, {\"weight\": 4951, \"source\": 5, \"target\": 8}, {\"weight\": 13308, \"source\": 6, \"target\": 7}, {\"weight\": 11676, \"source\": 6, \"target\": 8}, {\"weight\": 8433, \"source\": 7, \"target\": 8}]}",
"id": 2045,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CPX, FRO, ISG, CYX, WEI, YLE, CBO, SVU\n- Travel distances (in kilometers) between each pair of airports:\nAXT to CBO: 4257\nAXT to YLE: 10001\nAXT to CPX: 14245\nAXT to ISG: 2296\nAXT to SVU: 9409\nAXT to CYX: 4583\nAXT to WEI: 7118\nAXT to FRO: 9237\nCPX to CBO: 17248\nCPX to YLE: 6471\nCPX to ISG: 15366\nCPX to SVU: 14645\nCPX to CYX: 15488\nCPX to WEI: 18946\nCPX to FRO: 8156\nFRO to CBO: 10967\nFRO to YLE: 7734\nFRO to ISG: 9429\nFRO to SVU: 16515\nFRO to CYX: 7876\nFRO to WEI: 15125\nISG to CBO: 2372\nISG to YLE: 11385\nISG to SVU: 9029\nISG to CYX: 6023\nISG to WEI: 6878\nCYX to CBO: 7846\nCYX to YLE: 14006\nCYX to SVU: 12720\nCYX to WEI: 11141\nWEI to CBO: 6282\nWEI to YLE: 15873\nWEI to SVU: 4951\nYLE to CBO: 13308\nYLE to SVU: 11676\nCBO to SVU: 8433\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, UVF, JHB, PKE, EBB, BLE, ANR, LEX, DIY\n- Travel distances (in kilometers) between each pair of airports:\nBEW to DIY: 7634\nBEW to LEX: 14816\nBEW to EBB: 2732\nBEW to UVF: 12892\nBEW to ANR: 9403\nBEW to JHB: 9742\nBEW to BLE: 9530\nBEW to PKE: 12290\nUVF to DIY: 10294\nUVF to LEX: 3569\nUVF to EBB: 12650\nUVF to ANR: 7637\nUVF to JHB: 17650\nUVF to BLE: 8120\nUVF to PKE: 17343\nJHB to DIY: 8932\nJHB to LEX: 15746\nJHB to EBB: 8341\nJHB to ANR: 11129\nJHB to BLE: 10303\nJHB to PKE: 6635\nPKE to DIY: 15552\nPKE to LEX: 15355\nPKE to EBB: 13067\nPKE to ANR: 17595\nPKE to BLE: 16628\nEBB to DIY: 5361\nEBB to LEX: 12914\nEBB to ANR: 6999\nEBB to BLE: 7079\nBLE to DIY: 3581\nBLE to LEX: 7347\nBLE to ANR: 1763\nANR to DIY: 3793\nANR to LEX: 6853\nLEX to DIY: 10006\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56375,
"style": "rule"
}
|
{
"exact_answer": 56375,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BEW\", \"id\": 0}, {\"name\": \"UVF\", \"id\": 1}, {\"name\": \"JHB\", \"id\": 2}, {\"name\": \"PKE\", \"id\": 3}, {\"name\": \"EBB\", \"id\": 4}, {\"name\": \"BLE\", \"id\": 5}, {\"name\": \"ANR\", \"id\": 6}, {\"name\": \"LEX\", \"id\": 7}, {\"name\": \"DIY\", \"id\": 8}], \"links\": [{\"weight\": 7634, \"source\": 0, \"target\": 8}, {\"weight\": 14816, \"source\": 0, \"target\": 7}, {\"weight\": 2732, \"source\": 0, \"target\": 4}, {\"weight\": 12892, \"source\": 0, \"target\": 1}, {\"weight\": 9403, \"source\": 0, \"target\": 6}, {\"weight\": 9742, \"source\": 0, \"target\": 2}, {\"weight\": 9530, \"source\": 0, \"target\": 5}, {\"weight\": 12290, \"source\": 0, \"target\": 3}, {\"weight\": 10294, \"source\": 1, \"target\": 8}, {\"weight\": 3569, \"source\": 1, \"target\": 7}, {\"weight\": 12650, \"source\": 1, \"target\": 4}, {\"weight\": 7637, \"source\": 1, \"target\": 6}, {\"weight\": 17650, \"source\": 1, \"target\": 2}, {\"weight\": 8120, \"source\": 1, \"target\": 5}, {\"weight\": 17343, \"source\": 1, \"target\": 3}, {\"weight\": 8932, \"source\": 2, \"target\": 8}, {\"weight\": 15746, \"source\": 2, \"target\": 7}, {\"weight\": 8341, \"source\": 2, \"target\": 4}, {\"weight\": 11129, \"source\": 2, \"target\": 6}, {\"weight\": 10303, \"source\": 2, \"target\": 5}, {\"weight\": 6635, \"source\": 2, \"target\": 3}, {\"weight\": 15552, \"source\": 3, \"target\": 8}, {\"weight\": 15355, \"source\": 3, \"target\": 7}, {\"weight\": 13067, \"source\": 3, \"target\": 4}, {\"weight\": 17595, \"source\": 3, \"target\": 6}, {\"weight\": 16628, \"source\": 3, \"target\": 5}, {\"weight\": 5361, \"source\": 4, \"target\": 8}, {\"weight\": 12914, \"source\": 4, \"target\": 7}, {\"weight\": 6999, \"source\": 4, \"target\": 6}, {\"weight\": 7079, \"source\": 4, \"target\": 5}, {\"weight\": 3581, \"source\": 5, \"target\": 8}, {\"weight\": 7347, \"source\": 5, \"target\": 7}, {\"weight\": 1763, \"source\": 5, \"target\": 6}, {\"weight\": 3793, \"source\": 6, \"target\": 8}, {\"weight\": 6853, \"source\": 6, \"target\": 7}, {\"weight\": 10006, \"source\": 7, \"target\": 8}]}",
"id": 2046,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BEW, UVF, JHB, PKE, EBB, BLE, ANR, LEX, DIY\n- Travel distances (in kilometers) between each pair of airports:\nBEW to DIY: 7634\nBEW to LEX: 14816\nBEW to EBB: 2732\nBEW to UVF: 12892\nBEW to ANR: 9403\nBEW to JHB: 9742\nBEW to BLE: 9530\nBEW to PKE: 12290\nUVF to DIY: 10294\nUVF to LEX: 3569\nUVF to EBB: 12650\nUVF to ANR: 7637\nUVF to JHB: 17650\nUVF to BLE: 8120\nUVF to PKE: 17343\nJHB to DIY: 8932\nJHB to LEX: 15746\nJHB to EBB: 8341\nJHB to ANR: 11129\nJHB to BLE: 10303\nJHB to PKE: 6635\nPKE to DIY: 15552\nPKE to LEX: 15355\nPKE to EBB: 13067\nPKE to ANR: 17595\nPKE to BLE: 16628\nEBB to DIY: 5361\nEBB to LEX: 12914\nEBB to ANR: 6999\nEBB to BLE: 7079\nBLE to DIY: 3581\nBLE to LEX: 7347\nBLE to ANR: 1763\nANR to DIY: 3793\nANR to LEX: 6853\nLEX to DIY: 10006\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LOE, LGA, PLM, DLI, GYS, CAH, YPH, ASB, MJU\n- Travel distances (in kilometers) between each pair of airports:\nLOE to YPH: 15873\nLOE to LGA: 14856\nLOE to PLM: 2333\nLOE to ASB: 5357\nLOE to GYS: 3358\nLOE to MJU: 3997\nLOE to DLI: 1363\nLOE to CAH: 1393\nLGA to YPH: 2003\nLGA to PLM: 16102\nLGA to ASB: 10018\nLGA to GYS: 12429\nLGA to MJU: 16498\nLGA to DLI: 14466\nLGA to CAH: 14773\nPLM to YPH: 16774\nPLM to ASB: 6612\nPLM to GYS: 4375\nPLM to MJU: 2124\nPLM to DLI: 1785\nPLM to CAH: 1815\nDLI to YPH: 15282\nDLI to ASB: 5900\nDLI to GYS: 2700\nDLI to MJU: 3449\nDLI to CAH: 456\nGYS to YPH: 13451\nGYS to ASB: 6242\nGYS to MJU: 4858\nGYS to CAH: 3056\nCAH to YPH: 15562\nCAH to ASB: 5930\nCAH to MJU: 3479\nYPH to ASB: 10872\nYPH to MJU: 16729\nASB to MJU: 8328\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41277,
"style": "rule"
}
|
{
"exact_answer": 41277,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LOE\", \"id\": 0}, {\"name\": \"LGA\", \"id\": 1}, {\"name\": \"PLM\", \"id\": 2}, {\"name\": \"DLI\", \"id\": 3}, {\"name\": \"GYS\", \"id\": 4}, {\"name\": \"CAH\", \"id\": 5}, {\"name\": \"YPH\", \"id\": 6}, {\"name\": \"ASB\", \"id\": 7}, {\"name\": \"MJU\", \"id\": 8}], \"links\": [{\"weight\": 15873, \"source\": 0, \"target\": 6}, {\"weight\": 14856, \"source\": 0, \"target\": 1}, {\"weight\": 2333, \"source\": 0, \"target\": 2}, {\"weight\": 5357, \"source\": 0, \"target\": 7}, {\"weight\": 3358, \"source\": 0, \"target\": 4}, {\"weight\": 3997, \"source\": 0, \"target\": 8}, {\"weight\": 1363, \"source\": 0, \"target\": 3}, {\"weight\": 1393, \"source\": 0, \"target\": 5}, {\"weight\": 2003, \"source\": 1, \"target\": 6}, {\"weight\": 16102, \"source\": 1, \"target\": 2}, {\"weight\": 10018, \"source\": 1, \"target\": 7}, {\"weight\": 12429, \"source\": 1, \"target\": 4}, {\"weight\": 16498, \"source\": 1, \"target\": 8}, {\"weight\": 14466, \"source\": 1, \"target\": 3}, {\"weight\": 14773, \"source\": 1, \"target\": 5}, {\"weight\": 16774, \"source\": 2, \"target\": 6}, {\"weight\": 6612, \"source\": 2, \"target\": 7}, {\"weight\": 4375, \"source\": 2, \"target\": 4}, {\"weight\": 2124, \"source\": 2, \"target\": 8}, {\"weight\": 1785, \"source\": 2, \"target\": 3}, {\"weight\": 1815, \"source\": 2, \"target\": 5}, {\"weight\": 15282, \"source\": 3, \"target\": 6}, {\"weight\": 5900, \"source\": 3, \"target\": 7}, {\"weight\": 2700, \"source\": 3, \"target\": 4}, {\"weight\": 3449, \"source\": 3, \"target\": 8}, {\"weight\": 456, \"source\": 3, \"target\": 5}, {\"weight\": 13451, \"source\": 4, \"target\": 6}, {\"weight\": 6242, \"source\": 4, \"target\": 7}, {\"weight\": 4858, \"source\": 4, \"target\": 8}, {\"weight\": 3056, \"source\": 4, \"target\": 5}, {\"weight\": 15562, \"source\": 5, \"target\": 6}, {\"weight\": 5930, \"source\": 5, \"target\": 7}, {\"weight\": 3479, \"source\": 5, \"target\": 8}, {\"weight\": 10872, \"source\": 6, \"target\": 7}, {\"weight\": 16729, \"source\": 6, \"target\": 8}, {\"weight\": 8328, \"source\": 7, \"target\": 8}]}",
"id": 2047,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LOE, LGA, PLM, DLI, GYS, CAH, YPH, ASB, MJU\n- Travel distances (in kilometers) between each pair of airports:\nLOE to YPH: 15873\nLOE to LGA: 14856\nLOE to PLM: 2333\nLOE to ASB: 5357\nLOE to GYS: 3358\nLOE to MJU: 3997\nLOE to DLI: 1363\nLOE to CAH: 1393\nLGA to YPH: 2003\nLGA to PLM: 16102\nLGA to ASB: 10018\nLGA to GYS: 12429\nLGA to MJU: 16498\nLGA to DLI: 14466\nLGA to CAH: 14773\nPLM to YPH: 16774\nPLM to ASB: 6612\nPLM to GYS: 4375\nPLM to MJU: 2124\nPLM to DLI: 1785\nPLM to CAH: 1815\nDLI to YPH: 15282\nDLI to ASB: 5900\nDLI to GYS: 2700\nDLI to MJU: 3449\nDLI to CAH: 456\nGYS to YPH: 13451\nGYS to ASB: 6242\nGYS to MJU: 4858\nGYS to CAH: 3056\nCAH to YPH: 15562\nCAH to ASB: 5930\nCAH to MJU: 3479\nYPH to ASB: 10872\nYPH to MJU: 16729\nASB to MJU: 8328\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RSD, BET, OKL, JSR, KER, OME, VCA, SGF, YYT\n- Travel distances (in kilometers) between each pair of airports:\nRSD to JSR: 15221\nRSD to BET: 7439\nRSD to OME: 7664\nRSD to SGF: 2203\nRSD to YYT: 3689\nRSD to KER: 12407\nRSD to OKL: 20359\nRSD to VCA: 16331\nBET to JSR: 15157\nBET to OME: 583\nBET to SGF: 5524\nBET to YYT: 7822\nBET to KER: 15710\nBET to OKL: 18666\nBET to VCA: 15213\nOKL to JSR: 7427\nOKL to OME: 18891\nOKL to SGF: 18394\nOKL to YYT: 18981\nOKL to KER: 11026\nOKL to VCA: 5903\nJSR to OME: 15382\nJSR to SGF: 14295\nJSR to YYT: 11874\nJSR to KER: 4543\nJSR to VCA: 2855\nKER to OME: 15935\nKER to SGF: 12309\nKER to YYT: 9016\nKER to VCA: 6868\nOME to SGF: 5749\nOME to YYT: 8047\nOME to VCA: 15438\nVCA to SGF: 14837\nVCA to YYT: 14189\nSGF to YYT: 3522\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53207,
"style": "rule"
}
|
{
"exact_answer": 53207,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RSD\", \"id\": 0}, {\"name\": \"BET\", \"id\": 1}, {\"name\": \"OKL\", \"id\": 2}, {\"name\": \"JSR\", \"id\": 3}, {\"name\": \"KER\", \"id\": 4}, {\"name\": \"OME\", \"id\": 5}, {\"name\": \"VCA\", \"id\": 6}, {\"name\": \"SGF\", \"id\": 7}, {\"name\": \"YYT\", \"id\": 8}], \"links\": [{\"weight\": 15221, \"source\": 0, \"target\": 3}, {\"weight\": 7439, \"source\": 0, \"target\": 1}, {\"weight\": 7664, \"source\": 0, \"target\": 5}, {\"weight\": 2203, \"source\": 0, \"target\": 7}, {\"weight\": 3689, \"source\": 0, \"target\": 8}, {\"weight\": 12407, \"source\": 0, \"target\": 4}, {\"weight\": 20359, \"source\": 0, \"target\": 2}, {\"weight\": 16331, \"source\": 0, \"target\": 6}, {\"weight\": 15157, \"source\": 1, \"target\": 3}, {\"weight\": 583, \"source\": 1, \"target\": 5}, {\"weight\": 5524, \"source\": 1, \"target\": 7}, {\"weight\": 7822, \"source\": 1, \"target\": 8}, {\"weight\": 15710, \"source\": 1, \"target\": 4}, {\"weight\": 18666, \"source\": 1, \"target\": 2}, {\"weight\": 15213, \"source\": 1, \"target\": 6}, {\"weight\": 7427, \"source\": 2, \"target\": 3}, {\"weight\": 18891, \"source\": 2, \"target\": 5}, {\"weight\": 18394, \"source\": 2, \"target\": 7}, {\"weight\": 18981, \"source\": 2, \"target\": 8}, {\"weight\": 11026, \"source\": 2, \"target\": 4}, {\"weight\": 5903, \"source\": 2, \"target\": 6}, {\"weight\": 15382, \"source\": 3, \"target\": 5}, {\"weight\": 14295, \"source\": 3, \"target\": 7}, {\"weight\": 11874, \"source\": 3, \"target\": 8}, {\"weight\": 4543, \"source\": 3, \"target\": 4}, {\"weight\": 2855, \"source\": 3, \"target\": 6}, {\"weight\": 15935, \"source\": 4, \"target\": 5}, {\"weight\": 12309, \"source\": 4, \"target\": 7}, {\"weight\": 9016, \"source\": 4, \"target\": 8}, {\"weight\": 6868, \"source\": 4, \"target\": 6}, {\"weight\": 5749, \"source\": 5, \"target\": 7}, {\"weight\": 8047, \"source\": 5, \"target\": 8}, {\"weight\": 15438, \"source\": 5, \"target\": 6}, {\"weight\": 14837, \"source\": 6, \"target\": 7}, {\"weight\": 14189, \"source\": 6, \"target\": 8}, {\"weight\": 3522, \"source\": 7, \"target\": 8}]}",
"id": 2048,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RSD, BET, OKL, JSR, KER, OME, VCA, SGF, YYT\n- Travel distances (in kilometers) between each pair of airports:\nRSD to JSR: 15221\nRSD to BET: 7439\nRSD to OME: 7664\nRSD to SGF: 2203\nRSD to YYT: 3689\nRSD to KER: 12407\nRSD to OKL: 20359\nRSD to VCA: 16331\nBET to JSR: 15157\nBET to OME: 583\nBET to SGF: 5524\nBET to YYT: 7822\nBET to KER: 15710\nBET to OKL: 18666\nBET to VCA: 15213\nOKL to JSR: 7427\nOKL to OME: 18891\nOKL to SGF: 18394\nOKL to YYT: 18981\nOKL to KER: 11026\nOKL to VCA: 5903\nJSR to OME: 15382\nJSR to SGF: 14295\nJSR to YYT: 11874\nJSR to KER: 4543\nJSR to VCA: 2855\nKER to OME: 15935\nKER to SGF: 12309\nKER to YYT: 9016\nKER to VCA: 6868\nOME to SGF: 5749\nOME to YYT: 8047\nOME to VCA: 15438\nVCA to SGF: 14837\nVCA to YYT: 14189\nSGF to YYT: 3522\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BRQ, KBL, LTI, RMT, MDL, TUB, KDU, PWE\n- Travel distances (in kilometers) between each pair of airports:\nAAY to KBL: 4129\nAAY to MDL: 7142\nAAY to BRQ: 7653\nAAY to LTI: 8473\nAAY to KDU: 4682\nAAY to PWE: 11137\nAAY to RMT: 20517\nAAY to TUB: 20507\nBRQ to KBL: 6969\nBRQ to MDL: 10745\nBRQ to LTI: 9128\nBRQ to KDU: 7572\nBRQ to PWE: 9231\nBRQ to RMT: 17422\nBRQ to TUB: 17412\nKBL to MDL: 3872\nKBL to LTI: 4529\nKBL to KDU: 666\nKBL to PWE: 9071\nKBL to RMT: 16502\nKBL to TUB: 16492\nLTI to MDL: 4902\nLTI to KDU: 5195\nLTI to PWE: 11862\nLTI to RMT: 14002\nLTI to TUB: 13992\nRMT to MDL: 14659\nRMT to KDU: 16424\nRMT to PWE: 22640\nRMT to TUB: 364\nMDL to KDU: 3847\nMDL to PWE: 12840\nMDL to TUB: 14649\nTUB to KDU: 16414\nTUB to PWE: 22630\nKDU to PWE: 9737\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65690,
"style": "rule"
}
|
{
"exact_answer": 65690,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAY\", \"id\": 0}, {\"name\": \"BRQ\", \"id\": 1}, {\"name\": \"KBL\", \"id\": 2}, {\"name\": \"LTI\", \"id\": 3}, {\"name\": \"RMT\", \"id\": 4}, {\"name\": \"MDL\", \"id\": 5}, {\"name\": \"TUB\", \"id\": 6}, {\"name\": \"KDU\", \"id\": 7}, {\"name\": \"PWE\", \"id\": 8}], \"links\": [{\"weight\": 4129, \"source\": 0, \"target\": 2}, {\"weight\": 7142, \"source\": 0, \"target\": 5}, {\"weight\": 7653, \"source\": 0, \"target\": 1}, {\"weight\": 8473, \"source\": 0, \"target\": 3}, {\"weight\": 4682, \"source\": 0, \"target\": 7}, {\"weight\": 11137, \"source\": 0, \"target\": 8}, {\"weight\": 20517, \"source\": 0, \"target\": 4}, {\"weight\": 20507, \"source\": 0, \"target\": 6}, {\"weight\": 6969, \"source\": 1, \"target\": 2}, {\"weight\": 10745, \"source\": 1, \"target\": 5}, {\"weight\": 9128, \"source\": 1, \"target\": 3}, {\"weight\": 7572, \"source\": 1, \"target\": 7}, {\"weight\": 9231, \"source\": 1, \"target\": 8}, {\"weight\": 17422, \"source\": 1, \"target\": 4}, {\"weight\": 17412, \"source\": 1, \"target\": 6}, {\"weight\": 3872, \"source\": 2, \"target\": 5}, {\"weight\": 4529, \"source\": 2, \"target\": 3}, {\"weight\": 666, \"source\": 2, \"target\": 7}, {\"weight\": 9071, \"source\": 2, \"target\": 8}, {\"weight\": 16502, \"source\": 2, \"target\": 4}, {\"weight\": 16492, \"source\": 2, \"target\": 6}, {\"weight\": 4902, \"source\": 3, \"target\": 5}, {\"weight\": 5195, \"source\": 3, \"target\": 7}, {\"weight\": 11862, \"source\": 3, \"target\": 8}, {\"weight\": 14002, \"source\": 3, \"target\": 4}, {\"weight\": 13992, \"source\": 3, \"target\": 6}, {\"weight\": 14659, \"source\": 4, \"target\": 5}, {\"weight\": 16424, \"source\": 4, \"target\": 7}, {\"weight\": 22640, \"source\": 4, \"target\": 8}, {\"weight\": 364, \"source\": 4, \"target\": 6}, {\"weight\": 3847, \"source\": 5, \"target\": 7}, {\"weight\": 12840, \"source\": 5, \"target\": 8}, {\"weight\": 14649, \"source\": 5, \"target\": 6}, {\"weight\": 16414, \"source\": 6, \"target\": 7}, {\"weight\": 22630, \"source\": 6, \"target\": 8}, {\"weight\": 9737, \"source\": 7, \"target\": 8}]}",
"id": 2049,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, BRQ, KBL, LTI, RMT, MDL, TUB, KDU, PWE\n- Travel distances (in kilometers) between each pair of airports:\nAAY to KBL: 4129\nAAY to MDL: 7142\nAAY to BRQ: 7653\nAAY to LTI: 8473\nAAY to KDU: 4682\nAAY to PWE: 11137\nAAY to RMT: 20517\nAAY to TUB: 20507\nBRQ to KBL: 6969\nBRQ to MDL: 10745\nBRQ to LTI: 9128\nBRQ to KDU: 7572\nBRQ to PWE: 9231\nBRQ to RMT: 17422\nBRQ to TUB: 17412\nKBL to MDL: 3872\nKBL to LTI: 4529\nKBL to KDU: 666\nKBL to PWE: 9071\nKBL to RMT: 16502\nKBL to TUB: 16492\nLTI to MDL: 4902\nLTI to KDU: 5195\nLTI to PWE: 11862\nLTI to RMT: 14002\nLTI to TUB: 13992\nRMT to MDL: 14659\nRMT to KDU: 16424\nRMT to PWE: 22640\nRMT to TUB: 364\nMDL to KDU: 3847\nMDL to PWE: 12840\nMDL to TUB: 14649\nTUB to KDU: 16414\nTUB to PWE: 22630\nKDU to PWE: 9737\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PUM, SPU, AIU, ENU, WJU, FNI, LPI, LYR, KYU\n- Travel distances (in kilometers) between each pair of airports:\nPUM to SPU: 11844\nPUM to KYU: 16257\nPUM to LYR: 13401\nPUM to ENU: 13245\nPUM to FNI: 13389\nPUM to AIU: 10620\nPUM to WJU: 5252\nPUM to LPI: 12352\nSPU to KYU: 12054\nSPU to LYR: 3867\nSPU to ENU: 4882\nSPU to FNI: 2121\nSPU to AIU: 18007\nSPU to WJU: 9469\nSPU to LPI: 1726\nAIU to KYU: 11136\nAIU to LYR: 18228\nAIU to ENU: 18823\nAIU to FNI: 17609\nAIU to WJU: 12556\nAIU to LPI: 17143\nENU to KYU: 15505\nENU to LYR: 8110\nENU to FNI: 5168\nENU to WJU: 12959\nENU to LPI: 5994\nWJU to KYU: 12196\nWJU to LYR: 10165\nWJU to FNI: 10395\nWJU to LPI: 9152\nFNI to KYU: 11569\nFNI to LYR: 4294\nFNI to LPI: 2288\nLPI to KYU: 11240\nLPI to LYR: 2889\nLYR to KYU: 12102\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63407,
"style": "rule"
}
|
{
"exact_answer": 63407,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PUM\", \"id\": 0}, {\"name\": \"SPU\", \"id\": 1}, {\"name\": \"AIU\", \"id\": 2}, {\"name\": \"ENU\", \"id\": 3}, {\"name\": \"WJU\", \"id\": 4}, {\"name\": \"FNI\", \"id\": 5}, {\"name\": \"LPI\", \"id\": 6}, {\"name\": \"LYR\", \"id\": 7}, {\"name\": \"KYU\", \"id\": 8}], \"links\": [{\"weight\": 11844, \"source\": 0, \"target\": 1}, {\"weight\": 16257, \"source\": 0, \"target\": 8}, {\"weight\": 13401, \"source\": 0, \"target\": 7}, {\"weight\": 13245, \"source\": 0, \"target\": 3}, {\"weight\": 13389, \"source\": 0, \"target\": 5}, {\"weight\": 10620, \"source\": 0, \"target\": 2}, {\"weight\": 5252, \"source\": 0, \"target\": 4}, {\"weight\": 12352, \"source\": 0, \"target\": 6}, {\"weight\": 12054, \"source\": 1, \"target\": 8}, {\"weight\": 3867, \"source\": 1, \"target\": 7}, {\"weight\": 4882, \"source\": 1, \"target\": 3}, {\"weight\": 2121, \"source\": 1, \"target\": 5}, {\"weight\": 18007, \"source\": 1, \"target\": 2}, {\"weight\": 9469, \"source\": 1, \"target\": 4}, {\"weight\": 1726, \"source\": 1, \"target\": 6}, {\"weight\": 11136, \"source\": 2, \"target\": 8}, {\"weight\": 18228, \"source\": 2, \"target\": 7}, {\"weight\": 18823, \"source\": 2, \"target\": 3}, {\"weight\": 17609, \"source\": 2, \"target\": 5}, {\"weight\": 12556, \"source\": 2, \"target\": 4}, {\"weight\": 17143, \"source\": 2, \"target\": 6}, {\"weight\": 15505, \"source\": 3, \"target\": 8}, {\"weight\": 8110, \"source\": 3, \"target\": 7}, {\"weight\": 5168, \"source\": 3, \"target\": 5}, {\"weight\": 12959, \"source\": 3, \"target\": 4}, {\"weight\": 5994, \"source\": 3, \"target\": 6}, {\"weight\": 12196, \"source\": 4, \"target\": 8}, {\"weight\": 10165, \"source\": 4, \"target\": 7}, {\"weight\": 10395, \"source\": 4, \"target\": 5}, {\"weight\": 9152, \"source\": 4, \"target\": 6}, {\"weight\": 11569, \"source\": 5, \"target\": 8}, {\"weight\": 4294, \"source\": 5, \"target\": 7}, {\"weight\": 2288, \"source\": 5, \"target\": 6}, {\"weight\": 11240, \"source\": 6, \"target\": 8}, {\"weight\": 2889, \"source\": 6, \"target\": 7}, {\"weight\": 12102, \"source\": 7, \"target\": 8}]}",
"id": 2050,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PUM, SPU, AIU, ENU, WJU, FNI, LPI, LYR, KYU\n- Travel distances (in kilometers) between each pair of airports:\nPUM to SPU: 11844\nPUM to KYU: 16257\nPUM to LYR: 13401\nPUM to ENU: 13245\nPUM to FNI: 13389\nPUM to AIU: 10620\nPUM to WJU: 5252\nPUM to LPI: 12352\nSPU to KYU: 12054\nSPU to LYR: 3867\nSPU to ENU: 4882\nSPU to FNI: 2121\nSPU to AIU: 18007\nSPU to WJU: 9469\nSPU to LPI: 1726\nAIU to KYU: 11136\nAIU to LYR: 18228\nAIU to ENU: 18823\nAIU to FNI: 17609\nAIU to WJU: 12556\nAIU to LPI: 17143\nENU to KYU: 15505\nENU to LYR: 8110\nENU to FNI: 5168\nENU to WJU: 12959\nENU to LPI: 5994\nWJU to KYU: 12196\nWJU to LYR: 10165\nWJU to FNI: 10395\nWJU to LPI: 9152\nFNI to KYU: 11569\nFNI to LYR: 4294\nFNI to LPI: 2288\nLPI to KYU: 11240\nLPI to LYR: 2889\nLYR to KYU: 12102\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAZ, LGA, IAG, FOC, YPR, IEV, GTE, EVG, BUD\n- Travel distances (in kilometers) between each pair of airports:\nMAZ to FOC: 15188\nMAZ to BUD: 8309\nMAZ to LGA: 2817\nMAZ to IEV: 9028\nMAZ to YPR: 7044\nMAZ to GTE: 19405\nMAZ to IAG: 3702\nMAZ to EVG: 8841\nLGA to FOC: 12602\nLGA to BUD: 7011\nLGA to IEV: 7584\nLGA to YPR: 4672\nLGA to GTE: 17610\nLGA to IAG: 1954\nLGA to EVG: 6638\nIAG to FOC: 14149\nIAG to BUD: 8950\nIAG to IEV: 9495\nIAG to YPR: 5845\nIAG to GTE: 18532\nIAG to EVG: 8567\nFOC to BUD: 8804\nFOC to IEV: 8129\nFOC to YPR: 10386\nFOC to GTE: 5091\nFOC to EVG: 8540\nYPR to BUD: 9600\nYPR to IEV: 9898\nYPR to GTE: 15097\nYPR to EVG: 8952\nIEV to BUD: 880\nIEV to GTE: 12813\nIEV to EVG: 1624\nGTE to BUD: 13483\nGTE to EVG: 13491\nEVG to BUD: 1686\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49858,
"style": "rule"
}
|
{
"exact_answer": 49858,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MAZ\", \"id\": 0}, {\"name\": \"LGA\", \"id\": 1}, {\"name\": \"IAG\", \"id\": 2}, {\"name\": \"FOC\", \"id\": 3}, {\"name\": \"YPR\", \"id\": 4}, {\"name\": \"IEV\", \"id\": 5}, {\"name\": \"GTE\", \"id\": 6}, {\"name\": \"EVG\", \"id\": 7}, {\"name\": \"BUD\", \"id\": 8}], \"links\": [{\"weight\": 15188, \"source\": 0, \"target\": 3}, {\"weight\": 8309, \"source\": 0, \"target\": 8}, {\"weight\": 2817, \"source\": 0, \"target\": 1}, {\"weight\": 9028, \"source\": 0, \"target\": 5}, {\"weight\": 7044, \"source\": 0, \"target\": 4}, {\"weight\": 19405, \"source\": 0, \"target\": 6}, {\"weight\": 3702, \"source\": 0, \"target\": 2}, {\"weight\": 8841, \"source\": 0, \"target\": 7}, {\"weight\": 12602, \"source\": 1, \"target\": 3}, {\"weight\": 7011, \"source\": 1, \"target\": 8}, {\"weight\": 7584, \"source\": 1, \"target\": 5}, {\"weight\": 4672, \"source\": 1, \"target\": 4}, {\"weight\": 17610, \"source\": 1, \"target\": 6}, {\"weight\": 1954, \"source\": 1, \"target\": 2}, {\"weight\": 6638, \"source\": 1, \"target\": 7}, {\"weight\": 14149, \"source\": 2, \"target\": 3}, {\"weight\": 8950, \"source\": 2, \"target\": 8}, {\"weight\": 9495, \"source\": 2, \"target\": 5}, {\"weight\": 5845, \"source\": 2, \"target\": 4}, {\"weight\": 18532, \"source\": 2, \"target\": 6}, {\"weight\": 8567, \"source\": 2, \"target\": 7}, {\"weight\": 8804, \"source\": 3, \"target\": 8}, {\"weight\": 8129, \"source\": 3, \"target\": 5}, {\"weight\": 10386, \"source\": 3, \"target\": 4}, {\"weight\": 5091, \"source\": 3, \"target\": 6}, {\"weight\": 8540, \"source\": 3, \"target\": 7}, {\"weight\": 9600, \"source\": 4, \"target\": 8}, {\"weight\": 9898, \"source\": 4, \"target\": 5}, {\"weight\": 15097, \"source\": 4, \"target\": 6}, {\"weight\": 8952, \"source\": 4, \"target\": 7}, {\"weight\": 880, \"source\": 5, \"target\": 8}, {\"weight\": 12813, \"source\": 5, \"target\": 6}, {\"weight\": 1624, \"source\": 5, \"target\": 7}, {\"weight\": 13483, \"source\": 6, \"target\": 8}, {\"weight\": 13491, \"source\": 6, \"target\": 7}, {\"weight\": 1686, \"source\": 7, \"target\": 8}]}",
"id": 2051,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAZ, LGA, IAG, FOC, YPR, IEV, GTE, EVG, BUD\n- Travel distances (in kilometers) between each pair of airports:\nMAZ to FOC: 15188\nMAZ to BUD: 8309\nMAZ to LGA: 2817\nMAZ to IEV: 9028\nMAZ to YPR: 7044\nMAZ to GTE: 19405\nMAZ to IAG: 3702\nMAZ to EVG: 8841\nLGA to FOC: 12602\nLGA to BUD: 7011\nLGA to IEV: 7584\nLGA to YPR: 4672\nLGA to GTE: 17610\nLGA to IAG: 1954\nLGA to EVG: 6638\nIAG to FOC: 14149\nIAG to BUD: 8950\nIAG to IEV: 9495\nIAG to YPR: 5845\nIAG to GTE: 18532\nIAG to EVG: 8567\nFOC to BUD: 8804\nFOC to IEV: 8129\nFOC to YPR: 10386\nFOC to GTE: 5091\nFOC to EVG: 8540\nYPR to BUD: 9600\nYPR to IEV: 9898\nYPR to GTE: 15097\nYPR to EVG: 8952\nIEV to BUD: 880\nIEV to GTE: 12813\nIEV to EVG: 1624\nGTE to BUD: 13483\nGTE to EVG: 13491\nEVG to BUD: 1686\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NHV, LPD, LNZ, WHK, HBA, TLN, YFA, NSH, KCT\n- Travel distances (in kilometers) between each pair of airports:\nNHV to LPD: 15032\nNHV to LNZ: 17782\nNHV to TLN: 17833\nNHV to NSH: 18663\nNHV to HBA: 8572\nNHV to WHK: 5712\nNHV to KCT: 16416\nNHV to YFA: 12124\nLPD to LNZ: 10954\nLPD to TLN: 10738\nLPD to NSH: 14314\nLPD to HBA: 18041\nLPD to WHK: 15529\nLPD to KCT: 18503\nLPD to YFA: 6774\nLNZ to TLN: 1746\nLNZ to NSH: 3583\nLNZ to HBA: 16530\nLNZ to WHK: 18271\nLNZ to KCT: 7795\nLNZ to YFA: 7369\nWHK to TLN: 19485\nWHK to NSH: 15295\nWHK to HBA: 3410\nWHK to KCT: 11348\nWHK to YFA: 14805\nHBA to TLN: 18105\nHBA to NSH: 13408\nHBA to KCT: 9285\nHBA to YFA: 17020\nTLN to NSH: 5087\nTLN to KCT: 9352\nTLN to YFA: 7276\nYFA to NSH: 10929\nYFA to KCT: 15089\nNSH to KCT: 4748\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57566,
"style": "rule"
}
|
{
"exact_answer": 57566,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NHV\", \"id\": 0}, {\"name\": \"LPD\", \"id\": 1}, {\"name\": \"LNZ\", \"id\": 2}, {\"name\": \"WHK\", \"id\": 3}, {\"name\": \"HBA\", \"id\": 4}, {\"name\": \"TLN\", \"id\": 5}, {\"name\": \"YFA\", \"id\": 6}, {\"name\": \"NSH\", \"id\": 7}, {\"name\": \"KCT\", \"id\": 8}], \"links\": [{\"weight\": 15032, \"source\": 0, \"target\": 1}, {\"weight\": 17782, \"source\": 0, \"target\": 2}, {\"weight\": 17833, \"source\": 0, \"target\": 5}, {\"weight\": 18663, \"source\": 0, \"target\": 7}, {\"weight\": 8572, \"source\": 0, \"target\": 4}, {\"weight\": 5712, \"source\": 0, \"target\": 3}, {\"weight\": 16416, \"source\": 0, \"target\": 8}, {\"weight\": 12124, \"source\": 0, \"target\": 6}, {\"weight\": 10954, \"source\": 1, \"target\": 2}, {\"weight\": 10738, \"source\": 1, \"target\": 5}, {\"weight\": 14314, \"source\": 1, \"target\": 7}, {\"weight\": 18041, \"source\": 1, \"target\": 4}, {\"weight\": 15529, \"source\": 1, \"target\": 3}, {\"weight\": 18503, \"source\": 1, \"target\": 8}, {\"weight\": 6774, \"source\": 1, \"target\": 6}, {\"weight\": 1746, \"source\": 2, \"target\": 5}, {\"weight\": 3583, \"source\": 2, \"target\": 7}, {\"weight\": 16530, \"source\": 2, \"target\": 4}, {\"weight\": 18271, \"source\": 2, \"target\": 3}, {\"weight\": 7795, \"source\": 2, \"target\": 8}, {\"weight\": 7369, \"source\": 2, \"target\": 6}, {\"weight\": 19485, \"source\": 3, \"target\": 5}, {\"weight\": 15295, \"source\": 3, \"target\": 7}, {\"weight\": 3410, \"source\": 3, \"target\": 4}, {\"weight\": 11348, \"source\": 3, \"target\": 8}, {\"weight\": 14805, \"source\": 3, \"target\": 6}, {\"weight\": 18105, \"source\": 4, \"target\": 5}, {\"weight\": 13408, \"source\": 4, \"target\": 7}, {\"weight\": 9285, \"source\": 4, \"target\": 8}, {\"weight\": 17020, \"source\": 4, \"target\": 6}, {\"weight\": 5087, \"source\": 5, \"target\": 7}, {\"weight\": 9352, \"source\": 5, \"target\": 8}, {\"weight\": 7276, \"source\": 5, \"target\": 6}, {\"weight\": 10929, \"source\": 6, \"target\": 7}, {\"weight\": 15089, \"source\": 6, \"target\": 8}, {\"weight\": 4748, \"source\": 7, \"target\": 8}]}",
"id": 2052,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NHV, LPD, LNZ, WHK, HBA, TLN, YFA, NSH, KCT\n- Travel distances (in kilometers) between each pair of airports:\nNHV to LPD: 15032\nNHV to LNZ: 17782\nNHV to TLN: 17833\nNHV to NSH: 18663\nNHV to HBA: 8572\nNHV to WHK: 5712\nNHV to KCT: 16416\nNHV to YFA: 12124\nLPD to LNZ: 10954\nLPD to TLN: 10738\nLPD to NSH: 14314\nLPD to HBA: 18041\nLPD to WHK: 15529\nLPD to KCT: 18503\nLPD to YFA: 6774\nLNZ to TLN: 1746\nLNZ to NSH: 3583\nLNZ to HBA: 16530\nLNZ to WHK: 18271\nLNZ to KCT: 7795\nLNZ to YFA: 7369\nWHK to TLN: 19485\nWHK to NSH: 15295\nWHK to HBA: 3410\nWHK to KCT: 11348\nWHK to YFA: 14805\nHBA to TLN: 18105\nHBA to NSH: 13408\nHBA to KCT: 9285\nHBA to YFA: 17020\nTLN to NSH: 5087\nTLN to KCT: 9352\nTLN to YFA: 7276\nYFA to NSH: 10929\nYFA to KCT: 15089\nNSH to KCT: 4748\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAG, ALO, TLT, PTG, YFB, VTZ, PGF, KKE, TIV\n- Travel distances (in kilometers) between each pair of airports:\nMAG to TIV: 14665\nMAG to TLT: 14162\nMAG to YFB: 17090\nMAG to VTZ: 8338\nMAG to PGF: 15816\nMAG to ALO: 15952\nMAG to KKE: 5089\nMAG to PTG: 13361\nALO to TIV: 8483\nALO to TLT: 5640\nALO to YFB: 3523\nALO to VTZ: 13753\nALO to PGF: 7635\nALO to KKE: 13871\nALO to PTG: 14674\nTLT to TIV: 12416\nTLT to YFB: 7248\nTLT to VTZ: 16063\nTLT to PGF: 11753\nTLT to KKE: 12468\nTLT to PTG: 19502\nPTG to TIV: 8772\nPTG to YFB: 15553\nPTG to VTZ: 8310\nPTG to PGF: 9863\nPTG to KKE: 13674\nYFB to TIV: 7981\nYFB to VTZ: 14284\nYFB to PGF: 7229\nYFB to KKE: 15707\nVTZ to TIV: 7020\nVTZ to PGF: 8640\nVTZ to KKE: 11525\nPGF to TIV: 2393\nPGF to KKE: 19458\nKKE to TIV: 18374\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61762,
"style": "rule"
}
|
{
"exact_answer": 61762,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MAG\", \"id\": 0}, {\"name\": \"ALO\", \"id\": 1}, {\"name\": \"TLT\", \"id\": 2}, {\"name\": \"PTG\", \"id\": 3}, {\"name\": \"YFB\", \"id\": 4}, {\"name\": \"VTZ\", \"id\": 5}, {\"name\": \"PGF\", \"id\": 6}, {\"name\": \"KKE\", \"id\": 7}, {\"name\": \"TIV\", \"id\": 8}], \"links\": [{\"weight\": 14665, \"source\": 0, \"target\": 8}, {\"weight\": 14162, \"source\": 0, \"target\": 2}, {\"weight\": 17090, \"source\": 0, \"target\": 4}, {\"weight\": 8338, \"source\": 0, \"target\": 5}, {\"weight\": 15816, \"source\": 0, \"target\": 6}, {\"weight\": 15952, \"source\": 0, \"target\": 1}, {\"weight\": 5089, \"source\": 0, \"target\": 7}, {\"weight\": 13361, \"source\": 0, \"target\": 3}, {\"weight\": 8483, \"source\": 1, \"target\": 8}, {\"weight\": 5640, \"source\": 1, \"target\": 2}, {\"weight\": 3523, \"source\": 1, \"target\": 4}, {\"weight\": 13753, \"source\": 1, \"target\": 5}, {\"weight\": 7635, \"source\": 1, \"target\": 6}, {\"weight\": 13871, \"source\": 1, \"target\": 7}, {\"weight\": 14674, \"source\": 1, \"target\": 3}, {\"weight\": 12416, \"source\": 2, \"target\": 8}, {\"weight\": 7248, \"source\": 2, \"target\": 4}, {\"weight\": 16063, \"source\": 2, \"target\": 5}, {\"weight\": 11753, \"source\": 2, \"target\": 6}, {\"weight\": 12468, \"source\": 2, \"target\": 7}, {\"weight\": 19502, \"source\": 2, \"target\": 3}, {\"weight\": 8772, \"source\": 3, \"target\": 8}, {\"weight\": 15553, \"source\": 3, \"target\": 4}, {\"weight\": 8310, \"source\": 3, \"target\": 5}, {\"weight\": 9863, \"source\": 3, \"target\": 6}, {\"weight\": 13674, \"source\": 3, \"target\": 7}, {\"weight\": 7981, \"source\": 4, \"target\": 8}, {\"weight\": 14284, \"source\": 4, \"target\": 5}, {\"weight\": 7229, \"source\": 4, \"target\": 6}, {\"weight\": 15707, \"source\": 4, \"target\": 7}, {\"weight\": 7020, \"source\": 5, \"target\": 8}, {\"weight\": 8640, \"source\": 5, \"target\": 6}, {\"weight\": 11525, \"source\": 5, \"target\": 7}, {\"weight\": 2393, \"source\": 6, \"target\": 8}, {\"weight\": 19458, \"source\": 6, \"target\": 7}, {\"weight\": 18374, \"source\": 7, \"target\": 8}]}",
"id": 2053,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAG, ALO, TLT, PTG, YFB, VTZ, PGF, KKE, TIV\n- Travel distances (in kilometers) between each pair of airports:\nMAG to TIV: 14665\nMAG to TLT: 14162\nMAG to YFB: 17090\nMAG to VTZ: 8338\nMAG to PGF: 15816\nMAG to ALO: 15952\nMAG to KKE: 5089\nMAG to PTG: 13361\nALO to TIV: 8483\nALO to TLT: 5640\nALO to YFB: 3523\nALO to VTZ: 13753\nALO to PGF: 7635\nALO to KKE: 13871\nALO to PTG: 14674\nTLT to TIV: 12416\nTLT to YFB: 7248\nTLT to VTZ: 16063\nTLT to PGF: 11753\nTLT to KKE: 12468\nTLT to PTG: 19502\nPTG to TIV: 8772\nPTG to YFB: 15553\nPTG to VTZ: 8310\nPTG to PGF: 9863\nPTG to KKE: 13674\nYFB to TIV: 7981\nYFB to VTZ: 14284\nYFB to PGF: 7229\nYFB to KKE: 15707\nVTZ to TIV: 7020\nVTZ to PGF: 8640\nVTZ to KKE: 11525\nPGF to TIV: 2393\nPGF to KKE: 19458\nKKE to TIV: 18374\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, FMO, ARK, MOF, ULP, LCE, AGH, CZX, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nIAO to CZX: 2738\nIAO to FMO: 11073\nIAO to AGH: 10608\nIAO to KCZ: 3809\nIAO to MOF: 3732\nIAO to LCE: 16013\nIAO to ARK: 11233\nIAO to ULP: 6364\nFMO to CZX: 8650\nFMO to AGH: 1529\nFMO to KCZ: 9610\nFMO to MOF: 12819\nFMO to LCE: 9158\nFMO to ARK: 7584\nFMO to ULP: 15891\nARK to CZX: 10413\nARK to AGH: 8482\nARK to KCZ: 12122\nARK to MOF: 11209\nARK to LCE: 15872\nARK to ULP: 13442\nMOF to CZX: 5385\nMOF to AGH: 12502\nMOF to KCZ: 6456\nMOF to LCE: 18893\nMOF to ULP: 4969\nULP to CZX: 7556\nULP to AGH: 15427\nULP to KCZ: 8455\nULP to LCE: 16229\nLCE to CZX: 14138\nLCE to AGH: 9830\nLCE to KCZ: 13164\nAGH to CZX: 8118\nAGH to KCZ: 9073\nCZX to KCZ: 2439\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59427,
"style": "rule"
}
|
{
"exact_answer": 59427,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAO\", \"id\": 0}, {\"name\": \"FMO\", \"id\": 1}, {\"name\": \"ARK\", \"id\": 2}, {\"name\": \"MOF\", \"id\": 3}, {\"name\": \"ULP\", \"id\": 4}, {\"name\": \"LCE\", \"id\": 5}, {\"name\": \"AGH\", \"id\": 6}, {\"name\": \"CZX\", \"id\": 7}, {\"name\": \"KCZ\", \"id\": 8}], \"links\": [{\"weight\": 2738, \"source\": 0, \"target\": 7}, {\"weight\": 11073, \"source\": 0, \"target\": 1}, {\"weight\": 10608, \"source\": 0, \"target\": 6}, {\"weight\": 3809, \"source\": 0, \"target\": 8}, {\"weight\": 3732, \"source\": 0, \"target\": 3}, {\"weight\": 16013, \"source\": 0, \"target\": 5}, {\"weight\": 11233, \"source\": 0, \"target\": 2}, {\"weight\": 6364, \"source\": 0, \"target\": 4}, {\"weight\": 8650, \"source\": 1, \"target\": 7}, {\"weight\": 1529, \"source\": 1, \"target\": 6}, {\"weight\": 9610, \"source\": 1, \"target\": 8}, {\"weight\": 12819, \"source\": 1, \"target\": 3}, {\"weight\": 9158, \"source\": 1, \"target\": 5}, {\"weight\": 7584, \"source\": 1, \"target\": 2}, {\"weight\": 15891, \"source\": 1, \"target\": 4}, {\"weight\": 10413, \"source\": 2, \"target\": 7}, {\"weight\": 8482, \"source\": 2, \"target\": 6}, {\"weight\": 12122, \"source\": 2, \"target\": 8}, {\"weight\": 11209, \"source\": 2, \"target\": 3}, {\"weight\": 15872, \"source\": 2, \"target\": 5}, {\"weight\": 13442, \"source\": 2, \"target\": 4}, {\"weight\": 5385, \"source\": 3, \"target\": 7}, {\"weight\": 12502, \"source\": 3, \"target\": 6}, {\"weight\": 6456, \"source\": 3, \"target\": 8}, {\"weight\": 18893, \"source\": 3, \"target\": 5}, {\"weight\": 4969, \"source\": 3, \"target\": 4}, {\"weight\": 7556, \"source\": 4, \"target\": 7}, {\"weight\": 15427, \"source\": 4, \"target\": 6}, {\"weight\": 8455, \"source\": 4, \"target\": 8}, {\"weight\": 16229, \"source\": 4, \"target\": 5}, {\"weight\": 14138, \"source\": 5, \"target\": 7}, {\"weight\": 9830, \"source\": 5, \"target\": 6}, {\"weight\": 13164, \"source\": 5, \"target\": 8}, {\"weight\": 8118, \"source\": 6, \"target\": 7}, {\"weight\": 9073, \"source\": 6, \"target\": 8}, {\"weight\": 2439, \"source\": 7, \"target\": 8}]}",
"id": 2054,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAO, FMO, ARK, MOF, ULP, LCE, AGH, CZX, KCZ\n- Travel distances (in kilometers) between each pair of airports:\nIAO to CZX: 2738\nIAO to FMO: 11073\nIAO to AGH: 10608\nIAO to KCZ: 3809\nIAO to MOF: 3732\nIAO to LCE: 16013\nIAO to ARK: 11233\nIAO to ULP: 6364\nFMO to CZX: 8650\nFMO to AGH: 1529\nFMO to KCZ: 9610\nFMO to MOF: 12819\nFMO to LCE: 9158\nFMO to ARK: 7584\nFMO to ULP: 15891\nARK to CZX: 10413\nARK to AGH: 8482\nARK to KCZ: 12122\nARK to MOF: 11209\nARK to LCE: 15872\nARK to ULP: 13442\nMOF to CZX: 5385\nMOF to AGH: 12502\nMOF to KCZ: 6456\nMOF to LCE: 18893\nMOF to ULP: 4969\nULP to CZX: 7556\nULP to AGH: 15427\nULP to KCZ: 8455\nULP to LCE: 16229\nLCE to CZX: 14138\nLCE to AGH: 9830\nLCE to KCZ: 13164\nAGH to CZX: 8118\nAGH to KCZ: 9073\nCZX to KCZ: 2439\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YQU, UUD, BOM, PIH, EIN, CJA, PUU, LIM\n- Travel distances (in kilometers) between each pair of airports:\nATY to LIM: 6850\nATY to BOM: 13852\nATY to PUU: 5573\nATY to YQU: 2454\nATY to PIH: 1741\nATY to EIN: 7177\nATY to UUD: 12586\nATY to CJA: 7414\nYQU to LIM: 8430\nYQU to BOM: 13864\nYQU to PUU: 7236\nYQU to PIH: 1955\nYQU to EIN: 7565\nYQU to UUD: 11184\nYQU to CJA: 8994\nUUD to LIM: 16875\nUUD to BOM: 5645\nUUD to PUU: 15540\nUUD to PIH: 11495\nUUD to EIN: 6448\nUUD to CJA: 17439\nBOM to LIM: 17058\nBOM to PUU: 16097\nBOM to PIH: 14800\nBOM to EIN: 6891\nBOM to CJA: 17622\nPIH to LIM: 7225\nPIH to PUU: 6055\nPIH to EIN: 8700\nPIH to CJA: 7789\nEIN to LIM: 10914\nEIN to PUU: 9649\nEIN to CJA: 11478\nCJA to LIM: 564\nCJA to PUU: 2634\nPUU to LIM: 2070\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47101,
"style": "rule"
}
|
{
"exact_answer": 47101,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ATY\", \"id\": 0}, {\"name\": \"YQU\", \"id\": 1}, {\"name\": \"UUD\", \"id\": 2}, {\"name\": \"BOM\", \"id\": 3}, {\"name\": \"PIH\", \"id\": 4}, {\"name\": \"EIN\", \"id\": 5}, {\"name\": \"CJA\", \"id\": 6}, {\"name\": \"PUU\", \"id\": 7}, {\"name\": \"LIM\", \"id\": 8}], \"links\": [{\"weight\": 6850, \"source\": 0, \"target\": 8}, {\"weight\": 13852, \"source\": 0, \"target\": 3}, {\"weight\": 5573, \"source\": 0, \"target\": 7}, {\"weight\": 2454, \"source\": 0, \"target\": 1}, {\"weight\": 1741, \"source\": 0, \"target\": 4}, {\"weight\": 7177, \"source\": 0, \"target\": 5}, {\"weight\": 12586, \"source\": 0, \"target\": 2}, {\"weight\": 7414, \"source\": 0, \"target\": 6}, {\"weight\": 8430, \"source\": 1, \"target\": 8}, {\"weight\": 13864, \"source\": 1, \"target\": 3}, {\"weight\": 7236, \"source\": 1, \"target\": 7}, {\"weight\": 1955, \"source\": 1, \"target\": 4}, {\"weight\": 7565, \"source\": 1, \"target\": 5}, {\"weight\": 11184, \"source\": 1, \"target\": 2}, {\"weight\": 8994, \"source\": 1, \"target\": 6}, {\"weight\": 16875, \"source\": 2, \"target\": 8}, {\"weight\": 5645, \"source\": 2, \"target\": 3}, {\"weight\": 15540, \"source\": 2, \"target\": 7}, {\"weight\": 11495, \"source\": 2, \"target\": 4}, {\"weight\": 6448, \"source\": 2, \"target\": 5}, {\"weight\": 17439, \"source\": 2, \"target\": 6}, {\"weight\": 17058, \"source\": 3, \"target\": 8}, {\"weight\": 16097, \"source\": 3, \"target\": 7}, {\"weight\": 14800, \"source\": 3, \"target\": 4}, {\"weight\": 6891, \"source\": 3, \"target\": 5}, {\"weight\": 17622, \"source\": 3, \"target\": 6}, {\"weight\": 7225, \"source\": 4, \"target\": 8}, {\"weight\": 6055, \"source\": 4, \"target\": 7}, {\"weight\": 8700, \"source\": 4, \"target\": 5}, {\"weight\": 7789, \"source\": 4, \"target\": 6}, {\"weight\": 10914, \"source\": 5, \"target\": 8}, {\"weight\": 9649, \"source\": 5, \"target\": 7}, {\"weight\": 11478, \"source\": 5, \"target\": 6}, {\"weight\": 564, \"source\": 6, \"target\": 8}, {\"weight\": 2634, \"source\": 6, \"target\": 7}, {\"weight\": 2070, \"source\": 7, \"target\": 8}]}",
"id": 2055,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YQU, UUD, BOM, PIH, EIN, CJA, PUU, LIM\n- Travel distances (in kilometers) between each pair of airports:\nATY to LIM: 6850\nATY to BOM: 13852\nATY to PUU: 5573\nATY to YQU: 2454\nATY to PIH: 1741\nATY to EIN: 7177\nATY to UUD: 12586\nATY to CJA: 7414\nYQU to LIM: 8430\nYQU to BOM: 13864\nYQU to PUU: 7236\nYQU to PIH: 1955\nYQU to EIN: 7565\nYQU to UUD: 11184\nYQU to CJA: 8994\nUUD to LIM: 16875\nUUD to BOM: 5645\nUUD to PUU: 15540\nUUD to PIH: 11495\nUUD to EIN: 6448\nUUD to CJA: 17439\nBOM to LIM: 17058\nBOM to PUU: 16097\nBOM to PIH: 14800\nBOM to EIN: 6891\nBOM to CJA: 17622\nPIH to LIM: 7225\nPIH to PUU: 6055\nPIH to EIN: 8700\nPIH to CJA: 7789\nEIN to LIM: 10914\nEIN to PUU: 9649\nEIN to CJA: 11478\nCJA to LIM: 564\nCJA to PUU: 2634\nPUU to LIM: 2070\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ETH, VCP, SZI, MIG, DSN, ABV, KDV, NMA, DOL\n- Travel distances (in kilometers) between each pair of airports:\nETH to NMA: 3677\nETH to DSN: 6914\nETH to MIG: 7059\nETH to VCP: 11034\nETH to ABV: 4097\nETH to DOL: 4075\nETH to SZI: 5174\nETH to KDV: 16380\nVCP to NMA: 14167\nVCP to DSN: 17404\nVCP to MIG: 17188\nVCP to ABV: 6942\nVCP to DOL: 9777\nVCP to SZI: 15164\nVCP to KDV: 14746\nSZI to NMA: 2054\nSZI to DSN: 3939\nSZI to MIG: 4124\nSZI to ABV: 8692\nSZI to DOL: 6097\nSZI to KDV: 13649\nMIG to NMA: 3806\nMIG to DSN: 1113\nMIG to ABV: 10294\nMIG to DOL: 8544\nMIG to KDV: 9746\nDSN to NMA: 3621\nDSN to ABV: 10467\nDSN to DOL: 8359\nDSN to KDV: 9740\nABV to NMA: 7230\nABV to DOL: 5231\nABV to KDV: 18915\nKDV to NMA: 13328\nKDV to DOL: 17396\nNMA to DOL: 5678\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51523,
"style": "rule"
}
|
{
"exact_answer": 51523,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ETH\", \"id\": 0}, {\"name\": \"VCP\", \"id\": 1}, {\"name\": \"SZI\", \"id\": 2}, {\"name\": \"MIG\", \"id\": 3}, {\"name\": \"DSN\", \"id\": 4}, {\"name\": \"ABV\", \"id\": 5}, {\"name\": \"KDV\", \"id\": 6}, {\"name\": \"NMA\", \"id\": 7}, {\"name\": \"DOL\", \"id\": 8}], \"links\": [{\"weight\": 3677, \"source\": 0, \"target\": 7}, {\"weight\": 6914, \"source\": 0, \"target\": 4}, {\"weight\": 7059, \"source\": 0, \"target\": 3}, {\"weight\": 11034, \"source\": 0, \"target\": 1}, {\"weight\": 4097, \"source\": 0, \"target\": 5}, {\"weight\": 4075, \"source\": 0, \"target\": 8}, {\"weight\": 5174, \"source\": 0, \"target\": 2}, {\"weight\": 16380, \"source\": 0, \"target\": 6}, {\"weight\": 14167, \"source\": 1, \"target\": 7}, {\"weight\": 17404, \"source\": 1, \"target\": 4}, {\"weight\": 17188, \"source\": 1, \"target\": 3}, {\"weight\": 6942, \"source\": 1, \"target\": 5}, {\"weight\": 9777, \"source\": 1, \"target\": 8}, {\"weight\": 15164, \"source\": 1, \"target\": 2}, {\"weight\": 14746, \"source\": 1, \"target\": 6}, {\"weight\": 2054, \"source\": 2, \"target\": 7}, {\"weight\": 3939, \"source\": 2, \"target\": 4}, {\"weight\": 4124, \"source\": 2, \"target\": 3}, {\"weight\": 8692, \"source\": 2, \"target\": 5}, {\"weight\": 6097, \"source\": 2, \"target\": 8}, {\"weight\": 13649, \"source\": 2, \"target\": 6}, {\"weight\": 3806, \"source\": 3, \"target\": 7}, {\"weight\": 1113, \"source\": 3, \"target\": 4}, {\"weight\": 10294, \"source\": 3, \"target\": 5}, {\"weight\": 8544, \"source\": 3, \"target\": 8}, {\"weight\": 9746, \"source\": 3, \"target\": 6}, {\"weight\": 3621, \"source\": 4, \"target\": 7}, {\"weight\": 10467, \"source\": 4, \"target\": 5}, {\"weight\": 8359, \"source\": 4, \"target\": 8}, {\"weight\": 9740, \"source\": 4, \"target\": 6}, {\"weight\": 7230, \"source\": 5, \"target\": 7}, {\"weight\": 5231, \"source\": 5, \"target\": 8}, {\"weight\": 18915, \"source\": 5, \"target\": 6}, {\"weight\": 13328, \"source\": 6, \"target\": 7}, {\"weight\": 17396, \"source\": 6, \"target\": 8}, {\"weight\": 5678, \"source\": 7, \"target\": 8}]}",
"id": 2056,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ETH, VCP, SZI, MIG, DSN, ABV, KDV, NMA, DOL\n- Travel distances (in kilometers) between each pair of airports:\nETH to NMA: 3677\nETH to DSN: 6914\nETH to MIG: 7059\nETH to VCP: 11034\nETH to ABV: 4097\nETH to DOL: 4075\nETH to SZI: 5174\nETH to KDV: 16380\nVCP to NMA: 14167\nVCP to DSN: 17404\nVCP to MIG: 17188\nVCP to ABV: 6942\nVCP to DOL: 9777\nVCP to SZI: 15164\nVCP to KDV: 14746\nSZI to NMA: 2054\nSZI to DSN: 3939\nSZI to MIG: 4124\nSZI to ABV: 8692\nSZI to DOL: 6097\nSZI to KDV: 13649\nMIG to NMA: 3806\nMIG to DSN: 1113\nMIG to ABV: 10294\nMIG to DOL: 8544\nMIG to KDV: 9746\nDSN to NMA: 3621\nDSN to ABV: 10467\nDSN to DOL: 8359\nDSN to KDV: 9740\nABV to NMA: 7230\nABV to DOL: 5231\nABV to KDV: 18915\nKDV to NMA: 13328\nKDV to DOL: 17396\nNMA to DOL: 5678\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVD, ADL, YFO, KPO, PPP, ROW, LYR, ADA, KBR\n- Travel distances (in kilometers) between each pair of airports:\nKVD to ADA: 2151\nKVD to ADL: 12667\nKVD to ROW: 11922\nKVD to KBR: 7232\nKVD to LYR: 4770\nKVD to PPP: 14212\nKVD to YFO: 11408\nKVD to KPO: 7036\nADL to ADA: 13418\nADL to ROW: 15671\nADL to KBR: 5969\nADL to LYR: 16774\nADL to PPP: 2515\nADL to YFO: 15997\nADL to KPO: 8430\nYFO to ADA: 10849\nYFO to ROW: 3315\nYFO to KBR: 15303\nYFO to LYR: 9647\nYFO to PPP: 15272\nYFO to KPO: 11322\nKPO to ADA: 8295\nKPO to ROW: 12508\nKPO to KBR: 4770\nKPO to LYR: 9784\nKPO to PPP: 9077\nPPP to ADA: 15083\nPPP to ROW: 14958\nPPP to KBR: 7604\nPPP to LYR: 17878\nROW to ADA: 11517\nROW to KBR: 16381\nROW to LYR: 10161\nLYR to ADA: 4977\nLYR to KBR: 11078\nADA to KBR: 7962\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55338,
"style": "rule"
}
|
{
"exact_answer": 55338,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KVD\", \"id\": 0}, {\"name\": \"ADL\", \"id\": 1}, {\"name\": \"YFO\", \"id\": 2}, {\"name\": \"KPO\", \"id\": 3}, {\"name\": \"PPP\", \"id\": 4}, {\"name\": \"ROW\", \"id\": 5}, {\"name\": \"LYR\", \"id\": 6}, {\"name\": \"ADA\", \"id\": 7}, {\"name\": \"KBR\", \"id\": 8}], \"links\": [{\"weight\": 2151, \"source\": 0, \"target\": 7}, {\"weight\": 12667, \"source\": 0, \"target\": 1}, {\"weight\": 11922, \"source\": 0, \"target\": 5}, {\"weight\": 7232, \"source\": 0, \"target\": 8}, {\"weight\": 4770, \"source\": 0, \"target\": 6}, {\"weight\": 14212, \"source\": 0, \"target\": 4}, {\"weight\": 11408, \"source\": 0, \"target\": 2}, {\"weight\": 7036, \"source\": 0, \"target\": 3}, {\"weight\": 13418, \"source\": 1, \"target\": 7}, {\"weight\": 15671, \"source\": 1, \"target\": 5}, {\"weight\": 5969, \"source\": 1, \"target\": 8}, {\"weight\": 16774, \"source\": 1, \"target\": 6}, {\"weight\": 2515, \"source\": 1, \"target\": 4}, {\"weight\": 15997, \"source\": 1, \"target\": 2}, {\"weight\": 8430, \"source\": 1, \"target\": 3}, {\"weight\": 10849, \"source\": 2, \"target\": 7}, {\"weight\": 3315, \"source\": 2, \"target\": 5}, {\"weight\": 15303, \"source\": 2, \"target\": 8}, {\"weight\": 9647, \"source\": 2, \"target\": 6}, {\"weight\": 15272, \"source\": 2, \"target\": 4}, {\"weight\": 11322, \"source\": 2, \"target\": 3}, {\"weight\": 8295, \"source\": 3, \"target\": 7}, {\"weight\": 12508, \"source\": 3, \"target\": 5}, {\"weight\": 4770, \"source\": 3, \"target\": 8}, {\"weight\": 9784, \"source\": 3, \"target\": 6}, {\"weight\": 9077, \"source\": 3, \"target\": 4}, {\"weight\": 15083, \"source\": 4, \"target\": 7}, {\"weight\": 14958, \"source\": 4, \"target\": 5}, {\"weight\": 7604, \"source\": 4, \"target\": 8}, {\"weight\": 17878, \"source\": 4, \"target\": 6}, {\"weight\": 11517, \"source\": 5, \"target\": 7}, {\"weight\": 16381, \"source\": 5, \"target\": 8}, {\"weight\": 10161, \"source\": 5, \"target\": 6}, {\"weight\": 4977, \"source\": 6, \"target\": 7}, {\"weight\": 11078, \"source\": 6, \"target\": 8}, {\"weight\": 7962, \"source\": 7, \"target\": 8}]}",
"id": 2057,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVD, ADL, YFO, KPO, PPP, ROW, LYR, ADA, KBR\n- Travel distances (in kilometers) between each pair of airports:\nKVD to ADA: 2151\nKVD to ADL: 12667\nKVD to ROW: 11922\nKVD to KBR: 7232\nKVD to LYR: 4770\nKVD to PPP: 14212\nKVD to YFO: 11408\nKVD to KPO: 7036\nADL to ADA: 13418\nADL to ROW: 15671\nADL to KBR: 5969\nADL to LYR: 16774\nADL to PPP: 2515\nADL to YFO: 15997\nADL to KPO: 8430\nYFO to ADA: 10849\nYFO to ROW: 3315\nYFO to KBR: 15303\nYFO to LYR: 9647\nYFO to PPP: 15272\nYFO to KPO: 11322\nKPO to ADA: 8295\nKPO to ROW: 12508\nKPO to KBR: 4770\nKPO to LYR: 9784\nKPO to PPP: 9077\nPPP to ADA: 15083\nPPP to ROW: 14958\nPPP to KBR: 7604\nPPP to LYR: 17878\nROW to ADA: 11517\nROW to KBR: 16381\nROW to LYR: 10161\nLYR to ADA: 4977\nLYR to KBR: 11078\nADA to KBR: 7962\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CBS, URE, FYU, PJM, KSO, OKJ, SJU, IGA, MBE\n- Travel distances (in kilometers) between each pair of airports:\nCBS to FYU: 9735\nCBS to PJM: 2571\nCBS to SJU: 1352\nCBS to OKJ: 15302\nCBS to KSO: 10217\nCBS to MBE: 15777\nCBS to IGA: 3147\nCBS to URE: 9985\nURE to FYU: 11181\nURE to PJM: 10567\nURE to SJU: 8899\nURE to OKJ: 8023\nURE to KSO: 2940\nURE to MBE: 9348\nURE to IGA: 9166\nFYU to PJM: 8396\nFYU to SJU: 8551\nFYU to OKJ: 10945\nFYU to KSO: 13062\nFYU to MBE: 11420\nFYU to IGA: 7912\nPJM to SJU: 2400\nPJM to OKJ: 13921\nPJM to KSO: 11427\nPJM to MBE: 14396\nPJM to IGA: 2885\nKSO to SJU: 9497\nKSO to OKJ: 9569\nKSO to MBE: 11068\nKSO to IGA: 10359\nOKJ to SJU: 14250\nOKJ to MBE: 1565\nOKJ to IGA: 13492\nSJU to MBE: 14725\nSJU to IGA: 1989\nIGA to MBE: 13967\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48165,
"style": "rule"
}
|
{
"exact_answer": 48165,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CBS\", \"id\": 0}, {\"name\": \"URE\", \"id\": 1}, {\"name\": \"FYU\", \"id\": 2}, {\"name\": \"PJM\", \"id\": 3}, {\"name\": \"KSO\", \"id\": 4}, {\"name\": \"OKJ\", \"id\": 5}, {\"name\": \"SJU\", \"id\": 6}, {\"name\": \"IGA\", \"id\": 7}, {\"name\": \"MBE\", \"id\": 8}], \"links\": [{\"weight\": 9735, \"source\": 0, \"target\": 2}, {\"weight\": 2571, \"source\": 0, \"target\": 3}, {\"weight\": 1352, \"source\": 0, \"target\": 6}, {\"weight\": 15302, \"source\": 0, \"target\": 5}, {\"weight\": 10217, \"source\": 0, \"target\": 4}, {\"weight\": 15777, \"source\": 0, \"target\": 8}, {\"weight\": 3147, \"source\": 0, \"target\": 7}, {\"weight\": 9985, \"source\": 0, \"target\": 1}, {\"weight\": 11181, \"source\": 1, \"target\": 2}, {\"weight\": 10567, \"source\": 1, \"target\": 3}, {\"weight\": 8899, \"source\": 1, \"target\": 6}, {\"weight\": 8023, \"source\": 1, \"target\": 5}, {\"weight\": 2940, \"source\": 1, \"target\": 4}, {\"weight\": 9348, \"source\": 1, \"target\": 8}, {\"weight\": 9166, \"source\": 1, \"target\": 7}, {\"weight\": 8396, \"source\": 2, \"target\": 3}, {\"weight\": 8551, \"source\": 2, \"target\": 6}, {\"weight\": 10945, \"source\": 2, \"target\": 5}, {\"weight\": 13062, \"source\": 2, \"target\": 4}, {\"weight\": 11420, \"source\": 2, \"target\": 8}, {\"weight\": 7912, \"source\": 2, \"target\": 7}, {\"weight\": 2400, \"source\": 3, \"target\": 6}, {\"weight\": 13921, \"source\": 3, \"target\": 5}, {\"weight\": 11427, \"source\": 3, \"target\": 4}, {\"weight\": 14396, \"source\": 3, \"target\": 8}, {\"weight\": 2885, \"source\": 3, \"target\": 7}, {\"weight\": 9497, \"source\": 4, \"target\": 6}, {\"weight\": 9569, \"source\": 4, \"target\": 5}, {\"weight\": 11068, \"source\": 4, \"target\": 8}, {\"weight\": 10359, \"source\": 4, \"target\": 7}, {\"weight\": 14250, \"source\": 5, \"target\": 6}, {\"weight\": 1565, \"source\": 5, \"target\": 8}, {\"weight\": 13492, \"source\": 5, \"target\": 7}, {\"weight\": 14725, \"source\": 6, \"target\": 8}, {\"weight\": 1989, \"source\": 6, \"target\": 7}, {\"weight\": 13967, \"source\": 7, \"target\": 8}]}",
"id": 2058,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CBS, URE, FYU, PJM, KSO, OKJ, SJU, IGA, MBE\n- Travel distances (in kilometers) between each pair of airports:\nCBS to FYU: 9735\nCBS to PJM: 2571\nCBS to SJU: 1352\nCBS to OKJ: 15302\nCBS to KSO: 10217\nCBS to MBE: 15777\nCBS to IGA: 3147\nCBS to URE: 9985\nURE to FYU: 11181\nURE to PJM: 10567\nURE to SJU: 8899\nURE to OKJ: 8023\nURE to KSO: 2940\nURE to MBE: 9348\nURE to IGA: 9166\nFYU to PJM: 8396\nFYU to SJU: 8551\nFYU to OKJ: 10945\nFYU to KSO: 13062\nFYU to MBE: 11420\nFYU to IGA: 7912\nPJM to SJU: 2400\nPJM to OKJ: 13921\nPJM to KSO: 11427\nPJM to MBE: 14396\nPJM to IGA: 2885\nKSO to SJU: 9497\nKSO to OKJ: 9569\nKSO to MBE: 11068\nKSO to IGA: 10359\nOKJ to SJU: 14250\nOKJ to MBE: 1565\nOKJ to IGA: 13492\nSJU to MBE: 14725\nSJU to IGA: 1989\nIGA to MBE: 13967\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKS, SKG, ACU, ANG, RRG, KOI, YHI, TIH, KUA\n- Travel distances (in kilometers) between each pair of airports:\nRKS to SKG: 10045\nRKS to YHI: 3618\nRKS to ACU: 4999\nRKS to KOI: 7845\nRKS to KUA: 14551\nRKS to ANG: 10092\nRKS to RRG: 18294\nRKS to TIH: 8127\nSKG to YHI: 10811\nSKG to ACU: 11431\nSKG to KOI: 2804\nSKG to KUA: 9078\nSKG to ANG: 2507\nSKG to RRG: 8644\nSKG to TIH: 17775\nACU to YHI: 8131\nACU to KOI: 9747\nACU to KUA: 19359\nACU to ANG: 11184\nACU to RRG: 17387\nACU to TIH: 11995\nANG to YHI: 10945\nANG to KOI: 2994\nANG to KUA: 11511\nANG to RRG: 10543\nANG to TIH: 17853\nRRG to YHI: 19076\nRRG to KOI: 11060\nRRG to KUA: 6245\nRRG to TIH: 16195\nKOI to YHI: 8581\nKOI to KUA: 10823\nKOI to TIH: 15692\nYHI to KUA: 15759\nYHI to TIH: 11062\nTIH to KUA: 12815\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62398,
"style": "rule"
}
|
{
"exact_answer": 62398,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RKS\", \"id\": 0}, {\"name\": \"SKG\", \"id\": 1}, {\"name\": \"ACU\", \"id\": 2}, {\"name\": \"ANG\", \"id\": 3}, {\"name\": \"RRG\", \"id\": 4}, {\"name\": \"KOI\", \"id\": 5}, {\"name\": \"YHI\", \"id\": 6}, {\"name\": \"TIH\", \"id\": 7}, {\"name\": \"KUA\", \"id\": 8}], \"links\": [{\"weight\": 10045, \"source\": 0, \"target\": 1}, {\"weight\": 3618, \"source\": 0, \"target\": 6}, {\"weight\": 4999, \"source\": 0, \"target\": 2}, {\"weight\": 7845, \"source\": 0, \"target\": 5}, {\"weight\": 14551, \"source\": 0, \"target\": 8}, {\"weight\": 10092, \"source\": 0, \"target\": 3}, {\"weight\": 18294, \"source\": 0, \"target\": 4}, {\"weight\": 8127, \"source\": 0, \"target\": 7}, {\"weight\": 10811, \"source\": 1, \"target\": 6}, {\"weight\": 11431, \"source\": 1, \"target\": 2}, {\"weight\": 2804, \"source\": 1, \"target\": 5}, {\"weight\": 9078, \"source\": 1, \"target\": 8}, {\"weight\": 2507, \"source\": 1, \"target\": 3}, {\"weight\": 8644, \"source\": 1, \"target\": 4}, {\"weight\": 17775, \"source\": 1, \"target\": 7}, {\"weight\": 8131, \"source\": 2, \"target\": 6}, {\"weight\": 9747, \"source\": 2, \"target\": 5}, {\"weight\": 19359, \"source\": 2, \"target\": 8}, {\"weight\": 11184, \"source\": 2, \"target\": 3}, {\"weight\": 17387, \"source\": 2, \"target\": 4}, {\"weight\": 11995, \"source\": 2, \"target\": 7}, {\"weight\": 10945, \"source\": 3, \"target\": 6}, {\"weight\": 2994, \"source\": 3, \"target\": 5}, {\"weight\": 11511, \"source\": 3, \"target\": 8}, {\"weight\": 10543, \"source\": 3, \"target\": 4}, {\"weight\": 17853, \"source\": 3, \"target\": 7}, {\"weight\": 19076, \"source\": 4, \"target\": 6}, {\"weight\": 11060, \"source\": 4, \"target\": 5}, {\"weight\": 6245, \"source\": 4, \"target\": 8}, {\"weight\": 16195, \"source\": 4, \"target\": 7}, {\"weight\": 8581, \"source\": 5, \"target\": 6}, {\"weight\": 10823, \"source\": 5, \"target\": 8}, {\"weight\": 15692, \"source\": 5, \"target\": 7}, {\"weight\": 15759, \"source\": 6, \"target\": 8}, {\"weight\": 11062, \"source\": 6, \"target\": 7}, {\"weight\": 12815, \"source\": 7, \"target\": 8}]}",
"id": 2059,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKS, SKG, ACU, ANG, RRG, KOI, YHI, TIH, KUA\n- Travel distances (in kilometers) between each pair of airports:\nRKS to SKG: 10045\nRKS to YHI: 3618\nRKS to ACU: 4999\nRKS to KOI: 7845\nRKS to KUA: 14551\nRKS to ANG: 10092\nRKS to RRG: 18294\nRKS to TIH: 8127\nSKG to YHI: 10811\nSKG to ACU: 11431\nSKG to KOI: 2804\nSKG to KUA: 9078\nSKG to ANG: 2507\nSKG to RRG: 8644\nSKG to TIH: 17775\nACU to YHI: 8131\nACU to KOI: 9747\nACU to KUA: 19359\nACU to ANG: 11184\nACU to RRG: 17387\nACU to TIH: 11995\nANG to YHI: 10945\nANG to KOI: 2994\nANG to KUA: 11511\nANG to RRG: 10543\nANG to TIH: 17853\nRRG to YHI: 19076\nRRG to KOI: 11060\nRRG to KUA: 6245\nRRG to TIH: 16195\nKOI to YHI: 8581\nKOI to KUA: 10823\nKOI to TIH: 15692\nYHI to KUA: 15759\nYHI to TIH: 11062\nTIH to KUA: 12815\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLC, GDT, JUU, CGO, ZRH, LUH, OIT, COD, YNB\n- Travel distances (in kilometers) between each pair of airports:\nOLC to ZRH: 10514\nOLC to CGO: 17900\nOLC to GDT: 4488\nOLC to LUH: 16760\nOLC to COD: 8242\nOLC to YNB: 13256\nOLC to OIT: 17655\nOLC to JUU: 12552\nGDT to ZRH: 8026\nGDT to CGO: 13863\nGDT to LUH: 14231\nGDT to COD: 4414\nGDT to YNB: 11526\nGDT to OIT: 13652\nGDT to JUU: 8552\nJUU to ZRH: 4896\nJUU to CGO: 11680\nJUU to LUH: 10095\nJUU to COD: 8620\nJUU to YNB: 8046\nJUU to OIT: 12393\nCGO to ZRH: 8394\nCGO to LUH: 3923\nCGO to COD: 10916\nCGO to YNB: 7527\nCGO to OIT: 1830\nZRH to LUH: 6425\nZRH to COD: 8913\nZRH to YNB: 3679\nZRH to OIT: 9395\nLUH to COD: 14299\nLUH to YNB: 4181\nLUH to OIT: 5579\nOIT to COD: 10063\nOIT to YNB: 9019\nCOD to YNB: 12556\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49854,
"style": "rule"
}
|
{
"exact_answer": 49854,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OLC\", \"id\": 0}, {\"name\": \"GDT\", \"id\": 1}, {\"name\": \"JUU\", \"id\": 2}, {\"name\": \"CGO\", \"id\": 3}, {\"name\": \"ZRH\", \"id\": 4}, {\"name\": \"LUH\", \"id\": 5}, {\"name\": \"OIT\", \"id\": 6}, {\"name\": \"COD\", \"id\": 7}, {\"name\": \"YNB\", \"id\": 8}], \"links\": [{\"weight\": 10514, \"source\": 0, \"target\": 4}, {\"weight\": 17900, \"source\": 0, \"target\": 3}, {\"weight\": 4488, \"source\": 0, \"target\": 1}, {\"weight\": 16760, \"source\": 0, \"target\": 5}, {\"weight\": 8242, \"source\": 0, \"target\": 7}, {\"weight\": 13256, \"source\": 0, \"target\": 8}, {\"weight\": 17655, \"source\": 0, \"target\": 6}, {\"weight\": 12552, \"source\": 0, \"target\": 2}, {\"weight\": 8026, \"source\": 1, \"target\": 4}, {\"weight\": 13863, \"source\": 1, \"target\": 3}, {\"weight\": 14231, \"source\": 1, \"target\": 5}, {\"weight\": 4414, \"source\": 1, \"target\": 7}, {\"weight\": 11526, \"source\": 1, \"target\": 8}, {\"weight\": 13652, \"source\": 1, \"target\": 6}, {\"weight\": 8552, \"source\": 1, \"target\": 2}, {\"weight\": 4896, \"source\": 2, \"target\": 4}, {\"weight\": 11680, \"source\": 2, \"target\": 3}, {\"weight\": 10095, \"source\": 2, \"target\": 5}, {\"weight\": 8620, \"source\": 2, \"target\": 7}, {\"weight\": 8046, \"source\": 2, \"target\": 8}, {\"weight\": 12393, \"source\": 2, \"target\": 6}, {\"weight\": 8394, \"source\": 3, \"target\": 4}, {\"weight\": 3923, \"source\": 3, \"target\": 5}, {\"weight\": 10916, \"source\": 3, \"target\": 7}, {\"weight\": 7527, \"source\": 3, \"target\": 8}, {\"weight\": 1830, \"source\": 3, \"target\": 6}, {\"weight\": 6425, \"source\": 4, \"target\": 5}, {\"weight\": 8913, \"source\": 4, \"target\": 7}, {\"weight\": 3679, \"source\": 4, \"target\": 8}, {\"weight\": 9395, \"source\": 4, \"target\": 6}, {\"weight\": 14299, \"source\": 5, \"target\": 7}, {\"weight\": 4181, \"source\": 5, \"target\": 8}, {\"weight\": 5579, \"source\": 5, \"target\": 6}, {\"weight\": 10063, \"source\": 6, \"target\": 7}, {\"weight\": 9019, \"source\": 6, \"target\": 8}, {\"weight\": 12556, \"source\": 7, \"target\": 8}]}",
"id": 2060,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLC, GDT, JUU, CGO, ZRH, LUH, OIT, COD, YNB\n- Travel distances (in kilometers) between each pair of airports:\nOLC to ZRH: 10514\nOLC to CGO: 17900\nOLC to GDT: 4488\nOLC to LUH: 16760\nOLC to COD: 8242\nOLC to YNB: 13256\nOLC to OIT: 17655\nOLC to JUU: 12552\nGDT to ZRH: 8026\nGDT to CGO: 13863\nGDT to LUH: 14231\nGDT to COD: 4414\nGDT to YNB: 11526\nGDT to OIT: 13652\nGDT to JUU: 8552\nJUU to ZRH: 4896\nJUU to CGO: 11680\nJUU to LUH: 10095\nJUU to COD: 8620\nJUU to YNB: 8046\nJUU to OIT: 12393\nCGO to ZRH: 8394\nCGO to LUH: 3923\nCGO to COD: 10916\nCGO to YNB: 7527\nCGO to OIT: 1830\nZRH to LUH: 6425\nZRH to COD: 8913\nZRH to YNB: 3679\nZRH to OIT: 9395\nLUH to COD: 14299\nLUH to YNB: 4181\nLUH to OIT: 5579\nOIT to COD: 10063\nOIT to YNB: 9019\nCOD to YNB: 12556\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKS, GEO, MKY, UME, BIL, FEG, MXL, ASW, TLJ\n- Travel distances (in kilometers) between each pair of airports:\nTKS to FEG: 6760\nTKS to TLJ: 10905\nTKS to BIL: 9273\nTKS to MXL: 10750\nTKS to UME: 9412\nTKS to GEO: 15753\nTKS to MKY: 7278\nTKS to ASW: 10745\nGEO to FEG: 13031\nGEO to TLJ: 9938\nGEO to BIL: 6653\nGEO to MXL: 6781\nGEO to UME: 9496\nGEO to MKY: 18717\nGEO to ASW: 11675\nMKY to FEG: 11203\nMKY to TLJ: 13195\nMKY to BIL: 13627\nMKY to MXL: 13771\nMKY to UME: 14865\nMKY to ASW: 13586\nUME to FEG: 4739\nUME to TLJ: 11126\nUME to BIL: 9066\nUME to MXL: 10363\nUME to ASW: 4610\nBIL to FEG: 12772\nBIL to TLJ: 3762\nBIL to MXL: 2491\nBIL to ASW: 11867\nFEG to TLJ: 14823\nFEG to MXL: 14060\nFEG to ASW: 4531\nMXL to TLJ: 5524\nMXL to ASW: 13727\nASW to TLJ: 14510\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58904,
"style": "rule"
}
|
{
"exact_answer": 58904,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TKS\", \"id\": 0}, {\"name\": \"GEO\", \"id\": 1}, {\"name\": \"MKY\", \"id\": 2}, {\"name\": \"UME\", \"id\": 3}, {\"name\": \"BIL\", \"id\": 4}, {\"name\": \"FEG\", \"id\": 5}, {\"name\": \"MXL\", \"id\": 6}, {\"name\": \"ASW\", \"id\": 7}, {\"name\": \"TLJ\", \"id\": 8}], \"links\": [{\"weight\": 6760, \"source\": 0, \"target\": 5}, {\"weight\": 10905, \"source\": 0, \"target\": 8}, {\"weight\": 9273, \"source\": 0, \"target\": 4}, {\"weight\": 10750, \"source\": 0, \"target\": 6}, {\"weight\": 9412, \"source\": 0, \"target\": 3}, {\"weight\": 15753, \"source\": 0, \"target\": 1}, {\"weight\": 7278, \"source\": 0, \"target\": 2}, {\"weight\": 10745, \"source\": 0, \"target\": 7}, {\"weight\": 13031, \"source\": 1, \"target\": 5}, {\"weight\": 9938, \"source\": 1, \"target\": 8}, {\"weight\": 6653, \"source\": 1, \"target\": 4}, {\"weight\": 6781, \"source\": 1, \"target\": 6}, {\"weight\": 9496, \"source\": 1, \"target\": 3}, {\"weight\": 18717, \"source\": 1, \"target\": 2}, {\"weight\": 11675, \"source\": 1, \"target\": 7}, {\"weight\": 11203, \"source\": 2, \"target\": 5}, {\"weight\": 13195, \"source\": 2, \"target\": 8}, {\"weight\": 13627, \"source\": 2, \"target\": 4}, {\"weight\": 13771, \"source\": 2, \"target\": 6}, {\"weight\": 14865, \"source\": 2, \"target\": 3}, {\"weight\": 13586, \"source\": 2, \"target\": 7}, {\"weight\": 4739, \"source\": 3, \"target\": 5}, {\"weight\": 11126, \"source\": 3, \"target\": 8}, {\"weight\": 9066, \"source\": 3, \"target\": 4}, {\"weight\": 10363, \"source\": 3, \"target\": 6}, {\"weight\": 4610, \"source\": 3, \"target\": 7}, {\"weight\": 12772, \"source\": 4, \"target\": 5}, {\"weight\": 3762, \"source\": 4, \"target\": 8}, {\"weight\": 2491, \"source\": 4, \"target\": 6}, {\"weight\": 11867, \"source\": 4, \"target\": 7}, {\"weight\": 14823, \"source\": 5, \"target\": 8}, {\"weight\": 14060, \"source\": 5, \"target\": 6}, {\"weight\": 4531, \"source\": 5, \"target\": 7}, {\"weight\": 5524, \"source\": 6, \"target\": 8}, {\"weight\": 13727, \"source\": 6, \"target\": 7}, {\"weight\": 14510, \"source\": 7, \"target\": 8}]}",
"id": 2061,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKS, GEO, MKY, UME, BIL, FEG, MXL, ASW, TLJ\n- Travel distances (in kilometers) between each pair of airports:\nTKS to FEG: 6760\nTKS to TLJ: 10905\nTKS to BIL: 9273\nTKS to MXL: 10750\nTKS to UME: 9412\nTKS to GEO: 15753\nTKS to MKY: 7278\nTKS to ASW: 10745\nGEO to FEG: 13031\nGEO to TLJ: 9938\nGEO to BIL: 6653\nGEO to MXL: 6781\nGEO to UME: 9496\nGEO to MKY: 18717\nGEO to ASW: 11675\nMKY to FEG: 11203\nMKY to TLJ: 13195\nMKY to BIL: 13627\nMKY to MXL: 13771\nMKY to UME: 14865\nMKY to ASW: 13586\nUME to FEG: 4739\nUME to TLJ: 11126\nUME to BIL: 9066\nUME to MXL: 10363\nUME to ASW: 4610\nBIL to FEG: 12772\nBIL to TLJ: 3762\nBIL to MXL: 2491\nBIL to ASW: 11867\nFEG to TLJ: 14823\nFEG to MXL: 14060\nFEG to ASW: 4531\nMXL to TLJ: 5524\nMXL to ASW: 13727\nASW to TLJ: 14510\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSD, RIW, DLU, MCO, PPG, TRV, LEQ, KKE, BDB\n- Travel distances (in kilometers) between each pair of airports:\nKSD to MCO: 8071\nKSD to TRV: 7916\nKSD to DLU: 7930\nKSD to PPG: 16686\nKSD to LEQ: 2205\nKSD to KKE: 17530\nKSD to BDB: 15699\nKSD to RIW: 8602\nRIW to MCO: 2961\nRIW to TRV: 15979\nRIW to DLU: 12965\nRIW to PPG: 10084\nRIW to LEQ: 8385\nRIW to KKE: 12555\nRIW to BDB: 13680\nDLU to MCO: 14390\nDLU to TRV: 3730\nDLU to PPG: 14316\nDLU to LEQ: 9458\nDLU to KKE: 10808\nDLU to BDB: 8664\nMCO to TRV: 15313\nMCO to PPG: 11846\nMCO to LEQ: 7169\nMCO to KKE: 14257\nMCO to BDB: 15232\nPPG to TRV: 17479\nPPG to LEQ: 16423\nPPG to KKE: 11499\nPPG to BDB: 12041\nTRV to LEQ: 8914\nTRV to KKE: 11561\nTRV to BDB: 9431\nLEQ to KKE: 19215\nLEQ to BDB: 17352\nKKE to BDB: 2791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57019,
"style": "rule"
}
|
{
"exact_answer": 57019,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KSD\", \"id\": 0}, {\"name\": \"RIW\", \"id\": 1}, {\"name\": \"DLU\", \"id\": 2}, {\"name\": \"MCO\", \"id\": 3}, {\"name\": \"PPG\", \"id\": 4}, {\"name\": \"TRV\", \"id\": 5}, {\"name\": \"LEQ\", \"id\": 6}, {\"name\": \"KKE\", \"id\": 7}, {\"name\": \"BDB\", \"id\": 8}], \"links\": [{\"weight\": 8071, \"source\": 0, \"target\": 3}, {\"weight\": 7916, \"source\": 0, \"target\": 5}, {\"weight\": 7930, \"source\": 0, \"target\": 2}, {\"weight\": 16686, \"source\": 0, \"target\": 4}, {\"weight\": 2205, \"source\": 0, \"target\": 6}, {\"weight\": 17530, \"source\": 0, \"target\": 7}, {\"weight\": 15699, \"source\": 0, \"target\": 8}, {\"weight\": 8602, \"source\": 0, \"target\": 1}, {\"weight\": 2961, \"source\": 1, \"target\": 3}, {\"weight\": 15979, \"source\": 1, \"target\": 5}, {\"weight\": 12965, \"source\": 1, \"target\": 2}, {\"weight\": 10084, \"source\": 1, \"target\": 4}, {\"weight\": 8385, \"source\": 1, \"target\": 6}, {\"weight\": 12555, \"source\": 1, \"target\": 7}, {\"weight\": 13680, \"source\": 1, \"target\": 8}, {\"weight\": 14390, \"source\": 2, \"target\": 3}, {\"weight\": 3730, \"source\": 2, \"target\": 5}, {\"weight\": 14316, \"source\": 2, \"target\": 4}, {\"weight\": 9458, \"source\": 2, \"target\": 6}, {\"weight\": 10808, \"source\": 2, \"target\": 7}, {\"weight\": 8664, \"source\": 2, \"target\": 8}, {\"weight\": 15313, \"source\": 3, \"target\": 5}, {\"weight\": 11846, \"source\": 3, \"target\": 4}, {\"weight\": 7169, \"source\": 3, \"target\": 6}, {\"weight\": 14257, \"source\": 3, \"target\": 7}, {\"weight\": 15232, \"source\": 3, \"target\": 8}, {\"weight\": 17479, \"source\": 4, \"target\": 5}, {\"weight\": 16423, \"source\": 4, \"target\": 6}, {\"weight\": 11499, \"source\": 4, \"target\": 7}, {\"weight\": 12041, \"source\": 4, \"target\": 8}, {\"weight\": 8914, \"source\": 5, \"target\": 6}, {\"weight\": 11561, \"source\": 5, \"target\": 7}, {\"weight\": 9431, \"source\": 5, \"target\": 8}, {\"weight\": 19215, \"source\": 6, \"target\": 7}, {\"weight\": 17352, \"source\": 6, \"target\": 8}, {\"weight\": 2791, \"source\": 7, \"target\": 8}]}",
"id": 2062,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSD, RIW, DLU, MCO, PPG, TRV, LEQ, KKE, BDB\n- Travel distances (in kilometers) between each pair of airports:\nKSD to MCO: 8071\nKSD to TRV: 7916\nKSD to DLU: 7930\nKSD to PPG: 16686\nKSD to LEQ: 2205\nKSD to KKE: 17530\nKSD to BDB: 15699\nKSD to RIW: 8602\nRIW to MCO: 2961\nRIW to TRV: 15979\nRIW to DLU: 12965\nRIW to PPG: 10084\nRIW to LEQ: 8385\nRIW to KKE: 12555\nRIW to BDB: 13680\nDLU to MCO: 14390\nDLU to TRV: 3730\nDLU to PPG: 14316\nDLU to LEQ: 9458\nDLU to KKE: 10808\nDLU to BDB: 8664\nMCO to TRV: 15313\nMCO to PPG: 11846\nMCO to LEQ: 7169\nMCO to KKE: 14257\nMCO to BDB: 15232\nPPG to TRV: 17479\nPPG to LEQ: 16423\nPPG to KKE: 11499\nPPG to BDB: 12041\nTRV to LEQ: 8914\nTRV to KKE: 11561\nTRV to BDB: 9431\nLEQ to KKE: 19215\nLEQ to BDB: 17352\nKKE to BDB: 2791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHR, ARI, VIX, DPO, SVQ, GAN, VIG, THN, NLD\n- Travel distances (in kilometers) between each pair of airports:\nSHR to SVQ: 8719\nSHR to VIX: 10074\nSHR to NLD: 3801\nSHR to THN: 9022\nSHR to ARI: 8296\nSHR to GAN: 16751\nSHR to DPO: 15130\nSHR to VIG: 6076\nARI to SVQ: 10168\nARI to VIX: 3426\nARI to NLD: 6525\nARI to THN: 12694\nARI to GAN: 18049\nARI to DPO: 14127\nARI to VIG: 4336\nVIX to SVQ: 7563\nVIX to NLD: 8681\nVIX to THN: 10665\nVIX to GAN: 15624\nVIX to DPO: 15797\nVIX to VIG: 5383\nDPO to SVQ: 18025\nDPO to NLD: 16558\nDPO to THN: 16369\nDPO to GAN: 10089\nDPO to VIG: 17921\nSVQ to NLD: 9938\nSVQ to THN: 3314\nSVQ to GAN: 9520\nSVQ to VIG: 7379\nGAN to NLD: 18734\nGAN to THN: 8751\nGAN to VIG: 16733\nVIG to NLD: 5024\nVIG to THN: 9841\nTHN to NLD: 11026\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61434,
"style": "rule"
}
|
{
"exact_answer": 61434,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SHR\", \"id\": 0}, {\"name\": \"ARI\", \"id\": 1}, {\"name\": \"VIX\", \"id\": 2}, {\"name\": \"DPO\", \"id\": 3}, {\"name\": \"SVQ\", \"id\": 4}, {\"name\": \"GAN\", \"id\": 5}, {\"name\": \"VIG\", \"id\": 6}, {\"name\": \"THN\", \"id\": 7}, {\"name\": \"NLD\", \"id\": 8}], \"links\": [{\"weight\": 8719, \"source\": 0, \"target\": 4}, {\"weight\": 10074, \"source\": 0, \"target\": 2}, {\"weight\": 3801, \"source\": 0, \"target\": 8}, {\"weight\": 9022, \"source\": 0, \"target\": 7}, {\"weight\": 8296, \"source\": 0, \"target\": 1}, {\"weight\": 16751, \"source\": 0, \"target\": 5}, {\"weight\": 15130, \"source\": 0, \"target\": 3}, {\"weight\": 6076, \"source\": 0, \"target\": 6}, {\"weight\": 10168, \"source\": 1, \"target\": 4}, {\"weight\": 3426, \"source\": 1, \"target\": 2}, {\"weight\": 6525, \"source\": 1, \"target\": 8}, {\"weight\": 12694, \"source\": 1, \"target\": 7}, {\"weight\": 18049, \"source\": 1, \"target\": 5}, {\"weight\": 14127, \"source\": 1, \"target\": 3}, {\"weight\": 4336, \"source\": 1, \"target\": 6}, {\"weight\": 7563, \"source\": 2, \"target\": 4}, {\"weight\": 8681, \"source\": 2, \"target\": 8}, {\"weight\": 10665, \"source\": 2, \"target\": 7}, {\"weight\": 15624, \"source\": 2, \"target\": 5}, {\"weight\": 15797, \"source\": 2, \"target\": 3}, {\"weight\": 5383, \"source\": 2, \"target\": 6}, {\"weight\": 18025, \"source\": 3, \"target\": 4}, {\"weight\": 16558, \"source\": 3, \"target\": 8}, {\"weight\": 16369, \"source\": 3, \"target\": 7}, {\"weight\": 10089, \"source\": 3, \"target\": 5}, {\"weight\": 17921, \"source\": 3, \"target\": 6}, {\"weight\": 9938, \"source\": 4, \"target\": 8}, {\"weight\": 3314, \"source\": 4, \"target\": 7}, {\"weight\": 9520, \"source\": 4, \"target\": 5}, {\"weight\": 7379, \"source\": 4, \"target\": 6}, {\"weight\": 18734, \"source\": 5, \"target\": 8}, {\"weight\": 8751, \"source\": 5, \"target\": 7}, {\"weight\": 16733, \"source\": 5, \"target\": 6}, {\"weight\": 5024, \"source\": 6, \"target\": 8}, {\"weight\": 9841, \"source\": 6, \"target\": 7}, {\"weight\": 11026, \"source\": 7, \"target\": 8}]}",
"id": 2063,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SHR, ARI, VIX, DPO, SVQ, GAN, VIG, THN, NLD\n- Travel distances (in kilometers) between each pair of airports:\nSHR to SVQ: 8719\nSHR to VIX: 10074\nSHR to NLD: 3801\nSHR to THN: 9022\nSHR to ARI: 8296\nSHR to GAN: 16751\nSHR to DPO: 15130\nSHR to VIG: 6076\nARI to SVQ: 10168\nARI to VIX: 3426\nARI to NLD: 6525\nARI to THN: 12694\nARI to GAN: 18049\nARI to DPO: 14127\nARI to VIG: 4336\nVIX to SVQ: 7563\nVIX to NLD: 8681\nVIX to THN: 10665\nVIX to GAN: 15624\nVIX to DPO: 15797\nVIX to VIG: 5383\nDPO to SVQ: 18025\nDPO to NLD: 16558\nDPO to THN: 16369\nDPO to GAN: 10089\nDPO to VIG: 17921\nSVQ to NLD: 9938\nSVQ to THN: 3314\nSVQ to GAN: 9520\nSVQ to VIG: 7379\nGAN to NLD: 18734\nGAN to THN: 8751\nGAN to VIG: 16733\nVIG to NLD: 5024\nVIG to THN: 9841\nTHN to NLD: 11026\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAU, KPO, MKP, UPG, ALG, WSN, DOK, NYU, GSE\n- Travel distances (in kilometers) between each pair of airports:\nDAU to ALG: 15748\nDAU to NYU: 7578\nDAU to UPG: 4593\nDAU to GSE: 14292\nDAU to DOK: 13202\nDAU to WSN: 13892\nDAU to KPO: 6994\nDAU to MKP: 8932\nKPO to ALG: 10321\nKPO to NYU: 3782\nKPO to UPG: 5022\nKPO to GSE: 8504\nKPO to DOK: 7817\nKPO to WSN: 11988\nKPO to MKP: 11663\nMKP to ALG: 17363\nMKP to NYU: 14767\nMKP to UPG: 11845\nMKP to GSE: 16691\nMKP to DOK: 17888\nMKP to WSN: 10014\nUPG to ALG: 12763\nUPG to NYU: 4291\nUPG to GSE: 11997\nUPG to DOK: 10233\nUPG to WSN: 15947\nALG to NYU: 9649\nALG to GSE: 2428\nALG to DOK: 3234\nALG to WSN: 12135\nWSN to NYU: 14503\nWSN to GSE: 10948\nWSN to DOK: 12609\nDOK to NYU: 7035\nDOK to GSE: 2126\nNYU to GSE: 9017\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55988,
"style": "rule"
}
|
{
"exact_answer": 55988,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DAU\", \"id\": 0}, {\"name\": \"KPO\", \"id\": 1}, {\"name\": \"MKP\", \"id\": 2}, {\"name\": \"UPG\", \"id\": 3}, {\"name\": \"ALG\", \"id\": 4}, {\"name\": \"WSN\", \"id\": 5}, {\"name\": \"DOK\", \"id\": 6}, {\"name\": \"NYU\", \"id\": 7}, {\"name\": \"GSE\", \"id\": 8}], \"links\": [{\"weight\": 15748, \"source\": 0, \"target\": 4}, {\"weight\": 7578, \"source\": 0, \"target\": 7}, {\"weight\": 4593, \"source\": 0, \"target\": 3}, {\"weight\": 14292, \"source\": 0, \"target\": 8}, {\"weight\": 13202, \"source\": 0, \"target\": 6}, {\"weight\": 13892, \"source\": 0, \"target\": 5}, {\"weight\": 6994, \"source\": 0, \"target\": 1}, {\"weight\": 8932, \"source\": 0, \"target\": 2}, {\"weight\": 10321, \"source\": 1, \"target\": 4}, {\"weight\": 3782, \"source\": 1, \"target\": 7}, {\"weight\": 5022, \"source\": 1, \"target\": 3}, {\"weight\": 8504, \"source\": 1, \"target\": 8}, {\"weight\": 7817, \"source\": 1, \"target\": 6}, {\"weight\": 11988, \"source\": 1, \"target\": 5}, {\"weight\": 11663, \"source\": 1, \"target\": 2}, {\"weight\": 17363, \"source\": 2, \"target\": 4}, {\"weight\": 14767, \"source\": 2, \"target\": 7}, {\"weight\": 11845, \"source\": 2, \"target\": 3}, {\"weight\": 16691, \"source\": 2, \"target\": 8}, {\"weight\": 17888, \"source\": 2, \"target\": 6}, {\"weight\": 10014, \"source\": 2, \"target\": 5}, {\"weight\": 12763, \"source\": 3, \"target\": 4}, {\"weight\": 4291, \"source\": 3, \"target\": 7}, {\"weight\": 11997, \"source\": 3, \"target\": 8}, {\"weight\": 10233, \"source\": 3, \"target\": 6}, {\"weight\": 15947, \"source\": 3, \"target\": 5}, {\"weight\": 9649, \"source\": 4, \"target\": 7}, {\"weight\": 2428, \"source\": 4, \"target\": 8}, {\"weight\": 3234, \"source\": 4, \"target\": 6}, {\"weight\": 12135, \"source\": 4, \"target\": 5}, {\"weight\": 14503, \"source\": 5, \"target\": 7}, {\"weight\": 10948, \"source\": 5, \"target\": 8}, {\"weight\": 12609, \"source\": 5, \"target\": 6}, {\"weight\": 7035, \"source\": 6, \"target\": 7}, {\"weight\": 2126, \"source\": 6, \"target\": 8}, {\"weight\": 9017, \"source\": 7, \"target\": 8}]}",
"id": 2064,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAU, KPO, MKP, UPG, ALG, WSN, DOK, NYU, GSE\n- Travel distances (in kilometers) between each pair of airports:\nDAU to ALG: 15748\nDAU to NYU: 7578\nDAU to UPG: 4593\nDAU to GSE: 14292\nDAU to DOK: 13202\nDAU to WSN: 13892\nDAU to KPO: 6994\nDAU to MKP: 8932\nKPO to ALG: 10321\nKPO to NYU: 3782\nKPO to UPG: 5022\nKPO to GSE: 8504\nKPO to DOK: 7817\nKPO to WSN: 11988\nKPO to MKP: 11663\nMKP to ALG: 17363\nMKP to NYU: 14767\nMKP to UPG: 11845\nMKP to GSE: 16691\nMKP to DOK: 17888\nMKP to WSN: 10014\nUPG to ALG: 12763\nUPG to NYU: 4291\nUPG to GSE: 11997\nUPG to DOK: 10233\nUPG to WSN: 15947\nALG to NYU: 9649\nALG to GSE: 2428\nALG to DOK: 3234\nALG to WSN: 12135\nWSN to NYU: 14503\nWSN to GSE: 10948\nWSN to DOK: 12609\nDOK to NYU: 7035\nDOK to GSE: 2126\nNYU to GSE: 9017\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPN, UAH, FEG, HUS, BLL, XKH, CAI, BNA, KWF\n- Travel distances (in kilometers) between each pair of airports:\nUPN to FEG: 15091\nUPN to CAI: 14513\nUPN to HUS: 6609\nUPN to BNA: 5173\nUPN to BLL: 11362\nUPN to XKH: 15257\nUPN to UAH: 10380\nUPN to KWF: 5011\nUAH to FEG: 17198\nUAH to CAI: 20319\nUAH to HUS: 11115\nUAH to BNA: 10979\nUAH to BLL: 17168\nUAH to XKH: 15305\nUAH to KWF: 10817\nFEG to CAI: 3834\nFEG to HUS: 14912\nFEG to BNA: 11516\nFEG to BLL: 4780\nFEG to XKH: 5231\nFEG to KWF: 13314\nHUS to CAI: 13902\nHUS to BNA: 5904\nHUS to BLL: 10564\nHUS to XKH: 14459\nHUS to KWF: 2130\nBLL to CAI: 3344\nBLL to BNA: 7168\nBLL to XKH: 9129\nBLL to KWF: 8966\nXKH to CAI: 7851\nXKH to BNA: 14215\nXKH to KWF: 12861\nCAI to BNA: 10228\nCAI to KWF: 12304\nBNA to KWF: 4368\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58307,
"style": "rule"
}
|
{
"exact_answer": 58307,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UPN\", \"id\": 0}, {\"name\": \"UAH\", \"id\": 1}, {\"name\": \"FEG\", \"id\": 2}, {\"name\": \"HUS\", \"id\": 3}, {\"name\": \"BLL\", \"id\": 4}, {\"name\": \"XKH\", \"id\": 5}, {\"name\": \"CAI\", \"id\": 6}, {\"name\": \"BNA\", \"id\": 7}, {\"name\": \"KWF\", \"id\": 8}], \"links\": [{\"weight\": 15091, \"source\": 0, \"target\": 2}, {\"weight\": 14513, \"source\": 0, \"target\": 6}, {\"weight\": 6609, \"source\": 0, \"target\": 3}, {\"weight\": 5173, \"source\": 0, \"target\": 7}, {\"weight\": 11362, \"source\": 0, \"target\": 4}, {\"weight\": 15257, \"source\": 0, \"target\": 5}, {\"weight\": 10380, \"source\": 0, \"target\": 1}, {\"weight\": 5011, \"source\": 0, \"target\": 8}, {\"weight\": 17198, \"source\": 1, \"target\": 2}, {\"weight\": 20319, \"source\": 1, \"target\": 6}, {\"weight\": 11115, \"source\": 1, \"target\": 3}, {\"weight\": 10979, \"source\": 1, \"target\": 7}, {\"weight\": 17168, \"source\": 1, \"target\": 4}, {\"weight\": 15305, \"source\": 1, \"target\": 5}, {\"weight\": 10817, \"source\": 1, \"target\": 8}, {\"weight\": 3834, \"source\": 2, \"target\": 6}, {\"weight\": 14912, \"source\": 2, \"target\": 3}, {\"weight\": 11516, \"source\": 2, \"target\": 7}, {\"weight\": 4780, \"source\": 2, \"target\": 4}, {\"weight\": 5231, \"source\": 2, \"target\": 5}, {\"weight\": 13314, \"source\": 2, \"target\": 8}, {\"weight\": 13902, \"source\": 3, \"target\": 6}, {\"weight\": 5904, \"source\": 3, \"target\": 7}, {\"weight\": 10564, \"source\": 3, \"target\": 4}, {\"weight\": 14459, \"source\": 3, \"target\": 5}, {\"weight\": 2130, \"source\": 3, \"target\": 8}, {\"weight\": 3344, \"source\": 4, \"target\": 6}, {\"weight\": 7168, \"source\": 4, \"target\": 7}, {\"weight\": 9129, \"source\": 4, \"target\": 5}, {\"weight\": 8966, \"source\": 4, \"target\": 8}, {\"weight\": 7851, \"source\": 5, \"target\": 6}, {\"weight\": 14215, \"source\": 5, \"target\": 7}, {\"weight\": 12861, \"source\": 5, \"target\": 8}, {\"weight\": 10228, \"source\": 6, \"target\": 7}, {\"weight\": 12304, \"source\": 6, \"target\": 8}, {\"weight\": 4368, \"source\": 7, \"target\": 8}]}",
"id": 2065,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPN, UAH, FEG, HUS, BLL, XKH, CAI, BNA, KWF\n- Travel distances (in kilometers) between each pair of airports:\nUPN to FEG: 15091\nUPN to CAI: 14513\nUPN to HUS: 6609\nUPN to BNA: 5173\nUPN to BLL: 11362\nUPN to XKH: 15257\nUPN to UAH: 10380\nUPN to KWF: 5011\nUAH to FEG: 17198\nUAH to CAI: 20319\nUAH to HUS: 11115\nUAH to BNA: 10979\nUAH to BLL: 17168\nUAH to XKH: 15305\nUAH to KWF: 10817\nFEG to CAI: 3834\nFEG to HUS: 14912\nFEG to BNA: 11516\nFEG to BLL: 4780\nFEG to XKH: 5231\nFEG to KWF: 13314\nHUS to CAI: 13902\nHUS to BNA: 5904\nHUS to BLL: 10564\nHUS to XKH: 14459\nHUS to KWF: 2130\nBLL to CAI: 3344\nBLL to BNA: 7168\nBLL to XKH: 9129\nBLL to KWF: 8966\nXKH to CAI: 7851\nXKH to BNA: 14215\nXKH to KWF: 12861\nCAI to BNA: 10228\nCAI to KWF: 12304\nBNA to KWF: 4368\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LIL, HSN, MDU, SBP, WTL, ATZ, SZZ, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nPIS to WTL: 11316\nPIS to LIL: 936\nPIS to SBP: 9495\nPIS to HSN: 9882\nPIS to SZZ: 1592\nPIS to ATZ: 3595\nPIS to KCQ: 11371\nPIS to MDU: 15582\nLIL to WTL: 11696\nLIL to SBP: 9770\nLIL to HSN: 9572\nLIL to SZZ: 1864\nLIL to ATZ: 3612\nLIL to KCQ: 11751\nLIL to MDU: 15301\nHSN to WTL: 12364\nHSN to SBP: 10329\nHSN to SZZ: 8581\nHSN to ATZ: 8891\nHSN to KCQ: 12419\nHSN to MDU: 6351\nMDU to WTL: 14211\nMDU to SBP: 13066\nMDU to SZZ: 14309\nMDU to ATZ: 13727\nMDU to KCQ: 14266\nSBP to WTL: 4374\nSBP to SZZ: 9506\nSBP to ATZ: 12654\nSBP to KCQ: 4429\nWTL to SZZ: 11250\nWTL to ATZ: 14490\nWTL to KCQ: 1467\nATZ to SZZ: 3384\nATZ to KCQ: 14545\nSZZ to KCQ: 11305\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50995,
"style": "rule"
}
|
{
"exact_answer": 50995,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PIS\", \"id\": 0}, {\"name\": \"LIL\", \"id\": 1}, {\"name\": \"HSN\", \"id\": 2}, {\"name\": \"MDU\", \"id\": 3}, {\"name\": \"SBP\", \"id\": 4}, {\"name\": \"WTL\", \"id\": 5}, {\"name\": \"ATZ\", \"id\": 6}, {\"name\": \"SZZ\", \"id\": 7}, {\"name\": \"KCQ\", \"id\": 8}], \"links\": [{\"weight\": 11316, \"source\": 0, \"target\": 5}, {\"weight\": 936, \"source\": 0, \"target\": 1}, {\"weight\": 9495, \"source\": 0, \"target\": 4}, {\"weight\": 9882, \"source\": 0, \"target\": 2}, {\"weight\": 1592, \"source\": 0, \"target\": 7}, {\"weight\": 3595, \"source\": 0, \"target\": 6}, {\"weight\": 11371, \"source\": 0, \"target\": 8}, {\"weight\": 15582, \"source\": 0, \"target\": 3}, {\"weight\": 11696, \"source\": 1, \"target\": 5}, {\"weight\": 9770, \"source\": 1, \"target\": 4}, {\"weight\": 9572, \"source\": 1, \"target\": 2}, {\"weight\": 1864, \"source\": 1, \"target\": 7}, {\"weight\": 3612, \"source\": 1, \"target\": 6}, {\"weight\": 11751, \"source\": 1, \"target\": 8}, {\"weight\": 15301, \"source\": 1, \"target\": 3}, {\"weight\": 12364, \"source\": 2, \"target\": 5}, {\"weight\": 10329, \"source\": 2, \"target\": 4}, {\"weight\": 8581, \"source\": 2, \"target\": 7}, {\"weight\": 8891, \"source\": 2, \"target\": 6}, {\"weight\": 12419, \"source\": 2, \"target\": 8}, {\"weight\": 6351, \"source\": 2, \"target\": 3}, {\"weight\": 14211, \"source\": 3, \"target\": 5}, {\"weight\": 13066, \"source\": 3, \"target\": 4}, {\"weight\": 14309, \"source\": 3, \"target\": 7}, {\"weight\": 13727, \"source\": 3, \"target\": 6}, {\"weight\": 14266, \"source\": 3, \"target\": 8}, {\"weight\": 4374, \"source\": 4, \"target\": 5}, {\"weight\": 9506, \"source\": 4, \"target\": 7}, {\"weight\": 12654, \"source\": 4, \"target\": 6}, {\"weight\": 4429, \"source\": 4, \"target\": 8}, {\"weight\": 11250, \"source\": 5, \"target\": 7}, {\"weight\": 14490, \"source\": 5, \"target\": 6}, {\"weight\": 1467, \"source\": 5, \"target\": 8}, {\"weight\": 3384, \"source\": 6, \"target\": 7}, {\"weight\": 14545, \"source\": 6, \"target\": 8}, {\"weight\": 11305, \"source\": 7, \"target\": 8}]}",
"id": 2066,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LIL, HSN, MDU, SBP, WTL, ATZ, SZZ, KCQ\n- Travel distances (in kilometers) between each pair of airports:\nPIS to WTL: 11316\nPIS to LIL: 936\nPIS to SBP: 9495\nPIS to HSN: 9882\nPIS to SZZ: 1592\nPIS to ATZ: 3595\nPIS to KCQ: 11371\nPIS to MDU: 15582\nLIL to WTL: 11696\nLIL to SBP: 9770\nLIL to HSN: 9572\nLIL to SZZ: 1864\nLIL to ATZ: 3612\nLIL to KCQ: 11751\nLIL to MDU: 15301\nHSN to WTL: 12364\nHSN to SBP: 10329\nHSN to SZZ: 8581\nHSN to ATZ: 8891\nHSN to KCQ: 12419\nHSN to MDU: 6351\nMDU to WTL: 14211\nMDU to SBP: 13066\nMDU to SZZ: 14309\nMDU to ATZ: 13727\nMDU to KCQ: 14266\nSBP to WTL: 4374\nSBP to SZZ: 9506\nSBP to ATZ: 12654\nSBP to KCQ: 4429\nWTL to SZZ: 11250\nWTL to ATZ: 14490\nWTL to KCQ: 1467\nATZ to SZZ: 3384\nATZ to KCQ: 14545\nSZZ to KCQ: 11305\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, OAG, KIM, MCI, CFN, LBV, YZT, DOL, CIT\n- Travel distances (in kilometers) between each pair of airports:\nBAL to YZT: 11315\nBAL to MCI: 10533\nBAL to LBV: 6056\nBAL to DOL: 3796\nBAL to CFN: 4246\nBAL to CIT: 4070\nBAL to KIM: 8783\nBAL to OAG: 15537\nOAG to YZT: 13040\nOAG to MCI: 14448\nOAG to LBV: 14803\nOAG to DOL: 17439\nOAG to CFN: 17648\nOAG to CIT: 12275\nOAG to KIM: 11676\nKIM to YZT: 17447\nKIM to MCI: 15056\nKIM to LBV: 4033\nKIM to DOL: 9868\nKIM to CFN: 10199\nKIM to CIT: 9167\nMCI to YZT: 2936\nMCI to LBV: 11192\nMCI to DOL: 7258\nMCI to CFN: 6767\nMCI to CIT: 11473\nCFN to YZT: 7680\nCFN to LBV: 6317\nCFN to DOL: 941\nCFN to CIT: 5735\nLBV to YZT: 13672\nLBV to DOL: 6133\nLBV to CIT: 8211\nYZT to DOL: 8224\nYZT to CIT: 12094\nDOL to CIT: 5448\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54967,
"style": "rule"
}
|
{
"exact_answer": 54967,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BAL\", \"id\": 0}, {\"name\": \"OAG\", \"id\": 1}, {\"name\": \"KIM\", \"id\": 2}, {\"name\": \"MCI\", \"id\": 3}, {\"name\": \"CFN\", \"id\": 4}, {\"name\": \"LBV\", \"id\": 5}, {\"name\": \"YZT\", \"id\": 6}, {\"name\": \"DOL\", \"id\": 7}, {\"name\": \"CIT\", \"id\": 8}], \"links\": [{\"weight\": 11315, \"source\": 0, \"target\": 6}, {\"weight\": 10533, \"source\": 0, \"target\": 3}, {\"weight\": 6056, \"source\": 0, \"target\": 5}, {\"weight\": 3796, \"source\": 0, \"target\": 7}, {\"weight\": 4246, \"source\": 0, \"target\": 4}, {\"weight\": 4070, \"source\": 0, \"target\": 8}, {\"weight\": 8783, \"source\": 0, \"target\": 2}, {\"weight\": 15537, \"source\": 0, \"target\": 1}, {\"weight\": 13040, \"source\": 1, \"target\": 6}, {\"weight\": 14448, \"source\": 1, \"target\": 3}, {\"weight\": 14803, \"source\": 1, \"target\": 5}, {\"weight\": 17439, \"source\": 1, \"target\": 7}, {\"weight\": 17648, \"source\": 1, \"target\": 4}, {\"weight\": 12275, \"source\": 1, \"target\": 8}, {\"weight\": 11676, \"source\": 1, \"target\": 2}, {\"weight\": 17447, \"source\": 2, \"target\": 6}, {\"weight\": 15056, \"source\": 2, \"target\": 3}, {\"weight\": 4033, \"source\": 2, \"target\": 5}, {\"weight\": 9868, \"source\": 2, \"target\": 7}, {\"weight\": 10199, \"source\": 2, \"target\": 4}, {\"weight\": 9167, \"source\": 2, \"target\": 8}, {\"weight\": 2936, \"source\": 3, \"target\": 6}, {\"weight\": 11192, \"source\": 3, \"target\": 5}, {\"weight\": 7258, \"source\": 3, \"target\": 7}, {\"weight\": 6767, \"source\": 3, \"target\": 4}, {\"weight\": 11473, \"source\": 3, \"target\": 8}, {\"weight\": 7680, \"source\": 4, \"target\": 6}, {\"weight\": 6317, \"source\": 4, \"target\": 5}, {\"weight\": 941, \"source\": 4, \"target\": 7}, {\"weight\": 5735, \"source\": 4, \"target\": 8}, {\"weight\": 13672, \"source\": 5, \"target\": 6}, {\"weight\": 6133, \"source\": 5, \"target\": 7}, {\"weight\": 8211, \"source\": 5, \"target\": 8}, {\"weight\": 8224, \"source\": 6, \"target\": 7}, {\"weight\": 12094, \"source\": 6, \"target\": 8}, {\"weight\": 5448, \"source\": 7, \"target\": 8}]}",
"id": 2067,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, OAG, KIM, MCI, CFN, LBV, YZT, DOL, CIT\n- Travel distances (in kilometers) between each pair of airports:\nBAL to YZT: 11315\nBAL to MCI: 10533\nBAL to LBV: 6056\nBAL to DOL: 3796\nBAL to CFN: 4246\nBAL to CIT: 4070\nBAL to KIM: 8783\nBAL to OAG: 15537\nOAG to YZT: 13040\nOAG to MCI: 14448\nOAG to LBV: 14803\nOAG to DOL: 17439\nOAG to CFN: 17648\nOAG to CIT: 12275\nOAG to KIM: 11676\nKIM to YZT: 17447\nKIM to MCI: 15056\nKIM to LBV: 4033\nKIM to DOL: 9868\nKIM to CFN: 10199\nKIM to CIT: 9167\nMCI to YZT: 2936\nMCI to LBV: 11192\nMCI to DOL: 7258\nMCI to CFN: 6767\nMCI to CIT: 11473\nCFN to YZT: 7680\nCFN to LBV: 6317\nCFN to DOL: 941\nCFN to CIT: 5735\nLBV to YZT: 13672\nLBV to DOL: 6133\nLBV to CIT: 8211\nYZT to DOL: 8224\nYZT to CIT: 12094\nDOL to CIT: 5448\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CYS, TLT, YHI, RJA, APL, KKC, YCL, PXU, AOR\n- Travel distances (in kilometers) between each pair of airports:\nCYS to TLT: 4704\nCYS to YHI: 3693\nCYS to RJA: 15138\nCYS to AOR: 15153\nCYS to KKC: 14100\nCYS to APL: 16035\nCYS to YCL: 3942\nCYS to PXU: 13337\nTLT to YHI: 5877\nTLT to RJA: 16841\nTLT to AOR: 16414\nTLT to KKC: 15381\nTLT to APL: 19089\nTLT to YCL: 7474\nTLT to PXU: 14601\nYHI to RJA: 16147\nYHI to AOR: 15965\nYHI to KKC: 14934\nYHI to APL: 17147\nYHI to YCL: 5015\nYHI to PXU: 14171\nRJA to AOR: 3784\nRJA to KKC: 3158\nRJA to APL: 7062\nRJA to YCL: 13086\nRJA to PXU: 3879\nAPL to AOR: 9395\nAPL to KKC: 9156\nAPL to YCL: 13386\nAPL to PXU: 9877\nKKC to AOR: 1938\nKKC to YCL: 14930\nKKC to PXU: 1477\nYCL to AOR: 15986\nYCL to PXU: 15063\nPXU to AOR: 1843\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55400,
"style": "rule"
}
|
{
"exact_answer": 55400,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CYS\", \"id\": 0}, {\"name\": \"TLT\", \"id\": 1}, {\"name\": \"YHI\", \"id\": 2}, {\"name\": \"RJA\", \"id\": 3}, {\"name\": \"APL\", \"id\": 4}, {\"name\": \"KKC\", \"id\": 5}, {\"name\": \"YCL\", \"id\": 6}, {\"name\": \"PXU\", \"id\": 7}, {\"name\": \"AOR\", \"id\": 8}], \"links\": [{\"weight\": 4704, \"source\": 0, \"target\": 1}, {\"weight\": 3693, \"source\": 0, \"target\": 2}, {\"weight\": 15138, \"source\": 0, \"target\": 3}, {\"weight\": 15153, \"source\": 0, \"target\": 8}, {\"weight\": 14100, \"source\": 0, \"target\": 5}, {\"weight\": 16035, \"source\": 0, \"target\": 4}, {\"weight\": 3942, \"source\": 0, \"target\": 6}, {\"weight\": 13337, \"source\": 0, \"target\": 7}, {\"weight\": 5877, \"source\": 1, \"target\": 2}, {\"weight\": 16841, \"source\": 1, \"target\": 3}, {\"weight\": 16414, \"source\": 1, \"target\": 8}, {\"weight\": 15381, \"source\": 1, \"target\": 5}, {\"weight\": 19089, \"source\": 1, \"target\": 4}, {\"weight\": 7474, \"source\": 1, \"target\": 6}, {\"weight\": 14601, \"source\": 1, \"target\": 7}, {\"weight\": 16147, \"source\": 2, \"target\": 3}, {\"weight\": 15965, \"source\": 2, \"target\": 8}, {\"weight\": 14934, \"source\": 2, \"target\": 5}, {\"weight\": 17147, \"source\": 2, \"target\": 4}, {\"weight\": 5015, \"source\": 2, \"target\": 6}, {\"weight\": 14171, \"source\": 2, \"target\": 7}, {\"weight\": 3784, \"source\": 3, \"target\": 8}, {\"weight\": 3158, \"source\": 3, \"target\": 5}, {\"weight\": 7062, \"source\": 3, \"target\": 4}, {\"weight\": 13086, \"source\": 3, \"target\": 6}, {\"weight\": 3879, \"source\": 3, \"target\": 7}, {\"weight\": 9395, \"source\": 4, \"target\": 8}, {\"weight\": 9156, \"source\": 4, \"target\": 5}, {\"weight\": 13386, \"source\": 4, \"target\": 6}, {\"weight\": 9877, \"source\": 4, \"target\": 7}, {\"weight\": 1938, \"source\": 5, \"target\": 8}, {\"weight\": 14930, \"source\": 5, \"target\": 6}, {\"weight\": 1477, \"source\": 5, \"target\": 7}, {\"weight\": 15986, \"source\": 6, \"target\": 8}, {\"weight\": 15063, \"source\": 6, \"target\": 7}, {\"weight\": 1843, \"source\": 7, \"target\": 8}]}",
"id": 2068,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CYS, TLT, YHI, RJA, APL, KKC, YCL, PXU, AOR\n- Travel distances (in kilometers) between each pair of airports:\nCYS to TLT: 4704\nCYS to YHI: 3693\nCYS to RJA: 15138\nCYS to AOR: 15153\nCYS to KKC: 14100\nCYS to APL: 16035\nCYS to YCL: 3942\nCYS to PXU: 13337\nTLT to YHI: 5877\nTLT to RJA: 16841\nTLT to AOR: 16414\nTLT to KKC: 15381\nTLT to APL: 19089\nTLT to YCL: 7474\nTLT to PXU: 14601\nYHI to RJA: 16147\nYHI to AOR: 15965\nYHI to KKC: 14934\nYHI to APL: 17147\nYHI to YCL: 5015\nYHI to PXU: 14171\nRJA to AOR: 3784\nRJA to KKC: 3158\nRJA to APL: 7062\nRJA to YCL: 13086\nRJA to PXU: 3879\nAPL to AOR: 9395\nAPL to KKC: 9156\nAPL to YCL: 13386\nAPL to PXU: 9877\nKKC to AOR: 1938\nKKC to YCL: 14930\nKKC to PXU: 1477\nYCL to AOR: 15986\nYCL to PXU: 15063\nPXU to AOR: 1843\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVL, FCA, AZA, YGX, YCY, RAS, TVY, IQQ, OTH\n- Travel distances (in kilometers) between each pair of airports:\nKVL to IQQ: 12775\nKVL to YCY: 8304\nKVL to TVY: 15634\nKVL to FCA: 3937\nKVL to RAS: 15546\nKVL to AZA: 5152\nKVL to OTH: 3755\nKVL to YGX: 5982\nFCA to IQQ: 9116\nFCA to YCY: 5581\nFCA to TVY: 12911\nFCA to RAS: 12822\nFCA to AZA: 1805\nFCA to OTH: 1089\nFCA to YGX: 3017\nAZA to IQQ: 8692\nAZA to YCY: 5941\nAZA to TVY: 14143\nAZA to RAS: 13215\nAZA to OTH: 1771\nAZA to YGX: 3287\nYGX to IQQ: 9160\nYGX to YCY: 2972\nYGX to TVY: 14716\nYGX to RAS: 12547\nYGX to OTH: 3082\nYCY to IQQ: 10301\nYCY to TVY: 16315\nYCY to RAS: 11738\nYCY to OTH: 5456\nRAS to IQQ: 14720\nRAS to TVY: 5488\nRAS to OTH: 12698\nTVY to IQQ: 19546\nTVY to OTH: 12786\nIQQ to OTH: 9504\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59051,
"style": "rule"
}
|
{
"exact_answer": 59051,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KVL\", \"id\": 0}, {\"name\": \"FCA\", \"id\": 1}, {\"name\": \"AZA\", \"id\": 2}, {\"name\": \"YGX\", \"id\": 3}, {\"name\": \"YCY\", \"id\": 4}, {\"name\": \"RAS\", \"id\": 5}, {\"name\": \"TVY\", \"id\": 6}, {\"name\": \"IQQ\", \"id\": 7}, {\"name\": \"OTH\", \"id\": 8}], \"links\": [{\"weight\": 12775, \"source\": 0, \"target\": 7}, {\"weight\": 8304, \"source\": 0, \"target\": 4}, {\"weight\": 15634, \"source\": 0, \"target\": 6}, {\"weight\": 3937, \"source\": 0, \"target\": 1}, {\"weight\": 15546, \"source\": 0, \"target\": 5}, {\"weight\": 5152, \"source\": 0, \"target\": 2}, {\"weight\": 3755, \"source\": 0, \"target\": 8}, {\"weight\": 5982, \"source\": 0, \"target\": 3}, {\"weight\": 9116, \"source\": 1, \"target\": 7}, {\"weight\": 5581, \"source\": 1, \"target\": 4}, {\"weight\": 12911, \"source\": 1, \"target\": 6}, {\"weight\": 12822, \"source\": 1, \"target\": 5}, {\"weight\": 1805, \"source\": 1, \"target\": 2}, {\"weight\": 1089, \"source\": 1, \"target\": 8}, {\"weight\": 3017, \"source\": 1, \"target\": 3}, {\"weight\": 8692, \"source\": 2, \"target\": 7}, {\"weight\": 5941, \"source\": 2, \"target\": 4}, {\"weight\": 14143, \"source\": 2, \"target\": 6}, {\"weight\": 13215, \"source\": 2, \"target\": 5}, {\"weight\": 1771, \"source\": 2, \"target\": 8}, {\"weight\": 3287, \"source\": 2, \"target\": 3}, {\"weight\": 9160, \"source\": 3, \"target\": 7}, {\"weight\": 2972, \"source\": 3, \"target\": 4}, {\"weight\": 14716, \"source\": 3, \"target\": 6}, {\"weight\": 12547, \"source\": 3, \"target\": 5}, {\"weight\": 3082, \"source\": 3, \"target\": 8}, {\"weight\": 10301, \"source\": 4, \"target\": 7}, {\"weight\": 16315, \"source\": 4, \"target\": 6}, {\"weight\": 11738, \"source\": 4, \"target\": 5}, {\"weight\": 5456, \"source\": 4, \"target\": 8}, {\"weight\": 14720, \"source\": 5, \"target\": 7}, {\"weight\": 5488, \"source\": 5, \"target\": 6}, {\"weight\": 12698, \"source\": 5, \"target\": 8}, {\"weight\": 19546, \"source\": 6, \"target\": 7}, {\"weight\": 12786, \"source\": 6, \"target\": 8}, {\"weight\": 9504, \"source\": 7, \"target\": 8}]}",
"id": 2069,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVL, FCA, AZA, YGX, YCY, RAS, TVY, IQQ, OTH\n- Travel distances (in kilometers) between each pair of airports:\nKVL to IQQ: 12775\nKVL to YCY: 8304\nKVL to TVY: 15634\nKVL to FCA: 3937\nKVL to RAS: 15546\nKVL to AZA: 5152\nKVL to OTH: 3755\nKVL to YGX: 5982\nFCA to IQQ: 9116\nFCA to YCY: 5581\nFCA to TVY: 12911\nFCA to RAS: 12822\nFCA to AZA: 1805\nFCA to OTH: 1089\nFCA to YGX: 3017\nAZA to IQQ: 8692\nAZA to YCY: 5941\nAZA to TVY: 14143\nAZA to RAS: 13215\nAZA to OTH: 1771\nAZA to YGX: 3287\nYGX to IQQ: 9160\nYGX to YCY: 2972\nYGX to TVY: 14716\nYGX to RAS: 12547\nYGX to OTH: 3082\nYCY to IQQ: 10301\nYCY to TVY: 16315\nYCY to RAS: 11738\nYCY to OTH: 5456\nRAS to IQQ: 14720\nRAS to TVY: 5488\nRAS to OTH: 12698\nTVY to IQQ: 19546\nTVY to OTH: 12786\nIQQ to OTH: 9504\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PBG, OLB, SKU, DTM, GMR, RJH, HAQ, KID\n- Travel distances (in kilometers) between each pair of airports:\nYKL to OLB: 6588\nYKL to RJH: 13394\nYKL to DTM: 6379\nYKL to SKU: 7573\nYKL to PBG: 1905\nYKL to HAQ: 14015\nYKL to GMR: 13345\nYKL to KID: 7121\nPBG to OLB: 6884\nPBG to RJH: 13479\nPBG to DTM: 6103\nPBG to SKU: 7930\nPBG to HAQ: 14356\nPBG to GMR: 12776\nPBG to KID: 6810\nOLB to RJH: 7760\nOLB to DTM: 1308\nOLB to SKU: 1372\nOLB to HAQ: 7878\nOLB to GMR: 18418\nOLB to KID: 2636\nSKU to RJH: 6740\nSKU to DTM: 1917\nSKU to HAQ: 6684\nSKU to GMR: 19334\nSKU to KID: 2843\nDTM to RJH: 7887\nDTM to HAQ: 8295\nDTM to GMR: 17728\nDTM to KID: 2145\nGMR to RJH: 16321\nGMR to HAQ: 17334\nGMR to KID: 17598\nRJH to HAQ: 2879\nRJH to KID: 7670\nHAQ to KID: 8554\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52511,
"style": "rule"
}
|
{
"exact_answer": 52511,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YKL\", \"id\": 0}, {\"name\": \"PBG\", \"id\": 1}, {\"name\": \"OLB\", \"id\": 2}, {\"name\": \"SKU\", \"id\": 3}, {\"name\": \"DTM\", \"id\": 4}, {\"name\": \"GMR\", \"id\": 5}, {\"name\": \"RJH\", \"id\": 6}, {\"name\": \"HAQ\", \"id\": 7}, {\"name\": \"KID\", \"id\": 8}], \"links\": [{\"weight\": 6588, \"source\": 0, \"target\": 2}, {\"weight\": 13394, \"source\": 0, \"target\": 6}, {\"weight\": 6379, \"source\": 0, \"target\": 4}, {\"weight\": 7573, \"source\": 0, \"target\": 3}, {\"weight\": 1905, \"source\": 0, \"target\": 1}, {\"weight\": 14015, \"source\": 0, \"target\": 7}, {\"weight\": 13345, \"source\": 0, \"target\": 5}, {\"weight\": 7121, \"source\": 0, \"target\": 8}, {\"weight\": 6884, \"source\": 1, \"target\": 2}, {\"weight\": 13479, \"source\": 1, \"target\": 6}, {\"weight\": 6103, \"source\": 1, \"target\": 4}, {\"weight\": 7930, \"source\": 1, \"target\": 3}, {\"weight\": 14356, \"source\": 1, \"target\": 7}, {\"weight\": 12776, \"source\": 1, \"target\": 5}, {\"weight\": 6810, \"source\": 1, \"target\": 8}, {\"weight\": 7760, \"source\": 2, \"target\": 6}, {\"weight\": 1308, \"source\": 2, \"target\": 4}, {\"weight\": 1372, \"source\": 2, \"target\": 3}, {\"weight\": 7878, \"source\": 2, \"target\": 7}, {\"weight\": 18418, \"source\": 2, \"target\": 5}, {\"weight\": 2636, \"source\": 2, \"target\": 8}, {\"weight\": 6740, \"source\": 3, \"target\": 6}, {\"weight\": 1917, \"source\": 3, \"target\": 4}, {\"weight\": 6684, \"source\": 3, \"target\": 7}, {\"weight\": 19334, \"source\": 3, \"target\": 5}, {\"weight\": 2843, \"source\": 3, \"target\": 8}, {\"weight\": 7887, \"source\": 4, \"target\": 6}, {\"weight\": 8295, \"source\": 4, \"target\": 7}, {\"weight\": 17728, \"source\": 4, \"target\": 5}, {\"weight\": 2145, \"source\": 4, \"target\": 8}, {\"weight\": 16321, \"source\": 5, \"target\": 6}, {\"weight\": 17334, \"source\": 5, \"target\": 7}, {\"weight\": 17598, \"source\": 5, \"target\": 8}, {\"weight\": 2879, \"source\": 6, \"target\": 7}, {\"weight\": 7670, \"source\": 6, \"target\": 8}, {\"weight\": 8554, \"source\": 7, \"target\": 8}]}",
"id": 2070,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PBG, OLB, SKU, DTM, GMR, RJH, HAQ, KID\n- Travel distances (in kilometers) between each pair of airports:\nYKL to OLB: 6588\nYKL to RJH: 13394\nYKL to DTM: 6379\nYKL to SKU: 7573\nYKL to PBG: 1905\nYKL to HAQ: 14015\nYKL to GMR: 13345\nYKL to KID: 7121\nPBG to OLB: 6884\nPBG to RJH: 13479\nPBG to DTM: 6103\nPBG to SKU: 7930\nPBG to HAQ: 14356\nPBG to GMR: 12776\nPBG to KID: 6810\nOLB to RJH: 7760\nOLB to DTM: 1308\nOLB to SKU: 1372\nOLB to HAQ: 7878\nOLB to GMR: 18418\nOLB to KID: 2636\nSKU to RJH: 6740\nSKU to DTM: 1917\nSKU to HAQ: 6684\nSKU to GMR: 19334\nSKU to KID: 2843\nDTM to RJH: 7887\nDTM to HAQ: 8295\nDTM to GMR: 17728\nDTM to KID: 2145\nGMR to RJH: 16321\nGMR to HAQ: 17334\nGMR to KID: 17598\nRJH to HAQ: 2879\nRJH to KID: 7670\nHAQ to KID: 8554\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, ERC, ELF, VCP, LOP, PTG, CEB, JHG, LGG\n- Travel distances (in kilometers) between each pair of airports:\nKLO to CEB: 232\nKLO to JHG: 2798\nKLO to VCP: 18931\nKLO to LGG: 11360\nKLO to LOP: 3080\nKLO to ELF: 10643\nKLO to ERC: 9853\nKLO to PTG: 11268\nERC to JHG: 7702\nERC to CEB: 10072\nERC to VCP: 11813\nERC to LGG: 3388\nERC to LOP: 10629\nERC to ELF: 4451\nERC to PTG: 8428\nELF to JHG: 8492\nELF to CEB: 10863\nELF to VCP: 10596\nELF to LGG: 5861\nELF to LOP: 10804\nELF to PTG: 5757\nVCP to JHG: 17370\nVCP to CEB: 19023\nVCP to LGG: 9718\nVCP to LOP: 18367\nVCP to PTG: 8227\nLOP to JHG: 4058\nLOP to CEB: 2848\nLOP to LGG: 12748\nLOP to PTG: 10704\nPTG to JHG: 10257\nPTG to CEB: 11360\nPTG to LGG: 9624\nCEB to JHG: 3018\nCEB to LGG: 11579\nJHG to LGG: 9549\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50858,
"style": "rule"
}
|
{
"exact_answer": 50858,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLO\", \"id\": 0}, {\"name\": \"ERC\", \"id\": 1}, {\"name\": \"ELF\", \"id\": 2}, {\"name\": \"VCP\", \"id\": 3}, {\"name\": \"LOP\", \"id\": 4}, {\"name\": \"PTG\", \"id\": 5}, {\"name\": \"CEB\", \"id\": 6}, {\"name\": \"JHG\", \"id\": 7}, {\"name\": \"LGG\", \"id\": 8}], \"links\": [{\"weight\": 232, \"source\": 0, \"target\": 6}, {\"weight\": 2798, \"source\": 0, \"target\": 7}, {\"weight\": 18931, \"source\": 0, \"target\": 3}, {\"weight\": 11360, \"source\": 0, \"target\": 8}, {\"weight\": 3080, \"source\": 0, \"target\": 4}, {\"weight\": 10643, \"source\": 0, \"target\": 2}, {\"weight\": 9853, \"source\": 0, \"target\": 1}, {\"weight\": 11268, \"source\": 0, \"target\": 5}, {\"weight\": 7702, \"source\": 1, \"target\": 7}, {\"weight\": 10072, \"source\": 1, \"target\": 6}, {\"weight\": 11813, \"source\": 1, \"target\": 3}, {\"weight\": 3388, \"source\": 1, \"target\": 8}, {\"weight\": 10629, \"source\": 1, \"target\": 4}, {\"weight\": 4451, \"source\": 1, \"target\": 2}, {\"weight\": 8428, \"source\": 1, \"target\": 5}, {\"weight\": 8492, \"source\": 2, \"target\": 7}, {\"weight\": 10863, \"source\": 2, \"target\": 6}, {\"weight\": 10596, \"source\": 2, \"target\": 3}, {\"weight\": 5861, \"source\": 2, \"target\": 8}, {\"weight\": 10804, \"source\": 2, \"target\": 4}, {\"weight\": 5757, \"source\": 2, \"target\": 5}, {\"weight\": 17370, \"source\": 3, \"target\": 7}, {\"weight\": 19023, \"source\": 3, \"target\": 6}, {\"weight\": 9718, \"source\": 3, \"target\": 8}, {\"weight\": 18367, \"source\": 3, \"target\": 4}, {\"weight\": 8227, \"source\": 3, \"target\": 5}, {\"weight\": 4058, \"source\": 4, \"target\": 7}, {\"weight\": 2848, \"source\": 4, \"target\": 6}, {\"weight\": 12748, \"source\": 4, \"target\": 8}, {\"weight\": 10704, \"source\": 4, \"target\": 5}, {\"weight\": 10257, \"source\": 5, \"target\": 7}, {\"weight\": 11360, \"source\": 5, \"target\": 6}, {\"weight\": 9624, \"source\": 5, \"target\": 8}, {\"weight\": 3018, \"source\": 6, \"target\": 7}, {\"weight\": 11579, \"source\": 6, \"target\": 8}, {\"weight\": 9549, \"source\": 7, \"target\": 8}]}",
"id": 2071,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, ERC, ELF, VCP, LOP, PTG, CEB, JHG, LGG\n- Travel distances (in kilometers) between each pair of airports:\nKLO to CEB: 232\nKLO to JHG: 2798\nKLO to VCP: 18931\nKLO to LGG: 11360\nKLO to LOP: 3080\nKLO to ELF: 10643\nKLO to ERC: 9853\nKLO to PTG: 11268\nERC to JHG: 7702\nERC to CEB: 10072\nERC to VCP: 11813\nERC to LGG: 3388\nERC to LOP: 10629\nERC to ELF: 4451\nERC to PTG: 8428\nELF to JHG: 8492\nELF to CEB: 10863\nELF to VCP: 10596\nELF to LGG: 5861\nELF to LOP: 10804\nELF to PTG: 5757\nVCP to JHG: 17370\nVCP to CEB: 19023\nVCP to LGG: 9718\nVCP to LOP: 18367\nVCP to PTG: 8227\nLOP to JHG: 4058\nLOP to CEB: 2848\nLOP to LGG: 12748\nLOP to PTG: 10704\nPTG to JHG: 10257\nPTG to CEB: 11360\nPTG to LGG: 9624\nCEB to JHG: 3018\nCEB to LGG: 11579\nJHG to LGG: 9549\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KGF, PGK, SBZ, BBI, KTM, LRT, YES, SUJ\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to KTM: 16094\nAUQ to BBI: 16513\nAUQ to LRT: 17614\nAUQ to SUJ: 19051\nAUQ to KGF: 17040\nAUQ to YES: 19269\nAUQ to PGK: 13429\nAUQ to SBZ: 18575\nKGF to KTM: 3214\nKGF to BBI: 3677\nKGF to LRT: 5400\nKGF to SUJ: 4404\nKGF to YES: 3791\nKGF to PGK: 6744\nKGF to SBZ: 4184\nPGK to KTM: 4161\nPGK to BBI: 3904\nPGK to LRT: 11824\nPGK to SUJ: 10133\nPGK to YES: 7944\nPGK to SBZ: 9913\nSBZ to KTM: 5961\nSBZ to BBI: 6498\nSBZ to LRT: 2218\nSBZ to SUJ: 632\nSBZ to YES: 3275\nBBI to KTM: 1022\nBBI to LRT: 8337\nBBI to SUJ: 6718\nBBI to YES: 4457\nKTM to LRT: 7874\nKTM to SUJ: 6181\nKTM to YES: 3994\nLRT to SUJ: 2743\nLRT to YES: 5276\nYES to SUJ: 3495\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49319,
"style": "rule"
}
|
{
"exact_answer": 49319,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AUQ\", \"id\": 0}, {\"name\": \"KGF\", \"id\": 1}, {\"name\": \"PGK\", \"id\": 2}, {\"name\": \"SBZ\", \"id\": 3}, {\"name\": \"BBI\", \"id\": 4}, {\"name\": \"KTM\", \"id\": 5}, {\"name\": \"LRT\", \"id\": 6}, {\"name\": \"YES\", \"id\": 7}, {\"name\": \"SUJ\", \"id\": 8}], \"links\": [{\"weight\": 16094, \"source\": 0, \"target\": 5}, {\"weight\": 16513, \"source\": 0, \"target\": 4}, {\"weight\": 17614, \"source\": 0, \"target\": 6}, {\"weight\": 19051, \"source\": 0, \"target\": 8}, {\"weight\": 17040, \"source\": 0, \"target\": 1}, {\"weight\": 19269, \"source\": 0, \"target\": 7}, {\"weight\": 13429, \"source\": 0, \"target\": 2}, {\"weight\": 18575, \"source\": 0, \"target\": 3}, {\"weight\": 3214, \"source\": 1, \"target\": 5}, {\"weight\": 3677, \"source\": 1, \"target\": 4}, {\"weight\": 5400, \"source\": 1, \"target\": 6}, {\"weight\": 4404, \"source\": 1, \"target\": 8}, {\"weight\": 3791, \"source\": 1, \"target\": 7}, {\"weight\": 6744, \"source\": 1, \"target\": 2}, {\"weight\": 4184, \"source\": 1, \"target\": 3}, {\"weight\": 4161, \"source\": 2, \"target\": 5}, {\"weight\": 3904, \"source\": 2, \"target\": 4}, {\"weight\": 11824, \"source\": 2, \"target\": 6}, {\"weight\": 10133, \"source\": 2, \"target\": 8}, {\"weight\": 7944, \"source\": 2, \"target\": 7}, {\"weight\": 9913, \"source\": 2, \"target\": 3}, {\"weight\": 5961, \"source\": 3, \"target\": 5}, {\"weight\": 6498, \"source\": 3, \"target\": 4}, {\"weight\": 2218, \"source\": 3, \"target\": 6}, {\"weight\": 632, \"source\": 3, \"target\": 8}, {\"weight\": 3275, \"source\": 3, \"target\": 7}, {\"weight\": 1022, \"source\": 4, \"target\": 5}, {\"weight\": 8337, \"source\": 4, \"target\": 6}, {\"weight\": 6718, \"source\": 4, \"target\": 8}, {\"weight\": 4457, \"source\": 4, \"target\": 7}, {\"weight\": 7874, \"source\": 5, \"target\": 6}, {\"weight\": 6181, \"source\": 5, \"target\": 8}, {\"weight\": 3994, \"source\": 5, \"target\": 7}, {\"weight\": 2743, \"source\": 6, \"target\": 8}, {\"weight\": 5276, \"source\": 6, \"target\": 7}, {\"weight\": 3495, \"source\": 7, \"target\": 8}]}",
"id": 2072,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KGF, PGK, SBZ, BBI, KTM, LRT, YES, SUJ\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to KTM: 16094\nAUQ to BBI: 16513\nAUQ to LRT: 17614\nAUQ to SUJ: 19051\nAUQ to KGF: 17040\nAUQ to YES: 19269\nAUQ to PGK: 13429\nAUQ to SBZ: 18575\nKGF to KTM: 3214\nKGF to BBI: 3677\nKGF to LRT: 5400\nKGF to SUJ: 4404\nKGF to YES: 3791\nKGF to PGK: 6744\nKGF to SBZ: 4184\nPGK to KTM: 4161\nPGK to BBI: 3904\nPGK to LRT: 11824\nPGK to SUJ: 10133\nPGK to YES: 7944\nPGK to SBZ: 9913\nSBZ to KTM: 5961\nSBZ to BBI: 6498\nSBZ to LRT: 2218\nSBZ to SUJ: 632\nSBZ to YES: 3275\nBBI to KTM: 1022\nBBI to LRT: 8337\nBBI to SUJ: 6718\nBBI to YES: 4457\nKTM to LRT: 7874\nKTM to SUJ: 6181\nKTM to YES: 3994\nLRT to SUJ: 2743\nLRT to YES: 5276\nYES to SUJ: 3495\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UYU, NAV, KDH, ITH, SVX, TCG, LAQ, YQG, CMH\n- Travel distances (in kilometers) between each pair of airports:\nUYU to SVX: 14784\nUYU to CMH: 6939\nUYU to ITH: 7187\nUYU to YQG: 7589\nUYU to TCG: 17522\nUYU to KDH: 16130\nUYU to LAQ: 12351\nUYU to NAV: 13186\nNAV to SVX: 3410\nNAV to CMH: 9228\nNAV to ITH: 8889\nNAV to YQG: 9050\nNAV to TCG: 5681\nNAV to KDH: 4104\nNAV to LAQ: 3055\nKDH to SVX: 3011\nKDH to CMH: 11887\nKDH to ITH: 11679\nKDH to YQG: 11709\nKDH to TCG: 2966\nKDH to LAQ: 5997\nITH to SVX: 8986\nITH to CMH: 816\nITH to YQG: 1142\nITH to TCG: 11943\nITH to LAQ: 8472\nSVX to CMH: 9194\nSVX to YQG: 9016\nSVX to TCG: 3098\nSVX to LAQ: 5359\nTCG to CMH: 12130\nTCG to YQG: 11952\nTCG to LAQ: 7661\nLAQ to CMH: 8924\nLAQ to YQG: 8749\nYQG to CMH: 802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43395,
"style": "rule"
}
|
{
"exact_answer": 43395,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UYU\", \"id\": 0}, {\"name\": \"NAV\", \"id\": 1}, {\"name\": \"KDH\", \"id\": 2}, {\"name\": \"ITH\", \"id\": 3}, {\"name\": \"SVX\", \"id\": 4}, {\"name\": \"TCG\", \"id\": 5}, {\"name\": \"LAQ\", \"id\": 6}, {\"name\": \"YQG\", \"id\": 7}, {\"name\": \"CMH\", \"id\": 8}], \"links\": [{\"weight\": 14784, \"source\": 0, \"target\": 4}, {\"weight\": 6939, \"source\": 0, \"target\": 8}, {\"weight\": 7187, \"source\": 0, \"target\": 3}, {\"weight\": 7589, \"source\": 0, \"target\": 7}, {\"weight\": 17522, \"source\": 0, \"target\": 5}, {\"weight\": 16130, \"source\": 0, \"target\": 2}, {\"weight\": 12351, \"source\": 0, \"target\": 6}, {\"weight\": 13186, \"source\": 0, \"target\": 1}, {\"weight\": 3410, \"source\": 1, \"target\": 4}, {\"weight\": 9228, \"source\": 1, \"target\": 8}, {\"weight\": 8889, \"source\": 1, \"target\": 3}, {\"weight\": 9050, \"source\": 1, \"target\": 7}, {\"weight\": 5681, \"source\": 1, \"target\": 5}, {\"weight\": 4104, \"source\": 1, \"target\": 2}, {\"weight\": 3055, \"source\": 1, \"target\": 6}, {\"weight\": 3011, \"source\": 2, \"target\": 4}, {\"weight\": 11887, \"source\": 2, \"target\": 8}, {\"weight\": 11679, \"source\": 2, \"target\": 3}, {\"weight\": 11709, \"source\": 2, \"target\": 7}, {\"weight\": 2966, \"source\": 2, \"target\": 5}, {\"weight\": 5997, \"source\": 2, \"target\": 6}, {\"weight\": 8986, \"source\": 3, \"target\": 4}, {\"weight\": 816, \"source\": 3, \"target\": 8}, {\"weight\": 1142, \"source\": 3, \"target\": 7}, {\"weight\": 11943, \"source\": 3, \"target\": 5}, {\"weight\": 8472, \"source\": 3, \"target\": 6}, {\"weight\": 9194, \"source\": 4, \"target\": 8}, {\"weight\": 9016, \"source\": 4, \"target\": 7}, {\"weight\": 3098, \"source\": 4, \"target\": 5}, {\"weight\": 5359, \"source\": 4, \"target\": 6}, {\"weight\": 12130, \"source\": 5, \"target\": 8}, {\"weight\": 11952, \"source\": 5, \"target\": 7}, {\"weight\": 7661, \"source\": 5, \"target\": 6}, {\"weight\": 8924, \"source\": 6, \"target\": 8}, {\"weight\": 8749, \"source\": 6, \"target\": 7}, {\"weight\": 802, \"source\": 7, \"target\": 8}]}",
"id": 2073,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UYU, NAV, KDH, ITH, SVX, TCG, LAQ, YQG, CMH\n- Travel distances (in kilometers) between each pair of airports:\nUYU to SVX: 14784\nUYU to CMH: 6939\nUYU to ITH: 7187\nUYU to YQG: 7589\nUYU to TCG: 17522\nUYU to KDH: 16130\nUYU to LAQ: 12351\nUYU to NAV: 13186\nNAV to SVX: 3410\nNAV to CMH: 9228\nNAV to ITH: 8889\nNAV to YQG: 9050\nNAV to TCG: 5681\nNAV to KDH: 4104\nNAV to LAQ: 3055\nKDH to SVX: 3011\nKDH to CMH: 11887\nKDH to ITH: 11679\nKDH to YQG: 11709\nKDH to TCG: 2966\nKDH to LAQ: 5997\nITH to SVX: 8986\nITH to CMH: 816\nITH to YQG: 1142\nITH to TCG: 11943\nITH to LAQ: 8472\nSVX to CMH: 9194\nSVX to YQG: 9016\nSVX to TCG: 3098\nSVX to LAQ: 5359\nTCG to CMH: 12130\nTCG to YQG: 11952\nTCG to LAQ: 7661\nLAQ to CMH: 8924\nLAQ to YQG: 8749\nYQG to CMH: 802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZE, CJS, MXH, MLB, BOS, IKS, CSH, ALA, MXV\n- Travel distances (in kilometers) between each pair of airports:\nCZE to CJS: 5297\nCZE to CSH: 10906\nCZE to ALA: 13470\nCZE to BOS: 3860\nCZE to MLB: 4136\nCZE to MXH: 18993\nCZE to MXV: 15316\nCZE to IKS: 15812\nCJS to CSH: 11139\nCJS to ALA: 13744\nCJS to BOS: 3809\nCJS to MLB: 3188\nCJS to MXH: 14242\nCJS to MXV: 12911\nCJS to IKS: 14044\nMXH to CSH: 13807\nMXH to ALA: 9732\nMXH to BOS: 16393\nMXH to MLB: 16675\nMXH to MXV: 8827\nMXH to IKS: 9727\nMLB to CSH: 9548\nMLB to ALA: 12153\nMLB to BOS: 1960\nMLB to MXV: 13711\nMLB to IKS: 14454\nBOS to CSH: 7620\nBOS to ALA: 10225\nBOS to MXV: 12128\nBOS to IKS: 12526\nIKS to CSH: 6912\nIKS to ALA: 5201\nIKS to MXV: 4716\nCSH to ALA: 4341\nCSH to MXV: 6157\nALA to MXV: 3066\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54896,
"style": "rule"
}
|
{
"exact_answer": 54896,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZE\", \"id\": 0}, {\"name\": \"CJS\", \"id\": 1}, {\"name\": \"MXH\", \"id\": 2}, {\"name\": \"MLB\", \"id\": 3}, {\"name\": \"BOS\", \"id\": 4}, {\"name\": \"IKS\", \"id\": 5}, {\"name\": \"CSH\", \"id\": 6}, {\"name\": \"ALA\", \"id\": 7}, {\"name\": \"MXV\", \"id\": 8}], \"links\": [{\"weight\": 5297, \"source\": 0, \"target\": 1}, {\"weight\": 10906, \"source\": 0, \"target\": 6}, {\"weight\": 13470, \"source\": 0, \"target\": 7}, {\"weight\": 3860, \"source\": 0, \"target\": 4}, {\"weight\": 4136, \"source\": 0, \"target\": 3}, {\"weight\": 18993, \"source\": 0, \"target\": 2}, {\"weight\": 15316, \"source\": 0, \"target\": 8}, {\"weight\": 15812, \"source\": 0, \"target\": 5}, {\"weight\": 11139, \"source\": 1, \"target\": 6}, {\"weight\": 13744, \"source\": 1, \"target\": 7}, {\"weight\": 3809, \"source\": 1, \"target\": 4}, {\"weight\": 3188, \"source\": 1, \"target\": 3}, {\"weight\": 14242, \"source\": 1, \"target\": 2}, {\"weight\": 12911, \"source\": 1, \"target\": 8}, {\"weight\": 14044, \"source\": 1, \"target\": 5}, {\"weight\": 13807, \"source\": 2, \"target\": 6}, {\"weight\": 9732, \"source\": 2, \"target\": 7}, {\"weight\": 16393, \"source\": 2, \"target\": 4}, {\"weight\": 16675, \"source\": 2, \"target\": 3}, {\"weight\": 8827, \"source\": 2, \"target\": 8}, {\"weight\": 9727, \"source\": 2, \"target\": 5}, {\"weight\": 9548, \"source\": 3, \"target\": 6}, {\"weight\": 12153, \"source\": 3, \"target\": 7}, {\"weight\": 1960, \"source\": 3, \"target\": 4}, {\"weight\": 13711, \"source\": 3, \"target\": 8}, {\"weight\": 14454, \"source\": 3, \"target\": 5}, {\"weight\": 7620, \"source\": 4, \"target\": 6}, {\"weight\": 10225, \"source\": 4, \"target\": 7}, {\"weight\": 12128, \"source\": 4, \"target\": 8}, {\"weight\": 12526, \"source\": 4, \"target\": 5}, {\"weight\": 6912, \"source\": 5, \"target\": 6}, {\"weight\": 5201, \"source\": 5, \"target\": 7}, {\"weight\": 4716, \"source\": 5, \"target\": 8}, {\"weight\": 4341, \"source\": 6, \"target\": 7}, {\"weight\": 6157, \"source\": 6, \"target\": 8}, {\"weight\": 3066, \"source\": 7, \"target\": 8}]}",
"id": 2074,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZE, CJS, MXH, MLB, BOS, IKS, CSH, ALA, MXV\n- Travel distances (in kilometers) between each pair of airports:\nCZE to CJS: 5297\nCZE to CSH: 10906\nCZE to ALA: 13470\nCZE to BOS: 3860\nCZE to MLB: 4136\nCZE to MXH: 18993\nCZE to MXV: 15316\nCZE to IKS: 15812\nCJS to CSH: 11139\nCJS to ALA: 13744\nCJS to BOS: 3809\nCJS to MLB: 3188\nCJS to MXH: 14242\nCJS to MXV: 12911\nCJS to IKS: 14044\nMXH to CSH: 13807\nMXH to ALA: 9732\nMXH to BOS: 16393\nMXH to MLB: 16675\nMXH to MXV: 8827\nMXH to IKS: 9727\nMLB to CSH: 9548\nMLB to ALA: 12153\nMLB to BOS: 1960\nMLB to MXV: 13711\nMLB to IKS: 14454\nBOS to CSH: 7620\nBOS to ALA: 10225\nBOS to MXV: 12128\nBOS to IKS: 12526\nIKS to CSH: 6912\nIKS to ALA: 5201\nIKS to MXV: 4716\nCSH to ALA: 4341\nCSH to MXV: 6157\nALA to MXV: 3066\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNA, AGS, YWB, YYR, AQJ, TVF, HDF, MKY, KND\n- Travel distances (in kilometers) between each pair of airports:\nPNA to YWB: 7597\nPNA to HDF: 2294\nPNA to TVF: 7999\nPNA to AGS: 7157\nPNA to YYR: 6094\nPNA to KND: 6970\nPNA to MKY: 16988\nPNA to AQJ: 4203\nAGS to YWB: 3453\nAGS to HDF: 7688\nAGS to TVF: 2219\nAGS to YYR: 2917\nAGS to KND: 12531\nAGS to MKY: 15565\nAGS to AQJ: 10523\nYWB to HDF: 7128\nYWB to TVF: 3747\nYWB to YYR: 1503\nYWB to KND: 13627\nYWB to MKY: 17147\nYWB to AQJ: 9940\nYYR to HDF: 5625\nYYR to TVF: 3451\nYYR to KND: 12135\nYYR to MKY: 17665\nYYR to AQJ: 8437\nAQJ to HDF: 3806\nAQJ to TVF: 10801\nAQJ to KND: 6923\nAQJ to MKY: 13639\nTVF to HDF: 7968\nTVF to KND: 13615\nTVF to MKY: 14761\nHDF to KND: 8147\nHDF to MKY: 15835\nMKY to KND: 16303\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57284,
"style": "rule"
}
|
{
"exact_answer": 57284,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PNA\", \"id\": 0}, {\"name\": \"AGS\", \"id\": 1}, {\"name\": \"YWB\", \"id\": 2}, {\"name\": \"YYR\", \"id\": 3}, {\"name\": \"AQJ\", \"id\": 4}, {\"name\": \"TVF\", \"id\": 5}, {\"name\": \"HDF\", \"id\": 6}, {\"name\": \"MKY\", \"id\": 7}, {\"name\": \"KND\", \"id\": 8}], \"links\": [{\"weight\": 7597, \"source\": 0, \"target\": 2}, {\"weight\": 2294, \"source\": 0, \"target\": 6}, {\"weight\": 7999, \"source\": 0, \"target\": 5}, {\"weight\": 7157, \"source\": 0, \"target\": 1}, {\"weight\": 6094, \"source\": 0, \"target\": 3}, {\"weight\": 6970, \"source\": 0, \"target\": 8}, {\"weight\": 16988, \"source\": 0, \"target\": 7}, {\"weight\": 4203, \"source\": 0, \"target\": 4}, {\"weight\": 3453, \"source\": 1, \"target\": 2}, {\"weight\": 7688, \"source\": 1, \"target\": 6}, {\"weight\": 2219, \"source\": 1, \"target\": 5}, {\"weight\": 2917, \"source\": 1, \"target\": 3}, {\"weight\": 12531, \"source\": 1, \"target\": 8}, {\"weight\": 15565, \"source\": 1, \"target\": 7}, {\"weight\": 10523, \"source\": 1, \"target\": 4}, {\"weight\": 7128, \"source\": 2, \"target\": 6}, {\"weight\": 3747, \"source\": 2, \"target\": 5}, {\"weight\": 1503, \"source\": 2, \"target\": 3}, {\"weight\": 13627, \"source\": 2, \"target\": 8}, {\"weight\": 17147, \"source\": 2, \"target\": 7}, {\"weight\": 9940, \"source\": 2, \"target\": 4}, {\"weight\": 5625, \"source\": 3, \"target\": 6}, {\"weight\": 3451, \"source\": 3, \"target\": 5}, {\"weight\": 12135, \"source\": 3, \"target\": 8}, {\"weight\": 17665, \"source\": 3, \"target\": 7}, {\"weight\": 8437, \"source\": 3, \"target\": 4}, {\"weight\": 3806, \"source\": 4, \"target\": 6}, {\"weight\": 10801, \"source\": 4, \"target\": 5}, {\"weight\": 6923, \"source\": 4, \"target\": 8}, {\"weight\": 13639, \"source\": 4, \"target\": 7}, {\"weight\": 7968, \"source\": 5, \"target\": 6}, {\"weight\": 13615, \"source\": 5, \"target\": 8}, {\"weight\": 14761, \"source\": 5, \"target\": 7}, {\"weight\": 8147, \"source\": 6, \"target\": 8}, {\"weight\": 15835, \"source\": 6, \"target\": 7}, {\"weight\": 16303, \"source\": 7, \"target\": 8}]}",
"id": 2075,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNA, AGS, YWB, YYR, AQJ, TVF, HDF, MKY, KND\n- Travel distances (in kilometers) between each pair of airports:\nPNA to YWB: 7597\nPNA to HDF: 2294\nPNA to TVF: 7999\nPNA to AGS: 7157\nPNA to YYR: 6094\nPNA to KND: 6970\nPNA to MKY: 16988\nPNA to AQJ: 4203\nAGS to YWB: 3453\nAGS to HDF: 7688\nAGS to TVF: 2219\nAGS to YYR: 2917\nAGS to KND: 12531\nAGS to MKY: 15565\nAGS to AQJ: 10523\nYWB to HDF: 7128\nYWB to TVF: 3747\nYWB to YYR: 1503\nYWB to KND: 13627\nYWB to MKY: 17147\nYWB to AQJ: 9940\nYYR to HDF: 5625\nYYR to TVF: 3451\nYYR to KND: 12135\nYYR to MKY: 17665\nYYR to AQJ: 8437\nAQJ to HDF: 3806\nAQJ to TVF: 10801\nAQJ to KND: 6923\nAQJ to MKY: 13639\nTVF to HDF: 7968\nTVF to KND: 13615\nTVF to MKY: 14761\nHDF to KND: 8147\nHDF to MKY: 15835\nMKY to KND: 16303\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISN, YYZ, OWB, YFH, KSH, MRU, MUR, BHX, SPS\n- Travel distances (in kilometers) between each pair of airports:\nISN to BHX: 7545\nISN to OWB: 1898\nISN to YYZ: 1964\nISN to SPS: 2141\nISN to MRU: 17096\nISN to KSH: 11538\nISN to MUR: 14680\nISN to YFH: 2479\nYYZ to BHX: 5581\nYYZ to OWB: 1351\nYYZ to SPS: 2109\nYYZ to MRU: 15433\nYYZ to KSH: 9967\nYYZ to MUR: 14606\nYYZ to YFH: 1279\nOWB to BHX: 6932\nOWB to SPS: 1367\nOWB to MRU: 16784\nOWB to KSH: 11299\nOWB to MUR: 15034\nOWB to YFH: 2625\nYFH to BHX: 6860\nYFH to SPS: 3156\nYFH to MRU: 16712\nYFH to KSH: 11246\nYFH to MUR: 14564\nKSH to BHX: 4396\nKSH to SPS: 12054\nKSH to MRU: 6702\nKSH to MUR: 8012\nMRU to BHX: 9923\nMRU to SPS: 17542\nMRU to MUR: 6860\nMUR to BHX: 11704\nMUR to SPS: 14963\nBHX to SPS: 7687\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45441,
"style": "rule"
}
|
{
"exact_answer": 45441,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ISN\", \"id\": 0}, {\"name\": \"YYZ\", \"id\": 1}, {\"name\": \"OWB\", \"id\": 2}, {\"name\": \"YFH\", \"id\": 3}, {\"name\": \"KSH\", \"id\": 4}, {\"name\": \"MRU\", \"id\": 5}, {\"name\": \"MUR\", \"id\": 6}, {\"name\": \"BHX\", \"id\": 7}, {\"name\": \"SPS\", \"id\": 8}], \"links\": [{\"weight\": 7545, \"source\": 0, \"target\": 7}, {\"weight\": 1898, \"source\": 0, \"target\": 2}, {\"weight\": 1964, \"source\": 0, \"target\": 1}, {\"weight\": 2141, \"source\": 0, \"target\": 8}, {\"weight\": 17096, \"source\": 0, \"target\": 5}, {\"weight\": 11538, \"source\": 0, \"target\": 4}, {\"weight\": 14680, \"source\": 0, \"target\": 6}, {\"weight\": 2479, \"source\": 0, \"target\": 3}, {\"weight\": 5581, \"source\": 1, \"target\": 7}, {\"weight\": 1351, \"source\": 1, \"target\": 2}, {\"weight\": 2109, \"source\": 1, \"target\": 8}, {\"weight\": 15433, \"source\": 1, \"target\": 5}, {\"weight\": 9967, \"source\": 1, \"target\": 4}, {\"weight\": 14606, \"source\": 1, \"target\": 6}, {\"weight\": 1279, \"source\": 1, \"target\": 3}, {\"weight\": 6932, \"source\": 2, \"target\": 7}, {\"weight\": 1367, \"source\": 2, \"target\": 8}, {\"weight\": 16784, \"source\": 2, \"target\": 5}, {\"weight\": 11299, \"source\": 2, \"target\": 4}, {\"weight\": 15034, \"source\": 2, \"target\": 6}, {\"weight\": 2625, \"source\": 2, \"target\": 3}, {\"weight\": 6860, \"source\": 3, \"target\": 7}, {\"weight\": 3156, \"source\": 3, \"target\": 8}, {\"weight\": 16712, \"source\": 3, \"target\": 5}, {\"weight\": 11246, \"source\": 3, \"target\": 4}, {\"weight\": 14564, \"source\": 3, \"target\": 6}, {\"weight\": 4396, \"source\": 4, \"target\": 7}, {\"weight\": 12054, \"source\": 4, \"target\": 8}, {\"weight\": 6702, \"source\": 4, \"target\": 5}, {\"weight\": 8012, \"source\": 4, \"target\": 6}, {\"weight\": 9923, \"source\": 5, \"target\": 7}, {\"weight\": 17542, \"source\": 5, \"target\": 8}, {\"weight\": 6860, \"source\": 5, \"target\": 6}, {\"weight\": 11704, \"source\": 6, \"target\": 7}, {\"weight\": 14963, \"source\": 6, \"target\": 8}, {\"weight\": 7687, \"source\": 7, \"target\": 8}]}",
"id": 2076,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ISN, YYZ, OWB, YFH, KSH, MRU, MUR, BHX, SPS\n- Travel distances (in kilometers) between each pair of airports:\nISN to BHX: 7545\nISN to OWB: 1898\nISN to YYZ: 1964\nISN to SPS: 2141\nISN to MRU: 17096\nISN to KSH: 11538\nISN to MUR: 14680\nISN to YFH: 2479\nYYZ to BHX: 5581\nYYZ to OWB: 1351\nYYZ to SPS: 2109\nYYZ to MRU: 15433\nYYZ to KSH: 9967\nYYZ to MUR: 14606\nYYZ to YFH: 1279\nOWB to BHX: 6932\nOWB to SPS: 1367\nOWB to MRU: 16784\nOWB to KSH: 11299\nOWB to MUR: 15034\nOWB to YFH: 2625\nYFH to BHX: 6860\nYFH to SPS: 3156\nYFH to MRU: 16712\nYFH to KSH: 11246\nYFH to MUR: 14564\nKSH to BHX: 4396\nKSH to SPS: 12054\nKSH to MRU: 6702\nKSH to MUR: 8012\nMRU to BHX: 9923\nMRU to SPS: 17542\nMRU to MUR: 6860\nMUR to BHX: 11704\nMUR to SPS: 14963\nBHX to SPS: 7687\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRF, SKN, TGH, NRA, PUY, DHI, JKR, VDH, ATC\n- Travel distances (in kilometers) between each pair of airports:\nTRF to PUY: 1736\nTRF to TGH: 16260\nTRF to ATC: 7855\nTRF to VDH: 8804\nTRF to SKN: 1076\nTRF to DHI: 7314\nTRF to JKR: 6955\nTRF to NRA: 16472\nSKN to PUY: 2661\nSKN to TGH: 16985\nSKN to ATC: 8298\nSKN to VDH: 9341\nSKN to DHI: 7851\nSKN to JKR: 7492\nSKN to NRA: 17103\nTGH to PUY: 17007\nTGH to ATC: 14180\nTGH to VDH: 8903\nTGH to DHI: 11254\nTGH to JKR: 10895\nTGH to NRA: 3012\nNRA to PUY: 16728\nNRA to ATC: 16511\nNRA to VDH: 8025\nNRA to DHI: 10661\nNRA to JKR: 10302\nPUY to ATC: 8505\nPUY to VDH: 9166\nPUY to DHI: 7124\nPUY to JKR: 6765\nDHI to ATC: 14995\nDHI to VDH: 3561\nDHI to JKR: 605\nJKR to ATC: 14636\nJKR to VDH: 3202\nVDH to ATC: 15560\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47258,
"style": "rule"
}
|
{
"exact_answer": 47258,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRF\", \"id\": 0}, {\"name\": \"SKN\", \"id\": 1}, {\"name\": \"TGH\", \"id\": 2}, {\"name\": \"NRA\", \"id\": 3}, {\"name\": \"PUY\", \"id\": 4}, {\"name\": \"DHI\", \"id\": 5}, {\"name\": \"JKR\", \"id\": 6}, {\"name\": \"VDH\", \"id\": 7}, {\"name\": \"ATC\", \"id\": 8}], \"links\": [{\"weight\": 1736, \"source\": 0, \"target\": 4}, {\"weight\": 16260, \"source\": 0, \"target\": 2}, {\"weight\": 7855, \"source\": 0, \"target\": 8}, {\"weight\": 8804, \"source\": 0, \"target\": 7}, {\"weight\": 1076, \"source\": 0, \"target\": 1}, {\"weight\": 7314, \"source\": 0, \"target\": 5}, {\"weight\": 6955, \"source\": 0, \"target\": 6}, {\"weight\": 16472, \"source\": 0, \"target\": 3}, {\"weight\": 2661, \"source\": 1, \"target\": 4}, {\"weight\": 16985, \"source\": 1, \"target\": 2}, {\"weight\": 8298, \"source\": 1, \"target\": 8}, {\"weight\": 9341, \"source\": 1, \"target\": 7}, {\"weight\": 7851, \"source\": 1, \"target\": 5}, {\"weight\": 7492, \"source\": 1, \"target\": 6}, {\"weight\": 17103, \"source\": 1, \"target\": 3}, {\"weight\": 17007, \"source\": 2, \"target\": 4}, {\"weight\": 14180, \"source\": 2, \"target\": 8}, {\"weight\": 8903, \"source\": 2, \"target\": 7}, {\"weight\": 11254, \"source\": 2, \"target\": 5}, {\"weight\": 10895, \"source\": 2, \"target\": 6}, {\"weight\": 3012, \"source\": 2, \"target\": 3}, {\"weight\": 16728, \"source\": 3, \"target\": 4}, {\"weight\": 16511, \"source\": 3, \"target\": 8}, {\"weight\": 8025, \"source\": 3, \"target\": 7}, {\"weight\": 10661, \"source\": 3, \"target\": 5}, {\"weight\": 10302, \"source\": 3, \"target\": 6}, {\"weight\": 8505, \"source\": 4, \"target\": 8}, {\"weight\": 9166, \"source\": 4, \"target\": 7}, {\"weight\": 7124, \"source\": 4, \"target\": 5}, {\"weight\": 6765, \"source\": 4, \"target\": 6}, {\"weight\": 14995, \"source\": 5, \"target\": 8}, {\"weight\": 3561, \"source\": 5, \"target\": 7}, {\"weight\": 605, \"source\": 5, \"target\": 6}, {\"weight\": 14636, \"source\": 6, \"target\": 8}, {\"weight\": 3202, \"source\": 6, \"target\": 7}, {\"weight\": 15560, \"source\": 7, \"target\": 8}]}",
"id": 2077,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRF, SKN, TGH, NRA, PUY, DHI, JKR, VDH, ATC\n- Travel distances (in kilometers) between each pair of airports:\nTRF to PUY: 1736\nTRF to TGH: 16260\nTRF to ATC: 7855\nTRF to VDH: 8804\nTRF to SKN: 1076\nTRF to DHI: 7314\nTRF to JKR: 6955\nTRF to NRA: 16472\nSKN to PUY: 2661\nSKN to TGH: 16985\nSKN to ATC: 8298\nSKN to VDH: 9341\nSKN to DHI: 7851\nSKN to JKR: 7492\nSKN to NRA: 17103\nTGH to PUY: 17007\nTGH to ATC: 14180\nTGH to VDH: 8903\nTGH to DHI: 11254\nTGH to JKR: 10895\nTGH to NRA: 3012\nNRA to PUY: 16728\nNRA to ATC: 16511\nNRA to VDH: 8025\nNRA to DHI: 10661\nNRA to JKR: 10302\nPUY to ATC: 8505\nPUY to VDH: 9166\nPUY to DHI: 7124\nPUY to JKR: 6765\nDHI to ATC: 14995\nDHI to VDH: 3561\nDHI to JKR: 605\nJKR to ATC: 14636\nJKR to VDH: 3202\nVDH to ATC: 15560\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDH, HTN, MSW, EDA, RNS, CFN, IJK, BWT, LAS\n- Travel distances (in kilometers) between each pair of airports:\nLDH to LAS: 12651\nLDH to IJK: 13966\nLDH to RNS: 17605\nLDH to CFN: 17740\nLDH to HTN: 12093\nLDH to EDA: 13827\nLDH to BWT: 1836\nLDH to MSW: 14501\nHTN to LAS: 13502\nHTN to IJK: 4097\nHTN to RNS: 7510\nHTN to CFN: 7724\nHTN to EDA: 13337\nHTN to BWT: 12143\nHTN to MSW: 6832\nMSW to LAS: 13769\nMSW to IJK: 5548\nMSW to RNS: 5335\nMSW to CFN: 6089\nMSW to EDA: 14229\nMSW to BWT: 13984\nEDA to LAS: 2625\nEDA to IJK: 11170\nEDA to RNS: 9283\nEDA to CFN: 8650\nEDA to BWT: 14758\nRNS to LAS: 8761\nRNS to IJK: 3785\nRNS to CFN: 901\nRNS to BWT: 17464\nCFN to LAS: 8344\nCFN to IJK: 3926\nCFN to BWT: 17799\nIJK to LAS: 10864\nIJK to BWT: 14012\nBWT to LAS: 13491\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53786,
"style": "rule"
}
|
{
"exact_answer": 53786,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LDH\", \"id\": 0}, {\"name\": \"HTN\", \"id\": 1}, {\"name\": \"MSW\", \"id\": 2}, {\"name\": \"EDA\", \"id\": 3}, {\"name\": \"RNS\", \"id\": 4}, {\"name\": \"CFN\", \"id\": 5}, {\"name\": \"IJK\", \"id\": 6}, {\"name\": \"BWT\", \"id\": 7}, {\"name\": \"LAS\", \"id\": 8}], \"links\": [{\"weight\": 12651, \"source\": 0, \"target\": 8}, {\"weight\": 13966, \"source\": 0, \"target\": 6}, {\"weight\": 17605, \"source\": 0, \"target\": 4}, {\"weight\": 17740, \"source\": 0, \"target\": 5}, {\"weight\": 12093, \"source\": 0, \"target\": 1}, {\"weight\": 13827, \"source\": 0, \"target\": 3}, {\"weight\": 1836, \"source\": 0, \"target\": 7}, {\"weight\": 14501, \"source\": 0, \"target\": 2}, {\"weight\": 13502, \"source\": 1, \"target\": 8}, {\"weight\": 4097, \"source\": 1, \"target\": 6}, {\"weight\": 7510, \"source\": 1, \"target\": 4}, {\"weight\": 7724, \"source\": 1, \"target\": 5}, {\"weight\": 13337, \"source\": 1, \"target\": 3}, {\"weight\": 12143, \"source\": 1, \"target\": 7}, {\"weight\": 6832, \"source\": 1, \"target\": 2}, {\"weight\": 13769, \"source\": 2, \"target\": 8}, {\"weight\": 5548, \"source\": 2, \"target\": 6}, {\"weight\": 5335, \"source\": 2, \"target\": 4}, {\"weight\": 6089, \"source\": 2, \"target\": 5}, {\"weight\": 14229, \"source\": 2, \"target\": 3}, {\"weight\": 13984, \"source\": 2, \"target\": 7}, {\"weight\": 2625, \"source\": 3, \"target\": 8}, {\"weight\": 11170, \"source\": 3, \"target\": 6}, {\"weight\": 9283, \"source\": 3, \"target\": 4}, {\"weight\": 8650, \"source\": 3, \"target\": 5}, {\"weight\": 14758, \"source\": 3, \"target\": 7}, {\"weight\": 8761, \"source\": 4, \"target\": 8}, {\"weight\": 3785, \"source\": 4, \"target\": 6}, {\"weight\": 901, \"source\": 4, \"target\": 5}, {\"weight\": 17464, \"source\": 4, \"target\": 7}, {\"weight\": 8344, \"source\": 5, \"target\": 8}, {\"weight\": 3926, \"source\": 5, \"target\": 6}, {\"weight\": 17799, \"source\": 5, \"target\": 7}, {\"weight\": 10864, \"source\": 6, \"target\": 8}, {\"weight\": 14012, \"source\": 6, \"target\": 7}, {\"weight\": 13491, \"source\": 7, \"target\": 8}]}",
"id": 2078,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LDH, HTN, MSW, EDA, RNS, CFN, IJK, BWT, LAS\n- Travel distances (in kilometers) between each pair of airports:\nLDH to LAS: 12651\nLDH to IJK: 13966\nLDH to RNS: 17605\nLDH to CFN: 17740\nLDH to HTN: 12093\nLDH to EDA: 13827\nLDH to BWT: 1836\nLDH to MSW: 14501\nHTN to LAS: 13502\nHTN to IJK: 4097\nHTN to RNS: 7510\nHTN to CFN: 7724\nHTN to EDA: 13337\nHTN to BWT: 12143\nHTN to MSW: 6832\nMSW to LAS: 13769\nMSW to IJK: 5548\nMSW to RNS: 5335\nMSW to CFN: 6089\nMSW to EDA: 14229\nMSW to BWT: 13984\nEDA to LAS: 2625\nEDA to IJK: 11170\nEDA to RNS: 9283\nEDA to CFN: 8650\nEDA to BWT: 14758\nRNS to LAS: 8761\nRNS to IJK: 3785\nRNS to CFN: 901\nRNS to BWT: 17464\nCFN to LAS: 8344\nCFN to IJK: 3926\nCFN to BWT: 17799\nIJK to LAS: 10864\nIJK to BWT: 14012\nBWT to LAS: 13491\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACC, YHZ, TCG, WAE, DND, WUZ, AGH, LAX, MHC\n- Travel distances (in kilometers) between each pair of airports:\nACC to LAX: 12195\nACC to YHZ: 8907\nACC to DND: 5743\nACC to TCG: 9848\nACC to AGH: 6708\nACC to WUZ: 11972\nACC to MHC: 13090\nACC to WAE: 5231\nYHZ to LAX: 4776\nYHZ to DND: 5816\nYHZ to TCG: 11266\nYHZ to AGH: 6484\nYHZ to WUZ: 13976\nYHZ to MHC: 12919\nYHZ to WAE: 9972\nTCG to LAX: 12913\nTCG to DND: 7177\nTCG to AGH: 5871\nTCG to WUZ: 3605\nTCG to MHC: 22476\nTCG to WAE: 5263\nWAE to LAX: 13978\nWAE to DND: 5919\nWAE to AGH: 5620\nWAE to WUZ: 7065\nWAE to MHC: 17983\nDND to LAX: 9506\nDND to AGH: 2389\nDND to WUZ: 9890\nDND to MHC: 16746\nWUZ to LAX: 12001\nWUZ to AGH: 8499\nWUZ to MHC: 23764\nAGH to LAX: 9341\nAGH to MHC: 17820\nLAX to MHC: 13271\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61114,
"style": "rule"
}
|
{
"exact_answer": 61114,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACC\", \"id\": 0}, {\"name\": \"YHZ\", \"id\": 1}, {\"name\": \"TCG\", \"id\": 2}, {\"name\": \"WAE\", \"id\": 3}, {\"name\": \"DND\", \"id\": 4}, {\"name\": \"WUZ\", \"id\": 5}, {\"name\": \"AGH\", \"id\": 6}, {\"name\": \"LAX\", \"id\": 7}, {\"name\": \"MHC\", \"id\": 8}], \"links\": [{\"weight\": 12195, \"source\": 0, \"target\": 7}, {\"weight\": 8907, \"source\": 0, \"target\": 1}, {\"weight\": 5743, \"source\": 0, \"target\": 4}, {\"weight\": 9848, \"source\": 0, \"target\": 2}, {\"weight\": 6708, \"source\": 0, \"target\": 6}, {\"weight\": 11972, \"source\": 0, \"target\": 5}, {\"weight\": 13090, \"source\": 0, \"target\": 8}, {\"weight\": 5231, \"source\": 0, \"target\": 3}, {\"weight\": 4776, \"source\": 1, \"target\": 7}, {\"weight\": 5816, \"source\": 1, \"target\": 4}, {\"weight\": 11266, \"source\": 1, \"target\": 2}, {\"weight\": 6484, \"source\": 1, \"target\": 6}, {\"weight\": 13976, \"source\": 1, \"target\": 5}, {\"weight\": 12919, \"source\": 1, \"target\": 8}, {\"weight\": 9972, \"source\": 1, \"target\": 3}, {\"weight\": 12913, \"source\": 2, \"target\": 7}, {\"weight\": 7177, \"source\": 2, \"target\": 4}, {\"weight\": 5871, \"source\": 2, \"target\": 6}, {\"weight\": 3605, \"source\": 2, \"target\": 5}, {\"weight\": 22476, \"source\": 2, \"target\": 8}, {\"weight\": 5263, \"source\": 2, \"target\": 3}, {\"weight\": 13978, \"source\": 3, \"target\": 7}, {\"weight\": 5919, \"source\": 3, \"target\": 4}, {\"weight\": 5620, \"source\": 3, \"target\": 6}, {\"weight\": 7065, \"source\": 3, \"target\": 5}, {\"weight\": 17983, \"source\": 3, \"target\": 8}, {\"weight\": 9506, \"source\": 4, \"target\": 7}, {\"weight\": 2389, \"source\": 4, \"target\": 6}, {\"weight\": 9890, \"source\": 4, \"target\": 5}, {\"weight\": 16746, \"source\": 4, \"target\": 8}, {\"weight\": 12001, \"source\": 5, \"target\": 7}, {\"weight\": 8499, \"source\": 5, \"target\": 6}, {\"weight\": 23764, \"source\": 5, \"target\": 8}, {\"weight\": 9341, \"source\": 6, \"target\": 7}, {\"weight\": 17820, \"source\": 6, \"target\": 8}, {\"weight\": 13271, \"source\": 7, \"target\": 8}]}",
"id": 2079,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACC, YHZ, TCG, WAE, DND, WUZ, AGH, LAX, MHC\n- Travel distances (in kilometers) between each pair of airports:\nACC to LAX: 12195\nACC to YHZ: 8907\nACC to DND: 5743\nACC to TCG: 9848\nACC to AGH: 6708\nACC to WUZ: 11972\nACC to MHC: 13090\nACC to WAE: 5231\nYHZ to LAX: 4776\nYHZ to DND: 5816\nYHZ to TCG: 11266\nYHZ to AGH: 6484\nYHZ to WUZ: 13976\nYHZ to MHC: 12919\nYHZ to WAE: 9972\nTCG to LAX: 12913\nTCG to DND: 7177\nTCG to AGH: 5871\nTCG to WUZ: 3605\nTCG to MHC: 22476\nTCG to WAE: 5263\nWAE to LAX: 13978\nWAE to DND: 5919\nWAE to AGH: 5620\nWAE to WUZ: 7065\nWAE to MHC: 17983\nDND to LAX: 9506\nDND to AGH: 2389\nDND to WUZ: 9890\nDND to MHC: 16746\nWUZ to LAX: 12001\nWUZ to AGH: 8499\nWUZ to MHC: 23764\nAGH to LAX: 9341\nAGH to MHC: 17820\nLAX to MHC: 13271\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: THX, CYS, UGC, URA, ULN, CLQ, MDK, CBR, DPL\n- Travel distances (in kilometers) between each pair of airports:\nTHX to DPL: 7180\nTHX to CBR: 12801\nTHX to CLQ: 15281\nTHX to MDK: 11729\nTHX to ULN: 3755\nTHX to URA: 5543\nTHX to CYS: 13263\nTHX to UGC: 4172\nCYS to DPL: 12917\nCYS to CBR: 13825\nCYS to CLQ: 2949\nCYS to MDK: 13597\nCYS to ULN: 11591\nCYS to URA: 11062\nCYS to UGC: 11505\nUGC to DPL: 7360\nUGC to CBR: 12724\nUGC to CLQ: 13489\nUGC to MDK: 8824\nUGC to ULN: 3746\nUGC to URA: 3533\nURA to DPL: 8419\nURA to CBR: 14144\nURA to CLQ: 13032\nURA to MDK: 8235\nURA to ULN: 5221\nULN to DPL: 4744\nULN to CBR: 10365\nULN to CLQ: 14002\nULN to MDK: 11275\nCLQ to DPL: 14422\nCLQ to CBR: 15267\nCLQ to MDK: 14342\nMDK to DPL: 13106\nMDK to CBR: 14618\nCBR to DPL: 6573\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62128,
"style": "rule"
}
|
{
"exact_answer": 62128,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"THX\", \"id\": 0}, {\"name\": \"CYS\", \"id\": 1}, {\"name\": \"UGC\", \"id\": 2}, {\"name\": \"URA\", \"id\": 3}, {\"name\": \"ULN\", \"id\": 4}, {\"name\": \"CLQ\", \"id\": 5}, {\"name\": \"MDK\", \"id\": 6}, {\"name\": \"CBR\", \"id\": 7}, {\"name\": \"DPL\", \"id\": 8}], \"links\": [{\"weight\": 7180, \"source\": 0, \"target\": 8}, {\"weight\": 12801, \"source\": 0, \"target\": 7}, {\"weight\": 15281, \"source\": 0, \"target\": 5}, {\"weight\": 11729, \"source\": 0, \"target\": 6}, {\"weight\": 3755, \"source\": 0, \"target\": 4}, {\"weight\": 5543, \"source\": 0, \"target\": 3}, {\"weight\": 13263, \"source\": 0, \"target\": 1}, {\"weight\": 4172, \"source\": 0, \"target\": 2}, {\"weight\": 12917, \"source\": 1, \"target\": 8}, {\"weight\": 13825, \"source\": 1, \"target\": 7}, {\"weight\": 2949, \"source\": 1, \"target\": 5}, {\"weight\": 13597, \"source\": 1, \"target\": 6}, {\"weight\": 11591, \"source\": 1, \"target\": 4}, {\"weight\": 11062, \"source\": 1, \"target\": 3}, {\"weight\": 11505, \"source\": 1, \"target\": 2}, {\"weight\": 7360, \"source\": 2, \"target\": 8}, {\"weight\": 12724, \"source\": 2, \"target\": 7}, {\"weight\": 13489, \"source\": 2, \"target\": 5}, {\"weight\": 8824, \"source\": 2, \"target\": 6}, {\"weight\": 3746, \"source\": 2, \"target\": 4}, {\"weight\": 3533, \"source\": 2, \"target\": 3}, {\"weight\": 8419, \"source\": 3, \"target\": 8}, {\"weight\": 14144, \"source\": 3, \"target\": 7}, {\"weight\": 13032, \"source\": 3, \"target\": 5}, {\"weight\": 8235, \"source\": 3, \"target\": 6}, {\"weight\": 5221, \"source\": 3, \"target\": 4}, {\"weight\": 4744, \"source\": 4, \"target\": 8}, {\"weight\": 10365, \"source\": 4, \"target\": 7}, {\"weight\": 14002, \"source\": 4, \"target\": 5}, {\"weight\": 11275, \"source\": 4, \"target\": 6}, {\"weight\": 14422, \"source\": 5, \"target\": 8}, {\"weight\": 15267, \"source\": 5, \"target\": 7}, {\"weight\": 14342, \"source\": 5, \"target\": 6}, {\"weight\": 13106, \"source\": 6, \"target\": 8}, {\"weight\": 14618, \"source\": 6, \"target\": 7}, {\"weight\": 6573, \"source\": 7, \"target\": 8}]}",
"id": 2080,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: THX, CYS, UGC, URA, ULN, CLQ, MDK, CBR, DPL\n- Travel distances (in kilometers) between each pair of airports:\nTHX to DPL: 7180\nTHX to CBR: 12801\nTHX to CLQ: 15281\nTHX to MDK: 11729\nTHX to ULN: 3755\nTHX to URA: 5543\nTHX to CYS: 13263\nTHX to UGC: 4172\nCYS to DPL: 12917\nCYS to CBR: 13825\nCYS to CLQ: 2949\nCYS to MDK: 13597\nCYS to ULN: 11591\nCYS to URA: 11062\nCYS to UGC: 11505\nUGC to DPL: 7360\nUGC to CBR: 12724\nUGC to CLQ: 13489\nUGC to MDK: 8824\nUGC to ULN: 3746\nUGC to URA: 3533\nURA to DPL: 8419\nURA to CBR: 14144\nURA to CLQ: 13032\nURA to MDK: 8235\nURA to ULN: 5221\nULN to DPL: 4744\nULN to CBR: 10365\nULN to CLQ: 14002\nULN to MDK: 11275\nCLQ to DPL: 14422\nCLQ to CBR: 15267\nCLQ to MDK: 14342\nMDK to DPL: 13106\nMDK to CBR: 14618\nCBR to DPL: 6573\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDK, UFA, JIB, PNI, FAV, CPO, PUU, PRG, EWN\n- Travel distances (in kilometers) between each pair of airports:\nSDK to JIB: 8763\nSDK to UFA: 8271\nSDK to PRG: 10814\nSDK to PUU: 18901\nSDK to EWN: 15693\nSDK to CPO: 18310\nSDK to PNI: 5606\nSDK to FAV: 12691\nUFA to PRG: 2827\nUFA to JIB: 4970\nUFA to PUU: 12536\nUFA to EWN: 9745\nUFA to CPO: 15368\nUFA to PNI: 10575\nUFA to FAV: 16454\nJIB to PRG: 5062\nJIB to PUU: 14123\nJIB to EWN: 12645\nJIB to CPO: 13826\nJIB to PNI: 12914\nJIB to FAV: 19867\nPNI to PRG: 13187\nPNI to PUU: 15065\nPNI to EWN: 13034\nPNI to CPO: 16828\nPNI to FAV: 10033\nFAV to PRG: 16713\nFAV to PUU: 12909\nFAV to EWN: 10828\nFAV to CPO: 9131\nCPO to PRG: 12541\nCPO to PUU: 4267\nCPO to EWN: 7818\nPUU to PRG: 10027\nPUU to EWN: 4250\nPRG to EWN: 7774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57621,
"style": "rule"
}
|
{
"exact_answer": 57621,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SDK\", \"id\": 0}, {\"name\": \"UFA\", \"id\": 1}, {\"name\": \"JIB\", \"id\": 2}, {\"name\": \"PNI\", \"id\": 3}, {\"name\": \"FAV\", \"id\": 4}, {\"name\": \"CPO\", \"id\": 5}, {\"name\": \"PUU\", \"id\": 6}, {\"name\": \"PRG\", \"id\": 7}, {\"name\": \"EWN\", \"id\": 8}], \"links\": [{\"weight\": 8763, \"source\": 0, \"target\": 2}, {\"weight\": 8271, \"source\": 0, \"target\": 1}, {\"weight\": 10814, \"source\": 0, \"target\": 7}, {\"weight\": 18901, \"source\": 0, \"target\": 6}, {\"weight\": 15693, \"source\": 0, \"target\": 8}, {\"weight\": 18310, \"source\": 0, \"target\": 5}, {\"weight\": 5606, \"source\": 0, \"target\": 3}, {\"weight\": 12691, \"source\": 0, \"target\": 4}, {\"weight\": 2827, \"source\": 1, \"target\": 7}, {\"weight\": 4970, \"source\": 1, \"target\": 2}, {\"weight\": 12536, \"source\": 1, \"target\": 6}, {\"weight\": 9745, \"source\": 1, \"target\": 8}, {\"weight\": 15368, \"source\": 1, \"target\": 5}, {\"weight\": 10575, \"source\": 1, \"target\": 3}, {\"weight\": 16454, \"source\": 1, \"target\": 4}, {\"weight\": 5062, \"source\": 2, \"target\": 7}, {\"weight\": 14123, \"source\": 2, \"target\": 6}, {\"weight\": 12645, \"source\": 2, \"target\": 8}, {\"weight\": 13826, \"source\": 2, \"target\": 5}, {\"weight\": 12914, \"source\": 2, \"target\": 3}, {\"weight\": 19867, \"source\": 2, \"target\": 4}, {\"weight\": 13187, \"source\": 3, \"target\": 7}, {\"weight\": 15065, \"source\": 3, \"target\": 6}, {\"weight\": 13034, \"source\": 3, \"target\": 8}, {\"weight\": 16828, \"source\": 3, \"target\": 5}, {\"weight\": 10033, \"source\": 3, \"target\": 4}, {\"weight\": 16713, \"source\": 4, \"target\": 7}, {\"weight\": 12909, \"source\": 4, \"target\": 6}, {\"weight\": 10828, \"source\": 4, \"target\": 8}, {\"weight\": 9131, \"source\": 4, \"target\": 5}, {\"weight\": 12541, \"source\": 5, \"target\": 7}, {\"weight\": 4267, \"source\": 5, \"target\": 6}, {\"weight\": 7818, \"source\": 5, \"target\": 8}, {\"weight\": 10027, \"source\": 6, \"target\": 7}, {\"weight\": 4250, \"source\": 6, \"target\": 8}, {\"weight\": 7774, \"source\": 7, \"target\": 8}]}",
"id": 2081,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDK, UFA, JIB, PNI, FAV, CPO, PUU, PRG, EWN\n- Travel distances (in kilometers) between each pair of airports:\nSDK to JIB: 8763\nSDK to UFA: 8271\nSDK to PRG: 10814\nSDK to PUU: 18901\nSDK to EWN: 15693\nSDK to CPO: 18310\nSDK to PNI: 5606\nSDK to FAV: 12691\nUFA to PRG: 2827\nUFA to JIB: 4970\nUFA to PUU: 12536\nUFA to EWN: 9745\nUFA to CPO: 15368\nUFA to PNI: 10575\nUFA to FAV: 16454\nJIB to PRG: 5062\nJIB to PUU: 14123\nJIB to EWN: 12645\nJIB to CPO: 13826\nJIB to PNI: 12914\nJIB to FAV: 19867\nPNI to PRG: 13187\nPNI to PUU: 15065\nPNI to EWN: 13034\nPNI to CPO: 16828\nPNI to FAV: 10033\nFAV to PRG: 16713\nFAV to PUU: 12909\nFAV to EWN: 10828\nFAV to CPO: 9131\nCPO to PRG: 12541\nCPO to PUU: 4267\nCPO to EWN: 7818\nPUU to PRG: 10027\nPUU to EWN: 4250\nPRG to EWN: 7774\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ILO, GUR, TNC, IPT, AJL, KGL, AOI, NVT, DMM\n- Travel distances (in kilometers) between each pair of airports:\nILO to AOI: 11085\nILO to TNC: 14450\nILO to AJL: 4606\nILO to DMM: 7901\nILO to IPT: 14440\nILO to KGL: 10619\nILO to NVT: 18835\nILO to GUR: 3898\nGUR to AOI: 14921\nGUR to TNC: 14351\nGUR to AJL: 8438\nGUR to DMM: 11705\nGUR to IPT: 16495\nGUR to KGL: 13899\nGUR to NVT: 16811\nTNC to AOI: 12356\nTNC to AJL: 16082\nTNC to DMM: 15821\nTNC to IPT: 6852\nTNC to KGL: 17673\nTNC to NVT: 14438\nIPT to AOI: 7269\nIPT to AJL: 13843\nIPT to DMM: 10908\nIPT to KGL: 11926\nIPT to NVT: 8314\nAJL to AOI: 7851\nAJL to DMM: 4399\nAJL to KGL: 7415\nAJL to NVT: 16318\nKGL to AOI: 5956\nKGL to DMM: 3814\nKGL to NVT: 9138\nAOI to DMM: 4035\nAOI to NVT: 10094\nNVT to DMM: 12144\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61549,
"style": "rule"
}
|
{
"exact_answer": 61549,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ILO\", \"id\": 0}, {\"name\": \"GUR\", \"id\": 1}, {\"name\": \"TNC\", \"id\": 2}, {\"name\": \"IPT\", \"id\": 3}, {\"name\": \"AJL\", \"id\": 4}, {\"name\": \"KGL\", \"id\": 5}, {\"name\": \"AOI\", \"id\": 6}, {\"name\": \"NVT\", \"id\": 7}, {\"name\": \"DMM\", \"id\": 8}], \"links\": [{\"weight\": 11085, \"source\": 0, \"target\": 6}, {\"weight\": 14450, \"source\": 0, \"target\": 2}, {\"weight\": 4606, \"source\": 0, \"target\": 4}, {\"weight\": 7901, \"source\": 0, \"target\": 8}, {\"weight\": 14440, \"source\": 0, \"target\": 3}, {\"weight\": 10619, \"source\": 0, \"target\": 5}, {\"weight\": 18835, \"source\": 0, \"target\": 7}, {\"weight\": 3898, \"source\": 0, \"target\": 1}, {\"weight\": 14921, \"source\": 1, \"target\": 6}, {\"weight\": 14351, \"source\": 1, \"target\": 2}, {\"weight\": 8438, \"source\": 1, \"target\": 4}, {\"weight\": 11705, \"source\": 1, \"target\": 8}, {\"weight\": 16495, \"source\": 1, \"target\": 3}, {\"weight\": 13899, \"source\": 1, \"target\": 5}, {\"weight\": 16811, \"source\": 1, \"target\": 7}, {\"weight\": 12356, \"source\": 2, \"target\": 6}, {\"weight\": 16082, \"source\": 2, \"target\": 4}, {\"weight\": 15821, \"source\": 2, \"target\": 8}, {\"weight\": 6852, \"source\": 2, \"target\": 3}, {\"weight\": 17673, \"source\": 2, \"target\": 5}, {\"weight\": 14438, \"source\": 2, \"target\": 7}, {\"weight\": 7269, \"source\": 3, \"target\": 6}, {\"weight\": 13843, \"source\": 3, \"target\": 4}, {\"weight\": 10908, \"source\": 3, \"target\": 8}, {\"weight\": 11926, \"source\": 3, \"target\": 5}, {\"weight\": 8314, \"source\": 3, \"target\": 7}, {\"weight\": 7851, \"source\": 4, \"target\": 6}, {\"weight\": 4399, \"source\": 4, \"target\": 8}, {\"weight\": 7415, \"source\": 4, \"target\": 5}, {\"weight\": 16318, \"source\": 4, \"target\": 7}, {\"weight\": 5956, \"source\": 5, \"target\": 6}, {\"weight\": 3814, \"source\": 5, \"target\": 8}, {\"weight\": 9138, \"source\": 5, \"target\": 7}, {\"weight\": 4035, \"source\": 6, \"target\": 8}, {\"weight\": 10094, \"source\": 6, \"target\": 7}, {\"weight\": 12144, \"source\": 7, \"target\": 8}]}",
"id": 2082,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ILO, GUR, TNC, IPT, AJL, KGL, AOI, NVT, DMM\n- Travel distances (in kilometers) between each pair of airports:\nILO to AOI: 11085\nILO to TNC: 14450\nILO to AJL: 4606\nILO to DMM: 7901\nILO to IPT: 14440\nILO to KGL: 10619\nILO to NVT: 18835\nILO to GUR: 3898\nGUR to AOI: 14921\nGUR to TNC: 14351\nGUR to AJL: 8438\nGUR to DMM: 11705\nGUR to IPT: 16495\nGUR to KGL: 13899\nGUR to NVT: 16811\nTNC to AOI: 12356\nTNC to AJL: 16082\nTNC to DMM: 15821\nTNC to IPT: 6852\nTNC to KGL: 17673\nTNC to NVT: 14438\nIPT to AOI: 7269\nIPT to AJL: 13843\nIPT to DMM: 10908\nIPT to KGL: 11926\nIPT to NVT: 8314\nAJL to AOI: 7851\nAJL to DMM: 4399\nAJL to KGL: 7415\nAJL to NVT: 16318\nKGL to AOI: 5956\nKGL to DMM: 3814\nKGL to NVT: 9138\nAOI to DMM: 4035\nAOI to NVT: 10094\nNVT to DMM: 12144\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVS, MTS, SVC, LGQ, NQY, EGS, OZZ, PQS, TCB\n- Travel distances (in kilometers) between each pair of airports:\nBVS to TCB: 5073\nBVS to NQY: 8597\nBVS to PQS: 11731\nBVS to OZZ: 6892\nBVS to LGQ: 4634\nBVS to EGS: 12812\nBVS to MTS: 10427\nBVS to SVC: 8282\nMTS to TCB: 14659\nMTS to NQY: 9628\nMTS to PQS: 19521\nMTS to OZZ: 8206\nMTS to LGQ: 12246\nMTS to EGS: 14485\nMTS to SVC: 16808\nSVC to TCB: 3822\nSVC to NQY: 9050\nSVC to PQS: 5161\nSVC to OZZ: 9835\nSVC to LGQ: 5693\nSVC to EGS: 10272\nLGQ to TCB: 3386\nLGQ to NQY: 9723\nLGQ to PQS: 9916\nLGQ to OZZ: 8819\nLGQ to EGS: 12083\nNQY to TCB: 7552\nNQY to PQS: 10852\nNQY to OZZ: 2420\nNQY to EGS: 5234\nEGS to TCB: 9360\nEGS to PQS: 12034\nEGS to OZZ: 7383\nOZZ to TCB: 8079\nOZZ to PQS: 12208\nPQS to TCB: 7410\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55324,
"style": "rule"
}
|
{
"exact_answer": 55324,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BVS\", \"id\": 0}, {\"name\": \"MTS\", \"id\": 1}, {\"name\": \"SVC\", \"id\": 2}, {\"name\": \"LGQ\", \"id\": 3}, {\"name\": \"NQY\", \"id\": 4}, {\"name\": \"EGS\", \"id\": 5}, {\"name\": \"OZZ\", \"id\": 6}, {\"name\": \"PQS\", \"id\": 7}, {\"name\": \"TCB\", \"id\": 8}], \"links\": [{\"weight\": 5073, \"source\": 0, \"target\": 8}, {\"weight\": 8597, \"source\": 0, \"target\": 4}, {\"weight\": 11731, \"source\": 0, \"target\": 7}, {\"weight\": 6892, \"source\": 0, \"target\": 6}, {\"weight\": 4634, \"source\": 0, \"target\": 3}, {\"weight\": 12812, \"source\": 0, \"target\": 5}, {\"weight\": 10427, \"source\": 0, \"target\": 1}, {\"weight\": 8282, \"source\": 0, \"target\": 2}, {\"weight\": 14659, \"source\": 1, \"target\": 8}, {\"weight\": 9628, \"source\": 1, \"target\": 4}, {\"weight\": 19521, \"source\": 1, \"target\": 7}, {\"weight\": 8206, \"source\": 1, \"target\": 6}, {\"weight\": 12246, \"source\": 1, \"target\": 3}, {\"weight\": 14485, \"source\": 1, \"target\": 5}, {\"weight\": 16808, \"source\": 1, \"target\": 2}, {\"weight\": 3822, \"source\": 2, \"target\": 8}, {\"weight\": 9050, \"source\": 2, \"target\": 4}, {\"weight\": 5161, \"source\": 2, \"target\": 7}, {\"weight\": 9835, \"source\": 2, \"target\": 6}, {\"weight\": 5693, \"source\": 2, \"target\": 3}, {\"weight\": 10272, \"source\": 2, \"target\": 5}, {\"weight\": 3386, \"source\": 3, \"target\": 8}, {\"weight\": 9723, \"source\": 3, \"target\": 4}, {\"weight\": 9916, \"source\": 3, \"target\": 7}, {\"weight\": 8819, \"source\": 3, \"target\": 6}, {\"weight\": 12083, \"source\": 3, \"target\": 5}, {\"weight\": 7552, \"source\": 4, \"target\": 8}, {\"weight\": 10852, \"source\": 4, \"target\": 7}, {\"weight\": 2420, \"source\": 4, \"target\": 6}, {\"weight\": 5234, \"source\": 4, \"target\": 5}, {\"weight\": 9360, \"source\": 5, \"target\": 8}, {\"weight\": 12034, \"source\": 5, \"target\": 7}, {\"weight\": 7383, \"source\": 5, \"target\": 6}, {\"weight\": 8079, \"source\": 6, \"target\": 8}, {\"weight\": 12208, \"source\": 6, \"target\": 7}, {\"weight\": 7410, \"source\": 7, \"target\": 8}]}",
"id": 2083,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVS, MTS, SVC, LGQ, NQY, EGS, OZZ, PQS, TCB\n- Travel distances (in kilometers) between each pair of airports:\nBVS to TCB: 5073\nBVS to NQY: 8597\nBVS to PQS: 11731\nBVS to OZZ: 6892\nBVS to LGQ: 4634\nBVS to EGS: 12812\nBVS to MTS: 10427\nBVS to SVC: 8282\nMTS to TCB: 14659\nMTS to NQY: 9628\nMTS to PQS: 19521\nMTS to OZZ: 8206\nMTS to LGQ: 12246\nMTS to EGS: 14485\nMTS to SVC: 16808\nSVC to TCB: 3822\nSVC to NQY: 9050\nSVC to PQS: 5161\nSVC to OZZ: 9835\nSVC to LGQ: 5693\nSVC to EGS: 10272\nLGQ to TCB: 3386\nLGQ to NQY: 9723\nLGQ to PQS: 9916\nLGQ to OZZ: 8819\nLGQ to EGS: 12083\nNQY to TCB: 7552\nNQY to PQS: 10852\nNQY to OZZ: 2420\nNQY to EGS: 5234\nEGS to TCB: 9360\nEGS to PQS: 12034\nEGS to OZZ: 7383\nOZZ to TCB: 8079\nOZZ to PQS: 12208\nPQS to TCB: 7410\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MDW, MOC, BGW, TTE, MCN, BSG, PVD, CAW, IFJ\n- Travel distances (in kilometers) between each pair of airports:\nMDW to PVD: 1352\nMDW to MCN: 1078\nMDW to CAW: 8813\nMDW to MOC: 8594\nMDW to BSG: 10530\nMDW to BGW: 10490\nMDW to TTE: 16418\nMDW to IFJ: 7928\nMOC to MCN: 7552\nMOC to PVD: 8089\nMOC to CAW: 908\nMOC to BSG: 7584\nMOC to BGW: 11931\nMOC to TTE: 19527\nMOC to IFJ: 14097\nBGW to MCN: 10991\nBGW to PVD: 9923\nBGW to CAW: 11853\nBGW to BSG: 5558\nBGW to TTE: 9839\nBGW to IFJ: 8631\nTTE to MCN: 17435\nTTE to PVD: 17143\nTTE to CAW: 19282\nTTE to BSG: 13898\nTTE to IFJ: 17299\nMCN to PVD: 1579\nMCN to CAW: 7774\nMCN to BSG: 10434\nMCN to IFJ: 8528\nBSG to PVD: 9887\nBSG to CAW: 7506\nBSG to IFJ: 10561\nPVD to CAW: 8347\nPVD to IFJ: 7481\nCAW to IFJ: 13866\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58245,
"style": "rule"
}
|
{
"exact_answer": 58245,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MDW\", \"id\": 0}, {\"name\": \"MOC\", \"id\": 1}, {\"name\": \"BGW\", \"id\": 2}, {\"name\": \"TTE\", \"id\": 3}, {\"name\": \"MCN\", \"id\": 4}, {\"name\": \"BSG\", \"id\": 5}, {\"name\": \"PVD\", \"id\": 6}, {\"name\": \"CAW\", \"id\": 7}, {\"name\": \"IFJ\", \"id\": 8}], \"links\": [{\"weight\": 1352, \"source\": 0, \"target\": 6}, {\"weight\": 1078, \"source\": 0, \"target\": 4}, {\"weight\": 8813, \"source\": 0, \"target\": 7}, {\"weight\": 8594, \"source\": 0, \"target\": 1}, {\"weight\": 10530, \"source\": 0, \"target\": 5}, {\"weight\": 10490, \"source\": 0, \"target\": 2}, {\"weight\": 16418, \"source\": 0, \"target\": 3}, {\"weight\": 7928, \"source\": 0, \"target\": 8}, {\"weight\": 7552, \"source\": 1, \"target\": 4}, {\"weight\": 8089, \"source\": 1, \"target\": 6}, {\"weight\": 908, \"source\": 1, \"target\": 7}, {\"weight\": 7584, \"source\": 1, \"target\": 5}, {\"weight\": 11931, \"source\": 1, \"target\": 2}, {\"weight\": 19527, \"source\": 1, \"target\": 3}, {\"weight\": 14097, \"source\": 1, \"target\": 8}, {\"weight\": 10991, \"source\": 2, \"target\": 4}, {\"weight\": 9923, \"source\": 2, \"target\": 6}, {\"weight\": 11853, \"source\": 2, \"target\": 7}, {\"weight\": 5558, \"source\": 2, \"target\": 5}, {\"weight\": 9839, \"source\": 2, \"target\": 3}, {\"weight\": 8631, \"source\": 2, \"target\": 8}, {\"weight\": 17435, \"source\": 3, \"target\": 4}, {\"weight\": 17143, \"source\": 3, \"target\": 6}, {\"weight\": 19282, \"source\": 3, \"target\": 7}, {\"weight\": 13898, \"source\": 3, \"target\": 5}, {\"weight\": 17299, \"source\": 3, \"target\": 8}, {\"weight\": 1579, \"source\": 4, \"target\": 6}, {\"weight\": 7774, \"source\": 4, \"target\": 7}, {\"weight\": 10434, \"source\": 4, \"target\": 5}, {\"weight\": 8528, \"source\": 4, \"target\": 8}, {\"weight\": 9887, \"source\": 5, \"target\": 6}, {\"weight\": 7506, \"source\": 5, \"target\": 7}, {\"weight\": 10561, \"source\": 5, \"target\": 8}, {\"weight\": 8347, \"source\": 6, \"target\": 7}, {\"weight\": 7481, \"source\": 6, \"target\": 8}, {\"weight\": 13866, \"source\": 7, \"target\": 8}]}",
"id": 2084,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MDW, MOC, BGW, TTE, MCN, BSG, PVD, CAW, IFJ\n- Travel distances (in kilometers) between each pair of airports:\nMDW to PVD: 1352\nMDW to MCN: 1078\nMDW to CAW: 8813\nMDW to MOC: 8594\nMDW to BSG: 10530\nMDW to BGW: 10490\nMDW to TTE: 16418\nMDW to IFJ: 7928\nMOC to MCN: 7552\nMOC to PVD: 8089\nMOC to CAW: 908\nMOC to BSG: 7584\nMOC to BGW: 11931\nMOC to TTE: 19527\nMOC to IFJ: 14097\nBGW to MCN: 10991\nBGW to PVD: 9923\nBGW to CAW: 11853\nBGW to BSG: 5558\nBGW to TTE: 9839\nBGW to IFJ: 8631\nTTE to MCN: 17435\nTTE to PVD: 17143\nTTE to CAW: 19282\nTTE to BSG: 13898\nTTE to IFJ: 17299\nMCN to PVD: 1579\nMCN to CAW: 7774\nMCN to BSG: 10434\nMCN to IFJ: 8528\nBSG to PVD: 9887\nBSG to CAW: 7506\nBSG to IFJ: 10561\nPVD to CAW: 8347\nPVD to IFJ: 7481\nCAW to IFJ: 13866\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DIL, HOI, PRN, BLJ, BJI, YIF, CED, BHJ, TUS\n- Travel distances (in kilometers) between each pair of airports:\nDIL to PRN: 11962\nDIL to BHJ: 7120\nDIL to TUS: 15833\nDIL to BLJ: 13820\nDIL to BJI: 16620\nDIL to YIF: 17889\nDIL to HOI: 10575\nDIL to CED: 3892\nHOI to PRN: 18107\nHOI to BHJ: 17634\nHOI to TUS: 8252\nHOI to BLJ: 17935\nHOI to BJI: 10315\nHOI to YIF: 12835\nHOI to CED: 8753\nPRN to BHJ: 6059\nPRN to TUS: 10379\nPRN to BLJ: 2394\nPRN to BJI: 8631\nPRN to YIF: 6276\nPRN to CED: 15228\nBLJ to BHJ: 7845\nBLJ to TUS: 10074\nBLJ to BJI: 8416\nBLJ to YIF: 6224\nBLJ to CED: 16916\nBJI to BHJ: 14435\nBJI to TUS: 2407\nBJI to YIF: 3179\nBJI to CED: 16432\nYIF to BHJ: 12164\nYIF to TUS: 4826\nYIF to CED: 18971\nCED to BHJ: 10422\nCED to TUS: 14422\nBHJ to TUS: 15867\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48280,
"style": "rule"
}
|
{
"exact_answer": 48280,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DIL\", \"id\": 0}, {\"name\": \"HOI\", \"id\": 1}, {\"name\": \"PRN\", \"id\": 2}, {\"name\": \"BLJ\", \"id\": 3}, {\"name\": \"BJI\", \"id\": 4}, {\"name\": \"YIF\", \"id\": 5}, {\"name\": \"CED\", \"id\": 6}, {\"name\": \"BHJ\", \"id\": 7}, {\"name\": \"TUS\", \"id\": 8}], \"links\": [{\"weight\": 11962, \"source\": 0, \"target\": 2}, {\"weight\": 7120, \"source\": 0, \"target\": 7}, {\"weight\": 15833, \"source\": 0, \"target\": 8}, {\"weight\": 13820, \"source\": 0, \"target\": 3}, {\"weight\": 16620, \"source\": 0, \"target\": 4}, {\"weight\": 17889, \"source\": 0, \"target\": 5}, {\"weight\": 10575, \"source\": 0, \"target\": 1}, {\"weight\": 3892, \"source\": 0, \"target\": 6}, {\"weight\": 18107, \"source\": 1, \"target\": 2}, {\"weight\": 17634, \"source\": 1, \"target\": 7}, {\"weight\": 8252, \"source\": 1, \"target\": 8}, {\"weight\": 17935, \"source\": 1, \"target\": 3}, {\"weight\": 10315, \"source\": 1, \"target\": 4}, {\"weight\": 12835, \"source\": 1, \"target\": 5}, {\"weight\": 8753, \"source\": 1, \"target\": 6}, {\"weight\": 6059, \"source\": 2, \"target\": 7}, {\"weight\": 10379, \"source\": 2, \"target\": 8}, {\"weight\": 2394, \"source\": 2, \"target\": 3}, {\"weight\": 8631, \"source\": 2, \"target\": 4}, {\"weight\": 6276, \"source\": 2, \"target\": 5}, {\"weight\": 15228, \"source\": 2, \"target\": 6}, {\"weight\": 7845, \"source\": 3, \"target\": 7}, {\"weight\": 10074, \"source\": 3, \"target\": 8}, {\"weight\": 8416, \"source\": 3, \"target\": 4}, {\"weight\": 6224, \"source\": 3, \"target\": 5}, {\"weight\": 16916, \"source\": 3, \"target\": 6}, {\"weight\": 14435, \"source\": 4, \"target\": 7}, {\"weight\": 2407, \"source\": 4, \"target\": 8}, {\"weight\": 3179, \"source\": 4, \"target\": 5}, {\"weight\": 16432, \"source\": 4, \"target\": 6}, {\"weight\": 12164, \"source\": 5, \"target\": 7}, {\"weight\": 4826, \"source\": 5, \"target\": 8}, {\"weight\": 18971, \"source\": 5, \"target\": 6}, {\"weight\": 10422, \"source\": 6, \"target\": 7}, {\"weight\": 14422, \"source\": 6, \"target\": 8}, {\"weight\": 15867, \"source\": 7, \"target\": 8}]}",
"id": 2085,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DIL, HOI, PRN, BLJ, BJI, YIF, CED, BHJ, TUS\n- Travel distances (in kilometers) between each pair of airports:\nDIL to PRN: 11962\nDIL to BHJ: 7120\nDIL to TUS: 15833\nDIL to BLJ: 13820\nDIL to BJI: 16620\nDIL to YIF: 17889\nDIL to HOI: 10575\nDIL to CED: 3892\nHOI to PRN: 18107\nHOI to BHJ: 17634\nHOI to TUS: 8252\nHOI to BLJ: 17935\nHOI to BJI: 10315\nHOI to YIF: 12835\nHOI to CED: 8753\nPRN to BHJ: 6059\nPRN to TUS: 10379\nPRN to BLJ: 2394\nPRN to BJI: 8631\nPRN to YIF: 6276\nPRN to CED: 15228\nBLJ to BHJ: 7845\nBLJ to TUS: 10074\nBLJ to BJI: 8416\nBLJ to YIF: 6224\nBLJ to CED: 16916\nBJI to BHJ: 14435\nBJI to TUS: 2407\nBJI to YIF: 3179\nBJI to CED: 16432\nYIF to BHJ: 12164\nYIF to TUS: 4826\nYIF to CED: 18971\nCED to BHJ: 10422\nCED to TUS: 14422\nBHJ to TUS: 15867\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJW, TLC, CGI, ALO, VGA, HYG, PZH, HRM, ASR\n- Travel distances (in kilometers) between each pair of airports:\nSJW to TLC: 12840\nSJW to CGI: 11949\nSJW to ALO: 11726\nSJW to HRM: 9741\nSJW to VGA: 4792\nSJW to HYG: 10206\nSJW to ASR: 7662\nSJW to PZH: 4577\nTLC to CGI: 2587\nTLC to ALO: 3191\nTLC to HRM: 10395\nTLC to VGA: 16348\nTLC to HYG: 4964\nTLC to ASR: 12211\nTLC to PZH: 14921\nCGI to ALO: 973\nCGI to HRM: 8433\nCGI to VGA: 14130\nCGI to HYG: 4091\nCGI to ASR: 10004\nCGI to PZH: 12757\nALO to HRM: 8261\nALO to VGA: 13907\nALO to HYG: 4300\nALO to ASR: 9781\nALO to PZH: 12546\nVGA to HRM: 8280\nVGA to HYG: 14893\nVGA to ASR: 6261\nVGA to PZH: 2625\nHYG to HRM: 10910\nHYG to ASR: 11732\nHYG to PZH: 14277\nPZH to HRM: 6613\nPZH to ASR: 4621\nHRM to ASR: 3304\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42333,
"style": "rule"
}
|
{
"exact_answer": 42333,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SJW\", \"id\": 0}, {\"name\": \"TLC\", \"id\": 1}, {\"name\": \"CGI\", \"id\": 2}, {\"name\": \"ALO\", \"id\": 3}, {\"name\": \"VGA\", \"id\": 4}, {\"name\": \"HYG\", \"id\": 5}, {\"name\": \"PZH\", \"id\": 6}, {\"name\": \"HRM\", \"id\": 7}, {\"name\": \"ASR\", \"id\": 8}], \"links\": [{\"weight\": 12840, \"source\": 0, \"target\": 1}, {\"weight\": 11949, \"source\": 0, \"target\": 2}, {\"weight\": 11726, \"source\": 0, \"target\": 3}, {\"weight\": 9741, \"source\": 0, \"target\": 7}, {\"weight\": 4792, \"source\": 0, \"target\": 4}, {\"weight\": 10206, \"source\": 0, \"target\": 5}, {\"weight\": 7662, \"source\": 0, \"target\": 8}, {\"weight\": 4577, \"source\": 0, \"target\": 6}, {\"weight\": 2587, \"source\": 1, \"target\": 2}, {\"weight\": 3191, \"source\": 1, \"target\": 3}, {\"weight\": 10395, \"source\": 1, \"target\": 7}, {\"weight\": 16348, \"source\": 1, \"target\": 4}, {\"weight\": 4964, \"source\": 1, \"target\": 5}, {\"weight\": 12211, \"source\": 1, \"target\": 8}, {\"weight\": 14921, \"source\": 1, \"target\": 6}, {\"weight\": 973, \"source\": 2, \"target\": 3}, {\"weight\": 8433, \"source\": 2, \"target\": 7}, {\"weight\": 14130, \"source\": 2, \"target\": 4}, {\"weight\": 4091, \"source\": 2, \"target\": 5}, {\"weight\": 10004, \"source\": 2, \"target\": 8}, {\"weight\": 12757, \"source\": 2, \"target\": 6}, {\"weight\": 8261, \"source\": 3, \"target\": 7}, {\"weight\": 13907, \"source\": 3, \"target\": 4}, {\"weight\": 4300, \"source\": 3, \"target\": 5}, {\"weight\": 9781, \"source\": 3, \"target\": 8}, {\"weight\": 12546, \"source\": 3, \"target\": 6}, {\"weight\": 8280, \"source\": 4, \"target\": 7}, {\"weight\": 14893, \"source\": 4, \"target\": 5}, {\"weight\": 6261, \"source\": 4, \"target\": 8}, {\"weight\": 2625, \"source\": 4, \"target\": 6}, {\"weight\": 10910, \"source\": 5, \"target\": 7}, {\"weight\": 11732, \"source\": 5, \"target\": 8}, {\"weight\": 14277, \"source\": 5, \"target\": 6}, {\"weight\": 6613, \"source\": 6, \"target\": 7}, {\"weight\": 4621, \"source\": 6, \"target\": 8}, {\"weight\": 3304, \"source\": 7, \"target\": 8}]}",
"id": 2086,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SJW, TLC, CGI, ALO, VGA, HYG, PZH, HRM, ASR\n- Travel distances (in kilometers) between each pair of airports:\nSJW to TLC: 12840\nSJW to CGI: 11949\nSJW to ALO: 11726\nSJW to HRM: 9741\nSJW to VGA: 4792\nSJW to HYG: 10206\nSJW to ASR: 7662\nSJW to PZH: 4577\nTLC to CGI: 2587\nTLC to ALO: 3191\nTLC to HRM: 10395\nTLC to VGA: 16348\nTLC to HYG: 4964\nTLC to ASR: 12211\nTLC to PZH: 14921\nCGI to ALO: 973\nCGI to HRM: 8433\nCGI to VGA: 14130\nCGI to HYG: 4091\nCGI to ASR: 10004\nCGI to PZH: 12757\nALO to HRM: 8261\nALO to VGA: 13907\nALO to HYG: 4300\nALO to ASR: 9781\nALO to PZH: 12546\nVGA to HRM: 8280\nVGA to HYG: 14893\nVGA to ASR: 6261\nVGA to PZH: 2625\nHYG to HRM: 10910\nHYG to ASR: 11732\nHYG to PZH: 14277\nPZH to HRM: 6613\nPZH to ASR: 4621\nHRM to ASR: 3304\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AIT, BLR, SEN, HVD, XSC, RAS, SSY, TRE, OGZ\n- Travel distances (in kilometers) between each pair of airports:\nAIT to BLR: 14710\nAIT to RAS: 18451\nAIT to TRE: 16382\nAIT to SEN: 16845\nAIT to SSY: 18846\nAIT to XSC: 12570\nAIT to HVD: 15035\nAIT to OGZ: 19435\nBLR to RAS: 4137\nBLR to TRE: 8537\nBLR to SEN: 8002\nBLR to SSY: 8446\nBLR to XSC: 15352\nBLR to HVD: 7270\nBLR to OGZ: 7333\nSEN to RAS: 4782\nSEN to TRE: 976\nSEN to SSY: 7447\nSEN to XSC: 7689\nSEN to HVD: 8195\nSEN to OGZ: 3913\nHVD to RAS: 6121\nHVD to TRE: 8687\nHVD to SSY: 12554\nHVD to XSC: 15325\nHVD to OGZ: 7973\nXSC to RAS: 12027\nXSC to TRE: 7539\nXSC to SSY: 12458\nXSC to OGZ: 11067\nRAS to TRE: 5376\nRAS to SSY: 7127\nRAS to OGZ: 4505\nSSY to TRE: 7864\nSSY to OGZ: 9264\nTRE to OGZ: 4415\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67381,
"style": "rule"
}
|
{
"exact_answer": 67381,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AIT\", \"id\": 0}, {\"name\": \"BLR\", \"id\": 1}, {\"name\": \"SEN\", \"id\": 2}, {\"name\": \"HVD\", \"id\": 3}, {\"name\": \"XSC\", \"id\": 4}, {\"name\": \"RAS\", \"id\": 5}, {\"name\": \"SSY\", \"id\": 6}, {\"name\": \"TRE\", \"id\": 7}, {\"name\": \"OGZ\", \"id\": 8}], \"links\": [{\"weight\": 14710, \"source\": 0, \"target\": 1}, {\"weight\": 18451, \"source\": 0, \"target\": 5}, {\"weight\": 16382, \"source\": 0, \"target\": 7}, {\"weight\": 16845, \"source\": 0, \"target\": 2}, {\"weight\": 18846, \"source\": 0, \"target\": 6}, {\"weight\": 12570, \"source\": 0, \"target\": 4}, {\"weight\": 15035, \"source\": 0, \"target\": 3}, {\"weight\": 19435, \"source\": 0, \"target\": 8}, {\"weight\": 4137, \"source\": 1, \"target\": 5}, {\"weight\": 8537, \"source\": 1, \"target\": 7}, {\"weight\": 8002, \"source\": 1, \"target\": 2}, {\"weight\": 8446, \"source\": 1, \"target\": 6}, {\"weight\": 15352, \"source\": 1, \"target\": 4}, {\"weight\": 7270, \"source\": 1, \"target\": 3}, {\"weight\": 7333, \"source\": 1, \"target\": 8}, {\"weight\": 4782, \"source\": 2, \"target\": 5}, {\"weight\": 976, \"source\": 2, \"target\": 7}, {\"weight\": 7447, \"source\": 2, \"target\": 6}, {\"weight\": 7689, \"source\": 2, \"target\": 4}, {\"weight\": 8195, \"source\": 2, \"target\": 3}, {\"weight\": 3913, \"source\": 2, \"target\": 8}, {\"weight\": 6121, \"source\": 3, \"target\": 5}, {\"weight\": 8687, \"source\": 3, \"target\": 7}, {\"weight\": 12554, \"source\": 3, \"target\": 6}, {\"weight\": 15325, \"source\": 3, \"target\": 4}, {\"weight\": 7973, \"source\": 3, \"target\": 8}, {\"weight\": 12027, \"source\": 4, \"target\": 5}, {\"weight\": 7539, \"source\": 4, \"target\": 7}, {\"weight\": 12458, \"source\": 4, \"target\": 6}, {\"weight\": 11067, \"source\": 4, \"target\": 8}, {\"weight\": 5376, \"source\": 5, \"target\": 7}, {\"weight\": 7127, \"source\": 5, \"target\": 6}, {\"weight\": 4505, \"source\": 5, \"target\": 8}, {\"weight\": 7864, \"source\": 6, \"target\": 7}, {\"weight\": 9264, \"source\": 6, \"target\": 8}, {\"weight\": 4415, \"source\": 7, \"target\": 8}]}",
"id": 2087,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AIT, BLR, SEN, HVD, XSC, RAS, SSY, TRE, OGZ\n- Travel distances (in kilometers) between each pair of airports:\nAIT to BLR: 14710\nAIT to RAS: 18451\nAIT to TRE: 16382\nAIT to SEN: 16845\nAIT to SSY: 18846\nAIT to XSC: 12570\nAIT to HVD: 15035\nAIT to OGZ: 19435\nBLR to RAS: 4137\nBLR to TRE: 8537\nBLR to SEN: 8002\nBLR to SSY: 8446\nBLR to XSC: 15352\nBLR to HVD: 7270\nBLR to OGZ: 7333\nSEN to RAS: 4782\nSEN to TRE: 976\nSEN to SSY: 7447\nSEN to XSC: 7689\nSEN to HVD: 8195\nSEN to OGZ: 3913\nHVD to RAS: 6121\nHVD to TRE: 8687\nHVD to SSY: 12554\nHVD to XSC: 15325\nHVD to OGZ: 7973\nXSC to RAS: 12027\nXSC to TRE: 7539\nXSC to SSY: 12458\nXSC to OGZ: 11067\nRAS to TRE: 5376\nRAS to SSY: 7127\nRAS to OGZ: 4505\nSSY to TRE: 7864\nSSY to OGZ: 9264\nTRE to OGZ: 4415\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACT, PAD, JUZ, ZAL, MSO, BRM, STZ, GGT, KME\n- Travel distances (in kilometers) between each pair of airports:\nACT to GGT: 2455\nACT to BRM: 4063\nACT to PAD: 9128\nACT to MSO: 2267\nACT to JUZ: 12931\nACT to ZAL: 8734\nACT to STZ: 8867\nACT to KME: 13983\nPAD to GGT: 8573\nPAD to BRM: 8992\nPAD to MSO: 9399\nPAD to JUZ: 9736\nPAD to ZAL: 13317\nPAD to STZ: 10439\nPAD to KME: 6780\nJUZ to GGT: 14569\nJUZ to BRM: 16164\nJUZ to MSO: 10795\nJUZ to ZAL: 19978\nJUZ to STZ: 19683\nJUZ to KME: 10586\nZAL to GGT: 7548\nZAL to BRM: 5898\nZAL to MSO: 10713\nZAL to STZ: 5305\nZAL to KME: 12234\nMSO to GGT: 4342\nMSO to BRM: 6004\nMSO to STZ: 10760\nMSO to KME: 14924\nBRM to GGT: 2271\nBRM to STZ: 5270\nBRM to KME: 12819\nSTZ to GGT: 7283\nSTZ to KME: 10603\nGGT to KME: 13711\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56110,
"style": "rule"
}
|
{
"exact_answer": 56110,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACT\", \"id\": 0}, {\"name\": \"PAD\", \"id\": 1}, {\"name\": \"JUZ\", \"id\": 2}, {\"name\": \"ZAL\", \"id\": 3}, {\"name\": \"MSO\", \"id\": 4}, {\"name\": \"BRM\", \"id\": 5}, {\"name\": \"STZ\", \"id\": 6}, {\"name\": \"GGT\", \"id\": 7}, {\"name\": \"KME\", \"id\": 8}], \"links\": [{\"weight\": 2455, \"source\": 0, \"target\": 7}, {\"weight\": 4063, \"source\": 0, \"target\": 5}, {\"weight\": 9128, \"source\": 0, \"target\": 1}, {\"weight\": 2267, \"source\": 0, \"target\": 4}, {\"weight\": 12931, \"source\": 0, \"target\": 2}, {\"weight\": 8734, \"source\": 0, \"target\": 3}, {\"weight\": 8867, \"source\": 0, \"target\": 6}, {\"weight\": 13983, \"source\": 0, \"target\": 8}, {\"weight\": 8573, \"source\": 1, \"target\": 7}, {\"weight\": 8992, \"source\": 1, \"target\": 5}, {\"weight\": 9399, \"source\": 1, \"target\": 4}, {\"weight\": 9736, \"source\": 1, \"target\": 2}, {\"weight\": 13317, \"source\": 1, \"target\": 3}, {\"weight\": 10439, \"source\": 1, \"target\": 6}, {\"weight\": 6780, \"source\": 1, \"target\": 8}, {\"weight\": 14569, \"source\": 2, \"target\": 7}, {\"weight\": 16164, \"source\": 2, \"target\": 5}, {\"weight\": 10795, \"source\": 2, \"target\": 4}, {\"weight\": 19978, \"source\": 2, \"target\": 3}, {\"weight\": 19683, \"source\": 2, \"target\": 6}, {\"weight\": 10586, \"source\": 2, \"target\": 8}, {\"weight\": 7548, \"source\": 3, \"target\": 7}, {\"weight\": 5898, \"source\": 3, \"target\": 5}, {\"weight\": 10713, \"source\": 3, \"target\": 4}, {\"weight\": 5305, \"source\": 3, \"target\": 6}, {\"weight\": 12234, \"source\": 3, \"target\": 8}, {\"weight\": 4342, \"source\": 4, \"target\": 7}, {\"weight\": 6004, \"source\": 4, \"target\": 5}, {\"weight\": 10760, \"source\": 4, \"target\": 6}, {\"weight\": 14924, \"source\": 4, \"target\": 8}, {\"weight\": 2271, \"source\": 5, \"target\": 7}, {\"weight\": 5270, \"source\": 5, \"target\": 6}, {\"weight\": 12819, \"source\": 5, \"target\": 8}, {\"weight\": 7283, \"source\": 6, \"target\": 7}, {\"weight\": 10603, \"source\": 6, \"target\": 8}, {\"weight\": 13711, \"source\": 7, \"target\": 8}]}",
"id": 2088,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACT, PAD, JUZ, ZAL, MSO, BRM, STZ, GGT, KME\n- Travel distances (in kilometers) between each pair of airports:\nACT to GGT: 2455\nACT to BRM: 4063\nACT to PAD: 9128\nACT to MSO: 2267\nACT to JUZ: 12931\nACT to ZAL: 8734\nACT to STZ: 8867\nACT to KME: 13983\nPAD to GGT: 8573\nPAD to BRM: 8992\nPAD to MSO: 9399\nPAD to JUZ: 9736\nPAD to ZAL: 13317\nPAD to STZ: 10439\nPAD to KME: 6780\nJUZ to GGT: 14569\nJUZ to BRM: 16164\nJUZ to MSO: 10795\nJUZ to ZAL: 19978\nJUZ to STZ: 19683\nJUZ to KME: 10586\nZAL to GGT: 7548\nZAL to BRM: 5898\nZAL to MSO: 10713\nZAL to STZ: 5305\nZAL to KME: 12234\nMSO to GGT: 4342\nMSO to BRM: 6004\nMSO to STZ: 10760\nMSO to KME: 14924\nBRM to GGT: 2271\nBRM to STZ: 5270\nBRM to KME: 12819\nSTZ to GGT: 7283\nSTZ to KME: 10603\nGGT to KME: 13711\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NDR, HND, PSC, TTU, KSJ, MAN, SZB, KLR, ITB\n- Travel distances (in kilometers) between each pair of airports:\nNDR to MAN: 2191\nNDR to HND: 11278\nNDR to KSJ: 3057\nNDR to ITB: 7804\nNDR to PSC: 9667\nNDR to TTU: 779\nNDR to KLR: 3447\nNDR to SZB: 11501\nHND to MAN: 9832\nHND to KSJ: 10108\nHND to ITB: 16796\nHND to PSC: 7986\nHND to TTU: 11960\nHND to KLR: 8759\nHND to SZB: 5535\nPSC to MAN: 7739\nPSC to KSJ: 10704\nPSC to ITB: 8823\nPSC to TTU: 9534\nPSC to KLR: 8571\nPSC to SZB: 13380\nTTU to MAN: 2625\nTTU to KSJ: 3675\nTTU to ITB: 7671\nTTU to KLR: 4082\nTTU to SZB: 11988\nKSJ to MAN: 3057\nKSJ to ITB: 10700\nKSJ to KLR: 3216\nKSJ to SZB: 9133\nMAN to ITB: 9402\nMAN to KLR: 1721\nMAN to SZB: 10663\nSZB to ITB: 18595\nSZB to KLR: 9688\nKLR to ITB: 10766\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47055,
"style": "rule"
}
|
{
"exact_answer": 47055,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NDR\", \"id\": 0}, {\"name\": \"HND\", \"id\": 1}, {\"name\": \"PSC\", \"id\": 2}, {\"name\": \"TTU\", \"id\": 3}, {\"name\": \"KSJ\", \"id\": 4}, {\"name\": \"MAN\", \"id\": 5}, {\"name\": \"SZB\", \"id\": 6}, {\"name\": \"KLR\", \"id\": 7}, {\"name\": \"ITB\", \"id\": 8}], \"links\": [{\"weight\": 2191, \"source\": 0, \"target\": 5}, {\"weight\": 11278, \"source\": 0, \"target\": 1}, {\"weight\": 3057, \"source\": 0, \"target\": 4}, {\"weight\": 7804, \"source\": 0, \"target\": 8}, {\"weight\": 9667, \"source\": 0, \"target\": 2}, {\"weight\": 779, \"source\": 0, \"target\": 3}, {\"weight\": 3447, \"source\": 0, \"target\": 7}, {\"weight\": 11501, \"source\": 0, \"target\": 6}, {\"weight\": 9832, \"source\": 1, \"target\": 5}, {\"weight\": 10108, \"source\": 1, \"target\": 4}, {\"weight\": 16796, \"source\": 1, \"target\": 8}, {\"weight\": 7986, \"source\": 1, \"target\": 2}, {\"weight\": 11960, \"source\": 1, \"target\": 3}, {\"weight\": 8759, \"source\": 1, \"target\": 7}, {\"weight\": 5535, \"source\": 1, \"target\": 6}, {\"weight\": 7739, \"source\": 2, \"target\": 5}, {\"weight\": 10704, \"source\": 2, \"target\": 4}, {\"weight\": 8823, \"source\": 2, \"target\": 8}, {\"weight\": 9534, \"source\": 2, \"target\": 3}, {\"weight\": 8571, \"source\": 2, \"target\": 7}, {\"weight\": 13380, \"source\": 2, \"target\": 6}, {\"weight\": 2625, \"source\": 3, \"target\": 5}, {\"weight\": 3675, \"source\": 3, \"target\": 4}, {\"weight\": 7671, \"source\": 3, \"target\": 8}, {\"weight\": 4082, \"source\": 3, \"target\": 7}, {\"weight\": 11988, \"source\": 3, \"target\": 6}, {\"weight\": 3057, \"source\": 4, \"target\": 5}, {\"weight\": 10700, \"source\": 4, \"target\": 8}, {\"weight\": 3216, \"source\": 4, \"target\": 7}, {\"weight\": 9133, \"source\": 4, \"target\": 6}, {\"weight\": 9402, \"source\": 5, \"target\": 8}, {\"weight\": 1721, \"source\": 5, \"target\": 7}, {\"weight\": 10663, \"source\": 5, \"target\": 6}, {\"weight\": 18595, \"source\": 6, \"target\": 8}, {\"weight\": 9688, \"source\": 6, \"target\": 7}, {\"weight\": 10766, \"source\": 7, \"target\": 8}]}",
"id": 2089,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NDR, HND, PSC, TTU, KSJ, MAN, SZB, KLR, ITB\n- Travel distances (in kilometers) between each pair of airports:\nNDR to MAN: 2191\nNDR to HND: 11278\nNDR to KSJ: 3057\nNDR to ITB: 7804\nNDR to PSC: 9667\nNDR to TTU: 779\nNDR to KLR: 3447\nNDR to SZB: 11501\nHND to MAN: 9832\nHND to KSJ: 10108\nHND to ITB: 16796\nHND to PSC: 7986\nHND to TTU: 11960\nHND to KLR: 8759\nHND to SZB: 5535\nPSC to MAN: 7739\nPSC to KSJ: 10704\nPSC to ITB: 8823\nPSC to TTU: 9534\nPSC to KLR: 8571\nPSC to SZB: 13380\nTTU to MAN: 2625\nTTU to KSJ: 3675\nTTU to ITB: 7671\nTTU to KLR: 4082\nTTU to SZB: 11988\nKSJ to MAN: 3057\nKSJ to ITB: 10700\nKSJ to KLR: 3216\nKSJ to SZB: 9133\nMAN to ITB: 9402\nMAN to KLR: 1721\nMAN to SZB: 10663\nSZB to ITB: 18595\nSZB to KLR: 9688\nKLR to ITB: 10766\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IGA, PKN, SAW, PDV, JQA, TNN, BOD, TNR, SQS\n- Travel distances (in kilometers) between each pair of airports:\nIGA to BOD: 8410\nIGA to SAW: 10123\nIGA to SQS: 2156\nIGA to TNR: 16564\nIGA to TNN: 15867\nIGA to PDV: 10030\nIGA to JQA: 8624\nIGA to PKN: 18308\nPKN to PKN: 0\nPKN to BOD: 12354\nPKN to SAW: 9906\nPKN to SQS: 17824\nPKN to TNR: 8102\nPKN to TNN: 3871\nPKN to PDV: 13294\nPKN to JQA: 14904\nSAW to BOD: 2471\nSAW to SQS: 10964\nSAW to TNR: 6998\nSAW to TNN: 8653\nSAW to PDV: 3612\nSAW to JQA: 5890\nPDV to BOD: 2934\nPDV to SQS: 10653\nPDV to TNR: 10383\nPDV to TNN: 11572\nPDV to JQA: 6107\nJQA to BOD: 4699\nJQA to SQS: 9307\nJQA to TNR: 12822\nJQA to TNN: 13041\nTNN to BOD: 10699\nTNN to SQS: 15704\nTNN to TNR: 9200\nBOD to SQS: 8962\nBOD to TNR: 8648\nTNR to SQS: 16144\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56700,
"style": "rule"
}
|
{
"exact_answer": 56700,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IGA\", \"id\": 0}, {\"name\": \"PKN\", \"id\": 1}, {\"name\": \"SAW\", \"id\": 2}, {\"name\": \"PDV\", \"id\": 3}, {\"name\": \"JQA\", \"id\": 4}, {\"name\": \"TNN\", \"id\": 5}, {\"name\": \"BOD\", \"id\": 6}, {\"name\": \"TNR\", \"id\": 7}, {\"name\": \"SQS\", \"id\": 8}], \"links\": [{\"weight\": 8410, \"source\": 0, \"target\": 6}, {\"weight\": 10123, \"source\": 0, \"target\": 2}, {\"weight\": 2156, \"source\": 0, \"target\": 8}, {\"weight\": 16564, \"source\": 0, \"target\": 7}, {\"weight\": 15867, \"source\": 0, \"target\": 5}, {\"weight\": 10030, \"source\": 0, \"target\": 3}, {\"weight\": 8624, \"source\": 0, \"target\": 4}, {\"weight\": 18308, \"source\": 0, \"target\": 1}, {\"weight\": 0, \"source\": 1, \"target\": 1}, {\"weight\": 12354, \"source\": 1, \"target\": 6}, {\"weight\": 9906, \"source\": 1, \"target\": 2}, {\"weight\": 17824, \"source\": 1, \"target\": 8}, {\"weight\": 8102, \"source\": 1, \"target\": 7}, {\"weight\": 3871, \"source\": 1, \"target\": 5}, {\"weight\": 13294, \"source\": 1, \"target\": 3}, {\"weight\": 14904, \"source\": 1, \"target\": 4}, {\"weight\": 2471, \"source\": 2, \"target\": 6}, {\"weight\": 10964, \"source\": 2, \"target\": 8}, {\"weight\": 6998, \"source\": 2, \"target\": 7}, {\"weight\": 8653, \"source\": 2, \"target\": 5}, {\"weight\": 3612, \"source\": 2, \"target\": 3}, {\"weight\": 5890, \"source\": 2, \"target\": 4}, {\"weight\": 2934, \"source\": 3, \"target\": 6}, {\"weight\": 10653, \"source\": 3, \"target\": 8}, {\"weight\": 10383, \"source\": 3, \"target\": 7}, {\"weight\": 11572, \"source\": 3, \"target\": 5}, {\"weight\": 6107, \"source\": 3, \"target\": 4}, {\"weight\": 4699, \"source\": 4, \"target\": 6}, {\"weight\": 9307, \"source\": 4, \"target\": 8}, {\"weight\": 12822, \"source\": 4, \"target\": 7}, {\"weight\": 13041, \"source\": 4, \"target\": 5}, {\"weight\": 10699, \"source\": 5, \"target\": 6}, {\"weight\": 15704, \"source\": 5, \"target\": 8}, {\"weight\": 9200, \"source\": 5, \"target\": 7}, {\"weight\": 8962, \"source\": 6, \"target\": 8}, {\"weight\": 8648, \"source\": 6, \"target\": 7}, {\"weight\": 16144, \"source\": 7, \"target\": 8}]}",
"id": 2090,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IGA, PKN, SAW, PDV, JQA, TNN, BOD, TNR, SQS\n- Travel distances (in kilometers) between each pair of airports:\nIGA to BOD: 8410\nIGA to SAW: 10123\nIGA to SQS: 2156\nIGA to TNR: 16564\nIGA to TNN: 15867\nIGA to PDV: 10030\nIGA to JQA: 8624\nIGA to PKN: 18308\nPKN to PKN: 0\nPKN to BOD: 12354\nPKN to SAW: 9906\nPKN to SQS: 17824\nPKN to TNR: 8102\nPKN to TNN: 3871\nPKN to PDV: 13294\nPKN to JQA: 14904\nSAW to BOD: 2471\nSAW to SQS: 10964\nSAW to TNR: 6998\nSAW to TNN: 8653\nSAW to PDV: 3612\nSAW to JQA: 5890\nPDV to BOD: 2934\nPDV to SQS: 10653\nPDV to TNR: 10383\nPDV to TNN: 11572\nPDV to JQA: 6107\nJQA to BOD: 4699\nJQA to SQS: 9307\nJQA to TNR: 12822\nJQA to TNN: 13041\nTNN to BOD: 10699\nTNN to SQS: 15704\nTNN to TNR: 9200\nBOD to SQS: 8962\nBOD to TNR: 8648\nTNR to SQS: 16144\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GPS, MLY, WAG, KRT, YHI, YQX, TET, KDI, MJV\n- Travel distances (in kilometers) between each pair of airports:\nGPS to MLY: 10732\nGPS to YHI: 10062\nGPS to YQX: 7514\nGPS to KRT: 15097\nGPS to MJV: 10565\nGPS to KDI: 21455\nGPS to WAG: 14749\nGPS to TET: 14445\nMLY to YHI: 5448\nMLY to YQX: 7734\nMLY to KRT: 15327\nMLY to MJV: 11741\nMLY to KDI: 16100\nMLY to WAG: 12441\nMLY to TET: 19275\nWAG to YHI: 14456\nWAG to YQX: 16405\nWAG to KRT: 16588\nWAG to MJV: 20139\nWAG to KDI: 8078\nWAG to TET: 14759\nKRT to YHI: 13802\nKRT to YQX: 9064\nKRT to MJV: 5350\nKRT to KDI: 10435\nKRT to TET: 4109\nYHI to YQX: 5532\nYHI to MJV: 10216\nYHI to KDI: 15998\nYHI to TET: 17762\nYQX to MJV: 5541\nYQX to KDI: 16998\nYQX to TET: 12923\nTET to MJV: 9444\nTET to KDI: 12100\nKDI to MJV: 13965\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 70643,
"style": "rule"
}
|
{
"exact_answer": 70643,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GPS\", \"id\": 0}, {\"name\": \"MLY\", \"id\": 1}, {\"name\": \"WAG\", \"id\": 2}, {\"name\": \"KRT\", \"id\": 3}, {\"name\": \"YHI\", \"id\": 4}, {\"name\": \"YQX\", \"id\": 5}, {\"name\": \"TET\", \"id\": 6}, {\"name\": \"KDI\", \"id\": 7}, {\"name\": \"MJV\", \"id\": 8}], \"links\": [{\"weight\": 10732, \"source\": 0, \"target\": 1}, {\"weight\": 10062, \"source\": 0, \"target\": 4}, {\"weight\": 7514, \"source\": 0, \"target\": 5}, {\"weight\": 15097, \"source\": 0, \"target\": 3}, {\"weight\": 10565, \"source\": 0, \"target\": 8}, {\"weight\": 21455, \"source\": 0, \"target\": 7}, {\"weight\": 14749, \"source\": 0, \"target\": 2}, {\"weight\": 14445, \"source\": 0, \"target\": 6}, {\"weight\": 5448, \"source\": 1, \"target\": 4}, {\"weight\": 7734, \"source\": 1, \"target\": 5}, {\"weight\": 15327, \"source\": 1, \"target\": 3}, {\"weight\": 11741, \"source\": 1, \"target\": 8}, {\"weight\": 16100, \"source\": 1, \"target\": 7}, {\"weight\": 12441, \"source\": 1, \"target\": 2}, {\"weight\": 19275, \"source\": 1, \"target\": 6}, {\"weight\": 14456, \"source\": 2, \"target\": 4}, {\"weight\": 16405, \"source\": 2, \"target\": 5}, {\"weight\": 16588, \"source\": 2, \"target\": 3}, {\"weight\": 20139, \"source\": 2, \"target\": 8}, {\"weight\": 8078, \"source\": 2, \"target\": 7}, {\"weight\": 14759, \"source\": 2, \"target\": 6}, {\"weight\": 13802, \"source\": 3, \"target\": 4}, {\"weight\": 9064, \"source\": 3, \"target\": 5}, {\"weight\": 5350, \"source\": 3, \"target\": 8}, {\"weight\": 10435, \"source\": 3, \"target\": 7}, {\"weight\": 4109, \"source\": 3, \"target\": 6}, {\"weight\": 5532, \"source\": 4, \"target\": 5}, {\"weight\": 10216, \"source\": 4, \"target\": 8}, {\"weight\": 15998, \"source\": 4, \"target\": 7}, {\"weight\": 17762, \"source\": 4, \"target\": 6}, {\"weight\": 5541, \"source\": 5, \"target\": 8}, {\"weight\": 16998, \"source\": 5, \"target\": 7}, {\"weight\": 12923, \"source\": 5, \"target\": 6}, {\"weight\": 9444, \"source\": 6, \"target\": 8}, {\"weight\": 12100, \"source\": 6, \"target\": 7}, {\"weight\": 13965, \"source\": 7, \"target\": 8}]}",
"id": 2091,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GPS, MLY, WAG, KRT, YHI, YQX, TET, KDI, MJV\n- Travel distances (in kilometers) between each pair of airports:\nGPS to MLY: 10732\nGPS to YHI: 10062\nGPS to YQX: 7514\nGPS to KRT: 15097\nGPS to MJV: 10565\nGPS to KDI: 21455\nGPS to WAG: 14749\nGPS to TET: 14445\nMLY to YHI: 5448\nMLY to YQX: 7734\nMLY to KRT: 15327\nMLY to MJV: 11741\nMLY to KDI: 16100\nMLY to WAG: 12441\nMLY to TET: 19275\nWAG to YHI: 14456\nWAG to YQX: 16405\nWAG to KRT: 16588\nWAG to MJV: 20139\nWAG to KDI: 8078\nWAG to TET: 14759\nKRT to YHI: 13802\nKRT to YQX: 9064\nKRT to MJV: 5350\nKRT to KDI: 10435\nKRT to TET: 4109\nYHI to YQX: 5532\nYHI to MJV: 10216\nYHI to KDI: 15998\nYHI to TET: 17762\nYQX to MJV: 5541\nYQX to KDI: 16998\nYQX to TET: 12923\nTET to MJV: 9444\nTET to KDI: 12100\nKDI to MJV: 13965\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, TRK, CME, LNK, SGD, TET, KSM, FMO, LUD\n- Travel distances (in kilometers) between each pair of airports:\nBDH to CME: 14460\nBDH to SGD: 5099\nBDH to KSM: 15111\nBDH to FMO: 4974\nBDH to LNK: 12318\nBDH to TRK: 7455\nBDH to TET: 5706\nBDH to LUD: 7441\nTRK to CME: 16520\nTRK to SGD: 11115\nTRK to KSM: 15215\nTRK to FMO: 11380\nTRK to LNK: 14531\nTRK to TET: 11557\nTRK to LUD: 12149\nCME to SGD: 9833\nCME to KSM: 7267\nCME to FMO: 9741\nCME to LNK: 3375\nCME to TET: 16888\nCME to LUD: 15600\nLNK to SGD: 7796\nLNK to KSM: 5250\nLNK to FMO: 7624\nLNK to TET: 15969\nLNK to LUD: 14338\nSGD to KSM: 11182\nSGD to FMO: 700\nSGD to TET: 9105\nSGD to LUD: 9501\nTET to KSM: 19715\nTET to FMO: 8726\nTET to LUD: 2929\nKSM to FMO: 11200\nKSM to LUD: 18804\nFMO to LUD: 8869\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59312,
"style": "rule"
}
|
{
"exact_answer": 59312,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BDH\", \"id\": 0}, {\"name\": \"TRK\", \"id\": 1}, {\"name\": \"CME\", \"id\": 2}, {\"name\": \"LNK\", \"id\": 3}, {\"name\": \"SGD\", \"id\": 4}, {\"name\": \"TET\", \"id\": 5}, {\"name\": \"KSM\", \"id\": 6}, {\"name\": \"FMO\", \"id\": 7}, {\"name\": \"LUD\", \"id\": 8}], \"links\": [{\"weight\": 14460, \"source\": 0, \"target\": 2}, {\"weight\": 5099, \"source\": 0, \"target\": 4}, {\"weight\": 15111, \"source\": 0, \"target\": 6}, {\"weight\": 4974, \"source\": 0, \"target\": 7}, {\"weight\": 12318, \"source\": 0, \"target\": 3}, {\"weight\": 7455, \"source\": 0, \"target\": 1}, {\"weight\": 5706, \"source\": 0, \"target\": 5}, {\"weight\": 7441, \"source\": 0, \"target\": 8}, {\"weight\": 16520, \"source\": 1, \"target\": 2}, {\"weight\": 11115, \"source\": 1, \"target\": 4}, {\"weight\": 15215, \"source\": 1, \"target\": 6}, {\"weight\": 11380, \"source\": 1, \"target\": 7}, {\"weight\": 14531, \"source\": 1, \"target\": 3}, {\"weight\": 11557, \"source\": 1, \"target\": 5}, {\"weight\": 12149, \"source\": 1, \"target\": 8}, {\"weight\": 9833, \"source\": 2, \"target\": 4}, {\"weight\": 7267, \"source\": 2, \"target\": 6}, {\"weight\": 9741, \"source\": 2, \"target\": 7}, {\"weight\": 3375, \"source\": 2, \"target\": 3}, {\"weight\": 16888, \"source\": 2, \"target\": 5}, {\"weight\": 15600, \"source\": 2, \"target\": 8}, {\"weight\": 7796, \"source\": 3, \"target\": 4}, {\"weight\": 5250, \"source\": 3, \"target\": 6}, {\"weight\": 7624, \"source\": 3, \"target\": 7}, {\"weight\": 15969, \"source\": 3, \"target\": 5}, {\"weight\": 14338, \"source\": 3, \"target\": 8}, {\"weight\": 11182, \"source\": 4, \"target\": 6}, {\"weight\": 700, \"source\": 4, \"target\": 7}, {\"weight\": 9105, \"source\": 4, \"target\": 5}, {\"weight\": 9501, \"source\": 4, \"target\": 8}, {\"weight\": 19715, \"source\": 5, \"target\": 6}, {\"weight\": 8726, \"source\": 5, \"target\": 7}, {\"weight\": 2929, \"source\": 5, \"target\": 8}, {\"weight\": 11200, \"source\": 6, \"target\": 7}, {\"weight\": 18804, \"source\": 6, \"target\": 8}, {\"weight\": 8869, \"source\": 7, \"target\": 8}]}",
"id": 2092,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, TRK, CME, LNK, SGD, TET, KSM, FMO, LUD\n- Travel distances (in kilometers) between each pair of airports:\nBDH to CME: 14460\nBDH to SGD: 5099\nBDH to KSM: 15111\nBDH to FMO: 4974\nBDH to LNK: 12318\nBDH to TRK: 7455\nBDH to TET: 5706\nBDH to LUD: 7441\nTRK to CME: 16520\nTRK to SGD: 11115\nTRK to KSM: 15215\nTRK to FMO: 11380\nTRK to LNK: 14531\nTRK to TET: 11557\nTRK to LUD: 12149\nCME to SGD: 9833\nCME to KSM: 7267\nCME to FMO: 9741\nCME to LNK: 3375\nCME to TET: 16888\nCME to LUD: 15600\nLNK to SGD: 7796\nLNK to KSM: 5250\nLNK to FMO: 7624\nLNK to TET: 15969\nLNK to LUD: 14338\nSGD to KSM: 11182\nSGD to FMO: 700\nSGD to TET: 9105\nSGD to LUD: 9501\nTET to KSM: 19715\nTET to FMO: 8726\nTET to LUD: 2929\nKSM to FMO: 11200\nKSM to LUD: 18804\nFMO to LUD: 8869\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZCL, ODS, PHW, OZH, SIN, BZO, VAR, ELD, BNY\n- Travel distances (in kilometers) between each pair of airports:\nZCL to SIN: 16073\nZCL to ODS: 10998\nZCL to BZO: 10778\nZCL to VAR: 11125\nZCL to BNY: 13158\nZCL to ELD: 2193\nZCL to OZH: 11137\nZCL to PHW: 15790\nODS to SIN: 9048\nODS to BZO: 2381\nODS to VAR: 1425\nODS to BNY: 14763\nODS to ELD: 9524\nODS to OZH: 1988\nODS to PHW: 8475\nPHW to SIN: 9037\nPHW to BZO: 9319\nPHW to VAR: 8647\nPHW to BNY: 14494\nPHW to ELD: 14824\nPHW to OZH: 9410\nOZH to SIN: 9316\nOZH to BZO: 2692\nOZH to VAR: 2259\nOZH to BNY: 14787\nOZH to ELD: 9678\nSIN to BZO: 10574\nSIN to VAR: 9515\nSIN to BNY: 6553\nSIN to ELD: 16040\nBZO to VAR: 1811\nBZO to BNY: 16487\nBZO to ELD: 9250\nVAR to BNY: 15324\nVAR to ELD: 9617\nELD to BNY: 13592\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54724,
"style": "rule"
}
|
{
"exact_answer": 54724,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZCL\", \"id\": 0}, {\"name\": \"ODS\", \"id\": 1}, {\"name\": \"PHW\", \"id\": 2}, {\"name\": \"OZH\", \"id\": 3}, {\"name\": \"SIN\", \"id\": 4}, {\"name\": \"BZO\", \"id\": 5}, {\"name\": \"VAR\", \"id\": 6}, {\"name\": \"ELD\", \"id\": 7}, {\"name\": \"BNY\", \"id\": 8}], \"links\": [{\"weight\": 16073, \"source\": 0, \"target\": 4}, {\"weight\": 10998, \"source\": 0, \"target\": 1}, {\"weight\": 10778, \"source\": 0, \"target\": 5}, {\"weight\": 11125, \"source\": 0, \"target\": 6}, {\"weight\": 13158, \"source\": 0, \"target\": 8}, {\"weight\": 2193, \"source\": 0, \"target\": 7}, {\"weight\": 11137, \"source\": 0, \"target\": 3}, {\"weight\": 15790, \"source\": 0, \"target\": 2}, {\"weight\": 9048, \"source\": 1, \"target\": 4}, {\"weight\": 2381, \"source\": 1, \"target\": 5}, {\"weight\": 1425, \"source\": 1, \"target\": 6}, {\"weight\": 14763, \"source\": 1, \"target\": 8}, {\"weight\": 9524, \"source\": 1, \"target\": 7}, {\"weight\": 1988, \"source\": 1, \"target\": 3}, {\"weight\": 8475, \"source\": 1, \"target\": 2}, {\"weight\": 9037, \"source\": 2, \"target\": 4}, {\"weight\": 9319, \"source\": 2, \"target\": 5}, {\"weight\": 8647, \"source\": 2, \"target\": 6}, {\"weight\": 14494, \"source\": 2, \"target\": 8}, {\"weight\": 14824, \"source\": 2, \"target\": 7}, {\"weight\": 9410, \"source\": 2, \"target\": 3}, {\"weight\": 9316, \"source\": 3, \"target\": 4}, {\"weight\": 2692, \"source\": 3, \"target\": 5}, {\"weight\": 2259, \"source\": 3, \"target\": 6}, {\"weight\": 14787, \"source\": 3, \"target\": 8}, {\"weight\": 9678, \"source\": 3, \"target\": 7}, {\"weight\": 10574, \"source\": 4, \"target\": 5}, {\"weight\": 9515, \"source\": 4, \"target\": 6}, {\"weight\": 6553, \"source\": 4, \"target\": 8}, {\"weight\": 16040, \"source\": 4, \"target\": 7}, {\"weight\": 1811, \"source\": 5, \"target\": 6}, {\"weight\": 16487, \"source\": 5, \"target\": 8}, {\"weight\": 9250, \"source\": 5, \"target\": 7}, {\"weight\": 15324, \"source\": 6, \"target\": 8}, {\"weight\": 9617, \"source\": 6, \"target\": 7}, {\"weight\": 13592, \"source\": 7, \"target\": 8}]}",
"id": 2093,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZCL, ODS, PHW, OZH, SIN, BZO, VAR, ELD, BNY\n- Travel distances (in kilometers) between each pair of airports:\nZCL to SIN: 16073\nZCL to ODS: 10998\nZCL to BZO: 10778\nZCL to VAR: 11125\nZCL to BNY: 13158\nZCL to ELD: 2193\nZCL to OZH: 11137\nZCL to PHW: 15790\nODS to SIN: 9048\nODS to BZO: 2381\nODS to VAR: 1425\nODS to BNY: 14763\nODS to ELD: 9524\nODS to OZH: 1988\nODS to PHW: 8475\nPHW to SIN: 9037\nPHW to BZO: 9319\nPHW to VAR: 8647\nPHW to BNY: 14494\nPHW to ELD: 14824\nPHW to OZH: 9410\nOZH to SIN: 9316\nOZH to BZO: 2692\nOZH to VAR: 2259\nOZH to BNY: 14787\nOZH to ELD: 9678\nSIN to BZO: 10574\nSIN to VAR: 9515\nSIN to BNY: 6553\nSIN to ELD: 16040\nBZO to VAR: 1811\nBZO to BNY: 16487\nBZO to ELD: 9250\nVAR to BNY: 15324\nVAR to ELD: 9617\nELD to BNY: 13592\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BRQ, SOU, DAD, CYO, THS, MQH, WNP, FKS, YXT\n- Travel distances (in kilometers) between each pair of airports:\nBRQ to WNP: 12190\nBRQ to YXT: 9244\nBRQ to SOU: 1726\nBRQ to DAD: 11009\nBRQ to CYO: 9213\nBRQ to FKS: 11315\nBRQ to THS: 11125\nBRQ to MQH: 10379\nSOU to WNP: 11127\nSOU to YXT: 8087\nSOU to DAD: 9949\nSOU to CYO: 7977\nSOU to FKS: 10288\nSOU to THS: 10062\nSOU to MQH: 9088\nDAD to WNP: 2301\nDAD to YXT: 11870\nDAD to CYO: 15906\nDAD to FKS: 3958\nDAD to THS: 1293\nDAD to MQH: 18235\nCYO to WNP: 15974\nCYO to YXT: 5825\nCYO to FKS: 13643\nCYO to THS: 16774\nCYO to MQH: 6366\nTHS to WNP: 2856\nTHS to YXT: 12908\nTHS to FKS: 5132\nTHS to MQH: 17756\nMQH to WNP: 19798\nMQH to YXT: 11136\nMQH to FKS: 18975\nWNP to YXT: 11510\nWNP to FKS: 3588\nFKS to YXT: 9178\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50490,
"style": "rule"
}
|
{
"exact_answer": 50490,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BRQ\", \"id\": 0}, {\"name\": \"SOU\", \"id\": 1}, {\"name\": \"DAD\", \"id\": 2}, {\"name\": \"CYO\", \"id\": 3}, {\"name\": \"THS\", \"id\": 4}, {\"name\": \"MQH\", \"id\": 5}, {\"name\": \"WNP\", \"id\": 6}, {\"name\": \"FKS\", \"id\": 7}, {\"name\": \"YXT\", \"id\": 8}], \"links\": [{\"weight\": 12190, \"source\": 0, \"target\": 6}, {\"weight\": 9244, \"source\": 0, \"target\": 8}, {\"weight\": 1726, \"source\": 0, \"target\": 1}, {\"weight\": 11009, \"source\": 0, \"target\": 2}, {\"weight\": 9213, \"source\": 0, \"target\": 3}, {\"weight\": 11315, \"source\": 0, \"target\": 7}, {\"weight\": 11125, \"source\": 0, \"target\": 4}, {\"weight\": 10379, \"source\": 0, \"target\": 5}, {\"weight\": 11127, \"source\": 1, \"target\": 6}, {\"weight\": 8087, \"source\": 1, \"target\": 8}, {\"weight\": 9949, \"source\": 1, \"target\": 2}, {\"weight\": 7977, \"source\": 1, \"target\": 3}, {\"weight\": 10288, \"source\": 1, \"target\": 7}, {\"weight\": 10062, \"source\": 1, \"target\": 4}, {\"weight\": 9088, \"source\": 1, \"target\": 5}, {\"weight\": 2301, \"source\": 2, \"target\": 6}, {\"weight\": 11870, \"source\": 2, \"target\": 8}, {\"weight\": 15906, \"source\": 2, \"target\": 3}, {\"weight\": 3958, \"source\": 2, \"target\": 7}, {\"weight\": 1293, \"source\": 2, \"target\": 4}, {\"weight\": 18235, \"source\": 2, \"target\": 5}, {\"weight\": 15974, \"source\": 3, \"target\": 6}, {\"weight\": 5825, \"source\": 3, \"target\": 8}, {\"weight\": 13643, \"source\": 3, \"target\": 7}, {\"weight\": 16774, \"source\": 3, \"target\": 4}, {\"weight\": 6366, \"source\": 3, \"target\": 5}, {\"weight\": 2856, \"source\": 4, \"target\": 6}, {\"weight\": 12908, \"source\": 4, \"target\": 8}, {\"weight\": 5132, \"source\": 4, \"target\": 7}, {\"weight\": 17756, \"source\": 4, \"target\": 5}, {\"weight\": 19798, \"source\": 5, \"target\": 6}, {\"weight\": 11136, \"source\": 5, \"target\": 8}, {\"weight\": 18975, \"source\": 5, \"target\": 7}, {\"weight\": 11510, \"source\": 6, \"target\": 8}, {\"weight\": 3588, \"source\": 6, \"target\": 7}, {\"weight\": 9178, \"source\": 7, \"target\": 8}]}",
"id": 2094,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BRQ, SOU, DAD, CYO, THS, MQH, WNP, FKS, YXT\n- Travel distances (in kilometers) between each pair of airports:\nBRQ to WNP: 12190\nBRQ to YXT: 9244\nBRQ to SOU: 1726\nBRQ to DAD: 11009\nBRQ to CYO: 9213\nBRQ to FKS: 11315\nBRQ to THS: 11125\nBRQ to MQH: 10379\nSOU to WNP: 11127\nSOU to YXT: 8087\nSOU to DAD: 9949\nSOU to CYO: 7977\nSOU to FKS: 10288\nSOU to THS: 10062\nSOU to MQH: 9088\nDAD to WNP: 2301\nDAD to YXT: 11870\nDAD to CYO: 15906\nDAD to FKS: 3958\nDAD to THS: 1293\nDAD to MQH: 18235\nCYO to WNP: 15974\nCYO to YXT: 5825\nCYO to FKS: 13643\nCYO to THS: 16774\nCYO to MQH: 6366\nTHS to WNP: 2856\nTHS to YXT: 12908\nTHS to FKS: 5132\nTHS to MQH: 17756\nMQH to WNP: 19798\nMQH to YXT: 11136\nMQH to FKS: 18975\nWNP to YXT: 11510\nWNP to FKS: 3588\nFKS to YXT: 9178\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSN, NAV, LDE, YIC, KKC, BTC, DEB, LAW, DIU\n- Travel distances (in kilometers) between each pair of airports:\nHSN to YIC: 1660\nHSN to DIU: 5491\nHSN to LDE: 10051\nHSN to LAW: 12179\nHSN to KKC: 3238\nHSN to NAV: 8690\nHSN to BTC: 5453\nHSN to DEB: 10338\nNAV to YIC: 8805\nNAV to DIU: 5572\nNAV to LDE: 2988\nNAV to LAW: 10871\nNAV to KKC: 8330\nNAV to BTC: 6966\nNAV to DEB: 3922\nLDE to YIC: 10232\nLDE to DIU: 7533\nLDE to LAW: 8620\nLDE to KKC: 10219\nLDE to BTC: 8944\nLDE to DEB: 2574\nYIC to DIU: 4606\nYIC to LAW: 12916\nYIC to KKC: 2639\nYIC to BTC: 4537\nYIC to DEB: 10492\nKKC to DIU: 3680\nKKC to LAW: 15211\nKKC to BTC: 2980\nKKC to DEB: 10834\nBTC to DIU: 2009\nBTC to LAW: 16143\nBTC to DEB: 9853\nDEB to DIU: 8413\nDEB to LAW: 9478\nLAW to DIU: 14946\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42079,
"style": "rule"
}
|
{
"exact_answer": 42079,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HSN\", \"id\": 0}, {\"name\": \"NAV\", \"id\": 1}, {\"name\": \"LDE\", \"id\": 2}, {\"name\": \"YIC\", \"id\": 3}, {\"name\": \"KKC\", \"id\": 4}, {\"name\": \"BTC\", \"id\": 5}, {\"name\": \"DEB\", \"id\": 6}, {\"name\": \"LAW\", \"id\": 7}, {\"name\": \"DIU\", \"id\": 8}], \"links\": [{\"weight\": 1660, \"source\": 0, \"target\": 3}, {\"weight\": 5491, \"source\": 0, \"target\": 8}, {\"weight\": 10051, \"source\": 0, \"target\": 2}, {\"weight\": 12179, \"source\": 0, \"target\": 7}, {\"weight\": 3238, \"source\": 0, \"target\": 4}, {\"weight\": 8690, \"source\": 0, \"target\": 1}, {\"weight\": 5453, \"source\": 0, \"target\": 5}, {\"weight\": 10338, \"source\": 0, \"target\": 6}, {\"weight\": 8805, \"source\": 1, \"target\": 3}, {\"weight\": 5572, \"source\": 1, \"target\": 8}, {\"weight\": 2988, \"source\": 1, \"target\": 2}, {\"weight\": 10871, \"source\": 1, \"target\": 7}, {\"weight\": 8330, \"source\": 1, \"target\": 4}, {\"weight\": 6966, \"source\": 1, \"target\": 5}, {\"weight\": 3922, \"source\": 1, \"target\": 6}, {\"weight\": 10232, \"source\": 2, \"target\": 3}, {\"weight\": 7533, \"source\": 2, \"target\": 8}, {\"weight\": 8620, \"source\": 2, \"target\": 7}, {\"weight\": 10219, \"source\": 2, \"target\": 4}, {\"weight\": 8944, \"source\": 2, \"target\": 5}, {\"weight\": 2574, \"source\": 2, \"target\": 6}, {\"weight\": 4606, \"source\": 3, \"target\": 8}, {\"weight\": 12916, \"source\": 3, \"target\": 7}, {\"weight\": 2639, \"source\": 3, \"target\": 4}, {\"weight\": 4537, \"source\": 3, \"target\": 5}, {\"weight\": 10492, \"source\": 3, \"target\": 6}, {\"weight\": 3680, \"source\": 4, \"target\": 8}, {\"weight\": 15211, \"source\": 4, \"target\": 7}, {\"weight\": 2980, \"source\": 4, \"target\": 5}, {\"weight\": 10834, \"source\": 4, \"target\": 6}, {\"weight\": 2009, \"source\": 5, \"target\": 8}, {\"weight\": 16143, \"source\": 5, \"target\": 7}, {\"weight\": 9853, \"source\": 5, \"target\": 6}, {\"weight\": 8413, \"source\": 6, \"target\": 8}, {\"weight\": 9478, \"source\": 6, \"target\": 7}, {\"weight\": 14946, \"source\": 7, \"target\": 8}]}",
"id": 2095,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSN, NAV, LDE, YIC, KKC, BTC, DEB, LAW, DIU\n- Travel distances (in kilometers) between each pair of airports:\nHSN to YIC: 1660\nHSN to DIU: 5491\nHSN to LDE: 10051\nHSN to LAW: 12179\nHSN to KKC: 3238\nHSN to NAV: 8690\nHSN to BTC: 5453\nHSN to DEB: 10338\nNAV to YIC: 8805\nNAV to DIU: 5572\nNAV to LDE: 2988\nNAV to LAW: 10871\nNAV to KKC: 8330\nNAV to BTC: 6966\nNAV to DEB: 3922\nLDE to YIC: 10232\nLDE to DIU: 7533\nLDE to LAW: 8620\nLDE to KKC: 10219\nLDE to BTC: 8944\nLDE to DEB: 2574\nYIC to DIU: 4606\nYIC to LAW: 12916\nYIC to KKC: 2639\nYIC to BTC: 4537\nYIC to DEB: 10492\nKKC to DIU: 3680\nKKC to LAW: 15211\nKKC to BTC: 2980\nKKC to DEB: 10834\nBTC to DIU: 2009\nBTC to LAW: 16143\nBTC to DEB: 9853\nDEB to DIU: 8413\nDEB to LAW: 9478\nLAW to DIU: 14946\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TLM, HDF, CAP, LPY, QRO, AGA, BIS, NTG, LPA\n- Travel distances (in kilometers) between each pair of airports:\nTLM to LPA: 2468\nTLM to NTG: 10530\nTLM to HDF: 2429\nTLM to QRO: 10371\nTLM to AGA: 1888\nTLM to BIS: 8878\nTLM to CAP: 8278\nTLM to LPY: 1974\nHDF to LPA: 3755\nHDF to NTG: 9286\nHDF to QRO: 9951\nHDF to AGA: 3229\nHDF to BIS: 8057\nHDF to CAP: 8498\nHDF to LPY: 1809\nCAP to LPA: 7110\nCAP to NTG: 14277\nCAP to QRO: 3311\nCAP to AGA: 7748\nCAP to BIS: 4057\nCAP to LPY: 7898\nLPY to LPA: 3186\nLPY to NTG: 9621\nLPY to QRO: 9641\nLPY to AGA: 2693\nLPY to BIS: 7846\nQRO to LPA: 9090\nQRO to NTG: 13090\nQRO to AGA: 9602\nQRO to BIS: 3130\nAGA to LPA: 638\nAGA to NTG: 11380\nAGA to BIS: 8197\nBIS to LPA: 7749\nBIS to NTG: 11708\nNTG to LPA: 11942\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 40854,
"style": "rule"
}
|
{
"exact_answer": 40854,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TLM\", \"id\": 0}, {\"name\": \"HDF\", \"id\": 1}, {\"name\": \"CAP\", \"id\": 2}, {\"name\": \"LPY\", \"id\": 3}, {\"name\": \"QRO\", \"id\": 4}, {\"name\": \"AGA\", \"id\": 5}, {\"name\": \"BIS\", \"id\": 6}, {\"name\": \"NTG\", \"id\": 7}, {\"name\": \"LPA\", \"id\": 8}], \"links\": [{\"weight\": 2468, \"source\": 0, \"target\": 8}, {\"weight\": 10530, \"source\": 0, \"target\": 7}, {\"weight\": 2429, \"source\": 0, \"target\": 1}, {\"weight\": 10371, \"source\": 0, \"target\": 4}, {\"weight\": 1888, \"source\": 0, \"target\": 5}, {\"weight\": 8878, \"source\": 0, \"target\": 6}, {\"weight\": 8278, \"source\": 0, \"target\": 2}, {\"weight\": 1974, \"source\": 0, \"target\": 3}, {\"weight\": 3755, \"source\": 1, \"target\": 8}, {\"weight\": 9286, \"source\": 1, \"target\": 7}, {\"weight\": 9951, \"source\": 1, \"target\": 4}, {\"weight\": 3229, \"source\": 1, \"target\": 5}, {\"weight\": 8057, \"source\": 1, \"target\": 6}, {\"weight\": 8498, \"source\": 1, \"target\": 2}, {\"weight\": 1809, \"source\": 1, \"target\": 3}, {\"weight\": 7110, \"source\": 2, \"target\": 8}, {\"weight\": 14277, \"source\": 2, \"target\": 7}, {\"weight\": 3311, \"source\": 2, \"target\": 4}, {\"weight\": 7748, \"source\": 2, \"target\": 5}, {\"weight\": 4057, \"source\": 2, \"target\": 6}, {\"weight\": 7898, \"source\": 2, \"target\": 3}, {\"weight\": 3186, \"source\": 3, \"target\": 8}, {\"weight\": 9621, \"source\": 3, \"target\": 7}, {\"weight\": 9641, \"source\": 3, \"target\": 4}, {\"weight\": 2693, \"source\": 3, \"target\": 5}, {\"weight\": 7846, \"source\": 3, \"target\": 6}, {\"weight\": 9090, \"source\": 4, \"target\": 8}, {\"weight\": 13090, \"source\": 4, \"target\": 7}, {\"weight\": 9602, \"source\": 4, \"target\": 5}, {\"weight\": 3130, \"source\": 4, \"target\": 6}, {\"weight\": 638, \"source\": 5, \"target\": 8}, {\"weight\": 11380, \"source\": 5, \"target\": 7}, {\"weight\": 8197, \"source\": 5, \"target\": 6}, {\"weight\": 7749, \"source\": 6, \"target\": 8}, {\"weight\": 11708, \"source\": 6, \"target\": 7}, {\"weight\": 11942, \"source\": 7, \"target\": 8}]}",
"id": 2096,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TLM, HDF, CAP, LPY, QRO, AGA, BIS, NTG, LPA\n- Travel distances (in kilometers) between each pair of airports:\nTLM to LPA: 2468\nTLM to NTG: 10530\nTLM to HDF: 2429\nTLM to QRO: 10371\nTLM to AGA: 1888\nTLM to BIS: 8878\nTLM to CAP: 8278\nTLM to LPY: 1974\nHDF to LPA: 3755\nHDF to NTG: 9286\nHDF to QRO: 9951\nHDF to AGA: 3229\nHDF to BIS: 8057\nHDF to CAP: 8498\nHDF to LPY: 1809\nCAP to LPA: 7110\nCAP to NTG: 14277\nCAP to QRO: 3311\nCAP to AGA: 7748\nCAP to BIS: 4057\nCAP to LPY: 7898\nLPY to LPA: 3186\nLPY to NTG: 9621\nLPY to QRO: 9641\nLPY to AGA: 2693\nLPY to BIS: 7846\nQRO to LPA: 9090\nQRO to NTG: 13090\nQRO to AGA: 9602\nQRO to BIS: 3130\nAGA to LPA: 638\nAGA to NTG: 11380\nAGA to BIS: 8197\nBIS to LPA: 7749\nBIS to NTG: 11708\nNTG to LPA: 11942\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RAJ, TNC, VNX, YGV, CVM, TIU, TFN, SGC, FMN\n- Travel distances (in kilometers) between each pair of airports:\nRAJ to SGC: 5443\nRAJ to TNC: 17236\nRAJ to CVM: 16682\nRAJ to TFN: 9417\nRAJ to FMN: 15150\nRAJ to TIU: 13294\nRAJ to YGV: 12766\nRAJ to VNX: 8232\nTNC to SGC: 14579\nTNC to CVM: 7619\nTNC to TFN: 12311\nTNC to FMN: 5356\nTNC to TIU: 13511\nTNC to YGV: 7549\nTNC to VNX: 20402\nVNX to SGC: 11068\nVNX to CVM: 16197\nVNX to TFN: 9007\nVNX to FMN: 16755\nVNX to TIU: 14543\nVNX to YGV: 15024\nYGV to SGC: 9778\nYGV to CVM: 5141\nYGV to TFN: 6848\nYGV to FMN: 4007\nYGV to TIU: 16334\nCVM to SGC: 13305\nCVM to TFN: 9622\nCVM to FMN: 3015\nCVM to TIU: 14380\nTIU to SGC: 15214\nTIU to TFN: 19971\nTIU to FMN: 12525\nTFN to SGC: 7323\nTFN to FMN: 8728\nSGC to FMN: 11606\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69412,
"style": "rule"
}
|
{
"exact_answer": 69412,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RAJ\", \"id\": 0}, {\"name\": \"TNC\", \"id\": 1}, {\"name\": \"VNX\", \"id\": 2}, {\"name\": \"YGV\", \"id\": 3}, {\"name\": \"CVM\", \"id\": 4}, {\"name\": \"TIU\", \"id\": 5}, {\"name\": \"TFN\", \"id\": 6}, {\"name\": \"SGC\", \"id\": 7}, {\"name\": \"FMN\", \"id\": 8}], \"links\": [{\"weight\": 5443, \"source\": 0, \"target\": 7}, {\"weight\": 17236, \"source\": 0, \"target\": 1}, {\"weight\": 16682, \"source\": 0, \"target\": 4}, {\"weight\": 9417, \"source\": 0, \"target\": 6}, {\"weight\": 15150, \"source\": 0, \"target\": 8}, {\"weight\": 13294, \"source\": 0, \"target\": 5}, {\"weight\": 12766, \"source\": 0, \"target\": 3}, {\"weight\": 8232, \"source\": 0, \"target\": 2}, {\"weight\": 14579, \"source\": 1, \"target\": 7}, {\"weight\": 7619, \"source\": 1, \"target\": 4}, {\"weight\": 12311, \"source\": 1, \"target\": 6}, {\"weight\": 5356, \"source\": 1, \"target\": 8}, {\"weight\": 13511, \"source\": 1, \"target\": 5}, {\"weight\": 7549, \"source\": 1, \"target\": 3}, {\"weight\": 20402, \"source\": 1, \"target\": 2}, {\"weight\": 11068, \"source\": 2, \"target\": 7}, {\"weight\": 16197, \"source\": 2, \"target\": 4}, {\"weight\": 9007, \"source\": 2, \"target\": 6}, {\"weight\": 16755, \"source\": 2, \"target\": 8}, {\"weight\": 14543, \"source\": 2, \"target\": 5}, {\"weight\": 15024, \"source\": 2, \"target\": 3}, {\"weight\": 9778, \"source\": 3, \"target\": 7}, {\"weight\": 5141, \"source\": 3, \"target\": 4}, {\"weight\": 6848, \"source\": 3, \"target\": 6}, {\"weight\": 4007, \"source\": 3, \"target\": 8}, {\"weight\": 16334, \"source\": 3, \"target\": 5}, {\"weight\": 13305, \"source\": 4, \"target\": 7}, {\"weight\": 9622, \"source\": 4, \"target\": 6}, {\"weight\": 3015, \"source\": 4, \"target\": 8}, {\"weight\": 14380, \"source\": 4, \"target\": 5}, {\"weight\": 15214, \"source\": 5, \"target\": 7}, {\"weight\": 19971, \"source\": 5, \"target\": 6}, {\"weight\": 12525, \"source\": 5, \"target\": 8}, {\"weight\": 7323, \"source\": 6, \"target\": 7}, {\"weight\": 8728, \"source\": 6, \"target\": 8}, {\"weight\": 11606, \"source\": 7, \"target\": 8}]}",
"id": 2097,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RAJ, TNC, VNX, YGV, CVM, TIU, TFN, SGC, FMN\n- Travel distances (in kilometers) between each pair of airports:\nRAJ to SGC: 5443\nRAJ to TNC: 17236\nRAJ to CVM: 16682\nRAJ to TFN: 9417\nRAJ to FMN: 15150\nRAJ to TIU: 13294\nRAJ to YGV: 12766\nRAJ to VNX: 8232\nTNC to SGC: 14579\nTNC to CVM: 7619\nTNC to TFN: 12311\nTNC to FMN: 5356\nTNC to TIU: 13511\nTNC to YGV: 7549\nTNC to VNX: 20402\nVNX to SGC: 11068\nVNX to CVM: 16197\nVNX to TFN: 9007\nVNX to FMN: 16755\nVNX to TIU: 14543\nVNX to YGV: 15024\nYGV to SGC: 9778\nYGV to CVM: 5141\nYGV to TFN: 6848\nYGV to FMN: 4007\nYGV to TIU: 16334\nCVM to SGC: 13305\nCVM to TFN: 9622\nCVM to FMN: 3015\nCVM to TIU: 14380\nTIU to SGC: 15214\nTIU to TFN: 19971\nTIU to FMN: 12525\nTFN to SGC: 7323\nTFN to FMN: 8728\nSGC to FMN: 11606\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MFE, OER, UTP, GET, RNS, BON, GFN, INU\n- Travel distances (in kilometers) between each pair of airports:\nMUC to OER: 1738\nMUC to BON: 8397\nMUC to RNS: 1012\nMUC to MFE: 9206\nMUC to GET: 13974\nMUC to INU: 15921\nMUC to UTP: 9626\nMUC to GFN: 16814\nMFE to OER: 9275\nMFE to BON: 3931\nMFE to RNS: 8505\nMFE to GET: 17834\nMFE to INU: 11027\nMFE to UTP: 16092\nMFE to GFN: 14886\nOER to BON: 9365\nOER to RNS: 2290\nOER to GET: 14324\nOER to INU: 15265\nOER to UTP: 9544\nOER to GFN: 16522\nUTP to BON: 17826\nUTP to RNS: 10604\nUTP to GET: 5649\nUTP to INU: 9775\nUTP to GFN: 8165\nGET to BON: 20244\nGET to RNS: 14976\nGET to INU: 7303\nGET to GFN: 4147\nRNS to BON: 8047\nRNS to INU: 16670\nRNS to GFN: 17781\nBON to INU: 14336\nBON to GFN: 17099\nGFN to INU: 4580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49675,
"style": "rule"
}
|
{
"exact_answer": 49675,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MUC\", \"id\": 0}, {\"name\": \"MFE\", \"id\": 1}, {\"name\": \"OER\", \"id\": 2}, {\"name\": \"UTP\", \"id\": 3}, {\"name\": \"GET\", \"id\": 4}, {\"name\": \"RNS\", \"id\": 5}, {\"name\": \"BON\", \"id\": 6}, {\"name\": \"GFN\", \"id\": 7}, {\"name\": \"INU\", \"id\": 8}], \"links\": [{\"weight\": 1738, \"source\": 0, \"target\": 2}, {\"weight\": 8397, \"source\": 0, \"target\": 6}, {\"weight\": 1012, \"source\": 0, \"target\": 5}, {\"weight\": 9206, \"source\": 0, \"target\": 1}, {\"weight\": 13974, \"source\": 0, \"target\": 4}, {\"weight\": 15921, \"source\": 0, \"target\": 8}, {\"weight\": 9626, \"source\": 0, \"target\": 3}, {\"weight\": 16814, \"source\": 0, \"target\": 7}, {\"weight\": 9275, \"source\": 1, \"target\": 2}, {\"weight\": 3931, \"source\": 1, \"target\": 6}, {\"weight\": 8505, \"source\": 1, \"target\": 5}, {\"weight\": 17834, \"source\": 1, \"target\": 4}, {\"weight\": 11027, \"source\": 1, \"target\": 8}, {\"weight\": 16092, \"source\": 1, \"target\": 3}, {\"weight\": 14886, \"source\": 1, \"target\": 7}, {\"weight\": 9365, \"source\": 2, \"target\": 6}, {\"weight\": 2290, \"source\": 2, \"target\": 5}, {\"weight\": 14324, \"source\": 2, \"target\": 4}, {\"weight\": 15265, \"source\": 2, \"target\": 8}, {\"weight\": 9544, \"source\": 2, \"target\": 3}, {\"weight\": 16522, \"source\": 2, \"target\": 7}, {\"weight\": 17826, \"source\": 3, \"target\": 6}, {\"weight\": 10604, \"source\": 3, \"target\": 5}, {\"weight\": 5649, \"source\": 3, \"target\": 4}, {\"weight\": 9775, \"source\": 3, \"target\": 8}, {\"weight\": 8165, \"source\": 3, \"target\": 7}, {\"weight\": 20244, \"source\": 4, \"target\": 6}, {\"weight\": 14976, \"source\": 4, \"target\": 5}, {\"weight\": 7303, \"source\": 4, \"target\": 8}, {\"weight\": 4147, \"source\": 4, \"target\": 7}, {\"weight\": 8047, \"source\": 5, \"target\": 6}, {\"weight\": 16670, \"source\": 5, \"target\": 8}, {\"weight\": 17781, \"source\": 5, \"target\": 7}, {\"weight\": 14336, \"source\": 6, \"target\": 8}, {\"weight\": 17099, \"source\": 6, \"target\": 7}, {\"weight\": 4580, \"source\": 7, \"target\": 8}]}",
"id": 2098,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MFE, OER, UTP, GET, RNS, BON, GFN, INU\n- Travel distances (in kilometers) between each pair of airports:\nMUC to OER: 1738\nMUC to BON: 8397\nMUC to RNS: 1012\nMUC to MFE: 9206\nMUC to GET: 13974\nMUC to INU: 15921\nMUC to UTP: 9626\nMUC to GFN: 16814\nMFE to OER: 9275\nMFE to BON: 3931\nMFE to RNS: 8505\nMFE to GET: 17834\nMFE to INU: 11027\nMFE to UTP: 16092\nMFE to GFN: 14886\nOER to BON: 9365\nOER to RNS: 2290\nOER to GET: 14324\nOER to INU: 15265\nOER to UTP: 9544\nOER to GFN: 16522\nUTP to BON: 17826\nUTP to RNS: 10604\nUTP to GET: 5649\nUTP to INU: 9775\nUTP to GFN: 8165\nGET to BON: 20244\nGET to RNS: 14976\nGET to INU: 7303\nGET to GFN: 4147\nRNS to BON: 8047\nRNS to INU: 16670\nRNS to GFN: 17781\nBON to INU: 14336\nBON to GFN: 17099\nGFN to INU: 4580\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CBS, PLM, YIC, IQN, SDU, MKL, SRE, ORB\n- Travel distances (in kilometers) between each pair of airports:\nAGB to YIC: 10549\nAGB to SDU: 9660\nAGB to PLM: 11748\nAGB to IQN: 9084\nAGB to ORB: 2859\nAGB to MKL: 8460\nAGB to SRE: 10693\nAGB to CBS: 8949\nCBS to YIC: 16238\nCBS to SDU: 5210\nCBS to PLM: 19256\nCBS to IQN: 15975\nCBS to ORB: 9539\nCBS to MKL: 4144\nCBS to SRE: 4359\nPLM to YIC: 3649\nPLM to SDU: 16918\nPLM to IQN: 4376\nPLM to ORB: 10916\nPLM to MKL: 16398\nPLM to SRE: 18696\nYIC to SDU: 18493\nYIC to IQN: 2161\nYIC to ORB: 8958\nYIC to MKL: 12810\nYIC to SRE: 19165\nIQN to SDU: 17286\nIQN to ORB: 7740\nIQN to MKL: 12547\nIQN to SRE: 18319\nSDU to ORB: 10722\nSDU to MKL: 8209\nSDU to SRE: 2464\nMKL to ORB: 7903\nMKL to SRE: 6793\nSRE to ORB: 11863\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52061,
"style": "rule"
}
|
{
"exact_answer": 52061,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AGB\", \"id\": 0}, {\"name\": \"CBS\", \"id\": 1}, {\"name\": \"PLM\", \"id\": 2}, {\"name\": \"YIC\", \"id\": 3}, {\"name\": \"IQN\", \"id\": 4}, {\"name\": \"SDU\", \"id\": 5}, {\"name\": \"MKL\", \"id\": 6}, {\"name\": \"SRE\", \"id\": 7}, {\"name\": \"ORB\", \"id\": 8}], \"links\": [{\"weight\": 10549, \"source\": 0, \"target\": 3}, {\"weight\": 9660, \"source\": 0, \"target\": 5}, {\"weight\": 11748, \"source\": 0, \"target\": 2}, {\"weight\": 9084, \"source\": 0, \"target\": 4}, {\"weight\": 2859, \"source\": 0, \"target\": 8}, {\"weight\": 8460, \"source\": 0, \"target\": 6}, {\"weight\": 10693, \"source\": 0, \"target\": 7}, {\"weight\": 8949, \"source\": 0, \"target\": 1}, {\"weight\": 16238, \"source\": 1, \"target\": 3}, {\"weight\": 5210, \"source\": 1, \"target\": 5}, {\"weight\": 19256, \"source\": 1, \"target\": 2}, {\"weight\": 15975, \"source\": 1, \"target\": 4}, {\"weight\": 9539, \"source\": 1, \"target\": 8}, {\"weight\": 4144, \"source\": 1, \"target\": 6}, {\"weight\": 4359, \"source\": 1, \"target\": 7}, {\"weight\": 3649, \"source\": 2, \"target\": 3}, {\"weight\": 16918, \"source\": 2, \"target\": 5}, {\"weight\": 4376, \"source\": 2, \"target\": 4}, {\"weight\": 10916, \"source\": 2, \"target\": 8}, {\"weight\": 16398, \"source\": 2, \"target\": 6}, {\"weight\": 18696, \"source\": 2, \"target\": 7}, {\"weight\": 18493, \"source\": 3, \"target\": 5}, {\"weight\": 2161, \"source\": 3, \"target\": 4}, {\"weight\": 8958, \"source\": 3, \"target\": 8}, {\"weight\": 12810, \"source\": 3, \"target\": 6}, {\"weight\": 19165, \"source\": 3, \"target\": 7}, {\"weight\": 17286, \"source\": 4, \"target\": 5}, {\"weight\": 7740, \"source\": 4, \"target\": 8}, {\"weight\": 12547, \"source\": 4, \"target\": 6}, {\"weight\": 18319, \"source\": 4, \"target\": 7}, {\"weight\": 10722, \"source\": 5, \"target\": 8}, {\"weight\": 8209, \"source\": 5, \"target\": 6}, {\"weight\": 2464, \"source\": 5, \"target\": 7}, {\"weight\": 7903, \"source\": 6, \"target\": 8}, {\"weight\": 6793, \"source\": 6, \"target\": 7}, {\"weight\": 11863, \"source\": 7, \"target\": 8}]}",
"id": 2099,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CBS, PLM, YIC, IQN, SDU, MKL, SRE, ORB\n- Travel distances (in kilometers) between each pair of airports:\nAGB to YIC: 10549\nAGB to SDU: 9660\nAGB to PLM: 11748\nAGB to IQN: 9084\nAGB to ORB: 2859\nAGB to MKL: 8460\nAGB to SRE: 10693\nAGB to CBS: 8949\nCBS to YIC: 16238\nCBS to SDU: 5210\nCBS to PLM: 19256\nCBS to IQN: 15975\nCBS to ORB: 9539\nCBS to MKL: 4144\nCBS to SRE: 4359\nPLM to YIC: 3649\nPLM to SDU: 16918\nPLM to IQN: 4376\nPLM to ORB: 10916\nPLM to MKL: 16398\nPLM to SRE: 18696\nYIC to SDU: 18493\nYIC to IQN: 2161\nYIC to ORB: 8958\nYIC to MKL: 12810\nYIC to SRE: 19165\nIQN to SDU: 17286\nIQN to ORB: 7740\nIQN to MKL: 12547\nIQN to SRE: 18319\nSDU to ORB: 10722\nSDU to MKL: 8209\nSDU to SRE: 2464\nMKL to ORB: 7903\nMKL to SRE: 6793\nSRE to ORB: 11863\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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