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: TWU, AXU, EIS, JST, WGP, TNN, CJA, BGO, JUK\n- Travel distances (in kilometers) between each pair of airports:\nTWU to BGO: 11022\nTWU to EIS: 17695\nTWU to TNN: 2775\nTWU to AXU: 9621\nTWU to JUK: 14582\nTWU to WGP: 2066\nTWU to CJA: 20411\nTWU to JST: 15316\nAXU to BGO: 6923\nAXU to EIS: 13023\nAXU to TNN: 9328\nAXU to JUK: 10161\nAXU to WGP: 10568\nAXU to CJA: 14571\nAXU to JST: 12329\nEIS to BGO: 7962\nEIS to TNN: 16283\nEIS to JUK: 8855\nEIS to WGP: 19596\nEIS to CJA: 4348\nEIS to JST: 2827\nJST to BGO: 6161\nJST to TNN: 13945\nJST to JUK: 6889\nJST to WGP: 17207\nJST to CJA: 6441\nWGP to BGO: 12524\nWGP to TNN: 4677\nWGP to JUK: 16083\nWGP to CJA: 19558\nTNN to BGO: 9545\nTNN to JUK: 13105\nTNN to CJA: 19597\nCJA to BGO: 11752\nCJA to JUK: 12788\nBGO to JUK: 3692\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57281,
"style": "rule"
}
|
{
"exact_answer": 57281,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TWU\", \"id\": 0}, {\"name\": \"AXU\", \"id\": 1}, {\"name\": \"EIS\", \"id\": 2}, {\"name\": \"JST\", \"id\": 3}, {\"name\": \"WGP\", \"id\": 4}, {\"name\": \"TNN\", \"id\": 5}, {\"name\": \"CJA\", \"id\": 6}, {\"name\": \"BGO\", \"id\": 7}, {\"name\": \"JUK\", \"id\": 8}], \"links\": [{\"weight\": 11022, \"source\": 0, \"target\": 7}, {\"weight\": 17695, \"source\": 0, \"target\": 2}, {\"weight\": 2775, \"source\": 0, \"target\": 5}, {\"weight\": 9621, \"source\": 0, \"target\": 1}, {\"weight\": 14582, \"source\": 0, \"target\": 8}, {\"weight\": 2066, \"source\": 0, \"target\": 4}, {\"weight\": 20411, \"source\": 0, \"target\": 6}, {\"weight\": 15316, \"source\": 0, \"target\": 3}, {\"weight\": 6923, \"source\": 1, \"target\": 7}, {\"weight\": 13023, \"source\": 1, \"target\": 2}, {\"weight\": 9328, \"source\": 1, \"target\": 5}, {\"weight\": 10161, \"source\": 1, \"target\": 8}, {\"weight\": 10568, \"source\": 1, \"target\": 4}, {\"weight\": 14571, \"source\": 1, \"target\": 6}, {\"weight\": 12329, \"source\": 1, \"target\": 3}, {\"weight\": 7962, \"source\": 2, \"target\": 7}, {\"weight\": 16283, \"source\": 2, \"target\": 5}, {\"weight\": 8855, \"source\": 2, \"target\": 8}, {\"weight\": 19596, \"source\": 2, \"target\": 4}, {\"weight\": 4348, \"source\": 2, \"target\": 6}, {\"weight\": 2827, \"source\": 2, \"target\": 3}, {\"weight\": 6161, \"source\": 3, \"target\": 7}, {\"weight\": 13945, \"source\": 3, \"target\": 5}, {\"weight\": 6889, \"source\": 3, \"target\": 8}, {\"weight\": 17207, \"source\": 3, \"target\": 4}, {\"weight\": 6441, \"source\": 3, \"target\": 6}, {\"weight\": 12524, \"source\": 4, \"target\": 7}, {\"weight\": 4677, \"source\": 4, \"target\": 5}, {\"weight\": 16083, \"source\": 4, \"target\": 8}, {\"weight\": 19558, \"source\": 4, \"target\": 6}, {\"weight\": 9545, \"source\": 5, \"target\": 7}, {\"weight\": 13105, \"source\": 5, \"target\": 8}, {\"weight\": 19597, \"source\": 5, \"target\": 6}, {\"weight\": 11752, \"source\": 6, \"target\": 7}, {\"weight\": 12788, \"source\": 6, \"target\": 8}, {\"weight\": 3692, \"source\": 7, \"target\": 8}]}",
"id": 1100,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWU, AXU, EIS, JST, WGP, TNN, CJA, BGO, JUK\n- Travel distances (in kilometers) between each pair of airports:\nTWU to BGO: 11022\nTWU to EIS: 17695\nTWU to TNN: 2775\nTWU to AXU: 9621\nTWU to JUK: 14582\nTWU to WGP: 2066\nTWU to CJA: 20411\nTWU to JST: 15316\nAXU to BGO: 6923\nAXU to EIS: 13023\nAXU to TNN: 9328\nAXU to JUK: 10161\nAXU to WGP: 10568\nAXU to CJA: 14571\nAXU to JST: 12329\nEIS to BGO: 7962\nEIS to TNN: 16283\nEIS to JUK: 8855\nEIS to WGP: 19596\nEIS to CJA: 4348\nEIS to JST: 2827\nJST to BGO: 6161\nJST to TNN: 13945\nJST to JUK: 6889\nJST to WGP: 17207\nJST to CJA: 6441\nWGP to BGO: 12524\nWGP to TNN: 4677\nWGP to JUK: 16083\nWGP to CJA: 19558\nTNN to BGO: 9545\nTNN to JUK: 13105\nTNN to CJA: 19597\nCJA to BGO: 11752\nCJA to JUK: 12788\nBGO to JUK: 3692\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, TWB, YQK, HER, CZM, CPD, RDC, PEW, DAR\n- Travel distances (in kilometers) between each pair of airports:\nAAX to CZM: 7162\nAAX to HER: 10825\nAAX to DAR: 10564\nAAX to PEW: 14670\nAAX to YQK: 9982\nAAX to TWB: 15460\nAAX to RDC: 2599\nAAX to CPD: 16657\nTWB to CZM: 15115\nTWB to HER: 15199\nTWB to DAR: 12190\nTWB to PEW: 11093\nTWB to YQK: 14093\nTWB to RDC: 17006\nTWB to CPD: 2487\nYQK to CZM: 3612\nYQK to HER: 9732\nYQK to DAR: 14504\nYQK to PEW: 12462\nYQK to RDC: 8024\nYQK to CPD: 16342\nHER to CZM: 10610\nHER to DAR: 5326\nHER to PEW: 4284\nHER to RDC: 10126\nHER to CPD: 14855\nCZM to DAR: 14900\nCZM to PEW: 13712\nCZM to RDC: 5934\nCZM to CPD: 17364\nCPD to DAR: 11327\nCPD to PEW: 11105\nCPD to RDC: 18203\nRDC to DAR: 11643\nRDC to PEW: 14002\nPEW to DAR: 5700\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60004,
"style": "rule"
}
|
{
"exact_answer": 60004,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAX\", \"id\": 0}, {\"name\": \"TWB\", \"id\": 1}, {\"name\": \"YQK\", \"id\": 2}, {\"name\": \"HER\", \"id\": 3}, {\"name\": \"CZM\", \"id\": 4}, {\"name\": \"CPD\", \"id\": 5}, {\"name\": \"RDC\", \"id\": 6}, {\"name\": \"PEW\", \"id\": 7}, {\"name\": \"DAR\", \"id\": 8}], \"links\": [{\"weight\": 7162, \"source\": 0, \"target\": 4}, {\"weight\": 10825, \"source\": 0, \"target\": 3}, {\"weight\": 10564, \"source\": 0, \"target\": 8}, {\"weight\": 14670, \"source\": 0, \"target\": 7}, {\"weight\": 9982, \"source\": 0, \"target\": 2}, {\"weight\": 15460, \"source\": 0, \"target\": 1}, {\"weight\": 2599, \"source\": 0, \"target\": 6}, {\"weight\": 16657, \"source\": 0, \"target\": 5}, {\"weight\": 15115, \"source\": 1, \"target\": 4}, {\"weight\": 15199, \"source\": 1, \"target\": 3}, {\"weight\": 12190, \"source\": 1, \"target\": 8}, {\"weight\": 11093, \"source\": 1, \"target\": 7}, {\"weight\": 14093, \"source\": 1, \"target\": 2}, {\"weight\": 17006, \"source\": 1, \"target\": 6}, {\"weight\": 2487, \"source\": 1, \"target\": 5}, {\"weight\": 3612, \"source\": 2, \"target\": 4}, {\"weight\": 9732, \"source\": 2, \"target\": 3}, {\"weight\": 14504, \"source\": 2, \"target\": 8}, {\"weight\": 12462, \"source\": 2, \"target\": 7}, {\"weight\": 8024, \"source\": 2, \"target\": 6}, {\"weight\": 16342, \"source\": 2, \"target\": 5}, {\"weight\": 10610, \"source\": 3, \"target\": 4}, {\"weight\": 5326, \"source\": 3, \"target\": 8}, {\"weight\": 4284, \"source\": 3, \"target\": 7}, {\"weight\": 10126, \"source\": 3, \"target\": 6}, {\"weight\": 14855, \"source\": 3, \"target\": 5}, {\"weight\": 14900, \"source\": 4, \"target\": 8}, {\"weight\": 13712, \"source\": 4, \"target\": 7}, {\"weight\": 5934, \"source\": 4, \"target\": 6}, {\"weight\": 17364, \"source\": 4, \"target\": 5}, {\"weight\": 11327, \"source\": 5, \"target\": 8}, {\"weight\": 11105, \"source\": 5, \"target\": 7}, {\"weight\": 18203, \"source\": 5, \"target\": 6}, {\"weight\": 11643, \"source\": 6, \"target\": 8}, {\"weight\": 14002, \"source\": 6, \"target\": 7}, {\"weight\": 5700, \"source\": 7, \"target\": 8}]}",
"id": 1101,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, TWB, YQK, HER, CZM, CPD, RDC, PEW, DAR\n- Travel distances (in kilometers) between each pair of airports:\nAAX to CZM: 7162\nAAX to HER: 10825\nAAX to DAR: 10564\nAAX to PEW: 14670\nAAX to YQK: 9982\nAAX to TWB: 15460\nAAX to RDC: 2599\nAAX to CPD: 16657\nTWB to CZM: 15115\nTWB to HER: 15199\nTWB to DAR: 12190\nTWB to PEW: 11093\nTWB to YQK: 14093\nTWB to RDC: 17006\nTWB to CPD: 2487\nYQK to CZM: 3612\nYQK to HER: 9732\nYQK to DAR: 14504\nYQK to PEW: 12462\nYQK to RDC: 8024\nYQK to CPD: 16342\nHER to CZM: 10610\nHER to DAR: 5326\nHER to PEW: 4284\nHER to RDC: 10126\nHER to CPD: 14855\nCZM to DAR: 14900\nCZM to PEW: 13712\nCZM to RDC: 5934\nCZM to CPD: 17364\nCPD to DAR: 11327\nCPD to PEW: 11105\nCPD to RDC: 18203\nRDC to DAR: 11643\nRDC to PEW: 14002\nPEW to DAR: 5700\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OSM, CEC, CGN, DAX, SDE, MUB, YKA, JBQ, YXH\n- Travel distances (in kilometers) between each pair of airports:\nOSM to CGN: 3338\nOSM to YKA: 11109\nOSM to YXH: 10919\nOSM to SDE: 14176\nOSM to MUB: 7396\nOSM to DAX: 8189\nOSM to JBQ: 11183\nOSM to CEC: 12653\nCEC to CGN: 9448\nCEC to YKA: 1851\nCEC to YXH: 2334\nCEC to SDE: 11830\nCEC to MUB: 17029\nCEC to DAX: 11256\nCEC to JBQ: 5912\nCGN to YKA: 7848\nCGN to YXH: 7658\nCGN to SDE: 12404\nCGN to MUB: 9312\nCGN to DAX: 9093\nCGN to JBQ: 8067\nDAX to YKA: 10022\nDAX to YXH: 10713\nDAX to SDE: 20376\nDAX to MUB: 11351\nDAX to JBQ: 14949\nSDE to YKA: 12435\nSDE to YXH: 12245\nSDE to MUB: 10916\nSDE to JBQ: 7582\nMUB to YKA: 16290\nMUB to YXH: 16100\nMUB to JBQ: 13741\nYKA to YXH: 714\nYKA to JBQ: 5851\nJBQ to YXH: 5661\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57307,
"style": "rule"
}
|
{
"exact_answer": 57307,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OSM\", \"id\": 0}, {\"name\": \"CEC\", \"id\": 1}, {\"name\": \"CGN\", \"id\": 2}, {\"name\": \"DAX\", \"id\": 3}, {\"name\": \"SDE\", \"id\": 4}, {\"name\": \"MUB\", \"id\": 5}, {\"name\": \"YKA\", \"id\": 6}, {\"name\": \"JBQ\", \"id\": 7}, {\"name\": \"YXH\", \"id\": 8}], \"links\": [{\"weight\": 3338, \"source\": 0, \"target\": 2}, {\"weight\": 11109, \"source\": 0, \"target\": 6}, {\"weight\": 10919, \"source\": 0, \"target\": 8}, {\"weight\": 14176, \"source\": 0, \"target\": 4}, {\"weight\": 7396, \"source\": 0, \"target\": 5}, {\"weight\": 8189, \"source\": 0, \"target\": 3}, {\"weight\": 11183, \"source\": 0, \"target\": 7}, {\"weight\": 12653, \"source\": 0, \"target\": 1}, {\"weight\": 9448, \"source\": 1, \"target\": 2}, {\"weight\": 1851, \"source\": 1, \"target\": 6}, {\"weight\": 2334, \"source\": 1, \"target\": 8}, {\"weight\": 11830, \"source\": 1, \"target\": 4}, {\"weight\": 17029, \"source\": 1, \"target\": 5}, {\"weight\": 11256, \"source\": 1, \"target\": 3}, {\"weight\": 5912, \"source\": 1, \"target\": 7}, {\"weight\": 7848, \"source\": 2, \"target\": 6}, {\"weight\": 7658, \"source\": 2, \"target\": 8}, {\"weight\": 12404, \"source\": 2, \"target\": 4}, {\"weight\": 9312, \"source\": 2, \"target\": 5}, {\"weight\": 9093, \"source\": 2, \"target\": 3}, {\"weight\": 8067, \"source\": 2, \"target\": 7}, {\"weight\": 10022, \"source\": 3, \"target\": 6}, {\"weight\": 10713, \"source\": 3, \"target\": 8}, {\"weight\": 20376, \"source\": 3, \"target\": 4}, {\"weight\": 11351, \"source\": 3, \"target\": 5}, {\"weight\": 14949, \"source\": 3, \"target\": 7}, {\"weight\": 12435, \"source\": 4, \"target\": 6}, {\"weight\": 12245, \"source\": 4, \"target\": 8}, {\"weight\": 10916, \"source\": 4, \"target\": 5}, {\"weight\": 7582, \"source\": 4, \"target\": 7}, {\"weight\": 16290, \"source\": 5, \"target\": 6}, {\"weight\": 16100, \"source\": 5, \"target\": 8}, {\"weight\": 13741, \"source\": 5, \"target\": 7}, {\"weight\": 714, \"source\": 6, \"target\": 8}, {\"weight\": 5851, \"source\": 6, \"target\": 7}, {\"weight\": 5661, \"source\": 7, \"target\": 8}]}",
"id": 1102,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OSM, CEC, CGN, DAX, SDE, MUB, YKA, JBQ, YXH\n- Travel distances (in kilometers) between each pair of airports:\nOSM to CGN: 3338\nOSM to YKA: 11109\nOSM to YXH: 10919\nOSM to SDE: 14176\nOSM to MUB: 7396\nOSM to DAX: 8189\nOSM to JBQ: 11183\nOSM to CEC: 12653\nCEC to CGN: 9448\nCEC to YKA: 1851\nCEC to YXH: 2334\nCEC to SDE: 11830\nCEC to MUB: 17029\nCEC to DAX: 11256\nCEC to JBQ: 5912\nCGN to YKA: 7848\nCGN to YXH: 7658\nCGN to SDE: 12404\nCGN to MUB: 9312\nCGN to DAX: 9093\nCGN to JBQ: 8067\nDAX to YKA: 10022\nDAX to YXH: 10713\nDAX to SDE: 20376\nDAX to MUB: 11351\nDAX to JBQ: 14949\nSDE to YKA: 12435\nSDE to YXH: 12245\nSDE to MUB: 10916\nSDE to JBQ: 7582\nMUB to YKA: 16290\nMUB to YXH: 16100\nMUB to JBQ: 13741\nYKA to YXH: 714\nYKA to JBQ: 5851\nJBQ to YXH: 5661\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSY, IAG, CZM, NDG, CTL, PIT, CMW, VXC, HOF\n- Travel distances (in kilometers) between each pair of airports:\nYSY to CZM: 6557\nYSY to PIT: 4914\nYSY to NDG: 12545\nYSY to CMW: 7037\nYSY to IAG: 6710\nYSY to HOF: 14030\nYSY to CTL: 15657\nYSY to VXC: 17923\nIAG to CZM: 2838\nIAG to PIT: 1889\nIAG to NDG: 13708\nIAG to CMW: 3240\nIAG to HOF: 12695\nIAG to CTL: 16782\nIAG to VXC: 16113\nCZM to PIT: 2309\nCZM to NDG: 13893\nCZM to CMW: 1066\nCZM to HOF: 13177\nCZM to CTL: 15684\nCZM to VXC: 15623\nNDG to PIT: 11907\nNDG to CMW: 14030\nNDG to HOF: 7422\nNDG to CTL: 9463\nNDG to VXC: 12120\nCTL to PIT: 15651\nCTL to CMW: 16636\nCTL to HOF: 12407\nCTL to VXC: 13918\nPIT to CMW: 2820\nPIT to HOF: 11206\nPIT to VXC: 14698\nCMW to HOF: 13124\nCMW to VXC: 15557\nVXC to HOF: 5431\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64237,
"style": "rule"
}
|
{
"exact_answer": 64237,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YSY\", \"id\": 0}, {\"name\": \"IAG\", \"id\": 1}, {\"name\": \"CZM\", \"id\": 2}, {\"name\": \"NDG\", \"id\": 3}, {\"name\": \"CTL\", \"id\": 4}, {\"name\": \"PIT\", \"id\": 5}, {\"name\": \"CMW\", \"id\": 6}, {\"name\": \"VXC\", \"id\": 7}, {\"name\": \"HOF\", \"id\": 8}], \"links\": [{\"weight\": 6557, \"source\": 0, \"target\": 2}, {\"weight\": 4914, \"source\": 0, \"target\": 5}, {\"weight\": 12545, \"source\": 0, \"target\": 3}, {\"weight\": 7037, \"source\": 0, \"target\": 6}, {\"weight\": 6710, \"source\": 0, \"target\": 1}, {\"weight\": 14030, \"source\": 0, \"target\": 8}, {\"weight\": 15657, \"source\": 0, \"target\": 4}, {\"weight\": 17923, \"source\": 0, \"target\": 7}, {\"weight\": 2838, \"source\": 1, \"target\": 2}, {\"weight\": 1889, \"source\": 1, \"target\": 5}, {\"weight\": 13708, \"source\": 1, \"target\": 3}, {\"weight\": 3240, \"source\": 1, \"target\": 6}, {\"weight\": 12695, \"source\": 1, \"target\": 8}, {\"weight\": 16782, \"source\": 1, \"target\": 4}, {\"weight\": 16113, \"source\": 1, \"target\": 7}, {\"weight\": 2309, \"source\": 2, \"target\": 5}, {\"weight\": 13893, \"source\": 2, \"target\": 3}, {\"weight\": 1066, \"source\": 2, \"target\": 6}, {\"weight\": 13177, \"source\": 2, \"target\": 8}, {\"weight\": 15684, \"source\": 2, \"target\": 4}, {\"weight\": 15623, \"source\": 2, \"target\": 7}, {\"weight\": 11907, \"source\": 3, \"target\": 5}, {\"weight\": 14030, \"source\": 3, \"target\": 6}, {\"weight\": 7422, \"source\": 3, \"target\": 8}, {\"weight\": 9463, \"source\": 3, \"target\": 4}, {\"weight\": 12120, \"source\": 3, \"target\": 7}, {\"weight\": 15651, \"source\": 4, \"target\": 5}, {\"weight\": 16636, \"source\": 4, \"target\": 6}, {\"weight\": 12407, \"source\": 4, \"target\": 8}, {\"weight\": 13918, \"source\": 4, \"target\": 7}, {\"weight\": 2820, \"source\": 5, \"target\": 6}, {\"weight\": 11206, \"source\": 5, \"target\": 8}, {\"weight\": 14698, \"source\": 5, \"target\": 7}, {\"weight\": 13124, \"source\": 6, \"target\": 8}, {\"weight\": 15557, \"source\": 6, \"target\": 7}, {\"weight\": 5431, \"source\": 7, \"target\": 8}]}",
"id": 1103,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSY, IAG, CZM, NDG, CTL, PIT, CMW, VXC, HOF\n- Travel distances (in kilometers) between each pair of airports:\nYSY to CZM: 6557\nYSY to PIT: 4914\nYSY to NDG: 12545\nYSY to CMW: 7037\nYSY to IAG: 6710\nYSY to HOF: 14030\nYSY to CTL: 15657\nYSY to VXC: 17923\nIAG to CZM: 2838\nIAG to PIT: 1889\nIAG to NDG: 13708\nIAG to CMW: 3240\nIAG to HOF: 12695\nIAG to CTL: 16782\nIAG to VXC: 16113\nCZM to PIT: 2309\nCZM to NDG: 13893\nCZM to CMW: 1066\nCZM to HOF: 13177\nCZM to CTL: 15684\nCZM to VXC: 15623\nNDG to PIT: 11907\nNDG to CMW: 14030\nNDG to HOF: 7422\nNDG to CTL: 9463\nNDG to VXC: 12120\nCTL to PIT: 15651\nCTL to CMW: 16636\nCTL to HOF: 12407\nCTL to VXC: 13918\nPIT to CMW: 2820\nPIT to HOF: 11206\nPIT to VXC: 14698\nCMW to HOF: 13124\nCMW to VXC: 15557\nVXC to HOF: 5431\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HTN, YQD, PHW, ARK, MKQ, HHN, KGQ, RJK\n- Travel distances (in kilometers) between each pair of airports:\nFON to RJK: 10124\nFON to HTN: 15797\nFON to HHN: 9687\nFON to MKQ: 21631\nFON to KGQ: 10218\nFON to YQD: 5300\nFON to ARK: 15844\nFON to PHW: 13478\nHTN to RJK: 6724\nHTN to HHN: 6902\nHTN to MKQ: 10584\nHTN to KGQ: 10424\nHTN to YQD: 14218\nHTN to ARK: 8841\nHTN to PHW: 11294\nYQD to RJK: 8860\nYQD to HHN: 8293\nYQD to MKQ: 18148\nYQD to KGQ: 8641\nYQD to ARK: 15385\nYQD to PHW: 15825\nPHW to RJK: 8874\nPHW to HHN: 9661\nPHW to MKQ: 13832\nPHW to KGQ: 13792\nPHW to ARK: 3299\nARK to RJK: 6801\nARK to HHN: 7588\nARK to MKQ: 13598\nARK to KGQ: 11928\nMKQ to RJK: 14746\nMKQ to HHN: 15232\nMKQ to KGQ: 18879\nHHN to RJK: 1074\nHHN to KGQ: 4803\nKGQ to RJK: 5412\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67501,
"style": "rule"
}
|
{
"exact_answer": 67501,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FON\", \"id\": 0}, {\"name\": \"HTN\", \"id\": 1}, {\"name\": \"YQD\", \"id\": 2}, {\"name\": \"PHW\", \"id\": 3}, {\"name\": \"ARK\", \"id\": 4}, {\"name\": \"MKQ\", \"id\": 5}, {\"name\": \"HHN\", \"id\": 6}, {\"name\": \"KGQ\", \"id\": 7}, {\"name\": \"RJK\", \"id\": 8}], \"links\": [{\"weight\": 10124, \"source\": 0, \"target\": 8}, {\"weight\": 15797, \"source\": 0, \"target\": 1}, {\"weight\": 9687, \"source\": 0, \"target\": 6}, {\"weight\": 21631, \"source\": 0, \"target\": 5}, {\"weight\": 10218, \"source\": 0, \"target\": 7}, {\"weight\": 5300, \"source\": 0, \"target\": 2}, {\"weight\": 15844, \"source\": 0, \"target\": 4}, {\"weight\": 13478, \"source\": 0, \"target\": 3}, {\"weight\": 6724, \"source\": 1, \"target\": 8}, {\"weight\": 6902, \"source\": 1, \"target\": 6}, {\"weight\": 10584, \"source\": 1, \"target\": 5}, {\"weight\": 10424, \"source\": 1, \"target\": 7}, {\"weight\": 14218, \"source\": 1, \"target\": 2}, {\"weight\": 8841, \"source\": 1, \"target\": 4}, {\"weight\": 11294, \"source\": 1, \"target\": 3}, {\"weight\": 8860, \"source\": 2, \"target\": 8}, {\"weight\": 8293, \"source\": 2, \"target\": 6}, {\"weight\": 18148, \"source\": 2, \"target\": 5}, {\"weight\": 8641, \"source\": 2, \"target\": 7}, {\"weight\": 15385, \"source\": 2, \"target\": 4}, {\"weight\": 15825, \"source\": 2, \"target\": 3}, {\"weight\": 8874, \"source\": 3, \"target\": 8}, {\"weight\": 9661, \"source\": 3, \"target\": 6}, {\"weight\": 13832, \"source\": 3, \"target\": 5}, {\"weight\": 13792, \"source\": 3, \"target\": 7}, {\"weight\": 3299, \"source\": 3, \"target\": 4}, {\"weight\": 6801, \"source\": 4, \"target\": 8}, {\"weight\": 7588, \"source\": 4, \"target\": 6}, {\"weight\": 13598, \"source\": 4, \"target\": 5}, {\"weight\": 11928, \"source\": 4, \"target\": 7}, {\"weight\": 14746, \"source\": 5, \"target\": 8}, {\"weight\": 15232, \"source\": 5, \"target\": 6}, {\"weight\": 18879, \"source\": 5, \"target\": 7}, {\"weight\": 1074, \"source\": 6, \"target\": 8}, {\"weight\": 4803, \"source\": 6, \"target\": 7}, {\"weight\": 5412, \"source\": 7, \"target\": 8}]}",
"id": 1104,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, HTN, YQD, PHW, ARK, MKQ, HHN, KGQ, RJK\n- Travel distances (in kilometers) between each pair of airports:\nFON to RJK: 10124\nFON to HTN: 15797\nFON to HHN: 9687\nFON to MKQ: 21631\nFON to KGQ: 10218\nFON to YQD: 5300\nFON to ARK: 15844\nFON to PHW: 13478\nHTN to RJK: 6724\nHTN to HHN: 6902\nHTN to MKQ: 10584\nHTN to KGQ: 10424\nHTN to YQD: 14218\nHTN to ARK: 8841\nHTN to PHW: 11294\nYQD to RJK: 8860\nYQD to HHN: 8293\nYQD to MKQ: 18148\nYQD to KGQ: 8641\nYQD to ARK: 15385\nYQD to PHW: 15825\nPHW to RJK: 8874\nPHW to HHN: 9661\nPHW to MKQ: 13832\nPHW to KGQ: 13792\nPHW to ARK: 3299\nARK to RJK: 6801\nARK to HHN: 7588\nARK to MKQ: 13598\nARK to KGQ: 11928\nMKQ to RJK: 14746\nMKQ to HHN: 15232\nMKQ to KGQ: 18879\nHHN to RJK: 1074\nHHN to KGQ: 4803\nKGQ to RJK: 5412\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BSA, PND, QFN, MSN, YUB, LKN, OME, GSE, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nBSA to YUB: 15578\nBSA to OME: 17388\nBSA to PND: 14941\nBSA to MSN: 13132\nBSA to GSE: 6467\nBSA to AOQ: 10383\nBSA to QFN: 10422\nBSA to LKN: 7545\nPND to YUB: 6983\nPND to OME: 7850\nPND to MSN: 3100\nPND to GSE: 9278\nPND to AOQ: 9680\nPND to QFN: 9298\nPND to LKN: 9451\nQFN to YUB: 9224\nQFN to OME: 11034\nQFN to MSN: 7046\nQFN to GSE: 4364\nQFN to AOQ: 1572\nQFN to LKN: 4221\nMSN to YUB: 4378\nMSN to OME: 5272\nMSN to GSE: 7342\nMSN to AOQ: 7428\nMSN to LKN: 7199\nYUB to OME: 6355\nYUB to GSE: 9520\nYUB to AOQ: 9606\nYUB to LKN: 9377\nLKN to OME: 11187\nLKN to GSE: 1722\nLKN to AOQ: 4603\nOME to GSE: 11330\nOME to AOQ: 11416\nGSE to AOQ: 4746\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53256,
"style": "rule"
}
|
{
"exact_answer": 53256,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BSA\", \"id\": 0}, {\"name\": \"PND\", \"id\": 1}, {\"name\": \"QFN\", \"id\": 2}, {\"name\": \"MSN\", \"id\": 3}, {\"name\": \"YUB\", \"id\": 4}, {\"name\": \"LKN\", \"id\": 5}, {\"name\": \"OME\", \"id\": 6}, {\"name\": \"GSE\", \"id\": 7}, {\"name\": \"AOQ\", \"id\": 8}], \"links\": [{\"weight\": 15578, \"source\": 0, \"target\": 4}, {\"weight\": 17388, \"source\": 0, \"target\": 6}, {\"weight\": 14941, \"source\": 0, \"target\": 1}, {\"weight\": 13132, \"source\": 0, \"target\": 3}, {\"weight\": 6467, \"source\": 0, \"target\": 7}, {\"weight\": 10383, \"source\": 0, \"target\": 8}, {\"weight\": 10422, \"source\": 0, \"target\": 2}, {\"weight\": 7545, \"source\": 0, \"target\": 5}, {\"weight\": 6983, \"source\": 1, \"target\": 4}, {\"weight\": 7850, \"source\": 1, \"target\": 6}, {\"weight\": 3100, \"source\": 1, \"target\": 3}, {\"weight\": 9278, \"source\": 1, \"target\": 7}, {\"weight\": 9680, \"source\": 1, \"target\": 8}, {\"weight\": 9298, \"source\": 1, \"target\": 2}, {\"weight\": 9451, \"source\": 1, \"target\": 5}, {\"weight\": 9224, \"source\": 2, \"target\": 4}, {\"weight\": 11034, \"source\": 2, \"target\": 6}, {\"weight\": 7046, \"source\": 2, \"target\": 3}, {\"weight\": 4364, \"source\": 2, \"target\": 7}, {\"weight\": 1572, \"source\": 2, \"target\": 8}, {\"weight\": 4221, \"source\": 2, \"target\": 5}, {\"weight\": 4378, \"source\": 3, \"target\": 4}, {\"weight\": 5272, \"source\": 3, \"target\": 6}, {\"weight\": 7342, \"source\": 3, \"target\": 7}, {\"weight\": 7428, \"source\": 3, \"target\": 8}, {\"weight\": 7199, \"source\": 3, \"target\": 5}, {\"weight\": 6355, \"source\": 4, \"target\": 6}, {\"weight\": 9520, \"source\": 4, \"target\": 7}, {\"weight\": 9606, \"source\": 4, \"target\": 8}, {\"weight\": 9377, \"source\": 4, \"target\": 5}, {\"weight\": 11187, \"source\": 5, \"target\": 6}, {\"weight\": 1722, \"source\": 5, \"target\": 7}, {\"weight\": 4603, \"source\": 5, \"target\": 8}, {\"weight\": 11330, \"source\": 6, \"target\": 7}, {\"weight\": 11416, \"source\": 6, \"target\": 8}, {\"weight\": 4746, \"source\": 7, \"target\": 8}]}",
"id": 1105,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BSA, PND, QFN, MSN, YUB, LKN, OME, GSE, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nBSA to YUB: 15578\nBSA to OME: 17388\nBSA to PND: 14941\nBSA to MSN: 13132\nBSA to GSE: 6467\nBSA to AOQ: 10383\nBSA to QFN: 10422\nBSA to LKN: 7545\nPND to YUB: 6983\nPND to OME: 7850\nPND to MSN: 3100\nPND to GSE: 9278\nPND to AOQ: 9680\nPND to QFN: 9298\nPND to LKN: 9451\nQFN to YUB: 9224\nQFN to OME: 11034\nQFN to MSN: 7046\nQFN to GSE: 4364\nQFN to AOQ: 1572\nQFN to LKN: 4221\nMSN to YUB: 4378\nMSN to OME: 5272\nMSN to GSE: 7342\nMSN to AOQ: 7428\nMSN to LKN: 7199\nYUB to OME: 6355\nYUB to GSE: 9520\nYUB to AOQ: 9606\nYUB to LKN: 9377\nLKN to OME: 11187\nLKN to GSE: 1722\nLKN to AOQ: 4603\nOME to GSE: 11330\nOME to AOQ: 11416\nGSE to AOQ: 4746\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CBH, TKS, RZE, LNJ, LYP, YPN, UKX, KLG, LUW\n- Travel distances (in kilometers) between each pair of airports:\nCBH to UKX: 8860\nCBH to KLG: 12658\nCBH to LNJ: 10447\nCBH to RZE: 2965\nCBH to LYP: 7969\nCBH to TKS: 12069\nCBH to LUW: 14158\nCBH to YPN: 7350\nTKS to UKX: 4653\nTKS to KLG: 11085\nTKS to LNJ: 4518\nTKS to RZE: 9682\nTKS to LYP: 8344\nTKS to LUW: 6535\nTKS to YPN: 12650\nRZE to UKX: 6117\nRZE to KLG: 11732\nRZE to LNJ: 8120\nRZE to LYP: 6105\nRZE to LUW: 12139\nRZE to YPN: 6707\nLNJ to UKX: 4574\nLNJ to KLG: 13969\nLNJ to LYP: 4814\nLNJ to LUW: 5256\nLNJ to YPN: 14327\nLYP to UKX: 6317\nLYP to KLG: 16909\nLYP to LUW: 8099\nLYP to YPN: 12351\nYPN to UKX: 12163\nYPN to KLG: 7032\nYPN to LUW: 17637\nUKX to KLG: 13717\nUKX to LUW: 7933\nKLG to LUW: 16589\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57119,
"style": "rule"
}
|
{
"exact_answer": 57119,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CBH\", \"id\": 0}, {\"name\": \"TKS\", \"id\": 1}, {\"name\": \"RZE\", \"id\": 2}, {\"name\": \"LNJ\", \"id\": 3}, {\"name\": \"LYP\", \"id\": 4}, {\"name\": \"YPN\", \"id\": 5}, {\"name\": \"UKX\", \"id\": 6}, {\"name\": \"KLG\", \"id\": 7}, {\"name\": \"LUW\", \"id\": 8}], \"links\": [{\"weight\": 8860, \"source\": 0, \"target\": 6}, {\"weight\": 12658, \"source\": 0, \"target\": 7}, {\"weight\": 10447, \"source\": 0, \"target\": 3}, {\"weight\": 2965, \"source\": 0, \"target\": 2}, {\"weight\": 7969, \"source\": 0, \"target\": 4}, {\"weight\": 12069, \"source\": 0, \"target\": 1}, {\"weight\": 14158, \"source\": 0, \"target\": 8}, {\"weight\": 7350, \"source\": 0, \"target\": 5}, {\"weight\": 4653, \"source\": 1, \"target\": 6}, {\"weight\": 11085, \"source\": 1, \"target\": 7}, {\"weight\": 4518, \"source\": 1, \"target\": 3}, {\"weight\": 9682, \"source\": 1, \"target\": 2}, {\"weight\": 8344, \"source\": 1, \"target\": 4}, {\"weight\": 6535, \"source\": 1, \"target\": 8}, {\"weight\": 12650, \"source\": 1, \"target\": 5}, {\"weight\": 6117, \"source\": 2, \"target\": 6}, {\"weight\": 11732, \"source\": 2, \"target\": 7}, {\"weight\": 8120, \"source\": 2, \"target\": 3}, {\"weight\": 6105, \"source\": 2, \"target\": 4}, {\"weight\": 12139, \"source\": 2, \"target\": 8}, {\"weight\": 6707, \"source\": 2, \"target\": 5}, {\"weight\": 4574, \"source\": 3, \"target\": 6}, {\"weight\": 13969, \"source\": 3, \"target\": 7}, {\"weight\": 4814, \"source\": 3, \"target\": 4}, {\"weight\": 5256, \"source\": 3, \"target\": 8}, {\"weight\": 14327, \"source\": 3, \"target\": 5}, {\"weight\": 6317, \"source\": 4, \"target\": 6}, {\"weight\": 16909, \"source\": 4, \"target\": 7}, {\"weight\": 8099, \"source\": 4, \"target\": 8}, {\"weight\": 12351, \"source\": 4, \"target\": 5}, {\"weight\": 12163, \"source\": 5, \"target\": 6}, {\"weight\": 7032, \"source\": 5, \"target\": 7}, {\"weight\": 17637, \"source\": 5, \"target\": 8}, {\"weight\": 13717, \"source\": 6, \"target\": 7}, {\"weight\": 7933, \"source\": 6, \"target\": 8}, {\"weight\": 16589, \"source\": 7, \"target\": 8}]}",
"id": 1106,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CBH, TKS, RZE, LNJ, LYP, YPN, UKX, KLG, LUW\n- Travel distances (in kilometers) between each pair of airports:\nCBH to UKX: 8860\nCBH to KLG: 12658\nCBH to LNJ: 10447\nCBH to RZE: 2965\nCBH to LYP: 7969\nCBH to TKS: 12069\nCBH to LUW: 14158\nCBH to YPN: 7350\nTKS to UKX: 4653\nTKS to KLG: 11085\nTKS to LNJ: 4518\nTKS to RZE: 9682\nTKS to LYP: 8344\nTKS to LUW: 6535\nTKS to YPN: 12650\nRZE to UKX: 6117\nRZE to KLG: 11732\nRZE to LNJ: 8120\nRZE to LYP: 6105\nRZE to LUW: 12139\nRZE to YPN: 6707\nLNJ to UKX: 4574\nLNJ to KLG: 13969\nLNJ to LYP: 4814\nLNJ to LUW: 5256\nLNJ to YPN: 14327\nLYP to UKX: 6317\nLYP to KLG: 16909\nLYP to LUW: 8099\nLYP to YPN: 12351\nYPN to UKX: 12163\nYPN to KLG: 7032\nYPN to LUW: 17637\nUKX to KLG: 13717\nUKX to LUW: 7933\nKLG to LUW: 16589\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VPS, ERF, NWI, SKO, VDZ, BGR, TUU, BIO\n- Travel distances (in kilometers) between each pair of airports:\nKVX to BIO: 3955\nKVX to VDZ: 12173\nKVX to BGR: 8614\nKVX to VPS: 9587\nKVX to NWI: 3105\nKVX to TUU: 4310\nKVX to ERF: 3994\nKVX to SKO: 7153\nVPS to BIO: 7682\nVPS to VDZ: 6104\nVPS to BGR: 2218\nVPS to NWI: 7220\nVPS to TUU: 11157\nVPS to ERF: 7955\nVPS to SKO: 10797\nERF to BIO: 1845\nERF to VDZ: 11050\nERF to BGR: 6950\nERF to NWI: 1381\nERF to TUU: 4502\nERF to SKO: 5559\nNWI to BIO: 1367\nNWI to VDZ: 10193\nNWI to BGR: 6220\nNWI to TUU: 4066\nNWI to SKO: 5595\nSKO to BIO: 4765\nSKO to VDZ: 15097\nSKO to BGR: 10300\nSKO to TUU: 4463\nVDZ to BIO: 11108\nVDZ to BGR: 6294\nVDZ to TUU: 14182\nBGR to BIO: 6697\nBGR to TUU: 10164\nTUU to BIO: 3913\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43479,
"style": "rule"
}
|
{
"exact_answer": 43479,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KVX\", \"id\": 0}, {\"name\": \"VPS\", \"id\": 1}, {\"name\": \"ERF\", \"id\": 2}, {\"name\": \"NWI\", \"id\": 3}, {\"name\": \"SKO\", \"id\": 4}, {\"name\": \"VDZ\", \"id\": 5}, {\"name\": \"BGR\", \"id\": 6}, {\"name\": \"TUU\", \"id\": 7}, {\"name\": \"BIO\", \"id\": 8}], \"links\": [{\"weight\": 3955, \"source\": 0, \"target\": 8}, {\"weight\": 12173, \"source\": 0, \"target\": 5}, {\"weight\": 8614, \"source\": 0, \"target\": 6}, {\"weight\": 9587, \"source\": 0, \"target\": 1}, {\"weight\": 3105, \"source\": 0, \"target\": 3}, {\"weight\": 4310, \"source\": 0, \"target\": 7}, {\"weight\": 3994, \"source\": 0, \"target\": 2}, {\"weight\": 7153, \"source\": 0, \"target\": 4}, {\"weight\": 7682, \"source\": 1, \"target\": 8}, {\"weight\": 6104, \"source\": 1, \"target\": 5}, {\"weight\": 2218, \"source\": 1, \"target\": 6}, {\"weight\": 7220, \"source\": 1, \"target\": 3}, {\"weight\": 11157, \"source\": 1, \"target\": 7}, {\"weight\": 7955, \"source\": 1, \"target\": 2}, {\"weight\": 10797, \"source\": 1, \"target\": 4}, {\"weight\": 1845, \"source\": 2, \"target\": 8}, {\"weight\": 11050, \"source\": 2, \"target\": 5}, {\"weight\": 6950, \"source\": 2, \"target\": 6}, {\"weight\": 1381, \"source\": 2, \"target\": 3}, {\"weight\": 4502, \"source\": 2, \"target\": 7}, {\"weight\": 5559, \"source\": 2, \"target\": 4}, {\"weight\": 1367, \"source\": 3, \"target\": 8}, {\"weight\": 10193, \"source\": 3, \"target\": 5}, {\"weight\": 6220, \"source\": 3, \"target\": 6}, {\"weight\": 4066, \"source\": 3, \"target\": 7}, {\"weight\": 5595, \"source\": 3, \"target\": 4}, {\"weight\": 4765, \"source\": 4, \"target\": 8}, {\"weight\": 15097, \"source\": 4, \"target\": 5}, {\"weight\": 10300, \"source\": 4, \"target\": 6}, {\"weight\": 4463, \"source\": 4, \"target\": 7}, {\"weight\": 11108, \"source\": 5, \"target\": 8}, {\"weight\": 6294, \"source\": 5, \"target\": 6}, {\"weight\": 14182, \"source\": 5, \"target\": 7}, {\"weight\": 6697, \"source\": 6, \"target\": 8}, {\"weight\": 10164, \"source\": 6, \"target\": 7}, {\"weight\": 3913, \"source\": 7, \"target\": 8}]}",
"id": 1107,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, VPS, ERF, NWI, SKO, VDZ, BGR, TUU, BIO\n- Travel distances (in kilometers) between each pair of airports:\nKVX to BIO: 3955\nKVX to VDZ: 12173\nKVX to BGR: 8614\nKVX to VPS: 9587\nKVX to NWI: 3105\nKVX to TUU: 4310\nKVX to ERF: 3994\nKVX to SKO: 7153\nVPS to BIO: 7682\nVPS to VDZ: 6104\nVPS to BGR: 2218\nVPS to NWI: 7220\nVPS to TUU: 11157\nVPS to ERF: 7955\nVPS to SKO: 10797\nERF to BIO: 1845\nERF to VDZ: 11050\nERF to BGR: 6950\nERF to NWI: 1381\nERF to TUU: 4502\nERF to SKO: 5559\nNWI to BIO: 1367\nNWI to VDZ: 10193\nNWI to BGR: 6220\nNWI to TUU: 4066\nNWI to SKO: 5595\nSKO to BIO: 4765\nSKO to VDZ: 15097\nSKO to BGR: 10300\nSKO to TUU: 4463\nVDZ to BIO: 11108\nVDZ to BGR: 6294\nVDZ to TUU: 14182\nBGR to BIO: 6697\nBGR to TUU: 10164\nTUU to BIO: 3913\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMA, DDC, NAP, AGR, DRO, DLI, HKT, SGC, BQK\n- Travel distances (in kilometers) between each pair of airports:\nRMA to HKT: 7197\nRMA to NAP: 16105\nRMA to SGC: 12557\nRMA to DRO: 13131\nRMA to BQK: 15361\nRMA to AGR: 10291\nRMA to DDC: 13827\nRMA to DLI: 7523\nDDC to HKT: 14739\nDDC to NAP: 9594\nDDC to SGC: 11610\nDDC to DRO: 872\nDDC to BQK: 2777\nDDC to AGR: 14820\nDDC to DLI: 13912\nNAP to HKT: 9138\nNAP to SGC: 4525\nNAP to DRO: 9528\nNAP to BQK: 8667\nNAP to AGR: 6966\nNAP to DLI: 9649\nAGR to HKT: 3471\nAGR to SGC: 5077\nAGR to DRO: 14754\nAGR to BQK: 14429\nAGR to DLI: 3732\nDRO to HKT: 14673\nDRO to SGC: 11544\nDRO to BQK: 2640\nDRO to DLI: 13846\nDLI to HKT: 1602\nDLI to SGC: 6383\nDLI to BQK: 15253\nHKT to SGC: 6282\nHKT to BQK: 15910\nSGC to BQK: 11150\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47580,
"style": "rule"
}
|
{
"exact_answer": 47580,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RMA\", \"id\": 0}, {\"name\": \"DDC\", \"id\": 1}, {\"name\": \"NAP\", \"id\": 2}, {\"name\": \"AGR\", \"id\": 3}, {\"name\": \"DRO\", \"id\": 4}, {\"name\": \"DLI\", \"id\": 5}, {\"name\": \"HKT\", \"id\": 6}, {\"name\": \"SGC\", \"id\": 7}, {\"name\": \"BQK\", \"id\": 8}], \"links\": [{\"weight\": 7197, \"source\": 0, \"target\": 6}, {\"weight\": 16105, \"source\": 0, \"target\": 2}, {\"weight\": 12557, \"source\": 0, \"target\": 7}, {\"weight\": 13131, \"source\": 0, \"target\": 4}, {\"weight\": 15361, \"source\": 0, \"target\": 8}, {\"weight\": 10291, \"source\": 0, \"target\": 3}, {\"weight\": 13827, \"source\": 0, \"target\": 1}, {\"weight\": 7523, \"source\": 0, \"target\": 5}, {\"weight\": 14739, \"source\": 1, \"target\": 6}, {\"weight\": 9594, \"source\": 1, \"target\": 2}, {\"weight\": 11610, \"source\": 1, \"target\": 7}, {\"weight\": 872, \"source\": 1, \"target\": 4}, {\"weight\": 2777, \"source\": 1, \"target\": 8}, {\"weight\": 14820, \"source\": 1, \"target\": 3}, {\"weight\": 13912, \"source\": 1, \"target\": 5}, {\"weight\": 9138, \"source\": 2, \"target\": 6}, {\"weight\": 4525, \"source\": 2, \"target\": 7}, {\"weight\": 9528, \"source\": 2, \"target\": 4}, {\"weight\": 8667, \"source\": 2, \"target\": 8}, {\"weight\": 6966, \"source\": 2, \"target\": 3}, {\"weight\": 9649, \"source\": 2, \"target\": 5}, {\"weight\": 3471, \"source\": 3, \"target\": 6}, {\"weight\": 5077, \"source\": 3, \"target\": 7}, {\"weight\": 14754, \"source\": 3, \"target\": 4}, {\"weight\": 14429, \"source\": 3, \"target\": 8}, {\"weight\": 3732, \"source\": 3, \"target\": 5}, {\"weight\": 14673, \"source\": 4, \"target\": 6}, {\"weight\": 11544, \"source\": 4, \"target\": 7}, {\"weight\": 2640, \"source\": 4, \"target\": 8}, {\"weight\": 13846, \"source\": 4, \"target\": 5}, {\"weight\": 1602, \"source\": 5, \"target\": 6}, {\"weight\": 6383, \"source\": 5, \"target\": 7}, {\"weight\": 15253, \"source\": 5, \"target\": 8}, {\"weight\": 6282, \"source\": 6, \"target\": 7}, {\"weight\": 15910, \"source\": 6, \"target\": 8}, {\"weight\": 11150, \"source\": 7, \"target\": 8}]}",
"id": 1108,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RMA, DDC, NAP, AGR, DRO, DLI, HKT, SGC, BQK\n- Travel distances (in kilometers) between each pair of airports:\nRMA to HKT: 7197\nRMA to NAP: 16105\nRMA to SGC: 12557\nRMA to DRO: 13131\nRMA to BQK: 15361\nRMA to AGR: 10291\nRMA to DDC: 13827\nRMA to DLI: 7523\nDDC to HKT: 14739\nDDC to NAP: 9594\nDDC to SGC: 11610\nDDC to DRO: 872\nDDC to BQK: 2777\nDDC to AGR: 14820\nDDC to DLI: 13912\nNAP to HKT: 9138\nNAP to SGC: 4525\nNAP to DRO: 9528\nNAP to BQK: 8667\nNAP to AGR: 6966\nNAP to DLI: 9649\nAGR to HKT: 3471\nAGR to SGC: 5077\nAGR to DRO: 14754\nAGR to BQK: 14429\nAGR to DLI: 3732\nDRO to HKT: 14673\nDRO to SGC: 11544\nDRO to BQK: 2640\nDRO to DLI: 13846\nDLI to HKT: 1602\nDLI to SGC: 6383\nDLI to BQK: 15253\nHKT to SGC: 6282\nHKT to BQK: 15910\nSGC to BQK: 11150\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBG, UPK, RMP, YTQ, FMI, THL, PNL, TME, BUD\n- Travel distances (in kilometers) between each pair of airports:\nPBG to YTQ: 2288\nPBG to BUD: 7037\nPBG to RMP: 6716\nPBG to THL: 14765\nPBG to TME: 4914\nPBG to FMI: 12781\nPBG to PNL: 7343\nPBG to UPK: 6665\nUPK to YTQ: 8309\nUPK to BUD: 5199\nUPK to RMP: 10872\nUPK to THL: 12924\nUPK to TME: 10935\nUPK to FMI: 12930\nUPK to PNL: 6274\nRMP to YTQ: 6833\nRMP to BUD: 11519\nRMP to THL: 14598\nRMP to TME: 9517\nRMP to FMI: 18657\nRMP to PNL: 12242\nYTQ to BUD: 7163\nYTQ to THL: 15229\nYTQ to TME: 6418\nYTQ to FMI: 14233\nYTQ to PNL: 7629\nFMI to BUD: 8397\nFMI to THL: 12227\nFMI to TME: 13775\nFMI to PNL: 8262\nTHL to BUD: 8260\nTHL to TME: 18434\nTHL to PNL: 9105\nPNL to BUD: 1328\nPNL to TME: 9904\nTME to BUD: 10217\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66444,
"style": "rule"
}
|
{
"exact_answer": 66444,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PBG\", \"id\": 0}, {\"name\": \"UPK\", \"id\": 1}, {\"name\": \"RMP\", \"id\": 2}, {\"name\": \"YTQ\", \"id\": 3}, {\"name\": \"FMI\", \"id\": 4}, {\"name\": \"THL\", \"id\": 5}, {\"name\": \"PNL\", \"id\": 6}, {\"name\": \"TME\", \"id\": 7}, {\"name\": \"BUD\", \"id\": 8}], \"links\": [{\"weight\": 2288, \"source\": 0, \"target\": 3}, {\"weight\": 7037, \"source\": 0, \"target\": 8}, {\"weight\": 6716, \"source\": 0, \"target\": 2}, {\"weight\": 14765, \"source\": 0, \"target\": 5}, {\"weight\": 4914, \"source\": 0, \"target\": 7}, {\"weight\": 12781, \"source\": 0, \"target\": 4}, {\"weight\": 7343, \"source\": 0, \"target\": 6}, {\"weight\": 6665, \"source\": 0, \"target\": 1}, {\"weight\": 8309, \"source\": 1, \"target\": 3}, {\"weight\": 5199, \"source\": 1, \"target\": 8}, {\"weight\": 10872, \"source\": 1, \"target\": 2}, {\"weight\": 12924, \"source\": 1, \"target\": 5}, {\"weight\": 10935, \"source\": 1, \"target\": 7}, {\"weight\": 12930, \"source\": 1, \"target\": 4}, {\"weight\": 6274, \"source\": 1, \"target\": 6}, {\"weight\": 6833, \"source\": 2, \"target\": 3}, {\"weight\": 11519, \"source\": 2, \"target\": 8}, {\"weight\": 14598, \"source\": 2, \"target\": 5}, {\"weight\": 9517, \"source\": 2, \"target\": 7}, {\"weight\": 18657, \"source\": 2, \"target\": 4}, {\"weight\": 12242, \"source\": 2, \"target\": 6}, {\"weight\": 7163, \"source\": 3, \"target\": 8}, {\"weight\": 15229, \"source\": 3, \"target\": 5}, {\"weight\": 6418, \"source\": 3, \"target\": 7}, {\"weight\": 14233, \"source\": 3, \"target\": 4}, {\"weight\": 7629, \"source\": 3, \"target\": 6}, {\"weight\": 8397, \"source\": 4, \"target\": 8}, {\"weight\": 12227, \"source\": 4, \"target\": 5}, {\"weight\": 13775, \"source\": 4, \"target\": 7}, {\"weight\": 8262, \"source\": 4, \"target\": 6}, {\"weight\": 8260, \"source\": 5, \"target\": 8}, {\"weight\": 18434, \"source\": 5, \"target\": 7}, {\"weight\": 9105, \"source\": 5, \"target\": 6}, {\"weight\": 1328, \"source\": 6, \"target\": 8}, {\"weight\": 9904, \"source\": 6, \"target\": 7}, {\"weight\": 10217, \"source\": 7, \"target\": 8}]}",
"id": 1109,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PBG, UPK, RMP, YTQ, FMI, THL, PNL, TME, BUD\n- Travel distances (in kilometers) between each pair of airports:\nPBG to YTQ: 2288\nPBG to BUD: 7037\nPBG to RMP: 6716\nPBG to THL: 14765\nPBG to TME: 4914\nPBG to FMI: 12781\nPBG to PNL: 7343\nPBG to UPK: 6665\nUPK to YTQ: 8309\nUPK to BUD: 5199\nUPK to RMP: 10872\nUPK to THL: 12924\nUPK to TME: 10935\nUPK to FMI: 12930\nUPK to PNL: 6274\nRMP to YTQ: 6833\nRMP to BUD: 11519\nRMP to THL: 14598\nRMP to TME: 9517\nRMP to FMI: 18657\nRMP to PNL: 12242\nYTQ to BUD: 7163\nYTQ to THL: 15229\nYTQ to TME: 6418\nYTQ to FMI: 14233\nYTQ to PNL: 7629\nFMI to BUD: 8397\nFMI to THL: 12227\nFMI to TME: 13775\nFMI to PNL: 8262\nTHL to BUD: 8260\nTHL to TME: 18434\nTHL to PNL: 9105\nPNL to BUD: 1328\nPNL to TME: 9904\nTME to BUD: 10217\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, LRS, LPD, KSN, MSA, VLN, ELU, NRA, LAX\n- Travel distances (in kilometers) between each pair of airports:\nOIM to LAX: 8905\nOIM to VLN: 14357\nOIM to LPD: 15816\nOIM to LRS: 10045\nOIM to ELU: 11405\nOIM to KSN: 6932\nOIM to MSA: 10273\nOIM to NRA: 8668\nLRS to LAX: 11397\nLRS to VLN: 10177\nLRS to LPD: 12085\nLRS to ELU: 2629\nLRS to KSN: 4188\nLRS to MSA: 9942\nLRS to NRA: 15858\nLPD to LAX: 7014\nLPD to VLN: 2675\nLPD to ELU: 10527\nLPD to KSN: 14106\nLPD to MSA: 7331\nLPD to NRA: 17439\nKSN to LAX: 11503\nKSN to VLN: 11895\nKSN to ELU: 5499\nKSN to MSA: 10750\nKSN to NRA: 13364\nMSA to LAX: 3246\nMSA to VLN: 5482\nMSA to ELU: 8811\nMSA to NRA: 15558\nVLN to LAX: 5830\nVLN to ELU: 8619\nVLN to NRA: 17213\nELU to LAX: 10589\nELU to NRA: 18022\nNRA to LAX: 12496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56784,
"style": "rule"
}
|
{
"exact_answer": 56784,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OIM\", \"id\": 0}, {\"name\": \"LRS\", \"id\": 1}, {\"name\": \"LPD\", \"id\": 2}, {\"name\": \"KSN\", \"id\": 3}, {\"name\": \"MSA\", \"id\": 4}, {\"name\": \"VLN\", \"id\": 5}, {\"name\": \"ELU\", \"id\": 6}, {\"name\": \"NRA\", \"id\": 7}, {\"name\": \"LAX\", \"id\": 8}], \"links\": [{\"weight\": 8905, \"source\": 0, \"target\": 8}, {\"weight\": 14357, \"source\": 0, \"target\": 5}, {\"weight\": 15816, \"source\": 0, \"target\": 2}, {\"weight\": 10045, \"source\": 0, \"target\": 1}, {\"weight\": 11405, \"source\": 0, \"target\": 6}, {\"weight\": 6932, \"source\": 0, \"target\": 3}, {\"weight\": 10273, \"source\": 0, \"target\": 4}, {\"weight\": 8668, \"source\": 0, \"target\": 7}, {\"weight\": 11397, \"source\": 1, \"target\": 8}, {\"weight\": 10177, \"source\": 1, \"target\": 5}, {\"weight\": 12085, \"source\": 1, \"target\": 2}, {\"weight\": 2629, \"source\": 1, \"target\": 6}, {\"weight\": 4188, \"source\": 1, \"target\": 3}, {\"weight\": 9942, \"source\": 1, \"target\": 4}, {\"weight\": 15858, \"source\": 1, \"target\": 7}, {\"weight\": 7014, \"source\": 2, \"target\": 8}, {\"weight\": 2675, \"source\": 2, \"target\": 5}, {\"weight\": 10527, \"source\": 2, \"target\": 6}, {\"weight\": 14106, \"source\": 2, \"target\": 3}, {\"weight\": 7331, \"source\": 2, \"target\": 4}, {\"weight\": 17439, \"source\": 2, \"target\": 7}, {\"weight\": 11503, \"source\": 3, \"target\": 8}, {\"weight\": 11895, \"source\": 3, \"target\": 5}, {\"weight\": 5499, \"source\": 3, \"target\": 6}, {\"weight\": 10750, \"source\": 3, \"target\": 4}, {\"weight\": 13364, \"source\": 3, \"target\": 7}, {\"weight\": 3246, \"source\": 4, \"target\": 8}, {\"weight\": 5482, \"source\": 4, \"target\": 5}, {\"weight\": 8811, \"source\": 4, \"target\": 6}, {\"weight\": 15558, \"source\": 4, \"target\": 7}, {\"weight\": 5830, \"source\": 5, \"target\": 8}, {\"weight\": 8619, \"source\": 5, \"target\": 6}, {\"weight\": 17213, \"source\": 5, \"target\": 7}, {\"weight\": 10589, \"source\": 6, \"target\": 8}, {\"weight\": 18022, \"source\": 6, \"target\": 7}, {\"weight\": 12496, \"source\": 7, \"target\": 8}]}",
"id": 1110,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OIM, LRS, LPD, KSN, MSA, VLN, ELU, NRA, LAX\n- Travel distances (in kilometers) between each pair of airports:\nOIM to LAX: 8905\nOIM to VLN: 14357\nOIM to LPD: 15816\nOIM to LRS: 10045\nOIM to ELU: 11405\nOIM to KSN: 6932\nOIM to MSA: 10273\nOIM to NRA: 8668\nLRS to LAX: 11397\nLRS to VLN: 10177\nLRS to LPD: 12085\nLRS to ELU: 2629\nLRS to KSN: 4188\nLRS to MSA: 9942\nLRS to NRA: 15858\nLPD to LAX: 7014\nLPD to VLN: 2675\nLPD to ELU: 10527\nLPD to KSN: 14106\nLPD to MSA: 7331\nLPD to NRA: 17439\nKSN to LAX: 11503\nKSN to VLN: 11895\nKSN to ELU: 5499\nKSN to MSA: 10750\nKSN to NRA: 13364\nMSA to LAX: 3246\nMSA to VLN: 5482\nMSA to ELU: 8811\nMSA to NRA: 15558\nVLN to LAX: 5830\nVLN to ELU: 8619\nVLN to NRA: 17213\nELU to LAX: 10589\nELU to NRA: 18022\nNRA to LAX: 12496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYH, SVR, MNS, YQD, TUF, JGN, BJI, CEI, GRW\n- Travel distances (in kilometers) between each pair of airports:\nPYH to JGN: 16549\nPYH to CEI: 17690\nPYH to BJI: 5456\nPYH to TUF: 8176\nPYH to SVR: 11244\nPYH to YQD: 6290\nPYH to MNS: 13596\nPYH to GRW: 7474\nSVR to JGN: 12496\nSVR to CEI: 13571\nSVR to BJI: 8833\nSVR to TUF: 5636\nSVR to YQD: 9451\nSVR to MNS: 13503\nSVR to GRW: 7938\nMNS to JGN: 10528\nMNS to CEI: 9720\nMNS to BJI: 14190\nMNS to TUF: 8457\nMNS to YQD: 14819\nMNS to GRW: 9064\nYQD to JGN: 12482\nYQD to CEI: 13623\nYQD to BJI: 1477\nYQD to TUF: 8115\nYQD to GRW: 6793\nTUF to JGN: 8937\nTUF to CEI: 10012\nTUF to BJI: 7497\nTUF to GRW: 2693\nJGN to CEI: 2495\nJGN to BJI: 12721\nJGN to GRW: 11244\nBJI to CEI: 13862\nBJI to GRW: 6175\nCEI to GRW: 12318\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59710,
"style": "rule"
}
|
{
"exact_answer": 59710,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PYH\", \"id\": 0}, {\"name\": \"SVR\", \"id\": 1}, {\"name\": \"MNS\", \"id\": 2}, {\"name\": \"YQD\", \"id\": 3}, {\"name\": \"TUF\", \"id\": 4}, {\"name\": \"JGN\", \"id\": 5}, {\"name\": \"BJI\", \"id\": 6}, {\"name\": \"CEI\", \"id\": 7}, {\"name\": \"GRW\", \"id\": 8}], \"links\": [{\"weight\": 16549, \"source\": 0, \"target\": 5}, {\"weight\": 17690, \"source\": 0, \"target\": 7}, {\"weight\": 5456, \"source\": 0, \"target\": 6}, {\"weight\": 8176, \"source\": 0, \"target\": 4}, {\"weight\": 11244, \"source\": 0, \"target\": 1}, {\"weight\": 6290, \"source\": 0, \"target\": 3}, {\"weight\": 13596, \"source\": 0, \"target\": 2}, {\"weight\": 7474, \"source\": 0, \"target\": 8}, {\"weight\": 12496, \"source\": 1, \"target\": 5}, {\"weight\": 13571, \"source\": 1, \"target\": 7}, {\"weight\": 8833, \"source\": 1, \"target\": 6}, {\"weight\": 5636, \"source\": 1, \"target\": 4}, {\"weight\": 9451, \"source\": 1, \"target\": 3}, {\"weight\": 13503, \"source\": 1, \"target\": 2}, {\"weight\": 7938, \"source\": 1, \"target\": 8}, {\"weight\": 10528, \"source\": 2, \"target\": 5}, {\"weight\": 9720, \"source\": 2, \"target\": 7}, {\"weight\": 14190, \"source\": 2, \"target\": 6}, {\"weight\": 8457, \"source\": 2, \"target\": 4}, {\"weight\": 14819, \"source\": 2, \"target\": 3}, {\"weight\": 9064, \"source\": 2, \"target\": 8}, {\"weight\": 12482, \"source\": 3, \"target\": 5}, {\"weight\": 13623, \"source\": 3, \"target\": 7}, {\"weight\": 1477, \"source\": 3, \"target\": 6}, {\"weight\": 8115, \"source\": 3, \"target\": 4}, {\"weight\": 6793, \"source\": 3, \"target\": 8}, {\"weight\": 8937, \"source\": 4, \"target\": 5}, {\"weight\": 10012, \"source\": 4, \"target\": 7}, {\"weight\": 7497, \"source\": 4, \"target\": 6}, {\"weight\": 2693, \"source\": 4, \"target\": 8}, {\"weight\": 2495, \"source\": 5, \"target\": 7}, {\"weight\": 12721, \"source\": 5, \"target\": 6}, {\"weight\": 11244, \"source\": 5, \"target\": 8}, {\"weight\": 13862, \"source\": 6, \"target\": 7}, {\"weight\": 6175, \"source\": 6, \"target\": 8}, {\"weight\": 12318, \"source\": 7, \"target\": 8}]}",
"id": 1111,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYH, SVR, MNS, YQD, TUF, JGN, BJI, CEI, GRW\n- Travel distances (in kilometers) between each pair of airports:\nPYH to JGN: 16549\nPYH to CEI: 17690\nPYH to BJI: 5456\nPYH to TUF: 8176\nPYH to SVR: 11244\nPYH to YQD: 6290\nPYH to MNS: 13596\nPYH to GRW: 7474\nSVR to JGN: 12496\nSVR to CEI: 13571\nSVR to BJI: 8833\nSVR to TUF: 5636\nSVR to YQD: 9451\nSVR to MNS: 13503\nSVR to GRW: 7938\nMNS to JGN: 10528\nMNS to CEI: 9720\nMNS to BJI: 14190\nMNS to TUF: 8457\nMNS to YQD: 14819\nMNS to GRW: 9064\nYQD to JGN: 12482\nYQD to CEI: 13623\nYQD to BJI: 1477\nYQD to TUF: 8115\nYQD to GRW: 6793\nTUF to JGN: 8937\nTUF to CEI: 10012\nTUF to BJI: 7497\nTUF to GRW: 2693\nJGN to CEI: 2495\nJGN to BJI: 12721\nJGN to GRW: 11244\nBJI to CEI: 13862\nBJI to GRW: 6175\nCEI to GRW: 12318\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELM, TAL, ARI, BSL, ZQN, SPS, JLN, ZLT, TLJ\n- Travel distances (in kilometers) between each pair of airports:\nELM to TLJ: 5793\nELM to BSL: 6672\nELM to TAL: 6042\nELM to JLN: 2644\nELM to SPS: 2299\nELM to ZQN: 15219\nELM to ARI: 7070\nELM to ZLT: 2187\nTAL to TLJ: 993\nTAL to BSL: 11050\nTAL to JLN: 5857\nTAL to SPS: 5512\nTAL to ZQN: 13207\nTAL to ARI: 12016\nTAL to ZLT: 7487\nARI to TLJ: 11954\nARI to BSL: 10959\nARI to JLN: 7213\nARI to SPS: 6868\nARI to ZQN: 12348\nARI to ZLT: 8537\nBSL to TLJ: 11083\nBSL to JLN: 8870\nBSL to SPS: 8525\nBSL to ZQN: 18557\nBSL to ZLT: 5147\nZQN to TLJ: 12958\nZQN to JLN: 14019\nZQN to SPS: 13674\nZQN to ZLT: 16782\nSPS to TLJ: 5448\nSPS to JLN: 707\nSPS to ZLT: 3909\nJLN to TLJ: 5793\nJLN to ZLT: 4254\nZLT to TLJ: 7238\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53455,
"style": "rule"
}
|
{
"exact_answer": 53455,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ELM\", \"id\": 0}, {\"name\": \"TAL\", \"id\": 1}, {\"name\": \"ARI\", \"id\": 2}, {\"name\": \"BSL\", \"id\": 3}, {\"name\": \"ZQN\", \"id\": 4}, {\"name\": \"SPS\", \"id\": 5}, {\"name\": \"JLN\", \"id\": 6}, {\"name\": \"ZLT\", \"id\": 7}, {\"name\": \"TLJ\", \"id\": 8}], \"links\": [{\"weight\": 5793, \"source\": 0, \"target\": 8}, {\"weight\": 6672, \"source\": 0, \"target\": 3}, {\"weight\": 6042, \"source\": 0, \"target\": 1}, {\"weight\": 2644, \"source\": 0, \"target\": 6}, {\"weight\": 2299, \"source\": 0, \"target\": 5}, {\"weight\": 15219, \"source\": 0, \"target\": 4}, {\"weight\": 7070, \"source\": 0, \"target\": 2}, {\"weight\": 2187, \"source\": 0, \"target\": 7}, {\"weight\": 993, \"source\": 1, \"target\": 8}, {\"weight\": 11050, \"source\": 1, \"target\": 3}, {\"weight\": 5857, \"source\": 1, \"target\": 6}, {\"weight\": 5512, \"source\": 1, \"target\": 5}, {\"weight\": 13207, \"source\": 1, \"target\": 4}, {\"weight\": 12016, \"source\": 1, \"target\": 2}, {\"weight\": 7487, \"source\": 1, \"target\": 7}, {\"weight\": 11954, \"source\": 2, \"target\": 8}, {\"weight\": 10959, \"source\": 2, \"target\": 3}, {\"weight\": 7213, \"source\": 2, \"target\": 6}, {\"weight\": 6868, \"source\": 2, \"target\": 5}, {\"weight\": 12348, \"source\": 2, \"target\": 4}, {\"weight\": 8537, \"source\": 2, \"target\": 7}, {\"weight\": 11083, \"source\": 3, \"target\": 8}, {\"weight\": 8870, \"source\": 3, \"target\": 6}, {\"weight\": 8525, \"source\": 3, \"target\": 5}, {\"weight\": 18557, \"source\": 3, \"target\": 4}, {\"weight\": 5147, \"source\": 3, \"target\": 7}, {\"weight\": 12958, \"source\": 4, \"target\": 8}, {\"weight\": 14019, \"source\": 4, \"target\": 6}, {\"weight\": 13674, \"source\": 4, \"target\": 5}, {\"weight\": 16782, \"source\": 4, \"target\": 7}, {\"weight\": 5448, \"source\": 5, \"target\": 8}, {\"weight\": 707, \"source\": 5, \"target\": 6}, {\"weight\": 3909, \"source\": 5, \"target\": 7}, {\"weight\": 5793, \"source\": 6, \"target\": 8}, {\"weight\": 4254, \"source\": 6, \"target\": 7}, {\"weight\": 7238, \"source\": 7, \"target\": 8}]}",
"id": 1112,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELM, TAL, ARI, BSL, ZQN, SPS, JLN, ZLT, TLJ\n- Travel distances (in kilometers) between each pair of airports:\nELM to TLJ: 5793\nELM to BSL: 6672\nELM to TAL: 6042\nELM to JLN: 2644\nELM to SPS: 2299\nELM to ZQN: 15219\nELM to ARI: 7070\nELM to ZLT: 2187\nTAL to TLJ: 993\nTAL to BSL: 11050\nTAL to JLN: 5857\nTAL to SPS: 5512\nTAL to ZQN: 13207\nTAL to ARI: 12016\nTAL to ZLT: 7487\nARI to TLJ: 11954\nARI to BSL: 10959\nARI to JLN: 7213\nARI to SPS: 6868\nARI to ZQN: 12348\nARI to ZLT: 8537\nBSL to TLJ: 11083\nBSL to JLN: 8870\nBSL to SPS: 8525\nBSL to ZQN: 18557\nBSL to ZLT: 5147\nZQN to TLJ: 12958\nZQN to JLN: 14019\nZQN to SPS: 13674\nZQN to ZLT: 16782\nSPS to TLJ: 5448\nSPS to JLN: 707\nSPS to ZLT: 3909\nJLN to TLJ: 5793\nJLN to ZLT: 4254\nZLT to TLJ: 7238\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWB, LNZ, VKG, SDN, KHV, INB, MIR, KMJ, DZA\n- Travel distances (in kilometers) between each pair of airports:\nTWB to LNZ: 15958\nTWB to DZA: 11254\nTWB to MIR: 16663\nTWB to KHV: 8766\nTWB to KMJ: 7989\nTWB to INB: 15274\nTWB to VKG: 7547\nTWB to SDN: 15961\nLNZ to DZA: 7650\nLNZ to MIR: 1661\nLNZ to KHV: 7975\nLNZ to KMJ: 9076\nLNZ to INB: 9571\nLNZ to VKG: 9537\nLNZ to SDN: 1809\nVKG to DZA: 8331\nVKG to MIR: 10215\nVKG to KHV: 5154\nVKG to KMJ: 3789\nVKG to INB: 16777\nVKG to SDN: 9793\nSDN to DZA: 9089\nSDN to MIR: 2994\nSDN to KHV: 7772\nSDN to KMJ: 8771\nSDN to INB: 8879\nKHV to DZA: 12089\nKHV to MIR: 9210\nKHV to KMJ: 2071\nKHV to INB: 13826\nINB to DZA: 16316\nINB to MIR: 9853\nINB to KMJ: 13275\nMIR to DZA: 7268\nMIR to KMJ: 10316\nKMJ to DZA: 11500\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57848,
"style": "rule"
}
|
{
"exact_answer": 57848,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TWB\", \"id\": 0}, {\"name\": \"LNZ\", \"id\": 1}, {\"name\": \"VKG\", \"id\": 2}, {\"name\": \"SDN\", \"id\": 3}, {\"name\": \"KHV\", \"id\": 4}, {\"name\": \"INB\", \"id\": 5}, {\"name\": \"MIR\", \"id\": 6}, {\"name\": \"KMJ\", \"id\": 7}, {\"name\": \"DZA\", \"id\": 8}], \"links\": [{\"weight\": 15958, \"source\": 0, \"target\": 1}, {\"weight\": 11254, \"source\": 0, \"target\": 8}, {\"weight\": 16663, \"source\": 0, \"target\": 6}, {\"weight\": 8766, \"source\": 0, \"target\": 4}, {\"weight\": 7989, \"source\": 0, \"target\": 7}, {\"weight\": 15274, \"source\": 0, \"target\": 5}, {\"weight\": 7547, \"source\": 0, \"target\": 2}, {\"weight\": 15961, \"source\": 0, \"target\": 3}, {\"weight\": 7650, \"source\": 1, \"target\": 8}, {\"weight\": 1661, \"source\": 1, \"target\": 6}, {\"weight\": 7975, \"source\": 1, \"target\": 4}, {\"weight\": 9076, \"source\": 1, \"target\": 7}, {\"weight\": 9571, \"source\": 1, \"target\": 5}, {\"weight\": 9537, \"source\": 1, \"target\": 2}, {\"weight\": 1809, \"source\": 1, \"target\": 3}, {\"weight\": 8331, \"source\": 2, \"target\": 8}, {\"weight\": 10215, \"source\": 2, \"target\": 6}, {\"weight\": 5154, \"source\": 2, \"target\": 4}, {\"weight\": 3789, \"source\": 2, \"target\": 7}, {\"weight\": 16777, \"source\": 2, \"target\": 5}, {\"weight\": 9793, \"source\": 2, \"target\": 3}, {\"weight\": 9089, \"source\": 3, \"target\": 8}, {\"weight\": 2994, \"source\": 3, \"target\": 6}, {\"weight\": 7772, \"source\": 3, \"target\": 4}, {\"weight\": 8771, \"source\": 3, \"target\": 7}, {\"weight\": 8879, \"source\": 3, \"target\": 5}, {\"weight\": 12089, \"source\": 4, \"target\": 8}, {\"weight\": 9210, \"source\": 4, \"target\": 6}, {\"weight\": 2071, \"source\": 4, \"target\": 7}, {\"weight\": 13826, \"source\": 4, \"target\": 5}, {\"weight\": 16316, \"source\": 5, \"target\": 8}, {\"weight\": 9853, \"source\": 5, \"target\": 6}, {\"weight\": 13275, \"source\": 5, \"target\": 7}, {\"weight\": 7268, \"source\": 6, \"target\": 8}, {\"weight\": 10316, \"source\": 6, \"target\": 7}, {\"weight\": 11500, \"source\": 7, \"target\": 8}]}",
"id": 1113,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWB, LNZ, VKG, SDN, KHV, INB, MIR, KMJ, DZA\n- Travel distances (in kilometers) between each pair of airports:\nTWB to LNZ: 15958\nTWB to DZA: 11254\nTWB to MIR: 16663\nTWB to KHV: 8766\nTWB to KMJ: 7989\nTWB to INB: 15274\nTWB to VKG: 7547\nTWB to SDN: 15961\nLNZ to DZA: 7650\nLNZ to MIR: 1661\nLNZ to KHV: 7975\nLNZ to KMJ: 9076\nLNZ to INB: 9571\nLNZ to VKG: 9537\nLNZ to SDN: 1809\nVKG to DZA: 8331\nVKG to MIR: 10215\nVKG to KHV: 5154\nVKG to KMJ: 3789\nVKG to INB: 16777\nVKG to SDN: 9793\nSDN to DZA: 9089\nSDN to MIR: 2994\nSDN to KHV: 7772\nSDN to KMJ: 8771\nSDN to INB: 8879\nKHV to DZA: 12089\nKHV to MIR: 9210\nKHV to KMJ: 2071\nKHV to INB: 13826\nINB to DZA: 16316\nINB to MIR: 9853\nINB to KMJ: 13275\nMIR to DZA: 7268\nMIR to KMJ: 10316\nKMJ to DZA: 11500\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYY, FJR, CZS, HEK, MAZ, PSS, VRC, MSS, FRW\n- Travel distances (in kilometers) between each pair of airports:\nYYY to VRC: 14627\nYYY to MSS: 1441\nYYY to MAZ: 3741\nYYY to PSS: 10766\nYYY to HEK: 13087\nYYY to FRW: 14320\nYYY to CZS: 8111\nYYY to FJR: 11002\nFJR to VRC: 7597\nFJR to MSS: 11523\nFJR to MAZ: 12649\nFJR to PSS: 15014\nFJR to HEK: 7652\nFJR to FRW: 7140\nFJR to CZS: 15450\nCZS to VRC: 21055\nCZS to MSS: 7638\nCZS to MAZ: 4751\nCZS to PSS: 5569\nCZS to HEK: 19399\nCZS to FRW: 11517\nHEK to VRC: 4383\nHEK to MSS: 12974\nHEK to MAZ: 15196\nHEK to PSS: 20726\nHEK to FRW: 13771\nMAZ to VRC: 16755\nMAZ to MSS: 3203\nMAZ to PSS: 7406\nMAZ to FRW: 13335\nPSS to VRC: 19939\nPSS to MSS: 10280\nPSS to FRW: 10521\nVRC to MSS: 14558\nVRC to FRW: 11919\nMSS to FRW: 13857\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57692,
"style": "rule"
}
|
{
"exact_answer": 57692,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YYY\", \"id\": 0}, {\"name\": \"FJR\", \"id\": 1}, {\"name\": \"CZS\", \"id\": 2}, {\"name\": \"HEK\", \"id\": 3}, {\"name\": \"MAZ\", \"id\": 4}, {\"name\": \"PSS\", \"id\": 5}, {\"name\": \"VRC\", \"id\": 6}, {\"name\": \"MSS\", \"id\": 7}, {\"name\": \"FRW\", \"id\": 8}], \"links\": [{\"weight\": 14627, \"source\": 0, \"target\": 6}, {\"weight\": 1441, \"source\": 0, \"target\": 7}, {\"weight\": 3741, \"source\": 0, \"target\": 4}, {\"weight\": 10766, \"source\": 0, \"target\": 5}, {\"weight\": 13087, \"source\": 0, \"target\": 3}, {\"weight\": 14320, \"source\": 0, \"target\": 8}, {\"weight\": 8111, \"source\": 0, \"target\": 2}, {\"weight\": 11002, \"source\": 0, \"target\": 1}, {\"weight\": 7597, \"source\": 1, \"target\": 6}, {\"weight\": 11523, \"source\": 1, \"target\": 7}, {\"weight\": 12649, \"source\": 1, \"target\": 4}, {\"weight\": 15014, \"source\": 1, \"target\": 5}, {\"weight\": 7652, \"source\": 1, \"target\": 3}, {\"weight\": 7140, \"source\": 1, \"target\": 8}, {\"weight\": 15450, \"source\": 1, \"target\": 2}, {\"weight\": 21055, \"source\": 2, \"target\": 6}, {\"weight\": 7638, \"source\": 2, \"target\": 7}, {\"weight\": 4751, \"source\": 2, \"target\": 4}, {\"weight\": 5569, \"source\": 2, \"target\": 5}, {\"weight\": 19399, \"source\": 2, \"target\": 3}, {\"weight\": 11517, \"source\": 2, \"target\": 8}, {\"weight\": 4383, \"source\": 3, \"target\": 6}, {\"weight\": 12974, \"source\": 3, \"target\": 7}, {\"weight\": 15196, \"source\": 3, \"target\": 4}, {\"weight\": 20726, \"source\": 3, \"target\": 5}, {\"weight\": 13771, \"source\": 3, \"target\": 8}, {\"weight\": 16755, \"source\": 4, \"target\": 6}, {\"weight\": 3203, \"source\": 4, \"target\": 7}, {\"weight\": 7406, \"source\": 4, \"target\": 5}, {\"weight\": 13335, \"source\": 4, \"target\": 8}, {\"weight\": 19939, \"source\": 5, \"target\": 6}, {\"weight\": 10280, \"source\": 5, \"target\": 7}, {\"weight\": 10521, \"source\": 5, \"target\": 8}, {\"weight\": 14558, \"source\": 6, \"target\": 7}, {\"weight\": 11919, \"source\": 6, \"target\": 8}, {\"weight\": 13857, \"source\": 7, \"target\": 8}]}",
"id": 1114,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YYY, FJR, CZS, HEK, MAZ, PSS, VRC, MSS, FRW\n- Travel distances (in kilometers) between each pair of airports:\nYYY to VRC: 14627\nYYY to MSS: 1441\nYYY to MAZ: 3741\nYYY to PSS: 10766\nYYY to HEK: 13087\nYYY to FRW: 14320\nYYY to CZS: 8111\nYYY to FJR: 11002\nFJR to VRC: 7597\nFJR to MSS: 11523\nFJR to MAZ: 12649\nFJR to PSS: 15014\nFJR to HEK: 7652\nFJR to FRW: 7140\nFJR to CZS: 15450\nCZS to VRC: 21055\nCZS to MSS: 7638\nCZS to MAZ: 4751\nCZS to PSS: 5569\nCZS to HEK: 19399\nCZS to FRW: 11517\nHEK to VRC: 4383\nHEK to MSS: 12974\nHEK to MAZ: 15196\nHEK to PSS: 20726\nHEK to FRW: 13771\nMAZ to VRC: 16755\nMAZ to MSS: 3203\nMAZ to PSS: 7406\nMAZ to FRW: 13335\nPSS to VRC: 19939\nPSS to MSS: 10280\nPSS to FRW: 10521\nVRC to MSS: 14558\nVRC to FRW: 11919\nMSS to FRW: 13857\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IBE, HON, SCU, LAI, HYN, PIK, NQN, MCG, RLG\n- Travel distances (in kilometers) between each pair of airports:\nIBE to MCG: 9294\nIBE to RLG: 9671\nIBE to NQN: 5242\nIBE to LAI: 9178\nIBE to SCU: 2384\nIBE to HYN: 16392\nIBE to HON: 5687\nIBE to PIK: 9081\nHON to MCG: 4997\nHON to RLG: 8125\nHON to NQN: 10558\nHON to LAI: 7964\nHON to SCU: 4663\nHON to HYN: 12417\nHON to PIK: 7330\nSCU to MCG: 8171\nSCU to RLG: 8702\nSCU to NQN: 7398\nSCU to LAI: 7930\nSCU to HYN: 14987\nSCU to PIK: 8110\nLAI to MCG: 11174\nLAI to RLG: 1799\nLAI to NQN: 12475\nLAI to HYN: 10014\nLAI to PIK: 1482\nHYN to MCG: 12710\nHYN to RLG: 9660\nHYN to NQN: 20739\nHYN to PIK: 9657\nPIK to MCG: 10387\nPIK to RLG: 1698\nPIK to NQN: 12489\nNQN to MCG: 13943\nNQN to RLG: 12944\nMCG to RLG: 11232\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55311,
"style": "rule"
}
|
{
"exact_answer": 55311,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IBE\", \"id\": 0}, {\"name\": \"HON\", \"id\": 1}, {\"name\": \"SCU\", \"id\": 2}, {\"name\": \"LAI\", \"id\": 3}, {\"name\": \"HYN\", \"id\": 4}, {\"name\": \"PIK\", \"id\": 5}, {\"name\": \"NQN\", \"id\": 6}, {\"name\": \"MCG\", \"id\": 7}, {\"name\": \"RLG\", \"id\": 8}], \"links\": [{\"weight\": 9294, \"source\": 0, \"target\": 7}, {\"weight\": 9671, \"source\": 0, \"target\": 8}, {\"weight\": 5242, \"source\": 0, \"target\": 6}, {\"weight\": 9178, \"source\": 0, \"target\": 3}, {\"weight\": 2384, \"source\": 0, \"target\": 2}, {\"weight\": 16392, \"source\": 0, \"target\": 4}, {\"weight\": 5687, \"source\": 0, \"target\": 1}, {\"weight\": 9081, \"source\": 0, \"target\": 5}, {\"weight\": 4997, \"source\": 1, \"target\": 7}, {\"weight\": 8125, \"source\": 1, \"target\": 8}, {\"weight\": 10558, \"source\": 1, \"target\": 6}, {\"weight\": 7964, \"source\": 1, \"target\": 3}, {\"weight\": 4663, \"source\": 1, \"target\": 2}, {\"weight\": 12417, \"source\": 1, \"target\": 4}, {\"weight\": 7330, \"source\": 1, \"target\": 5}, {\"weight\": 8171, \"source\": 2, \"target\": 7}, {\"weight\": 8702, \"source\": 2, \"target\": 8}, {\"weight\": 7398, \"source\": 2, \"target\": 6}, {\"weight\": 7930, \"source\": 2, \"target\": 3}, {\"weight\": 14987, \"source\": 2, \"target\": 4}, {\"weight\": 8110, \"source\": 2, \"target\": 5}, {\"weight\": 11174, \"source\": 3, \"target\": 7}, {\"weight\": 1799, \"source\": 3, \"target\": 8}, {\"weight\": 12475, \"source\": 3, \"target\": 6}, {\"weight\": 10014, \"source\": 3, \"target\": 4}, {\"weight\": 1482, \"source\": 3, \"target\": 5}, {\"weight\": 12710, \"source\": 4, \"target\": 7}, {\"weight\": 9660, \"source\": 4, \"target\": 8}, {\"weight\": 20739, \"source\": 4, \"target\": 6}, {\"weight\": 9657, \"source\": 4, \"target\": 5}, {\"weight\": 10387, \"source\": 5, \"target\": 7}, {\"weight\": 1698, \"source\": 5, \"target\": 8}, {\"weight\": 12489, \"source\": 5, \"target\": 6}, {\"weight\": 13943, \"source\": 6, \"target\": 7}, {\"weight\": 12944, \"source\": 6, \"target\": 8}, {\"weight\": 11232, \"source\": 7, \"target\": 8}]}",
"id": 1115,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IBE, HON, SCU, LAI, HYN, PIK, NQN, MCG, RLG\n- Travel distances (in kilometers) between each pair of airports:\nIBE to MCG: 9294\nIBE to RLG: 9671\nIBE to NQN: 5242\nIBE to LAI: 9178\nIBE to SCU: 2384\nIBE to HYN: 16392\nIBE to HON: 5687\nIBE to PIK: 9081\nHON to MCG: 4997\nHON to RLG: 8125\nHON to NQN: 10558\nHON to LAI: 7964\nHON to SCU: 4663\nHON to HYN: 12417\nHON to PIK: 7330\nSCU to MCG: 8171\nSCU to RLG: 8702\nSCU to NQN: 7398\nSCU to LAI: 7930\nSCU to HYN: 14987\nSCU to PIK: 8110\nLAI to MCG: 11174\nLAI to RLG: 1799\nLAI to NQN: 12475\nLAI to HYN: 10014\nLAI to PIK: 1482\nHYN to MCG: 12710\nHYN to RLG: 9660\nHYN to NQN: 20739\nHYN to PIK: 9657\nPIK to MCG: 10387\nPIK to RLG: 1698\nPIK to NQN: 12489\nNQN to MCG: 13943\nNQN to RLG: 12944\nMCG to RLG: 11232\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, ZDY, HSN, JHS, HUI, NVK, DFW, YUT, ARN\n- Travel distances (in kilometers) between each pair of airports:\nPZU to ARN: 4761\nPZU to DFW: 12479\nPZU to YUT: 12064\nPZU to HSN: 8563\nPZU to JHS: 8082\nPZU to ZDY: 2314\nPZU to HUI: 8035\nPZU to NVK: 5954\nZDY to ARN: 5128\nZDY to DFW: 13262\nZDY to YUT: 13045\nZDY to HSN: 6935\nZDY to JHS: 8721\nZDY to HUI: 6430\nZDY to NVK: 6317\nHSN to ARN: 7935\nHSN to DFW: 11954\nHSN to YUT: 12623\nHSN to JHS: 11703\nHSN to HUI: 2614\nHSN to NVK: 9103\nJHS to ARN: 3863\nJHS to DFW: 7819\nJHS to YUT: 9092\nJHS to HUI: 12339\nJHS to NVK: 3986\nHUI to ARN: 8520\nHUI to DFW: 14215\nHUI to YUT: 14857\nHUI to NVK: 9634\nNVK to ARN: 1194\nNVK to DFW: 8363\nNVK to YUT: 9323\nDFW to ARN: 8145\nDFW to YUT: 3972\nYUT to ARN: 8668\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45713,
"style": "rule"
}
|
{
"exact_answer": 45713,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PZU\", \"id\": 0}, {\"name\": \"ZDY\", \"id\": 1}, {\"name\": \"HSN\", \"id\": 2}, {\"name\": \"JHS\", \"id\": 3}, {\"name\": \"HUI\", \"id\": 4}, {\"name\": \"NVK\", \"id\": 5}, {\"name\": \"DFW\", \"id\": 6}, {\"name\": \"YUT\", \"id\": 7}, {\"name\": \"ARN\", \"id\": 8}], \"links\": [{\"weight\": 4761, \"source\": 0, \"target\": 8}, {\"weight\": 12479, \"source\": 0, \"target\": 6}, {\"weight\": 12064, \"source\": 0, \"target\": 7}, {\"weight\": 8563, \"source\": 0, \"target\": 2}, {\"weight\": 8082, \"source\": 0, \"target\": 3}, {\"weight\": 2314, \"source\": 0, \"target\": 1}, {\"weight\": 8035, \"source\": 0, \"target\": 4}, {\"weight\": 5954, \"source\": 0, \"target\": 5}, {\"weight\": 5128, \"source\": 1, \"target\": 8}, {\"weight\": 13262, \"source\": 1, \"target\": 6}, {\"weight\": 13045, \"source\": 1, \"target\": 7}, {\"weight\": 6935, \"source\": 1, \"target\": 2}, {\"weight\": 8721, \"source\": 1, \"target\": 3}, {\"weight\": 6430, \"source\": 1, \"target\": 4}, {\"weight\": 6317, \"source\": 1, \"target\": 5}, {\"weight\": 7935, \"source\": 2, \"target\": 8}, {\"weight\": 11954, \"source\": 2, \"target\": 6}, {\"weight\": 12623, \"source\": 2, \"target\": 7}, {\"weight\": 11703, \"source\": 2, \"target\": 3}, {\"weight\": 2614, \"source\": 2, \"target\": 4}, {\"weight\": 9103, \"source\": 2, \"target\": 5}, {\"weight\": 3863, \"source\": 3, \"target\": 8}, {\"weight\": 7819, \"source\": 3, \"target\": 6}, {\"weight\": 9092, \"source\": 3, \"target\": 7}, {\"weight\": 12339, \"source\": 3, \"target\": 4}, {\"weight\": 3986, \"source\": 3, \"target\": 5}, {\"weight\": 8520, \"source\": 4, \"target\": 8}, {\"weight\": 14215, \"source\": 4, \"target\": 6}, {\"weight\": 14857, \"source\": 4, \"target\": 7}, {\"weight\": 9634, \"source\": 4, \"target\": 5}, {\"weight\": 1194, \"source\": 5, \"target\": 8}, {\"weight\": 8363, \"source\": 5, \"target\": 6}, {\"weight\": 9323, \"source\": 5, \"target\": 7}, {\"weight\": 8145, \"source\": 6, \"target\": 8}, {\"weight\": 3972, \"source\": 6, \"target\": 7}, {\"weight\": 8668, \"source\": 7, \"target\": 8}]}",
"id": 1116,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PZU, ZDY, HSN, JHS, HUI, NVK, DFW, YUT, ARN\n- Travel distances (in kilometers) between each pair of airports:\nPZU to ARN: 4761\nPZU to DFW: 12479\nPZU to YUT: 12064\nPZU to HSN: 8563\nPZU to JHS: 8082\nPZU to ZDY: 2314\nPZU to HUI: 8035\nPZU to NVK: 5954\nZDY to ARN: 5128\nZDY to DFW: 13262\nZDY to YUT: 13045\nZDY to HSN: 6935\nZDY to JHS: 8721\nZDY to HUI: 6430\nZDY to NVK: 6317\nHSN to ARN: 7935\nHSN to DFW: 11954\nHSN to YUT: 12623\nHSN to JHS: 11703\nHSN to HUI: 2614\nHSN to NVK: 9103\nJHS to ARN: 3863\nJHS to DFW: 7819\nJHS to YUT: 9092\nJHS to HUI: 12339\nJHS to NVK: 3986\nHUI to ARN: 8520\nHUI to DFW: 14215\nHUI to YUT: 14857\nHUI to NVK: 9634\nNVK to ARN: 1194\nNVK to DFW: 8363\nNVK to YUT: 9323\nDFW to ARN: 8145\nDFW to YUT: 3972\nYUT to ARN: 8668\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TPQ, MYU, TSA, SMA, RHD, NOP, CLD, DEN, HOU\n- Travel distances (in kilometers) between each pair of airports:\nTPQ to TSA: 13016\nTPQ to MYU: 7641\nTPQ to DEN: 2973\nTPQ to HOU: 2072\nTPQ to RHD: 9054\nTPQ to SMA: 8244\nTPQ to NOP: 12573\nTPQ to CLD: 3277\nMYU to TSA: 13016\nMYU to DEN: 4747\nMYU to HOU: 6168\nMYU to RHD: 15366\nMYU to SMA: 10623\nMYU to NOP: 13687\nMYU to CLD: 4792\nTSA to DEN: 11443\nTSA to HOU: 12864\nTSA to RHD: 20970\nTSA to SMA: 12424\nTSA to NOP: 9016\nTSA to CLD: 11046\nSMA to DEN: 6719\nSMA to HOU: 6527\nSMA to RHD: 10972\nSMA to NOP: 5165\nSMA to CLD: 8240\nRHD to DEN: 10619\nRHD to HOU: 9695\nRHD to NOP: 13784\nRHD to CLD: 11028\nNOP to DEN: 10393\nNOP to HOU: 10811\nNOP to CLD: 11697\nCLD to DEN: 1523\nCLD to HOU: 2369\nDEN to HOU: 1421\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57031,
"style": "rule"
}
|
{
"exact_answer": 57031,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TPQ\", \"id\": 0}, {\"name\": \"MYU\", \"id\": 1}, {\"name\": \"TSA\", \"id\": 2}, {\"name\": \"SMA\", \"id\": 3}, {\"name\": \"RHD\", \"id\": 4}, {\"name\": \"NOP\", \"id\": 5}, {\"name\": \"CLD\", \"id\": 6}, {\"name\": \"DEN\", \"id\": 7}, {\"name\": \"HOU\", \"id\": 8}], \"links\": [{\"weight\": 13016, \"source\": 0, \"target\": 2}, {\"weight\": 7641, \"source\": 0, \"target\": 1}, {\"weight\": 2973, \"source\": 0, \"target\": 7}, {\"weight\": 2072, \"source\": 0, \"target\": 8}, {\"weight\": 9054, \"source\": 0, \"target\": 4}, {\"weight\": 8244, \"source\": 0, \"target\": 3}, {\"weight\": 12573, \"source\": 0, \"target\": 5}, {\"weight\": 3277, \"source\": 0, \"target\": 6}, {\"weight\": 13016, \"source\": 1, \"target\": 2}, {\"weight\": 4747, \"source\": 1, \"target\": 7}, {\"weight\": 6168, \"source\": 1, \"target\": 8}, {\"weight\": 15366, \"source\": 1, \"target\": 4}, {\"weight\": 10623, \"source\": 1, \"target\": 3}, {\"weight\": 13687, \"source\": 1, \"target\": 5}, {\"weight\": 4792, \"source\": 1, \"target\": 6}, {\"weight\": 11443, \"source\": 2, \"target\": 7}, {\"weight\": 12864, \"source\": 2, \"target\": 8}, {\"weight\": 20970, \"source\": 2, \"target\": 4}, {\"weight\": 12424, \"source\": 2, \"target\": 3}, {\"weight\": 9016, \"source\": 2, \"target\": 5}, {\"weight\": 11046, \"source\": 2, \"target\": 6}, {\"weight\": 6719, \"source\": 3, \"target\": 7}, {\"weight\": 6527, \"source\": 3, \"target\": 8}, {\"weight\": 10972, \"source\": 3, \"target\": 4}, {\"weight\": 5165, \"source\": 3, \"target\": 5}, {\"weight\": 8240, \"source\": 3, \"target\": 6}, {\"weight\": 10619, \"source\": 4, \"target\": 7}, {\"weight\": 9695, \"source\": 4, \"target\": 8}, {\"weight\": 13784, \"source\": 4, \"target\": 5}, {\"weight\": 11028, \"source\": 4, \"target\": 6}, {\"weight\": 10393, \"source\": 5, \"target\": 7}, {\"weight\": 10811, \"source\": 5, \"target\": 8}, {\"weight\": 11697, \"source\": 5, \"target\": 6}, {\"weight\": 1523, \"source\": 6, \"target\": 7}, {\"weight\": 2369, \"source\": 6, \"target\": 8}, {\"weight\": 1421, \"source\": 7, \"target\": 8}]}",
"id": 1117,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TPQ, MYU, TSA, SMA, RHD, NOP, CLD, DEN, HOU\n- Travel distances (in kilometers) between each pair of airports:\nTPQ to TSA: 13016\nTPQ to MYU: 7641\nTPQ to DEN: 2973\nTPQ to HOU: 2072\nTPQ to RHD: 9054\nTPQ to SMA: 8244\nTPQ to NOP: 12573\nTPQ to CLD: 3277\nMYU to TSA: 13016\nMYU to DEN: 4747\nMYU to HOU: 6168\nMYU to RHD: 15366\nMYU to SMA: 10623\nMYU to NOP: 13687\nMYU to CLD: 4792\nTSA to DEN: 11443\nTSA to HOU: 12864\nTSA to RHD: 20970\nTSA to SMA: 12424\nTSA to NOP: 9016\nTSA to CLD: 11046\nSMA to DEN: 6719\nSMA to HOU: 6527\nSMA to RHD: 10972\nSMA to NOP: 5165\nSMA to CLD: 8240\nRHD to DEN: 10619\nRHD to HOU: 9695\nRHD to NOP: 13784\nRHD to CLD: 11028\nNOP to DEN: 10393\nNOP to HOU: 10811\nNOP to CLD: 11697\nCLD to DEN: 1523\nCLD to HOU: 2369\nDEN to HOU: 1421\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LET, KTB, SOF, RJA, NLT, KTM, ACE, YZT, LZC\n- Travel distances (in kilometers) between each pair of airports:\nLET to KTB: 8846\nLET to KTM: 17112\nLET to YZT: 8186\nLET to RJA: 17631\nLET to SOF: 11369\nLET to ACE: 8007\nLET to LZC: 4619\nLET to NLT: 16063\nKTB to KTM: 13028\nKTB to YZT: 1700\nKTB to RJA: 14974\nKTB to SOF: 10702\nKTB to ACE: 10710\nKTB to LZC: 5319\nKTB to NLT: 12599\nSOF to KTM: 5780\nSOF to YZT: 9781\nSOF to RJA: 6280\nSOF to ACE: 3731\nSOF to LZC: 11309\nSOF to NLT: 5526\nRJA to KTM: 2191\nRJA to YZT: 13973\nRJA to ACE: 9978\nRJA to LZC: 16707\nRJA to NLT: 4305\nNLT to KTM: 3518\nNLT to YZT: 11598\nNLT to ACE: 9048\nNLT to LZC: 15142\nKTM to YZT: 12027\nKTM to ACE: 9478\nKTM to LZC: 15920\nACE to YZT: 9935\nACE to LZC: 9611\nYZT to LZC: 4652\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46963,
"style": "rule"
}
|
{
"exact_answer": 46963,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LET\", \"id\": 0}, {\"name\": \"KTB\", \"id\": 1}, {\"name\": \"SOF\", \"id\": 2}, {\"name\": \"RJA\", \"id\": 3}, {\"name\": \"NLT\", \"id\": 4}, {\"name\": \"KTM\", \"id\": 5}, {\"name\": \"ACE\", \"id\": 6}, {\"name\": \"YZT\", \"id\": 7}, {\"name\": \"LZC\", \"id\": 8}], \"links\": [{\"weight\": 8846, \"source\": 0, \"target\": 1}, {\"weight\": 17112, \"source\": 0, \"target\": 5}, {\"weight\": 8186, \"source\": 0, \"target\": 7}, {\"weight\": 17631, \"source\": 0, \"target\": 3}, {\"weight\": 11369, \"source\": 0, \"target\": 2}, {\"weight\": 8007, \"source\": 0, \"target\": 6}, {\"weight\": 4619, \"source\": 0, \"target\": 8}, {\"weight\": 16063, \"source\": 0, \"target\": 4}, {\"weight\": 13028, \"source\": 1, \"target\": 5}, {\"weight\": 1700, \"source\": 1, \"target\": 7}, {\"weight\": 14974, \"source\": 1, \"target\": 3}, {\"weight\": 10702, \"source\": 1, \"target\": 2}, {\"weight\": 10710, \"source\": 1, \"target\": 6}, {\"weight\": 5319, \"source\": 1, \"target\": 8}, {\"weight\": 12599, \"source\": 1, \"target\": 4}, {\"weight\": 5780, \"source\": 2, \"target\": 5}, {\"weight\": 9781, \"source\": 2, \"target\": 7}, {\"weight\": 6280, \"source\": 2, \"target\": 3}, {\"weight\": 3731, \"source\": 2, \"target\": 6}, {\"weight\": 11309, \"source\": 2, \"target\": 8}, {\"weight\": 5526, \"source\": 2, \"target\": 4}, {\"weight\": 2191, \"source\": 3, \"target\": 5}, {\"weight\": 13973, \"source\": 3, \"target\": 7}, {\"weight\": 9978, \"source\": 3, \"target\": 6}, {\"weight\": 16707, \"source\": 3, \"target\": 8}, {\"weight\": 4305, \"source\": 3, \"target\": 4}, {\"weight\": 3518, \"source\": 4, \"target\": 5}, {\"weight\": 11598, \"source\": 4, \"target\": 7}, {\"weight\": 9048, \"source\": 4, \"target\": 6}, {\"weight\": 15142, \"source\": 4, \"target\": 8}, {\"weight\": 12027, \"source\": 5, \"target\": 7}, {\"weight\": 9478, \"source\": 5, \"target\": 6}, {\"weight\": 15920, \"source\": 5, \"target\": 8}, {\"weight\": 9935, \"source\": 6, \"target\": 7}, {\"weight\": 9611, \"source\": 6, \"target\": 8}, {\"weight\": 4652, \"source\": 7, \"target\": 8}]}",
"id": 1118,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LET, KTB, SOF, RJA, NLT, KTM, ACE, YZT, LZC\n- Travel distances (in kilometers) between each pair of airports:\nLET to KTB: 8846\nLET to KTM: 17112\nLET to YZT: 8186\nLET to RJA: 17631\nLET to SOF: 11369\nLET to ACE: 8007\nLET to LZC: 4619\nLET to NLT: 16063\nKTB to KTM: 13028\nKTB to YZT: 1700\nKTB to RJA: 14974\nKTB to SOF: 10702\nKTB to ACE: 10710\nKTB to LZC: 5319\nKTB to NLT: 12599\nSOF to KTM: 5780\nSOF to YZT: 9781\nSOF to RJA: 6280\nSOF to ACE: 3731\nSOF to LZC: 11309\nSOF to NLT: 5526\nRJA to KTM: 2191\nRJA to YZT: 13973\nRJA to ACE: 9978\nRJA to LZC: 16707\nRJA to NLT: 4305\nNLT to KTM: 3518\nNLT to YZT: 11598\nNLT to ACE: 9048\nNLT to LZC: 15142\nKTM to YZT: 12027\nKTM to ACE: 9478\nKTM to LZC: 15920\nACE to YZT: 9935\nACE to LZC: 9611\nYZT to LZC: 4652\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, OLL, BSA, IXZ, RCH, MYW, MVP, ZBF, LYC\n- Travel distances (in kilometers) between each pair of airports:\nAAX to LYC: 11350\nAAX to MVP: 5706\nAAX to IXZ: 16883\nAAX to ZBF: 9260\nAAX to RCH: 5898\nAAX to BSA: 11839\nAAX to OLL: 8096\nAAX to MYW: 10963\nOLL to LYC: 8330\nOLL to MVP: 12221\nOLL to IXZ: 9580\nOLL to ZBF: 11499\nOLL to RCH: 12413\nOLL to BSA: 4530\nOLL to MYW: 3559\nBSA to LYC: 6974\nBSA to MVP: 14867\nBSA to IXZ: 6198\nBSA to ZBF: 12080\nBSA to RCH: 15059\nBSA to MYW: 3074\nIXZ to LYC: 8611\nIXZ to MVP: 18267\nIXZ to ZBF: 14654\nIXZ to RCH: 18459\nIXZ to MYW: 8003\nRCH to LYC: 11176\nRCH to MVP: 1348\nRCH to ZBF: 5959\nRCH to MYW: 15280\nMYW to LYC: 8577\nMYW to MVP: 15088\nMYW to ZBF: 13346\nMVP to LYC: 10984\nMVP to ZBF: 5767\nZBF to LYC: 7445\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49996,
"style": "rule"
}
|
{
"exact_answer": 49996,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAX\", \"id\": 0}, {\"name\": \"OLL\", \"id\": 1}, {\"name\": \"BSA\", \"id\": 2}, {\"name\": \"IXZ\", \"id\": 3}, {\"name\": \"RCH\", \"id\": 4}, {\"name\": \"MYW\", \"id\": 5}, {\"name\": \"MVP\", \"id\": 6}, {\"name\": \"ZBF\", \"id\": 7}, {\"name\": \"LYC\", \"id\": 8}], \"links\": [{\"weight\": 11350, \"source\": 0, \"target\": 8}, {\"weight\": 5706, \"source\": 0, \"target\": 6}, {\"weight\": 16883, \"source\": 0, \"target\": 3}, {\"weight\": 9260, \"source\": 0, \"target\": 7}, {\"weight\": 5898, \"source\": 0, \"target\": 4}, {\"weight\": 11839, \"source\": 0, \"target\": 2}, {\"weight\": 8096, \"source\": 0, \"target\": 1}, {\"weight\": 10963, \"source\": 0, \"target\": 5}, {\"weight\": 8330, \"source\": 1, \"target\": 8}, {\"weight\": 12221, \"source\": 1, \"target\": 6}, {\"weight\": 9580, \"source\": 1, \"target\": 3}, {\"weight\": 11499, \"source\": 1, \"target\": 7}, {\"weight\": 12413, \"source\": 1, \"target\": 4}, {\"weight\": 4530, \"source\": 1, \"target\": 2}, {\"weight\": 3559, \"source\": 1, \"target\": 5}, {\"weight\": 6974, \"source\": 2, \"target\": 8}, {\"weight\": 14867, \"source\": 2, \"target\": 6}, {\"weight\": 6198, \"source\": 2, \"target\": 3}, {\"weight\": 12080, \"source\": 2, \"target\": 7}, {\"weight\": 15059, \"source\": 2, \"target\": 4}, {\"weight\": 3074, \"source\": 2, \"target\": 5}, {\"weight\": 8611, \"source\": 3, \"target\": 8}, {\"weight\": 18267, \"source\": 3, \"target\": 6}, {\"weight\": 14654, \"source\": 3, \"target\": 7}, {\"weight\": 18459, \"source\": 3, \"target\": 4}, {\"weight\": 8003, \"source\": 3, \"target\": 5}, {\"weight\": 11176, \"source\": 4, \"target\": 8}, {\"weight\": 1348, \"source\": 4, \"target\": 6}, {\"weight\": 5959, \"source\": 4, \"target\": 7}, {\"weight\": 15280, \"source\": 4, \"target\": 5}, {\"weight\": 8577, \"source\": 5, \"target\": 8}, {\"weight\": 15088, \"source\": 5, \"target\": 6}, {\"weight\": 13346, \"source\": 5, \"target\": 7}, {\"weight\": 10984, \"source\": 6, \"target\": 8}, {\"weight\": 5767, \"source\": 6, \"target\": 7}, {\"weight\": 7445, \"source\": 7, \"target\": 8}]}",
"id": 1119,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAX, OLL, BSA, IXZ, RCH, MYW, MVP, ZBF, LYC\n- Travel distances (in kilometers) between each pair of airports:\nAAX to LYC: 11350\nAAX to MVP: 5706\nAAX to IXZ: 16883\nAAX to ZBF: 9260\nAAX to RCH: 5898\nAAX to BSA: 11839\nAAX to OLL: 8096\nAAX to MYW: 10963\nOLL to LYC: 8330\nOLL to MVP: 12221\nOLL to IXZ: 9580\nOLL to ZBF: 11499\nOLL to RCH: 12413\nOLL to BSA: 4530\nOLL to MYW: 3559\nBSA to LYC: 6974\nBSA to MVP: 14867\nBSA to IXZ: 6198\nBSA to ZBF: 12080\nBSA to RCH: 15059\nBSA to MYW: 3074\nIXZ to LYC: 8611\nIXZ to MVP: 18267\nIXZ to ZBF: 14654\nIXZ to RCH: 18459\nIXZ to MYW: 8003\nRCH to LYC: 11176\nRCH to MVP: 1348\nRCH to ZBF: 5959\nRCH to MYW: 15280\nMYW to LYC: 8577\nMYW to MVP: 15088\nMYW to ZBF: 13346\nMVP to LYC: 10984\nMVP to ZBF: 5767\nZBF to LYC: 7445\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HIN, QFN, IXL, LRT, NUE, SPR, DUJ, TOE, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nHIN to NUE: 8954\nHIN to SPR: 13625\nHIN to IXL: 5650\nHIN to LRT: 9897\nHIN to AOQ: 12391\nHIN to QFN: 12009\nHIN to TOE: 10268\nHIN to DUJ: 11721\nQFN to NUE: 4611\nQFN to SPR: 9174\nQFN to IXL: 9819\nQFN to LRT: 4738\nQFN to AOQ: 1572\nQFN to TOE: 6005\nQFN to DUJ: 6761\nIXL to NUE: 6128\nIXL to SPR: 14925\nIXL to LRT: 7192\nIXL to AOQ: 10160\nIXL to TOE: 6751\nIXL to DUJ: 12512\nLRT to NUE: 1307\nLRT to SPR: 9162\nLRT to AOQ: 5120\nLRT to TOE: 2138\nLRT to DUJ: 7033\nNUE to SPR: 9240\nNUE to AOQ: 4846\nNUE to TOE: 1797\nNUE to DUJ: 7086\nSPR to AOQ: 9556\nSPR to TOE: 10034\nSPR to DUJ: 3026\nDUJ to AOQ: 7143\nDUJ to TOE: 8209\nTOE to AOQ: 6387\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45609,
"style": "rule"
}
|
{
"exact_answer": 45609,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HIN\", \"id\": 0}, {\"name\": \"QFN\", \"id\": 1}, {\"name\": \"IXL\", \"id\": 2}, {\"name\": \"LRT\", \"id\": 3}, {\"name\": \"NUE\", \"id\": 4}, {\"name\": \"SPR\", \"id\": 5}, {\"name\": \"DUJ\", \"id\": 6}, {\"name\": \"TOE\", \"id\": 7}, {\"name\": \"AOQ\", \"id\": 8}], \"links\": [{\"weight\": 8954, \"source\": 0, \"target\": 4}, {\"weight\": 13625, \"source\": 0, \"target\": 5}, {\"weight\": 5650, \"source\": 0, \"target\": 2}, {\"weight\": 9897, \"source\": 0, \"target\": 3}, {\"weight\": 12391, \"source\": 0, \"target\": 8}, {\"weight\": 12009, \"source\": 0, \"target\": 1}, {\"weight\": 10268, \"source\": 0, \"target\": 7}, {\"weight\": 11721, \"source\": 0, \"target\": 6}, {\"weight\": 4611, \"source\": 1, \"target\": 4}, {\"weight\": 9174, \"source\": 1, \"target\": 5}, {\"weight\": 9819, \"source\": 1, \"target\": 2}, {\"weight\": 4738, \"source\": 1, \"target\": 3}, {\"weight\": 1572, \"source\": 1, \"target\": 8}, {\"weight\": 6005, \"source\": 1, \"target\": 7}, {\"weight\": 6761, \"source\": 1, \"target\": 6}, {\"weight\": 6128, \"source\": 2, \"target\": 4}, {\"weight\": 14925, \"source\": 2, \"target\": 5}, {\"weight\": 7192, \"source\": 2, \"target\": 3}, {\"weight\": 10160, \"source\": 2, \"target\": 8}, {\"weight\": 6751, \"source\": 2, \"target\": 7}, {\"weight\": 12512, \"source\": 2, \"target\": 6}, {\"weight\": 1307, \"source\": 3, \"target\": 4}, {\"weight\": 9162, \"source\": 3, \"target\": 5}, {\"weight\": 5120, \"source\": 3, \"target\": 8}, {\"weight\": 2138, \"source\": 3, \"target\": 7}, {\"weight\": 7033, \"source\": 3, \"target\": 6}, {\"weight\": 9240, \"source\": 4, \"target\": 5}, {\"weight\": 4846, \"source\": 4, \"target\": 8}, {\"weight\": 1797, \"source\": 4, \"target\": 7}, {\"weight\": 7086, \"source\": 4, \"target\": 6}, {\"weight\": 9556, \"source\": 5, \"target\": 8}, {\"weight\": 10034, \"source\": 5, \"target\": 7}, {\"weight\": 3026, \"source\": 5, \"target\": 6}, {\"weight\": 7143, \"source\": 6, \"target\": 8}, {\"weight\": 8209, \"source\": 6, \"target\": 7}, {\"weight\": 6387, \"source\": 7, \"target\": 8}]}",
"id": 1120,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HIN, QFN, IXL, LRT, NUE, SPR, DUJ, TOE, AOQ\n- Travel distances (in kilometers) between each pair of airports:\nHIN to NUE: 8954\nHIN to SPR: 13625\nHIN to IXL: 5650\nHIN to LRT: 9897\nHIN to AOQ: 12391\nHIN to QFN: 12009\nHIN to TOE: 10268\nHIN to DUJ: 11721\nQFN to NUE: 4611\nQFN to SPR: 9174\nQFN to IXL: 9819\nQFN to LRT: 4738\nQFN to AOQ: 1572\nQFN to TOE: 6005\nQFN to DUJ: 6761\nIXL to NUE: 6128\nIXL to SPR: 14925\nIXL to LRT: 7192\nIXL to AOQ: 10160\nIXL to TOE: 6751\nIXL to DUJ: 12512\nLRT to NUE: 1307\nLRT to SPR: 9162\nLRT to AOQ: 5120\nLRT to TOE: 2138\nLRT to DUJ: 7033\nNUE to SPR: 9240\nNUE to AOQ: 4846\nNUE to TOE: 1797\nNUE to DUJ: 7086\nSPR to AOQ: 9556\nSPR to TOE: 10034\nSPR to DUJ: 3026\nDUJ to AOQ: 7143\nDUJ to TOE: 8209\nTOE to AOQ: 6387\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLG, LDH, ZIH, IGM, EBJ, PSR, YQR, KYU, LZC\n- Travel distances (in kilometers) between each pair of airports:\nMLG to ZIH: 17126\nMLG to KYU: 16477\nMLG to YQR: 14501\nMLG to LZC: 17514\nMLG to PSR: 12322\nMLG to EBJ: 11799\nMLG to IGM: 15082\nMLG to LDH: 5510\nLDH to ZIH: 14749\nLDH to KYU: 13648\nLDH to YQR: 13975\nLDH to LZC: 15137\nLDH to PSR: 17496\nLDH to EBJ: 16612\nLDH to IGM: 12705\nZIH to KYU: 6759\nZIH to YQR: 3832\nZIH to LZC: 691\nZIH to PSR: 10673\nZIH to EBJ: 9751\nZIH to IGM: 2732\nIGM to KYU: 4897\nIGM to YQR: 2139\nIGM to LZC: 3064\nIGM to PSR: 9956\nIGM to EBJ: 8701\nEBJ to KYU: 10749\nEBJ to YQR: 7621\nEBJ to LZC: 9794\nEBJ to PSR: 1671\nPSR to KYU: 12083\nPSR to YQR: 8955\nPSR to LZC: 10716\nYQR to KYU: 4313\nYQR to LZC: 3875\nKYU to LZC: 7091\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52820,
"style": "rule"
}
|
{
"exact_answer": 52820,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MLG\", \"id\": 0}, {\"name\": \"LDH\", \"id\": 1}, {\"name\": \"ZIH\", \"id\": 2}, {\"name\": \"IGM\", \"id\": 3}, {\"name\": \"EBJ\", \"id\": 4}, {\"name\": \"PSR\", \"id\": 5}, {\"name\": \"YQR\", \"id\": 6}, {\"name\": \"KYU\", \"id\": 7}, {\"name\": \"LZC\", \"id\": 8}], \"links\": [{\"weight\": 17126, \"source\": 0, \"target\": 2}, {\"weight\": 16477, \"source\": 0, \"target\": 7}, {\"weight\": 14501, \"source\": 0, \"target\": 6}, {\"weight\": 17514, \"source\": 0, \"target\": 8}, {\"weight\": 12322, \"source\": 0, \"target\": 5}, {\"weight\": 11799, \"source\": 0, \"target\": 4}, {\"weight\": 15082, \"source\": 0, \"target\": 3}, {\"weight\": 5510, \"source\": 0, \"target\": 1}, {\"weight\": 14749, \"source\": 1, \"target\": 2}, {\"weight\": 13648, \"source\": 1, \"target\": 7}, {\"weight\": 13975, \"source\": 1, \"target\": 6}, {\"weight\": 15137, \"source\": 1, \"target\": 8}, {\"weight\": 17496, \"source\": 1, \"target\": 5}, {\"weight\": 16612, \"source\": 1, \"target\": 4}, {\"weight\": 12705, \"source\": 1, \"target\": 3}, {\"weight\": 6759, \"source\": 2, \"target\": 7}, {\"weight\": 3832, \"source\": 2, \"target\": 6}, {\"weight\": 691, \"source\": 2, \"target\": 8}, {\"weight\": 10673, \"source\": 2, \"target\": 5}, {\"weight\": 9751, \"source\": 2, \"target\": 4}, {\"weight\": 2732, \"source\": 2, \"target\": 3}, {\"weight\": 4897, \"source\": 3, \"target\": 7}, {\"weight\": 2139, \"source\": 3, \"target\": 6}, {\"weight\": 3064, \"source\": 3, \"target\": 8}, {\"weight\": 9956, \"source\": 3, \"target\": 5}, {\"weight\": 8701, \"source\": 3, \"target\": 4}, {\"weight\": 10749, \"source\": 4, \"target\": 7}, {\"weight\": 7621, \"source\": 4, \"target\": 6}, {\"weight\": 9794, \"source\": 4, \"target\": 8}, {\"weight\": 1671, \"source\": 4, \"target\": 5}, {\"weight\": 12083, \"source\": 5, \"target\": 7}, {\"weight\": 8955, \"source\": 5, \"target\": 6}, {\"weight\": 10716, \"source\": 5, \"target\": 8}, {\"weight\": 4313, \"source\": 6, \"target\": 7}, {\"weight\": 3875, \"source\": 6, \"target\": 8}, {\"weight\": 7091, \"source\": 7, \"target\": 8}]}",
"id": 1121,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLG, LDH, ZIH, IGM, EBJ, PSR, YQR, KYU, LZC\n- Travel distances (in kilometers) between each pair of airports:\nMLG to ZIH: 17126\nMLG to KYU: 16477\nMLG to YQR: 14501\nMLG to LZC: 17514\nMLG to PSR: 12322\nMLG to EBJ: 11799\nMLG to IGM: 15082\nMLG to LDH: 5510\nLDH to ZIH: 14749\nLDH to KYU: 13648\nLDH to YQR: 13975\nLDH to LZC: 15137\nLDH to PSR: 17496\nLDH to EBJ: 16612\nLDH to IGM: 12705\nZIH to KYU: 6759\nZIH to YQR: 3832\nZIH to LZC: 691\nZIH to PSR: 10673\nZIH to EBJ: 9751\nZIH to IGM: 2732\nIGM to KYU: 4897\nIGM to YQR: 2139\nIGM to LZC: 3064\nIGM to PSR: 9956\nIGM to EBJ: 8701\nEBJ to KYU: 10749\nEBJ to YQR: 7621\nEBJ to LZC: 9794\nEBJ to PSR: 1671\nPSR to KYU: 12083\nPSR to YQR: 8955\nPSR to LZC: 10716\nYQR to KYU: 4313\nYQR to LZC: 3875\nKYU to LZC: 7091\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOJ, ILR, ZCO, DLA, BDL, KAO, GFF, HVR, SMF\n- Travel distances (in kilometers) between each pair of airports:\nSOJ to DLA: 7537\nSOJ to HVR: 9260\nSOJ to BDL: 7104\nSOJ to SMF: 9272\nSOJ to KAO: 2258\nSOJ to ZCO: 14834\nSOJ to ILR: 7207\nSOJ to GFF: 17021\nILR to DLA: 1029\nILR to HVR: 12191\nILR to BDL: 9552\nILR to SMF: 13111\nILR to KAO: 7075\nILR to ZCO: 10407\nILR to GFF: 16364\nZCO to DLA: 10330\nZCO to HVR: 10566\nZCO to BDL: 9093\nZCO to SMF: 10271\nZCO to KAO: 14852\nZCO to GFF: 12429\nDLA to HVR: 12373\nDLA to BDL: 9670\nDLA to SMF: 13252\nDLA to KAO: 7342\nDLA to GFF: 15399\nBDL to HVR: 3202\nBDL to SMF: 4110\nBDL to KAO: 7727\nBDL to GFF: 16588\nKAO to HVR: 9883\nKAO to SMF: 9895\nKAO to GFF: 16338\nGFF to HVR: 14236\nGFF to SMF: 12557\nHVR to SMF: 1793\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57777,
"style": "rule"
}
|
{
"exact_answer": 57777,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SOJ\", \"id\": 0}, {\"name\": \"ILR\", \"id\": 1}, {\"name\": \"ZCO\", \"id\": 2}, {\"name\": \"DLA\", \"id\": 3}, {\"name\": \"BDL\", \"id\": 4}, {\"name\": \"KAO\", \"id\": 5}, {\"name\": \"GFF\", \"id\": 6}, {\"name\": \"HVR\", \"id\": 7}, {\"name\": \"SMF\", \"id\": 8}], \"links\": [{\"weight\": 7537, \"source\": 0, \"target\": 3}, {\"weight\": 9260, \"source\": 0, \"target\": 7}, {\"weight\": 7104, \"source\": 0, \"target\": 4}, {\"weight\": 9272, \"source\": 0, \"target\": 8}, {\"weight\": 2258, \"source\": 0, \"target\": 5}, {\"weight\": 14834, \"source\": 0, \"target\": 2}, {\"weight\": 7207, \"source\": 0, \"target\": 1}, {\"weight\": 17021, \"source\": 0, \"target\": 6}, {\"weight\": 1029, \"source\": 1, \"target\": 3}, {\"weight\": 12191, \"source\": 1, \"target\": 7}, {\"weight\": 9552, \"source\": 1, \"target\": 4}, {\"weight\": 13111, \"source\": 1, \"target\": 8}, {\"weight\": 7075, \"source\": 1, \"target\": 5}, {\"weight\": 10407, \"source\": 1, \"target\": 2}, {\"weight\": 16364, \"source\": 1, \"target\": 6}, {\"weight\": 10330, \"source\": 2, \"target\": 3}, {\"weight\": 10566, \"source\": 2, \"target\": 7}, {\"weight\": 9093, \"source\": 2, \"target\": 4}, {\"weight\": 10271, \"source\": 2, \"target\": 8}, {\"weight\": 14852, \"source\": 2, \"target\": 5}, {\"weight\": 12429, \"source\": 2, \"target\": 6}, {\"weight\": 12373, \"source\": 3, \"target\": 7}, {\"weight\": 9670, \"source\": 3, \"target\": 4}, {\"weight\": 13252, \"source\": 3, \"target\": 8}, {\"weight\": 7342, \"source\": 3, \"target\": 5}, {\"weight\": 15399, \"source\": 3, \"target\": 6}, {\"weight\": 3202, \"source\": 4, \"target\": 7}, {\"weight\": 4110, \"source\": 4, \"target\": 8}, {\"weight\": 7727, \"source\": 4, \"target\": 5}, {\"weight\": 16588, \"source\": 4, \"target\": 6}, {\"weight\": 9883, \"source\": 5, \"target\": 7}, {\"weight\": 9895, \"source\": 5, \"target\": 8}, {\"weight\": 16338, \"source\": 5, \"target\": 6}, {\"weight\": 14236, \"source\": 6, \"target\": 7}, {\"weight\": 12557, \"source\": 6, \"target\": 8}, {\"weight\": 1793, \"source\": 7, \"target\": 8}]}",
"id": 1122,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SOJ, ILR, ZCO, DLA, BDL, KAO, GFF, HVR, SMF\n- Travel distances (in kilometers) between each pair of airports:\nSOJ to DLA: 7537\nSOJ to HVR: 9260\nSOJ to BDL: 7104\nSOJ to SMF: 9272\nSOJ to KAO: 2258\nSOJ to ZCO: 14834\nSOJ to ILR: 7207\nSOJ to GFF: 17021\nILR to DLA: 1029\nILR to HVR: 12191\nILR to BDL: 9552\nILR to SMF: 13111\nILR to KAO: 7075\nILR to ZCO: 10407\nILR to GFF: 16364\nZCO to DLA: 10330\nZCO to HVR: 10566\nZCO to BDL: 9093\nZCO to SMF: 10271\nZCO to KAO: 14852\nZCO to GFF: 12429\nDLA to HVR: 12373\nDLA to BDL: 9670\nDLA to SMF: 13252\nDLA to KAO: 7342\nDLA to GFF: 15399\nBDL to HVR: 3202\nBDL to SMF: 4110\nBDL to KAO: 7727\nBDL to GFF: 16588\nKAO to HVR: 9883\nKAO to SMF: 9895\nKAO to GFF: 16338\nGFF to HVR: 14236\nGFF to SMF: 12557\nHVR to SMF: 1793\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKG, VIN, UFA, NBO, MQX, CAE, GAE, IXC, PMF\n- Travel distances (in kilometers) between each pair of airports:\nTKG to NBO: 8544\nTKG to UFA: 8121\nTKG to IXC: 5085\nTKG to CAE: 16820\nTKG to MQX: 8938\nTKG to PMF: 11581\nTKG to GAE: 11279\nTKG to VIN: 10630\nVIN to NBO: 5741\nVIN to UFA: 5260\nVIN to IXC: 6276\nVIN to CAE: 12091\nVIN to MQX: 5084\nVIN to PMF: 5110\nVIN to GAE: 4776\nUFA to NBO: 6551\nUFA to IXC: 3592\nUFA to CAE: 9519\nUFA to MQX: 5896\nUFA to PMF: 4373\nUFA to GAE: 4408\nNBO to IXC: 5652\nNBO to CAE: 13266\nNBO to MQX: 1669\nNBO to PMF: 6381\nNBO to GAE: 5970\nMQX to IXC: 5294\nMQX to CAE: 12714\nMQX to PMF: 5816\nMQX to GAE: 5405\nCAE to IXC: 12967\nCAE to PMF: 7640\nCAE to GAE: 8329\nGAE to IXC: 6797\nGAE to PMF: 1724\nIXC to PMF: 7015\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47633,
"style": "rule"
}
|
{
"exact_answer": 47633,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TKG\", \"id\": 0}, {\"name\": \"VIN\", \"id\": 1}, {\"name\": \"UFA\", \"id\": 2}, {\"name\": \"NBO\", \"id\": 3}, {\"name\": \"MQX\", \"id\": 4}, {\"name\": \"CAE\", \"id\": 5}, {\"name\": \"GAE\", \"id\": 6}, {\"name\": \"IXC\", \"id\": 7}, {\"name\": \"PMF\", \"id\": 8}], \"links\": [{\"weight\": 8544, \"source\": 0, \"target\": 3}, {\"weight\": 8121, \"source\": 0, \"target\": 2}, {\"weight\": 5085, \"source\": 0, \"target\": 7}, {\"weight\": 16820, \"source\": 0, \"target\": 5}, {\"weight\": 8938, \"source\": 0, \"target\": 4}, {\"weight\": 11581, \"source\": 0, \"target\": 8}, {\"weight\": 11279, \"source\": 0, \"target\": 6}, {\"weight\": 10630, \"source\": 0, \"target\": 1}, {\"weight\": 5741, \"source\": 1, \"target\": 3}, {\"weight\": 5260, \"source\": 1, \"target\": 2}, {\"weight\": 6276, \"source\": 1, \"target\": 7}, {\"weight\": 12091, \"source\": 1, \"target\": 5}, {\"weight\": 5084, \"source\": 1, \"target\": 4}, {\"weight\": 5110, \"source\": 1, \"target\": 8}, {\"weight\": 4776, \"source\": 1, \"target\": 6}, {\"weight\": 6551, \"source\": 2, \"target\": 3}, {\"weight\": 3592, \"source\": 2, \"target\": 7}, {\"weight\": 9519, \"source\": 2, \"target\": 5}, {\"weight\": 5896, \"source\": 2, \"target\": 4}, {\"weight\": 4373, \"source\": 2, \"target\": 8}, {\"weight\": 4408, \"source\": 2, \"target\": 6}, {\"weight\": 5652, \"source\": 3, \"target\": 7}, {\"weight\": 13266, \"source\": 3, \"target\": 5}, {\"weight\": 1669, \"source\": 3, \"target\": 4}, {\"weight\": 6381, \"source\": 3, \"target\": 8}, {\"weight\": 5970, \"source\": 3, \"target\": 6}, {\"weight\": 5294, \"source\": 4, \"target\": 7}, {\"weight\": 12714, \"source\": 4, \"target\": 5}, {\"weight\": 5816, \"source\": 4, \"target\": 8}, {\"weight\": 5405, \"source\": 4, \"target\": 6}, {\"weight\": 12967, \"source\": 5, \"target\": 7}, {\"weight\": 7640, \"source\": 5, \"target\": 8}, {\"weight\": 8329, \"source\": 5, \"target\": 6}, {\"weight\": 6797, \"source\": 6, \"target\": 7}, {\"weight\": 1724, \"source\": 6, \"target\": 8}, {\"weight\": 7015, \"source\": 7, \"target\": 8}]}",
"id": 1123,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TKG, VIN, UFA, NBO, MQX, CAE, GAE, IXC, PMF\n- Travel distances (in kilometers) between each pair of airports:\nTKG to NBO: 8544\nTKG to UFA: 8121\nTKG to IXC: 5085\nTKG to CAE: 16820\nTKG to MQX: 8938\nTKG to PMF: 11581\nTKG to GAE: 11279\nTKG to VIN: 10630\nVIN to NBO: 5741\nVIN to UFA: 5260\nVIN to IXC: 6276\nVIN to CAE: 12091\nVIN to MQX: 5084\nVIN to PMF: 5110\nVIN to GAE: 4776\nUFA to NBO: 6551\nUFA to IXC: 3592\nUFA to CAE: 9519\nUFA to MQX: 5896\nUFA to PMF: 4373\nUFA to GAE: 4408\nNBO to IXC: 5652\nNBO to CAE: 13266\nNBO to MQX: 1669\nNBO to PMF: 6381\nNBO to GAE: 5970\nMQX to IXC: 5294\nMQX to CAE: 12714\nMQX to PMF: 5816\nMQX to GAE: 5405\nCAE to IXC: 12967\nCAE to PMF: 7640\nCAE to GAE: 8329\nGAE to IXC: 6797\nGAE to PMF: 1724\nIXC to PMF: 7015\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LSA, MBT, EAE, YAX, KTW, CIY, GDE, UIP, BIK\n- Travel distances (in kilometers) between each pair of airports:\nLSA to KTW: 14136\nLSA to UIP: 15739\nLSA to CIY: 15558\nLSA to GDE: 13686\nLSA to BIK: 6609\nLSA to EAE: 3326\nLSA to MBT: 4868\nLSA to YAX: 15556\nMBT to KTW: 10017\nMBT to UIP: 11618\nMBT to CIY: 11439\nMBT to GDE: 9846\nMBT to BIK: 4726\nMBT to EAE: 7054\nMBT to YAX: 13329\nEAE to KTW: 16322\nEAE to UIP: 17809\nEAE to CIY: 17744\nEAE to GDE: 15872\nEAE to BIK: 8795\nEAE to YAX: 13128\nYAX to KTW: 8582\nYAX to UIP: 8087\nYAX to CIY: 9253\nYAX to GDE: 13885\nYAX to BIK: 17314\nKTW to UIP: 2090\nKTW to CIY: 1646\nKTW to GDE: 5648\nKTW to BIK: 13375\nCIY to UIP: 2146\nCIY to GDE: 5892\nCIY to BIK: 14350\nGDE to UIP: 6868\nGDE to BIK: 11936\nUIP to BIK: 15021\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55162,
"style": "rule"
}
|
{
"exact_answer": 55162,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LSA\", \"id\": 0}, {\"name\": \"MBT\", \"id\": 1}, {\"name\": \"EAE\", \"id\": 2}, {\"name\": \"YAX\", \"id\": 3}, {\"name\": \"KTW\", \"id\": 4}, {\"name\": \"CIY\", \"id\": 5}, {\"name\": \"GDE\", \"id\": 6}, {\"name\": \"UIP\", \"id\": 7}, {\"name\": \"BIK\", \"id\": 8}], \"links\": [{\"weight\": 14136, \"source\": 0, \"target\": 4}, {\"weight\": 15739, \"source\": 0, \"target\": 7}, {\"weight\": 15558, \"source\": 0, \"target\": 5}, {\"weight\": 13686, \"source\": 0, \"target\": 6}, {\"weight\": 6609, \"source\": 0, \"target\": 8}, {\"weight\": 3326, \"source\": 0, \"target\": 2}, {\"weight\": 4868, \"source\": 0, \"target\": 1}, {\"weight\": 15556, \"source\": 0, \"target\": 3}, {\"weight\": 10017, \"source\": 1, \"target\": 4}, {\"weight\": 11618, \"source\": 1, \"target\": 7}, {\"weight\": 11439, \"source\": 1, \"target\": 5}, {\"weight\": 9846, \"source\": 1, \"target\": 6}, {\"weight\": 4726, \"source\": 1, \"target\": 8}, {\"weight\": 7054, \"source\": 1, \"target\": 2}, {\"weight\": 13329, \"source\": 1, \"target\": 3}, {\"weight\": 16322, \"source\": 2, \"target\": 4}, {\"weight\": 17809, \"source\": 2, \"target\": 7}, {\"weight\": 17744, \"source\": 2, \"target\": 5}, {\"weight\": 15872, \"source\": 2, \"target\": 6}, {\"weight\": 8795, \"source\": 2, \"target\": 8}, {\"weight\": 13128, \"source\": 2, \"target\": 3}, {\"weight\": 8582, \"source\": 3, \"target\": 4}, {\"weight\": 8087, \"source\": 3, \"target\": 7}, {\"weight\": 9253, \"source\": 3, \"target\": 5}, {\"weight\": 13885, \"source\": 3, \"target\": 6}, {\"weight\": 17314, \"source\": 3, \"target\": 8}, {\"weight\": 2090, \"source\": 4, \"target\": 7}, {\"weight\": 1646, \"source\": 4, \"target\": 5}, {\"weight\": 5648, \"source\": 4, \"target\": 6}, {\"weight\": 13375, \"source\": 4, \"target\": 8}, {\"weight\": 2146, \"source\": 5, \"target\": 7}, {\"weight\": 5892, \"source\": 5, \"target\": 6}, {\"weight\": 14350, \"source\": 5, \"target\": 8}, {\"weight\": 6868, \"source\": 6, \"target\": 7}, {\"weight\": 11936, \"source\": 6, \"target\": 8}, {\"weight\": 15021, \"source\": 7, \"target\": 8}]}",
"id": 1124,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LSA, MBT, EAE, YAX, KTW, CIY, GDE, UIP, BIK\n- Travel distances (in kilometers) between each pair of airports:\nLSA to KTW: 14136\nLSA to UIP: 15739\nLSA to CIY: 15558\nLSA to GDE: 13686\nLSA to BIK: 6609\nLSA to EAE: 3326\nLSA to MBT: 4868\nLSA to YAX: 15556\nMBT to KTW: 10017\nMBT to UIP: 11618\nMBT to CIY: 11439\nMBT to GDE: 9846\nMBT to BIK: 4726\nMBT to EAE: 7054\nMBT to YAX: 13329\nEAE to KTW: 16322\nEAE to UIP: 17809\nEAE to CIY: 17744\nEAE to GDE: 15872\nEAE to BIK: 8795\nEAE to YAX: 13128\nYAX to KTW: 8582\nYAX to UIP: 8087\nYAX to CIY: 9253\nYAX to GDE: 13885\nYAX to BIK: 17314\nKTW to UIP: 2090\nKTW to CIY: 1646\nKTW to GDE: 5648\nKTW to BIK: 13375\nCIY to UIP: 2146\nCIY to GDE: 5892\nCIY to BIK: 14350\nGDE to UIP: 6868\nGDE to BIK: 11936\nUIP to BIK: 15021\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDQ, JAV, ERN, LHE, BIM, GUA, ZHY, MCM, BLE\n- Travel distances (in kilometers) between each pair of airports:\nSDQ to BIM: 1470\nSDQ to ZHY: 14506\nSDQ to GUA: 2373\nSDQ to LHE: 13318\nSDQ to ERN: 4118\nSDQ to JAV: 8500\nSDQ to BLE: 8309\nSDQ to MCM: 7605\nJAV to BIM: 7928\nJAV to ZHY: 10722\nJAV to GUA: 9445\nJAV to LHE: 9096\nJAV to ERN: 12460\nJAV to BLE: 4262\nJAV to MCM: 4912\nERN to BIM: 5476\nERN to ZHY: 18060\nERN to GUA: 5088\nERN to LHE: 16328\nERN to BLE: 11409\nERN to MCM: 10584\nLHE to BIM: 13170\nLHE to ZHY: 3415\nLHE to GUA: 14643\nLHE to BLE: 5949\nLHE to MCM: 5978\nBIM to ZHY: 13591\nBIM to GUA: 1770\nBIM to BLE: 8324\nBIM to MCM: 8244\nGUA to ZHY: 14366\nGUA to BLE: 9841\nGUA to MCM: 9682\nZHY to BLE: 7401\nZHY to MCM: 8055\nMCM to BLE: 1970\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47565,
"style": "rule"
}
|
{
"exact_answer": 47565,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SDQ\", \"id\": 0}, {\"name\": \"JAV\", \"id\": 1}, {\"name\": \"ERN\", \"id\": 2}, {\"name\": \"LHE\", \"id\": 3}, {\"name\": \"BIM\", \"id\": 4}, {\"name\": \"GUA\", \"id\": 5}, {\"name\": \"ZHY\", \"id\": 6}, {\"name\": \"MCM\", \"id\": 7}, {\"name\": \"BLE\", \"id\": 8}], \"links\": [{\"weight\": 1470, \"source\": 0, \"target\": 4}, {\"weight\": 14506, \"source\": 0, \"target\": 6}, {\"weight\": 2373, \"source\": 0, \"target\": 5}, {\"weight\": 13318, \"source\": 0, \"target\": 3}, {\"weight\": 4118, \"source\": 0, \"target\": 2}, {\"weight\": 8500, \"source\": 0, \"target\": 1}, {\"weight\": 8309, \"source\": 0, \"target\": 8}, {\"weight\": 7605, \"source\": 0, \"target\": 7}, {\"weight\": 7928, \"source\": 1, \"target\": 4}, {\"weight\": 10722, \"source\": 1, \"target\": 6}, {\"weight\": 9445, \"source\": 1, \"target\": 5}, {\"weight\": 9096, \"source\": 1, \"target\": 3}, {\"weight\": 12460, \"source\": 1, \"target\": 2}, {\"weight\": 4262, \"source\": 1, \"target\": 8}, {\"weight\": 4912, \"source\": 1, \"target\": 7}, {\"weight\": 5476, \"source\": 2, \"target\": 4}, {\"weight\": 18060, \"source\": 2, \"target\": 6}, {\"weight\": 5088, \"source\": 2, \"target\": 5}, {\"weight\": 16328, \"source\": 2, \"target\": 3}, {\"weight\": 11409, \"source\": 2, \"target\": 8}, {\"weight\": 10584, \"source\": 2, \"target\": 7}, {\"weight\": 13170, \"source\": 3, \"target\": 4}, {\"weight\": 3415, \"source\": 3, \"target\": 6}, {\"weight\": 14643, \"source\": 3, \"target\": 5}, {\"weight\": 5949, \"source\": 3, \"target\": 8}, {\"weight\": 5978, \"source\": 3, \"target\": 7}, {\"weight\": 13591, \"source\": 4, \"target\": 6}, {\"weight\": 1770, \"source\": 4, \"target\": 5}, {\"weight\": 8324, \"source\": 4, \"target\": 8}, {\"weight\": 8244, \"source\": 4, \"target\": 7}, {\"weight\": 14366, \"source\": 5, \"target\": 6}, {\"weight\": 9841, \"source\": 5, \"target\": 8}, {\"weight\": 9682, \"source\": 5, \"target\": 7}, {\"weight\": 7401, \"source\": 6, \"target\": 8}, {\"weight\": 8055, \"source\": 6, \"target\": 7}, {\"weight\": 1970, \"source\": 7, \"target\": 8}]}",
"id": 1125,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SDQ, JAV, ERN, LHE, BIM, GUA, ZHY, MCM, BLE\n- Travel distances (in kilometers) between each pair of airports:\nSDQ to BIM: 1470\nSDQ to ZHY: 14506\nSDQ to GUA: 2373\nSDQ to LHE: 13318\nSDQ to ERN: 4118\nSDQ to JAV: 8500\nSDQ to BLE: 8309\nSDQ to MCM: 7605\nJAV to BIM: 7928\nJAV to ZHY: 10722\nJAV to GUA: 9445\nJAV to LHE: 9096\nJAV to ERN: 12460\nJAV to BLE: 4262\nJAV to MCM: 4912\nERN to BIM: 5476\nERN to ZHY: 18060\nERN to GUA: 5088\nERN to LHE: 16328\nERN to BLE: 11409\nERN to MCM: 10584\nLHE to BIM: 13170\nLHE to ZHY: 3415\nLHE to GUA: 14643\nLHE to BLE: 5949\nLHE to MCM: 5978\nBIM to ZHY: 13591\nBIM to GUA: 1770\nBIM to BLE: 8324\nBIM to MCM: 8244\nGUA to ZHY: 14366\nGUA to BLE: 9841\nGUA to MCM: 9682\nZHY to BLE: 7401\nZHY to MCM: 8055\nMCM to BLE: 1970\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDL, TBT, YAP, JAC, KIH, CIC, CZL, RDU, WMI\n- Travel distances (in kilometers) between each pair of airports:\nPDL to RDU: 4828\nPDL to TBT: 9352\nPDL to CZL: 2864\nPDL to KIH: 7485\nPDL to JAC: 7274\nPDL to WMI: 3928\nPDL to CIC: 8385\nPDL to YAP: 15178\nTBT to RDU: 6111\nTBT to CZL: 10094\nTBT to KIH: 14613\nTBT to JAC: 8381\nTBT to WMI: 11459\nTBT to CIC: 9241\nTBT to YAP: 19540\nYAP to RDU: 14449\nYAP to CZL: 13273\nYAP to KIH: 9234\nYAP to JAC: 12105\nYAP to WMI: 11898\nYAP to CIC: 11066\nJAC to RDU: 2958\nJAC to CZL: 9821\nJAC to KIH: 13377\nJAC to WMI: 9152\nJAC to CIC: 1536\nKIH to RDU: 11580\nKIH to CZL: 4854\nKIH to WMI: 4694\nKIH to CIC: 13464\nCIC to RDU: 4099\nCIC to CZL: 10626\nCIC to WMI: 9706\nCZL to RDU: 7478\nCZL to WMI: 2227\nRDU to WMI: 7527\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50042,
"style": "rule"
}
|
{
"exact_answer": 50042,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDL\", \"id\": 0}, {\"name\": \"TBT\", \"id\": 1}, {\"name\": \"YAP\", \"id\": 2}, {\"name\": \"JAC\", \"id\": 3}, {\"name\": \"KIH\", \"id\": 4}, {\"name\": \"CIC\", \"id\": 5}, {\"name\": \"CZL\", \"id\": 6}, {\"name\": \"RDU\", \"id\": 7}, {\"name\": \"WMI\", \"id\": 8}], \"links\": [{\"weight\": 4828, \"source\": 0, \"target\": 7}, {\"weight\": 9352, \"source\": 0, \"target\": 1}, {\"weight\": 2864, \"source\": 0, \"target\": 6}, {\"weight\": 7485, \"source\": 0, \"target\": 4}, {\"weight\": 7274, \"source\": 0, \"target\": 3}, {\"weight\": 3928, \"source\": 0, \"target\": 8}, {\"weight\": 8385, \"source\": 0, \"target\": 5}, {\"weight\": 15178, \"source\": 0, \"target\": 2}, {\"weight\": 6111, \"source\": 1, \"target\": 7}, {\"weight\": 10094, \"source\": 1, \"target\": 6}, {\"weight\": 14613, \"source\": 1, \"target\": 4}, {\"weight\": 8381, \"source\": 1, \"target\": 3}, {\"weight\": 11459, \"source\": 1, \"target\": 8}, {\"weight\": 9241, \"source\": 1, \"target\": 5}, {\"weight\": 19540, \"source\": 1, \"target\": 2}, {\"weight\": 14449, \"source\": 2, \"target\": 7}, {\"weight\": 13273, \"source\": 2, \"target\": 6}, {\"weight\": 9234, \"source\": 2, \"target\": 4}, {\"weight\": 12105, \"source\": 2, \"target\": 3}, {\"weight\": 11898, \"source\": 2, \"target\": 8}, {\"weight\": 11066, \"source\": 2, \"target\": 5}, {\"weight\": 2958, \"source\": 3, \"target\": 7}, {\"weight\": 9821, \"source\": 3, \"target\": 6}, {\"weight\": 13377, \"source\": 3, \"target\": 4}, {\"weight\": 9152, \"source\": 3, \"target\": 8}, {\"weight\": 1536, \"source\": 3, \"target\": 5}, {\"weight\": 11580, \"source\": 4, \"target\": 7}, {\"weight\": 4854, \"source\": 4, \"target\": 6}, {\"weight\": 4694, \"source\": 4, \"target\": 8}, {\"weight\": 13464, \"source\": 4, \"target\": 5}, {\"weight\": 4099, \"source\": 5, \"target\": 7}, {\"weight\": 10626, \"source\": 5, \"target\": 6}, {\"weight\": 9706, \"source\": 5, \"target\": 8}, {\"weight\": 7478, \"source\": 6, \"target\": 7}, {\"weight\": 2227, \"source\": 6, \"target\": 8}, {\"weight\": 7527, \"source\": 7, \"target\": 8}]}",
"id": 1126,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDL, TBT, YAP, JAC, KIH, CIC, CZL, RDU, WMI\n- Travel distances (in kilometers) between each pair of airports:\nPDL to RDU: 4828\nPDL to TBT: 9352\nPDL to CZL: 2864\nPDL to KIH: 7485\nPDL to JAC: 7274\nPDL to WMI: 3928\nPDL to CIC: 8385\nPDL to YAP: 15178\nTBT to RDU: 6111\nTBT to CZL: 10094\nTBT to KIH: 14613\nTBT to JAC: 8381\nTBT to WMI: 11459\nTBT to CIC: 9241\nTBT to YAP: 19540\nYAP to RDU: 14449\nYAP to CZL: 13273\nYAP to KIH: 9234\nYAP to JAC: 12105\nYAP to WMI: 11898\nYAP to CIC: 11066\nJAC to RDU: 2958\nJAC to CZL: 9821\nJAC to KIH: 13377\nJAC to WMI: 9152\nJAC to CIC: 1536\nKIH to RDU: 11580\nKIH to CZL: 4854\nKIH to WMI: 4694\nKIH to CIC: 13464\nCIC to RDU: 4099\nCIC to CZL: 10626\nCIC to WMI: 9706\nCZL to RDU: 7478\nCZL to WMI: 2227\nRDU to WMI: 7527\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, INV, PMZ, OXB, MCM, KSQ, BRN, BJV, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nYBG to OXB: 7150\nYBG to KSQ: 10663\nYBG to PMZ: 4580\nYBG to BJV: 7883\nYBG to INV: 6063\nYBG to BRN: 6324\nYBG to BJZ: 6457\nYBG to MCM: 6175\nINV to OXB: 5261\nINV to KSQ: 5539\nINV to PMZ: 9119\nINV to BJV: 3253\nINV to BRN: 1439\nINV to BJZ: 2231\nINV to MCM: 1757\nPMZ to OXB: 9171\nPMZ to KSQ: 13993\nPMZ to BJV: 11424\nPMZ to BRN: 9882\nPMZ to BJZ: 8970\nPMZ to MCM: 9570\nOXB to KSQ: 9457\nOXB to BJV: 5728\nOXB to BRN: 4510\nOXB to BJZ: 3721\nOXB to MCM: 4260\nMCM to KSQ: 5326\nMCM to BJV: 1969\nMCM to BRN: 1004\nMCM to BJZ: 1302\nKSQ to BJV: 4026\nKSQ to BRN: 5069\nKSQ to BJZ: 6533\nBRN to BJV: 2149\nBRN to BJZ: 1561\nBJV to BJZ: 3112\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 37340,
"style": "rule"
}
|
{
"exact_answer": 37340,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBG\", \"id\": 0}, {\"name\": \"INV\", \"id\": 1}, {\"name\": \"PMZ\", \"id\": 2}, {\"name\": \"OXB\", \"id\": 3}, {\"name\": \"MCM\", \"id\": 4}, {\"name\": \"KSQ\", \"id\": 5}, {\"name\": \"BRN\", \"id\": 6}, {\"name\": \"BJV\", \"id\": 7}, {\"name\": \"BJZ\", \"id\": 8}], \"links\": [{\"weight\": 7150, \"source\": 0, \"target\": 3}, {\"weight\": 10663, \"source\": 0, \"target\": 5}, {\"weight\": 4580, \"source\": 0, \"target\": 2}, {\"weight\": 7883, \"source\": 0, \"target\": 7}, {\"weight\": 6063, \"source\": 0, \"target\": 1}, {\"weight\": 6324, \"source\": 0, \"target\": 6}, {\"weight\": 6457, \"source\": 0, \"target\": 8}, {\"weight\": 6175, \"source\": 0, \"target\": 4}, {\"weight\": 5261, \"source\": 1, \"target\": 3}, {\"weight\": 5539, \"source\": 1, \"target\": 5}, {\"weight\": 9119, \"source\": 1, \"target\": 2}, {\"weight\": 3253, \"source\": 1, \"target\": 7}, {\"weight\": 1439, \"source\": 1, \"target\": 6}, {\"weight\": 2231, \"source\": 1, \"target\": 8}, {\"weight\": 1757, \"source\": 1, \"target\": 4}, {\"weight\": 9171, \"source\": 2, \"target\": 3}, {\"weight\": 13993, \"source\": 2, \"target\": 5}, {\"weight\": 11424, \"source\": 2, \"target\": 7}, {\"weight\": 9882, \"source\": 2, \"target\": 6}, {\"weight\": 8970, \"source\": 2, \"target\": 8}, {\"weight\": 9570, \"source\": 2, \"target\": 4}, {\"weight\": 9457, \"source\": 3, \"target\": 5}, {\"weight\": 5728, \"source\": 3, \"target\": 7}, {\"weight\": 4510, \"source\": 3, \"target\": 6}, {\"weight\": 3721, \"source\": 3, \"target\": 8}, {\"weight\": 4260, \"source\": 3, \"target\": 4}, {\"weight\": 5326, \"source\": 4, \"target\": 5}, {\"weight\": 1969, \"source\": 4, \"target\": 7}, {\"weight\": 1004, \"source\": 4, \"target\": 6}, {\"weight\": 1302, \"source\": 4, \"target\": 8}, {\"weight\": 4026, \"source\": 5, \"target\": 7}, {\"weight\": 5069, \"source\": 5, \"target\": 6}, {\"weight\": 6533, \"source\": 5, \"target\": 8}, {\"weight\": 2149, \"source\": 6, \"target\": 7}, {\"weight\": 1561, \"source\": 6, \"target\": 8}, {\"weight\": 3112, \"source\": 7, \"target\": 8}]}",
"id": 1127,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, INV, PMZ, OXB, MCM, KSQ, BRN, BJV, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nYBG to OXB: 7150\nYBG to KSQ: 10663\nYBG to PMZ: 4580\nYBG to BJV: 7883\nYBG to INV: 6063\nYBG to BRN: 6324\nYBG to BJZ: 6457\nYBG to MCM: 6175\nINV to OXB: 5261\nINV to KSQ: 5539\nINV to PMZ: 9119\nINV to BJV: 3253\nINV to BRN: 1439\nINV to BJZ: 2231\nINV to MCM: 1757\nPMZ to OXB: 9171\nPMZ to KSQ: 13993\nPMZ to BJV: 11424\nPMZ to BRN: 9882\nPMZ to BJZ: 8970\nPMZ to MCM: 9570\nOXB to KSQ: 9457\nOXB to BJV: 5728\nOXB to BRN: 4510\nOXB to BJZ: 3721\nOXB to MCM: 4260\nMCM to KSQ: 5326\nMCM to BJV: 1969\nMCM to BRN: 1004\nMCM to BJZ: 1302\nKSQ to BJV: 4026\nKSQ to BRN: 5069\nKSQ to BJZ: 6533\nBRN to BJV: 2149\nBRN to BJZ: 1561\nBJV to BJZ: 3112\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACC, CYZ, CKG, ABR, NJC, FKS, GFF, ULK, DAR\n- Travel distances (in kilometers) between each pair of airports:\nACC to NJC: 8766\nACC to ULK: 14156\nACC to CKG: 11321\nACC to CYZ: 13362\nACC to DAR: 4667\nACC to ABR: 10284\nACC to FKS: 14205\nACC to GFF: 16167\nCYZ to NJC: 6537\nCYZ to ULK: 8337\nCYZ to CKG: 2419\nCYZ to DAR: 10254\nCYZ to ABR: 13192\nCYZ to FKS: 3502\nCYZ to GFF: 6911\nCKG to NJC: 4346\nCKG to ULK: 6750\nCKG to DAR: 8809\nCKG to ABR: 12672\nCKG to FKS: 3317\nCKG to GFF: 8955\nABR to NJC: 11208\nABR to ULK: 16493\nABR to DAR: 14347\nABR to FKS: 10950\nABR to GFF: 15383\nNJC to ULK: 5853\nNJC to DAR: 8413\nNJC to FKS: 6029\nNJC to GFF: 13079\nFKS to ULK: 7526\nFKS to DAR: 12070\nFKS to GFF: 9288\nGFF to ULK: 14720\nGFF to DAR: 12212\nULK to DAR: 12687\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64397,
"style": "rule"
}
|
{
"exact_answer": 64397,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACC\", \"id\": 0}, {\"name\": \"CYZ\", \"id\": 1}, {\"name\": \"CKG\", \"id\": 2}, {\"name\": \"ABR\", \"id\": 3}, {\"name\": \"NJC\", \"id\": 4}, {\"name\": \"FKS\", \"id\": 5}, {\"name\": \"GFF\", \"id\": 6}, {\"name\": \"ULK\", \"id\": 7}, {\"name\": \"DAR\", \"id\": 8}], \"links\": [{\"weight\": 8766, \"source\": 0, \"target\": 4}, {\"weight\": 14156, \"source\": 0, \"target\": 7}, {\"weight\": 11321, \"source\": 0, \"target\": 2}, {\"weight\": 13362, \"source\": 0, \"target\": 1}, {\"weight\": 4667, \"source\": 0, \"target\": 8}, {\"weight\": 10284, \"source\": 0, \"target\": 3}, {\"weight\": 14205, \"source\": 0, \"target\": 5}, {\"weight\": 16167, \"source\": 0, \"target\": 6}, {\"weight\": 6537, \"source\": 1, \"target\": 4}, {\"weight\": 8337, \"source\": 1, \"target\": 7}, {\"weight\": 2419, \"source\": 1, \"target\": 2}, {\"weight\": 10254, \"source\": 1, \"target\": 8}, {\"weight\": 13192, \"source\": 1, \"target\": 3}, {\"weight\": 3502, \"source\": 1, \"target\": 5}, {\"weight\": 6911, \"source\": 1, \"target\": 6}, {\"weight\": 4346, \"source\": 2, \"target\": 4}, {\"weight\": 6750, \"source\": 2, \"target\": 7}, {\"weight\": 8809, \"source\": 2, \"target\": 8}, {\"weight\": 12672, \"source\": 2, \"target\": 3}, {\"weight\": 3317, \"source\": 2, \"target\": 5}, {\"weight\": 8955, \"source\": 2, \"target\": 6}, {\"weight\": 11208, \"source\": 3, \"target\": 4}, {\"weight\": 16493, \"source\": 3, \"target\": 7}, {\"weight\": 14347, \"source\": 3, \"target\": 8}, {\"weight\": 10950, \"source\": 3, \"target\": 5}, {\"weight\": 15383, \"source\": 3, \"target\": 6}, {\"weight\": 5853, \"source\": 4, \"target\": 7}, {\"weight\": 8413, \"source\": 4, \"target\": 8}, {\"weight\": 6029, \"source\": 4, \"target\": 5}, {\"weight\": 13079, \"source\": 4, \"target\": 6}, {\"weight\": 7526, \"source\": 5, \"target\": 7}, {\"weight\": 12070, \"source\": 5, \"target\": 8}, {\"weight\": 9288, \"source\": 5, \"target\": 6}, {\"weight\": 14720, \"source\": 6, \"target\": 7}, {\"weight\": 12212, \"source\": 6, \"target\": 8}, {\"weight\": 12687, \"source\": 7, \"target\": 8}]}",
"id": 1128,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACC, CYZ, CKG, ABR, NJC, FKS, GFF, ULK, DAR\n- Travel distances (in kilometers) between each pair of airports:\nACC to NJC: 8766\nACC to ULK: 14156\nACC to CKG: 11321\nACC to CYZ: 13362\nACC to DAR: 4667\nACC to ABR: 10284\nACC to FKS: 14205\nACC to GFF: 16167\nCYZ to NJC: 6537\nCYZ to ULK: 8337\nCYZ to CKG: 2419\nCYZ to DAR: 10254\nCYZ to ABR: 13192\nCYZ to FKS: 3502\nCYZ to GFF: 6911\nCKG to NJC: 4346\nCKG to ULK: 6750\nCKG to DAR: 8809\nCKG to ABR: 12672\nCKG to FKS: 3317\nCKG to GFF: 8955\nABR to NJC: 11208\nABR to ULK: 16493\nABR to DAR: 14347\nABR to FKS: 10950\nABR to GFF: 15383\nNJC to ULK: 5853\nNJC to DAR: 8413\nNJC to FKS: 6029\nNJC to GFF: 13079\nFKS to ULK: 7526\nFKS to DAR: 12070\nFKS to GFF: 9288\nGFF to ULK: 14720\nGFF to DAR: 12212\nULK to DAR: 12687\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MZL, HPH, HGR, PMZ, NLT, BSR, LYB, LAE, KOS\n- Travel distances (in kilometers) between each pair of airports:\nMZL to PMZ: 1548\nMZL to HPH: 18483\nMZL to LAE: 18354\nMZL to NLT: 15121\nMZL to BSR: 12892\nMZL to HGR: 4061\nMZL to KOS: 18606\nMZL to LYB: 2478\nHPH to PMZ: 17523\nHPH to LAE: 6843\nHPH to NLT: 4631\nHPH to BSR: 7300\nHPH to HGR: 14609\nHPH to KOS: 1423\nHPH to LYB: 16599\nHGR to PMZ: 3517\nHGR to LAE: 16332\nHGR to NLT: 11962\nHGR to BSR: 10549\nHGR to KOS: 14732\nHGR to LYB: 2275\nPMZ to LAE: 17126\nPMZ to NLT: 15208\nPMZ to BSR: 13352\nPMZ to KOS: 17732\nPMZ to LYB: 1732\nNLT to LAE: 9130\nNLT to BSR: 4892\nNLT to KOS: 4645\nNLT to LYB: 13964\nBSR to LAE: 12055\nBSR to KOS: 6509\nBSR to LYB: 12357\nLYB to LAE: 16799\nLYB to KOS: 16722\nLAE to KOS: 6427\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51349,
"style": "rule"
}
|
{
"exact_answer": 51349,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MZL\", \"id\": 0}, {\"name\": \"HPH\", \"id\": 1}, {\"name\": \"HGR\", \"id\": 2}, {\"name\": \"PMZ\", \"id\": 3}, {\"name\": \"NLT\", \"id\": 4}, {\"name\": \"BSR\", \"id\": 5}, {\"name\": \"LYB\", \"id\": 6}, {\"name\": \"LAE\", \"id\": 7}, {\"name\": \"KOS\", \"id\": 8}], \"links\": [{\"weight\": 1548, \"source\": 0, \"target\": 3}, {\"weight\": 18483, \"source\": 0, \"target\": 1}, {\"weight\": 18354, \"source\": 0, \"target\": 7}, {\"weight\": 15121, \"source\": 0, \"target\": 4}, {\"weight\": 12892, \"source\": 0, \"target\": 5}, {\"weight\": 4061, \"source\": 0, \"target\": 2}, {\"weight\": 18606, \"source\": 0, \"target\": 8}, {\"weight\": 2478, \"source\": 0, \"target\": 6}, {\"weight\": 17523, \"source\": 1, \"target\": 3}, {\"weight\": 6843, \"source\": 1, \"target\": 7}, {\"weight\": 4631, \"source\": 1, \"target\": 4}, {\"weight\": 7300, \"source\": 1, \"target\": 5}, {\"weight\": 14609, \"source\": 1, \"target\": 2}, {\"weight\": 1423, \"source\": 1, \"target\": 8}, {\"weight\": 16599, \"source\": 1, \"target\": 6}, {\"weight\": 3517, \"source\": 2, \"target\": 3}, {\"weight\": 16332, \"source\": 2, \"target\": 7}, {\"weight\": 11962, \"source\": 2, \"target\": 4}, {\"weight\": 10549, \"source\": 2, \"target\": 5}, {\"weight\": 14732, \"source\": 2, \"target\": 8}, {\"weight\": 2275, \"source\": 2, \"target\": 6}, {\"weight\": 17126, \"source\": 3, \"target\": 7}, {\"weight\": 15208, \"source\": 3, \"target\": 4}, {\"weight\": 13352, \"source\": 3, \"target\": 5}, {\"weight\": 17732, \"source\": 3, \"target\": 8}, {\"weight\": 1732, \"source\": 3, \"target\": 6}, {\"weight\": 9130, \"source\": 4, \"target\": 7}, {\"weight\": 4892, \"source\": 4, \"target\": 5}, {\"weight\": 4645, \"source\": 4, \"target\": 8}, {\"weight\": 13964, \"source\": 4, \"target\": 6}, {\"weight\": 12055, \"source\": 5, \"target\": 7}, {\"weight\": 6509, \"source\": 5, \"target\": 8}, {\"weight\": 12357, \"source\": 5, \"target\": 6}, {\"weight\": 16799, \"source\": 6, \"target\": 7}, {\"weight\": 16722, \"source\": 6, \"target\": 8}, {\"weight\": 6427, \"source\": 7, \"target\": 8}]}",
"id": 1129,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MZL, HPH, HGR, PMZ, NLT, BSR, LYB, LAE, KOS\n- Travel distances (in kilometers) between each pair of airports:\nMZL to PMZ: 1548\nMZL to HPH: 18483\nMZL to LAE: 18354\nMZL to NLT: 15121\nMZL to BSR: 12892\nMZL to HGR: 4061\nMZL to KOS: 18606\nMZL to LYB: 2478\nHPH to PMZ: 17523\nHPH to LAE: 6843\nHPH to NLT: 4631\nHPH to BSR: 7300\nHPH to HGR: 14609\nHPH to KOS: 1423\nHPH to LYB: 16599\nHGR to PMZ: 3517\nHGR to LAE: 16332\nHGR to NLT: 11962\nHGR to BSR: 10549\nHGR to KOS: 14732\nHGR to LYB: 2275\nPMZ to LAE: 17126\nPMZ to NLT: 15208\nPMZ to BSR: 13352\nPMZ to KOS: 17732\nPMZ to LYB: 1732\nNLT to LAE: 9130\nNLT to BSR: 4892\nNLT to KOS: 4645\nNLT to LYB: 13964\nBSR to LAE: 12055\nBSR to KOS: 6509\nBSR to LYB: 12357\nLYB to LAE: 16799\nLYB to KOS: 16722\nLAE to KOS: 6427\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EJA, IAH, NPL, MAB, SPD, NEV, TCR, HMA, YRG\n- Travel distances (in kilometers) between each pair of airports:\nEJA to SPD: 17149\nEJA to NEV: 2279\nEJA to IAH: 3845\nEJA to MAB: 4219\nEJA to NPL: 14390\nEJA to TCR: 17373\nEJA to HMA: 13096\nEJA to YRG: 6008\nIAH to SPD: 15185\nIAH to NEV: 3610\nIAH to MAB: 6521\nIAH to NPL: 12927\nIAH to TCR: 15789\nIAH to HMA: 11436\nIAH to YRG: 4105\nNPL to SPD: 11611\nNPL to NEV: 16051\nNPL to MAB: 14522\nNPL to TCR: 12077\nNPL to HMA: 14729\nNPL to YRG: 16243\nMAB to SPD: 16033\nMAB to NEV: 3081\nMAB to TCR: 15688\nMAB to HMA: 12732\nMAB to YRG: 7717\nSPD to NEV: 15050\nSPD to TCR: 2394\nSPD to HMA: 5533\nSPD to YRG: 12982\nNEV to TCR: 15356\nNEV to HMA: 11100\nNEV to YRG: 4700\nTCR to HMA: 6127\nTCR to YRG: 13460\nHMA to YRG: 9160\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56996,
"style": "rule"
}
|
{
"exact_answer": 56996,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EJA\", \"id\": 0}, {\"name\": \"IAH\", \"id\": 1}, {\"name\": \"NPL\", \"id\": 2}, {\"name\": \"MAB\", \"id\": 3}, {\"name\": \"SPD\", \"id\": 4}, {\"name\": \"NEV\", \"id\": 5}, {\"name\": \"TCR\", \"id\": 6}, {\"name\": \"HMA\", \"id\": 7}, {\"name\": \"YRG\", \"id\": 8}], \"links\": [{\"weight\": 17149, \"source\": 0, \"target\": 4}, {\"weight\": 2279, \"source\": 0, \"target\": 5}, {\"weight\": 3845, \"source\": 0, \"target\": 1}, {\"weight\": 4219, \"source\": 0, \"target\": 3}, {\"weight\": 14390, \"source\": 0, \"target\": 2}, {\"weight\": 17373, \"source\": 0, \"target\": 6}, {\"weight\": 13096, \"source\": 0, \"target\": 7}, {\"weight\": 6008, \"source\": 0, \"target\": 8}, {\"weight\": 15185, \"source\": 1, \"target\": 4}, {\"weight\": 3610, \"source\": 1, \"target\": 5}, {\"weight\": 6521, \"source\": 1, \"target\": 3}, {\"weight\": 12927, \"source\": 1, \"target\": 2}, {\"weight\": 15789, \"source\": 1, \"target\": 6}, {\"weight\": 11436, \"source\": 1, \"target\": 7}, {\"weight\": 4105, \"source\": 1, \"target\": 8}, {\"weight\": 11611, \"source\": 2, \"target\": 4}, {\"weight\": 16051, \"source\": 2, \"target\": 5}, {\"weight\": 14522, \"source\": 2, \"target\": 3}, {\"weight\": 12077, \"source\": 2, \"target\": 6}, {\"weight\": 14729, \"source\": 2, \"target\": 7}, {\"weight\": 16243, \"source\": 2, \"target\": 8}, {\"weight\": 16033, \"source\": 3, \"target\": 4}, {\"weight\": 3081, \"source\": 3, \"target\": 5}, {\"weight\": 15688, \"source\": 3, \"target\": 6}, {\"weight\": 12732, \"source\": 3, \"target\": 7}, {\"weight\": 7717, \"source\": 3, \"target\": 8}, {\"weight\": 15050, \"source\": 4, \"target\": 5}, {\"weight\": 2394, \"source\": 4, \"target\": 6}, {\"weight\": 5533, \"source\": 4, \"target\": 7}, {\"weight\": 12982, \"source\": 4, \"target\": 8}, {\"weight\": 15356, \"source\": 5, \"target\": 6}, {\"weight\": 11100, \"source\": 5, \"target\": 7}, {\"weight\": 4700, \"source\": 5, \"target\": 8}, {\"weight\": 6127, \"source\": 6, \"target\": 7}, {\"weight\": 13460, \"source\": 6, \"target\": 8}, {\"weight\": 9160, \"source\": 7, \"target\": 8}]}",
"id": 1130,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EJA, IAH, NPL, MAB, SPD, NEV, TCR, HMA, YRG\n- Travel distances (in kilometers) between each pair of airports:\nEJA to SPD: 17149\nEJA to NEV: 2279\nEJA to IAH: 3845\nEJA to MAB: 4219\nEJA to NPL: 14390\nEJA to TCR: 17373\nEJA to HMA: 13096\nEJA to YRG: 6008\nIAH to SPD: 15185\nIAH to NEV: 3610\nIAH to MAB: 6521\nIAH to NPL: 12927\nIAH to TCR: 15789\nIAH to HMA: 11436\nIAH to YRG: 4105\nNPL to SPD: 11611\nNPL to NEV: 16051\nNPL to MAB: 14522\nNPL to TCR: 12077\nNPL to HMA: 14729\nNPL to YRG: 16243\nMAB to SPD: 16033\nMAB to NEV: 3081\nMAB to TCR: 15688\nMAB to HMA: 12732\nMAB to YRG: 7717\nSPD to NEV: 15050\nSPD to TCR: 2394\nSPD to HMA: 5533\nSPD to YRG: 12982\nNEV to TCR: 15356\nNEV to HMA: 11100\nNEV to YRG: 4700\nTCR to HMA: 6127\nTCR to YRG: 13460\nHMA to YRG: 9160\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DME, TWF, PEC, LNY, GHA, GPS, YEG, CUR, PUB\n- Travel distances (in kilometers) between each pair of airports:\nDME to CUR: 10018\nDME to YEG: 8302\nDME to GHA: 3822\nDME to TWF: 9985\nDME to GPS: 13123\nDME to LNY: 13265\nDME to PEC: 10759\nDME to PUB: 9282\nTWF to CUR: 5546\nTWF to YEG: 1683\nTWF to GHA: 10152\nTWF to GPS: 7328\nTWF to LNY: 5054\nTWF to PEC: 2953\nTWF to PUB: 1082\nPEC to CUR: 7869\nPEC to YEG: 2464\nPEC to GHA: 11377\nPEC to GPS: 9706\nPEC to LNY: 5612\nPEC to PUB: 3386\nLNY to CUR: 9595\nLNY to YEG: 5165\nLNY to GHA: 14075\nLNY to GPS: 10903\nLNY to PUB: 5538\nGHA to CUR: 8120\nGHA to YEG: 8920\nGHA to GPS: 11024\nGHA to PUB: 9485\nGPS to CUR: 3171\nGPS to YEG: 8108\nGPS to PUB: 6688\nYEG to CUR: 6069\nYEG to PUB: 1814\nCUR to PUB: 4846\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 44315,
"style": "rule"
}
|
{
"exact_answer": 44315,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DME\", \"id\": 0}, {\"name\": \"TWF\", \"id\": 1}, {\"name\": \"PEC\", \"id\": 2}, {\"name\": \"LNY\", \"id\": 3}, {\"name\": \"GHA\", \"id\": 4}, {\"name\": \"GPS\", \"id\": 5}, {\"name\": \"YEG\", \"id\": 6}, {\"name\": \"CUR\", \"id\": 7}, {\"name\": \"PUB\", \"id\": 8}], \"links\": [{\"weight\": 10018, \"source\": 0, \"target\": 7}, {\"weight\": 8302, \"source\": 0, \"target\": 6}, {\"weight\": 3822, \"source\": 0, \"target\": 4}, {\"weight\": 9985, \"source\": 0, \"target\": 1}, {\"weight\": 13123, \"source\": 0, \"target\": 5}, {\"weight\": 13265, \"source\": 0, \"target\": 3}, {\"weight\": 10759, \"source\": 0, \"target\": 2}, {\"weight\": 9282, \"source\": 0, \"target\": 8}, {\"weight\": 5546, \"source\": 1, \"target\": 7}, {\"weight\": 1683, \"source\": 1, \"target\": 6}, {\"weight\": 10152, \"source\": 1, \"target\": 4}, {\"weight\": 7328, \"source\": 1, \"target\": 5}, {\"weight\": 5054, \"source\": 1, \"target\": 3}, {\"weight\": 2953, \"source\": 1, \"target\": 2}, {\"weight\": 1082, \"source\": 1, \"target\": 8}, {\"weight\": 7869, \"source\": 2, \"target\": 7}, {\"weight\": 2464, \"source\": 2, \"target\": 6}, {\"weight\": 11377, \"source\": 2, \"target\": 4}, {\"weight\": 9706, \"source\": 2, \"target\": 5}, {\"weight\": 5612, \"source\": 2, \"target\": 3}, {\"weight\": 3386, \"source\": 2, \"target\": 8}, {\"weight\": 9595, \"source\": 3, \"target\": 7}, {\"weight\": 5165, \"source\": 3, \"target\": 6}, {\"weight\": 14075, \"source\": 3, \"target\": 4}, {\"weight\": 10903, \"source\": 3, \"target\": 5}, {\"weight\": 5538, \"source\": 3, \"target\": 8}, {\"weight\": 8120, \"source\": 4, \"target\": 7}, {\"weight\": 8920, \"source\": 4, \"target\": 6}, {\"weight\": 11024, \"source\": 4, \"target\": 5}, {\"weight\": 9485, \"source\": 4, \"target\": 8}, {\"weight\": 3171, \"source\": 5, \"target\": 7}, {\"weight\": 8108, \"source\": 5, \"target\": 6}, {\"weight\": 6688, \"source\": 5, \"target\": 8}, {\"weight\": 6069, \"source\": 6, \"target\": 7}, {\"weight\": 1814, \"source\": 6, \"target\": 8}, {\"weight\": 4846, \"source\": 7, \"target\": 8}]}",
"id": 1131,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DME, TWF, PEC, LNY, GHA, GPS, YEG, CUR, PUB\n- Travel distances (in kilometers) between each pair of airports:\nDME to CUR: 10018\nDME to YEG: 8302\nDME to GHA: 3822\nDME to TWF: 9985\nDME to GPS: 13123\nDME to LNY: 13265\nDME to PEC: 10759\nDME to PUB: 9282\nTWF to CUR: 5546\nTWF to YEG: 1683\nTWF to GHA: 10152\nTWF to GPS: 7328\nTWF to LNY: 5054\nTWF to PEC: 2953\nTWF to PUB: 1082\nPEC to CUR: 7869\nPEC to YEG: 2464\nPEC to GHA: 11377\nPEC to GPS: 9706\nPEC to LNY: 5612\nPEC to PUB: 3386\nLNY to CUR: 9595\nLNY to YEG: 5165\nLNY to GHA: 14075\nLNY to GPS: 10903\nLNY to PUB: 5538\nGHA to CUR: 8120\nGHA to YEG: 8920\nGHA to GPS: 11024\nGHA to PUB: 9485\nGPS to CUR: 3171\nGPS to YEG: 8108\nGPS to PUB: 6688\nYEG to CUR: 6069\nYEG to PUB: 1814\nCUR to PUB: 4846\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BNN, SOM, DNH, TCZ, MKK, YNC, SKT, HME, ROO\n- Travel distances (in kilometers) between each pair of airports:\nBNN to DNH: 6393\nBNN to TCZ: 8548\nBNN to ROO: 11620\nBNN to HME: 3779\nBNN to SKT: 5974\nBNN to MKK: 11968\nBNN to SOM: 9471\nBNN to YNC: 7125\nSOM to DNH: 14897\nSOM to TCZ: 17052\nSOM to ROO: 4387\nSOM to HME: 8424\nSOM to SKT: 14082\nSOM to MKK: 10250\nSOM to YNC: 5271\nDNH to TCZ: 2326\nDNH to ROO: 16704\nDNH to HME: 7953\nDNH to SKT: 2601\nDNH to MKK: 10332\nDNH to YNC: 13041\nTCZ to ROO: 18801\nTCZ to HME: 9995\nTCZ to SKT: 3863\nTCZ to MKK: 10396\nTCZ to YNC: 14104\nMKK to ROO: 13511\nMKK to HME: 14219\nMKK to SKT: 12294\nMKK to YNC: 8034\nYNC to ROO: 8870\nYNC to HME: 7874\nYNC to SKT: 12336\nSKT to ROO: 15451\nSKT to HME: 6645\nHME to ROO: 9455\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52223,
"style": "rule"
}
|
{
"exact_answer": 52223,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BNN\", \"id\": 0}, {\"name\": \"SOM\", \"id\": 1}, {\"name\": \"DNH\", \"id\": 2}, {\"name\": \"TCZ\", \"id\": 3}, {\"name\": \"MKK\", \"id\": 4}, {\"name\": \"YNC\", \"id\": 5}, {\"name\": \"SKT\", \"id\": 6}, {\"name\": \"HME\", \"id\": 7}, {\"name\": \"ROO\", \"id\": 8}], \"links\": [{\"weight\": 6393, \"source\": 0, \"target\": 2}, {\"weight\": 8548, \"source\": 0, \"target\": 3}, {\"weight\": 11620, \"source\": 0, \"target\": 8}, {\"weight\": 3779, \"source\": 0, \"target\": 7}, {\"weight\": 5974, \"source\": 0, \"target\": 6}, {\"weight\": 11968, \"source\": 0, \"target\": 4}, {\"weight\": 9471, \"source\": 0, \"target\": 1}, {\"weight\": 7125, \"source\": 0, \"target\": 5}, {\"weight\": 14897, \"source\": 1, \"target\": 2}, {\"weight\": 17052, \"source\": 1, \"target\": 3}, {\"weight\": 4387, \"source\": 1, \"target\": 8}, {\"weight\": 8424, \"source\": 1, \"target\": 7}, {\"weight\": 14082, \"source\": 1, \"target\": 6}, {\"weight\": 10250, \"source\": 1, \"target\": 4}, {\"weight\": 5271, \"source\": 1, \"target\": 5}, {\"weight\": 2326, \"source\": 2, \"target\": 3}, {\"weight\": 16704, \"source\": 2, \"target\": 8}, {\"weight\": 7953, \"source\": 2, \"target\": 7}, {\"weight\": 2601, \"source\": 2, \"target\": 6}, {\"weight\": 10332, \"source\": 2, \"target\": 4}, {\"weight\": 13041, \"source\": 2, \"target\": 5}, {\"weight\": 18801, \"source\": 3, \"target\": 8}, {\"weight\": 9995, \"source\": 3, \"target\": 7}, {\"weight\": 3863, \"source\": 3, \"target\": 6}, {\"weight\": 10396, \"source\": 3, \"target\": 4}, {\"weight\": 14104, \"source\": 3, \"target\": 5}, {\"weight\": 13511, \"source\": 4, \"target\": 8}, {\"weight\": 14219, \"source\": 4, \"target\": 7}, {\"weight\": 12294, \"source\": 4, \"target\": 6}, {\"weight\": 8034, \"source\": 4, \"target\": 5}, {\"weight\": 8870, \"source\": 5, \"target\": 8}, {\"weight\": 7874, \"source\": 5, \"target\": 7}, {\"weight\": 12336, \"source\": 5, \"target\": 6}, {\"weight\": 15451, \"source\": 6, \"target\": 8}, {\"weight\": 6645, \"source\": 6, \"target\": 7}, {\"weight\": 9455, \"source\": 7, \"target\": 8}]}",
"id": 1132,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BNN, SOM, DNH, TCZ, MKK, YNC, SKT, HME, ROO\n- Travel distances (in kilometers) between each pair of airports:\nBNN to DNH: 6393\nBNN to TCZ: 8548\nBNN to ROO: 11620\nBNN to HME: 3779\nBNN to SKT: 5974\nBNN to MKK: 11968\nBNN to SOM: 9471\nBNN to YNC: 7125\nSOM to DNH: 14897\nSOM to TCZ: 17052\nSOM to ROO: 4387\nSOM to HME: 8424\nSOM to SKT: 14082\nSOM to MKK: 10250\nSOM to YNC: 5271\nDNH to TCZ: 2326\nDNH to ROO: 16704\nDNH to HME: 7953\nDNH to SKT: 2601\nDNH to MKK: 10332\nDNH to YNC: 13041\nTCZ to ROO: 18801\nTCZ to HME: 9995\nTCZ to SKT: 3863\nTCZ to MKK: 10396\nTCZ to YNC: 14104\nMKK to ROO: 13511\nMKK to HME: 14219\nMKK to SKT: 12294\nMKK to YNC: 8034\nYNC to ROO: 8870\nYNC to HME: 7874\nYNC to SKT: 12336\nSKT to ROO: 15451\nSKT to HME: 6645\nHME to ROO: 9455\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, SGY, BEB, ITO, DCY, EZE, MYJ, BXU, CUK\n- Travel distances (in kilometers) between each pair of airports:\nTRI to BXU: 14731\nTRI to DCY: 13600\nTRI to EZE: 8324\nTRI to CUK: 2232\nTRI to BEB: 6474\nTRI to MYJ: 11910\nTRI to ITO: 7427\nTRI to SGY: 5441\nSGY to BXU: 12746\nSGY to DCY: 12224\nSGY to EZE: 12775\nSGY to CUK: 6195\nSGY to BEB: 9000\nSGY to MYJ: 9974\nSGY to ITO: 5866\nBEB to BXU: 11708\nBEB to DCY: 8973\nBEB to EZE: 11816\nBEB to CUK: 8326\nBEB to MYJ: 9695\nBEB to ITO: 11825\nITO to BXU: 9655\nITO to DCY: 10303\nITO to EZE: 13809\nITO to CUK: 7475\nITO to MYJ: 7204\nDCY to BXU: 3681\nDCY to EZE: 19089\nDCY to CUK: 15105\nDCY to MYJ: 3167\nEZE to BXU: 18778\nEZE to CUK: 6721\nEZE to MYJ: 19315\nMYJ to BXU: 3503\nMYJ to CUK: 12991\nBXU to CUK: 15763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55437,
"style": "rule"
}
|
{
"exact_answer": 55437,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRI\", \"id\": 0}, {\"name\": \"SGY\", \"id\": 1}, {\"name\": \"BEB\", \"id\": 2}, {\"name\": \"ITO\", \"id\": 3}, {\"name\": \"DCY\", \"id\": 4}, {\"name\": \"EZE\", \"id\": 5}, {\"name\": \"MYJ\", \"id\": 6}, {\"name\": \"BXU\", \"id\": 7}, {\"name\": \"CUK\", \"id\": 8}], \"links\": [{\"weight\": 14731, \"source\": 0, \"target\": 7}, {\"weight\": 13600, \"source\": 0, \"target\": 4}, {\"weight\": 8324, \"source\": 0, \"target\": 5}, {\"weight\": 2232, \"source\": 0, \"target\": 8}, {\"weight\": 6474, \"source\": 0, \"target\": 2}, {\"weight\": 11910, \"source\": 0, \"target\": 6}, {\"weight\": 7427, \"source\": 0, \"target\": 3}, {\"weight\": 5441, \"source\": 0, \"target\": 1}, {\"weight\": 12746, \"source\": 1, \"target\": 7}, {\"weight\": 12224, \"source\": 1, \"target\": 4}, {\"weight\": 12775, \"source\": 1, \"target\": 5}, {\"weight\": 6195, \"source\": 1, \"target\": 8}, {\"weight\": 9000, \"source\": 1, \"target\": 2}, {\"weight\": 9974, \"source\": 1, \"target\": 6}, {\"weight\": 5866, \"source\": 1, \"target\": 3}, {\"weight\": 11708, \"source\": 2, \"target\": 7}, {\"weight\": 8973, \"source\": 2, \"target\": 4}, {\"weight\": 11816, \"source\": 2, \"target\": 5}, {\"weight\": 8326, \"source\": 2, \"target\": 8}, {\"weight\": 9695, \"source\": 2, \"target\": 6}, {\"weight\": 11825, \"source\": 2, \"target\": 3}, {\"weight\": 9655, \"source\": 3, \"target\": 7}, {\"weight\": 10303, \"source\": 3, \"target\": 4}, {\"weight\": 13809, \"source\": 3, \"target\": 5}, {\"weight\": 7475, \"source\": 3, \"target\": 8}, {\"weight\": 7204, \"source\": 3, \"target\": 6}, {\"weight\": 3681, \"source\": 4, \"target\": 7}, {\"weight\": 19089, \"source\": 4, \"target\": 5}, {\"weight\": 15105, \"source\": 4, \"target\": 8}, {\"weight\": 3167, \"source\": 4, \"target\": 6}, {\"weight\": 18778, \"source\": 5, \"target\": 7}, {\"weight\": 6721, \"source\": 5, \"target\": 8}, {\"weight\": 19315, \"source\": 5, \"target\": 6}, {\"weight\": 3503, \"source\": 6, \"target\": 7}, {\"weight\": 12991, \"source\": 6, \"target\": 8}, {\"weight\": 15763, \"source\": 7, \"target\": 8}]}",
"id": 1133,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, SGY, BEB, ITO, DCY, EZE, MYJ, BXU, CUK\n- Travel distances (in kilometers) between each pair of airports:\nTRI to BXU: 14731\nTRI to DCY: 13600\nTRI to EZE: 8324\nTRI to CUK: 2232\nTRI to BEB: 6474\nTRI to MYJ: 11910\nTRI to ITO: 7427\nTRI to SGY: 5441\nSGY to BXU: 12746\nSGY to DCY: 12224\nSGY to EZE: 12775\nSGY to CUK: 6195\nSGY to BEB: 9000\nSGY to MYJ: 9974\nSGY to ITO: 5866\nBEB to BXU: 11708\nBEB to DCY: 8973\nBEB to EZE: 11816\nBEB to CUK: 8326\nBEB to MYJ: 9695\nBEB to ITO: 11825\nITO to BXU: 9655\nITO to DCY: 10303\nITO to EZE: 13809\nITO to CUK: 7475\nITO to MYJ: 7204\nDCY to BXU: 3681\nDCY to EZE: 19089\nDCY to CUK: 15105\nDCY to MYJ: 3167\nEZE to BXU: 18778\nEZE to CUK: 6721\nEZE to MYJ: 19315\nMYJ to BXU: 3503\nMYJ to CUK: 12991\nBXU to CUK: 15763\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, HID, UIP, STV, ILY, ZUM, VAN, LAN, YXH\n- Travel distances (in kilometers) between each pair of airports:\nMLY to LAN: 5322\nMLY to UIP: 11151\nMLY to YXH: 3580\nMLY to STV: 16018\nMLY to ILY: 9866\nMLY to ZUM: 7278\nMLY to VAN: 13811\nMLY to HID: 14761\nHID to LAN: 16805\nHID to UIP: 16468\nHID to YXH: 14882\nHID to STV: 9954\nHID to ILY: 16374\nHID to ZUM: 18643\nHID to VAN: 14599\nUIP to LAN: 6985\nUIP to YXH: 8133\nUIP to STV: 7720\nUIP to ILY: 1523\nUIP to ZUM: 5650\nUIP to VAN: 3988\nSTV to LAN: 13065\nSTV to YXH: 14033\nSTV to ILY: 7858\nSTV to ZUM: 12230\nSTV to VAN: 5182\nILY to LAN: 5860\nILY to YXH: 6853\nILY to ZUM: 5462\nILY to VAN: 4277\nZUM to LAN: 2131\nZUM to YXH: 4429\nZUM to VAN: 8550\nVAN to LAN: 9886\nVAN to YXH: 10835\nLAN to YXH: 2680\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49261,
"style": "rule"
}
|
{
"exact_answer": 49261,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MLY\", \"id\": 0}, {\"name\": \"HID\", \"id\": 1}, {\"name\": \"UIP\", \"id\": 2}, {\"name\": \"STV\", \"id\": 3}, {\"name\": \"ILY\", \"id\": 4}, {\"name\": \"ZUM\", \"id\": 5}, {\"name\": \"VAN\", \"id\": 6}, {\"name\": \"LAN\", \"id\": 7}, {\"name\": \"YXH\", \"id\": 8}], \"links\": [{\"weight\": 5322, \"source\": 0, \"target\": 7}, {\"weight\": 11151, \"source\": 0, \"target\": 2}, {\"weight\": 3580, \"source\": 0, \"target\": 8}, {\"weight\": 16018, \"source\": 0, \"target\": 3}, {\"weight\": 9866, \"source\": 0, \"target\": 4}, {\"weight\": 7278, \"source\": 0, \"target\": 5}, {\"weight\": 13811, \"source\": 0, \"target\": 6}, {\"weight\": 14761, \"source\": 0, \"target\": 1}, {\"weight\": 16805, \"source\": 1, \"target\": 7}, {\"weight\": 16468, \"source\": 1, \"target\": 2}, {\"weight\": 14882, \"source\": 1, \"target\": 8}, {\"weight\": 9954, \"source\": 1, \"target\": 3}, {\"weight\": 16374, \"source\": 1, \"target\": 4}, {\"weight\": 18643, \"source\": 1, \"target\": 5}, {\"weight\": 14599, \"source\": 1, \"target\": 6}, {\"weight\": 6985, \"source\": 2, \"target\": 7}, {\"weight\": 8133, \"source\": 2, \"target\": 8}, {\"weight\": 7720, \"source\": 2, \"target\": 3}, {\"weight\": 1523, \"source\": 2, \"target\": 4}, {\"weight\": 5650, \"source\": 2, \"target\": 5}, {\"weight\": 3988, \"source\": 2, \"target\": 6}, {\"weight\": 13065, \"source\": 3, \"target\": 7}, {\"weight\": 14033, \"source\": 3, \"target\": 8}, {\"weight\": 7858, \"source\": 3, \"target\": 4}, {\"weight\": 12230, \"source\": 3, \"target\": 5}, {\"weight\": 5182, \"source\": 3, \"target\": 6}, {\"weight\": 5860, \"source\": 4, \"target\": 7}, {\"weight\": 6853, \"source\": 4, \"target\": 8}, {\"weight\": 5462, \"source\": 4, \"target\": 5}, {\"weight\": 4277, \"source\": 4, \"target\": 6}, {\"weight\": 2131, \"source\": 5, \"target\": 7}, {\"weight\": 4429, \"source\": 5, \"target\": 8}, {\"weight\": 8550, \"source\": 5, \"target\": 6}, {\"weight\": 9886, \"source\": 6, \"target\": 7}, {\"weight\": 10835, \"source\": 6, \"target\": 8}, {\"weight\": 2680, \"source\": 7, \"target\": 8}]}",
"id": 1134,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MLY, HID, UIP, STV, ILY, ZUM, VAN, LAN, YXH\n- Travel distances (in kilometers) between each pair of airports:\nMLY to LAN: 5322\nMLY to UIP: 11151\nMLY to YXH: 3580\nMLY to STV: 16018\nMLY to ILY: 9866\nMLY to ZUM: 7278\nMLY to VAN: 13811\nMLY to HID: 14761\nHID to LAN: 16805\nHID to UIP: 16468\nHID to YXH: 14882\nHID to STV: 9954\nHID to ILY: 16374\nHID to ZUM: 18643\nHID to VAN: 14599\nUIP to LAN: 6985\nUIP to YXH: 8133\nUIP to STV: 7720\nUIP to ILY: 1523\nUIP to ZUM: 5650\nUIP to VAN: 3988\nSTV to LAN: 13065\nSTV to YXH: 14033\nSTV to ILY: 7858\nSTV to ZUM: 12230\nSTV to VAN: 5182\nILY to LAN: 5860\nILY to YXH: 6853\nILY to ZUM: 5462\nILY to VAN: 4277\nZUM to LAN: 2131\nZUM to YXH: 4429\nZUM to VAN: 8550\nVAN to LAN: 9886\nVAN to YXH: 10835\nLAN to YXH: 2680\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLW, SFG, BLR, SRP, ENA, HRI, GIS, BIK, NIB\n- Travel distances (in kilometers) between each pair of airports:\nPLW to SFG: 18784\nPLW to NIB: 15775\nPLW to BLR: 4960\nPLW to ENA: 15455\nPLW to SRP: 11999\nPLW to HRI: 4718\nPLW to BIK: 2349\nPLW to GIS: 8211\nSFG to NIB: 8595\nSFG to BLR: 14644\nSFG to ENA: 8275\nSFG to SRP: 7775\nSFG to HRI: 15454\nSFG to BIK: 20776\nSFG to GIS: 16139\nBLR to NIB: 16578\nBLR to ENA: 16258\nBLR to SRP: 7917\nBLR to HRI: 855\nBLR to BIK: 6928\nBLR to GIS: 11914\nSRP to NIB: 10243\nSRP to ENA: 9923\nSRP to HRI: 8703\nSRP to BIK: 13991\nSRP to GIS: 18084\nENA to NIB: 510\nENA to HRI: 16255\nENA to BIK: 17447\nENA to GIS: 11991\nHRI to NIB: 16575\nHRI to BIK: 6674\nHRI to GIS: 11498\nGIS to NIB: 12311\nGIS to BIK: 9636\nBIK to NIB: 17767\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54346,
"style": "rule"
}
|
{
"exact_answer": 54346,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PLW\", \"id\": 0}, {\"name\": \"SFG\", \"id\": 1}, {\"name\": \"BLR\", \"id\": 2}, {\"name\": \"SRP\", \"id\": 3}, {\"name\": \"ENA\", \"id\": 4}, {\"name\": \"HRI\", \"id\": 5}, {\"name\": \"GIS\", \"id\": 6}, {\"name\": \"BIK\", \"id\": 7}, {\"name\": \"NIB\", \"id\": 8}], \"links\": [{\"weight\": 18784, \"source\": 0, \"target\": 1}, {\"weight\": 15775, \"source\": 0, \"target\": 8}, {\"weight\": 4960, \"source\": 0, \"target\": 2}, {\"weight\": 15455, \"source\": 0, \"target\": 4}, {\"weight\": 11999, \"source\": 0, \"target\": 3}, {\"weight\": 4718, \"source\": 0, \"target\": 5}, {\"weight\": 2349, \"source\": 0, \"target\": 7}, {\"weight\": 8211, \"source\": 0, \"target\": 6}, {\"weight\": 8595, \"source\": 1, \"target\": 8}, {\"weight\": 14644, \"source\": 1, \"target\": 2}, {\"weight\": 8275, \"source\": 1, \"target\": 4}, {\"weight\": 7775, \"source\": 1, \"target\": 3}, {\"weight\": 15454, \"source\": 1, \"target\": 5}, {\"weight\": 20776, \"source\": 1, \"target\": 7}, {\"weight\": 16139, \"source\": 1, \"target\": 6}, {\"weight\": 16578, \"source\": 2, \"target\": 8}, {\"weight\": 16258, \"source\": 2, \"target\": 4}, {\"weight\": 7917, \"source\": 2, \"target\": 3}, {\"weight\": 855, \"source\": 2, \"target\": 5}, {\"weight\": 6928, \"source\": 2, \"target\": 7}, {\"weight\": 11914, \"source\": 2, \"target\": 6}, {\"weight\": 10243, \"source\": 3, \"target\": 8}, {\"weight\": 9923, \"source\": 3, \"target\": 4}, {\"weight\": 8703, \"source\": 3, \"target\": 5}, {\"weight\": 13991, \"source\": 3, \"target\": 7}, {\"weight\": 18084, \"source\": 3, \"target\": 6}, {\"weight\": 510, \"source\": 4, \"target\": 8}, {\"weight\": 16255, \"source\": 4, \"target\": 5}, {\"weight\": 17447, \"source\": 4, \"target\": 7}, {\"weight\": 11991, \"source\": 4, \"target\": 6}, {\"weight\": 16575, \"source\": 5, \"target\": 8}, {\"weight\": 6674, \"source\": 5, \"target\": 7}, {\"weight\": 11498, \"source\": 5, \"target\": 6}, {\"weight\": 12311, \"source\": 6, \"target\": 8}, {\"weight\": 9636, \"source\": 6, \"target\": 7}, {\"weight\": 17767, \"source\": 7, \"target\": 8}]}",
"id": 1135,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLW, SFG, BLR, SRP, ENA, HRI, GIS, BIK, NIB\n- Travel distances (in kilometers) between each pair of airports:\nPLW to SFG: 18784\nPLW to NIB: 15775\nPLW to BLR: 4960\nPLW to ENA: 15455\nPLW to SRP: 11999\nPLW to HRI: 4718\nPLW to BIK: 2349\nPLW to GIS: 8211\nSFG to NIB: 8595\nSFG to BLR: 14644\nSFG to ENA: 8275\nSFG to SRP: 7775\nSFG to HRI: 15454\nSFG to BIK: 20776\nSFG to GIS: 16139\nBLR to NIB: 16578\nBLR to ENA: 16258\nBLR to SRP: 7917\nBLR to HRI: 855\nBLR to BIK: 6928\nBLR to GIS: 11914\nSRP to NIB: 10243\nSRP to ENA: 9923\nSRP to HRI: 8703\nSRP to BIK: 13991\nSRP to GIS: 18084\nENA to NIB: 510\nENA to HRI: 16255\nENA to BIK: 17447\nENA to GIS: 11991\nHRI to NIB: 16575\nHRI to BIK: 6674\nHRI to GIS: 11498\nGIS to NIB: 12311\nGIS to BIK: 9636\nBIK to NIB: 17767\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGC, UPK, CZH, PNI, SYY, KMS, TGH, TPA, PKC\n- Travel distances (in kilometers) between each pair of airports:\nTGC to TPA: 16712\nTGC to KMS: 12947\nTGC to CZH: 17369\nTGC to SYY: 11845\nTGC to UPK: 14898\nTGC to TGH: 7877\nTGC to PKC: 7600\nTGC to PNI: 6296\nUPK to TPA: 8251\nUPK to KMS: 9591\nUPK to CZH: 9676\nUPK to SYY: 4100\nUPK to TGH: 18717\nUPK to PKC: 12464\nUPK to PNI: 16888\nCZH to TPA: 1686\nCZH to KMS: 11465\nCZH to SYY: 8443\nCZH to TGH: 13574\nCZH to PKC: 15532\nCZH to PNI: 12897\nPNI to TPA: 12702\nPNI to KMS: 17535\nPNI to SYY: 13842\nPNI to TGH: 5400\nPNI to PKC: 7425\nSYY to TPA: 7072\nSYY to KMS: 6100\nSYY to TGH: 17293\nSYY to PKC: 9415\nKMS to TPA: 10039\nKMS to TGH: 18471\nKMS to PKC: 13549\nTGH to TPA: 13414\nTGH to PKC: 10782\nTPA to PKC: 14841\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66556,
"style": "rule"
}
|
{
"exact_answer": 66556,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGC\", \"id\": 0}, {\"name\": \"UPK\", \"id\": 1}, {\"name\": \"CZH\", \"id\": 2}, {\"name\": \"PNI\", \"id\": 3}, {\"name\": \"SYY\", \"id\": 4}, {\"name\": \"KMS\", \"id\": 5}, {\"name\": \"TGH\", \"id\": 6}, {\"name\": \"TPA\", \"id\": 7}, {\"name\": \"PKC\", \"id\": 8}], \"links\": [{\"weight\": 16712, \"source\": 0, \"target\": 7}, {\"weight\": 12947, \"source\": 0, \"target\": 5}, {\"weight\": 17369, \"source\": 0, \"target\": 2}, {\"weight\": 11845, \"source\": 0, \"target\": 4}, {\"weight\": 14898, \"source\": 0, \"target\": 1}, {\"weight\": 7877, \"source\": 0, \"target\": 6}, {\"weight\": 7600, \"source\": 0, \"target\": 8}, {\"weight\": 6296, \"source\": 0, \"target\": 3}, {\"weight\": 8251, \"source\": 1, \"target\": 7}, {\"weight\": 9591, \"source\": 1, \"target\": 5}, {\"weight\": 9676, \"source\": 1, \"target\": 2}, {\"weight\": 4100, \"source\": 1, \"target\": 4}, {\"weight\": 18717, \"source\": 1, \"target\": 6}, {\"weight\": 12464, \"source\": 1, \"target\": 8}, {\"weight\": 16888, \"source\": 1, \"target\": 3}, {\"weight\": 1686, \"source\": 2, \"target\": 7}, {\"weight\": 11465, \"source\": 2, \"target\": 5}, {\"weight\": 8443, \"source\": 2, \"target\": 4}, {\"weight\": 13574, \"source\": 2, \"target\": 6}, {\"weight\": 15532, \"source\": 2, \"target\": 8}, {\"weight\": 12897, \"source\": 2, \"target\": 3}, {\"weight\": 12702, \"source\": 3, \"target\": 7}, {\"weight\": 17535, \"source\": 3, \"target\": 5}, {\"weight\": 13842, \"source\": 3, \"target\": 4}, {\"weight\": 5400, \"source\": 3, \"target\": 6}, {\"weight\": 7425, \"source\": 3, \"target\": 8}, {\"weight\": 7072, \"source\": 4, \"target\": 7}, {\"weight\": 6100, \"source\": 4, \"target\": 5}, {\"weight\": 17293, \"source\": 4, \"target\": 6}, {\"weight\": 9415, \"source\": 4, \"target\": 8}, {\"weight\": 10039, \"source\": 5, \"target\": 7}, {\"weight\": 18471, \"source\": 5, \"target\": 6}, {\"weight\": 13549, \"source\": 5, \"target\": 8}, {\"weight\": 13414, \"source\": 6, \"target\": 7}, {\"weight\": 10782, \"source\": 6, \"target\": 8}, {\"weight\": 14841, \"source\": 7, \"target\": 8}]}",
"id": 1136,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TGC, UPK, CZH, PNI, SYY, KMS, TGH, TPA, PKC\n- Travel distances (in kilometers) between each pair of airports:\nTGC to TPA: 16712\nTGC to KMS: 12947\nTGC to CZH: 17369\nTGC to SYY: 11845\nTGC to UPK: 14898\nTGC to TGH: 7877\nTGC to PKC: 7600\nTGC to PNI: 6296\nUPK to TPA: 8251\nUPK to KMS: 9591\nUPK to CZH: 9676\nUPK to SYY: 4100\nUPK to TGH: 18717\nUPK to PKC: 12464\nUPK to PNI: 16888\nCZH to TPA: 1686\nCZH to KMS: 11465\nCZH to SYY: 8443\nCZH to TGH: 13574\nCZH to PKC: 15532\nCZH to PNI: 12897\nPNI to TPA: 12702\nPNI to KMS: 17535\nPNI to SYY: 13842\nPNI to TGH: 5400\nPNI to PKC: 7425\nSYY to TPA: 7072\nSYY to KMS: 6100\nSYY to TGH: 17293\nSYY to PKC: 9415\nKMS to TPA: 10039\nKMS to TGH: 18471\nKMS to PKC: 13549\nTGH to TPA: 13414\nTGH to PKC: 10782\nTPA to PKC: 14841\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, TTN, JAV, FEN, RET, NBX, SXO, RGA, AQG\n- Travel distances (in kilometers) between each pair of airports:\nHSV to RGA: 10393\nHSV to FEN: 7626\nHSV to AQG: 12440\nHSV to TTN: 1313\nHSV to JAV: 7368\nHSV to NBX: 18156\nHSV to SXO: 7798\nHSV to RET: 7590\nTTN to RGA: 10918\nTTN to FEN: 8038\nTTN to AQG: 12448\nTTN to JAV: 7046\nTTN to NBX: 18214\nTTN to SXO: 8365\nTTN to RET: 7268\nJAV to RGA: 16840\nJAV to FEN: 11285\nJAV to AQG: 11737\nJAV to NBX: 17204\nJAV to SXO: 13368\nJAV to RET: 4146\nFEN to RGA: 6599\nFEN to AQG: 16645\nFEN to NBX: 21236\nFEN to SXO: 2986\nFEN to RET: 9630\nRET to RGA: 15447\nRET to AQG: 8835\nRET to NBX: 14271\nRET to SXO: 11713\nNBX to RGA: 20939\nNBX to AQG: 5997\nNBX to SXO: 21427\nSXO to RGA: 5507\nSXO to AQG: 18720\nRGA to AQG: 22000\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64395,
"style": "rule"
}
|
{
"exact_answer": 64395,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HSV\", \"id\": 0}, {\"name\": \"TTN\", \"id\": 1}, {\"name\": \"JAV\", \"id\": 2}, {\"name\": \"FEN\", \"id\": 3}, {\"name\": \"RET\", \"id\": 4}, {\"name\": \"NBX\", \"id\": 5}, {\"name\": \"SXO\", \"id\": 6}, {\"name\": \"RGA\", \"id\": 7}, {\"name\": \"AQG\", \"id\": 8}], \"links\": [{\"weight\": 10393, \"source\": 0, \"target\": 7}, {\"weight\": 7626, \"source\": 0, \"target\": 3}, {\"weight\": 12440, \"source\": 0, \"target\": 8}, {\"weight\": 1313, \"source\": 0, \"target\": 1}, {\"weight\": 7368, \"source\": 0, \"target\": 2}, {\"weight\": 18156, \"source\": 0, \"target\": 5}, {\"weight\": 7798, \"source\": 0, \"target\": 6}, {\"weight\": 7590, \"source\": 0, \"target\": 4}, {\"weight\": 10918, \"source\": 1, \"target\": 7}, {\"weight\": 8038, \"source\": 1, \"target\": 3}, {\"weight\": 12448, \"source\": 1, \"target\": 8}, {\"weight\": 7046, \"source\": 1, \"target\": 2}, {\"weight\": 18214, \"source\": 1, \"target\": 5}, {\"weight\": 8365, \"source\": 1, \"target\": 6}, {\"weight\": 7268, \"source\": 1, \"target\": 4}, {\"weight\": 16840, \"source\": 2, \"target\": 7}, {\"weight\": 11285, \"source\": 2, \"target\": 3}, {\"weight\": 11737, \"source\": 2, \"target\": 8}, {\"weight\": 17204, \"source\": 2, \"target\": 5}, {\"weight\": 13368, \"source\": 2, \"target\": 6}, {\"weight\": 4146, \"source\": 2, \"target\": 4}, {\"weight\": 6599, \"source\": 3, \"target\": 7}, {\"weight\": 16645, \"source\": 3, \"target\": 8}, {\"weight\": 21236, \"source\": 3, \"target\": 5}, {\"weight\": 2986, \"source\": 3, \"target\": 6}, {\"weight\": 9630, \"source\": 3, \"target\": 4}, {\"weight\": 15447, \"source\": 4, \"target\": 7}, {\"weight\": 8835, \"source\": 4, \"target\": 8}, {\"weight\": 14271, \"source\": 4, \"target\": 5}, {\"weight\": 11713, \"source\": 4, \"target\": 6}, {\"weight\": 20939, \"source\": 5, \"target\": 7}, {\"weight\": 5997, \"source\": 5, \"target\": 8}, {\"weight\": 21427, \"source\": 5, \"target\": 6}, {\"weight\": 5507, \"source\": 6, \"target\": 7}, {\"weight\": 18720, \"source\": 6, \"target\": 8}, {\"weight\": 22000, \"source\": 7, \"target\": 8}]}",
"id": 1137,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, TTN, JAV, FEN, RET, NBX, SXO, RGA, AQG\n- Travel distances (in kilometers) between each pair of airports:\nHSV to RGA: 10393\nHSV to FEN: 7626\nHSV to AQG: 12440\nHSV to TTN: 1313\nHSV to JAV: 7368\nHSV to NBX: 18156\nHSV to SXO: 7798\nHSV to RET: 7590\nTTN to RGA: 10918\nTTN to FEN: 8038\nTTN to AQG: 12448\nTTN to JAV: 7046\nTTN to NBX: 18214\nTTN to SXO: 8365\nTTN to RET: 7268\nJAV to RGA: 16840\nJAV to FEN: 11285\nJAV to AQG: 11737\nJAV to NBX: 17204\nJAV to SXO: 13368\nJAV to RET: 4146\nFEN to RGA: 6599\nFEN to AQG: 16645\nFEN to NBX: 21236\nFEN to SXO: 2986\nFEN to RET: 9630\nRET to RGA: 15447\nRET to AQG: 8835\nRET to NBX: 14271\nRET to SXO: 11713\nNBX to RGA: 20939\nNBX to AQG: 5997\nNBX to SXO: 21427\nSXO to RGA: 5507\nSXO to AQG: 18720\nRGA to AQG: 22000\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELM, REX, GTF, GST, HKN, CDJ, CXJ, YTZ, TOF\n- Travel distances (in kilometers) between each pair of airports:\nELM to REX: 3937\nELM to YTZ: 957\nELM to CXJ: 8766\nELM to GTF: 2802\nELM to HKN: 16445\nELM to GST: 5148\nELM to CDJ: 6527\nELM to TOF: 10808\nREX to YTZ: 4010\nREX to CXJ: 8706\nREX to GTF: 3943\nREX to HKN: 15749\nREX to GST: 5780\nREX to CDJ: 7240\nREX to TOF: 14165\nGTF to YTZ: 2695\nGTF to CXJ: 10816\nGTF to HKN: 14117\nGTF to GST: 2347\nGTF to CDJ: 9053\nGTF to TOF: 12454\nGST to YTZ: 4971\nGST to CXJ: 12970\nGST to HKN: 14514\nGST to CDJ: 11293\nGST to TOF: 13159\nHKN to YTZ: 16306\nHKN to CXJ: 17539\nHKN to CDJ: 19634\nHKN to TOF: 10321\nCDJ to YTZ: 6797\nCDJ to CXJ: 3102\nCDJ to TOF: 14102\nCXJ to YTZ: 9006\nCXJ to TOF: 15489\nYTZ to TOF: 10785\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60602,
"style": "rule"
}
|
{
"exact_answer": 60602,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ELM\", \"id\": 0}, {\"name\": \"REX\", \"id\": 1}, {\"name\": \"GTF\", \"id\": 2}, {\"name\": \"GST\", \"id\": 3}, {\"name\": \"HKN\", \"id\": 4}, {\"name\": \"CDJ\", \"id\": 5}, {\"name\": \"CXJ\", \"id\": 6}, {\"name\": \"YTZ\", \"id\": 7}, {\"name\": \"TOF\", \"id\": 8}], \"links\": [{\"weight\": 3937, \"source\": 0, \"target\": 1}, {\"weight\": 957, \"source\": 0, \"target\": 7}, {\"weight\": 8766, \"source\": 0, \"target\": 6}, {\"weight\": 2802, \"source\": 0, \"target\": 2}, {\"weight\": 16445, \"source\": 0, \"target\": 4}, {\"weight\": 5148, \"source\": 0, \"target\": 3}, {\"weight\": 6527, \"source\": 0, \"target\": 5}, {\"weight\": 10808, \"source\": 0, \"target\": 8}, {\"weight\": 4010, \"source\": 1, \"target\": 7}, {\"weight\": 8706, \"source\": 1, \"target\": 6}, {\"weight\": 3943, \"source\": 1, \"target\": 2}, {\"weight\": 15749, \"source\": 1, \"target\": 4}, {\"weight\": 5780, \"source\": 1, \"target\": 3}, {\"weight\": 7240, \"source\": 1, \"target\": 5}, {\"weight\": 14165, \"source\": 1, \"target\": 8}, {\"weight\": 2695, \"source\": 2, \"target\": 7}, {\"weight\": 10816, \"source\": 2, \"target\": 6}, {\"weight\": 14117, \"source\": 2, \"target\": 4}, {\"weight\": 2347, \"source\": 2, \"target\": 3}, {\"weight\": 9053, \"source\": 2, \"target\": 5}, {\"weight\": 12454, \"source\": 2, \"target\": 8}, {\"weight\": 4971, \"source\": 3, \"target\": 7}, {\"weight\": 12970, \"source\": 3, \"target\": 6}, {\"weight\": 14514, \"source\": 3, \"target\": 4}, {\"weight\": 11293, \"source\": 3, \"target\": 5}, {\"weight\": 13159, \"source\": 3, \"target\": 8}, {\"weight\": 16306, \"source\": 4, \"target\": 7}, {\"weight\": 17539, \"source\": 4, \"target\": 6}, {\"weight\": 19634, \"source\": 4, \"target\": 5}, {\"weight\": 10321, \"source\": 4, \"target\": 8}, {\"weight\": 6797, \"source\": 5, \"target\": 7}, {\"weight\": 3102, \"source\": 5, \"target\": 6}, {\"weight\": 14102, \"source\": 5, \"target\": 8}, {\"weight\": 9006, \"source\": 6, \"target\": 7}, {\"weight\": 15489, \"source\": 6, \"target\": 8}, {\"weight\": 10785, \"source\": 7, \"target\": 8}]}",
"id": 1138,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ELM, REX, GTF, GST, HKN, CDJ, CXJ, YTZ, TOF\n- Travel distances (in kilometers) between each pair of airports:\nELM to REX: 3937\nELM to YTZ: 957\nELM to CXJ: 8766\nELM to GTF: 2802\nELM to HKN: 16445\nELM to GST: 5148\nELM to CDJ: 6527\nELM to TOF: 10808\nREX to YTZ: 4010\nREX to CXJ: 8706\nREX to GTF: 3943\nREX to HKN: 15749\nREX to GST: 5780\nREX to CDJ: 7240\nREX to TOF: 14165\nGTF to YTZ: 2695\nGTF to CXJ: 10816\nGTF to HKN: 14117\nGTF to GST: 2347\nGTF to CDJ: 9053\nGTF to TOF: 12454\nGST to YTZ: 4971\nGST to CXJ: 12970\nGST to HKN: 14514\nGST to CDJ: 11293\nGST to TOF: 13159\nHKN to YTZ: 16306\nHKN to CXJ: 17539\nHKN to CDJ: 19634\nHKN to TOF: 10321\nCDJ to YTZ: 6797\nCDJ to CXJ: 3102\nCDJ to TOF: 14102\nCXJ to YTZ: 9006\nCXJ to TOF: 15489\nYTZ to TOF: 10785\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CFR, PNZ, HKN, MSW, ULP, CAI, YVM, LAE\n- Travel distances (in kilometers) between each pair of airports:\nMSR to CAI: 2412\nMSR to YVM: 10274\nMSR to CFR: 3562\nMSR to PNZ: 10834\nMSR to LAE: 13948\nMSR to HKN: 14189\nMSR to ULP: 14835\nMSR to MSW: 3679\nCFR to CAI: 3425\nCFR to YVM: 7244\nCFR to PNZ: 8141\nCFR to LAE: 15214\nCFR to HKN: 15455\nCFR to ULP: 16584\nCFR to MSW: 5308\nPNZ to CAI: 10205\nPNZ to YVM: 10813\nPNZ to LAE: 18665\nPNZ to HKN: 18906\nPNZ to ULP: 17134\nPNZ to MSW: 10807\nHKN to LAE: 424\nHKN to CAI: 13744\nHKN to YVM: 17627\nHKN to ULP: 3319\nHKN to MSW: 13119\nMSW to CAI: 1883\nMSW to YVM: 12081\nMSW to LAE: 12878\nMSW to ULP: 13388\nULP to CAI: 14026\nULP to YVM: 17400\nULP to LAE: 3078\nCAI to YVM: 10198\nCAI to LAE: 13503\nYVM to LAE: 17386\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59669,
"style": "rule"
}
|
{
"exact_answer": 59669,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MSR\", \"id\": 0}, {\"name\": \"CFR\", \"id\": 1}, {\"name\": \"PNZ\", \"id\": 2}, {\"name\": \"HKN\", \"id\": 3}, {\"name\": \"MSW\", \"id\": 4}, {\"name\": \"ULP\", \"id\": 5}, {\"name\": \"CAI\", \"id\": 6}, {\"name\": \"YVM\", \"id\": 7}, {\"name\": \"LAE\", \"id\": 8}], \"links\": [{\"weight\": 2412, \"source\": 0, \"target\": 6}, {\"weight\": 10274, \"source\": 0, \"target\": 7}, {\"weight\": 3562, \"source\": 0, \"target\": 1}, {\"weight\": 10834, \"source\": 0, \"target\": 2}, {\"weight\": 13948, \"source\": 0, \"target\": 8}, {\"weight\": 14189, \"source\": 0, \"target\": 3}, {\"weight\": 14835, \"source\": 0, \"target\": 5}, {\"weight\": 3679, \"source\": 0, \"target\": 4}, {\"weight\": 3425, \"source\": 1, \"target\": 6}, {\"weight\": 7244, \"source\": 1, \"target\": 7}, {\"weight\": 8141, \"source\": 1, \"target\": 2}, {\"weight\": 15214, \"source\": 1, \"target\": 8}, {\"weight\": 15455, \"source\": 1, \"target\": 3}, {\"weight\": 16584, \"source\": 1, \"target\": 5}, {\"weight\": 5308, \"source\": 1, \"target\": 4}, {\"weight\": 10205, \"source\": 2, \"target\": 6}, {\"weight\": 10813, \"source\": 2, \"target\": 7}, {\"weight\": 18665, \"source\": 2, \"target\": 8}, {\"weight\": 18906, \"source\": 2, \"target\": 3}, {\"weight\": 17134, \"source\": 2, \"target\": 5}, {\"weight\": 10807, \"source\": 2, \"target\": 4}, {\"weight\": 424, \"source\": 3, \"target\": 8}, {\"weight\": 13744, \"source\": 3, \"target\": 6}, {\"weight\": 17627, \"source\": 3, \"target\": 7}, {\"weight\": 3319, \"source\": 3, \"target\": 5}, {\"weight\": 13119, \"source\": 3, \"target\": 4}, {\"weight\": 1883, \"source\": 4, \"target\": 6}, {\"weight\": 12081, \"source\": 4, \"target\": 7}, {\"weight\": 12878, \"source\": 4, \"target\": 8}, {\"weight\": 13388, \"source\": 4, \"target\": 5}, {\"weight\": 14026, \"source\": 5, \"target\": 6}, {\"weight\": 17400, \"source\": 5, \"target\": 7}, {\"weight\": 3078, \"source\": 5, \"target\": 8}, {\"weight\": 10198, \"source\": 6, \"target\": 7}, {\"weight\": 13503, \"source\": 6, \"target\": 8}, {\"weight\": 17386, \"source\": 7, \"target\": 8}]}",
"id": 1139,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CFR, PNZ, HKN, MSW, ULP, CAI, YVM, LAE\n- Travel distances (in kilometers) between each pair of airports:\nMSR to CAI: 2412\nMSR to YVM: 10274\nMSR to CFR: 3562\nMSR to PNZ: 10834\nMSR to LAE: 13948\nMSR to HKN: 14189\nMSR to ULP: 14835\nMSR to MSW: 3679\nCFR to CAI: 3425\nCFR to YVM: 7244\nCFR to PNZ: 8141\nCFR to LAE: 15214\nCFR to HKN: 15455\nCFR to ULP: 16584\nCFR to MSW: 5308\nPNZ to CAI: 10205\nPNZ to YVM: 10813\nPNZ to LAE: 18665\nPNZ to HKN: 18906\nPNZ to ULP: 17134\nPNZ to MSW: 10807\nHKN to LAE: 424\nHKN to CAI: 13744\nHKN to YVM: 17627\nHKN to ULP: 3319\nHKN to MSW: 13119\nMSW to CAI: 1883\nMSW to YVM: 12081\nMSW to LAE: 12878\nMSW to ULP: 13388\nULP to CAI: 14026\nULP to YVM: 17400\nULP to LAE: 3078\nCAI to YVM: 10198\nCAI to LAE: 13503\nYVM to LAE: 17386\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIE, MHT, KKB, KSJ, YMM, AAQ, FLS, BTT, AGT\n- Travel distances (in kilometers) between each pair of airports:\nPIE to KKB: 6601\nPIE to BTT: 6850\nPIE to KSJ: 10036\nPIE to MHT: 1997\nPIE to YMM: 4248\nPIE to AGT: 8256\nPIE to AAQ: 10278\nPIE to FLS: 16838\nMHT to KKB: 6250\nMHT to BTT: 6499\nMHT to KSJ: 8672\nMHT to YMM: 3523\nMHT to AGT: 8529\nMHT to AAQ: 8937\nMHT to FLS: 17301\nKKB to BTT: 1159\nKKB to KSJ: 13209\nKKB to YMM: 4078\nKKB to AGT: 13319\nKKB to AAQ: 13045\nKKB to FLS: 14186\nKSJ to BTT: 13176\nKSJ to YMM: 9946\nKSJ to AGT: 11767\nKSJ to AAQ: 3556\nKSJ to FLS: 15816\nYMM to BTT: 4045\nYMM to AGT: 10927\nYMM to AAQ: 9776\nYMM to FLS: 14737\nAAQ to BTT: 13012\nAAQ to AGT: 13824\nAAQ to FLS: 16189\nFLS to BTT: 14435\nFLS to AGT: 14267\nBTT to AGT: 13375\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64162,
"style": "rule"
}
|
{
"exact_answer": 64162,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PIE\", \"id\": 0}, {\"name\": \"MHT\", \"id\": 1}, {\"name\": \"KKB\", \"id\": 2}, {\"name\": \"KSJ\", \"id\": 3}, {\"name\": \"YMM\", \"id\": 4}, {\"name\": \"AAQ\", \"id\": 5}, {\"name\": \"FLS\", \"id\": 6}, {\"name\": \"BTT\", \"id\": 7}, {\"name\": \"AGT\", \"id\": 8}], \"links\": [{\"weight\": 6601, \"source\": 0, \"target\": 2}, {\"weight\": 6850, \"source\": 0, \"target\": 7}, {\"weight\": 10036, \"source\": 0, \"target\": 3}, {\"weight\": 1997, \"source\": 0, \"target\": 1}, {\"weight\": 4248, \"source\": 0, \"target\": 4}, {\"weight\": 8256, \"source\": 0, \"target\": 8}, {\"weight\": 10278, \"source\": 0, \"target\": 5}, {\"weight\": 16838, \"source\": 0, \"target\": 6}, {\"weight\": 6250, \"source\": 1, \"target\": 2}, {\"weight\": 6499, \"source\": 1, \"target\": 7}, {\"weight\": 8672, \"source\": 1, \"target\": 3}, {\"weight\": 3523, \"source\": 1, \"target\": 4}, {\"weight\": 8529, \"source\": 1, \"target\": 8}, {\"weight\": 8937, \"source\": 1, \"target\": 5}, {\"weight\": 17301, \"source\": 1, \"target\": 6}, {\"weight\": 1159, \"source\": 2, \"target\": 7}, {\"weight\": 13209, \"source\": 2, \"target\": 3}, {\"weight\": 4078, \"source\": 2, \"target\": 4}, {\"weight\": 13319, \"source\": 2, \"target\": 8}, {\"weight\": 13045, \"source\": 2, \"target\": 5}, {\"weight\": 14186, \"source\": 2, \"target\": 6}, {\"weight\": 13176, \"source\": 3, \"target\": 7}, {\"weight\": 9946, \"source\": 3, \"target\": 4}, {\"weight\": 11767, \"source\": 3, \"target\": 8}, {\"weight\": 3556, \"source\": 3, \"target\": 5}, {\"weight\": 15816, \"source\": 3, \"target\": 6}, {\"weight\": 4045, \"source\": 4, \"target\": 7}, {\"weight\": 10927, \"source\": 4, \"target\": 8}, {\"weight\": 9776, \"source\": 4, \"target\": 5}, {\"weight\": 14737, \"source\": 4, \"target\": 6}, {\"weight\": 13012, \"source\": 5, \"target\": 7}, {\"weight\": 13824, \"source\": 5, \"target\": 8}, {\"weight\": 16189, \"source\": 5, \"target\": 6}, {\"weight\": 14435, \"source\": 6, \"target\": 7}, {\"weight\": 14267, \"source\": 6, \"target\": 8}, {\"weight\": 13375, \"source\": 7, \"target\": 8}]}",
"id": 1140,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PIE, MHT, KKB, KSJ, YMM, AAQ, FLS, BTT, AGT\n- Travel distances (in kilometers) between each pair of airports:\nPIE to KKB: 6601\nPIE to BTT: 6850\nPIE to KSJ: 10036\nPIE to MHT: 1997\nPIE to YMM: 4248\nPIE to AGT: 8256\nPIE to AAQ: 10278\nPIE to FLS: 16838\nMHT to KKB: 6250\nMHT to BTT: 6499\nMHT to KSJ: 8672\nMHT to YMM: 3523\nMHT to AGT: 8529\nMHT to AAQ: 8937\nMHT to FLS: 17301\nKKB to BTT: 1159\nKKB to KSJ: 13209\nKKB to YMM: 4078\nKKB to AGT: 13319\nKKB to AAQ: 13045\nKKB to FLS: 14186\nKSJ to BTT: 13176\nKSJ to YMM: 9946\nKSJ to AGT: 11767\nKSJ to AAQ: 3556\nKSJ to FLS: 15816\nYMM to BTT: 4045\nYMM to AGT: 10927\nYMM to AAQ: 9776\nYMM to FLS: 14737\nAAQ to BTT: 13012\nAAQ to AGT: 13824\nAAQ to FLS: 16189\nFLS to BTT: 14435\nFLS to AGT: 14267\nBTT to AGT: 13375\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FNT, THX, CBQ, TEE, ATA, RAB, CUQ, RJK, YQC\n- Travel distances (in kilometers) between each pair of airports:\nFNT to YQC: 2845\nFNT to RJK: 7555\nFNT to TEE: 7786\nFNT to RAB: 16219\nFNT to CUQ: 16531\nFNT to CBQ: 9941\nFNT to ATA: 6452\nFNT to THX: 12105\nTHX to YQC: 12677\nTHX to RJK: 6419\nTHX to TEE: 8215\nTHX to RAB: 11208\nTHX to CUQ: 11422\nTHX to CBQ: 10498\nTHX to ATA: 17186\nCBQ to YQC: 11100\nCBQ to RJK: 5212\nCBQ to TEE: 4253\nCBQ to RAB: 17249\nCBQ to CUQ: 16974\nCBQ to ATA: 10704\nTEE to YQC: 8044\nTEE to RJK: 2038\nTEE to RAB: 16572\nTEE to CUQ: 16722\nTEE to ATA: 11013\nATA to YQC: 8499\nATA to RJK: 11626\nATA to RAB: 17602\nATA to CUQ: 16482\nRAB to YQC: 17579\nRAB to RJK: 14975\nRAB to CUQ: 2019\nCUQ to YQC: 18028\nCUQ to RJK: 15125\nRJK to YQC: 7221\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62816,
"style": "rule"
}
|
{
"exact_answer": 62816,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FNT\", \"id\": 0}, {\"name\": \"THX\", \"id\": 1}, {\"name\": \"CBQ\", \"id\": 2}, {\"name\": \"TEE\", \"id\": 3}, {\"name\": \"ATA\", \"id\": 4}, {\"name\": \"RAB\", \"id\": 5}, {\"name\": \"CUQ\", \"id\": 6}, {\"name\": \"RJK\", \"id\": 7}, {\"name\": \"YQC\", \"id\": 8}], \"links\": [{\"weight\": 2845, \"source\": 0, \"target\": 8}, {\"weight\": 7555, \"source\": 0, \"target\": 7}, {\"weight\": 7786, \"source\": 0, \"target\": 3}, {\"weight\": 16219, \"source\": 0, \"target\": 5}, {\"weight\": 16531, \"source\": 0, \"target\": 6}, {\"weight\": 9941, \"source\": 0, \"target\": 2}, {\"weight\": 6452, \"source\": 0, \"target\": 4}, {\"weight\": 12105, \"source\": 0, \"target\": 1}, {\"weight\": 12677, \"source\": 1, \"target\": 8}, {\"weight\": 6419, \"source\": 1, \"target\": 7}, {\"weight\": 8215, \"source\": 1, \"target\": 3}, {\"weight\": 11208, \"source\": 1, \"target\": 5}, {\"weight\": 11422, \"source\": 1, \"target\": 6}, {\"weight\": 10498, \"source\": 1, \"target\": 2}, {\"weight\": 17186, \"source\": 1, \"target\": 4}, {\"weight\": 11100, \"source\": 2, \"target\": 8}, {\"weight\": 5212, \"source\": 2, \"target\": 7}, {\"weight\": 4253, \"source\": 2, \"target\": 3}, {\"weight\": 17249, \"source\": 2, \"target\": 5}, {\"weight\": 16974, \"source\": 2, \"target\": 6}, {\"weight\": 10704, \"source\": 2, \"target\": 4}, {\"weight\": 8044, \"source\": 3, \"target\": 8}, {\"weight\": 2038, \"source\": 3, \"target\": 7}, {\"weight\": 16572, \"source\": 3, \"target\": 5}, {\"weight\": 16722, \"source\": 3, \"target\": 6}, {\"weight\": 11013, \"source\": 3, \"target\": 4}, {\"weight\": 8499, \"source\": 4, \"target\": 8}, {\"weight\": 11626, \"source\": 4, \"target\": 7}, {\"weight\": 17602, \"source\": 4, \"target\": 5}, {\"weight\": 16482, \"source\": 4, \"target\": 6}, {\"weight\": 17579, \"source\": 5, \"target\": 8}, {\"weight\": 14975, \"source\": 5, \"target\": 7}, {\"weight\": 2019, \"source\": 5, \"target\": 6}, {\"weight\": 18028, \"source\": 6, \"target\": 8}, {\"weight\": 15125, \"source\": 6, \"target\": 7}, {\"weight\": 7221, \"source\": 7, \"target\": 8}]}",
"id": 1141,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FNT, THX, CBQ, TEE, ATA, RAB, CUQ, RJK, YQC\n- Travel distances (in kilometers) between each pair of airports:\nFNT to YQC: 2845\nFNT to RJK: 7555\nFNT to TEE: 7786\nFNT to RAB: 16219\nFNT to CUQ: 16531\nFNT to CBQ: 9941\nFNT to ATA: 6452\nFNT to THX: 12105\nTHX to YQC: 12677\nTHX to RJK: 6419\nTHX to TEE: 8215\nTHX to RAB: 11208\nTHX to CUQ: 11422\nTHX to CBQ: 10498\nTHX to ATA: 17186\nCBQ to YQC: 11100\nCBQ to RJK: 5212\nCBQ to TEE: 4253\nCBQ to RAB: 17249\nCBQ to CUQ: 16974\nCBQ to ATA: 10704\nTEE to YQC: 8044\nTEE to RJK: 2038\nTEE to RAB: 16572\nTEE to CUQ: 16722\nTEE to ATA: 11013\nATA to YQC: 8499\nATA to RJK: 11626\nATA to RAB: 17602\nATA to CUQ: 16482\nRAB to YQC: 17579\nRAB to RJK: 14975\nRAB to CUQ: 2019\nCUQ to YQC: 18028\nCUQ to RJK: 15125\nRJK to YQC: 7221\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLV, NGS, NWI, HTI, ESL, YLH, YPX, CVU, IQQ\n- Travel distances (in kilometers) between each pair of airports:\nKLV to YPX: 9758\nKLV to IQQ: 14419\nKLV to ESL: 3293\nKLV to NWI: 3540\nKLV to NGS: 8920\nKLV to HTI: 14962\nKLV to CVU: 6649\nKLV to YLH: 9790\nNGS to YPX: 12129\nNGS to IQQ: 18054\nNGS to ESL: 8379\nNGS to NWI: 9386\nNGS to HTI: 6840\nNGS to CVU: 12455\nNGS to YLH: 11185\nNWI to YPX: 6608\nNWI to IQQ: 11407\nNWI to ESL: 3522\nNWI to HTI: 15593\nNWI to CVU: 3616\nNWI to YLH: 7109\nHTI to YPX: 16638\nHTI to IQQ: 14265\nHTI to ESL: 14287\nHTI to CVU: 18717\nHTI to YLH: 15694\nESL to YPX: 9760\nESL to IQQ: 14257\nESL to CVU: 6655\nESL to YLH: 9999\nYLH to YPX: 2435\nYLH to IQQ: 8658\nYLH to CVU: 6381\nYPX to IQQ: 9138\nYPX to CVU: 6435\nCVU to IQQ: 11145\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57461,
"style": "rule"
}
|
{
"exact_answer": 57461,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLV\", \"id\": 0}, {\"name\": \"NGS\", \"id\": 1}, {\"name\": \"NWI\", \"id\": 2}, {\"name\": \"HTI\", \"id\": 3}, {\"name\": \"ESL\", \"id\": 4}, {\"name\": \"YLH\", \"id\": 5}, {\"name\": \"YPX\", \"id\": 6}, {\"name\": \"CVU\", \"id\": 7}, {\"name\": \"IQQ\", \"id\": 8}], \"links\": [{\"weight\": 9758, \"source\": 0, \"target\": 6}, {\"weight\": 14419, \"source\": 0, \"target\": 8}, {\"weight\": 3293, \"source\": 0, \"target\": 4}, {\"weight\": 3540, \"source\": 0, \"target\": 2}, {\"weight\": 8920, \"source\": 0, \"target\": 1}, {\"weight\": 14962, \"source\": 0, \"target\": 3}, {\"weight\": 6649, \"source\": 0, \"target\": 7}, {\"weight\": 9790, \"source\": 0, \"target\": 5}, {\"weight\": 12129, \"source\": 1, \"target\": 6}, {\"weight\": 18054, \"source\": 1, \"target\": 8}, {\"weight\": 8379, \"source\": 1, \"target\": 4}, {\"weight\": 9386, \"source\": 1, \"target\": 2}, {\"weight\": 6840, \"source\": 1, \"target\": 3}, {\"weight\": 12455, \"source\": 1, \"target\": 7}, {\"weight\": 11185, \"source\": 1, \"target\": 5}, {\"weight\": 6608, \"source\": 2, \"target\": 6}, {\"weight\": 11407, \"source\": 2, \"target\": 8}, {\"weight\": 3522, \"source\": 2, \"target\": 4}, {\"weight\": 15593, \"source\": 2, \"target\": 3}, {\"weight\": 3616, \"source\": 2, \"target\": 7}, {\"weight\": 7109, \"source\": 2, \"target\": 5}, {\"weight\": 16638, \"source\": 3, \"target\": 6}, {\"weight\": 14265, \"source\": 3, \"target\": 8}, {\"weight\": 14287, \"source\": 3, \"target\": 4}, {\"weight\": 18717, \"source\": 3, \"target\": 7}, {\"weight\": 15694, \"source\": 3, \"target\": 5}, {\"weight\": 9760, \"source\": 4, \"target\": 6}, {\"weight\": 14257, \"source\": 4, \"target\": 8}, {\"weight\": 6655, \"source\": 4, \"target\": 7}, {\"weight\": 9999, \"source\": 4, \"target\": 5}, {\"weight\": 2435, \"source\": 5, \"target\": 6}, {\"weight\": 8658, \"source\": 5, \"target\": 8}, {\"weight\": 6381, \"source\": 5, \"target\": 7}, {\"weight\": 9138, \"source\": 6, \"target\": 8}, {\"weight\": 6435, \"source\": 6, \"target\": 7}, {\"weight\": 11145, \"source\": 7, \"target\": 8}]}",
"id": 1142,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLV, NGS, NWI, HTI, ESL, YLH, YPX, CVU, IQQ\n- Travel distances (in kilometers) between each pair of airports:\nKLV to YPX: 9758\nKLV to IQQ: 14419\nKLV to ESL: 3293\nKLV to NWI: 3540\nKLV to NGS: 8920\nKLV to HTI: 14962\nKLV to CVU: 6649\nKLV to YLH: 9790\nNGS to YPX: 12129\nNGS to IQQ: 18054\nNGS to ESL: 8379\nNGS to NWI: 9386\nNGS to HTI: 6840\nNGS to CVU: 12455\nNGS to YLH: 11185\nNWI to YPX: 6608\nNWI to IQQ: 11407\nNWI to ESL: 3522\nNWI to HTI: 15593\nNWI to CVU: 3616\nNWI to YLH: 7109\nHTI to YPX: 16638\nHTI to IQQ: 14265\nHTI to ESL: 14287\nHTI to CVU: 18717\nHTI to YLH: 15694\nESL to YPX: 9760\nESL to IQQ: 14257\nESL to CVU: 6655\nESL to YLH: 9999\nYLH to YPX: 2435\nYLH to IQQ: 8658\nYLH to CVU: 6381\nYPX to IQQ: 9138\nYPX to CVU: 6435\nCVU to IQQ: 11145\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GRB, GST, SBP, EQS, LAD, SUV, RUR, LGG, HRK\n- Travel distances (in kilometers) between each pair of airports:\nGRB to EQS: 10176\nGRB to SBP: 3121\nGRB to LAD: 11872\nGRB to LGG: 7511\nGRB to SUV: 11884\nGRB to HRK: 8795\nGRB to GST: 4173\nGRB to RUR: 10054\nGST to EQS: 13261\nGST to SBP: 2925\nGST to LAD: 15928\nGST to LGG: 10357\nGST to SUV: 10683\nGST to HRK: 11158\nGST to RUR: 10245\nSBP to EQS: 10687\nSBP to LAD: 14838\nSBP to LGG: 9936\nSBP to SUV: 9263\nSBP to HRK: 10683\nSBP to RUR: 7433\nEQS to LAD: 9610\nEQS to LGG: 12846\nEQS to SUV: 13134\nEQS to HRK: 14670\nEQS to RUR: 9914\nLAD to LGG: 7150\nLAD to SUV: 16754\nLAD to HRK: 7213\nLAD to RUR: 17706\nSUV to LGG: 17562\nSUV to HRK: 15514\nSUV to RUR: 6591\nRUR to LGG: 17096\nRUR to HRK: 17616\nLGG to HRK: 2641\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59841,
"style": "rule"
}
|
{
"exact_answer": 59841,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GRB\", \"id\": 0}, {\"name\": \"GST\", \"id\": 1}, {\"name\": \"SBP\", \"id\": 2}, {\"name\": \"EQS\", \"id\": 3}, {\"name\": \"LAD\", \"id\": 4}, {\"name\": \"SUV\", \"id\": 5}, {\"name\": \"RUR\", \"id\": 6}, {\"name\": \"LGG\", \"id\": 7}, {\"name\": \"HRK\", \"id\": 8}], \"links\": [{\"weight\": 10176, \"source\": 0, \"target\": 3}, {\"weight\": 3121, \"source\": 0, \"target\": 2}, {\"weight\": 11872, \"source\": 0, \"target\": 4}, {\"weight\": 7511, \"source\": 0, \"target\": 7}, {\"weight\": 11884, \"source\": 0, \"target\": 5}, {\"weight\": 8795, \"source\": 0, \"target\": 8}, {\"weight\": 4173, \"source\": 0, \"target\": 1}, {\"weight\": 10054, \"source\": 0, \"target\": 6}, {\"weight\": 13261, \"source\": 1, \"target\": 3}, {\"weight\": 2925, \"source\": 1, \"target\": 2}, {\"weight\": 15928, \"source\": 1, \"target\": 4}, {\"weight\": 10357, \"source\": 1, \"target\": 7}, {\"weight\": 10683, \"source\": 1, \"target\": 5}, {\"weight\": 11158, \"source\": 1, \"target\": 8}, {\"weight\": 10245, \"source\": 1, \"target\": 6}, {\"weight\": 10687, \"source\": 2, \"target\": 3}, {\"weight\": 14838, \"source\": 2, \"target\": 4}, {\"weight\": 9936, \"source\": 2, \"target\": 7}, {\"weight\": 9263, \"source\": 2, \"target\": 5}, {\"weight\": 10683, \"source\": 2, \"target\": 8}, {\"weight\": 7433, \"source\": 2, \"target\": 6}, {\"weight\": 9610, \"source\": 3, \"target\": 4}, {\"weight\": 12846, \"source\": 3, \"target\": 7}, {\"weight\": 13134, \"source\": 3, \"target\": 5}, {\"weight\": 14670, \"source\": 3, \"target\": 8}, {\"weight\": 9914, \"source\": 3, \"target\": 6}, {\"weight\": 7150, \"source\": 4, \"target\": 7}, {\"weight\": 16754, \"source\": 4, \"target\": 5}, {\"weight\": 7213, \"source\": 4, \"target\": 8}, {\"weight\": 17706, \"source\": 4, \"target\": 6}, {\"weight\": 17562, \"source\": 5, \"target\": 7}, {\"weight\": 15514, \"source\": 5, \"target\": 8}, {\"weight\": 6591, \"source\": 5, \"target\": 6}, {\"weight\": 17096, \"source\": 6, \"target\": 7}, {\"weight\": 17616, \"source\": 6, \"target\": 8}, {\"weight\": 2641, \"source\": 7, \"target\": 8}]}",
"id": 1143,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GRB, GST, SBP, EQS, LAD, SUV, RUR, LGG, HRK\n- Travel distances (in kilometers) between each pair of airports:\nGRB to EQS: 10176\nGRB to SBP: 3121\nGRB to LAD: 11872\nGRB to LGG: 7511\nGRB to SUV: 11884\nGRB to HRK: 8795\nGRB to GST: 4173\nGRB to RUR: 10054\nGST to EQS: 13261\nGST to SBP: 2925\nGST to LAD: 15928\nGST to LGG: 10357\nGST to SUV: 10683\nGST to HRK: 11158\nGST to RUR: 10245\nSBP to EQS: 10687\nSBP to LAD: 14838\nSBP to LGG: 9936\nSBP to SUV: 9263\nSBP to HRK: 10683\nSBP to RUR: 7433\nEQS to LAD: 9610\nEQS to LGG: 12846\nEQS to SUV: 13134\nEQS to HRK: 14670\nEQS to RUR: 9914\nLAD to LGG: 7150\nLAD to SUV: 16754\nLAD to HRK: 7213\nLAD to RUR: 17706\nSUV to LGG: 17562\nSUV to HRK: 15514\nSUV to RUR: 6591\nRUR to LGG: 17096\nRUR to HRK: 17616\nLGG to HRK: 2641\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CBH, TER, VLV, YUM, LYB, MXP, RDU, HTY\n- Travel distances (in kilometers) between each pair of airports:\nLKG to MXP: 7291\nLKG to VLV: 14522\nLKG to RDU: 13949\nLKG to YUM: 16702\nLKG to CBH: 8203\nLKG to LYB: 15424\nLKG to HTY: 5273\nLKG to TER: 10037\nCBH to MXP: 1837\nCBH to VLV: 8187\nCBH to RDU: 7512\nCBH to YUM: 10378\nCBH to LYB: 8872\nCBH to HTY: 3814\nCBH to TER: 3091\nTER to MXP: 3073\nTER to VLV: 7245\nTER to RDU: 4994\nTER to YUM: 7947\nTER to LYB: 6739\nTER to HTY: 5490\nVLV to MXP: 8505\nVLV to RDU: 3735\nVLV to YUM: 5935\nVLV to LYB: 2396\nVLV to HTY: 10901\nYUM to MXP: 9654\nYUM to RDU: 3292\nYUM to LYB: 3859\nYUM to HTY: 11892\nLYB to MXP: 8620\nLYB to RDU: 1831\nLYB to HTY: 11109\nMXP to RDU: 7098\nMXP to HTY: 2503\nRDU to HTY: 9529\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41767,
"style": "rule"
}
|
{
"exact_answer": 41767,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKG\", \"id\": 0}, {\"name\": \"CBH\", \"id\": 1}, {\"name\": \"TER\", \"id\": 2}, {\"name\": \"VLV\", \"id\": 3}, {\"name\": \"YUM\", \"id\": 4}, {\"name\": \"LYB\", \"id\": 5}, {\"name\": \"MXP\", \"id\": 6}, {\"name\": \"RDU\", \"id\": 7}, {\"name\": \"HTY\", \"id\": 8}], \"links\": [{\"weight\": 7291, \"source\": 0, \"target\": 6}, {\"weight\": 14522, \"source\": 0, \"target\": 3}, {\"weight\": 13949, \"source\": 0, \"target\": 7}, {\"weight\": 16702, \"source\": 0, \"target\": 4}, {\"weight\": 8203, \"source\": 0, \"target\": 1}, {\"weight\": 15424, \"source\": 0, \"target\": 5}, {\"weight\": 5273, \"source\": 0, \"target\": 8}, {\"weight\": 10037, \"source\": 0, \"target\": 2}, {\"weight\": 1837, \"source\": 1, \"target\": 6}, {\"weight\": 8187, \"source\": 1, \"target\": 3}, {\"weight\": 7512, \"source\": 1, \"target\": 7}, {\"weight\": 10378, \"source\": 1, \"target\": 4}, {\"weight\": 8872, \"source\": 1, \"target\": 5}, {\"weight\": 3814, \"source\": 1, \"target\": 8}, {\"weight\": 3091, \"source\": 1, \"target\": 2}, {\"weight\": 3073, \"source\": 2, \"target\": 6}, {\"weight\": 7245, \"source\": 2, \"target\": 3}, {\"weight\": 4994, \"source\": 2, \"target\": 7}, {\"weight\": 7947, \"source\": 2, \"target\": 4}, {\"weight\": 6739, \"source\": 2, \"target\": 5}, {\"weight\": 5490, \"source\": 2, \"target\": 8}, {\"weight\": 8505, \"source\": 3, \"target\": 6}, {\"weight\": 3735, \"source\": 3, \"target\": 7}, {\"weight\": 5935, \"source\": 3, \"target\": 4}, {\"weight\": 2396, \"source\": 3, \"target\": 5}, {\"weight\": 10901, \"source\": 3, \"target\": 8}, {\"weight\": 9654, \"source\": 4, \"target\": 6}, {\"weight\": 3292, \"source\": 4, \"target\": 7}, {\"weight\": 3859, \"source\": 4, \"target\": 5}, {\"weight\": 11892, \"source\": 4, \"target\": 8}, {\"weight\": 8620, \"source\": 5, \"target\": 6}, {\"weight\": 1831, \"source\": 5, \"target\": 7}, {\"weight\": 11109, \"source\": 5, \"target\": 8}, {\"weight\": 7098, \"source\": 6, \"target\": 7}, {\"weight\": 2503, \"source\": 6, \"target\": 8}, {\"weight\": 9529, \"source\": 7, \"target\": 8}]}",
"id": 1144,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, CBH, TER, VLV, YUM, LYB, MXP, RDU, HTY\n- Travel distances (in kilometers) between each pair of airports:\nLKG to MXP: 7291\nLKG to VLV: 14522\nLKG to RDU: 13949\nLKG to YUM: 16702\nLKG to CBH: 8203\nLKG to LYB: 15424\nLKG to HTY: 5273\nLKG to TER: 10037\nCBH to MXP: 1837\nCBH to VLV: 8187\nCBH to RDU: 7512\nCBH to YUM: 10378\nCBH to LYB: 8872\nCBH to HTY: 3814\nCBH to TER: 3091\nTER to MXP: 3073\nTER to VLV: 7245\nTER to RDU: 4994\nTER to YUM: 7947\nTER to LYB: 6739\nTER to HTY: 5490\nVLV to MXP: 8505\nVLV to RDU: 3735\nVLV to YUM: 5935\nVLV to LYB: 2396\nVLV to HTY: 10901\nYUM to MXP: 9654\nYUM to RDU: 3292\nYUM to LYB: 3859\nYUM to HTY: 11892\nLYB to MXP: 8620\nLYB to RDU: 1831\nLYB to HTY: 11109\nMXP to RDU: 7098\nMXP to HTY: 2503\nRDU to HTY: 9529\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, FJR, ARU, RIA, TTE, PRC, MKP, YNS, KDO\n- Travel distances (in kilometers) between each pair of airports:\nHPB to ARU: 14235\nHPB to RIA: 14522\nHPB to TTE: 17137\nHPB to KDO: 18018\nHPB to FJR: 15468\nHPB to MKP: 10416\nHPB to YNS: 6929\nHPB to PRC: 5209\nFJR to ARU: 13010\nFJR to RIA: 13581\nFJR to TTE: 8788\nFJR to KDO: 3631\nFJR to MKP: 18397\nFJR to YNS: 11724\nFJR to PRC: 14287\nARU to RIA: 1516\nARU to TTE: 19185\nARU to KDO: 15717\nARU to MKP: 11734\nARU to YNS: 9360\nARU to PRC: 10946\nRIA to TTE: 19816\nRIA to KDO: 16348\nRIA to MKP: 10883\nRIA to YNS: 9991\nRIA to PRC: 10858\nTTE to KDO: 6267\nTTE to MKP: 12933\nTTE to YNS: 17246\nTTE to PRC: 15553\nPRC to KDO: 16722\nPRC to MKP: 7808\nPRC to YNS: 4846\nMKP to KDO: 16523\nMKP to YNS: 11544\nYNS to KDO: 14691\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67234,
"style": "rule"
}
|
{
"exact_answer": 67234,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HPB\", \"id\": 0}, {\"name\": \"FJR\", \"id\": 1}, {\"name\": \"ARU\", \"id\": 2}, {\"name\": \"RIA\", \"id\": 3}, {\"name\": \"TTE\", \"id\": 4}, {\"name\": \"PRC\", \"id\": 5}, {\"name\": \"MKP\", \"id\": 6}, {\"name\": \"YNS\", \"id\": 7}, {\"name\": \"KDO\", \"id\": 8}], \"links\": [{\"weight\": 14235, \"source\": 0, \"target\": 2}, {\"weight\": 14522, \"source\": 0, \"target\": 3}, {\"weight\": 17137, \"source\": 0, \"target\": 4}, {\"weight\": 18018, \"source\": 0, \"target\": 8}, {\"weight\": 15468, \"source\": 0, \"target\": 1}, {\"weight\": 10416, \"source\": 0, \"target\": 6}, {\"weight\": 6929, \"source\": 0, \"target\": 7}, {\"weight\": 5209, \"source\": 0, \"target\": 5}, {\"weight\": 13010, \"source\": 1, \"target\": 2}, {\"weight\": 13581, \"source\": 1, \"target\": 3}, {\"weight\": 8788, \"source\": 1, \"target\": 4}, {\"weight\": 3631, \"source\": 1, \"target\": 8}, {\"weight\": 18397, \"source\": 1, \"target\": 6}, {\"weight\": 11724, \"source\": 1, \"target\": 7}, {\"weight\": 14287, \"source\": 1, \"target\": 5}, {\"weight\": 1516, \"source\": 2, \"target\": 3}, {\"weight\": 19185, \"source\": 2, \"target\": 4}, {\"weight\": 15717, \"source\": 2, \"target\": 8}, {\"weight\": 11734, \"source\": 2, \"target\": 6}, {\"weight\": 9360, \"source\": 2, \"target\": 7}, {\"weight\": 10946, \"source\": 2, \"target\": 5}, {\"weight\": 19816, \"source\": 3, \"target\": 4}, {\"weight\": 16348, \"source\": 3, \"target\": 8}, {\"weight\": 10883, \"source\": 3, \"target\": 6}, {\"weight\": 9991, \"source\": 3, \"target\": 7}, {\"weight\": 10858, \"source\": 3, \"target\": 5}, {\"weight\": 6267, \"source\": 4, \"target\": 8}, {\"weight\": 12933, \"source\": 4, \"target\": 6}, {\"weight\": 17246, \"source\": 4, \"target\": 7}, {\"weight\": 15553, \"source\": 4, \"target\": 5}, {\"weight\": 16722, \"source\": 5, \"target\": 8}, {\"weight\": 7808, \"source\": 5, \"target\": 6}, {\"weight\": 4846, \"source\": 5, \"target\": 7}, {\"weight\": 16523, \"source\": 6, \"target\": 8}, {\"weight\": 11544, \"source\": 6, \"target\": 7}, {\"weight\": 14691, \"source\": 7, \"target\": 8}]}",
"id": 1145,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, FJR, ARU, RIA, TTE, PRC, MKP, YNS, KDO\n- Travel distances (in kilometers) between each pair of airports:\nHPB to ARU: 14235\nHPB to RIA: 14522\nHPB to TTE: 17137\nHPB to KDO: 18018\nHPB to FJR: 15468\nHPB to MKP: 10416\nHPB to YNS: 6929\nHPB to PRC: 5209\nFJR to ARU: 13010\nFJR to RIA: 13581\nFJR to TTE: 8788\nFJR to KDO: 3631\nFJR to MKP: 18397\nFJR to YNS: 11724\nFJR to PRC: 14287\nARU to RIA: 1516\nARU to TTE: 19185\nARU to KDO: 15717\nARU to MKP: 11734\nARU to YNS: 9360\nARU to PRC: 10946\nRIA to TTE: 19816\nRIA to KDO: 16348\nRIA to MKP: 10883\nRIA to YNS: 9991\nRIA to PRC: 10858\nTTE to KDO: 6267\nTTE to MKP: 12933\nTTE to YNS: 17246\nTTE to PRC: 15553\nPRC to KDO: 16722\nPRC to MKP: 7808\nPRC to YNS: 4846\nMKP to KDO: 16523\nMKP to YNS: 11544\nYNS to KDO: 14691\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LYG, BHI, SMX, AZR, WIC, BHE, PBU, NAH, WEF\n- Travel distances (in kilometers) between each pair of airports:\nLYG to BHI: 20488\nLYG to AZR: 10793\nLYG to WIC: 8697\nLYG to SMX: 10827\nLYG to WEF: 863\nLYG to NAH: 5356\nLYG to BHE: 10420\nLYG to PBU: 3339\nBHI to AZR: 11355\nBHI to WIC: 12419\nBHI to SMX: 10674\nBHI to WEF: 20278\nBHI to NAH: 19504\nBHI to BHE: 11876\nBHI to PBU: 19867\nSMX to AZR: 11065\nSMX to WIC: 8895\nSMX to WEF: 10627\nSMX to NAH: 15175\nSMX to BHE: 11208\nSMX to PBU: 13781\nAZR to WIC: 3415\nAZR to WEF: 10578\nAZR to NAH: 14374\nAZR to BHE: 20381\nAZR to PBU: 11180\nWIC to WEF: 8479\nWIC to NAH: 13514\nWIC to BHE: 18917\nWIC to PBU: 10396\nBHE to WEF: 10535\nBHE to NAH: 8755\nBHE to PBU: 11479\nPBU to WEF: 3968\nPBU to NAH: 5646\nNAH to WEF: 5586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63734,
"style": "rule"
}
|
{
"exact_answer": 63734,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LYG\", \"id\": 0}, {\"name\": \"BHI\", \"id\": 1}, {\"name\": \"SMX\", \"id\": 2}, {\"name\": \"AZR\", \"id\": 3}, {\"name\": \"WIC\", \"id\": 4}, {\"name\": \"BHE\", \"id\": 5}, {\"name\": \"PBU\", \"id\": 6}, {\"name\": \"NAH\", \"id\": 7}, {\"name\": \"WEF\", \"id\": 8}], \"links\": [{\"weight\": 20488, \"source\": 0, \"target\": 1}, {\"weight\": 10793, \"source\": 0, \"target\": 3}, {\"weight\": 8697, \"source\": 0, \"target\": 4}, {\"weight\": 10827, \"source\": 0, \"target\": 2}, {\"weight\": 863, \"source\": 0, \"target\": 8}, {\"weight\": 5356, \"source\": 0, \"target\": 7}, {\"weight\": 10420, \"source\": 0, \"target\": 5}, {\"weight\": 3339, \"source\": 0, \"target\": 6}, {\"weight\": 11355, \"source\": 1, \"target\": 3}, {\"weight\": 12419, \"source\": 1, \"target\": 4}, {\"weight\": 10674, \"source\": 1, \"target\": 2}, {\"weight\": 20278, \"source\": 1, \"target\": 8}, {\"weight\": 19504, \"source\": 1, \"target\": 7}, {\"weight\": 11876, \"source\": 1, \"target\": 5}, {\"weight\": 19867, \"source\": 1, \"target\": 6}, {\"weight\": 11065, \"source\": 2, \"target\": 3}, {\"weight\": 8895, \"source\": 2, \"target\": 4}, {\"weight\": 10627, \"source\": 2, \"target\": 8}, {\"weight\": 15175, \"source\": 2, \"target\": 7}, {\"weight\": 11208, \"source\": 2, \"target\": 5}, {\"weight\": 13781, \"source\": 2, \"target\": 6}, {\"weight\": 3415, \"source\": 3, \"target\": 4}, {\"weight\": 10578, \"source\": 3, \"target\": 8}, {\"weight\": 14374, \"source\": 3, \"target\": 7}, {\"weight\": 20381, \"source\": 3, \"target\": 5}, {\"weight\": 11180, \"source\": 3, \"target\": 6}, {\"weight\": 8479, \"source\": 4, \"target\": 8}, {\"weight\": 13514, \"source\": 4, \"target\": 7}, {\"weight\": 18917, \"source\": 4, \"target\": 5}, {\"weight\": 10396, \"source\": 4, \"target\": 6}, {\"weight\": 10535, \"source\": 5, \"target\": 8}, {\"weight\": 8755, \"source\": 5, \"target\": 7}, {\"weight\": 11479, \"source\": 5, \"target\": 6}, {\"weight\": 3968, \"source\": 6, \"target\": 8}, {\"weight\": 5646, \"source\": 6, \"target\": 7}, {\"weight\": 5586, \"source\": 7, \"target\": 8}]}",
"id": 1146,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LYG, BHI, SMX, AZR, WIC, BHE, PBU, NAH, WEF\n- Travel distances (in kilometers) between each pair of airports:\nLYG to BHI: 20488\nLYG to AZR: 10793\nLYG to WIC: 8697\nLYG to SMX: 10827\nLYG to WEF: 863\nLYG to NAH: 5356\nLYG to BHE: 10420\nLYG to PBU: 3339\nBHI to AZR: 11355\nBHI to WIC: 12419\nBHI to SMX: 10674\nBHI to WEF: 20278\nBHI to NAH: 19504\nBHI to BHE: 11876\nBHI to PBU: 19867\nSMX to AZR: 11065\nSMX to WIC: 8895\nSMX to WEF: 10627\nSMX to NAH: 15175\nSMX to BHE: 11208\nSMX to PBU: 13781\nAZR to WIC: 3415\nAZR to WEF: 10578\nAZR to NAH: 14374\nAZR to BHE: 20381\nAZR to PBU: 11180\nWIC to WEF: 8479\nWIC to NAH: 13514\nWIC to BHE: 18917\nWIC to PBU: 10396\nBHE to WEF: 10535\nBHE to NAH: 8755\nBHE to PBU: 11479\nPBU to WEF: 3968\nPBU to NAH: 5646\nNAH to WEF: 5586\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AER, QFN, XTG, LPM, GOV, MDZ, YQZ, EVV, FRS\n- Travel distances (in kilometers) between each pair of airports:\nAER to FRS: 11688\nAER to MDZ: 13926\nAER to EVV: 9571\nAER to YQZ: 10632\nAER to GOV: 11928\nAER to QFN: 6508\nAER to LPM: 15101\nAER to XTG: 14905\nQFN to FRS: 9298\nQFN to MDZ: 14544\nQFN to EVV: 7131\nQFN to YQZ: 8192\nQFN to GOV: 17262\nQFN to LPM: 18337\nQFN to XTG: 20151\nXTG to FRS: 16132\nXTG to MDZ: 13049\nXTG to EVV: 15314\nXTG to YQZ: 13251\nXTG to GOV: 3398\nXTG to LPM: 2959\nLPM to FRS: 13686\nLPM to MDZ: 12234\nLPM to EVV: 13020\nLPM to YQZ: 11001\nLPM to GOV: 4521\nGOV to FRS: 17694\nGOV to MDZ: 14556\nGOV to EVV: 16876\nGOV to YQZ: 14812\nMDZ to FRS: 6251\nMDZ to EVV: 8346\nMDZ to YQZ: 11164\nYQZ to FRS: 5333\nYQZ to EVV: 3698\nEVV to FRS: 2573\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57741,
"style": "rule"
}
|
{
"exact_answer": 57741,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AER\", \"id\": 0}, {\"name\": \"QFN\", \"id\": 1}, {\"name\": \"XTG\", \"id\": 2}, {\"name\": \"LPM\", \"id\": 3}, {\"name\": \"GOV\", \"id\": 4}, {\"name\": \"MDZ\", \"id\": 5}, {\"name\": \"YQZ\", \"id\": 6}, {\"name\": \"EVV\", \"id\": 7}, {\"name\": \"FRS\", \"id\": 8}], \"links\": [{\"weight\": 11688, \"source\": 0, \"target\": 8}, {\"weight\": 13926, \"source\": 0, \"target\": 5}, {\"weight\": 9571, \"source\": 0, \"target\": 7}, {\"weight\": 10632, \"source\": 0, \"target\": 6}, {\"weight\": 11928, \"source\": 0, \"target\": 4}, {\"weight\": 6508, \"source\": 0, \"target\": 1}, {\"weight\": 15101, \"source\": 0, \"target\": 3}, {\"weight\": 14905, \"source\": 0, \"target\": 2}, {\"weight\": 9298, \"source\": 1, \"target\": 8}, {\"weight\": 14544, \"source\": 1, \"target\": 5}, {\"weight\": 7131, \"source\": 1, \"target\": 7}, {\"weight\": 8192, \"source\": 1, \"target\": 6}, {\"weight\": 17262, \"source\": 1, \"target\": 4}, {\"weight\": 18337, \"source\": 1, \"target\": 3}, {\"weight\": 20151, \"source\": 1, \"target\": 2}, {\"weight\": 16132, \"source\": 2, \"target\": 8}, {\"weight\": 13049, \"source\": 2, \"target\": 5}, {\"weight\": 15314, \"source\": 2, \"target\": 7}, {\"weight\": 13251, \"source\": 2, \"target\": 6}, {\"weight\": 3398, \"source\": 2, \"target\": 4}, {\"weight\": 2959, \"source\": 2, \"target\": 3}, {\"weight\": 13686, \"source\": 3, \"target\": 8}, {\"weight\": 12234, \"source\": 3, \"target\": 5}, {\"weight\": 13020, \"source\": 3, \"target\": 7}, {\"weight\": 11001, \"source\": 3, \"target\": 6}, {\"weight\": 4521, \"source\": 3, \"target\": 4}, {\"weight\": 17694, \"source\": 4, \"target\": 8}, {\"weight\": 14556, \"source\": 4, \"target\": 5}, {\"weight\": 16876, \"source\": 4, \"target\": 7}, {\"weight\": 14812, \"source\": 4, \"target\": 6}, {\"weight\": 6251, \"source\": 5, \"target\": 8}, {\"weight\": 8346, \"source\": 5, \"target\": 7}, {\"weight\": 11164, \"source\": 5, \"target\": 6}, {\"weight\": 5333, \"source\": 6, \"target\": 8}, {\"weight\": 3698, \"source\": 6, \"target\": 7}, {\"weight\": 2573, \"source\": 7, \"target\": 8}]}",
"id": 1147,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AER, QFN, XTG, LPM, GOV, MDZ, YQZ, EVV, FRS\n- Travel distances (in kilometers) between each pair of airports:\nAER to FRS: 11688\nAER to MDZ: 13926\nAER to EVV: 9571\nAER to YQZ: 10632\nAER to GOV: 11928\nAER to QFN: 6508\nAER to LPM: 15101\nAER to XTG: 14905\nQFN to FRS: 9298\nQFN to MDZ: 14544\nQFN to EVV: 7131\nQFN to YQZ: 8192\nQFN to GOV: 17262\nQFN to LPM: 18337\nQFN to XTG: 20151\nXTG to FRS: 16132\nXTG to MDZ: 13049\nXTG to EVV: 15314\nXTG to YQZ: 13251\nXTG to GOV: 3398\nXTG to LPM: 2959\nLPM to FRS: 13686\nLPM to MDZ: 12234\nLPM to EVV: 13020\nLPM to YQZ: 11001\nLPM to GOV: 4521\nGOV to FRS: 17694\nGOV to MDZ: 14556\nGOV to EVV: 16876\nGOV to YQZ: 14812\nMDZ to FRS: 6251\nMDZ to EVV: 8346\nMDZ to YQZ: 11164\nYQZ to FRS: 5333\nYQZ to EVV: 3698\nEVV to FRS: 2573\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PQI, KUV, RXS, NRT, YSJ, ZQN, MVR, PWE, TXK\n- Travel distances (in kilometers) between each pair of airports:\nPQI to RXS: 14719\nPQI to NRT: 11294\nPQI to TXK: 3333\nPQI to YSJ: 1391\nPQI to ZQN: 16235\nPQI to KUV: 12571\nPQI to MVR: 10710\nPQI to PWE: 13356\nKUV to RXS: 2881\nKUV to NRT: 1560\nKUV to TXK: 11982\nKUV to YSJ: 12425\nKUV to ZQN: 10466\nKUV to MVR: 13468\nKUV to PWE: 12805\nRXS to NRT: 3425\nRXS to TXK: 14037\nRXS to YSJ: 14701\nRXS to ZQN: 8575\nRXS to MVR: 13450\nRXS to PWE: 14335\nNRT to TXK: 10612\nNRT to YSJ: 11402\nNRT to ZQN: 9567\nNRT to MVR: 14186\nNRT to PWE: 13165\nYSJ to TXK: 3321\nYSJ to ZQN: 16094\nYSJ to MVR: 10885\nYSJ to PWE: 12859\nZQN to TXK: 13783\nZQN to MVR: 17509\nZQN to PWE: 22092\nMVR to TXK: 12495\nMVR to PWE: 12607\nPWE to TXK: 15288\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67993,
"style": "rule"
}
|
{
"exact_answer": 67993,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PQI\", \"id\": 0}, {\"name\": \"KUV\", \"id\": 1}, {\"name\": \"RXS\", \"id\": 2}, {\"name\": \"NRT\", \"id\": 3}, {\"name\": \"YSJ\", \"id\": 4}, {\"name\": \"ZQN\", \"id\": 5}, {\"name\": \"MVR\", \"id\": 6}, {\"name\": \"PWE\", \"id\": 7}, {\"name\": \"TXK\", \"id\": 8}], \"links\": [{\"weight\": 14719, \"source\": 0, \"target\": 2}, {\"weight\": 11294, \"source\": 0, \"target\": 3}, {\"weight\": 3333, \"source\": 0, \"target\": 8}, {\"weight\": 1391, \"source\": 0, \"target\": 4}, {\"weight\": 16235, \"source\": 0, \"target\": 5}, {\"weight\": 12571, \"source\": 0, \"target\": 1}, {\"weight\": 10710, \"source\": 0, \"target\": 6}, {\"weight\": 13356, \"source\": 0, \"target\": 7}, {\"weight\": 2881, \"source\": 1, \"target\": 2}, {\"weight\": 1560, \"source\": 1, \"target\": 3}, {\"weight\": 11982, \"source\": 1, \"target\": 8}, {\"weight\": 12425, \"source\": 1, \"target\": 4}, {\"weight\": 10466, \"source\": 1, \"target\": 5}, {\"weight\": 13468, \"source\": 1, \"target\": 6}, {\"weight\": 12805, \"source\": 1, \"target\": 7}, {\"weight\": 3425, \"source\": 2, \"target\": 3}, {\"weight\": 14037, \"source\": 2, \"target\": 8}, {\"weight\": 14701, \"source\": 2, \"target\": 4}, {\"weight\": 8575, \"source\": 2, \"target\": 5}, {\"weight\": 13450, \"source\": 2, \"target\": 6}, {\"weight\": 14335, \"source\": 2, \"target\": 7}, {\"weight\": 10612, \"source\": 3, \"target\": 8}, {\"weight\": 11402, \"source\": 3, \"target\": 4}, {\"weight\": 9567, \"source\": 3, \"target\": 5}, {\"weight\": 14186, \"source\": 3, \"target\": 6}, {\"weight\": 13165, \"source\": 3, \"target\": 7}, {\"weight\": 3321, \"source\": 4, \"target\": 8}, {\"weight\": 16094, \"source\": 4, \"target\": 5}, {\"weight\": 10885, \"source\": 4, \"target\": 6}, {\"weight\": 12859, \"source\": 4, \"target\": 7}, {\"weight\": 13783, \"source\": 5, \"target\": 8}, {\"weight\": 17509, \"source\": 5, \"target\": 6}, {\"weight\": 22092, \"source\": 5, \"target\": 7}, {\"weight\": 12495, \"source\": 6, \"target\": 8}, {\"weight\": 12607, \"source\": 6, \"target\": 7}, {\"weight\": 15288, \"source\": 7, \"target\": 8}]}",
"id": 1148,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PQI, KUV, RXS, NRT, YSJ, ZQN, MVR, PWE, TXK\n- Travel distances (in kilometers) between each pair of airports:\nPQI to RXS: 14719\nPQI to NRT: 11294\nPQI to TXK: 3333\nPQI to YSJ: 1391\nPQI to ZQN: 16235\nPQI to KUV: 12571\nPQI to MVR: 10710\nPQI to PWE: 13356\nKUV to RXS: 2881\nKUV to NRT: 1560\nKUV to TXK: 11982\nKUV to YSJ: 12425\nKUV to ZQN: 10466\nKUV to MVR: 13468\nKUV to PWE: 12805\nRXS to NRT: 3425\nRXS to TXK: 14037\nRXS to YSJ: 14701\nRXS to ZQN: 8575\nRXS to MVR: 13450\nRXS to PWE: 14335\nNRT to TXK: 10612\nNRT to YSJ: 11402\nNRT to ZQN: 9567\nNRT to MVR: 14186\nNRT to PWE: 13165\nYSJ to TXK: 3321\nYSJ to ZQN: 16094\nYSJ to MVR: 10885\nYSJ to PWE: 12859\nZQN to TXK: 13783\nZQN to MVR: 17509\nZQN to PWE: 22092\nMVR to TXK: 12495\nMVR to PWE: 12607\nPWE to TXK: 15288\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SRE, AFA, HVB, FRO, UTT, GOV, KOT, CHA, JIK\n- Travel distances (in kilometers) between each pair of airports:\nSRE to KOT: 12483\nSRE to CHA: 6420\nSRE to JIK: 11777\nSRE to AFA: 3251\nSRE to GOV: 16697\nSRE to HVB: 14514\nSRE to UTT: 10163\nSRE to FRO: 11616\nAFA to KOT: 15189\nAFA to CHA: 9261\nAFA to JIK: 13290\nAFA to GOV: 16421\nAFA to HVB: 14238\nAFA to UTT: 10650\nAFA to FRO: 13252\nHVB to KOT: 13050\nHVB to CHA: 14710\nHVB to JIK: 15590\nHVB to GOV: 2710\nHVB to UTT: 12599\nHVB to FRO: 16110\nFRO to KOT: 10562\nFRO to CHA: 6927\nFRO to JIK: 3129\nFRO to GOV: 13909\nFRO to UTT: 10583\nUTT to KOT: 19920\nUTT to CHA: 14355\nUTT to JIK: 8186\nUTT to GOV: 12210\nGOV to KOT: 15300\nGOV to CHA: 16960\nGOV to JIK: 13202\nKOT to CHA: 6168\nKOT to JIK: 13325\nCHA to JIK: 9325\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66874,
"style": "rule"
}
|
{
"exact_answer": 66874,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SRE\", \"id\": 0}, {\"name\": \"AFA\", \"id\": 1}, {\"name\": \"HVB\", \"id\": 2}, {\"name\": \"FRO\", \"id\": 3}, {\"name\": \"UTT\", \"id\": 4}, {\"name\": \"GOV\", \"id\": 5}, {\"name\": \"KOT\", \"id\": 6}, {\"name\": \"CHA\", \"id\": 7}, {\"name\": \"JIK\", \"id\": 8}], \"links\": [{\"weight\": 12483, \"source\": 0, \"target\": 6}, {\"weight\": 6420, \"source\": 0, \"target\": 7}, {\"weight\": 11777, \"source\": 0, \"target\": 8}, {\"weight\": 3251, \"source\": 0, \"target\": 1}, {\"weight\": 16697, \"source\": 0, \"target\": 5}, {\"weight\": 14514, \"source\": 0, \"target\": 2}, {\"weight\": 10163, \"source\": 0, \"target\": 4}, {\"weight\": 11616, \"source\": 0, \"target\": 3}, {\"weight\": 15189, \"source\": 1, \"target\": 6}, {\"weight\": 9261, \"source\": 1, \"target\": 7}, {\"weight\": 13290, \"source\": 1, \"target\": 8}, {\"weight\": 16421, \"source\": 1, \"target\": 5}, {\"weight\": 14238, \"source\": 1, \"target\": 2}, {\"weight\": 10650, \"source\": 1, \"target\": 4}, {\"weight\": 13252, \"source\": 1, \"target\": 3}, {\"weight\": 13050, \"source\": 2, \"target\": 6}, {\"weight\": 14710, \"source\": 2, \"target\": 7}, {\"weight\": 15590, \"source\": 2, \"target\": 8}, {\"weight\": 2710, \"source\": 2, \"target\": 5}, {\"weight\": 12599, \"source\": 2, \"target\": 4}, {\"weight\": 16110, \"source\": 2, \"target\": 3}, {\"weight\": 10562, \"source\": 3, \"target\": 6}, {\"weight\": 6927, \"source\": 3, \"target\": 7}, {\"weight\": 3129, \"source\": 3, \"target\": 8}, {\"weight\": 13909, \"source\": 3, \"target\": 5}, {\"weight\": 10583, \"source\": 3, \"target\": 4}, {\"weight\": 19920, \"source\": 4, \"target\": 6}, {\"weight\": 14355, \"source\": 4, \"target\": 7}, {\"weight\": 8186, \"source\": 4, \"target\": 8}, {\"weight\": 12210, \"source\": 4, \"target\": 5}, {\"weight\": 15300, \"source\": 5, \"target\": 6}, {\"weight\": 16960, \"source\": 5, \"target\": 7}, {\"weight\": 13202, \"source\": 5, \"target\": 8}, {\"weight\": 6168, \"source\": 6, \"target\": 7}, {\"weight\": 13325, \"source\": 6, \"target\": 8}, {\"weight\": 9325, \"source\": 7, \"target\": 8}]}",
"id": 1149,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SRE, AFA, HVB, FRO, UTT, GOV, KOT, CHA, JIK\n- Travel distances (in kilometers) between each pair of airports:\nSRE to KOT: 12483\nSRE to CHA: 6420\nSRE to JIK: 11777\nSRE to AFA: 3251\nSRE to GOV: 16697\nSRE to HVB: 14514\nSRE to UTT: 10163\nSRE to FRO: 11616\nAFA to KOT: 15189\nAFA to CHA: 9261\nAFA to JIK: 13290\nAFA to GOV: 16421\nAFA to HVB: 14238\nAFA to UTT: 10650\nAFA to FRO: 13252\nHVB to KOT: 13050\nHVB to CHA: 14710\nHVB to JIK: 15590\nHVB to GOV: 2710\nHVB to UTT: 12599\nHVB to FRO: 16110\nFRO to KOT: 10562\nFRO to CHA: 6927\nFRO to JIK: 3129\nFRO to GOV: 13909\nFRO to UTT: 10583\nUTT to KOT: 19920\nUTT to CHA: 14355\nUTT to JIK: 8186\nUTT to GOV: 12210\nGOV to KOT: 15300\nGOV to CHA: 16960\nGOV to JIK: 13202\nKOT to CHA: 6168\nKOT to JIK: 13325\nCHA to JIK: 9325\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MMY, IXD, AZD, HSL, MAR, POM, OGZ, CJU\n- Travel distances (in kilometers) between each pair of airports:\nEYK to MAR: 12165\nEYK to CJU: 5971\nEYK to HSL: 13904\nEYK to IXD: 4680\nEYK to AZD: 4250\nEYK to MMY: 6963\nEYK to POM: 11359\nEYK to OGZ: 3695\nMMY to MAR: 15772\nMMY to CJU: 1497\nMMY to HSL: 12411\nMMY to IXD: 5376\nMMY to AZD: 7328\nMMY to POM: 5535\nMMY to OGZ: 9358\nIXD to MAR: 15101\nIXD to CJU: 5378\nIXD to HSL: 15930\nIXD to AZD: 3132\nIXD to POM: 9379\nIXD to OGZ: 6322\nAZD to MAR: 12769\nAZD to CJU: 6760\nAZD to HSL: 15349\nAZD to POM: 11361\nAZD to OGZ: 4770\nHSL to MAR: 9164\nHSL to CJU: 11681\nHSL to POM: 13794\nHSL to OGZ: 13499\nMAR to CJU: 14802\nMAR to POM: 17958\nMAR to OGZ: 11786\nPOM to CJU: 6170\nPOM to OGZ: 13610\nOGZ to CJU: 8366\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58231,
"style": "rule"
}
|
{
"exact_answer": 58231,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EYK\", \"id\": 0}, {\"name\": \"MMY\", \"id\": 1}, {\"name\": \"IXD\", \"id\": 2}, {\"name\": \"AZD\", \"id\": 3}, {\"name\": \"HSL\", \"id\": 4}, {\"name\": \"MAR\", \"id\": 5}, {\"name\": \"POM\", \"id\": 6}, {\"name\": \"OGZ\", \"id\": 7}, {\"name\": \"CJU\", \"id\": 8}], \"links\": [{\"weight\": 12165, \"source\": 0, \"target\": 5}, {\"weight\": 5971, \"source\": 0, \"target\": 8}, {\"weight\": 13904, \"source\": 0, \"target\": 4}, {\"weight\": 4680, \"source\": 0, \"target\": 2}, {\"weight\": 4250, \"source\": 0, \"target\": 3}, {\"weight\": 6963, \"source\": 0, \"target\": 1}, {\"weight\": 11359, \"source\": 0, \"target\": 6}, {\"weight\": 3695, \"source\": 0, \"target\": 7}, {\"weight\": 15772, \"source\": 1, \"target\": 5}, {\"weight\": 1497, \"source\": 1, \"target\": 8}, {\"weight\": 12411, \"source\": 1, \"target\": 4}, {\"weight\": 5376, \"source\": 1, \"target\": 2}, {\"weight\": 7328, \"source\": 1, \"target\": 3}, {\"weight\": 5535, \"source\": 1, \"target\": 6}, {\"weight\": 9358, \"source\": 1, \"target\": 7}, {\"weight\": 15101, \"source\": 2, \"target\": 5}, {\"weight\": 5378, \"source\": 2, \"target\": 8}, {\"weight\": 15930, \"source\": 2, \"target\": 4}, {\"weight\": 3132, \"source\": 2, \"target\": 3}, {\"weight\": 9379, \"source\": 2, \"target\": 6}, {\"weight\": 6322, \"source\": 2, \"target\": 7}, {\"weight\": 12769, \"source\": 3, \"target\": 5}, {\"weight\": 6760, \"source\": 3, \"target\": 8}, {\"weight\": 15349, \"source\": 3, \"target\": 4}, {\"weight\": 11361, \"source\": 3, \"target\": 6}, {\"weight\": 4770, \"source\": 3, \"target\": 7}, {\"weight\": 9164, \"source\": 4, \"target\": 5}, {\"weight\": 11681, \"source\": 4, \"target\": 8}, {\"weight\": 13794, \"source\": 4, \"target\": 6}, {\"weight\": 13499, \"source\": 4, \"target\": 7}, {\"weight\": 14802, \"source\": 5, \"target\": 8}, {\"weight\": 17958, \"source\": 5, \"target\": 6}, {\"weight\": 11786, \"source\": 5, \"target\": 7}, {\"weight\": 6170, \"source\": 6, \"target\": 8}, {\"weight\": 13610, \"source\": 6, \"target\": 7}, {\"weight\": 8366, \"source\": 7, \"target\": 8}]}",
"id": 1150,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MMY, IXD, AZD, HSL, MAR, POM, OGZ, CJU\n- Travel distances (in kilometers) between each pair of airports:\nEYK to MAR: 12165\nEYK to CJU: 5971\nEYK to HSL: 13904\nEYK to IXD: 4680\nEYK to AZD: 4250\nEYK to MMY: 6963\nEYK to POM: 11359\nEYK to OGZ: 3695\nMMY to MAR: 15772\nMMY to CJU: 1497\nMMY to HSL: 12411\nMMY to IXD: 5376\nMMY to AZD: 7328\nMMY to POM: 5535\nMMY to OGZ: 9358\nIXD to MAR: 15101\nIXD to CJU: 5378\nIXD to HSL: 15930\nIXD to AZD: 3132\nIXD to POM: 9379\nIXD to OGZ: 6322\nAZD to MAR: 12769\nAZD to CJU: 6760\nAZD to HSL: 15349\nAZD to POM: 11361\nAZD to OGZ: 4770\nHSL to MAR: 9164\nHSL to CJU: 11681\nHSL to POM: 13794\nHSL to OGZ: 13499\nMAR to CJU: 14802\nMAR to POM: 17958\nMAR to OGZ: 11786\nPOM to CJU: 6170\nPOM to OGZ: 13610\nOGZ to CJU: 8366\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNJ, THS, TOH, IMP, AXA, DIU, EGE, DWC, MYA\n- Travel distances (in kilometers) between each pair of airports:\nCNJ to DWC: 10591\nCNJ to AXA: 18627\nCNJ to DIU: 8933\nCNJ to IMP: 18045\nCNJ to TOH: 3736\nCNJ to THS: 6530\nCNJ to EGE: 14592\nCNJ to MYA: 2470\nTHS to DWC: 5343\nTHS to AXA: 16566\nTHS to DIU: 3709\nTHS to IMP: 17361\nTHS to TOH: 9771\nTHS to EGE: 14197\nTHS to MYA: 8158\nTOH to DWC: 14034\nTOH to AXA: 16161\nTOH to DIU: 12376\nTOH to IMP: 17067\nTOH to EGE: 11995\nTOH to MYA: 3244\nIMP to DWC: 12445\nIMP to AXA: 3199\nIMP to DIU: 14248\nIMP to EGE: 7975\nIMP to MYA: 16193\nAXA to DWC: 12011\nAXA to DIU: 14019\nAXA to EGE: 4875\nAXA to MYA: 17674\nDIU to DWC: 2208\nDIU to EGE: 14732\nDIU to MYA: 10717\nEGE to DWC: 12873\nEGE to MYA: 13875\nDWC to MYA: 12355\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50675,
"style": "rule"
}
|
{
"exact_answer": 50675,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CNJ\", \"id\": 0}, {\"name\": \"THS\", \"id\": 1}, {\"name\": \"TOH\", \"id\": 2}, {\"name\": \"IMP\", \"id\": 3}, {\"name\": \"AXA\", \"id\": 4}, {\"name\": \"DIU\", \"id\": 5}, {\"name\": \"EGE\", \"id\": 6}, {\"name\": \"DWC\", \"id\": 7}, {\"name\": \"MYA\", \"id\": 8}], \"links\": [{\"weight\": 10591, \"source\": 0, \"target\": 7}, {\"weight\": 18627, \"source\": 0, \"target\": 4}, {\"weight\": 8933, \"source\": 0, \"target\": 5}, {\"weight\": 18045, \"source\": 0, \"target\": 3}, {\"weight\": 3736, \"source\": 0, \"target\": 2}, {\"weight\": 6530, \"source\": 0, \"target\": 1}, {\"weight\": 14592, \"source\": 0, \"target\": 6}, {\"weight\": 2470, \"source\": 0, \"target\": 8}, {\"weight\": 5343, \"source\": 1, \"target\": 7}, {\"weight\": 16566, \"source\": 1, \"target\": 4}, {\"weight\": 3709, \"source\": 1, \"target\": 5}, {\"weight\": 17361, \"source\": 1, \"target\": 3}, {\"weight\": 9771, \"source\": 1, \"target\": 2}, {\"weight\": 14197, \"source\": 1, \"target\": 6}, {\"weight\": 8158, \"source\": 1, \"target\": 8}, {\"weight\": 14034, \"source\": 2, \"target\": 7}, {\"weight\": 16161, \"source\": 2, \"target\": 4}, {\"weight\": 12376, \"source\": 2, \"target\": 5}, {\"weight\": 17067, \"source\": 2, \"target\": 3}, {\"weight\": 11995, \"source\": 2, \"target\": 6}, {\"weight\": 3244, \"source\": 2, \"target\": 8}, {\"weight\": 12445, \"source\": 3, \"target\": 7}, {\"weight\": 3199, \"source\": 3, \"target\": 4}, {\"weight\": 14248, \"source\": 3, \"target\": 5}, {\"weight\": 7975, \"source\": 3, \"target\": 6}, {\"weight\": 16193, \"source\": 3, \"target\": 8}, {\"weight\": 12011, \"source\": 4, \"target\": 7}, {\"weight\": 14019, \"source\": 4, \"target\": 5}, {\"weight\": 4875, \"source\": 4, \"target\": 6}, {\"weight\": 17674, \"source\": 4, \"target\": 8}, {\"weight\": 2208, \"source\": 5, \"target\": 7}, {\"weight\": 14732, \"source\": 5, \"target\": 6}, {\"weight\": 10717, \"source\": 5, \"target\": 8}, {\"weight\": 12873, \"source\": 6, \"target\": 7}, {\"weight\": 13875, \"source\": 6, \"target\": 8}, {\"weight\": 12355, \"source\": 7, \"target\": 8}]}",
"id": 1151,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNJ, THS, TOH, IMP, AXA, DIU, EGE, DWC, MYA\n- Travel distances (in kilometers) between each pair of airports:\nCNJ to DWC: 10591\nCNJ to AXA: 18627\nCNJ to DIU: 8933\nCNJ to IMP: 18045\nCNJ to TOH: 3736\nCNJ to THS: 6530\nCNJ to EGE: 14592\nCNJ to MYA: 2470\nTHS to DWC: 5343\nTHS to AXA: 16566\nTHS to DIU: 3709\nTHS to IMP: 17361\nTHS to TOH: 9771\nTHS to EGE: 14197\nTHS to MYA: 8158\nTOH to DWC: 14034\nTOH to AXA: 16161\nTOH to DIU: 12376\nTOH to IMP: 17067\nTOH to EGE: 11995\nTOH to MYA: 3244\nIMP to DWC: 12445\nIMP to AXA: 3199\nIMP to DIU: 14248\nIMP to EGE: 7975\nIMP to MYA: 16193\nAXA to DWC: 12011\nAXA to DIU: 14019\nAXA to EGE: 4875\nAXA to MYA: 17674\nDIU to DWC: 2208\nDIU to EGE: 14732\nDIU to MYA: 10717\nEGE to DWC: 12873\nEGE to MYA: 13875\nDWC to MYA: 12355\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, SFA, SBZ, PBL, RVD, QUO, MYJ, MEB, YAM\n- Travel distances (in kilometers) between each pair of airports:\nEMK to SFA: 12932\nEMK to YAM: 6095\nEMK to RVD: 14489\nEMK to MYJ: 11546\nEMK to SBZ: 12586\nEMK to MEB: 14941\nEMK to PBL: 9612\nEMK to QUO: 15510\nSFA to YAM: 8010\nSFA to RVD: 10191\nSFA to MYJ: 10469\nSFA to SBZ: 2042\nSFA to MEB: 17052\nSFA to PBL: 9233\nSFA to QUO: 4639\nSBZ to YAM: 8068\nSBZ to RVD: 11507\nSBZ to MYJ: 8983\nSBZ to MEB: 16269\nSBZ to PBL: 9542\nSBZ to QUO: 5748\nPBL to YAM: 4765\nPBL to RVD: 5379\nPBL to MYJ: 15010\nPBL to MEB: 18490\nPBL to QUO: 10111\nRVD to YAM: 9543\nRVD to MYJ: 19717\nRVD to MEB: 16333\nRVD to QUO: 7677\nQUO to YAM: 10063\nQUO to MYJ: 13592\nQUO to MEB: 16992\nMYJ to YAM: 10887\nMYJ to MEB: 9393\nMEB to YAM: 16842\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63914,
"style": "rule"
}
|
{
"exact_answer": 63914,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EMK\", \"id\": 0}, {\"name\": \"SFA\", \"id\": 1}, {\"name\": \"SBZ\", \"id\": 2}, {\"name\": \"PBL\", \"id\": 3}, {\"name\": \"RVD\", \"id\": 4}, {\"name\": \"QUO\", \"id\": 5}, {\"name\": \"MYJ\", \"id\": 6}, {\"name\": \"MEB\", \"id\": 7}, {\"name\": \"YAM\", \"id\": 8}], \"links\": [{\"weight\": 12932, \"source\": 0, \"target\": 1}, {\"weight\": 6095, \"source\": 0, \"target\": 8}, {\"weight\": 14489, \"source\": 0, \"target\": 4}, {\"weight\": 11546, \"source\": 0, \"target\": 6}, {\"weight\": 12586, \"source\": 0, \"target\": 2}, {\"weight\": 14941, \"source\": 0, \"target\": 7}, {\"weight\": 9612, \"source\": 0, \"target\": 3}, {\"weight\": 15510, \"source\": 0, \"target\": 5}, {\"weight\": 8010, \"source\": 1, \"target\": 8}, {\"weight\": 10191, \"source\": 1, \"target\": 4}, {\"weight\": 10469, \"source\": 1, \"target\": 6}, {\"weight\": 2042, \"source\": 1, \"target\": 2}, {\"weight\": 17052, \"source\": 1, \"target\": 7}, {\"weight\": 9233, \"source\": 1, \"target\": 3}, {\"weight\": 4639, \"source\": 1, \"target\": 5}, {\"weight\": 8068, \"source\": 2, \"target\": 8}, {\"weight\": 11507, \"source\": 2, \"target\": 4}, {\"weight\": 8983, \"source\": 2, \"target\": 6}, {\"weight\": 16269, \"source\": 2, \"target\": 7}, {\"weight\": 9542, \"source\": 2, \"target\": 3}, {\"weight\": 5748, \"source\": 2, \"target\": 5}, {\"weight\": 4765, \"source\": 3, \"target\": 8}, {\"weight\": 5379, \"source\": 3, \"target\": 4}, {\"weight\": 15010, \"source\": 3, \"target\": 6}, {\"weight\": 18490, \"source\": 3, \"target\": 7}, {\"weight\": 10111, \"source\": 3, \"target\": 5}, {\"weight\": 9543, \"source\": 4, \"target\": 8}, {\"weight\": 19717, \"source\": 4, \"target\": 6}, {\"weight\": 16333, \"source\": 4, \"target\": 7}, {\"weight\": 7677, \"source\": 4, \"target\": 5}, {\"weight\": 10063, \"source\": 5, \"target\": 8}, {\"weight\": 13592, \"source\": 5, \"target\": 6}, {\"weight\": 16992, \"source\": 5, \"target\": 7}, {\"weight\": 10887, \"source\": 6, \"target\": 8}, {\"weight\": 9393, \"source\": 6, \"target\": 7}, {\"weight\": 16842, \"source\": 7, \"target\": 8}]}",
"id": 1152,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EMK, SFA, SBZ, PBL, RVD, QUO, MYJ, MEB, YAM\n- Travel distances (in kilometers) between each pair of airports:\nEMK to SFA: 12932\nEMK to YAM: 6095\nEMK to RVD: 14489\nEMK to MYJ: 11546\nEMK to SBZ: 12586\nEMK to MEB: 14941\nEMK to PBL: 9612\nEMK to QUO: 15510\nSFA to YAM: 8010\nSFA to RVD: 10191\nSFA to MYJ: 10469\nSFA to SBZ: 2042\nSFA to MEB: 17052\nSFA to PBL: 9233\nSFA to QUO: 4639\nSBZ to YAM: 8068\nSBZ to RVD: 11507\nSBZ to MYJ: 8983\nSBZ to MEB: 16269\nSBZ to PBL: 9542\nSBZ to QUO: 5748\nPBL to YAM: 4765\nPBL to RVD: 5379\nPBL to MYJ: 15010\nPBL to MEB: 18490\nPBL to QUO: 10111\nRVD to YAM: 9543\nRVD to MYJ: 19717\nRVD to MEB: 16333\nRVD to QUO: 7677\nQUO to YAM: 10063\nQUO to MYJ: 13592\nQUO to MEB: 16992\nMYJ to YAM: 10887\nMYJ to MEB: 9393\nMEB to YAM: 16842\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KEW, LUK, CXJ, JLR, NKM, LUG, KCL, NJF\n- Travel distances (in kilometers) between each pair of airports:\nSUF to CXJ: 10687\nSUF to JLR: 6857\nSUF to LUG: 1299\nSUF to NJF: 3176\nSUF to KCL: 12648\nSUF to NKM: 10312\nSUF to LUK: 8665\nSUF to KEW: 9108\nKEW to CXJ: 10561\nKEW to JLR: 13888\nKEW to LUG: 8185\nKEW to NJF: 11465\nKEW to KCL: 5490\nKEW to NKM: 10260\nKEW to LUK: 2103\nLUK to CXJ: 8644\nLUK to JLR: 13451\nLUK to LUG: 7736\nLUK to NJF: 11019\nLUK to KCL: 5763\nLUK to NKM: 11148\nCXJ to JLR: 15483\nCXJ to LUG: 10404\nCXJ to NJF: 12354\nCXJ to KCL: 14275\nCXJ to NKM: 19651\nJLR to LUG: 6979\nJLR to NJF: 3953\nJLR to KCL: 16230\nJLR to NKM: 6589\nNKM to LUG: 9972\nNKM to NJF: 8549\nNKM to KCL: 11357\nLUG to NJF: 3635\nLUG to KCL: 11682\nKCL to NJF: 14743\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53015,
"style": "rule"
}
|
{
"exact_answer": 53015,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SUF\", \"id\": 0}, {\"name\": \"KEW\", \"id\": 1}, {\"name\": \"LUK\", \"id\": 2}, {\"name\": \"CXJ\", \"id\": 3}, {\"name\": \"JLR\", \"id\": 4}, {\"name\": \"NKM\", \"id\": 5}, {\"name\": \"LUG\", \"id\": 6}, {\"name\": \"KCL\", \"id\": 7}, {\"name\": \"NJF\", \"id\": 8}], \"links\": [{\"weight\": 10687, \"source\": 0, \"target\": 3}, {\"weight\": 6857, \"source\": 0, \"target\": 4}, {\"weight\": 1299, \"source\": 0, \"target\": 6}, {\"weight\": 3176, \"source\": 0, \"target\": 8}, {\"weight\": 12648, \"source\": 0, \"target\": 7}, {\"weight\": 10312, \"source\": 0, \"target\": 5}, {\"weight\": 8665, \"source\": 0, \"target\": 2}, {\"weight\": 9108, \"source\": 0, \"target\": 1}, {\"weight\": 10561, \"source\": 1, \"target\": 3}, {\"weight\": 13888, \"source\": 1, \"target\": 4}, {\"weight\": 8185, \"source\": 1, \"target\": 6}, {\"weight\": 11465, \"source\": 1, \"target\": 8}, {\"weight\": 5490, \"source\": 1, \"target\": 7}, {\"weight\": 10260, \"source\": 1, \"target\": 5}, {\"weight\": 2103, \"source\": 1, \"target\": 2}, {\"weight\": 8644, \"source\": 2, \"target\": 3}, {\"weight\": 13451, \"source\": 2, \"target\": 4}, {\"weight\": 7736, \"source\": 2, \"target\": 6}, {\"weight\": 11019, \"source\": 2, \"target\": 8}, {\"weight\": 5763, \"source\": 2, \"target\": 7}, {\"weight\": 11148, \"source\": 2, \"target\": 5}, {\"weight\": 15483, \"source\": 3, \"target\": 4}, {\"weight\": 10404, \"source\": 3, \"target\": 6}, {\"weight\": 12354, \"source\": 3, \"target\": 8}, {\"weight\": 14275, \"source\": 3, \"target\": 7}, {\"weight\": 19651, \"source\": 3, \"target\": 5}, {\"weight\": 6979, \"source\": 4, \"target\": 6}, {\"weight\": 3953, \"source\": 4, \"target\": 8}, {\"weight\": 16230, \"source\": 4, \"target\": 7}, {\"weight\": 6589, \"source\": 4, \"target\": 5}, {\"weight\": 9972, \"source\": 5, \"target\": 6}, {\"weight\": 8549, \"source\": 5, \"target\": 8}, {\"weight\": 11357, \"source\": 5, \"target\": 7}, {\"weight\": 3635, \"source\": 6, \"target\": 8}, {\"weight\": 11682, \"source\": 6, \"target\": 7}, {\"weight\": 14743, \"source\": 7, \"target\": 8}]}",
"id": 1153,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, KEW, LUK, CXJ, JLR, NKM, LUG, KCL, NJF\n- Travel distances (in kilometers) between each pair of airports:\nSUF to CXJ: 10687\nSUF to JLR: 6857\nSUF to LUG: 1299\nSUF to NJF: 3176\nSUF to KCL: 12648\nSUF to NKM: 10312\nSUF to LUK: 8665\nSUF to KEW: 9108\nKEW to CXJ: 10561\nKEW to JLR: 13888\nKEW to LUG: 8185\nKEW to NJF: 11465\nKEW to KCL: 5490\nKEW to NKM: 10260\nKEW to LUK: 2103\nLUK to CXJ: 8644\nLUK to JLR: 13451\nLUK to LUG: 7736\nLUK to NJF: 11019\nLUK to KCL: 5763\nLUK to NKM: 11148\nCXJ to JLR: 15483\nCXJ to LUG: 10404\nCXJ to NJF: 12354\nCXJ to KCL: 14275\nCXJ to NKM: 19651\nJLR to LUG: 6979\nJLR to NJF: 3953\nJLR to KCL: 16230\nJLR to NKM: 6589\nNKM to LUG: 9972\nNKM to NJF: 8549\nNKM to KCL: 11357\nLUG to NJF: 3635\nLUG to KCL: 11682\nKCL to NJF: 14743\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPN, QOQ, CUL, YYQ, PUF, BUN, LCE, EYW, SDD\n- Travel distances (in kilometers) between each pair of airports:\nUPN to EYW: 5780\nUPN to CUL: 3350\nUPN to YYQ: 5776\nUPN to BUN: 7838\nUPN to PUF: 12045\nUPN to SDD: 17465\nUPN to QOQ: 11336\nUPN to LCE: 5764\nQOQ to EYW: 8042\nQOQ to CUL: 9581\nQOQ to YYQ: 8617\nQOQ to BUN: 10411\nQOQ to PUF: 4834\nQOQ to SDD: 11346\nQOQ to LCE: 9151\nCUL to EYW: 2933\nCUL to YYQ: 4318\nCUL to BUN: 4538\nCUL to PUF: 10116\nCUL to SDD: 14344\nCUL to LCE: 2428\nYYQ to EYW: 4128\nYYQ to BUN: 6815\nYYQ to PUF: 8835\nYYQ to SDD: 14259\nYYQ to LCE: 5074\nPUF to EYW: 8238\nPUF to BUN: 9577\nPUF to SDD: 7596\nPUF to LCE: 9345\nBUN to EYW: 2966\nBUN to SDD: 11746\nBUN to LCE: 2293\nLCE to EYW: 1509\nLCE to SDD: 12766\nEYW to SDD: 12685\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48654,
"style": "rule"
}
|
{
"exact_answer": 48654,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UPN\", \"id\": 0}, {\"name\": \"QOQ\", \"id\": 1}, {\"name\": \"CUL\", \"id\": 2}, {\"name\": \"YYQ\", \"id\": 3}, {\"name\": \"PUF\", \"id\": 4}, {\"name\": \"BUN\", \"id\": 5}, {\"name\": \"LCE\", \"id\": 6}, {\"name\": \"EYW\", \"id\": 7}, {\"name\": \"SDD\", \"id\": 8}], \"links\": [{\"weight\": 5780, \"source\": 0, \"target\": 7}, {\"weight\": 3350, \"source\": 0, \"target\": 2}, {\"weight\": 5776, \"source\": 0, \"target\": 3}, {\"weight\": 7838, \"source\": 0, \"target\": 5}, {\"weight\": 12045, \"source\": 0, \"target\": 4}, {\"weight\": 17465, \"source\": 0, \"target\": 8}, {\"weight\": 11336, \"source\": 0, \"target\": 1}, {\"weight\": 5764, \"source\": 0, \"target\": 6}, {\"weight\": 8042, \"source\": 1, \"target\": 7}, {\"weight\": 9581, \"source\": 1, \"target\": 2}, {\"weight\": 8617, \"source\": 1, \"target\": 3}, {\"weight\": 10411, \"source\": 1, \"target\": 5}, {\"weight\": 4834, \"source\": 1, \"target\": 4}, {\"weight\": 11346, \"source\": 1, \"target\": 8}, {\"weight\": 9151, \"source\": 1, \"target\": 6}, {\"weight\": 2933, \"source\": 2, \"target\": 7}, {\"weight\": 4318, \"source\": 2, \"target\": 3}, {\"weight\": 4538, \"source\": 2, \"target\": 5}, {\"weight\": 10116, \"source\": 2, \"target\": 4}, {\"weight\": 14344, \"source\": 2, \"target\": 8}, {\"weight\": 2428, \"source\": 2, \"target\": 6}, {\"weight\": 4128, \"source\": 3, \"target\": 7}, {\"weight\": 6815, \"source\": 3, \"target\": 5}, {\"weight\": 8835, \"source\": 3, \"target\": 4}, {\"weight\": 14259, \"source\": 3, \"target\": 8}, {\"weight\": 5074, \"source\": 3, \"target\": 6}, {\"weight\": 8238, \"source\": 4, \"target\": 7}, {\"weight\": 9577, \"source\": 4, \"target\": 5}, {\"weight\": 7596, \"source\": 4, \"target\": 8}, {\"weight\": 9345, \"source\": 4, \"target\": 6}, {\"weight\": 2966, \"source\": 5, \"target\": 7}, {\"weight\": 11746, \"source\": 5, \"target\": 8}, {\"weight\": 2293, \"source\": 5, \"target\": 6}, {\"weight\": 1509, \"source\": 6, \"target\": 7}, {\"weight\": 12766, \"source\": 6, \"target\": 8}, {\"weight\": 12685, \"source\": 7, \"target\": 8}]}",
"id": 1154,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UPN, QOQ, CUL, YYQ, PUF, BUN, LCE, EYW, SDD\n- Travel distances (in kilometers) between each pair of airports:\nUPN to EYW: 5780\nUPN to CUL: 3350\nUPN to YYQ: 5776\nUPN to BUN: 7838\nUPN to PUF: 12045\nUPN to SDD: 17465\nUPN to QOQ: 11336\nUPN to LCE: 5764\nQOQ to EYW: 8042\nQOQ to CUL: 9581\nQOQ to YYQ: 8617\nQOQ to BUN: 10411\nQOQ to PUF: 4834\nQOQ to SDD: 11346\nQOQ to LCE: 9151\nCUL to EYW: 2933\nCUL to YYQ: 4318\nCUL to BUN: 4538\nCUL to PUF: 10116\nCUL to SDD: 14344\nCUL to LCE: 2428\nYYQ to EYW: 4128\nYYQ to BUN: 6815\nYYQ to PUF: 8835\nYYQ to SDD: 14259\nYYQ to LCE: 5074\nPUF to EYW: 8238\nPUF to BUN: 9577\nPUF to SDD: 7596\nPUF to LCE: 9345\nBUN to EYW: 2966\nBUN to SDD: 11746\nBUN to LCE: 2293\nLCE to EYW: 1509\nLCE to SDD: 12766\nEYW to SDD: 12685\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MRA, NIQ, GNY, AVV, OKL, LBE, RGL, MVR\n- Travel distances (in kilometers) between each pair of airports:\nROA to GNY: 9636\nROA to RGL: 10257\nROA to MRA: 8326\nROA to NIQ: 6997\nROA to OKL: 18866\nROA to AVV: 16312\nROA to LBE: 1235\nROA to MVR: 10729\nMRA to GNY: 2545\nMRA to RGL: 13651\nMRA to NIQ: 6613\nMRA to OKL: 14210\nMRA to AVV: 16763\nMRA to LBE: 9323\nMRA to MVR: 6150\nNIQ to GNY: 6895\nNIQ to RGL: 16834\nNIQ to OKL: 18243\nNIQ to AVV: 20620\nNIQ to LBE: 8014\nNIQ to MVR: 10373\nGNY to RGL: 15314\nGNY to OKL: 13303\nGNY to AVV: 15961\nGNY to LBE: 10612\nGNY to MVR: 6301\nAVV to RGL: 14395\nAVV to OKL: 8528\nAVV to LBE: 16979\nAVV to MVR: 16557\nOKL to RGL: 21413\nOKL to LBE: 20009\nOKL to MVR: 15918\nLBE to RGL: 10581\nLBE to MVR: 11726\nRGL to MVR: 11706\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 73113,
"style": "rule"
}
|
{
"exact_answer": 73113,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ROA\", \"id\": 0}, {\"name\": \"MRA\", \"id\": 1}, {\"name\": \"NIQ\", \"id\": 2}, {\"name\": \"GNY\", \"id\": 3}, {\"name\": \"AVV\", \"id\": 4}, {\"name\": \"OKL\", \"id\": 5}, {\"name\": \"LBE\", \"id\": 6}, {\"name\": \"RGL\", \"id\": 7}, {\"name\": \"MVR\", \"id\": 8}], \"links\": [{\"weight\": 9636, \"source\": 0, \"target\": 3}, {\"weight\": 10257, \"source\": 0, \"target\": 7}, {\"weight\": 8326, \"source\": 0, \"target\": 1}, {\"weight\": 6997, \"source\": 0, \"target\": 2}, {\"weight\": 18866, \"source\": 0, \"target\": 5}, {\"weight\": 16312, \"source\": 0, \"target\": 4}, {\"weight\": 1235, \"source\": 0, \"target\": 6}, {\"weight\": 10729, \"source\": 0, \"target\": 8}, {\"weight\": 2545, \"source\": 1, \"target\": 3}, {\"weight\": 13651, \"source\": 1, \"target\": 7}, {\"weight\": 6613, \"source\": 1, \"target\": 2}, {\"weight\": 14210, \"source\": 1, \"target\": 5}, {\"weight\": 16763, \"source\": 1, \"target\": 4}, {\"weight\": 9323, \"source\": 1, \"target\": 6}, {\"weight\": 6150, \"source\": 1, \"target\": 8}, {\"weight\": 6895, \"source\": 2, \"target\": 3}, {\"weight\": 16834, \"source\": 2, \"target\": 7}, {\"weight\": 18243, \"source\": 2, \"target\": 5}, {\"weight\": 20620, \"source\": 2, \"target\": 4}, {\"weight\": 8014, \"source\": 2, \"target\": 6}, {\"weight\": 10373, \"source\": 2, \"target\": 8}, {\"weight\": 15314, \"source\": 3, \"target\": 7}, {\"weight\": 13303, \"source\": 3, \"target\": 5}, {\"weight\": 15961, \"source\": 3, \"target\": 4}, {\"weight\": 10612, \"source\": 3, \"target\": 6}, {\"weight\": 6301, \"source\": 3, \"target\": 8}, {\"weight\": 14395, \"source\": 4, \"target\": 7}, {\"weight\": 8528, \"source\": 4, \"target\": 5}, {\"weight\": 16979, \"source\": 4, \"target\": 6}, {\"weight\": 16557, \"source\": 4, \"target\": 8}, {\"weight\": 21413, \"source\": 5, \"target\": 7}, {\"weight\": 20009, \"source\": 5, \"target\": 6}, {\"weight\": 15918, \"source\": 5, \"target\": 8}, {\"weight\": 10581, \"source\": 6, \"target\": 7}, {\"weight\": 11726, \"source\": 6, \"target\": 8}, {\"weight\": 11706, \"source\": 7, \"target\": 8}]}",
"id": 1155,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, MRA, NIQ, GNY, AVV, OKL, LBE, RGL, MVR\n- Travel distances (in kilometers) between each pair of airports:\nROA to GNY: 9636\nROA to RGL: 10257\nROA to MRA: 8326\nROA to NIQ: 6997\nROA to OKL: 18866\nROA to AVV: 16312\nROA to LBE: 1235\nROA to MVR: 10729\nMRA to GNY: 2545\nMRA to RGL: 13651\nMRA to NIQ: 6613\nMRA to OKL: 14210\nMRA to AVV: 16763\nMRA to LBE: 9323\nMRA to MVR: 6150\nNIQ to GNY: 6895\nNIQ to RGL: 16834\nNIQ to OKL: 18243\nNIQ to AVV: 20620\nNIQ to LBE: 8014\nNIQ to MVR: 10373\nGNY to RGL: 15314\nGNY to OKL: 13303\nGNY to AVV: 15961\nGNY to LBE: 10612\nGNY to MVR: 6301\nAVV to RGL: 14395\nAVV to OKL: 8528\nAVV to LBE: 16979\nAVV to MVR: 16557\nOKL to RGL: 21413\nOKL to LBE: 20009\nOKL to MVR: 15918\nLBE to RGL: 10581\nLBE to MVR: 11726\nRGL to MVR: 11706\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RNA, KZI, MDQ, EPR, TRS, CGR, KRL, BIA, VOG\n- Travel distances (in kilometers) between each pair of airports:\nRNA to CGR: 16544\nRNA to BIA: 16486\nRNA to VOG: 13594\nRNA to MDQ: 14916\nRNA to TRS: 16012\nRNA to KRL: 10051\nRNA to KZI: 15563\nRNA to EPR: 6475\nKZI to CGR: 11077\nKZI to BIA: 2085\nKZI to VOG: 2350\nKZI to MDQ: 12864\nKZI to TRS: 1680\nKZI to KRL: 5854\nKZI to EPR: 13184\nMDQ to CGR: 2392\nMDQ to BIA: 11550\nMDQ to VOG: 14112\nMDQ to TRS: 11883\nMDQ to KRL: 17616\nMDQ to EPR: 16725\nEPR to CGR: 17236\nEPR to BIA: 14627\nEPR to VOG: 12201\nEPR to TRS: 14225\nEPR to KRL: 9724\nTRS to CGR: 10096\nTRS to BIA: 1139\nTRS to VOG: 2775\nTRS to KRL: 6231\nCGR to BIA: 9764\nCGR to VOG: 12491\nCGR to KRL: 16060\nKRL to BIA: 6740\nKRL to VOG: 3901\nBIA to VOG: 3209\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52341,
"style": "rule"
}
|
{
"exact_answer": 52341,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RNA\", \"id\": 0}, {\"name\": \"KZI\", \"id\": 1}, {\"name\": \"MDQ\", \"id\": 2}, {\"name\": \"EPR\", \"id\": 3}, {\"name\": \"TRS\", \"id\": 4}, {\"name\": \"CGR\", \"id\": 5}, {\"name\": \"KRL\", \"id\": 6}, {\"name\": \"BIA\", \"id\": 7}, {\"name\": \"VOG\", \"id\": 8}], \"links\": [{\"weight\": 16544, \"source\": 0, \"target\": 5}, {\"weight\": 16486, \"source\": 0, \"target\": 7}, {\"weight\": 13594, \"source\": 0, \"target\": 8}, {\"weight\": 14916, \"source\": 0, \"target\": 2}, {\"weight\": 16012, \"source\": 0, \"target\": 4}, {\"weight\": 10051, \"source\": 0, \"target\": 6}, {\"weight\": 15563, \"source\": 0, \"target\": 1}, {\"weight\": 6475, \"source\": 0, \"target\": 3}, {\"weight\": 11077, \"source\": 1, \"target\": 5}, {\"weight\": 2085, \"source\": 1, \"target\": 7}, {\"weight\": 2350, \"source\": 1, \"target\": 8}, {\"weight\": 12864, \"source\": 1, \"target\": 2}, {\"weight\": 1680, \"source\": 1, \"target\": 4}, {\"weight\": 5854, \"source\": 1, \"target\": 6}, {\"weight\": 13184, \"source\": 1, \"target\": 3}, {\"weight\": 2392, \"source\": 2, \"target\": 5}, {\"weight\": 11550, \"source\": 2, \"target\": 7}, {\"weight\": 14112, \"source\": 2, \"target\": 8}, {\"weight\": 11883, \"source\": 2, \"target\": 4}, {\"weight\": 17616, \"source\": 2, \"target\": 6}, {\"weight\": 16725, \"source\": 2, \"target\": 3}, {\"weight\": 17236, \"source\": 3, \"target\": 5}, {\"weight\": 14627, \"source\": 3, \"target\": 7}, {\"weight\": 12201, \"source\": 3, \"target\": 8}, {\"weight\": 14225, \"source\": 3, \"target\": 4}, {\"weight\": 9724, \"source\": 3, \"target\": 6}, {\"weight\": 10096, \"source\": 4, \"target\": 5}, {\"weight\": 1139, \"source\": 4, \"target\": 7}, {\"weight\": 2775, \"source\": 4, \"target\": 8}, {\"weight\": 6231, \"source\": 4, \"target\": 6}, {\"weight\": 9764, \"source\": 5, \"target\": 7}, {\"weight\": 12491, \"source\": 5, \"target\": 8}, {\"weight\": 16060, \"source\": 5, \"target\": 6}, {\"weight\": 6740, \"source\": 6, \"target\": 7}, {\"weight\": 3901, \"source\": 6, \"target\": 8}, {\"weight\": 3209, \"source\": 7, \"target\": 8}]}",
"id": 1156,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RNA, KZI, MDQ, EPR, TRS, CGR, KRL, BIA, VOG\n- Travel distances (in kilometers) between each pair of airports:\nRNA to CGR: 16544\nRNA to BIA: 16486\nRNA to VOG: 13594\nRNA to MDQ: 14916\nRNA to TRS: 16012\nRNA to KRL: 10051\nRNA to KZI: 15563\nRNA to EPR: 6475\nKZI to CGR: 11077\nKZI to BIA: 2085\nKZI to VOG: 2350\nKZI to MDQ: 12864\nKZI to TRS: 1680\nKZI to KRL: 5854\nKZI to EPR: 13184\nMDQ to CGR: 2392\nMDQ to BIA: 11550\nMDQ to VOG: 14112\nMDQ to TRS: 11883\nMDQ to KRL: 17616\nMDQ to EPR: 16725\nEPR to CGR: 17236\nEPR to BIA: 14627\nEPR to VOG: 12201\nEPR to TRS: 14225\nEPR to KRL: 9724\nTRS to CGR: 10096\nTRS to BIA: 1139\nTRS to VOG: 2775\nTRS to KRL: 6231\nCGR to BIA: 9764\nCGR to VOG: 12491\nCGR to KRL: 16060\nKRL to BIA: 6740\nKRL to VOG: 3901\nBIA to VOG: 3209\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JBR, BUF, PWQ, TWB, CJS, YAK, WUX, VLN, PEM\n- Travel distances (in kilometers) between each pair of airports:\nJBR to PEM: 7008\nJBR to WUX: 12316\nJBR to CJS: 2510\nJBR to VLN: 4213\nJBR to BUF: 1415\nJBR to YAK: 4847\nJBR to PWQ: 11487\nJBR to TWB: 14533\nBUF to PEM: 6987\nBUF to WUX: 12047\nBUF to CJS: 3249\nBUF to VLN: 3833\nBUF to YAK: 5199\nBUF to PWQ: 10450\nBUF to TWB: 15212\nPWQ to PEM: 16123\nPWQ to WUX: 5065\nPWQ to CJS: 13340\nPWQ to VLN: 12785\nPWQ to YAK: 13531\nPWQ to TWB: 12163\nTWB to PEM: 14810\nTWB to WUX: 7596\nTWB to CJS: 13058\nTWB to VLN: 17413\nTWB to YAK: 12742\nCJS to PEM: 6646\nCJS to WUX: 11858\nCJS to VLN: 4984\nCJS to YAK: 4575\nYAK to PEM: 10678\nYAK to WUX: 11144\nYAK to VLN: 8331\nWUX to PEM: 18209\nWUX to VLN: 15443\nVLN to PEM: 4008\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56710,
"style": "rule"
}
|
{
"exact_answer": 56710,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JBR\", \"id\": 0}, {\"name\": \"BUF\", \"id\": 1}, {\"name\": \"PWQ\", \"id\": 2}, {\"name\": \"TWB\", \"id\": 3}, {\"name\": \"CJS\", \"id\": 4}, {\"name\": \"YAK\", \"id\": 5}, {\"name\": \"WUX\", \"id\": 6}, {\"name\": \"VLN\", \"id\": 7}, {\"name\": \"PEM\", \"id\": 8}], \"links\": [{\"weight\": 7008, \"source\": 0, \"target\": 8}, {\"weight\": 12316, \"source\": 0, \"target\": 6}, {\"weight\": 2510, \"source\": 0, \"target\": 4}, {\"weight\": 4213, \"source\": 0, \"target\": 7}, {\"weight\": 1415, \"source\": 0, \"target\": 1}, {\"weight\": 4847, \"source\": 0, \"target\": 5}, {\"weight\": 11487, \"source\": 0, \"target\": 2}, {\"weight\": 14533, \"source\": 0, \"target\": 3}, {\"weight\": 6987, \"source\": 1, \"target\": 8}, {\"weight\": 12047, \"source\": 1, \"target\": 6}, {\"weight\": 3249, \"source\": 1, \"target\": 4}, {\"weight\": 3833, \"source\": 1, \"target\": 7}, {\"weight\": 5199, \"source\": 1, \"target\": 5}, {\"weight\": 10450, \"source\": 1, \"target\": 2}, {\"weight\": 15212, \"source\": 1, \"target\": 3}, {\"weight\": 16123, \"source\": 2, \"target\": 8}, {\"weight\": 5065, \"source\": 2, \"target\": 6}, {\"weight\": 13340, \"source\": 2, \"target\": 4}, {\"weight\": 12785, \"source\": 2, \"target\": 7}, {\"weight\": 13531, \"source\": 2, \"target\": 5}, {\"weight\": 12163, \"source\": 2, \"target\": 3}, {\"weight\": 14810, \"source\": 3, \"target\": 8}, {\"weight\": 7596, \"source\": 3, \"target\": 6}, {\"weight\": 13058, \"source\": 3, \"target\": 4}, {\"weight\": 17413, \"source\": 3, \"target\": 7}, {\"weight\": 12742, \"source\": 3, \"target\": 5}, {\"weight\": 6646, \"source\": 4, \"target\": 8}, {\"weight\": 11858, \"source\": 4, \"target\": 6}, {\"weight\": 4984, \"source\": 4, \"target\": 7}, {\"weight\": 4575, \"source\": 4, \"target\": 5}, {\"weight\": 10678, \"source\": 5, \"target\": 8}, {\"weight\": 11144, \"source\": 5, \"target\": 6}, {\"weight\": 8331, \"source\": 5, \"target\": 7}, {\"weight\": 18209, \"source\": 6, \"target\": 8}, {\"weight\": 15443, \"source\": 6, \"target\": 7}, {\"weight\": 4008, \"source\": 7, \"target\": 8}]}",
"id": 1157,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JBR, BUF, PWQ, TWB, CJS, YAK, WUX, VLN, PEM\n- Travel distances (in kilometers) between each pair of airports:\nJBR to PEM: 7008\nJBR to WUX: 12316\nJBR to CJS: 2510\nJBR to VLN: 4213\nJBR to BUF: 1415\nJBR to YAK: 4847\nJBR to PWQ: 11487\nJBR to TWB: 14533\nBUF to PEM: 6987\nBUF to WUX: 12047\nBUF to CJS: 3249\nBUF to VLN: 3833\nBUF to YAK: 5199\nBUF to PWQ: 10450\nBUF to TWB: 15212\nPWQ to PEM: 16123\nPWQ to WUX: 5065\nPWQ to CJS: 13340\nPWQ to VLN: 12785\nPWQ to YAK: 13531\nPWQ to TWB: 12163\nTWB to PEM: 14810\nTWB to WUX: 7596\nTWB to CJS: 13058\nTWB to VLN: 17413\nTWB to YAK: 12742\nCJS to PEM: 6646\nCJS to WUX: 11858\nCJS to VLN: 4984\nCJS to YAK: 4575\nYAK to PEM: 10678\nYAK to WUX: 11144\nYAK to VLN: 8331\nWUX to PEM: 18209\nWUX to VLN: 15443\nVLN to PEM: 4008\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HZH, MLY, DAX, ADK, KRK, GRX, LAR, MQM, KOS\n- Travel distances (in kilometers) between each pair of airports:\nHZH to KRK: 7901\nHZH to MLY: 13262\nHZH to ADK: 14907\nHZH to GRX: 10253\nHZH to DAX: 1514\nHZH to KOS: 2189\nHZH to MQM: 8091\nHZH to LAR: 12453\nMLY to KRK: 11326\nMLY to ADK: 2463\nMLY to GRX: 11800\nMLY to DAX: 12545\nMLY to KOS: 14771\nMLY to MQM: 13641\nMLY to LAR: 4419\nDAX to KRK: 8412\nDAX to ADK: 14190\nDAX to GRX: 10750\nDAX to KOS: 2448\nDAX to MQM: 8379\nDAX to LAR: 11736\nADK to KRK: 12971\nADK to GRX: 13445\nADK to KOS: 16416\nADK to MQM: 15286\nADK to LAR: 5958\nKRK to GRX: 2359\nKRK to KOS: 9028\nKRK to MQM: 2635\nKRK to LAR: 8830\nGRX to KOS: 11000\nGRX to MQM: 3956\nGRX to LAR: 8717\nLAR to KOS: 13975\nLAR to MQM: 11145\nMQM to KOS: 8555\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46935,
"style": "rule"
}
|
{
"exact_answer": 46935,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HZH\", \"id\": 0}, {\"name\": \"MLY\", \"id\": 1}, {\"name\": \"DAX\", \"id\": 2}, {\"name\": \"ADK\", \"id\": 3}, {\"name\": \"KRK\", \"id\": 4}, {\"name\": \"GRX\", \"id\": 5}, {\"name\": \"LAR\", \"id\": 6}, {\"name\": \"MQM\", \"id\": 7}, {\"name\": \"KOS\", \"id\": 8}], \"links\": [{\"weight\": 7901, \"source\": 0, \"target\": 4}, {\"weight\": 13262, \"source\": 0, \"target\": 1}, {\"weight\": 14907, \"source\": 0, \"target\": 3}, {\"weight\": 10253, \"source\": 0, \"target\": 5}, {\"weight\": 1514, \"source\": 0, \"target\": 2}, {\"weight\": 2189, \"source\": 0, \"target\": 8}, {\"weight\": 8091, \"source\": 0, \"target\": 7}, {\"weight\": 12453, \"source\": 0, \"target\": 6}, {\"weight\": 11326, \"source\": 1, \"target\": 4}, {\"weight\": 2463, \"source\": 1, \"target\": 3}, {\"weight\": 11800, \"source\": 1, \"target\": 5}, {\"weight\": 12545, \"source\": 1, \"target\": 2}, {\"weight\": 14771, \"source\": 1, \"target\": 8}, {\"weight\": 13641, \"source\": 1, \"target\": 7}, {\"weight\": 4419, \"source\": 1, \"target\": 6}, {\"weight\": 8412, \"source\": 2, \"target\": 4}, {\"weight\": 14190, \"source\": 2, \"target\": 3}, {\"weight\": 10750, \"source\": 2, \"target\": 5}, {\"weight\": 2448, \"source\": 2, \"target\": 8}, {\"weight\": 8379, \"source\": 2, \"target\": 7}, {\"weight\": 11736, \"source\": 2, \"target\": 6}, {\"weight\": 12971, \"source\": 3, \"target\": 4}, {\"weight\": 13445, \"source\": 3, \"target\": 5}, {\"weight\": 16416, \"source\": 3, \"target\": 8}, {\"weight\": 15286, \"source\": 3, \"target\": 7}, {\"weight\": 5958, \"source\": 3, \"target\": 6}, {\"weight\": 2359, \"source\": 4, \"target\": 5}, {\"weight\": 9028, \"source\": 4, \"target\": 8}, {\"weight\": 2635, \"source\": 4, \"target\": 7}, {\"weight\": 8830, \"source\": 4, \"target\": 6}, {\"weight\": 11000, \"source\": 5, \"target\": 8}, {\"weight\": 3956, \"source\": 5, \"target\": 7}, {\"weight\": 8717, \"source\": 5, \"target\": 6}, {\"weight\": 13975, \"source\": 6, \"target\": 8}, {\"weight\": 11145, \"source\": 6, \"target\": 7}, {\"weight\": 8555, \"source\": 7, \"target\": 8}]}",
"id": 1158,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HZH, MLY, DAX, ADK, KRK, GRX, LAR, MQM, KOS\n- Travel distances (in kilometers) between each pair of airports:\nHZH to KRK: 7901\nHZH to MLY: 13262\nHZH to ADK: 14907\nHZH to GRX: 10253\nHZH to DAX: 1514\nHZH to KOS: 2189\nHZH to MQM: 8091\nHZH to LAR: 12453\nMLY to KRK: 11326\nMLY to ADK: 2463\nMLY to GRX: 11800\nMLY to DAX: 12545\nMLY to KOS: 14771\nMLY to MQM: 13641\nMLY to LAR: 4419\nDAX to KRK: 8412\nDAX to ADK: 14190\nDAX to GRX: 10750\nDAX to KOS: 2448\nDAX to MQM: 8379\nDAX to LAR: 11736\nADK to KRK: 12971\nADK to GRX: 13445\nADK to KOS: 16416\nADK to MQM: 15286\nADK to LAR: 5958\nKRK to GRX: 2359\nKRK to KOS: 9028\nKRK to MQM: 2635\nKRK to LAR: 8830\nGRX to KOS: 11000\nGRX to MQM: 3956\nGRX to LAR: 8717\nLAR to KOS: 13975\nLAR to MQM: 11145\nMQM to KOS: 8555\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BIQ, DED, XBE, GSE, GWL, KLL, RVT, HVG, PQM\n- Travel distances (in kilometers) between each pair of airports:\nBIQ to PQM: 10448\nBIQ to DED: 7232\nBIQ to GWL: 8289\nBIQ to GSE: 1934\nBIQ to KLL: 11451\nBIQ to RVT: 14959\nBIQ to HVG: 3443\nBIQ to XBE: 8031\nDED to PQM: 15771\nDED to GWL: 2316\nDED to GSE: 6395\nDED to KLL: 15532\nDED to RVT: 8593\nDED to HVG: 6868\nDED to XBE: 13484\nXBE to PQM: 5162\nXBE to GWL: 15127\nXBE to GSE: 8112\nXBE to KLL: 5575\nXBE to RVT: 18592\nXBE to HVG: 8491\nGSE to PQM: 10356\nGSE to GWL: 7640\nGSE to KLL: 10979\nGSE to RVT: 14491\nGSE to HVG: 2024\nGWL to PQM: 17586\nGWL to KLL: 17274\nGWL to RVT: 9179\nGWL to HVG: 8579\nKLL to PQM: 7455\nKLL to RVT: 16591\nKLL to HVG: 11358\nRVT to PQM: 18909\nRVT to HVG: 15068\nHVG to PQM: 10950\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59560,
"style": "rule"
}
|
{
"exact_answer": 59560,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BIQ\", \"id\": 0}, {\"name\": \"DED\", \"id\": 1}, {\"name\": \"XBE\", \"id\": 2}, {\"name\": \"GSE\", \"id\": 3}, {\"name\": \"GWL\", \"id\": 4}, {\"name\": \"KLL\", \"id\": 5}, {\"name\": \"RVT\", \"id\": 6}, {\"name\": \"HVG\", \"id\": 7}, {\"name\": \"PQM\", \"id\": 8}], \"links\": [{\"weight\": 10448, \"source\": 0, \"target\": 8}, {\"weight\": 7232, \"source\": 0, \"target\": 1}, {\"weight\": 8289, \"source\": 0, \"target\": 4}, {\"weight\": 1934, \"source\": 0, \"target\": 3}, {\"weight\": 11451, \"source\": 0, \"target\": 5}, {\"weight\": 14959, \"source\": 0, \"target\": 6}, {\"weight\": 3443, \"source\": 0, \"target\": 7}, {\"weight\": 8031, \"source\": 0, \"target\": 2}, {\"weight\": 15771, \"source\": 1, \"target\": 8}, {\"weight\": 2316, \"source\": 1, \"target\": 4}, {\"weight\": 6395, \"source\": 1, \"target\": 3}, {\"weight\": 15532, \"source\": 1, \"target\": 5}, {\"weight\": 8593, \"source\": 1, \"target\": 6}, {\"weight\": 6868, \"source\": 1, \"target\": 7}, {\"weight\": 13484, \"source\": 1, \"target\": 2}, {\"weight\": 5162, \"source\": 2, \"target\": 8}, {\"weight\": 15127, \"source\": 2, \"target\": 4}, {\"weight\": 8112, \"source\": 2, \"target\": 3}, {\"weight\": 5575, \"source\": 2, \"target\": 5}, {\"weight\": 18592, \"source\": 2, \"target\": 6}, {\"weight\": 8491, \"source\": 2, \"target\": 7}, {\"weight\": 10356, \"source\": 3, \"target\": 8}, {\"weight\": 7640, \"source\": 3, \"target\": 4}, {\"weight\": 10979, \"source\": 3, \"target\": 5}, {\"weight\": 14491, \"source\": 3, \"target\": 6}, {\"weight\": 2024, \"source\": 3, \"target\": 7}, {\"weight\": 17586, \"source\": 4, \"target\": 8}, {\"weight\": 17274, \"source\": 4, \"target\": 5}, {\"weight\": 9179, \"source\": 4, \"target\": 6}, {\"weight\": 8579, \"source\": 4, \"target\": 7}, {\"weight\": 7455, \"source\": 5, \"target\": 8}, {\"weight\": 16591, \"source\": 5, \"target\": 6}, {\"weight\": 11358, \"source\": 5, \"target\": 7}, {\"weight\": 18909, \"source\": 6, \"target\": 8}, {\"weight\": 15068, \"source\": 6, \"target\": 7}, {\"weight\": 10950, \"source\": 7, \"target\": 8}]}",
"id": 1159,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BIQ, DED, XBE, GSE, GWL, KLL, RVT, HVG, PQM\n- Travel distances (in kilometers) between each pair of airports:\nBIQ to PQM: 10448\nBIQ to DED: 7232\nBIQ to GWL: 8289\nBIQ to GSE: 1934\nBIQ to KLL: 11451\nBIQ to RVT: 14959\nBIQ to HVG: 3443\nBIQ to XBE: 8031\nDED to PQM: 15771\nDED to GWL: 2316\nDED to GSE: 6395\nDED to KLL: 15532\nDED to RVT: 8593\nDED to HVG: 6868\nDED to XBE: 13484\nXBE to PQM: 5162\nXBE to GWL: 15127\nXBE to GSE: 8112\nXBE to KLL: 5575\nXBE to RVT: 18592\nXBE to HVG: 8491\nGSE to PQM: 10356\nGSE to GWL: 7640\nGSE to KLL: 10979\nGSE to RVT: 14491\nGSE to HVG: 2024\nGWL to PQM: 17586\nGWL to KLL: 17274\nGWL to RVT: 9179\nGWL to HVG: 8579\nKLL to PQM: 7455\nKLL to RVT: 16591\nKLL to HVG: 11358\nRVT to PQM: 18909\nRVT to HVG: 15068\nHVG to PQM: 10950\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSM, BNE, NAV, UAK, PMW, ALG, MDE, JHM, EBA\n- Travel distances (in kilometers) between each pair of airports:\nYSM to PMW: 9979\nYSM to EBA: 8840\nYSM to ALG: 9190\nYSM to MDE: 7093\nYSM to BNE: 13437\nYSM to UAK: 7536\nYSM to JHM: 6020\nYSM to NAV: 10355\nBNE to PMW: 16035\nBNE to EBA: 16600\nBNE to ALG: 17027\nBNE to MDE: 16412\nBNE to UAK: 19062\nBNE to JHM: 7687\nBNE to NAV: 15249\nNAV to PMW: 10998\nNAV to EBA: 2746\nNAV to ALG: 2811\nNAV to MDE: 11288\nNAV to UAK: 6545\nNAV to JHM: 14900\nUAK to PMW: 12266\nUAK to EBA: 5030\nUAK to ALG: 5380\nUAK to MDE: 9862\nUAK to JHM: 12081\nPMW to EBA: 9640\nPMW to ALG: 8195\nPMW to MDE: 4555\nPMW to JHM: 13458\nALG to EBA: 1733\nALG to MDE: 8660\nALG to JHM: 13725\nMDE to EBA: 9631\nMDE to JHM: 9564\nJHM to EBA: 13335\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60992,
"style": "rule"
}
|
{
"exact_answer": 60992,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YSM\", \"id\": 0}, {\"name\": \"BNE\", \"id\": 1}, {\"name\": \"NAV\", \"id\": 2}, {\"name\": \"UAK\", \"id\": 3}, {\"name\": \"PMW\", \"id\": 4}, {\"name\": \"ALG\", \"id\": 5}, {\"name\": \"MDE\", \"id\": 6}, {\"name\": \"JHM\", \"id\": 7}, {\"name\": \"EBA\", \"id\": 8}], \"links\": [{\"weight\": 9979, \"source\": 0, \"target\": 4}, {\"weight\": 8840, \"source\": 0, \"target\": 8}, {\"weight\": 9190, \"source\": 0, \"target\": 5}, {\"weight\": 7093, \"source\": 0, \"target\": 6}, {\"weight\": 13437, \"source\": 0, \"target\": 1}, {\"weight\": 7536, \"source\": 0, \"target\": 3}, {\"weight\": 6020, \"source\": 0, \"target\": 7}, {\"weight\": 10355, \"source\": 0, \"target\": 2}, {\"weight\": 16035, \"source\": 1, \"target\": 4}, {\"weight\": 16600, \"source\": 1, \"target\": 8}, {\"weight\": 17027, \"source\": 1, \"target\": 5}, {\"weight\": 16412, \"source\": 1, \"target\": 6}, {\"weight\": 19062, \"source\": 1, \"target\": 3}, {\"weight\": 7687, \"source\": 1, \"target\": 7}, {\"weight\": 15249, \"source\": 1, \"target\": 2}, {\"weight\": 10998, \"source\": 2, \"target\": 4}, {\"weight\": 2746, \"source\": 2, \"target\": 8}, {\"weight\": 2811, \"source\": 2, \"target\": 5}, {\"weight\": 11288, \"source\": 2, \"target\": 6}, {\"weight\": 6545, \"source\": 2, \"target\": 3}, {\"weight\": 14900, \"source\": 2, \"target\": 7}, {\"weight\": 12266, \"source\": 3, \"target\": 4}, {\"weight\": 5030, \"source\": 3, \"target\": 8}, {\"weight\": 5380, \"source\": 3, \"target\": 5}, {\"weight\": 9862, \"source\": 3, \"target\": 6}, {\"weight\": 12081, \"source\": 3, \"target\": 7}, {\"weight\": 9640, \"source\": 4, \"target\": 8}, {\"weight\": 8195, \"source\": 4, \"target\": 5}, {\"weight\": 4555, \"source\": 4, \"target\": 6}, {\"weight\": 13458, \"source\": 4, \"target\": 7}, {\"weight\": 1733, \"source\": 5, \"target\": 8}, {\"weight\": 8660, \"source\": 5, \"target\": 6}, {\"weight\": 13725, \"source\": 5, \"target\": 7}, {\"weight\": 9631, \"source\": 6, \"target\": 8}, {\"weight\": 9564, \"source\": 6, \"target\": 7}, {\"weight\": 13335, \"source\": 7, \"target\": 8}]}",
"id": 1160,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YSM, BNE, NAV, UAK, PMW, ALG, MDE, JHM, EBA\n- Travel distances (in kilometers) between each pair of airports:\nYSM to PMW: 9979\nYSM to EBA: 8840\nYSM to ALG: 9190\nYSM to MDE: 7093\nYSM to BNE: 13437\nYSM to UAK: 7536\nYSM to JHM: 6020\nYSM to NAV: 10355\nBNE to PMW: 16035\nBNE to EBA: 16600\nBNE to ALG: 17027\nBNE to MDE: 16412\nBNE to UAK: 19062\nBNE to JHM: 7687\nBNE to NAV: 15249\nNAV to PMW: 10998\nNAV to EBA: 2746\nNAV to ALG: 2811\nNAV to MDE: 11288\nNAV to UAK: 6545\nNAV to JHM: 14900\nUAK to PMW: 12266\nUAK to EBA: 5030\nUAK to ALG: 5380\nUAK to MDE: 9862\nUAK to JHM: 12081\nPMW to EBA: 9640\nPMW to ALG: 8195\nPMW to MDE: 4555\nPMW to JHM: 13458\nALG to EBA: 1733\nALG to MDE: 8660\nALG to JHM: 13725\nMDE to EBA: 9631\nMDE to JHM: 9564\nJHM to EBA: 13335\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNF, ULB, EGO, MKQ, MQJ, PHB, BDL, NUL, VCT\n- Travel distances (in kilometers) between each pair of airports:\nCNF to EGO: 11457\nCNF to NUL: 13716\nCNF to BDL: 7709\nCNF to PHB: 2183\nCNF to MKQ: 21386\nCNF to VCT: 8074\nCNF to ULB: 15150\nCNF to MQJ: 16689\nULB to EGO: 15191\nULB to NUL: 11597\nULB to BDL: 14065\nULB to PHB: 17003\nULB to MKQ: 9919\nULB to VCT: 12418\nULB to MQJ: 11489\nEGO to NUL: 12590\nEGO to BDL: 8198\nEGO to PHB: 9998\nEGO to MKQ: 13278\nEGO to VCT: 10263\nEGO to MQJ: 6241\nMKQ to NUL: 19088\nMKQ to BDL: 19221\nMKQ to PHB: 21929\nMKQ to VCT: 19355\nMKQ to MQJ: 11519\nMQJ to NUL: 14432\nMQJ to BDL: 13010\nMQJ to PHB: 15230\nMQJ to VCT: 14699\nPHB to NUL: 12797\nPHB to BDL: 6699\nPHB to VCT: 7345\nBDL to NUL: 6628\nBDL to VCT: 2633\nNUL to VCT: 6153\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67952,
"style": "rule"
}
|
{
"exact_answer": 67952,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CNF\", \"id\": 0}, {\"name\": \"ULB\", \"id\": 1}, {\"name\": \"EGO\", \"id\": 2}, {\"name\": \"MKQ\", \"id\": 3}, {\"name\": \"MQJ\", \"id\": 4}, {\"name\": \"PHB\", \"id\": 5}, {\"name\": \"BDL\", \"id\": 6}, {\"name\": \"NUL\", \"id\": 7}, {\"name\": \"VCT\", \"id\": 8}], \"links\": [{\"weight\": 11457, \"source\": 0, \"target\": 2}, {\"weight\": 13716, \"source\": 0, \"target\": 7}, {\"weight\": 7709, \"source\": 0, \"target\": 6}, {\"weight\": 2183, \"source\": 0, \"target\": 5}, {\"weight\": 21386, \"source\": 0, \"target\": 3}, {\"weight\": 8074, \"source\": 0, \"target\": 8}, {\"weight\": 15150, \"source\": 0, \"target\": 1}, {\"weight\": 16689, \"source\": 0, \"target\": 4}, {\"weight\": 15191, \"source\": 1, \"target\": 2}, {\"weight\": 11597, \"source\": 1, \"target\": 7}, {\"weight\": 14065, \"source\": 1, \"target\": 6}, {\"weight\": 17003, \"source\": 1, \"target\": 5}, {\"weight\": 9919, \"source\": 1, \"target\": 3}, {\"weight\": 12418, \"source\": 1, \"target\": 8}, {\"weight\": 11489, \"source\": 1, \"target\": 4}, {\"weight\": 12590, \"source\": 2, \"target\": 7}, {\"weight\": 8198, \"source\": 2, \"target\": 6}, {\"weight\": 9998, \"source\": 2, \"target\": 5}, {\"weight\": 13278, \"source\": 2, \"target\": 3}, {\"weight\": 10263, \"source\": 2, \"target\": 8}, {\"weight\": 6241, \"source\": 2, \"target\": 4}, {\"weight\": 19088, \"source\": 3, \"target\": 7}, {\"weight\": 19221, \"source\": 3, \"target\": 6}, {\"weight\": 21929, \"source\": 3, \"target\": 5}, {\"weight\": 19355, \"source\": 3, \"target\": 8}, {\"weight\": 11519, \"source\": 3, \"target\": 4}, {\"weight\": 14432, \"source\": 4, \"target\": 7}, {\"weight\": 13010, \"source\": 4, \"target\": 6}, {\"weight\": 15230, \"source\": 4, \"target\": 5}, {\"weight\": 14699, \"source\": 4, \"target\": 8}, {\"weight\": 12797, \"source\": 5, \"target\": 7}, {\"weight\": 6699, \"source\": 5, \"target\": 6}, {\"weight\": 7345, \"source\": 5, \"target\": 8}, {\"weight\": 6628, \"source\": 6, \"target\": 7}, {\"weight\": 2633, \"source\": 6, \"target\": 8}, {\"weight\": 6153, \"source\": 7, \"target\": 8}]}",
"id": 1161,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CNF, ULB, EGO, MKQ, MQJ, PHB, BDL, NUL, VCT\n- Travel distances (in kilometers) between each pair of airports:\nCNF to EGO: 11457\nCNF to NUL: 13716\nCNF to BDL: 7709\nCNF to PHB: 2183\nCNF to MKQ: 21386\nCNF to VCT: 8074\nCNF to ULB: 15150\nCNF to MQJ: 16689\nULB to EGO: 15191\nULB to NUL: 11597\nULB to BDL: 14065\nULB to PHB: 17003\nULB to MKQ: 9919\nULB to VCT: 12418\nULB to MQJ: 11489\nEGO to NUL: 12590\nEGO to BDL: 8198\nEGO to PHB: 9998\nEGO to MKQ: 13278\nEGO to VCT: 10263\nEGO to MQJ: 6241\nMKQ to NUL: 19088\nMKQ to BDL: 19221\nMKQ to PHB: 21929\nMKQ to VCT: 19355\nMKQ to MQJ: 11519\nMQJ to NUL: 14432\nMQJ to BDL: 13010\nMQJ to PHB: 15230\nMQJ to VCT: 14699\nPHB to NUL: 12797\nPHB to BDL: 6699\nPHB to VCT: 7345\nBDL to NUL: 6628\nBDL to VCT: 2633\nNUL to VCT: 6153\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LET, AFL, AHB, YFA, DOH, KPN, BUS, JLN, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nLET to KPN: 10712\nLET to DOH: 14434\nLET to BUS: 12898\nLET to JLN: 5552\nLET to AFL: 6608\nLET to PAZ: 4464\nLET to AHB: 14006\nLET to YFA: 6453\nAFL to KPN: 13674\nAFL to DOH: 13768\nAFL to BUS: 12846\nAFL to JLN: 8752\nAFL to PAZ: 7701\nAFL to AHB: 12971\nAFL to YFA: 9333\nAHB to KPN: 15921\nAHB to DOH: 1346\nAHB to BUS: 3390\nAHB to JLN: 13423\nAHB to PAZ: 14280\nAHB to YFA: 11531\nYFA to KPN: 6651\nYFA to DOH: 11465\nYFA to BUS: 9665\nYFA to JLN: 3447\nYFA to PAZ: 4451\nDOH to KPN: 15425\nDOH to BUS: 2307\nDOH to JLN: 13273\nDOH to PAZ: 14328\nKPN to BUS: 13644\nKPN to JLN: 6212\nKPN to PAZ: 7120\nBUS to JLN: 11252\nBUS to PAZ: 12345\nJLN to PAZ: 2248\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52472,
"style": "rule"
}
|
{
"exact_answer": 52472,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LET\", \"id\": 0}, {\"name\": \"AFL\", \"id\": 1}, {\"name\": \"AHB\", \"id\": 2}, {\"name\": \"YFA\", \"id\": 3}, {\"name\": \"DOH\", \"id\": 4}, {\"name\": \"KPN\", \"id\": 5}, {\"name\": \"BUS\", \"id\": 6}, {\"name\": \"JLN\", \"id\": 7}, {\"name\": \"PAZ\", \"id\": 8}], \"links\": [{\"weight\": 10712, \"source\": 0, \"target\": 5}, {\"weight\": 14434, \"source\": 0, \"target\": 4}, {\"weight\": 12898, \"source\": 0, \"target\": 6}, {\"weight\": 5552, \"source\": 0, \"target\": 7}, {\"weight\": 6608, \"source\": 0, \"target\": 1}, {\"weight\": 4464, \"source\": 0, \"target\": 8}, {\"weight\": 14006, \"source\": 0, \"target\": 2}, {\"weight\": 6453, \"source\": 0, \"target\": 3}, {\"weight\": 13674, \"source\": 1, \"target\": 5}, {\"weight\": 13768, \"source\": 1, \"target\": 4}, {\"weight\": 12846, \"source\": 1, \"target\": 6}, {\"weight\": 8752, \"source\": 1, \"target\": 7}, {\"weight\": 7701, \"source\": 1, \"target\": 8}, {\"weight\": 12971, \"source\": 1, \"target\": 2}, {\"weight\": 9333, \"source\": 1, \"target\": 3}, {\"weight\": 15921, \"source\": 2, \"target\": 5}, {\"weight\": 1346, \"source\": 2, \"target\": 4}, {\"weight\": 3390, \"source\": 2, \"target\": 6}, {\"weight\": 13423, \"source\": 2, \"target\": 7}, {\"weight\": 14280, \"source\": 2, \"target\": 8}, {\"weight\": 11531, \"source\": 2, \"target\": 3}, {\"weight\": 6651, \"source\": 3, \"target\": 5}, {\"weight\": 11465, \"source\": 3, \"target\": 4}, {\"weight\": 9665, \"source\": 3, \"target\": 6}, {\"weight\": 3447, \"source\": 3, \"target\": 7}, {\"weight\": 4451, \"source\": 3, \"target\": 8}, {\"weight\": 15425, \"source\": 4, \"target\": 5}, {\"weight\": 2307, \"source\": 4, \"target\": 6}, {\"weight\": 13273, \"source\": 4, \"target\": 7}, {\"weight\": 14328, \"source\": 4, \"target\": 8}, {\"weight\": 13644, \"source\": 5, \"target\": 6}, {\"weight\": 6212, \"source\": 5, \"target\": 7}, {\"weight\": 7120, \"source\": 5, \"target\": 8}, {\"weight\": 11252, \"source\": 6, \"target\": 7}, {\"weight\": 12345, \"source\": 6, \"target\": 8}, {\"weight\": 2248, \"source\": 7, \"target\": 8}]}",
"id": 1162,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LET, AFL, AHB, YFA, DOH, KPN, BUS, JLN, PAZ\n- Travel distances (in kilometers) between each pair of airports:\nLET to KPN: 10712\nLET to DOH: 14434\nLET to BUS: 12898\nLET to JLN: 5552\nLET to AFL: 6608\nLET to PAZ: 4464\nLET to AHB: 14006\nLET to YFA: 6453\nAFL to KPN: 13674\nAFL to DOH: 13768\nAFL to BUS: 12846\nAFL to JLN: 8752\nAFL to PAZ: 7701\nAFL to AHB: 12971\nAFL to YFA: 9333\nAHB to KPN: 15921\nAHB to DOH: 1346\nAHB to BUS: 3390\nAHB to JLN: 13423\nAHB to PAZ: 14280\nAHB to YFA: 11531\nYFA to KPN: 6651\nYFA to DOH: 11465\nYFA to BUS: 9665\nYFA to JLN: 3447\nYFA to PAZ: 4451\nDOH to KPN: 15425\nDOH to BUS: 2307\nDOH to JLN: 13273\nDOH to PAZ: 14328\nKPN to BUS: 13644\nKPN to JLN: 6212\nKPN to PAZ: 7120\nBUS to JLN: 11252\nBUS to PAZ: 12345\nJLN to PAZ: 2248\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKO, KRR, AGA, HUI, DMU, BAX, YFJ, LOH, GSP\n- Travel distances (in kilometers) between each pair of airports:\nSKO to KRR: 5597\nSKO to YFJ: 12772\nSKO to GSP: 10415\nSKO to DMU: 9883\nSKO to AGA: 4034\nSKO to LOH: 12115\nSKO to BAX: 9267\nSKO to HUI: 11893\nKRR to YFJ: 10425\nKRR to GSP: 9391\nKRR to DMU: 5852\nKRR to AGA: 4626\nKRR to LOH: 12594\nKRR to BAX: 4066\nKRR to HUI: 7557\nAGA to YFJ: 9496\nAGA to GSP: 7151\nAGA to DMU: 10206\nAGA to LOH: 8554\nAGA to BAX: 7534\nAGA to HUI: 11888\nHUI to YFJ: 13416\nHUI to GSP: 14370\nHUI to DMU: 3368\nHUI to LOH: 18629\nHUI to BAX: 10174\nDMU to YFJ: 14749\nDMU to GSP: 14659\nDMU to LOH: 18322\nDMU to BAX: 9177\nBAX to YFJ: 12373\nBAX to GSP: 11352\nBAX to LOH: 14993\nYFJ to GSP: 4419\nYFJ to LOH: 8358\nLOH to GSP: 4350\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56981,
"style": "rule"
}
|
{
"exact_answer": 56981,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SKO\", \"id\": 0}, {\"name\": \"KRR\", \"id\": 1}, {\"name\": \"AGA\", \"id\": 2}, {\"name\": \"HUI\", \"id\": 3}, {\"name\": \"DMU\", \"id\": 4}, {\"name\": \"BAX\", \"id\": 5}, {\"name\": \"YFJ\", \"id\": 6}, {\"name\": \"LOH\", \"id\": 7}, {\"name\": \"GSP\", \"id\": 8}], \"links\": [{\"weight\": 5597, \"source\": 0, \"target\": 1}, {\"weight\": 12772, \"source\": 0, \"target\": 6}, {\"weight\": 10415, \"source\": 0, \"target\": 8}, {\"weight\": 9883, \"source\": 0, \"target\": 4}, {\"weight\": 4034, \"source\": 0, \"target\": 2}, {\"weight\": 12115, \"source\": 0, \"target\": 7}, {\"weight\": 9267, \"source\": 0, \"target\": 5}, {\"weight\": 11893, \"source\": 0, \"target\": 3}, {\"weight\": 10425, \"source\": 1, \"target\": 6}, {\"weight\": 9391, \"source\": 1, \"target\": 8}, {\"weight\": 5852, \"source\": 1, \"target\": 4}, {\"weight\": 4626, \"source\": 1, \"target\": 2}, {\"weight\": 12594, \"source\": 1, \"target\": 7}, {\"weight\": 4066, \"source\": 1, \"target\": 5}, {\"weight\": 7557, \"source\": 1, \"target\": 3}, {\"weight\": 9496, \"source\": 2, \"target\": 6}, {\"weight\": 7151, \"source\": 2, \"target\": 8}, {\"weight\": 10206, \"source\": 2, \"target\": 4}, {\"weight\": 8554, \"source\": 2, \"target\": 7}, {\"weight\": 7534, \"source\": 2, \"target\": 5}, {\"weight\": 11888, \"source\": 2, \"target\": 3}, {\"weight\": 13416, \"source\": 3, \"target\": 6}, {\"weight\": 14370, \"source\": 3, \"target\": 8}, {\"weight\": 3368, \"source\": 3, \"target\": 4}, {\"weight\": 18629, \"source\": 3, \"target\": 7}, {\"weight\": 10174, \"source\": 3, \"target\": 5}, {\"weight\": 14749, \"source\": 4, \"target\": 6}, {\"weight\": 14659, \"source\": 4, \"target\": 8}, {\"weight\": 18322, \"source\": 4, \"target\": 7}, {\"weight\": 9177, \"source\": 4, \"target\": 5}, {\"weight\": 12373, \"source\": 5, \"target\": 6}, {\"weight\": 11352, \"source\": 5, \"target\": 8}, {\"weight\": 14993, \"source\": 5, \"target\": 7}, {\"weight\": 4419, \"source\": 6, \"target\": 8}, {\"weight\": 8358, \"source\": 6, \"target\": 7}, {\"weight\": 4350, \"source\": 7, \"target\": 8}]}",
"id": 1163,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKO, KRR, AGA, HUI, DMU, BAX, YFJ, LOH, GSP\n- Travel distances (in kilometers) between each pair of airports:\nSKO to KRR: 5597\nSKO to YFJ: 12772\nSKO to GSP: 10415\nSKO to DMU: 9883\nSKO to AGA: 4034\nSKO to LOH: 12115\nSKO to BAX: 9267\nSKO to HUI: 11893\nKRR to YFJ: 10425\nKRR to GSP: 9391\nKRR to DMU: 5852\nKRR to AGA: 4626\nKRR to LOH: 12594\nKRR to BAX: 4066\nKRR to HUI: 7557\nAGA to YFJ: 9496\nAGA to GSP: 7151\nAGA to DMU: 10206\nAGA to LOH: 8554\nAGA to BAX: 7534\nAGA to HUI: 11888\nHUI to YFJ: 13416\nHUI to GSP: 14370\nHUI to DMU: 3368\nHUI to LOH: 18629\nHUI to BAX: 10174\nDMU to YFJ: 14749\nDMU to GSP: 14659\nDMU to LOH: 18322\nDMU to BAX: 9177\nBAX to YFJ: 12373\nBAX to GSP: 11352\nBAX to LOH: 14993\nYFJ to GSP: 4419\nYFJ to LOH: 8358\nLOH to GSP: 4350\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DCN, HIA, GOV, AVL, DOB, YGT, CJL, MOF, WDH\n- Travel distances (in kilometers) between each pair of airports:\nDCN to YGT: 22283\nDCN to HIA: 9139\nDCN to AVL: 20190\nDCN to WDH: 11255\nDCN to GOV: 5078\nDCN to DOB: 6585\nDCN to MOF: 5138\nDCN to CJL: 10752\nHIA to YGT: 14225\nHIA to AVL: 12167\nHIA to WDH: 12656\nHIA to GOV: 5953\nHIA to DOB: 6213\nHIA to MOF: 5555\nHIA to CJL: 4938\nGOV to YGT: 19250\nGOV to AVL: 17282\nGOV to WDH: 12771\nGOV to DOB: 4723\nGOV to MOF: 3186\nGOV to CJL: 9102\nAVL to YGT: 4305\nAVL to WDH: 12877\nAVL to DOB: 18097\nAVL to MOF: 17323\nAVL to CJL: 12356\nDOB to YGT: 19567\nDOB to WDH: 13370\nDOB to MOF: 3091\nDOB to CJL: 8667\nYGT to WDH: 15245\nYGT to MOF: 18756\nYGT to CJL: 13290\nCJL to WDH: 8816\nCJL to MOF: 7566\nMOF to WDH: 12269\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64233,
"style": "rule"
}
|
{
"exact_answer": 64233,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DCN\", \"id\": 0}, {\"name\": \"HIA\", \"id\": 1}, {\"name\": \"GOV\", \"id\": 2}, {\"name\": \"AVL\", \"id\": 3}, {\"name\": \"DOB\", \"id\": 4}, {\"name\": \"YGT\", \"id\": 5}, {\"name\": \"CJL\", \"id\": 6}, {\"name\": \"MOF\", \"id\": 7}, {\"name\": \"WDH\", \"id\": 8}], \"links\": [{\"weight\": 22283, \"source\": 0, \"target\": 5}, {\"weight\": 9139, \"source\": 0, \"target\": 1}, {\"weight\": 20190, \"source\": 0, \"target\": 3}, {\"weight\": 11255, \"source\": 0, \"target\": 8}, {\"weight\": 5078, \"source\": 0, \"target\": 2}, {\"weight\": 6585, \"source\": 0, \"target\": 4}, {\"weight\": 5138, \"source\": 0, \"target\": 7}, {\"weight\": 10752, \"source\": 0, \"target\": 6}, {\"weight\": 14225, \"source\": 1, \"target\": 5}, {\"weight\": 12167, \"source\": 1, \"target\": 3}, {\"weight\": 12656, \"source\": 1, \"target\": 8}, {\"weight\": 5953, \"source\": 1, \"target\": 2}, {\"weight\": 6213, \"source\": 1, \"target\": 4}, {\"weight\": 5555, \"source\": 1, \"target\": 7}, {\"weight\": 4938, \"source\": 1, \"target\": 6}, {\"weight\": 19250, \"source\": 2, \"target\": 5}, {\"weight\": 17282, \"source\": 2, \"target\": 3}, {\"weight\": 12771, \"source\": 2, \"target\": 8}, {\"weight\": 4723, \"source\": 2, \"target\": 4}, {\"weight\": 3186, \"source\": 2, \"target\": 7}, {\"weight\": 9102, \"source\": 2, \"target\": 6}, {\"weight\": 4305, \"source\": 3, \"target\": 5}, {\"weight\": 12877, \"source\": 3, \"target\": 8}, {\"weight\": 18097, \"source\": 3, \"target\": 4}, {\"weight\": 17323, \"source\": 3, \"target\": 7}, {\"weight\": 12356, \"source\": 3, \"target\": 6}, {\"weight\": 19567, \"source\": 4, \"target\": 5}, {\"weight\": 13370, \"source\": 4, \"target\": 8}, {\"weight\": 3091, \"source\": 4, \"target\": 7}, {\"weight\": 8667, \"source\": 4, \"target\": 6}, {\"weight\": 15245, \"source\": 5, \"target\": 8}, {\"weight\": 18756, \"source\": 5, \"target\": 7}, {\"weight\": 13290, \"source\": 5, \"target\": 6}, {\"weight\": 8816, \"source\": 6, \"target\": 8}, {\"weight\": 7566, \"source\": 6, \"target\": 7}, {\"weight\": 12269, \"source\": 7, \"target\": 8}]}",
"id": 1164,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DCN, HIA, GOV, AVL, DOB, YGT, CJL, MOF, WDH\n- Travel distances (in kilometers) between each pair of airports:\nDCN to YGT: 22283\nDCN to HIA: 9139\nDCN to AVL: 20190\nDCN to WDH: 11255\nDCN to GOV: 5078\nDCN to DOB: 6585\nDCN to MOF: 5138\nDCN to CJL: 10752\nHIA to YGT: 14225\nHIA to AVL: 12167\nHIA to WDH: 12656\nHIA to GOV: 5953\nHIA to DOB: 6213\nHIA to MOF: 5555\nHIA to CJL: 4938\nGOV to YGT: 19250\nGOV to AVL: 17282\nGOV to WDH: 12771\nGOV to DOB: 4723\nGOV to MOF: 3186\nGOV to CJL: 9102\nAVL to YGT: 4305\nAVL to WDH: 12877\nAVL to DOB: 18097\nAVL to MOF: 17323\nAVL to CJL: 12356\nDOB to YGT: 19567\nDOB to WDH: 13370\nDOB to MOF: 3091\nDOB to CJL: 8667\nYGT to WDH: 15245\nYGT to MOF: 18756\nYGT to CJL: 13290\nCJL to WDH: 8816\nCJL to MOF: 7566\nMOF to WDH: 12269\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOM, PTH, RBQ, OGM, TLN, EDL, MJN, VDH, YLE\n- Travel distances (in kilometers) between each pair of airports:\nGOM to EDL: 4263\nGOM to OGM: 14860\nGOM to YLE: 15519\nGOM to TLN: 8780\nGOM to PTH: 18226\nGOM to MJN: 5701\nGOM to VDH: 12634\nGOM to RBQ: 11307\nPTH to EDL: 17792\nPTH to OGM: 9161\nPTH to YLE: 5089\nPTH to TLN: 11768\nPTH to MJN: 19436\nPTH to VDH: 14442\nPTH to RBQ: 12205\nRBQ to EDL: 12188\nRBQ to OGM: 4621\nRBQ to YLE: 10395\nRBQ to TLN: 11428\nRBQ to MJN: 12575\nRBQ to VDH: 20257\nOGM to EDL: 15741\nOGM to YLE: 7384\nOGM to TLN: 10409\nOGM to MJN: 16256\nOGM to VDH: 17536\nTLN to EDL: 7662\nTLN to YLE: 9045\nTLN to MJN: 9062\nTLN to VDH: 10309\nEDL to YLE: 15084\nEDL to MJN: 2180\nEDL to VDH: 8907\nMJN to YLE: 16728\nMJN to VDH: 8644\nVDH to YLE: 13234\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64619,
"style": "rule"
}
|
{
"exact_answer": 64619,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GOM\", \"id\": 0}, {\"name\": \"PTH\", \"id\": 1}, {\"name\": \"RBQ\", \"id\": 2}, {\"name\": \"OGM\", \"id\": 3}, {\"name\": \"TLN\", \"id\": 4}, {\"name\": \"EDL\", \"id\": 5}, {\"name\": \"MJN\", \"id\": 6}, {\"name\": \"VDH\", \"id\": 7}, {\"name\": \"YLE\", \"id\": 8}], \"links\": [{\"weight\": 4263, \"source\": 0, \"target\": 5}, {\"weight\": 14860, \"source\": 0, \"target\": 3}, {\"weight\": 15519, \"source\": 0, \"target\": 8}, {\"weight\": 8780, \"source\": 0, \"target\": 4}, {\"weight\": 18226, \"source\": 0, \"target\": 1}, {\"weight\": 5701, \"source\": 0, \"target\": 6}, {\"weight\": 12634, \"source\": 0, \"target\": 7}, {\"weight\": 11307, \"source\": 0, \"target\": 2}, {\"weight\": 17792, \"source\": 1, \"target\": 5}, {\"weight\": 9161, \"source\": 1, \"target\": 3}, {\"weight\": 5089, \"source\": 1, \"target\": 8}, {\"weight\": 11768, \"source\": 1, \"target\": 4}, {\"weight\": 19436, \"source\": 1, \"target\": 6}, {\"weight\": 14442, \"source\": 1, \"target\": 7}, {\"weight\": 12205, \"source\": 1, \"target\": 2}, {\"weight\": 12188, \"source\": 2, \"target\": 5}, {\"weight\": 4621, \"source\": 2, \"target\": 3}, {\"weight\": 10395, \"source\": 2, \"target\": 8}, {\"weight\": 11428, \"source\": 2, \"target\": 4}, {\"weight\": 12575, \"source\": 2, \"target\": 6}, {\"weight\": 20257, \"source\": 2, \"target\": 7}, {\"weight\": 15741, \"source\": 3, \"target\": 5}, {\"weight\": 7384, \"source\": 3, \"target\": 8}, {\"weight\": 10409, \"source\": 3, \"target\": 4}, {\"weight\": 16256, \"source\": 3, \"target\": 6}, {\"weight\": 17536, \"source\": 3, \"target\": 7}, {\"weight\": 7662, \"source\": 4, \"target\": 5}, {\"weight\": 9045, \"source\": 4, \"target\": 8}, {\"weight\": 9062, \"source\": 4, \"target\": 6}, {\"weight\": 10309, \"source\": 4, \"target\": 7}, {\"weight\": 15084, \"source\": 5, \"target\": 8}, {\"weight\": 2180, \"source\": 5, \"target\": 6}, {\"weight\": 8907, \"source\": 5, \"target\": 7}, {\"weight\": 16728, \"source\": 6, \"target\": 8}, {\"weight\": 8644, \"source\": 6, \"target\": 7}, {\"weight\": 13234, \"source\": 7, \"target\": 8}]}",
"id": 1165,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GOM, PTH, RBQ, OGM, TLN, EDL, MJN, VDH, YLE\n- Travel distances (in kilometers) between each pair of airports:\nGOM to EDL: 4263\nGOM to OGM: 14860\nGOM to YLE: 15519\nGOM to TLN: 8780\nGOM to PTH: 18226\nGOM to MJN: 5701\nGOM to VDH: 12634\nGOM to RBQ: 11307\nPTH to EDL: 17792\nPTH to OGM: 9161\nPTH to YLE: 5089\nPTH to TLN: 11768\nPTH to MJN: 19436\nPTH to VDH: 14442\nPTH to RBQ: 12205\nRBQ to EDL: 12188\nRBQ to OGM: 4621\nRBQ to YLE: 10395\nRBQ to TLN: 11428\nRBQ to MJN: 12575\nRBQ to VDH: 20257\nOGM to EDL: 15741\nOGM to YLE: 7384\nOGM to TLN: 10409\nOGM to MJN: 16256\nOGM to VDH: 17536\nTLN to EDL: 7662\nTLN to YLE: 9045\nTLN to MJN: 9062\nTLN to VDH: 10309\nEDL to YLE: 15084\nEDL to MJN: 2180\nEDL to VDH: 8907\nMJN to YLE: 16728\nMJN to VDH: 8644\nVDH to YLE: 13234\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAG, MJM, SVC, SFN, YIC, RBY, PED, FEG, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nMAG to FEG: 10580\nMAG to RBY: 14243\nMAG to YIC: 6571\nMAG to SFN: 16065\nMAG to SRQ: 16617\nMAG to MJM: 15445\nMAG to PED: 14267\nMAG to SVC: 13739\nMJM to FEG: 8272\nMJM to RBY: 17651\nMJM to YIC: 11156\nMJM to SFN: 10028\nMJM to SRQ: 12847\nMJM to PED: 9482\nMJM to SVC: 15007\nSVC to FEG: 13379\nSVC to RBY: 4972\nSVC to YIC: 12210\nSVC to SFN: 10185\nSVC to SRQ: 3635\nSVC to PED: 11231\nSFN to FEG: 16162\nSFN to RBY: 14417\nSFN to YIC: 20174\nSFN to SRQ: 9278\nSFN to PED: 15026\nYIC to FEG: 5552\nYIC to RBY: 12880\nYIC to SRQ: 13634\nYIC to PED: 8765\nRBY to FEG: 14947\nRBY to SRQ: 6995\nRBY to PED: 12799\nPED to FEG: 4582\nPED to SRQ: 10007\nFEG to SRQ: 12155\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 68343,
"style": "rule"
}
|
{
"exact_answer": 68343,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MAG\", \"id\": 0}, {\"name\": \"MJM\", \"id\": 1}, {\"name\": \"SVC\", \"id\": 2}, {\"name\": \"SFN\", \"id\": 3}, {\"name\": \"YIC\", \"id\": 4}, {\"name\": \"RBY\", \"id\": 5}, {\"name\": \"PED\", \"id\": 6}, {\"name\": \"FEG\", \"id\": 7}, {\"name\": \"SRQ\", \"id\": 8}], \"links\": [{\"weight\": 10580, \"source\": 0, \"target\": 7}, {\"weight\": 14243, \"source\": 0, \"target\": 5}, {\"weight\": 6571, \"source\": 0, \"target\": 4}, {\"weight\": 16065, \"source\": 0, \"target\": 3}, {\"weight\": 16617, \"source\": 0, \"target\": 8}, {\"weight\": 15445, \"source\": 0, \"target\": 1}, {\"weight\": 14267, \"source\": 0, \"target\": 6}, {\"weight\": 13739, \"source\": 0, \"target\": 2}, {\"weight\": 8272, \"source\": 1, \"target\": 7}, {\"weight\": 17651, \"source\": 1, \"target\": 5}, {\"weight\": 11156, \"source\": 1, \"target\": 4}, {\"weight\": 10028, \"source\": 1, \"target\": 3}, {\"weight\": 12847, \"source\": 1, \"target\": 8}, {\"weight\": 9482, \"source\": 1, \"target\": 6}, {\"weight\": 15007, \"source\": 1, \"target\": 2}, {\"weight\": 13379, \"source\": 2, \"target\": 7}, {\"weight\": 4972, \"source\": 2, \"target\": 5}, {\"weight\": 12210, \"source\": 2, \"target\": 4}, {\"weight\": 10185, \"source\": 2, \"target\": 3}, {\"weight\": 3635, \"source\": 2, \"target\": 8}, {\"weight\": 11231, \"source\": 2, \"target\": 6}, {\"weight\": 16162, \"source\": 3, \"target\": 7}, {\"weight\": 14417, \"source\": 3, \"target\": 5}, {\"weight\": 20174, \"source\": 3, \"target\": 4}, {\"weight\": 9278, \"source\": 3, \"target\": 8}, {\"weight\": 15026, \"source\": 3, \"target\": 6}, {\"weight\": 5552, \"source\": 4, \"target\": 7}, {\"weight\": 12880, \"source\": 4, \"target\": 5}, {\"weight\": 13634, \"source\": 4, \"target\": 8}, {\"weight\": 8765, \"source\": 4, \"target\": 6}, {\"weight\": 14947, \"source\": 5, \"target\": 7}, {\"weight\": 6995, \"source\": 5, \"target\": 8}, {\"weight\": 12799, \"source\": 5, \"target\": 6}, {\"weight\": 4582, \"source\": 6, \"target\": 7}, {\"weight\": 10007, \"source\": 6, \"target\": 8}, {\"weight\": 12155, \"source\": 7, \"target\": 8}]}",
"id": 1166,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MAG, MJM, SVC, SFN, YIC, RBY, PED, FEG, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nMAG to FEG: 10580\nMAG to RBY: 14243\nMAG to YIC: 6571\nMAG to SFN: 16065\nMAG to SRQ: 16617\nMAG to MJM: 15445\nMAG to PED: 14267\nMAG to SVC: 13739\nMJM to FEG: 8272\nMJM to RBY: 17651\nMJM to YIC: 11156\nMJM to SFN: 10028\nMJM to SRQ: 12847\nMJM to PED: 9482\nMJM to SVC: 15007\nSVC to FEG: 13379\nSVC to RBY: 4972\nSVC to YIC: 12210\nSVC to SFN: 10185\nSVC to SRQ: 3635\nSVC to PED: 11231\nSFN to FEG: 16162\nSFN to RBY: 14417\nSFN to YIC: 20174\nSFN to SRQ: 9278\nSFN to PED: 15026\nYIC to FEG: 5552\nYIC to RBY: 12880\nYIC to SRQ: 13634\nYIC to PED: 8765\nRBY to FEG: 14947\nRBY to SRQ: 6995\nRBY to PED: 12799\nPED to FEG: 4582\nPED to SRQ: 10007\nFEG to SRQ: 12155\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, BUF, AXU, TYN, UBP, ELC, FUE, MID, PUJ\n- Travel distances (in kilometers) between each pair of airports:\nAAL to TYN: 7670\nAAL to PUJ: 7720\nAAL to MID: 8863\nAAL to BUF: 6414\nAAL to FUE: 3688\nAAL to UBP: 9322\nAAL to AXU: 6482\nAAL to ELC: 13597\nBUF to TYN: 11462\nBUF to PUJ: 2879\nBUF to MID: 2846\nBUF to FUE: 6168\nBUF to UBP: 14826\nBUF to AXU: 12257\nBUF to ELC: 17344\nAXU to TYN: 8738\nAXU to PUJ: 12945\nAXU to MID: 14481\nAXU to FUE: 7837\nAXU to UBP: 7808\nAXU to ELC: 12179\nTYN to PUJ: 13915\nTYN to MID: 13141\nTYN to FUE: 10985\nTYN to UBP: 3395\nTYN to ELC: 6408\nUBP to PUJ: 16785\nUBP to MID: 16505\nUBP to FUE: 12118\nUBP to ELC: 5710\nELC to PUJ: 19900\nELC to MID: 18109\nELC to FUE: 16684\nFUE to PUJ: 6759\nFUE to MID: 8618\nMID to PUJ: 2352\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53515,
"style": "rule"
}
|
{
"exact_answer": 53515,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAL\", \"id\": 0}, {\"name\": \"BUF\", \"id\": 1}, {\"name\": \"AXU\", \"id\": 2}, {\"name\": \"TYN\", \"id\": 3}, {\"name\": \"UBP\", \"id\": 4}, {\"name\": \"ELC\", \"id\": 5}, {\"name\": \"FUE\", \"id\": 6}, {\"name\": \"MID\", \"id\": 7}, {\"name\": \"PUJ\", \"id\": 8}], \"links\": [{\"weight\": 7670, \"source\": 0, \"target\": 3}, {\"weight\": 7720, \"source\": 0, \"target\": 8}, {\"weight\": 8863, \"source\": 0, \"target\": 7}, {\"weight\": 6414, \"source\": 0, \"target\": 1}, {\"weight\": 3688, \"source\": 0, \"target\": 6}, {\"weight\": 9322, \"source\": 0, \"target\": 4}, {\"weight\": 6482, \"source\": 0, \"target\": 2}, {\"weight\": 13597, \"source\": 0, \"target\": 5}, {\"weight\": 11462, \"source\": 1, \"target\": 3}, {\"weight\": 2879, \"source\": 1, \"target\": 8}, {\"weight\": 2846, \"source\": 1, \"target\": 7}, {\"weight\": 6168, \"source\": 1, \"target\": 6}, {\"weight\": 14826, \"source\": 1, \"target\": 4}, {\"weight\": 12257, \"source\": 1, \"target\": 2}, {\"weight\": 17344, \"source\": 1, \"target\": 5}, {\"weight\": 8738, \"source\": 2, \"target\": 3}, {\"weight\": 12945, \"source\": 2, \"target\": 8}, {\"weight\": 14481, \"source\": 2, \"target\": 7}, {\"weight\": 7837, \"source\": 2, \"target\": 6}, {\"weight\": 7808, \"source\": 2, \"target\": 4}, {\"weight\": 12179, \"source\": 2, \"target\": 5}, {\"weight\": 13915, \"source\": 3, \"target\": 8}, {\"weight\": 13141, \"source\": 3, \"target\": 7}, {\"weight\": 10985, \"source\": 3, \"target\": 6}, {\"weight\": 3395, \"source\": 3, \"target\": 4}, {\"weight\": 6408, \"source\": 3, \"target\": 5}, {\"weight\": 16785, \"source\": 4, \"target\": 8}, {\"weight\": 16505, \"source\": 4, \"target\": 7}, {\"weight\": 12118, \"source\": 4, \"target\": 6}, {\"weight\": 5710, \"source\": 4, \"target\": 5}, {\"weight\": 19900, \"source\": 5, \"target\": 8}, {\"weight\": 18109, \"source\": 5, \"target\": 7}, {\"weight\": 16684, \"source\": 5, \"target\": 6}, {\"weight\": 6759, \"source\": 6, \"target\": 8}, {\"weight\": 8618, \"source\": 6, \"target\": 7}, {\"weight\": 2352, \"source\": 7, \"target\": 8}]}",
"id": 1167,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, BUF, AXU, TYN, UBP, ELC, FUE, MID, PUJ\n- Travel distances (in kilometers) between each pair of airports:\nAAL to TYN: 7670\nAAL to PUJ: 7720\nAAL to MID: 8863\nAAL to BUF: 6414\nAAL to FUE: 3688\nAAL to UBP: 9322\nAAL to AXU: 6482\nAAL to ELC: 13597\nBUF to TYN: 11462\nBUF to PUJ: 2879\nBUF to MID: 2846\nBUF to FUE: 6168\nBUF to UBP: 14826\nBUF to AXU: 12257\nBUF to ELC: 17344\nAXU to TYN: 8738\nAXU to PUJ: 12945\nAXU to MID: 14481\nAXU to FUE: 7837\nAXU to UBP: 7808\nAXU to ELC: 12179\nTYN to PUJ: 13915\nTYN to MID: 13141\nTYN to FUE: 10985\nTYN to UBP: 3395\nTYN to ELC: 6408\nUBP to PUJ: 16785\nUBP to MID: 16505\nUBP to FUE: 12118\nUBP to ELC: 5710\nELC to PUJ: 19900\nELC to MID: 18109\nELC to FUE: 16684\nFUE to PUJ: 6759\nFUE to MID: 8618\nMID to PUJ: 2352\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OHE, RSU, YYH, TTE, MVY, BKW, SXO, NYI, YNY\n- Travel distances (in kilometers) between each pair of airports:\nOHE to YYH: 12910\nOHE to MVY: 13028\nOHE to TTE: 7600\nOHE to YNY: 3564\nOHE to RSU: 2443\nOHE to NYI: 12656\nOHE to SXO: 17997\nOHE to BKW: 13203\nRSU to YYH: 11865\nRSU to MVY: 12063\nRSU to TTE: 5607\nRSU to YNY: 1685\nRSU to NYI: 13361\nRSU to SXO: 19009\nRSU to BKW: 12136\nYYH to MVY: 4926\nYYH to TTE: 16731\nYYH to YNY: 13054\nYYH to NYI: 13366\nYYH to SXO: 12708\nYYH to BKW: 5385\nTTE to MVY: 17178\nTTE to YNY: 6018\nTTE to NYI: 14870\nTTE to SXO: 20388\nTTE to BKW: 17339\nMVY to YNY: 13232\nMVY to NYI: 8664\nMVY to SXO: 8062\nMVY to BKW: 1006\nBKW to YNY: 13305\nBKW to NYI: 9202\nBKW to SXO: 8195\nSXO to YNY: 19840\nSXO to NYI: 8030\nNYI to YNY: 13986\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60083,
"style": "rule"
}
|
{
"exact_answer": 60083,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OHE\", \"id\": 0}, {\"name\": \"RSU\", \"id\": 1}, {\"name\": \"YYH\", \"id\": 2}, {\"name\": \"TTE\", \"id\": 3}, {\"name\": \"MVY\", \"id\": 4}, {\"name\": \"BKW\", \"id\": 5}, {\"name\": \"SXO\", \"id\": 6}, {\"name\": \"NYI\", \"id\": 7}, {\"name\": \"YNY\", \"id\": 8}], \"links\": [{\"weight\": 12910, \"source\": 0, \"target\": 2}, {\"weight\": 13028, \"source\": 0, \"target\": 4}, {\"weight\": 7600, \"source\": 0, \"target\": 3}, {\"weight\": 3564, \"source\": 0, \"target\": 8}, {\"weight\": 2443, \"source\": 0, \"target\": 1}, {\"weight\": 12656, \"source\": 0, \"target\": 7}, {\"weight\": 17997, \"source\": 0, \"target\": 6}, {\"weight\": 13203, \"source\": 0, \"target\": 5}, {\"weight\": 11865, \"source\": 1, \"target\": 2}, {\"weight\": 12063, \"source\": 1, \"target\": 4}, {\"weight\": 5607, \"source\": 1, \"target\": 3}, {\"weight\": 1685, \"source\": 1, \"target\": 8}, {\"weight\": 13361, \"source\": 1, \"target\": 7}, {\"weight\": 19009, \"source\": 1, \"target\": 6}, {\"weight\": 12136, \"source\": 1, \"target\": 5}, {\"weight\": 4926, \"source\": 2, \"target\": 4}, {\"weight\": 16731, \"source\": 2, \"target\": 3}, {\"weight\": 13054, \"source\": 2, \"target\": 8}, {\"weight\": 13366, \"source\": 2, \"target\": 7}, {\"weight\": 12708, \"source\": 2, \"target\": 6}, {\"weight\": 5385, \"source\": 2, \"target\": 5}, {\"weight\": 17178, \"source\": 3, \"target\": 4}, {\"weight\": 6018, \"source\": 3, \"target\": 8}, {\"weight\": 14870, \"source\": 3, \"target\": 7}, {\"weight\": 20388, \"source\": 3, \"target\": 6}, {\"weight\": 17339, \"source\": 3, \"target\": 5}, {\"weight\": 13232, \"source\": 4, \"target\": 8}, {\"weight\": 8664, \"source\": 4, \"target\": 7}, {\"weight\": 8062, \"source\": 4, \"target\": 6}, {\"weight\": 1006, \"source\": 4, \"target\": 5}, {\"weight\": 13305, \"source\": 5, \"target\": 8}, {\"weight\": 9202, \"source\": 5, \"target\": 7}, {\"weight\": 8195, \"source\": 5, \"target\": 6}, {\"weight\": 19840, \"source\": 6, \"target\": 8}, {\"weight\": 8030, \"source\": 6, \"target\": 7}, {\"weight\": 13986, \"source\": 7, \"target\": 8}]}",
"id": 1168,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OHE, RSU, YYH, TTE, MVY, BKW, SXO, NYI, YNY\n- Travel distances (in kilometers) between each pair of airports:\nOHE to YYH: 12910\nOHE to MVY: 13028\nOHE to TTE: 7600\nOHE to YNY: 3564\nOHE to RSU: 2443\nOHE to NYI: 12656\nOHE to SXO: 17997\nOHE to BKW: 13203\nRSU to YYH: 11865\nRSU to MVY: 12063\nRSU to TTE: 5607\nRSU to YNY: 1685\nRSU to NYI: 13361\nRSU to SXO: 19009\nRSU to BKW: 12136\nYYH to MVY: 4926\nYYH to TTE: 16731\nYYH to YNY: 13054\nYYH to NYI: 13366\nYYH to SXO: 12708\nYYH to BKW: 5385\nTTE to MVY: 17178\nTTE to YNY: 6018\nTTE to NYI: 14870\nTTE to SXO: 20388\nTTE to BKW: 17339\nMVY to YNY: 13232\nMVY to NYI: 8664\nMVY to SXO: 8062\nMVY to BKW: 1006\nBKW to YNY: 13305\nBKW to NYI: 9202\nBKW to SXO: 8195\nSXO to YNY: 19840\nSXO to NYI: 8030\nNYI to YNY: 13986\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IVL, ISN, YNJ, NLT, KWN, CRD, AJA, OGX, PJG\n- Travel distances (in kilometers) between each pair of airports:\nIVL to KWN: 12261\nIVL to CRD: 15345\nIVL to AJA: 3360\nIVL to OGX: 4541\nIVL to YNJ: 8351\nIVL to NLT: 5865\nIVL to ISN: 9507\nIVL to PJG: 6617\nISN to KWN: 5543\nISN to CRD: 11466\nISN to AJA: 8575\nISN to OGX: 9243\nISN to YNJ: 11571\nISN to NLT: 13493\nISN to PJG: 13939\nYNJ to KWN: 12105\nYNJ to CRD: 20959\nYNJ to AJA: 9638\nYNJ to OGX: 10786\nYNJ to NLT: 3870\nYNJ to PJG: 6368\nNLT to KWN: 14521\nNLT to CRD: 18762\nNLT to AJA: 6791\nNLT to OGX: 7874\nNLT to PJG: 3526\nKWN to CRD: 15105\nKWN to AJA: 12050\nKWN to OGX: 12973\nKWN to PJG: 16568\nCRD to AJA: 12601\nCRD to OGX: 12072\nCRD to PJG: 16875\nAJA to OGX: 1646\nAJA to PJG: 6083\nOGX to PJG: 7166\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60205,
"style": "rule"
}
|
{
"exact_answer": 60205,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IVL\", \"id\": 0}, {\"name\": \"ISN\", \"id\": 1}, {\"name\": \"YNJ\", \"id\": 2}, {\"name\": \"NLT\", \"id\": 3}, {\"name\": \"KWN\", \"id\": 4}, {\"name\": \"CRD\", \"id\": 5}, {\"name\": \"AJA\", \"id\": 6}, {\"name\": \"OGX\", \"id\": 7}, {\"name\": \"PJG\", \"id\": 8}], \"links\": [{\"weight\": 12261, \"source\": 0, \"target\": 4}, {\"weight\": 15345, \"source\": 0, \"target\": 5}, {\"weight\": 3360, \"source\": 0, \"target\": 6}, {\"weight\": 4541, \"source\": 0, \"target\": 7}, {\"weight\": 8351, \"source\": 0, \"target\": 2}, {\"weight\": 5865, \"source\": 0, \"target\": 3}, {\"weight\": 9507, \"source\": 0, \"target\": 1}, {\"weight\": 6617, \"source\": 0, \"target\": 8}, {\"weight\": 5543, \"source\": 1, \"target\": 4}, {\"weight\": 11466, \"source\": 1, \"target\": 5}, {\"weight\": 8575, \"source\": 1, \"target\": 6}, {\"weight\": 9243, \"source\": 1, \"target\": 7}, {\"weight\": 11571, \"source\": 1, \"target\": 2}, {\"weight\": 13493, \"source\": 1, \"target\": 3}, {\"weight\": 13939, \"source\": 1, \"target\": 8}, {\"weight\": 12105, \"source\": 2, \"target\": 4}, {\"weight\": 20959, \"source\": 2, \"target\": 5}, {\"weight\": 9638, \"source\": 2, \"target\": 6}, {\"weight\": 10786, \"source\": 2, \"target\": 7}, {\"weight\": 3870, \"source\": 2, \"target\": 3}, {\"weight\": 6368, \"source\": 2, \"target\": 8}, {\"weight\": 14521, \"source\": 3, \"target\": 4}, {\"weight\": 18762, \"source\": 3, \"target\": 5}, {\"weight\": 6791, \"source\": 3, \"target\": 6}, {\"weight\": 7874, \"source\": 3, \"target\": 7}, {\"weight\": 3526, \"source\": 3, \"target\": 8}, {\"weight\": 15105, \"source\": 4, \"target\": 5}, {\"weight\": 12050, \"source\": 4, \"target\": 6}, {\"weight\": 12973, \"source\": 4, \"target\": 7}, {\"weight\": 16568, \"source\": 4, \"target\": 8}, {\"weight\": 12601, \"source\": 5, \"target\": 6}, {\"weight\": 12072, \"source\": 5, \"target\": 7}, {\"weight\": 16875, \"source\": 5, \"target\": 8}, {\"weight\": 1646, \"source\": 6, \"target\": 7}, {\"weight\": 6083, \"source\": 6, \"target\": 8}, {\"weight\": 7166, \"source\": 7, \"target\": 8}]}",
"id": 1169,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IVL, ISN, YNJ, NLT, KWN, CRD, AJA, OGX, PJG\n- Travel distances (in kilometers) between each pair of airports:\nIVL to KWN: 12261\nIVL to CRD: 15345\nIVL to AJA: 3360\nIVL to OGX: 4541\nIVL to YNJ: 8351\nIVL to NLT: 5865\nIVL to ISN: 9507\nIVL to PJG: 6617\nISN to KWN: 5543\nISN to CRD: 11466\nISN to AJA: 8575\nISN to OGX: 9243\nISN to YNJ: 11571\nISN to NLT: 13493\nISN to PJG: 13939\nYNJ to KWN: 12105\nYNJ to CRD: 20959\nYNJ to AJA: 9638\nYNJ to OGX: 10786\nYNJ to NLT: 3870\nYNJ to PJG: 6368\nNLT to KWN: 14521\nNLT to CRD: 18762\nNLT to AJA: 6791\nNLT to OGX: 7874\nNLT to PJG: 3526\nKWN to CRD: 15105\nKWN to AJA: 12050\nKWN to OGX: 12973\nKWN to PJG: 16568\nCRD to AJA: 12601\nCRD to OGX: 12072\nCRD to PJG: 16875\nAJA to OGX: 1646\nAJA to PJG: 6083\nOGX to PJG: 7166\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPX, SUG, ACR, ORV, PVA, NDJ, GKK, BGR, KID\n- Travel distances (in kilometers) between each pair of airports:\nCPX to SUG: 16918\nCPX to ORV: 8940\nCPX to NDJ: 11028\nCPX to ACR: 2457\nCPX to PVA: 2425\nCPX to BGR: 3389\nCPX to GKK: 15706\nCPX to KID: 8952\nSUG to ORV: 14382\nSUG to NDJ: 12083\nSUG to ACR: 18313\nSUG to PVA: 17537\nSUG to BGR: 14930\nSUG to GKK: 6288\nSUG to KID: 10540\nACR to ORV: 10382\nACR to NDJ: 12029\nACR to PVA: 1907\nACR to BGR: 5358\nACR to GKK: 17645\nACR to KID: 10939\nORV to NDJ: 15580\nORV to PVA: 9612\nORV to BGR: 7041\nORV to GKK: 18207\nORV to KID: 11698\nPVA to NDJ: 12326\nPVA to BGR: 4768\nPVA to GKK: 17740\nPVA to KID: 10817\nNDJ to BGR: 10467\nNDJ to GKK: 7795\nNDJ to KID: 6135\nGKK to BGR: 15030\nGKK to KID: 8646\nBGR to KID: 7392\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59357,
"style": "rule"
}
|
{
"exact_answer": 59357,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CPX\", \"id\": 0}, {\"name\": \"SUG\", \"id\": 1}, {\"name\": \"ACR\", \"id\": 2}, {\"name\": \"ORV\", \"id\": 3}, {\"name\": \"PVA\", \"id\": 4}, {\"name\": \"NDJ\", \"id\": 5}, {\"name\": \"GKK\", \"id\": 6}, {\"name\": \"BGR\", \"id\": 7}, {\"name\": \"KID\", \"id\": 8}], \"links\": [{\"weight\": 16918, \"source\": 0, \"target\": 1}, {\"weight\": 8940, \"source\": 0, \"target\": 3}, {\"weight\": 11028, \"source\": 0, \"target\": 5}, {\"weight\": 2457, \"source\": 0, \"target\": 2}, {\"weight\": 2425, \"source\": 0, \"target\": 4}, {\"weight\": 3389, \"source\": 0, \"target\": 7}, {\"weight\": 15706, \"source\": 0, \"target\": 6}, {\"weight\": 8952, \"source\": 0, \"target\": 8}, {\"weight\": 14382, \"source\": 1, \"target\": 3}, {\"weight\": 12083, \"source\": 1, \"target\": 5}, {\"weight\": 18313, \"source\": 1, \"target\": 2}, {\"weight\": 17537, \"source\": 1, \"target\": 4}, {\"weight\": 14930, \"source\": 1, \"target\": 7}, {\"weight\": 6288, \"source\": 1, \"target\": 6}, {\"weight\": 10540, \"source\": 1, \"target\": 8}, {\"weight\": 10382, \"source\": 2, \"target\": 3}, {\"weight\": 12029, \"source\": 2, \"target\": 5}, {\"weight\": 1907, \"source\": 2, \"target\": 4}, {\"weight\": 5358, \"source\": 2, \"target\": 7}, {\"weight\": 17645, \"source\": 2, \"target\": 6}, {\"weight\": 10939, \"source\": 2, \"target\": 8}, {\"weight\": 15580, \"source\": 3, \"target\": 5}, {\"weight\": 9612, \"source\": 3, \"target\": 4}, {\"weight\": 7041, \"source\": 3, \"target\": 7}, {\"weight\": 18207, \"source\": 3, \"target\": 6}, {\"weight\": 11698, \"source\": 3, \"target\": 8}, {\"weight\": 12326, \"source\": 4, \"target\": 5}, {\"weight\": 4768, \"source\": 4, \"target\": 7}, {\"weight\": 17740, \"source\": 4, \"target\": 6}, {\"weight\": 10817, \"source\": 4, \"target\": 8}, {\"weight\": 10467, \"source\": 5, \"target\": 7}, {\"weight\": 7795, \"source\": 5, \"target\": 6}, {\"weight\": 6135, \"source\": 5, \"target\": 8}, {\"weight\": 15030, \"source\": 6, \"target\": 7}, {\"weight\": 8646, \"source\": 6, \"target\": 8}, {\"weight\": 7392, \"source\": 7, \"target\": 8}]}",
"id": 1170,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPX, SUG, ACR, ORV, PVA, NDJ, GKK, BGR, KID\n- Travel distances (in kilometers) between each pair of airports:\nCPX to SUG: 16918\nCPX to ORV: 8940\nCPX to NDJ: 11028\nCPX to ACR: 2457\nCPX to PVA: 2425\nCPX to BGR: 3389\nCPX to GKK: 15706\nCPX to KID: 8952\nSUG to ORV: 14382\nSUG to NDJ: 12083\nSUG to ACR: 18313\nSUG to PVA: 17537\nSUG to BGR: 14930\nSUG to GKK: 6288\nSUG to KID: 10540\nACR to ORV: 10382\nACR to NDJ: 12029\nACR to PVA: 1907\nACR to BGR: 5358\nACR to GKK: 17645\nACR to KID: 10939\nORV to NDJ: 15580\nORV to PVA: 9612\nORV to BGR: 7041\nORV to GKK: 18207\nORV to KID: 11698\nPVA to NDJ: 12326\nPVA to BGR: 4768\nPVA to GKK: 17740\nPVA to KID: 10817\nNDJ to BGR: 10467\nNDJ to GKK: 7795\nNDJ to KID: 6135\nGKK to BGR: 15030\nGKK to KID: 8646\nBGR to KID: 7392\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRE, BGG, VLD, AWZ, URC, HNL, YUD, TQI, PVH\n- Travel distances (in kilometers) between each pair of airports:\nMRE to YUD: 13871\nMRE to URC: 7387\nMRE to HNL: 17752\nMRE to PVH: 12327\nMRE to VLD: 14070\nMRE to AWZ: 4164\nMRE to TQI: 11511\nMRE to BGG: 5922\nBGG to YUD: 9882\nBGG to URC: 5190\nBGG to HNL: 15251\nBGG to PVH: 12748\nBGG to VLD: 10601\nBGG to AWZ: 3318\nBGG to TQI: 7132\nVLD to YUD: 3120\nVLD to URC: 12720\nVLD to HNL: 7568\nVLD to PVH: 5930\nVLD to AWZ: 11913\nVLD to TQI: 7842\nAWZ to YUD: 11187\nAWZ to URC: 3657\nAWZ to HNL: 14218\nAWZ to PVH: 13902\nAWZ to TQI: 8427\nURC to YUD: 12602\nURC to HNL: 10561\nURC to PVH: 15842\nURC to TQI: 9200\nHNL to YUD: 7783\nHNL to PVH: 12232\nHNL to TQI: 12238\nYUD to PVH: 7854\nYUD to TQI: 7723\nTQI to PVH: 12214\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60441,
"style": "rule"
}
|
{
"exact_answer": 60441,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MRE\", \"id\": 0}, {\"name\": \"BGG\", \"id\": 1}, {\"name\": \"VLD\", \"id\": 2}, {\"name\": \"AWZ\", \"id\": 3}, {\"name\": \"URC\", \"id\": 4}, {\"name\": \"HNL\", \"id\": 5}, {\"name\": \"YUD\", \"id\": 6}, {\"name\": \"TQI\", \"id\": 7}, {\"name\": \"PVH\", \"id\": 8}], \"links\": [{\"weight\": 13871, \"source\": 0, \"target\": 6}, {\"weight\": 7387, \"source\": 0, \"target\": 4}, {\"weight\": 17752, \"source\": 0, \"target\": 5}, {\"weight\": 12327, \"source\": 0, \"target\": 8}, {\"weight\": 14070, \"source\": 0, \"target\": 2}, {\"weight\": 4164, \"source\": 0, \"target\": 3}, {\"weight\": 11511, \"source\": 0, \"target\": 7}, {\"weight\": 5922, \"source\": 0, \"target\": 1}, {\"weight\": 9882, \"source\": 1, \"target\": 6}, {\"weight\": 5190, \"source\": 1, \"target\": 4}, {\"weight\": 15251, \"source\": 1, \"target\": 5}, {\"weight\": 12748, \"source\": 1, \"target\": 8}, {\"weight\": 10601, \"source\": 1, \"target\": 2}, {\"weight\": 3318, \"source\": 1, \"target\": 3}, {\"weight\": 7132, \"source\": 1, \"target\": 7}, {\"weight\": 3120, \"source\": 2, \"target\": 6}, {\"weight\": 12720, \"source\": 2, \"target\": 4}, {\"weight\": 7568, \"source\": 2, \"target\": 5}, {\"weight\": 5930, \"source\": 2, \"target\": 8}, {\"weight\": 11913, \"source\": 2, \"target\": 3}, {\"weight\": 7842, \"source\": 2, \"target\": 7}, {\"weight\": 11187, \"source\": 3, \"target\": 6}, {\"weight\": 3657, \"source\": 3, \"target\": 4}, {\"weight\": 14218, \"source\": 3, \"target\": 5}, {\"weight\": 13902, \"source\": 3, \"target\": 8}, {\"weight\": 8427, \"source\": 3, \"target\": 7}, {\"weight\": 12602, \"source\": 4, \"target\": 6}, {\"weight\": 10561, \"source\": 4, \"target\": 5}, {\"weight\": 15842, \"source\": 4, \"target\": 8}, {\"weight\": 9200, \"source\": 4, \"target\": 7}, {\"weight\": 7783, \"source\": 5, \"target\": 6}, {\"weight\": 12232, \"source\": 5, \"target\": 8}, {\"weight\": 12238, \"source\": 5, \"target\": 7}, {\"weight\": 7854, \"source\": 6, \"target\": 8}, {\"weight\": 7723, \"source\": 6, \"target\": 7}, {\"weight\": 12214, \"source\": 7, \"target\": 8}]}",
"id": 1171,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRE, BGG, VLD, AWZ, URC, HNL, YUD, TQI, PVH\n- Travel distances (in kilometers) between each pair of airports:\nMRE to YUD: 13871\nMRE to URC: 7387\nMRE to HNL: 17752\nMRE to PVH: 12327\nMRE to VLD: 14070\nMRE to AWZ: 4164\nMRE to TQI: 11511\nMRE to BGG: 5922\nBGG to YUD: 9882\nBGG to URC: 5190\nBGG to HNL: 15251\nBGG to PVH: 12748\nBGG to VLD: 10601\nBGG to AWZ: 3318\nBGG to TQI: 7132\nVLD to YUD: 3120\nVLD to URC: 12720\nVLD to HNL: 7568\nVLD to PVH: 5930\nVLD to AWZ: 11913\nVLD to TQI: 7842\nAWZ to YUD: 11187\nAWZ to URC: 3657\nAWZ to HNL: 14218\nAWZ to PVH: 13902\nAWZ to TQI: 8427\nURC to YUD: 12602\nURC to HNL: 10561\nURC to PVH: 15842\nURC to TQI: 9200\nHNL to YUD: 7783\nHNL to PVH: 12232\nHNL to TQI: 12238\nYUD to PVH: 7854\nYUD to TQI: 7723\nTQI to PVH: 12214\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUK, TOB, ACV, JEG, SHD, VPE, PLQ, KUS, VKT\n- Travel distances (in kilometers) between each pair of airports:\nFUK to VKT: 7486\nFUK to TOB: 9716\nFUK to PLQ: 8051\nFUK to VPE: 14091\nFUK to KUS: 12141\nFUK to JEG: 11960\nFUK to ACV: 9545\nFUK to SHD: 11882\nTOB to VKT: 5335\nTOB to PLQ: 3689\nTOB to VPE: 7498\nTOB to KUS: 7198\nTOB to JEG: 7017\nTOB to ACV: 12195\nTOB to SHD: 8891\nACV to VKT: 11892\nACV to PLQ: 9649\nACV to VPE: 15909\nACV to KUS: 9220\nACV to JEG: 9039\nACV to SHD: 4263\nJEG to VKT: 6695\nJEG to PLQ: 4164\nJEG to VPE: 11599\nJEG to KUS: 833\nJEG to SHD: 6561\nSHD to VKT: 9414\nSHD to PLQ: 7169\nSHD to VPE: 12154\nSHD to KUS: 6742\nVPE to VKT: 10368\nVPE to PLQ: 8717\nVPE to KUS: 11780\nPLQ to VKT: 2722\nPLQ to KUS: 4581\nKUS to VKT: 6876\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54377,
"style": "rule"
}
|
{
"exact_answer": 54377,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FUK\", \"id\": 0}, {\"name\": \"TOB\", \"id\": 1}, {\"name\": \"ACV\", \"id\": 2}, {\"name\": \"JEG\", \"id\": 3}, {\"name\": \"SHD\", \"id\": 4}, {\"name\": \"VPE\", \"id\": 5}, {\"name\": \"PLQ\", \"id\": 6}, {\"name\": \"KUS\", \"id\": 7}, {\"name\": \"VKT\", \"id\": 8}], \"links\": [{\"weight\": 7486, \"source\": 0, \"target\": 8}, {\"weight\": 9716, \"source\": 0, \"target\": 1}, {\"weight\": 8051, \"source\": 0, \"target\": 6}, {\"weight\": 14091, \"source\": 0, \"target\": 5}, {\"weight\": 12141, \"source\": 0, \"target\": 7}, {\"weight\": 11960, \"source\": 0, \"target\": 3}, {\"weight\": 9545, \"source\": 0, \"target\": 2}, {\"weight\": 11882, \"source\": 0, \"target\": 4}, {\"weight\": 5335, \"source\": 1, \"target\": 8}, {\"weight\": 3689, \"source\": 1, \"target\": 6}, {\"weight\": 7498, \"source\": 1, \"target\": 5}, {\"weight\": 7198, \"source\": 1, \"target\": 7}, {\"weight\": 7017, \"source\": 1, \"target\": 3}, {\"weight\": 12195, \"source\": 1, \"target\": 2}, {\"weight\": 8891, \"source\": 1, \"target\": 4}, {\"weight\": 11892, \"source\": 2, \"target\": 8}, {\"weight\": 9649, \"source\": 2, \"target\": 6}, {\"weight\": 15909, \"source\": 2, \"target\": 5}, {\"weight\": 9220, \"source\": 2, \"target\": 7}, {\"weight\": 9039, \"source\": 2, \"target\": 3}, {\"weight\": 4263, \"source\": 2, \"target\": 4}, {\"weight\": 6695, \"source\": 3, \"target\": 8}, {\"weight\": 4164, \"source\": 3, \"target\": 6}, {\"weight\": 11599, \"source\": 3, \"target\": 5}, {\"weight\": 833, \"source\": 3, \"target\": 7}, {\"weight\": 6561, \"source\": 3, \"target\": 4}, {\"weight\": 9414, \"source\": 4, \"target\": 8}, {\"weight\": 7169, \"source\": 4, \"target\": 6}, {\"weight\": 12154, \"source\": 4, \"target\": 5}, {\"weight\": 6742, \"source\": 4, \"target\": 7}, {\"weight\": 10368, \"source\": 5, \"target\": 8}, {\"weight\": 8717, \"source\": 5, \"target\": 6}, {\"weight\": 11780, \"source\": 5, \"target\": 7}, {\"weight\": 2722, \"source\": 6, \"target\": 8}, {\"weight\": 4581, \"source\": 6, \"target\": 7}, {\"weight\": 6876, \"source\": 7, \"target\": 8}]}",
"id": 1172,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FUK, TOB, ACV, JEG, SHD, VPE, PLQ, KUS, VKT\n- Travel distances (in kilometers) between each pair of airports:\nFUK to VKT: 7486\nFUK to TOB: 9716\nFUK to PLQ: 8051\nFUK to VPE: 14091\nFUK to KUS: 12141\nFUK to JEG: 11960\nFUK to ACV: 9545\nFUK to SHD: 11882\nTOB to VKT: 5335\nTOB to PLQ: 3689\nTOB to VPE: 7498\nTOB to KUS: 7198\nTOB to JEG: 7017\nTOB to ACV: 12195\nTOB to SHD: 8891\nACV to VKT: 11892\nACV to PLQ: 9649\nACV to VPE: 15909\nACV to KUS: 9220\nACV to JEG: 9039\nACV to SHD: 4263\nJEG to VKT: 6695\nJEG to PLQ: 4164\nJEG to VPE: 11599\nJEG to KUS: 833\nJEG to SHD: 6561\nSHD to VKT: 9414\nSHD to PLQ: 7169\nSHD to VPE: 12154\nSHD to KUS: 6742\nVPE to VKT: 10368\nVPE to PLQ: 8717\nVPE to KUS: 11780\nPLQ to VKT: 2722\nPLQ to KUS: 4581\nKUS to VKT: 6876\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RZE, TLN, VAR, NSH, RZR, ATH, OOL, OSY, TBW\n- Travel distances (in kilometers) between each pair of airports:\nRZE to ATH: 1839\nRZE to TLN: 2322\nRZE to OOL: 15566\nRZE to NSH: 3780\nRZE to RZR: 3818\nRZE to VAR: 1672\nRZE to TBW: 1817\nRZE to OSY: 1749\nTLN to ATH: 2794\nTLN to OOL: 17357\nTLN to NSH: 5087\nTLN to RZR: 5125\nTLN to VAR: 2744\nTLN to TBW: 3571\nTLN to OSY: 2560\nVAR to ATH: 895\nVAR to OOL: 15695\nVAR to NSH: 3006\nVAR to RZR: 3044\nVAR to TBW: 2737\nVAR to OSY: 2809\nNSH to ATH: 2719\nNSH to OOL: 12970\nNSH to RZR: 256\nNSH to TBW: 3486\nNSH to OSY: 4808\nRZR to ATH: 2757\nRZR to OOL: 13040\nRZR to TBW: 3524\nRZR to OSY: 4846\nATH to OOL: 15289\nATH to TBW: 2626\nATH to OSY: 3108\nOOL to TBW: 14701\nOOL to OSY: 15899\nOSY to TBW: 2325\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 40449,
"style": "rule"
}
|
{
"exact_answer": 40449,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RZE\", \"id\": 0}, {\"name\": \"TLN\", \"id\": 1}, {\"name\": \"VAR\", \"id\": 2}, {\"name\": \"NSH\", \"id\": 3}, {\"name\": \"RZR\", \"id\": 4}, {\"name\": \"ATH\", \"id\": 5}, {\"name\": \"OOL\", \"id\": 6}, {\"name\": \"OSY\", \"id\": 7}, {\"name\": \"TBW\", \"id\": 8}], \"links\": [{\"weight\": 1839, \"source\": 0, \"target\": 5}, {\"weight\": 2322, \"source\": 0, \"target\": 1}, {\"weight\": 15566, \"source\": 0, \"target\": 6}, {\"weight\": 3780, \"source\": 0, \"target\": 3}, {\"weight\": 3818, \"source\": 0, \"target\": 4}, {\"weight\": 1672, \"source\": 0, \"target\": 2}, {\"weight\": 1817, \"source\": 0, \"target\": 8}, {\"weight\": 1749, \"source\": 0, \"target\": 7}, {\"weight\": 2794, \"source\": 1, \"target\": 5}, {\"weight\": 17357, \"source\": 1, \"target\": 6}, {\"weight\": 5087, \"source\": 1, \"target\": 3}, {\"weight\": 5125, \"source\": 1, \"target\": 4}, {\"weight\": 2744, \"source\": 1, \"target\": 2}, {\"weight\": 3571, \"source\": 1, \"target\": 8}, {\"weight\": 2560, \"source\": 1, \"target\": 7}, {\"weight\": 895, \"source\": 2, \"target\": 5}, {\"weight\": 15695, \"source\": 2, \"target\": 6}, {\"weight\": 3006, \"source\": 2, \"target\": 3}, {\"weight\": 3044, \"source\": 2, \"target\": 4}, {\"weight\": 2737, \"source\": 2, \"target\": 8}, {\"weight\": 2809, \"source\": 2, \"target\": 7}, {\"weight\": 2719, \"source\": 3, \"target\": 5}, {\"weight\": 12970, \"source\": 3, \"target\": 6}, {\"weight\": 256, \"source\": 3, \"target\": 4}, {\"weight\": 3486, \"source\": 3, \"target\": 8}, {\"weight\": 4808, \"source\": 3, \"target\": 7}, {\"weight\": 2757, \"source\": 4, \"target\": 5}, {\"weight\": 13040, \"source\": 4, \"target\": 6}, {\"weight\": 3524, \"source\": 4, \"target\": 8}, {\"weight\": 4846, \"source\": 4, \"target\": 7}, {\"weight\": 15289, \"source\": 5, \"target\": 6}, {\"weight\": 2626, \"source\": 5, \"target\": 8}, {\"weight\": 3108, \"source\": 5, \"target\": 7}, {\"weight\": 14701, \"source\": 6, \"target\": 8}, {\"weight\": 15899, \"source\": 6, \"target\": 7}, {\"weight\": 2325, \"source\": 7, \"target\": 8}]}",
"id": 1173,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: RZE, TLN, VAR, NSH, RZR, ATH, OOL, OSY, TBW\n- Travel distances (in kilometers) between each pair of airports:\nRZE to ATH: 1839\nRZE to TLN: 2322\nRZE to OOL: 15566\nRZE to NSH: 3780\nRZE to RZR: 3818\nRZE to VAR: 1672\nRZE to TBW: 1817\nRZE to OSY: 1749\nTLN to ATH: 2794\nTLN to OOL: 17357\nTLN to NSH: 5087\nTLN to RZR: 5125\nTLN to VAR: 2744\nTLN to TBW: 3571\nTLN to OSY: 2560\nVAR to ATH: 895\nVAR to OOL: 15695\nVAR to NSH: 3006\nVAR to RZR: 3044\nVAR to TBW: 2737\nVAR to OSY: 2809\nNSH to ATH: 2719\nNSH to OOL: 12970\nNSH to RZR: 256\nNSH to TBW: 3486\nNSH to OSY: 4808\nRZR to ATH: 2757\nRZR to OOL: 13040\nRZR to TBW: 3524\nRZR to OSY: 4846\nATH to OOL: 15289\nATH to TBW: 2626\nATH to OSY: 3108\nOOL to TBW: 14701\nOOL to OSY: 15899\nOSY to TBW: 2325\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ATY, BRU, FOC, CMH, GRI, WLG, NGE, BEU\n- Travel distances (in kilometers) between each pair of airports:\nBME to BRU: 14030\nBME to FOC: 5575\nBME to CMH: 17808\nBME to GRI: 16799\nBME to WLG: 5605\nBME to ATY: 17118\nBME to BEU: 2826\nBME to NGE: 13996\nATY to BRU: 7101\nATY to FOC: 12118\nATY to CMH: 1314\nATY to GRI: 2585\nATY to WLG: 13224\nATY to BEU: 15393\nATY to NGE: 11817\nBRU to FOC: 9462\nBRU to CMH: 6533\nBRU to GRI: 8868\nBRU to WLG: 18781\nBRU to BEU: 15407\nBRU to NGE: 5063\nFOC to CMH: 12326\nFOC to GRI: 12665\nFOC to WLG: 9453\nFOC to BEU: 6177\nFOC to NGE: 11402\nCMH to GRI: 2392\nCMH to WLG: 14170\nCMH to BEU: 16339\nCMH to NGE: 10649\nGRI to WLG: 12905\nGRI to BEU: 15074\nGRI to NGE: 12903\nWLG to BEU: 4112\nWLG to NGE: 17608\nNGE to BEU: 15739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52315,
"style": "rule"
}
|
{
"exact_answer": 52315,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BME\", \"id\": 0}, {\"name\": \"ATY\", \"id\": 1}, {\"name\": \"BRU\", \"id\": 2}, {\"name\": \"FOC\", \"id\": 3}, {\"name\": \"CMH\", \"id\": 4}, {\"name\": \"GRI\", \"id\": 5}, {\"name\": \"WLG\", \"id\": 6}, {\"name\": \"NGE\", \"id\": 7}, {\"name\": \"BEU\", \"id\": 8}], \"links\": [{\"weight\": 14030, \"source\": 0, \"target\": 2}, {\"weight\": 5575, \"source\": 0, \"target\": 3}, {\"weight\": 17808, \"source\": 0, \"target\": 4}, {\"weight\": 16799, \"source\": 0, \"target\": 5}, {\"weight\": 5605, \"source\": 0, \"target\": 6}, {\"weight\": 17118, \"source\": 0, \"target\": 1}, {\"weight\": 2826, \"source\": 0, \"target\": 8}, {\"weight\": 13996, \"source\": 0, \"target\": 7}, {\"weight\": 7101, \"source\": 1, \"target\": 2}, {\"weight\": 12118, \"source\": 1, \"target\": 3}, {\"weight\": 1314, \"source\": 1, \"target\": 4}, {\"weight\": 2585, \"source\": 1, \"target\": 5}, {\"weight\": 13224, \"source\": 1, \"target\": 6}, {\"weight\": 15393, \"source\": 1, \"target\": 8}, {\"weight\": 11817, \"source\": 1, \"target\": 7}, {\"weight\": 9462, \"source\": 2, \"target\": 3}, {\"weight\": 6533, \"source\": 2, \"target\": 4}, {\"weight\": 8868, \"source\": 2, \"target\": 5}, {\"weight\": 18781, \"source\": 2, \"target\": 6}, {\"weight\": 15407, \"source\": 2, \"target\": 8}, {\"weight\": 5063, \"source\": 2, \"target\": 7}, {\"weight\": 12326, \"source\": 3, \"target\": 4}, {\"weight\": 12665, \"source\": 3, \"target\": 5}, {\"weight\": 9453, \"source\": 3, \"target\": 6}, {\"weight\": 6177, \"source\": 3, \"target\": 8}, {\"weight\": 11402, \"source\": 3, \"target\": 7}, {\"weight\": 2392, \"source\": 4, \"target\": 5}, {\"weight\": 14170, \"source\": 4, \"target\": 6}, {\"weight\": 16339, \"source\": 4, \"target\": 8}, {\"weight\": 10649, \"source\": 4, \"target\": 7}, {\"weight\": 12905, \"source\": 5, \"target\": 6}, {\"weight\": 15074, \"source\": 5, \"target\": 8}, {\"weight\": 12903, \"source\": 5, \"target\": 7}, {\"weight\": 4112, \"source\": 6, \"target\": 8}, {\"weight\": 17608, \"source\": 6, \"target\": 7}, {\"weight\": 15739, \"source\": 7, \"target\": 8}]}",
"id": 1174,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, ATY, BRU, FOC, CMH, GRI, WLG, NGE, BEU\n- Travel distances (in kilometers) between each pair of airports:\nBME to BRU: 14030\nBME to FOC: 5575\nBME to CMH: 17808\nBME to GRI: 16799\nBME to WLG: 5605\nBME to ATY: 17118\nBME to BEU: 2826\nBME to NGE: 13996\nATY to BRU: 7101\nATY to FOC: 12118\nATY to CMH: 1314\nATY to GRI: 2585\nATY to WLG: 13224\nATY to BEU: 15393\nATY to NGE: 11817\nBRU to FOC: 9462\nBRU to CMH: 6533\nBRU to GRI: 8868\nBRU to WLG: 18781\nBRU to BEU: 15407\nBRU to NGE: 5063\nFOC to CMH: 12326\nFOC to GRI: 12665\nFOC to WLG: 9453\nFOC to BEU: 6177\nFOC to NGE: 11402\nCMH to GRI: 2392\nCMH to WLG: 14170\nCMH to BEU: 16339\nCMH to NGE: 10649\nGRI to WLG: 12905\nGRI to BEU: 15074\nGRI to NGE: 12903\nWLG to BEU: 4112\nWLG to NGE: 17608\nNGE to BEU: 15739\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TXL, XUZ, ELS, UAK, ONT, EDR, BVH, BDO, SDY\n- Travel distances (in kilometers) between each pair of airports:\nTXL to XUZ: 8091\nTXL to SDY: 8853\nTXL to ONT: 9526\nTXL to BVH: 11012\nTXL to BDO: 10966\nTXL to UAK: 4348\nTXL to ELS: 9690\nTXL to EDR: 14801\nXUZ to SDY: 10649\nXUZ to ONT: 10732\nXUZ to BVH: 19091\nXUZ to BDO: 4916\nXUZ to UAK: 11464\nXUZ to ELS: 12382\nXUZ to EDR: 7432\nELS to SDY: 16840\nELS to ONT: 17419\nELS to BVH: 10075\nELS to BDO: 10034\nELS to UAK: 13600\nELS to EDR: 13004\nUAK to SDY: 8712\nUAK to ONT: 8904\nUAK to BVH: 13605\nUAK to BDO: 14577\nUAK to EDR: 18179\nONT to SDY: 1912\nONT to BVH: 9879\nONT to BDO: 15035\nONT to EDR: 13859\nEDR to SDY: 15108\nEDR to BVH: 18000\nEDR to BDO: 4795\nBVH to SDY: 10192\nBVH to BDO: 18964\nBDO to SDY: 15385\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65278,
"style": "rule"
}
|
{
"exact_answer": 65278,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TXL\", \"id\": 0}, {\"name\": \"XUZ\", \"id\": 1}, {\"name\": \"ELS\", \"id\": 2}, {\"name\": \"UAK\", \"id\": 3}, {\"name\": \"ONT\", \"id\": 4}, {\"name\": \"EDR\", \"id\": 5}, {\"name\": \"BVH\", \"id\": 6}, {\"name\": \"BDO\", \"id\": 7}, {\"name\": \"SDY\", \"id\": 8}], \"links\": [{\"weight\": 8091, \"source\": 0, \"target\": 1}, {\"weight\": 8853, \"source\": 0, \"target\": 8}, {\"weight\": 9526, \"source\": 0, \"target\": 4}, {\"weight\": 11012, \"source\": 0, \"target\": 6}, {\"weight\": 10966, \"source\": 0, \"target\": 7}, {\"weight\": 4348, \"source\": 0, \"target\": 3}, {\"weight\": 9690, \"source\": 0, \"target\": 2}, {\"weight\": 14801, \"source\": 0, \"target\": 5}, {\"weight\": 10649, \"source\": 1, \"target\": 8}, {\"weight\": 10732, \"source\": 1, \"target\": 4}, {\"weight\": 19091, \"source\": 1, \"target\": 6}, {\"weight\": 4916, \"source\": 1, \"target\": 7}, {\"weight\": 11464, \"source\": 1, \"target\": 3}, {\"weight\": 12382, \"source\": 1, \"target\": 2}, {\"weight\": 7432, \"source\": 1, \"target\": 5}, {\"weight\": 16840, \"source\": 2, \"target\": 8}, {\"weight\": 17419, \"source\": 2, \"target\": 4}, {\"weight\": 10075, \"source\": 2, \"target\": 6}, {\"weight\": 10034, \"source\": 2, \"target\": 7}, {\"weight\": 13600, \"source\": 2, \"target\": 3}, {\"weight\": 13004, \"source\": 2, \"target\": 5}, {\"weight\": 8712, \"source\": 3, \"target\": 8}, {\"weight\": 8904, \"source\": 3, \"target\": 4}, {\"weight\": 13605, \"source\": 3, \"target\": 6}, {\"weight\": 14577, \"source\": 3, \"target\": 7}, {\"weight\": 18179, \"source\": 3, \"target\": 5}, {\"weight\": 1912, \"source\": 4, \"target\": 8}, {\"weight\": 9879, \"source\": 4, \"target\": 6}, {\"weight\": 15035, \"source\": 4, \"target\": 7}, {\"weight\": 13859, \"source\": 4, \"target\": 5}, {\"weight\": 15108, \"source\": 5, \"target\": 8}, {\"weight\": 18000, \"source\": 5, \"target\": 6}, {\"weight\": 4795, \"source\": 5, \"target\": 7}, {\"weight\": 10192, \"source\": 6, \"target\": 8}, {\"weight\": 18964, \"source\": 6, \"target\": 7}, {\"weight\": 15385, \"source\": 7, \"target\": 8}]}",
"id": 1175,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TXL, XUZ, ELS, UAK, ONT, EDR, BVH, BDO, SDY\n- Travel distances (in kilometers) between each pair of airports:\nTXL to XUZ: 8091\nTXL to SDY: 8853\nTXL to ONT: 9526\nTXL to BVH: 11012\nTXL to BDO: 10966\nTXL to UAK: 4348\nTXL to ELS: 9690\nTXL to EDR: 14801\nXUZ to SDY: 10649\nXUZ to ONT: 10732\nXUZ to BVH: 19091\nXUZ to BDO: 4916\nXUZ to UAK: 11464\nXUZ to ELS: 12382\nXUZ to EDR: 7432\nELS to SDY: 16840\nELS to ONT: 17419\nELS to BVH: 10075\nELS to BDO: 10034\nELS to UAK: 13600\nELS to EDR: 13004\nUAK to SDY: 8712\nUAK to ONT: 8904\nUAK to BVH: 13605\nUAK to BDO: 14577\nUAK to EDR: 18179\nONT to SDY: 1912\nONT to BVH: 9879\nONT to BDO: 15035\nONT to EDR: 13859\nEDR to SDY: 15108\nEDR to BVH: 18000\nEDR to BDO: 4795\nBVH to SDY: 10192\nBVH to BDO: 18964\nBDO to SDY: 15385\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HLD, ORH, RIA, LYA, JJN, RLK, WSN, OZZ, GHB\n- Travel distances (in kilometers) between each pair of airports:\nHLD to GHB: 13794\nHLD to JJN: 2716\nHLD to LYA: 1745\nHLD to RIA: 18171\nHLD to OZZ: 9800\nHLD to ORH: 14984\nHLD to RLK: 1489\nHLD to WSN: 12175\nORH to GHB: 2344\nORH to JJN: 15482\nORH to LYA: 14637\nORH to RIA: 9246\nORH to OZZ: 9350\nORH to RLK: 14718\nORH to WSN: 8390\nRIA to GHB: 7437\nRIA to JJN: 19556\nRIA to LYA: 19106\nRIA to OZZ: 8926\nRIA to RLK: 18331\nRIA to WSN: 14120\nLYA to GHB: 13447\nLYA to JJN: 1675\nLYA to OZZ: 11013\nLYA to RLK: 1479\nLYA to WSN: 12185\nJJN to GHB: 14335\nJJN to OZZ: 11778\nJJN to RLK: 2167\nJJN to WSN: 12767\nRLK to GHB: 13528\nRLK to OZZ: 10195\nRLK to WSN: 12266\nWSN to GHB: 7269\nWSN to OZZ: 12000\nOZZ to GHB: 7957\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54307,
"style": "rule"
}
|
{
"exact_answer": 54307,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HLD\", \"id\": 0}, {\"name\": \"ORH\", \"id\": 1}, {\"name\": \"RIA\", \"id\": 2}, {\"name\": \"LYA\", \"id\": 3}, {\"name\": \"JJN\", \"id\": 4}, {\"name\": \"RLK\", \"id\": 5}, {\"name\": \"WSN\", \"id\": 6}, {\"name\": \"OZZ\", \"id\": 7}, {\"name\": \"GHB\", \"id\": 8}], \"links\": [{\"weight\": 13794, \"source\": 0, \"target\": 8}, {\"weight\": 2716, \"source\": 0, \"target\": 4}, {\"weight\": 1745, \"source\": 0, \"target\": 3}, {\"weight\": 18171, \"source\": 0, \"target\": 2}, {\"weight\": 9800, \"source\": 0, \"target\": 7}, {\"weight\": 14984, \"source\": 0, \"target\": 1}, {\"weight\": 1489, \"source\": 0, \"target\": 5}, {\"weight\": 12175, \"source\": 0, \"target\": 6}, {\"weight\": 2344, \"source\": 1, \"target\": 8}, {\"weight\": 15482, \"source\": 1, \"target\": 4}, {\"weight\": 14637, \"source\": 1, \"target\": 3}, {\"weight\": 9246, \"source\": 1, \"target\": 2}, {\"weight\": 9350, \"source\": 1, \"target\": 7}, {\"weight\": 14718, \"source\": 1, \"target\": 5}, {\"weight\": 8390, \"source\": 1, \"target\": 6}, {\"weight\": 7437, \"source\": 2, \"target\": 8}, {\"weight\": 19556, \"source\": 2, \"target\": 4}, {\"weight\": 19106, \"source\": 2, \"target\": 3}, {\"weight\": 8926, \"source\": 2, \"target\": 7}, {\"weight\": 18331, \"source\": 2, \"target\": 5}, {\"weight\": 14120, \"source\": 2, \"target\": 6}, {\"weight\": 13447, \"source\": 3, \"target\": 8}, {\"weight\": 1675, \"source\": 3, \"target\": 4}, {\"weight\": 11013, \"source\": 3, \"target\": 7}, {\"weight\": 1479, \"source\": 3, \"target\": 5}, {\"weight\": 12185, \"source\": 3, \"target\": 6}, {\"weight\": 14335, \"source\": 4, \"target\": 8}, {\"weight\": 11778, \"source\": 4, \"target\": 7}, {\"weight\": 2167, \"source\": 4, \"target\": 5}, {\"weight\": 12767, \"source\": 4, \"target\": 6}, {\"weight\": 13528, \"source\": 5, \"target\": 8}, {\"weight\": 10195, \"source\": 5, \"target\": 7}, {\"weight\": 12266, \"source\": 5, \"target\": 6}, {\"weight\": 7269, \"source\": 6, \"target\": 8}, {\"weight\": 12000, \"source\": 6, \"target\": 7}, {\"weight\": 7957, \"source\": 7, \"target\": 8}]}",
"id": 1176,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HLD, ORH, RIA, LYA, JJN, RLK, WSN, OZZ, GHB\n- Travel distances (in kilometers) between each pair of airports:\nHLD to GHB: 13794\nHLD to JJN: 2716\nHLD to LYA: 1745\nHLD to RIA: 18171\nHLD to OZZ: 9800\nHLD to ORH: 14984\nHLD to RLK: 1489\nHLD to WSN: 12175\nORH to GHB: 2344\nORH to JJN: 15482\nORH to LYA: 14637\nORH to RIA: 9246\nORH to OZZ: 9350\nORH to RLK: 14718\nORH to WSN: 8390\nRIA to GHB: 7437\nRIA to JJN: 19556\nRIA to LYA: 19106\nRIA to OZZ: 8926\nRIA to RLK: 18331\nRIA to WSN: 14120\nLYA to GHB: 13447\nLYA to JJN: 1675\nLYA to OZZ: 11013\nLYA to RLK: 1479\nLYA to WSN: 12185\nJJN to GHB: 14335\nJJN to OZZ: 11778\nJJN to RLK: 2167\nJJN to WSN: 12767\nRLK to GHB: 13528\nRLK to OZZ: 10195\nRLK to WSN: 12266\nWSN to GHB: 7269\nWSN to OZZ: 12000\nOZZ to GHB: 7957\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASJ, LRS, YXX, SJK, HYA, CEI, CRW, TNK, NJF\n- Travel distances (in kilometers) between each pair of airports:\nASJ to TNK: 12098\nASJ to CRW: 12076\nASJ to HYA: 12209\nASJ to LRS: 10600\nASJ to SJK: 20168\nASJ to CEI: 4842\nASJ to NJF: 9135\nASJ to YXX: 9935\nLRS to TNK: 13429\nLRS to CRW: 8925\nLRS to HYA: 8004\nLRS to SJK: 10888\nLRS to CEI: 8462\nLRS to NJF: 2117\nLRS to YXX: 10168\nYXX to TNK: 4515\nYXX to CRW: 3531\nYXX to HYA: 4110\nYXX to SJK: 11672\nYXX to CEI: 12562\nYXX to NJF: 11551\nSJK to TNK: 14263\nSJK to CRW: 8396\nSJK to HYA: 8346\nSJK to CEI: 17760\nSJK to NJF: 12176\nHYA to TNK: 6769\nHYA to CRW: 1058\nHYA to CEI: 14119\nHYA to NJF: 9557\nCEI to TNK: 14577\nCEI to CRW: 13845\nCEI to NJF: 6490\nCRW to TNK: 6064\nCRW to NJF: 10485\nTNK to NJF: 14819\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53885,
"style": "rule"
}
|
{
"exact_answer": 53885,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ASJ\", \"id\": 0}, {\"name\": \"LRS\", \"id\": 1}, {\"name\": \"YXX\", \"id\": 2}, {\"name\": \"SJK\", \"id\": 3}, {\"name\": \"HYA\", \"id\": 4}, {\"name\": \"CEI\", \"id\": 5}, {\"name\": \"CRW\", \"id\": 6}, {\"name\": \"TNK\", \"id\": 7}, {\"name\": \"NJF\", \"id\": 8}], \"links\": [{\"weight\": 12098, \"source\": 0, \"target\": 7}, {\"weight\": 12076, \"source\": 0, \"target\": 6}, {\"weight\": 12209, \"source\": 0, \"target\": 4}, {\"weight\": 10600, \"source\": 0, \"target\": 1}, {\"weight\": 20168, \"source\": 0, \"target\": 3}, {\"weight\": 4842, \"source\": 0, \"target\": 5}, {\"weight\": 9135, \"source\": 0, \"target\": 8}, {\"weight\": 9935, \"source\": 0, \"target\": 2}, {\"weight\": 13429, \"source\": 1, \"target\": 7}, {\"weight\": 8925, \"source\": 1, \"target\": 6}, {\"weight\": 8004, \"source\": 1, \"target\": 4}, {\"weight\": 10888, \"source\": 1, \"target\": 3}, {\"weight\": 8462, \"source\": 1, \"target\": 5}, {\"weight\": 2117, \"source\": 1, \"target\": 8}, {\"weight\": 10168, \"source\": 1, \"target\": 2}, {\"weight\": 4515, \"source\": 2, \"target\": 7}, {\"weight\": 3531, \"source\": 2, \"target\": 6}, {\"weight\": 4110, \"source\": 2, \"target\": 4}, {\"weight\": 11672, \"source\": 2, \"target\": 3}, {\"weight\": 12562, \"source\": 2, \"target\": 5}, {\"weight\": 11551, \"source\": 2, \"target\": 8}, {\"weight\": 14263, \"source\": 3, \"target\": 7}, {\"weight\": 8396, \"source\": 3, \"target\": 6}, {\"weight\": 8346, \"source\": 3, \"target\": 4}, {\"weight\": 17760, \"source\": 3, \"target\": 5}, {\"weight\": 12176, \"source\": 3, \"target\": 8}, {\"weight\": 6769, \"source\": 4, \"target\": 7}, {\"weight\": 1058, \"source\": 4, \"target\": 6}, {\"weight\": 14119, \"source\": 4, \"target\": 5}, {\"weight\": 9557, \"source\": 4, \"target\": 8}, {\"weight\": 14577, \"source\": 5, \"target\": 7}, {\"weight\": 13845, \"source\": 5, \"target\": 6}, {\"weight\": 6490, \"source\": 5, \"target\": 8}, {\"weight\": 6064, \"source\": 6, \"target\": 7}, {\"weight\": 10485, \"source\": 6, \"target\": 8}, {\"weight\": 14819, \"source\": 7, \"target\": 8}]}",
"id": 1177,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ASJ, LRS, YXX, SJK, HYA, CEI, CRW, TNK, NJF\n- Travel distances (in kilometers) between each pair of airports:\nASJ to TNK: 12098\nASJ to CRW: 12076\nASJ to HYA: 12209\nASJ to LRS: 10600\nASJ to SJK: 20168\nASJ to CEI: 4842\nASJ to NJF: 9135\nASJ to YXX: 9935\nLRS to TNK: 13429\nLRS to CRW: 8925\nLRS to HYA: 8004\nLRS to SJK: 10888\nLRS to CEI: 8462\nLRS to NJF: 2117\nLRS to YXX: 10168\nYXX to TNK: 4515\nYXX to CRW: 3531\nYXX to HYA: 4110\nYXX to SJK: 11672\nYXX to CEI: 12562\nYXX to NJF: 11551\nSJK to TNK: 14263\nSJK to CRW: 8396\nSJK to HYA: 8346\nSJK to CEI: 17760\nSJK to NJF: 12176\nHYA to TNK: 6769\nHYA to CRW: 1058\nHYA to CEI: 14119\nHYA to NJF: 9557\nCEI to TNK: 14577\nCEI to CRW: 13845\nCEI to NJF: 6490\nCRW to TNK: 6064\nCRW to NJF: 10485\nTNK to NJF: 14819\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, FYU, TLA, JUJ, SHA, TTU, VST, SCW, PVC\n- Travel distances (in kilometers) between each pair of airports:\nTZA to FYU: 7272\nTZA to SCW: 10973\nTZA to TLA: 7775\nTZA to SHA: 13917\nTZA to PVC: 3298\nTZA to JUJ: 6840\nTZA to TTU: 8865\nTZA to VST: 9766\nFYU to SCW: 12375\nFYU to TLA: 1601\nFYU to SHA: 12071\nFYU to PVC: 6563\nFYU to JUJ: 14024\nFYU to TTU: 12210\nFYU to VST: 11715\nTLA to SCW: 12966\nTLA to SHA: 12662\nTLA to PVC: 6872\nTLA to JUJ: 14561\nTLA to TTU: 12519\nTLA to VST: 12306\nJUJ to SCW: 15396\nJUJ to SHA: 20602\nJUJ to PVC: 9409\nJUJ to TTU: 10590\nJUJ to VST: 13600\nSHA to SCW: 6224\nSHA to PVC: 12422\nSHA to TTU: 11434\nSHA to VST: 10497\nTTU to SCW: 5478\nTTU to PVC: 6136\nTTU to VST: 3748\nVST to SCW: 4511\nVST to PVC: 6674\nSCW to PVC: 7821\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55755,
"style": "rule"
}
|
{
"exact_answer": 55755,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TZA\", \"id\": 0}, {\"name\": \"FYU\", \"id\": 1}, {\"name\": \"TLA\", \"id\": 2}, {\"name\": \"JUJ\", \"id\": 3}, {\"name\": \"SHA\", \"id\": 4}, {\"name\": \"TTU\", \"id\": 5}, {\"name\": \"VST\", \"id\": 6}, {\"name\": \"SCW\", \"id\": 7}, {\"name\": \"PVC\", \"id\": 8}], \"links\": [{\"weight\": 7272, \"source\": 0, \"target\": 1}, {\"weight\": 10973, \"source\": 0, \"target\": 7}, {\"weight\": 7775, \"source\": 0, \"target\": 2}, {\"weight\": 13917, \"source\": 0, \"target\": 4}, {\"weight\": 3298, \"source\": 0, \"target\": 8}, {\"weight\": 6840, \"source\": 0, \"target\": 3}, {\"weight\": 8865, \"source\": 0, \"target\": 5}, {\"weight\": 9766, \"source\": 0, \"target\": 6}, {\"weight\": 12375, \"source\": 1, \"target\": 7}, {\"weight\": 1601, \"source\": 1, \"target\": 2}, {\"weight\": 12071, \"source\": 1, \"target\": 4}, {\"weight\": 6563, \"source\": 1, \"target\": 8}, {\"weight\": 14024, \"source\": 1, \"target\": 3}, {\"weight\": 12210, \"source\": 1, \"target\": 5}, {\"weight\": 11715, \"source\": 1, \"target\": 6}, {\"weight\": 12966, \"source\": 2, \"target\": 7}, {\"weight\": 12662, \"source\": 2, \"target\": 4}, {\"weight\": 6872, \"source\": 2, \"target\": 8}, {\"weight\": 14561, \"source\": 2, \"target\": 3}, {\"weight\": 12519, \"source\": 2, \"target\": 5}, {\"weight\": 12306, \"source\": 2, \"target\": 6}, {\"weight\": 15396, \"source\": 3, \"target\": 7}, {\"weight\": 20602, \"source\": 3, \"target\": 4}, {\"weight\": 9409, \"source\": 3, \"target\": 8}, {\"weight\": 10590, \"source\": 3, \"target\": 5}, {\"weight\": 13600, \"source\": 3, \"target\": 6}, {\"weight\": 6224, \"source\": 4, \"target\": 7}, {\"weight\": 12422, \"source\": 4, \"target\": 8}, {\"weight\": 11434, \"source\": 4, \"target\": 5}, {\"weight\": 10497, \"source\": 4, \"target\": 6}, {\"weight\": 5478, \"source\": 5, \"target\": 7}, {\"weight\": 6136, \"source\": 5, \"target\": 8}, {\"weight\": 3748, \"source\": 5, \"target\": 6}, {\"weight\": 4511, \"source\": 6, \"target\": 7}, {\"weight\": 6674, \"source\": 6, \"target\": 8}, {\"weight\": 7821, \"source\": 7, \"target\": 8}]}",
"id": 1178,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that 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, FYU, TLA, JUJ, SHA, TTU, VST, SCW, PVC\n- Travel distances (in kilometers) between each pair of airports:\nTZA to FYU: 7272\nTZA to SCW: 10973\nTZA to TLA: 7775\nTZA to SHA: 13917\nTZA to PVC: 3298\nTZA to JUJ: 6840\nTZA to TTU: 8865\nTZA to VST: 9766\nFYU to SCW: 12375\nFYU to TLA: 1601\nFYU to SHA: 12071\nFYU to PVC: 6563\nFYU to JUJ: 14024\nFYU to TTU: 12210\nFYU to VST: 11715\nTLA to SCW: 12966\nTLA to SHA: 12662\nTLA to PVC: 6872\nTLA to JUJ: 14561\nTLA to TTU: 12519\nTLA to VST: 12306\nJUJ to SCW: 15396\nJUJ to SHA: 20602\nJUJ to PVC: 9409\nJUJ to TTU: 10590\nJUJ to VST: 13600\nSHA to SCW: 6224\nSHA to PVC: 12422\nSHA to TTU: 11434\nSHA to VST: 10497\nTTU to SCW: 5478\nTTU to PVC: 6136\nTTU to VST: 3748\nVST to SCW: 4511\nVST to PVC: 6674\nSCW to PVC: 7821\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GEG, DPS, DYG, TOH, BDA, BFL, IXJ, AGF, ARN\n- Travel distances (in kilometers) between each pair of airports:\nGEG to ARN: 8311\nGEG to DYG: 10379\nGEG to DPS: 13623\nGEG to IXJ: 13352\nGEG to AGF: 8949\nGEG to BDA: 4721\nGEG to BFL: 1685\nGEG to TOH: 11267\nDPS to ARN: 11254\nDPS to DYG: 4275\nDPS to IXJ: 6336\nDPS to AGF: 12801\nDPS to BDA: 17585\nDPS to BFL: 14220\nDPS to TOH: 6742\nDYG to ARN: 7419\nDYG to IXJ: 3787\nDYG to AGF: 9417\nDYG to BDA: 13546\nDYG to BFL: 11219\nDYG to TOH: 9143\nTOH to ARN: 16291\nTOH to IXJ: 12560\nTOH to AGF: 18335\nTOH to BDA: 15386\nTOH to BFL: 10593\nBDA to ARN: 7014\nBDA to IXJ: 12333\nBDA to AGF: 6862\nBDA to BFL: 5076\nBFL to ARN: 9039\nBFL to IXJ: 14192\nBFL to AGF: 9742\nIXJ to ARN: 5602\nIXJ to AGF: 7047\nAGF to ARN: 2095\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46362,
"style": "rule"
}
|
{
"exact_answer": 46362,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GEG\", \"id\": 0}, {\"name\": \"DPS\", \"id\": 1}, {\"name\": \"DYG\", \"id\": 2}, {\"name\": \"TOH\", \"id\": 3}, {\"name\": \"BDA\", \"id\": 4}, {\"name\": \"BFL\", \"id\": 5}, {\"name\": \"IXJ\", \"id\": 6}, {\"name\": \"AGF\", \"id\": 7}, {\"name\": \"ARN\", \"id\": 8}], \"links\": [{\"weight\": 8311, \"source\": 0, \"target\": 8}, {\"weight\": 10379, \"source\": 0, \"target\": 2}, {\"weight\": 13623, \"source\": 0, \"target\": 1}, {\"weight\": 13352, \"source\": 0, \"target\": 6}, {\"weight\": 8949, \"source\": 0, \"target\": 7}, {\"weight\": 4721, \"source\": 0, \"target\": 4}, {\"weight\": 1685, \"source\": 0, \"target\": 5}, {\"weight\": 11267, \"source\": 0, \"target\": 3}, {\"weight\": 11254, \"source\": 1, \"target\": 8}, {\"weight\": 4275, \"source\": 1, \"target\": 2}, {\"weight\": 6336, \"source\": 1, \"target\": 6}, {\"weight\": 12801, \"source\": 1, \"target\": 7}, {\"weight\": 17585, \"source\": 1, \"target\": 4}, {\"weight\": 14220, \"source\": 1, \"target\": 5}, {\"weight\": 6742, \"source\": 1, \"target\": 3}, {\"weight\": 7419, \"source\": 2, \"target\": 8}, {\"weight\": 3787, \"source\": 2, \"target\": 6}, {\"weight\": 9417, \"source\": 2, \"target\": 7}, {\"weight\": 13546, \"source\": 2, \"target\": 4}, {\"weight\": 11219, \"source\": 2, \"target\": 5}, {\"weight\": 9143, \"source\": 2, \"target\": 3}, {\"weight\": 16291, \"source\": 3, \"target\": 8}, {\"weight\": 12560, \"source\": 3, \"target\": 6}, {\"weight\": 18335, \"source\": 3, \"target\": 7}, {\"weight\": 15386, \"source\": 3, \"target\": 4}, {\"weight\": 10593, \"source\": 3, \"target\": 5}, {\"weight\": 7014, \"source\": 4, \"target\": 8}, {\"weight\": 12333, \"source\": 4, \"target\": 6}, {\"weight\": 6862, \"source\": 4, \"target\": 7}, {\"weight\": 5076, \"source\": 4, \"target\": 5}, {\"weight\": 9039, \"source\": 5, \"target\": 8}, {\"weight\": 14192, \"source\": 5, \"target\": 6}, {\"weight\": 9742, \"source\": 5, \"target\": 7}, {\"weight\": 5602, \"source\": 6, \"target\": 8}, {\"weight\": 7047, \"source\": 6, \"target\": 7}, {\"weight\": 2095, \"source\": 7, \"target\": 8}]}",
"id": 1179,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GEG, DPS, DYG, TOH, BDA, BFL, IXJ, AGF, ARN\n- Travel distances (in kilometers) between each pair of airports:\nGEG to ARN: 8311\nGEG to DYG: 10379\nGEG to DPS: 13623\nGEG to IXJ: 13352\nGEG to AGF: 8949\nGEG to BDA: 4721\nGEG to BFL: 1685\nGEG to TOH: 11267\nDPS to ARN: 11254\nDPS to DYG: 4275\nDPS to IXJ: 6336\nDPS to AGF: 12801\nDPS to BDA: 17585\nDPS to BFL: 14220\nDPS to TOH: 6742\nDYG to ARN: 7419\nDYG to IXJ: 3787\nDYG to AGF: 9417\nDYG to BDA: 13546\nDYG to BFL: 11219\nDYG to TOH: 9143\nTOH to ARN: 16291\nTOH to IXJ: 12560\nTOH to AGF: 18335\nTOH to BDA: 15386\nTOH to BFL: 10593\nBDA to ARN: 7014\nBDA to IXJ: 12333\nBDA to AGF: 6862\nBDA to BFL: 5076\nBFL to ARN: 9039\nBFL to IXJ: 14192\nBFL to AGF: 9742\nIXJ to ARN: 5602\nIXJ to AGF: 7047\nAGF to ARN: 2095\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSD, GUR, RGN, THX, SWJ, STR, MGB, CJA, POM\n- Travel distances (in kilometers) between each pair of airports:\nKSD to RGN: 8179\nKSD to STR: 1609\nKSD to POM: 13529\nKSD to GUR: 13883\nKSD to CJA: 12494\nKSD to SWJ: 16153\nKSD to THX: 5600\nKSD to MGB: 15643\nGUR to POM: 354\nGUR to RGN: 7075\nGUR to STR: 14615\nGUR to CJA: 17415\nGUR to SWJ: 3206\nGUR to THX: 10759\nGUR to MGB: 3699\nRGN to STR: 8429\nRGN to POM: 6721\nRGN to CJA: 19689\nRGN to SWJ: 9573\nRGN to THX: 6485\nRGN to MGB: 7699\nTHX to STR: 6483\nTHX to POM: 10405\nTHX to CJA: 17448\nTHX to SWJ: 12930\nTHX to MGB: 12653\nSWJ to STR: 17113\nSWJ to POM: 2852\nSWJ to CJA: 15078\nSWJ to MGB: 3708\nSTR to POM: 14261\nSTR to CJA: 11328\nSTR to MGB: 16019\nMGB to POM: 3345\nMGB to CJA: 15426\nCJA to POM: 17061\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54437,
"style": "rule"
}
|
{
"exact_answer": 54437,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KSD\", \"id\": 0}, {\"name\": \"GUR\", \"id\": 1}, {\"name\": \"RGN\", \"id\": 2}, {\"name\": \"THX\", \"id\": 3}, {\"name\": \"SWJ\", \"id\": 4}, {\"name\": \"STR\", \"id\": 5}, {\"name\": \"MGB\", \"id\": 6}, {\"name\": \"CJA\", \"id\": 7}, {\"name\": \"POM\", \"id\": 8}], \"links\": [{\"weight\": 8179, \"source\": 0, \"target\": 2}, {\"weight\": 1609, \"source\": 0, \"target\": 5}, {\"weight\": 13529, \"source\": 0, \"target\": 8}, {\"weight\": 13883, \"source\": 0, \"target\": 1}, {\"weight\": 12494, \"source\": 0, \"target\": 7}, {\"weight\": 16153, \"source\": 0, \"target\": 4}, {\"weight\": 5600, \"source\": 0, \"target\": 3}, {\"weight\": 15643, \"source\": 0, \"target\": 6}, {\"weight\": 354, \"source\": 1, \"target\": 8}, {\"weight\": 7075, \"source\": 1, \"target\": 2}, {\"weight\": 14615, \"source\": 1, \"target\": 5}, {\"weight\": 17415, \"source\": 1, \"target\": 7}, {\"weight\": 3206, \"source\": 1, \"target\": 4}, {\"weight\": 10759, \"source\": 1, \"target\": 3}, {\"weight\": 3699, \"source\": 1, \"target\": 6}, {\"weight\": 8429, \"source\": 2, \"target\": 5}, {\"weight\": 6721, \"source\": 2, \"target\": 8}, {\"weight\": 19689, \"source\": 2, \"target\": 7}, {\"weight\": 9573, \"source\": 2, \"target\": 4}, {\"weight\": 6485, \"source\": 2, \"target\": 3}, {\"weight\": 7699, \"source\": 2, \"target\": 6}, {\"weight\": 6483, \"source\": 3, \"target\": 5}, {\"weight\": 10405, \"source\": 3, \"target\": 8}, {\"weight\": 17448, \"source\": 3, \"target\": 7}, {\"weight\": 12930, \"source\": 3, \"target\": 4}, {\"weight\": 12653, \"source\": 3, \"target\": 6}, {\"weight\": 17113, \"source\": 4, \"target\": 5}, {\"weight\": 2852, \"source\": 4, \"target\": 8}, {\"weight\": 15078, \"source\": 4, \"target\": 7}, {\"weight\": 3708, \"source\": 4, \"target\": 6}, {\"weight\": 14261, \"source\": 5, \"target\": 8}, {\"weight\": 11328, \"source\": 5, \"target\": 7}, {\"weight\": 16019, \"source\": 5, \"target\": 6}, {\"weight\": 3345, \"source\": 6, \"target\": 8}, {\"weight\": 15426, \"source\": 6, \"target\": 7}, {\"weight\": 17061, \"source\": 7, \"target\": 8}]}",
"id": 1180,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KSD, GUR, RGN, THX, SWJ, STR, MGB, CJA, POM\n- Travel distances (in kilometers) between each pair of airports:\nKSD to RGN: 8179\nKSD to STR: 1609\nKSD to POM: 13529\nKSD to GUR: 13883\nKSD to CJA: 12494\nKSD to SWJ: 16153\nKSD to THX: 5600\nKSD to MGB: 15643\nGUR to POM: 354\nGUR to RGN: 7075\nGUR to STR: 14615\nGUR to CJA: 17415\nGUR to SWJ: 3206\nGUR to THX: 10759\nGUR to MGB: 3699\nRGN to STR: 8429\nRGN to POM: 6721\nRGN to CJA: 19689\nRGN to SWJ: 9573\nRGN to THX: 6485\nRGN to MGB: 7699\nTHX to STR: 6483\nTHX to POM: 10405\nTHX to CJA: 17448\nTHX to SWJ: 12930\nTHX to MGB: 12653\nSWJ to STR: 17113\nSWJ to POM: 2852\nSWJ to CJA: 15078\nSWJ to MGB: 3708\nSTR to POM: 14261\nSTR to CJA: 11328\nSTR to MGB: 16019\nMGB to POM: 3345\nMGB to CJA: 15426\nCJA to POM: 17061\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAB, INN, HEA, SRP, MSL, VRC, LCA, PAF, TMI\n- Travel distances (in kilometers) between each pair of airports:\nYAB to LCA: 10694\nYAB to MSL: 5188\nYAB to HEA: 12961\nYAB to VRC: 16148\nYAB to PAF: 14172\nYAB to INN: 8439\nYAB to SRP: 8427\nYAB to TMI: 15146\nINN to LCA: 2438\nINN to MSL: 8046\nINN to HEA: 4686\nINN to VRC: 10621\nINN to PAF: 6372\nINN to SRP: 1473\nINN to TMI: 6947\nHEA to LCA: 2740\nHEA to MSL: 12619\nHEA to VRC: 6779\nHEA to PAF: 5490\nHEA to SRP: 5703\nHEA to TMI: 2543\nSRP to LCA: 3464\nSRP to MSL: 7361\nSRP to VRC: 10400\nSRP to PAF: 7451\nSRP to TMI: 7288\nMSL to LCA: 10351\nMSL to VRC: 14730\nMSL to PAF: 13435\nMSL to TMI: 14172\nVRC to LCA: 9355\nVRC to PAF: 10550\nVRC to TMI: 4606\nLCA to PAF: 4173\nLCA to TMI: 5203\nPAF to TMI: 7028\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49068,
"style": "rule"
}
|
{
"exact_answer": 49068,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAB\", \"id\": 0}, {\"name\": \"INN\", \"id\": 1}, {\"name\": \"HEA\", \"id\": 2}, {\"name\": \"SRP\", \"id\": 3}, {\"name\": \"MSL\", \"id\": 4}, {\"name\": \"VRC\", \"id\": 5}, {\"name\": \"LCA\", \"id\": 6}, {\"name\": \"PAF\", \"id\": 7}, {\"name\": \"TMI\", \"id\": 8}], \"links\": [{\"weight\": 10694, \"source\": 0, \"target\": 6}, {\"weight\": 5188, \"source\": 0, \"target\": 4}, {\"weight\": 12961, \"source\": 0, \"target\": 2}, {\"weight\": 16148, \"source\": 0, \"target\": 5}, {\"weight\": 14172, \"source\": 0, \"target\": 7}, {\"weight\": 8439, \"source\": 0, \"target\": 1}, {\"weight\": 8427, \"source\": 0, \"target\": 3}, {\"weight\": 15146, \"source\": 0, \"target\": 8}, {\"weight\": 2438, \"source\": 1, \"target\": 6}, {\"weight\": 8046, \"source\": 1, \"target\": 4}, {\"weight\": 4686, \"source\": 1, \"target\": 2}, {\"weight\": 10621, \"source\": 1, \"target\": 5}, {\"weight\": 6372, \"source\": 1, \"target\": 7}, {\"weight\": 1473, \"source\": 1, \"target\": 3}, {\"weight\": 6947, \"source\": 1, \"target\": 8}, {\"weight\": 2740, \"source\": 2, \"target\": 6}, {\"weight\": 12619, \"source\": 2, \"target\": 4}, {\"weight\": 6779, \"source\": 2, \"target\": 5}, {\"weight\": 5490, \"source\": 2, \"target\": 7}, {\"weight\": 5703, \"source\": 2, \"target\": 3}, {\"weight\": 2543, \"source\": 2, \"target\": 8}, {\"weight\": 3464, \"source\": 3, \"target\": 6}, {\"weight\": 7361, \"source\": 3, \"target\": 4}, {\"weight\": 10400, \"source\": 3, \"target\": 5}, {\"weight\": 7451, \"source\": 3, \"target\": 7}, {\"weight\": 7288, \"source\": 3, \"target\": 8}, {\"weight\": 10351, \"source\": 4, \"target\": 6}, {\"weight\": 14730, \"source\": 4, \"target\": 5}, {\"weight\": 13435, \"source\": 4, \"target\": 7}, {\"weight\": 14172, \"source\": 4, \"target\": 8}, {\"weight\": 9355, \"source\": 5, \"target\": 6}, {\"weight\": 10550, \"source\": 5, \"target\": 7}, {\"weight\": 4606, \"source\": 5, \"target\": 8}, {\"weight\": 4173, \"source\": 6, \"target\": 7}, {\"weight\": 5203, \"source\": 6, \"target\": 8}, {\"weight\": 7028, \"source\": 7, \"target\": 8}]}",
"id": 1181,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAB, INN, HEA, SRP, MSL, VRC, LCA, PAF, TMI\n- Travel distances (in kilometers) between each pair of airports:\nYAB to LCA: 10694\nYAB to MSL: 5188\nYAB to HEA: 12961\nYAB to VRC: 16148\nYAB to PAF: 14172\nYAB to INN: 8439\nYAB to SRP: 8427\nYAB to TMI: 15146\nINN to LCA: 2438\nINN to MSL: 8046\nINN to HEA: 4686\nINN to VRC: 10621\nINN to PAF: 6372\nINN to SRP: 1473\nINN to TMI: 6947\nHEA to LCA: 2740\nHEA to MSL: 12619\nHEA to VRC: 6779\nHEA to PAF: 5490\nHEA to SRP: 5703\nHEA to TMI: 2543\nSRP to LCA: 3464\nSRP to MSL: 7361\nSRP to VRC: 10400\nSRP to PAF: 7451\nSRP to TMI: 7288\nMSL to LCA: 10351\nMSL to VRC: 14730\nMSL to PAF: 13435\nMSL to TMI: 14172\nVRC to LCA: 9355\nVRC to PAF: 10550\nVRC to TMI: 4606\nLCA to PAF: 4173\nLCA to TMI: 5203\nPAF to TMI: 7028\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYH, PFB, LSI, MQN, FSZ, SKP, AVP, LCG, SKD\n- Travel distances (in kilometers) between each pair of airports:\nPYH to SKD: 13432\nPYH to SKP: 9670\nPYH to AVP: 4085\nPYH to PFB: 5746\nPYH to LCG: 7568\nPYH to LSI: 8830\nPYH to FSZ: 16150\nPYH to MQN: 9799\nPFB to SKD: 14955\nPFB to SKP: 11001\nPFB to AVP: 8626\nPFB to LCG: 9215\nPFB to LSI: 11116\nPFB to FSZ: 20199\nPFB to MQN: 12092\nLSI to SKD: 5511\nLSI to SKP: 2713\nLSI to AVP: 5959\nLSI to LCG: 2033\nLSI to FSZ: 10026\nLSI to MQN: 1653\nMQN to SKD: 4902\nMQN to SKP: 2861\nMQN to AVP: 6453\nMQN to LCG: 2924\nMQN to FSZ: 9411\nFSZ to SKD: 6197\nFSZ to SKP: 9619\nFSZ to AVP: 12389\nFSZ to LCG: 11040\nSKP to SKD: 4217\nSKP to AVP: 7825\nSKP to LCG: 2468\nAVP to SKD: 10598\nAVP to LCG: 6226\nLCG to SKD: 6389\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 48396,
"style": "rule"
}
|
{
"exact_answer": 48396,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PYH\", \"id\": 0}, {\"name\": \"PFB\", \"id\": 1}, {\"name\": \"LSI\", \"id\": 2}, {\"name\": \"MQN\", \"id\": 3}, {\"name\": \"FSZ\", \"id\": 4}, {\"name\": \"SKP\", \"id\": 5}, {\"name\": \"AVP\", \"id\": 6}, {\"name\": \"LCG\", \"id\": 7}, {\"name\": \"SKD\", \"id\": 8}], \"links\": [{\"weight\": 13432, \"source\": 0, \"target\": 8}, {\"weight\": 9670, \"source\": 0, \"target\": 5}, {\"weight\": 4085, \"source\": 0, \"target\": 6}, {\"weight\": 5746, \"source\": 0, \"target\": 1}, {\"weight\": 7568, \"source\": 0, \"target\": 7}, {\"weight\": 8830, \"source\": 0, \"target\": 2}, {\"weight\": 16150, \"source\": 0, \"target\": 4}, {\"weight\": 9799, \"source\": 0, \"target\": 3}, {\"weight\": 14955, \"source\": 1, \"target\": 8}, {\"weight\": 11001, \"source\": 1, \"target\": 5}, {\"weight\": 8626, \"source\": 1, \"target\": 6}, {\"weight\": 9215, \"source\": 1, \"target\": 7}, {\"weight\": 11116, \"source\": 1, \"target\": 2}, {\"weight\": 20199, \"source\": 1, \"target\": 4}, {\"weight\": 12092, \"source\": 1, \"target\": 3}, {\"weight\": 5511, \"source\": 2, \"target\": 8}, {\"weight\": 2713, \"source\": 2, \"target\": 5}, {\"weight\": 5959, \"source\": 2, \"target\": 6}, {\"weight\": 2033, \"source\": 2, \"target\": 7}, {\"weight\": 10026, \"source\": 2, \"target\": 4}, {\"weight\": 1653, \"source\": 2, \"target\": 3}, {\"weight\": 4902, \"source\": 3, \"target\": 8}, {\"weight\": 2861, \"source\": 3, \"target\": 5}, {\"weight\": 6453, \"source\": 3, \"target\": 6}, {\"weight\": 2924, \"source\": 3, \"target\": 7}, {\"weight\": 9411, \"source\": 3, \"target\": 4}, {\"weight\": 6197, \"source\": 4, \"target\": 8}, {\"weight\": 9619, \"source\": 4, \"target\": 5}, {\"weight\": 12389, \"source\": 4, \"target\": 6}, {\"weight\": 11040, \"source\": 4, \"target\": 7}, {\"weight\": 4217, \"source\": 5, \"target\": 8}, {\"weight\": 7825, \"source\": 5, \"target\": 6}, {\"weight\": 2468, \"source\": 5, \"target\": 7}, {\"weight\": 10598, \"source\": 6, \"target\": 8}, {\"weight\": 6226, \"source\": 6, \"target\": 7}, {\"weight\": 6389, \"source\": 7, \"target\": 8}]}",
"id": 1182,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PYH, PFB, LSI, MQN, FSZ, SKP, AVP, LCG, SKD\n- Travel distances (in kilometers) between each pair of airports:\nPYH to SKD: 13432\nPYH to SKP: 9670\nPYH to AVP: 4085\nPYH to PFB: 5746\nPYH to LCG: 7568\nPYH to LSI: 8830\nPYH to FSZ: 16150\nPYH to MQN: 9799\nPFB to SKD: 14955\nPFB to SKP: 11001\nPFB to AVP: 8626\nPFB to LCG: 9215\nPFB to LSI: 11116\nPFB to FSZ: 20199\nPFB to MQN: 12092\nLSI to SKD: 5511\nLSI to SKP: 2713\nLSI to AVP: 5959\nLSI to LCG: 2033\nLSI to FSZ: 10026\nLSI to MQN: 1653\nMQN to SKD: 4902\nMQN to SKP: 2861\nMQN to AVP: 6453\nMQN to LCG: 2924\nMQN to FSZ: 9411\nFSZ to SKD: 6197\nFSZ to SKP: 9619\nFSZ to AVP: 12389\nFSZ to LCG: 11040\nSKP to SKD: 4217\nSKP to AVP: 7825\nSKP to LCG: 2468\nAVP to SKD: 10598\nAVP to LCG: 6226\nLCG to SKD: 6389\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGA, INV, MSO, YYQ, YIE, NQN, KLR, ASW, PVC\n- Travel distances (in kilometers) between each pair of airports:\nCGA to YYQ: 4101\nCGA to NQN: 12454\nCGA to PVC: 5260\nCGA to MSO: 1806\nCGA to INV: 8559\nCGA to KLR: 9479\nCGA to YIE: 11236\nCGA to ASW: 12996\nINV to YYQ: 8227\nINV to NQN: 12745\nINV to PVC: 5392\nINV to MSO: 7999\nINV to KLR: 1844\nINV to YIE: 9430\nINV to ASW: 4792\nMSO to YYQ: 3262\nMSO to NQN: 10867\nMSO to PVC: 3500\nMSO to KLR: 8919\nMSO to YIE: 10676\nMSO to ASW: 12293\nYYQ to NQN: 11517\nYYQ to PVC: 3259\nYYQ to KLR: 9161\nYYQ to YIE: 12731\nYYQ to ASW: 12066\nYIE to NQN: 20942\nYIE to PVC: 12722\nYIE to KLR: 8272\nYIE to ASW: 8751\nNQN to PVC: 9390\nNQN to KLR: 13904\nNQN to ASW: 13633\nKLR to PVC: 6431\nKLR to ASW: 4477\nASW to PVC: 9489\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56770,
"style": "rule"
}
|
{
"exact_answer": 56770,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGA\", \"id\": 0}, {\"name\": \"INV\", \"id\": 1}, {\"name\": \"MSO\", \"id\": 2}, {\"name\": \"YYQ\", \"id\": 3}, {\"name\": \"YIE\", \"id\": 4}, {\"name\": \"NQN\", \"id\": 5}, {\"name\": \"KLR\", \"id\": 6}, {\"name\": \"ASW\", \"id\": 7}, {\"name\": \"PVC\", \"id\": 8}], \"links\": [{\"weight\": 4101, \"source\": 0, \"target\": 3}, {\"weight\": 12454, \"source\": 0, \"target\": 5}, {\"weight\": 5260, \"source\": 0, \"target\": 8}, {\"weight\": 1806, \"source\": 0, \"target\": 2}, {\"weight\": 8559, \"source\": 0, \"target\": 1}, {\"weight\": 9479, \"source\": 0, \"target\": 6}, {\"weight\": 11236, \"source\": 0, \"target\": 4}, {\"weight\": 12996, \"source\": 0, \"target\": 7}, {\"weight\": 8227, \"source\": 1, \"target\": 3}, {\"weight\": 12745, \"source\": 1, \"target\": 5}, {\"weight\": 5392, \"source\": 1, \"target\": 8}, {\"weight\": 7999, \"source\": 1, \"target\": 2}, {\"weight\": 1844, \"source\": 1, \"target\": 6}, {\"weight\": 9430, \"source\": 1, \"target\": 4}, {\"weight\": 4792, \"source\": 1, \"target\": 7}, {\"weight\": 3262, \"source\": 2, \"target\": 3}, {\"weight\": 10867, \"source\": 2, \"target\": 5}, {\"weight\": 3500, \"source\": 2, \"target\": 8}, {\"weight\": 8919, \"source\": 2, \"target\": 6}, {\"weight\": 10676, \"source\": 2, \"target\": 4}, {\"weight\": 12293, \"source\": 2, \"target\": 7}, {\"weight\": 11517, \"source\": 3, \"target\": 5}, {\"weight\": 3259, \"source\": 3, \"target\": 8}, {\"weight\": 9161, \"source\": 3, \"target\": 6}, {\"weight\": 12731, \"source\": 3, \"target\": 4}, {\"weight\": 12066, \"source\": 3, \"target\": 7}, {\"weight\": 20942, \"source\": 4, \"target\": 5}, {\"weight\": 12722, \"source\": 4, \"target\": 8}, {\"weight\": 8272, \"source\": 4, \"target\": 6}, {\"weight\": 8751, \"source\": 4, \"target\": 7}, {\"weight\": 9390, \"source\": 5, \"target\": 8}, {\"weight\": 13904, \"source\": 5, \"target\": 6}, {\"weight\": 13633, \"source\": 5, \"target\": 7}, {\"weight\": 6431, \"source\": 6, \"target\": 8}, {\"weight\": 4477, \"source\": 6, \"target\": 7}, {\"weight\": 9489, \"source\": 7, \"target\": 8}]}",
"id": 1183,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGA, INV, MSO, YYQ, YIE, NQN, KLR, ASW, PVC\n- Travel distances (in kilometers) between each pair of airports:\nCGA to YYQ: 4101\nCGA to NQN: 12454\nCGA to PVC: 5260\nCGA to MSO: 1806\nCGA to INV: 8559\nCGA to KLR: 9479\nCGA to YIE: 11236\nCGA to ASW: 12996\nINV to YYQ: 8227\nINV to NQN: 12745\nINV to PVC: 5392\nINV to MSO: 7999\nINV to KLR: 1844\nINV to YIE: 9430\nINV to ASW: 4792\nMSO to YYQ: 3262\nMSO to NQN: 10867\nMSO to PVC: 3500\nMSO to KLR: 8919\nMSO to YIE: 10676\nMSO to ASW: 12293\nYYQ to NQN: 11517\nYYQ to PVC: 3259\nYYQ to KLR: 9161\nYYQ to YIE: 12731\nYYQ to ASW: 12066\nYIE to NQN: 20942\nYIE to PVC: 12722\nYIE to KLR: 8272\nYIE to ASW: 8751\nNQN to PVC: 9390\nNQN to KLR: 13904\nNQN to ASW: 13633\nKLR to PVC: 6431\nKLR to ASW: 4477\nASW to PVC: 9489\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFQ, MTM, YXN, RIY, SJD, KUL, MCX, BGM, FLO\n- Travel distances (in kilometers) between each pair of airports:\nBFQ to MTM: 7373\nBFQ to KUL: 19200\nBFQ to SJD: 3825\nBFQ to YXN: 6862\nBFQ to MCX: 13247\nBFQ to BGM: 4409\nBFQ to FLO: 3720\nBFQ to RIY: 15084\nMTM to KUL: 14101\nMTM to SJD: 4064\nMTM to YXN: 4237\nMTM to MCX: 11876\nMTM to BGM: 4815\nMTM to FLO: 4937\nMTM to RIY: 14378\nYXN to KUL: 15820\nYXN to SJD: 4590\nYXN to MCX: 11146\nYXN to BGM: 3502\nYXN to FLO: 3673\nYXN to RIY: 13487\nRIY to KUL: 6805\nRIY to SJD: 15299\nRIY to MCX: 3631\nRIY to BGM: 11948\nRIY to FLO: 12551\nSJD to KUL: 15626\nSJD to MCX: 12590\nSJD to BGM: 3840\nSJD to FLO: 3242\nKUL to MCX: 7356\nKUL to BGM: 15667\nKUL to FLO: 16024\nMCX to BGM: 9517\nMCX to FLO: 10117\nBGM to FLO: 1059\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51485,
"style": "rule"
}
|
{
"exact_answer": 51485,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BFQ\", \"id\": 0}, {\"name\": \"MTM\", \"id\": 1}, {\"name\": \"YXN\", \"id\": 2}, {\"name\": \"RIY\", \"id\": 3}, {\"name\": \"SJD\", \"id\": 4}, {\"name\": \"KUL\", \"id\": 5}, {\"name\": \"MCX\", \"id\": 6}, {\"name\": \"BGM\", \"id\": 7}, {\"name\": \"FLO\", \"id\": 8}], \"links\": [{\"weight\": 7373, \"source\": 0, \"target\": 1}, {\"weight\": 19200, \"source\": 0, \"target\": 5}, {\"weight\": 3825, \"source\": 0, \"target\": 4}, {\"weight\": 6862, \"source\": 0, \"target\": 2}, {\"weight\": 13247, \"source\": 0, \"target\": 6}, {\"weight\": 4409, \"source\": 0, \"target\": 7}, {\"weight\": 3720, \"source\": 0, \"target\": 8}, {\"weight\": 15084, \"source\": 0, \"target\": 3}, {\"weight\": 14101, \"source\": 1, \"target\": 5}, {\"weight\": 4064, \"source\": 1, \"target\": 4}, {\"weight\": 4237, \"source\": 1, \"target\": 2}, {\"weight\": 11876, \"source\": 1, \"target\": 6}, {\"weight\": 4815, \"source\": 1, \"target\": 7}, {\"weight\": 4937, \"source\": 1, \"target\": 8}, {\"weight\": 14378, \"source\": 1, \"target\": 3}, {\"weight\": 15820, \"source\": 2, \"target\": 5}, {\"weight\": 4590, \"source\": 2, \"target\": 4}, {\"weight\": 11146, \"source\": 2, \"target\": 6}, {\"weight\": 3502, \"source\": 2, \"target\": 7}, {\"weight\": 3673, \"source\": 2, \"target\": 8}, {\"weight\": 13487, \"source\": 2, \"target\": 3}, {\"weight\": 6805, \"source\": 3, \"target\": 5}, {\"weight\": 15299, \"source\": 3, \"target\": 4}, {\"weight\": 3631, \"source\": 3, \"target\": 6}, {\"weight\": 11948, \"source\": 3, \"target\": 7}, {\"weight\": 12551, \"source\": 3, \"target\": 8}, {\"weight\": 15626, \"source\": 4, \"target\": 5}, {\"weight\": 12590, \"source\": 4, \"target\": 6}, {\"weight\": 3840, \"source\": 4, \"target\": 7}, {\"weight\": 3242, \"source\": 4, \"target\": 8}, {\"weight\": 7356, \"source\": 5, \"target\": 6}, {\"weight\": 15667, \"source\": 5, \"target\": 7}, {\"weight\": 16024, \"source\": 5, \"target\": 8}, {\"weight\": 9517, \"source\": 6, \"target\": 7}, {\"weight\": 10117, \"source\": 6, \"target\": 8}, {\"weight\": 1059, \"source\": 7, \"target\": 8}]}",
"id": 1184,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BFQ, MTM, YXN, RIY, SJD, KUL, MCX, BGM, FLO\n- Travel distances (in kilometers) between each pair of airports:\nBFQ to MTM: 7373\nBFQ to KUL: 19200\nBFQ to SJD: 3825\nBFQ to YXN: 6862\nBFQ to MCX: 13247\nBFQ to BGM: 4409\nBFQ to FLO: 3720\nBFQ to RIY: 15084\nMTM to KUL: 14101\nMTM to SJD: 4064\nMTM to YXN: 4237\nMTM to MCX: 11876\nMTM to BGM: 4815\nMTM to FLO: 4937\nMTM to RIY: 14378\nYXN to KUL: 15820\nYXN to SJD: 4590\nYXN to MCX: 11146\nYXN to BGM: 3502\nYXN to FLO: 3673\nYXN to RIY: 13487\nRIY to KUL: 6805\nRIY to SJD: 15299\nRIY to MCX: 3631\nRIY to BGM: 11948\nRIY to FLO: 12551\nSJD to KUL: 15626\nSJD to MCX: 12590\nSJD to BGM: 3840\nSJD to FLO: 3242\nKUL to MCX: 7356\nKUL to BGM: 15667\nKUL to FLO: 16024\nMCX to BGM: 9517\nMCX to FLO: 10117\nBGM to FLO: 1059\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLZ, QSF, MTE, BGA, BSG, GJT, SNP, AGT, IXA\n- Travel distances (in kilometers) between each pair of airports:\nSLZ to IXA: 15248\nSLZ to GJT: 8096\nSLZ to QSF: 7152\nSLZ to SNP: 12541\nSLZ to BGA: 4290\nSLZ to BSG: 7271\nSLZ to AGT: 3206\nSLZ to MTE: 1292\nQSF to IXA: 8644\nQSF to GJT: 9399\nQSF to SNP: 13037\nQSF to BGA: 9120\nQSF to BSG: 4369\nQSF to AGT: 9661\nQSF to MTE: 8444\nMTE to IXA: 16540\nMTE to GJT: 7600\nMTE to SNP: 12244\nMTE to BGA: 3925\nMTE to BSG: 8563\nMTE to AGT: 4139\nBGA to IXA: 17068\nBGA to GJT: 5146\nBGA to SNP: 10049\nBGA to BSG: 11479\nBGA to AGT: 4582\nBSG to IXA: 9426\nBSG to GJT: 12305\nBSG to SNP: 16278\nBSG to AGT: 8098\nGJT to IXA: 14025\nGJT to SNP: 4988\nGJT to AGT: 9190\nSNP to IXA: 16138\nSNP to AGT: 14093\nAGT to IXA: 16674\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55806,
"style": "rule"
}
|
{
"exact_answer": 55806,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SLZ\", \"id\": 0}, {\"name\": \"QSF\", \"id\": 1}, {\"name\": \"MTE\", \"id\": 2}, {\"name\": \"BGA\", \"id\": 3}, {\"name\": \"BSG\", \"id\": 4}, {\"name\": \"GJT\", \"id\": 5}, {\"name\": \"SNP\", \"id\": 6}, {\"name\": \"AGT\", \"id\": 7}, {\"name\": \"IXA\", \"id\": 8}], \"links\": [{\"weight\": 15248, \"source\": 0, \"target\": 8}, {\"weight\": 8096, \"source\": 0, \"target\": 5}, {\"weight\": 7152, \"source\": 0, \"target\": 1}, {\"weight\": 12541, \"source\": 0, \"target\": 6}, {\"weight\": 4290, \"source\": 0, \"target\": 3}, {\"weight\": 7271, \"source\": 0, \"target\": 4}, {\"weight\": 3206, \"source\": 0, \"target\": 7}, {\"weight\": 1292, \"source\": 0, \"target\": 2}, {\"weight\": 8644, \"source\": 1, \"target\": 8}, {\"weight\": 9399, \"source\": 1, \"target\": 5}, {\"weight\": 13037, \"source\": 1, \"target\": 6}, {\"weight\": 9120, \"source\": 1, \"target\": 3}, {\"weight\": 4369, \"source\": 1, \"target\": 4}, {\"weight\": 9661, \"source\": 1, \"target\": 7}, {\"weight\": 8444, \"source\": 1, \"target\": 2}, {\"weight\": 16540, \"source\": 2, \"target\": 8}, {\"weight\": 7600, \"source\": 2, \"target\": 5}, {\"weight\": 12244, \"source\": 2, \"target\": 6}, {\"weight\": 3925, \"source\": 2, \"target\": 3}, {\"weight\": 8563, \"source\": 2, \"target\": 4}, {\"weight\": 4139, \"source\": 2, \"target\": 7}, {\"weight\": 17068, \"source\": 3, \"target\": 8}, {\"weight\": 5146, \"source\": 3, \"target\": 5}, {\"weight\": 10049, \"source\": 3, \"target\": 6}, {\"weight\": 11479, \"source\": 3, \"target\": 4}, {\"weight\": 4582, \"source\": 3, \"target\": 7}, {\"weight\": 9426, \"source\": 4, \"target\": 8}, {\"weight\": 12305, \"source\": 4, \"target\": 5}, {\"weight\": 16278, \"source\": 4, \"target\": 6}, {\"weight\": 8098, \"source\": 4, \"target\": 7}, {\"weight\": 14025, \"source\": 5, \"target\": 8}, {\"weight\": 4988, \"source\": 5, \"target\": 6}, {\"weight\": 9190, \"source\": 5, \"target\": 7}, {\"weight\": 16138, \"source\": 6, \"target\": 8}, {\"weight\": 14093, \"source\": 6, \"target\": 7}, {\"weight\": 16674, \"source\": 7, \"target\": 8}]}",
"id": 1185,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SLZ, QSF, MTE, BGA, BSG, GJT, SNP, AGT, IXA\n- Travel distances (in kilometers) between each pair of airports:\nSLZ to IXA: 15248\nSLZ to GJT: 8096\nSLZ to QSF: 7152\nSLZ to SNP: 12541\nSLZ to BGA: 4290\nSLZ to BSG: 7271\nSLZ to AGT: 3206\nSLZ to MTE: 1292\nQSF to IXA: 8644\nQSF to GJT: 9399\nQSF to SNP: 13037\nQSF to BGA: 9120\nQSF to BSG: 4369\nQSF to AGT: 9661\nQSF to MTE: 8444\nMTE to IXA: 16540\nMTE to GJT: 7600\nMTE to SNP: 12244\nMTE to BGA: 3925\nMTE to BSG: 8563\nMTE to AGT: 4139\nBGA to IXA: 17068\nBGA to GJT: 5146\nBGA to SNP: 10049\nBGA to BSG: 11479\nBGA to AGT: 4582\nBSG to IXA: 9426\nBSG to GJT: 12305\nBSG to SNP: 16278\nBSG to AGT: 8098\nGJT to IXA: 14025\nGJT to SNP: 4988\nGJT to AGT: 9190\nSNP to IXA: 16138\nSNP to AGT: 14093\nAGT to IXA: 16674\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MTR, ZIH, TVF, WJU, MGQ, QUO, BWT, MYT, KME\n- Travel distances (in kilometers) between each pair of airports:\nMTR to MGQ: 14989\nMTR to ZIH: 3803\nMTR to TVF: 5829\nMTR to WJU: 16160\nMTR to BWT: 17134\nMTR to QUO: 11338\nMTR to MYT: 18711\nMTR to KME: 13610\nZIH to MGQ: 16196\nZIH to TVF: 3706\nZIH to WJU: 12981\nZIH to BWT: 15589\nZIH to QUO: 12399\nZIH to MYT: 15839\nZIH to KME: 15132\nTVF to MGQ: 13981\nTVF to WJU: 11832\nTVF to BWT: 15542\nTVF to QUO: 11162\nTVF to MYT: 14654\nTVF to KME: 13829\nWJU to MGQ: 10277\nWJU to BWT: 9364\nWJU to QUO: 13598\nWJU to MYT: 4166\nWJU to KME: 11458\nMGQ to BWT: 13062\nMGQ to QUO: 5370\nMGQ to MYT: 7897\nMGQ to KME: 1906\nQUO to BWT: 16345\nQUO to MYT: 11704\nQUO to KME: 3807\nBWT to MYT: 9165\nBWT to KME: 12830\nMYT to KME: 9078\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61529,
"style": "rule"
}
|
{
"exact_answer": 61529,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MTR\", \"id\": 0}, {\"name\": \"ZIH\", \"id\": 1}, {\"name\": \"TVF\", \"id\": 2}, {\"name\": \"WJU\", \"id\": 3}, {\"name\": \"MGQ\", \"id\": 4}, {\"name\": \"QUO\", \"id\": 5}, {\"name\": \"BWT\", \"id\": 6}, {\"name\": \"MYT\", \"id\": 7}, {\"name\": \"KME\", \"id\": 8}], \"links\": [{\"weight\": 14989, \"source\": 0, \"target\": 4}, {\"weight\": 3803, \"source\": 0, \"target\": 1}, {\"weight\": 5829, \"source\": 0, \"target\": 2}, {\"weight\": 16160, \"source\": 0, \"target\": 3}, {\"weight\": 17134, \"source\": 0, \"target\": 6}, {\"weight\": 11338, \"source\": 0, \"target\": 5}, {\"weight\": 18711, \"source\": 0, \"target\": 7}, {\"weight\": 13610, \"source\": 0, \"target\": 8}, {\"weight\": 16196, \"source\": 1, \"target\": 4}, {\"weight\": 3706, \"source\": 1, \"target\": 2}, {\"weight\": 12981, \"source\": 1, \"target\": 3}, {\"weight\": 15589, \"source\": 1, \"target\": 6}, {\"weight\": 12399, \"source\": 1, \"target\": 5}, {\"weight\": 15839, \"source\": 1, \"target\": 7}, {\"weight\": 15132, \"source\": 1, \"target\": 8}, {\"weight\": 13981, \"source\": 2, \"target\": 4}, {\"weight\": 11832, \"source\": 2, \"target\": 3}, {\"weight\": 15542, \"source\": 2, \"target\": 6}, {\"weight\": 11162, \"source\": 2, \"target\": 5}, {\"weight\": 14654, \"source\": 2, \"target\": 7}, {\"weight\": 13829, \"source\": 2, \"target\": 8}, {\"weight\": 10277, \"source\": 3, \"target\": 4}, {\"weight\": 9364, \"source\": 3, \"target\": 6}, {\"weight\": 13598, \"source\": 3, \"target\": 5}, {\"weight\": 4166, \"source\": 3, \"target\": 7}, {\"weight\": 11458, \"source\": 3, \"target\": 8}, {\"weight\": 13062, \"source\": 4, \"target\": 6}, {\"weight\": 5370, \"source\": 4, \"target\": 5}, {\"weight\": 7897, \"source\": 4, \"target\": 7}, {\"weight\": 1906, \"source\": 4, \"target\": 8}, {\"weight\": 16345, \"source\": 5, \"target\": 6}, {\"weight\": 11704, \"source\": 5, \"target\": 7}, {\"weight\": 3807, \"source\": 5, \"target\": 8}, {\"weight\": 9165, \"source\": 6, \"target\": 7}, {\"weight\": 12830, \"source\": 6, \"target\": 8}, {\"weight\": 9078, \"source\": 7, \"target\": 8}]}",
"id": 1186,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MTR, ZIH, TVF, WJU, MGQ, QUO, BWT, MYT, KME\n- Travel distances (in kilometers) between each pair of airports:\nMTR to MGQ: 14989\nMTR to ZIH: 3803\nMTR to TVF: 5829\nMTR to WJU: 16160\nMTR to BWT: 17134\nMTR to QUO: 11338\nMTR to MYT: 18711\nMTR to KME: 13610\nZIH to MGQ: 16196\nZIH to TVF: 3706\nZIH to WJU: 12981\nZIH to BWT: 15589\nZIH to QUO: 12399\nZIH to MYT: 15839\nZIH to KME: 15132\nTVF to MGQ: 13981\nTVF to WJU: 11832\nTVF to BWT: 15542\nTVF to QUO: 11162\nTVF to MYT: 14654\nTVF to KME: 13829\nWJU to MGQ: 10277\nWJU to BWT: 9364\nWJU to QUO: 13598\nWJU to MYT: 4166\nWJU to KME: 11458\nMGQ to BWT: 13062\nMGQ to QUO: 5370\nMGQ to MYT: 7897\nMGQ to KME: 1906\nQUO to BWT: 16345\nQUO to MYT: 11704\nQUO to KME: 3807\nBWT to MYT: 9165\nBWT to KME: 12830\nMYT to KME: 9078\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MHQ, PKU, YUB, DLA, CIY, STZ, PPV, KDU, MDK\n- Travel distances (in kilometers) between each pair of airports:\nMHQ to DLA: 6626\nMHQ to YUB: 9454\nMHQ to PKU: 9547\nMHQ to CIY: 2785\nMHQ to MDK: 8119\nMHQ to PPV: 9327\nMHQ to KDU: 5268\nMHQ to STZ: 11527\nPKU to DLA: 10907\nPKU to YUB: 16114\nPKU to CIY: 10556\nPKU to MDK: 10817\nPKU to PPV: 14491\nPKU to KDU: 5103\nPKU to STZ: 18174\nYUB to DLA: 13899\nYUB to CIY: 11075\nYUB to MDK: 15604\nYUB to PPV: 4418\nYUB to KDU: 14554\nYUB to STZ: 13026\nDLA to CIY: 5795\nDLA to MDK: 1713\nDLA to PPV: 14344\nDLA to KDU: 7718\nDLA to STZ: 8804\nCIY to MDK: 7495\nCIY to PPV: 10948\nCIY to KDU: 6173\nCIY to STZ: 10662\nSTZ to MDK: 9364\nSTZ to PPV: 12552\nSTZ to KDU: 15624\nPPV to MDK: 15950\nPPV to KDU: 14121\nKDU to MDK: 8316\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61819,
"style": "rule"
}
|
{
"exact_answer": 61819,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MHQ\", \"id\": 0}, {\"name\": \"PKU\", \"id\": 1}, {\"name\": \"YUB\", \"id\": 2}, {\"name\": \"DLA\", \"id\": 3}, {\"name\": \"CIY\", \"id\": 4}, {\"name\": \"STZ\", \"id\": 5}, {\"name\": \"PPV\", \"id\": 6}, {\"name\": \"KDU\", \"id\": 7}, {\"name\": \"MDK\", \"id\": 8}], \"links\": [{\"weight\": 6626, \"source\": 0, \"target\": 3}, {\"weight\": 9454, \"source\": 0, \"target\": 2}, {\"weight\": 9547, \"source\": 0, \"target\": 1}, {\"weight\": 2785, \"source\": 0, \"target\": 4}, {\"weight\": 8119, \"source\": 0, \"target\": 8}, {\"weight\": 9327, \"source\": 0, \"target\": 6}, {\"weight\": 5268, \"source\": 0, \"target\": 7}, {\"weight\": 11527, \"source\": 0, \"target\": 5}, {\"weight\": 10907, \"source\": 1, \"target\": 3}, {\"weight\": 16114, \"source\": 1, \"target\": 2}, {\"weight\": 10556, \"source\": 1, \"target\": 4}, {\"weight\": 10817, \"source\": 1, \"target\": 8}, {\"weight\": 14491, \"source\": 1, \"target\": 6}, {\"weight\": 5103, \"source\": 1, \"target\": 7}, {\"weight\": 18174, \"source\": 1, \"target\": 5}, {\"weight\": 13899, \"source\": 2, \"target\": 3}, {\"weight\": 11075, \"source\": 2, \"target\": 4}, {\"weight\": 15604, \"source\": 2, \"target\": 8}, {\"weight\": 4418, \"source\": 2, \"target\": 6}, {\"weight\": 14554, \"source\": 2, \"target\": 7}, {\"weight\": 13026, \"source\": 2, \"target\": 5}, {\"weight\": 5795, \"source\": 3, \"target\": 4}, {\"weight\": 1713, \"source\": 3, \"target\": 8}, {\"weight\": 14344, \"source\": 3, \"target\": 6}, {\"weight\": 7718, \"source\": 3, \"target\": 7}, {\"weight\": 8804, \"source\": 3, \"target\": 5}, {\"weight\": 7495, \"source\": 4, \"target\": 8}, {\"weight\": 10948, \"source\": 4, \"target\": 6}, {\"weight\": 6173, \"source\": 4, \"target\": 7}, {\"weight\": 10662, \"source\": 4, \"target\": 5}, {\"weight\": 9364, \"source\": 5, \"target\": 8}, {\"weight\": 12552, \"source\": 5, \"target\": 6}, {\"weight\": 15624, \"source\": 5, \"target\": 7}, {\"weight\": 15950, \"source\": 6, \"target\": 8}, {\"weight\": 14121, \"source\": 6, \"target\": 7}, {\"weight\": 8316, \"source\": 7, \"target\": 8}]}",
"id": 1187,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MHQ, PKU, YUB, DLA, CIY, STZ, PPV, KDU, MDK\n- Travel distances (in kilometers) between each pair of airports:\nMHQ to DLA: 6626\nMHQ to YUB: 9454\nMHQ to PKU: 9547\nMHQ to CIY: 2785\nMHQ to MDK: 8119\nMHQ to PPV: 9327\nMHQ to KDU: 5268\nMHQ to STZ: 11527\nPKU to DLA: 10907\nPKU to YUB: 16114\nPKU to CIY: 10556\nPKU to MDK: 10817\nPKU to PPV: 14491\nPKU to KDU: 5103\nPKU to STZ: 18174\nYUB to DLA: 13899\nYUB to CIY: 11075\nYUB to MDK: 15604\nYUB to PPV: 4418\nYUB to KDU: 14554\nYUB to STZ: 13026\nDLA to CIY: 5795\nDLA to MDK: 1713\nDLA to PPV: 14344\nDLA to KDU: 7718\nDLA to STZ: 8804\nCIY to MDK: 7495\nCIY to PPV: 10948\nCIY to KDU: 6173\nCIY to STZ: 10662\nSTZ to MDK: 9364\nSTZ to PPV: 12552\nSTZ to KDU: 15624\nPPV to MDK: 15950\nPPV to KDU: 14121\nKDU to MDK: 8316\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLX, YYR, ARK, DEE, YUB, GYN, NDB, JRO, OAL\n- Travel distances (in kilometers) between each pair of airports:\nPLX to GYN: 14533\nPLX to YUB: 13675\nPLX to YYR: 10263\nPLX to OAL: 15992\nPLX to JRO: 7422\nPLX to DEE: 6625\nPLX to NDB: 9163\nPLX to ARK: 7977\nYYR to GYN: 8837\nYYR to YUB: 5208\nYYR to OAL: 9415\nYYR to JRO: 11624\nYYR to DEE: 13852\nYYR to NDB: 7798\nYYR to ARK: 12417\nARK to GYN: 10909\nARK to YUB: 16932\nARK to OAL: 12292\nARK to JRO: 818\nARK to DEE: 12606\nARK to NDB: 7521\nDEE to GYN: 18389\nDEE to YUB: 12106\nDEE to OAL: 19848\nDEE to JRO: 12053\nDEE to NDB: 13016\nYUB to GYN: 12029\nYUB to OAL: 12871\nYUB to JRO: 16128\nYUB to NDB: 11016\nGYN to OAL: 1488\nGYN to JRO: 10116\nGYN to NDB: 5899\nNDB to OAL: 7358\nNDB to JRO: 6703\nJRO to OAL: 11499\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56239,
"style": "rule"
}
|
{
"exact_answer": 56239,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PLX\", \"id\": 0}, {\"name\": \"YYR\", \"id\": 1}, {\"name\": \"ARK\", \"id\": 2}, {\"name\": \"DEE\", \"id\": 3}, {\"name\": \"YUB\", \"id\": 4}, {\"name\": \"GYN\", \"id\": 5}, {\"name\": \"NDB\", \"id\": 6}, {\"name\": \"JRO\", \"id\": 7}, {\"name\": \"OAL\", \"id\": 8}], \"links\": [{\"weight\": 14533, \"source\": 0, \"target\": 5}, {\"weight\": 13675, \"source\": 0, \"target\": 4}, {\"weight\": 10263, \"source\": 0, \"target\": 1}, {\"weight\": 15992, \"source\": 0, \"target\": 8}, {\"weight\": 7422, \"source\": 0, \"target\": 7}, {\"weight\": 6625, \"source\": 0, \"target\": 3}, {\"weight\": 9163, \"source\": 0, \"target\": 6}, {\"weight\": 7977, \"source\": 0, \"target\": 2}, {\"weight\": 8837, \"source\": 1, \"target\": 5}, {\"weight\": 5208, \"source\": 1, \"target\": 4}, {\"weight\": 9415, \"source\": 1, \"target\": 8}, {\"weight\": 11624, \"source\": 1, \"target\": 7}, {\"weight\": 13852, \"source\": 1, \"target\": 3}, {\"weight\": 7798, \"source\": 1, \"target\": 6}, {\"weight\": 12417, \"source\": 1, \"target\": 2}, {\"weight\": 10909, \"source\": 2, \"target\": 5}, {\"weight\": 16932, \"source\": 2, \"target\": 4}, {\"weight\": 12292, \"source\": 2, \"target\": 8}, {\"weight\": 818, \"source\": 2, \"target\": 7}, {\"weight\": 12606, \"source\": 2, \"target\": 3}, {\"weight\": 7521, \"source\": 2, \"target\": 6}, {\"weight\": 18389, \"source\": 3, \"target\": 5}, {\"weight\": 12106, \"source\": 3, \"target\": 4}, {\"weight\": 19848, \"source\": 3, \"target\": 8}, {\"weight\": 12053, \"source\": 3, \"target\": 7}, {\"weight\": 13016, \"source\": 3, \"target\": 6}, {\"weight\": 12029, \"source\": 4, \"target\": 5}, {\"weight\": 12871, \"source\": 4, \"target\": 8}, {\"weight\": 16128, \"source\": 4, \"target\": 7}, {\"weight\": 11016, \"source\": 4, \"target\": 6}, {\"weight\": 1488, \"source\": 5, \"target\": 8}, {\"weight\": 10116, \"source\": 5, \"target\": 7}, {\"weight\": 5899, \"source\": 5, \"target\": 6}, {\"weight\": 7358, \"source\": 6, \"target\": 8}, {\"weight\": 6703, \"source\": 6, \"target\": 7}, {\"weight\": 11499, \"source\": 7, \"target\": 8}]}",
"id": 1188,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PLX, YYR, ARK, DEE, YUB, GYN, NDB, JRO, OAL\n- Travel distances (in kilometers) between each pair of airports:\nPLX to GYN: 14533\nPLX to YUB: 13675\nPLX to YYR: 10263\nPLX to OAL: 15992\nPLX to JRO: 7422\nPLX to DEE: 6625\nPLX to NDB: 9163\nPLX to ARK: 7977\nYYR to GYN: 8837\nYYR to YUB: 5208\nYYR to OAL: 9415\nYYR to JRO: 11624\nYYR to DEE: 13852\nYYR to NDB: 7798\nYYR to ARK: 12417\nARK to GYN: 10909\nARK to YUB: 16932\nARK to OAL: 12292\nARK to JRO: 818\nARK to DEE: 12606\nARK to NDB: 7521\nDEE to GYN: 18389\nDEE to YUB: 12106\nDEE to OAL: 19848\nDEE to JRO: 12053\nDEE to NDB: 13016\nYUB to GYN: 12029\nYUB to OAL: 12871\nYUB to JRO: 16128\nYUB to NDB: 11016\nGYN to OAL: 1488\nGYN to JRO: 10116\nGYN to NDB: 5899\nNDB to OAL: 7358\nNDB to JRO: 6703\nJRO to OAL: 11499\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPC, EVE, JOE, BND, LYI, ZVK, NCE, BHX, ZSJ\n- Travel distances (in kilometers) between each pair of airports:\nCPC to LYI: 21130\nCPC to BHX: 12505\nCPC to NCE: 12231\nCPC to JOE: 14617\nCPC to BND: 15372\nCPC to EVE: 14535\nCPC to ZVK: 19945\nCPC to ZSJ: 12009\nEVE to LYI: 8350\nEVE to BHX: 2097\nEVE to NCE: 2814\nEVE to JOE: 1934\nEVE to BND: 6065\nEVE to ZVK: 9646\nEVE to ZSJ: 7940\nJOE to LYI: 7248\nJOE to BHX: 2203\nJOE to NCE: 2558\nJOE to BND: 5137\nJOE to ZVK: 8723\nJOE to ZSJ: 8495\nBND to LYI: 6461\nBND to BHX: 5571\nBND to NCE: 4740\nBND to ZVK: 5679\nBND to ZSJ: 12664\nLYI to BHX: 8724\nLYI to NCE: 8906\nLYI to ZVK: 2762\nLYI to ZSJ: 11219\nZVK to BHX: 10031\nZVK to NCE: 9833\nZVK to ZSJ: 13962\nNCE to BHX: 1180\nNCE to ZSJ: 8157\nBHX to ZSJ: 7103\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54248,
"style": "rule"
}
|
{
"exact_answer": 54248,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CPC\", \"id\": 0}, {\"name\": \"EVE\", \"id\": 1}, {\"name\": \"JOE\", \"id\": 2}, {\"name\": \"BND\", \"id\": 3}, {\"name\": \"LYI\", \"id\": 4}, {\"name\": \"ZVK\", \"id\": 5}, {\"name\": \"NCE\", \"id\": 6}, {\"name\": \"BHX\", \"id\": 7}, {\"name\": \"ZSJ\", \"id\": 8}], \"links\": [{\"weight\": 21130, \"source\": 0, \"target\": 4}, {\"weight\": 12505, \"source\": 0, \"target\": 7}, {\"weight\": 12231, \"source\": 0, \"target\": 6}, {\"weight\": 14617, \"source\": 0, \"target\": 2}, {\"weight\": 15372, \"source\": 0, \"target\": 3}, {\"weight\": 14535, \"source\": 0, \"target\": 1}, {\"weight\": 19945, \"source\": 0, \"target\": 5}, {\"weight\": 12009, \"source\": 0, \"target\": 8}, {\"weight\": 8350, \"source\": 1, \"target\": 4}, {\"weight\": 2097, \"source\": 1, \"target\": 7}, {\"weight\": 2814, \"source\": 1, \"target\": 6}, {\"weight\": 1934, \"source\": 1, \"target\": 2}, {\"weight\": 6065, \"source\": 1, \"target\": 3}, {\"weight\": 9646, \"source\": 1, \"target\": 5}, {\"weight\": 7940, \"source\": 1, \"target\": 8}, {\"weight\": 7248, \"source\": 2, \"target\": 4}, {\"weight\": 2203, \"source\": 2, \"target\": 7}, {\"weight\": 2558, \"source\": 2, \"target\": 6}, {\"weight\": 5137, \"source\": 2, \"target\": 3}, {\"weight\": 8723, \"source\": 2, \"target\": 5}, {\"weight\": 8495, \"source\": 2, \"target\": 8}, {\"weight\": 6461, \"source\": 3, \"target\": 4}, {\"weight\": 5571, \"source\": 3, \"target\": 7}, {\"weight\": 4740, \"source\": 3, \"target\": 6}, {\"weight\": 5679, \"source\": 3, \"target\": 5}, {\"weight\": 12664, \"source\": 3, \"target\": 8}, {\"weight\": 8724, \"source\": 4, \"target\": 7}, {\"weight\": 8906, \"source\": 4, \"target\": 6}, {\"weight\": 2762, \"source\": 4, \"target\": 5}, {\"weight\": 11219, \"source\": 4, \"target\": 8}, {\"weight\": 10031, \"source\": 5, \"target\": 7}, {\"weight\": 9833, \"source\": 5, \"target\": 6}, {\"weight\": 13962, \"source\": 5, \"target\": 8}, {\"weight\": 1180, \"source\": 6, \"target\": 7}, {\"weight\": 8157, \"source\": 6, \"target\": 8}, {\"weight\": 7103, \"source\": 7, \"target\": 8}]}",
"id": 1189,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPC, EVE, JOE, BND, LYI, ZVK, NCE, BHX, ZSJ\n- Travel distances (in kilometers) between each pair of airports:\nCPC to LYI: 21130\nCPC to BHX: 12505\nCPC to NCE: 12231\nCPC to JOE: 14617\nCPC to BND: 15372\nCPC to EVE: 14535\nCPC to ZVK: 19945\nCPC to ZSJ: 12009\nEVE to LYI: 8350\nEVE to BHX: 2097\nEVE to NCE: 2814\nEVE to JOE: 1934\nEVE to BND: 6065\nEVE to ZVK: 9646\nEVE to ZSJ: 7940\nJOE to LYI: 7248\nJOE to BHX: 2203\nJOE to NCE: 2558\nJOE to BND: 5137\nJOE to ZVK: 8723\nJOE to ZSJ: 8495\nBND to LYI: 6461\nBND to BHX: 5571\nBND to NCE: 4740\nBND to ZVK: 5679\nBND to ZSJ: 12664\nLYI to BHX: 8724\nLYI to NCE: 8906\nLYI to ZVK: 2762\nLYI to ZSJ: 11219\nZVK to BHX: 10031\nZVK to NCE: 9833\nZVK to ZSJ: 13962\nNCE to BHX: 1180\nNCE to ZSJ: 8157\nBHX to ZSJ: 7103\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, DJB, NPL, QOW, STM, VEL, EAS, COR, SNU\n- Travel distances (in kilometers) between each pair of airports:\nAAL to COR: 12340\nAAL to SNU: 8211\nAAL to STM: 9876\nAAL to VEL: 8441\nAAL to DJB: 10583\nAAL to EAS: 2233\nAAL to NPL: 17839\nAAL to QOW: 5752\nDJB to COR: 18116\nDJB to SNU: 18101\nDJB to STM: 19025\nDJB to VEL: 15020\nDJB to EAS: 11824\nDJB to NPL: 8505\nDJB to QOW: 12005\nNPL to COR: 10539\nNPL to SNU: 14887\nNPL to STM: 15664\nNPL to VEL: 11874\nNPL to EAS: 19850\nNPL to QOW: 18368\nQOW to COR: 8770\nQOW to SNU: 11469\nQOW to STM: 8044\nQOW to VEL: 12296\nQOW to EAS: 4630\nSTM to COR: 5125\nSTM to SNU: 4829\nSTM to VEL: 8041\nSTM to EAS: 8290\nVEL to COR: 9715\nVEL to SNU: 4205\nVEL to EAS: 9314\nEAS to COR: 10683\nEAS to SNU: 8072\nCOR to SNU: 6610\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60512,
"style": "rule"
}
|
{
"exact_answer": 60512,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AAL\", \"id\": 0}, {\"name\": \"DJB\", \"id\": 1}, {\"name\": \"NPL\", \"id\": 2}, {\"name\": \"QOW\", \"id\": 3}, {\"name\": \"STM\", \"id\": 4}, {\"name\": \"VEL\", \"id\": 5}, {\"name\": \"EAS\", \"id\": 6}, {\"name\": \"COR\", \"id\": 7}, {\"name\": \"SNU\", \"id\": 8}], \"links\": [{\"weight\": 12340, \"source\": 0, \"target\": 7}, {\"weight\": 8211, \"source\": 0, \"target\": 8}, {\"weight\": 9876, \"source\": 0, \"target\": 4}, {\"weight\": 8441, \"source\": 0, \"target\": 5}, {\"weight\": 10583, \"source\": 0, \"target\": 1}, {\"weight\": 2233, \"source\": 0, \"target\": 6}, {\"weight\": 17839, \"source\": 0, \"target\": 2}, {\"weight\": 5752, \"source\": 0, \"target\": 3}, {\"weight\": 18116, \"source\": 1, \"target\": 7}, {\"weight\": 18101, \"source\": 1, \"target\": 8}, {\"weight\": 19025, \"source\": 1, \"target\": 4}, {\"weight\": 15020, \"source\": 1, \"target\": 5}, {\"weight\": 11824, \"source\": 1, \"target\": 6}, {\"weight\": 8505, \"source\": 1, \"target\": 2}, {\"weight\": 12005, \"source\": 1, \"target\": 3}, {\"weight\": 10539, \"source\": 2, \"target\": 7}, {\"weight\": 14887, \"source\": 2, \"target\": 8}, {\"weight\": 15664, \"source\": 2, \"target\": 4}, {\"weight\": 11874, \"source\": 2, \"target\": 5}, {\"weight\": 19850, \"source\": 2, \"target\": 6}, {\"weight\": 18368, \"source\": 2, \"target\": 3}, {\"weight\": 8770, \"source\": 3, \"target\": 7}, {\"weight\": 11469, \"source\": 3, \"target\": 8}, {\"weight\": 8044, \"source\": 3, \"target\": 4}, {\"weight\": 12296, \"source\": 3, \"target\": 5}, {\"weight\": 4630, \"source\": 3, \"target\": 6}, {\"weight\": 5125, \"source\": 4, \"target\": 7}, {\"weight\": 4829, \"source\": 4, \"target\": 8}, {\"weight\": 8041, \"source\": 4, \"target\": 5}, {\"weight\": 8290, \"source\": 4, \"target\": 6}, {\"weight\": 9715, \"source\": 5, \"target\": 7}, {\"weight\": 4205, \"source\": 5, \"target\": 8}, {\"weight\": 9314, \"source\": 5, \"target\": 6}, {\"weight\": 10683, \"source\": 6, \"target\": 7}, {\"weight\": 8072, \"source\": 6, \"target\": 8}, {\"weight\": 6610, \"source\": 7, \"target\": 8}]}",
"id": 1190,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AAL, DJB, NPL, QOW, STM, VEL, EAS, COR, SNU\n- Travel distances (in kilometers) between each pair of airports:\nAAL to COR: 12340\nAAL to SNU: 8211\nAAL to STM: 9876\nAAL to VEL: 8441\nAAL to DJB: 10583\nAAL to EAS: 2233\nAAL to NPL: 17839\nAAL to QOW: 5752\nDJB to COR: 18116\nDJB to SNU: 18101\nDJB to STM: 19025\nDJB to VEL: 15020\nDJB to EAS: 11824\nDJB to NPL: 8505\nDJB to QOW: 12005\nNPL to COR: 10539\nNPL to SNU: 14887\nNPL to STM: 15664\nNPL to VEL: 11874\nNPL to EAS: 19850\nNPL to QOW: 18368\nQOW to COR: 8770\nQOW to SNU: 11469\nQOW to STM: 8044\nQOW to VEL: 12296\nQOW to EAS: 4630\nSTM to COR: 5125\nSTM to SNU: 4829\nSTM to VEL: 8041\nSTM to EAS: 8290\nVEL to COR: 9715\nVEL to SNU: 4205\nVEL to EAS: 9314\nEAS to COR: 10683\nEAS to SNU: 8072\nCOR to SNU: 6610\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EGC, UKA, YYZ, RMQ, ABI, SVJ, GCN, YZS, IOM\n- Travel distances (in kilometers) between each pair of airports:\nEGC to YZS: 7740\nEGC to YYZ: 6335\nEGC to ABI: 8513\nEGC to RMQ: 10387\nEGC to UKA: 8082\nEGC to IOM: 1120\nEGC to SVJ: 2758\nEGC to GCN: 9109\nUKA to YZS: 14679\nUKA to YYZ: 13434\nUKA to ABI: 15419\nUKA to RMQ: 10325\nUKA to IOM: 8164\nUKA to SVJ: 9022\nUKA to GCN: 16057\nYYZ to YZS: 3181\nYYZ to ABI: 2181\nYYZ to RMQ: 12187\nYYZ to IOM: 5390\nYYZ to SVJ: 6363\nYYZ to GCN: 2909\nRMQ to YZS: 13101\nRMQ to ABI: 12828\nRMQ to IOM: 9956\nRMQ to SVJ: 9545\nRMQ to GCN: 11893\nABI to YZS: 4187\nABI to IOM: 7568\nABI to SVJ: 8544\nABI to GCN: 2084\nSVJ to YZS: 8961\nSVJ to IOM: 1974\nSVJ to GCN: 8718\nGCN to YZS: 3986\nGCN to IOM: 8138\nYZS to IOM: 7333\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49209,
"style": "rule"
}
|
{
"exact_answer": 49209,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EGC\", \"id\": 0}, {\"name\": \"UKA\", \"id\": 1}, {\"name\": \"YYZ\", \"id\": 2}, {\"name\": \"RMQ\", \"id\": 3}, {\"name\": \"ABI\", \"id\": 4}, {\"name\": \"SVJ\", \"id\": 5}, {\"name\": \"GCN\", \"id\": 6}, {\"name\": \"YZS\", \"id\": 7}, {\"name\": \"IOM\", \"id\": 8}], \"links\": [{\"weight\": 7740, \"source\": 0, \"target\": 7}, {\"weight\": 6335, \"source\": 0, \"target\": 2}, {\"weight\": 8513, \"source\": 0, \"target\": 4}, {\"weight\": 10387, \"source\": 0, \"target\": 3}, {\"weight\": 8082, \"source\": 0, \"target\": 1}, {\"weight\": 1120, \"source\": 0, \"target\": 8}, {\"weight\": 2758, \"source\": 0, \"target\": 5}, {\"weight\": 9109, \"source\": 0, \"target\": 6}, {\"weight\": 14679, \"source\": 1, \"target\": 7}, {\"weight\": 13434, \"source\": 1, \"target\": 2}, {\"weight\": 15419, \"source\": 1, \"target\": 4}, {\"weight\": 10325, \"source\": 1, \"target\": 3}, {\"weight\": 8164, \"source\": 1, \"target\": 8}, {\"weight\": 9022, \"source\": 1, \"target\": 5}, {\"weight\": 16057, \"source\": 1, \"target\": 6}, {\"weight\": 3181, \"source\": 2, \"target\": 7}, {\"weight\": 2181, \"source\": 2, \"target\": 4}, {\"weight\": 12187, \"source\": 2, \"target\": 3}, {\"weight\": 5390, \"source\": 2, \"target\": 8}, {\"weight\": 6363, \"source\": 2, \"target\": 5}, {\"weight\": 2909, \"source\": 2, \"target\": 6}, {\"weight\": 13101, \"source\": 3, \"target\": 7}, {\"weight\": 12828, \"source\": 3, \"target\": 4}, {\"weight\": 9956, \"source\": 3, \"target\": 8}, {\"weight\": 9545, \"source\": 3, \"target\": 5}, {\"weight\": 11893, \"source\": 3, \"target\": 6}, {\"weight\": 4187, \"source\": 4, \"target\": 7}, {\"weight\": 7568, \"source\": 4, \"target\": 8}, {\"weight\": 8544, \"source\": 4, \"target\": 5}, {\"weight\": 2084, \"source\": 4, \"target\": 6}, {\"weight\": 8961, \"source\": 5, \"target\": 7}, {\"weight\": 1974, \"source\": 5, \"target\": 8}, {\"weight\": 8718, \"source\": 5, \"target\": 6}, {\"weight\": 3986, \"source\": 6, \"target\": 7}, {\"weight\": 8138, \"source\": 6, \"target\": 8}, {\"weight\": 7333, \"source\": 7, \"target\": 8}]}",
"id": 1191,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EGC, UKA, YYZ, RMQ, ABI, SVJ, GCN, YZS, IOM\n- Travel distances (in kilometers) between each pair of airports:\nEGC to YZS: 7740\nEGC to YYZ: 6335\nEGC to ABI: 8513\nEGC to RMQ: 10387\nEGC to UKA: 8082\nEGC to IOM: 1120\nEGC to SVJ: 2758\nEGC to GCN: 9109\nUKA to YZS: 14679\nUKA to YYZ: 13434\nUKA to ABI: 15419\nUKA to RMQ: 10325\nUKA to IOM: 8164\nUKA to SVJ: 9022\nUKA to GCN: 16057\nYYZ to YZS: 3181\nYYZ to ABI: 2181\nYYZ to RMQ: 12187\nYYZ to IOM: 5390\nYYZ to SVJ: 6363\nYYZ to GCN: 2909\nRMQ to YZS: 13101\nRMQ to ABI: 12828\nRMQ to IOM: 9956\nRMQ to SVJ: 9545\nRMQ to GCN: 11893\nABI to YZS: 4187\nABI to IOM: 7568\nABI to SVJ: 8544\nABI to GCN: 2084\nSVJ to YZS: 8961\nSVJ to IOM: 1974\nSVJ to GCN: 8718\nGCN to YZS: 3986\nGCN to IOM: 8138\nYZS to IOM: 7333\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NYM, SOG, TIU, PSS, SMK, YKM, NUX, KSE, RIX\n- Travel distances (in kilometers) between each pair of airports:\nNYM to NUX: 746\nNYM to RIX: 3018\nNYM to SMK: 14395\nNYM to KSE: 8303\nNYM to PSS: 16468\nNYM to YKM: 11528\nNYM to TIU: 16206\nNYM to SOG: 4086\nSOG to NUX: 4176\nSOG to RIX: 1068\nSOG to SMK: 10473\nSOG to KSE: 7517\nSOG to PSS: 13166\nSOG to YKM: 7606\nSOG to TIU: 18588\nTIU to NUX: 15635\nTIU to RIX: 17860\nTIU to SMK: 13190\nTIU to KSE: 15494\nTIU to PSS: 12550\nTIU to YKM: 12481\nPSS to NUX: 16636\nPSS to RIX: 13582\nPSS to SMK: 15018\nPSS to KSE: 11829\nPSS to YKM: 12205\nSMK to NUX: 14493\nSMK to RIX: 11450\nSMK to KSE: 17489\nSMK to YKM: 3197\nYKM to NUX: 11626\nYKM to RIX: 8583\nYKM to KSE: 14622\nNUX to RIX: 3164\nNUX to KSE: 8469\nKSE to RIX: 6631\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61653,
"style": "rule"
}
|
{
"exact_answer": 61653,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NYM\", \"id\": 0}, {\"name\": \"SOG\", \"id\": 1}, {\"name\": \"TIU\", \"id\": 2}, {\"name\": \"PSS\", \"id\": 3}, {\"name\": \"SMK\", \"id\": 4}, {\"name\": \"YKM\", \"id\": 5}, {\"name\": \"NUX\", \"id\": 6}, {\"name\": \"KSE\", \"id\": 7}, {\"name\": \"RIX\", \"id\": 8}], \"links\": [{\"weight\": 746, \"source\": 0, \"target\": 6}, {\"weight\": 3018, \"source\": 0, \"target\": 8}, {\"weight\": 14395, \"source\": 0, \"target\": 4}, {\"weight\": 8303, \"source\": 0, \"target\": 7}, {\"weight\": 16468, \"source\": 0, \"target\": 3}, {\"weight\": 11528, \"source\": 0, \"target\": 5}, {\"weight\": 16206, \"source\": 0, \"target\": 2}, {\"weight\": 4086, \"source\": 0, \"target\": 1}, {\"weight\": 4176, \"source\": 1, \"target\": 6}, {\"weight\": 1068, \"source\": 1, \"target\": 8}, {\"weight\": 10473, \"source\": 1, \"target\": 4}, {\"weight\": 7517, \"source\": 1, \"target\": 7}, {\"weight\": 13166, \"source\": 1, \"target\": 3}, {\"weight\": 7606, \"source\": 1, \"target\": 5}, {\"weight\": 18588, \"source\": 1, \"target\": 2}, {\"weight\": 15635, \"source\": 2, \"target\": 6}, {\"weight\": 17860, \"source\": 2, \"target\": 8}, {\"weight\": 13190, \"source\": 2, \"target\": 4}, {\"weight\": 15494, \"source\": 2, \"target\": 7}, {\"weight\": 12550, \"source\": 2, \"target\": 3}, {\"weight\": 12481, \"source\": 2, \"target\": 5}, {\"weight\": 16636, \"source\": 3, \"target\": 6}, {\"weight\": 13582, \"source\": 3, \"target\": 8}, {\"weight\": 15018, \"source\": 3, \"target\": 4}, {\"weight\": 11829, \"source\": 3, \"target\": 7}, {\"weight\": 12205, \"source\": 3, \"target\": 5}, {\"weight\": 14493, \"source\": 4, \"target\": 6}, {\"weight\": 11450, \"source\": 4, \"target\": 8}, {\"weight\": 17489, \"source\": 4, \"target\": 7}, {\"weight\": 3197, \"source\": 4, \"target\": 5}, {\"weight\": 11626, \"source\": 5, \"target\": 6}, {\"weight\": 8583, \"source\": 5, \"target\": 8}, {\"weight\": 14622, \"source\": 5, \"target\": 7}, {\"weight\": 3164, \"source\": 6, \"target\": 8}, {\"weight\": 8469, \"source\": 6, \"target\": 7}, {\"weight\": 6631, \"source\": 7, \"target\": 8}]}",
"id": 1192,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NYM, SOG, TIU, PSS, SMK, YKM, NUX, KSE, RIX\n- Travel distances (in kilometers) between each pair of airports:\nNYM to NUX: 746\nNYM to RIX: 3018\nNYM to SMK: 14395\nNYM to KSE: 8303\nNYM to PSS: 16468\nNYM to YKM: 11528\nNYM to TIU: 16206\nNYM to SOG: 4086\nSOG to NUX: 4176\nSOG to RIX: 1068\nSOG to SMK: 10473\nSOG to KSE: 7517\nSOG to PSS: 13166\nSOG to YKM: 7606\nSOG to TIU: 18588\nTIU to NUX: 15635\nTIU to RIX: 17860\nTIU to SMK: 13190\nTIU to KSE: 15494\nTIU to PSS: 12550\nTIU to YKM: 12481\nPSS to NUX: 16636\nPSS to RIX: 13582\nPSS to SMK: 15018\nPSS to KSE: 11829\nPSS to YKM: 12205\nSMK to NUX: 14493\nSMK to RIX: 11450\nSMK to KSE: 17489\nSMK to YKM: 3197\nYKM to NUX: 11626\nYKM to RIX: 8583\nYKM to KSE: 14622\nNUX to RIX: 3164\nNUX to KSE: 8469\nKSE to RIX: 6631\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, XNA, UFA, TNG, GOT, VDM, OIT, MXP, MJD\n- Travel distances (in kilometers) between each pair of airports:\nYKL to TNG: 6851\nYKL to UFA: 8872\nYKL to MXP: 6124\nYKL to XNA: 3170\nYKL to GOT: 6256\nYKL to VDM: 11379\nYKL to OIT: 12561\nYKL to MJD: 11814\nXNA to TNG: 7673\nXNA to UFA: 10022\nXNA to MXP: 8100\nXNA to GOT: 7662\nXNA to VDM: 9745\nXNA to OIT: 11108\nXNA to MJD: 13329\nUFA to TNG: 5104\nUFA to MXP: 3455\nUFA to GOT: 2712\nUFA to VDM: 15440\nUFA to OIT: 6302\nUFA to MJD: 3696\nTNG to MXP: 1649\nTNG to GOT: 2785\nTNG to VDM: 10345\nTNG to OIT: 11175\nTNG to MJD: 7405\nGOT to MXP: 1371\nGOT to VDM: 13030\nGOT to OIT: 8466\nGOT to MJD: 5995\nVDM to MXP: 11985\nVDM to OIT: 20229\nVDM to MJD: 16135\nOIT to MXP: 9528\nOIT to MJD: 6299\nMXP to MJD: 5928\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51548,
"style": "rule"
}
|
{
"exact_answer": 51548,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YKL\", \"id\": 0}, {\"name\": \"XNA\", \"id\": 1}, {\"name\": \"UFA\", \"id\": 2}, {\"name\": \"TNG\", \"id\": 3}, {\"name\": \"GOT\", \"id\": 4}, {\"name\": \"VDM\", \"id\": 5}, {\"name\": \"OIT\", \"id\": 6}, {\"name\": \"MXP\", \"id\": 7}, {\"name\": \"MJD\", \"id\": 8}], \"links\": [{\"weight\": 6851, \"source\": 0, \"target\": 3}, {\"weight\": 8872, \"source\": 0, \"target\": 2}, {\"weight\": 6124, \"source\": 0, \"target\": 7}, {\"weight\": 3170, \"source\": 0, \"target\": 1}, {\"weight\": 6256, \"source\": 0, \"target\": 4}, {\"weight\": 11379, \"source\": 0, \"target\": 5}, {\"weight\": 12561, \"source\": 0, \"target\": 6}, {\"weight\": 11814, \"source\": 0, \"target\": 8}, {\"weight\": 7673, \"source\": 1, \"target\": 3}, {\"weight\": 10022, \"source\": 1, \"target\": 2}, {\"weight\": 8100, \"source\": 1, \"target\": 7}, {\"weight\": 7662, \"source\": 1, \"target\": 4}, {\"weight\": 9745, \"source\": 1, \"target\": 5}, {\"weight\": 11108, \"source\": 1, \"target\": 6}, {\"weight\": 13329, \"source\": 1, \"target\": 8}, {\"weight\": 5104, \"source\": 2, \"target\": 3}, {\"weight\": 3455, \"source\": 2, \"target\": 7}, {\"weight\": 2712, \"source\": 2, \"target\": 4}, {\"weight\": 15440, \"source\": 2, \"target\": 5}, {\"weight\": 6302, \"source\": 2, \"target\": 6}, {\"weight\": 3696, \"source\": 2, \"target\": 8}, {\"weight\": 1649, \"source\": 3, \"target\": 7}, {\"weight\": 2785, \"source\": 3, \"target\": 4}, {\"weight\": 10345, \"source\": 3, \"target\": 5}, {\"weight\": 11175, \"source\": 3, \"target\": 6}, {\"weight\": 7405, \"source\": 3, \"target\": 8}, {\"weight\": 1371, \"source\": 4, \"target\": 7}, {\"weight\": 13030, \"source\": 4, \"target\": 5}, {\"weight\": 8466, \"source\": 4, \"target\": 6}, {\"weight\": 5995, \"source\": 4, \"target\": 8}, {\"weight\": 11985, \"source\": 5, \"target\": 7}, {\"weight\": 20229, \"source\": 5, \"target\": 6}, {\"weight\": 16135, \"source\": 5, \"target\": 8}, {\"weight\": 9528, \"source\": 6, \"target\": 7}, {\"weight\": 6299, \"source\": 6, \"target\": 8}, {\"weight\": 5928, \"source\": 7, \"target\": 8}]}",
"id": 1193,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YKL, XNA, UFA, TNG, GOT, VDM, OIT, MXP, MJD\n- Travel distances (in kilometers) between each pair of airports:\nYKL to TNG: 6851\nYKL to UFA: 8872\nYKL to MXP: 6124\nYKL to XNA: 3170\nYKL to GOT: 6256\nYKL to VDM: 11379\nYKL to OIT: 12561\nYKL to MJD: 11814\nXNA to TNG: 7673\nXNA to UFA: 10022\nXNA to MXP: 8100\nXNA to GOT: 7662\nXNA to VDM: 9745\nXNA to OIT: 11108\nXNA to MJD: 13329\nUFA to TNG: 5104\nUFA to MXP: 3455\nUFA to GOT: 2712\nUFA to VDM: 15440\nUFA to OIT: 6302\nUFA to MJD: 3696\nTNG to MXP: 1649\nTNG to GOT: 2785\nTNG to VDM: 10345\nTNG to OIT: 11175\nTNG to MJD: 7405\nGOT to MXP: 1371\nGOT to VDM: 13030\nGOT to OIT: 8466\nGOT to MJD: 5995\nVDM to MXP: 11985\nVDM to OIT: 20229\nVDM to MJD: 16135\nOIT to MXP: 9528\nOIT to MJD: 6299\nMXP to MJD: 5928\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: APF, KCA, EPR, BZO, SPD, KHZ, STV, KDO, BDB\n- Travel distances (in kilometers) between each pair of airports:\nAPF to SPD: 15348\nAPF to STV: 14602\nAPF to BZO: 9005\nAPF to KCA: 13520\nAPF to EPR: 19506\nAPF to KDO: 16055\nAPF to BDB: 15606\nAPF to KHZ: 11044\nKCA to SPD: 4492\nKCA to STV: 3746\nKCA to BZO: 7053\nKCA to EPR: 10219\nKCA to KDO: 5849\nKCA to BDB: 11083\nKCA to KHZ: 14966\nEPR to SPD: 7621\nEPR to STV: 8568\nEPR to BZO: 14471\nEPR to KDO: 7963\nEPR to BDB: 4474\nEPR to KHZ: 10503\nBZO to SPD: 8103\nBZO to STV: 6952\nBZO to KDO: 8132\nBZO to BDB: 16947\nBZO to KHZ: 17855\nSPD to STV: 2372\nSPD to KDO: 3356\nSPD to BDB: 9375\nSPD to KHZ: 15256\nKHZ to STV: 16808\nKHZ to KDO: 16400\nKHZ to BDB: 6888\nSTV to KDO: 2282\nSTV to BDB: 10575\nKDO to BDB: 10086\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55469,
"style": "rule"
}
|
{
"exact_answer": 55469,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"APF\", \"id\": 0}, {\"name\": \"KCA\", \"id\": 1}, {\"name\": \"EPR\", \"id\": 2}, {\"name\": \"BZO\", \"id\": 3}, {\"name\": \"SPD\", \"id\": 4}, {\"name\": \"KHZ\", \"id\": 5}, {\"name\": \"STV\", \"id\": 6}, {\"name\": \"KDO\", \"id\": 7}, {\"name\": \"BDB\", \"id\": 8}], \"links\": [{\"weight\": 15348, \"source\": 0, \"target\": 4}, {\"weight\": 14602, \"source\": 0, \"target\": 6}, {\"weight\": 9005, \"source\": 0, \"target\": 3}, {\"weight\": 13520, \"source\": 0, \"target\": 1}, {\"weight\": 19506, \"source\": 0, \"target\": 2}, {\"weight\": 16055, \"source\": 0, \"target\": 7}, {\"weight\": 15606, \"source\": 0, \"target\": 8}, {\"weight\": 11044, \"source\": 0, \"target\": 5}, {\"weight\": 4492, \"source\": 1, \"target\": 4}, {\"weight\": 3746, \"source\": 1, \"target\": 6}, {\"weight\": 7053, \"source\": 1, \"target\": 3}, {\"weight\": 10219, \"source\": 1, \"target\": 2}, {\"weight\": 5849, \"source\": 1, \"target\": 7}, {\"weight\": 11083, \"source\": 1, \"target\": 8}, {\"weight\": 14966, \"source\": 1, \"target\": 5}, {\"weight\": 7621, \"source\": 2, \"target\": 4}, {\"weight\": 8568, \"source\": 2, \"target\": 6}, {\"weight\": 14471, \"source\": 2, \"target\": 3}, {\"weight\": 7963, \"source\": 2, \"target\": 7}, {\"weight\": 4474, \"source\": 2, \"target\": 8}, {\"weight\": 10503, \"source\": 2, \"target\": 5}, {\"weight\": 8103, \"source\": 3, \"target\": 4}, {\"weight\": 6952, \"source\": 3, \"target\": 6}, {\"weight\": 8132, \"source\": 3, \"target\": 7}, {\"weight\": 16947, \"source\": 3, \"target\": 8}, {\"weight\": 17855, \"source\": 3, \"target\": 5}, {\"weight\": 2372, \"source\": 4, \"target\": 6}, {\"weight\": 3356, \"source\": 4, \"target\": 7}, {\"weight\": 9375, \"source\": 4, \"target\": 8}, {\"weight\": 15256, \"source\": 4, \"target\": 5}, {\"weight\": 16808, \"source\": 5, \"target\": 6}, {\"weight\": 16400, \"source\": 5, \"target\": 7}, {\"weight\": 6888, \"source\": 5, \"target\": 8}, {\"weight\": 2282, \"source\": 6, \"target\": 7}, {\"weight\": 10575, \"source\": 6, \"target\": 8}, {\"weight\": 10086, \"source\": 7, \"target\": 8}]}",
"id": 1194,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: APF, KCA, EPR, BZO, SPD, KHZ, STV, KDO, BDB\n- Travel distances (in kilometers) between each pair of airports:\nAPF to SPD: 15348\nAPF to STV: 14602\nAPF to BZO: 9005\nAPF to KCA: 13520\nAPF to EPR: 19506\nAPF to KDO: 16055\nAPF to BDB: 15606\nAPF to KHZ: 11044\nKCA to SPD: 4492\nKCA to STV: 3746\nKCA to BZO: 7053\nKCA to EPR: 10219\nKCA to KDO: 5849\nKCA to BDB: 11083\nKCA to KHZ: 14966\nEPR to SPD: 7621\nEPR to STV: 8568\nEPR to BZO: 14471\nEPR to KDO: 7963\nEPR to BDB: 4474\nEPR to KHZ: 10503\nBZO to SPD: 8103\nBZO to STV: 6952\nBZO to KDO: 8132\nBZO to BDB: 16947\nBZO to KHZ: 17855\nSPD to STV: 2372\nSPD to KDO: 3356\nSPD to BDB: 9375\nSPD to KHZ: 15256\nKHZ to STV: 16808\nKHZ to KDO: 16400\nKHZ to BDB: 6888\nSTV to KDO: 2282\nSTV to BDB: 10575\nKDO to BDB: 10086\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MDW, JED, GPB, MAB, DTM, SYZ, YNZ, YNA, PLZ\n- Travel distances (in kilometers) between each pair of airports:\nMDW to JED: 11148\nMDW to DTM: 6948\nMDW to MAB: 6690\nMDW to YNZ: 11819\nMDW to SYZ: 11391\nMDW to PLZ: 14913\nMDW to GPB: 8751\nMDW to YNA: 2284\nJED to SYZ: 1603\nJED to DTM: 4300\nJED to MAB: 10958\nJED to YNZ: 8077\nJED to PLZ: 6354\nJED to GPB: 11141\nJED to YNA: 9380\nGPB to DTM: 10460\nGPB to MAB: 2493\nGPB to YNZ: 18976\nGPB to SYZ: 12744\nGPB to PLZ: 8943\nGPB to YNA: 9839\nMAB to DTM: 8889\nMAB to YNZ: 17384\nMAB to SYZ: 12270\nMAB to PLZ: 10377\nMAB to YNA: 7421\nDTM to YNZ: 8608\nDTM to SYZ: 4492\nDTM to PLZ: 9813\nDTM to YNA: 5823\nSYZ to YNZ: 6673\nSYZ to PLZ: 7634\nSYZ to YNA: 9636\nYNZ to PLZ: 12668\nYNZ to YNA: 12952\nYNA to PLZ: 14616\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49471,
"style": "rule"
}
|
{
"exact_answer": 49471,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MDW\", \"id\": 0}, {\"name\": \"JED\", \"id\": 1}, {\"name\": \"GPB\", \"id\": 2}, {\"name\": \"MAB\", \"id\": 3}, {\"name\": \"DTM\", \"id\": 4}, {\"name\": \"SYZ\", \"id\": 5}, {\"name\": \"YNZ\", \"id\": 6}, {\"name\": \"YNA\", \"id\": 7}, {\"name\": \"PLZ\", \"id\": 8}], \"links\": [{\"weight\": 11148, \"source\": 0, \"target\": 1}, {\"weight\": 6948, \"source\": 0, \"target\": 4}, {\"weight\": 6690, \"source\": 0, \"target\": 3}, {\"weight\": 11819, \"source\": 0, \"target\": 6}, {\"weight\": 11391, \"source\": 0, \"target\": 5}, {\"weight\": 14913, \"source\": 0, \"target\": 8}, {\"weight\": 8751, \"source\": 0, \"target\": 2}, {\"weight\": 2284, \"source\": 0, \"target\": 7}, {\"weight\": 1603, \"source\": 1, \"target\": 5}, {\"weight\": 4300, \"source\": 1, \"target\": 4}, {\"weight\": 10958, \"source\": 1, \"target\": 3}, {\"weight\": 8077, \"source\": 1, \"target\": 6}, {\"weight\": 6354, \"source\": 1, \"target\": 8}, {\"weight\": 11141, \"source\": 1, \"target\": 2}, {\"weight\": 9380, \"source\": 1, \"target\": 7}, {\"weight\": 10460, \"source\": 2, \"target\": 4}, {\"weight\": 2493, \"source\": 2, \"target\": 3}, {\"weight\": 18976, \"source\": 2, \"target\": 6}, {\"weight\": 12744, \"source\": 2, \"target\": 5}, {\"weight\": 8943, \"source\": 2, \"target\": 8}, {\"weight\": 9839, \"source\": 2, \"target\": 7}, {\"weight\": 8889, \"source\": 3, \"target\": 4}, {\"weight\": 17384, \"source\": 3, \"target\": 6}, {\"weight\": 12270, \"source\": 3, \"target\": 5}, {\"weight\": 10377, \"source\": 3, \"target\": 8}, {\"weight\": 7421, \"source\": 3, \"target\": 7}, {\"weight\": 8608, \"source\": 4, \"target\": 6}, {\"weight\": 4492, \"source\": 4, \"target\": 5}, {\"weight\": 9813, \"source\": 4, \"target\": 8}, {\"weight\": 5823, \"source\": 4, \"target\": 7}, {\"weight\": 6673, \"source\": 5, \"target\": 6}, {\"weight\": 7634, \"source\": 5, \"target\": 8}, {\"weight\": 9636, \"source\": 5, \"target\": 7}, {\"weight\": 12668, \"source\": 6, \"target\": 8}, {\"weight\": 12952, \"source\": 6, \"target\": 7}, {\"weight\": 14616, \"source\": 7, \"target\": 8}]}",
"id": 1195,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MDW, JED, GPB, MAB, DTM, SYZ, YNZ, YNA, PLZ\n- Travel distances (in kilometers) between each pair of airports:\nMDW to JED: 11148\nMDW to DTM: 6948\nMDW to MAB: 6690\nMDW to YNZ: 11819\nMDW to SYZ: 11391\nMDW to PLZ: 14913\nMDW to GPB: 8751\nMDW to YNA: 2284\nJED to SYZ: 1603\nJED to DTM: 4300\nJED to MAB: 10958\nJED to YNZ: 8077\nJED to PLZ: 6354\nJED to GPB: 11141\nJED to YNA: 9380\nGPB to DTM: 10460\nGPB to MAB: 2493\nGPB to YNZ: 18976\nGPB to SYZ: 12744\nGPB to PLZ: 8943\nGPB to YNA: 9839\nMAB to DTM: 8889\nMAB to YNZ: 17384\nMAB to SYZ: 12270\nMAB to PLZ: 10377\nMAB to YNA: 7421\nDTM to YNZ: 8608\nDTM to SYZ: 4492\nDTM to PLZ: 9813\nDTM to YNA: 5823\nSYZ to YNZ: 6673\nSYZ to PLZ: 7634\nSYZ to YNA: 9636\nYNZ to PLZ: 12668\nYNZ to YNA: 12952\nYNA to PLZ: 14616\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGH, NUS, MGH, YYH, YCY, HHN, FAY, BWN, NLD\n- Travel distances (in kilometers) between each pair of airports:\nCGH to BWN: 17960\nCGH to YYH: 12752\nCGH to YCY: 11197\nCGH to MGH: 8589\nCGH to FAY: 7917\nCGH to NLD: 8611\nCGH to HHN: 9755\nCGH to NUS: 14911\nNUS to BWN: 7531\nNUS to YYH: 13675\nNUS to YCY: 15515\nNUS to MGH: 14274\nNUS to FAY: 13661\nNUS to NLD: 13451\nNUS to HHN: 17258\nMGH to BWN: 10497\nMGH to YYH: 18187\nMGH to YCY: 16582\nMGH to FAY: 14136\nMGH to NLD: 16326\nMGH to HHN: 9843\nYYH to BWN: 14731\nYYH to YCY: 4276\nYYH to FAY: 5498\nYYH to NLD: 7052\nYYH to HHN: 9516\nYCY to BWN: 16571\nYCY to FAY: 4026\nYCY to NLD: 7345\nYCY to HHN: 8163\nHHN to BWN: 11036\nHHN to FAY: 6908\nHHN to NLD: 10362\nFAY to BWN: 15426\nFAY to NLD: 3565\nBWN to NLD: 16385\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 71152,
"style": "rule"
}
|
{
"exact_answer": 71152,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CGH\", \"id\": 0}, {\"name\": \"NUS\", \"id\": 1}, {\"name\": \"MGH\", \"id\": 2}, {\"name\": \"YYH\", \"id\": 3}, {\"name\": \"YCY\", \"id\": 4}, {\"name\": \"HHN\", \"id\": 5}, {\"name\": \"FAY\", \"id\": 6}, {\"name\": \"BWN\", \"id\": 7}, {\"name\": \"NLD\", \"id\": 8}], \"links\": [{\"weight\": 17960, \"source\": 0, \"target\": 7}, {\"weight\": 12752, \"source\": 0, \"target\": 3}, {\"weight\": 11197, \"source\": 0, \"target\": 4}, {\"weight\": 8589, \"source\": 0, \"target\": 2}, {\"weight\": 7917, \"source\": 0, \"target\": 6}, {\"weight\": 8611, \"source\": 0, \"target\": 8}, {\"weight\": 9755, \"source\": 0, \"target\": 5}, {\"weight\": 14911, \"source\": 0, \"target\": 1}, {\"weight\": 7531, \"source\": 1, \"target\": 7}, {\"weight\": 13675, \"source\": 1, \"target\": 3}, {\"weight\": 15515, \"source\": 1, \"target\": 4}, {\"weight\": 14274, \"source\": 1, \"target\": 2}, {\"weight\": 13661, \"source\": 1, \"target\": 6}, {\"weight\": 13451, \"source\": 1, \"target\": 8}, {\"weight\": 17258, \"source\": 1, \"target\": 5}, {\"weight\": 10497, \"source\": 2, \"target\": 7}, {\"weight\": 18187, \"source\": 2, \"target\": 3}, {\"weight\": 16582, \"source\": 2, \"target\": 4}, {\"weight\": 14136, \"source\": 2, \"target\": 6}, {\"weight\": 16326, \"source\": 2, \"target\": 8}, {\"weight\": 9843, \"source\": 2, \"target\": 5}, {\"weight\": 14731, \"source\": 3, \"target\": 7}, {\"weight\": 4276, \"source\": 3, \"target\": 4}, {\"weight\": 5498, \"source\": 3, \"target\": 6}, {\"weight\": 7052, \"source\": 3, \"target\": 8}, {\"weight\": 9516, \"source\": 3, \"target\": 5}, {\"weight\": 16571, \"source\": 4, \"target\": 7}, {\"weight\": 4026, \"source\": 4, \"target\": 6}, {\"weight\": 7345, \"source\": 4, \"target\": 8}, {\"weight\": 8163, \"source\": 4, \"target\": 5}, {\"weight\": 11036, \"source\": 5, \"target\": 7}, {\"weight\": 6908, \"source\": 5, \"target\": 6}, {\"weight\": 10362, \"source\": 5, \"target\": 8}, {\"weight\": 15426, \"source\": 6, \"target\": 7}, {\"weight\": 3565, \"source\": 6, \"target\": 8}, {\"weight\": 16385, \"source\": 7, \"target\": 8}]}",
"id": 1196,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CGH, NUS, MGH, YYH, YCY, HHN, FAY, BWN, NLD\n- Travel distances (in kilometers) between each pair of airports:\nCGH to BWN: 17960\nCGH to YYH: 12752\nCGH to YCY: 11197\nCGH to MGH: 8589\nCGH to FAY: 7917\nCGH to NLD: 8611\nCGH to HHN: 9755\nCGH to NUS: 14911\nNUS to BWN: 7531\nNUS to YYH: 13675\nNUS to YCY: 15515\nNUS to MGH: 14274\nNUS to FAY: 13661\nNUS to NLD: 13451\nNUS to HHN: 17258\nMGH to BWN: 10497\nMGH to YYH: 18187\nMGH to YCY: 16582\nMGH to FAY: 14136\nMGH to NLD: 16326\nMGH to HHN: 9843\nYYH to BWN: 14731\nYYH to YCY: 4276\nYYH to FAY: 5498\nYYH to NLD: 7052\nYYH to HHN: 9516\nYCY to BWN: 16571\nYCY to FAY: 4026\nYCY to NLD: 7345\nYCY to HHN: 8163\nHHN to BWN: 11036\nHHN to FAY: 6908\nHHN to NLD: 10362\nFAY to BWN: 15426\nFAY to NLD: 3565\nBWN to NLD: 16385\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, HNH, JIJ, BHI, MVP, MRU, BVB, ABM, SKK\n- Travel distances (in kilometers) between each pair of airports:\nLGI to SKK: 7673\nLGI to BHI: 8095\nLGI to MVP: 3437\nLGI to BVB: 4994\nLGI to MRU: 17077\nLGI to JIJ: 13588\nLGI to HNH: 6473\nLGI to ABM: 17911\nHNH to SKK: 1657\nHNH to BHI: 13296\nHNH to MVP: 8692\nHNH to BVB: 10428\nHNH to MRU: 18528\nHNH to JIJ: 15384\nHNH to ABM: 15137\nJIJ to SKK: 16879\nJIJ to BHI: 12627\nJIJ to MVP: 14523\nJIJ to BVB: 12944\nJIJ to MRU: 4691\nJIJ to ABM: 13556\nBHI to SKK: 14737\nBHI to MVP: 6205\nBHI to BVB: 5533\nBHI to MRU: 12769\nBHI to ABM: 15737\nMVP to SKK: 10092\nMVP to BVB: 4202\nMVP to MRU: 15418\nMVP to ABM: 18848\nMRU to SKK: 20023\nMRU to BVB: 13859\nMRU to ABM: 10066\nBVB to SKK: 11678\nBVB to ABM: 19987\nABM to SKK: 14852\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63538,
"style": "rule"
}
|
{
"exact_answer": 63538,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LGI\", \"id\": 0}, {\"name\": \"HNH\", \"id\": 1}, {\"name\": \"JIJ\", \"id\": 2}, {\"name\": \"BHI\", \"id\": 3}, {\"name\": \"MVP\", \"id\": 4}, {\"name\": \"MRU\", \"id\": 5}, {\"name\": \"BVB\", \"id\": 6}, {\"name\": \"ABM\", \"id\": 7}, {\"name\": \"SKK\", \"id\": 8}], \"links\": [{\"weight\": 7673, \"source\": 0, \"target\": 8}, {\"weight\": 8095, \"source\": 0, \"target\": 3}, {\"weight\": 3437, \"source\": 0, \"target\": 4}, {\"weight\": 4994, \"source\": 0, \"target\": 6}, {\"weight\": 17077, \"source\": 0, \"target\": 5}, {\"weight\": 13588, \"source\": 0, \"target\": 2}, {\"weight\": 6473, \"source\": 0, \"target\": 1}, {\"weight\": 17911, \"source\": 0, \"target\": 7}, {\"weight\": 1657, \"source\": 1, \"target\": 8}, {\"weight\": 13296, \"source\": 1, \"target\": 3}, {\"weight\": 8692, \"source\": 1, \"target\": 4}, {\"weight\": 10428, \"source\": 1, \"target\": 6}, {\"weight\": 18528, \"source\": 1, \"target\": 5}, {\"weight\": 15384, \"source\": 1, \"target\": 2}, {\"weight\": 15137, \"source\": 1, \"target\": 7}, {\"weight\": 16879, \"source\": 2, \"target\": 8}, {\"weight\": 12627, \"source\": 2, \"target\": 3}, {\"weight\": 14523, \"source\": 2, \"target\": 4}, {\"weight\": 12944, \"source\": 2, \"target\": 6}, {\"weight\": 4691, \"source\": 2, \"target\": 5}, {\"weight\": 13556, \"source\": 2, \"target\": 7}, {\"weight\": 14737, \"source\": 3, \"target\": 8}, {\"weight\": 6205, \"source\": 3, \"target\": 4}, {\"weight\": 5533, \"source\": 3, \"target\": 6}, {\"weight\": 12769, \"source\": 3, \"target\": 5}, {\"weight\": 15737, \"source\": 3, \"target\": 7}, {\"weight\": 10092, \"source\": 4, \"target\": 8}, {\"weight\": 4202, \"source\": 4, \"target\": 6}, {\"weight\": 15418, \"source\": 4, \"target\": 5}, {\"weight\": 18848, \"source\": 4, \"target\": 7}, {\"weight\": 20023, \"source\": 5, \"target\": 8}, {\"weight\": 13859, \"source\": 5, \"target\": 6}, {\"weight\": 10066, \"source\": 5, \"target\": 7}, {\"weight\": 11678, \"source\": 6, \"target\": 8}, {\"weight\": 19987, \"source\": 6, \"target\": 7}, {\"weight\": 14852, \"source\": 7, \"target\": 8}]}",
"id": 1197,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LGI, HNH, JIJ, BHI, MVP, MRU, BVB, ABM, SKK\n- Travel distances (in kilometers) between each pair of airports:\nLGI to SKK: 7673\nLGI to BHI: 8095\nLGI to MVP: 3437\nLGI to BVB: 4994\nLGI to MRU: 17077\nLGI to JIJ: 13588\nLGI to HNH: 6473\nLGI to ABM: 17911\nHNH to SKK: 1657\nHNH to BHI: 13296\nHNH to MVP: 8692\nHNH to BVB: 10428\nHNH to MRU: 18528\nHNH to JIJ: 15384\nHNH to ABM: 15137\nJIJ to SKK: 16879\nJIJ to BHI: 12627\nJIJ to MVP: 14523\nJIJ to BVB: 12944\nJIJ to MRU: 4691\nJIJ to ABM: 13556\nBHI to SKK: 14737\nBHI to MVP: 6205\nBHI to BVB: 5533\nBHI to MRU: 12769\nBHI to ABM: 15737\nMVP to SKK: 10092\nMVP to BVB: 4202\nMVP to MRU: 15418\nMVP to ABM: 18848\nMRU to SKK: 20023\nMRU to BVB: 13859\nMRU to ABM: 10066\nBVB to SKK: 11678\nBVB to ABM: 19987\nABM to SKK: 14852\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BPN, STN, SFJ, BPT, ZRJ, ELI, PSC, PYJ, CBB\n- Travel distances (in kilometers) between each pair of airports:\nBPN to STN: 12288\nBPN to PYJ: 8118\nBPN to ELI: 15834\nBPN to CBB: 18973\nBPN to BPT: 15833\nBPN to PSC: 13006\nBPN to SFJ: 14737\nBPN to ZRJ: 14918\nSTN to PYJ: 6411\nSTN to ELI: 10832\nSTN to CBB: 10540\nSTN to BPT: 8090\nSTN to PSC: 7971\nSTN to SFJ: 3602\nSTN to ZRJ: 7227\nSFJ to PYJ: 8937\nSFJ to ELI: 10664\nSFJ to CBB: 12539\nSFJ to BPT: 8250\nSFJ to PSC: 7803\nSFJ to ZRJ: 7384\nBPT to PYJ: 13834\nBPT to ELI: 6141\nBPT to CBB: 7051\nBPT to PSC: 2836\nBPT to ZRJ: 3148\nZRJ to PYJ: 12968\nZRJ to ELI: 5758\nZRJ to CBB: 8547\nZRJ to PSC: 2897\nELI to PYJ: 14793\nELI to CBB: 12322\nELI to PSC: 3411\nPSC to PYJ: 11932\nPSC to CBB: 9017\nPYJ to CBB: 16594\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63011,
"style": "rule"
}
|
{
"exact_answer": 63011,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BPN\", \"id\": 0}, {\"name\": \"STN\", \"id\": 1}, {\"name\": \"SFJ\", \"id\": 2}, {\"name\": \"BPT\", \"id\": 3}, {\"name\": \"ZRJ\", \"id\": 4}, {\"name\": \"ELI\", \"id\": 5}, {\"name\": \"PSC\", \"id\": 6}, {\"name\": \"PYJ\", \"id\": 7}, {\"name\": \"CBB\", \"id\": 8}], \"links\": [{\"weight\": 12288, \"source\": 0, \"target\": 1}, {\"weight\": 8118, \"source\": 0, \"target\": 7}, {\"weight\": 15834, \"source\": 0, \"target\": 5}, {\"weight\": 18973, \"source\": 0, \"target\": 8}, {\"weight\": 15833, \"source\": 0, \"target\": 3}, {\"weight\": 13006, \"source\": 0, \"target\": 6}, {\"weight\": 14737, \"source\": 0, \"target\": 2}, {\"weight\": 14918, \"source\": 0, \"target\": 4}, {\"weight\": 6411, \"source\": 1, \"target\": 7}, {\"weight\": 10832, \"source\": 1, \"target\": 5}, {\"weight\": 10540, \"source\": 1, \"target\": 8}, {\"weight\": 8090, \"source\": 1, \"target\": 3}, {\"weight\": 7971, \"source\": 1, \"target\": 6}, {\"weight\": 3602, \"source\": 1, \"target\": 2}, {\"weight\": 7227, \"source\": 1, \"target\": 4}, {\"weight\": 8937, \"source\": 2, \"target\": 7}, {\"weight\": 10664, \"source\": 2, \"target\": 5}, {\"weight\": 12539, \"source\": 2, \"target\": 8}, {\"weight\": 8250, \"source\": 2, \"target\": 3}, {\"weight\": 7803, \"source\": 2, \"target\": 6}, {\"weight\": 7384, \"source\": 2, \"target\": 4}, {\"weight\": 13834, \"source\": 3, \"target\": 7}, {\"weight\": 6141, \"source\": 3, \"target\": 5}, {\"weight\": 7051, \"source\": 3, \"target\": 8}, {\"weight\": 2836, \"source\": 3, \"target\": 6}, {\"weight\": 3148, \"source\": 3, \"target\": 4}, {\"weight\": 12968, \"source\": 4, \"target\": 7}, {\"weight\": 5758, \"source\": 4, \"target\": 5}, {\"weight\": 8547, \"source\": 4, \"target\": 8}, {\"weight\": 2897, \"source\": 4, \"target\": 6}, {\"weight\": 14793, \"source\": 5, \"target\": 7}, {\"weight\": 12322, \"source\": 5, \"target\": 8}, {\"weight\": 3411, \"source\": 5, \"target\": 6}, {\"weight\": 11932, \"source\": 6, \"target\": 7}, {\"weight\": 9017, \"source\": 6, \"target\": 8}, {\"weight\": 16594, \"source\": 7, \"target\": 8}]}",
"id": 1198,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BPN, STN, SFJ, BPT, ZRJ, ELI, PSC, PYJ, CBB\n- Travel distances (in kilometers) between each pair of airports:\nBPN to STN: 12288\nBPN to PYJ: 8118\nBPN to ELI: 15834\nBPN to CBB: 18973\nBPN to BPT: 15833\nBPN to PSC: 13006\nBPN to SFJ: 14737\nBPN to ZRJ: 14918\nSTN to PYJ: 6411\nSTN to ELI: 10832\nSTN to CBB: 10540\nSTN to BPT: 8090\nSTN to PSC: 7971\nSTN to SFJ: 3602\nSTN to ZRJ: 7227\nSFJ to PYJ: 8937\nSFJ to ELI: 10664\nSFJ to CBB: 12539\nSFJ to BPT: 8250\nSFJ to PSC: 7803\nSFJ to ZRJ: 7384\nBPT to PYJ: 13834\nBPT to ELI: 6141\nBPT to CBB: 7051\nBPT to PSC: 2836\nBPT to ZRJ: 3148\nZRJ to PYJ: 12968\nZRJ to ELI: 5758\nZRJ to CBB: 8547\nZRJ to PSC: 2897\nELI to PYJ: 14793\nELI to CBB: 12322\nELI to PSC: 3411\nPSC to PYJ: 11932\nPSC to CBB: 9017\nPYJ to CBB: 16594\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PFB, LEI, GFK, SKU, TLN, KRY, HMO, YPL, MBE\n- Travel distances (in kilometers) between each pair of airports:\nPFB to HMO: 9424\nPFB to GFK: 9937\nPFB to SKU: 11349\nPFB to LEI: 9134\nPFB to TLN: 10835\nPFB to KRY: 16344\nPFB to MBE: 20112\nPFB to YPL: 10244\nLEI to HMO: 9739\nLEI to GFK: 7854\nLEI to SKU: 2499\nLEI to TLN: 2134\nLEI to KRY: 7648\nLEI to MBE: 12098\nLEI to YPL: 7637\nGFK to HMO: 2878\nGFK to SKU: 9259\nGFK to TLN: 7954\nGFK to KRY: 13017\nGFK to MBE: 11338\nGFK to YPL: 2038\nSKU to HMO: 11302\nSKU to TLN: 2830\nSKU to KRY: 5671\nSKU to MBE: 10831\nSKU to YPL: 9346\nTLN to HMO: 10009\nTLN to KRY: 7176\nTLN to MBE: 11666\nTLN to YPL: 7980\nKRY to HMO: 13627\nKRY to MBE: 5820\nKRY to YPL: 12731\nHMO to MBE: 10713\nHMO to YPL: 3666\nYPL to MBE: 11388\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51317,
"style": "rule"
}
|
{
"exact_answer": 51317,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PFB\", \"id\": 0}, {\"name\": \"LEI\", \"id\": 1}, {\"name\": \"GFK\", \"id\": 2}, {\"name\": \"SKU\", \"id\": 3}, {\"name\": \"TLN\", \"id\": 4}, {\"name\": \"KRY\", \"id\": 5}, {\"name\": \"HMO\", \"id\": 6}, {\"name\": \"YPL\", \"id\": 7}, {\"name\": \"MBE\", \"id\": 8}], \"links\": [{\"weight\": 9424, \"source\": 0, \"target\": 6}, {\"weight\": 9937, \"source\": 0, \"target\": 2}, {\"weight\": 11349, \"source\": 0, \"target\": 3}, {\"weight\": 9134, \"source\": 0, \"target\": 1}, {\"weight\": 10835, \"source\": 0, \"target\": 4}, {\"weight\": 16344, \"source\": 0, \"target\": 5}, {\"weight\": 20112, \"source\": 0, \"target\": 8}, {\"weight\": 10244, \"source\": 0, \"target\": 7}, {\"weight\": 9739, \"source\": 1, \"target\": 6}, {\"weight\": 7854, \"source\": 1, \"target\": 2}, {\"weight\": 2499, \"source\": 1, \"target\": 3}, {\"weight\": 2134, \"source\": 1, \"target\": 4}, {\"weight\": 7648, \"source\": 1, \"target\": 5}, {\"weight\": 12098, \"source\": 1, \"target\": 8}, {\"weight\": 7637, \"source\": 1, \"target\": 7}, {\"weight\": 2878, \"source\": 2, \"target\": 6}, {\"weight\": 9259, \"source\": 2, \"target\": 3}, {\"weight\": 7954, \"source\": 2, \"target\": 4}, {\"weight\": 13017, \"source\": 2, \"target\": 5}, {\"weight\": 11338, \"source\": 2, \"target\": 8}, {\"weight\": 2038, \"source\": 2, \"target\": 7}, {\"weight\": 11302, \"source\": 3, \"target\": 6}, {\"weight\": 2830, \"source\": 3, \"target\": 4}, {\"weight\": 5671, \"source\": 3, \"target\": 5}, {\"weight\": 10831, \"source\": 3, \"target\": 8}, {\"weight\": 9346, \"source\": 3, \"target\": 7}, {\"weight\": 10009, \"source\": 4, \"target\": 6}, {\"weight\": 7176, \"source\": 4, \"target\": 5}, {\"weight\": 11666, \"source\": 4, \"target\": 8}, {\"weight\": 7980, \"source\": 4, \"target\": 7}, {\"weight\": 13627, \"source\": 5, \"target\": 6}, {\"weight\": 5820, \"source\": 5, \"target\": 8}, {\"weight\": 12731, \"source\": 5, \"target\": 7}, {\"weight\": 10713, \"source\": 6, \"target\": 8}, {\"weight\": 3666, \"source\": 6, \"target\": 7}, {\"weight\": 11388, \"source\": 7, \"target\": 8}]}",
"id": 1199,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PFB, LEI, GFK, SKU, TLN, KRY, HMO, YPL, MBE\n- Travel distances (in kilometers) between each pair of airports:\nPFB to HMO: 9424\nPFB to GFK: 9937\nPFB to SKU: 11349\nPFB to LEI: 9134\nPFB to TLN: 10835\nPFB to KRY: 16344\nPFB to MBE: 20112\nPFB to YPL: 10244\nLEI to HMO: 9739\nLEI to GFK: 7854\nLEI to SKU: 2499\nLEI to TLN: 2134\nLEI to KRY: 7648\nLEI to MBE: 12098\nLEI to YPL: 7637\nGFK to HMO: 2878\nGFK to SKU: 9259\nGFK to TLN: 7954\nGFK to KRY: 13017\nGFK to MBE: 11338\nGFK to YPL: 2038\nSKU to HMO: 11302\nSKU to TLN: 2830\nSKU to KRY: 5671\nSKU to MBE: 10831\nSKU to YPL: 9346\nTLN to HMO: 10009\nTLN to KRY: 7176\nTLN to MBE: 11666\nTLN to YPL: 7980\nKRY to HMO: 13627\nKRY to MBE: 5820\nKRY to YPL: 12731\nHMO to MBE: 10713\nHMO to YPL: 3666\nYPL to MBE: 11388\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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