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: JAX, PDX, SCZ, YGX, JHW, EUN, LAU, KMQ, LAP\n- Travel distances (in kilometers) between each pair of airports:\nJAX to LAP: 3024\nJAX to LAU: 14160\nJAX to PDX: 3916\nJAX to EUN: 7230\nJAX to KMQ: 11800\nJAX to SCZ: 15087\nJAX to YGX: 3261\nJAX to JHW: 1452\nPDX to LAP: 3015\nPDX to LAU: 15256\nPDX to EUN: 9648\nPDX to KMQ: 8106\nPDX to SCZ: 12032\nPDX to YGX: 2808\nPDX to JHW: 3516\nSCZ to LAP: 13409\nSCZ to LAU: 15390\nSCZ to EUN: 19250\nSCZ to KMQ: 7493\nSCZ to YGX: 14796\nSCZ to JHW: 15155\nYGX to LAP: 4354\nYGX to LAU: 15122\nYGX to EUN: 8512\nYGX to KMQ: 10236\nYGX to JHW: 2599\nJHW to LAP: 3698\nJHW to LAU: 13604\nJHW to EUN: 6737\nJHW to KMQ: 11019\nEUN to LAP: 9883\nEUN to LAU: 8118\nEUN to KMQ: 12582\nLAU to LAP: 16562\nLAU to KMQ: 11497\nKMQ to LAP: 10458\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57482,
"style": "rule"
}
|
{
"exact_answer": 57482,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAX\", \"id\": 0}, {\"name\": \"PDX\", \"id\": 1}, {\"name\": \"SCZ\", \"id\": 2}, {\"name\": \"YGX\", \"id\": 3}, {\"name\": \"JHW\", \"id\": 4}, {\"name\": \"EUN\", \"id\": 5}, {\"name\": \"LAU\", \"id\": 6}, {\"name\": \"KMQ\", \"id\": 7}, {\"name\": \"LAP\", \"id\": 8}], \"links\": [{\"weight\": 3024, \"source\": 0, \"target\": 8}, {\"weight\": 14160, \"source\": 0, \"target\": 6}, {\"weight\": 3916, \"source\": 0, \"target\": 1}, {\"weight\": 7230, \"source\": 0, \"target\": 5}, {\"weight\": 11800, \"source\": 0, \"target\": 7}, {\"weight\": 15087, \"source\": 0, \"target\": 2}, {\"weight\": 3261, \"source\": 0, \"target\": 3}, {\"weight\": 1452, \"source\": 0, \"target\": 4}, {\"weight\": 3015, \"source\": 1, \"target\": 8}, {\"weight\": 15256, \"source\": 1, \"target\": 6}, {\"weight\": 9648, \"source\": 1, \"target\": 5}, {\"weight\": 8106, \"source\": 1, \"target\": 7}, {\"weight\": 12032, \"source\": 1, \"target\": 2}, {\"weight\": 2808, \"source\": 1, \"target\": 3}, {\"weight\": 3516, \"source\": 1, \"target\": 4}, {\"weight\": 13409, \"source\": 2, \"target\": 8}, {\"weight\": 15390, \"source\": 2, \"target\": 6}, {\"weight\": 19250, \"source\": 2, \"target\": 5}, {\"weight\": 7493, \"source\": 2, \"target\": 7}, {\"weight\": 14796, \"source\": 2, \"target\": 3}, {\"weight\": 15155, \"source\": 2, \"target\": 4}, {\"weight\": 4354, \"source\": 3, \"target\": 8}, {\"weight\": 15122, \"source\": 3, \"target\": 6}, {\"weight\": 8512, \"source\": 3, \"target\": 5}, {\"weight\": 10236, \"source\": 3, \"target\": 7}, {\"weight\": 2599, \"source\": 3, \"target\": 4}, {\"weight\": 3698, \"source\": 4, \"target\": 8}, {\"weight\": 13604, \"source\": 4, \"target\": 6}, {\"weight\": 6737, \"source\": 4, \"target\": 5}, {\"weight\": 11019, \"source\": 4, \"target\": 7}, {\"weight\": 9883, \"source\": 5, \"target\": 8}, {\"weight\": 8118, \"source\": 5, \"target\": 6}, {\"weight\": 12582, \"source\": 5, \"target\": 7}, {\"weight\": 16562, \"source\": 6, \"target\": 8}, {\"weight\": 11497, \"source\": 6, \"target\": 7}, {\"weight\": 10458, \"source\": 7, \"target\": 8}]}",
"id": 400,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAX, PDX, SCZ, YGX, JHW, EUN, LAU, KMQ, LAP\n- Travel distances (in kilometers) between each pair of airports:\nJAX to LAP: 3024\nJAX to LAU: 14160\nJAX to PDX: 3916\nJAX to EUN: 7230\nJAX to KMQ: 11800\nJAX to SCZ: 15087\nJAX to YGX: 3261\nJAX to JHW: 1452\nPDX to LAP: 3015\nPDX to LAU: 15256\nPDX to EUN: 9648\nPDX to KMQ: 8106\nPDX to SCZ: 12032\nPDX to YGX: 2808\nPDX to JHW: 3516\nSCZ to LAP: 13409\nSCZ to LAU: 15390\nSCZ to EUN: 19250\nSCZ to KMQ: 7493\nSCZ to YGX: 14796\nSCZ to JHW: 15155\nYGX to LAP: 4354\nYGX to LAU: 15122\nYGX to EUN: 8512\nYGX to KMQ: 10236\nYGX to JHW: 2599\nJHW to LAP: 3698\nJHW to LAU: 13604\nJHW to EUN: 6737\nJHW to KMQ: 11019\nEUN to LAP: 9883\nEUN to LAU: 8118\nEUN to KMQ: 12582\nLAU to LAP: 16562\nLAU to KMQ: 11497\nKMQ to LAP: 10458\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNZ, GTR, CMA, XBE, XCR, GDV, KYP, DOH, LKL\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to GDV: 10768\nDNZ to DOH: 3038\nDNZ to GTR: 10008\nDNZ to XCR: 4788\nDNZ to CMA: 15834\nDNZ to KYP: 7616\nDNZ to LKL: 3920\nDNZ to XBE: 10164\nGTR to GDV: 3365\nGTR to DOH: 12368\nGTR to XCR: 8256\nGTR to CMA: 15665\nGTR to KYP: 15559\nGTR to LKL: 8379\nGTR to XBE: 3189\nCMA to GDV: 13893\nCMA to DOH: 13092\nCMA to XCR: 19806\nCMA to KYP: 9004\nCMA to LKL: 17001\nCMA to XBE: 15330\nXBE to GDV: 2977\nXBE to DOH: 12488\nXBE to XCR: 8566\nXBE to KYP: 14811\nXBE to LKL: 8423\nXCR to GDV: 9563\nXCR to DOH: 7067\nXCR to KYP: 11687\nXCR to LKL: 5100\nGDV to DOH: 13125\nGDV to KYP: 13701\nGDV to LKL: 9420\nKYP to DOH: 5086\nKYP to LKL: 9323\nDOH to LKL: 5835\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54463,
"style": "rule"
}
|
{
"exact_answer": 54463,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DNZ\", \"id\": 0}, {\"name\": \"GTR\", \"id\": 1}, {\"name\": \"CMA\", \"id\": 2}, {\"name\": \"XBE\", \"id\": 3}, {\"name\": \"XCR\", \"id\": 4}, {\"name\": \"GDV\", \"id\": 5}, {\"name\": \"KYP\", \"id\": 6}, {\"name\": \"DOH\", \"id\": 7}, {\"name\": \"LKL\", \"id\": 8}], \"links\": [{\"weight\": 10768, \"source\": 0, \"target\": 5}, {\"weight\": 3038, \"source\": 0, \"target\": 7}, {\"weight\": 10008, \"source\": 0, \"target\": 1}, {\"weight\": 4788, \"source\": 0, \"target\": 4}, {\"weight\": 15834, \"source\": 0, \"target\": 2}, {\"weight\": 7616, \"source\": 0, \"target\": 6}, {\"weight\": 3920, \"source\": 0, \"target\": 8}, {\"weight\": 10164, \"source\": 0, \"target\": 3}, {\"weight\": 3365, \"source\": 1, \"target\": 5}, {\"weight\": 12368, \"source\": 1, \"target\": 7}, {\"weight\": 8256, \"source\": 1, \"target\": 4}, {\"weight\": 15665, \"source\": 1, \"target\": 2}, {\"weight\": 15559, \"source\": 1, \"target\": 6}, {\"weight\": 8379, \"source\": 1, \"target\": 8}, {\"weight\": 3189, \"source\": 1, \"target\": 3}, {\"weight\": 13893, \"source\": 2, \"target\": 5}, {\"weight\": 13092, \"source\": 2, \"target\": 7}, {\"weight\": 19806, \"source\": 2, \"target\": 4}, {\"weight\": 9004, \"source\": 2, \"target\": 6}, {\"weight\": 17001, \"source\": 2, \"target\": 8}, {\"weight\": 15330, \"source\": 2, \"target\": 3}, {\"weight\": 2977, \"source\": 3, \"target\": 5}, {\"weight\": 12488, \"source\": 3, \"target\": 7}, {\"weight\": 8566, \"source\": 3, \"target\": 4}, {\"weight\": 14811, \"source\": 3, \"target\": 6}, {\"weight\": 8423, \"source\": 3, \"target\": 8}, {\"weight\": 9563, \"source\": 4, \"target\": 5}, {\"weight\": 7067, \"source\": 4, \"target\": 7}, {\"weight\": 11687, \"source\": 4, \"target\": 6}, {\"weight\": 5100, \"source\": 4, \"target\": 8}, {\"weight\": 13125, \"source\": 5, \"target\": 7}, {\"weight\": 13701, \"source\": 5, \"target\": 6}, {\"weight\": 9420, \"source\": 5, \"target\": 8}, {\"weight\": 5086, \"source\": 6, \"target\": 7}, {\"weight\": 9323, \"source\": 6, \"target\": 8}, {\"weight\": 5835, \"source\": 7, \"target\": 8}]}",
"id": 401,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNZ, GTR, CMA, XBE, XCR, GDV, KYP, DOH, LKL\n- Travel distances (in kilometers) between each pair of airports:\nDNZ to GDV: 10768\nDNZ to DOH: 3038\nDNZ to GTR: 10008\nDNZ to XCR: 4788\nDNZ to CMA: 15834\nDNZ to KYP: 7616\nDNZ to LKL: 3920\nDNZ to XBE: 10164\nGTR to GDV: 3365\nGTR to DOH: 12368\nGTR to XCR: 8256\nGTR to CMA: 15665\nGTR to KYP: 15559\nGTR to LKL: 8379\nGTR to XBE: 3189\nCMA to GDV: 13893\nCMA to DOH: 13092\nCMA to XCR: 19806\nCMA to KYP: 9004\nCMA to LKL: 17001\nCMA to XBE: 15330\nXBE to GDV: 2977\nXBE to DOH: 12488\nXBE to XCR: 8566\nXBE to KYP: 14811\nXBE to LKL: 8423\nXCR to GDV: 9563\nXCR to DOH: 7067\nXCR to KYP: 11687\nXCR to LKL: 5100\nGDV to DOH: 13125\nGDV to KYP: 13701\nGDV to LKL: 9420\nKYP to DOH: 5086\nKYP to LKL: 9323\nDOH to LKL: 5835\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GLF, TER, PMV, YCY, KGS, PSM, ISC, BDP, MYY\n- Travel distances (in kilometers) between each pair of airports:\nGLF to KGS: 11367\nGLF to YCY: 7043\nGLF to PMV: 2425\nGLF to MYY: 17677\nGLF to PSM: 4176\nGLF to ISC: 9378\nGLF to TER: 8028\nGLF to BDP: 16608\nTER to KGS: 4696\nTER to YCY: 7244\nTER to PMV: 7157\nTER to MYY: 14180\nTER to PSM: 7652\nTER to ISC: 3114\nTER to BDP: 10302\nPMV to KGS: 9830\nPMV to YCY: 7022\nPMV to MYY: 18687\nPMV to PSM: 4699\nPMV to ISC: 7691\nPMV to BDP: 15108\nYCY to KGS: 9657\nYCY to MYY: 16685\nYCY to PSM: 6618\nYCY to ISC: 7668\nYCY to BDP: 14785\nKGS to MYY: 10166\nKGS to PSM: 11550\nKGS to ISC: 3091\nKGS to BDP: 6319\nPSM to MYY: 17893\nPSM to ISC: 9023\nPSM to BDP: 16194\nISC to MYY: 12048\nISC to BDP: 8287\nBDP to MYY: 4552\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54137,
"style": "rule"
}
|
{
"exact_answer": 54137,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GLF\", \"id\": 0}, {\"name\": \"TER\", \"id\": 1}, {\"name\": \"PMV\", \"id\": 2}, {\"name\": \"YCY\", \"id\": 3}, {\"name\": \"KGS\", \"id\": 4}, {\"name\": \"PSM\", \"id\": 5}, {\"name\": \"ISC\", \"id\": 6}, {\"name\": \"BDP\", \"id\": 7}, {\"name\": \"MYY\", \"id\": 8}], \"links\": [{\"weight\": 11367, \"source\": 0, \"target\": 4}, {\"weight\": 7043, \"source\": 0, \"target\": 3}, {\"weight\": 2425, \"source\": 0, \"target\": 2}, {\"weight\": 17677, \"source\": 0, \"target\": 8}, {\"weight\": 4176, \"source\": 0, \"target\": 5}, {\"weight\": 9378, \"source\": 0, \"target\": 6}, {\"weight\": 8028, \"source\": 0, \"target\": 1}, {\"weight\": 16608, \"source\": 0, \"target\": 7}, {\"weight\": 4696, \"source\": 1, \"target\": 4}, {\"weight\": 7244, \"source\": 1, \"target\": 3}, {\"weight\": 7157, \"source\": 1, \"target\": 2}, {\"weight\": 14180, \"source\": 1, \"target\": 8}, {\"weight\": 7652, \"source\": 1, \"target\": 5}, {\"weight\": 3114, \"source\": 1, \"target\": 6}, {\"weight\": 10302, \"source\": 1, \"target\": 7}, {\"weight\": 9830, \"source\": 2, \"target\": 4}, {\"weight\": 7022, \"source\": 2, \"target\": 3}, {\"weight\": 18687, \"source\": 2, \"target\": 8}, {\"weight\": 4699, \"source\": 2, \"target\": 5}, {\"weight\": 7691, \"source\": 2, \"target\": 6}, {\"weight\": 15108, \"source\": 2, \"target\": 7}, {\"weight\": 9657, \"source\": 3, \"target\": 4}, {\"weight\": 16685, \"source\": 3, \"target\": 8}, {\"weight\": 6618, \"source\": 3, \"target\": 5}, {\"weight\": 7668, \"source\": 3, \"target\": 6}, {\"weight\": 14785, \"source\": 3, \"target\": 7}, {\"weight\": 10166, \"source\": 4, \"target\": 8}, {\"weight\": 11550, \"source\": 4, \"target\": 5}, {\"weight\": 3091, \"source\": 4, \"target\": 6}, {\"weight\": 6319, \"source\": 4, \"target\": 7}, {\"weight\": 17893, \"source\": 5, \"target\": 8}, {\"weight\": 9023, \"source\": 5, \"target\": 6}, {\"weight\": 16194, \"source\": 5, \"target\": 7}, {\"weight\": 12048, \"source\": 6, \"target\": 8}, {\"weight\": 8287, \"source\": 6, \"target\": 7}, {\"weight\": 4552, \"source\": 7, \"target\": 8}]}",
"id": 402,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GLF, TER, PMV, YCY, KGS, PSM, ISC, BDP, MYY\n- Travel distances (in kilometers) between each pair of airports:\nGLF to KGS: 11367\nGLF to YCY: 7043\nGLF to PMV: 2425\nGLF to MYY: 17677\nGLF to PSM: 4176\nGLF to ISC: 9378\nGLF to TER: 8028\nGLF to BDP: 16608\nTER to KGS: 4696\nTER to YCY: 7244\nTER to PMV: 7157\nTER to MYY: 14180\nTER to PSM: 7652\nTER to ISC: 3114\nTER to BDP: 10302\nPMV to KGS: 9830\nPMV to YCY: 7022\nPMV to MYY: 18687\nPMV to PSM: 4699\nPMV to ISC: 7691\nPMV to BDP: 15108\nYCY to KGS: 9657\nYCY to MYY: 16685\nYCY to PSM: 6618\nYCY to ISC: 7668\nYCY to BDP: 14785\nKGS to MYY: 10166\nKGS to PSM: 11550\nKGS to ISC: 3091\nKGS to BDP: 6319\nPSM to MYY: 17893\nPSM to ISC: 9023\nPSM to BDP: 16194\nISC to MYY: 12048\nISC to BDP: 8287\nBDP to MYY: 4552\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTP, BJB, WAW, OTD, MGB, CLE, MUW, KID, LJG\n- Travel distances (in kilometers) between each pair of airports:\nPTP to LJG: 15535\nPTP to WAW: 8111\nPTP to OTD: 3314\nPTP to CLE: 3428\nPTP to MUW: 8396\nPTP to BJB: 11612\nPTP to KID: 8611\nPTP to MGB: 18397\nBJB to LJG: 6073\nBJB to WAW: 4002\nBJB to OTD: 14419\nBJB to CLE: 11126\nBJB to MUW: 5205\nBJB to KID: 5070\nBJB to MGB: 13118\nWAW to LJG: 7513\nWAW to OTD: 10900\nWAW to CLE: 7244\nWAW to MUW: 2541\nWAW to KID: 1325\nWAW to MGB: 15222\nOTD to LJG: 16772\nOTD to CLE: 4109\nOTD to MUW: 10137\nOTD to KID: 10865\nOTD to MGB: 18025\nMGB to LJG: 8592\nMGB to CLE: 16410\nMGB to MUW: 16766\nMGB to KID: 15856\nCLE to LJG: 12919\nCLE to MUW: 7413\nCLE to KID: 7094\nMUW to LJG: 9927\nMUW to KID: 3558\nKID to LJG: 8054\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55597,
"style": "rule"
}
|
{
"exact_answer": 55597,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTP\", \"id\": 0}, {\"name\": \"BJB\", \"id\": 1}, {\"name\": \"WAW\", \"id\": 2}, {\"name\": \"OTD\", \"id\": 3}, {\"name\": \"MGB\", \"id\": 4}, {\"name\": \"CLE\", \"id\": 5}, {\"name\": \"MUW\", \"id\": 6}, {\"name\": \"KID\", \"id\": 7}, {\"name\": \"LJG\", \"id\": 8}], \"links\": [{\"weight\": 15535, \"source\": 0, \"target\": 8}, {\"weight\": 8111, \"source\": 0, \"target\": 2}, {\"weight\": 3314, \"source\": 0, \"target\": 3}, {\"weight\": 3428, \"source\": 0, \"target\": 5}, {\"weight\": 8396, \"source\": 0, \"target\": 6}, {\"weight\": 11612, \"source\": 0, \"target\": 1}, {\"weight\": 8611, \"source\": 0, \"target\": 7}, {\"weight\": 18397, \"source\": 0, \"target\": 4}, {\"weight\": 6073, \"source\": 1, \"target\": 8}, {\"weight\": 4002, \"source\": 1, \"target\": 2}, {\"weight\": 14419, \"source\": 1, \"target\": 3}, {\"weight\": 11126, \"source\": 1, \"target\": 5}, {\"weight\": 5205, \"source\": 1, \"target\": 6}, {\"weight\": 5070, \"source\": 1, \"target\": 7}, {\"weight\": 13118, \"source\": 1, \"target\": 4}, {\"weight\": 7513, \"source\": 2, \"target\": 8}, {\"weight\": 10900, \"source\": 2, \"target\": 3}, {\"weight\": 7244, \"source\": 2, \"target\": 5}, {\"weight\": 2541, \"source\": 2, \"target\": 6}, {\"weight\": 1325, \"source\": 2, \"target\": 7}, {\"weight\": 15222, \"source\": 2, \"target\": 4}, {\"weight\": 16772, \"source\": 3, \"target\": 8}, {\"weight\": 4109, \"source\": 3, \"target\": 5}, {\"weight\": 10137, \"source\": 3, \"target\": 6}, {\"weight\": 10865, \"source\": 3, \"target\": 7}, {\"weight\": 18025, \"source\": 3, \"target\": 4}, {\"weight\": 8592, \"source\": 4, \"target\": 8}, {\"weight\": 16410, \"source\": 4, \"target\": 5}, {\"weight\": 16766, \"source\": 4, \"target\": 6}, {\"weight\": 15856, \"source\": 4, \"target\": 7}, {\"weight\": 12919, \"source\": 5, \"target\": 8}, {\"weight\": 7413, \"source\": 5, \"target\": 6}, {\"weight\": 7094, \"source\": 5, \"target\": 7}, {\"weight\": 9927, \"source\": 6, \"target\": 8}, {\"weight\": 3558, \"source\": 6, \"target\": 7}, {\"weight\": 8054, \"source\": 7, \"target\": 8}]}",
"id": 403,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTP, BJB, WAW, OTD, MGB, CLE, MUW, KID, LJG\n- Travel distances (in kilometers) between each pair of airports:\nPTP to LJG: 15535\nPTP to WAW: 8111\nPTP to OTD: 3314\nPTP to CLE: 3428\nPTP to MUW: 8396\nPTP to BJB: 11612\nPTP to KID: 8611\nPTP to MGB: 18397\nBJB to LJG: 6073\nBJB to WAW: 4002\nBJB to OTD: 14419\nBJB to CLE: 11126\nBJB to MUW: 5205\nBJB to KID: 5070\nBJB to MGB: 13118\nWAW to LJG: 7513\nWAW to OTD: 10900\nWAW to CLE: 7244\nWAW to MUW: 2541\nWAW to KID: 1325\nWAW to MGB: 15222\nOTD to LJG: 16772\nOTD to CLE: 4109\nOTD to MUW: 10137\nOTD to KID: 10865\nOTD to MGB: 18025\nMGB to LJG: 8592\nMGB to CLE: 16410\nMGB to MUW: 16766\nMGB to KID: 15856\nCLE to LJG: 12919\nCLE to MUW: 7413\nCLE to KID: 7094\nMUW to LJG: 9927\nMUW to KID: 3558\nKID to LJG: 8054\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NIQ, UFA, TOG, YLC, LIR, CTS, MFE, KBV, DAR\n- Travel distances (in kilometers) between each pair of airports:\nNIQ to UFA: 6599\nNIQ to LIR: 9899\nNIQ to YLC: 8699\nNIQ to TOG: 11220\nNIQ to CTS: 12403\nNIQ to MFE: 8958\nNIQ to KBV: 13218\nNIQ to DAR: 11327\nUFA to LIR: 12060\nUFA to YLC: 10000\nUFA to TOG: 13381\nUFA to CTS: 6346\nUFA to MFE: 11119\nUFA to KBV: 6744\nUFA to DAR: 7136\nTOG to LIR: 8489\nTOG to YLC: 7536\nTOG to CTS: 11366\nTOG to MFE: 6513\nTOG to KBV: 15834\nTOG to DAR: 18370\nYLC to LIR: 6203\nYLC to CTS: 12424\nYLC to MFE: 5149\nYLC to KBV: 16542\nYLC to DAR: 13824\nLIR to CTS: 13759\nLIR to MFE: 2508\nLIR to KBV: 17904\nLIR to DAR: 15527\nCTS to MFE: 11623\nCTS to KBV: 5675\nCTS to DAR: 11795\nMFE to KBV: 15929\nMFE to DAR: 15244\nKBV to DAR: 8540\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63239,
"style": "rule"
}
|
{
"exact_answer": 63239,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NIQ\", \"id\": 0}, {\"name\": \"UFA\", \"id\": 1}, {\"name\": \"TOG\", \"id\": 2}, {\"name\": \"YLC\", \"id\": 3}, {\"name\": \"LIR\", \"id\": 4}, {\"name\": \"CTS\", \"id\": 5}, {\"name\": \"MFE\", \"id\": 6}, {\"name\": \"KBV\", \"id\": 7}, {\"name\": \"DAR\", \"id\": 8}], \"links\": [{\"weight\": 6599, \"source\": 0, \"target\": 1}, {\"weight\": 9899, \"source\": 0, \"target\": 4}, {\"weight\": 8699, \"source\": 0, \"target\": 3}, {\"weight\": 11220, \"source\": 0, \"target\": 2}, {\"weight\": 12403, \"source\": 0, \"target\": 5}, {\"weight\": 8958, \"source\": 0, \"target\": 6}, {\"weight\": 13218, \"source\": 0, \"target\": 7}, {\"weight\": 11327, \"source\": 0, \"target\": 8}, {\"weight\": 12060, \"source\": 1, \"target\": 4}, {\"weight\": 10000, \"source\": 1, \"target\": 3}, {\"weight\": 13381, \"source\": 1, \"target\": 2}, {\"weight\": 6346, \"source\": 1, \"target\": 5}, {\"weight\": 11119, \"source\": 1, \"target\": 6}, {\"weight\": 6744, \"source\": 1, \"target\": 7}, {\"weight\": 7136, \"source\": 1, \"target\": 8}, {\"weight\": 8489, \"source\": 2, \"target\": 4}, {\"weight\": 7536, \"source\": 2, \"target\": 3}, {\"weight\": 11366, \"source\": 2, \"target\": 5}, {\"weight\": 6513, \"source\": 2, \"target\": 6}, {\"weight\": 15834, \"source\": 2, \"target\": 7}, {\"weight\": 18370, \"source\": 2, \"target\": 8}, {\"weight\": 6203, \"source\": 3, \"target\": 4}, {\"weight\": 12424, \"source\": 3, \"target\": 5}, {\"weight\": 5149, \"source\": 3, \"target\": 6}, {\"weight\": 16542, \"source\": 3, \"target\": 7}, {\"weight\": 13824, \"source\": 3, \"target\": 8}, {\"weight\": 13759, \"source\": 4, \"target\": 5}, {\"weight\": 2508, \"source\": 4, \"target\": 6}, {\"weight\": 17904, \"source\": 4, \"target\": 7}, {\"weight\": 15527, \"source\": 4, \"target\": 8}, {\"weight\": 11623, \"source\": 5, \"target\": 6}, {\"weight\": 5675, \"source\": 5, \"target\": 7}, {\"weight\": 11795, \"source\": 5, \"target\": 8}, {\"weight\": 15929, \"source\": 6, \"target\": 7}, {\"weight\": 15244, \"source\": 6, \"target\": 8}, {\"weight\": 8540, \"source\": 7, \"target\": 8}]}",
"id": 404,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NIQ, UFA, TOG, YLC, LIR, CTS, MFE, KBV, DAR\n- Travel distances (in kilometers) between each pair of airports:\nNIQ to UFA: 6599\nNIQ to LIR: 9899\nNIQ to YLC: 8699\nNIQ to TOG: 11220\nNIQ to CTS: 12403\nNIQ to MFE: 8958\nNIQ to KBV: 13218\nNIQ to DAR: 11327\nUFA to LIR: 12060\nUFA to YLC: 10000\nUFA to TOG: 13381\nUFA to CTS: 6346\nUFA to MFE: 11119\nUFA to KBV: 6744\nUFA to DAR: 7136\nTOG to LIR: 8489\nTOG to YLC: 7536\nTOG to CTS: 11366\nTOG to MFE: 6513\nTOG to KBV: 15834\nTOG to DAR: 18370\nYLC to LIR: 6203\nYLC to CTS: 12424\nYLC to MFE: 5149\nYLC to KBV: 16542\nYLC to DAR: 13824\nLIR to CTS: 13759\nLIR to MFE: 2508\nLIR to KBV: 17904\nLIR to DAR: 15527\nCTS to MFE: 11623\nCTS to KBV: 5675\nCTS to DAR: 11795\nMFE to KBV: 15929\nMFE to DAR: 15244\nKBV to DAR: 8540\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CFU, ALH, IQN, FAV, SCE, TFN, TGD, ELQ, AUK\n- Travel distances (in kilometers) between each pair of airports:\nCFU to AUK: 12805\nCFU to SCE: 7971\nCFU to TFN: 3670\nCFU to TGD: 1090\nCFU to ELQ: 2785\nCFU to IQN: 7469\nCFU to ALH: 13056\nCFU to FAV: 17845\nALH to AUK: 16830\nALH to SCE: 19163\nALH to TFN: 16432\nALH to TGD: 13234\nALH to ELQ: 10495\nALH to IQN: 8022\nALH to FAV: 10231\nIQN to AUK: 12943\nIQN to SCE: 12246\nIQN to TFN: 10900\nIQN to TGD: 7498\nIQN to ELQ: 6445\nIQN to FAV: 12948\nFAV to AUK: 10164\nFAV to SCE: 10711\nFAV to TFN: 16709\nFAV to TGD: 17562\nFAV to ELQ: 18899\nSCE to AUK: 6193\nSCE to TFN: 6180\nSCE to TGD: 7717\nSCE to ELQ: 10577\nTFN to AUK: 12105\nTFN to TGD: 3551\nTFN to ELQ: 5961\nTGD to AUK: 12526\nTGD to ELQ: 2943\nELQ to AUK: 15236\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54661,
"style": "rule"
}
|
{
"exact_answer": 54661,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CFU\", \"id\": 0}, {\"name\": \"ALH\", \"id\": 1}, {\"name\": \"IQN\", \"id\": 2}, {\"name\": \"FAV\", \"id\": 3}, {\"name\": \"SCE\", \"id\": 4}, {\"name\": \"TFN\", \"id\": 5}, {\"name\": \"TGD\", \"id\": 6}, {\"name\": \"ELQ\", \"id\": 7}, {\"name\": \"AUK\", \"id\": 8}], \"links\": [{\"weight\": 12805, \"source\": 0, \"target\": 8}, {\"weight\": 7971, \"source\": 0, \"target\": 4}, {\"weight\": 3670, \"source\": 0, \"target\": 5}, {\"weight\": 1090, \"source\": 0, \"target\": 6}, {\"weight\": 2785, \"source\": 0, \"target\": 7}, {\"weight\": 7469, \"source\": 0, \"target\": 2}, {\"weight\": 13056, \"source\": 0, \"target\": 1}, {\"weight\": 17845, \"source\": 0, \"target\": 3}, {\"weight\": 16830, \"source\": 1, \"target\": 8}, {\"weight\": 19163, \"source\": 1, \"target\": 4}, {\"weight\": 16432, \"source\": 1, \"target\": 5}, {\"weight\": 13234, \"source\": 1, \"target\": 6}, {\"weight\": 10495, \"source\": 1, \"target\": 7}, {\"weight\": 8022, \"source\": 1, \"target\": 2}, {\"weight\": 10231, \"source\": 1, \"target\": 3}, {\"weight\": 12943, \"source\": 2, \"target\": 8}, {\"weight\": 12246, \"source\": 2, \"target\": 4}, {\"weight\": 10900, \"source\": 2, \"target\": 5}, {\"weight\": 7498, \"source\": 2, \"target\": 6}, {\"weight\": 6445, \"source\": 2, \"target\": 7}, {\"weight\": 12948, \"source\": 2, \"target\": 3}, {\"weight\": 10164, \"source\": 3, \"target\": 8}, {\"weight\": 10711, \"source\": 3, \"target\": 4}, {\"weight\": 16709, \"source\": 3, \"target\": 5}, {\"weight\": 17562, \"source\": 3, \"target\": 6}, {\"weight\": 18899, \"source\": 3, \"target\": 7}, {\"weight\": 6193, \"source\": 4, \"target\": 8}, {\"weight\": 6180, \"source\": 4, \"target\": 5}, {\"weight\": 7717, \"source\": 4, \"target\": 6}, {\"weight\": 10577, \"source\": 4, \"target\": 7}, {\"weight\": 12105, \"source\": 5, \"target\": 8}, {\"weight\": 3551, \"source\": 5, \"target\": 6}, {\"weight\": 5961, \"source\": 5, \"target\": 7}, {\"weight\": 12526, \"source\": 6, \"target\": 8}, {\"weight\": 2943, \"source\": 6, \"target\": 7}, {\"weight\": 15236, \"source\": 7, \"target\": 8}]}",
"id": 405,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CFU, ALH, IQN, FAV, SCE, TFN, TGD, ELQ, AUK\n- Travel distances (in kilometers) between each pair of airports:\nCFU to AUK: 12805\nCFU to SCE: 7971\nCFU to TFN: 3670\nCFU to TGD: 1090\nCFU to ELQ: 2785\nCFU to IQN: 7469\nCFU to ALH: 13056\nCFU to FAV: 17845\nALH to AUK: 16830\nALH to SCE: 19163\nALH to TFN: 16432\nALH to TGD: 13234\nALH to ELQ: 10495\nALH to IQN: 8022\nALH to FAV: 10231\nIQN to AUK: 12943\nIQN to SCE: 12246\nIQN to TFN: 10900\nIQN to TGD: 7498\nIQN to ELQ: 6445\nIQN to FAV: 12948\nFAV to AUK: 10164\nFAV to SCE: 10711\nFAV to TFN: 16709\nFAV to TGD: 17562\nFAV to ELQ: 18899\nSCE to AUK: 6193\nSCE to TFN: 6180\nSCE to TGD: 7717\nSCE to ELQ: 10577\nTFN to AUK: 12105\nTFN to TGD: 3551\nTFN to ELQ: 5961\nTGD to AUK: 12526\nTGD to ELQ: 2943\nELQ to AUK: 15236\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEG, SOU, BKK, RNN, LPY, KWN, ZEM, JPA, SPR\n- Travel distances (in kilometers) between each pair of airports:\nCEG to BKK: 9931\nCEG to KWN: 10905\nCEG to SPR: 8538\nCEG to JPA: 7842\nCEG to SOU: 606\nCEG to RNN: 1463\nCEG to LPY: 1388\nCEG to ZEM: 6593\nSOU to BKK: 9655\nSOU to KWN: 10815\nSOU to SPR: 8441\nSOU to JPA: 7690\nSOU to RNN: 1227\nSOU to LPY: 782\nSOU to ZEM: 6534\nBKK to KWN: 15072\nBKK to SPR: 16484\nBKK to JPA: 16367\nBKK to RNN: 8782\nBKK to LPY: 9886\nBKK to ZEM: 14958\nRNN to KWN: 11177\nRNN to SPR: 9312\nRNN to JPA: 8772\nRNN to LPY: 1600\nRNN to ZEM: 7173\nLPY to KWN: 11563\nLPY to SPR: 9137\nLPY to JPA: 8010\nLPY to ZEM: 6835\nKWN to SPR: 7614\nKWN to JPA: 13253\nKWN to ZEM: 6700\nZEM to SPR: 4158\nZEM to JPA: 8458\nJPA to SPR: 6919\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52461,
"style": "rule"
}
|
{
"exact_answer": 52461,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CEG\", \"id\": 0}, {\"name\": \"SOU\", \"id\": 1}, {\"name\": \"BKK\", \"id\": 2}, {\"name\": \"RNN\", \"id\": 3}, {\"name\": \"LPY\", \"id\": 4}, {\"name\": \"KWN\", \"id\": 5}, {\"name\": \"ZEM\", \"id\": 6}, {\"name\": \"JPA\", \"id\": 7}, {\"name\": \"SPR\", \"id\": 8}], \"links\": [{\"weight\": 9931, \"source\": 0, \"target\": 2}, {\"weight\": 10905, \"source\": 0, \"target\": 5}, {\"weight\": 8538, \"source\": 0, \"target\": 8}, {\"weight\": 7842, \"source\": 0, \"target\": 7}, {\"weight\": 606, \"source\": 0, \"target\": 1}, {\"weight\": 1463, \"source\": 0, \"target\": 3}, {\"weight\": 1388, \"source\": 0, \"target\": 4}, {\"weight\": 6593, \"source\": 0, \"target\": 6}, {\"weight\": 9655, \"source\": 1, \"target\": 2}, {\"weight\": 10815, \"source\": 1, \"target\": 5}, {\"weight\": 8441, \"source\": 1, \"target\": 8}, {\"weight\": 7690, \"source\": 1, \"target\": 7}, {\"weight\": 1227, \"source\": 1, \"target\": 3}, {\"weight\": 782, \"source\": 1, \"target\": 4}, {\"weight\": 6534, \"source\": 1, \"target\": 6}, {\"weight\": 15072, \"source\": 2, \"target\": 5}, {\"weight\": 16484, \"source\": 2, \"target\": 8}, {\"weight\": 16367, \"source\": 2, \"target\": 7}, {\"weight\": 8782, \"source\": 2, \"target\": 3}, {\"weight\": 9886, \"source\": 2, \"target\": 4}, {\"weight\": 14958, \"source\": 2, \"target\": 6}, {\"weight\": 11177, \"source\": 3, \"target\": 5}, {\"weight\": 9312, \"source\": 3, \"target\": 8}, {\"weight\": 8772, \"source\": 3, \"target\": 7}, {\"weight\": 1600, \"source\": 3, \"target\": 4}, {\"weight\": 7173, \"source\": 3, \"target\": 6}, {\"weight\": 11563, \"source\": 4, \"target\": 5}, {\"weight\": 9137, \"source\": 4, \"target\": 8}, {\"weight\": 8010, \"source\": 4, \"target\": 7}, {\"weight\": 6835, \"source\": 4, \"target\": 6}, {\"weight\": 7614, \"source\": 5, \"target\": 8}, {\"weight\": 13253, \"source\": 5, \"target\": 7}, {\"weight\": 6700, \"source\": 5, \"target\": 6}, {\"weight\": 4158, \"source\": 6, \"target\": 8}, {\"weight\": 8458, \"source\": 6, \"target\": 7}, {\"weight\": 6919, \"source\": 7, \"target\": 8}]}",
"id": 406,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CEG, SOU, BKK, RNN, LPY, KWN, ZEM, JPA, SPR\n- Travel distances (in kilometers) between each pair of airports:\nCEG to BKK: 9931\nCEG to KWN: 10905\nCEG to SPR: 8538\nCEG to JPA: 7842\nCEG to SOU: 606\nCEG to RNN: 1463\nCEG to LPY: 1388\nCEG to ZEM: 6593\nSOU to BKK: 9655\nSOU to KWN: 10815\nSOU to SPR: 8441\nSOU to JPA: 7690\nSOU to RNN: 1227\nSOU to LPY: 782\nSOU to ZEM: 6534\nBKK to KWN: 15072\nBKK to SPR: 16484\nBKK to JPA: 16367\nBKK to RNN: 8782\nBKK to LPY: 9886\nBKK to ZEM: 14958\nRNN to KWN: 11177\nRNN to SPR: 9312\nRNN to JPA: 8772\nRNN to LPY: 1600\nRNN to ZEM: 7173\nLPY to KWN: 11563\nLPY to SPR: 9137\nLPY to JPA: 8010\nLPY to ZEM: 6835\nKWN to SPR: 7614\nKWN to JPA: 13253\nKWN to ZEM: 6700\nZEM to SPR: 4158\nZEM to JPA: 8458\nJPA to SPR: 6919\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAY, TID, PRH, ALO, CUU, EWB, VOG, PES, MXX\n- Travel distances (in kilometers) between each pair of airports:\nCAY to CUU: 6368\nCAY to PES: 10345\nCAY to VOG: 10227\nCAY to EWB: 4853\nCAY to ALO: 5816\nCAY to TID: 8475\nCAY to PRH: 17095\nCAY to MXX: 8895\nTID to CUU: 9885\nTID to PES: 4308\nTID to VOG: 3935\nTID to EWB: 6569\nTID to ALO: 8060\nTID to PRH: 10429\nTID to MXX: 3219\nPRH to CUU: 15128\nPRH to PES: 8451\nPRH to VOG: 6998\nPRH to EWB: 15088\nPRH to ALO: 14721\nPRH to MXX: 9211\nALO to CUU: 2636\nALO to PES: 9316\nALO to VOG: 9375\nALO to EWB: 1798\nALO to MXX: 7467\nCUU to PES: 11201\nCUU to VOG: 11261\nCUU to EWB: 3487\nCUU to MXX: 9353\nEWB to PES: 8161\nEWB to VOG: 8267\nEWB to MXX: 6408\nVOG to PES: 1608\nVOG to MXX: 2382\nPES to MXX: 2323\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47038,
"style": "rule"
}
|
{
"exact_answer": 47038,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAY\", \"id\": 0}, {\"name\": \"TID\", \"id\": 1}, {\"name\": \"PRH\", \"id\": 2}, {\"name\": \"ALO\", \"id\": 3}, {\"name\": \"CUU\", \"id\": 4}, {\"name\": \"EWB\", \"id\": 5}, {\"name\": \"VOG\", \"id\": 6}, {\"name\": \"PES\", \"id\": 7}, {\"name\": \"MXX\", \"id\": 8}], \"links\": [{\"weight\": 6368, \"source\": 0, \"target\": 4}, {\"weight\": 10345, \"source\": 0, \"target\": 7}, {\"weight\": 10227, \"source\": 0, \"target\": 6}, {\"weight\": 4853, \"source\": 0, \"target\": 5}, {\"weight\": 5816, \"source\": 0, \"target\": 3}, {\"weight\": 8475, \"source\": 0, \"target\": 1}, {\"weight\": 17095, \"source\": 0, \"target\": 2}, {\"weight\": 8895, \"source\": 0, \"target\": 8}, {\"weight\": 9885, \"source\": 1, \"target\": 4}, {\"weight\": 4308, \"source\": 1, \"target\": 7}, {\"weight\": 3935, \"source\": 1, \"target\": 6}, {\"weight\": 6569, \"source\": 1, \"target\": 5}, {\"weight\": 8060, \"source\": 1, \"target\": 3}, {\"weight\": 10429, \"source\": 1, \"target\": 2}, {\"weight\": 3219, \"source\": 1, \"target\": 8}, {\"weight\": 15128, \"source\": 2, \"target\": 4}, {\"weight\": 8451, \"source\": 2, \"target\": 7}, {\"weight\": 6998, \"source\": 2, \"target\": 6}, {\"weight\": 15088, \"source\": 2, \"target\": 5}, {\"weight\": 14721, \"source\": 2, \"target\": 3}, {\"weight\": 9211, \"source\": 2, \"target\": 8}, {\"weight\": 2636, \"source\": 3, \"target\": 4}, {\"weight\": 9316, \"source\": 3, \"target\": 7}, {\"weight\": 9375, \"source\": 3, \"target\": 6}, {\"weight\": 1798, \"source\": 3, \"target\": 5}, {\"weight\": 7467, \"source\": 3, \"target\": 8}, {\"weight\": 11201, \"source\": 4, \"target\": 7}, {\"weight\": 11261, \"source\": 4, \"target\": 6}, {\"weight\": 3487, \"source\": 4, \"target\": 5}, {\"weight\": 9353, \"source\": 4, \"target\": 8}, {\"weight\": 8161, \"source\": 5, \"target\": 7}, {\"weight\": 8267, \"source\": 5, \"target\": 6}, {\"weight\": 6408, \"source\": 5, \"target\": 8}, {\"weight\": 1608, \"source\": 6, \"target\": 7}, {\"weight\": 2382, \"source\": 6, \"target\": 8}, {\"weight\": 2323, \"source\": 7, \"target\": 8}]}",
"id": 407,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAY, TID, PRH, ALO, CUU, EWB, VOG, PES, MXX\n- Travel distances (in kilometers) between each pair of airports:\nCAY to CUU: 6368\nCAY to PES: 10345\nCAY to VOG: 10227\nCAY to EWB: 4853\nCAY to ALO: 5816\nCAY to TID: 8475\nCAY to PRH: 17095\nCAY to MXX: 8895\nTID to CUU: 9885\nTID to PES: 4308\nTID to VOG: 3935\nTID to EWB: 6569\nTID to ALO: 8060\nTID to PRH: 10429\nTID to MXX: 3219\nPRH to CUU: 15128\nPRH to PES: 8451\nPRH to VOG: 6998\nPRH to EWB: 15088\nPRH to ALO: 14721\nPRH to MXX: 9211\nALO to CUU: 2636\nALO to PES: 9316\nALO to VOG: 9375\nALO to EWB: 1798\nALO to MXX: 7467\nCUU to PES: 11201\nCUU to VOG: 11261\nCUU to EWB: 3487\nCUU to MXX: 9353\nEWB to PES: 8161\nEWB to VOG: 8267\nEWB to MXX: 6408\nVOG to PES: 1608\nVOG to MXX: 2382\nPES to MXX: 2323\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, FUK, KOP, NBC, BAV, TQA, FSM, KKH, KLG\n- Travel distances (in kilometers) between each pair of airports:\nVAA to NBC: 2018\nVAA to KKH: 11453\nVAA to FUK: 7942\nVAA to KLG: 11259\nVAA to BAV: 6832\nVAA to FSM: 8852\nVAA to KOP: 9038\nVAA to TQA: 5031\nFUK to NBC: 6356\nFUK to KKH: 11662\nFUK to KLG: 11468\nFUK to BAV: 1990\nFUK to FSM: 11623\nFUK to KOP: 4266\nFUK to TQA: 12499\nKOP to NBC: 7079\nKOP to KKH: 15610\nKOP to KLG: 15416\nKOP to BAV: 3660\nKOP to FSM: 15532\nKOP to TQA: 13481\nNBC to KKH: 12997\nNBC to KLG: 12803\nNBC to BAV: 5090\nNBC to FSM: 10396\nNBC to TQA: 6575\nBAV to KKH: 12311\nBAV to KLG: 12117\nBAV to FSM: 12238\nBAV to TQA: 11325\nTQA to KKH: 11342\nTQA to KLG: 11148\nTQA to FSM: 8741\nFSM to KKH: 6007\nFSM to KLG: 5813\nKKH to KLG: 223\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46217,
"style": "rule"
}
|
{
"exact_answer": 46217,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VAA\", \"id\": 0}, {\"name\": \"FUK\", \"id\": 1}, {\"name\": \"KOP\", \"id\": 2}, {\"name\": \"NBC\", \"id\": 3}, {\"name\": \"BAV\", \"id\": 4}, {\"name\": \"TQA\", \"id\": 5}, {\"name\": \"FSM\", \"id\": 6}, {\"name\": \"KKH\", \"id\": 7}, {\"name\": \"KLG\", \"id\": 8}], \"links\": [{\"weight\": 2018, \"source\": 0, \"target\": 3}, {\"weight\": 11453, \"source\": 0, \"target\": 7}, {\"weight\": 7942, \"source\": 0, \"target\": 1}, {\"weight\": 11259, \"source\": 0, \"target\": 8}, {\"weight\": 6832, \"source\": 0, \"target\": 4}, {\"weight\": 8852, \"source\": 0, \"target\": 6}, {\"weight\": 9038, \"source\": 0, \"target\": 2}, {\"weight\": 5031, \"source\": 0, \"target\": 5}, {\"weight\": 6356, \"source\": 1, \"target\": 3}, {\"weight\": 11662, \"source\": 1, \"target\": 7}, {\"weight\": 11468, \"source\": 1, \"target\": 8}, {\"weight\": 1990, \"source\": 1, \"target\": 4}, {\"weight\": 11623, \"source\": 1, \"target\": 6}, {\"weight\": 4266, \"source\": 1, \"target\": 2}, {\"weight\": 12499, \"source\": 1, \"target\": 5}, {\"weight\": 7079, \"source\": 2, \"target\": 3}, {\"weight\": 15610, \"source\": 2, \"target\": 7}, {\"weight\": 15416, \"source\": 2, \"target\": 8}, {\"weight\": 3660, \"source\": 2, \"target\": 4}, {\"weight\": 15532, \"source\": 2, \"target\": 6}, {\"weight\": 13481, \"source\": 2, \"target\": 5}, {\"weight\": 12997, \"source\": 3, \"target\": 7}, {\"weight\": 12803, \"source\": 3, \"target\": 8}, {\"weight\": 5090, \"source\": 3, \"target\": 4}, {\"weight\": 10396, \"source\": 3, \"target\": 6}, {\"weight\": 6575, \"source\": 3, \"target\": 5}, {\"weight\": 12311, \"source\": 4, \"target\": 7}, {\"weight\": 12117, \"source\": 4, \"target\": 8}, {\"weight\": 12238, \"source\": 4, \"target\": 6}, {\"weight\": 11325, \"source\": 4, \"target\": 5}, {\"weight\": 11342, \"source\": 5, \"target\": 7}, {\"weight\": 11148, \"source\": 5, \"target\": 8}, {\"weight\": 8741, \"source\": 5, \"target\": 6}, {\"weight\": 6007, \"source\": 6, \"target\": 7}, {\"weight\": 5813, \"source\": 6, \"target\": 8}, {\"weight\": 223, \"source\": 7, \"target\": 8}]}",
"id": 408,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VAA, FUK, KOP, NBC, BAV, TQA, FSM, KKH, KLG\n- Travel distances (in kilometers) between each pair of airports:\nVAA to NBC: 2018\nVAA to KKH: 11453\nVAA to FUK: 7942\nVAA to KLG: 11259\nVAA to BAV: 6832\nVAA to FSM: 8852\nVAA to KOP: 9038\nVAA to TQA: 5031\nFUK to NBC: 6356\nFUK to KKH: 11662\nFUK to KLG: 11468\nFUK to BAV: 1990\nFUK to FSM: 11623\nFUK to KOP: 4266\nFUK to TQA: 12499\nKOP to NBC: 7079\nKOP to KKH: 15610\nKOP to KLG: 15416\nKOP to BAV: 3660\nKOP to FSM: 15532\nKOP to TQA: 13481\nNBC to KKH: 12997\nNBC to KLG: 12803\nNBC to BAV: 5090\nNBC to FSM: 10396\nNBC to TQA: 6575\nBAV to KKH: 12311\nBAV to KLG: 12117\nBAV to FSM: 12238\nBAV to TQA: 11325\nTQA to KKH: 11342\nTQA to KLG: 11148\nTQA to FSM: 8741\nFSM to KKH: 6007\nFSM to KLG: 5813\nKKH to KLG: 223\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CCV, TRC, SML, BVS, BDJ, RCB, MJZ, JCK, PLZ\n- Travel distances (in kilometers) between each pair of airports:\nCCV to MJZ: 11506\nCCV to TRC: 11828\nCCV to PLZ: 14580\nCCV to BDJ: 7163\nCCV to BVS: 17347\nCCV to SML: 14349\nCCV to RCB: 14148\nCCV to JCK: 3860\nTRC to MJZ: 14356\nTRC to PLZ: 16529\nTRC to BDJ: 15914\nTRC to BVS: 7095\nTRC to SML: 3050\nTRC to RCB: 16097\nTRC to JCK: 15143\nSML to MJZ: 13716\nSML to PLZ: 15017\nSML to BDJ: 17839\nSML to BVS: 4823\nSML to RCB: 14585\nSML to JCK: 17532\nBVS to MJZ: 14797\nBVS to PLZ: 11028\nBVS to BDJ: 19587\nBVS to RCB: 10596\nBVS to JCK: 19037\nBDJ to MJZ: 8017\nBDJ to PLZ: 10924\nBDJ to RCB: 10806\nBDJ to JCK: 4084\nRCB to MJZ: 12838\nRCB to PLZ: 1386\nRCB to JCK: 12967\nMJZ to PLZ: 13270\nMJZ to JCK: 10507\nJCK to PLZ: 13399\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60914,
"style": "rule"
}
|
{
"exact_answer": 60914,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CCV\", \"id\": 0}, {\"name\": \"TRC\", \"id\": 1}, {\"name\": \"SML\", \"id\": 2}, {\"name\": \"BVS\", \"id\": 3}, {\"name\": \"BDJ\", \"id\": 4}, {\"name\": \"RCB\", \"id\": 5}, {\"name\": \"MJZ\", \"id\": 6}, {\"name\": \"JCK\", \"id\": 7}, {\"name\": \"PLZ\", \"id\": 8}], \"links\": [{\"weight\": 11506, \"source\": 0, \"target\": 6}, {\"weight\": 11828, \"source\": 0, \"target\": 1}, {\"weight\": 14580, \"source\": 0, \"target\": 8}, {\"weight\": 7163, \"source\": 0, \"target\": 4}, {\"weight\": 17347, \"source\": 0, \"target\": 3}, {\"weight\": 14349, \"source\": 0, \"target\": 2}, {\"weight\": 14148, \"source\": 0, \"target\": 5}, {\"weight\": 3860, \"source\": 0, \"target\": 7}, {\"weight\": 14356, \"source\": 1, \"target\": 6}, {\"weight\": 16529, \"source\": 1, \"target\": 8}, {\"weight\": 15914, \"source\": 1, \"target\": 4}, {\"weight\": 7095, \"source\": 1, \"target\": 3}, {\"weight\": 3050, \"source\": 1, \"target\": 2}, {\"weight\": 16097, \"source\": 1, \"target\": 5}, {\"weight\": 15143, \"source\": 1, \"target\": 7}, {\"weight\": 13716, \"source\": 2, \"target\": 6}, {\"weight\": 15017, \"source\": 2, \"target\": 8}, {\"weight\": 17839, \"source\": 2, \"target\": 4}, {\"weight\": 4823, \"source\": 2, \"target\": 3}, {\"weight\": 14585, \"source\": 2, \"target\": 5}, {\"weight\": 17532, \"source\": 2, \"target\": 7}, {\"weight\": 14797, \"source\": 3, \"target\": 6}, {\"weight\": 11028, \"source\": 3, \"target\": 8}, {\"weight\": 19587, \"source\": 3, \"target\": 4}, {\"weight\": 10596, \"source\": 3, \"target\": 5}, {\"weight\": 19037, \"source\": 3, \"target\": 7}, {\"weight\": 8017, \"source\": 4, \"target\": 6}, {\"weight\": 10924, \"source\": 4, \"target\": 8}, {\"weight\": 10806, \"source\": 4, \"target\": 5}, {\"weight\": 4084, \"source\": 4, \"target\": 7}, {\"weight\": 12838, \"source\": 5, \"target\": 6}, {\"weight\": 1386, \"source\": 5, \"target\": 8}, {\"weight\": 12967, \"source\": 5, \"target\": 7}, {\"weight\": 13270, \"source\": 6, \"target\": 8}, {\"weight\": 10507, \"source\": 6, \"target\": 7}, {\"weight\": 13399, \"source\": 7, \"target\": 8}]}",
"id": 409,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CCV, TRC, SML, BVS, BDJ, RCB, MJZ, JCK, PLZ\n- Travel distances (in kilometers) between each pair of airports:\nCCV to MJZ: 11506\nCCV to TRC: 11828\nCCV to PLZ: 14580\nCCV to BDJ: 7163\nCCV to BVS: 17347\nCCV to SML: 14349\nCCV to RCB: 14148\nCCV to JCK: 3860\nTRC to MJZ: 14356\nTRC to PLZ: 16529\nTRC to BDJ: 15914\nTRC to BVS: 7095\nTRC to SML: 3050\nTRC to RCB: 16097\nTRC to JCK: 15143\nSML to MJZ: 13716\nSML to PLZ: 15017\nSML to BDJ: 17839\nSML to BVS: 4823\nSML to RCB: 14585\nSML to JCK: 17532\nBVS to MJZ: 14797\nBVS to PLZ: 11028\nBVS to BDJ: 19587\nBVS to RCB: 10596\nBVS to JCK: 19037\nBDJ to MJZ: 8017\nBDJ to PLZ: 10924\nBDJ to RCB: 10806\nBDJ to JCK: 4084\nRCB to MJZ: 12838\nRCB to PLZ: 1386\nRCB to JCK: 12967\nMJZ to PLZ: 13270\nMJZ to JCK: 10507\nJCK to PLZ: 13399\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HYL, YYZ, SZX, RDV, CEE, IXG, MAN, LMP, BFJ\n- Travel distances (in kilometers) between each pair of airports:\nHYL to SZX: 11569\nHYL to MAN: 8616\nHYL to RDV: 1985\nHYL to YYZ: 4458\nHYL to BFJ: 11593\nHYL to CEE: 10146\nHYL to LMP: 10970\nHYL to IXG: 15450\nYYZ to MAN: 5511\nYYZ to SZX: 12517\nYYZ to RDV: 5764\nYYZ to BFJ: 12323\nYYZ to CEE: 7353\nYYZ to LMP: 7690\nYYZ to IXG: 13857\nSZX to BFJ: 1001\nSZX to MAN: 9597\nSZX to RDV: 13376\nSZX to CEE: 7725\nSZX to LMP: 9835\nSZX to IXG: 4639\nRDV to MAN: 10423\nRDV to BFJ: 13400\nRDV to CEE: 11953\nRDV to LMP: 12777\nRDV to IXG: 17257\nCEE to MAN: 2532\nCEE to BFJ: 6960\nCEE to LMP: 3375\nCEE to IXG: 6783\nIXG to MAN: 8658\nIXG to BFJ: 3866\nIXG to LMP: 7716\nMAN to BFJ: 8832\nMAN to LMP: 2359\nLMP to BFJ: 9070\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42213,
"style": "rule"
}
|
{
"exact_answer": 42213,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HYL\", \"id\": 0}, {\"name\": \"YYZ\", \"id\": 1}, {\"name\": \"SZX\", \"id\": 2}, {\"name\": \"RDV\", \"id\": 3}, {\"name\": \"CEE\", \"id\": 4}, {\"name\": \"IXG\", \"id\": 5}, {\"name\": \"MAN\", \"id\": 6}, {\"name\": \"LMP\", \"id\": 7}, {\"name\": \"BFJ\", \"id\": 8}], \"links\": [{\"weight\": 11569, \"source\": 0, \"target\": 2}, {\"weight\": 8616, \"source\": 0, \"target\": 6}, {\"weight\": 1985, \"source\": 0, \"target\": 3}, {\"weight\": 4458, \"source\": 0, \"target\": 1}, {\"weight\": 11593, \"source\": 0, \"target\": 8}, {\"weight\": 10146, \"source\": 0, \"target\": 4}, {\"weight\": 10970, \"source\": 0, \"target\": 7}, {\"weight\": 15450, \"source\": 0, \"target\": 5}, {\"weight\": 5511, \"source\": 1, \"target\": 6}, {\"weight\": 12517, \"source\": 1, \"target\": 2}, {\"weight\": 5764, \"source\": 1, \"target\": 3}, {\"weight\": 12323, \"source\": 1, \"target\": 8}, {\"weight\": 7353, \"source\": 1, \"target\": 4}, {\"weight\": 7690, \"source\": 1, \"target\": 7}, {\"weight\": 13857, \"source\": 1, \"target\": 5}, {\"weight\": 1001, \"source\": 2, \"target\": 8}, {\"weight\": 9597, \"source\": 2, \"target\": 6}, {\"weight\": 13376, \"source\": 2, \"target\": 3}, {\"weight\": 7725, \"source\": 2, \"target\": 4}, {\"weight\": 9835, \"source\": 2, \"target\": 7}, {\"weight\": 4639, \"source\": 2, \"target\": 5}, {\"weight\": 10423, \"source\": 3, \"target\": 6}, {\"weight\": 13400, \"source\": 3, \"target\": 8}, {\"weight\": 11953, \"source\": 3, \"target\": 4}, {\"weight\": 12777, \"source\": 3, \"target\": 7}, {\"weight\": 17257, \"source\": 3, \"target\": 5}, {\"weight\": 2532, \"source\": 4, \"target\": 6}, {\"weight\": 6960, \"source\": 4, \"target\": 8}, {\"weight\": 3375, \"source\": 4, \"target\": 7}, {\"weight\": 6783, \"source\": 4, \"target\": 5}, {\"weight\": 8658, \"source\": 5, \"target\": 6}, {\"weight\": 3866, \"source\": 5, \"target\": 8}, {\"weight\": 7716, \"source\": 5, \"target\": 7}, {\"weight\": 8832, \"source\": 6, \"target\": 8}, {\"weight\": 2359, \"source\": 6, \"target\": 7}, {\"weight\": 9070, \"source\": 7, \"target\": 8}]}",
"id": 410,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HYL, YYZ, SZX, RDV, CEE, IXG, MAN, LMP, BFJ\n- Travel distances (in kilometers) between each pair of airports:\nHYL to SZX: 11569\nHYL to MAN: 8616\nHYL to RDV: 1985\nHYL to YYZ: 4458\nHYL to BFJ: 11593\nHYL to CEE: 10146\nHYL to LMP: 10970\nHYL to IXG: 15450\nYYZ to MAN: 5511\nYYZ to SZX: 12517\nYYZ to RDV: 5764\nYYZ to BFJ: 12323\nYYZ to CEE: 7353\nYYZ to LMP: 7690\nYYZ to IXG: 13857\nSZX to BFJ: 1001\nSZX to MAN: 9597\nSZX to RDV: 13376\nSZX to CEE: 7725\nSZX to LMP: 9835\nSZX to IXG: 4639\nRDV to MAN: 10423\nRDV to BFJ: 13400\nRDV to CEE: 11953\nRDV to LMP: 12777\nRDV to IXG: 17257\nCEE to MAN: 2532\nCEE to BFJ: 6960\nCEE to LMP: 3375\nCEE to IXG: 6783\nIXG to MAN: 8658\nIXG to BFJ: 3866\nIXG to LMP: 7716\nMAN to BFJ: 8832\nMAN to LMP: 2359\nLMP to BFJ: 9070\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JNB, LLK, STC, SVD, KZR, KOT, TCG, XGR, FUJ\n- Travel distances (in kilometers) between each pair of airports:\nJNB to XGR: 14799\nJNB to KOT: 19317\nJNB to TCG: 10361\nJNB to STC: 14650\nJNB to SVD: 11924\nJNB to FUJ: 12754\nJNB to KZR: 7752\nJNB to LLK: 11138\nLLK to XGR: 10291\nLLK to KOT: 14334\nLLK to TCG: 6390\nLLK to STC: 10846\nLLK to SVD: 11482\nLLK to FUJ: 9407\nLLK to KZR: 4021\nSTC to XGR: 3439\nSTC to KOT: 5995\nSTC to TCG: 12881\nSTC to SVD: 4782\nSTC to FUJ: 11821\nSTC to KZR: 9680\nSVD to XGR: 5396\nSVD to KOT: 9511\nSVD to TCG: 13591\nSVD to FUJ: 15084\nSVD to KZR: 9488\nKZR to XGR: 8468\nKZR to KOT: 13308\nKZR to TCG: 5456\nKZR to FUJ: 8918\nKOT to XGR: 7408\nKOT to TCG: 14674\nKOT to FUJ: 11886\nTCG to XGR: 12406\nTCG to FUJ: 4475\nXGR to FUJ: 12624\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61278,
"style": "rule"
}
|
{
"exact_answer": 61278,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JNB\", \"id\": 0}, {\"name\": \"LLK\", \"id\": 1}, {\"name\": \"STC\", \"id\": 2}, {\"name\": \"SVD\", \"id\": 3}, {\"name\": \"KZR\", \"id\": 4}, {\"name\": \"KOT\", \"id\": 5}, {\"name\": \"TCG\", \"id\": 6}, {\"name\": \"XGR\", \"id\": 7}, {\"name\": \"FUJ\", \"id\": 8}], \"links\": [{\"weight\": 14799, \"source\": 0, \"target\": 7}, {\"weight\": 19317, \"source\": 0, \"target\": 5}, {\"weight\": 10361, \"source\": 0, \"target\": 6}, {\"weight\": 14650, \"source\": 0, \"target\": 2}, {\"weight\": 11924, \"source\": 0, \"target\": 3}, {\"weight\": 12754, \"source\": 0, \"target\": 8}, {\"weight\": 7752, \"source\": 0, \"target\": 4}, {\"weight\": 11138, \"source\": 0, \"target\": 1}, {\"weight\": 10291, \"source\": 1, \"target\": 7}, {\"weight\": 14334, \"source\": 1, \"target\": 5}, {\"weight\": 6390, \"source\": 1, \"target\": 6}, {\"weight\": 10846, \"source\": 1, \"target\": 2}, {\"weight\": 11482, \"source\": 1, \"target\": 3}, {\"weight\": 9407, \"source\": 1, \"target\": 8}, {\"weight\": 4021, \"source\": 1, \"target\": 4}, {\"weight\": 3439, \"source\": 2, \"target\": 7}, {\"weight\": 5995, \"source\": 2, \"target\": 5}, {\"weight\": 12881, \"source\": 2, \"target\": 6}, {\"weight\": 4782, \"source\": 2, \"target\": 3}, {\"weight\": 11821, \"source\": 2, \"target\": 8}, {\"weight\": 9680, \"source\": 2, \"target\": 4}, {\"weight\": 5396, \"source\": 3, \"target\": 7}, {\"weight\": 9511, \"source\": 3, \"target\": 5}, {\"weight\": 13591, \"source\": 3, \"target\": 6}, {\"weight\": 15084, \"source\": 3, \"target\": 8}, {\"weight\": 9488, \"source\": 3, \"target\": 4}, {\"weight\": 8468, \"source\": 4, \"target\": 7}, {\"weight\": 13308, \"source\": 4, \"target\": 5}, {\"weight\": 5456, \"source\": 4, \"target\": 6}, {\"weight\": 8918, \"source\": 4, \"target\": 8}, {\"weight\": 7408, \"source\": 5, \"target\": 7}, {\"weight\": 14674, \"source\": 5, \"target\": 6}, {\"weight\": 11886, \"source\": 5, \"target\": 8}, {\"weight\": 12406, \"source\": 6, \"target\": 7}, {\"weight\": 4475, \"source\": 6, \"target\": 8}, {\"weight\": 12624, \"source\": 7, \"target\": 8}]}",
"id": 411,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JNB, LLK, STC, SVD, KZR, KOT, TCG, XGR, FUJ\n- Travel distances (in kilometers) between each pair of airports:\nJNB to XGR: 14799\nJNB to KOT: 19317\nJNB to TCG: 10361\nJNB to STC: 14650\nJNB to SVD: 11924\nJNB to FUJ: 12754\nJNB to KZR: 7752\nJNB to LLK: 11138\nLLK to XGR: 10291\nLLK to KOT: 14334\nLLK to TCG: 6390\nLLK to STC: 10846\nLLK to SVD: 11482\nLLK to FUJ: 9407\nLLK to KZR: 4021\nSTC to XGR: 3439\nSTC to KOT: 5995\nSTC to TCG: 12881\nSTC to SVD: 4782\nSTC to FUJ: 11821\nSTC to KZR: 9680\nSVD to XGR: 5396\nSVD to KOT: 9511\nSVD to TCG: 13591\nSVD to FUJ: 15084\nSVD to KZR: 9488\nKZR to XGR: 8468\nKZR to KOT: 13308\nKZR to TCG: 5456\nKZR to FUJ: 8918\nKOT to XGR: 7408\nKOT to TCG: 14674\nKOT to FUJ: 11886\nTCG to XGR: 12406\nTCG to FUJ: 4475\nXGR to FUJ: 12624\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BMW, OZC, PUE, PRN, AEY, HLZ, JUK, YXU, TNK\n- Travel distances (in kilometers) between each pair of airports:\nBMW to OZC: 13773\nBMW to PRN: 3882\nBMW to TNK: 14059\nBMW to PUE: 11451\nBMW to YXU: 8413\nBMW to JUK: 7299\nBMW to AEY: 8173\nBMW to HLZ: 21025\nOZC to PRN: 10579\nOZC to TNK: 14322\nOZC to PUE: 17404\nOZC to YXU: 13956\nOZC to JUK: 14369\nOZC to AEY: 15243\nOZC to HLZ: 8107\nPUE to PRN: 11331\nPUE to TNK: 9339\nPUE to YXU: 4673\nPUE to JUK: 10670\nPUE to AEY: 11544\nPUE to HLZ: 15550\nPRN to TNK: 12612\nPRN to YXU: 7741\nPRN to JUK: 5487\nPRN to AEY: 6605\nPRN to HLZ: 17831\nAEY to TNK: 12040\nAEY to YXU: 7389\nAEY to JUK: 2096\nAEY to HLZ: 20273\nHLZ to TNK: 12495\nHLZ to YXU: 13958\nHLZ to JUK: 19399\nJUK to TNK: 11166\nJUK to YXU: 6515\nYXU to TNK: 5960\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65859,
"style": "rule"
}
|
{
"exact_answer": 65859,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BMW\", \"id\": 0}, {\"name\": \"OZC\", \"id\": 1}, {\"name\": \"PUE\", \"id\": 2}, {\"name\": \"PRN\", \"id\": 3}, {\"name\": \"AEY\", \"id\": 4}, {\"name\": \"HLZ\", \"id\": 5}, {\"name\": \"JUK\", \"id\": 6}, {\"name\": \"YXU\", \"id\": 7}, {\"name\": \"TNK\", \"id\": 8}], \"links\": [{\"weight\": 13773, \"source\": 0, \"target\": 1}, {\"weight\": 3882, \"source\": 0, \"target\": 3}, {\"weight\": 14059, \"source\": 0, \"target\": 8}, {\"weight\": 11451, \"source\": 0, \"target\": 2}, {\"weight\": 8413, \"source\": 0, \"target\": 7}, {\"weight\": 7299, \"source\": 0, \"target\": 6}, {\"weight\": 8173, \"source\": 0, \"target\": 4}, {\"weight\": 21025, \"source\": 0, \"target\": 5}, {\"weight\": 10579, \"source\": 1, \"target\": 3}, {\"weight\": 14322, \"source\": 1, \"target\": 8}, {\"weight\": 17404, \"source\": 1, \"target\": 2}, {\"weight\": 13956, \"source\": 1, \"target\": 7}, {\"weight\": 14369, \"source\": 1, \"target\": 6}, {\"weight\": 15243, \"source\": 1, \"target\": 4}, {\"weight\": 8107, \"source\": 1, \"target\": 5}, {\"weight\": 11331, \"source\": 2, \"target\": 3}, {\"weight\": 9339, \"source\": 2, \"target\": 8}, {\"weight\": 4673, \"source\": 2, \"target\": 7}, {\"weight\": 10670, \"source\": 2, \"target\": 6}, {\"weight\": 11544, \"source\": 2, \"target\": 4}, {\"weight\": 15550, \"source\": 2, \"target\": 5}, {\"weight\": 12612, \"source\": 3, \"target\": 8}, {\"weight\": 7741, \"source\": 3, \"target\": 7}, {\"weight\": 5487, \"source\": 3, \"target\": 6}, {\"weight\": 6605, \"source\": 3, \"target\": 4}, {\"weight\": 17831, \"source\": 3, \"target\": 5}, {\"weight\": 12040, \"source\": 4, \"target\": 8}, {\"weight\": 7389, \"source\": 4, \"target\": 7}, {\"weight\": 2096, \"source\": 4, \"target\": 6}, {\"weight\": 20273, \"source\": 4, \"target\": 5}, {\"weight\": 12495, \"source\": 5, \"target\": 8}, {\"weight\": 13958, \"source\": 5, \"target\": 7}, {\"weight\": 19399, \"source\": 5, \"target\": 6}, {\"weight\": 11166, \"source\": 6, \"target\": 8}, {\"weight\": 6515, \"source\": 6, \"target\": 7}, {\"weight\": 5960, \"source\": 7, \"target\": 8}]}",
"id": 412,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BMW, OZC, PUE, PRN, AEY, HLZ, JUK, YXU, TNK\n- Travel distances (in kilometers) between each pair of airports:\nBMW to OZC: 13773\nBMW to PRN: 3882\nBMW to TNK: 14059\nBMW to PUE: 11451\nBMW to YXU: 8413\nBMW to JUK: 7299\nBMW to AEY: 8173\nBMW to HLZ: 21025\nOZC to PRN: 10579\nOZC to TNK: 14322\nOZC to PUE: 17404\nOZC to YXU: 13956\nOZC to JUK: 14369\nOZC to AEY: 15243\nOZC to HLZ: 8107\nPUE to PRN: 11331\nPUE to TNK: 9339\nPUE to YXU: 4673\nPUE to JUK: 10670\nPUE to AEY: 11544\nPUE to HLZ: 15550\nPRN to TNK: 12612\nPRN to YXU: 7741\nPRN to JUK: 5487\nPRN to AEY: 6605\nPRN to HLZ: 17831\nAEY to TNK: 12040\nAEY to YXU: 7389\nAEY to JUK: 2096\nAEY to HLZ: 20273\nHLZ to TNK: 12495\nHLZ to YXU: 13958\nHLZ to JUK: 19399\nJUK to TNK: 11166\nJUK to YXU: 6515\nYXU to TNK: 5960\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVX, AGN, PAS, CTM, BOS, RYG, PIT, TSN, MQM\n- Travel distances (in kilometers) between each pair of airports:\nKVX to TSN: 7288\nKVX to CTM: 12386\nKVX to BOS: 7710\nKVX to PAS: 3155\nKVX to PIT: 8363\nKVX to RYG: 2194\nKVX to AGN: 11201\nKVX to MQM: 3281\nAGN to TSN: 10349\nAGN to CTM: 6485\nAGN to BOS: 5559\nAGN to PAS: 11712\nAGN to PIT: 4963\nAGN to RYG: 9670\nAGN to MQM: 12602\nPAS to TSN: 7942\nPAS to CTM: 12576\nPAS to BOS: 7788\nPAS to PIT: 8529\nPAS to RYG: 2707\nPAS to MQM: 1619\nCTM to TSN: 13669\nCTM to BOS: 4797\nCTM to PIT: 4124\nCTM to RYG: 10640\nCTM to MQM: 13614\nBOS to PIT: 796\nBOS to TSN: 11953\nBOS to RYG: 6037\nBOS to MQM: 8818\nRYG to TSN: 7835\nRYG to PIT: 6677\nRYG to MQM: 3488\nPIT to TSN: 11595\nPIT to MQM: 9596\nTSN to MQM: 7789\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 42548,
"style": "rule"
}
|
{
"exact_answer": 42548,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KVX\", \"id\": 0}, {\"name\": \"AGN\", \"id\": 1}, {\"name\": \"PAS\", \"id\": 2}, {\"name\": \"CTM\", \"id\": 3}, {\"name\": \"BOS\", \"id\": 4}, {\"name\": \"RYG\", \"id\": 5}, {\"name\": \"PIT\", \"id\": 6}, {\"name\": \"TSN\", \"id\": 7}, {\"name\": \"MQM\", \"id\": 8}], \"links\": [{\"weight\": 7288, \"source\": 0, \"target\": 7}, {\"weight\": 12386, \"source\": 0, \"target\": 3}, {\"weight\": 7710, \"source\": 0, \"target\": 4}, {\"weight\": 3155, \"source\": 0, \"target\": 2}, {\"weight\": 8363, \"source\": 0, \"target\": 6}, {\"weight\": 2194, \"source\": 0, \"target\": 5}, {\"weight\": 11201, \"source\": 0, \"target\": 1}, {\"weight\": 3281, \"source\": 0, \"target\": 8}, {\"weight\": 10349, \"source\": 1, \"target\": 7}, {\"weight\": 6485, \"source\": 1, \"target\": 3}, {\"weight\": 5559, \"source\": 1, \"target\": 4}, {\"weight\": 11712, \"source\": 1, \"target\": 2}, {\"weight\": 4963, \"source\": 1, \"target\": 6}, {\"weight\": 9670, \"source\": 1, \"target\": 5}, {\"weight\": 12602, \"source\": 1, \"target\": 8}, {\"weight\": 7942, \"source\": 2, \"target\": 7}, {\"weight\": 12576, \"source\": 2, \"target\": 3}, {\"weight\": 7788, \"source\": 2, \"target\": 4}, {\"weight\": 8529, \"source\": 2, \"target\": 6}, {\"weight\": 2707, \"source\": 2, \"target\": 5}, {\"weight\": 1619, \"source\": 2, \"target\": 8}, {\"weight\": 13669, \"source\": 3, \"target\": 7}, {\"weight\": 4797, \"source\": 3, \"target\": 4}, {\"weight\": 4124, \"source\": 3, \"target\": 6}, {\"weight\": 10640, \"source\": 3, \"target\": 5}, {\"weight\": 13614, \"source\": 3, \"target\": 8}, {\"weight\": 796, \"source\": 4, \"target\": 6}, {\"weight\": 11953, \"source\": 4, \"target\": 7}, {\"weight\": 6037, \"source\": 4, \"target\": 5}, {\"weight\": 8818, \"source\": 4, \"target\": 8}, {\"weight\": 7835, \"source\": 5, \"target\": 7}, {\"weight\": 6677, \"source\": 5, \"target\": 6}, {\"weight\": 3488, \"source\": 5, \"target\": 8}, {\"weight\": 11595, \"source\": 6, \"target\": 7}, {\"weight\": 9596, \"source\": 6, \"target\": 8}, {\"weight\": 7789, \"source\": 7, \"target\": 8}]}",
"id": 413,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KVX, AGN, PAS, CTM, BOS, RYG, PIT, TSN, MQM\n- Travel distances (in kilometers) between each pair of airports:\nKVX to TSN: 7288\nKVX to CTM: 12386\nKVX to BOS: 7710\nKVX to PAS: 3155\nKVX to PIT: 8363\nKVX to RYG: 2194\nKVX to AGN: 11201\nKVX to MQM: 3281\nAGN to TSN: 10349\nAGN to CTM: 6485\nAGN to BOS: 5559\nAGN to PAS: 11712\nAGN to PIT: 4963\nAGN to RYG: 9670\nAGN to MQM: 12602\nPAS to TSN: 7942\nPAS to CTM: 12576\nPAS to BOS: 7788\nPAS to PIT: 8529\nPAS to RYG: 2707\nPAS to MQM: 1619\nCTM to TSN: 13669\nCTM to BOS: 4797\nCTM to PIT: 4124\nCTM to RYG: 10640\nCTM to MQM: 13614\nBOS to PIT: 796\nBOS to TSN: 11953\nBOS to RYG: 6037\nBOS to MQM: 8818\nRYG to TSN: 7835\nRYG to PIT: 6677\nRYG to MQM: 3488\nPIT to TSN: 11595\nPIT to MQM: 9596\nTSN to MQM: 7789\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IRA, NYM, RAP, NEV, KAJ, WUZ, DOU, LPA\n- Travel distances (in kilometers) between each pair of airports:\nNNG to WUZ: 327\nNNG to LPA: 11936\nNNG to DOU: 18441\nNNG to NYM: 6177\nNNG to NEV: 15893\nNNG to RAP: 12649\nNNG to KAJ: 7989\nNNG to IRA: 7281\nIRA to LPA: 18919\nIRA to DOU: 16754\nIRA to NYM: 13009\nIRA to NEV: 17038\nIRA to RAP: 12951\nIRA to KAJ: 14973\nIRA to WUZ: 7554\nNYM to LPA: 7351\nNYM to DOU: 14422\nNYM to NEV: 11343\nNYM to RAP: 11548\nNYM to KAJ: 3570\nNYM to WUZ: 6285\nRAP to LPA: 7915\nRAP to DOU: 9677\nRAP to NEV: 4906\nRAP to KAJ: 8949\nRAP to WUZ: 12695\nNEV to LPA: 6993\nNEV to DOU: 5208\nNEV to KAJ: 8969\nNEV to WUZ: 16044\nKAJ to LPA: 5157\nKAJ to DOU: 12182\nKAJ to WUZ: 8101\nWUZ to LPA: 12068\nWUZ to DOU: 18768\nDOU to LPA: 7089\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52774,
"style": "rule"
}
|
{
"exact_answer": 52774,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NNG\", \"id\": 0}, {\"name\": \"IRA\", \"id\": 1}, {\"name\": \"NYM\", \"id\": 2}, {\"name\": \"RAP\", \"id\": 3}, {\"name\": \"NEV\", \"id\": 4}, {\"name\": \"KAJ\", \"id\": 5}, {\"name\": \"WUZ\", \"id\": 6}, {\"name\": \"DOU\", \"id\": 7}, {\"name\": \"LPA\", \"id\": 8}], \"links\": [{\"weight\": 327, \"source\": 0, \"target\": 6}, {\"weight\": 11936, \"source\": 0, \"target\": 8}, {\"weight\": 18441, \"source\": 0, \"target\": 7}, {\"weight\": 6177, \"source\": 0, \"target\": 2}, {\"weight\": 15893, \"source\": 0, \"target\": 4}, {\"weight\": 12649, \"source\": 0, \"target\": 3}, {\"weight\": 7989, \"source\": 0, \"target\": 5}, {\"weight\": 7281, \"source\": 0, \"target\": 1}, {\"weight\": 18919, \"source\": 1, \"target\": 8}, {\"weight\": 16754, \"source\": 1, \"target\": 7}, {\"weight\": 13009, \"source\": 1, \"target\": 2}, {\"weight\": 17038, \"source\": 1, \"target\": 4}, {\"weight\": 12951, \"source\": 1, \"target\": 3}, {\"weight\": 14973, \"source\": 1, \"target\": 5}, {\"weight\": 7554, \"source\": 1, \"target\": 6}, {\"weight\": 7351, \"source\": 2, \"target\": 8}, {\"weight\": 14422, \"source\": 2, \"target\": 7}, {\"weight\": 11343, \"source\": 2, \"target\": 4}, {\"weight\": 11548, \"source\": 2, \"target\": 3}, {\"weight\": 3570, \"source\": 2, \"target\": 5}, {\"weight\": 6285, \"source\": 2, \"target\": 6}, {\"weight\": 7915, \"source\": 3, \"target\": 8}, {\"weight\": 9677, \"source\": 3, \"target\": 7}, {\"weight\": 4906, \"source\": 3, \"target\": 4}, {\"weight\": 8949, \"source\": 3, \"target\": 5}, {\"weight\": 12695, \"source\": 3, \"target\": 6}, {\"weight\": 6993, \"source\": 4, \"target\": 8}, {\"weight\": 5208, \"source\": 4, \"target\": 7}, {\"weight\": 8969, \"source\": 4, \"target\": 5}, {\"weight\": 16044, \"source\": 4, \"target\": 6}, {\"weight\": 5157, \"source\": 5, \"target\": 8}, {\"weight\": 12182, \"source\": 5, \"target\": 7}, {\"weight\": 8101, \"source\": 5, \"target\": 6}, {\"weight\": 12068, \"source\": 6, \"target\": 8}, {\"weight\": 18768, \"source\": 6, \"target\": 7}, {\"weight\": 7089, \"source\": 7, \"target\": 8}]}",
"id": 414,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IRA, NYM, RAP, NEV, KAJ, WUZ, DOU, LPA\n- Travel distances (in kilometers) between each pair of airports:\nNNG to WUZ: 327\nNNG to LPA: 11936\nNNG to DOU: 18441\nNNG to NYM: 6177\nNNG to NEV: 15893\nNNG to RAP: 12649\nNNG to KAJ: 7989\nNNG to IRA: 7281\nIRA to LPA: 18919\nIRA to DOU: 16754\nIRA to NYM: 13009\nIRA to NEV: 17038\nIRA to RAP: 12951\nIRA to KAJ: 14973\nIRA to WUZ: 7554\nNYM to LPA: 7351\nNYM to DOU: 14422\nNYM to NEV: 11343\nNYM to RAP: 11548\nNYM to KAJ: 3570\nNYM to WUZ: 6285\nRAP to LPA: 7915\nRAP to DOU: 9677\nRAP to NEV: 4906\nRAP to KAJ: 8949\nRAP to WUZ: 12695\nNEV to LPA: 6993\nNEV to DOU: 5208\nNEV to KAJ: 8969\nNEV to WUZ: 16044\nKAJ to LPA: 5157\nKAJ to DOU: 12182\nKAJ to WUZ: 8101\nWUZ to LPA: 12068\nWUZ to DOU: 18768\nDOU to LPA: 7089\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PGD, YYZ, LPM, NSH, GDE, GJT, VAN, BWN\n- Travel distances (in kilometers) between each pair of airports:\nBUZ to BWN: 7329\nBUZ to YYZ: 10873\nBUZ to GJT: 12886\nBUZ to NSH: 859\nBUZ to GDE: 3194\nBUZ to PGD: 12415\nBUZ to LPM: 14225\nBUZ to VAN: 3538\nPGD to BWN: 16092\nPGD to YYZ: 1922\nPGD to GJT: 2931\nPGD to NSH: 11896\nPGD to GDE: 13860\nPGD to LPM: 13895\nPGD to VAN: 10979\nYYZ to BWN: 14413\nYYZ to GJT: 2450\nYYZ to NSH: 10354\nYYZ to GDE: 12321\nYYZ to LPM: 13498\nYYZ to VAN: 9433\nLPM to BWN: 7475\nLPM to GJT: 11059\nLPM to NSH: 14242\nLPM to GDE: 15953\nLPM to VAN: 16263\nNSH to BWN: 7359\nNSH to GJT: 12344\nNSH to GDE: 3665\nNSH to VAN: 3405\nGDE to BWN: 9123\nGDE to GJT: 14509\nGDE to VAN: 4417\nGJT to BWN: 13406\nGJT to VAN: 11473\nVAN to BWN: 9486\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48649,
"style": "rule"
}
|
{
"exact_answer": 48649,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUZ\", \"id\": 0}, {\"name\": \"PGD\", \"id\": 1}, {\"name\": \"YYZ\", \"id\": 2}, {\"name\": \"LPM\", \"id\": 3}, {\"name\": \"NSH\", \"id\": 4}, {\"name\": \"GDE\", \"id\": 5}, {\"name\": \"GJT\", \"id\": 6}, {\"name\": \"VAN\", \"id\": 7}, {\"name\": \"BWN\", \"id\": 8}], \"links\": [{\"weight\": 7329, \"source\": 0, \"target\": 8}, {\"weight\": 10873, \"source\": 0, \"target\": 2}, {\"weight\": 12886, \"source\": 0, \"target\": 6}, {\"weight\": 859, \"source\": 0, \"target\": 4}, {\"weight\": 3194, \"source\": 0, \"target\": 5}, {\"weight\": 12415, \"source\": 0, \"target\": 1}, {\"weight\": 14225, \"source\": 0, \"target\": 3}, {\"weight\": 3538, \"source\": 0, \"target\": 7}, {\"weight\": 16092, \"source\": 1, \"target\": 8}, {\"weight\": 1922, \"source\": 1, \"target\": 2}, {\"weight\": 2931, \"source\": 1, \"target\": 6}, {\"weight\": 11896, \"source\": 1, \"target\": 4}, {\"weight\": 13860, \"source\": 1, \"target\": 5}, {\"weight\": 13895, \"source\": 1, \"target\": 3}, {\"weight\": 10979, \"source\": 1, \"target\": 7}, {\"weight\": 14413, \"source\": 2, \"target\": 8}, {\"weight\": 2450, \"source\": 2, \"target\": 6}, {\"weight\": 10354, \"source\": 2, \"target\": 4}, {\"weight\": 12321, \"source\": 2, \"target\": 5}, {\"weight\": 13498, \"source\": 2, \"target\": 3}, {\"weight\": 9433, \"source\": 2, \"target\": 7}, {\"weight\": 7475, \"source\": 3, \"target\": 8}, {\"weight\": 11059, \"source\": 3, \"target\": 6}, {\"weight\": 14242, \"source\": 3, \"target\": 4}, {\"weight\": 15953, \"source\": 3, \"target\": 5}, {\"weight\": 16263, \"source\": 3, \"target\": 7}, {\"weight\": 7359, \"source\": 4, \"target\": 8}, {\"weight\": 12344, \"source\": 4, \"target\": 6}, {\"weight\": 3665, \"source\": 4, \"target\": 5}, {\"weight\": 3405, \"source\": 4, \"target\": 7}, {\"weight\": 9123, \"source\": 5, \"target\": 8}, {\"weight\": 14509, \"source\": 5, \"target\": 6}, {\"weight\": 4417, \"source\": 5, \"target\": 7}, {\"weight\": 13406, \"source\": 6, \"target\": 8}, {\"weight\": 11473, \"source\": 6, \"target\": 7}, {\"weight\": 9486, \"source\": 7, \"target\": 8}]}",
"id": 415,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PGD, YYZ, LPM, NSH, GDE, GJT, VAN, BWN\n- Travel distances (in kilometers) between each pair of airports:\nBUZ to BWN: 7329\nBUZ to YYZ: 10873\nBUZ to GJT: 12886\nBUZ to NSH: 859\nBUZ to GDE: 3194\nBUZ to PGD: 12415\nBUZ to LPM: 14225\nBUZ to VAN: 3538\nPGD to BWN: 16092\nPGD to YYZ: 1922\nPGD to GJT: 2931\nPGD to NSH: 11896\nPGD to GDE: 13860\nPGD to LPM: 13895\nPGD to VAN: 10979\nYYZ to BWN: 14413\nYYZ to GJT: 2450\nYYZ to NSH: 10354\nYYZ to GDE: 12321\nYYZ to LPM: 13498\nYYZ to VAN: 9433\nLPM to BWN: 7475\nLPM to GJT: 11059\nLPM to NSH: 14242\nLPM to GDE: 15953\nLPM to VAN: 16263\nNSH to BWN: 7359\nNSH to GJT: 12344\nNSH to GDE: 3665\nNSH to VAN: 3405\nGDE to BWN: 9123\nGDE to GJT: 14509\nGDE to VAN: 4417\nGJT to BWN: 13406\nGJT to VAN: 11473\nVAN to BWN: 9486\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, BVC, MHK, FTE, IGD, THR, AXK, SJI, MCO\n- Travel distances (in kilometers) between each pair of airports:\nPAC to MCO: 2596\nPAC to SJI: 16885\nPAC to MHK: 4084\nPAC to FTE: 8283\nPAC to THR: 13779\nPAC to AXK: 14708\nPAC to BVC: 8789\nPAC to IGD: 13004\nBVC to MCO: 7402\nBVC to SJI: 15172\nBVC to MHK: 7791\nBVC to FTE: 8865\nBVC to THR: 8014\nBVC to AXK: 7833\nBVC to IGD: 7239\nMHK to MCO: 2276\nMHK to SJI: 14167\nMHK to FTE: 11265\nMHK to THR: 11665\nMHK to AXK: 13063\nMHK to IGD: 10874\nFTE to MCO: 9464\nFTE to SJI: 21016\nFTE to THR: 16219\nFTE to AXK: 14919\nFTE to IGD: 15598\nIGD to MCO: 10741\nIGD to SJI: 10113\nIGD to THR: 3315\nIGD to AXK: 4179\nTHR to MCO: 11521\nTHR to SJI: 7733\nTHR to AXK: 2657\nAXK to MCO: 12874\nAXK to SJI: 8817\nSJI to MCO: 14942\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57995,
"style": "rule"
}
|
{
"exact_answer": 57995,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAC\", \"id\": 0}, {\"name\": \"BVC\", \"id\": 1}, {\"name\": \"MHK\", \"id\": 2}, {\"name\": \"FTE\", \"id\": 3}, {\"name\": \"IGD\", \"id\": 4}, {\"name\": \"THR\", \"id\": 5}, {\"name\": \"AXK\", \"id\": 6}, {\"name\": \"SJI\", \"id\": 7}, {\"name\": \"MCO\", \"id\": 8}], \"links\": [{\"weight\": 2596, \"source\": 0, \"target\": 8}, {\"weight\": 16885, \"source\": 0, \"target\": 7}, {\"weight\": 4084, \"source\": 0, \"target\": 2}, {\"weight\": 8283, \"source\": 0, \"target\": 3}, {\"weight\": 13779, \"source\": 0, \"target\": 5}, {\"weight\": 14708, \"source\": 0, \"target\": 6}, {\"weight\": 8789, \"source\": 0, \"target\": 1}, {\"weight\": 13004, \"source\": 0, \"target\": 4}, {\"weight\": 7402, \"source\": 1, \"target\": 8}, {\"weight\": 15172, \"source\": 1, \"target\": 7}, {\"weight\": 7791, \"source\": 1, \"target\": 2}, {\"weight\": 8865, \"source\": 1, \"target\": 3}, {\"weight\": 8014, \"source\": 1, \"target\": 5}, {\"weight\": 7833, \"source\": 1, \"target\": 6}, {\"weight\": 7239, \"source\": 1, \"target\": 4}, {\"weight\": 2276, \"source\": 2, \"target\": 8}, {\"weight\": 14167, \"source\": 2, \"target\": 7}, {\"weight\": 11265, \"source\": 2, \"target\": 3}, {\"weight\": 11665, \"source\": 2, \"target\": 5}, {\"weight\": 13063, \"source\": 2, \"target\": 6}, {\"weight\": 10874, \"source\": 2, \"target\": 4}, {\"weight\": 9464, \"source\": 3, \"target\": 8}, {\"weight\": 21016, \"source\": 3, \"target\": 7}, {\"weight\": 16219, \"source\": 3, \"target\": 5}, {\"weight\": 14919, \"source\": 3, \"target\": 6}, {\"weight\": 15598, \"source\": 3, \"target\": 4}, {\"weight\": 10741, \"source\": 4, \"target\": 8}, {\"weight\": 10113, \"source\": 4, \"target\": 7}, {\"weight\": 3315, \"source\": 4, \"target\": 5}, {\"weight\": 4179, \"source\": 4, \"target\": 6}, {\"weight\": 11521, \"source\": 5, \"target\": 8}, {\"weight\": 7733, \"source\": 5, \"target\": 7}, {\"weight\": 2657, \"source\": 5, \"target\": 6}, {\"weight\": 12874, \"source\": 6, \"target\": 8}, {\"weight\": 8817, \"source\": 6, \"target\": 7}, {\"weight\": 14942, \"source\": 7, \"target\": 8}]}",
"id": 416,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, BVC, MHK, FTE, IGD, THR, AXK, SJI, MCO\n- Travel distances (in kilometers) between each pair of airports:\nPAC to MCO: 2596\nPAC to SJI: 16885\nPAC to MHK: 4084\nPAC to FTE: 8283\nPAC to THR: 13779\nPAC to AXK: 14708\nPAC to BVC: 8789\nPAC to IGD: 13004\nBVC to MCO: 7402\nBVC to SJI: 15172\nBVC to MHK: 7791\nBVC to FTE: 8865\nBVC to THR: 8014\nBVC to AXK: 7833\nBVC to IGD: 7239\nMHK to MCO: 2276\nMHK to SJI: 14167\nMHK to FTE: 11265\nMHK to THR: 11665\nMHK to AXK: 13063\nMHK to IGD: 10874\nFTE to MCO: 9464\nFTE to SJI: 21016\nFTE to THR: 16219\nFTE to AXK: 14919\nFTE to IGD: 15598\nIGD to MCO: 10741\nIGD to SJI: 10113\nIGD to THR: 3315\nIGD to AXK: 4179\nTHR to MCO: 11521\nTHR to SJI: 7733\nTHR to AXK: 2657\nAXK to MCO: 12874\nAXK to SJI: 8817\nSJI to MCO: 14942\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAF, QUV, RFD, PQC, LRM, PIK, YQL, VGA, TCT\n- Travel distances (in kilometers) between each pair of airports:\nMAF to TCT: 5146\nMAF to LRM: 3664\nMAF to YQL: 2539\nMAF to VGA: 15318\nMAF to PQC: 14758\nMAF to PIK: 7937\nMAF to RFD: 3614\nMAF to QUV: 8646\nQUV to TCT: 10563\nQUV to LRM: 8725\nQUV to YQL: 7404\nQUV to VGA: 11230\nQUV to PQC: 13310\nQUV to PIK: 3951\nQUV to RFD: 9345\nRFD to TCT: 6415\nRFD to LRM: 3421\nRFD to YQL: 4197\nRFD to VGA: 16404\nRFD to PQC: 15867\nRFD to PIK: 8509\nPQC to TCT: 14933\nPQC to LRM: 17058\nPQC to YQL: 12814\nPQC to VGA: 3707\nPQC to PIK: 10558\nLRM to TCT: 8134\nLRM to YQL: 5586\nLRM to VGA: 15002\nLRM to PIK: 7795\nPIK to TCT: 10410\nPIK to YQL: 7214\nPIK to VGA: 8456\nYQL to TCT: 3611\nYQL to VGA: 14414\nVGA to TCT: 16429\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52957,
"style": "rule"
}
|
{
"exact_answer": 52957,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MAF\", \"id\": 0}, {\"name\": \"QUV\", \"id\": 1}, {\"name\": \"RFD\", \"id\": 2}, {\"name\": \"PQC\", \"id\": 3}, {\"name\": \"LRM\", \"id\": 4}, {\"name\": \"PIK\", \"id\": 5}, {\"name\": \"YQL\", \"id\": 6}, {\"name\": \"VGA\", \"id\": 7}, {\"name\": \"TCT\", \"id\": 8}], \"links\": [{\"weight\": 5146, \"source\": 0, \"target\": 8}, {\"weight\": 3664, \"source\": 0, \"target\": 4}, {\"weight\": 2539, \"source\": 0, \"target\": 6}, {\"weight\": 15318, \"source\": 0, \"target\": 7}, {\"weight\": 14758, \"source\": 0, \"target\": 3}, {\"weight\": 7937, \"source\": 0, \"target\": 5}, {\"weight\": 3614, \"source\": 0, \"target\": 2}, {\"weight\": 8646, \"source\": 0, \"target\": 1}, {\"weight\": 10563, \"source\": 1, \"target\": 8}, {\"weight\": 8725, \"source\": 1, \"target\": 4}, {\"weight\": 7404, \"source\": 1, \"target\": 6}, {\"weight\": 11230, \"source\": 1, \"target\": 7}, {\"weight\": 13310, \"source\": 1, \"target\": 3}, {\"weight\": 3951, \"source\": 1, \"target\": 5}, {\"weight\": 9345, \"source\": 1, \"target\": 2}, {\"weight\": 6415, \"source\": 2, \"target\": 8}, {\"weight\": 3421, \"source\": 2, \"target\": 4}, {\"weight\": 4197, \"source\": 2, \"target\": 6}, {\"weight\": 16404, \"source\": 2, \"target\": 7}, {\"weight\": 15867, \"source\": 2, \"target\": 3}, {\"weight\": 8509, \"source\": 2, \"target\": 5}, {\"weight\": 14933, \"source\": 3, \"target\": 8}, {\"weight\": 17058, \"source\": 3, \"target\": 4}, {\"weight\": 12814, \"source\": 3, \"target\": 6}, {\"weight\": 3707, \"source\": 3, \"target\": 7}, {\"weight\": 10558, \"source\": 3, \"target\": 5}, {\"weight\": 8134, \"source\": 4, \"target\": 8}, {\"weight\": 5586, \"source\": 4, \"target\": 6}, {\"weight\": 15002, \"source\": 4, \"target\": 7}, {\"weight\": 7795, \"source\": 4, \"target\": 5}, {\"weight\": 10410, \"source\": 5, \"target\": 8}, {\"weight\": 7214, \"source\": 5, \"target\": 6}, {\"weight\": 8456, \"source\": 5, \"target\": 7}, {\"weight\": 3611, \"source\": 6, \"target\": 8}, {\"weight\": 14414, \"source\": 6, \"target\": 7}, {\"weight\": 16429, \"source\": 7, \"target\": 8}]}",
"id": 417,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAF, QUV, RFD, PQC, LRM, PIK, YQL, VGA, TCT\n- Travel distances (in kilometers) between each pair of airports:\nMAF to TCT: 5146\nMAF to LRM: 3664\nMAF to YQL: 2539\nMAF to VGA: 15318\nMAF to PQC: 14758\nMAF to PIK: 7937\nMAF to RFD: 3614\nMAF to QUV: 8646\nQUV to TCT: 10563\nQUV to LRM: 8725\nQUV to YQL: 7404\nQUV to VGA: 11230\nQUV to PQC: 13310\nQUV to PIK: 3951\nQUV to RFD: 9345\nRFD to TCT: 6415\nRFD to LRM: 3421\nRFD to YQL: 4197\nRFD to VGA: 16404\nRFD to PQC: 15867\nRFD to PIK: 8509\nPQC to TCT: 14933\nPQC to LRM: 17058\nPQC to YQL: 12814\nPQC to VGA: 3707\nPQC to PIK: 10558\nLRM to TCT: 8134\nLRM to YQL: 5586\nLRM to VGA: 15002\nLRM to PIK: 7795\nPIK to TCT: 10410\nPIK to YQL: 7214\nPIK to VGA: 8456\nYQL to TCT: 3611\nYQL to VGA: 14414\nVGA to TCT: 16429\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LLK, MLA, IAS, BHS, HKD, YHO, YPH, ORV\n- Travel distances (in kilometers) between each pair of airports:\nBUF to YPH: 2408\nBUF to ORV: 6168\nBUF to MLA: 7762\nBUF to IAS: 7941\nBUF to HKD: 11577\nBUF to YHO: 2509\nBUF to LLK: 9912\nBUF to BHS: 15773\nLLK to YPH: 10699\nLLK to ORV: 14488\nLLK to MLA: 4831\nLLK to IAS: 4426\nLLK to HKD: 9277\nLLK to YHO: 9362\nLLK to BHS: 16677\nMLA to YPH: 8234\nMLA to ORV: 13074\nMLA to IAS: 1713\nMLA to HKD: 10062\nMLA to YHO: 6897\nMLA to BHS: 16252\nIAS to YPH: 8238\nIAS to ORV: 12905\nIAS to HKD: 9047\nIAS to YHO: 6901\nIAS to BHS: 15869\nBHS to YPH: 16317\nBHS to ORV: 13745\nBHS to HKD: 8855\nBHS to YHO: 17821\nHKD to YPH: 11856\nHKD to ORV: 11581\nHKD to YHO: 13369\nYHO to YPH: 1831\nYHO to ORV: 8158\nYPH to ORV: 6990\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55320,
"style": "rule"
}
|
{
"exact_answer": 55320,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BUF\", \"id\": 0}, {\"name\": \"LLK\", \"id\": 1}, {\"name\": \"MLA\", \"id\": 2}, {\"name\": \"IAS\", \"id\": 3}, {\"name\": \"BHS\", \"id\": 4}, {\"name\": \"HKD\", \"id\": 5}, {\"name\": \"YHO\", \"id\": 6}, {\"name\": \"YPH\", \"id\": 7}, {\"name\": \"ORV\", \"id\": 8}], \"links\": [{\"weight\": 2408, \"source\": 0, \"target\": 7}, {\"weight\": 6168, \"source\": 0, \"target\": 8}, {\"weight\": 7762, \"source\": 0, \"target\": 2}, {\"weight\": 7941, \"source\": 0, \"target\": 3}, {\"weight\": 11577, \"source\": 0, \"target\": 5}, {\"weight\": 2509, \"source\": 0, \"target\": 6}, {\"weight\": 9912, \"source\": 0, \"target\": 1}, {\"weight\": 15773, \"source\": 0, \"target\": 4}, {\"weight\": 10699, \"source\": 1, \"target\": 7}, {\"weight\": 14488, \"source\": 1, \"target\": 8}, {\"weight\": 4831, \"source\": 1, \"target\": 2}, {\"weight\": 4426, \"source\": 1, \"target\": 3}, {\"weight\": 9277, \"source\": 1, \"target\": 5}, {\"weight\": 9362, \"source\": 1, \"target\": 6}, {\"weight\": 16677, \"source\": 1, \"target\": 4}, {\"weight\": 8234, \"source\": 2, \"target\": 7}, {\"weight\": 13074, \"source\": 2, \"target\": 8}, {\"weight\": 1713, \"source\": 2, \"target\": 3}, {\"weight\": 10062, \"source\": 2, \"target\": 5}, {\"weight\": 6897, \"source\": 2, \"target\": 6}, {\"weight\": 16252, \"source\": 2, \"target\": 4}, {\"weight\": 8238, \"source\": 3, \"target\": 7}, {\"weight\": 12905, \"source\": 3, \"target\": 8}, {\"weight\": 9047, \"source\": 3, \"target\": 5}, {\"weight\": 6901, \"source\": 3, \"target\": 6}, {\"weight\": 15869, \"source\": 3, \"target\": 4}, {\"weight\": 16317, \"source\": 4, \"target\": 7}, {\"weight\": 13745, \"source\": 4, \"target\": 8}, {\"weight\": 8855, \"source\": 4, \"target\": 5}, {\"weight\": 17821, \"source\": 4, \"target\": 6}, {\"weight\": 11856, \"source\": 5, \"target\": 7}, {\"weight\": 11581, \"source\": 5, \"target\": 8}, {\"weight\": 13369, \"source\": 5, \"target\": 6}, {\"weight\": 1831, \"source\": 6, \"target\": 7}, {\"weight\": 8158, \"source\": 6, \"target\": 8}, {\"weight\": 6990, \"source\": 7, \"target\": 8}]}",
"id": 418,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, LLK, MLA, IAS, BHS, HKD, YHO, YPH, ORV\n- Travel distances (in kilometers) between each pair of airports:\nBUF to YPH: 2408\nBUF to ORV: 6168\nBUF to MLA: 7762\nBUF to IAS: 7941\nBUF to HKD: 11577\nBUF to YHO: 2509\nBUF to LLK: 9912\nBUF to BHS: 15773\nLLK to YPH: 10699\nLLK to ORV: 14488\nLLK to MLA: 4831\nLLK to IAS: 4426\nLLK to HKD: 9277\nLLK to YHO: 9362\nLLK to BHS: 16677\nMLA to YPH: 8234\nMLA to ORV: 13074\nMLA to IAS: 1713\nMLA to HKD: 10062\nMLA to YHO: 6897\nMLA to BHS: 16252\nIAS to YPH: 8238\nIAS to ORV: 12905\nIAS to HKD: 9047\nIAS to YHO: 6901\nIAS to BHS: 15869\nBHS to YPH: 16317\nBHS to ORV: 13745\nBHS to HKD: 8855\nBHS to YHO: 17821\nHKD to YPH: 11856\nHKD to ORV: 11581\nHKD to YHO: 13369\nYHO to YPH: 1831\nYHO to ORV: 8158\nYPH to ORV: 6990\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BME, EDO, OLB, SXK, HAK, SJD, FLA, FPO, TCB\n- Travel distances (in kilometers) between each pair of airports:\nBME to HAK: 5663\nBME to OLB: 13770\nBME to FPO: 18643\nBME to TCB: 18773\nBME to SJD: 16327\nBME to FLA: 19347\nBME to SXK: 3996\nBME to EDO: 12352\nEDO to HAK: 8325\nEDO to OLB: 1918\nEDO to FPO: 9979\nEDO to TCB: 10310\nEDO to SJD: 12006\nEDO to FLA: 11408\nEDO to SXK: 12294\nOLB to HAK: 9645\nOLB to FPO: 8453\nOLB to TCB: 8773\nOLB to SJD: 10537\nOLB to FLA: 9637\nOLB to SXK: 13710\nSXK to HAK: 5206\nSXK to FPO: 19031\nSXK to TCB: 19291\nSXK to SJD: 17229\nSXK to FLA: 21703\nHAK to FPO: 14751\nHAK to TCB: 15063\nHAK to SJD: 13567\nHAK to FLA: 17618\nSJD to FPO: 3322\nSJD to TCB: 3452\nSJD to FLA: 4716\nFLA to FPO: 2994\nFLA to TCB: 3124\nFPO to TCB: 438\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52293,
"style": "rule"
}
|
{
"exact_answer": 52293,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BME\", \"id\": 0}, {\"name\": \"EDO\", \"id\": 1}, {\"name\": \"OLB\", \"id\": 2}, {\"name\": \"SXK\", \"id\": 3}, {\"name\": \"HAK\", \"id\": 4}, {\"name\": \"SJD\", \"id\": 5}, {\"name\": \"FLA\", \"id\": 6}, {\"name\": \"FPO\", \"id\": 7}, {\"name\": \"TCB\", \"id\": 8}], \"links\": [{\"weight\": 5663, \"source\": 0, \"target\": 4}, {\"weight\": 13770, \"source\": 0, \"target\": 2}, {\"weight\": 18643, \"source\": 0, \"target\": 7}, {\"weight\": 18773, \"source\": 0, \"target\": 8}, {\"weight\": 16327, \"source\": 0, \"target\": 5}, {\"weight\": 19347, \"source\": 0, \"target\": 6}, {\"weight\": 3996, \"source\": 0, \"target\": 3}, {\"weight\": 12352, \"source\": 0, \"target\": 1}, {\"weight\": 8325, \"source\": 1, \"target\": 4}, {\"weight\": 1918, \"source\": 1, \"target\": 2}, {\"weight\": 9979, \"source\": 1, \"target\": 7}, {\"weight\": 10310, \"source\": 1, \"target\": 8}, {\"weight\": 12006, \"source\": 1, \"target\": 5}, {\"weight\": 11408, \"source\": 1, \"target\": 6}, {\"weight\": 12294, \"source\": 1, \"target\": 3}, {\"weight\": 9645, \"source\": 2, \"target\": 4}, {\"weight\": 8453, \"source\": 2, \"target\": 7}, {\"weight\": 8773, \"source\": 2, \"target\": 8}, {\"weight\": 10537, \"source\": 2, \"target\": 5}, {\"weight\": 9637, \"source\": 2, \"target\": 6}, {\"weight\": 13710, \"source\": 2, \"target\": 3}, {\"weight\": 5206, \"source\": 3, \"target\": 4}, {\"weight\": 19031, \"source\": 3, \"target\": 7}, {\"weight\": 19291, \"source\": 3, \"target\": 8}, {\"weight\": 17229, \"source\": 3, \"target\": 5}, {\"weight\": 21703, \"source\": 3, \"target\": 6}, {\"weight\": 14751, \"source\": 4, \"target\": 7}, {\"weight\": 15063, \"source\": 4, \"target\": 8}, {\"weight\": 13567, \"source\": 4, \"target\": 5}, {\"weight\": 17618, \"source\": 4, \"target\": 6}, {\"weight\": 3322, \"source\": 5, \"target\": 7}, {\"weight\": 3452, \"source\": 5, \"target\": 8}, {\"weight\": 4716, \"source\": 5, \"target\": 6}, {\"weight\": 2994, \"source\": 6, \"target\": 7}, {\"weight\": 3124, \"source\": 6, \"target\": 8}, {\"weight\": 438, \"source\": 7, \"target\": 8}]}",
"id": 419,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BME, EDO, OLB, SXK, HAK, SJD, FLA, FPO, TCB\n- Travel distances (in kilometers) between each pair of airports:\nBME to HAK: 5663\nBME to OLB: 13770\nBME to FPO: 18643\nBME to TCB: 18773\nBME to SJD: 16327\nBME to FLA: 19347\nBME to SXK: 3996\nBME to EDO: 12352\nEDO to HAK: 8325\nEDO to OLB: 1918\nEDO to FPO: 9979\nEDO to TCB: 10310\nEDO to SJD: 12006\nEDO to FLA: 11408\nEDO to SXK: 12294\nOLB to HAK: 9645\nOLB to FPO: 8453\nOLB to TCB: 8773\nOLB to SJD: 10537\nOLB to FLA: 9637\nOLB to SXK: 13710\nSXK to HAK: 5206\nSXK to FPO: 19031\nSXK to TCB: 19291\nSXK to SJD: 17229\nSXK to FLA: 21703\nHAK to FPO: 14751\nHAK to TCB: 15063\nHAK to SJD: 13567\nHAK to FLA: 17618\nSJD to FPO: 3322\nSJD to TCB: 3452\nSJD to FLA: 4716\nFLA to FPO: 2994\nFLA to TCB: 3124\nFPO to TCB: 438\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GTF, ACR, LFW, MLA, TER, BDA, AEY, PUY, LZC\n- Travel distances (in kilometers) between each pair of airports:\nGTF to LFW: 11464\nGTF to PUY: 9169\nGTF to ACR: 6574\nGTF to BDA: 4259\nGTF to MLA: 9952\nGTF to LZC: 3703\nGTF to AEY: 9709\nGTF to TER: 7189\nACR to LFW: 10744\nACR to PUY: 10355\nACR to BDA: 4721\nACR to MLA: 10237\nACR to LZC: 4132\nACR to AEY: 11822\nACR to TER: 8455\nLFW to PUY: 5067\nLFW to BDA: 9616\nLFW to MLA: 4112\nLFW to LZC: 12060\nLFW to AEY: 10082\nLFW to TER: 5080\nMLA to PUY: 1509\nMLA to BDA: 7602\nMLA to LZC: 11088\nMLA to AEY: 7067\nMLA to TER: 3660\nTER to PUY: 3713\nTER to BDA: 5253\nTER to LZC: 8040\nTER to AEY: 7671\nBDA to PUY: 6870\nBDA to LZC: 4098\nBDA to AEY: 8194\nAEY to PUY: 6176\nAEY to LZC: 10860\nPUY to LZC: 10550\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44395,
"style": "rule"
}
|
{
"exact_answer": 44395,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GTF\", \"id\": 0}, {\"name\": \"ACR\", \"id\": 1}, {\"name\": \"LFW\", \"id\": 2}, {\"name\": \"MLA\", \"id\": 3}, {\"name\": \"TER\", \"id\": 4}, {\"name\": \"BDA\", \"id\": 5}, {\"name\": \"AEY\", \"id\": 6}, {\"name\": \"PUY\", \"id\": 7}, {\"name\": \"LZC\", \"id\": 8}], \"links\": [{\"weight\": 11464, \"source\": 0, \"target\": 2}, {\"weight\": 9169, \"source\": 0, \"target\": 7}, {\"weight\": 6574, \"source\": 0, \"target\": 1}, {\"weight\": 4259, \"source\": 0, \"target\": 5}, {\"weight\": 9952, \"source\": 0, \"target\": 3}, {\"weight\": 3703, \"source\": 0, \"target\": 8}, {\"weight\": 9709, \"source\": 0, \"target\": 6}, {\"weight\": 7189, \"source\": 0, \"target\": 4}, {\"weight\": 10744, \"source\": 1, \"target\": 2}, {\"weight\": 10355, \"source\": 1, \"target\": 7}, {\"weight\": 4721, \"source\": 1, \"target\": 5}, {\"weight\": 10237, \"source\": 1, \"target\": 3}, {\"weight\": 4132, \"source\": 1, \"target\": 8}, {\"weight\": 11822, \"source\": 1, \"target\": 6}, {\"weight\": 8455, \"source\": 1, \"target\": 4}, {\"weight\": 5067, \"source\": 2, \"target\": 7}, {\"weight\": 9616, \"source\": 2, \"target\": 5}, {\"weight\": 4112, \"source\": 2, \"target\": 3}, {\"weight\": 12060, \"source\": 2, \"target\": 8}, {\"weight\": 10082, \"source\": 2, \"target\": 6}, {\"weight\": 5080, \"source\": 2, \"target\": 4}, {\"weight\": 1509, \"source\": 3, \"target\": 7}, {\"weight\": 7602, \"source\": 3, \"target\": 5}, {\"weight\": 11088, \"source\": 3, \"target\": 8}, {\"weight\": 7067, \"source\": 3, \"target\": 6}, {\"weight\": 3660, \"source\": 3, \"target\": 4}, {\"weight\": 3713, \"source\": 4, \"target\": 7}, {\"weight\": 5253, \"source\": 4, \"target\": 5}, {\"weight\": 8040, \"source\": 4, \"target\": 8}, {\"weight\": 7671, \"source\": 4, \"target\": 6}, {\"weight\": 6870, \"source\": 5, \"target\": 7}, {\"weight\": 4098, \"source\": 5, \"target\": 8}, {\"weight\": 8194, \"source\": 5, \"target\": 6}, {\"weight\": 6176, \"source\": 6, \"target\": 7}, {\"weight\": 10860, \"source\": 6, \"target\": 8}, {\"weight\": 10550, \"source\": 7, \"target\": 8}]}",
"id": 420,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GTF, ACR, LFW, MLA, TER, BDA, AEY, PUY, LZC\n- Travel distances (in kilometers) between each pair of airports:\nGTF to LFW: 11464\nGTF to PUY: 9169\nGTF to ACR: 6574\nGTF to BDA: 4259\nGTF to MLA: 9952\nGTF to LZC: 3703\nGTF to AEY: 9709\nGTF to TER: 7189\nACR to LFW: 10744\nACR to PUY: 10355\nACR to BDA: 4721\nACR to MLA: 10237\nACR to LZC: 4132\nACR to AEY: 11822\nACR to TER: 8455\nLFW to PUY: 5067\nLFW to BDA: 9616\nLFW to MLA: 4112\nLFW to LZC: 12060\nLFW to AEY: 10082\nLFW to TER: 5080\nMLA to PUY: 1509\nMLA to BDA: 7602\nMLA to LZC: 11088\nMLA to AEY: 7067\nMLA to TER: 3660\nTER to PUY: 3713\nTER to BDA: 5253\nTER to LZC: 8040\nTER to AEY: 7671\nBDA to PUY: 6870\nBDA to LZC: 4098\nBDA to AEY: 8194\nAEY to PUY: 6176\nAEY to LZC: 10860\nPUY to LZC: 10550\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IRA, VRA, BGF, SMX, BJI, JNN, QFG, LPL\n- Travel distances (in kilometers) between each pair of airports:\nROP to VRA: 14314\nROP to BGF: 15670\nROP to LPL: 12108\nROP to BJI: 12345\nROP to SMX: 10522\nROP to JNN: 14682\nROP to QFG: 14616\nROP to IRA: 5949\nIRA to VRA: 15225\nIRA to BGF: 18077\nIRA to LPL: 16380\nIRA to BJI: 14003\nIRA to SMX: 11431\nIRA to JNN: 18954\nIRA to QFG: 18888\nVRA to BGF: 12470\nVRA to LPL: 7749\nVRA to BJI: 3637\nVRA to SMX: 4224\nVRA to JNN: 8470\nVRA to QFG: 8404\nBGF to LPL: 5795\nBGF to BJI: 11724\nBGF to SMX: 13972\nBGF to JNN: 9424\nBGF to QFG: 9358\nSMX to LPL: 8980\nSMX to BJI: 2904\nSMX to JNN: 9231\nSMX to QFG: 9165\nBJI to LPL: 6895\nBJI to JNN: 7577\nBJI to QFG: 7511\nJNN to LPL: 3755\nJNN to QFG: 88\nQFG to LPL: 3689\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57633,
"style": "rule"
}
|
{
"exact_answer": 57633,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROP\", \"id\": 0}, {\"name\": \"IRA\", \"id\": 1}, {\"name\": \"VRA\", \"id\": 2}, {\"name\": \"BGF\", \"id\": 3}, {\"name\": \"SMX\", \"id\": 4}, {\"name\": \"BJI\", \"id\": 5}, {\"name\": \"JNN\", \"id\": 6}, {\"name\": \"QFG\", \"id\": 7}, {\"name\": \"LPL\", \"id\": 8}], \"links\": [{\"weight\": 14314, \"source\": 0, \"target\": 2}, {\"weight\": 15670, \"source\": 0, \"target\": 3}, {\"weight\": 12108, \"source\": 0, \"target\": 8}, {\"weight\": 12345, \"source\": 0, \"target\": 5}, {\"weight\": 10522, \"source\": 0, \"target\": 4}, {\"weight\": 14682, \"source\": 0, \"target\": 6}, {\"weight\": 14616, \"source\": 0, \"target\": 7}, {\"weight\": 5949, \"source\": 0, \"target\": 1}, {\"weight\": 15225, \"source\": 1, \"target\": 2}, {\"weight\": 18077, \"source\": 1, \"target\": 3}, {\"weight\": 16380, \"source\": 1, \"target\": 8}, {\"weight\": 14003, \"source\": 1, \"target\": 5}, {\"weight\": 11431, \"source\": 1, \"target\": 4}, {\"weight\": 18954, \"source\": 1, \"target\": 6}, {\"weight\": 18888, \"source\": 1, \"target\": 7}, {\"weight\": 12470, \"source\": 2, \"target\": 3}, {\"weight\": 7749, \"source\": 2, \"target\": 8}, {\"weight\": 3637, \"source\": 2, \"target\": 5}, {\"weight\": 4224, \"source\": 2, \"target\": 4}, {\"weight\": 8470, \"source\": 2, \"target\": 6}, {\"weight\": 8404, \"source\": 2, \"target\": 7}, {\"weight\": 5795, \"source\": 3, \"target\": 8}, {\"weight\": 11724, \"source\": 3, \"target\": 5}, {\"weight\": 13972, \"source\": 3, \"target\": 4}, {\"weight\": 9424, \"source\": 3, \"target\": 6}, {\"weight\": 9358, \"source\": 3, \"target\": 7}, {\"weight\": 8980, \"source\": 4, \"target\": 8}, {\"weight\": 2904, \"source\": 4, \"target\": 5}, {\"weight\": 9231, \"source\": 4, \"target\": 6}, {\"weight\": 9165, \"source\": 4, \"target\": 7}, {\"weight\": 6895, \"source\": 5, \"target\": 8}, {\"weight\": 7577, \"source\": 5, \"target\": 6}, {\"weight\": 7511, \"source\": 5, \"target\": 7}, {\"weight\": 3755, \"source\": 6, \"target\": 8}, {\"weight\": 88, \"source\": 6, \"target\": 7}, {\"weight\": 3689, \"source\": 7, \"target\": 8}]}",
"id": 421,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, IRA, VRA, BGF, SMX, BJI, JNN, QFG, LPL\n- Travel distances (in kilometers) between each pair of airports:\nROP to VRA: 14314\nROP to BGF: 15670\nROP to LPL: 12108\nROP to BJI: 12345\nROP to SMX: 10522\nROP to JNN: 14682\nROP to QFG: 14616\nROP to IRA: 5949\nIRA to VRA: 15225\nIRA to BGF: 18077\nIRA to LPL: 16380\nIRA to BJI: 14003\nIRA to SMX: 11431\nIRA to JNN: 18954\nIRA to QFG: 18888\nVRA to BGF: 12470\nVRA to LPL: 7749\nVRA to BJI: 3637\nVRA to SMX: 4224\nVRA to JNN: 8470\nVRA to QFG: 8404\nBGF to LPL: 5795\nBGF to BJI: 11724\nBGF to SMX: 13972\nBGF to JNN: 9424\nBGF to QFG: 9358\nSMX to LPL: 8980\nSMX to BJI: 2904\nSMX to JNN: 9231\nSMX to QFG: 9165\nBJI to LPL: 6895\nBJI to JNN: 7577\nBJI to QFG: 7511\nJNN to LPL: 3755\nJNN to QFG: 88\nQFG to LPL: 3689\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAG, KGE, PHO, MDG, NTX, KPR, PKB, LOH, GPT\n- Travel distances (in kilometers) between each pair of airports:\nPAG to KPR: 14038\nPAG to PHO: 14659\nPAG to GPT: 14684\nPAG to MDG: 4137\nPAG to LOH: 18255\nPAG to KGE: 5425\nPAG to NTX: 3554\nPAG to PKB: 14216\nKGE to KPR: 12529\nKGE to PHO: 13150\nKGE to GPT: 14127\nKGE to MDG: 8926\nKGE to LOH: 17295\nKGE to NTX: 7493\nKGE to PKB: 14869\nPHO to KPR: 1619\nPHO to GPT: 6818\nPHO to MDG: 12239\nPHO to LOH: 10539\nPHO to NTX: 17377\nPHO to PKB: 6392\nMDG to KPR: 11618\nMDG to GPT: 12212\nMDG to LOH: 15928\nMDG to NTX: 6443\nMDG to PKB: 11868\nNTX to KPR: 16756\nNTX to GPT: 17438\nNTX to LOH: 20956\nNTX to PKB: 16474\nKPR to GPT: 6197\nKPR to LOH: 9918\nKPR to PKB: 5771\nPKB to GPT: 1690\nPKB to LOH: 5294\nLOH to GPT: 4773\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58003,
"style": "rule"
}
|
{
"exact_answer": 58003,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAG\", \"id\": 0}, {\"name\": \"KGE\", \"id\": 1}, {\"name\": \"PHO\", \"id\": 2}, {\"name\": \"MDG\", \"id\": 3}, {\"name\": \"NTX\", \"id\": 4}, {\"name\": \"KPR\", \"id\": 5}, {\"name\": \"PKB\", \"id\": 6}, {\"name\": \"LOH\", \"id\": 7}, {\"name\": \"GPT\", \"id\": 8}], \"links\": [{\"weight\": 14038, \"source\": 0, \"target\": 5}, {\"weight\": 14659, \"source\": 0, \"target\": 2}, {\"weight\": 14684, \"source\": 0, \"target\": 8}, {\"weight\": 4137, \"source\": 0, \"target\": 3}, {\"weight\": 18255, \"source\": 0, \"target\": 7}, {\"weight\": 5425, \"source\": 0, \"target\": 1}, {\"weight\": 3554, \"source\": 0, \"target\": 4}, {\"weight\": 14216, \"source\": 0, \"target\": 6}, {\"weight\": 12529, \"source\": 1, \"target\": 5}, {\"weight\": 13150, \"source\": 1, \"target\": 2}, {\"weight\": 14127, \"source\": 1, \"target\": 8}, {\"weight\": 8926, \"source\": 1, \"target\": 3}, {\"weight\": 17295, \"source\": 1, \"target\": 7}, {\"weight\": 7493, \"source\": 1, \"target\": 4}, {\"weight\": 14869, \"source\": 1, \"target\": 6}, {\"weight\": 1619, \"source\": 2, \"target\": 5}, {\"weight\": 6818, \"source\": 2, \"target\": 8}, {\"weight\": 12239, \"source\": 2, \"target\": 3}, {\"weight\": 10539, \"source\": 2, \"target\": 7}, {\"weight\": 17377, \"source\": 2, \"target\": 4}, {\"weight\": 6392, \"source\": 2, \"target\": 6}, {\"weight\": 11618, \"source\": 3, \"target\": 5}, {\"weight\": 12212, \"source\": 3, \"target\": 8}, {\"weight\": 15928, \"source\": 3, \"target\": 7}, {\"weight\": 6443, \"source\": 3, \"target\": 4}, {\"weight\": 11868, \"source\": 3, \"target\": 6}, {\"weight\": 16756, \"source\": 4, \"target\": 5}, {\"weight\": 17438, \"source\": 4, \"target\": 8}, {\"weight\": 20956, \"source\": 4, \"target\": 7}, {\"weight\": 16474, \"source\": 4, \"target\": 6}, {\"weight\": 6197, \"source\": 5, \"target\": 8}, {\"weight\": 9918, \"source\": 5, \"target\": 7}, {\"weight\": 5771, \"source\": 5, \"target\": 6}, {\"weight\": 1690, \"source\": 6, \"target\": 8}, {\"weight\": 5294, \"source\": 6, \"target\": 7}, {\"weight\": 4773, \"source\": 7, \"target\": 8}]}",
"id": 422,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAG, KGE, PHO, MDG, NTX, KPR, PKB, LOH, GPT\n- Travel distances (in kilometers) between each pair of airports:\nPAG to KPR: 14038\nPAG to PHO: 14659\nPAG to GPT: 14684\nPAG to MDG: 4137\nPAG to LOH: 18255\nPAG to KGE: 5425\nPAG to NTX: 3554\nPAG to PKB: 14216\nKGE to KPR: 12529\nKGE to PHO: 13150\nKGE to GPT: 14127\nKGE to MDG: 8926\nKGE to LOH: 17295\nKGE to NTX: 7493\nKGE to PKB: 14869\nPHO to KPR: 1619\nPHO to GPT: 6818\nPHO to MDG: 12239\nPHO to LOH: 10539\nPHO to NTX: 17377\nPHO to PKB: 6392\nMDG to KPR: 11618\nMDG to GPT: 12212\nMDG to LOH: 15928\nMDG to NTX: 6443\nMDG to PKB: 11868\nNTX to KPR: 16756\nNTX to GPT: 17438\nNTX to LOH: 20956\nNTX to PKB: 16474\nKPR to GPT: 6197\nKPR to LOH: 9918\nKPR to PKB: 5771\nPKB to GPT: 1690\nPKB to LOH: 5294\nLOH to GPT: 4773\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYK, LDS, NAY, MSS, VXC, SAV, OMD, MQM, TNK\n- Travel distances (in kilometers) between each pair of airports:\nEYK to TNK: 14188\nEYK to MSS: 9588\nEYK to SAV: 10512\nEYK to LDS: 5343\nEYK to NAY: 5320\nEYK to MQM: 4342\nEYK to OMD: 11588\nEYK to VXC: 9757\nLDS to TNK: 12736\nLDS to MSS: 12757\nLDS to SAV: 12975\nLDS to NAY: 1332\nLDS to MQM: 8400\nLDS to OMD: 14427\nLDS to VXC: 12433\nNAY to TNK: 12078\nNAY to MSS: 11955\nNAY to SAV: 12284\nNAY to MQM: 7669\nNAY to OMD: 13226\nNAY to VXC: 11330\nMSS to TNK: 6698\nMSS to SAV: 1605\nMSS to MQM: 9307\nMSS to OMD: 13082\nMSS to VXC: 14550\nVXC to TNK: 19698\nVXC to SAV: 15308\nVXC to MQM: 7481\nVXC to OMD: 3455\nSAV to TNK: 6640\nSAV to MQM: 10268\nSAV to OMD: 13726\nOMD to TNK: 19091\nOMD to MQM: 9190\nMQM to TNK: 14200\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55358,
"style": "rule"
}
|
{
"exact_answer": 55358,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EYK\", \"id\": 0}, {\"name\": \"LDS\", \"id\": 1}, {\"name\": \"NAY\", \"id\": 2}, {\"name\": \"MSS\", \"id\": 3}, {\"name\": \"VXC\", \"id\": 4}, {\"name\": \"SAV\", \"id\": 5}, {\"name\": \"OMD\", \"id\": 6}, {\"name\": \"MQM\", \"id\": 7}, {\"name\": \"TNK\", \"id\": 8}], \"links\": [{\"weight\": 14188, \"source\": 0, \"target\": 8}, {\"weight\": 9588, \"source\": 0, \"target\": 3}, {\"weight\": 10512, \"source\": 0, \"target\": 5}, {\"weight\": 5343, \"source\": 0, \"target\": 1}, {\"weight\": 5320, \"source\": 0, \"target\": 2}, {\"weight\": 4342, \"source\": 0, \"target\": 7}, {\"weight\": 11588, \"source\": 0, \"target\": 6}, {\"weight\": 9757, \"source\": 0, \"target\": 4}, {\"weight\": 12736, \"source\": 1, \"target\": 8}, {\"weight\": 12757, \"source\": 1, \"target\": 3}, {\"weight\": 12975, \"source\": 1, \"target\": 5}, {\"weight\": 1332, \"source\": 1, \"target\": 2}, {\"weight\": 8400, \"source\": 1, \"target\": 7}, {\"weight\": 14427, \"source\": 1, \"target\": 6}, {\"weight\": 12433, \"source\": 1, \"target\": 4}, {\"weight\": 12078, \"source\": 2, \"target\": 8}, {\"weight\": 11955, \"source\": 2, \"target\": 3}, {\"weight\": 12284, \"source\": 2, \"target\": 5}, {\"weight\": 7669, \"source\": 2, \"target\": 7}, {\"weight\": 13226, \"source\": 2, \"target\": 6}, {\"weight\": 11330, \"source\": 2, \"target\": 4}, {\"weight\": 6698, \"source\": 3, \"target\": 8}, {\"weight\": 1605, \"source\": 3, \"target\": 5}, {\"weight\": 9307, \"source\": 3, \"target\": 7}, {\"weight\": 13082, \"source\": 3, \"target\": 6}, {\"weight\": 14550, \"source\": 3, \"target\": 4}, {\"weight\": 19698, \"source\": 4, \"target\": 8}, {\"weight\": 15308, \"source\": 4, \"target\": 5}, {\"weight\": 7481, \"source\": 4, \"target\": 7}, {\"weight\": 3455, \"source\": 4, \"target\": 6}, {\"weight\": 6640, \"source\": 5, \"target\": 8}, {\"weight\": 10268, \"source\": 5, \"target\": 7}, {\"weight\": 13726, \"source\": 5, \"target\": 6}, {\"weight\": 19091, \"source\": 6, \"target\": 8}, {\"weight\": 9190, \"source\": 6, \"target\": 7}, {\"weight\": 14200, \"source\": 7, \"target\": 8}]}",
"id": 423,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EYK, LDS, NAY, MSS, VXC, SAV, OMD, MQM, TNK\n- Travel distances (in kilometers) between each pair of airports:\nEYK to TNK: 14188\nEYK to MSS: 9588\nEYK to SAV: 10512\nEYK to LDS: 5343\nEYK to NAY: 5320\nEYK to MQM: 4342\nEYK to OMD: 11588\nEYK to VXC: 9757\nLDS to TNK: 12736\nLDS to MSS: 12757\nLDS to SAV: 12975\nLDS to NAY: 1332\nLDS to MQM: 8400\nLDS to OMD: 14427\nLDS to VXC: 12433\nNAY to TNK: 12078\nNAY to MSS: 11955\nNAY to SAV: 12284\nNAY to MQM: 7669\nNAY to OMD: 13226\nNAY to VXC: 11330\nMSS to TNK: 6698\nMSS to SAV: 1605\nMSS to MQM: 9307\nMSS to OMD: 13082\nMSS to VXC: 14550\nVXC to TNK: 19698\nVXC to SAV: 15308\nVXC to MQM: 7481\nVXC to OMD: 3455\nSAV to TNK: 6640\nSAV to MQM: 10268\nSAV to OMD: 13726\nOMD to TNK: 19091\nOMD to MQM: 9190\nMQM to TNK: 14200\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, VDA, CHX, HOV, SBW, OGD, CYO, SLH, OUZ\n- Travel distances (in kilometers) between each pair of airports:\nCAG to CHX: 9841\nCAG to SBW: 11215\nCAG to CYO: 8722\nCAG to OGD: 10907\nCAG to OUZ: 3193\nCAG to SLH: 17883\nCAG to VDA: 4670\nCAG to HOV: 2573\nVDA to CHX: 12718\nVDA to SBW: 15037\nVDA to CYO: 11372\nVDA to OGD: 13143\nVDA to OUZ: 6656\nVDA to SLH: 21124\nVDA to HOV: 4941\nCHX to SBW: 18067\nCHX to CYO: 2309\nCHX to OGD: 5884\nCHX to OUZ: 9201\nCHX to SLH: 14953\nCHX to HOV: 9632\nHOV to SBW: 11196\nHOV to CYO: 8312\nHOV to OGD: 9741\nHOV to OUZ: 4622\nHOV to SLH: 16900\nSBW to CYO: 17375\nSBW to OGD: 14902\nSBW to OUZ: 14042\nSBW to SLH: 8227\nOGD to CYO: 5115\nOGD to OUZ: 11217\nOGD to SLH: 12015\nCYO to OUZ: 9302\nCYO to SLH: 14405\nSLH to OUZ: 20740\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60867,
"style": "rule"
}
|
{
"exact_answer": 60867,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAG\", \"id\": 0}, {\"name\": \"VDA\", \"id\": 1}, {\"name\": \"CHX\", \"id\": 2}, {\"name\": \"HOV\", \"id\": 3}, {\"name\": \"SBW\", \"id\": 4}, {\"name\": \"OGD\", \"id\": 5}, {\"name\": \"CYO\", \"id\": 6}, {\"name\": \"SLH\", \"id\": 7}, {\"name\": \"OUZ\", \"id\": 8}], \"links\": [{\"weight\": 9841, \"source\": 0, \"target\": 2}, {\"weight\": 11215, \"source\": 0, \"target\": 4}, {\"weight\": 8722, \"source\": 0, \"target\": 6}, {\"weight\": 10907, \"source\": 0, \"target\": 5}, {\"weight\": 3193, \"source\": 0, \"target\": 8}, {\"weight\": 17883, \"source\": 0, \"target\": 7}, {\"weight\": 4670, \"source\": 0, \"target\": 1}, {\"weight\": 2573, \"source\": 0, \"target\": 3}, {\"weight\": 12718, \"source\": 1, \"target\": 2}, {\"weight\": 15037, \"source\": 1, \"target\": 4}, {\"weight\": 11372, \"source\": 1, \"target\": 6}, {\"weight\": 13143, \"source\": 1, \"target\": 5}, {\"weight\": 6656, \"source\": 1, \"target\": 8}, {\"weight\": 21124, \"source\": 1, \"target\": 7}, {\"weight\": 4941, \"source\": 1, \"target\": 3}, {\"weight\": 18067, \"source\": 2, \"target\": 4}, {\"weight\": 2309, \"source\": 2, \"target\": 6}, {\"weight\": 5884, \"source\": 2, \"target\": 5}, {\"weight\": 9201, \"source\": 2, \"target\": 8}, {\"weight\": 14953, \"source\": 2, \"target\": 7}, {\"weight\": 9632, \"source\": 2, \"target\": 3}, {\"weight\": 11196, \"source\": 3, \"target\": 4}, {\"weight\": 8312, \"source\": 3, \"target\": 6}, {\"weight\": 9741, \"source\": 3, \"target\": 5}, {\"weight\": 4622, \"source\": 3, \"target\": 8}, {\"weight\": 16900, \"source\": 3, \"target\": 7}, {\"weight\": 17375, \"source\": 4, \"target\": 6}, {\"weight\": 14902, \"source\": 4, \"target\": 5}, {\"weight\": 14042, \"source\": 4, \"target\": 8}, {\"weight\": 8227, \"source\": 4, \"target\": 7}, {\"weight\": 5115, \"source\": 5, \"target\": 6}, {\"weight\": 11217, \"source\": 5, \"target\": 8}, {\"weight\": 12015, \"source\": 5, \"target\": 7}, {\"weight\": 9302, \"source\": 6, \"target\": 8}, {\"weight\": 14405, \"source\": 6, \"target\": 7}, {\"weight\": 20740, \"source\": 7, \"target\": 8}]}",
"id": 424,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, VDA, CHX, HOV, SBW, OGD, CYO, SLH, OUZ\n- Travel distances (in kilometers) between each pair of airports:\nCAG to CHX: 9841\nCAG to SBW: 11215\nCAG to CYO: 8722\nCAG to OGD: 10907\nCAG to OUZ: 3193\nCAG to SLH: 17883\nCAG to VDA: 4670\nCAG to HOV: 2573\nVDA to CHX: 12718\nVDA to SBW: 15037\nVDA to CYO: 11372\nVDA to OGD: 13143\nVDA to OUZ: 6656\nVDA to SLH: 21124\nVDA to HOV: 4941\nCHX to SBW: 18067\nCHX to CYO: 2309\nCHX to OGD: 5884\nCHX to OUZ: 9201\nCHX to SLH: 14953\nCHX to HOV: 9632\nHOV to SBW: 11196\nHOV to CYO: 8312\nHOV to OGD: 9741\nHOV to OUZ: 4622\nHOV to SLH: 16900\nSBW to CYO: 17375\nSBW to OGD: 14902\nSBW to OUZ: 14042\nSBW to SLH: 8227\nOGD to CYO: 5115\nOGD to OUZ: 11217\nOGD to SLH: 12015\nCYO to OUZ: 9302\nCYO to SLH: 14405\nSLH to OUZ: 20740\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DGA, HAM, ORK, BLK, BMV, BKK, YER, SXI, HNM\n- Travel distances (in kilometers) between each pair of airports:\nDGA to BKK: 16477\nDGA to HAM: 9069\nDGA to BMV: 16305\nDGA to ORK: 8606\nDGA to BLK: 8218\nDGA to HNM: 7589\nDGA to SXI: 13828\nDGA to YER: 4917\nHAM to BKK: 8869\nHAM to BMV: 9476\nHAM to ORK: 1258\nHAM to BLK: 1094\nHAM to HNM: 12351\nHAM to SXI: 4927\nHAM to YER: 8215\nORK to BKK: 10082\nORK to BMV: 10696\nORK to BLK: 668\nORK to HNM: 11943\nORK to SXI: 6001\nORK to YER: 7698\nBLK to BKK: 9870\nBLK to BMV: 10484\nBLK to HNM: 11798\nBLK to SXI: 5915\nBLK to YER: 7371\nBMV to BKK: 975\nBMV to HNM: 10443\nBMV to SXI: 6870\nBMV to YER: 14482\nBKK to HNM: 10838\nBKK to SXI: 5895\nBKK to YER: 14774\nYER to HNM: 7311\nYER to SXI: 13032\nSXI to HNM: 14721\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44043,
"style": "rule"
}
|
{
"exact_answer": 44043,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DGA\", \"id\": 0}, {\"name\": \"HAM\", \"id\": 1}, {\"name\": \"ORK\", \"id\": 2}, {\"name\": \"BLK\", \"id\": 3}, {\"name\": \"BMV\", \"id\": 4}, {\"name\": \"BKK\", \"id\": 5}, {\"name\": \"YER\", \"id\": 6}, {\"name\": \"SXI\", \"id\": 7}, {\"name\": \"HNM\", \"id\": 8}], \"links\": [{\"weight\": 16477, \"source\": 0, \"target\": 5}, {\"weight\": 9069, \"source\": 0, \"target\": 1}, {\"weight\": 16305, \"source\": 0, \"target\": 4}, {\"weight\": 8606, \"source\": 0, \"target\": 2}, {\"weight\": 8218, \"source\": 0, \"target\": 3}, {\"weight\": 7589, \"source\": 0, \"target\": 8}, {\"weight\": 13828, \"source\": 0, \"target\": 7}, {\"weight\": 4917, \"source\": 0, \"target\": 6}, {\"weight\": 8869, \"source\": 1, \"target\": 5}, {\"weight\": 9476, \"source\": 1, \"target\": 4}, {\"weight\": 1258, \"source\": 1, \"target\": 2}, {\"weight\": 1094, \"source\": 1, \"target\": 3}, {\"weight\": 12351, \"source\": 1, \"target\": 8}, {\"weight\": 4927, \"source\": 1, \"target\": 7}, {\"weight\": 8215, \"source\": 1, \"target\": 6}, {\"weight\": 10082, \"source\": 2, \"target\": 5}, {\"weight\": 10696, \"source\": 2, \"target\": 4}, {\"weight\": 668, \"source\": 2, \"target\": 3}, {\"weight\": 11943, \"source\": 2, \"target\": 8}, {\"weight\": 6001, \"source\": 2, \"target\": 7}, {\"weight\": 7698, \"source\": 2, \"target\": 6}, {\"weight\": 9870, \"source\": 3, \"target\": 5}, {\"weight\": 10484, \"source\": 3, \"target\": 4}, {\"weight\": 11798, \"source\": 3, \"target\": 8}, {\"weight\": 5915, \"source\": 3, \"target\": 7}, {\"weight\": 7371, \"source\": 3, \"target\": 6}, {\"weight\": 975, \"source\": 4, \"target\": 5}, {\"weight\": 10443, \"source\": 4, \"target\": 8}, {\"weight\": 6870, \"source\": 4, \"target\": 7}, {\"weight\": 14482, \"source\": 4, \"target\": 6}, {\"weight\": 10838, \"source\": 5, \"target\": 8}, {\"weight\": 5895, \"source\": 5, \"target\": 7}, {\"weight\": 14774, \"source\": 5, \"target\": 6}, {\"weight\": 7311, \"source\": 6, \"target\": 8}, {\"weight\": 13032, \"source\": 6, \"target\": 7}, {\"weight\": 14721, \"source\": 7, \"target\": 8}]}",
"id": 425,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DGA, HAM, ORK, BLK, BMV, BKK, YER, SXI, HNM\n- Travel distances (in kilometers) between each pair of airports:\nDGA to BKK: 16477\nDGA to HAM: 9069\nDGA to BMV: 16305\nDGA to ORK: 8606\nDGA to BLK: 8218\nDGA to HNM: 7589\nDGA to SXI: 13828\nDGA to YER: 4917\nHAM to BKK: 8869\nHAM to BMV: 9476\nHAM to ORK: 1258\nHAM to BLK: 1094\nHAM to HNM: 12351\nHAM to SXI: 4927\nHAM to YER: 8215\nORK to BKK: 10082\nORK to BMV: 10696\nORK to BLK: 668\nORK to HNM: 11943\nORK to SXI: 6001\nORK to YER: 7698\nBLK to BKK: 9870\nBLK to BMV: 10484\nBLK to HNM: 11798\nBLK to SXI: 5915\nBLK to YER: 7371\nBMV to BKK: 975\nBMV to HNM: 10443\nBMV to SXI: 6870\nBMV to YER: 14482\nBKK to HNM: 10838\nBKK to SXI: 5895\nBKK to YER: 14774\nYER to HNM: 7311\nYER to SXI: 13032\nSXI to HNM: 14721\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IOA, GBB, LLK, INV, VQS, YKQ, USM, TKP, GCM\n- Travel distances (in kilometers) between each pair of airports:\nIOA to VQS: 9430\nIOA to GCM: 10479\nIOA to INV: 3321\nIOA to USM: 8739\nIOA to GBB: 4314\nIOA to LLK: 4562\nIOA to TKP: 18708\nIOA to YKQ: 8764\nGBB to VQS: 11161\nGBB to GCM: 11789\nGBB to INV: 4545\nGBB to USM: 9298\nGBB to LLK: 3798\nGBB to TKP: 19216\nGBB to YKQ: 10244\nLLK to VQS: 11409\nLLK to GCM: 12037\nLLK to INV: 4793\nLLK to USM: 9546\nLLK to TKP: 19464\nLLK to YKQ: 10492\nINV to VQS: 7572\nINV to GCM: 7900\nINV to USM: 10262\nINV to TKP: 15916\nINV to YKQ: 6534\nVQS to GCM: 1690\nVQS to USM: 16874\nVQS to TKP: 12746\nVQS to YKQ: 3958\nYKQ to GCM: 3712\nYKQ to USM: 15338\nYKQ to TKP: 11352\nUSM to GCM: 16940\nUSM to TKP: 13865\nTKP to GCM: 11299\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58325,
"style": "rule"
}
|
{
"exact_answer": 58325,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IOA\", \"id\": 0}, {\"name\": \"GBB\", \"id\": 1}, {\"name\": \"LLK\", \"id\": 2}, {\"name\": \"INV\", \"id\": 3}, {\"name\": \"VQS\", \"id\": 4}, {\"name\": \"YKQ\", \"id\": 5}, {\"name\": \"USM\", \"id\": 6}, {\"name\": \"TKP\", \"id\": 7}, {\"name\": \"GCM\", \"id\": 8}], \"links\": [{\"weight\": 9430, \"source\": 0, \"target\": 4}, {\"weight\": 10479, \"source\": 0, \"target\": 8}, {\"weight\": 3321, \"source\": 0, \"target\": 3}, {\"weight\": 8739, \"source\": 0, \"target\": 6}, {\"weight\": 4314, \"source\": 0, \"target\": 1}, {\"weight\": 4562, \"source\": 0, \"target\": 2}, {\"weight\": 18708, \"source\": 0, \"target\": 7}, {\"weight\": 8764, \"source\": 0, \"target\": 5}, {\"weight\": 11161, \"source\": 1, \"target\": 4}, {\"weight\": 11789, \"source\": 1, \"target\": 8}, {\"weight\": 4545, \"source\": 1, \"target\": 3}, {\"weight\": 9298, \"source\": 1, \"target\": 6}, {\"weight\": 3798, \"source\": 1, \"target\": 2}, {\"weight\": 19216, \"source\": 1, \"target\": 7}, {\"weight\": 10244, \"source\": 1, \"target\": 5}, {\"weight\": 11409, \"source\": 2, \"target\": 4}, {\"weight\": 12037, \"source\": 2, \"target\": 8}, {\"weight\": 4793, \"source\": 2, \"target\": 3}, {\"weight\": 9546, \"source\": 2, \"target\": 6}, {\"weight\": 19464, \"source\": 2, \"target\": 7}, {\"weight\": 10492, \"source\": 2, \"target\": 5}, {\"weight\": 7572, \"source\": 3, \"target\": 4}, {\"weight\": 7900, \"source\": 3, \"target\": 8}, {\"weight\": 10262, \"source\": 3, \"target\": 6}, {\"weight\": 15916, \"source\": 3, \"target\": 7}, {\"weight\": 6534, \"source\": 3, \"target\": 5}, {\"weight\": 1690, \"source\": 4, \"target\": 8}, {\"weight\": 16874, \"source\": 4, \"target\": 6}, {\"weight\": 12746, \"source\": 4, \"target\": 7}, {\"weight\": 3958, \"source\": 4, \"target\": 5}, {\"weight\": 3712, \"source\": 5, \"target\": 8}, {\"weight\": 15338, \"source\": 5, \"target\": 6}, {\"weight\": 11352, \"source\": 5, \"target\": 7}, {\"weight\": 16940, \"source\": 6, \"target\": 8}, {\"weight\": 13865, \"source\": 6, \"target\": 7}, {\"weight\": 11299, \"source\": 7, \"target\": 8}]}",
"id": 426,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IOA, GBB, LLK, INV, VQS, YKQ, USM, TKP, GCM\n- Travel distances (in kilometers) between each pair of airports:\nIOA to VQS: 9430\nIOA to GCM: 10479\nIOA to INV: 3321\nIOA to USM: 8739\nIOA to GBB: 4314\nIOA to LLK: 4562\nIOA to TKP: 18708\nIOA to YKQ: 8764\nGBB to VQS: 11161\nGBB to GCM: 11789\nGBB to INV: 4545\nGBB to USM: 9298\nGBB to LLK: 3798\nGBB to TKP: 19216\nGBB to YKQ: 10244\nLLK to VQS: 11409\nLLK to GCM: 12037\nLLK to INV: 4793\nLLK to USM: 9546\nLLK to TKP: 19464\nLLK to YKQ: 10492\nINV to VQS: 7572\nINV to GCM: 7900\nINV to USM: 10262\nINV to TKP: 15916\nINV to YKQ: 6534\nVQS to GCM: 1690\nVQS to USM: 16874\nVQS to TKP: 12746\nVQS to YKQ: 3958\nYKQ to GCM: 3712\nYKQ to USM: 15338\nYKQ to TKP: 11352\nUSM to GCM: 16940\nUSM to TKP: 13865\nTKP to GCM: 11299\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YPY, PEK, BOB, KGP, SSH, HIA, GYA, XEQ, STS\n- Travel distances (in kilometers) between each pair of airports:\nYPY to PEK: 9877\nYPY to HIA: 10620\nYPY to GYA: 10417\nYPY to STS: 2527\nYPY to XEQ: 7580\nYPY to SSH: 11228\nYPY to BOB: 9688\nYPY to KGP: 11071\nPEK to HIA: 764\nPEK to GYA: 18215\nPEK to STS: 9673\nPEK to XEQ: 10775\nPEK to SSH: 7579\nPEK to BOB: 11836\nPEK to KGP: 5345\nBOB to HIA: 12039\nBOB to GYA: 11025\nBOB to STS: 7512\nBOB to XEQ: 16000\nBOB to SSH: 19382\nBOB to KGP: 16847\nKGP to HIA: 6109\nKGP to GYA: 15839\nKGP to STS: 12319\nKGP to XEQ: 7537\nKGP to SSH: 4794\nSSH to HIA: 8228\nSSH to GYA: 13593\nSSH to STS: 12476\nSSH to XEQ: 7694\nHIA to GYA: 18979\nHIA to STS: 10425\nHIA to XEQ: 11539\nGYA to STS: 9290\nGYA to XEQ: 13453\nXEQ to STS: 8828\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61058,
"style": "rule"
}
|
{
"exact_answer": 61058,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YPY\", \"id\": 0}, {\"name\": \"PEK\", \"id\": 1}, {\"name\": \"BOB\", \"id\": 2}, {\"name\": \"KGP\", \"id\": 3}, {\"name\": \"SSH\", \"id\": 4}, {\"name\": \"HIA\", \"id\": 5}, {\"name\": \"GYA\", \"id\": 6}, {\"name\": \"XEQ\", \"id\": 7}, {\"name\": \"STS\", \"id\": 8}], \"links\": [{\"weight\": 9877, \"source\": 0, \"target\": 1}, {\"weight\": 10620, \"source\": 0, \"target\": 5}, {\"weight\": 10417, \"source\": 0, \"target\": 6}, {\"weight\": 2527, \"source\": 0, \"target\": 8}, {\"weight\": 7580, \"source\": 0, \"target\": 7}, {\"weight\": 11228, \"source\": 0, \"target\": 4}, {\"weight\": 9688, \"source\": 0, \"target\": 2}, {\"weight\": 11071, \"source\": 0, \"target\": 3}, {\"weight\": 764, \"source\": 1, \"target\": 5}, {\"weight\": 18215, \"source\": 1, \"target\": 6}, {\"weight\": 9673, \"source\": 1, \"target\": 8}, {\"weight\": 10775, \"source\": 1, \"target\": 7}, {\"weight\": 7579, \"source\": 1, \"target\": 4}, {\"weight\": 11836, \"source\": 1, \"target\": 2}, {\"weight\": 5345, \"source\": 1, \"target\": 3}, {\"weight\": 12039, \"source\": 2, \"target\": 5}, {\"weight\": 11025, \"source\": 2, \"target\": 6}, {\"weight\": 7512, \"source\": 2, \"target\": 8}, {\"weight\": 16000, \"source\": 2, \"target\": 7}, {\"weight\": 19382, \"source\": 2, \"target\": 4}, {\"weight\": 16847, \"source\": 2, \"target\": 3}, {\"weight\": 6109, \"source\": 3, \"target\": 5}, {\"weight\": 15839, \"source\": 3, \"target\": 6}, {\"weight\": 12319, \"source\": 3, \"target\": 8}, {\"weight\": 7537, \"source\": 3, \"target\": 7}, {\"weight\": 4794, \"source\": 3, \"target\": 4}, {\"weight\": 8228, \"source\": 4, \"target\": 5}, {\"weight\": 13593, \"source\": 4, \"target\": 6}, {\"weight\": 12476, \"source\": 4, \"target\": 8}, {\"weight\": 7694, \"source\": 4, \"target\": 7}, {\"weight\": 18979, \"source\": 5, \"target\": 6}, {\"weight\": 10425, \"source\": 5, \"target\": 8}, {\"weight\": 11539, \"source\": 5, \"target\": 7}, {\"weight\": 9290, \"source\": 6, \"target\": 8}, {\"weight\": 13453, \"source\": 6, \"target\": 7}, {\"weight\": 8828, \"source\": 7, \"target\": 8}]}",
"id": 427,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YPY, PEK, BOB, KGP, SSH, HIA, GYA, XEQ, STS\n- Travel distances (in kilometers) between each pair of airports:\nYPY to PEK: 9877\nYPY to HIA: 10620\nYPY to GYA: 10417\nYPY to STS: 2527\nYPY to XEQ: 7580\nYPY to SSH: 11228\nYPY to BOB: 9688\nYPY to KGP: 11071\nPEK to HIA: 764\nPEK to GYA: 18215\nPEK to STS: 9673\nPEK to XEQ: 10775\nPEK to SSH: 7579\nPEK to BOB: 11836\nPEK to KGP: 5345\nBOB to HIA: 12039\nBOB to GYA: 11025\nBOB to STS: 7512\nBOB to XEQ: 16000\nBOB to SSH: 19382\nBOB to KGP: 16847\nKGP to HIA: 6109\nKGP to GYA: 15839\nKGP to STS: 12319\nKGP to XEQ: 7537\nKGP to SSH: 4794\nSSH to HIA: 8228\nSSH to GYA: 13593\nSSH to STS: 12476\nSSH to XEQ: 7694\nHIA to GYA: 18979\nHIA to STS: 10425\nHIA to XEQ: 11539\nGYA to STS: 9290\nGYA to XEQ: 13453\nXEQ to STS: 8828\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SUF, MOV, BZV, YAA, IMP, NLA, NAN, CDB, YYT\n- Travel distances (in kilometers) between each pair of airports:\nSUF to YAA: 9830\nSUF to NAN: 17401\nSUF to YYT: 5620\nSUF to IMP: 8726\nSUF to BZV: 6272\nSUF to CDB: 12892\nSUF to NLA: 7265\nSUF to MOV: 15817\nMOV to YAA: 13076\nMOV to NAN: 3490\nMOV to YYT: 17868\nMOV to IMP: 17344\nMOV to BZV: 15163\nMOV to CDB: 13801\nMOV to NLA: 13826\nBZV to YAA: 14365\nBZV to NAN: 16991\nBZV to YYT: 10111\nBZV to IMP: 8619\nBZV to CDB: 16923\nBZV to NLA: 1776\nYAA to NAN: 9850\nYAA to YYT: 5689\nYAA to IMP: 9950\nYAA to CDB: 3915\nYAA to NLA: 16133\nIMP to NAN: 16425\nIMP to YYT: 7499\nIMP to CDB: 12291\nIMP to NLA: 10237\nNLA to NAN: 15654\nNLA to YYT: 11879\nNLA to CDB: 18699\nNAN to YYT: 14480\nNAN to CDB: 10575\nCDB to YYT: 8178\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61768,
"style": "rule"
}
|
{
"exact_answer": 61768,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SUF\", \"id\": 0}, {\"name\": \"MOV\", \"id\": 1}, {\"name\": \"BZV\", \"id\": 2}, {\"name\": \"YAA\", \"id\": 3}, {\"name\": \"IMP\", \"id\": 4}, {\"name\": \"NLA\", \"id\": 5}, {\"name\": \"NAN\", \"id\": 6}, {\"name\": \"CDB\", \"id\": 7}, {\"name\": \"YYT\", \"id\": 8}], \"links\": [{\"weight\": 9830, \"source\": 0, \"target\": 3}, {\"weight\": 17401, \"source\": 0, \"target\": 6}, {\"weight\": 5620, \"source\": 0, \"target\": 8}, {\"weight\": 8726, \"source\": 0, \"target\": 4}, {\"weight\": 6272, \"source\": 0, \"target\": 2}, {\"weight\": 12892, \"source\": 0, \"target\": 7}, {\"weight\": 7265, \"source\": 0, \"target\": 5}, {\"weight\": 15817, \"source\": 0, \"target\": 1}, {\"weight\": 13076, \"source\": 1, \"target\": 3}, {\"weight\": 3490, \"source\": 1, \"target\": 6}, {\"weight\": 17868, \"source\": 1, \"target\": 8}, {\"weight\": 17344, \"source\": 1, \"target\": 4}, {\"weight\": 15163, \"source\": 1, \"target\": 2}, {\"weight\": 13801, \"source\": 1, \"target\": 7}, {\"weight\": 13826, \"source\": 1, \"target\": 5}, {\"weight\": 14365, \"source\": 2, \"target\": 3}, {\"weight\": 16991, \"source\": 2, \"target\": 6}, {\"weight\": 10111, \"source\": 2, \"target\": 8}, {\"weight\": 8619, \"source\": 2, \"target\": 4}, {\"weight\": 16923, \"source\": 2, \"target\": 7}, {\"weight\": 1776, \"source\": 2, \"target\": 5}, {\"weight\": 9850, \"source\": 3, \"target\": 6}, {\"weight\": 5689, \"source\": 3, \"target\": 8}, {\"weight\": 9950, \"source\": 3, \"target\": 4}, {\"weight\": 3915, \"source\": 3, \"target\": 7}, {\"weight\": 16133, \"source\": 3, \"target\": 5}, {\"weight\": 16425, \"source\": 4, \"target\": 6}, {\"weight\": 7499, \"source\": 4, \"target\": 8}, {\"weight\": 12291, \"source\": 4, \"target\": 7}, {\"weight\": 10237, \"source\": 4, \"target\": 5}, {\"weight\": 15654, \"source\": 5, \"target\": 6}, {\"weight\": 11879, \"source\": 5, \"target\": 8}, {\"weight\": 18699, \"source\": 5, \"target\": 7}, {\"weight\": 14480, \"source\": 6, \"target\": 8}, {\"weight\": 10575, \"source\": 6, \"target\": 7}, {\"weight\": 8178, \"source\": 7, \"target\": 8}]}",
"id": 428,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SUF, MOV, BZV, YAA, IMP, NLA, NAN, CDB, YYT\n- Travel distances (in kilometers) between each pair of airports:\nSUF to YAA: 9830\nSUF to NAN: 17401\nSUF to YYT: 5620\nSUF to IMP: 8726\nSUF to BZV: 6272\nSUF to CDB: 12892\nSUF to NLA: 7265\nSUF to MOV: 15817\nMOV to YAA: 13076\nMOV to NAN: 3490\nMOV to YYT: 17868\nMOV to IMP: 17344\nMOV to BZV: 15163\nMOV to CDB: 13801\nMOV to NLA: 13826\nBZV to YAA: 14365\nBZV to NAN: 16991\nBZV to YYT: 10111\nBZV to IMP: 8619\nBZV to CDB: 16923\nBZV to NLA: 1776\nYAA to NAN: 9850\nYAA to YYT: 5689\nYAA to IMP: 9950\nYAA to CDB: 3915\nYAA to NLA: 16133\nIMP to NAN: 16425\nIMP to YYT: 7499\nIMP to CDB: 12291\nIMP to NLA: 10237\nNLA to NAN: 15654\nNLA to YYT: 11879\nNLA to CDB: 18699\nNAN to YYT: 14480\nNAN to CDB: 10575\nCDB to YYT: 8178\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, IMT, KBL, CKG, LEA, GFF, DLG, PLO, AGT\n- Travel distances (in kilometers) between each pair of airports:\nPYY to CKG: 1529\nPYY to KBL: 3789\nPYY to DLG: 14524\nPYY to IMT: 14201\nPYY to AGT: 17835\nPYY to LEA: 7102\nPYY to PLO: 7645\nPYY to GFF: 8668\nIMT to CKG: 12672\nIMT to KBL: 12436\nIMT to DLG: 4981\nIMT to AGT: 9277\nIMT to LEA: 19060\nIMT to PLO: 16224\nIMT to GFF: 15383\nKBL to CKG: 3907\nKBL to DLG: 15429\nKBL to AGT: 14738\nKBL to LEA: 10110\nKBL to PLO: 10803\nKBL to GFF: 11906\nCKG to DLG: 12995\nCKG to AGT: 18133\nCKG to LEA: 8132\nCKG to PLO: 8217\nCKG to GFF: 8955\nLEA to DLG: 17254\nLEA to AGT: 17551\nLEA to PLO: 3454\nLEA to GFF: 4842\nGFF to DLG: 13642\nGFF to AGT: 13651\nGFF to PLO: 1880\nDLG to AGT: 13391\nDLG to PLO: 14418\nPLO to AGT: 14589\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60510,
"style": "rule"
}
|
{
"exact_answer": 60510,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PYY\", \"id\": 0}, {\"name\": \"IMT\", \"id\": 1}, {\"name\": \"KBL\", \"id\": 2}, {\"name\": \"CKG\", \"id\": 3}, {\"name\": \"LEA\", \"id\": 4}, {\"name\": \"GFF\", \"id\": 5}, {\"name\": \"DLG\", \"id\": 6}, {\"name\": \"PLO\", \"id\": 7}, {\"name\": \"AGT\", \"id\": 8}], \"links\": [{\"weight\": 1529, \"source\": 0, \"target\": 3}, {\"weight\": 3789, \"source\": 0, \"target\": 2}, {\"weight\": 14524, \"source\": 0, \"target\": 6}, {\"weight\": 14201, \"source\": 0, \"target\": 1}, {\"weight\": 17835, \"source\": 0, \"target\": 8}, {\"weight\": 7102, \"source\": 0, \"target\": 4}, {\"weight\": 7645, \"source\": 0, \"target\": 7}, {\"weight\": 8668, \"source\": 0, \"target\": 5}, {\"weight\": 12672, \"source\": 1, \"target\": 3}, {\"weight\": 12436, \"source\": 1, \"target\": 2}, {\"weight\": 4981, \"source\": 1, \"target\": 6}, {\"weight\": 9277, \"source\": 1, \"target\": 8}, {\"weight\": 19060, \"source\": 1, \"target\": 4}, {\"weight\": 16224, \"source\": 1, \"target\": 7}, {\"weight\": 15383, \"source\": 1, \"target\": 5}, {\"weight\": 3907, \"source\": 2, \"target\": 3}, {\"weight\": 15429, \"source\": 2, \"target\": 6}, {\"weight\": 14738, \"source\": 2, \"target\": 8}, {\"weight\": 10110, \"source\": 2, \"target\": 4}, {\"weight\": 10803, \"source\": 2, \"target\": 7}, {\"weight\": 11906, \"source\": 2, \"target\": 5}, {\"weight\": 12995, \"source\": 3, \"target\": 6}, {\"weight\": 18133, \"source\": 3, \"target\": 8}, {\"weight\": 8132, \"source\": 3, \"target\": 4}, {\"weight\": 8217, \"source\": 3, \"target\": 7}, {\"weight\": 8955, \"source\": 3, \"target\": 5}, {\"weight\": 17254, \"source\": 4, \"target\": 6}, {\"weight\": 17551, \"source\": 4, \"target\": 8}, {\"weight\": 3454, \"source\": 4, \"target\": 7}, {\"weight\": 4842, \"source\": 4, \"target\": 5}, {\"weight\": 13642, \"source\": 5, \"target\": 6}, {\"weight\": 13651, \"source\": 5, \"target\": 8}, {\"weight\": 1880, \"source\": 5, \"target\": 7}, {\"weight\": 13391, \"source\": 6, \"target\": 8}, {\"weight\": 14418, \"source\": 6, \"target\": 7}, {\"weight\": 14589, \"source\": 7, \"target\": 8}]}",
"id": 429,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYY, IMT, KBL, CKG, LEA, GFF, DLG, PLO, AGT\n- Travel distances (in kilometers) between each pair of airports:\nPYY to CKG: 1529\nPYY to KBL: 3789\nPYY to DLG: 14524\nPYY to IMT: 14201\nPYY to AGT: 17835\nPYY to LEA: 7102\nPYY to PLO: 7645\nPYY to GFF: 8668\nIMT to CKG: 12672\nIMT to KBL: 12436\nIMT to DLG: 4981\nIMT to AGT: 9277\nIMT to LEA: 19060\nIMT to PLO: 16224\nIMT to GFF: 15383\nKBL to CKG: 3907\nKBL to DLG: 15429\nKBL to AGT: 14738\nKBL to LEA: 10110\nKBL to PLO: 10803\nKBL to GFF: 11906\nCKG to DLG: 12995\nCKG to AGT: 18133\nCKG to LEA: 8132\nCKG to PLO: 8217\nCKG to GFF: 8955\nLEA to DLG: 17254\nLEA to AGT: 17551\nLEA to PLO: 3454\nLEA to GFF: 4842\nGFF to DLG: 13642\nGFF to AGT: 13651\nGFF to PLO: 1880\nDLG to AGT: 13391\nDLG to PLO: 14418\nPLO to AGT: 14589\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RAB, MMY, ROI, IQN, SSA, YUS, SJC, SWA, IXE\n- Travel distances (in kilometers) between each pair of airports:\nRAB to SSA: 18836\nRAB to SWA: 6184\nRAB to IXE: 9210\nRAB to SJC: 13183\nRAB to MMY: 6338\nRAB to ROI: 7360\nRAB to IQN: 7489\nRAB to YUS: 8436\nMMY to SSA: 18135\nMMY to SWA: 1555\nMMY to IXE: 5505\nMMY to SJC: 10171\nMMY to ROI: 3341\nMMY to IQN: 2203\nMMY to YUS: 3264\nROI to SSA: 17330\nROI to SWA: 2423\nROI to IXE: 3202\nROI to SJC: 13339\nROI to IQN: 3027\nROI to YUS: 3559\nIQN to SSA: 16062\nIQN to SWA: 1634\nIQN to IXE: 4640\nIQN to SJC: 10917\nIQN to YUS: 1436\nSSA to SWA: 17594\nSSA to IXE: 14395\nSSA to SJC: 10368\nSSA to YUS: 16163\nYUS to SWA: 2639\nYUS to IXE: 4793\nYUS to SJC: 11731\nSJC to SWA: 11047\nSJC to IXE: 15259\nSWA to IXE: 4586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55670,
"style": "rule"
}
|
{
"exact_answer": 55670,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RAB\", \"id\": 0}, {\"name\": \"MMY\", \"id\": 1}, {\"name\": \"ROI\", \"id\": 2}, {\"name\": \"IQN\", \"id\": 3}, {\"name\": \"SSA\", \"id\": 4}, {\"name\": \"YUS\", \"id\": 5}, {\"name\": \"SJC\", \"id\": 6}, {\"name\": \"SWA\", \"id\": 7}, {\"name\": \"IXE\", \"id\": 8}], \"links\": [{\"weight\": 18836, \"source\": 0, \"target\": 4}, {\"weight\": 6184, \"source\": 0, \"target\": 7}, {\"weight\": 9210, \"source\": 0, \"target\": 8}, {\"weight\": 13183, \"source\": 0, \"target\": 6}, {\"weight\": 6338, \"source\": 0, \"target\": 1}, {\"weight\": 7360, \"source\": 0, \"target\": 2}, {\"weight\": 7489, \"source\": 0, \"target\": 3}, {\"weight\": 8436, \"source\": 0, \"target\": 5}, {\"weight\": 18135, \"source\": 1, \"target\": 4}, {\"weight\": 1555, \"source\": 1, \"target\": 7}, {\"weight\": 5505, \"source\": 1, \"target\": 8}, {\"weight\": 10171, \"source\": 1, \"target\": 6}, {\"weight\": 3341, \"source\": 1, \"target\": 2}, {\"weight\": 2203, \"source\": 1, \"target\": 3}, {\"weight\": 3264, \"source\": 1, \"target\": 5}, {\"weight\": 17330, \"source\": 2, \"target\": 4}, {\"weight\": 2423, \"source\": 2, \"target\": 7}, {\"weight\": 3202, \"source\": 2, \"target\": 8}, {\"weight\": 13339, \"source\": 2, \"target\": 6}, {\"weight\": 3027, \"source\": 2, \"target\": 3}, {\"weight\": 3559, \"source\": 2, \"target\": 5}, {\"weight\": 16062, \"source\": 3, \"target\": 4}, {\"weight\": 1634, \"source\": 3, \"target\": 7}, {\"weight\": 4640, \"source\": 3, \"target\": 8}, {\"weight\": 10917, \"source\": 3, \"target\": 6}, {\"weight\": 1436, \"source\": 3, \"target\": 5}, {\"weight\": 17594, \"source\": 4, \"target\": 7}, {\"weight\": 14395, \"source\": 4, \"target\": 8}, {\"weight\": 10368, \"source\": 4, \"target\": 6}, {\"weight\": 16163, \"source\": 4, \"target\": 5}, {\"weight\": 2639, \"source\": 5, \"target\": 7}, {\"weight\": 4793, \"source\": 5, \"target\": 8}, {\"weight\": 11731, \"source\": 5, \"target\": 6}, {\"weight\": 11047, \"source\": 6, \"target\": 7}, {\"weight\": 15259, \"source\": 6, \"target\": 8}, {\"weight\": 4586, \"source\": 7, \"target\": 8}]}",
"id": 430,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RAB, MMY, ROI, IQN, SSA, YUS, SJC, SWA, IXE\n- Travel distances (in kilometers) between each pair of airports:\nRAB to SSA: 18836\nRAB to SWA: 6184\nRAB to IXE: 9210\nRAB to SJC: 13183\nRAB to MMY: 6338\nRAB to ROI: 7360\nRAB to IQN: 7489\nRAB to YUS: 8436\nMMY to SSA: 18135\nMMY to SWA: 1555\nMMY to IXE: 5505\nMMY to SJC: 10171\nMMY to ROI: 3341\nMMY to IQN: 2203\nMMY to YUS: 3264\nROI to SSA: 17330\nROI to SWA: 2423\nROI to IXE: 3202\nROI to SJC: 13339\nROI to IQN: 3027\nROI to YUS: 3559\nIQN to SSA: 16062\nIQN to SWA: 1634\nIQN to IXE: 4640\nIQN to SJC: 10917\nIQN to YUS: 1436\nSSA to SWA: 17594\nSSA to IXE: 14395\nSSA to SJC: 10368\nSSA to YUS: 16163\nYUS to SWA: 2639\nYUS to IXE: 4793\nYUS to SJC: 11731\nSJC to SWA: 11047\nSJC to IXE: 15259\nSWA to IXE: 4586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRC, CMN, CFB, UDJ, KKC, VOG, YZT, SHX, UNG\n- Travel distances (in kilometers) between each pair of airports:\nTRC to CMN: 9006\nTRC to SHX: 6151\nTRC to VOG: 11312\nTRC to YZT: 3738\nTRC to CFB: 8701\nTRC to UNG: 14838\nTRC to KKC: 15454\nTRC to UDJ: 11087\nCMN to SHX: 11874\nCMN to VOG: 4663\nCMN to YZT: 9697\nCMN to CFB: 7603\nCMN to UNG: 17072\nCMN to KKC: 11156\nCMN to UDJ: 4241\nCFB to SHX: 13901\nCFB to VOG: 12162\nCFB to YZT: 11724\nCFB to UNG: 17854\nCFB to KKC: 17267\nCFB to UDJ: 11732\nUDJ to SHX: 12805\nUDJ to VOG: 2226\nUDJ to YZT: 10107\nUDJ to UNG: 14291\nUDJ to KKC: 8660\nKKC to SHX: 15317\nKKC to VOG: 6813\nKKC to YZT: 12508\nKKC to UNG: 7244\nVOG to SHX: 13007\nVOG to YZT: 10309\nVOG to UNG: 12723\nYZT to SHX: 3503\nYZT to UNG: 13672\nSHX to UNG: 14353\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58422,
"style": "rule"
}
|
{
"exact_answer": 58422,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRC\", \"id\": 0}, {\"name\": \"CMN\", \"id\": 1}, {\"name\": \"CFB\", \"id\": 2}, {\"name\": \"UDJ\", \"id\": 3}, {\"name\": \"KKC\", \"id\": 4}, {\"name\": \"VOG\", \"id\": 5}, {\"name\": \"YZT\", \"id\": 6}, {\"name\": \"SHX\", \"id\": 7}, {\"name\": \"UNG\", \"id\": 8}], \"links\": [{\"weight\": 9006, \"source\": 0, \"target\": 1}, {\"weight\": 6151, \"source\": 0, \"target\": 7}, {\"weight\": 11312, \"source\": 0, \"target\": 5}, {\"weight\": 3738, \"source\": 0, \"target\": 6}, {\"weight\": 8701, \"source\": 0, \"target\": 2}, {\"weight\": 14838, \"source\": 0, \"target\": 8}, {\"weight\": 15454, \"source\": 0, \"target\": 4}, {\"weight\": 11087, \"source\": 0, \"target\": 3}, {\"weight\": 11874, \"source\": 1, \"target\": 7}, {\"weight\": 4663, \"source\": 1, \"target\": 5}, {\"weight\": 9697, \"source\": 1, \"target\": 6}, {\"weight\": 7603, \"source\": 1, \"target\": 2}, {\"weight\": 17072, \"source\": 1, \"target\": 8}, {\"weight\": 11156, \"source\": 1, \"target\": 4}, {\"weight\": 4241, \"source\": 1, \"target\": 3}, {\"weight\": 13901, \"source\": 2, \"target\": 7}, {\"weight\": 12162, \"source\": 2, \"target\": 5}, {\"weight\": 11724, \"source\": 2, \"target\": 6}, {\"weight\": 17854, \"source\": 2, \"target\": 8}, {\"weight\": 17267, \"source\": 2, \"target\": 4}, {\"weight\": 11732, \"source\": 2, \"target\": 3}, {\"weight\": 12805, \"source\": 3, \"target\": 7}, {\"weight\": 2226, \"source\": 3, \"target\": 5}, {\"weight\": 10107, \"source\": 3, \"target\": 6}, {\"weight\": 14291, \"source\": 3, \"target\": 8}, {\"weight\": 8660, \"source\": 3, \"target\": 4}, {\"weight\": 15317, \"source\": 4, \"target\": 7}, {\"weight\": 6813, \"source\": 4, \"target\": 5}, {\"weight\": 12508, \"source\": 4, \"target\": 6}, {\"weight\": 7244, \"source\": 4, \"target\": 8}, {\"weight\": 13007, \"source\": 5, \"target\": 7}, {\"weight\": 10309, \"source\": 5, \"target\": 6}, {\"weight\": 12723, \"source\": 5, \"target\": 8}, {\"weight\": 3503, \"source\": 6, \"target\": 7}, {\"weight\": 13672, \"source\": 6, \"target\": 8}, {\"weight\": 14353, \"source\": 7, \"target\": 8}]}",
"id": 431,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRC, CMN, CFB, UDJ, KKC, VOG, YZT, SHX, UNG\n- Travel distances (in kilometers) between each pair of airports:\nTRC to CMN: 9006\nTRC to SHX: 6151\nTRC to VOG: 11312\nTRC to YZT: 3738\nTRC to CFB: 8701\nTRC to UNG: 14838\nTRC to KKC: 15454\nTRC to UDJ: 11087\nCMN to SHX: 11874\nCMN to VOG: 4663\nCMN to YZT: 9697\nCMN to CFB: 7603\nCMN to UNG: 17072\nCMN to KKC: 11156\nCMN to UDJ: 4241\nCFB to SHX: 13901\nCFB to VOG: 12162\nCFB to YZT: 11724\nCFB to UNG: 17854\nCFB to KKC: 17267\nCFB to UDJ: 11732\nUDJ to SHX: 12805\nUDJ to VOG: 2226\nUDJ to YZT: 10107\nUDJ to UNG: 14291\nUDJ to KKC: 8660\nKKC to SHX: 15317\nKKC to VOG: 6813\nKKC to YZT: 12508\nKKC to UNG: 7244\nVOG to SHX: 13007\nVOG to YZT: 10309\nVOG to UNG: 12723\nYZT to SHX: 3503\nYZT to UNG: 13672\nSHX to UNG: 14353\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VRN, KOK, IGM, ANC, PBJ, YBP, HMO, GPS, GKA\n- Travel distances (in kilometers) between each pair of airports:\nVRN to KOK: 2204\nVRN to YBP: 8836\nVRN to HMO: 10046\nVRN to ANC: 11053\nVRN to GKA: 14788\nVRN to GPS: 11552\nVRN to IGM: 9553\nVRN to PBJ: 17194\nKOK to YBP: 7538\nKOK to HMO: 9879\nKOK to ANC: 10830\nKOK to GKA: 13685\nKOK to GPS: 12576\nKOK to IGM: 9384\nKOK to PBJ: 15863\nIGM to YBP: 12138\nIGM to HMO: 1172\nIGM to ANC: 4204\nIGM to GKA: 13137\nIGM to GPS: 7132\nIGM to PBJ: 10431\nANC to YBP: 12671\nANC to HMO: 4592\nANC to GKA: 13392\nANC to GPS: 10376\nANC to PBJ: 10686\nPBJ to YBP: 9090\nPBJ to HMO: 10878\nPBJ to GKA: 3252\nPBJ to GPS: 16798\nYBP to HMO: 12585\nYBP to GKA: 6684\nYBP to GPS: 18349\nHMO to GKA: 13584\nHMO to GPS: 6053\nGPS to GKA: 19227\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53345,
"style": "rule"
}
|
{
"exact_answer": 53345,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VRN\", \"id\": 0}, {\"name\": \"KOK\", \"id\": 1}, {\"name\": \"IGM\", \"id\": 2}, {\"name\": \"ANC\", \"id\": 3}, {\"name\": \"PBJ\", \"id\": 4}, {\"name\": \"YBP\", \"id\": 5}, {\"name\": \"HMO\", \"id\": 6}, {\"name\": \"GPS\", \"id\": 7}, {\"name\": \"GKA\", \"id\": 8}], \"links\": [{\"weight\": 2204, \"source\": 0, \"target\": 1}, {\"weight\": 8836, \"source\": 0, \"target\": 5}, {\"weight\": 10046, \"source\": 0, \"target\": 6}, {\"weight\": 11053, \"source\": 0, \"target\": 3}, {\"weight\": 14788, \"source\": 0, \"target\": 8}, {\"weight\": 11552, \"source\": 0, \"target\": 7}, {\"weight\": 9553, \"source\": 0, \"target\": 2}, {\"weight\": 17194, \"source\": 0, \"target\": 4}, {\"weight\": 7538, \"source\": 1, \"target\": 5}, {\"weight\": 9879, \"source\": 1, \"target\": 6}, {\"weight\": 10830, \"source\": 1, \"target\": 3}, {\"weight\": 13685, \"source\": 1, \"target\": 8}, {\"weight\": 12576, \"source\": 1, \"target\": 7}, {\"weight\": 9384, \"source\": 1, \"target\": 2}, {\"weight\": 15863, \"source\": 1, \"target\": 4}, {\"weight\": 12138, \"source\": 2, \"target\": 5}, {\"weight\": 1172, \"source\": 2, \"target\": 6}, {\"weight\": 4204, \"source\": 2, \"target\": 3}, {\"weight\": 13137, \"source\": 2, \"target\": 8}, {\"weight\": 7132, \"source\": 2, \"target\": 7}, {\"weight\": 10431, \"source\": 2, \"target\": 4}, {\"weight\": 12671, \"source\": 3, \"target\": 5}, {\"weight\": 4592, \"source\": 3, \"target\": 6}, {\"weight\": 13392, \"source\": 3, \"target\": 8}, {\"weight\": 10376, \"source\": 3, \"target\": 7}, {\"weight\": 10686, \"source\": 3, \"target\": 4}, {\"weight\": 9090, \"source\": 4, \"target\": 5}, {\"weight\": 10878, \"source\": 4, \"target\": 6}, {\"weight\": 3252, \"source\": 4, \"target\": 8}, {\"weight\": 16798, \"source\": 4, \"target\": 7}, {\"weight\": 12585, \"source\": 5, \"target\": 6}, {\"weight\": 6684, \"source\": 5, \"target\": 8}, {\"weight\": 18349, \"source\": 5, \"target\": 7}, {\"weight\": 13584, \"source\": 6, \"target\": 8}, {\"weight\": 6053, \"source\": 6, \"target\": 7}, {\"weight\": 19227, \"source\": 7, \"target\": 8}]}",
"id": 432,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VRN, KOK, IGM, ANC, PBJ, YBP, HMO, GPS, GKA\n- Travel distances (in kilometers) between each pair of airports:\nVRN to KOK: 2204\nVRN to YBP: 8836\nVRN to HMO: 10046\nVRN to ANC: 11053\nVRN to GKA: 14788\nVRN to GPS: 11552\nVRN to IGM: 9553\nVRN to PBJ: 17194\nKOK to YBP: 7538\nKOK to HMO: 9879\nKOK to ANC: 10830\nKOK to GKA: 13685\nKOK to GPS: 12576\nKOK to IGM: 9384\nKOK to PBJ: 15863\nIGM to YBP: 12138\nIGM to HMO: 1172\nIGM to ANC: 4204\nIGM to GKA: 13137\nIGM to GPS: 7132\nIGM to PBJ: 10431\nANC to YBP: 12671\nANC to HMO: 4592\nANC to GKA: 13392\nANC to GPS: 10376\nANC to PBJ: 10686\nPBJ to YBP: 9090\nPBJ to HMO: 10878\nPBJ to GKA: 3252\nPBJ to GPS: 16798\nYBP to HMO: 12585\nYBP to GKA: 6684\nYBP to GPS: 18349\nHMO to GKA: 13584\nHMO to GPS: 6053\nGPS to GKA: 19227\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, OLL, ROP, YDF, IOT, WNP, IXC, SRE, RMI\n- Travel distances (in kilometers) between each pair of airports:\nHTS to WNP: 14708\nHTS to IXC: 13224\nHTS to YDF: 2876\nHTS to IOT: 7631\nHTS to OLL: 11828\nHTS to SRE: 6712\nHTS to RMI: 10966\nHTS to ROP: 13888\nOLL to WNP: 12447\nOLL to IXC: 8129\nOLL to YDF: 10841\nOLL to IOT: 10876\nOLL to SRE: 9557\nOLL to RMI: 8673\nOLL to ROP: 14841\nROP to WNP: 2920\nROP to IXC: 7474\nROP to YDF: 14564\nROP to IOT: 14925\nROP to SRE: 18470\nROP to RMI: 12055\nYDF to WNP: 15129\nYDF to IXC: 11066\nYDF to IOT: 7447\nYDF to SRE: 8152\nYDF to RMI: 8840\nIOT to WNP: 13903\nIOT to IXC: 10030\nIOT to SRE: 13242\nIOT to RMI: 7741\nWNP to IXC: 5373\nWNP to SRE: 20202\nWNP to RMI: 10637\nIXC to SRE: 16685\nIXC to RMI: 6227\nSRE to RMI: 14812\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62810,
"style": "rule"
}
|
{
"exact_answer": 62810,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HTS\", \"id\": 0}, {\"name\": \"OLL\", \"id\": 1}, {\"name\": \"ROP\", \"id\": 2}, {\"name\": \"YDF\", \"id\": 3}, {\"name\": \"IOT\", \"id\": 4}, {\"name\": \"WNP\", \"id\": 5}, {\"name\": \"IXC\", \"id\": 6}, {\"name\": \"SRE\", \"id\": 7}, {\"name\": \"RMI\", \"id\": 8}], \"links\": [{\"weight\": 14708, \"source\": 0, \"target\": 5}, {\"weight\": 13224, \"source\": 0, \"target\": 6}, {\"weight\": 2876, \"source\": 0, \"target\": 3}, {\"weight\": 7631, \"source\": 0, \"target\": 4}, {\"weight\": 11828, \"source\": 0, \"target\": 1}, {\"weight\": 6712, \"source\": 0, \"target\": 7}, {\"weight\": 10966, \"source\": 0, \"target\": 8}, {\"weight\": 13888, \"source\": 0, \"target\": 2}, {\"weight\": 12447, \"source\": 1, \"target\": 5}, {\"weight\": 8129, \"source\": 1, \"target\": 6}, {\"weight\": 10841, \"source\": 1, \"target\": 3}, {\"weight\": 10876, \"source\": 1, \"target\": 4}, {\"weight\": 9557, \"source\": 1, \"target\": 7}, {\"weight\": 8673, \"source\": 1, \"target\": 8}, {\"weight\": 14841, \"source\": 1, \"target\": 2}, {\"weight\": 2920, \"source\": 2, \"target\": 5}, {\"weight\": 7474, \"source\": 2, \"target\": 6}, {\"weight\": 14564, \"source\": 2, \"target\": 3}, {\"weight\": 14925, \"source\": 2, \"target\": 4}, {\"weight\": 18470, \"source\": 2, \"target\": 7}, {\"weight\": 12055, \"source\": 2, \"target\": 8}, {\"weight\": 15129, \"source\": 3, \"target\": 5}, {\"weight\": 11066, \"source\": 3, \"target\": 6}, {\"weight\": 7447, \"source\": 3, \"target\": 4}, {\"weight\": 8152, \"source\": 3, \"target\": 7}, {\"weight\": 8840, \"source\": 3, \"target\": 8}, {\"weight\": 13903, \"source\": 4, \"target\": 5}, {\"weight\": 10030, \"source\": 4, \"target\": 6}, {\"weight\": 13242, \"source\": 4, \"target\": 7}, {\"weight\": 7741, \"source\": 4, \"target\": 8}, {\"weight\": 5373, \"source\": 5, \"target\": 6}, {\"weight\": 20202, \"source\": 5, \"target\": 7}, {\"weight\": 10637, \"source\": 5, \"target\": 8}, {\"weight\": 16685, \"source\": 6, \"target\": 7}, {\"weight\": 6227, \"source\": 6, \"target\": 8}, {\"weight\": 14812, \"source\": 7, \"target\": 8}]}",
"id": 433,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HTS, OLL, ROP, YDF, IOT, WNP, IXC, SRE, RMI\n- Travel distances (in kilometers) between each pair of airports:\nHTS to WNP: 14708\nHTS to IXC: 13224\nHTS to YDF: 2876\nHTS to IOT: 7631\nHTS to OLL: 11828\nHTS to SRE: 6712\nHTS to RMI: 10966\nHTS to ROP: 13888\nOLL to WNP: 12447\nOLL to IXC: 8129\nOLL to YDF: 10841\nOLL to IOT: 10876\nOLL to SRE: 9557\nOLL to RMI: 8673\nOLL to ROP: 14841\nROP to WNP: 2920\nROP to IXC: 7474\nROP to YDF: 14564\nROP to IOT: 14925\nROP to SRE: 18470\nROP to RMI: 12055\nYDF to WNP: 15129\nYDF to IXC: 11066\nYDF to IOT: 7447\nYDF to SRE: 8152\nYDF to RMI: 8840\nIOT to WNP: 13903\nIOT to IXC: 10030\nIOT to SRE: 13242\nIOT to RMI: 7741\nWNP to IXC: 5373\nWNP to SRE: 20202\nWNP to RMI: 10637\nIXC to SRE: 16685\nIXC to RMI: 6227\nSRE to RMI: 14812\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAL, BBO, SVC, JIC, ILI, KSH, BDJ, ABE, DJE\n- Travel distances (in kilometers) between each pair of airports:\nDAL to ABE: 2173\nDAL to DJE: 9453\nDAL to KSH: 11876\nDAL to BDJ: 15754\nDAL to JIC: 12822\nDAL to BBO: 13769\nDAL to ILI: 5262\nDAL to SVC: 1829\nBBO to ABE: 11896\nBBO to DJE: 4530\nBBO to KSH: 3312\nBBO to BDJ: 8871\nBBO to JIC: 7180\nBBO to ILI: 16367\nBBO to SVC: 14983\nSVC to ABE: 3733\nSVC to DJE: 10892\nSVC to KSH: 12978\nSVC to BDJ: 15012\nSVC to JIC: 12296\nSVC to ILI: 4783\nJIC to ABE: 12682\nJIC to DJE: 8563\nJIC to KSH: 5579\nJIC to BDJ: 5201\nJIC to ILI: 12787\nILI to ABE: 5882\nILI to DJE: 12494\nILI to KSH: 14362\nILI to BDJ: 15674\nKSH to ABE: 10055\nKSH to DJE: 3714\nKSH to BDJ: 8818\nBDJ to ABE: 16193\nBDJ to DJE: 11729\nABE to DJE: 7462\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50132,
"style": "rule"
}
|
{
"exact_answer": 50132,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DAL\", \"id\": 0}, {\"name\": \"BBO\", \"id\": 1}, {\"name\": \"SVC\", \"id\": 2}, {\"name\": \"JIC\", \"id\": 3}, {\"name\": \"ILI\", \"id\": 4}, {\"name\": \"KSH\", \"id\": 5}, {\"name\": \"BDJ\", \"id\": 6}, {\"name\": \"ABE\", \"id\": 7}, {\"name\": \"DJE\", \"id\": 8}], \"links\": [{\"weight\": 2173, \"source\": 0, \"target\": 7}, {\"weight\": 9453, \"source\": 0, \"target\": 8}, {\"weight\": 11876, \"source\": 0, \"target\": 5}, {\"weight\": 15754, \"source\": 0, \"target\": 6}, {\"weight\": 12822, \"source\": 0, \"target\": 3}, {\"weight\": 13769, \"source\": 0, \"target\": 1}, {\"weight\": 5262, \"source\": 0, \"target\": 4}, {\"weight\": 1829, \"source\": 0, \"target\": 2}, {\"weight\": 11896, \"source\": 1, \"target\": 7}, {\"weight\": 4530, \"source\": 1, \"target\": 8}, {\"weight\": 3312, \"source\": 1, \"target\": 5}, {\"weight\": 8871, \"source\": 1, \"target\": 6}, {\"weight\": 7180, \"source\": 1, \"target\": 3}, {\"weight\": 16367, \"source\": 1, \"target\": 4}, {\"weight\": 14983, \"source\": 1, \"target\": 2}, {\"weight\": 3733, \"source\": 2, \"target\": 7}, {\"weight\": 10892, \"source\": 2, \"target\": 8}, {\"weight\": 12978, \"source\": 2, \"target\": 5}, {\"weight\": 15012, \"source\": 2, \"target\": 6}, {\"weight\": 12296, \"source\": 2, \"target\": 3}, {\"weight\": 4783, \"source\": 2, \"target\": 4}, {\"weight\": 12682, \"source\": 3, \"target\": 7}, {\"weight\": 8563, \"source\": 3, \"target\": 8}, {\"weight\": 5579, \"source\": 3, \"target\": 5}, {\"weight\": 5201, \"source\": 3, \"target\": 6}, {\"weight\": 12787, \"source\": 3, \"target\": 4}, {\"weight\": 5882, \"source\": 4, \"target\": 7}, {\"weight\": 12494, \"source\": 4, \"target\": 8}, {\"weight\": 14362, \"source\": 4, \"target\": 5}, {\"weight\": 15674, \"source\": 4, \"target\": 6}, {\"weight\": 10055, \"source\": 5, \"target\": 7}, {\"weight\": 3714, \"source\": 5, \"target\": 8}, {\"weight\": 8818, \"source\": 5, \"target\": 6}, {\"weight\": 16193, \"source\": 6, \"target\": 7}, {\"weight\": 11729, \"source\": 6, \"target\": 8}, {\"weight\": 7462, \"source\": 7, \"target\": 8}]}",
"id": 434,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DAL, BBO, SVC, JIC, ILI, KSH, BDJ, ABE, DJE\n- Travel distances (in kilometers) between each pair of airports:\nDAL to ABE: 2173\nDAL to DJE: 9453\nDAL to KSH: 11876\nDAL to BDJ: 15754\nDAL to JIC: 12822\nDAL to BBO: 13769\nDAL to ILI: 5262\nDAL to SVC: 1829\nBBO to ABE: 11896\nBBO to DJE: 4530\nBBO to KSH: 3312\nBBO to BDJ: 8871\nBBO to JIC: 7180\nBBO to ILI: 16367\nBBO to SVC: 14983\nSVC to ABE: 3733\nSVC to DJE: 10892\nSVC to KSH: 12978\nSVC to BDJ: 15012\nSVC to JIC: 12296\nSVC to ILI: 4783\nJIC to ABE: 12682\nJIC to DJE: 8563\nJIC to KSH: 5579\nJIC to BDJ: 5201\nJIC to ILI: 12787\nILI to ABE: 5882\nILI to DJE: 12494\nILI to KSH: 14362\nILI to BDJ: 15674\nKSH to ABE: 10055\nKSH to DJE: 3714\nKSH to BDJ: 8818\nBDJ to ABE: 16193\nBDJ to DJE: 11729\nABE to DJE: 7462\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AQI, ILI, EPR, MWZ, BOD, YVR, NNM, JHG, TKP\n- Travel distances (in kilometers) between each pair of airports:\nAQI to BOD: 5148\nAQI to JHG: 6328\nAQI to YVR: 12682\nAQI to NNM: 5617\nAQI to ILI: 15400\nAQI to MWZ: 3957\nAQI to EPR: 10781\nAQI to TKP: 19201\nILI to BOD: 11008\nILI to JHG: 13821\nILI to YVR: 2841\nILI to NNM: 12601\nILI to MWZ: 17611\nILI to EPR: 16525\nILI to TKP: 9834\nEPR to BOD: 15047\nEPR to JHG: 6834\nEPR to YVR: 16092\nEPR to NNM: 13179\nEPR to MWZ: 9895\nEPR to TKP: 10616\nMWZ to BOD: 7204\nMWZ to JHG: 8527\nMWZ to YVR: 14839\nMWZ to NNM: 8501\nMWZ to TKP: 19351\nBOD to JHG: 9744\nBOD to YVR: 8290\nBOD to NNM: 4069\nBOD to TKP: 16733\nYVR to JHG: 10997\nYVR to NNM: 9883\nYVR to TKP: 8983\nNNM to JHG: 7190\nNNM to TKP: 17701\nJHG to TKP: 14194\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60585,
"style": "rule"
}
|
{
"exact_answer": 60585,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AQI\", \"id\": 0}, {\"name\": \"ILI\", \"id\": 1}, {\"name\": \"EPR\", \"id\": 2}, {\"name\": \"MWZ\", \"id\": 3}, {\"name\": \"BOD\", \"id\": 4}, {\"name\": \"YVR\", \"id\": 5}, {\"name\": \"NNM\", \"id\": 6}, {\"name\": \"JHG\", \"id\": 7}, {\"name\": \"TKP\", \"id\": 8}], \"links\": [{\"weight\": 5148, \"source\": 0, \"target\": 4}, {\"weight\": 6328, \"source\": 0, \"target\": 7}, {\"weight\": 12682, \"source\": 0, \"target\": 5}, {\"weight\": 5617, \"source\": 0, \"target\": 6}, {\"weight\": 15400, \"source\": 0, \"target\": 1}, {\"weight\": 3957, \"source\": 0, \"target\": 3}, {\"weight\": 10781, \"source\": 0, \"target\": 2}, {\"weight\": 19201, \"source\": 0, \"target\": 8}, {\"weight\": 11008, \"source\": 1, \"target\": 4}, {\"weight\": 13821, \"source\": 1, \"target\": 7}, {\"weight\": 2841, \"source\": 1, \"target\": 5}, {\"weight\": 12601, \"source\": 1, \"target\": 6}, {\"weight\": 17611, \"source\": 1, \"target\": 3}, {\"weight\": 16525, \"source\": 1, \"target\": 2}, {\"weight\": 9834, \"source\": 1, \"target\": 8}, {\"weight\": 15047, \"source\": 2, \"target\": 4}, {\"weight\": 6834, \"source\": 2, \"target\": 7}, {\"weight\": 16092, \"source\": 2, \"target\": 5}, {\"weight\": 13179, \"source\": 2, \"target\": 6}, {\"weight\": 9895, \"source\": 2, \"target\": 3}, {\"weight\": 10616, \"source\": 2, \"target\": 8}, {\"weight\": 7204, \"source\": 3, \"target\": 4}, {\"weight\": 8527, \"source\": 3, \"target\": 7}, {\"weight\": 14839, \"source\": 3, \"target\": 5}, {\"weight\": 8501, \"source\": 3, \"target\": 6}, {\"weight\": 19351, \"source\": 3, \"target\": 8}, {\"weight\": 9744, \"source\": 4, \"target\": 7}, {\"weight\": 8290, \"source\": 4, \"target\": 5}, {\"weight\": 4069, \"source\": 4, \"target\": 6}, {\"weight\": 16733, \"source\": 4, \"target\": 8}, {\"weight\": 10997, \"source\": 5, \"target\": 7}, {\"weight\": 9883, \"source\": 5, \"target\": 6}, {\"weight\": 8983, \"source\": 5, \"target\": 8}, {\"weight\": 7190, \"source\": 6, \"target\": 7}, {\"weight\": 17701, \"source\": 6, \"target\": 8}, {\"weight\": 14194, \"source\": 7, \"target\": 8}]}",
"id": 435,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AQI, ILI, EPR, MWZ, BOD, YVR, NNM, JHG, TKP\n- Travel distances (in kilometers) between each pair of airports:\nAQI to BOD: 5148\nAQI to JHG: 6328\nAQI to YVR: 12682\nAQI to NNM: 5617\nAQI to ILI: 15400\nAQI to MWZ: 3957\nAQI to EPR: 10781\nAQI to TKP: 19201\nILI to BOD: 11008\nILI to JHG: 13821\nILI to YVR: 2841\nILI to NNM: 12601\nILI to MWZ: 17611\nILI to EPR: 16525\nILI to TKP: 9834\nEPR to BOD: 15047\nEPR to JHG: 6834\nEPR to YVR: 16092\nEPR to NNM: 13179\nEPR to MWZ: 9895\nEPR to TKP: 10616\nMWZ to BOD: 7204\nMWZ to JHG: 8527\nMWZ to YVR: 14839\nMWZ to NNM: 8501\nMWZ to TKP: 19351\nBOD to JHG: 9744\nBOD to YVR: 8290\nBOD to NNM: 4069\nBOD to TKP: 16733\nYVR to JHG: 10997\nYVR to NNM: 9883\nYVR to TKP: 8983\nNNM to JHG: 7190\nNNM to TKP: 17701\nJHG to TKP: 14194\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGU, PEK, YHM, PKC, HBX, RJH, ILD, ABX, LXA\n- Travel distances (in kilometers) between each pair of airports:\nTGU to LXA: 16135\nTGU to PEK: 13512\nTGU to RJH: 16618\nTGU to ILD: 9449\nTGU to ABX: 16402\nTGU to PKC: 15809\nTGU to HBX: 16262\nTGU to YHM: 5463\nPEK to LXA: 2623\nPEK to RJH: 3561\nPEK to ILD: 9215\nPEK to ABX: 9374\nPEK to PKC: 3449\nPEK to HBX: 5262\nPEK to YHM: 11874\nYHM to LXA: 14024\nYHM to RJH: 14114\nYHM to ILD: 7561\nYHM to ABX: 16332\nYHM to PKC: 13826\nYHM to HBX: 13596\nPKC to LXA: 6019\nPKC to RJH: 7008\nPKC to ILD: 10166\nPKC to ABX: 11466\nPKC to HBX: 8658\nHBX to LXA: 2639\nHBX to RJH: 2386\nHBX to ILD: 7833\nHBX to ABX: 9836\nRJH to LXA: 1424\nRJH to ILD: 8682\nRJH to ABX: 9350\nILD to LXA: 8404\nILD to ABX: 17402\nABX to LXA: 9900\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58607,
"style": "rule"
}
|
{
"exact_answer": 58607,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGU\", \"id\": 0}, {\"name\": \"PEK\", \"id\": 1}, {\"name\": \"YHM\", \"id\": 2}, {\"name\": \"PKC\", \"id\": 3}, {\"name\": \"HBX\", \"id\": 4}, {\"name\": \"RJH\", \"id\": 5}, {\"name\": \"ILD\", \"id\": 6}, {\"name\": \"ABX\", \"id\": 7}, {\"name\": \"LXA\", \"id\": 8}], \"links\": [{\"weight\": 16135, \"source\": 0, \"target\": 8}, {\"weight\": 13512, \"source\": 0, \"target\": 1}, {\"weight\": 16618, \"source\": 0, \"target\": 5}, {\"weight\": 9449, \"source\": 0, \"target\": 6}, {\"weight\": 16402, \"source\": 0, \"target\": 7}, {\"weight\": 15809, \"source\": 0, \"target\": 3}, {\"weight\": 16262, \"source\": 0, \"target\": 4}, {\"weight\": 5463, \"source\": 0, \"target\": 2}, {\"weight\": 2623, \"source\": 1, \"target\": 8}, {\"weight\": 3561, \"source\": 1, \"target\": 5}, {\"weight\": 9215, \"source\": 1, \"target\": 6}, {\"weight\": 9374, \"source\": 1, \"target\": 7}, {\"weight\": 3449, \"source\": 1, \"target\": 3}, {\"weight\": 5262, \"source\": 1, \"target\": 4}, {\"weight\": 11874, \"source\": 1, \"target\": 2}, {\"weight\": 14024, \"source\": 2, \"target\": 8}, {\"weight\": 14114, \"source\": 2, \"target\": 5}, {\"weight\": 7561, \"source\": 2, \"target\": 6}, {\"weight\": 16332, \"source\": 2, \"target\": 7}, {\"weight\": 13826, \"source\": 2, \"target\": 3}, {\"weight\": 13596, \"source\": 2, \"target\": 4}, {\"weight\": 6019, \"source\": 3, \"target\": 8}, {\"weight\": 7008, \"source\": 3, \"target\": 5}, {\"weight\": 10166, \"source\": 3, \"target\": 6}, {\"weight\": 11466, \"source\": 3, \"target\": 7}, {\"weight\": 8658, \"source\": 3, \"target\": 4}, {\"weight\": 2639, \"source\": 4, \"target\": 8}, {\"weight\": 2386, \"source\": 4, \"target\": 5}, {\"weight\": 7833, \"source\": 4, \"target\": 6}, {\"weight\": 9836, \"source\": 4, \"target\": 7}, {\"weight\": 1424, \"source\": 5, \"target\": 8}, {\"weight\": 8682, \"source\": 5, \"target\": 6}, {\"weight\": 9350, \"source\": 5, \"target\": 7}, {\"weight\": 8404, \"source\": 6, \"target\": 8}, {\"weight\": 17402, \"source\": 6, \"target\": 7}, {\"weight\": 9900, \"source\": 7, \"target\": 8}]}",
"id": 436,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGU, PEK, YHM, PKC, HBX, RJH, ILD, ABX, LXA\n- Travel distances (in kilometers) between each pair of airports:\nTGU to LXA: 16135\nTGU to PEK: 13512\nTGU to RJH: 16618\nTGU to ILD: 9449\nTGU to ABX: 16402\nTGU to PKC: 15809\nTGU to HBX: 16262\nTGU to YHM: 5463\nPEK to LXA: 2623\nPEK to RJH: 3561\nPEK to ILD: 9215\nPEK to ABX: 9374\nPEK to PKC: 3449\nPEK to HBX: 5262\nPEK to YHM: 11874\nYHM to LXA: 14024\nYHM to RJH: 14114\nYHM to ILD: 7561\nYHM to ABX: 16332\nYHM to PKC: 13826\nYHM to HBX: 13596\nPKC to LXA: 6019\nPKC to RJH: 7008\nPKC to ILD: 10166\nPKC to ABX: 11466\nPKC to HBX: 8658\nHBX to LXA: 2639\nHBX to RJH: 2386\nHBX to ILD: 7833\nHBX to ABX: 9836\nRJH to LXA: 1424\nRJH to ILD: 8682\nRJH to ABX: 9350\nILD to LXA: 8404\nILD to ABX: 17402\nABX to LXA: 9900\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZFN, JAC, DLE, JGN, OPO, ABI, PHF, PSO, LDU\n- Travel distances (in kilometers) between each pair of airports:\nZFN to JGN: 12565\nZFN to PSO: 8415\nZFN to OPO: 9401\nZFN to ABI: 4534\nZFN to PHF: 4669\nZFN to JAC: 3389\nZFN to DLE: 10621\nZFN to LDU: 14260\nJAC to JGN: 11707\nJAC to PSO: 5851\nJAC to OPO: 8405\nJAC to ABI: 1937\nJAC to PHF: 3112\nJAC to DLE: 9700\nJAC to LDU: 13495\nDLE to OPO: 1295\nDLE to JGN: 10957\nDLE to PSO: 9427\nDLE to ABI: 9113\nDLE to PHF: 7107\nDLE to LDU: 14127\nJGN to PSO: 16863\nJGN to OPO: 9662\nJGN to ABI: 13169\nJGN to PHF: 13024\nJGN to LDU: 4546\nOPO to PSO: 8132\nOPO to ABI: 7818\nOPO to PHF: 5812\nOPO to LDU: 12832\nABI to PSO: 4420\nABI to PHF: 2207\nABI to LDU: 14988\nPHF to PSO: 4140\nPHF to LDU: 15426\nPSO to LDU: 18872\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50756,
"style": "rule"
}
|
{
"exact_answer": 50756,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZFN\", \"id\": 0}, {\"name\": \"JAC\", \"id\": 1}, {\"name\": \"DLE\", \"id\": 2}, {\"name\": \"JGN\", \"id\": 3}, {\"name\": \"OPO\", \"id\": 4}, {\"name\": \"ABI\", \"id\": 5}, {\"name\": \"PHF\", \"id\": 6}, {\"name\": \"PSO\", \"id\": 7}, {\"name\": \"LDU\", \"id\": 8}], \"links\": [{\"weight\": 12565, \"source\": 0, \"target\": 3}, {\"weight\": 8415, \"source\": 0, \"target\": 7}, {\"weight\": 9401, \"source\": 0, \"target\": 4}, {\"weight\": 4534, \"source\": 0, \"target\": 5}, {\"weight\": 4669, \"source\": 0, \"target\": 6}, {\"weight\": 3389, \"source\": 0, \"target\": 1}, {\"weight\": 10621, \"source\": 0, \"target\": 2}, {\"weight\": 14260, \"source\": 0, \"target\": 8}, {\"weight\": 11707, \"source\": 1, \"target\": 3}, {\"weight\": 5851, \"source\": 1, \"target\": 7}, {\"weight\": 8405, \"source\": 1, \"target\": 4}, {\"weight\": 1937, \"source\": 1, \"target\": 5}, {\"weight\": 3112, \"source\": 1, \"target\": 6}, {\"weight\": 9700, \"source\": 1, \"target\": 2}, {\"weight\": 13495, \"source\": 1, \"target\": 8}, {\"weight\": 1295, \"source\": 2, \"target\": 4}, {\"weight\": 10957, \"source\": 2, \"target\": 3}, {\"weight\": 9427, \"source\": 2, \"target\": 7}, {\"weight\": 9113, \"source\": 2, \"target\": 5}, {\"weight\": 7107, \"source\": 2, \"target\": 6}, {\"weight\": 14127, \"source\": 2, \"target\": 8}, {\"weight\": 16863, \"source\": 3, \"target\": 7}, {\"weight\": 9662, \"source\": 3, \"target\": 4}, {\"weight\": 13169, \"source\": 3, \"target\": 5}, {\"weight\": 13024, \"source\": 3, \"target\": 6}, {\"weight\": 4546, \"source\": 3, \"target\": 8}, {\"weight\": 8132, \"source\": 4, \"target\": 7}, {\"weight\": 7818, \"source\": 4, \"target\": 5}, {\"weight\": 5812, \"source\": 4, \"target\": 6}, {\"weight\": 12832, \"source\": 4, \"target\": 8}, {\"weight\": 4420, \"source\": 5, \"target\": 7}, {\"weight\": 2207, \"source\": 5, \"target\": 6}, {\"weight\": 14988, \"source\": 5, \"target\": 8}, {\"weight\": 4140, \"source\": 6, \"target\": 7}, {\"weight\": 15426, \"source\": 6, \"target\": 8}, {\"weight\": 18872, \"source\": 7, \"target\": 8}]}",
"id": 437,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZFN, JAC, DLE, JGN, OPO, ABI, PHF, PSO, LDU\n- Travel distances (in kilometers) between each pair of airports:\nZFN to JGN: 12565\nZFN to PSO: 8415\nZFN to OPO: 9401\nZFN to ABI: 4534\nZFN to PHF: 4669\nZFN to JAC: 3389\nZFN to DLE: 10621\nZFN to LDU: 14260\nJAC to JGN: 11707\nJAC to PSO: 5851\nJAC to OPO: 8405\nJAC to ABI: 1937\nJAC to PHF: 3112\nJAC to DLE: 9700\nJAC to LDU: 13495\nDLE to OPO: 1295\nDLE to JGN: 10957\nDLE to PSO: 9427\nDLE to ABI: 9113\nDLE to PHF: 7107\nDLE to LDU: 14127\nJGN to PSO: 16863\nJGN to OPO: 9662\nJGN to ABI: 13169\nJGN to PHF: 13024\nJGN to LDU: 4546\nOPO to PSO: 8132\nOPO to ABI: 7818\nOPO to PHF: 5812\nOPO to LDU: 12832\nABI to PSO: 4420\nABI to PHF: 2207\nABI to LDU: 14988\nPHF to PSO: 4140\nPHF to LDU: 15426\nPSO to LDU: 18872\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FON, OGD, KCC, NVI, ATD, PRG, IXJ, KDU, DIB\n- Travel distances (in kilometers) between each pair of airports:\nFON to NVI: 13769\nFON to PRG: 9913\nFON to IXJ: 15446\nFON to DIB: 17139\nFON to OGD: 5694\nFON to ATD: 15554\nFON to KCC: 6777\nFON to KDU: 15069\nOGD to NVI: 13967\nOGD to PRG: 10304\nOGD to IXJ: 15625\nOGD to DIB: 15622\nOGD to ATD: 12806\nOGD to KCC: 3909\nOGD to KDU: 15148\nKCC to NVI: 13000\nKCC to PRG: 9729\nKCC to IXJ: 14187\nKCC to DIB: 14099\nKCC to ATD: 12820\nKCC to KDU: 14062\nNVI to PRG: 4310\nNVI to IXJ: 1936\nNVI to DIB: 3709\nNVI to ATD: 11752\nNVI to KDU: 2642\nATD to PRG: 15386\nATD to IXJ: 10839\nATD to DIB: 9695\nATD to KDU: 11308\nPRG to IXJ: 5777\nPRG to DIB: 7517\nPRG to KDU: 5437\nIXJ to DIB: 2267\nIXJ to KDU: 1483\nKDU to DIB: 2736\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52496,
"style": "rule"
}
|
{
"exact_answer": 52496,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FON\", \"id\": 0}, {\"name\": \"OGD\", \"id\": 1}, {\"name\": \"KCC\", \"id\": 2}, {\"name\": \"NVI\", \"id\": 3}, {\"name\": \"ATD\", \"id\": 4}, {\"name\": \"PRG\", \"id\": 5}, {\"name\": \"IXJ\", \"id\": 6}, {\"name\": \"KDU\", \"id\": 7}, {\"name\": \"DIB\", \"id\": 8}], \"links\": [{\"weight\": 13769, \"source\": 0, \"target\": 3}, {\"weight\": 9913, \"source\": 0, \"target\": 5}, {\"weight\": 15446, \"source\": 0, \"target\": 6}, {\"weight\": 17139, \"source\": 0, \"target\": 8}, {\"weight\": 5694, \"source\": 0, \"target\": 1}, {\"weight\": 15554, \"source\": 0, \"target\": 4}, {\"weight\": 6777, \"source\": 0, \"target\": 2}, {\"weight\": 15069, \"source\": 0, \"target\": 7}, {\"weight\": 13967, \"source\": 1, \"target\": 3}, {\"weight\": 10304, \"source\": 1, \"target\": 5}, {\"weight\": 15625, \"source\": 1, \"target\": 6}, {\"weight\": 15622, \"source\": 1, \"target\": 8}, {\"weight\": 12806, \"source\": 1, \"target\": 4}, {\"weight\": 3909, \"source\": 1, \"target\": 2}, {\"weight\": 15148, \"source\": 1, \"target\": 7}, {\"weight\": 13000, \"source\": 2, \"target\": 3}, {\"weight\": 9729, \"source\": 2, \"target\": 5}, {\"weight\": 14187, \"source\": 2, \"target\": 6}, {\"weight\": 14099, \"source\": 2, \"target\": 8}, {\"weight\": 12820, \"source\": 2, \"target\": 4}, {\"weight\": 14062, \"source\": 2, \"target\": 7}, {\"weight\": 4310, \"source\": 3, \"target\": 5}, {\"weight\": 1936, \"source\": 3, \"target\": 6}, {\"weight\": 3709, \"source\": 3, \"target\": 8}, {\"weight\": 11752, \"source\": 3, \"target\": 4}, {\"weight\": 2642, \"source\": 3, \"target\": 7}, {\"weight\": 15386, \"source\": 4, \"target\": 5}, {\"weight\": 10839, \"source\": 4, \"target\": 6}, {\"weight\": 9695, \"source\": 4, \"target\": 8}, {\"weight\": 11308, \"source\": 4, \"target\": 7}, {\"weight\": 5777, \"source\": 5, \"target\": 6}, {\"weight\": 7517, \"source\": 5, \"target\": 8}, {\"weight\": 5437, \"source\": 5, \"target\": 7}, {\"weight\": 2267, \"source\": 6, \"target\": 8}, {\"weight\": 1483, \"source\": 6, \"target\": 7}, {\"weight\": 2736, \"source\": 7, \"target\": 8}]}",
"id": 438,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FON, OGD, KCC, NVI, ATD, PRG, IXJ, KDU, DIB\n- Travel distances (in kilometers) between each pair of airports:\nFON to NVI: 13769\nFON to PRG: 9913\nFON to IXJ: 15446\nFON to DIB: 17139\nFON to OGD: 5694\nFON to ATD: 15554\nFON to KCC: 6777\nFON to KDU: 15069\nOGD to NVI: 13967\nOGD to PRG: 10304\nOGD to IXJ: 15625\nOGD to DIB: 15622\nOGD to ATD: 12806\nOGD to KCC: 3909\nOGD to KDU: 15148\nKCC to NVI: 13000\nKCC to PRG: 9729\nKCC to IXJ: 14187\nKCC to DIB: 14099\nKCC to ATD: 12820\nKCC to KDU: 14062\nNVI to PRG: 4310\nNVI to IXJ: 1936\nNVI to DIB: 3709\nNVI to ATD: 11752\nNVI to KDU: 2642\nATD to PRG: 15386\nATD to IXJ: 10839\nATD to DIB: 9695\nATD to KDU: 11308\nPRG to IXJ: 5777\nPRG to DIB: 7517\nPRG to KDU: 5437\nIXJ to DIB: 2267\nIXJ to KDU: 1483\nKDU to DIB: 2736\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROA, IND, HON, AGX, MSW, PNQ, MDZ, RUR, MVR\n- Travel distances (in kilometers) between each pair of airports:\nROA to PNQ: 13295\nROA to MDZ: 8152\nROA to IND: 938\nROA to AGX: 14702\nROA to HON: 2114\nROA to MVR: 10729\nROA to MSW: 11549\nROA to RUR: 10836\nIND to PNQ: 13375\nIND to MDZ: 8479\nIND to AGX: 14782\nIND to HON: 1534\nIND to MVR: 11147\nIND to MSW: 11818\nIND to RUR: 10095\nHON to PNQ: 14394\nHON to MDZ: 9876\nHON to AGX: 15799\nHON to MVR: 12457\nHON to MSW: 12580\nHON to RUR: 9350\nAGX to PNQ: 1442\nAGX to MDZ: 17592\nAGX to MVR: 9259\nAGX to MSW: 5232\nAGX to RUR: 16414\nMSW to PNQ: 3825\nMSW to MDZ: 12879\nMSW to MVR: 4492\nMSW to RUR: 20215\nPNQ to MDZ: 16360\nPNQ to MVR: 8092\nPNQ to RUR: 16606\nMDZ to MVR: 10393\nMDZ to RUR: 8768\nRUR to MVR: 19157\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55444,
"style": "rule"
}
|
{
"exact_answer": 55444,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROA\", \"id\": 0}, {\"name\": \"IND\", \"id\": 1}, {\"name\": \"HON\", \"id\": 2}, {\"name\": \"AGX\", \"id\": 3}, {\"name\": \"MSW\", \"id\": 4}, {\"name\": \"PNQ\", \"id\": 5}, {\"name\": \"MDZ\", \"id\": 6}, {\"name\": \"RUR\", \"id\": 7}, {\"name\": \"MVR\", \"id\": 8}], \"links\": [{\"weight\": 13295, \"source\": 0, \"target\": 5}, {\"weight\": 8152, \"source\": 0, \"target\": 6}, {\"weight\": 938, \"source\": 0, \"target\": 1}, {\"weight\": 14702, \"source\": 0, \"target\": 3}, {\"weight\": 2114, \"source\": 0, \"target\": 2}, {\"weight\": 10729, \"source\": 0, \"target\": 8}, {\"weight\": 11549, \"source\": 0, \"target\": 4}, {\"weight\": 10836, \"source\": 0, \"target\": 7}, {\"weight\": 13375, \"source\": 1, \"target\": 5}, {\"weight\": 8479, \"source\": 1, \"target\": 6}, {\"weight\": 14782, \"source\": 1, \"target\": 3}, {\"weight\": 1534, \"source\": 1, \"target\": 2}, {\"weight\": 11147, \"source\": 1, \"target\": 8}, {\"weight\": 11818, \"source\": 1, \"target\": 4}, {\"weight\": 10095, \"source\": 1, \"target\": 7}, {\"weight\": 14394, \"source\": 2, \"target\": 5}, {\"weight\": 9876, \"source\": 2, \"target\": 6}, {\"weight\": 15799, \"source\": 2, \"target\": 3}, {\"weight\": 12457, \"source\": 2, \"target\": 8}, {\"weight\": 12580, \"source\": 2, \"target\": 4}, {\"weight\": 9350, \"source\": 2, \"target\": 7}, {\"weight\": 1442, \"source\": 3, \"target\": 5}, {\"weight\": 17592, \"source\": 3, \"target\": 6}, {\"weight\": 9259, \"source\": 3, \"target\": 8}, {\"weight\": 5232, \"source\": 3, \"target\": 4}, {\"weight\": 16414, \"source\": 3, \"target\": 7}, {\"weight\": 3825, \"source\": 4, \"target\": 5}, {\"weight\": 12879, \"source\": 4, \"target\": 6}, {\"weight\": 4492, \"source\": 4, \"target\": 8}, {\"weight\": 20215, \"source\": 4, \"target\": 7}, {\"weight\": 16360, \"source\": 5, \"target\": 6}, {\"weight\": 8092, \"source\": 5, \"target\": 8}, {\"weight\": 16606, \"source\": 5, \"target\": 7}, {\"weight\": 10393, \"source\": 6, \"target\": 8}, {\"weight\": 8768, \"source\": 6, \"target\": 7}, {\"weight\": 19157, \"source\": 7, \"target\": 8}]}",
"id": 439,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROA, IND, HON, AGX, MSW, PNQ, MDZ, RUR, MVR\n- Travel distances (in kilometers) between each pair of airports:\nROA to PNQ: 13295\nROA to MDZ: 8152\nROA to IND: 938\nROA to AGX: 14702\nROA to HON: 2114\nROA to MVR: 10729\nROA to MSW: 11549\nROA to RUR: 10836\nIND to PNQ: 13375\nIND to MDZ: 8479\nIND to AGX: 14782\nIND to HON: 1534\nIND to MVR: 11147\nIND to MSW: 11818\nIND to RUR: 10095\nHON to PNQ: 14394\nHON to MDZ: 9876\nHON to AGX: 15799\nHON to MVR: 12457\nHON to MSW: 12580\nHON to RUR: 9350\nAGX to PNQ: 1442\nAGX to MDZ: 17592\nAGX to MVR: 9259\nAGX to MSW: 5232\nAGX to RUR: 16414\nMSW to PNQ: 3825\nMSW to MDZ: 12879\nMSW to MVR: 4492\nMSW to RUR: 20215\nPNQ to MDZ: 16360\nPNQ to MVR: 8092\nPNQ to RUR: 16606\nMDZ to MVR: 10393\nMDZ to RUR: 8768\nRUR to MVR: 19157\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTL, YCY, BAZ, CRL, MLH, SOQ, UYN, KLR, SSG\n- Travel distances (in kilometers) between each pair of airports:\nKTL to UYN: 9622\nKTL to YCY: 14578\nKTL to MLH: 7295\nKTL to BAZ: 12985\nKTL to SSG: 3989\nKTL to KLR: 8116\nKTL to CRL: 7529\nKTL to SOQ: 11713\nYCY to UYN: 14002\nYCY to MLH: 7712\nYCY to BAZ: 9025\nYCY to SSG: 12202\nYCY to KLR: 8702\nYCY to CRL: 7748\nYCY to SOQ: 19028\nBAZ to UYN: 17264\nBAZ to MLH: 9824\nBAZ to SSG: 9203\nBAZ to KLR: 10933\nBAZ to CRL: 9774\nBAZ to SOQ: 22252\nCRL to UYN: 8522\nCRL to MLH: 1280\nCRL to SSG: 5473\nCRL to KLR: 2283\nCRL to SOQ: 13685\nMLH to UYN: 9020\nMLH to SSG: 5197\nMLH to KLR: 2316\nMLH to SOQ: 13566\nSOQ to UYN: 6321\nSOQ to SSG: 14116\nSOQ to KLR: 12981\nUYN to SSG: 11428\nUYN to KLR: 7558\nKLR to SSG: 6733\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59084,
"style": "rule"
}
|
{
"exact_answer": 59084,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KTL\", \"id\": 0}, {\"name\": \"YCY\", \"id\": 1}, {\"name\": \"BAZ\", \"id\": 2}, {\"name\": \"CRL\", \"id\": 3}, {\"name\": \"MLH\", \"id\": 4}, {\"name\": \"SOQ\", \"id\": 5}, {\"name\": \"UYN\", \"id\": 6}, {\"name\": \"KLR\", \"id\": 7}, {\"name\": \"SSG\", \"id\": 8}], \"links\": [{\"weight\": 9622, \"source\": 0, \"target\": 6}, {\"weight\": 14578, \"source\": 0, \"target\": 1}, {\"weight\": 7295, \"source\": 0, \"target\": 4}, {\"weight\": 12985, \"source\": 0, \"target\": 2}, {\"weight\": 3989, \"source\": 0, \"target\": 8}, {\"weight\": 8116, \"source\": 0, \"target\": 7}, {\"weight\": 7529, \"source\": 0, \"target\": 3}, {\"weight\": 11713, \"source\": 0, \"target\": 5}, {\"weight\": 14002, \"source\": 1, \"target\": 6}, {\"weight\": 7712, \"source\": 1, \"target\": 4}, {\"weight\": 9025, \"source\": 1, \"target\": 2}, {\"weight\": 12202, \"source\": 1, \"target\": 8}, {\"weight\": 8702, \"source\": 1, \"target\": 7}, {\"weight\": 7748, \"source\": 1, \"target\": 3}, {\"weight\": 19028, \"source\": 1, \"target\": 5}, {\"weight\": 17264, \"source\": 2, \"target\": 6}, {\"weight\": 9824, \"source\": 2, \"target\": 4}, {\"weight\": 9203, \"source\": 2, \"target\": 8}, {\"weight\": 10933, \"source\": 2, \"target\": 7}, {\"weight\": 9774, \"source\": 2, \"target\": 3}, {\"weight\": 22252, \"source\": 2, \"target\": 5}, {\"weight\": 8522, \"source\": 3, \"target\": 6}, {\"weight\": 1280, \"source\": 3, \"target\": 4}, {\"weight\": 5473, \"source\": 3, \"target\": 8}, {\"weight\": 2283, \"source\": 3, \"target\": 7}, {\"weight\": 13685, \"source\": 3, \"target\": 5}, {\"weight\": 9020, \"source\": 4, \"target\": 6}, {\"weight\": 5197, \"source\": 4, \"target\": 8}, {\"weight\": 2316, \"source\": 4, \"target\": 7}, {\"weight\": 13566, \"source\": 4, \"target\": 5}, {\"weight\": 6321, \"source\": 5, \"target\": 6}, {\"weight\": 14116, \"source\": 5, \"target\": 8}, {\"weight\": 12981, \"source\": 5, \"target\": 7}, {\"weight\": 11428, \"source\": 6, \"target\": 8}, {\"weight\": 7558, \"source\": 6, \"target\": 7}, {\"weight\": 6733, \"source\": 7, \"target\": 8}]}",
"id": 440,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTL, YCY, BAZ, CRL, MLH, SOQ, UYN, KLR, SSG\n- Travel distances (in kilometers) between each pair of airports:\nKTL to UYN: 9622\nKTL to YCY: 14578\nKTL to MLH: 7295\nKTL to BAZ: 12985\nKTL to SSG: 3989\nKTL to KLR: 8116\nKTL to CRL: 7529\nKTL to SOQ: 11713\nYCY to UYN: 14002\nYCY to MLH: 7712\nYCY to BAZ: 9025\nYCY to SSG: 12202\nYCY to KLR: 8702\nYCY to CRL: 7748\nYCY to SOQ: 19028\nBAZ to UYN: 17264\nBAZ to MLH: 9824\nBAZ to SSG: 9203\nBAZ to KLR: 10933\nBAZ to CRL: 9774\nBAZ to SOQ: 22252\nCRL to UYN: 8522\nCRL to MLH: 1280\nCRL to SSG: 5473\nCRL to KLR: 2283\nCRL to SOQ: 13685\nMLH to UYN: 9020\nMLH to SSG: 5197\nMLH to KLR: 2316\nMLH to SOQ: 13566\nSOQ to UYN: 6321\nSOQ to SSG: 14116\nSOQ to KLR: 12981\nUYN to SSG: 11428\nUYN to KLR: 7558\nKLR to SSG: 6733\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAM, EDR, ENE, JNN, POZ, NKI, WSN, RAK, LWS\n- Travel distances (in kilometers) between each pair of airports:\nIAM to RAK: 2169\nIAM to POZ: 3066\nIAM to LWS: 10891\nIAM to ENE: 14093\nIAM to JNN: 6660\nIAM to WSN: 13279\nIAM to NKI: 11715\nIAM to EDR: 17099\nEDR to RAK: 17520\nEDR to POZ: 14619\nEDR to LWS: 14164\nEDR to ENE: 4651\nEDR to JNN: 18315\nEDR to WSN: 14394\nEDR to NKI: 14988\nENE to RAK: 14507\nENE to POZ: 12091\nENE to LWS: 14401\nENE to JNN: 16025\nENE to WSN: 16789\nENE to NKI: 15225\nJNN to RAK: 6057\nJNN to POZ: 4589\nJNN to LWS: 8229\nJNN to WSN: 10617\nJNN to NKI: 9053\nPOZ to RAK: 3067\nPOZ to LWS: 8820\nPOZ to WSN: 11208\nPOZ to NKI: 9644\nNKI to RAK: 10847\nNKI to LWS: 1662\nNKI to WSN: 1924\nWSN to RAK: 11922\nWSN to LWS: 3226\nRAK to LWS: 9548\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54243,
"style": "rule"
}
|
{
"exact_answer": 54243,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IAM\", \"id\": 0}, {\"name\": \"EDR\", \"id\": 1}, {\"name\": \"ENE\", \"id\": 2}, {\"name\": \"JNN\", \"id\": 3}, {\"name\": \"POZ\", \"id\": 4}, {\"name\": \"NKI\", \"id\": 5}, {\"name\": \"WSN\", \"id\": 6}, {\"name\": \"RAK\", \"id\": 7}, {\"name\": \"LWS\", \"id\": 8}], \"links\": [{\"weight\": 2169, \"source\": 0, \"target\": 7}, {\"weight\": 3066, \"source\": 0, \"target\": 4}, {\"weight\": 10891, \"source\": 0, \"target\": 8}, {\"weight\": 14093, \"source\": 0, \"target\": 2}, {\"weight\": 6660, \"source\": 0, \"target\": 3}, {\"weight\": 13279, \"source\": 0, \"target\": 6}, {\"weight\": 11715, \"source\": 0, \"target\": 5}, {\"weight\": 17099, \"source\": 0, \"target\": 1}, {\"weight\": 17520, \"source\": 1, \"target\": 7}, {\"weight\": 14619, \"source\": 1, \"target\": 4}, {\"weight\": 14164, \"source\": 1, \"target\": 8}, {\"weight\": 4651, \"source\": 1, \"target\": 2}, {\"weight\": 18315, \"source\": 1, \"target\": 3}, {\"weight\": 14394, \"source\": 1, \"target\": 6}, {\"weight\": 14988, \"source\": 1, \"target\": 5}, {\"weight\": 14507, \"source\": 2, \"target\": 7}, {\"weight\": 12091, \"source\": 2, \"target\": 4}, {\"weight\": 14401, \"source\": 2, \"target\": 8}, {\"weight\": 16025, \"source\": 2, \"target\": 3}, {\"weight\": 16789, \"source\": 2, \"target\": 6}, {\"weight\": 15225, \"source\": 2, \"target\": 5}, {\"weight\": 6057, \"source\": 3, \"target\": 7}, {\"weight\": 4589, \"source\": 3, \"target\": 4}, {\"weight\": 8229, \"source\": 3, \"target\": 8}, {\"weight\": 10617, \"source\": 3, \"target\": 6}, {\"weight\": 9053, \"source\": 3, \"target\": 5}, {\"weight\": 3067, \"source\": 4, \"target\": 7}, {\"weight\": 8820, \"source\": 4, \"target\": 8}, {\"weight\": 11208, \"source\": 4, \"target\": 6}, {\"weight\": 9644, \"source\": 4, \"target\": 5}, {\"weight\": 10847, \"source\": 5, \"target\": 7}, {\"weight\": 1662, \"source\": 5, \"target\": 8}, {\"weight\": 1924, \"source\": 5, \"target\": 6}, {\"weight\": 11922, \"source\": 6, \"target\": 7}, {\"weight\": 3226, \"source\": 6, \"target\": 8}, {\"weight\": 9548, \"source\": 7, \"target\": 8}]}",
"id": 441,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IAM, EDR, ENE, JNN, POZ, NKI, WSN, RAK, LWS\n- Travel distances (in kilometers) between each pair of airports:\nIAM to RAK: 2169\nIAM to POZ: 3066\nIAM to LWS: 10891\nIAM to ENE: 14093\nIAM to JNN: 6660\nIAM to WSN: 13279\nIAM to NKI: 11715\nIAM to EDR: 17099\nEDR to RAK: 17520\nEDR to POZ: 14619\nEDR to LWS: 14164\nEDR to ENE: 4651\nEDR to JNN: 18315\nEDR to WSN: 14394\nEDR to NKI: 14988\nENE to RAK: 14507\nENE to POZ: 12091\nENE to LWS: 14401\nENE to JNN: 16025\nENE to WSN: 16789\nENE to NKI: 15225\nJNN to RAK: 6057\nJNN to POZ: 4589\nJNN to LWS: 8229\nJNN to WSN: 10617\nJNN to NKI: 9053\nPOZ to RAK: 3067\nPOZ to LWS: 8820\nPOZ to WSN: 11208\nPOZ to NKI: 9644\nNKI to RAK: 10847\nNKI to LWS: 1662\nNKI to WSN: 1924\nWSN to RAK: 11922\nWSN to LWS: 3226\nRAK to LWS: 9548\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSJ, LDS, LDE, PYJ, AGP, LEN, PDA, YLL, ULG\n- Travel distances (in kilometers) between each pair of airports:\nMSJ to AGP: 11766\nMSJ to PYJ: 4984\nMSJ to YLL: 9196\nMSJ to PDA: 15595\nMSJ to LDE: 11175\nMSJ to LDS: 2782\nMSJ to ULG: 5015\nMSJ to LEN: 11696\nLDS to AGP: 9992\nLDS to PYJ: 3125\nLDS to YLL: 10241\nLDS to PDA: 16783\nLDS to LDE: 9268\nLDS to ULG: 3160\nLDS to LEN: 9882\nLDE to AGP: 851\nLDE to PYJ: 6996\nLDE to YLL: 8344\nLDE to PDA: 9148\nLDE to ULG: 8937\nLDE to LEN: 1558\nPYJ to AGP: 7712\nPYJ to YLL: 12310\nPYJ to PDA: 15577\nPYJ to ULG: 4766\nPYJ to LEN: 7602\nAGP to YLL: 8973\nAGP to PDA: 8691\nAGP to ULG: 9661\nAGP to LEN: 1420\nLEN to YLL: 9173\nLEN to PDA: 9864\nLEN to ULG: 9551\nPDA to YLL: 7428\nPDA to ULG: 17485\nYLL to ULG: 11953\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45997,
"style": "rule"
}
|
{
"exact_answer": 45997,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSJ\", \"id\": 0}, {\"name\": \"LDS\", \"id\": 1}, {\"name\": \"LDE\", \"id\": 2}, {\"name\": \"PYJ\", \"id\": 3}, {\"name\": \"AGP\", \"id\": 4}, {\"name\": \"LEN\", \"id\": 5}, {\"name\": \"PDA\", \"id\": 6}, {\"name\": \"YLL\", \"id\": 7}, {\"name\": \"ULG\", \"id\": 8}], \"links\": [{\"weight\": 11766, \"source\": 0, \"target\": 4}, {\"weight\": 4984, \"source\": 0, \"target\": 3}, {\"weight\": 9196, \"source\": 0, \"target\": 7}, {\"weight\": 15595, \"source\": 0, \"target\": 6}, {\"weight\": 11175, \"source\": 0, \"target\": 2}, {\"weight\": 2782, \"source\": 0, \"target\": 1}, {\"weight\": 5015, \"source\": 0, \"target\": 8}, {\"weight\": 11696, \"source\": 0, \"target\": 5}, {\"weight\": 9992, \"source\": 1, \"target\": 4}, {\"weight\": 3125, \"source\": 1, \"target\": 3}, {\"weight\": 10241, \"source\": 1, \"target\": 7}, {\"weight\": 16783, \"source\": 1, \"target\": 6}, {\"weight\": 9268, \"source\": 1, \"target\": 2}, {\"weight\": 3160, \"source\": 1, \"target\": 8}, {\"weight\": 9882, \"source\": 1, \"target\": 5}, {\"weight\": 851, \"source\": 2, \"target\": 4}, {\"weight\": 6996, \"source\": 2, \"target\": 3}, {\"weight\": 8344, \"source\": 2, \"target\": 7}, {\"weight\": 9148, \"source\": 2, \"target\": 6}, {\"weight\": 8937, \"source\": 2, \"target\": 8}, {\"weight\": 1558, \"source\": 2, \"target\": 5}, {\"weight\": 7712, \"source\": 3, \"target\": 4}, {\"weight\": 12310, \"source\": 3, \"target\": 7}, {\"weight\": 15577, \"source\": 3, \"target\": 6}, {\"weight\": 4766, \"source\": 3, \"target\": 8}, {\"weight\": 7602, \"source\": 3, \"target\": 5}, {\"weight\": 8973, \"source\": 4, \"target\": 7}, {\"weight\": 8691, \"source\": 4, \"target\": 6}, {\"weight\": 9661, \"source\": 4, \"target\": 8}, {\"weight\": 1420, \"source\": 4, \"target\": 5}, {\"weight\": 9173, \"source\": 5, \"target\": 7}, {\"weight\": 9864, \"source\": 5, \"target\": 6}, {\"weight\": 9551, \"source\": 5, \"target\": 8}, {\"weight\": 7428, \"source\": 6, \"target\": 7}, {\"weight\": 17485, \"source\": 6, \"target\": 8}, {\"weight\": 11953, \"source\": 7, \"target\": 8}]}",
"id": 442,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSJ, LDS, LDE, PYJ, AGP, LEN, PDA, YLL, ULG\n- Travel distances (in kilometers) between each pair of airports:\nMSJ to AGP: 11766\nMSJ to PYJ: 4984\nMSJ to YLL: 9196\nMSJ to PDA: 15595\nMSJ to LDE: 11175\nMSJ to LDS: 2782\nMSJ to ULG: 5015\nMSJ to LEN: 11696\nLDS to AGP: 9992\nLDS to PYJ: 3125\nLDS to YLL: 10241\nLDS to PDA: 16783\nLDS to LDE: 9268\nLDS to ULG: 3160\nLDS to LEN: 9882\nLDE to AGP: 851\nLDE to PYJ: 6996\nLDE to YLL: 8344\nLDE to PDA: 9148\nLDE to ULG: 8937\nLDE to LEN: 1558\nPYJ to AGP: 7712\nPYJ to YLL: 12310\nPYJ to PDA: 15577\nPYJ to ULG: 4766\nPYJ to LEN: 7602\nAGP to YLL: 8973\nAGP to PDA: 8691\nAGP to ULG: 9661\nAGP to LEN: 1420\nLEN to YLL: 9173\nLEN to PDA: 9864\nLEN to ULG: 9551\nPDA to YLL: 7428\nPDA to ULG: 17485\nYLL to ULG: 11953\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAO, MRV, STI, MCN, JJN, ESL, CCC, BAH, MKM\n- Travel distances (in kilometers) between each pair of airports:\nTAO to MRV: 6464\nTAO to MCN: 12170\nTAO to JJN: 1294\nTAO to ESL: 7421\nTAO to BAH: 6740\nTAO to STI: 13894\nTAO to CCC: 13460\nTAO to MKM: 3963\nMRV to MCN: 10138\nMRV to JJN: 7095\nMRV to ESL: 2395\nMRV to BAH: 2276\nMRV to STI: 10936\nMRV to CCC: 10974\nMRV to MKM: 8596\nSTI to MCN: 2016\nSTI to JJN: 15022\nSTI to ESL: 10906\nSTI to BAH: 12290\nSTI to CCC: 1929\nSTI to MKM: 17668\nMCN to JJN: 13209\nMCN to ESL: 9959\nMCN to BAH: 11964\nMCN to CCC: 2033\nMCN to MKM: 15813\nJJN to ESL: 8552\nJJN to BAH: 6827\nJJN to CCC: 14548\nJJN to MKM: 2938\nESL to BAH: 4571\nESL to CCC: 10782\nESL to MKM: 10351\nCCC to BAH: 12369\nCCC to MKM: 17143\nBAH to MKM: 7237\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43037,
"style": "rule"
}
|
{
"exact_answer": 43037,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TAO\", \"id\": 0}, {\"name\": \"MRV\", \"id\": 1}, {\"name\": \"STI\", \"id\": 2}, {\"name\": \"MCN\", \"id\": 3}, {\"name\": \"JJN\", \"id\": 4}, {\"name\": \"ESL\", \"id\": 5}, {\"name\": \"CCC\", \"id\": 6}, {\"name\": \"BAH\", \"id\": 7}, {\"name\": \"MKM\", \"id\": 8}], \"links\": [{\"weight\": 6464, \"source\": 0, \"target\": 1}, {\"weight\": 12170, \"source\": 0, \"target\": 3}, {\"weight\": 1294, \"source\": 0, \"target\": 4}, {\"weight\": 7421, \"source\": 0, \"target\": 5}, {\"weight\": 6740, \"source\": 0, \"target\": 7}, {\"weight\": 13894, \"source\": 0, \"target\": 2}, {\"weight\": 13460, \"source\": 0, \"target\": 6}, {\"weight\": 3963, \"source\": 0, \"target\": 8}, {\"weight\": 10138, \"source\": 1, \"target\": 3}, {\"weight\": 7095, \"source\": 1, \"target\": 4}, {\"weight\": 2395, \"source\": 1, \"target\": 5}, {\"weight\": 2276, \"source\": 1, \"target\": 7}, {\"weight\": 10936, \"source\": 1, \"target\": 2}, {\"weight\": 10974, \"source\": 1, \"target\": 6}, {\"weight\": 8596, \"source\": 1, \"target\": 8}, {\"weight\": 2016, \"source\": 2, \"target\": 3}, {\"weight\": 15022, \"source\": 2, \"target\": 4}, {\"weight\": 10906, \"source\": 2, \"target\": 5}, {\"weight\": 12290, \"source\": 2, \"target\": 7}, {\"weight\": 1929, \"source\": 2, \"target\": 6}, {\"weight\": 17668, \"source\": 2, \"target\": 8}, {\"weight\": 13209, \"source\": 3, \"target\": 4}, {\"weight\": 9959, \"source\": 3, \"target\": 5}, {\"weight\": 11964, \"source\": 3, \"target\": 7}, {\"weight\": 2033, \"source\": 3, \"target\": 6}, {\"weight\": 15813, \"source\": 3, \"target\": 8}, {\"weight\": 8552, \"source\": 4, \"target\": 5}, {\"weight\": 6827, \"source\": 4, \"target\": 7}, {\"weight\": 14548, \"source\": 4, \"target\": 6}, {\"weight\": 2938, \"source\": 4, \"target\": 8}, {\"weight\": 4571, \"source\": 5, \"target\": 7}, {\"weight\": 10782, \"source\": 5, \"target\": 6}, {\"weight\": 10351, \"source\": 5, \"target\": 8}, {\"weight\": 12369, \"source\": 6, \"target\": 7}, {\"weight\": 17143, \"source\": 6, \"target\": 8}, {\"weight\": 7237, \"source\": 7, \"target\": 8}]}",
"id": 443,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAO, MRV, STI, MCN, JJN, ESL, CCC, BAH, MKM\n- Travel distances (in kilometers) between each pair of airports:\nTAO to MRV: 6464\nTAO to MCN: 12170\nTAO to JJN: 1294\nTAO to ESL: 7421\nTAO to BAH: 6740\nTAO to STI: 13894\nTAO to CCC: 13460\nTAO to MKM: 3963\nMRV to MCN: 10138\nMRV to JJN: 7095\nMRV to ESL: 2395\nMRV to BAH: 2276\nMRV to STI: 10936\nMRV to CCC: 10974\nMRV to MKM: 8596\nSTI to MCN: 2016\nSTI to JJN: 15022\nSTI to ESL: 10906\nSTI to BAH: 12290\nSTI to CCC: 1929\nSTI to MKM: 17668\nMCN to JJN: 13209\nMCN to ESL: 9959\nMCN to BAH: 11964\nMCN to CCC: 2033\nMCN to MKM: 15813\nJJN to ESL: 8552\nJJN to BAH: 6827\nJJN to CCC: 14548\nJJN to MKM: 2938\nESL to BAH: 4571\nESL to CCC: 10782\nESL to MKM: 10351\nCCC to BAH: 12369\nCCC to MKM: 17143\nBAH to MKM: 7237\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSR, MDG, KOS, TPA, GRR, LGG, MCG, BGA, KVC\n- Travel distances (in kilometers) between each pair of airports:\nMSR to TPA: 10695\nMSR to MCG: 13747\nMSR to GRR: 9811\nMSR to LGG: 3594\nMSR to BGA: 12133\nMSR to MDG: 8869\nMSR to KVC: 14420\nMSR to KOS: 8577\nMDG to TPA: 12801\nMDG to MCG: 11471\nMDG to GRR: 11549\nMDG to LGG: 9711\nMDG to BGA: 15330\nMDG to KVC: 12144\nMDG to KOS: 4594\nKOS to TPA: 15723\nKOS to MCG: 14855\nKOS to GRR: 14312\nKOS to LGG: 10317\nKOS to BGA: 18533\nKOS to KVC: 15528\nTPA to GRR: 1679\nTPA to MCG: 6498\nTPA to LGG: 8157\nTPA to BGA: 2841\nTPA to KVC: 7171\nGRR to MCG: 5049\nGRR to LGG: 7242\nGRR to BGA: 4470\nGRR to KVC: 5722\nLGG to MCG: 11508\nLGG to BGA: 9390\nLGG to KVC: 12181\nMCG to BGA: 9172\nMCG to KVC: 1377\nBGA to KVC: 9845\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49245,
"style": "rule"
}
|
{
"exact_answer": 49245,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSR\", \"id\": 0}, {\"name\": \"MDG\", \"id\": 1}, {\"name\": \"KOS\", \"id\": 2}, {\"name\": \"TPA\", \"id\": 3}, {\"name\": \"GRR\", \"id\": 4}, {\"name\": \"LGG\", \"id\": 5}, {\"name\": \"MCG\", \"id\": 6}, {\"name\": \"BGA\", \"id\": 7}, {\"name\": \"KVC\", \"id\": 8}], \"links\": [{\"weight\": 10695, \"source\": 0, \"target\": 3}, {\"weight\": 13747, \"source\": 0, \"target\": 6}, {\"weight\": 9811, \"source\": 0, \"target\": 4}, {\"weight\": 3594, \"source\": 0, \"target\": 5}, {\"weight\": 12133, \"source\": 0, \"target\": 7}, {\"weight\": 8869, \"source\": 0, \"target\": 1}, {\"weight\": 14420, \"source\": 0, \"target\": 8}, {\"weight\": 8577, \"source\": 0, \"target\": 2}, {\"weight\": 12801, \"source\": 1, \"target\": 3}, {\"weight\": 11471, \"source\": 1, \"target\": 6}, {\"weight\": 11549, \"source\": 1, \"target\": 4}, {\"weight\": 9711, \"source\": 1, \"target\": 5}, {\"weight\": 15330, \"source\": 1, \"target\": 7}, {\"weight\": 12144, \"source\": 1, \"target\": 8}, {\"weight\": 4594, \"source\": 1, \"target\": 2}, {\"weight\": 15723, \"source\": 2, \"target\": 3}, {\"weight\": 14855, \"source\": 2, \"target\": 6}, {\"weight\": 14312, \"source\": 2, \"target\": 4}, {\"weight\": 10317, \"source\": 2, \"target\": 5}, {\"weight\": 18533, \"source\": 2, \"target\": 7}, {\"weight\": 15528, \"source\": 2, \"target\": 8}, {\"weight\": 1679, \"source\": 3, \"target\": 4}, {\"weight\": 6498, \"source\": 3, \"target\": 6}, {\"weight\": 8157, \"source\": 3, \"target\": 5}, {\"weight\": 2841, \"source\": 3, \"target\": 7}, {\"weight\": 7171, \"source\": 3, \"target\": 8}, {\"weight\": 5049, \"source\": 4, \"target\": 6}, {\"weight\": 7242, \"source\": 4, \"target\": 5}, {\"weight\": 4470, \"source\": 4, \"target\": 7}, {\"weight\": 5722, \"source\": 4, \"target\": 8}, {\"weight\": 11508, \"source\": 5, \"target\": 6}, {\"weight\": 9390, \"source\": 5, \"target\": 7}, {\"weight\": 12181, \"source\": 5, \"target\": 8}, {\"weight\": 9172, \"source\": 6, \"target\": 7}, {\"weight\": 1377, \"source\": 6, \"target\": 8}, {\"weight\": 9845, \"source\": 7, \"target\": 8}]}",
"id": 444,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MSR, MDG, KOS, TPA, GRR, LGG, MCG, BGA, KVC\n- Travel distances (in kilometers) between each pair of airports:\nMSR to TPA: 10695\nMSR to MCG: 13747\nMSR to GRR: 9811\nMSR to LGG: 3594\nMSR to BGA: 12133\nMSR to MDG: 8869\nMSR to KVC: 14420\nMSR to KOS: 8577\nMDG to TPA: 12801\nMDG to MCG: 11471\nMDG to GRR: 11549\nMDG to LGG: 9711\nMDG to BGA: 15330\nMDG to KVC: 12144\nMDG to KOS: 4594\nKOS to TPA: 15723\nKOS to MCG: 14855\nKOS to GRR: 14312\nKOS to LGG: 10317\nKOS to BGA: 18533\nKOS to KVC: 15528\nTPA to GRR: 1679\nTPA to MCG: 6498\nTPA to LGG: 8157\nTPA to BGA: 2841\nTPA to KVC: 7171\nGRR to MCG: 5049\nGRR to LGG: 7242\nGRR to BGA: 4470\nGRR to KVC: 5722\nLGG to MCG: 11508\nLGG to BGA: 9390\nLGG to KVC: 12181\nMCG to BGA: 9172\nMCG to KVC: 1377\nBGA to KVC: 9845\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GUM, MRV, REC, PSG, CAN, UDJ, AVL, LLA, AKJ\n- Travel distances (in kilometers) between each pair of airports:\nGUM to MRV: 10038\nGUM to CAN: 3539\nGUM to AVL: 13452\nGUM to REC: 19462\nGUM to PSG: 11444\nGUM to AKJ: 3601\nGUM to LLA: 11338\nGUM to UDJ: 11255\nMRV to CAN: 6841\nMRV to AVL: 9834\nMRV to REC: 10305\nMRV to PSG: 11760\nMRV to AKJ: 8956\nMRV to LLA: 3272\nMRV to UDJ: 2665\nREC to CAN: 16732\nREC to AVL: 7192\nREC to PSG: 11836\nREC to AKJ: 17941\nREC to LLA: 9481\nREC to UDJ: 9834\nPSG to CAN: 11650\nPSG to AVL: 4897\nPSG to AKJ: 9914\nPSG to LLA: 9915\nPSG to UDJ: 11120\nCAN to AVL: 13283\nCAN to AKJ: 3648\nCAN to LLA: 8776\nCAN to UDJ: 8568\nUDJ to AVL: 9174\nUDJ to AKJ: 10098\nUDJ to LLA: 2609\nAVL to AKJ: 12182\nAVL to LLA: 7989\nLLA to AKJ: 9940\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50739,
"style": "rule"
}
|
{
"exact_answer": 50739,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GUM\", \"id\": 0}, {\"name\": \"MRV\", \"id\": 1}, {\"name\": \"REC\", \"id\": 2}, {\"name\": \"PSG\", \"id\": 3}, {\"name\": \"CAN\", \"id\": 4}, {\"name\": \"UDJ\", \"id\": 5}, {\"name\": \"AVL\", \"id\": 6}, {\"name\": \"LLA\", \"id\": 7}, {\"name\": \"AKJ\", \"id\": 8}], \"links\": [{\"weight\": 10038, \"source\": 0, \"target\": 1}, {\"weight\": 3539, \"source\": 0, \"target\": 4}, {\"weight\": 13452, \"source\": 0, \"target\": 6}, {\"weight\": 19462, \"source\": 0, \"target\": 2}, {\"weight\": 11444, \"source\": 0, \"target\": 3}, {\"weight\": 3601, \"source\": 0, \"target\": 8}, {\"weight\": 11338, \"source\": 0, \"target\": 7}, {\"weight\": 11255, \"source\": 0, \"target\": 5}, {\"weight\": 6841, \"source\": 1, \"target\": 4}, {\"weight\": 9834, \"source\": 1, \"target\": 6}, {\"weight\": 10305, \"source\": 1, \"target\": 2}, {\"weight\": 11760, \"source\": 1, \"target\": 3}, {\"weight\": 8956, \"source\": 1, \"target\": 8}, {\"weight\": 3272, \"source\": 1, \"target\": 7}, {\"weight\": 2665, \"source\": 1, \"target\": 5}, {\"weight\": 16732, \"source\": 2, \"target\": 4}, {\"weight\": 7192, \"source\": 2, \"target\": 6}, {\"weight\": 11836, \"source\": 2, \"target\": 3}, {\"weight\": 17941, \"source\": 2, \"target\": 8}, {\"weight\": 9481, \"source\": 2, \"target\": 7}, {\"weight\": 9834, \"source\": 2, \"target\": 5}, {\"weight\": 11650, \"source\": 3, \"target\": 4}, {\"weight\": 4897, \"source\": 3, \"target\": 6}, {\"weight\": 9914, \"source\": 3, \"target\": 8}, {\"weight\": 9915, \"source\": 3, \"target\": 7}, {\"weight\": 11120, \"source\": 3, \"target\": 5}, {\"weight\": 13283, \"source\": 4, \"target\": 6}, {\"weight\": 3648, \"source\": 4, \"target\": 8}, {\"weight\": 8776, \"source\": 4, \"target\": 7}, {\"weight\": 8568, \"source\": 4, \"target\": 5}, {\"weight\": 9174, \"source\": 5, \"target\": 6}, {\"weight\": 10098, \"source\": 5, \"target\": 8}, {\"weight\": 2609, \"source\": 5, \"target\": 7}, {\"weight\": 12182, \"source\": 6, \"target\": 8}, {\"weight\": 7989, \"source\": 6, \"target\": 7}, {\"weight\": 9940, \"source\": 7, \"target\": 8}]}",
"id": 445,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GUM, MRV, REC, PSG, CAN, UDJ, AVL, LLA, AKJ\n- Travel distances (in kilometers) between each pair of airports:\nGUM to MRV: 10038\nGUM to CAN: 3539\nGUM to AVL: 13452\nGUM to REC: 19462\nGUM to PSG: 11444\nGUM to AKJ: 3601\nGUM to LLA: 11338\nGUM to UDJ: 11255\nMRV to CAN: 6841\nMRV to AVL: 9834\nMRV to REC: 10305\nMRV to PSG: 11760\nMRV to AKJ: 8956\nMRV to LLA: 3272\nMRV to UDJ: 2665\nREC to CAN: 16732\nREC to AVL: 7192\nREC to PSG: 11836\nREC to AKJ: 17941\nREC to LLA: 9481\nREC to UDJ: 9834\nPSG to CAN: 11650\nPSG to AVL: 4897\nPSG to AKJ: 9914\nPSG to LLA: 9915\nPSG to UDJ: 11120\nCAN to AVL: 13283\nCAN to AKJ: 3648\nCAN to LLA: 8776\nCAN to UDJ: 8568\nUDJ to AVL: 9174\nUDJ to AKJ: 10098\nUDJ to LLA: 2609\nAVL to AKJ: 12182\nAVL to LLA: 7989\nLLA to AKJ: 9940\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TPP, CAW, PZI, JOS, EAS, BGM, BHM, FRS, KVC\n- Travel distances (in kilometers) between each pair of airports:\nTPP to PZI: 18400\nTPP to FRS: 3615\nTPP to BGM: 5744\nTPP to BHM: 4901\nTPP to CAW: 4668\nTPP to KVC: 11164\nTPP to EAS: 10496\nTPP to JOS: 11135\nCAW to PZI: 17680\nCAW to FRS: 7152\nCAW to BGM: 8332\nCAW to BHM: 8006\nCAW to KVC: 14388\nCAW to EAS: 8319\nCAW to JOS: 7350\nPZI to FRS: 15343\nPZI to BGM: 13305\nPZI to BHM: 13554\nPZI to KVC: 14080\nPZI to EAS: 9700\nPZI to JOS: 11850\nJOS to FRS: 12103\nJOS to BGM: 9558\nJOS to BHM: 10308\nJOS to KVC: 15860\nJOS to EAS: 4880\nEAS to FRS: 8873\nEAS to BGM: 6528\nEAS to BHM: 7502\nEAS to KVC: 12544\nBGM to FRS: 3163\nBGM to BHM: 1456\nBGM to KVC: 6521\nBHM to FRS: 2225\nBHM to KVC: 6442\nFRS to KVC: 8011\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54495,
"style": "rule"
}
|
{
"exact_answer": 54495,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TPP\", \"id\": 0}, {\"name\": \"CAW\", \"id\": 1}, {\"name\": \"PZI\", \"id\": 2}, {\"name\": \"JOS\", \"id\": 3}, {\"name\": \"EAS\", \"id\": 4}, {\"name\": \"BGM\", \"id\": 5}, {\"name\": \"BHM\", \"id\": 6}, {\"name\": \"FRS\", \"id\": 7}, {\"name\": \"KVC\", \"id\": 8}], \"links\": [{\"weight\": 18400, \"source\": 0, \"target\": 2}, {\"weight\": 3615, \"source\": 0, \"target\": 7}, {\"weight\": 5744, \"source\": 0, \"target\": 5}, {\"weight\": 4901, \"source\": 0, \"target\": 6}, {\"weight\": 4668, \"source\": 0, \"target\": 1}, {\"weight\": 11164, \"source\": 0, \"target\": 8}, {\"weight\": 10496, \"source\": 0, \"target\": 4}, {\"weight\": 11135, \"source\": 0, \"target\": 3}, {\"weight\": 17680, \"source\": 1, \"target\": 2}, {\"weight\": 7152, \"source\": 1, \"target\": 7}, {\"weight\": 8332, \"source\": 1, \"target\": 5}, {\"weight\": 8006, \"source\": 1, \"target\": 6}, {\"weight\": 14388, \"source\": 1, \"target\": 8}, {\"weight\": 8319, \"source\": 1, \"target\": 4}, {\"weight\": 7350, \"source\": 1, \"target\": 3}, {\"weight\": 15343, \"source\": 2, \"target\": 7}, {\"weight\": 13305, \"source\": 2, \"target\": 5}, {\"weight\": 13554, \"source\": 2, \"target\": 6}, {\"weight\": 14080, \"source\": 2, \"target\": 8}, {\"weight\": 9700, \"source\": 2, \"target\": 4}, {\"weight\": 11850, \"source\": 2, \"target\": 3}, {\"weight\": 12103, \"source\": 3, \"target\": 7}, {\"weight\": 9558, \"source\": 3, \"target\": 5}, {\"weight\": 10308, \"source\": 3, \"target\": 6}, {\"weight\": 15860, \"source\": 3, \"target\": 8}, {\"weight\": 4880, \"source\": 3, \"target\": 4}, {\"weight\": 8873, \"source\": 4, \"target\": 7}, {\"weight\": 6528, \"source\": 4, \"target\": 5}, {\"weight\": 7502, \"source\": 4, \"target\": 6}, {\"weight\": 12544, \"source\": 4, \"target\": 8}, {\"weight\": 3163, \"source\": 5, \"target\": 7}, {\"weight\": 1456, \"source\": 5, \"target\": 6}, {\"weight\": 6521, \"source\": 5, \"target\": 8}, {\"weight\": 2225, \"source\": 6, \"target\": 7}, {\"weight\": 6442, \"source\": 6, \"target\": 8}, {\"weight\": 8011, \"source\": 7, \"target\": 8}]}",
"id": 446,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TPP, CAW, PZI, JOS, EAS, BGM, BHM, FRS, KVC\n- Travel distances (in kilometers) between each pair of airports:\nTPP to PZI: 18400\nTPP to FRS: 3615\nTPP to BGM: 5744\nTPP to BHM: 4901\nTPP to CAW: 4668\nTPP to KVC: 11164\nTPP to EAS: 10496\nTPP to JOS: 11135\nCAW to PZI: 17680\nCAW to FRS: 7152\nCAW to BGM: 8332\nCAW to BHM: 8006\nCAW to KVC: 14388\nCAW to EAS: 8319\nCAW to JOS: 7350\nPZI to FRS: 15343\nPZI to BGM: 13305\nPZI to BHM: 13554\nPZI to KVC: 14080\nPZI to EAS: 9700\nPZI to JOS: 11850\nJOS to FRS: 12103\nJOS to BGM: 9558\nJOS to BHM: 10308\nJOS to KVC: 15860\nJOS to EAS: 4880\nEAS to FRS: 8873\nEAS to BGM: 6528\nEAS to BHM: 7502\nEAS to KVC: 12544\nBGM to FRS: 3163\nBGM to BHM: 1456\nBGM to KVC: 6521\nBHM to FRS: 2225\nBHM to KVC: 6442\nFRS to KVC: 8011\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DBV, NOJ, ISP, YQX, STD, WLG, NVT, UAS, HIJ\n- Travel distances (in kilometers) between each pair of airports:\nDBV to ISP: 7189\nDBV to YQX: 5637\nDBV to NVT: 10376\nDBV to HIJ: 9494\nDBV to WLG: 18206\nDBV to UAS: 6047\nDBV to STD: 9479\nDBV to NOJ: 4502\nNOJ to ISP: 9727\nNOJ to YQX: 8707\nNOJ to NVT: 14482\nNOJ to HIJ: 6530\nNOJ to WLG: 15883\nNOJ to UAS: 8307\nNOJ to STD: 12993\nISP to YQX: 1724\nISP to NVT: 8314\nISP to HIJ: 11700\nISP to WLG: 15029\nISP to UAS: 12966\nISP to STD: 4212\nYQX to NVT: 9506\nYQX to HIJ: 12932\nYQX to WLG: 16556\nYQX to UAS: 11446\nYQX to STD: 5319\nSTD to NVT: 5481\nSTD to HIJ: 15460\nSTD to WLG: 15687\nSTD to UAS: 14298\nWLG to NVT: 12553\nWLG to HIJ: 10009\nWLG to UAS: 14660\nNVT to HIJ: 19434\nNVT to UAS: 10353\nUAS to HIJ: 11207\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60500,
"style": "rule"
}
|
{
"exact_answer": 60500,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DBV\", \"id\": 0}, {\"name\": \"NOJ\", \"id\": 1}, {\"name\": \"ISP\", \"id\": 2}, {\"name\": \"YQX\", \"id\": 3}, {\"name\": \"STD\", \"id\": 4}, {\"name\": \"WLG\", \"id\": 5}, {\"name\": \"NVT\", \"id\": 6}, {\"name\": \"UAS\", \"id\": 7}, {\"name\": \"HIJ\", \"id\": 8}], \"links\": [{\"weight\": 7189, \"source\": 0, \"target\": 2}, {\"weight\": 5637, \"source\": 0, \"target\": 3}, {\"weight\": 10376, \"source\": 0, \"target\": 6}, {\"weight\": 9494, \"source\": 0, \"target\": 8}, {\"weight\": 18206, \"source\": 0, \"target\": 5}, {\"weight\": 6047, \"source\": 0, \"target\": 7}, {\"weight\": 9479, \"source\": 0, \"target\": 4}, {\"weight\": 4502, \"source\": 0, \"target\": 1}, {\"weight\": 9727, \"source\": 1, \"target\": 2}, {\"weight\": 8707, \"source\": 1, \"target\": 3}, {\"weight\": 14482, \"source\": 1, \"target\": 6}, {\"weight\": 6530, \"source\": 1, \"target\": 8}, {\"weight\": 15883, \"source\": 1, \"target\": 5}, {\"weight\": 8307, \"source\": 1, \"target\": 7}, {\"weight\": 12993, \"source\": 1, \"target\": 4}, {\"weight\": 1724, \"source\": 2, \"target\": 3}, {\"weight\": 8314, \"source\": 2, \"target\": 6}, {\"weight\": 11700, \"source\": 2, \"target\": 8}, {\"weight\": 15029, \"source\": 2, \"target\": 5}, {\"weight\": 12966, \"source\": 2, \"target\": 7}, {\"weight\": 4212, \"source\": 2, \"target\": 4}, {\"weight\": 9506, \"source\": 3, \"target\": 6}, {\"weight\": 12932, \"source\": 3, \"target\": 8}, {\"weight\": 16556, \"source\": 3, \"target\": 5}, {\"weight\": 11446, \"source\": 3, \"target\": 7}, {\"weight\": 5319, \"source\": 3, \"target\": 4}, {\"weight\": 5481, \"source\": 4, \"target\": 6}, {\"weight\": 15460, \"source\": 4, \"target\": 8}, {\"weight\": 15687, \"source\": 4, \"target\": 5}, {\"weight\": 14298, \"source\": 4, \"target\": 7}, {\"weight\": 12553, \"source\": 5, \"target\": 6}, {\"weight\": 10009, \"source\": 5, \"target\": 8}, {\"weight\": 14660, \"source\": 5, \"target\": 7}, {\"weight\": 19434, \"source\": 6, \"target\": 8}, {\"weight\": 10353, \"source\": 6, \"target\": 7}, {\"weight\": 11207, \"source\": 7, \"target\": 8}]}",
"id": 447,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DBV, NOJ, ISP, YQX, STD, WLG, NVT, UAS, HIJ\n- Travel distances (in kilometers) between each pair of airports:\nDBV to ISP: 7189\nDBV to YQX: 5637\nDBV to NVT: 10376\nDBV to HIJ: 9494\nDBV to WLG: 18206\nDBV to UAS: 6047\nDBV to STD: 9479\nDBV to NOJ: 4502\nNOJ to ISP: 9727\nNOJ to YQX: 8707\nNOJ to NVT: 14482\nNOJ to HIJ: 6530\nNOJ to WLG: 15883\nNOJ to UAS: 8307\nNOJ to STD: 12993\nISP to YQX: 1724\nISP to NVT: 8314\nISP to HIJ: 11700\nISP to WLG: 15029\nISP to UAS: 12966\nISP to STD: 4212\nYQX to NVT: 9506\nYQX to HIJ: 12932\nYQX to WLG: 16556\nYQX to UAS: 11446\nYQX to STD: 5319\nSTD to NVT: 5481\nSTD to HIJ: 15460\nSTD to WLG: 15687\nSTD to UAS: 14298\nWLG to NVT: 12553\nWLG to HIJ: 10009\nWLG to UAS: 14660\nNVT to HIJ: 19434\nNVT to UAS: 10353\nUAS to HIJ: 11207\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KBC, PMW, CKY, LTI, NRT, LPB, HRM, KUA, YYF\n- Travel distances (in kilometers) between each pair of airports:\nKBC to PMW: 12445\nKBC to CKY: 13129\nKBC to NRT: 10303\nKBC to LPB: 11694\nKBC to YYF: 3113\nKBC to HRM: 12394\nKBC to KUA: 15834\nKBC to LTI: 13334\nPMW to CKY: 5798\nPMW to NRT: 17251\nPMW to LPB: 3866\nPMW to YYF: 10364\nPMW to HRM: 8613\nPMW to KUA: 17628\nPMW to LTI: 16858\nCKY to NRT: 14345\nCKY to LPB: 8649\nCKY to YYF: 11011\nCKY to HRM: 4025\nCKY to KUA: 13257\nCKY to LTI: 12379\nLTI to NRT: 3902\nLTI to LPB: 18362\nLTI to YYF: 10760\nLTI to HRM: 9225\nLTI to KUA: 5979\nNRT to LPB: 16557\nNRT to YYF: 7764\nNRT to HRM: 11244\nNRT to KUA: 5613\nLPB to YYF: 9461\nLPB to HRM: 10608\nLPB to KUA: 18544\nHRM to YYF: 9916\nHRM to KUA: 11159\nKUA to YYF: 13275\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57077,
"style": "rule"
}
|
{
"exact_answer": 57077,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KBC\", \"id\": 0}, {\"name\": \"PMW\", \"id\": 1}, {\"name\": \"CKY\", \"id\": 2}, {\"name\": \"LTI\", \"id\": 3}, {\"name\": \"NRT\", \"id\": 4}, {\"name\": \"LPB\", \"id\": 5}, {\"name\": \"HRM\", \"id\": 6}, {\"name\": \"KUA\", \"id\": 7}, {\"name\": \"YYF\", \"id\": 8}], \"links\": [{\"weight\": 12445, \"source\": 0, \"target\": 1}, {\"weight\": 13129, \"source\": 0, \"target\": 2}, {\"weight\": 10303, \"source\": 0, \"target\": 4}, {\"weight\": 11694, \"source\": 0, \"target\": 5}, {\"weight\": 3113, \"source\": 0, \"target\": 8}, {\"weight\": 12394, \"source\": 0, \"target\": 6}, {\"weight\": 15834, \"source\": 0, \"target\": 7}, {\"weight\": 13334, \"source\": 0, \"target\": 3}, {\"weight\": 5798, \"source\": 1, \"target\": 2}, {\"weight\": 17251, \"source\": 1, \"target\": 4}, {\"weight\": 3866, \"source\": 1, \"target\": 5}, {\"weight\": 10364, \"source\": 1, \"target\": 8}, {\"weight\": 8613, \"source\": 1, \"target\": 6}, {\"weight\": 17628, \"source\": 1, \"target\": 7}, {\"weight\": 16858, \"source\": 1, \"target\": 3}, {\"weight\": 14345, \"source\": 2, \"target\": 4}, {\"weight\": 8649, \"source\": 2, \"target\": 5}, {\"weight\": 11011, \"source\": 2, \"target\": 8}, {\"weight\": 4025, \"source\": 2, \"target\": 6}, {\"weight\": 13257, \"source\": 2, \"target\": 7}, {\"weight\": 12379, \"source\": 2, \"target\": 3}, {\"weight\": 3902, \"source\": 3, \"target\": 4}, {\"weight\": 18362, \"source\": 3, \"target\": 5}, {\"weight\": 10760, \"source\": 3, \"target\": 8}, {\"weight\": 9225, \"source\": 3, \"target\": 6}, {\"weight\": 5979, \"source\": 3, \"target\": 7}, {\"weight\": 16557, \"source\": 4, \"target\": 5}, {\"weight\": 7764, \"source\": 4, \"target\": 8}, {\"weight\": 11244, \"source\": 4, \"target\": 6}, {\"weight\": 5613, \"source\": 4, \"target\": 7}, {\"weight\": 9461, \"source\": 5, \"target\": 8}, {\"weight\": 10608, \"source\": 5, \"target\": 6}, {\"weight\": 18544, \"source\": 5, \"target\": 7}, {\"weight\": 9916, \"source\": 6, \"target\": 8}, {\"weight\": 11159, \"source\": 6, \"target\": 7}, {\"weight\": 13275, \"source\": 7, \"target\": 8}]}",
"id": 448,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KBC, PMW, CKY, LTI, NRT, LPB, HRM, KUA, YYF\n- Travel distances (in kilometers) between each pair of airports:\nKBC to PMW: 12445\nKBC to CKY: 13129\nKBC to NRT: 10303\nKBC to LPB: 11694\nKBC to YYF: 3113\nKBC to HRM: 12394\nKBC to KUA: 15834\nKBC to LTI: 13334\nPMW to CKY: 5798\nPMW to NRT: 17251\nPMW to LPB: 3866\nPMW to YYF: 10364\nPMW to HRM: 8613\nPMW to KUA: 17628\nPMW to LTI: 16858\nCKY to NRT: 14345\nCKY to LPB: 8649\nCKY to YYF: 11011\nCKY to HRM: 4025\nCKY to KUA: 13257\nCKY to LTI: 12379\nLTI to NRT: 3902\nLTI to LPB: 18362\nLTI to YYF: 10760\nLTI to HRM: 9225\nLTI to KUA: 5979\nNRT to LPB: 16557\nNRT to YYF: 7764\nNRT to HRM: 11244\nNRT to KUA: 5613\nLPB to YYF: 9461\nLPB to HRM: 10608\nLPB to KUA: 18544\nHRM to YYF: 9916\nHRM to KUA: 11159\nKUA to YYF: 13275\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, FDE, TVF, HJR, SJL, IPL, BXU, TMS, ABI\n- Travel distances (in kilometers) between each pair of airports:\nRPR to BXU: 5255\nRPR to TVF: 14031\nRPR to ABI: 14508\nRPR to SJL: 17147\nRPR to HJR: 1662\nRPR to TMS: 9494\nRPR to IPL: 14618\nRPR to FDE: 7228\nFDE to BXU: 10821\nFDE to TVF: 7402\nFDE to ABI: 7965\nFDE to SJL: 10798\nFDE to HJR: 7254\nFDE to TMS: 7287\nFDE to IPL: 8862\nTVF to BXU: 13584\nTVF to ABI: 2155\nTVF to SJL: 7781\nTVF to HJR: 14057\nTVF to TMS: 11475\nTVF to IPL: 2618\nHJR to BXU: 5495\nHJR to ABI: 14534\nHJR to SJL: 17422\nHJR to TMS: 9900\nHJR to IPL: 14167\nSJL to BXU: 20296\nSJL to ABI: 6889\nSJL to TMS: 9699\nSJL to IPL: 8380\nIPL to BXU: 12552\nIPL to ABI: 2284\nIPL to TMS: 13448\nBXU to ABI: 14077\nBXU to TMS: 14204\nTMS to ABI: 11904\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55371,
"style": "rule"
}
|
{
"exact_answer": 55371,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RPR\", \"id\": 0}, {\"name\": \"FDE\", \"id\": 1}, {\"name\": \"TVF\", \"id\": 2}, {\"name\": \"HJR\", \"id\": 3}, {\"name\": \"SJL\", \"id\": 4}, {\"name\": \"IPL\", \"id\": 5}, {\"name\": \"BXU\", \"id\": 6}, {\"name\": \"TMS\", \"id\": 7}, {\"name\": \"ABI\", \"id\": 8}], \"links\": [{\"weight\": 5255, \"source\": 0, \"target\": 6}, {\"weight\": 14031, \"source\": 0, \"target\": 2}, {\"weight\": 14508, \"source\": 0, \"target\": 8}, {\"weight\": 17147, \"source\": 0, \"target\": 4}, {\"weight\": 1662, \"source\": 0, \"target\": 3}, {\"weight\": 9494, \"source\": 0, \"target\": 7}, {\"weight\": 14618, \"source\": 0, \"target\": 5}, {\"weight\": 7228, \"source\": 0, \"target\": 1}, {\"weight\": 10821, \"source\": 1, \"target\": 6}, {\"weight\": 7402, \"source\": 1, \"target\": 2}, {\"weight\": 7965, \"source\": 1, \"target\": 8}, {\"weight\": 10798, \"source\": 1, \"target\": 4}, {\"weight\": 7254, \"source\": 1, \"target\": 3}, {\"weight\": 7287, \"source\": 1, \"target\": 7}, {\"weight\": 8862, \"source\": 1, \"target\": 5}, {\"weight\": 13584, \"source\": 2, \"target\": 6}, {\"weight\": 2155, \"source\": 2, \"target\": 8}, {\"weight\": 7781, \"source\": 2, \"target\": 4}, {\"weight\": 14057, \"source\": 2, \"target\": 3}, {\"weight\": 11475, \"source\": 2, \"target\": 7}, {\"weight\": 2618, \"source\": 2, \"target\": 5}, {\"weight\": 5495, \"source\": 3, \"target\": 6}, {\"weight\": 14534, \"source\": 3, \"target\": 8}, {\"weight\": 17422, \"source\": 3, \"target\": 4}, {\"weight\": 9900, \"source\": 3, \"target\": 7}, {\"weight\": 14167, \"source\": 3, \"target\": 5}, {\"weight\": 20296, \"source\": 4, \"target\": 6}, {\"weight\": 6889, \"source\": 4, \"target\": 8}, {\"weight\": 9699, \"source\": 4, \"target\": 7}, {\"weight\": 8380, \"source\": 4, \"target\": 5}, {\"weight\": 12552, \"source\": 5, \"target\": 6}, {\"weight\": 2284, \"source\": 5, \"target\": 8}, {\"weight\": 13448, \"source\": 5, \"target\": 7}, {\"weight\": 14077, \"source\": 6, \"target\": 8}, {\"weight\": 14204, \"source\": 6, \"target\": 7}, {\"weight\": 11904, \"source\": 7, \"target\": 8}]}",
"id": 449,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, FDE, TVF, HJR, SJL, IPL, BXU, TMS, ABI\n- Travel distances (in kilometers) between each pair of airports:\nRPR to BXU: 5255\nRPR to TVF: 14031\nRPR to ABI: 14508\nRPR to SJL: 17147\nRPR to HJR: 1662\nRPR to TMS: 9494\nRPR to IPL: 14618\nRPR to FDE: 7228\nFDE to BXU: 10821\nFDE to TVF: 7402\nFDE to ABI: 7965\nFDE to SJL: 10798\nFDE to HJR: 7254\nFDE to TMS: 7287\nFDE to IPL: 8862\nTVF to BXU: 13584\nTVF to ABI: 2155\nTVF to SJL: 7781\nTVF to HJR: 14057\nTVF to TMS: 11475\nTVF to IPL: 2618\nHJR to BXU: 5495\nHJR to ABI: 14534\nHJR to SJL: 17422\nHJR to TMS: 9900\nHJR to IPL: 14167\nSJL to BXU: 20296\nSJL to ABI: 6889\nSJL to TMS: 9699\nSJL to IPL: 8380\nIPL to BXU: 12552\nIPL to ABI: 2284\nIPL to TMS: 13448\nBXU to ABI: 14077\nBXU to TMS: 14204\nTMS to ABI: 11904\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ORH, BCN, HYD, ASP, PVA, RLK, YHP, ATH, YVZ\n- Travel distances (in kilometers) between each pair of airports:\nORH to BCN: 9428\nORH to ATH: 11140\nORH to HYD: 16273\nORH to PVA: 4403\nORH to ASP: 18667\nORH to RLK: 14718\nORH to YHP: 4896\nORH to YVZ: 4953\nBCN to ATH: 1904\nBCN to HYD: 7668\nBCN to PVA: 9198\nBCN to ASP: 15543\nBCN to RLK: 8692\nBCN to YHP: 7872\nBCN to YVZ: 7928\nHYD to ATH: 5798\nHYD to PVA: 16829\nHYD to ASP: 7960\nHYD to RLK: 4417\nHYD to YHP: 14363\nHYD to YVZ: 14419\nASP to ATH: 13723\nASP to PVA: 18726\nASP to RLK: 7793\nASP to YHP: 16128\nASP to YVZ: 16185\nPVA to ATH: 11092\nPVA to RLK: 15654\nPVA to YHP: 5820\nPVA to YVZ: 5877\nRLK to ATH: 7217\nRLK to YHP: 11530\nRLK to YVZ: 11587\nYHP to ATH: 9582\nYHP to YVZ: 130\nATH to YVZ: 9638\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53669,
"style": "rule"
}
|
{
"exact_answer": 53669,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ORH\", \"id\": 0}, {\"name\": \"BCN\", \"id\": 1}, {\"name\": \"HYD\", \"id\": 2}, {\"name\": \"ASP\", \"id\": 3}, {\"name\": \"PVA\", \"id\": 4}, {\"name\": \"RLK\", \"id\": 5}, {\"name\": \"YHP\", \"id\": 6}, {\"name\": \"ATH\", \"id\": 7}, {\"name\": \"YVZ\", \"id\": 8}], \"links\": [{\"weight\": 9428, \"source\": 0, \"target\": 1}, {\"weight\": 11140, \"source\": 0, \"target\": 7}, {\"weight\": 16273, \"source\": 0, \"target\": 2}, {\"weight\": 4403, \"source\": 0, \"target\": 4}, {\"weight\": 18667, \"source\": 0, \"target\": 3}, {\"weight\": 14718, \"source\": 0, \"target\": 5}, {\"weight\": 4896, \"source\": 0, \"target\": 6}, {\"weight\": 4953, \"source\": 0, \"target\": 8}, {\"weight\": 1904, \"source\": 1, \"target\": 7}, {\"weight\": 7668, \"source\": 1, \"target\": 2}, {\"weight\": 9198, \"source\": 1, \"target\": 4}, {\"weight\": 15543, \"source\": 1, \"target\": 3}, {\"weight\": 8692, \"source\": 1, \"target\": 5}, {\"weight\": 7872, \"source\": 1, \"target\": 6}, {\"weight\": 7928, \"source\": 1, \"target\": 8}, {\"weight\": 5798, \"source\": 2, \"target\": 7}, {\"weight\": 16829, \"source\": 2, \"target\": 4}, {\"weight\": 7960, \"source\": 2, \"target\": 3}, {\"weight\": 4417, \"source\": 2, \"target\": 5}, {\"weight\": 14363, \"source\": 2, \"target\": 6}, {\"weight\": 14419, \"source\": 2, \"target\": 8}, {\"weight\": 13723, \"source\": 3, \"target\": 7}, {\"weight\": 18726, \"source\": 3, \"target\": 4}, {\"weight\": 7793, \"source\": 3, \"target\": 5}, {\"weight\": 16128, \"source\": 3, \"target\": 6}, {\"weight\": 16185, \"source\": 3, \"target\": 8}, {\"weight\": 11092, \"source\": 4, \"target\": 7}, {\"weight\": 15654, \"source\": 4, \"target\": 5}, {\"weight\": 5820, \"source\": 4, \"target\": 6}, {\"weight\": 5877, \"source\": 4, \"target\": 8}, {\"weight\": 7217, \"source\": 5, \"target\": 7}, {\"weight\": 11530, \"source\": 5, \"target\": 6}, {\"weight\": 11587, \"source\": 5, \"target\": 8}, {\"weight\": 9582, \"source\": 6, \"target\": 7}, {\"weight\": 130, \"source\": 6, \"target\": 8}, {\"weight\": 9638, \"source\": 7, \"target\": 8}]}",
"id": 450,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ORH, BCN, HYD, ASP, PVA, RLK, YHP, ATH, YVZ\n- Travel distances (in kilometers) between each pair of airports:\nORH to BCN: 9428\nORH to ATH: 11140\nORH to HYD: 16273\nORH to PVA: 4403\nORH to ASP: 18667\nORH to RLK: 14718\nORH to YHP: 4896\nORH to YVZ: 4953\nBCN to ATH: 1904\nBCN to HYD: 7668\nBCN to PVA: 9198\nBCN to ASP: 15543\nBCN to RLK: 8692\nBCN to YHP: 7872\nBCN to YVZ: 7928\nHYD to ATH: 5798\nHYD to PVA: 16829\nHYD to ASP: 7960\nHYD to RLK: 4417\nHYD to YHP: 14363\nHYD to YVZ: 14419\nASP to ATH: 13723\nASP to PVA: 18726\nASP to RLK: 7793\nASP to YHP: 16128\nASP to YVZ: 16185\nPVA to ATH: 11092\nPVA to RLK: 15654\nPVA to YHP: 5820\nPVA to YVZ: 5877\nRLK to ATH: 7217\nRLK to YHP: 11530\nRLK to YVZ: 11587\nYHP to ATH: 9582\nYHP to YVZ: 130\nATH to YVZ: 9638\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SXB, SDJ, AGR, PHL, OSL, LZO, YUL, CEB\n- Travel distances (in kilometers) between each pair of airports:\nRAJ to OSL: 7186\nRAJ to YUL: 12780\nRAJ to CEB: 6201\nRAJ to PHL: 13091\nRAJ to SXB: 7106\nRAJ to AGR: 1453\nRAJ to SDJ: 7236\nRAJ to LZO: 4062\nSXB to OSL: 1424\nSXB to YUL: 5876\nSXB to CEB: 11016\nSXB to PHL: 6348\nSXB to AGR: 7457\nSXB to SDJ: 9804\nSXB to LZO: 8709\nSDJ to OSL: 8861\nSDJ to YUL: 11074\nSDJ to CEB: 3547\nSDJ to PHL: 11124\nSDJ to AGR: 6113\nSDJ to LZO: 3511\nAGR to OSL: 7157\nAGR to YUL: 13056\nAGR to CEB: 5495\nAGR to PHL: 13081\nAGR to LZO: 3135\nPHL to YUL: 634\nPHL to OSL: 6059\nPHL to CEB: 14135\nPHL to LZO: 12708\nOSL to YUL: 6062\nOSL to CEB: 10284\nOSL to LZO: 7867\nLZO to YUL: 12680\nLZO to CEB: 2844\nYUL to CEB: 14085\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 37223,
"style": "rule"
}
|
{
"exact_answer": 37223,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RAJ\", \"id\": 0}, {\"name\": \"SXB\", \"id\": 1}, {\"name\": \"SDJ\", \"id\": 2}, {\"name\": \"AGR\", \"id\": 3}, {\"name\": \"PHL\", \"id\": 4}, {\"name\": \"OSL\", \"id\": 5}, {\"name\": \"LZO\", \"id\": 6}, {\"name\": \"YUL\", \"id\": 7}, {\"name\": \"CEB\", \"id\": 8}], \"links\": [{\"weight\": 7186, \"source\": 0, \"target\": 5}, {\"weight\": 12780, \"source\": 0, \"target\": 7}, {\"weight\": 6201, \"source\": 0, \"target\": 8}, {\"weight\": 13091, \"source\": 0, \"target\": 4}, {\"weight\": 7106, \"source\": 0, \"target\": 1}, {\"weight\": 1453, \"source\": 0, \"target\": 3}, {\"weight\": 7236, \"source\": 0, \"target\": 2}, {\"weight\": 4062, \"source\": 0, \"target\": 6}, {\"weight\": 1424, \"source\": 1, \"target\": 5}, {\"weight\": 5876, \"source\": 1, \"target\": 7}, {\"weight\": 11016, \"source\": 1, \"target\": 8}, {\"weight\": 6348, \"source\": 1, \"target\": 4}, {\"weight\": 7457, \"source\": 1, \"target\": 3}, {\"weight\": 9804, \"source\": 1, \"target\": 2}, {\"weight\": 8709, \"source\": 1, \"target\": 6}, {\"weight\": 8861, \"source\": 2, \"target\": 5}, {\"weight\": 11074, \"source\": 2, \"target\": 7}, {\"weight\": 3547, \"source\": 2, \"target\": 8}, {\"weight\": 11124, \"source\": 2, \"target\": 4}, {\"weight\": 6113, \"source\": 2, \"target\": 3}, {\"weight\": 3511, \"source\": 2, \"target\": 6}, {\"weight\": 7157, \"source\": 3, \"target\": 5}, {\"weight\": 13056, \"source\": 3, \"target\": 7}, {\"weight\": 5495, \"source\": 3, \"target\": 8}, {\"weight\": 13081, \"source\": 3, \"target\": 4}, {\"weight\": 3135, \"source\": 3, \"target\": 6}, {\"weight\": 634, \"source\": 4, \"target\": 7}, {\"weight\": 6059, \"source\": 4, \"target\": 5}, {\"weight\": 14135, \"source\": 4, \"target\": 8}, {\"weight\": 12708, \"source\": 4, \"target\": 6}, {\"weight\": 6062, \"source\": 5, \"target\": 7}, {\"weight\": 10284, \"source\": 5, \"target\": 8}, {\"weight\": 7867, \"source\": 5, \"target\": 6}, {\"weight\": 12680, \"source\": 6, \"target\": 7}, {\"weight\": 2844, \"source\": 6, \"target\": 8}, {\"weight\": 14085, \"source\": 7, \"target\": 8}]}",
"id": 451,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, SXB, SDJ, AGR, PHL, OSL, LZO, YUL, CEB\n- Travel distances (in kilometers) between each pair of airports:\nRAJ to OSL: 7186\nRAJ to YUL: 12780\nRAJ to CEB: 6201\nRAJ to PHL: 13091\nRAJ to SXB: 7106\nRAJ to AGR: 1453\nRAJ to SDJ: 7236\nRAJ to LZO: 4062\nSXB to OSL: 1424\nSXB to YUL: 5876\nSXB to CEB: 11016\nSXB to PHL: 6348\nSXB to AGR: 7457\nSXB to SDJ: 9804\nSXB to LZO: 8709\nSDJ to OSL: 8861\nSDJ to YUL: 11074\nSDJ to CEB: 3547\nSDJ to PHL: 11124\nSDJ to AGR: 6113\nSDJ to LZO: 3511\nAGR to OSL: 7157\nAGR to YUL: 13056\nAGR to CEB: 5495\nAGR to PHL: 13081\nAGR to LZO: 3135\nPHL to YUL: 634\nPHL to OSL: 6059\nPHL to CEB: 14135\nPHL to LZO: 12708\nOSL to YUL: 6062\nOSL to CEB: 10284\nOSL to LZO: 7867\nLZO to YUL: 12680\nLZO to CEB: 2844\nYUL to CEB: 14085\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WRG, HDF, ANS, KAO, AAQ, TUL, HNA, KOO, HFS\n- Travel distances (in kilometers) between each pair of airports:\nWRG to HDF: 9818\nWRG to TUL: 3738\nWRG to KAO: 10144\nWRG to KOO: 17238\nWRG to HNA: 10041\nWRG to AAQ: 11489\nWRG to HFS: 9422\nWRG to ANS: 9714\nHDF to TUL: 8305\nHDF to KAO: 2735\nHDF to KOO: 8873\nHDF to HNA: 9998\nHDF to AAQ: 3702\nHDF to HFS: 1984\nHDF to ANS: 11692\nANS to TUL: 6203\nANS to KAO: 13154\nANS to KOO: 12878\nANS to HNA: 17084\nANS to AAQ: 14309\nANS to HFS: 12365\nKAO to TUL: 8859\nKAO to KOO: 9941\nKAO to HNA: 8780\nKAO to AAQ: 2675\nKAO to HFS: 1308\nAAQ to TUL: 10198\nAAQ to KOO: 10019\nAAQ to HNA: 8654\nAAQ to HFS: 2647\nTUL to KOO: 14155\nTUL to HNA: 11324\nTUL to HFS: 8041\nHNA to KOO: 15694\nHNA to HFS: 8752\nKOO to HFS: 9558\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56354,
"style": "rule"
}
|
{
"exact_answer": 56354,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WRG\", \"id\": 0}, {\"name\": \"HDF\", \"id\": 1}, {\"name\": \"ANS\", \"id\": 2}, {\"name\": \"KAO\", \"id\": 3}, {\"name\": \"AAQ\", \"id\": 4}, {\"name\": \"TUL\", \"id\": 5}, {\"name\": \"HNA\", \"id\": 6}, {\"name\": \"KOO\", \"id\": 7}, {\"name\": \"HFS\", \"id\": 8}], \"links\": [{\"weight\": 9818, \"source\": 0, \"target\": 1}, {\"weight\": 3738, \"source\": 0, \"target\": 5}, {\"weight\": 10144, \"source\": 0, \"target\": 3}, {\"weight\": 17238, \"source\": 0, \"target\": 7}, {\"weight\": 10041, \"source\": 0, \"target\": 6}, {\"weight\": 11489, \"source\": 0, \"target\": 4}, {\"weight\": 9422, \"source\": 0, \"target\": 8}, {\"weight\": 9714, \"source\": 0, \"target\": 2}, {\"weight\": 8305, \"source\": 1, \"target\": 5}, {\"weight\": 2735, \"source\": 1, \"target\": 3}, {\"weight\": 8873, \"source\": 1, \"target\": 7}, {\"weight\": 9998, \"source\": 1, \"target\": 6}, {\"weight\": 3702, \"source\": 1, \"target\": 4}, {\"weight\": 1984, \"source\": 1, \"target\": 8}, {\"weight\": 11692, \"source\": 1, \"target\": 2}, {\"weight\": 6203, \"source\": 2, \"target\": 5}, {\"weight\": 13154, \"source\": 2, \"target\": 3}, {\"weight\": 12878, \"source\": 2, \"target\": 7}, {\"weight\": 17084, \"source\": 2, \"target\": 6}, {\"weight\": 14309, \"source\": 2, \"target\": 4}, {\"weight\": 12365, \"source\": 2, \"target\": 8}, {\"weight\": 8859, \"source\": 3, \"target\": 5}, {\"weight\": 9941, \"source\": 3, \"target\": 7}, {\"weight\": 8780, \"source\": 3, \"target\": 6}, {\"weight\": 2675, \"source\": 3, \"target\": 4}, {\"weight\": 1308, \"source\": 3, \"target\": 8}, {\"weight\": 10198, \"source\": 4, \"target\": 5}, {\"weight\": 10019, \"source\": 4, \"target\": 7}, {\"weight\": 8654, \"source\": 4, \"target\": 6}, {\"weight\": 2647, \"source\": 4, \"target\": 8}, {\"weight\": 14155, \"source\": 5, \"target\": 7}, {\"weight\": 11324, \"source\": 5, \"target\": 6}, {\"weight\": 8041, \"source\": 5, \"target\": 8}, {\"weight\": 15694, \"source\": 6, \"target\": 7}, {\"weight\": 8752, \"source\": 6, \"target\": 8}, {\"weight\": 9558, \"source\": 7, \"target\": 8}]}",
"id": 452,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WRG, HDF, ANS, KAO, AAQ, TUL, HNA, KOO, HFS\n- Travel distances (in kilometers) between each pair of airports:\nWRG to HDF: 9818\nWRG to TUL: 3738\nWRG to KAO: 10144\nWRG to KOO: 17238\nWRG to HNA: 10041\nWRG to AAQ: 11489\nWRG to HFS: 9422\nWRG to ANS: 9714\nHDF to TUL: 8305\nHDF to KAO: 2735\nHDF to KOO: 8873\nHDF to HNA: 9998\nHDF to AAQ: 3702\nHDF to HFS: 1984\nHDF to ANS: 11692\nANS to TUL: 6203\nANS to KAO: 13154\nANS to KOO: 12878\nANS to HNA: 17084\nANS to AAQ: 14309\nANS to HFS: 12365\nKAO to TUL: 8859\nKAO to KOO: 9941\nKAO to HNA: 8780\nKAO to AAQ: 2675\nKAO to HFS: 1308\nAAQ to TUL: 10198\nAAQ to KOO: 10019\nAAQ to HNA: 8654\nAAQ to HFS: 2647\nTUL to KOO: 14155\nTUL to HNA: 11324\nTUL to HFS: 8041\nHNA to KOO: 15694\nHNA to HFS: 8752\nKOO to HFS: 9558\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTL, JNB, NTE, TQL, BAZ, SJI, ROW, HME, TUR\n- Travel distances (in kilometers) between each pair of airports:\nKTL to SJI: 10442\nKTL to JNB: 3443\nKTL to NTE: 7658\nKTL to ROW: 15737\nKTL to BAZ: 12985\nKTL to TUR: 11654\nKTL to HME: 7661\nKTL to TQL: 9011\nJNB to SJI: 11240\nJNB to NTE: 8977\nJNB to ROW: 15454\nJNB to BAZ: 10528\nJNB to TUR: 9656\nJNB to HME: 8506\nJNB to TQL: 11458\nNTE to SJI: 11342\nNTE to ROW: 8654\nNTE to BAZ: 9506\nNTE to TUR: 8160\nNTE to HME: 1848\nNTE to TQL: 5346\nTQL to SJI: 7931\nTQL to ROW: 12673\nTQL to BAZ: 14282\nTQL to TUR: 13201\nTQL to HME: 6371\nBAZ to SJI: 19518\nBAZ to ROW: 6769\nBAZ to TUR: 1989\nBAZ to HME: 9490\nSJI to ROW: 14311\nSJI to TUR: 19196\nSJI to HME: 11895\nROW to TUR: 7362\nROW to HME: 10015\nHME to TUR: 8144\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57103,
"style": "rule"
}
|
{
"exact_answer": 57103,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KTL\", \"id\": 0}, {\"name\": \"JNB\", \"id\": 1}, {\"name\": \"NTE\", \"id\": 2}, {\"name\": \"TQL\", \"id\": 3}, {\"name\": \"BAZ\", \"id\": 4}, {\"name\": \"SJI\", \"id\": 5}, {\"name\": \"ROW\", \"id\": 6}, {\"name\": \"HME\", \"id\": 7}, {\"name\": \"TUR\", \"id\": 8}], \"links\": [{\"weight\": 10442, \"source\": 0, \"target\": 5}, {\"weight\": 3443, \"source\": 0, \"target\": 1}, {\"weight\": 7658, \"source\": 0, \"target\": 2}, {\"weight\": 15737, \"source\": 0, \"target\": 6}, {\"weight\": 12985, \"source\": 0, \"target\": 4}, {\"weight\": 11654, \"source\": 0, \"target\": 8}, {\"weight\": 7661, \"source\": 0, \"target\": 7}, {\"weight\": 9011, \"source\": 0, \"target\": 3}, {\"weight\": 11240, \"source\": 1, \"target\": 5}, {\"weight\": 8977, \"source\": 1, \"target\": 2}, {\"weight\": 15454, \"source\": 1, \"target\": 6}, {\"weight\": 10528, \"source\": 1, \"target\": 4}, {\"weight\": 9656, \"source\": 1, \"target\": 8}, {\"weight\": 8506, \"source\": 1, \"target\": 7}, {\"weight\": 11458, \"source\": 1, \"target\": 3}, {\"weight\": 11342, \"source\": 2, \"target\": 5}, {\"weight\": 8654, \"source\": 2, \"target\": 6}, {\"weight\": 9506, \"source\": 2, \"target\": 4}, {\"weight\": 8160, \"source\": 2, \"target\": 8}, {\"weight\": 1848, \"source\": 2, \"target\": 7}, {\"weight\": 5346, \"source\": 2, \"target\": 3}, {\"weight\": 7931, \"source\": 3, \"target\": 5}, {\"weight\": 12673, \"source\": 3, \"target\": 6}, {\"weight\": 14282, \"source\": 3, \"target\": 4}, {\"weight\": 13201, \"source\": 3, \"target\": 8}, {\"weight\": 6371, \"source\": 3, \"target\": 7}, {\"weight\": 19518, \"source\": 4, \"target\": 5}, {\"weight\": 6769, \"source\": 4, \"target\": 6}, {\"weight\": 1989, \"source\": 4, \"target\": 8}, {\"weight\": 9490, \"source\": 4, \"target\": 7}, {\"weight\": 14311, \"source\": 5, \"target\": 6}, {\"weight\": 19196, \"source\": 5, \"target\": 8}, {\"weight\": 11895, \"source\": 5, \"target\": 7}, {\"weight\": 7362, \"source\": 6, \"target\": 8}, {\"weight\": 10015, \"source\": 6, \"target\": 7}, {\"weight\": 8144, \"source\": 7, \"target\": 8}]}",
"id": 453,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KTL, JNB, NTE, TQL, BAZ, SJI, ROW, HME, TUR\n- Travel distances (in kilometers) between each pair of airports:\nKTL to SJI: 10442\nKTL to JNB: 3443\nKTL to NTE: 7658\nKTL to ROW: 15737\nKTL to BAZ: 12985\nKTL to TUR: 11654\nKTL to HME: 7661\nKTL to TQL: 9011\nJNB to SJI: 11240\nJNB to NTE: 8977\nJNB to ROW: 15454\nJNB to BAZ: 10528\nJNB to TUR: 9656\nJNB to HME: 8506\nJNB to TQL: 11458\nNTE to SJI: 11342\nNTE to ROW: 8654\nNTE to BAZ: 9506\nNTE to TUR: 8160\nNTE to HME: 1848\nNTE to TQL: 5346\nTQL to SJI: 7931\nTQL to ROW: 12673\nTQL to BAZ: 14282\nTQL to TUR: 13201\nTQL to HME: 6371\nBAZ to SJI: 19518\nBAZ to ROW: 6769\nBAZ to TUR: 1989\nBAZ to HME: 9490\nSJI to ROW: 14311\nSJI to TUR: 19196\nSJI to HME: 11895\nROW to TUR: 7362\nROW to HME: 10015\nHME to TUR: 8144\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PYH, LEI, ETZ, BET, TVC, HIA, WAT, ATH\n- Travel distances (in kilometers) between each pair of airports:\nAIT to ATH: 18930\nAIT to BET: 10933\nAIT to HIA: 13185\nAIT to ETZ: 17683\nAIT to TVC: 10867\nAIT to LEI: 17601\nAIT to WAT: 16692\nAIT to PYH: 14210\nPYH to ATH: 9942\nPYH to BET: 9817\nPYH to HIA: 15708\nPYH to ETZ: 8748\nPYH to TVC: 4777\nPYH to LEI: 7700\nPYH to WAT: 8449\nLEI to ATH: 2463\nLEI to BET: 12079\nLEI to HIA: 10201\nLEI to ETZ: 1546\nLEI to TVC: 7055\nLEI to WAT: 2100\nETZ to ATH: 2140\nETZ to BET: 11794\nETZ to HIA: 9435\nETZ to TVC: 7420\nETZ to WAT: 1633\nBET to ATH: 12976\nBET to HIA: 12403\nBET to TVC: 5283\nBET to WAT: 10776\nTVC to ATH: 8800\nTVC to HIA: 11685\nTVC to WAT: 6535\nHIA to ATH: 8343\nHIA to WAT: 9219\nWAT to ATH: 2920\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56094,
"style": "rule"
}
|
{
"exact_answer": 56094,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AIT\", \"id\": 0}, {\"name\": \"PYH\", \"id\": 1}, {\"name\": \"LEI\", \"id\": 2}, {\"name\": \"ETZ\", \"id\": 3}, {\"name\": \"BET\", \"id\": 4}, {\"name\": \"TVC\", \"id\": 5}, {\"name\": \"HIA\", \"id\": 6}, {\"name\": \"WAT\", \"id\": 7}, {\"name\": \"ATH\", \"id\": 8}], \"links\": [{\"weight\": 18930, \"source\": 0, \"target\": 8}, {\"weight\": 10933, \"source\": 0, \"target\": 4}, {\"weight\": 13185, \"source\": 0, \"target\": 6}, {\"weight\": 17683, \"source\": 0, \"target\": 3}, {\"weight\": 10867, \"source\": 0, \"target\": 5}, {\"weight\": 17601, \"source\": 0, \"target\": 2}, {\"weight\": 16692, \"source\": 0, \"target\": 7}, {\"weight\": 14210, \"source\": 0, \"target\": 1}, {\"weight\": 9942, \"source\": 1, \"target\": 8}, {\"weight\": 9817, \"source\": 1, \"target\": 4}, {\"weight\": 15708, \"source\": 1, \"target\": 6}, {\"weight\": 8748, \"source\": 1, \"target\": 3}, {\"weight\": 4777, \"source\": 1, \"target\": 5}, {\"weight\": 7700, \"source\": 1, \"target\": 2}, {\"weight\": 8449, \"source\": 1, \"target\": 7}, {\"weight\": 2463, \"source\": 2, \"target\": 8}, {\"weight\": 12079, \"source\": 2, \"target\": 4}, {\"weight\": 10201, \"source\": 2, \"target\": 6}, {\"weight\": 1546, \"source\": 2, \"target\": 3}, {\"weight\": 7055, \"source\": 2, \"target\": 5}, {\"weight\": 2100, \"source\": 2, \"target\": 7}, {\"weight\": 2140, \"source\": 3, \"target\": 8}, {\"weight\": 11794, \"source\": 3, \"target\": 4}, {\"weight\": 9435, \"source\": 3, \"target\": 6}, {\"weight\": 7420, \"source\": 3, \"target\": 5}, {\"weight\": 1633, \"source\": 3, \"target\": 7}, {\"weight\": 12976, \"source\": 4, \"target\": 8}, {\"weight\": 12403, \"source\": 4, \"target\": 6}, {\"weight\": 5283, \"source\": 4, \"target\": 5}, {\"weight\": 10776, \"source\": 4, \"target\": 7}, {\"weight\": 8800, \"source\": 5, \"target\": 8}, {\"weight\": 11685, \"source\": 5, \"target\": 6}, {\"weight\": 6535, \"source\": 5, \"target\": 7}, {\"weight\": 8343, \"source\": 6, \"target\": 8}, {\"weight\": 9219, \"source\": 6, \"target\": 7}, {\"weight\": 2920, \"source\": 7, \"target\": 8}]}",
"id": 454,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, PYH, LEI, ETZ, BET, TVC, HIA, WAT, ATH\n- Travel distances (in kilometers) between each pair of airports:\nAIT to ATH: 18930\nAIT to BET: 10933\nAIT to HIA: 13185\nAIT to ETZ: 17683\nAIT to TVC: 10867\nAIT to LEI: 17601\nAIT to WAT: 16692\nAIT to PYH: 14210\nPYH to ATH: 9942\nPYH to BET: 9817\nPYH to HIA: 15708\nPYH to ETZ: 8748\nPYH to TVC: 4777\nPYH to LEI: 7700\nPYH to WAT: 8449\nLEI to ATH: 2463\nLEI to BET: 12079\nLEI to HIA: 10201\nLEI to ETZ: 1546\nLEI to TVC: 7055\nLEI to WAT: 2100\nETZ to ATH: 2140\nETZ to BET: 11794\nETZ to HIA: 9435\nETZ to TVC: 7420\nETZ to WAT: 1633\nBET to ATH: 12976\nBET to HIA: 12403\nBET to TVC: 5283\nBET to WAT: 10776\nTVC to ATH: 8800\nTVC to HIA: 11685\nTVC to WAT: 6535\nHIA to ATH: 8343\nHIA to WAT: 9219\nWAT to ATH: 2920\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AMH, MQP, AZA, NNB, MSN, SSA, LAE, IXG, ROV\n- Travel distances (in kilometers) between each pair of airports:\nAMH to SSA: 10834\nAMH to ROV: 4691\nAMH to MSN: 12695\nAMH to LAE: 13364\nAMH to AZA: 14745\nAMH to NNB: 14756\nAMH to MQP: 4681\nAMH to IXG: 5499\nMQP to SSA: 9189\nMQP to ROV: 8547\nMQP to MSN: 14443\nMQP to LAE: 13204\nMQP to AZA: 16494\nMQP to NNB: 14508\nMQP to IXG: 8131\nAZA to SSA: 9781\nAZA to ROV: 11204\nAZA to MSN: 2405\nAZA to LAE: 13427\nAZA to NNB: 12116\nAZA to IXG: 16137\nNNB to SSA: 17477\nNNB to ROV: 13992\nNNB to MSN: 14002\nNNB to LAE: 2038\nNNB to IXG: 10282\nMSN to SSA: 8353\nMSN to ROV: 9087\nMSN to LAE: 15313\nMSN to IXG: 14392\nSSA to ROV: 10451\nSSA to LAE: 18356\nSSA to IXG: 15101\nLAE to ROV: 12600\nLAE to IXG: 8890\nIXG to ROV: 5775\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58138,
"style": "rule"
}
|
{
"exact_answer": 58138,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AMH\", \"id\": 0}, {\"name\": \"MQP\", \"id\": 1}, {\"name\": \"AZA\", \"id\": 2}, {\"name\": \"NNB\", \"id\": 3}, {\"name\": \"MSN\", \"id\": 4}, {\"name\": \"SSA\", \"id\": 5}, {\"name\": \"LAE\", \"id\": 6}, {\"name\": \"IXG\", \"id\": 7}, {\"name\": \"ROV\", \"id\": 8}], \"links\": [{\"weight\": 10834, \"source\": 0, \"target\": 5}, {\"weight\": 4691, \"source\": 0, \"target\": 8}, {\"weight\": 12695, \"source\": 0, \"target\": 4}, {\"weight\": 13364, \"source\": 0, \"target\": 6}, {\"weight\": 14745, \"source\": 0, \"target\": 2}, {\"weight\": 14756, \"source\": 0, \"target\": 3}, {\"weight\": 4681, \"source\": 0, \"target\": 1}, {\"weight\": 5499, \"source\": 0, \"target\": 7}, {\"weight\": 9189, \"source\": 1, \"target\": 5}, {\"weight\": 8547, \"source\": 1, \"target\": 8}, {\"weight\": 14443, \"source\": 1, \"target\": 4}, {\"weight\": 13204, \"source\": 1, \"target\": 6}, {\"weight\": 16494, \"source\": 1, \"target\": 2}, {\"weight\": 14508, \"source\": 1, \"target\": 3}, {\"weight\": 8131, \"source\": 1, \"target\": 7}, {\"weight\": 9781, \"source\": 2, \"target\": 5}, {\"weight\": 11204, \"source\": 2, \"target\": 8}, {\"weight\": 2405, \"source\": 2, \"target\": 4}, {\"weight\": 13427, \"source\": 2, \"target\": 6}, {\"weight\": 12116, \"source\": 2, \"target\": 3}, {\"weight\": 16137, \"source\": 2, \"target\": 7}, {\"weight\": 17477, \"source\": 3, \"target\": 5}, {\"weight\": 13992, \"source\": 3, \"target\": 8}, {\"weight\": 14002, \"source\": 3, \"target\": 4}, {\"weight\": 2038, \"source\": 3, \"target\": 6}, {\"weight\": 10282, \"source\": 3, \"target\": 7}, {\"weight\": 8353, \"source\": 4, \"target\": 5}, {\"weight\": 9087, \"source\": 4, \"target\": 8}, {\"weight\": 15313, \"source\": 4, \"target\": 6}, {\"weight\": 14392, \"source\": 4, \"target\": 7}, {\"weight\": 10451, \"source\": 5, \"target\": 8}, {\"weight\": 18356, \"source\": 5, \"target\": 6}, {\"weight\": 15101, \"source\": 5, \"target\": 7}, {\"weight\": 12600, \"source\": 6, \"target\": 8}, {\"weight\": 8890, \"source\": 6, \"target\": 7}, {\"weight\": 5775, \"source\": 7, \"target\": 8}]}",
"id": 455,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AMH, MQP, AZA, NNB, MSN, SSA, LAE, IXG, ROV\n- Travel distances (in kilometers) between each pair of airports:\nAMH to SSA: 10834\nAMH to ROV: 4691\nAMH to MSN: 12695\nAMH to LAE: 13364\nAMH to AZA: 14745\nAMH to NNB: 14756\nAMH to MQP: 4681\nAMH to IXG: 5499\nMQP to SSA: 9189\nMQP to ROV: 8547\nMQP to MSN: 14443\nMQP to LAE: 13204\nMQP to AZA: 16494\nMQP to NNB: 14508\nMQP to IXG: 8131\nAZA to SSA: 9781\nAZA to ROV: 11204\nAZA to MSN: 2405\nAZA to LAE: 13427\nAZA to NNB: 12116\nAZA to IXG: 16137\nNNB to SSA: 17477\nNNB to ROV: 13992\nNNB to MSN: 14002\nNNB to LAE: 2038\nNNB to IXG: 10282\nMSN to SSA: 8353\nMSN to ROV: 9087\nMSN to LAE: 15313\nMSN to IXG: 14392\nSSA to ROV: 10451\nSSA to LAE: 18356\nSSA to IXG: 15101\nLAE to ROV: 12600\nLAE to IXG: 8890\nIXG to ROV: 5775\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFT, KOV, IAA, KSA, BOH, VDM, TRO, GDV, HTY\n- Travel distances (in kilometers) between each pair of airports:\nLFT to GDV: 2650\nLFT to VDM: 9362\nLFT to KOV: 11588\nLFT to BOH: 7550\nLFT to HTY: 10878\nLFT to KSA: 11339\nLFT to IAA: 13745\nLFT to TRO: 14632\nKOV to GDV: 12207\nKOV to VDM: 16340\nKOV to BOH: 5287\nKOV to HTY: 4541\nKOV to KSA: 10831\nKOV to IAA: 4514\nKOV to TRO: 12947\nIAA to GDV: 13860\nIAA to VDM: 18866\nIAA to BOH: 7578\nIAA to HTY: 6538\nIAA to KSA: 10151\nIAA to TRO: 13017\nKSA to GDV: 10344\nKSA to VDM: 17683\nKSA to BOH: 14973\nKSA to HTY: 13759\nKSA to TRO: 6389\nBOH to GDV: 8290\nBOH to VDM: 11936\nBOH to HTY: 3582\nBOH to TRO: 17905\nVDM to GDV: 11480\nVDM to HTY: 13872\nVDM to TRO: 13554\nTRO to GDV: 14030\nTRO to HTY: 14754\nGDV to HTY: 11214\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63033,
"style": "rule"
}
|
{
"exact_answer": 63033,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LFT\", \"id\": 0}, {\"name\": \"KOV\", \"id\": 1}, {\"name\": \"IAA\", \"id\": 2}, {\"name\": \"KSA\", \"id\": 3}, {\"name\": \"BOH\", \"id\": 4}, {\"name\": \"VDM\", \"id\": 5}, {\"name\": \"TRO\", \"id\": 6}, {\"name\": \"GDV\", \"id\": 7}, {\"name\": \"HTY\", \"id\": 8}], \"links\": [{\"weight\": 2650, \"source\": 0, \"target\": 7}, {\"weight\": 9362, \"source\": 0, \"target\": 5}, {\"weight\": 11588, \"source\": 0, \"target\": 1}, {\"weight\": 7550, \"source\": 0, \"target\": 4}, {\"weight\": 10878, \"source\": 0, \"target\": 8}, {\"weight\": 11339, \"source\": 0, \"target\": 3}, {\"weight\": 13745, \"source\": 0, \"target\": 2}, {\"weight\": 14632, \"source\": 0, \"target\": 6}, {\"weight\": 12207, \"source\": 1, \"target\": 7}, {\"weight\": 16340, \"source\": 1, \"target\": 5}, {\"weight\": 5287, \"source\": 1, \"target\": 4}, {\"weight\": 4541, \"source\": 1, \"target\": 8}, {\"weight\": 10831, \"source\": 1, \"target\": 3}, {\"weight\": 4514, \"source\": 1, \"target\": 2}, {\"weight\": 12947, \"source\": 1, \"target\": 6}, {\"weight\": 13860, \"source\": 2, \"target\": 7}, {\"weight\": 18866, \"source\": 2, \"target\": 5}, {\"weight\": 7578, \"source\": 2, \"target\": 4}, {\"weight\": 6538, \"source\": 2, \"target\": 8}, {\"weight\": 10151, \"source\": 2, \"target\": 3}, {\"weight\": 13017, \"source\": 2, \"target\": 6}, {\"weight\": 10344, \"source\": 3, \"target\": 7}, {\"weight\": 17683, \"source\": 3, \"target\": 5}, {\"weight\": 14973, \"source\": 3, \"target\": 4}, {\"weight\": 13759, \"source\": 3, \"target\": 8}, {\"weight\": 6389, \"source\": 3, \"target\": 6}, {\"weight\": 8290, \"source\": 4, \"target\": 7}, {\"weight\": 11936, \"source\": 4, \"target\": 5}, {\"weight\": 3582, \"source\": 4, \"target\": 8}, {\"weight\": 17905, \"source\": 4, \"target\": 6}, {\"weight\": 11480, \"source\": 5, \"target\": 7}, {\"weight\": 13872, \"source\": 5, \"target\": 8}, {\"weight\": 13554, \"source\": 5, \"target\": 6}, {\"weight\": 14030, \"source\": 6, \"target\": 7}, {\"weight\": 14754, \"source\": 6, \"target\": 8}, {\"weight\": 11214, \"source\": 7, \"target\": 8}]}",
"id": 456,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LFT, KOV, IAA, KSA, BOH, VDM, TRO, GDV, HTY\n- Travel distances (in kilometers) between each pair of airports:\nLFT to GDV: 2650\nLFT to VDM: 9362\nLFT to KOV: 11588\nLFT to BOH: 7550\nLFT to HTY: 10878\nLFT to KSA: 11339\nLFT to IAA: 13745\nLFT to TRO: 14632\nKOV to GDV: 12207\nKOV to VDM: 16340\nKOV to BOH: 5287\nKOV to HTY: 4541\nKOV to KSA: 10831\nKOV to IAA: 4514\nKOV to TRO: 12947\nIAA to GDV: 13860\nIAA to VDM: 18866\nIAA to BOH: 7578\nIAA to HTY: 6538\nIAA to KSA: 10151\nIAA to TRO: 13017\nKSA to GDV: 10344\nKSA to VDM: 17683\nKSA to BOH: 14973\nKSA to HTY: 13759\nKSA to TRO: 6389\nBOH to GDV: 8290\nBOH to VDM: 11936\nBOH to HTY: 3582\nBOH to TRO: 17905\nVDM to GDV: 11480\nVDM to HTY: 13872\nVDM to TRO: 13554\nTRO to GDV: 14030\nTRO to HTY: 14754\nGDV to HTY: 11214\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPB, LUN, TSH, OTP, TIA, VAR, UIH, NOU, ETR\n- Travel distances (in kilometers) between each pair of airports:\nHPB to OTP: 12715\nHPB to TIA: 12694\nHPB to LUN: 18848\nHPB to TSH: 17469\nHPB to ETR: 10359\nHPB to VAR: 13035\nHPB to NOU: 11729\nHPB to UIH: 15098\nLUN to OTP: 7038\nLUN to TIA: 6993\nLUN to TSH: 1494\nLUN to ETR: 13085\nLUN to VAR: 7359\nLUN to NOU: 14205\nLUN to UIH: 10186\nTSH to OTP: 6290\nTSH to TIA: 6594\nTSH to ETR: 12466\nTSH to VAR: 6679\nTSH to NOU: 15658\nTSH to UIH: 10951\nOTP to TIA: 1097\nOTP to ETR: 11611\nOTP to VAR: 663\nOTP to NOU: 15941\nOTP to UIH: 9104\nTIA to ETR: 11130\nTIA to VAR: 1424\nTIA to NOU: 16579\nTIA to UIH: 9412\nVAR to ETR: 11789\nVAR to NOU: 15981\nVAR to UIH: 9105\nUIH to ETR: 18984\nUIH to NOU: 9118\nNOU to ETR: 15725\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62393,
"style": "rule"
}
|
{
"exact_answer": 62393,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HPB\", \"id\": 0}, {\"name\": \"LUN\", \"id\": 1}, {\"name\": \"TSH\", \"id\": 2}, {\"name\": \"OTP\", \"id\": 3}, {\"name\": \"TIA\", \"id\": 4}, {\"name\": \"VAR\", \"id\": 5}, {\"name\": \"UIH\", \"id\": 6}, {\"name\": \"NOU\", \"id\": 7}, {\"name\": \"ETR\", \"id\": 8}], \"links\": [{\"weight\": 12715, \"source\": 0, \"target\": 3}, {\"weight\": 12694, \"source\": 0, \"target\": 4}, {\"weight\": 18848, \"source\": 0, \"target\": 1}, {\"weight\": 17469, \"source\": 0, \"target\": 2}, {\"weight\": 10359, \"source\": 0, \"target\": 8}, {\"weight\": 13035, \"source\": 0, \"target\": 5}, {\"weight\": 11729, \"source\": 0, \"target\": 7}, {\"weight\": 15098, \"source\": 0, \"target\": 6}, {\"weight\": 7038, \"source\": 1, \"target\": 3}, {\"weight\": 6993, \"source\": 1, \"target\": 4}, {\"weight\": 1494, \"source\": 1, \"target\": 2}, {\"weight\": 13085, \"source\": 1, \"target\": 8}, {\"weight\": 7359, \"source\": 1, \"target\": 5}, {\"weight\": 14205, \"source\": 1, \"target\": 7}, {\"weight\": 10186, \"source\": 1, \"target\": 6}, {\"weight\": 6290, \"source\": 2, \"target\": 3}, {\"weight\": 6594, \"source\": 2, \"target\": 4}, {\"weight\": 12466, \"source\": 2, \"target\": 8}, {\"weight\": 6679, \"source\": 2, \"target\": 5}, {\"weight\": 15658, \"source\": 2, \"target\": 7}, {\"weight\": 10951, \"source\": 2, \"target\": 6}, {\"weight\": 1097, \"source\": 3, \"target\": 4}, {\"weight\": 11611, \"source\": 3, \"target\": 8}, {\"weight\": 663, \"source\": 3, \"target\": 5}, {\"weight\": 15941, \"source\": 3, \"target\": 7}, {\"weight\": 9104, \"source\": 3, \"target\": 6}, {\"weight\": 11130, \"source\": 4, \"target\": 8}, {\"weight\": 1424, \"source\": 4, \"target\": 5}, {\"weight\": 16579, \"source\": 4, \"target\": 7}, {\"weight\": 9412, \"source\": 4, \"target\": 6}, {\"weight\": 11789, \"source\": 5, \"target\": 8}, {\"weight\": 15981, \"source\": 5, \"target\": 7}, {\"weight\": 9105, \"source\": 5, \"target\": 6}, {\"weight\": 18984, \"source\": 6, \"target\": 8}, {\"weight\": 9118, \"source\": 6, \"target\": 7}, {\"weight\": 15725, \"source\": 7, \"target\": 8}]}",
"id": 457,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HPB, LUN, TSH, OTP, TIA, VAR, UIH, NOU, ETR\n- Travel distances (in kilometers) between each pair of airports:\nHPB to OTP: 12715\nHPB to TIA: 12694\nHPB to LUN: 18848\nHPB to TSH: 17469\nHPB to ETR: 10359\nHPB to VAR: 13035\nHPB to NOU: 11729\nHPB to UIH: 15098\nLUN to OTP: 7038\nLUN to TIA: 6993\nLUN to TSH: 1494\nLUN to ETR: 13085\nLUN to VAR: 7359\nLUN to NOU: 14205\nLUN to UIH: 10186\nTSH to OTP: 6290\nTSH to TIA: 6594\nTSH to ETR: 12466\nTSH to VAR: 6679\nTSH to NOU: 15658\nTSH to UIH: 10951\nOTP to TIA: 1097\nOTP to ETR: 11611\nOTP to VAR: 663\nOTP to NOU: 15941\nOTP to UIH: 9104\nTIA to ETR: 11130\nTIA to VAR: 1424\nTIA to NOU: 16579\nTIA to UIH: 9412\nVAR to ETR: 11789\nVAR to NOU: 15981\nVAR to UIH: 9105\nUIH to ETR: 18984\nUIH to NOU: 9118\nNOU to ETR: 15725\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MEH, MYW, CMU, YTL, FSD, YKA, OLP, LAR, YQC\n- Travel distances (in kilometers) between each pair of airports:\nMEH to YQC: 8540\nMEH to YKA: 8391\nMEH to FSD: 8346\nMEH to MYW: 9514\nMEH to CMU: 14960\nMEH to OLP: 16702\nMEH to LAR: 8681\nMEH to YTL: 8557\nMYW to YQC: 13821\nMYW to YKA: 15362\nMYW to FSD: 14649\nMYW to CMU: 13589\nMYW to OLP: 11497\nMYW to LAR: 15585\nMYW to YTL: 15193\nCMU to YQC: 17229\nCMU to YKA: 13290\nCMU to FSD: 14887\nCMU to OLP: 3946\nCMU to LAR: 14300\nCMU to YTL: 15489\nYTL to YQC: 3160\nYTL to YKA: 2466\nYTL to FSD: 1773\nYTL to OLP: 16730\nYTL to LAR: 2265\nFSD to YQC: 3513\nFSD to YKA: 2455\nFSD to OLP: 15826\nFSD to LAR: 958\nYKA to YQC: 4206\nYKA to OLP: 14301\nYKA to LAR: 2079\nOLP to YQC: 18470\nOLP to LAR: 15239\nLAR to YQC: 4005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54757,
"style": "rule"
}
|
{
"exact_answer": 54757,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MEH\", \"id\": 0}, {\"name\": \"MYW\", \"id\": 1}, {\"name\": \"CMU\", \"id\": 2}, {\"name\": \"YTL\", \"id\": 3}, {\"name\": \"FSD\", \"id\": 4}, {\"name\": \"YKA\", \"id\": 5}, {\"name\": \"OLP\", \"id\": 6}, {\"name\": \"LAR\", \"id\": 7}, {\"name\": \"YQC\", \"id\": 8}], \"links\": [{\"weight\": 8540, \"source\": 0, \"target\": 8}, {\"weight\": 8391, \"source\": 0, \"target\": 5}, {\"weight\": 8346, \"source\": 0, \"target\": 4}, {\"weight\": 9514, \"source\": 0, \"target\": 1}, {\"weight\": 14960, \"source\": 0, \"target\": 2}, {\"weight\": 16702, \"source\": 0, \"target\": 6}, {\"weight\": 8681, \"source\": 0, \"target\": 7}, {\"weight\": 8557, \"source\": 0, \"target\": 3}, {\"weight\": 13821, \"source\": 1, \"target\": 8}, {\"weight\": 15362, \"source\": 1, \"target\": 5}, {\"weight\": 14649, \"source\": 1, \"target\": 4}, {\"weight\": 13589, \"source\": 1, \"target\": 2}, {\"weight\": 11497, \"source\": 1, \"target\": 6}, {\"weight\": 15585, \"source\": 1, \"target\": 7}, {\"weight\": 15193, \"source\": 1, \"target\": 3}, {\"weight\": 17229, \"source\": 2, \"target\": 8}, {\"weight\": 13290, \"source\": 2, \"target\": 5}, {\"weight\": 14887, \"source\": 2, \"target\": 4}, {\"weight\": 3946, \"source\": 2, \"target\": 6}, {\"weight\": 14300, \"source\": 2, \"target\": 7}, {\"weight\": 15489, \"source\": 2, \"target\": 3}, {\"weight\": 3160, \"source\": 3, \"target\": 8}, {\"weight\": 2466, \"source\": 3, \"target\": 5}, {\"weight\": 1773, \"source\": 3, \"target\": 4}, {\"weight\": 16730, \"source\": 3, \"target\": 6}, {\"weight\": 2265, \"source\": 3, \"target\": 7}, {\"weight\": 3513, \"source\": 4, \"target\": 8}, {\"weight\": 2455, \"source\": 4, \"target\": 5}, {\"weight\": 15826, \"source\": 4, \"target\": 6}, {\"weight\": 958, \"source\": 4, \"target\": 7}, {\"weight\": 4206, \"source\": 5, \"target\": 8}, {\"weight\": 14301, \"source\": 5, \"target\": 6}, {\"weight\": 2079, \"source\": 5, \"target\": 7}, {\"weight\": 18470, \"source\": 6, \"target\": 8}, {\"weight\": 15239, \"source\": 6, \"target\": 7}, {\"weight\": 4005, \"source\": 7, \"target\": 8}]}",
"id": 458,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MEH, MYW, CMU, YTL, FSD, YKA, OLP, LAR, YQC\n- Travel distances (in kilometers) between each pair of airports:\nMEH to YQC: 8540\nMEH to YKA: 8391\nMEH to FSD: 8346\nMEH to MYW: 9514\nMEH to CMU: 14960\nMEH to OLP: 16702\nMEH to LAR: 8681\nMEH to YTL: 8557\nMYW to YQC: 13821\nMYW to YKA: 15362\nMYW to FSD: 14649\nMYW to CMU: 13589\nMYW to OLP: 11497\nMYW to LAR: 15585\nMYW to YTL: 15193\nCMU to YQC: 17229\nCMU to YKA: 13290\nCMU to FSD: 14887\nCMU to OLP: 3946\nCMU to LAR: 14300\nCMU to YTL: 15489\nYTL to YQC: 3160\nYTL to YKA: 2466\nYTL to FSD: 1773\nYTL to OLP: 16730\nYTL to LAR: 2265\nFSD to YQC: 3513\nFSD to YKA: 2455\nFSD to OLP: 15826\nFSD to LAR: 958\nYKA to YQC: 4206\nYKA to OLP: 14301\nYKA to LAR: 2079\nOLP to YQC: 18470\nOLP to LAR: 15239\nLAR to YQC: 4005\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, ORK, YTQ, CPX, AVV, RDN, OLF, SCL, IXA\n- Travel distances (in kilometers) between each pair of airports:\nCAG to YTQ: 7230\nCAG to SCL: 11803\nCAG to IXA: 7881\nCAG to OLF: 9528\nCAG to CPX: 7990\nCAG to ORK: 2047\nCAG to RDN: 10392\nCAG to AVV: 17412\nORK to YTQ: 6231\nORK to SCL: 11947\nORK to IXA: 8890\nORK to OLF: 8429\nORK to CPX: 7570\nORK to RDN: 11244\nORK to AVV: 18220\nYTQ to SCL: 10332\nYTQ to IXA: 14034\nYTQ to OLF: 4497\nYTQ to CPX: 4734\nYTQ to RDN: 16437\nYTQ to AVV: 17443\nCPX to SCL: 5873\nCPX to IXA: 15189\nCPX to OLF: 5496\nCPX to RDN: 17704\nCPX to AVV: 17967\nAVV to SCL: 12094\nAVV to IXA: 10198\nAVV to OLF: 14541\nAVV to RDN: 7438\nRDN to SCL: 18022\nRDN to IXA: 3255\nRDN to OLF: 14637\nOLF to SCL: 9968\nOLF to IXA: 13987\nSCL to IXA: 18399\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54812,
"style": "rule"
}
|
{
"exact_answer": 54812,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CAG\", \"id\": 0}, {\"name\": \"ORK\", \"id\": 1}, {\"name\": \"YTQ\", \"id\": 2}, {\"name\": \"CPX\", \"id\": 3}, {\"name\": \"AVV\", \"id\": 4}, {\"name\": \"RDN\", \"id\": 5}, {\"name\": \"OLF\", \"id\": 6}, {\"name\": \"SCL\", \"id\": 7}, {\"name\": \"IXA\", \"id\": 8}], \"links\": [{\"weight\": 7230, \"source\": 0, \"target\": 2}, {\"weight\": 11803, \"source\": 0, \"target\": 7}, {\"weight\": 7881, \"source\": 0, \"target\": 8}, {\"weight\": 9528, \"source\": 0, \"target\": 6}, {\"weight\": 7990, \"source\": 0, \"target\": 3}, {\"weight\": 2047, \"source\": 0, \"target\": 1}, {\"weight\": 10392, \"source\": 0, \"target\": 5}, {\"weight\": 17412, \"source\": 0, \"target\": 4}, {\"weight\": 6231, \"source\": 1, \"target\": 2}, {\"weight\": 11947, \"source\": 1, \"target\": 7}, {\"weight\": 8890, \"source\": 1, \"target\": 8}, {\"weight\": 8429, \"source\": 1, \"target\": 6}, {\"weight\": 7570, \"source\": 1, \"target\": 3}, {\"weight\": 11244, \"source\": 1, \"target\": 5}, {\"weight\": 18220, \"source\": 1, \"target\": 4}, {\"weight\": 10332, \"source\": 2, \"target\": 7}, {\"weight\": 14034, \"source\": 2, \"target\": 8}, {\"weight\": 4497, \"source\": 2, \"target\": 6}, {\"weight\": 4734, \"source\": 2, \"target\": 3}, {\"weight\": 16437, \"source\": 2, \"target\": 5}, {\"weight\": 17443, \"source\": 2, \"target\": 4}, {\"weight\": 5873, \"source\": 3, \"target\": 7}, {\"weight\": 15189, \"source\": 3, \"target\": 8}, {\"weight\": 5496, \"source\": 3, \"target\": 6}, {\"weight\": 17704, \"source\": 3, \"target\": 5}, {\"weight\": 17967, \"source\": 3, \"target\": 4}, {\"weight\": 12094, \"source\": 4, \"target\": 7}, {\"weight\": 10198, \"source\": 4, \"target\": 8}, {\"weight\": 14541, \"source\": 4, \"target\": 6}, {\"weight\": 7438, \"source\": 4, \"target\": 5}, {\"weight\": 18022, \"source\": 5, \"target\": 7}, {\"weight\": 3255, \"source\": 5, \"target\": 8}, {\"weight\": 14637, \"source\": 5, \"target\": 6}, {\"weight\": 9968, \"source\": 6, \"target\": 7}, {\"weight\": 13987, \"source\": 6, \"target\": 8}, {\"weight\": 18399, \"source\": 7, \"target\": 8}]}",
"id": 459,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CAG, ORK, YTQ, CPX, AVV, RDN, OLF, SCL, IXA\n- Travel distances (in kilometers) between each pair of airports:\nCAG to YTQ: 7230\nCAG to SCL: 11803\nCAG to IXA: 7881\nCAG to OLF: 9528\nCAG to CPX: 7990\nCAG to ORK: 2047\nCAG to RDN: 10392\nCAG to AVV: 17412\nORK to YTQ: 6231\nORK to SCL: 11947\nORK to IXA: 8890\nORK to OLF: 8429\nORK to CPX: 7570\nORK to RDN: 11244\nORK to AVV: 18220\nYTQ to SCL: 10332\nYTQ to IXA: 14034\nYTQ to OLF: 4497\nYTQ to CPX: 4734\nYTQ to RDN: 16437\nYTQ to AVV: 17443\nCPX to SCL: 5873\nCPX to IXA: 15189\nCPX to OLF: 5496\nCPX to RDN: 17704\nCPX to AVV: 17967\nAVV to SCL: 12094\nAVV to IXA: 10198\nAVV to OLF: 14541\nAVV to RDN: 7438\nRDN to SCL: 18022\nRDN to IXA: 3255\nRDN to OLF: 14637\nOLF to SCL: 9968\nOLF to IXA: 13987\nSCL to IXA: 18399\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, DJB, BNN, JIJ, YXL, YEK, PEW, VLI, UTS\n- Travel distances (in kilometers) between each pair of airports:\nPAC to YEK: 6499\nPAC to PEW: 15216\nPAC to JIJ: 15100\nPAC to VLI: 14763\nPAC to DJB: 19651\nPAC to YXL: 5474\nPAC to UTS: 12531\nPAC to BNN: 10093\nDJB to YEK: 16456\nDJB to PEW: 5546\nDJB to JIJ: 8366\nDJB to VLI: 7789\nDJB to YXL: 15581\nDJB to UTS: 8850\nDJB to BNN: 10744\nBNN to YEK: 8801\nBNN to PEW: 5642\nBNN to JIJ: 6906\nBNN to VLI: 16523\nBNN to YXL: 7213\nBNN to UTS: 2959\nJIJ to YEK: 13882\nJIJ to PEW: 4184\nJIJ to VLI: 15416\nJIJ to YXL: 13112\nJIJ to UTS: 6844\nYXL to YEK: 1653\nYXL to PEW: 12318\nYXL to VLI: 12677\nYXL to UTS: 9651\nYEK to PEW: 13617\nYEK to VLI: 13552\nYEK to UTS: 11239\nPEW to VLI: 12297\nPEW to UTS: 3981\nVLI to UTS: 14796\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57407,
"style": "rule"
}
|
{
"exact_answer": 57407,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAC\", \"id\": 0}, {\"name\": \"DJB\", \"id\": 1}, {\"name\": \"BNN\", \"id\": 2}, {\"name\": \"JIJ\", \"id\": 3}, {\"name\": \"YXL\", \"id\": 4}, {\"name\": \"YEK\", \"id\": 5}, {\"name\": \"PEW\", \"id\": 6}, {\"name\": \"VLI\", \"id\": 7}, {\"name\": \"UTS\", \"id\": 8}], \"links\": [{\"weight\": 6499, \"source\": 0, \"target\": 5}, {\"weight\": 15216, \"source\": 0, \"target\": 6}, {\"weight\": 15100, \"source\": 0, \"target\": 3}, {\"weight\": 14763, \"source\": 0, \"target\": 7}, {\"weight\": 19651, \"source\": 0, \"target\": 1}, {\"weight\": 5474, \"source\": 0, \"target\": 4}, {\"weight\": 12531, \"source\": 0, \"target\": 8}, {\"weight\": 10093, \"source\": 0, \"target\": 2}, {\"weight\": 16456, \"source\": 1, \"target\": 5}, {\"weight\": 5546, \"source\": 1, \"target\": 6}, {\"weight\": 8366, \"source\": 1, \"target\": 3}, {\"weight\": 7789, \"source\": 1, \"target\": 7}, {\"weight\": 15581, \"source\": 1, \"target\": 4}, {\"weight\": 8850, \"source\": 1, \"target\": 8}, {\"weight\": 10744, \"source\": 1, \"target\": 2}, {\"weight\": 8801, \"source\": 2, \"target\": 5}, {\"weight\": 5642, \"source\": 2, \"target\": 6}, {\"weight\": 6906, \"source\": 2, \"target\": 3}, {\"weight\": 16523, \"source\": 2, \"target\": 7}, {\"weight\": 7213, \"source\": 2, \"target\": 4}, {\"weight\": 2959, \"source\": 2, \"target\": 8}, {\"weight\": 13882, \"source\": 3, \"target\": 5}, {\"weight\": 4184, \"source\": 3, \"target\": 6}, {\"weight\": 15416, \"source\": 3, \"target\": 7}, {\"weight\": 13112, \"source\": 3, \"target\": 4}, {\"weight\": 6844, \"source\": 3, \"target\": 8}, {\"weight\": 1653, \"source\": 4, \"target\": 5}, {\"weight\": 12318, \"source\": 4, \"target\": 6}, {\"weight\": 12677, \"source\": 4, \"target\": 7}, {\"weight\": 9651, \"source\": 4, \"target\": 8}, {\"weight\": 13617, \"source\": 5, \"target\": 6}, {\"weight\": 13552, \"source\": 5, \"target\": 7}, {\"weight\": 11239, \"source\": 5, \"target\": 8}, {\"weight\": 12297, \"source\": 6, \"target\": 7}, {\"weight\": 3981, \"source\": 6, \"target\": 8}, {\"weight\": 14796, \"source\": 7, \"target\": 8}]}",
"id": 460,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, DJB, BNN, JIJ, YXL, YEK, PEW, VLI, UTS\n- Travel distances (in kilometers) between each pair of airports:\nPAC to YEK: 6499\nPAC to PEW: 15216\nPAC to JIJ: 15100\nPAC to VLI: 14763\nPAC to DJB: 19651\nPAC to YXL: 5474\nPAC to UTS: 12531\nPAC to BNN: 10093\nDJB to YEK: 16456\nDJB to PEW: 5546\nDJB to JIJ: 8366\nDJB to VLI: 7789\nDJB to YXL: 15581\nDJB to UTS: 8850\nDJB to BNN: 10744\nBNN to YEK: 8801\nBNN to PEW: 5642\nBNN to JIJ: 6906\nBNN to VLI: 16523\nBNN to YXL: 7213\nBNN to UTS: 2959\nJIJ to YEK: 13882\nJIJ to PEW: 4184\nJIJ to VLI: 15416\nJIJ to YXL: 13112\nJIJ to UTS: 6844\nYXL to YEK: 1653\nYXL to PEW: 12318\nYXL to VLI: 12677\nYXL to UTS: 9651\nYEK to PEW: 13617\nYEK to VLI: 13552\nYEK to UTS: 11239\nPEW to VLI: 12297\nPEW to UTS: 3981\nVLI to UTS: 14796\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EAT, KIF, QUV, LRR, ITM, ILI, FAT, BHD, CMB\n- Travel distances (in kilometers) between each pair of airports:\nEAT to CMB: 14000\nEAT to BHD: 7482\nEAT to FAT: 1363\nEAT to ITM: 8272\nEAT to LRR: 12371\nEAT to QUV: 8021\nEAT to ILI: 2795\nEAT to KIF: 2815\nKIF to CMB: 15592\nKIF to BHD: 6981\nKIF to FAT: 3263\nKIF to ITM: 10339\nKIF to LRR: 12494\nKIF to QUV: 7754\nKIF to ILI: 5294\nQUV to CMB: 11944\nQUV to BHD: 3565\nQUV to FAT: 9068\nQUV to ITM: 12496\nQUV to LRR: 8961\nQUV to ILI: 10500\nLRR to CMB: 3562\nLRR to BHD: 5721\nLRR to FAT: 13418\nLRR to ITM: 7978\nLRR to ILI: 14850\nITM to CMB: 6431\nITM to BHD: 9934\nITM to FAT: 8941\nITM to ILI: 10751\nILI to CMB: 16479\nILI to BHD: 9961\nILI to FAT: 3796\nFAT to CMB: 14910\nFAT to BHD: 8529\nBHD to CMB: 9133\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45159,
"style": "rule"
}
|
{
"exact_answer": 45159,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EAT\", \"id\": 0}, {\"name\": \"KIF\", \"id\": 1}, {\"name\": \"QUV\", \"id\": 2}, {\"name\": \"LRR\", \"id\": 3}, {\"name\": \"ITM\", \"id\": 4}, {\"name\": \"ILI\", \"id\": 5}, {\"name\": \"FAT\", \"id\": 6}, {\"name\": \"BHD\", \"id\": 7}, {\"name\": \"CMB\", \"id\": 8}], \"links\": [{\"weight\": 14000, \"source\": 0, \"target\": 8}, {\"weight\": 7482, \"source\": 0, \"target\": 7}, {\"weight\": 1363, \"source\": 0, \"target\": 6}, {\"weight\": 8272, \"source\": 0, \"target\": 4}, {\"weight\": 12371, \"source\": 0, \"target\": 3}, {\"weight\": 8021, \"source\": 0, \"target\": 2}, {\"weight\": 2795, \"source\": 0, \"target\": 5}, {\"weight\": 2815, \"source\": 0, \"target\": 1}, {\"weight\": 15592, \"source\": 1, \"target\": 8}, {\"weight\": 6981, \"source\": 1, \"target\": 7}, {\"weight\": 3263, \"source\": 1, \"target\": 6}, {\"weight\": 10339, \"source\": 1, \"target\": 4}, {\"weight\": 12494, \"source\": 1, \"target\": 3}, {\"weight\": 7754, \"source\": 1, \"target\": 2}, {\"weight\": 5294, \"source\": 1, \"target\": 5}, {\"weight\": 11944, \"source\": 2, \"target\": 8}, {\"weight\": 3565, \"source\": 2, \"target\": 7}, {\"weight\": 9068, \"source\": 2, \"target\": 6}, {\"weight\": 12496, \"source\": 2, \"target\": 4}, {\"weight\": 8961, \"source\": 2, \"target\": 3}, {\"weight\": 10500, \"source\": 2, \"target\": 5}, {\"weight\": 3562, \"source\": 3, \"target\": 8}, {\"weight\": 5721, \"source\": 3, \"target\": 7}, {\"weight\": 13418, \"source\": 3, \"target\": 6}, {\"weight\": 7978, \"source\": 3, \"target\": 4}, {\"weight\": 14850, \"source\": 3, \"target\": 5}, {\"weight\": 6431, \"source\": 4, \"target\": 8}, {\"weight\": 9934, \"source\": 4, \"target\": 7}, {\"weight\": 8941, \"source\": 4, \"target\": 6}, {\"weight\": 10751, \"source\": 4, \"target\": 5}, {\"weight\": 16479, \"source\": 5, \"target\": 8}, {\"weight\": 9961, \"source\": 5, \"target\": 7}, {\"weight\": 3796, \"source\": 5, \"target\": 6}, {\"weight\": 14910, \"source\": 6, \"target\": 8}, {\"weight\": 8529, \"source\": 6, \"target\": 7}, {\"weight\": 9133, \"source\": 7, \"target\": 8}]}",
"id": 461,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EAT, KIF, QUV, LRR, ITM, ILI, FAT, BHD, CMB\n- Travel distances (in kilometers) between each pair of airports:\nEAT to CMB: 14000\nEAT to BHD: 7482\nEAT to FAT: 1363\nEAT to ITM: 8272\nEAT to LRR: 12371\nEAT to QUV: 8021\nEAT to ILI: 2795\nEAT to KIF: 2815\nKIF to CMB: 15592\nKIF to BHD: 6981\nKIF to FAT: 3263\nKIF to ITM: 10339\nKIF to LRR: 12494\nKIF to QUV: 7754\nKIF to ILI: 5294\nQUV to CMB: 11944\nQUV to BHD: 3565\nQUV to FAT: 9068\nQUV to ITM: 12496\nQUV to LRR: 8961\nQUV to ILI: 10500\nLRR to CMB: 3562\nLRR to BHD: 5721\nLRR to FAT: 13418\nLRR to ITM: 7978\nLRR to ILI: 14850\nITM to CMB: 6431\nITM to BHD: 9934\nITM to FAT: 8941\nITM to ILI: 10751\nILI to CMB: 16479\nILI to BHD: 9961\nILI to FAT: 3796\nFAT to CMB: 14910\nFAT to BHD: 8529\nBHD to CMB: 9133\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, MSN, FTE, EVE, TLS, WAT, LAQ, CDC, RNB\n- Travel distances (in kilometers) between each pair of airports:\nZOS to TLS: 12082\nZOS to MSN: 9552\nZOS to FTE: 3359\nZOS to WAT: 13312\nZOS to EVE: 14803\nZOS to RNB: 14394\nZOS to CDC: 10611\nZOS to LAQ: 13732\nMSN to TLS: 7076\nMSN to FTE: 11251\nMSN to WAT: 6661\nMSN to EVE: 7260\nMSN to RNB: 7436\nMSN to CDC: 2240\nMSN to LAQ: 9279\nFTE to TLS: 12659\nFTE to WAT: 13654\nFTE to EVE: 15275\nFTE to RNB: 14998\nFTE to CDC: 12488\nFTE to LAQ: 14052\nEVE to TLS: 2902\nEVE to WAT: 2303\nEVE to RNB: 1584\nEVE to CDC: 8928\nEVE to LAQ: 4721\nTLS to WAT: 1455\nTLS to RNB: 2485\nTLS to CDC: 9113\nTLS to LAQ: 2224\nWAT to RNB: 2135\nWAT to CDC: 8638\nWAT to LAQ: 3497\nLAQ to RNB: 4161\nLAQ to CDC: 11156\nCDC to RNB: 9229\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44920,
"style": "rule"
}
|
{
"exact_answer": 44920,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZOS\", \"id\": 0}, {\"name\": \"MSN\", \"id\": 1}, {\"name\": \"FTE\", \"id\": 2}, {\"name\": \"EVE\", \"id\": 3}, {\"name\": \"TLS\", \"id\": 4}, {\"name\": \"WAT\", \"id\": 5}, {\"name\": \"LAQ\", \"id\": 6}, {\"name\": \"CDC\", \"id\": 7}, {\"name\": \"RNB\", \"id\": 8}], \"links\": [{\"weight\": 12082, \"source\": 0, \"target\": 4}, {\"weight\": 9552, \"source\": 0, \"target\": 1}, {\"weight\": 3359, \"source\": 0, \"target\": 2}, {\"weight\": 13312, \"source\": 0, \"target\": 5}, {\"weight\": 14803, \"source\": 0, \"target\": 3}, {\"weight\": 14394, \"source\": 0, \"target\": 8}, {\"weight\": 10611, \"source\": 0, \"target\": 7}, {\"weight\": 13732, \"source\": 0, \"target\": 6}, {\"weight\": 7076, \"source\": 1, \"target\": 4}, {\"weight\": 11251, \"source\": 1, \"target\": 2}, {\"weight\": 6661, \"source\": 1, \"target\": 5}, {\"weight\": 7260, \"source\": 1, \"target\": 3}, {\"weight\": 7436, \"source\": 1, \"target\": 8}, {\"weight\": 2240, \"source\": 1, \"target\": 7}, {\"weight\": 9279, \"source\": 1, \"target\": 6}, {\"weight\": 12659, \"source\": 2, \"target\": 4}, {\"weight\": 13654, \"source\": 2, \"target\": 5}, {\"weight\": 15275, \"source\": 2, \"target\": 3}, {\"weight\": 14998, \"source\": 2, \"target\": 8}, {\"weight\": 12488, \"source\": 2, \"target\": 7}, {\"weight\": 14052, \"source\": 2, \"target\": 6}, {\"weight\": 2902, \"source\": 3, \"target\": 4}, {\"weight\": 2303, \"source\": 3, \"target\": 5}, {\"weight\": 1584, \"source\": 3, \"target\": 8}, {\"weight\": 8928, \"source\": 3, \"target\": 7}, {\"weight\": 4721, \"source\": 3, \"target\": 6}, {\"weight\": 1455, \"source\": 4, \"target\": 5}, {\"weight\": 2485, \"source\": 4, \"target\": 8}, {\"weight\": 9113, \"source\": 4, \"target\": 7}, {\"weight\": 2224, \"source\": 4, \"target\": 6}, {\"weight\": 2135, \"source\": 5, \"target\": 8}, {\"weight\": 8638, \"source\": 5, \"target\": 7}, {\"weight\": 3497, \"source\": 5, \"target\": 6}, {\"weight\": 4161, \"source\": 6, \"target\": 8}, {\"weight\": 11156, \"source\": 6, \"target\": 7}, {\"weight\": 9229, \"source\": 7, \"target\": 8}]}",
"id": 462,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, MSN, FTE, EVE, TLS, WAT, LAQ, CDC, RNB\n- Travel distances (in kilometers) between each pair of airports:\nZOS to TLS: 12082\nZOS to MSN: 9552\nZOS to FTE: 3359\nZOS to WAT: 13312\nZOS to EVE: 14803\nZOS to RNB: 14394\nZOS to CDC: 10611\nZOS to LAQ: 13732\nMSN to TLS: 7076\nMSN to FTE: 11251\nMSN to WAT: 6661\nMSN to EVE: 7260\nMSN to RNB: 7436\nMSN to CDC: 2240\nMSN to LAQ: 9279\nFTE to TLS: 12659\nFTE to WAT: 13654\nFTE to EVE: 15275\nFTE to RNB: 14998\nFTE to CDC: 12488\nFTE to LAQ: 14052\nEVE to TLS: 2902\nEVE to WAT: 2303\nEVE to RNB: 1584\nEVE to CDC: 8928\nEVE to LAQ: 4721\nTLS to WAT: 1455\nTLS to RNB: 2485\nTLS to CDC: 9113\nTLS to LAQ: 2224\nWAT to RNB: 2135\nWAT to CDC: 8638\nWAT to LAQ: 3497\nLAQ to RNB: 4161\nLAQ to CDC: 11156\nCDC to RNB: 9229\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAX, TGZ, KVD, SGD, MYW, SFN, YZY, SBA, MZT\n- Travel distances (in kilometers) between each pair of airports:\nJAX to MZT: 2660\nJAX to TGZ: 2210\nJAX to SGD: 7717\nJAX to SFN: 8144\nJAX to SBA: 3598\nJAX to YZY: 13573\nJAX to KVD: 10621\nJAX to MYW: 14444\nTGZ to MZT: 1566\nTGZ to SGD: 9705\nTGZ to SFN: 8177\nTGZ to SBA: 3355\nTGZ to YZY: 14769\nTGZ to KVD: 12610\nTGZ to MYW: 16058\nKVD to MZT: 12624\nKVD to SGD: 3528\nKVD to SFN: 14109\nKVD to SBA: 12084\nKVD to YZY: 5430\nKVD to MYW: 6226\nSGD to MZT: 9747\nSGD to SFN: 12667\nSGD to SBA: 9365\nSGD to YZY: 7496\nSGD to MYW: 7988\nMYW to MZT: 16482\nMYW to SFN: 12325\nMYW to SBA: 16804\nMYW to YZY: 9501\nSFN to MZT: 8651\nSFN to SBA: 10417\nSFN to YZY: 19386\nYZY to MZT: 13339\nYZY to SBA: 11534\nSBA to MZT: 1825\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53667,
"style": "rule"
}
|
{
"exact_answer": 53667,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAX\", \"id\": 0}, {\"name\": \"TGZ\", \"id\": 1}, {\"name\": \"KVD\", \"id\": 2}, {\"name\": \"SGD\", \"id\": 3}, {\"name\": \"MYW\", \"id\": 4}, {\"name\": \"SFN\", \"id\": 5}, {\"name\": \"YZY\", \"id\": 6}, {\"name\": \"SBA\", \"id\": 7}, {\"name\": \"MZT\", \"id\": 8}], \"links\": [{\"weight\": 2660, \"source\": 0, \"target\": 8}, {\"weight\": 2210, \"source\": 0, \"target\": 1}, {\"weight\": 7717, \"source\": 0, \"target\": 3}, {\"weight\": 8144, \"source\": 0, \"target\": 5}, {\"weight\": 3598, \"source\": 0, \"target\": 7}, {\"weight\": 13573, \"source\": 0, \"target\": 6}, {\"weight\": 10621, \"source\": 0, \"target\": 2}, {\"weight\": 14444, \"source\": 0, \"target\": 4}, {\"weight\": 1566, \"source\": 1, \"target\": 8}, {\"weight\": 9705, \"source\": 1, \"target\": 3}, {\"weight\": 8177, \"source\": 1, \"target\": 5}, {\"weight\": 3355, \"source\": 1, \"target\": 7}, {\"weight\": 14769, \"source\": 1, \"target\": 6}, {\"weight\": 12610, \"source\": 1, \"target\": 2}, {\"weight\": 16058, \"source\": 1, \"target\": 4}, {\"weight\": 12624, \"source\": 2, \"target\": 8}, {\"weight\": 3528, \"source\": 2, \"target\": 3}, {\"weight\": 14109, \"source\": 2, \"target\": 5}, {\"weight\": 12084, \"source\": 2, \"target\": 7}, {\"weight\": 5430, \"source\": 2, \"target\": 6}, {\"weight\": 6226, \"source\": 2, \"target\": 4}, {\"weight\": 9747, \"source\": 3, \"target\": 8}, {\"weight\": 12667, \"source\": 3, \"target\": 5}, {\"weight\": 9365, \"source\": 3, \"target\": 7}, {\"weight\": 7496, \"source\": 3, \"target\": 6}, {\"weight\": 7988, \"source\": 3, \"target\": 4}, {\"weight\": 16482, \"source\": 4, \"target\": 8}, {\"weight\": 12325, \"source\": 4, \"target\": 5}, {\"weight\": 16804, \"source\": 4, \"target\": 7}, {\"weight\": 9501, \"source\": 4, \"target\": 6}, {\"weight\": 8651, \"source\": 5, \"target\": 8}, {\"weight\": 10417, \"source\": 5, \"target\": 7}, {\"weight\": 19386, \"source\": 5, \"target\": 6}, {\"weight\": 13339, \"source\": 6, \"target\": 8}, {\"weight\": 11534, \"source\": 6, \"target\": 7}, {\"weight\": 1825, \"source\": 7, \"target\": 8}]}",
"id": 463,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAX, TGZ, KVD, SGD, MYW, SFN, YZY, SBA, MZT\n- Travel distances (in kilometers) between each pair of airports:\nJAX to MZT: 2660\nJAX to TGZ: 2210\nJAX to SGD: 7717\nJAX to SFN: 8144\nJAX to SBA: 3598\nJAX to YZY: 13573\nJAX to KVD: 10621\nJAX to MYW: 14444\nTGZ to MZT: 1566\nTGZ to SGD: 9705\nTGZ to SFN: 8177\nTGZ to SBA: 3355\nTGZ to YZY: 14769\nTGZ to KVD: 12610\nTGZ to MYW: 16058\nKVD to MZT: 12624\nKVD to SGD: 3528\nKVD to SFN: 14109\nKVD to SBA: 12084\nKVD to YZY: 5430\nKVD to MYW: 6226\nSGD to MZT: 9747\nSGD to SFN: 12667\nSGD to SBA: 9365\nSGD to YZY: 7496\nSGD to MYW: 7988\nMYW to MZT: 16482\nMYW to SFN: 12325\nMYW to SBA: 16804\nMYW to YZY: 9501\nSFN to MZT: 8651\nSFN to SBA: 10417\nSFN to YZY: 19386\nYZY to MZT: 13339\nYZY to SBA: 11534\nSBA to MZT: 1825\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, MEX, CGA, YGJ, GBB, VQS, GET, YPH, HRE\n- Travel distances (in kilometers) between each pair of airports:\nZOS to CGA: 12402\nZOS to YPH: 11082\nZOS to MEX: 7422\nZOS to VQS: 6675\nZOS to HRE: 11835\nZOS to YGJ: 18916\nZOS to GET: 15811\nZOS to GBB: 16754\nMEX to CGA: 4980\nMEX to YPH: 5036\nMEX to VQS: 3636\nMEX to HRE: 14910\nMEX to YGJ: 11898\nMEX to GET: 18008\nMEX to GBB: 12538\nCGA to YPH: 4900\nCGA to VQS: 7240\nCGA to HRE: 17237\nCGA to YGJ: 9484\nCGA to GET: 17018\nCGA to GBB: 12150\nYGJ to YPH: 11583\nYGJ to VQS: 14086\nYGJ to HRE: 12652\nYGJ to GET: 8516\nYGJ to GBB: 9105\nGBB to YPH: 10451\nGBB to VQS: 11161\nGBB to HRE: 10089\nGBB to GET: 14404\nVQS to YPH: 4634\nVQS to HRE: 13638\nVQS to GET: 20834\nGET to YPH: 19496\nGET to HRE: 9636\nYPH to HRE: 14416\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69734,
"style": "rule"
}
|
{
"exact_answer": 69734,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZOS\", \"id\": 0}, {\"name\": \"MEX\", \"id\": 1}, {\"name\": \"CGA\", \"id\": 2}, {\"name\": \"YGJ\", \"id\": 3}, {\"name\": \"GBB\", \"id\": 4}, {\"name\": \"VQS\", \"id\": 5}, {\"name\": \"GET\", \"id\": 6}, {\"name\": \"YPH\", \"id\": 7}, {\"name\": \"HRE\", \"id\": 8}], \"links\": [{\"weight\": 12402, \"source\": 0, \"target\": 2}, {\"weight\": 11082, \"source\": 0, \"target\": 7}, {\"weight\": 7422, \"source\": 0, \"target\": 1}, {\"weight\": 6675, \"source\": 0, \"target\": 5}, {\"weight\": 11835, \"source\": 0, \"target\": 8}, {\"weight\": 18916, \"source\": 0, \"target\": 3}, {\"weight\": 15811, \"source\": 0, \"target\": 6}, {\"weight\": 16754, \"source\": 0, \"target\": 4}, {\"weight\": 4980, \"source\": 1, \"target\": 2}, {\"weight\": 5036, \"source\": 1, \"target\": 7}, {\"weight\": 3636, \"source\": 1, \"target\": 5}, {\"weight\": 14910, \"source\": 1, \"target\": 8}, {\"weight\": 11898, \"source\": 1, \"target\": 3}, {\"weight\": 18008, \"source\": 1, \"target\": 6}, {\"weight\": 12538, \"source\": 1, \"target\": 4}, {\"weight\": 4900, \"source\": 2, \"target\": 7}, {\"weight\": 7240, \"source\": 2, \"target\": 5}, {\"weight\": 17237, \"source\": 2, \"target\": 8}, {\"weight\": 9484, \"source\": 2, \"target\": 3}, {\"weight\": 17018, \"source\": 2, \"target\": 6}, {\"weight\": 12150, \"source\": 2, \"target\": 4}, {\"weight\": 11583, \"source\": 3, \"target\": 7}, {\"weight\": 14086, \"source\": 3, \"target\": 5}, {\"weight\": 12652, \"source\": 3, \"target\": 8}, {\"weight\": 8516, \"source\": 3, \"target\": 6}, {\"weight\": 9105, \"source\": 3, \"target\": 4}, {\"weight\": 10451, \"source\": 4, \"target\": 7}, {\"weight\": 11161, \"source\": 4, \"target\": 5}, {\"weight\": 10089, \"source\": 4, \"target\": 8}, {\"weight\": 14404, \"source\": 4, \"target\": 6}, {\"weight\": 4634, \"source\": 5, \"target\": 7}, {\"weight\": 13638, \"source\": 5, \"target\": 8}, {\"weight\": 20834, \"source\": 5, \"target\": 6}, {\"weight\": 19496, \"source\": 6, \"target\": 7}, {\"weight\": 9636, \"source\": 6, \"target\": 8}, {\"weight\": 14416, \"source\": 7, \"target\": 8}]}",
"id": 464,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZOS, MEX, CGA, YGJ, GBB, VQS, GET, YPH, HRE\n- Travel distances (in kilometers) between each pair of airports:\nZOS to CGA: 12402\nZOS to YPH: 11082\nZOS to MEX: 7422\nZOS to VQS: 6675\nZOS to HRE: 11835\nZOS to YGJ: 18916\nZOS to GET: 15811\nZOS to GBB: 16754\nMEX to CGA: 4980\nMEX to YPH: 5036\nMEX to VQS: 3636\nMEX to HRE: 14910\nMEX to YGJ: 11898\nMEX to GET: 18008\nMEX to GBB: 12538\nCGA to YPH: 4900\nCGA to VQS: 7240\nCGA to HRE: 17237\nCGA to YGJ: 9484\nCGA to GET: 17018\nCGA to GBB: 12150\nYGJ to YPH: 11583\nYGJ to VQS: 14086\nYGJ to HRE: 12652\nYGJ to GET: 8516\nYGJ to GBB: 9105\nGBB to YPH: 10451\nGBB to VQS: 11161\nGBB to HRE: 10089\nGBB to GET: 14404\nVQS to YPH: 4634\nVQS to HRE: 13638\nVQS to GET: 20834\nGET to YPH: 19496\nGET to HRE: 9636\nYPH to HRE: 14416\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRV, PLS, CWA, OWB, FEN, CYB, BUW, PKB, RIX\n- Travel distances (in kilometers) between each pair of airports:\nMRV to RIX: 2163\nMRV to OWB: 10156\nMRV to PLS: 10842\nMRV to CWA: 9746\nMRV to FEN: 10487\nMRV to BUW: 9866\nMRV to CYB: 11227\nMRV to PKB: 9362\nPLS to RIX: 8773\nPLS to OWB: 2412\nPLS to CWA: 3022\nPLS to FEN: 5645\nPLS to BUW: 18516\nPLS to CYB: 1300\nPLS to PKB: 2641\nCWA to RIX: 7662\nCWA to OWB: 1058\nCWA to FEN: 8554\nCWA to BUW: 15687\nCWA to CYB: 2950\nCWA to PKB: 968\nOWB to RIX: 8036\nOWB to FEN: 8002\nOWB to BUW: 16429\nOWB to CYB: 2162\nOWB to PKB: 1315\nFEN to RIX: 9176\nFEN to BUW: 19793\nFEN to CYB: 6422\nFEN to PKB: 8065\nCYB to RIX: 9182\nCYB to BUW: 18495\nCYB to PKB: 2654\nBUW to RIX: 11483\nBUW to PKB: 16411\nPKB to RIX: 7319\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48282,
"style": "rule"
}
|
{
"exact_answer": 48282,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MRV\", \"id\": 0}, {\"name\": \"PLS\", \"id\": 1}, {\"name\": \"CWA\", \"id\": 2}, {\"name\": \"OWB\", \"id\": 3}, {\"name\": \"FEN\", \"id\": 4}, {\"name\": \"CYB\", \"id\": 5}, {\"name\": \"BUW\", \"id\": 6}, {\"name\": \"PKB\", \"id\": 7}, {\"name\": \"RIX\", \"id\": 8}], \"links\": [{\"weight\": 2163, \"source\": 0, \"target\": 8}, {\"weight\": 10156, \"source\": 0, \"target\": 3}, {\"weight\": 10842, \"source\": 0, \"target\": 1}, {\"weight\": 9746, \"source\": 0, \"target\": 2}, {\"weight\": 10487, \"source\": 0, \"target\": 4}, {\"weight\": 9866, \"source\": 0, \"target\": 6}, {\"weight\": 11227, \"source\": 0, \"target\": 5}, {\"weight\": 9362, \"source\": 0, \"target\": 7}, {\"weight\": 8773, \"source\": 1, \"target\": 8}, {\"weight\": 2412, \"source\": 1, \"target\": 3}, {\"weight\": 3022, \"source\": 1, \"target\": 2}, {\"weight\": 5645, \"source\": 1, \"target\": 4}, {\"weight\": 18516, \"source\": 1, \"target\": 6}, {\"weight\": 1300, \"source\": 1, \"target\": 5}, {\"weight\": 2641, \"source\": 1, \"target\": 7}, {\"weight\": 7662, \"source\": 2, \"target\": 8}, {\"weight\": 1058, \"source\": 2, \"target\": 3}, {\"weight\": 8554, \"source\": 2, \"target\": 4}, {\"weight\": 15687, \"source\": 2, \"target\": 6}, {\"weight\": 2950, \"source\": 2, \"target\": 5}, {\"weight\": 968, \"source\": 2, \"target\": 7}, {\"weight\": 8036, \"source\": 3, \"target\": 8}, {\"weight\": 8002, \"source\": 3, \"target\": 4}, {\"weight\": 16429, \"source\": 3, \"target\": 6}, {\"weight\": 2162, \"source\": 3, \"target\": 5}, {\"weight\": 1315, \"source\": 3, \"target\": 7}, {\"weight\": 9176, \"source\": 4, \"target\": 8}, {\"weight\": 19793, \"source\": 4, \"target\": 6}, {\"weight\": 6422, \"source\": 4, \"target\": 5}, {\"weight\": 8065, \"source\": 4, \"target\": 7}, {\"weight\": 9182, \"source\": 5, \"target\": 8}, {\"weight\": 18495, \"source\": 5, \"target\": 6}, {\"weight\": 2654, \"source\": 5, \"target\": 7}, {\"weight\": 11483, \"source\": 6, \"target\": 8}, {\"weight\": 16411, \"source\": 6, \"target\": 7}, {\"weight\": 7319, \"source\": 7, \"target\": 8}]}",
"id": 465,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRV, PLS, CWA, OWB, FEN, CYB, BUW, PKB, RIX\n- Travel distances (in kilometers) between each pair of airports:\nMRV to RIX: 2163\nMRV to OWB: 10156\nMRV to PLS: 10842\nMRV to CWA: 9746\nMRV to FEN: 10487\nMRV to BUW: 9866\nMRV to CYB: 11227\nMRV to PKB: 9362\nPLS to RIX: 8773\nPLS to OWB: 2412\nPLS to CWA: 3022\nPLS to FEN: 5645\nPLS to BUW: 18516\nPLS to CYB: 1300\nPLS to PKB: 2641\nCWA to RIX: 7662\nCWA to OWB: 1058\nCWA to FEN: 8554\nCWA to BUW: 15687\nCWA to CYB: 2950\nCWA to PKB: 968\nOWB to RIX: 8036\nOWB to FEN: 8002\nOWB to BUW: 16429\nOWB to CYB: 2162\nOWB to PKB: 1315\nFEN to RIX: 9176\nFEN to BUW: 19793\nFEN to CYB: 6422\nFEN to PKB: 8065\nCYB to RIX: 9182\nCYB to BUW: 18495\nCYB to PKB: 2654\nBUW to RIX: 11483\nBUW to PKB: 16411\nPKB to RIX: 7319\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, BUS, TGP, KBL, AQP, YKF, DLA, MMH, YPM\n- Travel distances (in kilometers) between each pair of airports:\nTZA to DLA: 12001\nTZA to KBL: 13864\nTZA to BUS: 11751\nTZA to AQP: 4312\nTZA to MMH: 3926\nTZA to YKF: 3396\nTZA to YPM: 4138\nTZA to TGP: 14013\nBUS to DLA: 5631\nBUS to KBL: 2533\nBUS to AQP: 13604\nBUS to MMH: 11855\nBUS to YKF: 10072\nBUS to YPM: 10305\nBUS to TGP: 4858\nTGP to DLA: 9968\nTGP to KBL: 3685\nTGP to AQP: 17169\nTGP to MMH: 13572\nTGP to YKF: 12354\nTGP to YPM: 12503\nKBL to DLA: 7152\nKBL to AQP: 16109\nKBL to MMH: 13659\nKBL to YKF: 12201\nKBL to YPM: 12354\nAQP to DLA: 9855\nAQP to MMH: 7897\nAQP to YKF: 7513\nAQP to YPM: 8301\nYKF to DLA: 11029\nYKF to MMH: 3848\nYKF to YPM: 2132\nDLA to MMH: 13591\nDLA to YPM: 11212\nMMH to YPM: 3257\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47685,
"style": "rule"
}
|
{
"exact_answer": 47685,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TZA\", \"id\": 0}, {\"name\": \"BUS\", \"id\": 1}, {\"name\": \"TGP\", \"id\": 2}, {\"name\": \"KBL\", \"id\": 3}, {\"name\": \"AQP\", \"id\": 4}, {\"name\": \"YKF\", \"id\": 5}, {\"name\": \"DLA\", \"id\": 6}, {\"name\": \"MMH\", \"id\": 7}, {\"name\": \"YPM\", \"id\": 8}], \"links\": [{\"weight\": 12001, \"source\": 0, \"target\": 6}, {\"weight\": 13864, \"source\": 0, \"target\": 3}, {\"weight\": 11751, \"source\": 0, \"target\": 1}, {\"weight\": 4312, \"source\": 0, \"target\": 4}, {\"weight\": 3926, \"source\": 0, \"target\": 7}, {\"weight\": 3396, \"source\": 0, \"target\": 5}, {\"weight\": 4138, \"source\": 0, \"target\": 8}, {\"weight\": 14013, \"source\": 0, \"target\": 2}, {\"weight\": 5631, \"source\": 1, \"target\": 6}, {\"weight\": 2533, \"source\": 1, \"target\": 3}, {\"weight\": 13604, \"source\": 1, \"target\": 4}, {\"weight\": 11855, \"source\": 1, \"target\": 7}, {\"weight\": 10072, \"source\": 1, \"target\": 5}, {\"weight\": 10305, \"source\": 1, \"target\": 8}, {\"weight\": 4858, \"source\": 1, \"target\": 2}, {\"weight\": 9968, \"source\": 2, \"target\": 6}, {\"weight\": 3685, \"source\": 2, \"target\": 3}, {\"weight\": 17169, \"source\": 2, \"target\": 4}, {\"weight\": 13572, \"source\": 2, \"target\": 7}, {\"weight\": 12354, \"source\": 2, \"target\": 5}, {\"weight\": 12503, \"source\": 2, \"target\": 8}, {\"weight\": 7152, \"source\": 3, \"target\": 6}, {\"weight\": 16109, \"source\": 3, \"target\": 4}, {\"weight\": 13659, \"source\": 3, \"target\": 7}, {\"weight\": 12201, \"source\": 3, \"target\": 5}, {\"weight\": 12354, \"source\": 3, \"target\": 8}, {\"weight\": 9855, \"source\": 4, \"target\": 6}, {\"weight\": 7897, \"source\": 4, \"target\": 7}, {\"weight\": 7513, \"source\": 4, \"target\": 5}, {\"weight\": 8301, \"source\": 4, \"target\": 8}, {\"weight\": 11029, \"source\": 5, \"target\": 6}, {\"weight\": 3848, \"source\": 5, \"target\": 7}, {\"weight\": 2132, \"source\": 5, \"target\": 8}, {\"weight\": 13591, \"source\": 6, \"target\": 7}, {\"weight\": 11212, \"source\": 6, \"target\": 8}, {\"weight\": 3257, \"source\": 7, \"target\": 8}]}",
"id": 466,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, BUS, TGP, KBL, AQP, YKF, DLA, MMH, YPM\n- Travel distances (in kilometers) between each pair of airports:\nTZA to DLA: 12001\nTZA to KBL: 13864\nTZA to BUS: 11751\nTZA to AQP: 4312\nTZA to MMH: 3926\nTZA to YKF: 3396\nTZA to YPM: 4138\nTZA to TGP: 14013\nBUS to DLA: 5631\nBUS to KBL: 2533\nBUS to AQP: 13604\nBUS to MMH: 11855\nBUS to YKF: 10072\nBUS to YPM: 10305\nBUS to TGP: 4858\nTGP to DLA: 9968\nTGP to KBL: 3685\nTGP to AQP: 17169\nTGP to MMH: 13572\nTGP to YKF: 12354\nTGP to YPM: 12503\nKBL to DLA: 7152\nKBL to AQP: 16109\nKBL to MMH: 13659\nKBL to YKF: 12201\nKBL to YPM: 12354\nAQP to DLA: 9855\nAQP to MMH: 7897\nAQP to YKF: 7513\nAQP to YPM: 8301\nYKF to DLA: 11029\nYKF to MMH: 3848\nYKF to YPM: 2132\nDLA to MMH: 13591\nDLA to YPM: 11212\nMMH to YPM: 3257\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRG, YHY, DAC, KSY, BRM, TUL, KUH, GGT, LDU\n- Travel distances (in kilometers) between each pair of airports:\nTRG to GGT: 14901\nTRG to DAC: 11267\nTRG to YHY: 13160\nTRG to BRM: 14970\nTRG to TUL: 12724\nTRG to KUH: 9972\nTRG to LDU: 8831\nTRG to KSY: 17716\nYHY to GGT: 5444\nYHY to DAC: 13517\nYHY to BRM: 7158\nYHY to TUL: 3356\nYHY to KUH: 10030\nYHY to LDU: 13450\nYHY to KSY: 11108\nDAC to GGT: 15175\nDAC to BRM: 15863\nDAC to TUL: 14386\nDAC to KUH: 5516\nDAC to LDU: 3836\nDAC to KSY: 6512\nKSY to GGT: 10912\nKSY to BRM: 11182\nKSY to TUL: 10942\nKSY to KUH: 9854\nKSY to LDU: 10296\nBRM to GGT: 2271\nBRM to TUL: 4044\nBRM to KUH: 15102\nBRM to LDU: 18446\nTUL to GGT: 2389\nTUL to KUH: 11131\nTUL to LDU: 14575\nKUH to GGT: 13390\nKUH to LDU: 5275\nGGT to LDU: 16791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57953,
"style": "rule"
}
|
{
"exact_answer": 57953,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRG\", \"id\": 0}, {\"name\": \"YHY\", \"id\": 1}, {\"name\": \"DAC\", \"id\": 2}, {\"name\": \"KSY\", \"id\": 3}, {\"name\": \"BRM\", \"id\": 4}, {\"name\": \"TUL\", \"id\": 5}, {\"name\": \"KUH\", \"id\": 6}, {\"name\": \"GGT\", \"id\": 7}, {\"name\": \"LDU\", \"id\": 8}], \"links\": [{\"weight\": 14901, \"source\": 0, \"target\": 7}, {\"weight\": 11267, \"source\": 0, \"target\": 2}, {\"weight\": 13160, \"source\": 0, \"target\": 1}, {\"weight\": 14970, \"source\": 0, \"target\": 4}, {\"weight\": 12724, \"source\": 0, \"target\": 5}, {\"weight\": 9972, \"source\": 0, \"target\": 6}, {\"weight\": 8831, \"source\": 0, \"target\": 8}, {\"weight\": 17716, \"source\": 0, \"target\": 3}, {\"weight\": 5444, \"source\": 1, \"target\": 7}, {\"weight\": 13517, \"source\": 1, \"target\": 2}, {\"weight\": 7158, \"source\": 1, \"target\": 4}, {\"weight\": 3356, \"source\": 1, \"target\": 5}, {\"weight\": 10030, \"source\": 1, \"target\": 6}, {\"weight\": 13450, \"source\": 1, \"target\": 8}, {\"weight\": 11108, \"source\": 1, \"target\": 3}, {\"weight\": 15175, \"source\": 2, \"target\": 7}, {\"weight\": 15863, \"source\": 2, \"target\": 4}, {\"weight\": 14386, \"source\": 2, \"target\": 5}, {\"weight\": 5516, \"source\": 2, \"target\": 6}, {\"weight\": 3836, \"source\": 2, \"target\": 8}, {\"weight\": 6512, \"source\": 2, \"target\": 3}, {\"weight\": 10912, \"source\": 3, \"target\": 7}, {\"weight\": 11182, \"source\": 3, \"target\": 4}, {\"weight\": 10942, \"source\": 3, \"target\": 5}, {\"weight\": 9854, \"source\": 3, \"target\": 6}, {\"weight\": 10296, \"source\": 3, \"target\": 8}, {\"weight\": 2271, \"source\": 4, \"target\": 7}, {\"weight\": 4044, \"source\": 4, \"target\": 5}, {\"weight\": 15102, \"source\": 4, \"target\": 6}, {\"weight\": 18446, \"source\": 4, \"target\": 8}, {\"weight\": 2389, \"source\": 5, \"target\": 7}, {\"weight\": 11131, \"source\": 5, \"target\": 6}, {\"weight\": 14575, \"source\": 5, \"target\": 8}, {\"weight\": 13390, \"source\": 6, \"target\": 7}, {\"weight\": 5275, \"source\": 6, \"target\": 8}, {\"weight\": 16791, \"source\": 7, \"target\": 8}]}",
"id": 467,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRG, YHY, DAC, KSY, BRM, TUL, KUH, GGT, LDU\n- Travel distances (in kilometers) between each pair of airports:\nTRG to GGT: 14901\nTRG to DAC: 11267\nTRG to YHY: 13160\nTRG to BRM: 14970\nTRG to TUL: 12724\nTRG to KUH: 9972\nTRG to LDU: 8831\nTRG to KSY: 17716\nYHY to GGT: 5444\nYHY to DAC: 13517\nYHY to BRM: 7158\nYHY to TUL: 3356\nYHY to KUH: 10030\nYHY to LDU: 13450\nYHY to KSY: 11108\nDAC to GGT: 15175\nDAC to BRM: 15863\nDAC to TUL: 14386\nDAC to KUH: 5516\nDAC to LDU: 3836\nDAC to KSY: 6512\nKSY to GGT: 10912\nKSY to BRM: 11182\nKSY to TUL: 10942\nKSY to KUH: 9854\nKSY to LDU: 10296\nBRM to GGT: 2271\nBRM to TUL: 4044\nBRM to KUH: 15102\nBRM to LDU: 18446\nTUL to GGT: 2389\nTUL to KUH: 11131\nTUL to LDU: 14575\nKUH to GGT: 13390\nKUH to LDU: 5275\nGGT to LDU: 16791\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CMA, MEH, KIH, SCE, RJA, CGO, CEB, OUL, CEI\n- Travel distances (in kilometers) between each pair of airports:\nCMA to CGO: 8768\nCMA to CEB: 6211\nCMA to RJA: 10556\nCMA to SCE: 15922\nCMA to OUL: 16009\nCMA to KIH: 12918\nCMA to CEI: 8704\nCMA to MEH: 17133\nMEH to CGO: 8575\nMEH to CEB: 11155\nMEH to RJA: 8326\nMEH to SCE: 7323\nMEH to OUL: 2182\nMEH to KIH: 6215\nMEH to CEI: 9425\nKIH to CGO: 6020\nKIH to CEB: 7670\nKIH to RJA: 3095\nKIH to SCE: 11298\nKIH to OUL: 5234\nKIH to CEI: 5575\nSCE to CGO: 11792\nSCE to CEB: 14033\nSCE to RJA: 13738\nSCE to OUL: 7381\nSCE to CEI: 13875\nRJA to CGO: 4530\nRJA to CEB: 5533\nRJA to OUL: 7337\nRJA to CEI: 3483\nCGO to CEB: 2905\nCGO to OUL: 7484\nCGO to CEI: 2136\nCEB to OUL: 10033\nCEB to CEI: 3451\nOUL to CEI: 8449\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48491,
"style": "rule"
}
|
{
"exact_answer": 48491,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CMA\", \"id\": 0}, {\"name\": \"MEH\", \"id\": 1}, {\"name\": \"KIH\", \"id\": 2}, {\"name\": \"SCE\", \"id\": 3}, {\"name\": \"RJA\", \"id\": 4}, {\"name\": \"CGO\", \"id\": 5}, {\"name\": \"CEB\", \"id\": 6}, {\"name\": \"OUL\", \"id\": 7}, {\"name\": \"CEI\", \"id\": 8}], \"links\": [{\"weight\": 8768, \"source\": 0, \"target\": 5}, {\"weight\": 6211, \"source\": 0, \"target\": 6}, {\"weight\": 10556, \"source\": 0, \"target\": 4}, {\"weight\": 15922, \"source\": 0, \"target\": 3}, {\"weight\": 16009, \"source\": 0, \"target\": 7}, {\"weight\": 12918, \"source\": 0, \"target\": 2}, {\"weight\": 8704, \"source\": 0, \"target\": 8}, {\"weight\": 17133, \"source\": 0, \"target\": 1}, {\"weight\": 8575, \"source\": 1, \"target\": 5}, {\"weight\": 11155, \"source\": 1, \"target\": 6}, {\"weight\": 8326, \"source\": 1, \"target\": 4}, {\"weight\": 7323, \"source\": 1, \"target\": 3}, {\"weight\": 2182, \"source\": 1, \"target\": 7}, {\"weight\": 6215, \"source\": 1, \"target\": 2}, {\"weight\": 9425, \"source\": 1, \"target\": 8}, {\"weight\": 6020, \"source\": 2, \"target\": 5}, {\"weight\": 7670, \"source\": 2, \"target\": 6}, {\"weight\": 3095, \"source\": 2, \"target\": 4}, {\"weight\": 11298, \"source\": 2, \"target\": 3}, {\"weight\": 5234, \"source\": 2, \"target\": 7}, {\"weight\": 5575, \"source\": 2, \"target\": 8}, {\"weight\": 11792, \"source\": 3, \"target\": 5}, {\"weight\": 14033, \"source\": 3, \"target\": 6}, {\"weight\": 13738, \"source\": 3, \"target\": 4}, {\"weight\": 7381, \"source\": 3, \"target\": 7}, {\"weight\": 13875, \"source\": 3, \"target\": 8}, {\"weight\": 4530, \"source\": 4, \"target\": 5}, {\"weight\": 5533, \"source\": 4, \"target\": 6}, {\"weight\": 7337, \"source\": 4, \"target\": 7}, {\"weight\": 3483, \"source\": 4, \"target\": 8}, {\"weight\": 2905, \"source\": 5, \"target\": 6}, {\"weight\": 7484, \"source\": 5, \"target\": 7}, {\"weight\": 2136, \"source\": 5, \"target\": 8}, {\"weight\": 10033, \"source\": 6, \"target\": 7}, {\"weight\": 3451, \"source\": 6, \"target\": 8}, {\"weight\": 8449, \"source\": 7, \"target\": 8}]}",
"id": 468,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CMA, MEH, KIH, SCE, RJA, CGO, CEB, OUL, CEI\n- Travel distances (in kilometers) between each pair of airports:\nCMA to CGO: 8768\nCMA to CEB: 6211\nCMA to RJA: 10556\nCMA to SCE: 15922\nCMA to OUL: 16009\nCMA to KIH: 12918\nCMA to CEI: 8704\nCMA to MEH: 17133\nMEH to CGO: 8575\nMEH to CEB: 11155\nMEH to RJA: 8326\nMEH to SCE: 7323\nMEH to OUL: 2182\nMEH to KIH: 6215\nMEH to CEI: 9425\nKIH to CGO: 6020\nKIH to CEB: 7670\nKIH to RJA: 3095\nKIH to SCE: 11298\nKIH to OUL: 5234\nKIH to CEI: 5575\nSCE to CGO: 11792\nSCE to CEB: 14033\nSCE to RJA: 13738\nSCE to OUL: 7381\nSCE to CEI: 13875\nRJA to CGO: 4530\nRJA to CEB: 5533\nRJA to OUL: 7337\nRJA to CEI: 3483\nCGO to CEB: 2905\nCGO to OUL: 7484\nCGO to CEI: 2136\nCEB to OUL: 10033\nCEB to CEI: 3451\nOUL to CEI: 8449\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: REU, GLK, TKE, CMU, BRC, PPG, POI, BHM, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nREU to BRC: 11960\nREU to POI: 10659\nREU to BHM: 7917\nREU to PPG: 17273\nREU to TKE: 10338\nREU to GLK: 6816\nREU to CMU: 15908\nREU to BJZ: 1096\nGLK to BRC: 13731\nGLK to POI: 13577\nGLK to BHM: 14049\nGLK to PPG: 21162\nGLK to TKE: 16266\nGLK to CMU: 13634\nGLK to BJZ: 7282\nTKE to BRC: 13071\nTKE to POI: 11005\nTKE to BHM: 4918\nTKE to PPG: 9665\nTKE to CMU: 14411\nTKE to BJZ: 10705\nCMU to BRC: 15633\nCMU to POI: 16838\nCMU to BHM: 15675\nCMU to PPG: 13150\nCMU to BJZ: 16351\nBRC to POI: 3493\nBRC to BHM: 8819\nBRC to PPG: 17762\nBRC to BJZ: 11722\nPPG to POI: 16485\nPPG to BHM: 11240\nPPG to BJZ: 17645\nPOI to BHM: 6372\nPOI to BJZ: 10221\nBHM to BJZ: 7479\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 70866,
"style": "rule"
}
|
{
"exact_answer": 70866,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"REU\", \"id\": 0}, {\"name\": \"GLK\", \"id\": 1}, {\"name\": \"TKE\", \"id\": 2}, {\"name\": \"CMU\", \"id\": 3}, {\"name\": \"BRC\", \"id\": 4}, {\"name\": \"PPG\", \"id\": 5}, {\"name\": \"POI\", \"id\": 6}, {\"name\": \"BHM\", \"id\": 7}, {\"name\": \"BJZ\", \"id\": 8}], \"links\": [{\"weight\": 11960, \"source\": 0, \"target\": 4}, {\"weight\": 10659, \"source\": 0, \"target\": 6}, {\"weight\": 7917, \"source\": 0, \"target\": 7}, {\"weight\": 17273, \"source\": 0, \"target\": 5}, {\"weight\": 10338, \"source\": 0, \"target\": 2}, {\"weight\": 6816, \"source\": 0, \"target\": 1}, {\"weight\": 15908, \"source\": 0, \"target\": 3}, {\"weight\": 1096, \"source\": 0, \"target\": 8}, {\"weight\": 13731, \"source\": 1, \"target\": 4}, {\"weight\": 13577, \"source\": 1, \"target\": 6}, {\"weight\": 14049, \"source\": 1, \"target\": 7}, {\"weight\": 21162, \"source\": 1, \"target\": 5}, {\"weight\": 16266, \"source\": 1, \"target\": 2}, {\"weight\": 13634, \"source\": 1, \"target\": 3}, {\"weight\": 7282, \"source\": 1, \"target\": 8}, {\"weight\": 13071, \"source\": 2, \"target\": 4}, {\"weight\": 11005, \"source\": 2, \"target\": 6}, {\"weight\": 4918, \"source\": 2, \"target\": 7}, {\"weight\": 9665, \"source\": 2, \"target\": 5}, {\"weight\": 14411, \"source\": 2, \"target\": 3}, {\"weight\": 10705, \"source\": 2, \"target\": 8}, {\"weight\": 15633, \"source\": 3, \"target\": 4}, {\"weight\": 16838, \"source\": 3, \"target\": 6}, {\"weight\": 15675, \"source\": 3, \"target\": 7}, {\"weight\": 13150, \"source\": 3, \"target\": 5}, {\"weight\": 16351, \"source\": 3, \"target\": 8}, {\"weight\": 3493, \"source\": 4, \"target\": 6}, {\"weight\": 8819, \"source\": 4, \"target\": 7}, {\"weight\": 17762, \"source\": 4, \"target\": 5}, {\"weight\": 11722, \"source\": 4, \"target\": 8}, {\"weight\": 16485, \"source\": 5, \"target\": 6}, {\"weight\": 11240, \"source\": 5, \"target\": 7}, {\"weight\": 17645, \"source\": 5, \"target\": 8}, {\"weight\": 6372, \"source\": 6, \"target\": 7}, {\"weight\": 10221, \"source\": 6, \"target\": 8}, {\"weight\": 7479, \"source\": 7, \"target\": 8}]}",
"id": 469,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: REU, GLK, TKE, CMU, BRC, PPG, POI, BHM, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nREU to BRC: 11960\nREU to POI: 10659\nREU to BHM: 7917\nREU to PPG: 17273\nREU to TKE: 10338\nREU to GLK: 6816\nREU to CMU: 15908\nREU to BJZ: 1096\nGLK to BRC: 13731\nGLK to POI: 13577\nGLK to BHM: 14049\nGLK to PPG: 21162\nGLK to TKE: 16266\nGLK to CMU: 13634\nGLK to BJZ: 7282\nTKE to BRC: 13071\nTKE to POI: 11005\nTKE to BHM: 4918\nTKE to PPG: 9665\nTKE to CMU: 14411\nTKE to BJZ: 10705\nCMU to BRC: 15633\nCMU to POI: 16838\nCMU to BHM: 15675\nCMU to PPG: 13150\nCMU to BJZ: 16351\nBRC to POI: 3493\nBRC to BHM: 8819\nBRC to PPG: 17762\nBRC to BJZ: 11722\nPPG to POI: 16485\nPPG to BHM: 11240\nPPG to BJZ: 17645\nPOI to BHM: 6372\nPOI to BJZ: 10221\nBHM to BJZ: 7479\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HYL, TUO, CBQ, HTI, YHU, MRD, PEU, LOH, JUK\n- Travel distances (in kilometers) between each pair of airports:\nHYL to MRD: 8233\nHYL to PEU: 6336\nHYL to LOH: 8334\nHYL to JUK: 9166\nHYL to HTI: 13899\nHYL to TUO: 12770\nHYL to YHU: 5324\nHYL to CBQ: 14065\nTUO to MRD: 15292\nTUO to PEU: 14850\nTUO to LOH: 13686\nTUO to JUK: 19516\nTUO to HTI: 3406\nTUO to YHU: 15123\nTUO to CBQ: 18428\nCBQ to MRD: 10375\nCBQ to PEU: 12321\nCBQ to LOH: 11708\nCBQ to JUK: 9334\nCBQ to HTI: 17038\nCBQ to YHU: 9746\nHTI to MRD: 18252\nHTI to PEU: 16562\nHTI to LOH: 16646\nHTI to JUK: 18536\nHTI to YHU: 16801\nYHU to MRD: 4767\nYHU to PEU: 4314\nYHU to LOH: 5937\nYHU to JUK: 6927\nMRD to PEU: 3286\nMRD to LOH: 2695\nMRD to JUK: 10141\nPEU to LOH: 2822\nPEU to JUK: 9746\nLOH to JUK: 11329\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66095,
"style": "rule"
}
|
{
"exact_answer": 66095,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HYL\", \"id\": 0}, {\"name\": \"TUO\", \"id\": 1}, {\"name\": \"CBQ\", \"id\": 2}, {\"name\": \"HTI\", \"id\": 3}, {\"name\": \"YHU\", \"id\": 4}, {\"name\": \"MRD\", \"id\": 5}, {\"name\": \"PEU\", \"id\": 6}, {\"name\": \"LOH\", \"id\": 7}, {\"name\": \"JUK\", \"id\": 8}], \"links\": [{\"weight\": 8233, \"source\": 0, \"target\": 5}, {\"weight\": 6336, \"source\": 0, \"target\": 6}, {\"weight\": 8334, \"source\": 0, \"target\": 7}, {\"weight\": 9166, \"source\": 0, \"target\": 8}, {\"weight\": 13899, \"source\": 0, \"target\": 3}, {\"weight\": 12770, \"source\": 0, \"target\": 1}, {\"weight\": 5324, \"source\": 0, \"target\": 4}, {\"weight\": 14065, \"source\": 0, \"target\": 2}, {\"weight\": 15292, \"source\": 1, \"target\": 5}, {\"weight\": 14850, \"source\": 1, \"target\": 6}, {\"weight\": 13686, \"source\": 1, \"target\": 7}, {\"weight\": 19516, \"source\": 1, \"target\": 8}, {\"weight\": 3406, \"source\": 1, \"target\": 3}, {\"weight\": 15123, \"source\": 1, \"target\": 4}, {\"weight\": 18428, \"source\": 1, \"target\": 2}, {\"weight\": 10375, \"source\": 2, \"target\": 5}, {\"weight\": 12321, \"source\": 2, \"target\": 6}, {\"weight\": 11708, \"source\": 2, \"target\": 7}, {\"weight\": 9334, \"source\": 2, \"target\": 8}, {\"weight\": 17038, \"source\": 2, \"target\": 3}, {\"weight\": 9746, \"source\": 2, \"target\": 4}, {\"weight\": 18252, \"source\": 3, \"target\": 5}, {\"weight\": 16562, \"source\": 3, \"target\": 6}, {\"weight\": 16646, \"source\": 3, \"target\": 7}, {\"weight\": 18536, \"source\": 3, \"target\": 8}, {\"weight\": 16801, \"source\": 3, \"target\": 4}, {\"weight\": 4767, \"source\": 4, \"target\": 5}, {\"weight\": 4314, \"source\": 4, \"target\": 6}, {\"weight\": 5937, \"source\": 4, \"target\": 7}, {\"weight\": 6927, \"source\": 4, \"target\": 8}, {\"weight\": 3286, \"source\": 5, \"target\": 6}, {\"weight\": 2695, \"source\": 5, \"target\": 7}, {\"weight\": 10141, \"source\": 5, \"target\": 8}, {\"weight\": 2822, \"source\": 6, \"target\": 7}, {\"weight\": 9746, \"source\": 6, \"target\": 8}, {\"weight\": 11329, \"source\": 7, \"target\": 8}]}",
"id": 470,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HYL, TUO, CBQ, HTI, YHU, MRD, PEU, LOH, JUK\n- Travel distances (in kilometers) between each pair of airports:\nHYL to MRD: 8233\nHYL to PEU: 6336\nHYL to LOH: 8334\nHYL to JUK: 9166\nHYL to HTI: 13899\nHYL to TUO: 12770\nHYL to YHU: 5324\nHYL to CBQ: 14065\nTUO to MRD: 15292\nTUO to PEU: 14850\nTUO to LOH: 13686\nTUO to JUK: 19516\nTUO to HTI: 3406\nTUO to YHU: 15123\nTUO to CBQ: 18428\nCBQ to MRD: 10375\nCBQ to PEU: 12321\nCBQ to LOH: 11708\nCBQ to JUK: 9334\nCBQ to HTI: 17038\nCBQ to YHU: 9746\nHTI to MRD: 18252\nHTI to PEU: 16562\nHTI to LOH: 16646\nHTI to JUK: 18536\nHTI to YHU: 16801\nYHU to MRD: 4767\nYHU to PEU: 4314\nYHU to LOH: 5937\nYHU to JUK: 6927\nMRD to PEU: 3286\nMRD to LOH: 2695\nMRD to JUK: 10141\nPEU to LOH: 2822\nPEU to JUK: 9746\nLOH to JUK: 11329\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AQJ, BOH, PNI, IBA, JPA, BVB, BGM, CIH, LZY\n- Travel distances (in kilometers) between each pair of airports:\nAQJ to LZY: 5921\nAQJ to BGM: 9842\nAQJ to BVB: 12636\nAQJ to JPA: 10133\nAQJ to CIH: 7348\nAQJ to BOH: 4093\nAQJ to PNI: 13071\nAQJ to IBA: 4563\nBOH to LZY: 8983\nBOH to BGM: 5938\nBOH to BVB: 10158\nBOH to JPA: 7655\nBOH to CIH: 9259\nBOH to PNI: 14418\nBOH to IBA: 5351\nPNI to LZY: 7234\nPNI to BGM: 12961\nPNI to BVB: 17293\nPNI to JPA: 19189\nPNI to CIH: 6057\nPNI to IBA: 16840\nIBA to LZY: 9691\nIBA to BGM: 9776\nIBA to BVB: 9664\nIBA to JPA: 7161\nIBA to CIH: 11344\nJPA to LZY: 15320\nJPA to BGM: 7343\nJPA to BVB: 3589\nJPA to CIH: 16153\nBVB to LZY: 17823\nBVB to BGM: 6223\nBVB to CIH: 17427\nBGM to LZY: 13735\nBGM to CIH: 11776\nCIH to LZY: 1983\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53339,
"style": "rule"
}
|
{
"exact_answer": 53339,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AQJ\", \"id\": 0}, {\"name\": \"BOH\", \"id\": 1}, {\"name\": \"PNI\", \"id\": 2}, {\"name\": \"IBA\", \"id\": 3}, {\"name\": \"JPA\", \"id\": 4}, {\"name\": \"BVB\", \"id\": 5}, {\"name\": \"BGM\", \"id\": 6}, {\"name\": \"CIH\", \"id\": 7}, {\"name\": \"LZY\", \"id\": 8}], \"links\": [{\"weight\": 5921, \"source\": 0, \"target\": 8}, {\"weight\": 9842, \"source\": 0, \"target\": 6}, {\"weight\": 12636, \"source\": 0, \"target\": 5}, {\"weight\": 10133, \"source\": 0, \"target\": 4}, {\"weight\": 7348, \"source\": 0, \"target\": 7}, {\"weight\": 4093, \"source\": 0, \"target\": 1}, {\"weight\": 13071, \"source\": 0, \"target\": 2}, {\"weight\": 4563, \"source\": 0, \"target\": 3}, {\"weight\": 8983, \"source\": 1, \"target\": 8}, {\"weight\": 5938, \"source\": 1, \"target\": 6}, {\"weight\": 10158, \"source\": 1, \"target\": 5}, {\"weight\": 7655, \"source\": 1, \"target\": 4}, {\"weight\": 9259, \"source\": 1, \"target\": 7}, {\"weight\": 14418, \"source\": 1, \"target\": 2}, {\"weight\": 5351, \"source\": 1, \"target\": 3}, {\"weight\": 7234, \"source\": 2, \"target\": 8}, {\"weight\": 12961, \"source\": 2, \"target\": 6}, {\"weight\": 17293, \"source\": 2, \"target\": 5}, {\"weight\": 19189, \"source\": 2, \"target\": 4}, {\"weight\": 6057, \"source\": 2, \"target\": 7}, {\"weight\": 16840, \"source\": 2, \"target\": 3}, {\"weight\": 9691, \"source\": 3, \"target\": 8}, {\"weight\": 9776, \"source\": 3, \"target\": 6}, {\"weight\": 9664, \"source\": 3, \"target\": 5}, {\"weight\": 7161, \"source\": 3, \"target\": 4}, {\"weight\": 11344, \"source\": 3, \"target\": 7}, {\"weight\": 15320, \"source\": 4, \"target\": 8}, {\"weight\": 7343, \"source\": 4, \"target\": 6}, {\"weight\": 3589, \"source\": 4, \"target\": 5}, {\"weight\": 16153, \"source\": 4, \"target\": 7}, {\"weight\": 17823, \"source\": 5, \"target\": 8}, {\"weight\": 6223, \"source\": 5, \"target\": 6}, {\"weight\": 17427, \"source\": 5, \"target\": 7}, {\"weight\": 13735, \"source\": 6, \"target\": 8}, {\"weight\": 11776, \"source\": 6, \"target\": 7}, {\"weight\": 1983, \"source\": 7, \"target\": 8}]}",
"id": 471,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AQJ, BOH, PNI, IBA, JPA, BVB, BGM, CIH, LZY\n- Travel distances (in kilometers) between each pair of airports:\nAQJ to LZY: 5921\nAQJ to BGM: 9842\nAQJ to BVB: 12636\nAQJ to JPA: 10133\nAQJ to CIH: 7348\nAQJ to BOH: 4093\nAQJ to PNI: 13071\nAQJ to IBA: 4563\nBOH to LZY: 8983\nBOH to BGM: 5938\nBOH to BVB: 10158\nBOH to JPA: 7655\nBOH to CIH: 9259\nBOH to PNI: 14418\nBOH to IBA: 5351\nPNI to LZY: 7234\nPNI to BGM: 12961\nPNI to BVB: 17293\nPNI to JPA: 19189\nPNI to CIH: 6057\nPNI to IBA: 16840\nIBA to LZY: 9691\nIBA to BGM: 9776\nIBA to BVB: 9664\nIBA to JPA: 7161\nIBA to CIH: 11344\nJPA to LZY: 15320\nJPA to BGM: 7343\nJPA to BVB: 3589\nJPA to CIH: 16153\nBVB to LZY: 17823\nBVB to BGM: 6223\nBVB to CIH: 17427\nBGM to LZY: 13735\nBGM to CIH: 11776\nCIH to LZY: 1983\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LZY, YTY, MJU, KGS, THL, PKE, HLZ, TCQ, MYY\n- Travel distances (in kilometers) between each pair of airports:\nLZY to YTY: 2433\nLZY to KGS: 6932\nLZY to THL: 2770\nLZY to MYY: 4399\nLZY to MJU: 5758\nLZY to TCQ: 18981\nLZY to HLZ: 11552\nLZY to PKE: 9955\nYTY to KGS: 8644\nYTY to THL: 3066\nYTY to MYY: 3407\nYTY to MJU: 4766\nYTY to TCQ: 18492\nYTY to HLZ: 10384\nYTY to PKE: 8608\nMJU to KGS: 11314\nMJU to THL: 4638\nMJU to MYY: 1939\nMJU to TCQ: 19390\nMJU to HLZ: 7795\nMJU to PKE: 5816\nKGS to THL: 8111\nKGS to MYY: 10166\nKGS to TCQ: 12745\nKGS to HLZ: 17638\nKGS to PKE: 15659\nTHL to MYY: 3202\nTHL to TCQ: 20061\nTHL to HLZ: 10836\nTHL to PKE: 8975\nPKE to MYY: 6796\nPKE to TCQ: 14146\nPKE to HLZ: 2551\nHLZ to MYY: 8596\nHLZ to TCQ: 12279\nTCQ to MYY: 20241\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50963,
"style": "rule"
}
|
{
"exact_answer": 50963,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LZY\", \"id\": 0}, {\"name\": \"YTY\", \"id\": 1}, {\"name\": \"MJU\", \"id\": 2}, {\"name\": \"KGS\", \"id\": 3}, {\"name\": \"THL\", \"id\": 4}, {\"name\": \"PKE\", \"id\": 5}, {\"name\": \"HLZ\", \"id\": 6}, {\"name\": \"TCQ\", \"id\": 7}, {\"name\": \"MYY\", \"id\": 8}], \"links\": [{\"weight\": 2433, \"source\": 0, \"target\": 1}, {\"weight\": 6932, \"source\": 0, \"target\": 3}, {\"weight\": 2770, \"source\": 0, \"target\": 4}, {\"weight\": 4399, \"source\": 0, \"target\": 8}, {\"weight\": 5758, \"source\": 0, \"target\": 2}, {\"weight\": 18981, \"source\": 0, \"target\": 7}, {\"weight\": 11552, \"source\": 0, \"target\": 6}, {\"weight\": 9955, \"source\": 0, \"target\": 5}, {\"weight\": 8644, \"source\": 1, \"target\": 3}, {\"weight\": 3066, \"source\": 1, \"target\": 4}, {\"weight\": 3407, \"source\": 1, \"target\": 8}, {\"weight\": 4766, \"source\": 1, \"target\": 2}, {\"weight\": 18492, \"source\": 1, \"target\": 7}, {\"weight\": 10384, \"source\": 1, \"target\": 6}, {\"weight\": 8608, \"source\": 1, \"target\": 5}, {\"weight\": 11314, \"source\": 2, \"target\": 3}, {\"weight\": 4638, \"source\": 2, \"target\": 4}, {\"weight\": 1939, \"source\": 2, \"target\": 8}, {\"weight\": 19390, \"source\": 2, \"target\": 7}, {\"weight\": 7795, \"source\": 2, \"target\": 6}, {\"weight\": 5816, \"source\": 2, \"target\": 5}, {\"weight\": 8111, \"source\": 3, \"target\": 4}, {\"weight\": 10166, \"source\": 3, \"target\": 8}, {\"weight\": 12745, \"source\": 3, \"target\": 7}, {\"weight\": 17638, \"source\": 3, \"target\": 6}, {\"weight\": 15659, \"source\": 3, \"target\": 5}, {\"weight\": 3202, \"source\": 4, \"target\": 8}, {\"weight\": 20061, \"source\": 4, \"target\": 7}, {\"weight\": 10836, \"source\": 4, \"target\": 6}, {\"weight\": 8975, \"source\": 4, \"target\": 5}, {\"weight\": 6796, \"source\": 5, \"target\": 8}, {\"weight\": 14146, \"source\": 5, \"target\": 7}, {\"weight\": 2551, \"source\": 5, \"target\": 6}, {\"weight\": 8596, \"source\": 6, \"target\": 8}, {\"weight\": 12279, \"source\": 6, \"target\": 7}, {\"weight\": 20241, \"source\": 7, \"target\": 8}]}",
"id": 472,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LZY, YTY, MJU, KGS, THL, PKE, HLZ, TCQ, MYY\n- Travel distances (in kilometers) between each pair of airports:\nLZY to YTY: 2433\nLZY to KGS: 6932\nLZY to THL: 2770\nLZY to MYY: 4399\nLZY to MJU: 5758\nLZY to TCQ: 18981\nLZY to HLZ: 11552\nLZY to PKE: 9955\nYTY to KGS: 8644\nYTY to THL: 3066\nYTY to MYY: 3407\nYTY to MJU: 4766\nYTY to TCQ: 18492\nYTY to HLZ: 10384\nYTY to PKE: 8608\nMJU to KGS: 11314\nMJU to THL: 4638\nMJU to MYY: 1939\nMJU to TCQ: 19390\nMJU to HLZ: 7795\nMJU to PKE: 5816\nKGS to THL: 8111\nKGS to MYY: 10166\nKGS to TCQ: 12745\nKGS to HLZ: 17638\nKGS to PKE: 15659\nTHL to MYY: 3202\nTHL to TCQ: 20061\nTHL to HLZ: 10836\nTHL to PKE: 8975\nPKE to MYY: 6796\nPKE to TCQ: 14146\nPKE to HLZ: 2551\nHLZ to MYY: 8596\nHLZ to TCQ: 12279\nTCQ to MYY: 20241\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HTN, BLQ, MSA, ELI, CLO, OVD, YQL, SLY\n- Travel distances (in kilometers) between each pair of airports:\nBRQ to CLO: 10467\nBRQ to BLQ: 2354\nBRQ to ELI: 12031\nBRQ to YQL: 8399\nBRQ to HTN: 8378\nBRQ to OVD: 2235\nBRQ to SLY: 5644\nBRQ to MSA: 8479\nHTN to CLO: 15913\nHTN to BLQ: 6955\nHTN to ELI: 15243\nHTN to YQL: 12792\nHTN to OVD: 8073\nHTN to SLY: 3823\nHTN to MSA: 13742\nBLQ to CLO: 9568\nBLQ to ELI: 11965\nBLQ to YQL: 8342\nBLQ to OVD: 1542\nBLQ to SLY: 4189\nBLQ to MSA: 8400\nMSA to CLO: 6048\nMSA to ELI: 5811\nMSA to YQL: 2136\nMSA to OVD: 8030\nMSA to SLY: 11055\nELI to CLO: 9614\nELI to YQL: 4047\nELI to OVD: 11868\nELI to SLY: 14282\nCLO to YQL: 6528\nCLO to OVD: 8701\nCLO to SLY: 13194\nOVD to YQL: 8236\nOVD to SLY: 5328\nYQL to SLY: 10687\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48776,
"style": "rule"
}
|
{
"exact_answer": 48776,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BRQ\", \"id\": 0}, {\"name\": \"HTN\", \"id\": 1}, {\"name\": \"BLQ\", \"id\": 2}, {\"name\": \"MSA\", \"id\": 3}, {\"name\": \"ELI\", \"id\": 4}, {\"name\": \"CLO\", \"id\": 5}, {\"name\": \"OVD\", \"id\": 6}, {\"name\": \"YQL\", \"id\": 7}, {\"name\": \"SLY\", \"id\": 8}], \"links\": [{\"weight\": 10467, \"source\": 0, \"target\": 5}, {\"weight\": 2354, \"source\": 0, \"target\": 2}, {\"weight\": 12031, \"source\": 0, \"target\": 4}, {\"weight\": 8399, \"source\": 0, \"target\": 7}, {\"weight\": 8378, \"source\": 0, \"target\": 1}, {\"weight\": 2235, \"source\": 0, \"target\": 6}, {\"weight\": 5644, \"source\": 0, \"target\": 8}, {\"weight\": 8479, \"source\": 0, \"target\": 3}, {\"weight\": 15913, \"source\": 1, \"target\": 5}, {\"weight\": 6955, \"source\": 1, \"target\": 2}, {\"weight\": 15243, \"source\": 1, \"target\": 4}, {\"weight\": 12792, \"source\": 1, \"target\": 7}, {\"weight\": 8073, \"source\": 1, \"target\": 6}, {\"weight\": 3823, \"source\": 1, \"target\": 8}, {\"weight\": 13742, \"source\": 1, \"target\": 3}, {\"weight\": 9568, \"source\": 2, \"target\": 5}, {\"weight\": 11965, \"source\": 2, \"target\": 4}, {\"weight\": 8342, \"source\": 2, \"target\": 7}, {\"weight\": 1542, \"source\": 2, \"target\": 6}, {\"weight\": 4189, \"source\": 2, \"target\": 8}, {\"weight\": 8400, \"source\": 2, \"target\": 3}, {\"weight\": 6048, \"source\": 3, \"target\": 5}, {\"weight\": 5811, \"source\": 3, \"target\": 4}, {\"weight\": 2136, \"source\": 3, \"target\": 7}, {\"weight\": 8030, \"source\": 3, \"target\": 6}, {\"weight\": 11055, \"source\": 3, \"target\": 8}, {\"weight\": 9614, \"source\": 4, \"target\": 5}, {\"weight\": 4047, \"source\": 4, \"target\": 7}, {\"weight\": 11868, \"source\": 4, \"target\": 6}, {\"weight\": 14282, \"source\": 4, \"target\": 8}, {\"weight\": 6528, \"source\": 5, \"target\": 7}, {\"weight\": 8701, \"source\": 5, \"target\": 6}, {\"weight\": 13194, \"source\": 5, \"target\": 8}, {\"weight\": 8236, \"source\": 6, \"target\": 7}, {\"weight\": 5328, \"source\": 6, \"target\": 8}, {\"weight\": 10687, \"source\": 7, \"target\": 8}]}",
"id": 473,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HTN, BLQ, MSA, ELI, CLO, OVD, YQL, SLY\n- Travel distances (in kilometers) between each pair of airports:\nBRQ to CLO: 10467\nBRQ to BLQ: 2354\nBRQ to ELI: 12031\nBRQ to YQL: 8399\nBRQ to HTN: 8378\nBRQ to OVD: 2235\nBRQ to SLY: 5644\nBRQ to MSA: 8479\nHTN to CLO: 15913\nHTN to BLQ: 6955\nHTN to ELI: 15243\nHTN to YQL: 12792\nHTN to OVD: 8073\nHTN to SLY: 3823\nHTN to MSA: 13742\nBLQ to CLO: 9568\nBLQ to ELI: 11965\nBLQ to YQL: 8342\nBLQ to OVD: 1542\nBLQ to SLY: 4189\nBLQ to MSA: 8400\nMSA to CLO: 6048\nMSA to ELI: 5811\nMSA to YQL: 2136\nMSA to OVD: 8030\nMSA to SLY: 11055\nELI to CLO: 9614\nELI to YQL: 4047\nELI to OVD: 11868\nELI to SLY: 14282\nCLO to YQL: 6528\nCLO to OVD: 8701\nCLO to SLY: 13194\nOVD to YQL: 8236\nOVD to SLY: 5328\nYQL to SLY: 10687\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKG, ABB, YXE, LWN, GCH, JNU, DOY, VLI, YAM\n- Travel distances (in kilometers) between each pair of airports:\nLKG to JNU: 17109\nLKG to YXE: 15246\nLKG to YAM: 14150\nLKG to GCH: 5777\nLKG to VLI: 15322\nLKG to DOY: 10433\nLKG to LWN: 9076\nLKG to ABB: 5197\nABB to JNU: 14168\nABB to YXE: 11619\nABB to YAM: 9904\nABB to GCH: 6556\nABB to VLI: 18383\nABB to DOY: 11617\nABB to LWN: 7872\nYXE to JNU: 2703\nYXE to YAM: 1724\nYXE to GCH: 12165\nYXE to VLI: 11622\nYXE to DOY: 10029\nYXE to LWN: 10468\nLWN to JNU: 12339\nLWN to YAM: 9732\nLWN to GCH: 5113\nLWN to VLI: 16547\nLWN to DOY: 7805\nGCH to JNU: 14036\nGCH to YAM: 11335\nGCH to VLI: 14708\nGCH to DOY: 6625\nJNU to YAM: 4394\nJNU to VLI: 11461\nJNU to DOY: 10472\nDOY to YAM: 11388\nDOY to VLI: 9234\nVLI to YAM: 13306\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58918,
"style": "rule"
}
|
{
"exact_answer": 58918,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKG\", \"id\": 0}, {\"name\": \"ABB\", \"id\": 1}, {\"name\": \"YXE\", \"id\": 2}, {\"name\": \"LWN\", \"id\": 3}, {\"name\": \"GCH\", \"id\": 4}, {\"name\": \"JNU\", \"id\": 5}, {\"name\": \"DOY\", \"id\": 6}, {\"name\": \"VLI\", \"id\": 7}, {\"name\": \"YAM\", \"id\": 8}], \"links\": [{\"weight\": 17109, \"source\": 0, \"target\": 5}, {\"weight\": 15246, \"source\": 0, \"target\": 2}, {\"weight\": 14150, \"source\": 0, \"target\": 8}, {\"weight\": 5777, \"source\": 0, \"target\": 4}, {\"weight\": 15322, \"source\": 0, \"target\": 7}, {\"weight\": 10433, \"source\": 0, \"target\": 6}, {\"weight\": 9076, \"source\": 0, \"target\": 3}, {\"weight\": 5197, \"source\": 0, \"target\": 1}, {\"weight\": 14168, \"source\": 1, \"target\": 5}, {\"weight\": 11619, \"source\": 1, \"target\": 2}, {\"weight\": 9904, \"source\": 1, \"target\": 8}, {\"weight\": 6556, \"source\": 1, \"target\": 4}, {\"weight\": 18383, \"source\": 1, \"target\": 7}, {\"weight\": 11617, \"source\": 1, \"target\": 6}, {\"weight\": 7872, \"source\": 1, \"target\": 3}, {\"weight\": 2703, \"source\": 2, \"target\": 5}, {\"weight\": 1724, \"source\": 2, \"target\": 8}, {\"weight\": 12165, \"source\": 2, \"target\": 4}, {\"weight\": 11622, \"source\": 2, \"target\": 7}, {\"weight\": 10029, \"source\": 2, \"target\": 6}, {\"weight\": 10468, \"source\": 2, \"target\": 3}, {\"weight\": 12339, \"source\": 3, \"target\": 5}, {\"weight\": 9732, \"source\": 3, \"target\": 8}, {\"weight\": 5113, \"source\": 3, \"target\": 4}, {\"weight\": 16547, \"source\": 3, \"target\": 7}, {\"weight\": 7805, \"source\": 3, \"target\": 6}, {\"weight\": 14036, \"source\": 4, \"target\": 5}, {\"weight\": 11335, \"source\": 4, \"target\": 8}, {\"weight\": 14708, \"source\": 4, \"target\": 7}, {\"weight\": 6625, \"source\": 4, \"target\": 6}, {\"weight\": 4394, \"source\": 5, \"target\": 8}, {\"weight\": 11461, \"source\": 5, \"target\": 7}, {\"weight\": 10472, \"source\": 5, \"target\": 6}, {\"weight\": 11388, \"source\": 6, \"target\": 8}, {\"weight\": 9234, \"source\": 6, \"target\": 7}, {\"weight\": 13306, \"source\": 7, \"target\": 8}]}",
"id": 474,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKG, ABB, YXE, LWN, GCH, JNU, DOY, VLI, YAM\n- Travel distances (in kilometers) between each pair of airports:\nLKG to JNU: 17109\nLKG to YXE: 15246\nLKG to YAM: 14150\nLKG to GCH: 5777\nLKG to VLI: 15322\nLKG to DOY: 10433\nLKG to LWN: 9076\nLKG to ABB: 5197\nABB to JNU: 14168\nABB to YXE: 11619\nABB to YAM: 9904\nABB to GCH: 6556\nABB to VLI: 18383\nABB to DOY: 11617\nABB to LWN: 7872\nYXE to JNU: 2703\nYXE to YAM: 1724\nYXE to GCH: 12165\nYXE to VLI: 11622\nYXE to DOY: 10029\nYXE to LWN: 10468\nLWN to JNU: 12339\nLWN to YAM: 9732\nLWN to GCH: 5113\nLWN to VLI: 16547\nLWN to DOY: 7805\nGCH to JNU: 14036\nGCH to YAM: 11335\nGCH to VLI: 14708\nGCH to DOY: 6625\nJNU to YAM: 4394\nJNU to VLI: 11461\nJNU to DOY: 10472\nDOY to YAM: 11388\nDOY to VLI: 9234\nVLI to YAM: 13306\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLK, AGS, BEY, YYH, KMS, JAU, BRS, PQQ, LAP\n- Travel distances (in kilometers) between each pair of airports:\nSLK to BRS: 5436\nSLK to LAP: 4621\nSLK to KMS: 8784\nSLK to YYH: 5156\nSLK to AGS: 1738\nSLK to BEY: 9063\nSLK to PQQ: 16517\nSLK to JAU: 6668\nAGS to BRS: 6490\nAGS to LAP: 3026\nAGS to KMS: 9493\nAGS to YYH: 5669\nAGS to BEY: 10116\nAGS to PQQ: 15219\nAGS to JAU: 5544\nBEY to BRS: 3635\nBEY to LAP: 12931\nBEY to KMS: 5029\nBEY to YYH: 12292\nBEY to PQQ: 14503\nBEY to JAU: 13216\nYYH to BRS: 8975\nYYH to LAP: 5840\nYYH to KMS: 13256\nYYH to PQQ: 15402\nYYH to JAU: 10456\nKMS to BRS: 5305\nKMS to LAP: 12373\nKMS to PQQ: 16215\nKMS to JAU: 10134\nJAU to BRS: 10912\nJAU to LAP: 5697\nJAU to PQQ: 14299\nBRS to LAP: 9353\nBRS to PQQ: 17177\nPQQ to LAP: 13764\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63516,
"style": "rule"
}
|
{
"exact_answer": 63516,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLK\", \"id\": 0}, {\"name\": \"AGS\", \"id\": 1}, {\"name\": \"BEY\", \"id\": 2}, {\"name\": \"YYH\", \"id\": 3}, {\"name\": \"KMS\", \"id\": 4}, {\"name\": \"JAU\", \"id\": 5}, {\"name\": \"BRS\", \"id\": 6}, {\"name\": \"PQQ\", \"id\": 7}, {\"name\": \"LAP\", \"id\": 8}], \"links\": [{\"weight\": 5436, \"source\": 0, \"target\": 6}, {\"weight\": 4621, \"source\": 0, \"target\": 8}, {\"weight\": 8784, \"source\": 0, \"target\": 4}, {\"weight\": 5156, \"source\": 0, \"target\": 3}, {\"weight\": 1738, \"source\": 0, \"target\": 1}, {\"weight\": 9063, \"source\": 0, \"target\": 2}, {\"weight\": 16517, \"source\": 0, \"target\": 7}, {\"weight\": 6668, \"source\": 0, \"target\": 5}, {\"weight\": 6490, \"source\": 1, \"target\": 6}, {\"weight\": 3026, \"source\": 1, \"target\": 8}, {\"weight\": 9493, \"source\": 1, \"target\": 4}, {\"weight\": 5669, \"source\": 1, \"target\": 3}, {\"weight\": 10116, \"source\": 1, \"target\": 2}, {\"weight\": 15219, \"source\": 1, \"target\": 7}, {\"weight\": 5544, \"source\": 1, \"target\": 5}, {\"weight\": 3635, \"source\": 2, \"target\": 6}, {\"weight\": 12931, \"source\": 2, \"target\": 8}, {\"weight\": 5029, \"source\": 2, \"target\": 4}, {\"weight\": 12292, \"source\": 2, \"target\": 3}, {\"weight\": 14503, \"source\": 2, \"target\": 7}, {\"weight\": 13216, \"source\": 2, \"target\": 5}, {\"weight\": 8975, \"source\": 3, \"target\": 6}, {\"weight\": 5840, \"source\": 3, \"target\": 8}, {\"weight\": 13256, \"source\": 3, \"target\": 4}, {\"weight\": 15402, \"source\": 3, \"target\": 7}, {\"weight\": 10456, \"source\": 3, \"target\": 5}, {\"weight\": 5305, \"source\": 4, \"target\": 6}, {\"weight\": 12373, \"source\": 4, \"target\": 8}, {\"weight\": 16215, \"source\": 4, \"target\": 7}, {\"weight\": 10134, \"source\": 4, \"target\": 5}, {\"weight\": 10912, \"source\": 5, \"target\": 6}, {\"weight\": 5697, \"source\": 5, \"target\": 8}, {\"weight\": 14299, \"source\": 5, \"target\": 7}, {\"weight\": 9353, \"source\": 6, \"target\": 8}, {\"weight\": 17177, \"source\": 6, \"target\": 7}, {\"weight\": 13764, \"source\": 7, \"target\": 8}]}",
"id": 475,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLK, AGS, BEY, YYH, KMS, JAU, BRS, PQQ, LAP\n- Travel distances (in kilometers) between each pair of airports:\nSLK to BRS: 5436\nSLK to LAP: 4621\nSLK to KMS: 8784\nSLK to YYH: 5156\nSLK to AGS: 1738\nSLK to BEY: 9063\nSLK to PQQ: 16517\nSLK to JAU: 6668\nAGS to BRS: 6490\nAGS to LAP: 3026\nAGS to KMS: 9493\nAGS to YYH: 5669\nAGS to BEY: 10116\nAGS to PQQ: 15219\nAGS to JAU: 5544\nBEY to BRS: 3635\nBEY to LAP: 12931\nBEY to KMS: 5029\nBEY to YYH: 12292\nBEY to PQQ: 14503\nBEY to JAU: 13216\nYYH to BRS: 8975\nYYH to LAP: 5840\nYYH to KMS: 13256\nYYH to PQQ: 15402\nYYH to JAU: 10456\nKMS to BRS: 5305\nKMS to LAP: 12373\nKMS to PQQ: 16215\nKMS to JAU: 10134\nJAU to BRS: 10912\nJAU to LAP: 5697\nJAU to PQQ: 14299\nBRS to LAP: 9353\nBRS to PQQ: 17177\nPQQ to LAP: 13764\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WNR, GFK, WJU, CUQ, PEC, BPX, RBA, MAH, BZE\n- Travel distances (in kilometers) between each pair of airports:\nWNR to BZE: 16129\nWNR to GFK: 14984\nWNR to MAH: 16592\nWNR to RBA: 17593\nWNR to BPX: 8556\nWNR to PEC: 14142\nWNR to WJU: 8104\nWNR to CUQ: 2155\nGFK to BZE: 3587\nGFK to MAH: 8132\nGFK to RBA: 7763\nGFK to BPX: 13462\nGFK to PEC: 4266\nGFK to WJU: 11758\nGFK to CUQ: 15729\nWJU to BZE: 13799\nWJU to MAH: 10438\nWJU to RBA: 11527\nWJU to BPX: 3304\nWJU to PEC: 10836\nWJU to CUQ: 7312\nCUQ to BZE: 16874\nCUQ to MAH: 16154\nCUQ to RBA: 17210\nCUQ to BPX: 8021\nCUQ to PEC: 14887\nPEC to BZE: 6137\nPEC to MAH: 10583\nPEC to RBA: 11080\nPEC to BPX: 12456\nBPX to BZE: 15323\nBPX to MAH: 8843\nBPX to RBA: 9878\nRBA to BZE: 8637\nRBA to MAH: 1408\nMAH to BZE: 9006\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53654,
"style": "rule"
}
|
{
"exact_answer": 53654,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WNR\", \"id\": 0}, {\"name\": \"GFK\", \"id\": 1}, {\"name\": \"WJU\", \"id\": 2}, {\"name\": \"CUQ\", \"id\": 3}, {\"name\": \"PEC\", \"id\": 4}, {\"name\": \"BPX\", \"id\": 5}, {\"name\": \"RBA\", \"id\": 6}, {\"name\": \"MAH\", \"id\": 7}, {\"name\": \"BZE\", \"id\": 8}], \"links\": [{\"weight\": 16129, \"source\": 0, \"target\": 8}, {\"weight\": 14984, \"source\": 0, \"target\": 1}, {\"weight\": 16592, \"source\": 0, \"target\": 7}, {\"weight\": 17593, \"source\": 0, \"target\": 6}, {\"weight\": 8556, \"source\": 0, \"target\": 5}, {\"weight\": 14142, \"source\": 0, \"target\": 4}, {\"weight\": 8104, \"source\": 0, \"target\": 2}, {\"weight\": 2155, \"source\": 0, \"target\": 3}, {\"weight\": 3587, \"source\": 1, \"target\": 8}, {\"weight\": 8132, \"source\": 1, \"target\": 7}, {\"weight\": 7763, \"source\": 1, \"target\": 6}, {\"weight\": 13462, \"source\": 1, \"target\": 5}, {\"weight\": 4266, \"source\": 1, \"target\": 4}, {\"weight\": 11758, \"source\": 1, \"target\": 2}, {\"weight\": 15729, \"source\": 1, \"target\": 3}, {\"weight\": 13799, \"source\": 2, \"target\": 8}, {\"weight\": 10438, \"source\": 2, \"target\": 7}, {\"weight\": 11527, \"source\": 2, \"target\": 6}, {\"weight\": 3304, \"source\": 2, \"target\": 5}, {\"weight\": 10836, \"source\": 2, \"target\": 4}, {\"weight\": 7312, \"source\": 2, \"target\": 3}, {\"weight\": 16874, \"source\": 3, \"target\": 8}, {\"weight\": 16154, \"source\": 3, \"target\": 7}, {\"weight\": 17210, \"source\": 3, \"target\": 6}, {\"weight\": 8021, \"source\": 3, \"target\": 5}, {\"weight\": 14887, \"source\": 3, \"target\": 4}, {\"weight\": 6137, \"source\": 4, \"target\": 8}, {\"weight\": 10583, \"source\": 4, \"target\": 7}, {\"weight\": 11080, \"source\": 4, \"target\": 6}, {\"weight\": 12456, \"source\": 4, \"target\": 5}, {\"weight\": 15323, \"source\": 5, \"target\": 8}, {\"weight\": 8843, \"source\": 5, \"target\": 7}, {\"weight\": 9878, \"source\": 5, \"target\": 6}, {\"weight\": 8637, \"source\": 6, \"target\": 8}, {\"weight\": 1408, \"source\": 6, \"target\": 7}, {\"weight\": 9006, \"source\": 7, \"target\": 8}]}",
"id": 476,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WNR, GFK, WJU, CUQ, PEC, BPX, RBA, MAH, BZE\n- Travel distances (in kilometers) between each pair of airports:\nWNR to BZE: 16129\nWNR to GFK: 14984\nWNR to MAH: 16592\nWNR to RBA: 17593\nWNR to BPX: 8556\nWNR to PEC: 14142\nWNR to WJU: 8104\nWNR to CUQ: 2155\nGFK to BZE: 3587\nGFK to MAH: 8132\nGFK to RBA: 7763\nGFK to BPX: 13462\nGFK to PEC: 4266\nGFK to WJU: 11758\nGFK to CUQ: 15729\nWJU to BZE: 13799\nWJU to MAH: 10438\nWJU to RBA: 11527\nWJU to BPX: 3304\nWJU to PEC: 10836\nWJU to CUQ: 7312\nCUQ to BZE: 16874\nCUQ to MAH: 16154\nCUQ to RBA: 17210\nCUQ to BPX: 8021\nCUQ to PEC: 14887\nPEC to BZE: 6137\nPEC to MAH: 10583\nPEC to RBA: 11080\nPEC to BPX: 12456\nBPX to BZE: 15323\nBPX to MAH: 8843\nBPX to RBA: 9878\nRBA to BZE: 8637\nRBA to MAH: 1408\nMAH to BZE: 9006\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADF, EAR, DLY, NZH, CPD, GSM, KHV, CIF, VAS\n- Travel distances (in kilometers) between each pair of airports:\nADF to NZH: 7108\nADF to GSM: 3371\nADF to CIF: 7696\nADF to KHV: 8279\nADF to DLY: 16237\nADF to VAS: 1520\nADF to EAR: 11260\nADF to CPD: 14951\nEAR to NZH: 11831\nEAR to GSM: 13301\nEAR to CIF: 10664\nEAR to KHV: 11262\nEAR to DLY: 11870\nEAR to VAS: 11048\nEAR to CPD: 15775\nDLY to NZH: 9997\nDLY to GSM: 13782\nDLY to CIF: 9432\nDLY to KHV: 9124\nDLY to VAS: 16549\nDLY to CPD: 4400\nNZH to GSM: 6044\nNZH to CIF: 1369\nNZH to KHV: 1543\nNZH to VAS: 7217\nNZH to CPD: 10489\nCPD to GSM: 11928\nCPD to CIF: 9648\nCPD to KHV: 10242\nCPD to VAS: 15375\nGSM to CIF: 6256\nGSM to KHV: 7289\nGSM to VAS: 3679\nKHV to CIF: 1446\nKHV to VAS: 8396\nCIF to VAS: 8015\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50890,
"style": "rule"
}
|
{
"exact_answer": 50890,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ADF\", \"id\": 0}, {\"name\": \"EAR\", \"id\": 1}, {\"name\": \"DLY\", \"id\": 2}, {\"name\": \"NZH\", \"id\": 3}, {\"name\": \"CPD\", \"id\": 4}, {\"name\": \"GSM\", \"id\": 5}, {\"name\": \"KHV\", \"id\": 6}, {\"name\": \"CIF\", \"id\": 7}, {\"name\": \"VAS\", \"id\": 8}], \"links\": [{\"weight\": 7108, \"source\": 0, \"target\": 3}, {\"weight\": 3371, \"source\": 0, \"target\": 5}, {\"weight\": 7696, \"source\": 0, \"target\": 7}, {\"weight\": 8279, \"source\": 0, \"target\": 6}, {\"weight\": 16237, \"source\": 0, \"target\": 2}, {\"weight\": 1520, \"source\": 0, \"target\": 8}, {\"weight\": 11260, \"source\": 0, \"target\": 1}, {\"weight\": 14951, \"source\": 0, \"target\": 4}, {\"weight\": 11831, \"source\": 1, \"target\": 3}, {\"weight\": 13301, \"source\": 1, \"target\": 5}, {\"weight\": 10664, \"source\": 1, \"target\": 7}, {\"weight\": 11262, \"source\": 1, \"target\": 6}, {\"weight\": 11870, \"source\": 1, \"target\": 2}, {\"weight\": 11048, \"source\": 1, \"target\": 8}, {\"weight\": 15775, \"source\": 1, \"target\": 4}, {\"weight\": 9997, \"source\": 2, \"target\": 3}, {\"weight\": 13782, \"source\": 2, \"target\": 5}, {\"weight\": 9432, \"source\": 2, \"target\": 7}, {\"weight\": 9124, \"source\": 2, \"target\": 6}, {\"weight\": 16549, \"source\": 2, \"target\": 8}, {\"weight\": 4400, \"source\": 2, \"target\": 4}, {\"weight\": 6044, \"source\": 3, \"target\": 5}, {\"weight\": 1369, \"source\": 3, \"target\": 7}, {\"weight\": 1543, \"source\": 3, \"target\": 6}, {\"weight\": 7217, \"source\": 3, \"target\": 8}, {\"weight\": 10489, \"source\": 3, \"target\": 4}, {\"weight\": 11928, \"source\": 4, \"target\": 5}, {\"weight\": 9648, \"source\": 4, \"target\": 7}, {\"weight\": 10242, \"source\": 4, \"target\": 6}, {\"weight\": 15375, \"source\": 4, \"target\": 8}, {\"weight\": 6256, \"source\": 5, \"target\": 7}, {\"weight\": 7289, \"source\": 5, \"target\": 6}, {\"weight\": 3679, \"source\": 5, \"target\": 8}, {\"weight\": 1446, \"source\": 6, \"target\": 7}, {\"weight\": 8396, \"source\": 6, \"target\": 8}, {\"weight\": 8015, \"source\": 7, \"target\": 8}]}",
"id": 477,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ADF, EAR, DLY, NZH, CPD, GSM, KHV, CIF, VAS\n- Travel distances (in kilometers) between each pair of airports:\nADF to NZH: 7108\nADF to GSM: 3371\nADF to CIF: 7696\nADF to KHV: 8279\nADF to DLY: 16237\nADF to VAS: 1520\nADF to EAR: 11260\nADF to CPD: 14951\nEAR to NZH: 11831\nEAR to GSM: 13301\nEAR to CIF: 10664\nEAR to KHV: 11262\nEAR to DLY: 11870\nEAR to VAS: 11048\nEAR to CPD: 15775\nDLY to NZH: 9997\nDLY to GSM: 13782\nDLY to CIF: 9432\nDLY to KHV: 9124\nDLY to VAS: 16549\nDLY to CPD: 4400\nNZH to GSM: 6044\nNZH to CIF: 1369\nNZH to KHV: 1543\nNZH to VAS: 7217\nNZH to CPD: 10489\nCPD to GSM: 11928\nCPD to CIF: 9648\nCPD to KHV: 10242\nCPD to VAS: 15375\nGSM to CIF: 6256\nGSM to KHV: 7289\nGSM to VAS: 3679\nKHV to CIF: 1446\nKHV to VAS: 8396\nCIF to VAS: 8015\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OAG, WAA, DUD, RIW, ACY, CLJ, BGO, GSO, HGA\n- Travel distances (in kilometers) between each pair of airports:\nOAG to BGO: 16488\nOAG to WAA: 13881\nOAG to GSO: 15611\nOAG to CLJ: 15910\nOAG to HGA: 13868\nOAG to DUD: 2653\nOAG to ACY: 16216\nOAG to RIW: 14119\nWAA to BGO: 10663\nWAA to GSO: 6554\nWAA to CLJ: 12685\nWAA to HGA: 17124\nWAA to DUD: 13662\nWAA to ACY: 6725\nWAA to RIW: 5376\nDUD to BGO: 18393\nDUD to GSO: 15092\nDUD to CLJ: 18081\nDUD to HGA: 15863\nDUD to ACY: 15505\nDUD to RIW: 13408\nRIW to BGO: 7690\nRIW to GSO: 2675\nRIW to CLJ: 9712\nRIW to HGA: 14148\nRIW to ACY: 3056\nACY to BGO: 5804\nACY to GSO: 1134\nACY to CLJ: 7478\nACY to HGA: 11816\nCLJ to BGO: 2053\nCLJ to GSO: 8073\nCLJ to HGA: 4574\nBGO to GSO: 6340\nBGO to HGA: 6495\nGSO to HGA: 12411\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51799,
"style": "rule"
}
|
{
"exact_answer": 51799,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OAG\", \"id\": 0}, {\"name\": \"WAA\", \"id\": 1}, {\"name\": \"DUD\", \"id\": 2}, {\"name\": \"RIW\", \"id\": 3}, {\"name\": \"ACY\", \"id\": 4}, {\"name\": \"CLJ\", \"id\": 5}, {\"name\": \"BGO\", \"id\": 6}, {\"name\": \"GSO\", \"id\": 7}, {\"name\": \"HGA\", \"id\": 8}], \"links\": [{\"weight\": 16488, \"source\": 0, \"target\": 6}, {\"weight\": 13881, \"source\": 0, \"target\": 1}, {\"weight\": 15611, \"source\": 0, \"target\": 7}, {\"weight\": 15910, \"source\": 0, \"target\": 5}, {\"weight\": 13868, \"source\": 0, \"target\": 8}, {\"weight\": 2653, \"source\": 0, \"target\": 2}, {\"weight\": 16216, \"source\": 0, \"target\": 4}, {\"weight\": 14119, \"source\": 0, \"target\": 3}, {\"weight\": 10663, \"source\": 1, \"target\": 6}, {\"weight\": 6554, \"source\": 1, \"target\": 7}, {\"weight\": 12685, \"source\": 1, \"target\": 5}, {\"weight\": 17124, \"source\": 1, \"target\": 8}, {\"weight\": 13662, \"source\": 1, \"target\": 2}, {\"weight\": 6725, \"source\": 1, \"target\": 4}, {\"weight\": 5376, \"source\": 1, \"target\": 3}, {\"weight\": 18393, \"source\": 2, \"target\": 6}, {\"weight\": 15092, \"source\": 2, \"target\": 7}, {\"weight\": 18081, \"source\": 2, \"target\": 5}, {\"weight\": 15863, \"source\": 2, \"target\": 8}, {\"weight\": 15505, \"source\": 2, \"target\": 4}, {\"weight\": 13408, \"source\": 2, \"target\": 3}, {\"weight\": 7690, \"source\": 3, \"target\": 6}, {\"weight\": 2675, \"source\": 3, \"target\": 7}, {\"weight\": 9712, \"source\": 3, \"target\": 5}, {\"weight\": 14148, \"source\": 3, \"target\": 8}, {\"weight\": 3056, \"source\": 3, \"target\": 4}, {\"weight\": 5804, \"source\": 4, \"target\": 6}, {\"weight\": 1134, \"source\": 4, \"target\": 7}, {\"weight\": 7478, \"source\": 4, \"target\": 5}, {\"weight\": 11816, \"source\": 4, \"target\": 8}, {\"weight\": 2053, \"source\": 5, \"target\": 6}, {\"weight\": 8073, \"source\": 5, \"target\": 7}, {\"weight\": 4574, \"source\": 5, \"target\": 8}, {\"weight\": 6340, \"source\": 6, \"target\": 7}, {\"weight\": 6495, \"source\": 6, \"target\": 8}, {\"weight\": 12411, \"source\": 7, \"target\": 8}]}",
"id": 478,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OAG, WAA, DUD, RIW, ACY, CLJ, BGO, GSO, HGA\n- Travel distances (in kilometers) between each pair of airports:\nOAG to BGO: 16488\nOAG to WAA: 13881\nOAG to GSO: 15611\nOAG to CLJ: 15910\nOAG to HGA: 13868\nOAG to DUD: 2653\nOAG to ACY: 16216\nOAG to RIW: 14119\nWAA to BGO: 10663\nWAA to GSO: 6554\nWAA to CLJ: 12685\nWAA to HGA: 17124\nWAA to DUD: 13662\nWAA to ACY: 6725\nWAA to RIW: 5376\nDUD to BGO: 18393\nDUD to GSO: 15092\nDUD to CLJ: 18081\nDUD to HGA: 15863\nDUD to ACY: 15505\nDUD to RIW: 13408\nRIW to BGO: 7690\nRIW to GSO: 2675\nRIW to CLJ: 9712\nRIW to HGA: 14148\nRIW to ACY: 3056\nACY to BGO: 5804\nACY to GSO: 1134\nACY to CLJ: 7478\nACY to HGA: 11816\nCLJ to BGO: 2053\nCLJ to GSO: 8073\nCLJ to HGA: 4574\nBGO to GSO: 6340\nBGO to HGA: 6495\nGSO to HGA: 12411\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVI, SJT, CZS, RUH, GOM, COO, PMV, LBJ, IRZ\n- Travel distances (in kilometers) between each pair of airports:\nBVI to COO: 16887\nBVI to PMV: 18610\nBVI to RUH: 11898\nBVI to SJT: 15161\nBVI to IRZ: 19534\nBVI to GOM: 17049\nBVI to CZS: 19256\nBVI to LBJ: 4169\nSJT to COO: 11010\nSJT to PMV: 4644\nSJT to RUH: 12902\nSJT to IRZ: 6899\nSJT to GOM: 14339\nSJT to CZS: 7853\nSJT to LBJ: 16818\nCZS to COO: 9694\nCZS to PMV: 3419\nCZS to RUH: 14691\nCZS to IRZ: 2662\nCZS to GOM: 12097\nCZS to LBJ: 21806\nRUH to COO: 5154\nRUH to PMV: 12088\nRUH to IRZ: 13737\nRUH to GOM: 6535\nRUH to LBJ: 8842\nGOM to COO: 3463\nGOM to PMV: 12475\nGOM to IRZ: 12041\nGOM to LBJ: 13918\nCOO to PMV: 9039\nCOO to IRZ: 8908\nCOO to LBJ: 13768\nPMV to IRZ: 2465\nPMV to LBJ: 20316\nLBJ to IRZ: 21837\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57635,
"style": "rule"
}
|
{
"exact_answer": 57635,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BVI\", \"id\": 0}, {\"name\": \"SJT\", \"id\": 1}, {\"name\": \"CZS\", \"id\": 2}, {\"name\": \"RUH\", \"id\": 3}, {\"name\": \"GOM\", \"id\": 4}, {\"name\": \"COO\", \"id\": 5}, {\"name\": \"PMV\", \"id\": 6}, {\"name\": \"LBJ\", \"id\": 7}, {\"name\": \"IRZ\", \"id\": 8}], \"links\": [{\"weight\": 16887, \"source\": 0, \"target\": 5}, {\"weight\": 18610, \"source\": 0, \"target\": 6}, {\"weight\": 11898, \"source\": 0, \"target\": 3}, {\"weight\": 15161, \"source\": 0, \"target\": 1}, {\"weight\": 19534, \"source\": 0, \"target\": 8}, {\"weight\": 17049, \"source\": 0, \"target\": 4}, {\"weight\": 19256, \"source\": 0, \"target\": 2}, {\"weight\": 4169, \"source\": 0, \"target\": 7}, {\"weight\": 11010, \"source\": 1, \"target\": 5}, {\"weight\": 4644, \"source\": 1, \"target\": 6}, {\"weight\": 12902, \"source\": 1, \"target\": 3}, {\"weight\": 6899, \"source\": 1, \"target\": 8}, {\"weight\": 14339, \"source\": 1, \"target\": 4}, {\"weight\": 7853, \"source\": 1, \"target\": 2}, {\"weight\": 16818, \"source\": 1, \"target\": 7}, {\"weight\": 9694, \"source\": 2, \"target\": 5}, {\"weight\": 3419, \"source\": 2, \"target\": 6}, {\"weight\": 14691, \"source\": 2, \"target\": 3}, {\"weight\": 2662, \"source\": 2, \"target\": 8}, {\"weight\": 12097, \"source\": 2, \"target\": 4}, {\"weight\": 21806, \"source\": 2, \"target\": 7}, {\"weight\": 5154, \"source\": 3, \"target\": 5}, {\"weight\": 12088, \"source\": 3, \"target\": 6}, {\"weight\": 13737, \"source\": 3, \"target\": 8}, {\"weight\": 6535, \"source\": 3, \"target\": 4}, {\"weight\": 8842, \"source\": 3, \"target\": 7}, {\"weight\": 3463, \"source\": 4, \"target\": 5}, {\"weight\": 12475, \"source\": 4, \"target\": 6}, {\"weight\": 12041, \"source\": 4, \"target\": 8}, {\"weight\": 13918, \"source\": 4, \"target\": 7}, {\"weight\": 9039, \"source\": 5, \"target\": 6}, {\"weight\": 8908, \"source\": 5, \"target\": 8}, {\"weight\": 13768, \"source\": 5, \"target\": 7}, {\"weight\": 2465, \"source\": 6, \"target\": 8}, {\"weight\": 20316, \"source\": 6, \"target\": 7}, {\"weight\": 21837, \"source\": 7, \"target\": 8}]}",
"id": 479,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BVI, SJT, CZS, RUH, GOM, COO, PMV, LBJ, IRZ\n- Travel distances (in kilometers) between each pair of airports:\nBVI to COO: 16887\nBVI to PMV: 18610\nBVI to RUH: 11898\nBVI to SJT: 15161\nBVI to IRZ: 19534\nBVI to GOM: 17049\nBVI to CZS: 19256\nBVI to LBJ: 4169\nSJT to COO: 11010\nSJT to PMV: 4644\nSJT to RUH: 12902\nSJT to IRZ: 6899\nSJT to GOM: 14339\nSJT to CZS: 7853\nSJT to LBJ: 16818\nCZS to COO: 9694\nCZS to PMV: 3419\nCZS to RUH: 14691\nCZS to IRZ: 2662\nCZS to GOM: 12097\nCZS to LBJ: 21806\nRUH to COO: 5154\nRUH to PMV: 12088\nRUH to IRZ: 13737\nRUH to GOM: 6535\nRUH to LBJ: 8842\nGOM to COO: 3463\nGOM to PMV: 12475\nGOM to IRZ: 12041\nGOM to LBJ: 13918\nCOO to PMV: 9039\nCOO to IRZ: 8908\nCOO to LBJ: 13768\nPMV to IRZ: 2465\nPMV to LBJ: 20316\nLBJ to IRZ: 21837\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKE, DLY, EKS, GXH, UDJ, SVC, FNA, TBN, HOG\n- Travel distances (in kilometers) between each pair of airports:\nLKE to FNA: 10851\nLKE to GXH: 10193\nLKE to TBN: 2954\nLKE to HOG: 5437\nLKE to EKS: 9185\nLKE to UDJ: 9867\nLKE to DLY: 10538\nLKE to SVC: 2171\nDLY to FNA: 19793\nDLY to GXH: 9891\nDLY to TBN: 12742\nDLY to HOG: 14499\nDLY to EKS: 9153\nDLY to UDJ: 16368\nDLY to SVC: 10959\nEKS to FNA: 13952\nEKS to GXH: 4007\nEKS to TBN: 11973\nEKS to HOG: 14372\nEKS to UDJ: 8286\nEKS to SVC: 11153\nGXH to FNA: 12552\nGXH to TBN: 12661\nGXH to HOG: 14618\nGXH to UDJ: 7954\nGXH to SVC: 12324\nUDJ to FNA: 7052\nUDJ to TBN: 9380\nUDJ to HOG: 10066\nUDJ to SVC: 11100\nSVC to FNA: 10737\nSVC to TBN: 2586\nSVC to HOG: 4297\nFNA to TBN: 8533\nFNA to HOG: 9437\nTBN to HOG: 3045\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55943,
"style": "rule"
}
|
{
"exact_answer": 55943,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKE\", \"id\": 0}, {\"name\": \"DLY\", \"id\": 1}, {\"name\": \"EKS\", \"id\": 2}, {\"name\": \"GXH\", \"id\": 3}, {\"name\": \"UDJ\", \"id\": 4}, {\"name\": \"SVC\", \"id\": 5}, {\"name\": \"FNA\", \"id\": 6}, {\"name\": \"TBN\", \"id\": 7}, {\"name\": \"HOG\", \"id\": 8}], \"links\": [{\"weight\": 10851, \"source\": 0, \"target\": 6}, {\"weight\": 10193, \"source\": 0, \"target\": 3}, {\"weight\": 2954, \"source\": 0, \"target\": 7}, {\"weight\": 5437, \"source\": 0, \"target\": 8}, {\"weight\": 9185, \"source\": 0, \"target\": 2}, {\"weight\": 9867, \"source\": 0, \"target\": 4}, {\"weight\": 10538, \"source\": 0, \"target\": 1}, {\"weight\": 2171, \"source\": 0, \"target\": 5}, {\"weight\": 19793, \"source\": 1, \"target\": 6}, {\"weight\": 9891, \"source\": 1, \"target\": 3}, {\"weight\": 12742, \"source\": 1, \"target\": 7}, {\"weight\": 14499, \"source\": 1, \"target\": 8}, {\"weight\": 9153, \"source\": 1, \"target\": 2}, {\"weight\": 16368, \"source\": 1, \"target\": 4}, {\"weight\": 10959, \"source\": 1, \"target\": 5}, {\"weight\": 13952, \"source\": 2, \"target\": 6}, {\"weight\": 4007, \"source\": 2, \"target\": 3}, {\"weight\": 11973, \"source\": 2, \"target\": 7}, {\"weight\": 14372, \"source\": 2, \"target\": 8}, {\"weight\": 8286, \"source\": 2, \"target\": 4}, {\"weight\": 11153, \"source\": 2, \"target\": 5}, {\"weight\": 12552, \"source\": 3, \"target\": 6}, {\"weight\": 12661, \"source\": 3, \"target\": 7}, {\"weight\": 14618, \"source\": 3, \"target\": 8}, {\"weight\": 7954, \"source\": 3, \"target\": 4}, {\"weight\": 12324, \"source\": 3, \"target\": 5}, {\"weight\": 7052, \"source\": 4, \"target\": 6}, {\"weight\": 9380, \"source\": 4, \"target\": 7}, {\"weight\": 10066, \"source\": 4, \"target\": 8}, {\"weight\": 11100, \"source\": 4, \"target\": 5}, {\"weight\": 10737, \"source\": 5, \"target\": 6}, {\"weight\": 2586, \"source\": 5, \"target\": 7}, {\"weight\": 4297, \"source\": 5, \"target\": 8}, {\"weight\": 8533, \"source\": 6, \"target\": 7}, {\"weight\": 9437, \"source\": 6, \"target\": 8}, {\"weight\": 3045, \"source\": 7, \"target\": 8}]}",
"id": 480,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKE, DLY, EKS, GXH, UDJ, SVC, FNA, TBN, HOG\n- Travel distances (in kilometers) between each pair of airports:\nLKE to FNA: 10851\nLKE to GXH: 10193\nLKE to TBN: 2954\nLKE to HOG: 5437\nLKE to EKS: 9185\nLKE to UDJ: 9867\nLKE to DLY: 10538\nLKE to SVC: 2171\nDLY to FNA: 19793\nDLY to GXH: 9891\nDLY to TBN: 12742\nDLY to HOG: 14499\nDLY to EKS: 9153\nDLY to UDJ: 16368\nDLY to SVC: 10959\nEKS to FNA: 13952\nEKS to GXH: 4007\nEKS to TBN: 11973\nEKS to HOG: 14372\nEKS to UDJ: 8286\nEKS to SVC: 11153\nGXH to FNA: 12552\nGXH to TBN: 12661\nGXH to HOG: 14618\nGXH to UDJ: 7954\nGXH to SVC: 12324\nUDJ to FNA: 7052\nUDJ to TBN: 9380\nUDJ to HOG: 10066\nUDJ to SVC: 11100\nSVC to FNA: 10737\nSVC to TBN: 2586\nSVC to HOG: 4297\nFNA to TBN: 8533\nFNA to HOG: 9437\nTBN to HOG: 3045\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AAE, LOK, LYI, BIK, FAI, CUZ, LUW, AHE\n- Travel distances (in kilometers) between each pair of airports:\nACT to CUZ: 6152\nACT to LYI: 11820\nACT to FAI: 5272\nACT to LOK: 15059\nACT to AAE: 9250\nACT to BIK: 17871\nACT to LUW: 16556\nACT to AHE: 9237\nAAE to CUZ: 11120\nAAE to LYI: 9511\nAAE to FAI: 11918\nAAE to LOK: 7158\nAAE to BIK: 14301\nAAE to LUW: 12986\nAAE to AHE: 17625\nLOK to CUZ: 12713\nLOK to LYI: 9870\nLOK to FAI: 17489\nLOK to BIK: 12124\nLOK to LUW: 10809\nLOK to AHE: 19401\nLYI to CUZ: 17630\nLYI to FAI: 11522\nLYI to BIK: 6568\nLYI to LUW: 5253\nLYI to AHE: 12158\nBIK to CUZ: 20927\nBIK to FAI: 17521\nBIK to LUW: 2459\nBIK to AHE: 13589\nFAI to CUZ: 11087\nFAI to LUW: 16206\nFAI to AHE: 9807\nCUZ to LUW: 19612\nCUZ to AHE: 10944\nLUW to AHE: 12274\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 70680,
"style": "rule"
}
|
{
"exact_answer": 70680,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACT\", \"id\": 0}, {\"name\": \"AAE\", \"id\": 1}, {\"name\": \"LOK\", \"id\": 2}, {\"name\": \"LYI\", \"id\": 3}, {\"name\": \"BIK\", \"id\": 4}, {\"name\": \"FAI\", \"id\": 5}, {\"name\": \"CUZ\", \"id\": 6}, {\"name\": \"LUW\", \"id\": 7}, {\"name\": \"AHE\", \"id\": 8}], \"links\": [{\"weight\": 6152, \"source\": 0, \"target\": 6}, {\"weight\": 11820, \"source\": 0, \"target\": 3}, {\"weight\": 5272, \"source\": 0, \"target\": 5}, {\"weight\": 15059, \"source\": 0, \"target\": 2}, {\"weight\": 9250, \"source\": 0, \"target\": 1}, {\"weight\": 17871, \"source\": 0, \"target\": 4}, {\"weight\": 16556, \"source\": 0, \"target\": 7}, {\"weight\": 9237, \"source\": 0, \"target\": 8}, {\"weight\": 11120, \"source\": 1, \"target\": 6}, {\"weight\": 9511, \"source\": 1, \"target\": 3}, {\"weight\": 11918, \"source\": 1, \"target\": 5}, {\"weight\": 7158, \"source\": 1, \"target\": 2}, {\"weight\": 14301, \"source\": 1, \"target\": 4}, {\"weight\": 12986, \"source\": 1, \"target\": 7}, {\"weight\": 17625, \"source\": 1, \"target\": 8}, {\"weight\": 12713, \"source\": 2, \"target\": 6}, {\"weight\": 9870, \"source\": 2, \"target\": 3}, {\"weight\": 17489, \"source\": 2, \"target\": 5}, {\"weight\": 12124, \"source\": 2, \"target\": 4}, {\"weight\": 10809, \"source\": 2, \"target\": 7}, {\"weight\": 19401, \"source\": 2, \"target\": 8}, {\"weight\": 17630, \"source\": 3, \"target\": 6}, {\"weight\": 11522, \"source\": 3, \"target\": 5}, {\"weight\": 6568, \"source\": 3, \"target\": 4}, {\"weight\": 5253, \"source\": 3, \"target\": 7}, {\"weight\": 12158, \"source\": 3, \"target\": 8}, {\"weight\": 20927, \"source\": 4, \"target\": 6}, {\"weight\": 17521, \"source\": 4, \"target\": 5}, {\"weight\": 2459, \"source\": 4, \"target\": 7}, {\"weight\": 13589, \"source\": 4, \"target\": 8}, {\"weight\": 11087, \"source\": 5, \"target\": 6}, {\"weight\": 16206, \"source\": 5, \"target\": 7}, {\"weight\": 9807, \"source\": 5, \"target\": 8}, {\"weight\": 19612, \"source\": 6, \"target\": 7}, {\"weight\": 10944, \"source\": 6, \"target\": 8}, {\"weight\": 12274, \"source\": 7, \"target\": 8}]}",
"id": 481,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, AAE, LOK, LYI, BIK, FAI, CUZ, LUW, AHE\n- Travel distances (in kilometers) between each pair of airports:\nACT to CUZ: 6152\nACT to LYI: 11820\nACT to FAI: 5272\nACT to LOK: 15059\nACT to AAE: 9250\nACT to BIK: 17871\nACT to LUW: 16556\nACT to AHE: 9237\nAAE to CUZ: 11120\nAAE to LYI: 9511\nAAE to FAI: 11918\nAAE to LOK: 7158\nAAE to BIK: 14301\nAAE to LUW: 12986\nAAE to AHE: 17625\nLOK to CUZ: 12713\nLOK to LYI: 9870\nLOK to FAI: 17489\nLOK to BIK: 12124\nLOK to LUW: 10809\nLOK to AHE: 19401\nLYI to CUZ: 17630\nLYI to FAI: 11522\nLYI to BIK: 6568\nLYI to LUW: 5253\nLYI to AHE: 12158\nBIK to CUZ: 20927\nBIK to FAI: 17521\nBIK to LUW: 2459\nBIK to AHE: 13589\nFAI to CUZ: 11087\nFAI to LUW: 16206\nFAI to AHE: 9807\nCUZ to LUW: 19612\nCUZ to AHE: 10944\nLUW to AHE: 12274\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAM, LGL, XTG, GJA, EBL, HBX, AEB, SGN, MYA\n- Travel distances (in kilometers) between each pair of airports:\nTAM to SGN: 15510\nTAM to EBL: 12438\nTAM to AEB: 14365\nTAM to LGL: 15706\nTAM to GJA: 1849\nTAM to XTG: 14921\nTAM to HBX: 15971\nTAM to MYA: 14767\nLGL to SGN: 2413\nLGL to EBL: 8340\nLGL to AEB: 3061\nLGL to GJA: 17208\nLGL to XTG: 7456\nLGL to HBX: 4800\nLGL to MYA: 6584\nXTG to SGN: 8153\nXTG to EBL: 14328\nXTG to AEB: 8645\nXTG to GJA: 16387\nXTG to HBX: 10619\nXTG to MYA: 1751\nGJA to SGN: 16872\nGJA to EBL: 12411\nGJA to AEB: 15635\nGJA to HBX: 16207\nGJA to MYA: 16233\nEBL to SGN: 6866\nEBL to AEB: 6782\nEBL to HBX: 3929\nEBL to MYA: 13811\nHBX to SGN: 3600\nHBX to AEB: 4519\nHBX to MYA: 10084\nAEB to SGN: 2019\nAEB to MYA: 8412\nSGN to MYA: 7082\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50125,
"style": "rule"
}
|
{
"exact_answer": 50125,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TAM\", \"id\": 0}, {\"name\": \"LGL\", \"id\": 1}, {\"name\": \"XTG\", \"id\": 2}, {\"name\": \"GJA\", \"id\": 3}, {\"name\": \"EBL\", \"id\": 4}, {\"name\": \"HBX\", \"id\": 5}, {\"name\": \"AEB\", \"id\": 6}, {\"name\": \"SGN\", \"id\": 7}, {\"name\": \"MYA\", \"id\": 8}], \"links\": [{\"weight\": 15510, \"source\": 0, \"target\": 7}, {\"weight\": 12438, \"source\": 0, \"target\": 4}, {\"weight\": 14365, \"source\": 0, \"target\": 6}, {\"weight\": 15706, \"source\": 0, \"target\": 1}, {\"weight\": 1849, \"source\": 0, \"target\": 3}, {\"weight\": 14921, \"source\": 0, \"target\": 2}, {\"weight\": 15971, \"source\": 0, \"target\": 5}, {\"weight\": 14767, \"source\": 0, \"target\": 8}, {\"weight\": 2413, \"source\": 1, \"target\": 7}, {\"weight\": 8340, \"source\": 1, \"target\": 4}, {\"weight\": 3061, \"source\": 1, \"target\": 6}, {\"weight\": 17208, \"source\": 1, \"target\": 3}, {\"weight\": 7456, \"source\": 1, \"target\": 2}, {\"weight\": 4800, \"source\": 1, \"target\": 5}, {\"weight\": 6584, \"source\": 1, \"target\": 8}, {\"weight\": 8153, \"source\": 2, \"target\": 7}, {\"weight\": 14328, \"source\": 2, \"target\": 4}, {\"weight\": 8645, \"source\": 2, \"target\": 6}, {\"weight\": 16387, \"source\": 2, \"target\": 3}, {\"weight\": 10619, \"source\": 2, \"target\": 5}, {\"weight\": 1751, \"source\": 2, \"target\": 8}, {\"weight\": 16872, \"source\": 3, \"target\": 7}, {\"weight\": 12411, \"source\": 3, \"target\": 4}, {\"weight\": 15635, \"source\": 3, \"target\": 6}, {\"weight\": 16207, \"source\": 3, \"target\": 5}, {\"weight\": 16233, \"source\": 3, \"target\": 8}, {\"weight\": 6866, \"source\": 4, \"target\": 7}, {\"weight\": 6782, \"source\": 4, \"target\": 6}, {\"weight\": 3929, \"source\": 4, \"target\": 5}, {\"weight\": 13811, \"source\": 4, \"target\": 8}, {\"weight\": 3600, \"source\": 5, \"target\": 7}, {\"weight\": 4519, \"source\": 5, \"target\": 6}, {\"weight\": 10084, \"source\": 5, \"target\": 8}, {\"weight\": 2019, \"source\": 6, \"target\": 7}, {\"weight\": 8412, \"source\": 6, \"target\": 8}, {\"weight\": 7082, \"source\": 7, \"target\": 8}]}",
"id": 482,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TAM, LGL, XTG, GJA, EBL, HBX, AEB, SGN, MYA\n- Travel distances (in kilometers) between each pair of airports:\nTAM to SGN: 15510\nTAM to EBL: 12438\nTAM to AEB: 14365\nTAM to LGL: 15706\nTAM to GJA: 1849\nTAM to XTG: 14921\nTAM to HBX: 15971\nTAM to MYA: 14767\nLGL to SGN: 2413\nLGL to EBL: 8340\nLGL to AEB: 3061\nLGL to GJA: 17208\nLGL to XTG: 7456\nLGL to HBX: 4800\nLGL to MYA: 6584\nXTG to SGN: 8153\nXTG to EBL: 14328\nXTG to AEB: 8645\nXTG to GJA: 16387\nXTG to HBX: 10619\nXTG to MYA: 1751\nGJA to SGN: 16872\nGJA to EBL: 12411\nGJA to AEB: 15635\nGJA to HBX: 16207\nGJA to MYA: 16233\nEBL to SGN: 6866\nEBL to AEB: 6782\nEBL to HBX: 3929\nEBL to MYA: 13811\nHBX to SGN: 3600\nHBX to AEB: 4519\nHBX to MYA: 10084\nAEB to SGN: 2019\nAEB to MYA: 8412\nSGN to MYA: 7082\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZO, MBL, OZH, KAW, ATH, STS, JKR, ORV, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nIZO to ATH: 10311\nIZO to KAW: 6233\nIZO to ORV: 11608\nIZO to STS: 9329\nIZO to NSQ: 13654\nIZO to OZH: 9339\nIZO to MBL: 11348\nIZO to JKR: 5922\nMBL to ATH: 9132\nMBL to KAW: 15395\nMBL to ORV: 5852\nMBL to STS: 3756\nMBL to NSQ: 7726\nMBL to OZH: 9047\nMBL to JKR: 13613\nOZH to ATH: 1930\nOZH to KAW: 8377\nOZH to ORV: 12950\nOZH to STS: 10671\nOZH to NSQ: 6106\nOZH to JKR: 6139\nKAW to ATH: 8175\nKAW to ORV: 16032\nKAW to STS: 13753\nKAW to NSQ: 13273\nKAW to JKR: 2596\nATH to ORV: 13285\nATH to STS: 10995\nATH to NSQ: 6397\nATH to JKR: 5937\nSTS to ORV: 4211\nSTS to NSQ: 9350\nSTS to JKR: 12990\nJKR to ORV: 15269\nJKR to NSQ: 11035\nORV to NSQ: 11629\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49920,
"style": "rule"
}
|
{
"exact_answer": 49920,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IZO\", \"id\": 0}, {\"name\": \"MBL\", \"id\": 1}, {\"name\": \"OZH\", \"id\": 2}, {\"name\": \"KAW\", \"id\": 3}, {\"name\": \"ATH\", \"id\": 4}, {\"name\": \"STS\", \"id\": 5}, {\"name\": \"JKR\", \"id\": 6}, {\"name\": \"ORV\", \"id\": 7}, {\"name\": \"NSQ\", \"id\": 8}], \"links\": [{\"weight\": 10311, \"source\": 0, \"target\": 4}, {\"weight\": 6233, \"source\": 0, \"target\": 3}, {\"weight\": 11608, \"source\": 0, \"target\": 7}, {\"weight\": 9329, \"source\": 0, \"target\": 5}, {\"weight\": 13654, \"source\": 0, \"target\": 8}, {\"weight\": 9339, \"source\": 0, \"target\": 2}, {\"weight\": 11348, \"source\": 0, \"target\": 1}, {\"weight\": 5922, \"source\": 0, \"target\": 6}, {\"weight\": 9132, \"source\": 1, \"target\": 4}, {\"weight\": 15395, \"source\": 1, \"target\": 3}, {\"weight\": 5852, \"source\": 1, \"target\": 7}, {\"weight\": 3756, \"source\": 1, \"target\": 5}, {\"weight\": 7726, \"source\": 1, \"target\": 8}, {\"weight\": 9047, \"source\": 1, \"target\": 2}, {\"weight\": 13613, \"source\": 1, \"target\": 6}, {\"weight\": 1930, \"source\": 2, \"target\": 4}, {\"weight\": 8377, \"source\": 2, \"target\": 3}, {\"weight\": 12950, \"source\": 2, \"target\": 7}, {\"weight\": 10671, \"source\": 2, \"target\": 5}, {\"weight\": 6106, \"source\": 2, \"target\": 8}, {\"weight\": 6139, \"source\": 2, \"target\": 6}, {\"weight\": 8175, \"source\": 3, \"target\": 4}, {\"weight\": 16032, \"source\": 3, \"target\": 7}, {\"weight\": 13753, \"source\": 3, \"target\": 5}, {\"weight\": 13273, \"source\": 3, \"target\": 8}, {\"weight\": 2596, \"source\": 3, \"target\": 6}, {\"weight\": 13285, \"source\": 4, \"target\": 7}, {\"weight\": 10995, \"source\": 4, \"target\": 5}, {\"weight\": 6397, \"source\": 4, \"target\": 8}, {\"weight\": 5937, \"source\": 4, \"target\": 6}, {\"weight\": 4211, \"source\": 5, \"target\": 7}, {\"weight\": 9350, \"source\": 5, \"target\": 8}, {\"weight\": 12990, \"source\": 5, \"target\": 6}, {\"weight\": 15269, \"source\": 6, \"target\": 7}, {\"weight\": 11035, \"source\": 6, \"target\": 8}, {\"weight\": 11629, \"source\": 7, \"target\": 8}]}",
"id": 483,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IZO, MBL, OZH, KAW, ATH, STS, JKR, ORV, NSQ\n- Travel distances (in kilometers) between each pair of airports:\nIZO to ATH: 10311\nIZO to KAW: 6233\nIZO to ORV: 11608\nIZO to STS: 9329\nIZO to NSQ: 13654\nIZO to OZH: 9339\nIZO to MBL: 11348\nIZO to JKR: 5922\nMBL to ATH: 9132\nMBL to KAW: 15395\nMBL to ORV: 5852\nMBL to STS: 3756\nMBL to NSQ: 7726\nMBL to OZH: 9047\nMBL to JKR: 13613\nOZH to ATH: 1930\nOZH to KAW: 8377\nOZH to ORV: 12950\nOZH to STS: 10671\nOZH to NSQ: 6106\nOZH to JKR: 6139\nKAW to ATH: 8175\nKAW to ORV: 16032\nKAW to STS: 13753\nKAW to NSQ: 13273\nKAW to JKR: 2596\nATH to ORV: 13285\nATH to STS: 10995\nATH to NSQ: 6397\nATH to JKR: 5937\nSTS to ORV: 4211\nSTS to NSQ: 9350\nSTS to JKR: 12990\nJKR to ORV: 15269\nJKR to NSQ: 11035\nORV to NSQ: 11629\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CCF, DKR, YAT, BEY, OLH, KNU, SYB, ISC, OUL\n- Travel distances (in kilometers) between each pair of airports:\nCCF to DKR: 4000\nCCF to OLH: 11459\nCCF to SYB: 11441\nCCF to BEY: 3946\nCCF to KNU: 7707\nCCF to OUL: 2853\nCCF to ISC: 1691\nCCF to YAT: 7597\nDKR to OLH: 12294\nDKR to SYB: 12276\nDKR to BEY: 5989\nDKR to KNU: 10198\nDKR to OUL: 6462\nDKR to ISC: 4547\nDKR to YAT: 7659\nYAT to OLH: 6436\nYAT to SYB: 6418\nYAT to BEY: 9848\nYAT to KNU: 13151\nYAT to OUL: 8100\nYAT to ISC: 6856\nBEY to OLH: 13751\nBEY to SYB: 13733\nBEY to KNU: 4395\nBEY to OUL: 3557\nBEY to ISC: 3878\nOLH to SYB: 132\nOLH to KNU: 15691\nOLH to OUL: 11459\nOLH to ISC: 10752\nKNU to SYB: 15673\nKNU to OUL: 6134\nKNU to ISC: 7575\nSYB to OUL: 11441\nSYB to ISC: 10734\nISC to OUL: 2597\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45766,
"style": "rule"
}
|
{
"exact_answer": 45766,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CCF\", \"id\": 0}, {\"name\": \"DKR\", \"id\": 1}, {\"name\": \"YAT\", \"id\": 2}, {\"name\": \"BEY\", \"id\": 3}, {\"name\": \"OLH\", \"id\": 4}, {\"name\": \"KNU\", \"id\": 5}, {\"name\": \"SYB\", \"id\": 6}, {\"name\": \"ISC\", \"id\": 7}, {\"name\": \"OUL\", \"id\": 8}], \"links\": [{\"weight\": 4000, \"source\": 0, \"target\": 1}, {\"weight\": 11459, \"source\": 0, \"target\": 4}, {\"weight\": 11441, \"source\": 0, \"target\": 6}, {\"weight\": 3946, \"source\": 0, \"target\": 3}, {\"weight\": 7707, \"source\": 0, \"target\": 5}, {\"weight\": 2853, \"source\": 0, \"target\": 8}, {\"weight\": 1691, \"source\": 0, \"target\": 7}, {\"weight\": 7597, \"source\": 0, \"target\": 2}, {\"weight\": 12294, \"source\": 1, \"target\": 4}, {\"weight\": 12276, \"source\": 1, \"target\": 6}, {\"weight\": 5989, \"source\": 1, \"target\": 3}, {\"weight\": 10198, \"source\": 1, \"target\": 5}, {\"weight\": 6462, \"source\": 1, \"target\": 8}, {\"weight\": 4547, \"source\": 1, \"target\": 7}, {\"weight\": 7659, \"source\": 1, \"target\": 2}, {\"weight\": 6436, \"source\": 2, \"target\": 4}, {\"weight\": 6418, \"source\": 2, \"target\": 6}, {\"weight\": 9848, \"source\": 2, \"target\": 3}, {\"weight\": 13151, \"source\": 2, \"target\": 5}, {\"weight\": 8100, \"source\": 2, \"target\": 8}, {\"weight\": 6856, \"source\": 2, \"target\": 7}, {\"weight\": 13751, \"source\": 3, \"target\": 4}, {\"weight\": 13733, \"source\": 3, \"target\": 6}, {\"weight\": 4395, \"source\": 3, \"target\": 5}, {\"weight\": 3557, \"source\": 3, \"target\": 8}, {\"weight\": 3878, \"source\": 3, \"target\": 7}, {\"weight\": 132, \"source\": 4, \"target\": 6}, {\"weight\": 15691, \"source\": 4, \"target\": 5}, {\"weight\": 11459, \"source\": 4, \"target\": 8}, {\"weight\": 10752, \"source\": 4, \"target\": 7}, {\"weight\": 15673, \"source\": 5, \"target\": 6}, {\"weight\": 6134, \"source\": 5, \"target\": 8}, {\"weight\": 7575, \"source\": 5, \"target\": 7}, {\"weight\": 11441, \"source\": 6, \"target\": 8}, {\"weight\": 10734, \"source\": 6, \"target\": 7}, {\"weight\": 2597, \"source\": 7, \"target\": 8}]}",
"id": 484,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CCF, DKR, YAT, BEY, OLH, KNU, SYB, ISC, OUL\n- Travel distances (in kilometers) between each pair of airports:\nCCF to DKR: 4000\nCCF to OLH: 11459\nCCF to SYB: 11441\nCCF to BEY: 3946\nCCF to KNU: 7707\nCCF to OUL: 2853\nCCF to ISC: 1691\nCCF to YAT: 7597\nDKR to OLH: 12294\nDKR to SYB: 12276\nDKR to BEY: 5989\nDKR to KNU: 10198\nDKR to OUL: 6462\nDKR to ISC: 4547\nDKR to YAT: 7659\nYAT to OLH: 6436\nYAT to SYB: 6418\nYAT to BEY: 9848\nYAT to KNU: 13151\nYAT to OUL: 8100\nYAT to ISC: 6856\nBEY to OLH: 13751\nBEY to SYB: 13733\nBEY to KNU: 4395\nBEY to OUL: 3557\nBEY to ISC: 3878\nOLH to SYB: 132\nOLH to KNU: 15691\nOLH to OUL: 11459\nOLH to ISC: 10752\nKNU to SYB: 15673\nKNU to OUL: 6134\nKNU to ISC: 7575\nSYB to OUL: 11441\nSYB to ISC: 10734\nISC to OUL: 2597\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGF, RHI, MPL, ADQ, GRP, GHT, FLA, CBB, LGK\n- Travel distances (in kilometers) between each pair of airports:\nKGF to ADQ: 14206\nKGF to MPL: 5225\nKGF to FLA: 13665\nKGF to CBB: 15123\nKGF to LGK: 5819\nKGF to RHI: 11227\nKGF to GHT: 6370\nKGF to GRP: 14131\nRHI to ADQ: 4753\nRHI to MPL: 7692\nRHI to FLA: 5532\nRHI to CBB: 7835\nRHI to LGK: 15301\nRHI to GHT: 9988\nRHI to GRP: 8975\nMPL to ADQ: 11374\nMPL to FLA: 9392\nMPL to CBB: 10404\nMPL to LGK: 10483\nMPL to GHT: 2609\nMPL to GRP: 8947\nADQ to FLA: 9614\nADQ to CBB: 11917\nADQ to LGK: 15686\nADQ to GHT: 13684\nADQ to GRP: 13118\nGRP to FLA: 5778\nGRP to CBB: 3493\nGRP to LGK: 17740\nGRP to GHT: 10252\nGHT to FLA: 10836\nGHT to CBB: 11848\nGHT to LGK: 10483\nFLA to CBB: 3063\nFLA to LGK: 19265\nCBB to LGK: 18559\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56272,
"style": "rule"
}
|
{
"exact_answer": 56272,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KGF\", \"id\": 0}, {\"name\": \"RHI\", \"id\": 1}, {\"name\": \"MPL\", \"id\": 2}, {\"name\": \"ADQ\", \"id\": 3}, {\"name\": \"GRP\", \"id\": 4}, {\"name\": \"GHT\", \"id\": 5}, {\"name\": \"FLA\", \"id\": 6}, {\"name\": \"CBB\", \"id\": 7}, {\"name\": \"LGK\", \"id\": 8}], \"links\": [{\"weight\": 14206, \"source\": 0, \"target\": 3}, {\"weight\": 5225, \"source\": 0, \"target\": 2}, {\"weight\": 13665, \"source\": 0, \"target\": 6}, {\"weight\": 15123, \"source\": 0, \"target\": 7}, {\"weight\": 5819, \"source\": 0, \"target\": 8}, {\"weight\": 11227, \"source\": 0, \"target\": 1}, {\"weight\": 6370, \"source\": 0, \"target\": 5}, {\"weight\": 14131, \"source\": 0, \"target\": 4}, {\"weight\": 4753, \"source\": 1, \"target\": 3}, {\"weight\": 7692, \"source\": 1, \"target\": 2}, {\"weight\": 5532, \"source\": 1, \"target\": 6}, {\"weight\": 7835, \"source\": 1, \"target\": 7}, {\"weight\": 15301, \"source\": 1, \"target\": 8}, {\"weight\": 9988, \"source\": 1, \"target\": 5}, {\"weight\": 8975, \"source\": 1, \"target\": 4}, {\"weight\": 11374, \"source\": 2, \"target\": 3}, {\"weight\": 9392, \"source\": 2, \"target\": 6}, {\"weight\": 10404, \"source\": 2, \"target\": 7}, {\"weight\": 10483, \"source\": 2, \"target\": 8}, {\"weight\": 2609, \"source\": 2, \"target\": 5}, {\"weight\": 8947, \"source\": 2, \"target\": 4}, {\"weight\": 9614, \"source\": 3, \"target\": 6}, {\"weight\": 11917, \"source\": 3, \"target\": 7}, {\"weight\": 15686, \"source\": 3, \"target\": 8}, {\"weight\": 13684, \"source\": 3, \"target\": 5}, {\"weight\": 13118, \"source\": 3, \"target\": 4}, {\"weight\": 5778, \"source\": 4, \"target\": 6}, {\"weight\": 3493, \"source\": 4, \"target\": 7}, {\"weight\": 17740, \"source\": 4, \"target\": 8}, {\"weight\": 10252, \"source\": 4, \"target\": 5}, {\"weight\": 10836, \"source\": 5, \"target\": 6}, {\"weight\": 11848, \"source\": 5, \"target\": 7}, {\"weight\": 10483, \"source\": 5, \"target\": 8}, {\"weight\": 3063, \"source\": 6, \"target\": 7}, {\"weight\": 19265, \"source\": 6, \"target\": 8}, {\"weight\": 18559, \"source\": 7, \"target\": 8}]}",
"id": 485,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGF, RHI, MPL, ADQ, GRP, GHT, FLA, CBB, LGK\n- Travel distances (in kilometers) between each pair of airports:\nKGF to ADQ: 14206\nKGF to MPL: 5225\nKGF to FLA: 13665\nKGF to CBB: 15123\nKGF to LGK: 5819\nKGF to RHI: 11227\nKGF to GHT: 6370\nKGF to GRP: 14131\nRHI to ADQ: 4753\nRHI to MPL: 7692\nRHI to FLA: 5532\nRHI to CBB: 7835\nRHI to LGK: 15301\nRHI to GHT: 9988\nRHI to GRP: 8975\nMPL to ADQ: 11374\nMPL to FLA: 9392\nMPL to CBB: 10404\nMPL to LGK: 10483\nMPL to GHT: 2609\nMPL to GRP: 8947\nADQ to FLA: 9614\nADQ to CBB: 11917\nADQ to LGK: 15686\nADQ to GHT: 13684\nADQ to GRP: 13118\nGRP to FLA: 5778\nGRP to CBB: 3493\nGRP to LGK: 17740\nGRP to GHT: 10252\nGHT to FLA: 10836\nGHT to CBB: 11848\nGHT to LGK: 10483\nFLA to CBB: 3063\nFLA to LGK: 19265\nCBB to LGK: 18559\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, SKB, LJA, DPS, AAE, ZFM, YIO, YVQ, MMK\n- Travel distances (in kilometers) between each pair of airports:\nMFE to DPS: 16446\nMFE to MMK: 9699\nMFE to YIO: 6188\nMFE to YVQ: 5076\nMFE to ZFM: 5636\nMFE to SKB: 4102\nMFE to AAE: 9680\nMFE to LJA: 13706\nSKB to DPS: 19162\nSKB to MMK: 9506\nSKB to YIO: 6541\nSKB to YVQ: 7129\nSKB to ZFM: 7689\nSKB to AAE: 8208\nSKB to LJA: 12211\nLJA to DPS: 12725\nLJA to MMK: 9227\nLJA to YIO: 14670\nLJA to YVQ: 15362\nLJA to ZFM: 15922\nLJA to AAE: 6487\nDPS to MMK: 11505\nDPS to YIO: 18286\nDPS to YVQ: 15496\nDPS to ZFM: 16056\nDPS to AAE: 12216\nAAE to MMK: 4258\nAAE to YIO: 9111\nAAE to YVQ: 10262\nAAE to ZFM: 10822\nZFM to MMK: 10139\nZFM to YIO: 4708\nZFM to YVQ: 560\nYIO to MMK: 10168\nYIO to YVQ: 4148\nYVQ to MMK: 9579\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63539,
"style": "rule"
}
|
{
"exact_answer": 63539,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MFE\", \"id\": 0}, {\"name\": \"SKB\", \"id\": 1}, {\"name\": \"LJA\", \"id\": 2}, {\"name\": \"DPS\", \"id\": 3}, {\"name\": \"AAE\", \"id\": 4}, {\"name\": \"ZFM\", \"id\": 5}, {\"name\": \"YIO\", \"id\": 6}, {\"name\": \"YVQ\", \"id\": 7}, {\"name\": \"MMK\", \"id\": 8}], \"links\": [{\"weight\": 16446, \"source\": 0, \"target\": 3}, {\"weight\": 9699, \"source\": 0, \"target\": 8}, {\"weight\": 6188, \"source\": 0, \"target\": 6}, {\"weight\": 5076, \"source\": 0, \"target\": 7}, {\"weight\": 5636, \"source\": 0, \"target\": 5}, {\"weight\": 4102, \"source\": 0, \"target\": 1}, {\"weight\": 9680, \"source\": 0, \"target\": 4}, {\"weight\": 13706, \"source\": 0, \"target\": 2}, {\"weight\": 19162, \"source\": 1, \"target\": 3}, {\"weight\": 9506, \"source\": 1, \"target\": 8}, {\"weight\": 6541, \"source\": 1, \"target\": 6}, {\"weight\": 7129, \"source\": 1, \"target\": 7}, {\"weight\": 7689, \"source\": 1, \"target\": 5}, {\"weight\": 8208, \"source\": 1, \"target\": 4}, {\"weight\": 12211, \"source\": 1, \"target\": 2}, {\"weight\": 12725, \"source\": 2, \"target\": 3}, {\"weight\": 9227, \"source\": 2, \"target\": 8}, {\"weight\": 14670, \"source\": 2, \"target\": 6}, {\"weight\": 15362, \"source\": 2, \"target\": 7}, {\"weight\": 15922, \"source\": 2, \"target\": 5}, {\"weight\": 6487, \"source\": 2, \"target\": 4}, {\"weight\": 11505, \"source\": 3, \"target\": 8}, {\"weight\": 18286, \"source\": 3, \"target\": 6}, {\"weight\": 15496, \"source\": 3, \"target\": 7}, {\"weight\": 16056, \"source\": 3, \"target\": 5}, {\"weight\": 12216, \"source\": 3, \"target\": 4}, {\"weight\": 4258, \"source\": 4, \"target\": 8}, {\"weight\": 9111, \"source\": 4, \"target\": 6}, {\"weight\": 10262, \"source\": 4, \"target\": 7}, {\"weight\": 10822, \"source\": 4, \"target\": 5}, {\"weight\": 10139, \"source\": 5, \"target\": 8}, {\"weight\": 4708, \"source\": 5, \"target\": 6}, {\"weight\": 560, \"source\": 5, \"target\": 7}, {\"weight\": 10168, \"source\": 6, \"target\": 8}, {\"weight\": 4148, \"source\": 6, \"target\": 7}, {\"weight\": 9579, \"source\": 7, \"target\": 8}]}",
"id": 486,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFE, SKB, LJA, DPS, AAE, ZFM, YIO, YVQ, MMK\n- Travel distances (in kilometers) between each pair of airports:\nMFE to DPS: 16446\nMFE to MMK: 9699\nMFE to YIO: 6188\nMFE to YVQ: 5076\nMFE to ZFM: 5636\nMFE to SKB: 4102\nMFE to AAE: 9680\nMFE to LJA: 13706\nSKB to DPS: 19162\nSKB to MMK: 9506\nSKB to YIO: 6541\nSKB to YVQ: 7129\nSKB to ZFM: 7689\nSKB to AAE: 8208\nSKB to LJA: 12211\nLJA to DPS: 12725\nLJA to MMK: 9227\nLJA to YIO: 14670\nLJA to YVQ: 15362\nLJA to ZFM: 15922\nLJA to AAE: 6487\nDPS to MMK: 11505\nDPS to YIO: 18286\nDPS to YVQ: 15496\nDPS to ZFM: 16056\nDPS to AAE: 12216\nAAE to MMK: 4258\nAAE to YIO: 9111\nAAE to YVQ: 10262\nAAE to ZFM: 10822\nZFM to MMK: 10139\nZFM to YIO: 4708\nZFM to YVQ: 560\nYIO to MMK: 10168\nYIO to YVQ: 4148\nYVQ to MMK: 9579\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ZAD, MSA, VIX, CGD, GAJ, CVM, KLG, ATW\n- Travel distances (in kilometers) between each pair of airports:\nCBS to ZAD: 9057\nCBS to KLG: 9644\nCBS to CGD: 16178\nCBS to VIX: 5307\nCBS to ATW: 4803\nCBS to CVM: 4523\nCBS to GAJ: 15079\nCBS to MSA: 5906\nZAD to KLG: 11908\nZAD to CGD: 8562\nZAD to VIX: 9387\nZAD to ATW: 7959\nZAD to CVM: 10799\nZAD to GAJ: 10151\nZAD to MSA: 8690\nMSA to KLG: 5552\nMSA to CGD: 12434\nMSA to VIX: 9968\nMSA to ATW: 1772\nMSA to CVM: 4749\nMSA to GAJ: 10502\nVIX to KLG: 13723\nVIX to CGD: 17698\nVIX to ATW: 8902\nVIX to CVM: 8264\nVIX to GAJ: 18817\nCGD to KLG: 12876\nCGD to ATW: 12140\nCGD to CVM: 14230\nCGD to GAJ: 3064\nGAJ to KLG: 10910\nGAJ to ATW: 10562\nGAJ to CVM: 12107\nCVM to KLG: 7143\nCVM to ATW: 3450\nKLG to ATW: 4972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52527,
"style": "rule"
}
|
{
"exact_answer": 52527,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CBS\", \"id\": 0}, {\"name\": \"ZAD\", \"id\": 1}, {\"name\": \"MSA\", \"id\": 2}, {\"name\": \"VIX\", \"id\": 3}, {\"name\": \"CGD\", \"id\": 4}, {\"name\": \"GAJ\", \"id\": 5}, {\"name\": \"CVM\", \"id\": 6}, {\"name\": \"KLG\", \"id\": 7}, {\"name\": \"ATW\", \"id\": 8}], \"links\": [{\"weight\": 9057, \"source\": 0, \"target\": 1}, {\"weight\": 9644, \"source\": 0, \"target\": 7}, {\"weight\": 16178, \"source\": 0, \"target\": 4}, {\"weight\": 5307, \"source\": 0, \"target\": 3}, {\"weight\": 4803, \"source\": 0, \"target\": 8}, {\"weight\": 4523, \"source\": 0, \"target\": 6}, {\"weight\": 15079, \"source\": 0, \"target\": 5}, {\"weight\": 5906, \"source\": 0, \"target\": 2}, {\"weight\": 11908, \"source\": 1, \"target\": 7}, {\"weight\": 8562, \"source\": 1, \"target\": 4}, {\"weight\": 9387, \"source\": 1, \"target\": 3}, {\"weight\": 7959, \"source\": 1, \"target\": 8}, {\"weight\": 10799, \"source\": 1, \"target\": 6}, {\"weight\": 10151, \"source\": 1, \"target\": 5}, {\"weight\": 8690, \"source\": 1, \"target\": 2}, {\"weight\": 5552, \"source\": 2, \"target\": 7}, {\"weight\": 12434, \"source\": 2, \"target\": 4}, {\"weight\": 9968, \"source\": 2, \"target\": 3}, {\"weight\": 1772, \"source\": 2, \"target\": 8}, {\"weight\": 4749, \"source\": 2, \"target\": 6}, {\"weight\": 10502, \"source\": 2, \"target\": 5}, {\"weight\": 13723, \"source\": 3, \"target\": 7}, {\"weight\": 17698, \"source\": 3, \"target\": 4}, {\"weight\": 8902, \"source\": 3, \"target\": 8}, {\"weight\": 8264, \"source\": 3, \"target\": 6}, {\"weight\": 18817, \"source\": 3, \"target\": 5}, {\"weight\": 12876, \"source\": 4, \"target\": 7}, {\"weight\": 12140, \"source\": 4, \"target\": 8}, {\"weight\": 14230, \"source\": 4, \"target\": 6}, {\"weight\": 3064, \"source\": 4, \"target\": 5}, {\"weight\": 10910, \"source\": 5, \"target\": 7}, {\"weight\": 10562, \"source\": 5, \"target\": 8}, {\"weight\": 12107, \"source\": 5, \"target\": 6}, {\"weight\": 7143, \"source\": 6, \"target\": 7}, {\"weight\": 3450, \"source\": 6, \"target\": 8}, {\"weight\": 4972, \"source\": 7, \"target\": 8}]}",
"id": 487,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ZAD, MSA, VIX, CGD, GAJ, CVM, KLG, ATW\n- Travel distances (in kilometers) between each pair of airports:\nCBS to ZAD: 9057\nCBS to KLG: 9644\nCBS to CGD: 16178\nCBS to VIX: 5307\nCBS to ATW: 4803\nCBS to CVM: 4523\nCBS to GAJ: 15079\nCBS to MSA: 5906\nZAD to KLG: 11908\nZAD to CGD: 8562\nZAD to VIX: 9387\nZAD to ATW: 7959\nZAD to CVM: 10799\nZAD to GAJ: 10151\nZAD to MSA: 8690\nMSA to KLG: 5552\nMSA to CGD: 12434\nMSA to VIX: 9968\nMSA to ATW: 1772\nMSA to CVM: 4749\nMSA to GAJ: 10502\nVIX to KLG: 13723\nVIX to CGD: 17698\nVIX to ATW: 8902\nVIX to CVM: 8264\nVIX to GAJ: 18817\nCGD to KLG: 12876\nCGD to ATW: 12140\nCGD to CVM: 14230\nCGD to GAJ: 3064\nGAJ to KLG: 10910\nGAJ to ATW: 10562\nGAJ to CVM: 12107\nCVM to KLG: 7143\nCVM to ATW: 3450\nKLG to ATW: 4972\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, SPU, MCE, HSG, KXU, AEY, SKN, EGE, BFJ\n- Travel distances (in kilometers) between each pair of airports:\nERI to SPU: 7680\nERI to HSG: 11510\nERI to BFJ: 12671\nERI to AEY: 7714\nERI to EGE: 2256\nERI to KXU: 10430\nERI to SKN: 6869\nERI to MCE: 3856\nSPU to HSG: 9253\nSPU to BFJ: 8413\nSPU to AEY: 6402\nSPU to EGE: 9211\nSPU to KXU: 17242\nSPU to SKN: 2834\nSPU to MCE: 10668\nMCE to HSG: 10138\nMCE to BFJ: 12216\nMCE to AEY: 10602\nMCE to EGE: 1995\nMCE to KXU: 7408\nMCE to SKN: 9757\nHSG to BFJ: 2547\nHSG to AEY: 13146\nHSG to EGE: 10449\nHSG to KXU: 11354\nHSG to SKN: 9144\nKXU to BFJ: 13334\nKXU to AEY: 17176\nKXU to EGE: 8569\nKXU to SKN: 16331\nAEY to BFJ: 12542\nAEY to EGE: 8996\nAEY to SKN: 5309\nSKN to BFJ: 8530\nSKN to EGE: 8151\nEGE to BFJ: 12236\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49830,
"style": "rule"
}
|
{
"exact_answer": 49830,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERI\", \"id\": 0}, {\"name\": \"SPU\", \"id\": 1}, {\"name\": \"MCE\", \"id\": 2}, {\"name\": \"HSG\", \"id\": 3}, {\"name\": \"KXU\", \"id\": 4}, {\"name\": \"AEY\", \"id\": 5}, {\"name\": \"SKN\", \"id\": 6}, {\"name\": \"EGE\", \"id\": 7}, {\"name\": \"BFJ\", \"id\": 8}], \"links\": [{\"weight\": 7680, \"source\": 0, \"target\": 1}, {\"weight\": 11510, \"source\": 0, \"target\": 3}, {\"weight\": 12671, \"source\": 0, \"target\": 8}, {\"weight\": 7714, \"source\": 0, \"target\": 5}, {\"weight\": 2256, \"source\": 0, \"target\": 7}, {\"weight\": 10430, \"source\": 0, \"target\": 4}, {\"weight\": 6869, \"source\": 0, \"target\": 6}, {\"weight\": 3856, \"source\": 0, \"target\": 2}, {\"weight\": 9253, \"source\": 1, \"target\": 3}, {\"weight\": 8413, \"source\": 1, \"target\": 8}, {\"weight\": 6402, \"source\": 1, \"target\": 5}, {\"weight\": 9211, \"source\": 1, \"target\": 7}, {\"weight\": 17242, \"source\": 1, \"target\": 4}, {\"weight\": 2834, \"source\": 1, \"target\": 6}, {\"weight\": 10668, \"source\": 1, \"target\": 2}, {\"weight\": 10138, \"source\": 2, \"target\": 3}, {\"weight\": 12216, \"source\": 2, \"target\": 8}, {\"weight\": 10602, \"source\": 2, \"target\": 5}, {\"weight\": 1995, \"source\": 2, \"target\": 7}, {\"weight\": 7408, \"source\": 2, \"target\": 4}, {\"weight\": 9757, \"source\": 2, \"target\": 6}, {\"weight\": 2547, \"source\": 3, \"target\": 8}, {\"weight\": 13146, \"source\": 3, \"target\": 5}, {\"weight\": 10449, \"source\": 3, \"target\": 7}, {\"weight\": 11354, \"source\": 3, \"target\": 4}, {\"weight\": 9144, \"source\": 3, \"target\": 6}, {\"weight\": 13334, \"source\": 4, \"target\": 8}, {\"weight\": 17176, \"source\": 4, \"target\": 5}, {\"weight\": 8569, \"source\": 4, \"target\": 7}, {\"weight\": 16331, \"source\": 4, \"target\": 6}, {\"weight\": 12542, \"source\": 5, \"target\": 8}, {\"weight\": 8996, \"source\": 5, \"target\": 7}, {\"weight\": 5309, \"source\": 5, \"target\": 6}, {\"weight\": 8530, \"source\": 6, \"target\": 8}, {\"weight\": 8151, \"source\": 6, \"target\": 7}, {\"weight\": 12236, \"source\": 7, \"target\": 8}]}",
"id": 488,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, SPU, MCE, HSG, KXU, AEY, SKN, EGE, BFJ\n- Travel distances (in kilometers) between each pair of airports:\nERI to SPU: 7680\nERI to HSG: 11510\nERI to BFJ: 12671\nERI to AEY: 7714\nERI to EGE: 2256\nERI to KXU: 10430\nERI to SKN: 6869\nERI to MCE: 3856\nSPU to HSG: 9253\nSPU to BFJ: 8413\nSPU to AEY: 6402\nSPU to EGE: 9211\nSPU to KXU: 17242\nSPU to SKN: 2834\nSPU to MCE: 10668\nMCE to HSG: 10138\nMCE to BFJ: 12216\nMCE to AEY: 10602\nMCE to EGE: 1995\nMCE to KXU: 7408\nMCE to SKN: 9757\nHSG to BFJ: 2547\nHSG to AEY: 13146\nHSG to EGE: 10449\nHSG to KXU: 11354\nHSG to SKN: 9144\nKXU to BFJ: 13334\nKXU to AEY: 17176\nKXU to EGE: 8569\nKXU to SKN: 16331\nAEY to BFJ: 12542\nAEY to EGE: 8996\nAEY to SKN: 5309\nSKN to BFJ: 8530\nSKN to EGE: 8151\nEGE to BFJ: 12236\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AZI, MRE, KAA, KZO, KCA, GSM, GIL, FLW, DIY\n- Travel distances (in kilometers) between each pair of airports:\nAZI to DIY: 3453\nAZI to MRE: 3907\nAZI to GSM: 303\nAZI to KCA: 4177\nAZI to KZO: 3433\nAZI to KAA: 5681\nAZI to GIL: 2358\nAZI to FLW: 8148\nMRE to DIY: 5926\nMRE to GSM: 3952\nMRE to KCA: 7826\nMRE to KZO: 6779\nMRE to KAA: 2658\nMRE to GIL: 6005\nMRE to FLW: 9915\nKAA to DIY: 7322\nKAA to GSM: 5726\nKAA to KCA: 9600\nKAA to KZO: 8403\nKAA to GIL: 7776\nKAA to FLW: 9533\nKZO to DIY: 3656\nKZO to GSM: 3478\nKZO to KCA: 2206\nKZO to GIL: 2893\nKZO to FLW: 7919\nKCA to DIY: 5633\nKCA to GSM: 4066\nKCA to GIL: 2406\nKCA to FLW: 9677\nGSM to DIY: 3498\nGSM to GIL: 2403\nGSM to FLW: 8010\nGIL to DIY: 4559\nGIL to FLW: 9229\nFLW to DIY: 6102\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 33174,
"style": "rule"
}
|
{
"exact_answer": 33174,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AZI\", \"id\": 0}, {\"name\": \"MRE\", \"id\": 1}, {\"name\": \"KAA\", \"id\": 2}, {\"name\": \"KZO\", \"id\": 3}, {\"name\": \"KCA\", \"id\": 4}, {\"name\": \"GSM\", \"id\": 5}, {\"name\": \"GIL\", \"id\": 6}, {\"name\": \"FLW\", \"id\": 7}, {\"name\": \"DIY\", \"id\": 8}], \"links\": [{\"weight\": 3453, \"source\": 0, \"target\": 8}, {\"weight\": 3907, \"source\": 0, \"target\": 1}, {\"weight\": 303, \"source\": 0, \"target\": 5}, {\"weight\": 4177, \"source\": 0, \"target\": 4}, {\"weight\": 3433, \"source\": 0, \"target\": 3}, {\"weight\": 5681, \"source\": 0, \"target\": 2}, {\"weight\": 2358, \"source\": 0, \"target\": 6}, {\"weight\": 8148, \"source\": 0, \"target\": 7}, {\"weight\": 5926, \"source\": 1, \"target\": 8}, {\"weight\": 3952, \"source\": 1, \"target\": 5}, {\"weight\": 7826, \"source\": 1, \"target\": 4}, {\"weight\": 6779, \"source\": 1, \"target\": 3}, {\"weight\": 2658, \"source\": 1, \"target\": 2}, {\"weight\": 6005, \"source\": 1, \"target\": 6}, {\"weight\": 9915, \"source\": 1, \"target\": 7}, {\"weight\": 7322, \"source\": 2, \"target\": 8}, {\"weight\": 5726, \"source\": 2, \"target\": 5}, {\"weight\": 9600, \"source\": 2, \"target\": 4}, {\"weight\": 8403, \"source\": 2, \"target\": 3}, {\"weight\": 7776, \"source\": 2, \"target\": 6}, {\"weight\": 9533, \"source\": 2, \"target\": 7}, {\"weight\": 3656, \"source\": 3, \"target\": 8}, {\"weight\": 3478, \"source\": 3, \"target\": 5}, {\"weight\": 2206, \"source\": 3, \"target\": 4}, {\"weight\": 2893, \"source\": 3, \"target\": 6}, {\"weight\": 7919, \"source\": 3, \"target\": 7}, {\"weight\": 5633, \"source\": 4, \"target\": 8}, {\"weight\": 4066, \"source\": 4, \"target\": 5}, {\"weight\": 2406, \"source\": 4, \"target\": 6}, {\"weight\": 9677, \"source\": 4, \"target\": 7}, {\"weight\": 3498, \"source\": 5, \"target\": 8}, {\"weight\": 2403, \"source\": 5, \"target\": 6}, {\"weight\": 8010, \"source\": 5, \"target\": 7}, {\"weight\": 4559, \"source\": 6, \"target\": 8}, {\"weight\": 9229, \"source\": 6, \"target\": 7}, {\"weight\": 6102, \"source\": 7, \"target\": 8}]}",
"id": 489,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AZI, MRE, KAA, KZO, KCA, GSM, GIL, FLW, DIY\n- Travel distances (in kilometers) between each pair of airports:\nAZI to DIY: 3453\nAZI to MRE: 3907\nAZI to GSM: 303\nAZI to KCA: 4177\nAZI to KZO: 3433\nAZI to KAA: 5681\nAZI to GIL: 2358\nAZI to FLW: 8148\nMRE to DIY: 5926\nMRE to GSM: 3952\nMRE to KCA: 7826\nMRE to KZO: 6779\nMRE to KAA: 2658\nMRE to GIL: 6005\nMRE to FLW: 9915\nKAA to DIY: 7322\nKAA to GSM: 5726\nKAA to KCA: 9600\nKAA to KZO: 8403\nKAA to GIL: 7776\nKAA to FLW: 9533\nKZO to DIY: 3656\nKZO to GSM: 3478\nKZO to KCA: 2206\nKZO to GIL: 2893\nKZO to FLW: 7919\nKCA to DIY: 5633\nKCA to GSM: 4066\nKCA to GIL: 2406\nKCA to FLW: 9677\nGSM to DIY: 3498\nGSM to GIL: 2403\nGSM to FLW: 8010\nGIL to DIY: 4559\nGIL to FLW: 9229\nFLW to DIY: 6102\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROI, JED, GET, MCY, KOA, TOY, MGT, CYF, MXP\n- Travel distances (in kilometers) between each pair of airports:\nROI to JED: 7022\nROI to MXP: 9502\nROI to CYF: 15526\nROI to KOA: 11316\nROI to TOY: 4866\nROI to MCY: 8841\nROI to GET: 6142\nROI to MGT: 5608\nJED to MXP: 3833\nJED to CYF: 15422\nJED to KOA: 15865\nJED to TOY: 9298\nJED to MCY: 14326\nJED to GET: 11027\nJED to MGT: 11136\nGET to MXP: 14117\nGET to CYF: 16792\nGET to KOA: 11790\nGET to TOY: 8755\nGET to MCY: 4482\nGET to MGT: 3458\nMCY to MXP: 17430\nMCY to CYF: 14270\nMCY to KOA: 9268\nMCY to TOY: 9237\nMCY to MGT: 4427\nKOA to MXP: 12888\nKOA to CYF: 5526\nKOA to TOY: 6715\nKOA to MGT: 11101\nTOY to MXP: 9833\nTOY to CYF: 11088\nTOY to MGT: 6785\nMGT to MXP: 14085\nMGT to CYF: 16103\nCYF to MXP: 11733\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56665,
"style": "rule"
}
|
{
"exact_answer": 56665,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROI\", \"id\": 0}, {\"name\": \"JED\", \"id\": 1}, {\"name\": \"GET\", \"id\": 2}, {\"name\": \"MCY\", \"id\": 3}, {\"name\": \"KOA\", \"id\": 4}, {\"name\": \"TOY\", \"id\": 5}, {\"name\": \"MGT\", \"id\": 6}, {\"name\": \"CYF\", \"id\": 7}, {\"name\": \"MXP\", \"id\": 8}], \"links\": [{\"weight\": 7022, \"source\": 0, \"target\": 1}, {\"weight\": 9502, \"source\": 0, \"target\": 8}, {\"weight\": 15526, \"source\": 0, \"target\": 7}, {\"weight\": 11316, \"source\": 0, \"target\": 4}, {\"weight\": 4866, \"source\": 0, \"target\": 5}, {\"weight\": 8841, \"source\": 0, \"target\": 3}, {\"weight\": 6142, \"source\": 0, \"target\": 2}, {\"weight\": 5608, \"source\": 0, \"target\": 6}, {\"weight\": 3833, \"source\": 1, \"target\": 8}, {\"weight\": 15422, \"source\": 1, \"target\": 7}, {\"weight\": 15865, \"source\": 1, \"target\": 4}, {\"weight\": 9298, \"source\": 1, \"target\": 5}, {\"weight\": 14326, \"source\": 1, \"target\": 3}, {\"weight\": 11027, \"source\": 1, \"target\": 2}, {\"weight\": 11136, \"source\": 1, \"target\": 6}, {\"weight\": 14117, \"source\": 2, \"target\": 8}, {\"weight\": 16792, \"source\": 2, \"target\": 7}, {\"weight\": 11790, \"source\": 2, \"target\": 4}, {\"weight\": 8755, \"source\": 2, \"target\": 5}, {\"weight\": 4482, \"source\": 2, \"target\": 3}, {\"weight\": 3458, \"source\": 2, \"target\": 6}, {\"weight\": 17430, \"source\": 3, \"target\": 8}, {\"weight\": 14270, \"source\": 3, \"target\": 7}, {\"weight\": 9268, \"source\": 3, \"target\": 4}, {\"weight\": 9237, \"source\": 3, \"target\": 5}, {\"weight\": 4427, \"source\": 3, \"target\": 6}, {\"weight\": 12888, \"source\": 4, \"target\": 8}, {\"weight\": 5526, \"source\": 4, \"target\": 7}, {\"weight\": 6715, \"source\": 4, \"target\": 5}, {\"weight\": 11101, \"source\": 4, \"target\": 6}, {\"weight\": 9833, \"source\": 5, \"target\": 8}, {\"weight\": 11088, \"source\": 5, \"target\": 7}, {\"weight\": 6785, \"source\": 5, \"target\": 6}, {\"weight\": 14085, \"source\": 6, \"target\": 8}, {\"weight\": 16103, \"source\": 6, \"target\": 7}, {\"weight\": 11733, \"source\": 7, \"target\": 8}]}",
"id": 490,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ROI, JED, GET, MCY, KOA, TOY, MGT, CYF, MXP\n- Travel distances (in kilometers) between each pair of airports:\nROI to JED: 7022\nROI to MXP: 9502\nROI to CYF: 15526\nROI to KOA: 11316\nROI to TOY: 4866\nROI to MCY: 8841\nROI to GET: 6142\nROI to MGT: 5608\nJED to MXP: 3833\nJED to CYF: 15422\nJED to KOA: 15865\nJED to TOY: 9298\nJED to MCY: 14326\nJED to GET: 11027\nJED to MGT: 11136\nGET to MXP: 14117\nGET to CYF: 16792\nGET to KOA: 11790\nGET to TOY: 8755\nGET to MCY: 4482\nGET to MGT: 3458\nMCY to MXP: 17430\nMCY to CYF: 14270\nMCY to KOA: 9268\nMCY to TOY: 9237\nMCY to MGT: 4427\nKOA to MXP: 12888\nKOA to CYF: 5526\nKOA to TOY: 6715\nKOA to MGT: 11101\nTOY to MXP: 9833\nTOY to CYF: 11088\nTOY to MGT: 6785\nMGT to MXP: 14085\nMGT to CYF: 16103\nCYF to MXP: 11733\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SXB, FLG, NNB, MAD, HKG, KBU, TUI, SGF, CUZ\n- Travel distances (in kilometers) between each pair of airports:\nSXB to MAD: 1259\nSXB to CUZ: 11247\nSXB to HKG: 9305\nSXB to SGF: 7714\nSXB to FLG: 9350\nSXB to NNB: 16083\nSXB to KBU: 12185\nSXB to TUI: 5467\nFLG to CUZ: 7037\nFLG to HKG: 12339\nFLG to MAD: 9250\nFLG to SGF: 2171\nFLG to NNB: 12077\nFLG to KBU: 15009\nFLG to TUI: 14539\nNNB to CUZ: 15925\nNNB to HKG: 6778\nNNB to MAD: 17284\nNNB to SGF: 13613\nNNB to KBU: 6200\nNNB to TUI: 14402\nMAD to CUZ: 9988\nMAD to HKG: 10506\nMAD to SGF: 7450\nMAD to KBU: 13133\nMAD to TUI: 6019\nHKG to CUZ: 18969\nHKG to SGF: 13079\nHKG to KBU: 3281\nHKG to TUI: 7860\nKBU to CUZ: 19373\nKBU to SGF: 15904\nKBU to TUI: 9417\nTUI to CUZ: 15402\nTUI to SGF: 13030\nSGF to CUZ: 6594\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54897,
"style": "rule"
}
|
{
"exact_answer": 54897,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SXB\", \"id\": 0}, {\"name\": \"FLG\", \"id\": 1}, {\"name\": \"NNB\", \"id\": 2}, {\"name\": \"MAD\", \"id\": 3}, {\"name\": \"HKG\", \"id\": 4}, {\"name\": \"KBU\", \"id\": 5}, {\"name\": \"TUI\", \"id\": 6}, {\"name\": \"SGF\", \"id\": 7}, {\"name\": \"CUZ\", \"id\": 8}], \"links\": [{\"weight\": 1259, \"source\": 0, \"target\": 3}, {\"weight\": 11247, \"source\": 0, \"target\": 8}, {\"weight\": 9305, \"source\": 0, \"target\": 4}, {\"weight\": 7714, \"source\": 0, \"target\": 7}, {\"weight\": 9350, \"source\": 0, \"target\": 1}, {\"weight\": 16083, \"source\": 0, \"target\": 2}, {\"weight\": 12185, \"source\": 0, \"target\": 5}, {\"weight\": 5467, \"source\": 0, \"target\": 6}, {\"weight\": 7037, \"source\": 1, \"target\": 8}, {\"weight\": 12339, \"source\": 1, \"target\": 4}, {\"weight\": 9250, \"source\": 1, \"target\": 3}, {\"weight\": 2171, \"source\": 1, \"target\": 7}, {\"weight\": 12077, \"source\": 1, \"target\": 2}, {\"weight\": 15009, \"source\": 1, \"target\": 5}, {\"weight\": 14539, \"source\": 1, \"target\": 6}, {\"weight\": 15925, \"source\": 2, \"target\": 8}, {\"weight\": 6778, \"source\": 2, \"target\": 4}, {\"weight\": 17284, \"source\": 2, \"target\": 3}, {\"weight\": 13613, \"source\": 2, \"target\": 7}, {\"weight\": 6200, \"source\": 2, \"target\": 5}, {\"weight\": 14402, \"source\": 2, \"target\": 6}, {\"weight\": 9988, \"source\": 3, \"target\": 8}, {\"weight\": 10506, \"source\": 3, \"target\": 4}, {\"weight\": 7450, \"source\": 3, \"target\": 7}, {\"weight\": 13133, \"source\": 3, \"target\": 5}, {\"weight\": 6019, \"source\": 3, \"target\": 6}, {\"weight\": 18969, \"source\": 4, \"target\": 8}, {\"weight\": 13079, \"source\": 4, \"target\": 7}, {\"weight\": 3281, \"source\": 4, \"target\": 5}, {\"weight\": 7860, \"source\": 4, \"target\": 6}, {\"weight\": 19373, \"source\": 5, \"target\": 8}, {\"weight\": 15904, \"source\": 5, \"target\": 7}, {\"weight\": 9417, \"source\": 5, \"target\": 6}, {\"weight\": 15402, \"source\": 6, \"target\": 8}, {\"weight\": 13030, \"source\": 6, \"target\": 7}, {\"weight\": 6594, \"source\": 7, \"target\": 8}]}",
"id": 491,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SXB, FLG, NNB, MAD, HKG, KBU, TUI, SGF, CUZ\n- Travel distances (in kilometers) between each pair of airports:\nSXB to MAD: 1259\nSXB to CUZ: 11247\nSXB to HKG: 9305\nSXB to SGF: 7714\nSXB to FLG: 9350\nSXB to NNB: 16083\nSXB to KBU: 12185\nSXB to TUI: 5467\nFLG to CUZ: 7037\nFLG to HKG: 12339\nFLG to MAD: 9250\nFLG to SGF: 2171\nFLG to NNB: 12077\nFLG to KBU: 15009\nFLG to TUI: 14539\nNNB to CUZ: 15925\nNNB to HKG: 6778\nNNB to MAD: 17284\nNNB to SGF: 13613\nNNB to KBU: 6200\nNNB to TUI: 14402\nMAD to CUZ: 9988\nMAD to HKG: 10506\nMAD to SGF: 7450\nMAD to KBU: 13133\nMAD to TUI: 6019\nHKG to CUZ: 18969\nHKG to SGF: 13079\nHKG to KBU: 3281\nHKG to TUI: 7860\nKBU to CUZ: 19373\nKBU to SGF: 15904\nKBU to TUI: 9417\nTUI to CUZ: 15402\nTUI to SGF: 13030\nSGF to CUZ: 6594\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DEC, NNY, SLU, SGO, NAY, HUI, TSF, KHV, PNH\n- Travel distances (in kilometers) between each pair of airports:\nDEC to PNH: 14189\nDEC to TSF: 7727\nDEC to SLU: 4191\nDEC to KHV: 11805\nDEC to NNY: 11681\nDEC to NAY: 11313\nDEC to SGO: 14715\nDEC to HUI: 13717\nNNY to NAY: 841\nNNY to PNH: 2659\nNNY to TSF: 8555\nNNY to SLU: 15057\nNNY to KHV: 2561\nNNY to SGO: 8587\nNNY to HUI: 2448\nSLU to PNH: 16881\nSLU to TSF: 7997\nSLU to KHV: 15368\nSLU to NAY: 14689\nSLU to SGO: 18041\nSLU to HUI: 16660\nSGO to PNH: 7729\nSGO to TSF: 16535\nSGO to KHV: 9097\nSGO to NAY: 8931\nSGO to HUI: 8315\nNAY to PNH: 3417\nNAY to TSF: 8273\nNAY to KHV: 1777\nNAY to HUI: 2999\nHUI to PNH: 843\nHUI to TSF: 9438\nHUI to KHV: 4613\nTSF to PNH: 9363\nTSF to KHV: 8273\nKHV to PNH: 5004\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48814,
"style": "rule"
}
|
{
"exact_answer": 48814,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DEC\", \"id\": 0}, {\"name\": \"NNY\", \"id\": 1}, {\"name\": \"SLU\", \"id\": 2}, {\"name\": \"SGO\", \"id\": 3}, {\"name\": \"NAY\", \"id\": 4}, {\"name\": \"HUI\", \"id\": 5}, {\"name\": \"TSF\", \"id\": 6}, {\"name\": \"KHV\", \"id\": 7}, {\"name\": \"PNH\", \"id\": 8}], \"links\": [{\"weight\": 14189, \"source\": 0, \"target\": 8}, {\"weight\": 7727, \"source\": 0, \"target\": 6}, {\"weight\": 4191, \"source\": 0, \"target\": 2}, {\"weight\": 11805, \"source\": 0, \"target\": 7}, {\"weight\": 11681, \"source\": 0, \"target\": 1}, {\"weight\": 11313, \"source\": 0, \"target\": 4}, {\"weight\": 14715, \"source\": 0, \"target\": 3}, {\"weight\": 13717, \"source\": 0, \"target\": 5}, {\"weight\": 841, \"source\": 1, \"target\": 4}, {\"weight\": 2659, \"source\": 1, \"target\": 8}, {\"weight\": 8555, \"source\": 1, \"target\": 6}, {\"weight\": 15057, \"source\": 1, \"target\": 2}, {\"weight\": 2561, \"source\": 1, \"target\": 7}, {\"weight\": 8587, \"source\": 1, \"target\": 3}, {\"weight\": 2448, \"source\": 1, \"target\": 5}, {\"weight\": 16881, \"source\": 2, \"target\": 8}, {\"weight\": 7997, \"source\": 2, \"target\": 6}, {\"weight\": 15368, \"source\": 2, \"target\": 7}, {\"weight\": 14689, \"source\": 2, \"target\": 4}, {\"weight\": 18041, \"source\": 2, \"target\": 3}, {\"weight\": 16660, \"source\": 2, \"target\": 5}, {\"weight\": 7729, \"source\": 3, \"target\": 8}, {\"weight\": 16535, \"source\": 3, \"target\": 6}, {\"weight\": 9097, \"source\": 3, \"target\": 7}, {\"weight\": 8931, \"source\": 3, \"target\": 4}, {\"weight\": 8315, \"source\": 3, \"target\": 5}, {\"weight\": 3417, \"source\": 4, \"target\": 8}, {\"weight\": 8273, \"source\": 4, \"target\": 6}, {\"weight\": 1777, \"source\": 4, \"target\": 7}, {\"weight\": 2999, \"source\": 4, \"target\": 5}, {\"weight\": 843, \"source\": 5, \"target\": 8}, {\"weight\": 9438, \"source\": 5, \"target\": 6}, {\"weight\": 4613, \"source\": 5, \"target\": 7}, {\"weight\": 9363, \"source\": 6, \"target\": 8}, {\"weight\": 8273, \"source\": 6, \"target\": 7}, {\"weight\": 5004, \"source\": 7, \"target\": 8}]}",
"id": 492,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DEC, NNY, SLU, SGO, NAY, HUI, TSF, KHV, PNH\n- Travel distances (in kilometers) between each pair of airports:\nDEC to PNH: 14189\nDEC to TSF: 7727\nDEC to SLU: 4191\nDEC to KHV: 11805\nDEC to NNY: 11681\nDEC to NAY: 11313\nDEC to SGO: 14715\nDEC to HUI: 13717\nNNY to NAY: 841\nNNY to PNH: 2659\nNNY to TSF: 8555\nNNY to SLU: 15057\nNNY to KHV: 2561\nNNY to SGO: 8587\nNNY to HUI: 2448\nSLU to PNH: 16881\nSLU to TSF: 7997\nSLU to KHV: 15368\nSLU to NAY: 14689\nSLU to SGO: 18041\nSLU to HUI: 16660\nSGO to PNH: 7729\nSGO to TSF: 16535\nSGO to KHV: 9097\nSGO to NAY: 8931\nSGO to HUI: 8315\nNAY to PNH: 3417\nNAY to TSF: 8273\nNAY to KHV: 1777\nNAY to HUI: 2999\nHUI to PNH: 843\nHUI to TSF: 9438\nHUI to KHV: 4613\nTSF to PNH: 9363\nTSF to KHV: 8273\nKHV to PNH: 5004\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SEA, HPN, MCI, OZH, CEE, URT, MDL, KTE, HJJ\n- Travel distances (in kilometers) between each pair of airports:\nSEA to MCI: 2391\nSEA to MDL: 11574\nSEA to HPN: 3901\nSEA to URT: 12529\nSEA to HJJ: 10395\nSEA to CEE: 8994\nSEA to KTE: 13365\nSEA to OZH: 9677\nHPN to MDL: 14176\nHPN to MCI: 1820\nHPN to URT: 15131\nHPN to HJJ: 13066\nHPN to CEE: 7430\nHPN to KTE: 15921\nHPN to OZH: 8113\nMCI to MDL: 13965\nMCI to URT: 14920\nMCI to HJJ: 12786\nMCI to CEE: 8634\nMCI to KTE: 15756\nMCI to OZH: 9252\nOZH to MDL: 8073\nOZH to URT: 8527\nOZH to HJJ: 8141\nOZH to CEE: 1281\nOZH to KTE: 9263\nCEE to MDL: 7608\nCEE to URT: 8021\nCEE to HJJ: 7657\nCEE to KTE: 8777\nURT to MDL: 1549\nURT to HJJ: 2835\nURT to KTE: 1564\nMDL to HJJ: 2309\nMDL to KTE: 2481\nKTE to HJJ: 3583\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 38002,
"style": "rule"
}
|
{
"exact_answer": 38002,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SEA\", \"id\": 0}, {\"name\": \"HPN\", \"id\": 1}, {\"name\": \"MCI\", \"id\": 2}, {\"name\": \"OZH\", \"id\": 3}, {\"name\": \"CEE\", \"id\": 4}, {\"name\": \"URT\", \"id\": 5}, {\"name\": \"MDL\", \"id\": 6}, {\"name\": \"KTE\", \"id\": 7}, {\"name\": \"HJJ\", \"id\": 8}], \"links\": [{\"weight\": 2391, \"source\": 0, \"target\": 2}, {\"weight\": 11574, \"source\": 0, \"target\": 6}, {\"weight\": 3901, \"source\": 0, \"target\": 1}, {\"weight\": 12529, \"source\": 0, \"target\": 5}, {\"weight\": 10395, \"source\": 0, \"target\": 8}, {\"weight\": 8994, \"source\": 0, \"target\": 4}, {\"weight\": 13365, \"source\": 0, \"target\": 7}, {\"weight\": 9677, \"source\": 0, \"target\": 3}, {\"weight\": 14176, \"source\": 1, \"target\": 6}, {\"weight\": 1820, \"source\": 1, \"target\": 2}, {\"weight\": 15131, \"source\": 1, \"target\": 5}, {\"weight\": 13066, \"source\": 1, \"target\": 8}, {\"weight\": 7430, \"source\": 1, \"target\": 4}, {\"weight\": 15921, \"source\": 1, \"target\": 7}, {\"weight\": 8113, \"source\": 1, \"target\": 3}, {\"weight\": 13965, \"source\": 2, \"target\": 6}, {\"weight\": 14920, \"source\": 2, \"target\": 5}, {\"weight\": 12786, \"source\": 2, \"target\": 8}, {\"weight\": 8634, \"source\": 2, \"target\": 4}, {\"weight\": 15756, \"source\": 2, \"target\": 7}, {\"weight\": 9252, \"source\": 2, \"target\": 3}, {\"weight\": 8073, \"source\": 3, \"target\": 6}, {\"weight\": 8527, \"source\": 3, \"target\": 5}, {\"weight\": 8141, \"source\": 3, \"target\": 8}, {\"weight\": 1281, \"source\": 3, \"target\": 4}, {\"weight\": 9263, \"source\": 3, \"target\": 7}, {\"weight\": 7608, \"source\": 4, \"target\": 6}, {\"weight\": 8021, \"source\": 4, \"target\": 5}, {\"weight\": 7657, \"source\": 4, \"target\": 8}, {\"weight\": 8777, \"source\": 4, \"target\": 7}, {\"weight\": 1549, \"source\": 5, \"target\": 6}, {\"weight\": 2835, \"source\": 5, \"target\": 8}, {\"weight\": 1564, \"source\": 5, \"target\": 7}, {\"weight\": 2309, \"source\": 6, \"target\": 8}, {\"weight\": 2481, \"source\": 6, \"target\": 7}, {\"weight\": 3583, \"source\": 7, \"target\": 8}]}",
"id": 493,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SEA, HPN, MCI, OZH, CEE, URT, MDL, KTE, HJJ\n- Travel distances (in kilometers) between each pair of airports:\nSEA to MCI: 2391\nSEA to MDL: 11574\nSEA to HPN: 3901\nSEA to URT: 12529\nSEA to HJJ: 10395\nSEA to CEE: 8994\nSEA to KTE: 13365\nSEA to OZH: 9677\nHPN to MDL: 14176\nHPN to MCI: 1820\nHPN to URT: 15131\nHPN to HJJ: 13066\nHPN to CEE: 7430\nHPN to KTE: 15921\nHPN to OZH: 8113\nMCI to MDL: 13965\nMCI to URT: 14920\nMCI to HJJ: 12786\nMCI to CEE: 8634\nMCI to KTE: 15756\nMCI to OZH: 9252\nOZH to MDL: 8073\nOZH to URT: 8527\nOZH to HJJ: 8141\nOZH to CEE: 1281\nOZH to KTE: 9263\nCEE to MDL: 7608\nCEE to URT: 8021\nCEE to HJJ: 7657\nCEE to KTE: 8777\nURT to MDL: 1549\nURT to HJJ: 2835\nURT to KTE: 1564\nMDL to HJJ: 2309\nMDL to KTE: 2481\nKTE to HJJ: 3583\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HGN, PGK, SBZ, TDX, SZA, YHO, THD, SPI, YNB\n- Travel distances (in kilometers) between each pair of airports:\nHGN to SPI: 13868\nHGN to SZA: 10775\nHGN to YNB: 6545\nHGN to PGK: 2673\nHGN to SBZ: 8042\nHGN to YHO: 14267\nHGN to TDX: 947\nHGN to THD: 2431\nPGK to SPI: 15989\nPGK to SZA: 11527\nPGK to YNB: 8105\nPGK to SBZ: 9913\nPGK to YHO: 16217\nPGK to TDX: 2218\nPGK to THD: 2754\nSBZ to SPI: 8472\nSBZ to SZA: 6735\nSBZ to YNB: 2723\nSBZ to YHO: 6694\nSBZ to TDX: 8399\nSBZ to THD: 9884\nTDX to SPI: 14389\nTDX to SZA: 10524\nTDX to YNB: 6879\nTDX to YHO: 14603\nTDX to THD: 1950\nSZA to SPI: 12383\nSZA to YNB: 5481\nSZA to YHO: 11947\nSZA to THD: 12012\nYHO to SPI: 3124\nYHO to YNB: 9262\nYHO to THD: 16026\nTHD to SPI: 15241\nTHD to YNB: 8366\nSPI to YNB: 11089\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48647,
"style": "rule"
}
|
{
"exact_answer": 48647,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HGN\", \"id\": 0}, {\"name\": \"PGK\", \"id\": 1}, {\"name\": \"SBZ\", \"id\": 2}, {\"name\": \"TDX\", \"id\": 3}, {\"name\": \"SZA\", \"id\": 4}, {\"name\": \"YHO\", \"id\": 5}, {\"name\": \"THD\", \"id\": 6}, {\"name\": \"SPI\", \"id\": 7}, {\"name\": \"YNB\", \"id\": 8}], \"links\": [{\"weight\": 13868, \"source\": 0, \"target\": 7}, {\"weight\": 10775, \"source\": 0, \"target\": 4}, {\"weight\": 6545, \"source\": 0, \"target\": 8}, {\"weight\": 2673, \"source\": 0, \"target\": 1}, {\"weight\": 8042, \"source\": 0, \"target\": 2}, {\"weight\": 14267, \"source\": 0, \"target\": 5}, {\"weight\": 947, \"source\": 0, \"target\": 3}, {\"weight\": 2431, \"source\": 0, \"target\": 6}, {\"weight\": 15989, \"source\": 1, \"target\": 7}, {\"weight\": 11527, \"source\": 1, \"target\": 4}, {\"weight\": 8105, \"source\": 1, \"target\": 8}, {\"weight\": 9913, \"source\": 1, \"target\": 2}, {\"weight\": 16217, \"source\": 1, \"target\": 5}, {\"weight\": 2218, \"source\": 1, \"target\": 3}, {\"weight\": 2754, \"source\": 1, \"target\": 6}, {\"weight\": 8472, \"source\": 2, \"target\": 7}, {\"weight\": 6735, \"source\": 2, \"target\": 4}, {\"weight\": 2723, \"source\": 2, \"target\": 8}, {\"weight\": 6694, \"source\": 2, \"target\": 5}, {\"weight\": 8399, \"source\": 2, \"target\": 3}, {\"weight\": 9884, \"source\": 2, \"target\": 6}, {\"weight\": 14389, \"source\": 3, \"target\": 7}, {\"weight\": 10524, \"source\": 3, \"target\": 4}, {\"weight\": 6879, \"source\": 3, \"target\": 8}, {\"weight\": 14603, \"source\": 3, \"target\": 5}, {\"weight\": 1950, \"source\": 3, \"target\": 6}, {\"weight\": 12383, \"source\": 4, \"target\": 7}, {\"weight\": 5481, \"source\": 4, \"target\": 8}, {\"weight\": 11947, \"source\": 4, \"target\": 5}, {\"weight\": 12012, \"source\": 4, \"target\": 6}, {\"weight\": 3124, \"source\": 5, \"target\": 7}, {\"weight\": 9262, \"source\": 5, \"target\": 8}, {\"weight\": 16026, \"source\": 5, \"target\": 6}, {\"weight\": 15241, \"source\": 6, \"target\": 7}, {\"weight\": 8366, \"source\": 6, \"target\": 8}, {\"weight\": 11089, \"source\": 7, \"target\": 8}]}",
"id": 494,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HGN, PGK, SBZ, TDX, SZA, YHO, THD, SPI, YNB\n- Travel distances (in kilometers) between each pair of airports:\nHGN to SPI: 13868\nHGN to SZA: 10775\nHGN to YNB: 6545\nHGN to PGK: 2673\nHGN to SBZ: 8042\nHGN to YHO: 14267\nHGN to TDX: 947\nHGN to THD: 2431\nPGK to SPI: 15989\nPGK to SZA: 11527\nPGK to YNB: 8105\nPGK to SBZ: 9913\nPGK to YHO: 16217\nPGK to TDX: 2218\nPGK to THD: 2754\nSBZ to SPI: 8472\nSBZ to SZA: 6735\nSBZ to YNB: 2723\nSBZ to YHO: 6694\nSBZ to TDX: 8399\nSBZ to THD: 9884\nTDX to SPI: 14389\nTDX to SZA: 10524\nTDX to YNB: 6879\nTDX to YHO: 14603\nTDX to THD: 1950\nSZA to SPI: 12383\nSZA to YNB: 5481\nSZA to YHO: 11947\nSZA to THD: 12012\nYHO to SPI: 3124\nYHO to YNB: 9262\nYHO to THD: 16026\nTHD to SPI: 15241\nTHD to YNB: 8366\nSPI to YNB: 11089\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KKR, ZAM, BKZ, RGI, WBM, JUL, JYV, STR, KRK\n- Travel distances (in kilometers) between each pair of airports:\nKKR to ZAM: 12019\nKKR to STR: 16435\nKKR to KRK: 16776\nKKR to JUL: 10823\nKKR to JYV: 16464\nKKR to BKZ: 19255\nKKR to WBM: 8766\nKKR to RGI: 714\nZAM to STR: 11191\nZAM to KRK: 10473\nZAM to JUL: 20026\nZAM to JYV: 10039\nZAM to BKZ: 10900\nZAM to WBM: 4371\nZAM to RGI: 12017\nBKZ to STR: 6867\nBKZ to KRK: 6868\nBKZ to JUL: 12857\nBKZ to JYV: 7816\nBKZ to WBM: 13985\nBKZ to RGI: 19253\nRGI to STR: 16433\nRGI to KRK: 16774\nRGI to JUL: 10821\nRGI to JYV: 16462\nRGI to WBM: 8764\nWBM to STR: 14820\nWBM to KRK: 14102\nWBM to JUL: 17060\nWBM to JYV: 13665\nJUL to STR: 11376\nJUL to KRK: 12111\nJUL to JYV: 13117\nJYV to STR: 1868\nJYV to KRK: 1418\nSTR to KRK: 779\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56632,
"style": "rule"
}
|
{
"exact_answer": 56632,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KKR\", \"id\": 0}, {\"name\": \"ZAM\", \"id\": 1}, {\"name\": \"BKZ\", \"id\": 2}, {\"name\": \"RGI\", \"id\": 3}, {\"name\": \"WBM\", \"id\": 4}, {\"name\": \"JUL\", \"id\": 5}, {\"name\": \"JYV\", \"id\": 6}, {\"name\": \"STR\", \"id\": 7}, {\"name\": \"KRK\", \"id\": 8}], \"links\": [{\"weight\": 12019, \"source\": 0, \"target\": 1}, {\"weight\": 16435, \"source\": 0, \"target\": 7}, {\"weight\": 16776, \"source\": 0, \"target\": 8}, {\"weight\": 10823, \"source\": 0, \"target\": 5}, {\"weight\": 16464, \"source\": 0, \"target\": 6}, {\"weight\": 19255, \"source\": 0, \"target\": 2}, {\"weight\": 8766, \"source\": 0, \"target\": 4}, {\"weight\": 714, \"source\": 0, \"target\": 3}, {\"weight\": 11191, \"source\": 1, \"target\": 7}, {\"weight\": 10473, \"source\": 1, \"target\": 8}, {\"weight\": 20026, \"source\": 1, \"target\": 5}, {\"weight\": 10039, \"source\": 1, \"target\": 6}, {\"weight\": 10900, \"source\": 1, \"target\": 2}, {\"weight\": 4371, \"source\": 1, \"target\": 4}, {\"weight\": 12017, \"source\": 1, \"target\": 3}, {\"weight\": 6867, \"source\": 2, \"target\": 7}, {\"weight\": 6868, \"source\": 2, \"target\": 8}, {\"weight\": 12857, \"source\": 2, \"target\": 5}, {\"weight\": 7816, \"source\": 2, \"target\": 6}, {\"weight\": 13985, \"source\": 2, \"target\": 4}, {\"weight\": 19253, \"source\": 2, \"target\": 3}, {\"weight\": 16433, \"source\": 3, \"target\": 7}, {\"weight\": 16774, \"source\": 3, \"target\": 8}, {\"weight\": 10821, \"source\": 3, \"target\": 5}, {\"weight\": 16462, \"source\": 3, \"target\": 6}, {\"weight\": 8764, \"source\": 3, \"target\": 4}, {\"weight\": 14820, \"source\": 4, \"target\": 7}, {\"weight\": 14102, \"source\": 4, \"target\": 8}, {\"weight\": 17060, \"source\": 4, \"target\": 5}, {\"weight\": 13665, \"source\": 4, \"target\": 6}, {\"weight\": 11376, \"source\": 5, \"target\": 7}, {\"weight\": 12111, \"source\": 5, \"target\": 8}, {\"weight\": 13117, \"source\": 5, \"target\": 6}, {\"weight\": 1868, \"source\": 6, \"target\": 7}, {\"weight\": 1418, \"source\": 6, \"target\": 8}, {\"weight\": 779, \"source\": 7, \"target\": 8}]}",
"id": 495,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KKR, ZAM, BKZ, RGI, WBM, JUL, JYV, STR, KRK\n- Travel distances (in kilometers) between each pair of airports:\nKKR to ZAM: 12019\nKKR to STR: 16435\nKKR to KRK: 16776\nKKR to JUL: 10823\nKKR to JYV: 16464\nKKR to BKZ: 19255\nKKR to WBM: 8766\nKKR to RGI: 714\nZAM to STR: 11191\nZAM to KRK: 10473\nZAM to JUL: 20026\nZAM to JYV: 10039\nZAM to BKZ: 10900\nZAM to WBM: 4371\nZAM to RGI: 12017\nBKZ to STR: 6867\nBKZ to KRK: 6868\nBKZ to JUL: 12857\nBKZ to JYV: 7816\nBKZ to WBM: 13985\nBKZ to RGI: 19253\nRGI to STR: 16433\nRGI to KRK: 16774\nRGI to JUL: 10821\nRGI to JYV: 16462\nRGI to WBM: 8764\nWBM to STR: 14820\nWBM to KRK: 14102\nWBM to JUL: 17060\nWBM to JYV: 13665\nJUL to STR: 11376\nJUL to KRK: 12111\nJUL to JYV: 13117\nJYV to STR: 1868\nJYV to KRK: 1418\nSTR to KRK: 779\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CJS, LLW, OBU, ROB, KWT, PFQ, PAF, LKB, MKM\n- Travel distances (in kilometers) between each pair of airports:\nCJS to ROB: 10817\nCJS to KWT: 5777\nCJS to OBU: 6244\nCJS to PAF: 15558\nCJS to LLW: 16217\nCJS to PFQ: 13983\nCJS to LKB: 10696\nCJS to MKM: 14634\nLLW to ROB: 5759\nLLW to KWT: 18926\nLLW to OBU: 19393\nLLW to PAF: 2208\nLLW to PFQ: 6351\nLLW to LKB: 16031\nLLW to MKM: 10212\nOBU to ROB: 14174\nOBU to KWT: 1146\nOBU to PAF: 17908\nOBU to PFQ: 15964\nOBU to LKB: 11106\nOBU to MKM: 15755\nROB to KWT: 13707\nROB to PAF: 5211\nROB to PFQ: 8198\nROB to LKB: 20343\nROB to MKM: 13995\nKWT to PAF: 17441\nKWT to PFQ: 15497\nKWT to LKB: 10639\nKWT to MKM: 15288\nPFQ to PAF: 5238\nPFQ to LKB: 15514\nPFQ to MKM: 8245\nPAF to LKB: 16479\nPAF to MKM: 9568\nLKB to MKM: 8814\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59110,
"style": "rule"
}
|
{
"exact_answer": 59110,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CJS\", \"id\": 0}, {\"name\": \"LLW\", \"id\": 1}, {\"name\": \"OBU\", \"id\": 2}, {\"name\": \"ROB\", \"id\": 3}, {\"name\": \"KWT\", \"id\": 4}, {\"name\": \"PFQ\", \"id\": 5}, {\"name\": \"PAF\", \"id\": 6}, {\"name\": \"LKB\", \"id\": 7}, {\"name\": \"MKM\", \"id\": 8}], \"links\": [{\"weight\": 10817, \"source\": 0, \"target\": 3}, {\"weight\": 5777, \"source\": 0, \"target\": 4}, {\"weight\": 6244, \"source\": 0, \"target\": 2}, {\"weight\": 15558, \"source\": 0, \"target\": 6}, {\"weight\": 16217, \"source\": 0, \"target\": 1}, {\"weight\": 13983, \"source\": 0, \"target\": 5}, {\"weight\": 10696, \"source\": 0, \"target\": 7}, {\"weight\": 14634, \"source\": 0, \"target\": 8}, {\"weight\": 5759, \"source\": 1, \"target\": 3}, {\"weight\": 18926, \"source\": 1, \"target\": 4}, {\"weight\": 19393, \"source\": 1, \"target\": 2}, {\"weight\": 2208, \"source\": 1, \"target\": 6}, {\"weight\": 6351, \"source\": 1, \"target\": 5}, {\"weight\": 16031, \"source\": 1, \"target\": 7}, {\"weight\": 10212, \"source\": 1, \"target\": 8}, {\"weight\": 14174, \"source\": 2, \"target\": 3}, {\"weight\": 1146, \"source\": 2, \"target\": 4}, {\"weight\": 17908, \"source\": 2, \"target\": 6}, {\"weight\": 15964, \"source\": 2, \"target\": 5}, {\"weight\": 11106, \"source\": 2, \"target\": 7}, {\"weight\": 15755, \"source\": 2, \"target\": 8}, {\"weight\": 13707, \"source\": 3, \"target\": 4}, {\"weight\": 5211, \"source\": 3, \"target\": 6}, {\"weight\": 8198, \"source\": 3, \"target\": 5}, {\"weight\": 20343, \"source\": 3, \"target\": 7}, {\"weight\": 13995, \"source\": 3, \"target\": 8}, {\"weight\": 17441, \"source\": 4, \"target\": 6}, {\"weight\": 15497, \"source\": 4, \"target\": 5}, {\"weight\": 10639, \"source\": 4, \"target\": 7}, {\"weight\": 15288, \"source\": 4, \"target\": 8}, {\"weight\": 5238, \"source\": 5, \"target\": 6}, {\"weight\": 15514, \"source\": 5, \"target\": 7}, {\"weight\": 8245, \"source\": 5, \"target\": 8}, {\"weight\": 16479, \"source\": 6, \"target\": 7}, {\"weight\": 9568, \"source\": 6, \"target\": 8}, {\"weight\": 8814, \"source\": 7, \"target\": 8}]}",
"id": 496,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CJS, LLW, OBU, ROB, KWT, PFQ, PAF, LKB, MKM\n- Travel distances (in kilometers) between each pair of airports:\nCJS to ROB: 10817\nCJS to KWT: 5777\nCJS to OBU: 6244\nCJS to PAF: 15558\nCJS to LLW: 16217\nCJS to PFQ: 13983\nCJS to LKB: 10696\nCJS to MKM: 14634\nLLW to ROB: 5759\nLLW to KWT: 18926\nLLW to OBU: 19393\nLLW to PAF: 2208\nLLW to PFQ: 6351\nLLW to LKB: 16031\nLLW to MKM: 10212\nOBU to ROB: 14174\nOBU to KWT: 1146\nOBU to PAF: 17908\nOBU to PFQ: 15964\nOBU to LKB: 11106\nOBU to MKM: 15755\nROB to KWT: 13707\nROB to PAF: 5211\nROB to PFQ: 8198\nROB to LKB: 20343\nROB to MKM: 13995\nKWT to PAF: 17441\nKWT to PFQ: 15497\nKWT to LKB: 10639\nKWT to MKM: 15288\nPFQ to PAF: 5238\nPFQ to LKB: 15514\nPFQ to MKM: 8245\nPAF to LKB: 16479\nPAF to MKM: 9568\nLKB to MKM: 8814\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ORX, HMV, VLC, NRL, BLJ, AOK, PCR, BGI, CVG\n- Travel distances (in kilometers) between each pair of airports:\nORX to HMV: 11016\nORX to CVG: 6132\nORX to PCR: 4448\nORX to AOK: 10563\nORX to BGI: 2880\nORX to VLC: 8162\nORX to BLJ: 8578\nORX to NRL: 9925\nHMV to CVG: 7685\nHMV to PCR: 11323\nHMV to AOK: 3561\nHMV to BGI: 8822\nHMV to VLC: 3298\nHMV to BLJ: 3565\nHMV to NRL: 2158\nVLC to CVG: 6965\nVLC to PCR: 9028\nVLC to AOK: 2588\nVLC to BGI: 8020\nVLC to BLJ: 893\nVLC to NRL: 2223\nNRL to CVG: 6353\nNRL to PCR: 9876\nNRL to AOK: 3526\nNRL to BGI: 7375\nNRL to BLJ: 2723\nBLJ to CVG: 7701\nBLJ to PCR: 9684\nBLJ to AOK: 2582\nBLJ to BGI: 8561\nAOK to CVG: 9177\nAOK to PCR: 11559\nAOK to BGI: 9547\nPCR to CVG: 4715\nPCR to BGI: 2650\nBGI to CVG: 3809\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 33954,
"style": "rule"
}
|
{
"exact_answer": 33954,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ORX\", \"id\": 0}, {\"name\": \"HMV\", \"id\": 1}, {\"name\": \"VLC\", \"id\": 2}, {\"name\": \"NRL\", \"id\": 3}, {\"name\": \"BLJ\", \"id\": 4}, {\"name\": \"AOK\", \"id\": 5}, {\"name\": \"PCR\", \"id\": 6}, {\"name\": \"BGI\", \"id\": 7}, {\"name\": \"CVG\", \"id\": 8}], \"links\": [{\"weight\": 11016, \"source\": 0, \"target\": 1}, {\"weight\": 6132, \"source\": 0, \"target\": 8}, {\"weight\": 4448, \"source\": 0, \"target\": 6}, {\"weight\": 10563, \"source\": 0, \"target\": 5}, {\"weight\": 2880, \"source\": 0, \"target\": 7}, {\"weight\": 8162, \"source\": 0, \"target\": 2}, {\"weight\": 8578, \"source\": 0, \"target\": 4}, {\"weight\": 9925, \"source\": 0, \"target\": 3}, {\"weight\": 7685, \"source\": 1, \"target\": 8}, {\"weight\": 11323, \"source\": 1, \"target\": 6}, {\"weight\": 3561, \"source\": 1, \"target\": 5}, {\"weight\": 8822, \"source\": 1, \"target\": 7}, {\"weight\": 3298, \"source\": 1, \"target\": 2}, {\"weight\": 3565, \"source\": 1, \"target\": 4}, {\"weight\": 2158, \"source\": 1, \"target\": 3}, {\"weight\": 6965, \"source\": 2, \"target\": 8}, {\"weight\": 9028, \"source\": 2, \"target\": 6}, {\"weight\": 2588, \"source\": 2, \"target\": 5}, {\"weight\": 8020, \"source\": 2, \"target\": 7}, {\"weight\": 893, \"source\": 2, \"target\": 4}, {\"weight\": 2223, \"source\": 2, \"target\": 3}, {\"weight\": 6353, \"source\": 3, \"target\": 8}, {\"weight\": 9876, \"source\": 3, \"target\": 6}, {\"weight\": 3526, \"source\": 3, \"target\": 5}, {\"weight\": 7375, \"source\": 3, \"target\": 7}, {\"weight\": 2723, \"source\": 3, \"target\": 4}, {\"weight\": 7701, \"source\": 4, \"target\": 8}, {\"weight\": 9684, \"source\": 4, \"target\": 6}, {\"weight\": 2582, \"source\": 4, \"target\": 5}, {\"weight\": 8561, \"source\": 4, \"target\": 7}, {\"weight\": 9177, \"source\": 5, \"target\": 8}, {\"weight\": 11559, \"source\": 5, \"target\": 6}, {\"weight\": 9547, \"source\": 5, \"target\": 7}, {\"weight\": 4715, \"source\": 6, \"target\": 8}, {\"weight\": 2650, \"source\": 6, \"target\": 7}, {\"weight\": 3809, \"source\": 7, \"target\": 8}]}",
"id": 497,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ORX, HMV, VLC, NRL, BLJ, AOK, PCR, BGI, CVG\n- Travel distances (in kilometers) between each pair of airports:\nORX to HMV: 11016\nORX to CVG: 6132\nORX to PCR: 4448\nORX to AOK: 10563\nORX to BGI: 2880\nORX to VLC: 8162\nORX to BLJ: 8578\nORX to NRL: 9925\nHMV to CVG: 7685\nHMV to PCR: 11323\nHMV to AOK: 3561\nHMV to BGI: 8822\nHMV to VLC: 3298\nHMV to BLJ: 3565\nHMV to NRL: 2158\nVLC to CVG: 6965\nVLC to PCR: 9028\nVLC to AOK: 2588\nVLC to BGI: 8020\nVLC to BLJ: 893\nVLC to NRL: 2223\nNRL to CVG: 6353\nNRL to PCR: 9876\nNRL to AOK: 3526\nNRL to BGI: 7375\nNRL to BLJ: 2723\nBLJ to CVG: 7701\nBLJ to PCR: 9684\nBLJ to AOK: 2582\nBLJ to BGI: 8561\nAOK to CVG: 9177\nAOK to PCR: 11559\nAOK to BGI: 9547\nPCR to CVG: 4715\nPCR to BGI: 2650\nBGI to CVG: 3809\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKD, BEL, NZH, BAZ, YWH, UPG, RGN, UTS, BFJ\n- Travel distances (in kilometers) between each pair of airports:\nRKD to RGN: 14122\nRKD to NZH: 12225\nRKD to BEL: 5754\nRKD to BAZ: 6059\nRKD to UPG: 16521\nRKD to BFJ: 13281\nRKD to YWH: 4385\nRKD to UTS: 8418\nBEL to RGN: 16449\nBEL to NZH: 15440\nBEL to BAZ: 1690\nBEL to UPG: 19770\nBEL to BFJ: 16717\nBEL to YWH: 9064\nBEL to UTS: 11633\nNZH to RGN: 4156\nNZH to BAZ: 16668\nNZH to UPG: 6260\nNZH to BFJ: 2687\nNZH to YWH: 9877\nNZH to UTS: 4953\nBAZ to RGN: 18094\nBAZ to UPG: 21054\nBAZ to BFJ: 18044\nBAZ to YWH: 8784\nBAZ to UTS: 12861\nYWH to RGN: 12059\nYWH to UPG: 13310\nYWH to BFJ: 10578\nYWH to UTS: 10249\nUPG to RGN: 3800\nUPG to BFJ: 4239\nUPG to UTS: 10253\nRGN to BFJ: 1491\nRGN to UTS: 6954\nUTS to BFJ: 6473\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50008,
"style": "rule"
}
|
{
"exact_answer": 50008,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RKD\", \"id\": 0}, {\"name\": \"BEL\", \"id\": 1}, {\"name\": \"NZH\", \"id\": 2}, {\"name\": \"BAZ\", \"id\": 3}, {\"name\": \"YWH\", \"id\": 4}, {\"name\": \"UPG\", \"id\": 5}, {\"name\": \"RGN\", \"id\": 6}, {\"name\": \"UTS\", \"id\": 7}, {\"name\": \"BFJ\", \"id\": 8}], \"links\": [{\"weight\": 14122, \"source\": 0, \"target\": 6}, {\"weight\": 12225, \"source\": 0, \"target\": 2}, {\"weight\": 5754, \"source\": 0, \"target\": 1}, {\"weight\": 6059, \"source\": 0, \"target\": 3}, {\"weight\": 16521, \"source\": 0, \"target\": 5}, {\"weight\": 13281, \"source\": 0, \"target\": 8}, {\"weight\": 4385, \"source\": 0, \"target\": 4}, {\"weight\": 8418, \"source\": 0, \"target\": 7}, {\"weight\": 16449, \"source\": 1, \"target\": 6}, {\"weight\": 15440, \"source\": 1, \"target\": 2}, {\"weight\": 1690, \"source\": 1, \"target\": 3}, {\"weight\": 19770, \"source\": 1, \"target\": 5}, {\"weight\": 16717, \"source\": 1, \"target\": 8}, {\"weight\": 9064, \"source\": 1, \"target\": 4}, {\"weight\": 11633, \"source\": 1, \"target\": 7}, {\"weight\": 4156, \"source\": 2, \"target\": 6}, {\"weight\": 16668, \"source\": 2, \"target\": 3}, {\"weight\": 6260, \"source\": 2, \"target\": 5}, {\"weight\": 2687, \"source\": 2, \"target\": 8}, {\"weight\": 9877, \"source\": 2, \"target\": 4}, {\"weight\": 4953, \"source\": 2, \"target\": 7}, {\"weight\": 18094, \"source\": 3, \"target\": 6}, {\"weight\": 21054, \"source\": 3, \"target\": 5}, {\"weight\": 18044, \"source\": 3, \"target\": 8}, {\"weight\": 8784, \"source\": 3, \"target\": 4}, {\"weight\": 12861, \"source\": 3, \"target\": 7}, {\"weight\": 12059, \"source\": 4, \"target\": 6}, {\"weight\": 13310, \"source\": 4, \"target\": 5}, {\"weight\": 10578, \"source\": 4, \"target\": 8}, {\"weight\": 10249, \"source\": 4, \"target\": 7}, {\"weight\": 3800, \"source\": 5, \"target\": 6}, {\"weight\": 4239, \"source\": 5, \"target\": 8}, {\"weight\": 10253, \"source\": 5, \"target\": 7}, {\"weight\": 1491, \"source\": 6, \"target\": 8}, {\"weight\": 6954, \"source\": 6, \"target\": 7}, {\"weight\": 6473, \"source\": 7, \"target\": 8}]}",
"id": 498,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RKD, BEL, NZH, BAZ, YWH, UPG, RGN, UTS, BFJ\n- Travel distances (in kilometers) between each pair of airports:\nRKD to RGN: 14122\nRKD to NZH: 12225\nRKD to BEL: 5754\nRKD to BAZ: 6059\nRKD to UPG: 16521\nRKD to BFJ: 13281\nRKD to YWH: 4385\nRKD to UTS: 8418\nBEL to RGN: 16449\nBEL to NZH: 15440\nBEL to BAZ: 1690\nBEL to UPG: 19770\nBEL to BFJ: 16717\nBEL to YWH: 9064\nBEL to UTS: 11633\nNZH to RGN: 4156\nNZH to BAZ: 16668\nNZH to UPG: 6260\nNZH to BFJ: 2687\nNZH to YWH: 9877\nNZH to UTS: 4953\nBAZ to RGN: 18094\nBAZ to UPG: 21054\nBAZ to BFJ: 18044\nBAZ to YWH: 8784\nBAZ to UTS: 12861\nYWH to RGN: 12059\nYWH to UPG: 13310\nYWH to BFJ: 10578\nYWH to UTS: 10249\nUPG to RGN: 3800\nUPG to BFJ: 4239\nUPG to UTS: 10253\nRGN to BFJ: 1491\nRGN to UTS: 6954\nUTS to BFJ: 6473\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YCD, LDH, VCP, NAV, YQD, RVD, AVL, NRK\n- Travel distances (in kilometers) between each pair of airports:\nBBO to AVL: 12670\nBBO to YCD: 13665\nBBO to VCP: 10775\nBBO to RVD: 11474\nBBO to NRK: 6370\nBBO to YQD: 13688\nBBO to NAV: 4250\nBBO to LDH: 14125\nYCD to AVL: 3746\nYCD to VCP: 11084\nYCD to RVD: 11783\nYCD to NRK: 8754\nYCD to YQD: 2437\nYCD to NAV: 10464\nYCD to LDH: 12695\nLDH to AVL: 15540\nLDH to VCP: 14958\nLDH to RVD: 15657\nLDH to NRK: 16021\nLDH to YQD: 15028\nLDH to NAV: 15987\nVCP to RVD: 699\nVCP to AVL: 7589\nVCP to NRK: 11819\nVCP to YQD: 10069\nVCP to NAV: 11441\nNAV to AVL: 9607\nNAV to RVD: 12140\nNAV to NRK: 3234\nNAV to YQD: 10590\nYQD to AVL: 2522\nYQD to RVD: 10768\nYQD to NRK: 9168\nRVD to AVL: 8288\nRVD to NRK: 12518\nAVL to NRK: 8130\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59267,
"style": "rule"
}
|
{
"exact_answer": 59267,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BBO\", \"id\": 0}, {\"name\": \"YCD\", \"id\": 1}, {\"name\": \"LDH\", \"id\": 2}, {\"name\": \"VCP\", \"id\": 3}, {\"name\": \"NAV\", \"id\": 4}, {\"name\": \"YQD\", \"id\": 5}, {\"name\": \"RVD\", \"id\": 6}, {\"name\": \"AVL\", \"id\": 7}, {\"name\": \"NRK\", \"id\": 8}], \"links\": [{\"weight\": 12670, \"source\": 0, \"target\": 7}, {\"weight\": 13665, \"source\": 0, \"target\": 1}, {\"weight\": 10775, \"source\": 0, \"target\": 3}, {\"weight\": 11474, \"source\": 0, \"target\": 6}, {\"weight\": 6370, \"source\": 0, \"target\": 8}, {\"weight\": 13688, \"source\": 0, \"target\": 5}, {\"weight\": 4250, \"source\": 0, \"target\": 4}, {\"weight\": 14125, \"source\": 0, \"target\": 2}, {\"weight\": 3746, \"source\": 1, \"target\": 7}, {\"weight\": 11084, \"source\": 1, \"target\": 3}, {\"weight\": 11783, \"source\": 1, \"target\": 6}, {\"weight\": 8754, \"source\": 1, \"target\": 8}, {\"weight\": 2437, \"source\": 1, \"target\": 5}, {\"weight\": 10464, \"source\": 1, \"target\": 4}, {\"weight\": 12695, \"source\": 1, \"target\": 2}, {\"weight\": 15540, \"source\": 2, \"target\": 7}, {\"weight\": 14958, \"source\": 2, \"target\": 3}, {\"weight\": 15657, \"source\": 2, \"target\": 6}, {\"weight\": 16021, \"source\": 2, \"target\": 8}, {\"weight\": 15028, \"source\": 2, \"target\": 5}, {\"weight\": 15987, \"source\": 2, \"target\": 4}, {\"weight\": 699, \"source\": 3, \"target\": 6}, {\"weight\": 7589, \"source\": 3, \"target\": 7}, {\"weight\": 11819, \"source\": 3, \"target\": 8}, {\"weight\": 10069, \"source\": 3, \"target\": 5}, {\"weight\": 11441, \"source\": 3, \"target\": 4}, {\"weight\": 9607, \"source\": 4, \"target\": 7}, {\"weight\": 12140, \"source\": 4, \"target\": 6}, {\"weight\": 3234, \"source\": 4, \"target\": 8}, {\"weight\": 10590, \"source\": 4, \"target\": 5}, {\"weight\": 2522, \"source\": 5, \"target\": 7}, {\"weight\": 10768, \"source\": 5, \"target\": 6}, {\"weight\": 9168, \"source\": 5, \"target\": 8}, {\"weight\": 8288, \"source\": 6, \"target\": 7}, {\"weight\": 12518, \"source\": 6, \"target\": 8}, {\"weight\": 8130, \"source\": 7, \"target\": 8}]}",
"id": 499,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, YCD, LDH, VCP, NAV, YQD, RVD, AVL, NRK\n- Travel distances (in kilometers) between each pair of airports:\nBBO to AVL: 12670\nBBO to YCD: 13665\nBBO to VCP: 10775\nBBO to RVD: 11474\nBBO to NRK: 6370\nBBO to YQD: 13688\nBBO to NAV: 4250\nBBO to LDH: 14125\nYCD to AVL: 3746\nYCD to VCP: 11084\nYCD to RVD: 11783\nYCD to NRK: 8754\nYCD to YQD: 2437\nYCD to NAV: 10464\nYCD to LDH: 12695\nLDH to AVL: 15540\nLDH to VCP: 14958\nLDH to RVD: 15657\nLDH to NRK: 16021\nLDH to YQD: 15028\nLDH to NAV: 15987\nVCP to RVD: 699\nVCP to AVL: 7589\nVCP to NRK: 11819\nVCP to YQD: 10069\nVCP to NAV: 11441\nNAV to AVL: 9607\nNAV to RVD: 12140\nNAV to NRK: 3234\nNAV to YQD: 10590\nYQD to AVL: 2522\nYQD to RVD: 10768\nYQD to NRK: 9168\nRVD to AVL: 8288\nRVD to NRK: 12518\nAVL to NRK: 8130\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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