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TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: ASU, PDT, TEE, VOG, YXC, NVT, NYO, BCI, BQK\n- Travel distances (in kilometers) between each pair of airports:\nASU to VOG: 13172\nASU to YXC: 10342\nASU to NVT: 1577\nASU to BQK: 7520\nASU to TEE: 10186\nASU to NYO: 11965\nASU to PDT: 10571\nASU to BCI: 14410\nPDT to VOG: 10549\nPDT to YXC: 1112\nPDT to NVT: 11571\nPDT to BQK: 4164\nPDT to TEE: 10290\nPDT to NYO: 9326\nPDT to BCI: 12923\nTEE to VOG: 4180\nTEE to YXC: 9346\nTEE to NVT: 9491\nTEE to BQK: 8529\nTEE to NYO: 3144\nTEE to BCI: 17348\nVOG to YXC: 9612\nVOG to NVT: 12477\nVOG to BQK: 9966\nVOG to NYO: 2611\nVOG to BCI: 13552\nYXC to NVT: 11179\nYXC to BQK: 3738\nYXC to NYO: 8389\nYXC to BCI: 13333\nNVT to BQK: 8292\nNVT to NYO: 11270\nNVT to BCI: 15259\nNYO to BQK: 8472\nNYO to BCI: 15696\nBCI to BQK: 15812\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55668, "style": "rule" }	{ "exact_answer": 55668, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ASU\", \"id\": 0}, {\"name\": \"PDT\", \"id\": 1}, {\"name\": \"TEE\", \"id\": 2}, {\"name\": \"VOG\", \"id\": 3}, {\"name\": \"YXC\", \"id\": 4}, {\"name\": \"NVT\", \"id\": 5}, {\"name\": \"NYO\", \"id\": 6}, {\"name\": \"BCI\", \"id\": 7}, {\"name\": \"BQK\", \"id\": 8}], \"links\": [{\"weight\": 13172, \"source\": 0, \"target\": 3}, {\"weight\": 10342, \"source\": 0, \"target\": 4}, {\"weight\": 1577, \"source\": 0, \"target\": 5}, {\"weight\": 7520, \"source\": 0, \"target\": 8}, {\"weight\": 10186, \"source\": 0, \"target\": 2}, {\"weight\": 11965, \"source\": 0, \"target\": 6}, {\"weight\": 10571, \"source\": 0, \"target\": 1}, {\"weight\": 14410, \"source\": 0, \"target\": 7}, {\"weight\": 10549, \"source\": 1, \"target\": 3}, {\"weight\": 1112, \"source\": 1, \"target\": 4}, {\"weight\": 11571, \"source\": 1, \"target\": 5}, {\"weight\": 4164, \"source\": 1, \"target\": 8}, {\"weight\": 10290, \"source\": 1, \"target\": 2}, {\"weight\": 9326, \"source\": 1, \"target\": 6}, {\"weight\": 12923, \"source\": 1, \"target\": 7}, {\"weight\": 4180, \"source\": 2, \"target\": 3}, {\"weight\": 9346, \"source\": 2, \"target\": 4}, {\"weight\": 9491, \"source\": 2, \"target\": 5}, {\"weight\": 8529, \"source\": 2, \"target\": 8}, {\"weight\": 3144, \"source\": 2, \"target\": 6}, {\"weight\": 17348, \"source\": 2, \"target\": 7}, {\"weight\": 9612, \"source\": 3, \"target\": 4}, {\"weight\": 12477, \"source\": 3, \"target\": 5}, {\"weight\": 9966, \"source\": 3, \"target\": 8}, {\"weight\": 2611, \"source\": 3, \"target\": 6}, {\"weight\": 13552, \"source\": 3, \"target\": 7}, {\"weight\": 11179, \"source\": 4, \"target\": 5}, {\"weight\": 3738, \"source\": 4, \"target\": 8}, {\"weight\": 8389, \"source\": 4, \"target\": 6}, {\"weight\": 13333, \"source\": 4, \"target\": 7}, {\"weight\": 8292, \"source\": 5, \"target\": 8}, {\"weight\": 11270, \"source\": 5, \"target\": 6}, {\"weight\": 15259, \"source\": 5, \"target\": 7}, {\"weight\": 8472, \"source\": 6, \"target\": 8}, {\"weight\": 15696, \"source\": 6, \"target\": 7}, {\"weight\": 15812, \"source\": 7, \"target\": 8}]}", "id": 1400, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: ASU, PDT, TEE, VOG, YXC, NVT, NYO, BCI, BQK\n- Travel distances (in kilometers) between each pair of airports:\nASU to VOG: 13172\nASU to YXC: 10342\nASU to NVT: 1577\nASU to BQK: 7520\nASU to TEE: 10186\nASU to NYO: 11965\nASU to PDT: 10571\nASU to BCI: 14410\nPDT to VOG: 10549\nPDT to YXC: 1112\nPDT to NVT: 11571\nPDT to BQK: 4164\nPDT to TEE: 10290\nPDT to NYO: 9326\nPDT to BCI: 12923\nTEE to VOG: 4180\nTEE to YXC: 9346\nTEE to NVT: 9491\nTEE to BQK: 8529\nTEE to NYO: 3144\nTEE to BCI: 17348\nVOG to YXC: 9612\nVOG to NVT: 12477\nVOG to BQK: 9966\nVOG to NYO: 2611\nVOG to BCI: 13552\nYXC to NVT: 11179\nYXC to BQK: 3738\nYXC to NYO: 8389\nYXC to BCI: 13333\nNVT to BQK: 8292\nNVT to NYO: 11270\nNVT to BCI: 15259\nNYO to BQK: 8472\nNYO to BCI: 15696\nBCI to BQK: 15812\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: RCH, BLV, THR, OPS, SKN, RVT, DGO, FEG, POG\n- Travel distances (in kilometers) between each pair of airports:\nRCH to OPS: 6066\nRCH to FEG: 14706\nRCH to DGO: 4696\nRCH to THR: 13561\nRCH to POG: 13018\nRCH to BLV: 4892\nRCH to RVT: 20081\nRCH to SKN: 11141\nBLV to OPS: 7893\nBLV to FEG: 13301\nBLV to DGO: 4295\nBLV to THR: 12857\nBLV to POG: 13467\nBLV to RVT: 20479\nBLV to SKN: 9218\nTHR to OPS: 13249\nTHR to FEG: 2791\nTHR to DGO: 13423\nTHR to POG: 7157\nTHR to RVT: 10709\nTHR to SKN: 5091\nOPS to FEG: 14751\nOPS to DGO: 8037\nOPS to POG: 9558\nOPS to RVT: 17947\nOPS to SKN: 11870\nSKN to FEG: 5239\nSKN to DGO: 9580\nSKN to POG: 8852\nSKN to RVT: 14962\nRVT to FEG: 10183\nRVT to DGO: 17317\nRVT to POG: 12268\nDGO to FEG: 13632\nDGO to POG: 13764\nFEG to POG: 8870\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 64166, "style": "rule" }	{ "exact_answer": 64166, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"RCH\", \"id\": 0}, {\"name\": \"BLV\", \"id\": 1}, {\"name\": \"THR\", \"id\": 2}, {\"name\": \"OPS\", \"id\": 3}, {\"name\": \"SKN\", \"id\": 4}, {\"name\": \"RVT\", \"id\": 5}, {\"name\": \"DGO\", \"id\": 6}, {\"name\": \"FEG\", \"id\": 7}, {\"name\": \"POG\", \"id\": 8}], \"links\": [{\"weight\": 6066, \"source\": 0, \"target\": 3}, {\"weight\": 14706, \"source\": 0, \"target\": 7}, {\"weight\": 4696, \"source\": 0, \"target\": 6}, {\"weight\": 13561, \"source\": 0, \"target\": 2}, {\"weight\": 13018, \"source\": 0, \"target\": 8}, {\"weight\": 4892, \"source\": 0, \"target\": 1}, {\"weight\": 20081, \"source\": 0, \"target\": 5}, {\"weight\": 11141, \"source\": 0, \"target\": 4}, {\"weight\": 7893, \"source\": 1, \"target\": 3}, {\"weight\": 13301, \"source\": 1, \"target\": 7}, {\"weight\": 4295, \"source\": 1, \"target\": 6}, {\"weight\": 12857, \"source\": 1, \"target\": 2}, {\"weight\": 13467, \"source\": 1, \"target\": 8}, {\"weight\": 20479, \"source\": 1, \"target\": 5}, {\"weight\": 9218, \"source\": 1, \"target\": 4}, {\"weight\": 13249, \"source\": 2, \"target\": 3}, {\"weight\": 2791, \"source\": 2, \"target\": 7}, {\"weight\": 13423, \"source\": 2, \"target\": 6}, {\"weight\": 7157, \"source\": 2, \"target\": 8}, {\"weight\": 10709, \"source\": 2, \"target\": 5}, {\"weight\": 5091, \"source\": 2, \"target\": 4}, {\"weight\": 14751, \"source\": 3, \"target\": 7}, {\"weight\": 8037, \"source\": 3, \"target\": 6}, {\"weight\": 9558, \"source\": 3, \"target\": 8}, {\"weight\": 17947, \"source\": 3, \"target\": 5}, {\"weight\": 11870, \"source\": 3, \"target\": 4}, {\"weight\": 5239, \"source\": 4, \"target\": 7}, {\"weight\": 9580, \"source\": 4, \"target\": 6}, {\"weight\": 8852, \"source\": 4, \"target\": 8}, {\"weight\": 14962, \"source\": 4, \"target\": 5}, {\"weight\": 10183, \"source\": 5, \"target\": 7}, {\"weight\": 17317, \"source\": 5, \"target\": 6}, {\"weight\": 12268, \"source\": 5, \"target\": 8}, {\"weight\": 13632, \"source\": 6, \"target\": 7}, {\"weight\": 13764, \"source\": 6, \"target\": 8}, {\"weight\": 8870, \"source\": 7, \"target\": 8}]}", "id": 1401, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: RCH, BLV, THR, OPS, SKN, RVT, DGO, FEG, POG\n- Travel distances (in kilometers) between each pair of airports:\nRCH to OPS: 6066\nRCH to FEG: 14706\nRCH to DGO: 4696\nRCH to THR: 13561\nRCH to POG: 13018\nRCH to BLV: 4892\nRCH to RVT: 20081\nRCH to SKN: 11141\nBLV to OPS: 7893\nBLV to FEG: 13301\nBLV to DGO: 4295\nBLV to THR: 12857\nBLV to POG: 13467\nBLV to RVT: 20479\nBLV to SKN: 9218\nTHR to OPS: 13249\nTHR to FEG: 2791\nTHR to DGO: 13423\nTHR to POG: 7157\nTHR to RVT: 10709\nTHR to SKN: 5091\nOPS to FEG: 14751\nOPS to DGO: 8037\nOPS to POG: 9558\nOPS to RVT: 17947\nOPS to SKN: 11870\nSKN to FEG: 5239\nSKN to DGO: 9580\nSKN to POG: 8852\nSKN to RVT: 14962\nRVT to FEG: 10183\nRVT to DGO: 17317\nRVT to POG: 12268\nDGO to FEG: 13632\nDGO to POG: 13764\nFEG to POG: 8870\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: ASF, PPS, MGH, SFT, KNH, DJG, GJT, BIA, SDY\n- Travel distances (in kilometers) between each pair of airports:\nASF to PPS: 8285\nASF to BIA: 3722\nASF to MGH: 9048\nASF to SDY: 11448\nASF to GJT: 10682\nASF to KNH: 7236\nASF to DJG: 5503\nASF to SFT: 3098\nPPS to BIA: 11530\nPPS to MGH: 11167\nPPS to SDY: 12747\nPPS to GJT: 12735\nPPS to KNH: 1772\nPPS to DJG: 13474\nPPS to SFT: 10512\nMGH to BIA: 9518\nMGH to SDY: 16635\nMGH to GJT: 16342\nMGH to KNH: 12140\nMGH to DJG: 9951\nMGH to SFT: 10802\nSFT to BIA: 2562\nSFT to SDY: 9558\nSFT to GJT: 8784\nSFT to KNH: 9228\nSFT to DJG: 4842\nKNH to BIA: 10424\nKNH to SDY: 11594\nKNH to GJT: 11590\nKNH to DJG: 12424\nDJG to BIA: 2569\nDJG to SDY: 10891\nDJG to GJT: 10703\nGJT to BIA: 9079\nGJT to SDY: 1362\nBIA to SDY: 9261\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 53875, "style": "rule" }	{ "exact_answer": 53875, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ASF\", \"id\": 0}, {\"name\": \"PPS\", \"id\": 1}, {\"name\": \"MGH\", \"id\": 2}, {\"name\": \"SFT\", \"id\": 3}, {\"name\": \"KNH\", \"id\": 4}, {\"name\": \"DJG\", \"id\": 5}, {\"name\": \"GJT\", \"id\": 6}, {\"name\": \"BIA\", \"id\": 7}, {\"name\": \"SDY\", \"id\": 8}], \"links\": [{\"weight\": 8285, \"source\": 0, \"target\": 1}, {\"weight\": 3722, \"source\": 0, \"target\": 7}, {\"weight\": 9048, \"source\": 0, \"target\": 2}, {\"weight\": 11448, \"source\": 0, \"target\": 8}, {\"weight\": 10682, \"source\": 0, \"target\": 6}, {\"weight\": 7236, \"source\": 0, \"target\": 4}, {\"weight\": 5503, \"source\": 0, \"target\": 5}, {\"weight\": 3098, \"source\": 0, \"target\": 3}, {\"weight\": 11530, \"source\": 1, \"target\": 7}, {\"weight\": 11167, \"source\": 1, \"target\": 2}, {\"weight\": 12747, \"source\": 1, \"target\": 8}, {\"weight\": 12735, \"source\": 1, \"target\": 6}, {\"weight\": 1772, \"source\": 1, \"target\": 4}, {\"weight\": 13474, \"source\": 1, \"target\": 5}, {\"weight\": 10512, \"source\": 1, \"target\": 3}, {\"weight\": 9518, \"source\": 2, \"target\": 7}, {\"weight\": 16635, \"source\": 2, \"target\": 8}, {\"weight\": 16342, \"source\": 2, \"target\": 6}, {\"weight\": 12140, \"source\": 2, \"target\": 4}, {\"weight\": 9951, \"source\": 2, \"target\": 5}, {\"weight\": 10802, \"source\": 2, \"target\": 3}, {\"weight\": 2562, \"source\": 3, \"target\": 7}, {\"weight\": 9558, \"source\": 3, \"target\": 8}, {\"weight\": 8784, \"source\": 3, \"target\": 6}, {\"weight\": 9228, \"source\": 3, \"target\": 4}, {\"weight\": 4842, \"source\": 3, \"target\": 5}, {\"weight\": 10424, \"source\": 4, \"target\": 7}, {\"weight\": 11594, \"source\": 4, \"target\": 8}, {\"weight\": 11590, \"source\": 4, \"target\": 6}, {\"weight\": 12424, \"source\": 4, \"target\": 5}, {\"weight\": 2569, \"source\": 5, \"target\": 7}, {\"weight\": 10891, \"source\": 5, \"target\": 8}, {\"weight\": 10703, \"source\": 5, \"target\": 6}, {\"weight\": 9079, \"source\": 6, \"target\": 7}, {\"weight\": 1362, \"source\": 6, \"target\": 8}, {\"weight\": 9261, \"source\": 7, \"target\": 8}]}", "id": 1402, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: ASF, PPS, MGH, SFT, KNH, DJG, GJT, BIA, SDY\n- Travel distances (in kilometers) between each pair of airports:\nASF to PPS: 8285\nASF to BIA: 3722\nASF to MGH: 9048\nASF to SDY: 11448\nASF to GJT: 10682\nASF to KNH: 7236\nASF to DJG: 5503\nASF to SFT: 3098\nPPS to BIA: 11530\nPPS to MGH: 11167\nPPS to SDY: 12747\nPPS to GJT: 12735\nPPS to KNH: 1772\nPPS to DJG: 13474\nPPS to SFT: 10512\nMGH to BIA: 9518\nMGH to SDY: 16635\nMGH to GJT: 16342\nMGH to KNH: 12140\nMGH to DJG: 9951\nMGH to SFT: 10802\nSFT to BIA: 2562\nSFT to SDY: 9558\nSFT to GJT: 8784\nSFT to KNH: 9228\nSFT to DJG: 4842\nKNH to BIA: 10424\nKNH to SDY: 11594\nKNH to GJT: 11590\nKNH to DJG: 12424\nDJG to BIA: 2569\nDJG to SDY: 10891\nDJG to GJT: 10703\nGJT to BIA: 9079\nGJT to SDY: 1362\nBIA to SDY: 9261\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TGP, PPK, PLW, EIN, PMI, YSO, BCD, PNL, MUX\n- Travel distances (in kilometers) between each pair of airports:\nTGP to PMI: 7063\nTGP to BCD: 6475\nTGP to PPK: 3999\nTGP to PNL: 6787\nTGP to EIN: 5979\nTGP to MUX: 4468\nTGP to PLW: 8219\nTGP to YSO: 11014\nPPK to PMI: 7449\nPPK to BCD: 7126\nPPK to PNL: 6953\nPPK to EIN: 6650\nPPK to MUX: 3489\nPPK to PLW: 8605\nPPK to YSO: 11743\nPLW to PMI: 12690\nPLW to BCD: 2481\nPLW to PNL: 12105\nPLW to EIN: 12330\nPLW to MUX: 6694\nPLW to YSO: 17411\nEIN to PMI: 1338\nEIN to BCD: 10908\nEIN to PNL: 1735\nEIN to MUX: 6222\nEIN to YSO: 5155\nPMI to BCD: 11793\nPMI to PNL: 1331\nPMI to MUX: 6323\nPMI to YSO: 6077\nYSO to BCD: 15783\nYSO to PNL: 6682\nYSO to MUX: 11206\nBCD to PNL: 11268\nBCD to MUX: 6091\nPNL to MUX: 5738\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 44580, "style": "rule" }	{ "exact_answer": 44580, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGP\", \"id\": 0}, {\"name\": \"PPK\", \"id\": 1}, {\"name\": \"PLW\", \"id\": 2}, {\"name\": \"EIN\", \"id\": 3}, {\"name\": \"PMI\", \"id\": 4}, {\"name\": \"YSO\", \"id\": 5}, {\"name\": \"BCD\", \"id\": 6}, {\"name\": \"PNL\", \"id\": 7}, {\"name\": \"MUX\", \"id\": 8}], \"links\": [{\"weight\": 7063, \"source\": 0, \"target\": 4}, {\"weight\": 6475, \"source\": 0, \"target\": 6}, {\"weight\": 3999, \"source\": 0, \"target\": 1}, {\"weight\": 6787, \"source\": 0, \"target\": 7}, {\"weight\": 5979, \"source\": 0, \"target\": 3}, {\"weight\": 4468, \"source\": 0, \"target\": 8}, {\"weight\": 8219, \"source\": 0, \"target\": 2}, {\"weight\": 11014, \"source\": 0, \"target\": 5}, {\"weight\": 7449, \"source\": 1, \"target\": 4}, {\"weight\": 7126, \"source\": 1, \"target\": 6}, {\"weight\": 6953, \"source\": 1, \"target\": 7}, {\"weight\": 6650, \"source\": 1, \"target\": 3}, {\"weight\": 3489, \"source\": 1, \"target\": 8}, {\"weight\": 8605, \"source\": 1, \"target\": 2}, {\"weight\": 11743, \"source\": 1, \"target\": 5}, {\"weight\": 12690, \"source\": 2, \"target\": 4}, {\"weight\": 2481, \"source\": 2, \"target\": 6}, {\"weight\": 12105, \"source\": 2, \"target\": 7}, {\"weight\": 12330, \"source\": 2, \"target\": 3}, {\"weight\": 6694, \"source\": 2, \"target\": 8}, {\"weight\": 17411, \"source\": 2, \"target\": 5}, {\"weight\": 1338, \"source\": 3, \"target\": 4}, {\"weight\": 10908, \"source\": 3, \"target\": 6}, {\"weight\": 1735, \"source\": 3, \"target\": 7}, {\"weight\": 6222, \"source\": 3, \"target\": 8}, {\"weight\": 5155, \"source\": 3, \"target\": 5}, {\"weight\": 11793, \"source\": 4, \"target\": 6}, {\"weight\": 1331, \"source\": 4, \"target\": 7}, {\"weight\": 6323, \"source\": 4, \"target\": 8}, {\"weight\": 6077, \"source\": 4, \"target\": 5}, {\"weight\": 15783, \"source\": 5, \"target\": 6}, {\"weight\": 6682, \"source\": 5, \"target\": 7}, {\"weight\": 11206, \"source\": 5, \"target\": 8}, {\"weight\": 11268, \"source\": 6, \"target\": 7}, {\"weight\": 6091, \"source\": 6, \"target\": 8}, {\"weight\": 5738, \"source\": 7, \"target\": 8}]}", "id": 1403, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TGP, PPK, PLW, EIN, PMI, YSO, BCD, PNL, MUX\n- Travel distances (in kilometers) between each pair of airports:\nTGP to PMI: 7063\nTGP to BCD: 6475\nTGP to PPK: 3999\nTGP to PNL: 6787\nTGP to EIN: 5979\nTGP to MUX: 4468\nTGP to PLW: 8219\nTGP to YSO: 11014\nPPK to PMI: 7449\nPPK to BCD: 7126\nPPK to PNL: 6953\nPPK to EIN: 6650\nPPK to MUX: 3489\nPPK to PLW: 8605\nPPK to YSO: 11743\nPLW to PMI: 12690\nPLW to BCD: 2481\nPLW to PNL: 12105\nPLW to EIN: 12330\nPLW to MUX: 6694\nPLW to YSO: 17411\nEIN to PMI: 1338\nEIN to BCD: 10908\nEIN to PNL: 1735\nEIN to MUX: 6222\nEIN to YSO: 5155\nPMI to BCD: 11793\nPMI to PNL: 1331\nPMI to MUX: 6323\nPMI to YSO: 6077\nYSO to BCD: 15783\nYSO to PNL: 6682\nYSO to MUX: 11206\nBCD to PNL: 11268\nBCD to MUX: 6091\nPNL to MUX: 5738\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TNO, STC, XSC, ESB, FTU, AXP, MAN, BHB, MPN\n- Travel distances (in kilometers) between each pair of airports:\nTNO to MAN: 8915\nTNO to BHB: 4163\nTNO to ESB: 11756\nTNO to STC: 4215\nTNO to XSC: 2462\nTNO to MPN: 8245\nTNO to FTU: 16045\nTNO to AXP: 2573\nSTC to MAN: 6772\nSTC to BHB: 2338\nSTC to ESB: 9777\nSTC to XSC: 3394\nSTC to MPN: 12224\nSTC to FTU: 16685\nSTC to AXP: 3204\nXSC to MAN: 7414\nXSC to BHB: 2688\nXSC to ESB: 10094\nXSC to MPN: 9422\nXSC to FTU: 16103\nXSC to AXP: 1181\nESB to MAN: 3020\nESB to BHB: 8396\nESB to MPN: 15459\nESB to FTU: 7533\nESB to AXP: 10284\nFTU to MAN: 10031\nFTU to BHB: 15292\nFTU to MPN: 14798\nFTU to AXP: 17122\nAXP to MAN: 7540\nAXP to BHB: 2788\nAXP to MPN: 10083\nMAN to BHB: 5382\nMAN to MPN: 14151\nBHB to MPN: 11785\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 48163, "style": "rule" }	{ "exact_answer": 48163, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TNO\", \"id\": 0}, {\"name\": \"STC\", \"id\": 1}, {\"name\": \"XSC\", \"id\": 2}, {\"name\": \"ESB\", \"id\": 3}, {\"name\": \"FTU\", \"id\": 4}, {\"name\": \"AXP\", \"id\": 5}, {\"name\": \"MAN\", \"id\": 6}, {\"name\": \"BHB\", \"id\": 7}, {\"name\": \"MPN\", \"id\": 8}], \"links\": [{\"weight\": 8915, \"source\": 0, \"target\": 6}, {\"weight\": 4163, \"source\": 0, \"target\": 7}, {\"weight\": 11756, \"source\": 0, \"target\": 3}, {\"weight\": 4215, \"source\": 0, \"target\": 1}, {\"weight\": 2462, \"source\": 0, \"target\": 2}, {\"weight\": 8245, \"source\": 0, \"target\": 8}, {\"weight\": 16045, \"source\": 0, \"target\": 4}, {\"weight\": 2573, \"source\": 0, \"target\": 5}, {\"weight\": 6772, \"source\": 1, \"target\": 6}, {\"weight\": 2338, \"source\": 1, \"target\": 7}, {\"weight\": 9777, \"source\": 1, \"target\": 3}, {\"weight\": 3394, \"source\": 1, \"target\": 2}, {\"weight\": 12224, \"source\": 1, \"target\": 8}, {\"weight\": 16685, \"source\": 1, \"target\": 4}, {\"weight\": 3204, \"source\": 1, \"target\": 5}, {\"weight\": 7414, \"source\": 2, \"target\": 6}, {\"weight\": 2688, \"source\": 2, \"target\": 7}, {\"weight\": 10094, \"source\": 2, \"target\": 3}, {\"weight\": 9422, \"source\": 2, \"target\": 8}, {\"weight\": 16103, \"source\": 2, \"target\": 4}, {\"weight\": 1181, \"source\": 2, \"target\": 5}, {\"weight\": 3020, \"source\": 3, \"target\": 6}, {\"weight\": 8396, \"source\": 3, \"target\": 7}, {\"weight\": 15459, \"source\": 3, \"target\": 8}, {\"weight\": 7533, \"source\": 3, \"target\": 4}, {\"weight\": 10284, \"source\": 3, \"target\": 5}, {\"weight\": 10031, \"source\": 4, \"target\": 6}, {\"weight\": 15292, \"source\": 4, \"target\": 7}, {\"weight\": 14798, \"source\": 4, \"target\": 8}, {\"weight\": 17122, \"source\": 4, \"target\": 5}, {\"weight\": 7540, \"source\": 5, \"target\": 6}, {\"weight\": 2788, \"source\": 5, \"target\": 7}, {\"weight\": 10083, \"source\": 5, \"target\": 8}, {\"weight\": 5382, \"source\": 6, \"target\": 7}, {\"weight\": 14151, \"source\": 6, \"target\": 8}, {\"weight\": 11785, \"source\": 7, \"target\": 8}]}", "id": 1404, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TNO, STC, XSC, ESB, FTU, AXP, MAN, BHB, MPN\n- Travel distances (in kilometers) between each pair of airports:\nTNO to MAN: 8915\nTNO to BHB: 4163\nTNO to ESB: 11756\nTNO to STC: 4215\nTNO to XSC: 2462\nTNO to MPN: 8245\nTNO to FTU: 16045\nTNO to AXP: 2573\nSTC to MAN: 6772\nSTC to BHB: 2338\nSTC to ESB: 9777\nSTC to XSC: 3394\nSTC to MPN: 12224\nSTC to FTU: 16685\nSTC to AXP: 3204\nXSC to MAN: 7414\nXSC to BHB: 2688\nXSC to ESB: 10094\nXSC to MPN: 9422\nXSC to FTU: 16103\nXSC to AXP: 1181\nESB to MAN: 3020\nESB to BHB: 8396\nESB to MPN: 15459\nESB to FTU: 7533\nESB to AXP: 10284\nFTU to MAN: 10031\nFTU to BHB: 15292\nFTU to MPN: 14798\nFTU to AXP: 17122\nAXP to MAN: 7540\nAXP to BHB: 2788\nAXP to MPN: 10083\nMAN to BHB: 5382\nMAN to MPN: 14151\nBHB to MPN: 11785\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TWU, PPK, HAN, YXL, BUL, RDU, ABE, WIN, ABZ\n- Travel distances (in kilometers) between each pair of airports:\nTWU to HAN: 2971\nTWU to ABE: 15213\nTWU to ABZ: 11532\nTWU to RDU: 15412\nTWU to BUL: 5019\nTWU to PPK: 7630\nTWU to YXL: 13960\nTWU to WIN: 5633\nPPK to HAN: 5359\nPPK to ABE: 12134\nPPK to ABZ: 6889\nPPK to RDU: 12587\nPPK to BUL: 10822\nPPK to YXL: 13092\nPPK to WIN: 11871\nHAN to ABE: 13516\nHAN to ABZ: 9132\nHAN to RDU: 13763\nHAN to BUL: 5956\nHAN to YXL: 13076\nHAN to WIN: 7212\nYXL to ABE: 1825\nYXL to ABZ: 6932\nYXL to RDU: 2050\nYXL to BUL: 14857\nYXL to WIN: 15317\nBUL to ABE: 16276\nBUL to ABZ: 14724\nBUL to RDU: 16129\nBUL to WIN: 1896\nRDU to ABE: 630\nRDU to ABZ: 6278\nRDU to WIN: 16228\nABE to ABZ: 5831\nABE to WIN: 16544\nWIN to ABZ: 15773\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 45962, "style": "rule" }	{ "exact_answer": 45962, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TWU\", \"id\": 0}, {\"name\": \"PPK\", \"id\": 1}, {\"name\": \"HAN\", \"id\": 2}, {\"name\": \"YXL\", \"id\": 3}, {\"name\": \"BUL\", \"id\": 4}, {\"name\": \"RDU\", \"id\": 5}, {\"name\": \"ABE\", \"id\": 6}, {\"name\": \"WIN\", \"id\": 7}, {\"name\": \"ABZ\", \"id\": 8}], \"links\": [{\"weight\": 2971, \"source\": 0, \"target\": 2}, {\"weight\": 15213, \"source\": 0, \"target\": 6}, {\"weight\": 11532, \"source\": 0, \"target\": 8}, {\"weight\": 15412, \"source\": 0, \"target\": 5}, {\"weight\": 5019, \"source\": 0, \"target\": 4}, {\"weight\": 7630, \"source\": 0, \"target\": 1}, {\"weight\": 13960, \"source\": 0, \"target\": 3}, {\"weight\": 5633, \"source\": 0, \"target\": 7}, {\"weight\": 5359, \"source\": 1, \"target\": 2}, {\"weight\": 12134, \"source\": 1, \"target\": 6}, {\"weight\": 6889, \"source\": 1, \"target\": 8}, {\"weight\": 12587, \"source\": 1, \"target\": 5}, {\"weight\": 10822, \"source\": 1, \"target\": 4}, {\"weight\": 13092, \"source\": 1, \"target\": 3}, {\"weight\": 11871, \"source\": 1, \"target\": 7}, {\"weight\": 13516, \"source\": 2, \"target\": 6}, {\"weight\": 9132, \"source\": 2, \"target\": 8}, {\"weight\": 13763, \"source\": 2, \"target\": 5}, {\"weight\": 5956, \"source\": 2, \"target\": 4}, {\"weight\": 13076, \"source\": 2, \"target\": 3}, {\"weight\": 7212, \"source\": 2, \"target\": 7}, {\"weight\": 1825, \"source\": 3, \"target\": 6}, {\"weight\": 6932, \"source\": 3, \"target\": 8}, {\"weight\": 2050, \"source\": 3, \"target\": 5}, {\"weight\": 14857, \"source\": 3, \"target\": 4}, {\"weight\": 15317, \"source\": 3, \"target\": 7}, {\"weight\": 16276, \"source\": 4, \"target\": 6}, {\"weight\": 14724, \"source\": 4, \"target\": 8}, {\"weight\": 16129, \"source\": 4, \"target\": 5}, {\"weight\": 1896, \"source\": 4, \"target\": 7}, {\"weight\": 630, \"source\": 5, \"target\": 6}, {\"weight\": 6278, \"source\": 5, \"target\": 8}, {\"weight\": 16228, \"source\": 5, \"target\": 7}, {\"weight\": 5831, \"source\": 6, \"target\": 8}, {\"weight\": 16544, \"source\": 6, \"target\": 7}, {\"weight\": 15773, \"source\": 7, \"target\": 8}]}", "id": 1405, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TWU, PPK, HAN, YXL, BUL, RDU, ABE, WIN, ABZ\n- Travel distances (in kilometers) between each pair of airports:\nTWU to HAN: 2971\nTWU to ABE: 15213\nTWU to ABZ: 11532\nTWU to RDU: 15412\nTWU to BUL: 5019\nTWU to PPK: 7630\nTWU to YXL: 13960\nTWU to WIN: 5633\nPPK to HAN: 5359\nPPK to ABE: 12134\nPPK to ABZ: 6889\nPPK to RDU: 12587\nPPK to BUL: 10822\nPPK to YXL: 13092\nPPK to WIN: 11871\nHAN to ABE: 13516\nHAN to ABZ: 9132\nHAN to RDU: 13763\nHAN to BUL: 5956\nHAN to YXL: 13076\nHAN to WIN: 7212\nYXL to ABE: 1825\nYXL to ABZ: 6932\nYXL to RDU: 2050\nYXL to BUL: 14857\nYXL to WIN: 15317\nBUL to ABE: 16276\nBUL to ABZ: 14724\nBUL to RDU: 16129\nBUL to WIN: 1896\nRDU to ABE: 630\nRDU to ABZ: 6278\nRDU to WIN: 16228\nABE to ABZ: 5831\nABE to WIN: 16544\nWIN to ABZ: 15773\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: YHM, KHI, SMR, KFS, BRD, MOQ, VCT, GTE, REX\n- Travel distances (in kilometers) between each pair of airports:\nYHM to REX: 5969\nYHM to SMR: 6637\nYHM to KHI: 12246\nYHM to GTE: 17505\nYHM to BRD: 3660\nYHM to VCT: 4669\nYHM to MOQ: 15372\nYHM to KFS: 8829\nKHI to REX: 15547\nKHI to SMR: 15266\nKHI to GTE: 8709\nKHI to BRD: 12869\nKHI to VCT: 13927\nKHI to MOQ: 6858\nKHI to KFS: 4437\nSMR to REX: 3944\nSMR to GTE: 19281\nSMR to BRD: 5409\nSMR to VCT: 4162\nSMR to MOQ: 14992\nSMR to KFS: 11721\nKFS to REX: 12143\nKFS to GTE: 13115\nKFS to BRD: 9486\nKFS to VCT: 10865\nKFS to MOQ: 7818\nBRD to REX: 3799\nBRD to GTE: 16568\nBRD to VCT: 2046\nBRD to MOQ: 16074\nMOQ to REX: 17747\nMOQ to GTE: 10620\nMOQ to VCT: 16909\nVCT to REX: 2163\nVCT to GTE: 16360\nGTE to REX: 16876\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 59400, "style": "rule" }	{ "exact_answer": 59400, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YHM\", \"id\": 0}, {\"name\": \"KHI\", \"id\": 1}, {\"name\": \"SMR\", \"id\": 2}, {\"name\": \"KFS\", \"id\": 3}, {\"name\": \"BRD\", \"id\": 4}, {\"name\": \"MOQ\", \"id\": 5}, {\"name\": \"VCT\", \"id\": 6}, {\"name\": \"GTE\", \"id\": 7}, {\"name\": \"REX\", \"id\": 8}], \"links\": [{\"weight\": 5969, \"source\": 0, \"target\": 8}, {\"weight\": 6637, \"source\": 0, \"target\": 2}, {\"weight\": 12246, \"source\": 0, \"target\": 1}, {\"weight\": 17505, \"source\": 0, \"target\": 7}, {\"weight\": 3660, \"source\": 0, \"target\": 4}, {\"weight\": 4669, \"source\": 0, \"target\": 6}, {\"weight\": 15372, \"source\": 0, \"target\": 5}, {\"weight\": 8829, \"source\": 0, \"target\": 3}, {\"weight\": 15547, \"source\": 1, \"target\": 8}, {\"weight\": 15266, \"source\": 1, \"target\": 2}, {\"weight\": 8709, \"source\": 1, \"target\": 7}, {\"weight\": 12869, \"source\": 1, \"target\": 4}, {\"weight\": 13927, \"source\": 1, \"target\": 6}, {\"weight\": 6858, \"source\": 1, \"target\": 5}, {\"weight\": 4437, \"source\": 1, \"target\": 3}, {\"weight\": 3944, \"source\": 2, \"target\": 8}, {\"weight\": 19281, \"source\": 2, \"target\": 7}, {\"weight\": 5409, \"source\": 2, \"target\": 4}, {\"weight\": 4162, \"source\": 2, \"target\": 6}, {\"weight\": 14992, \"source\": 2, \"target\": 5}, {\"weight\": 11721, \"source\": 2, \"target\": 3}, {\"weight\": 12143, \"source\": 3, \"target\": 8}, {\"weight\": 13115, \"source\": 3, \"target\": 7}, {\"weight\": 9486, \"source\": 3, \"target\": 4}, {\"weight\": 10865, \"source\": 3, \"target\": 6}, {\"weight\": 7818, \"source\": 3, \"target\": 5}, {\"weight\": 3799, \"source\": 4, \"target\": 8}, {\"weight\": 16568, \"source\": 4, \"target\": 7}, {\"weight\": 2046, \"source\": 4, \"target\": 6}, {\"weight\": 16074, \"source\": 4, \"target\": 5}, {\"weight\": 17747, \"source\": 5, \"target\": 8}, {\"weight\": 10620, \"source\": 5, \"target\": 7}, {\"weight\": 16909, \"source\": 5, \"target\": 6}, {\"weight\": 2163, \"source\": 6, \"target\": 8}, {\"weight\": 16360, \"source\": 6, \"target\": 7}, {\"weight\": 16876, \"source\": 7, \"target\": 8}]}", "id": 1406, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: YHM, KHI, SMR, KFS, BRD, MOQ, VCT, GTE, REX\n- Travel distances (in kilometers) between each pair of airports:\nYHM to REX: 5969\nYHM to SMR: 6637\nYHM to KHI: 12246\nYHM to GTE: 17505\nYHM to BRD: 3660\nYHM to VCT: 4669\nYHM to MOQ: 15372\nYHM to KFS: 8829\nKHI to REX: 15547\nKHI to SMR: 15266\nKHI to GTE: 8709\nKHI to BRD: 12869\nKHI to VCT: 13927\nKHI to MOQ: 6858\nKHI to KFS: 4437\nSMR to REX: 3944\nSMR to GTE: 19281\nSMR to BRD: 5409\nSMR to VCT: 4162\nSMR to MOQ: 14992\nSMR to KFS: 11721\nKFS to REX: 12143\nKFS to GTE: 13115\nKFS to BRD: 9486\nKFS to VCT: 10865\nKFS to MOQ: 7818\nBRD to REX: 3799\nBRD to GTE: 16568\nBRD to VCT: 2046\nBRD to MOQ: 16074\nMOQ to REX: 17747\nMOQ to GTE: 10620\nMOQ to VCT: 16909\nVCT to REX: 2163\nVCT to GTE: 16360\nGTE to REX: 16876\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BLQ, KOK, ZGU, KKB, TBN, BSK, KRL, BGA, GNV\n- Travel distances (in kilometers) between each pair of airports:\nBLQ to KOK: 2291\nBLQ to KKB: 11609\nBLQ to GNV: 8153\nBLQ to TBN: 8087\nBLQ to BSK: 1526\nBLQ to BGA: 9577\nBLQ to KRL: 6225\nBLQ to ZGU: 17451\nKOK to KKB: 11285\nKOK to GNV: 8331\nKOK to TBN: 8012\nKOK to BSK: 3534\nKOK to BGA: 10702\nKOK to KRL: 5259\nKOK to ZGU: 16141\nZGU to KKB: 11419\nZGU to GNV: 13883\nZGU to TBN: 13021\nZGU to BSK: 18724\nZGU to BGA: 15835\nZGU to KRL: 11536\nKKB to GNV: 6439\nKKB to TBN: 5408\nKKB to BSK: 12418\nKKB to BGA: 9275\nKKB to KRL: 14020\nTBN to GNV: 1452\nTBN to BSK: 8332\nTBN to BGA: 4423\nTBN to KRL: 12675\nBSK to GNV: 8289\nBSK to BGA: 9233\nBSK to KRL: 7549\nKRL to GNV: 12950\nKRL to BGA: 15192\nBGA to GNV: 2987\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 51111, "style": "rule" }	{ "exact_answer": 51111, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BLQ\", \"id\": 0}, {\"name\": \"KOK\", \"id\": 1}, {\"name\": \"ZGU\", \"id\": 2}, {\"name\": \"KKB\", \"id\": 3}, {\"name\": \"TBN\", \"id\": 4}, {\"name\": \"BSK\", \"id\": 5}, {\"name\": \"KRL\", \"id\": 6}, {\"name\": \"BGA\", \"id\": 7}, {\"name\": \"GNV\", \"id\": 8}], \"links\": [{\"weight\": 2291, \"source\": 0, \"target\": 1}, {\"weight\": 11609, \"source\": 0, \"target\": 3}, {\"weight\": 8153, \"source\": 0, \"target\": 8}, {\"weight\": 8087, \"source\": 0, \"target\": 4}, {\"weight\": 1526, \"source\": 0, \"target\": 5}, {\"weight\": 9577, \"source\": 0, \"target\": 7}, {\"weight\": 6225, \"source\": 0, \"target\": 6}, {\"weight\": 17451, \"source\": 0, \"target\": 2}, {\"weight\": 11285, \"source\": 1, \"target\": 3}, {\"weight\": 8331, \"source\": 1, \"target\": 8}, {\"weight\": 8012, \"source\": 1, \"target\": 4}, {\"weight\": 3534, \"source\": 1, \"target\": 5}, {\"weight\": 10702, \"source\": 1, \"target\": 7}, {\"weight\": 5259, \"source\": 1, \"target\": 6}, {\"weight\": 16141, \"source\": 1, \"target\": 2}, {\"weight\": 11419, \"source\": 2, \"target\": 3}, {\"weight\": 13883, \"source\": 2, \"target\": 8}, {\"weight\": 13021, \"source\": 2, \"target\": 4}, {\"weight\": 18724, \"source\": 2, \"target\": 5}, {\"weight\": 15835, \"source\": 2, \"target\": 7}, {\"weight\": 11536, \"source\": 2, \"target\": 6}, {\"weight\": 6439, \"source\": 3, \"target\": 8}, {\"weight\": 5408, \"source\": 3, \"target\": 4}, {\"weight\": 12418, \"source\": 3, \"target\": 5}, {\"weight\": 9275, \"source\": 3, \"target\": 7}, {\"weight\": 14020, \"source\": 3, \"target\": 6}, {\"weight\": 1452, \"source\": 4, \"target\": 8}, {\"weight\": 8332, \"source\": 4, \"target\": 5}, {\"weight\": 4423, \"source\": 4, \"target\": 7}, {\"weight\": 12675, \"source\": 4, \"target\": 6}, {\"weight\": 8289, \"source\": 5, \"target\": 8}, {\"weight\": 9233, \"source\": 5, \"target\": 7}, {\"weight\": 7549, \"source\": 5, \"target\": 6}, {\"weight\": 12950, \"source\": 6, \"target\": 8}, {\"weight\": 15192, \"source\": 6, \"target\": 7}, {\"weight\": 2987, \"source\": 7, \"target\": 8}]}", "id": 1407, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BLQ, KOK, ZGU, KKB, TBN, BSK, KRL, BGA, GNV\n- Travel distances (in kilometers) between each pair of airports:\nBLQ to KOK: 2291\nBLQ to KKB: 11609\nBLQ to GNV: 8153\nBLQ to TBN: 8087\nBLQ to BSK: 1526\nBLQ to BGA: 9577\nBLQ to KRL: 6225\nBLQ to ZGU: 17451\nKOK to KKB: 11285\nKOK to GNV: 8331\nKOK to TBN: 8012\nKOK to BSK: 3534\nKOK to BGA: 10702\nKOK to KRL: 5259\nKOK to ZGU: 16141\nZGU to KKB: 11419\nZGU to GNV: 13883\nZGU to TBN: 13021\nZGU to BSK: 18724\nZGU to BGA: 15835\nZGU to KRL: 11536\nKKB to GNV: 6439\nKKB to TBN: 5408\nKKB to BSK: 12418\nKKB to BGA: 9275\nKKB to KRL: 14020\nTBN to GNV: 1452\nTBN to BSK: 8332\nTBN to BGA: 4423\nTBN to KRL: 12675\nBSK to GNV: 8289\nBSK to BGA: 9233\nBSK to KRL: 7549\nKRL to GNV: 12950\nKRL to BGA: 15192\nBGA to GNV: 2987\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: OZC, YLC, TUN, GOI, EGO, BLL, MRD, ANS, MUN\n- Travel distances (in kilometers) between each pair of airports:\nOZC to EGO: 9201\nOZC to TUN: 11588\nOZC to GOI: 5913\nOZC to YLC: 15152\nOZC to MRD: 18143\nOZC to BLL: 10797\nOZC to MUN: 18064\nOZC to ANS: 19437\nYLC to EGO: 8979\nYLC to TUN: 8147\nYLC to GOI: 13953\nYLC to MRD: 6632\nYLC to BLL: 7163\nYLC to MUN: 6551\nYLC to ANS: 9048\nTUN to EGO: 3215\nTUN to GOI: 6656\nTUN to MRD: 8720\nTUN to BLL: 2106\nTUN to MUN: 8641\nTUN to ANS: 11236\nGOI to EGO: 5331\nGOI to MRD: 15359\nGOI to BLL: 7129\nGOI to MUN: 15007\nGOI to ANS: 17834\nEGO to MRD: 10707\nEGO to BLL: 2278\nEGO to MUN: 10092\nEGO to ANS: 13262\nBLL to MRD: 8832\nBLL to MUN: 8148\nBLL to ANS: 11445\nMRD to MUN: 939\nMRD to ANS: 3710\nANS to MUN: 3631\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 53118, "style": "rule" }	{ "exact_answer": 53118, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OZC\", \"id\": 0}, {\"name\": \"YLC\", \"id\": 1}, {\"name\": \"TUN\", \"id\": 2}, {\"name\": \"GOI\", \"id\": 3}, {\"name\": \"EGO\", \"id\": 4}, {\"name\": \"BLL\", \"id\": 5}, {\"name\": \"MRD\", \"id\": 6}, {\"name\": \"ANS\", \"id\": 7}, {\"name\": \"MUN\", \"id\": 8}], \"links\": [{\"weight\": 9201, \"source\": 0, \"target\": 4}, {\"weight\": 11588, \"source\": 0, \"target\": 2}, {\"weight\": 5913, \"source\": 0, \"target\": 3}, {\"weight\": 15152, \"source\": 0, \"target\": 1}, {\"weight\": 18143, \"source\": 0, \"target\": 6}, {\"weight\": 10797, \"source\": 0, \"target\": 5}, {\"weight\": 18064, \"source\": 0, \"target\": 8}, {\"weight\": 19437, \"source\": 0, \"target\": 7}, {\"weight\": 8979, \"source\": 1, \"target\": 4}, {\"weight\": 8147, \"source\": 1, \"target\": 2}, {\"weight\": 13953, \"source\": 1, \"target\": 3}, {\"weight\": 6632, \"source\": 1, \"target\": 6}, {\"weight\": 7163, \"source\": 1, \"target\": 5}, {\"weight\": 6551, \"source\": 1, \"target\": 8}, {\"weight\": 9048, \"source\": 1, \"target\": 7}, {\"weight\": 3215, \"source\": 2, \"target\": 4}, {\"weight\": 6656, \"source\": 2, \"target\": 3}, {\"weight\": 8720, \"source\": 2, \"target\": 6}, {\"weight\": 2106, \"source\": 2, \"target\": 5}, {\"weight\": 8641, \"source\": 2, \"target\": 8}, {\"weight\": 11236, \"source\": 2, \"target\": 7}, {\"weight\": 5331, \"source\": 3, \"target\": 4}, {\"weight\": 15359, \"source\": 3, \"target\": 6}, {\"weight\": 7129, \"source\": 3, \"target\": 5}, {\"weight\": 15007, \"source\": 3, \"target\": 8}, {\"weight\": 17834, \"source\": 3, \"target\": 7}, {\"weight\": 10707, \"source\": 4, \"target\": 6}, {\"weight\": 2278, \"source\": 4, \"target\": 5}, {\"weight\": 10092, \"source\": 4, \"target\": 8}, {\"weight\": 13262, \"source\": 4, \"target\": 7}, {\"weight\": 8832, \"source\": 5, \"target\": 6}, {\"weight\": 8148, \"source\": 5, \"target\": 8}, {\"weight\": 11445, \"source\": 5, \"target\": 7}, {\"weight\": 939, \"source\": 6, \"target\": 8}, {\"weight\": 3710, \"source\": 6, \"target\": 7}, {\"weight\": 3631, \"source\": 7, \"target\": 8}]}", "id": 1408, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: OZC, YLC, TUN, GOI, EGO, BLL, MRD, ANS, MUN\n- Travel distances (in kilometers) between each pair of airports:\nOZC to EGO: 9201\nOZC to TUN: 11588\nOZC to GOI: 5913\nOZC to YLC: 15152\nOZC to MRD: 18143\nOZC to BLL: 10797\nOZC to MUN: 18064\nOZC to ANS: 19437\nYLC to EGO: 8979\nYLC to TUN: 8147\nYLC to GOI: 13953\nYLC to MRD: 6632\nYLC to BLL: 7163\nYLC to MUN: 6551\nYLC to ANS: 9048\nTUN to EGO: 3215\nTUN to GOI: 6656\nTUN to MRD: 8720\nTUN to BLL: 2106\nTUN to MUN: 8641\nTUN to ANS: 11236\nGOI to EGO: 5331\nGOI to MRD: 15359\nGOI to BLL: 7129\nGOI to MUN: 15007\nGOI to ANS: 17834\nEGO to MRD: 10707\nEGO to BLL: 2278\nEGO to MUN: 10092\nEGO to ANS: 13262\nBLL to MRD: 8832\nBLL to MUN: 8148\nBLL to ANS: 11445\nMRD to MUN: 939\nMRD to ANS: 3710\nANS to MUN: 3631\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: HSN, LBF, LPI, LWB, GPA, MYR, HKD, ULK, BRL\n- Travel distances (in kilometers) between each pair of airports:\nHSN to ULK: 6529\nHSN to BRL: 11778\nHSN to LWB: 12398\nHSN to MYR: 12631\nHSN to HKD: 2386\nHSN to GPA: 9652\nHSN to LPI: 8780\nHSN to LBF: 11316\nLBF to ULK: 15932\nLBF to BRL: 1835\nLBF to LWB: 2883\nLBF to MYR: 2764\nLBF to HKD: 10409\nLBF to GPA: 10120\nLBF to LPI: 8593\nLPI to ULK: 9579\nLPI to BRL: 7511\nLPI to LWB: 7181\nLPI to MYR: 7451\nLPI to HKD: 9072\nLPI to GPA: 2704\nLWB to ULK: 15600\nLWB to BRL: 1527\nLWB to MYR: 1051\nLWB to HKD: 12046\nLWB to GPA: 8499\nGPA to ULK: 10676\nGPA to BRL: 8937\nGPA to MYR: 8742\nGPA to HKD: 10345\nMYR to ULK: 15884\nMYR to BRL: 1410\nMYR to HKD: 12204\nHKD to ULK: 7032\nHKD to BRL: 11291\nULK to BRL: 15925\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 44181, "style": "rule" }	{ "exact_answer": 44181, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HSN\", \"id\": 0}, {\"name\": \"LBF\", \"id\": 1}, {\"name\": \"LPI\", \"id\": 2}, {\"name\": \"LWB\", \"id\": 3}, {\"name\": \"GPA\", \"id\": 4}, {\"name\": \"MYR\", \"id\": 5}, {\"name\": \"HKD\", \"id\": 6}, {\"name\": \"ULK\", \"id\": 7}, {\"name\": \"BRL\", \"id\": 8}], \"links\": [{\"weight\": 6529, \"source\": 0, \"target\": 7}, {\"weight\": 11778, \"source\": 0, \"target\": 8}, {\"weight\": 12398, \"source\": 0, \"target\": 3}, {\"weight\": 12631, \"source\": 0, \"target\": 5}, {\"weight\": 2386, \"source\": 0, \"target\": 6}, {\"weight\": 9652, \"source\": 0, \"target\": 4}, {\"weight\": 8780, \"source\": 0, \"target\": 2}, {\"weight\": 11316, \"source\": 0, \"target\": 1}, {\"weight\": 15932, \"source\": 1, \"target\": 7}, {\"weight\": 1835, \"source\": 1, \"target\": 8}, {\"weight\": 2883, \"source\": 1, \"target\": 3}, {\"weight\": 2764, \"source\": 1, \"target\": 5}, {\"weight\": 10409, \"source\": 1, \"target\": 6}, {\"weight\": 10120, \"source\": 1, \"target\": 4}, {\"weight\": 8593, \"source\": 1, \"target\": 2}, {\"weight\": 9579, \"source\": 2, \"target\": 7}, {\"weight\": 7511, \"source\": 2, \"target\": 8}, {\"weight\": 7181, \"source\": 2, \"target\": 3}, {\"weight\": 7451, \"source\": 2, \"target\": 5}, {\"weight\": 9072, \"source\": 2, \"target\": 6}, {\"weight\": 2704, \"source\": 2, \"target\": 4}, {\"weight\": 15600, \"source\": 3, \"target\": 7}, {\"weight\": 1527, \"source\": 3, \"target\": 8}, {\"weight\": 1051, \"source\": 3, \"target\": 5}, {\"weight\": 12046, \"source\": 3, \"target\": 6}, {\"weight\": 8499, \"source\": 3, \"target\": 4}, {\"weight\": 10676, \"source\": 4, \"target\": 7}, {\"weight\": 8937, \"source\": 4, \"target\": 8}, {\"weight\": 8742, \"source\": 4, \"target\": 5}, {\"weight\": 10345, \"source\": 4, \"target\": 6}, {\"weight\": 15884, \"source\": 5, \"target\": 7}, {\"weight\": 1410, \"source\": 5, \"target\": 8}, {\"weight\": 12204, \"source\": 5, \"target\": 6}, {\"weight\": 7032, \"source\": 6, \"target\": 7}, {\"weight\": 11291, \"source\": 6, \"target\": 8}, {\"weight\": 15925, \"source\": 7, \"target\": 8}]}", "id": 1409, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: HSN, LBF, LPI, LWB, GPA, MYR, HKD, ULK, BRL\n- Travel distances (in kilometers) between each pair of airports:\nHSN to ULK: 6529\nHSN to BRL: 11778\nHSN to LWB: 12398\nHSN to MYR: 12631\nHSN to HKD: 2386\nHSN to GPA: 9652\nHSN to LPI: 8780\nHSN to LBF: 11316\nLBF to ULK: 15932\nLBF to BRL: 1835\nLBF to LWB: 2883\nLBF to MYR: 2764\nLBF to HKD: 10409\nLBF to GPA: 10120\nLBF to LPI: 8593\nLPI to ULK: 9579\nLPI to BRL: 7511\nLPI to LWB: 7181\nLPI to MYR: 7451\nLPI to HKD: 9072\nLPI to GPA: 2704\nLWB to ULK: 15600\nLWB to BRL: 1527\nLWB to MYR: 1051\nLWB to HKD: 12046\nLWB to GPA: 8499\nGPA to ULK: 10676\nGPA to BRL: 8937\nGPA to MYR: 8742\nGPA to HKD: 10345\nMYR to ULK: 15884\nMYR to BRL: 1410\nMYR to HKD: 12204\nHKD to ULK: 7032\nHKD to BRL: 11291\nULK to BRL: 15925\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: ANV, DBO, NAW, ODY, HLZ, STS, GTE, PKR, DIU\n- Travel distances (in kilometers) between each pair of airports:\nANV to DIU: 16695\nANV to STS: 3896\nANV to GTE: 15097\nANV to NAW: 15781\nANV to HLZ: 12301\nANV to DBO: 13586\nANV to ODY: 14766\nANV to PKR: 14977\nDBO to DIU: 10672\nDBO to STS: 13012\nDBO to GTE: 3328\nDBO to NAW: 8673\nDBO to HLZ: 2574\nDBO to ODY: 8412\nDBO to PKR: 10181\nNAW to DIU: 4347\nNAW to STS: 13817\nNAW to GTE: 6211\nNAW to HLZ: 10682\nNAW to ODY: 2235\nNAW to PKR: 3196\nODY to DIU: 4121\nODY to STS: 12802\nODY to GTE: 6126\nODY to HLZ: 10368\nODY to PKR: 2985\nHLZ to DIU: 12705\nHLZ to STS: 11235\nHLZ to GTE: 4772\nHLZ to PKR: 12036\nSTS to DIU: 14731\nSTS to GTE: 14614\nSTS to PKR: 13013\nGTE to DIU: 8160\nGTE to PKR: 7651\nPKR to DIU: 2010\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 49689, "style": "rule" }	{ "exact_answer": 49689, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ANV\", \"id\": 0}, {\"name\": \"DBO\", \"id\": 1}, {\"name\": \"NAW\", \"id\": 2}, {\"name\": \"ODY\", \"id\": 3}, {\"name\": \"HLZ\", \"id\": 4}, {\"name\": \"STS\", \"id\": 5}, {\"name\": \"GTE\", \"id\": 6}, {\"name\": \"PKR\", \"id\": 7}, {\"name\": \"DIU\", \"id\": 8}], \"links\": [{\"weight\": 16695, \"source\": 0, \"target\": 8}, {\"weight\": 3896, \"source\": 0, \"target\": 5}, {\"weight\": 15097, \"source\": 0, \"target\": 6}, {\"weight\": 15781, \"source\": 0, \"target\": 2}, {\"weight\": 12301, \"source\": 0, \"target\": 4}, {\"weight\": 13586, \"source\": 0, \"target\": 1}, {\"weight\": 14766, \"source\": 0, \"target\": 3}, {\"weight\": 14977, \"source\": 0, \"target\": 7}, {\"weight\": 10672, \"source\": 1, \"target\": 8}, {\"weight\": 13012, \"source\": 1, \"target\": 5}, {\"weight\": 3328, \"source\": 1, \"target\": 6}, {\"weight\": 8673, \"source\": 1, \"target\": 2}, {\"weight\": 2574, \"source\": 1, \"target\": 4}, {\"weight\": 8412, \"source\": 1, \"target\": 3}, {\"weight\": 10181, \"source\": 1, \"target\": 7}, {\"weight\": 4347, \"source\": 2, \"target\": 8}, {\"weight\": 13817, \"source\": 2, \"target\": 5}, {\"weight\": 6211, \"source\": 2, \"target\": 6}, {\"weight\": 10682, \"source\": 2, \"target\": 4}, {\"weight\": 2235, \"source\": 2, \"target\": 3}, {\"weight\": 3196, \"source\": 2, \"target\": 7}, {\"weight\": 4121, \"source\": 3, \"target\": 8}, {\"weight\": 12802, \"source\": 3, \"target\": 5}, {\"weight\": 6126, \"source\": 3, \"target\": 6}, {\"weight\": 10368, \"source\": 3, \"target\": 4}, {\"weight\": 2985, \"source\": 3, \"target\": 7}, {\"weight\": 12705, \"source\": 4, \"target\": 8}, {\"weight\": 11235, \"source\": 4, \"target\": 5}, {\"weight\": 4772, \"source\": 4, \"target\": 6}, {\"weight\": 12036, \"source\": 4, \"target\": 7}, {\"weight\": 14731, \"source\": 5, \"target\": 8}, {\"weight\": 14614, \"source\": 5, \"target\": 6}, {\"weight\": 13013, \"source\": 5, \"target\": 7}, {\"weight\": 8160, \"source\": 6, \"target\": 8}, {\"weight\": 7651, \"source\": 6, \"target\": 7}, {\"weight\": 2010, \"source\": 7, \"target\": 8}]}", "id": 1410, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: ANV, DBO, NAW, ODY, HLZ, STS, GTE, PKR, DIU\n- Travel distances (in kilometers) between each pair of airports:\nANV to DIU: 16695\nANV to STS: 3896\nANV to GTE: 15097\nANV to NAW: 15781\nANV to HLZ: 12301\nANV to DBO: 13586\nANV to ODY: 14766\nANV to PKR: 14977\nDBO to DIU: 10672\nDBO to STS: 13012\nDBO to GTE: 3328\nDBO to NAW: 8673\nDBO to HLZ: 2574\nDBO to ODY: 8412\nDBO to PKR: 10181\nNAW to DIU: 4347\nNAW to STS: 13817\nNAW to GTE: 6211\nNAW to HLZ: 10682\nNAW to ODY: 2235\nNAW to PKR: 3196\nODY to DIU: 4121\nODY to STS: 12802\nODY to GTE: 6126\nODY to HLZ: 10368\nODY to PKR: 2985\nHLZ to DIU: 12705\nHLZ to STS: 11235\nHLZ to GTE: 4772\nHLZ to PKR: 12036\nSTS to DIU: 14731\nSTS to GTE: 14614\nSTS to PKR: 13013\nGTE to DIU: 8160\nGTE to PKR: 7651\nPKR to DIU: 2010\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KRO, ACI, ANM, UIO, KOW, BGI, CIT, BIO, HUU\n- Travel distances (in kilometers) between each pair of airports:\nKRO to HUU: 14607\nKRO to UIO: 13205\nKRO to KOW: 6237\nKRO to BIO: 4919\nKRO to BGI: 10907\nKRO to CIT: 2954\nKRO to ACI: 4490\nKRO to ANM: 9351\nACI to HUU: 10913\nACI to UIO: 9580\nACI to KOW: 9737\nACI to BIO: 1184\nACI to BGI: 7055\nACI to CIT: 5474\nACI to ANM: 9385\nANM to HUU: 13822\nANM to UIO: 14411\nANM to KOW: 9402\nANM to BIO: 9167\nANM to BGI: 14392\nANM to CIT: 8061\nUIO to HUU: 1584\nUIO to KOW: 16847\nUIO to BIO: 8972\nUIO to BGI: 2620\nUIO to CIT: 14367\nKOW to HUU: 18299\nKOW to BIO: 10156\nKOW to BGI: 15935\nKOW to CIT: 4733\nBGI to HUU: 3880\nBGI to BIO: 7811\nBGI to CIT: 11964\nCIT to HUU: 15649\nCIT to BIO: 5788\nBIO to HUU: 10100\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 48273, "style": "rule" }	{ "exact_answer": 48273, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRO\", \"id\": 0}, {\"name\": \"ACI\", \"id\": 1}, {\"name\": \"ANM\", \"id\": 2}, {\"name\": \"UIO\", \"id\": 3}, {\"name\": \"KOW\", \"id\": 4}, {\"name\": \"BGI\", \"id\": 5}, {\"name\": \"CIT\", \"id\": 6}, {\"name\": \"BIO\", \"id\": 7}, {\"name\": \"HUU\", \"id\": 8}], \"links\": [{\"weight\": 14607, \"source\": 0, \"target\": 8}, {\"weight\": 13205, \"source\": 0, \"target\": 3}, {\"weight\": 6237, \"source\": 0, \"target\": 4}, {\"weight\": 4919, \"source\": 0, \"target\": 7}, {\"weight\": 10907, \"source\": 0, \"target\": 5}, {\"weight\": 2954, \"source\": 0, \"target\": 6}, {\"weight\": 4490, \"source\": 0, \"target\": 1}, {\"weight\": 9351, \"source\": 0, \"target\": 2}, {\"weight\": 10913, \"source\": 1, \"target\": 8}, {\"weight\": 9580, \"source\": 1, \"target\": 3}, {\"weight\": 9737, \"source\": 1, \"target\": 4}, {\"weight\": 1184, \"source\": 1, \"target\": 7}, {\"weight\": 7055, \"source\": 1, \"target\": 5}, {\"weight\": 5474, \"source\": 1, \"target\": 6}, {\"weight\": 9385, \"source\": 1, \"target\": 2}, {\"weight\": 13822, \"source\": 2, \"target\": 8}, {\"weight\": 14411, \"source\": 2, \"target\": 3}, {\"weight\": 9402, \"source\": 2, \"target\": 4}, {\"weight\": 9167, \"source\": 2, \"target\": 7}, {\"weight\": 14392, \"source\": 2, \"target\": 5}, {\"weight\": 8061, \"source\": 2, \"target\": 6}, {\"weight\": 1584, \"source\": 3, \"target\": 8}, {\"weight\": 16847, \"source\": 3, \"target\": 4}, {\"weight\": 8972, \"source\": 3, \"target\": 7}, {\"weight\": 2620, \"source\": 3, \"target\": 5}, {\"weight\": 14367, \"source\": 3, \"target\": 6}, {\"weight\": 18299, \"source\": 4, \"target\": 8}, {\"weight\": 10156, \"source\": 4, \"target\": 7}, {\"weight\": 15935, \"source\": 4, \"target\": 5}, {\"weight\": 4733, \"source\": 4, \"target\": 6}, {\"weight\": 3880, \"source\": 5, \"target\": 8}, {\"weight\": 7811, \"source\": 5, \"target\": 7}, {\"weight\": 11964, \"source\": 5, \"target\": 6}, {\"weight\": 15649, \"source\": 6, \"target\": 8}, {\"weight\": 5788, \"source\": 6, \"target\": 7}, {\"weight\": 10100, \"source\": 7, \"target\": 8}]}", "id": 1411, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KRO, ACI, ANM, UIO, KOW, BGI, CIT, BIO, HUU\n- Travel distances (in kilometers) between each pair of airports:\nKRO to HUU: 14607\nKRO to UIO: 13205\nKRO to KOW: 6237\nKRO to BIO: 4919\nKRO to BGI: 10907\nKRO to CIT: 2954\nKRO to ACI: 4490\nKRO to ANM: 9351\nACI to HUU: 10913\nACI to UIO: 9580\nACI to KOW: 9737\nACI to BIO: 1184\nACI to BGI: 7055\nACI to CIT: 5474\nACI to ANM: 9385\nANM to HUU: 13822\nANM to UIO: 14411\nANM to KOW: 9402\nANM to BIO: 9167\nANM to BGI: 14392\nANM to CIT: 8061\nUIO to HUU: 1584\nUIO to KOW: 16847\nUIO to BIO: 8972\nUIO to BGI: 2620\nUIO to CIT: 14367\nKOW to HUU: 18299\nKOW to BIO: 10156\nKOW to BGI: 15935\nKOW to CIT: 4733\nBGI to HUU: 3880\nBGI to BIO: 7811\nBGI to CIT: 11964\nCIT to HUU: 15649\nCIT to BIO: 5788\nBIO to HUU: 10100\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BAV, NBO, MDU, TGD, MAN, BON, TBZ, VCT, LBS\n- Travel distances (in kilometers) between each pair of airports:\nBAV to NBO: 9051\nBAV to BON: 14756\nBAV to MAN: 8145\nBAV to TGD: 7399\nBAV to TBZ: 5382\nBAV to LBS: 9839\nBAV to VCT: 12314\nBAV to MDU: 7555\nNBO to BON: 13418\nNBO to MAN: 7082\nNBO to TGD: 5574\nNBO to TBZ: 4518\nNBO to LBS: 15547\nNBO to VCT: 14496\nNBO to MDU: 13323\nMDU to BON: 18451\nMDU to MAN: 15219\nMDU to TGD: 14406\nMDU to TBZ: 12376\nMDU to LBS: 4172\nMDU to VCT: 15226\nTGD to BON: 9204\nTGD to MAN: 2006\nTGD to TBZ: 2330\nTGD to LBS: 16974\nTGD to VCT: 9754\nMAN to BON: 7692\nMAN to TBZ: 4211\nMAN to LBS: 17043\nMAN to VCT: 7768\nBON to TBZ: 11463\nBON to LBS: 14773\nBON to VCT: 3619\nTBZ to LBS: 15199\nTBZ to VCT: 11975\nVCT to LBS: 11548\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 52066, "style": "rule" }	{ "exact_answer": 52066, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BAV\", \"id\": 0}, {\"name\": \"NBO\", \"id\": 1}, {\"name\": \"MDU\", \"id\": 2}, {\"name\": \"TGD\", \"id\": 3}, {\"name\": \"MAN\", \"id\": 4}, {\"name\": \"BON\", \"id\": 5}, {\"name\": \"TBZ\", \"id\": 6}, {\"name\": \"VCT\", \"id\": 7}, {\"name\": \"LBS\", \"id\": 8}], \"links\": [{\"weight\": 9051, \"source\": 0, \"target\": 1}, {\"weight\": 14756, \"source\": 0, \"target\": 5}, {\"weight\": 8145, \"source\": 0, \"target\": 4}, {\"weight\": 7399, \"source\": 0, \"target\": 3}, {\"weight\": 5382, \"source\": 0, \"target\": 6}, {\"weight\": 9839, \"source\": 0, \"target\": 8}, {\"weight\": 12314, \"source\": 0, \"target\": 7}, {\"weight\": 7555, \"source\": 0, \"target\": 2}, {\"weight\": 13418, \"source\": 1, \"target\": 5}, {\"weight\": 7082, \"source\": 1, \"target\": 4}, {\"weight\": 5574, \"source\": 1, \"target\": 3}, {\"weight\": 4518, \"source\": 1, \"target\": 6}, {\"weight\": 15547, \"source\": 1, \"target\": 8}, {\"weight\": 14496, \"source\": 1, \"target\": 7}, {\"weight\": 13323, \"source\": 1, \"target\": 2}, {\"weight\": 18451, \"source\": 2, \"target\": 5}, {\"weight\": 15219, \"source\": 2, \"target\": 4}, {\"weight\": 14406, \"source\": 2, \"target\": 3}, {\"weight\": 12376, \"source\": 2, \"target\": 6}, {\"weight\": 4172, \"source\": 2, \"target\": 8}, {\"weight\": 15226, \"source\": 2, \"target\": 7}, {\"weight\": 9204, \"source\": 3, \"target\": 5}, {\"weight\": 2006, \"source\": 3, \"target\": 4}, {\"weight\": 2330, \"source\": 3, \"target\": 6}, {\"weight\": 16974, \"source\": 3, \"target\": 8}, {\"weight\": 9754, \"source\": 3, \"target\": 7}, {\"weight\": 7692, \"source\": 4, \"target\": 5}, {\"weight\": 4211, \"source\": 4, \"target\": 6}, {\"weight\": 17043, \"source\": 4, \"target\": 8}, {\"weight\": 7768, \"source\": 4, \"target\": 7}, {\"weight\": 11463, \"source\": 5, \"target\": 6}, {\"weight\": 14773, \"source\": 5, \"target\": 8}, {\"weight\": 3619, \"source\": 5, \"target\": 7}, {\"weight\": 15199, \"source\": 6, \"target\": 8}, {\"weight\": 11975, \"source\": 6, \"target\": 7}, {\"weight\": 11548, \"source\": 7, \"target\": 8}]}", "id": 1412, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BAV, NBO, MDU, TGD, MAN, BON, TBZ, VCT, LBS\n- Travel distances (in kilometers) between each pair of airports:\nBAV to NBO: 9051\nBAV to BON: 14756\nBAV to MAN: 8145\nBAV to TGD: 7399\nBAV to TBZ: 5382\nBAV to LBS: 9839\nBAV to VCT: 12314\nBAV to MDU: 7555\nNBO to BON: 13418\nNBO to MAN: 7082\nNBO to TGD: 5574\nNBO to TBZ: 4518\nNBO to LBS: 15547\nNBO to VCT: 14496\nNBO to MDU: 13323\nMDU to BON: 18451\nMDU to MAN: 15219\nMDU to TGD: 14406\nMDU to TBZ: 12376\nMDU to LBS: 4172\nMDU to VCT: 15226\nTGD to BON: 9204\nTGD to MAN: 2006\nTGD to TBZ: 2330\nTGD to LBS: 16974\nTGD to VCT: 9754\nMAN to BON: 7692\nMAN to TBZ: 4211\nMAN to LBS: 17043\nMAN to VCT: 7768\nBON to TBZ: 11463\nBON to LBS: 14773\nBON to VCT: 3619\nTBZ to LBS: 15199\nTBZ to VCT: 11975\nVCT to LBS: 11548\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: YNJ, IOT, MEI, GIU, JUK, PCR, CMH, BJX, LEB\n- Travel distances (in kilometers) between each pair of airports:\nYNJ to MEI: 12570\nYNJ to LEB: 12161\nYNJ to PCR: 16283\nYNJ to BJX: 12470\nYNJ to CMH: 11558\nYNJ to IOT: 12108\nYNJ to JUK: 12069\nYNJ to GIU: 6348\nIOT to MEI: 8022\nIOT to LEB: 6291\nIOT to PCR: 11134\nIOT to BJX: 9645\nIOT to CMH: 6902\nIOT to JUK: 123\nIOT to GIU: 12032\nMEI to LEB: 1990\nMEI to PCR: 4569\nMEI to BJX: 2616\nMEI to CMH: 1148\nMEI to JUK: 7983\nMEI to GIU: 15746\nGIU to LEB: 14015\nGIU to PCR: 17776\nGIU to BJX: 17154\nGIU to CMH: 14624\nGIU to JUK: 11993\nJUK to LEB: 6252\nJUK to PCR: 11095\nJUK to BJX: 9606\nJUK to CMH: 6863\nPCR to LEB: 5193\nPCR to BJX: 4217\nPCR to CMH: 4782\nCMH to LEB: 1144\nCMH to BJX: 2759\nBJX to LEB: 3750\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 48303, "style": "rule" }	{ "exact_answer": 48303, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YNJ\", \"id\": 0}, {\"name\": \"IOT\", \"id\": 1}, {\"name\": \"MEI\", \"id\": 2}, {\"name\": \"GIU\", \"id\": 3}, {\"name\": \"JUK\", \"id\": 4}, {\"name\": \"PCR\", \"id\": 5}, {\"name\": \"CMH\", \"id\": 6}, {\"name\": \"BJX\", \"id\": 7}, {\"name\": \"LEB\", \"id\": 8}], \"links\": [{\"weight\": 12570, \"source\": 0, \"target\": 2}, {\"weight\": 12161, \"source\": 0, \"target\": 8}, {\"weight\": 16283, \"source\": 0, \"target\": 5}, {\"weight\": 12470, \"source\": 0, \"target\": 7}, {\"weight\": 11558, \"source\": 0, \"target\": 6}, {\"weight\": 12108, \"source\": 0, \"target\": 1}, {\"weight\": 12069, \"source\": 0, \"target\": 4}, {\"weight\": 6348, \"source\": 0, \"target\": 3}, {\"weight\": 8022, \"source\": 1, \"target\": 2}, {\"weight\": 6291, \"source\": 1, \"target\": 8}, {\"weight\": 11134, \"source\": 1, \"target\": 5}, {\"weight\": 9645, \"source\": 1, \"target\": 7}, {\"weight\": 6902, \"source\": 1, \"target\": 6}, {\"weight\": 123, \"source\": 1, \"target\": 4}, {\"weight\": 12032, \"source\": 1, \"target\": 3}, {\"weight\": 1990, \"source\": 2, \"target\": 8}, {\"weight\": 4569, \"source\": 2, \"target\": 5}, {\"weight\": 2616, \"source\": 2, \"target\": 7}, {\"weight\": 1148, \"source\": 2, \"target\": 6}, {\"weight\": 7983, \"source\": 2, \"target\": 4}, {\"weight\": 15746, \"source\": 2, \"target\": 3}, {\"weight\": 14015, \"source\": 3, \"target\": 8}, {\"weight\": 17776, \"source\": 3, \"target\": 5}, {\"weight\": 17154, \"source\": 3, \"target\": 7}, {\"weight\": 14624, \"source\": 3, \"target\": 6}, {\"weight\": 11993, \"source\": 3, \"target\": 4}, {\"weight\": 6252, \"source\": 4, \"target\": 8}, {\"weight\": 11095, \"source\": 4, \"target\": 5}, {\"weight\": 9606, \"source\": 4, \"target\": 7}, {\"weight\": 6863, \"source\": 4, \"target\": 6}, {\"weight\": 5193, \"source\": 5, \"target\": 8}, {\"weight\": 4217, \"source\": 5, \"target\": 7}, {\"weight\": 4782, \"source\": 5, \"target\": 6}, {\"weight\": 1144, \"source\": 6, \"target\": 8}, {\"weight\": 2759, \"source\": 6, \"target\": 7}, {\"weight\": 3750, \"source\": 7, \"target\": 8}]}", "id": 1413, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: YNJ, IOT, MEI, GIU, JUK, PCR, CMH, BJX, LEB\n- Travel distances (in kilometers) between each pair of airports:\nYNJ to MEI: 12570\nYNJ to LEB: 12161\nYNJ to PCR: 16283\nYNJ to BJX: 12470\nYNJ to CMH: 11558\nYNJ to IOT: 12108\nYNJ to JUK: 12069\nYNJ to GIU: 6348\nIOT to MEI: 8022\nIOT to LEB: 6291\nIOT to PCR: 11134\nIOT to BJX: 9645\nIOT to CMH: 6902\nIOT to JUK: 123\nIOT to GIU: 12032\nMEI to LEB: 1990\nMEI to PCR: 4569\nMEI to BJX: 2616\nMEI to CMH: 1148\nMEI to JUK: 7983\nMEI to GIU: 15746\nGIU to LEB: 14015\nGIU to PCR: 17776\nGIU to BJX: 17154\nGIU to CMH: 14624\nGIU to JUK: 11993\nJUK to LEB: 6252\nJUK to PCR: 11095\nJUK to BJX: 9606\nJUK to CMH: 6863\nPCR to LEB: 5193\nPCR to BJX: 4217\nPCR to CMH: 4782\nCMH to LEB: 1144\nCMH to BJX: 2759\nBJX to LEB: 3750\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: UKB, EGN, LDH, LSA, LAO, ABS, RVE, INB, JHB\n- Travel distances (in kilometers) between each pair of airports:\nUKB to LAO: 3299\nUKB to RVE: 15091\nUKB to JHB: 5211\nUKB to LSA: 6497\nUKB to EGN: 11251\nUKB to ABS: 10102\nUKB to INB: 12828\nUKB to LDH: 8723\nEGN to LAO: 11008\nEGN to RVE: 14404\nEGN to JHB: 9296\nEGN to LSA: 14847\nEGN to ABS: 2991\nEGN to INB: 14533\nEGN to LDH: 16094\nLDH to LAO: 7167\nLDH to RVE: 16729\nLDH to JHB: 6952\nLDH to LSA: 3397\nLDH to ABS: 15084\nLDH to INB: 15893\nLSA to LAO: 4910\nLSA to RVE: 18805\nLSA to JHB: 5815\nLSA to ABS: 13776\nLSA to INB: 16472\nLAO to RVE: 18070\nLAO to JHB: 2960\nLAO to ABS: 9917\nLAO to INB: 15773\nABS to RVE: 12589\nABS to JHB: 8227\nABS to INB: 12718\nRVE to JHB: 19665\nRVE to INB: 2632\nINB to JHB: 17886\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 58894, "style": "rule" }	{ "exact_answer": 58894, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKB\", \"id\": 0}, {\"name\": \"EGN\", \"id\": 1}, {\"name\": \"LDH\", \"id\": 2}, {\"name\": \"LSA\", \"id\": 3}, {\"name\": \"LAO\", \"id\": 4}, {\"name\": \"ABS\", \"id\": 5}, {\"name\": \"RVE\", \"id\": 6}, {\"name\": \"INB\", \"id\": 7}, {\"name\": \"JHB\", \"id\": 8}], \"links\": [{\"weight\": 3299, \"source\": 0, \"target\": 4}, {\"weight\": 15091, \"source\": 0, \"target\": 6}, {\"weight\": 5211, \"source\": 0, \"target\": 8}, {\"weight\": 6497, \"source\": 0, \"target\": 3}, {\"weight\": 11251, \"source\": 0, \"target\": 1}, {\"weight\": 10102, \"source\": 0, \"target\": 5}, {\"weight\": 12828, \"source\": 0, \"target\": 7}, {\"weight\": 8723, \"source\": 0, \"target\": 2}, {\"weight\": 11008, \"source\": 1, \"target\": 4}, {\"weight\": 14404, \"source\": 1, \"target\": 6}, {\"weight\": 9296, \"source\": 1, \"target\": 8}, {\"weight\": 14847, \"source\": 1, \"target\": 3}, {\"weight\": 2991, \"source\": 1, \"target\": 5}, {\"weight\": 14533, \"source\": 1, \"target\": 7}, {\"weight\": 16094, \"source\": 1, \"target\": 2}, {\"weight\": 7167, \"source\": 2, \"target\": 4}, {\"weight\": 16729, \"source\": 2, \"target\": 6}, {\"weight\": 6952, \"source\": 2, \"target\": 8}, {\"weight\": 3397, \"source\": 2, \"target\": 3}, {\"weight\": 15084, \"source\": 2, \"target\": 5}, {\"weight\": 15893, \"source\": 2, \"target\": 7}, {\"weight\": 4910, \"source\": 3, \"target\": 4}, {\"weight\": 18805, \"source\": 3, \"target\": 6}, {\"weight\": 5815, \"source\": 3, \"target\": 8}, {\"weight\": 13776, \"source\": 3, \"target\": 5}, {\"weight\": 16472, \"source\": 3, \"target\": 7}, {\"weight\": 18070, \"source\": 4, \"target\": 6}, {\"weight\": 2960, \"source\": 4, \"target\": 8}, {\"weight\": 9917, \"source\": 4, \"target\": 5}, {\"weight\": 15773, \"source\": 4, \"target\": 7}, {\"weight\": 12589, \"source\": 5, \"target\": 6}, {\"weight\": 8227, \"source\": 5, \"target\": 8}, {\"weight\": 12718, \"source\": 5, \"target\": 7}, {\"weight\": 19665, \"source\": 6, \"target\": 8}, {\"weight\": 2632, \"source\": 6, \"target\": 7}, {\"weight\": 17886, \"source\": 7, \"target\": 8}]}", "id": 1414, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: UKB, EGN, LDH, LSA, LAO, ABS, RVE, INB, JHB\n- Travel distances (in kilometers) between each pair of airports:\nUKB to LAO: 3299\nUKB to RVE: 15091\nUKB to JHB: 5211\nUKB to LSA: 6497\nUKB to EGN: 11251\nUKB to ABS: 10102\nUKB to INB: 12828\nUKB to LDH: 8723\nEGN to LAO: 11008\nEGN to RVE: 14404\nEGN to JHB: 9296\nEGN to LSA: 14847\nEGN to ABS: 2991\nEGN to INB: 14533\nEGN to LDH: 16094\nLDH to LAO: 7167\nLDH to RVE: 16729\nLDH to JHB: 6952\nLDH to LSA: 3397\nLDH to ABS: 15084\nLDH to INB: 15893\nLSA to LAO: 4910\nLSA to RVE: 18805\nLSA to JHB: 5815\nLSA to ABS: 13776\nLSA to INB: 16472\nLAO to RVE: 18070\nLAO to JHB: 2960\nLAO to ABS: 9917\nLAO to INB: 15773\nABS to RVE: 12589\nABS to JHB: 8227\nABS to INB: 12718\nRVE to JHB: 19665\nRVE to INB: 2632\nINB to JHB: 17886\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: CDG, MLG, LPS, BVV, KRY, LNY, CAL, TSR, BRN\n- Travel distances (in kilometers) between each pair of airports:\nCDG to TSR: 1456\nCDG to CAL: 988\nCDG to KRY: 6460\nCDG to MLG: 12267\nCDG to LNY: 12281\nCDG to BVV: 9531\nCDG to LPS: 8220\nCDG to BRN: 1029\nMLG to TSR: 11034\nMLG to CAL: 12806\nMLG to KRY: 7147\nMLG to LNY: 11587\nMLG to BVV: 7513\nMLG to LPS: 13722\nMLG to BRN: 11940\nLPS to TSR: 9443\nLPS to CAL: 7422\nLPS to KRY: 11560\nLPS to LNY: 4475\nLPS to BVV: 9515\nLPS to BRN: 8641\nBVV to TSR: 8971\nBVV to CAL: 9867\nBVV to KRY: 5287\nBVV to LNY: 7044\nBVV to BRN: 9363\nKRY to TSR: 5841\nKRY to CAL: 6859\nKRY to LNY: 10956\nKRY to BRN: 6292\nLNY to TSR: 13471\nLNY to CAL: 11525\nLNY to BRN: 12694\nCAL to TSR: 2248\nCAL to BRN: 1403\nTSR to BRN: 1133\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 42592, "style": "rule" }	{ "exact_answer": 42592, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CDG\", \"id\": 0}, {\"name\": \"MLG\", \"id\": 1}, {\"name\": \"LPS\", \"id\": 2}, {\"name\": \"BVV\", \"id\": 3}, {\"name\": \"KRY\", \"id\": 4}, {\"name\": \"LNY\", \"id\": 5}, {\"name\": \"CAL\", \"id\": 6}, {\"name\": \"TSR\", \"id\": 7}, {\"name\": \"BRN\", \"id\": 8}], \"links\": [{\"weight\": 1456, \"source\": 0, \"target\": 7}, {\"weight\": 988, \"source\": 0, \"target\": 6}, {\"weight\": 6460, \"source\": 0, \"target\": 4}, {\"weight\": 12267, \"source\": 0, \"target\": 1}, {\"weight\": 12281, \"source\": 0, \"target\": 5}, {\"weight\": 9531, \"source\": 0, \"target\": 3}, {\"weight\": 8220, \"source\": 0, \"target\": 2}, {\"weight\": 1029, \"source\": 0, \"target\": 8}, {\"weight\": 11034, \"source\": 1, \"target\": 7}, {\"weight\": 12806, \"source\": 1, \"target\": 6}, {\"weight\": 7147, \"source\": 1, \"target\": 4}, {\"weight\": 11587, \"source\": 1, \"target\": 5}, {\"weight\": 7513, \"source\": 1, \"target\": 3}, {\"weight\": 13722, \"source\": 1, \"target\": 2}, {\"weight\": 11940, \"source\": 1, \"target\": 8}, {\"weight\": 9443, \"source\": 2, \"target\": 7}, {\"weight\": 7422, \"source\": 2, \"target\": 6}, {\"weight\": 11560, \"source\": 2, \"target\": 4}, {\"weight\": 4475, \"source\": 2, \"target\": 5}, {\"weight\": 9515, \"source\": 2, \"target\": 3}, {\"weight\": 8641, \"source\": 2, \"target\": 8}, {\"weight\": 8971, \"source\": 3, \"target\": 7}, {\"weight\": 9867, \"source\": 3, \"target\": 6}, {\"weight\": 5287, \"source\": 3, \"target\": 4}, {\"weight\": 7044, \"source\": 3, \"target\": 5}, {\"weight\": 9363, \"source\": 3, \"target\": 8}, {\"weight\": 5841, \"source\": 4, \"target\": 7}, {\"weight\": 6859, \"source\": 4, \"target\": 6}, {\"weight\": 10956, \"source\": 4, \"target\": 5}, {\"weight\": 6292, \"source\": 4, \"target\": 8}, {\"weight\": 13471, \"source\": 5, \"target\": 7}, {\"weight\": 11525, \"source\": 5, \"target\": 6}, {\"weight\": 12694, \"source\": 5, \"target\": 8}, {\"weight\": 2248, \"source\": 6, \"target\": 7}, {\"weight\": 1403, \"source\": 6, \"target\": 8}, {\"weight\": 1133, \"source\": 7, \"target\": 8}]}", "id": 1415, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: CDG, MLG, LPS, BVV, KRY, LNY, CAL, TSR, BRN\n- Travel distances (in kilometers) between each pair of airports:\nCDG to TSR: 1456\nCDG to CAL: 988\nCDG to KRY: 6460\nCDG to MLG: 12267\nCDG to LNY: 12281\nCDG to BVV: 9531\nCDG to LPS: 8220\nCDG to BRN: 1029\nMLG to TSR: 11034\nMLG to CAL: 12806\nMLG to KRY: 7147\nMLG to LNY: 11587\nMLG to BVV: 7513\nMLG to LPS: 13722\nMLG to BRN: 11940\nLPS to TSR: 9443\nLPS to CAL: 7422\nLPS to KRY: 11560\nLPS to LNY: 4475\nLPS to BVV: 9515\nLPS to BRN: 8641\nBVV to TSR: 8971\nBVV to CAL: 9867\nBVV to KRY: 5287\nBVV to LNY: 7044\nBVV to BRN: 9363\nKRY to TSR: 5841\nKRY to CAL: 6859\nKRY to LNY: 10956\nKRY to BRN: 6292\nLNY to TSR: 13471\nLNY to CAL: 11525\nLNY to BRN: 12694\nCAL to TSR: 2248\nCAL to BRN: 1403\nTSR to BRN: 1133\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: JAX, SYR, AOE, PGA, SJL, YFB, HRI, KAL, MXP\n- Travel distances (in kilometers) between each pair of airports:\nJAX to MXP: 7746\nJAX to YFB: 3835\nJAX to KAL: 6876\nJAX to SYR: 1491\nJAX to SJL: 5374\nJAX to HRI: 15557\nJAX to PGA: 2998\nJAX to AOE: 9571\nSYR to MXP: 6555\nSYR to YFB: 2751\nSYR to KAL: 6365\nSYR to SJL: 6563\nSYR to HRI: 14359\nSYR to PGA: 3072\nSYR to AOE: 8369\nAOE to MXP: 3024\nAOE to YFB: 8906\nAOE to KAL: 13306\nAOE to SJL: 12534\nAOE to HRI: 10899\nAOE to PGA: 10880\nPGA to MXP: 9106\nPGA to YFB: 4576\nPGA to KAL: 5159\nPGA to SJL: 8256\nPGA to HRI: 15917\nSJL to MXP: 10547\nSJL to YFB: 8843\nSJL to KAL: 12200\nSJL to HRI: 17724\nYFB to MXP: 7132\nYFB to KAL: 7213\nYFB to HRI: 15080\nHRI to MXP: 8159\nHRI to KAL: 16822\nKAL to MXP: 11605\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 59756, "style": "rule" }	{ "exact_answer": 59756, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAX\", \"id\": 0}, {\"name\": \"SYR\", \"id\": 1}, {\"name\": \"AOE\", \"id\": 2}, {\"name\": \"PGA\", \"id\": 3}, {\"name\": \"SJL\", \"id\": 4}, {\"name\": \"YFB\", \"id\": 5}, {\"name\": \"HRI\", \"id\": 6}, {\"name\": \"KAL\", \"id\": 7}, {\"name\": \"MXP\", \"id\": 8}], \"links\": [{\"weight\": 7746, \"source\": 0, \"target\": 8}, {\"weight\": 3835, \"source\": 0, \"target\": 5}, {\"weight\": 6876, \"source\": 0, \"target\": 7}, {\"weight\": 1491, \"source\": 0, \"target\": 1}, {\"weight\": 5374, \"source\": 0, \"target\": 4}, {\"weight\": 15557, \"source\": 0, \"target\": 6}, {\"weight\": 2998, \"source\": 0, \"target\": 3}, {\"weight\": 9571, \"source\": 0, \"target\": 2}, {\"weight\": 6555, \"source\": 1, \"target\": 8}, {\"weight\": 2751, \"source\": 1, \"target\": 5}, {\"weight\": 6365, \"source\": 1, \"target\": 7}, {\"weight\": 6563, \"source\": 1, \"target\": 4}, {\"weight\": 14359, \"source\": 1, \"target\": 6}, {\"weight\": 3072, \"source\": 1, \"target\": 3}, {\"weight\": 8369, \"source\": 1, \"target\": 2}, {\"weight\": 3024, \"source\": 2, \"target\": 8}, {\"weight\": 8906, \"source\": 2, \"target\": 5}, {\"weight\": 13306, \"source\": 2, \"target\": 7}, {\"weight\": 12534, \"source\": 2, \"target\": 4}, {\"weight\": 10899, \"source\": 2, \"target\": 6}, {\"weight\": 10880, \"source\": 2, \"target\": 3}, {\"weight\": 9106, \"source\": 3, \"target\": 8}, {\"weight\": 4576, \"source\": 3, \"target\": 5}, {\"weight\": 5159, \"source\": 3, \"target\": 7}, {\"weight\": 8256, \"source\": 3, \"target\": 4}, {\"weight\": 15917, \"source\": 3, \"target\": 6}, {\"weight\": 10547, \"source\": 4, \"target\": 8}, {\"weight\": 8843, \"source\": 4, \"target\": 5}, {\"weight\": 12200, \"source\": 4, \"target\": 7}, {\"weight\": 17724, \"source\": 4, \"target\": 6}, {\"weight\": 7132, \"source\": 5, \"target\": 8}, {\"weight\": 7213, \"source\": 5, \"target\": 7}, {\"weight\": 15080, \"source\": 5, \"target\": 6}, {\"weight\": 8159, \"source\": 6, \"target\": 8}, {\"weight\": 16822, \"source\": 6, \"target\": 7}, {\"weight\": 11605, \"source\": 7, \"target\": 8}]}", "id": 1416, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: JAX, SYR, AOE, PGA, SJL, YFB, HRI, KAL, MXP\n- Travel distances (in kilometers) between each pair of airports:\nJAX to MXP: 7746\nJAX to YFB: 3835\nJAX to KAL: 6876\nJAX to SYR: 1491\nJAX to SJL: 5374\nJAX to HRI: 15557\nJAX to PGA: 2998\nJAX to AOE: 9571\nSYR to MXP: 6555\nSYR to YFB: 2751\nSYR to KAL: 6365\nSYR to SJL: 6563\nSYR to HRI: 14359\nSYR to PGA: 3072\nSYR to AOE: 8369\nAOE to MXP: 3024\nAOE to YFB: 8906\nAOE to KAL: 13306\nAOE to SJL: 12534\nAOE to HRI: 10899\nAOE to PGA: 10880\nPGA to MXP: 9106\nPGA to YFB: 4576\nPGA to KAL: 5159\nPGA to SJL: 8256\nPGA to HRI: 15917\nSJL to MXP: 10547\nSJL to YFB: 8843\nSJL to KAL: 12200\nSJL to HRI: 17724\nYFB to MXP: 7132\nYFB to KAL: 7213\nYFB to HRI: 15080\nHRI to MXP: 8159\nHRI to KAL: 16822\nKAL to MXP: 11605\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BSA, MGA, LYA, GAF, MWF, BNX, PGF, YNZ, TUL\n- Travel distances (in kilometers) between each pair of airports:\nBSA to MGA: 15165\nBSA to LYA: 8217\nBSA to PGF: 6997\nBSA to TUL: 13899\nBSA to YNZ: 8781\nBSA to BNX: 5266\nBSA to MWF: 15715\nBSA to GAF: 5458\nMGA to LYA: 14453\nMGA to PGF: 9646\nMGA to TUL: 2890\nMGA to YNZ: 14327\nMGA to BNX: 10212\nMGA to MWF: 14309\nMGA to GAF: 10305\nLYA to PGF: 9596\nLYA to TUL: 11850\nLYA to YNZ: 1190\nLYA to BNX: 8457\nLYA to MWF: 9411\nLYA to GAF: 9667\nGAF to PGF: 2406\nGAF to TUL: 9186\nGAF to YNZ: 9774\nGAF to BNX: 1760\nGAF to MWF: 18104\nMWF to PGF: 18296\nMWF to TUL: 12329\nMWF to YNZ: 9103\nMWF to BNX: 17176\nBNX to PGF: 2017\nBNX to TUL: 8801\nBNX to YNZ: 8564\nPGF to TUL: 8201\nPGF to YNZ: 9703\nYNZ to TUL: 11619\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 52610, "style": "rule" }	{ "exact_answer": 52610, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BSA\", \"id\": 0}, {\"name\": \"MGA\", \"id\": 1}, {\"name\": \"LYA\", \"id\": 2}, {\"name\": \"GAF\", \"id\": 3}, {\"name\": \"MWF\", \"id\": 4}, {\"name\": \"BNX\", \"id\": 5}, {\"name\": \"PGF\", \"id\": 6}, {\"name\": \"YNZ\", \"id\": 7}, {\"name\": \"TUL\", \"id\": 8}], \"links\": [{\"weight\": 15165, \"source\": 0, \"target\": 1}, {\"weight\": 8217, \"source\": 0, \"target\": 2}, {\"weight\": 6997, \"source\": 0, \"target\": 6}, {\"weight\": 13899, \"source\": 0, \"target\": 8}, {\"weight\": 8781, \"source\": 0, \"target\": 7}, {\"weight\": 5266, \"source\": 0, \"target\": 5}, {\"weight\": 15715, \"source\": 0, \"target\": 4}, {\"weight\": 5458, \"source\": 0, \"target\": 3}, {\"weight\": 14453, \"source\": 1, \"target\": 2}, {\"weight\": 9646, \"source\": 1, \"target\": 6}, {\"weight\": 2890, \"source\": 1, \"target\": 8}, {\"weight\": 14327, \"source\": 1, \"target\": 7}, {\"weight\": 10212, \"source\": 1, \"target\": 5}, {\"weight\": 14309, \"source\": 1, \"target\": 4}, {\"weight\": 10305, \"source\": 1, \"target\": 3}, {\"weight\": 9596, \"source\": 2, \"target\": 6}, {\"weight\": 11850, \"source\": 2, \"target\": 8}, {\"weight\": 1190, \"source\": 2, \"target\": 7}, {\"weight\": 8457, \"source\": 2, \"target\": 5}, {\"weight\": 9411, \"source\": 2, \"target\": 4}, {\"weight\": 9667, \"source\": 2, \"target\": 3}, {\"weight\": 2406, \"source\": 3, \"target\": 6}, {\"weight\": 9186, \"source\": 3, \"target\": 8}, {\"weight\": 9774, \"source\": 3, \"target\": 7}, {\"weight\": 1760, \"source\": 3, \"target\": 5}, {\"weight\": 18104, \"source\": 3, \"target\": 4}, {\"weight\": 18296, \"source\": 4, \"target\": 6}, {\"weight\": 12329, \"source\": 4, \"target\": 8}, {\"weight\": 9103, \"source\": 4, \"target\": 7}, {\"weight\": 17176, \"source\": 4, \"target\": 5}, {\"weight\": 2017, \"source\": 5, \"target\": 6}, {\"weight\": 8801, \"source\": 5, \"target\": 8}, {\"weight\": 8564, \"source\": 5, \"target\": 7}, {\"weight\": 8201, \"source\": 6, \"target\": 8}, {\"weight\": 9703, \"source\": 6, \"target\": 7}, {\"weight\": 11619, \"source\": 7, \"target\": 8}]}", "id": 1417, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BSA, MGA, LYA, GAF, MWF, BNX, PGF, YNZ, TUL\n- Travel distances (in kilometers) between each pair of airports:\nBSA to MGA: 15165\nBSA to LYA: 8217\nBSA to PGF: 6997\nBSA to TUL: 13899\nBSA to YNZ: 8781\nBSA to BNX: 5266\nBSA to MWF: 15715\nBSA to GAF: 5458\nMGA to LYA: 14453\nMGA to PGF: 9646\nMGA to TUL: 2890\nMGA to YNZ: 14327\nMGA to BNX: 10212\nMGA to MWF: 14309\nMGA to GAF: 10305\nLYA to PGF: 9596\nLYA to TUL: 11850\nLYA to YNZ: 1190\nLYA to BNX: 8457\nLYA to MWF: 9411\nLYA to GAF: 9667\nGAF to PGF: 2406\nGAF to TUL: 9186\nGAF to YNZ: 9774\nGAF to BNX: 1760\nGAF to MWF: 18104\nMWF to PGF: 18296\nMWF to TUL: 12329\nMWF to YNZ: 9103\nMWF to BNX: 17176\nBNX to PGF: 2017\nBNX to TUL: 8801\nBNX to YNZ: 8564\nPGF to TUL: 8201\nPGF to YNZ: 9703\nYNZ to TUL: 11619\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: PJA, RMA, MUK, XNN, YPN, COR, PEN, PMF, CBR\n- Travel distances (in kilometers) between each pair of airports:\nPJA to PEN: 9575\nPJA to XNN: 6921\nPJA to COR: 13691\nPJA to CBR: 16372\nPJA to PMF: 3305\nPJA to MUK: 17560\nPJA to RMA: 15951\nPJA to YPN: 7372\nRMA to PEN: 6819\nRMA to XNN: 9174\nRMA to COR: 13046\nRMA to CBR: 1396\nRMA to PMF: 17116\nRMA to MUK: 6029\nRMA to YPN: 16825\nMUK to PEN: 12161\nMUK to XNN: 14299\nMUK to COR: 10080\nMUK to CBR: 5502\nMUK to PMF: 17850\nMUK to YPN: 12701\nXNN to PEN: 3491\nXNN to COR: 18706\nXNN to CBR: 9589\nXNN to PMF: 8418\nXNN to YPN: 12811\nYPN to PEN: 15448\nYPN to COR: 9721\nYPN to CBR: 17174\nYPN to PMF: 6856\nCOR to PEN: 18228\nCOR to CBR: 12234\nCOR to PMF: 11782\nPEN to CBR: 6974\nPEN to PMF: 10440\nPMF to CBR: 17109\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54091, "style": "rule" }	{ "exact_answer": 54091, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PJA\", \"id\": 0}, {\"name\": \"RMA\", \"id\": 1}, {\"name\": \"MUK\", \"id\": 2}, {\"name\": \"XNN\", \"id\": 3}, {\"name\": \"YPN\", \"id\": 4}, {\"name\": \"COR\", \"id\": 5}, {\"name\": \"PEN\", \"id\": 6}, {\"name\": \"PMF\", \"id\": 7}, {\"name\": \"CBR\", \"id\": 8}], \"links\": [{\"weight\": 9575, \"source\": 0, \"target\": 6}, {\"weight\": 6921, \"source\": 0, \"target\": 3}, {\"weight\": 13691, \"source\": 0, \"target\": 5}, {\"weight\": 16372, \"source\": 0, \"target\": 8}, {\"weight\": 3305, \"source\": 0, \"target\": 7}, {\"weight\": 17560, \"source\": 0, \"target\": 2}, {\"weight\": 15951, \"source\": 0, \"target\": 1}, {\"weight\": 7372, \"source\": 0, \"target\": 4}, {\"weight\": 6819, \"source\": 1, \"target\": 6}, {\"weight\": 9174, \"source\": 1, \"target\": 3}, {\"weight\": 13046, \"source\": 1, \"target\": 5}, {\"weight\": 1396, \"source\": 1, \"target\": 8}, {\"weight\": 17116, \"source\": 1, \"target\": 7}, {\"weight\": 6029, \"source\": 1, \"target\": 2}, {\"weight\": 16825, \"source\": 1, \"target\": 4}, {\"weight\": 12161, \"source\": 2, \"target\": 6}, {\"weight\": 14299, \"source\": 2, \"target\": 3}, {\"weight\": 10080, \"source\": 2, \"target\": 5}, {\"weight\": 5502, \"source\": 2, \"target\": 8}, {\"weight\": 17850, \"source\": 2, \"target\": 7}, {\"weight\": 12701, \"source\": 2, \"target\": 4}, {\"weight\": 3491, \"source\": 3, \"target\": 6}, {\"weight\": 18706, \"source\": 3, \"target\": 5}, {\"weight\": 9589, \"source\": 3, \"target\": 8}, {\"weight\": 8418, \"source\": 3, \"target\": 7}, {\"weight\": 12811, \"source\": 3, \"target\": 4}, {\"weight\": 15448, \"source\": 4, \"target\": 6}, {\"weight\": 9721, \"source\": 4, \"target\": 5}, {\"weight\": 17174, \"source\": 4, \"target\": 8}, {\"weight\": 6856, \"source\": 4, \"target\": 7}, {\"weight\": 18228, \"source\": 5, \"target\": 6}, {\"weight\": 12234, \"source\": 5, \"target\": 8}, {\"weight\": 11782, \"source\": 5, \"target\": 7}, {\"weight\": 6974, \"source\": 6, \"target\": 8}, {\"weight\": 10440, \"source\": 6, \"target\": 7}, {\"weight\": 17109, \"source\": 7, \"target\": 8}]}", "id": 1418, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: PJA, RMA, MUK, XNN, YPN, COR, PEN, PMF, CBR\n- Travel distances (in kilometers) between each pair of airports:\nPJA to PEN: 9575\nPJA to XNN: 6921\nPJA to COR: 13691\nPJA to CBR: 16372\nPJA to PMF: 3305\nPJA to MUK: 17560\nPJA to RMA: 15951\nPJA to YPN: 7372\nRMA to PEN: 6819\nRMA to XNN: 9174\nRMA to COR: 13046\nRMA to CBR: 1396\nRMA to PMF: 17116\nRMA to MUK: 6029\nRMA to YPN: 16825\nMUK to PEN: 12161\nMUK to XNN: 14299\nMUK to COR: 10080\nMUK to CBR: 5502\nMUK to PMF: 17850\nMUK to YPN: 12701\nXNN to PEN: 3491\nXNN to COR: 18706\nXNN to CBR: 9589\nXNN to PMF: 8418\nXNN to YPN: 12811\nYPN to PEN: 15448\nYPN to COR: 9721\nYPN to CBR: 17174\nYPN to PMF: 6856\nCOR to PEN: 18228\nCOR to CBR: 12234\nCOR to PMF: 11782\nPEN to CBR: 6974\nPEN to PMF: 10440\nPMF to CBR: 17109\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: YNT, CDG, ORH, PIZ, JIM, LKN, VNX, FKB, THL\n- Travel distances (in kilometers) between each pair of airports:\nYNT to CDG: 8699\nYNT to FKB: 8423\nYNT to THL: 3490\nYNT to PIZ: 12266\nYNT to ORH: 14342\nYNT to JIM: 9019\nYNT to VNX: 12935\nYNT to LKN: 8291\nCDG to FKB: 1283\nCDG to THL: 9468\nCDG to PIZ: 11604\nCDG to ORH: 9055\nCDG to JIM: 5760\nCDG to VNX: 9587\nCDG to LKN: 2243\nORH to FKB: 9422\nORH to THL: 17265\nORH to PIZ: 9243\nORH to JIM: 14721\nORH to VNX: 16839\nORH to LKN: 9623\nPIZ to FKB: 11906\nPIZ to THL: 15562\nPIZ to JIM: 17282\nPIZ to VNX: 20709\nPIZ to LKN: 11554\nJIM to FKB: 5548\nJIM to THL: 7269\nJIM to VNX: 4635\nJIM to LKN: 7196\nLKN to FKB: 2192\nLKN to THL: 9520\nLKN to VNX: 11387\nVNX to FKB: 9731\nVNX to THL: 11022\nFKB to THL: 9319\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 59353, "style": "rule" }	{ "exact_answer": 59353, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YNT\", \"id\": 0}, {\"name\": \"CDG\", \"id\": 1}, {\"name\": \"ORH\", \"id\": 2}, {\"name\": \"PIZ\", \"id\": 3}, {\"name\": \"JIM\", \"id\": 4}, {\"name\": \"LKN\", \"id\": 5}, {\"name\": \"VNX\", \"id\": 6}, {\"name\": \"FKB\", \"id\": 7}, {\"name\": \"THL\", \"id\": 8}], \"links\": [{\"weight\": 8699, \"source\": 0, \"target\": 1}, {\"weight\": 8423, \"source\": 0, \"target\": 7}, {\"weight\": 3490, \"source\": 0, \"target\": 8}, {\"weight\": 12266, \"source\": 0, \"target\": 3}, {\"weight\": 14342, \"source\": 0, \"target\": 2}, {\"weight\": 9019, \"source\": 0, \"target\": 4}, {\"weight\": 12935, \"source\": 0, \"target\": 6}, {\"weight\": 8291, \"source\": 0, \"target\": 5}, {\"weight\": 1283, \"source\": 1, \"target\": 7}, {\"weight\": 9468, \"source\": 1, \"target\": 8}, {\"weight\": 11604, \"source\": 1, \"target\": 3}, {\"weight\": 9055, \"source\": 1, \"target\": 2}, {\"weight\": 5760, \"source\": 1, \"target\": 4}, {\"weight\": 9587, \"source\": 1, \"target\": 6}, {\"weight\": 2243, \"source\": 1, \"target\": 5}, {\"weight\": 9422, \"source\": 2, \"target\": 7}, {\"weight\": 17265, \"source\": 2, \"target\": 8}, {\"weight\": 9243, \"source\": 2, \"target\": 3}, {\"weight\": 14721, \"source\": 2, \"target\": 4}, {\"weight\": 16839, \"source\": 2, \"target\": 6}, {\"weight\": 9623, \"source\": 2, \"target\": 5}, {\"weight\": 11906, \"source\": 3, \"target\": 7}, {\"weight\": 15562, \"source\": 3, \"target\": 8}, {\"weight\": 17282, \"source\": 3, \"target\": 4}, {\"weight\": 20709, \"source\": 3, \"target\": 6}, {\"weight\": 11554, \"source\": 3, \"target\": 5}, {\"weight\": 5548, \"source\": 4, \"target\": 7}, {\"weight\": 7269, \"source\": 4, \"target\": 8}, {\"weight\": 4635, \"source\": 4, \"target\": 6}, {\"weight\": 7196, \"source\": 4, \"target\": 5}, {\"weight\": 2192, \"source\": 5, \"target\": 7}, {\"weight\": 9520, \"source\": 5, \"target\": 8}, {\"weight\": 11387, \"source\": 5, \"target\": 6}, {\"weight\": 9731, \"source\": 6, \"target\": 7}, {\"weight\": 11022, \"source\": 6, \"target\": 8}, {\"weight\": 9319, \"source\": 7, \"target\": 8}]}", "id": 1419, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: YNT, CDG, ORH, PIZ, JIM, LKN, VNX, FKB, THL\n- Travel distances (in kilometers) between each pair of airports:\nYNT to CDG: 8699\nYNT to FKB: 8423\nYNT to THL: 3490\nYNT to PIZ: 12266\nYNT to ORH: 14342\nYNT to JIM: 9019\nYNT to VNX: 12935\nYNT to LKN: 8291\nCDG to FKB: 1283\nCDG to THL: 9468\nCDG to PIZ: 11604\nCDG to ORH: 9055\nCDG to JIM: 5760\nCDG to VNX: 9587\nCDG to LKN: 2243\nORH to FKB: 9422\nORH to THL: 17265\nORH to PIZ: 9243\nORH to JIM: 14721\nORH to VNX: 16839\nORH to LKN: 9623\nPIZ to FKB: 11906\nPIZ to THL: 15562\nPIZ to JIM: 17282\nPIZ to VNX: 20709\nPIZ to LKN: 11554\nJIM to FKB: 5548\nJIM to THL: 7269\nJIM to VNX: 4635\nJIM to LKN: 7196\nLKN to FKB: 2192\nLKN to THL: 9520\nLKN to VNX: 11387\nVNX to FKB: 9731\nVNX to THL: 11022\nFKB to THL: 9319\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: AXM, LTN, HSL, DND, RAH, GRJ, JHG, JBQ, HUU\n- Travel distances (in kilometers) between each pair of airports:\nAXM to HUU: 2325\nAXM to JHG: 17418\nAXM to HSL: 9648\nAXM to DND: 9720\nAXM to LTN: 9204\nAXM to GRJ: 12997\nAXM to JBQ: 1835\nAXM to RAH: 13723\nLTN to HUU: 10909\nLTN to JHG: 9294\nLTN to HSL: 10540\nLTN to DND: 1215\nLTN to GRJ: 10090\nLTN to JBQ: 8083\nLTN to RAH: 5558\nHSL to HUU: 11164\nHSL to JHG: 14052\nHSL to DND: 11114\nHSL to GRJ: 20033\nHSL to JBQ: 8631\nHSL to RAH: 15860\nDND to HUU: 11521\nDND to JHG: 9809\nDND to GRJ: 10793\nDND to JBQ: 8697\nDND to RAH: 6068\nRAH to HUU: 15328\nRAH to JHG: 6557\nRAH to GRJ: 7677\nRAH to JBQ: 12757\nGRJ to HUU: 12209\nGRJ to JHG: 11016\nGRJ to JBQ: 13939\nJHG to HUU: 19378\nJHG to JBQ: 16181\nJBQ to HUU: 3796\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 60396, "style": "rule" }	{ "exact_answer": 60396, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AXM\", \"id\": 0}, {\"name\": \"LTN\", \"id\": 1}, {\"name\": \"HSL\", \"id\": 2}, {\"name\": \"DND\", \"id\": 3}, {\"name\": \"RAH\", \"id\": 4}, {\"name\": \"GRJ\", \"id\": 5}, {\"name\": \"JHG\", \"id\": 6}, {\"name\": \"JBQ\", \"id\": 7}, {\"name\": \"HUU\", \"id\": 8}], \"links\": [{\"weight\": 2325, \"source\": 0, \"target\": 8}, {\"weight\": 17418, \"source\": 0, \"target\": 6}, {\"weight\": 9648, \"source\": 0, \"target\": 2}, {\"weight\": 9720, \"source\": 0, \"target\": 3}, {\"weight\": 9204, \"source\": 0, \"target\": 1}, {\"weight\": 12997, \"source\": 0, \"target\": 5}, {\"weight\": 1835, \"source\": 0, \"target\": 7}, {\"weight\": 13723, \"source\": 0, \"target\": 4}, {\"weight\": 10909, \"source\": 1, \"target\": 8}, {\"weight\": 9294, \"source\": 1, \"target\": 6}, {\"weight\": 10540, \"source\": 1, \"target\": 2}, {\"weight\": 1215, \"source\": 1, \"target\": 3}, {\"weight\": 10090, \"source\": 1, \"target\": 5}, {\"weight\": 8083, \"source\": 1, \"target\": 7}, {\"weight\": 5558, \"source\": 1, \"target\": 4}, {\"weight\": 11164, \"source\": 2, \"target\": 8}, {\"weight\": 14052, \"source\": 2, \"target\": 6}, {\"weight\": 11114, \"source\": 2, \"target\": 3}, {\"weight\": 20033, \"source\": 2, \"target\": 5}, {\"weight\": 8631, \"source\": 2, \"target\": 7}, {\"weight\": 15860, \"source\": 2, \"target\": 4}, {\"weight\": 11521, \"source\": 3, \"target\": 8}, {\"weight\": 9809, \"source\": 3, \"target\": 6}, {\"weight\": 10793, \"source\": 3, \"target\": 5}, {\"weight\": 8697, \"source\": 3, \"target\": 7}, {\"weight\": 6068, \"source\": 3, \"target\": 4}, {\"weight\": 15328, \"source\": 4, \"target\": 8}, {\"weight\": 6557, \"source\": 4, \"target\": 6}, {\"weight\": 7677, \"source\": 4, \"target\": 5}, {\"weight\": 12757, \"source\": 4, \"target\": 7}, {\"weight\": 12209, \"source\": 5, \"target\": 8}, {\"weight\": 11016, \"source\": 5, \"target\": 6}, {\"weight\": 13939, \"source\": 5, \"target\": 7}, {\"weight\": 19378, \"source\": 6, \"target\": 8}, {\"weight\": 16181, \"source\": 6, \"target\": 7}, {\"weight\": 3796, \"source\": 7, \"target\": 8}]}", "id": 1420, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: AXM, LTN, HSL, DND, RAH, GRJ, JHG, JBQ, HUU\n- Travel distances (in kilometers) between each pair of airports:\nAXM to HUU: 2325\nAXM to JHG: 17418\nAXM to HSL: 9648\nAXM to DND: 9720\nAXM to LTN: 9204\nAXM to GRJ: 12997\nAXM to JBQ: 1835\nAXM to RAH: 13723\nLTN to HUU: 10909\nLTN to JHG: 9294\nLTN to HSL: 10540\nLTN to DND: 1215\nLTN to GRJ: 10090\nLTN to JBQ: 8083\nLTN to RAH: 5558\nHSL to HUU: 11164\nHSL to JHG: 14052\nHSL to DND: 11114\nHSL to GRJ: 20033\nHSL to JBQ: 8631\nHSL to RAH: 15860\nDND to HUU: 11521\nDND to JHG: 9809\nDND to GRJ: 10793\nDND to JBQ: 8697\nDND to RAH: 6068\nRAH to HUU: 15328\nRAH to JHG: 6557\nRAH to GRJ: 7677\nRAH to JBQ: 12757\nGRJ to HUU: 12209\nGRJ to JHG: 11016\nGRJ to JBQ: 13939\nJHG to HUU: 19378\nJHG to JBQ: 16181\nJBQ to HUU: 3796\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: NUI, GZT, MCI, TLT, PIA, RUA, LIH, THE, CHU\n- Travel distances (in kilometers) between each pair of airports:\nNUI to TLT: 1797\nNUI to CHU: 1627\nNUI to GZT: 13975\nNUI to MCI: 5545\nNUI to PIA: 5692\nNUI to LIH: 5737\nNUI to THE: 12728\nNUI to RUA: 17726\nGZT to TLT: 13843\nGZT to CHU: 13673\nGZT to MCI: 10317\nGZT to PIA: 9878\nGZT to LIH: 15122\nGZT to THE: 9890\nGZT to RUA: 5299\nMCI to TLT: 5372\nMCI to CHU: 5202\nMCI to PIA: 855\nMCI to LIH: 6340\nMCI to THE: 7345\nMCI to RUA: 13862\nTLT to CHU: 233\nTLT to PIA: 5289\nTLT to LIH: 5334\nTLT to THE: 12325\nTLT to RUA: 17594\nPIA to CHU: 5119\nPIA to LIH: 6758\nPIA to THE: 7141\nPIA to RUA: 13423\nRUA to CHU: 17424\nRUA to LIH: 18216\nRUA to THE: 10085\nLIH to CHU: 5164\nLIH to THE: 13272\nTHE to CHU: 12155\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 50889, "style": "rule" }	{ "exact_answer": 50889, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NUI\", \"id\": 0}, {\"name\": \"GZT\", \"id\": 1}, {\"name\": \"MCI\", \"id\": 2}, {\"name\": \"TLT\", \"id\": 3}, {\"name\": \"PIA\", \"id\": 4}, {\"name\": \"RUA\", \"id\": 5}, {\"name\": \"LIH\", \"id\": 6}, {\"name\": \"THE\", \"id\": 7}, {\"name\": \"CHU\", \"id\": 8}], \"links\": [{\"weight\": 1797, \"source\": 0, \"target\": 3}, {\"weight\": 1627, \"source\": 0, \"target\": 8}, {\"weight\": 13975, \"source\": 0, \"target\": 1}, {\"weight\": 5545, \"source\": 0, \"target\": 2}, {\"weight\": 5692, \"source\": 0, \"target\": 4}, {\"weight\": 5737, \"source\": 0, \"target\": 6}, {\"weight\": 12728, \"source\": 0, \"target\": 7}, {\"weight\": 17726, \"source\": 0, \"target\": 5}, {\"weight\": 13843, \"source\": 1, \"target\": 3}, {\"weight\": 13673, \"source\": 1, \"target\": 8}, {\"weight\": 10317, \"source\": 1, \"target\": 2}, {\"weight\": 9878, \"source\": 1, \"target\": 4}, {\"weight\": 15122, \"source\": 1, \"target\": 6}, {\"weight\": 9890, \"source\": 1, \"target\": 7}, {\"weight\": 5299, \"source\": 1, \"target\": 5}, {\"weight\": 5372, \"source\": 2, \"target\": 3}, {\"weight\": 5202, \"source\": 2, \"target\": 8}, {\"weight\": 855, \"source\": 2, \"target\": 4}, {\"weight\": 6340, \"source\": 2, \"target\": 6}, {\"weight\": 7345, \"source\": 2, \"target\": 7}, {\"weight\": 13862, \"source\": 2, \"target\": 5}, {\"weight\": 233, \"source\": 3, \"target\": 8}, {\"weight\": 5289, \"source\": 3, \"target\": 4}, {\"weight\": 5334, \"source\": 3, \"target\": 6}, {\"weight\": 12325, \"source\": 3, \"target\": 7}, {\"weight\": 17594, \"source\": 3, \"target\": 5}, {\"weight\": 5119, \"source\": 4, \"target\": 8}, {\"weight\": 6758, \"source\": 4, \"target\": 6}, {\"weight\": 7141, \"source\": 4, \"target\": 7}, {\"weight\": 13423, \"source\": 4, \"target\": 5}, {\"weight\": 17424, \"source\": 5, \"target\": 8}, {\"weight\": 18216, \"source\": 5, \"target\": 6}, {\"weight\": 10085, \"source\": 5, \"target\": 7}, {\"weight\": 5164, \"source\": 6, \"target\": 8}, {\"weight\": 13272, \"source\": 6, \"target\": 7}, {\"weight\": 12155, \"source\": 7, \"target\": 8}]}", "id": 1421, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: NUI, GZT, MCI, TLT, PIA, RUA, LIH, THE, CHU\n- Travel distances (in kilometers) between each pair of airports:\nNUI to TLT: 1797\nNUI to CHU: 1627\nNUI to GZT: 13975\nNUI to MCI: 5545\nNUI to PIA: 5692\nNUI to LIH: 5737\nNUI to THE: 12728\nNUI to RUA: 17726\nGZT to TLT: 13843\nGZT to CHU: 13673\nGZT to MCI: 10317\nGZT to PIA: 9878\nGZT to LIH: 15122\nGZT to THE: 9890\nGZT to RUA: 5299\nMCI to TLT: 5372\nMCI to CHU: 5202\nMCI to PIA: 855\nMCI to LIH: 6340\nMCI to THE: 7345\nMCI to RUA: 13862\nTLT to CHU: 233\nTLT to PIA: 5289\nTLT to LIH: 5334\nTLT to THE: 12325\nTLT to RUA: 17594\nPIA to CHU: 5119\nPIA to LIH: 6758\nPIA to THE: 7141\nPIA to RUA: 13423\nRUA to CHU: 17424\nRUA to LIH: 18216\nRUA to THE: 10085\nLIH to CHU: 5164\nLIH to THE: 13272\nTHE to CHU: 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\nProblem to Solve\n\n- Airports to visit: GLK, SBZ, RLG, ELI, KER, LWS, LYB, OSY, GCC\n- Travel distances (in kilometers) between each pair of airports:\nGLK to RLG: 6894\nGLK to ELI: 17868\nGLK to LWS: 15151\nGLK to GCC: 15151\nGLK to KER: 3730\nGLK to LYB: 14761\nGLK to SBZ: 5440\nGLK to OSY: 7640\nSBZ to RLG: 1592\nSBZ to ELI: 12561\nSBZ to LWS: 9844\nSBZ to GCC: 9837\nSBZ to KER: 3457\nSBZ to LYB: 9708\nSBZ to OSY: 2495\nRLG to ELI: 11691\nRLG to LWS: 8974\nRLG to GCC: 8982\nRLG to KER: 4979\nRLG to LYB: 8829\nRLG to OSY: 2031\nELI to LWS: 3555\nELI to GCC: 4882\nELI to KER: 15882\nELI to LYB: 7971\nELI to OSY: 10696\nKER to LWS: 13165\nKER to GCC: 13165\nKER to LYB: 13096\nKER to OSY: 5497\nLWS to GCC: 1400\nLWS to LYB: 4646\nLWS to OSY: 7979\nLYB to GCC: 3874\nLYB to OSY: 8352\nOSY to GCC: 7979\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 44613, "style": "rule" }	{ "exact_answer": 44613, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GLK\", \"id\": 0}, {\"name\": \"SBZ\", \"id\": 1}, {\"name\": \"RLG\", \"id\": 2}, {\"name\": \"ELI\", \"id\": 3}, {\"name\": \"KER\", \"id\": 4}, {\"name\": \"LWS\", \"id\": 5}, {\"name\": \"LYB\", \"id\": 6}, {\"name\": \"OSY\", \"id\": 7}, {\"name\": \"GCC\", \"id\": 8}], \"links\": [{\"weight\": 6894, \"source\": 0, \"target\": 2}, {\"weight\": 17868, \"source\": 0, \"target\": 3}, {\"weight\": 15151, \"source\": 0, \"target\": 5}, {\"weight\": 15151, \"source\": 0, \"target\": 8}, {\"weight\": 3730, \"source\": 0, \"target\": 4}, {\"weight\": 14761, \"source\": 0, \"target\": 6}, {\"weight\": 5440, \"source\": 0, \"target\": 1}, {\"weight\": 7640, \"source\": 0, \"target\": 7}, {\"weight\": 1592, \"source\": 1, \"target\": 2}, {\"weight\": 12561, \"source\": 1, \"target\": 3}, {\"weight\": 9844, \"source\": 1, \"target\": 5}, {\"weight\": 9837, \"source\": 1, \"target\": 8}, {\"weight\": 3457, \"source\": 1, \"target\": 4}, {\"weight\": 9708, \"source\": 1, \"target\": 6}, {\"weight\": 2495, \"source\": 1, \"target\": 7}, {\"weight\": 11691, \"source\": 2, \"target\": 3}, {\"weight\": 8974, \"source\": 2, \"target\": 5}, {\"weight\": 8982, \"source\": 2, \"target\": 8}, {\"weight\": 4979, \"source\": 2, \"target\": 4}, {\"weight\": 8829, \"source\": 2, \"target\": 6}, {\"weight\": 2031, \"source\": 2, \"target\": 7}, {\"weight\": 3555, \"source\": 3, \"target\": 5}, {\"weight\": 4882, \"source\": 3, \"target\": 8}, {\"weight\": 15882, \"source\": 3, \"target\": 4}, {\"weight\": 7971, \"source\": 3, \"target\": 6}, {\"weight\": 10696, \"source\": 3, \"target\": 7}, {\"weight\": 13165, \"source\": 4, \"target\": 5}, {\"weight\": 13165, \"source\": 4, \"target\": 8}, {\"weight\": 13096, \"source\": 4, \"target\": 6}, {\"weight\": 5497, \"source\": 4, \"target\": 7}, {\"weight\": 1400, \"source\": 5, \"target\": 8}, {\"weight\": 4646, \"source\": 5, \"target\": 6}, {\"weight\": 7979, \"source\": 5, \"target\": 7}, {\"weight\": 3874, \"source\": 6, \"target\": 8}, {\"weight\": 8352, \"source\": 6, \"target\": 7}, {\"weight\": 7979, \"source\": 7, \"target\": 8}]}", "id": 1422, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: GLK, SBZ, RLG, ELI, KER, LWS, LYB, OSY, GCC\n- Travel distances (in kilometers) between each pair of airports:\nGLK to RLG: 6894\nGLK to ELI: 17868\nGLK to LWS: 15151\nGLK to GCC: 15151\nGLK to KER: 3730\nGLK to LYB: 14761\nGLK to SBZ: 5440\nGLK to OSY: 7640\nSBZ to RLG: 1592\nSBZ to ELI: 12561\nSBZ to LWS: 9844\nSBZ to GCC: 9837\nSBZ to KER: 3457\nSBZ to LYB: 9708\nSBZ to OSY: 2495\nRLG to ELI: 11691\nRLG to LWS: 8974\nRLG to GCC: 8982\nRLG to KER: 4979\nRLG to LYB: 8829\nRLG to OSY: 2031\nELI to LWS: 3555\nELI to GCC: 4882\nELI to KER: 15882\nELI to LYB: 7971\nELI to OSY: 10696\nKER to LWS: 13165\nKER to GCC: 13165\nKER to LYB: 13096\nKER to OSY: 5497\nLWS to GCC: 1400\nLWS to LYB: 4646\nLWS to OSY: 7979\nLYB to GCC: 3874\nLYB to OSY: 8352\nOSY to GCC: 7979\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: HGN, YNT, OTD, YYH, RAP, KMG, GGG, BDP, YKA\n- Travel distances (in kilometers) between each pair of airports:\nHGN to KMG: 914\nHGN to YYH: 14564\nHGN to OTD: 17679\nHGN to YKA: 11775\nHGN to GGG: 14562\nHGN to RAP: 13615\nHGN to YNT: 3140\nHGN to BDP: 2415\nYNT to KMG: 2276\nYNT to YYH: 11552\nYNT to OTD: 14772\nYNT to YKA: 8763\nYNT to GGG: 11550\nYNT to RAP: 10603\nYNT to BDP: 3825\nOTD to KMG: 16766\nOTD to YYH: 8309\nOTD to YKA: 6361\nOTD to GGG: 3683\nOTD to RAP: 4802\nOTD to BDP: 17015\nYYH to KMG: 13651\nYYH to YKA: 2932\nYYH to GGG: 5084\nYYH to RAP: 4311\nYYH to BDP: 15028\nRAP to KMG: 12702\nRAP to YKA: 2354\nRAP to GGG: 1569\nRAP to BDP: 14079\nKMG to YKA: 10862\nKMG to GGG: 13649\nKMG to BDP: 2053\nGGG to YKA: 3128\nGGG to BDP: 14646\nBDP to YKA: 12239\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 43878, "style": "rule" }	{ "exact_answer": 43878, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HGN\", \"id\": 0}, {\"name\": \"YNT\", \"id\": 1}, {\"name\": \"OTD\", \"id\": 2}, {\"name\": \"YYH\", \"id\": 3}, {\"name\": \"RAP\", \"id\": 4}, {\"name\": \"KMG\", \"id\": 5}, {\"name\": \"GGG\", \"id\": 6}, {\"name\": \"BDP\", \"id\": 7}, {\"name\": \"YKA\", \"id\": 8}], \"links\": [{\"weight\": 914, \"source\": 0, \"target\": 5}, {\"weight\": 14564, \"source\": 0, \"target\": 3}, {\"weight\": 17679, \"source\": 0, \"target\": 2}, {\"weight\": 11775, \"source\": 0, \"target\": 8}, {\"weight\": 14562, \"source\": 0, \"target\": 6}, {\"weight\": 13615, \"source\": 0, \"target\": 4}, {\"weight\": 3140, \"source\": 0, \"target\": 1}, {\"weight\": 2415, \"source\": 0, \"target\": 7}, {\"weight\": 2276, \"source\": 1, \"target\": 5}, {\"weight\": 11552, \"source\": 1, \"target\": 3}, {\"weight\": 14772, \"source\": 1, \"target\": 2}, {\"weight\": 8763, \"source\": 1, \"target\": 8}, {\"weight\": 11550, \"source\": 1, \"target\": 6}, {\"weight\": 10603, \"source\": 1, \"target\": 4}, {\"weight\": 3825, \"source\": 1, \"target\": 7}, {\"weight\": 16766, \"source\": 2, \"target\": 5}, {\"weight\": 8309, \"source\": 2, \"target\": 3}, {\"weight\": 6361, \"source\": 2, \"target\": 8}, {\"weight\": 3683, \"source\": 2, \"target\": 6}, {\"weight\": 4802, \"source\": 2, \"target\": 4}, {\"weight\": 17015, \"source\": 2, \"target\": 7}, {\"weight\": 13651, \"source\": 3, \"target\": 5}, {\"weight\": 2932, \"source\": 3, \"target\": 8}, {\"weight\": 5084, \"source\": 3, \"target\": 6}, {\"weight\": 4311, \"source\": 3, \"target\": 4}, {\"weight\": 15028, \"source\": 3, \"target\": 7}, {\"weight\": 12702, \"source\": 4, \"target\": 5}, {\"weight\": 2354, \"source\": 4, \"target\": 8}, {\"weight\": 1569, \"source\": 4, \"target\": 6}, {\"weight\": 14079, \"source\": 4, \"target\": 7}, {\"weight\": 10862, \"source\": 5, \"target\": 8}, {\"weight\": 13649, \"source\": 5, \"target\": 6}, {\"weight\": 2053, \"source\": 5, \"target\": 7}, {\"weight\": 3128, \"source\": 6, \"target\": 8}, {\"weight\": 14646, \"source\": 6, \"target\": 7}, {\"weight\": 12239, \"source\": 7, \"target\": 8}]}", "id": 1423, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: HGN, YNT, OTD, YYH, RAP, KMG, GGG, BDP, YKA\n- Travel distances (in kilometers) between each pair of airports:\nHGN to KMG: 914\nHGN to YYH: 14564\nHGN to OTD: 17679\nHGN to YKA: 11775\nHGN to GGG: 14562\nHGN to RAP: 13615\nHGN to YNT: 3140\nHGN to BDP: 2415\nYNT to KMG: 2276\nYNT to YYH: 11552\nYNT to OTD: 14772\nYNT to YKA: 8763\nYNT to GGG: 11550\nYNT to RAP: 10603\nYNT to BDP: 3825\nOTD to KMG: 16766\nOTD to YYH: 8309\nOTD to YKA: 6361\nOTD to GGG: 3683\nOTD to RAP: 4802\nOTD to BDP: 17015\nYYH to KMG: 13651\nYYH to YKA: 2932\nYYH to GGG: 5084\nYYH to RAP: 4311\nYYH to BDP: 15028\nRAP to KMG: 12702\nRAP to YKA: 2354\nRAP to GGG: 1569\nRAP to BDP: 14079\nKMG to YKA: 10862\nKMG to GGG: 13649\nKMG to BDP: 2053\nGGG to YKA: 3128\nGGG to BDP: 14646\nBDP to YKA: 12239\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: PNL, JUZ, SRV, YCY, ZNE, SAH, VDM, TAS, KNG\n- Travel distances (in kilometers) between each pair of airports:\nPNL to YCY: 8897\nPNL to SRV: 12642\nPNL to VDM: 12179\nPNL to TAS: 4996\nPNL to JUZ: 10008\nPNL to SAH: 4163\nPNL to KNG: 13764\nPNL to ZNE: 14531\nJUZ to YCY: 14854\nJUZ to SRV: 13164\nJUZ to VDM: 21209\nJUZ to TAS: 5169\nJUZ to SAH: 8229\nJUZ to KNG: 5694\nJUZ to ZNE: 7916\nSRV to YCY: 7966\nSRV to VDM: 14956\nSRV to TAS: 14910\nSRV to SAH: 16146\nSRV to KNG: 17712\nSRV to ZNE: 17319\nYCY to VDM: 13081\nYCY to TAS: 12204\nYCY to SAH: 12563\nYCY to KNG: 19363\nYCY to ZNE: 21417\nZNE to VDM: 17590\nZNE to TAS: 10527\nZNE to SAH: 11649\nZNE to KNG: 5723\nSAH to VDM: 13366\nSAH to TAS: 3783\nSAH to KNG: 10432\nVDM to TAS: 16354\nVDM to KNG: 20130\nTAS to KNG: 9086\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 73941, "style": "rule" }	{ "exact_answer": 73941, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PNL\", \"id\": 0}, {\"name\": \"JUZ\", \"id\": 1}, {\"name\": \"SRV\", \"id\": 2}, {\"name\": \"YCY\", \"id\": 3}, {\"name\": \"ZNE\", \"id\": 4}, {\"name\": \"SAH\", \"id\": 5}, {\"name\": \"VDM\", \"id\": 6}, {\"name\": \"TAS\", \"id\": 7}, {\"name\": \"KNG\", \"id\": 8}], \"links\": [{\"weight\": 8897, \"source\": 0, \"target\": 3}, {\"weight\": 12642, \"source\": 0, \"target\": 2}, {\"weight\": 12179, \"source\": 0, \"target\": 6}, {\"weight\": 4996, \"source\": 0, \"target\": 7}, {\"weight\": 10008, \"source\": 0, \"target\": 1}, {\"weight\": 4163, \"source\": 0, \"target\": 5}, {\"weight\": 13764, \"source\": 0, \"target\": 8}, {\"weight\": 14531, \"source\": 0, \"target\": 4}, {\"weight\": 14854, \"source\": 1, \"target\": 3}, {\"weight\": 13164, \"source\": 1, \"target\": 2}, {\"weight\": 21209, \"source\": 1, \"target\": 6}, {\"weight\": 5169, \"source\": 1, \"target\": 7}, {\"weight\": 8229, \"source\": 1, \"target\": 5}, {\"weight\": 5694, \"source\": 1, \"target\": 8}, {\"weight\": 7916, \"source\": 1, \"target\": 4}, {\"weight\": 7966, \"source\": 2, \"target\": 3}, {\"weight\": 14956, \"source\": 2, \"target\": 6}, {\"weight\": 14910, \"source\": 2, \"target\": 7}, {\"weight\": 16146, \"source\": 2, \"target\": 5}, {\"weight\": 17712, \"source\": 2, \"target\": 8}, {\"weight\": 17319, \"source\": 2, \"target\": 4}, {\"weight\": 13081, \"source\": 3, \"target\": 6}, {\"weight\": 12204, \"source\": 3, \"target\": 7}, {\"weight\": 12563, \"source\": 3, \"target\": 5}, {\"weight\": 19363, \"source\": 3, \"target\": 8}, {\"weight\": 21417, \"source\": 3, \"target\": 4}, {\"weight\": 17590, \"source\": 4, \"target\": 6}, {\"weight\": 10527, \"source\": 4, \"target\": 7}, {\"weight\": 11649, \"source\": 4, \"target\": 5}, {\"weight\": 5723, \"source\": 4, \"target\": 8}, {\"weight\": 13366, \"source\": 5, \"target\": 6}, {\"weight\": 3783, \"source\": 5, \"target\": 7}, {\"weight\": 10432, \"source\": 5, \"target\": 8}, {\"weight\": 16354, \"source\": 6, \"target\": 7}, {\"weight\": 20130, \"source\": 6, \"target\": 8}, {\"weight\": 9086, \"source\": 7, \"target\": 8}]}", "id": 1424, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: PNL, JUZ, SRV, YCY, ZNE, SAH, VDM, TAS, KNG\n- Travel distances (in kilometers) between each pair of airports:\nPNL to YCY: 8897\nPNL to SRV: 12642\nPNL to VDM: 12179\nPNL to TAS: 4996\nPNL to JUZ: 10008\nPNL to SAH: 4163\nPNL to KNG: 13764\nPNL to ZNE: 14531\nJUZ to YCY: 14854\nJUZ to SRV: 13164\nJUZ to VDM: 21209\nJUZ to TAS: 5169\nJUZ to SAH: 8229\nJUZ to KNG: 5694\nJUZ to ZNE: 7916\nSRV to YCY: 7966\nSRV to VDM: 14956\nSRV to TAS: 14910\nSRV to SAH: 16146\nSRV to KNG: 17712\nSRV to ZNE: 17319\nYCY to VDM: 13081\nYCY to TAS: 12204\nYCY to SAH: 12563\nYCY to KNG: 19363\nYCY to ZNE: 21417\nZNE to VDM: 17590\nZNE to TAS: 10527\nZNE to SAH: 11649\nZNE to KNG: 5723\nSAH to VDM: 13366\nSAH to TAS: 3783\nSAH to KNG: 10432\nVDM to TAS: 16354\nVDM to KNG: 20130\nTAS to KNG: 9086\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TLC, CBQ, HOR, MLM, HYA, RMT, NYO, IDR, GRO\n- Travel distances (in kilometers) between each pair of airports:\nTLC to IDR: 15500\nTLC to HYA: 3986\nTLC to MLM: 802\nTLC to NYO: 10464\nTLC to GRO: 10105\nTLC to HOR: 8067\nTLC to RMT: 9785\nTLC to CBQ: 12430\nCBQ to IDR: 8128\nCBQ to HYA: 9220\nCBQ to MLM: 12314\nCBQ to NYO: 6174\nCBQ to GRO: 4372\nCBQ to HOR: 5943\nCBQ to RMT: 18216\nHOR to IDR: 10041\nHOR to HYA: 4218\nHOR to MLM: 7951\nHOR to NYO: 4230\nHOR to GRO: 2976\nHOR to RMT: 15549\nMLM to IDR: 15437\nMLM to HYA: 3870\nMLM to NYO: 10351\nMLM to GRO: 10028\nMLM to RMT: 9589\nHYA to IDR: 12301\nHYA to NYO: 6667\nHYA to GRO: 6324\nHYA to RMT: 11545\nRMT to IDR: 16670\nRMT to NYO: 17189\nRMT to GRO: 17140\nNYO to IDR: 6780\nNYO to GRO: 2131\nIDR to GRO: 7412\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54126, "style": "rule" }	{ "exact_answer": 54126, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TLC\", \"id\": 0}, {\"name\": \"CBQ\", \"id\": 1}, {\"name\": \"HOR\", \"id\": 2}, {\"name\": \"MLM\", \"id\": 3}, {\"name\": \"HYA\", \"id\": 4}, {\"name\": \"RMT\", \"id\": 5}, {\"name\": \"NYO\", \"id\": 6}, {\"name\": \"IDR\", \"id\": 7}, {\"name\": \"GRO\", \"id\": 8}], \"links\": [{\"weight\": 15500, \"source\": 0, \"target\": 7}, {\"weight\": 3986, \"source\": 0, \"target\": 4}, {\"weight\": 802, \"source\": 0, \"target\": 3}, {\"weight\": 10464, \"source\": 0, \"target\": 6}, {\"weight\": 10105, \"source\": 0, \"target\": 8}, {\"weight\": 8067, \"source\": 0, \"target\": 2}, {\"weight\": 9785, \"source\": 0, \"target\": 5}, {\"weight\": 12430, \"source\": 0, \"target\": 1}, {\"weight\": 8128, \"source\": 1, \"target\": 7}, {\"weight\": 9220, \"source\": 1, \"target\": 4}, {\"weight\": 12314, \"source\": 1, \"target\": 3}, {\"weight\": 6174, \"source\": 1, \"target\": 6}, {\"weight\": 4372, \"source\": 1, \"target\": 8}, {\"weight\": 5943, \"source\": 1, \"target\": 2}, {\"weight\": 18216, \"source\": 1, \"target\": 5}, {\"weight\": 10041, \"source\": 2, \"target\": 7}, {\"weight\": 4218, \"source\": 2, \"target\": 4}, {\"weight\": 7951, \"source\": 2, \"target\": 3}, {\"weight\": 4230, \"source\": 2, \"target\": 6}, {\"weight\": 2976, \"source\": 2, \"target\": 8}, {\"weight\": 15549, \"source\": 2, \"target\": 5}, {\"weight\": 15437, \"source\": 3, \"target\": 7}, {\"weight\": 3870, \"source\": 3, \"target\": 4}, {\"weight\": 10351, \"source\": 3, \"target\": 6}, {\"weight\": 10028, \"source\": 3, \"target\": 8}, {\"weight\": 9589, \"source\": 3, \"target\": 5}, {\"weight\": 12301, \"source\": 4, \"target\": 7}, {\"weight\": 6667, \"source\": 4, \"target\": 6}, {\"weight\": 6324, \"source\": 4, \"target\": 8}, {\"weight\": 11545, \"source\": 4, \"target\": 5}, {\"weight\": 16670, \"source\": 5, \"target\": 7}, {\"weight\": 17189, \"source\": 5, \"target\": 6}, {\"weight\": 17140, \"source\": 5, \"target\": 8}, {\"weight\": 6780, \"source\": 6, \"target\": 7}, {\"weight\": 2131, \"source\": 6, \"target\": 8}, {\"weight\": 7412, \"source\": 7, \"target\": 8}]}", "id": 1425, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TLC, CBQ, HOR, MLM, HYA, RMT, NYO, IDR, GRO\n- Travel distances (in kilometers) between each pair of airports:\nTLC to IDR: 15500\nTLC to HYA: 3986\nTLC to MLM: 802\nTLC to NYO: 10464\nTLC to GRO: 10105\nTLC to HOR: 8067\nTLC to RMT: 9785\nTLC to CBQ: 12430\nCBQ to IDR: 8128\nCBQ to HYA: 9220\nCBQ to MLM: 12314\nCBQ to NYO: 6174\nCBQ to GRO: 4372\nCBQ to HOR: 5943\nCBQ to RMT: 18216\nHOR to IDR: 10041\nHOR to HYA: 4218\nHOR to MLM: 7951\nHOR to NYO: 4230\nHOR to GRO: 2976\nHOR to RMT: 15549\nMLM to IDR: 15437\nMLM to HYA: 3870\nMLM to NYO: 10351\nMLM to GRO: 10028\nMLM to RMT: 9589\nHYA to IDR: 12301\nHYA to NYO: 6667\nHYA to GRO: 6324\nHYA to RMT: 11545\nRMT to IDR: 16670\nRMT to NYO: 17189\nRMT to GRO: 17140\nNYO to IDR: 6780\nNYO to GRO: 2131\nIDR to GRO: 7412\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: SBN, FEZ, WUS, RSW, MUE, TAS, MEB, MII, RDU\n- Travel distances (in kilometers) between each pair of airports:\nSBN to RSW: 1742\nSBN to FEZ: 7024\nSBN to RDU: 1057\nSBN to MII: 8648\nSBN to TAS: 10871\nSBN to WUS: 12077\nSBN to MUE: 6984\nSBN to MEB: 16456\nFEZ to RSW: 7774\nFEZ to RDU: 6729\nFEZ to MII: 8137\nFEZ to TAS: 6486\nFEZ to WUS: 11028\nFEZ to MUE: 13876\nFEZ to MEB: 18868\nWUS to RSW: 13749\nWUS to RDU: 12812\nWUS to MII: 18790\nWUS to TAS: 4774\nWUS to MUE: 8760\nWUS to MEB: 8843\nRSW to RDU: 1076\nRSW to MII: 7216\nRSW to TAS: 11994\nRSW to MUE: 7686\nRSW to MEB: 16903\nMUE to RDU: 7716\nMUE to MII: 14400\nMUE to TAS: 12361\nMUE to MEB: 9919\nTAS to RDU: 10952\nTAS to MII: 14275\nTAS to MEB: 12672\nMEB to RDU: 16973\nMEB to MII: 15934\nMII to RDU: 7925\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 54492, "style": "rule" }	{ "exact_answer": 54492, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SBN\", \"id\": 0}, {\"name\": \"FEZ\", \"id\": 1}, {\"name\": \"WUS\", \"id\": 2}, {\"name\": \"RSW\", \"id\": 3}, {\"name\": \"MUE\", \"id\": 4}, {\"name\": \"TAS\", \"id\": 5}, {\"name\": \"MEB\", \"id\": 6}, {\"name\": \"MII\", \"id\": 7}, {\"name\": \"RDU\", \"id\": 8}], \"links\": [{\"weight\": 1742, \"source\": 0, \"target\": 3}, {\"weight\": 7024, \"source\": 0, \"target\": 1}, {\"weight\": 1057, \"source\": 0, \"target\": 8}, {\"weight\": 8648, \"source\": 0, \"target\": 7}, {\"weight\": 10871, \"source\": 0, \"target\": 5}, {\"weight\": 12077, \"source\": 0, \"target\": 2}, {\"weight\": 6984, \"source\": 0, \"target\": 4}, {\"weight\": 16456, \"source\": 0, \"target\": 6}, {\"weight\": 7774, \"source\": 1, \"target\": 3}, {\"weight\": 6729, \"source\": 1, \"target\": 8}, {\"weight\": 8137, \"source\": 1, \"target\": 7}, {\"weight\": 6486, \"source\": 1, \"target\": 5}, {\"weight\": 11028, \"source\": 1, \"target\": 2}, {\"weight\": 13876, \"source\": 1, \"target\": 4}, {\"weight\": 18868, \"source\": 1, \"target\": 6}, {\"weight\": 13749, \"source\": 2, \"target\": 3}, {\"weight\": 12812, \"source\": 2, \"target\": 8}, {\"weight\": 18790, \"source\": 2, \"target\": 7}, {\"weight\": 4774, \"source\": 2, \"target\": 5}, {\"weight\": 8760, \"source\": 2, \"target\": 4}, {\"weight\": 8843, \"source\": 2, \"target\": 6}, {\"weight\": 1076, \"source\": 3, \"target\": 8}, {\"weight\": 7216, \"source\": 3, \"target\": 7}, {\"weight\": 11994, \"source\": 3, \"target\": 5}, {\"weight\": 7686, \"source\": 3, \"target\": 4}, {\"weight\": 16903, \"source\": 3, \"target\": 6}, {\"weight\": 7716, \"source\": 4, \"target\": 8}, {\"weight\": 14400, \"source\": 4, \"target\": 7}, {\"weight\": 12361, \"source\": 4, \"target\": 5}, {\"weight\": 9919, \"source\": 4, \"target\": 6}, {\"weight\": 10952, \"source\": 5, \"target\": 8}, {\"weight\": 14275, \"source\": 5, \"target\": 7}, {\"weight\": 12672, \"source\": 5, \"target\": 6}, {\"weight\": 16973, \"source\": 6, \"target\": 8}, {\"weight\": 15934, \"source\": 6, \"target\": 7}, {\"weight\": 7925, \"source\": 7, \"target\": 8}]}", "id": 1426, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: SBN, FEZ, WUS, RSW, MUE, TAS, MEB, MII, RDU\n- Travel distances (in kilometers) between each pair of airports:\nSBN to RSW: 1742\nSBN to FEZ: 7024\nSBN to RDU: 1057\nSBN to MII: 8648\nSBN to TAS: 10871\nSBN to WUS: 12077\nSBN to MUE: 6984\nSBN to MEB: 16456\nFEZ to RSW: 7774\nFEZ to RDU: 6729\nFEZ to MII: 8137\nFEZ to TAS: 6486\nFEZ to WUS: 11028\nFEZ to MUE: 13876\nFEZ to MEB: 18868\nWUS to RSW: 13749\nWUS to RDU: 12812\nWUS to MII: 18790\nWUS to TAS: 4774\nWUS to MUE: 8760\nWUS to MEB: 8843\nRSW to RDU: 1076\nRSW to MII: 7216\nRSW to TAS: 11994\nRSW to MUE: 7686\nRSW to MEB: 16903\nMUE to RDU: 7716\nMUE to MII: 14400\nMUE to TAS: 12361\nMUE to MEB: 9919\nTAS to RDU: 10952\nTAS to MII: 14275\nTAS to MEB: 12672\nMEB to RDU: 16973\nMEB to MII: 15934\nMII to RDU: 7925\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BSA, GOH, OZC, ORH, LUQ, HBX, ULK, THL, PWE\n- Travel distances (in kilometers) between each pair of airports:\nBSA to ULK: 11163\nBSA to OZC: 9777\nBSA to THL: 7048\nBSA to LUQ: 13560\nBSA to ORH: 15349\nBSA to GOH: 9788\nBSA to PWE: 11328\nBSA to HBX: 4269\nGOH to ULK: 12223\nGOH to OZC: 13566\nGOH to THL: 11969\nGOH to LUQ: 15027\nGOH to ORH: 8836\nGOH to PWE: 10348\nGOH to HBX: 10417\nOZC to ULK: 8928\nOZC to THL: 4124\nOZC to LUQ: 19545\nOZC to ORH: 16924\nOZC to PWE: 14729\nOZC to HBX: 5838\nORH to ULK: 18259\nORH to THL: 17265\nORH to LUQ: 10010\nORH to PWE: 16358\nORH to HBX: 16288\nLUQ to ULK: 22041\nLUQ to THL: 19454\nLUQ to PWE: 19778\nLUQ to HBX: 16675\nHBX to ULK: 9549\nHBX to THL: 3545\nHBX to PWE: 11443\nULK to THL: 8613\nULK to PWE: 13457\nTHL to PWE: 12871\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 77077, "style": "rule" }	{ "exact_answer": 77077, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BSA\", \"id\": 0}, {\"name\": \"GOH\", \"id\": 1}, {\"name\": \"OZC\", \"id\": 2}, {\"name\": \"ORH\", \"id\": 3}, {\"name\": \"LUQ\", \"id\": 4}, {\"name\": \"HBX\", \"id\": 5}, {\"name\": \"ULK\", \"id\": 6}, {\"name\": \"THL\", \"id\": 7}, {\"name\": \"PWE\", \"id\": 8}], \"links\": [{\"weight\": 11163, \"source\": 0, \"target\": 6}, {\"weight\": 9777, \"source\": 0, \"target\": 2}, {\"weight\": 7048, \"source\": 0, \"target\": 7}, {\"weight\": 13560, \"source\": 0, \"target\": 4}, {\"weight\": 15349, \"source\": 0, \"target\": 3}, {\"weight\": 9788, \"source\": 0, \"target\": 1}, {\"weight\": 11328, \"source\": 0, \"target\": 8}, {\"weight\": 4269, \"source\": 0, \"target\": 5}, {\"weight\": 12223, \"source\": 1, \"target\": 6}, {\"weight\": 13566, \"source\": 1, \"target\": 2}, {\"weight\": 11969, \"source\": 1, \"target\": 7}, {\"weight\": 15027, \"source\": 1, \"target\": 4}, {\"weight\": 8836, \"source\": 1, \"target\": 3}, {\"weight\": 10348, \"source\": 1, \"target\": 8}, {\"weight\": 10417, \"source\": 1, \"target\": 5}, {\"weight\": 8928, \"source\": 2, \"target\": 6}, {\"weight\": 4124, \"source\": 2, \"target\": 7}, {\"weight\": 19545, \"source\": 2, \"target\": 4}, {\"weight\": 16924, \"source\": 2, \"target\": 3}, {\"weight\": 14729, \"source\": 2, \"target\": 8}, {\"weight\": 5838, \"source\": 2, \"target\": 5}, {\"weight\": 18259, \"source\": 3, \"target\": 6}, {\"weight\": 17265, \"source\": 3, \"target\": 7}, {\"weight\": 10010, \"source\": 3, \"target\": 4}, {\"weight\": 16358, \"source\": 3, \"target\": 8}, {\"weight\": 16288, \"source\": 3, \"target\": 5}, {\"weight\": 22041, \"source\": 4, \"target\": 6}, {\"weight\": 19454, \"source\": 4, \"target\": 7}, {\"weight\": 19778, \"source\": 4, \"target\": 8}, {\"weight\": 16675, \"source\": 4, \"target\": 5}, {\"weight\": 9549, \"source\": 5, \"target\": 6}, {\"weight\": 3545, \"source\": 5, \"target\": 7}, {\"weight\": 11443, \"source\": 5, \"target\": 8}, {\"weight\": 8613, \"source\": 6, \"target\": 7}, {\"weight\": 13457, \"source\": 6, \"target\": 8}, {\"weight\": 12871, \"source\": 7, \"target\": 8}]}", "id": 1427, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BSA, GOH, OZC, ORH, LUQ, HBX, ULK, THL, PWE\n- Travel distances (in kilometers) between each pair of airports:\nBSA to ULK: 11163\nBSA to OZC: 9777\nBSA to THL: 7048\nBSA to LUQ: 13560\nBSA to ORH: 15349\nBSA to GOH: 9788\nBSA to PWE: 11328\nBSA to HBX: 4269\nGOH to ULK: 12223\nGOH to OZC: 13566\nGOH to THL: 11969\nGOH to LUQ: 15027\nGOH to ORH: 8836\nGOH to PWE: 10348\nGOH to HBX: 10417\nOZC to ULK: 8928\nOZC to THL: 4124\nOZC to LUQ: 19545\nOZC to ORH: 16924\nOZC to PWE: 14729\nOZC to HBX: 5838\nORH to ULK: 18259\nORH to THL: 17265\nORH to LUQ: 10010\nORH to PWE: 16358\nORH to HBX: 16288\nLUQ to ULK: 22041\nLUQ to THL: 19454\nLUQ to PWE: 19778\nLUQ to HBX: 16675\nHBX to ULK: 9549\nHBX to THL: 3545\nHBX to PWE: 11443\nULK to THL: 8613\nULK to PWE: 13457\nTHL to PWE: 12871\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TGU, PSJ, TGR, TRK, CGA, DPO, SJL, SKT, SMF\n- Travel distances (in kilometers) between each pair of airports:\nTGU to CGA: 6152\nTGU to SMF: 4473\nTGU to SJL: 4505\nTGU to TGR: 9758\nTGU to SKT: 14551\nTGU to TRK: 17144\nTGU to PSJ: 18525\nTGU to DPO: 17060\nPSJ to CGA: 14779\nPSJ to SMF: 14259\nPSJ to SJL: 22043\nPSJ to TGR: 13667\nPSJ to SKT: 7312\nPSJ to TRK: 1381\nPSJ to DPO: 5849\nTGR to CGA: 10992\nTGR to SMF: 10716\nTGR to SJL: 10137\nTGR to SKT: 6878\nTGR to TRK: 12663\nTGR to DPO: 17580\nTRK to CGA: 13398\nTRK to SMF: 12878\nTRK to SJL: 21354\nTRK to SKT: 6157\nTRK to DPO: 6161\nCGA to SMF: 2158\nCGA to SJL: 10396\nCGA to SKT: 13938\nCGA to DPO: 14775\nDPO to SMF: 13202\nDPO to SJL: 18723\nDPO to SKT: 11459\nSJL to SMF: 8822\nSJL to SKT: 16052\nSKT to SMF: 13707\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 56313, "style": "rule" }	{ "exact_answer": 56313, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TGU\", \"id\": 0}, {\"name\": \"PSJ\", \"id\": 1}, {\"name\": \"TGR\", \"id\": 2}, {\"name\": \"TRK\", \"id\": 3}, {\"name\": \"CGA\", \"id\": 4}, {\"name\": \"DPO\", \"id\": 5}, {\"name\": \"SJL\", \"id\": 6}, {\"name\": \"SKT\", \"id\": 7}, {\"name\": \"SMF\", \"id\": 8}], \"links\": [{\"weight\": 6152, \"source\": 0, \"target\": 4}, {\"weight\": 4473, \"source\": 0, \"target\": 8}, {\"weight\": 4505, \"source\": 0, \"target\": 6}, {\"weight\": 9758, \"source\": 0, \"target\": 2}, {\"weight\": 14551, \"source\": 0, \"target\": 7}, {\"weight\": 17144, \"source\": 0, \"target\": 3}, {\"weight\": 18525, \"source\": 0, \"target\": 1}, {\"weight\": 17060, \"source\": 0, \"target\": 5}, {\"weight\": 14779, \"source\": 1, \"target\": 4}, {\"weight\": 14259, \"source\": 1, \"target\": 8}, {\"weight\": 22043, \"source\": 1, \"target\": 6}, {\"weight\": 13667, \"source\": 1, \"target\": 2}, {\"weight\": 7312, \"source\": 1, \"target\": 7}, {\"weight\": 1381, \"source\": 1, \"target\": 3}, {\"weight\": 5849, \"source\": 1, \"target\": 5}, {\"weight\": 10992, \"source\": 2, \"target\": 4}, {\"weight\": 10716, \"source\": 2, \"target\": 8}, {\"weight\": 10137, \"source\": 2, \"target\": 6}, {\"weight\": 6878, \"source\": 2, \"target\": 7}, {\"weight\": 12663, \"source\": 2, \"target\": 3}, {\"weight\": 17580, \"source\": 2, \"target\": 5}, {\"weight\": 13398, \"source\": 3, \"target\": 4}, {\"weight\": 12878, \"source\": 3, \"target\": 8}, {\"weight\": 21354, \"source\": 3, \"target\": 6}, {\"weight\": 6157, \"source\": 3, \"target\": 7}, {\"weight\": 6161, \"source\": 3, \"target\": 5}, {\"weight\": 2158, \"source\": 4, \"target\": 8}, {\"weight\": 10396, \"source\": 4, \"target\": 6}, {\"weight\": 13938, \"source\": 4, \"target\": 7}, {\"weight\": 14775, \"source\": 4, \"target\": 5}, {\"weight\": 13202, \"source\": 5, \"target\": 8}, {\"weight\": 18723, \"source\": 5, \"target\": 6}, {\"weight\": 11459, \"source\": 5, \"target\": 7}, {\"weight\": 8822, \"source\": 6, \"target\": 8}, {\"weight\": 16052, \"source\": 6, \"target\": 7}, {\"weight\": 13707, \"source\": 7, \"target\": 8}]}", "id": 1428, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: TGU, PSJ, TGR, TRK, CGA, DPO, SJL, SKT, SMF\n- Travel distances (in kilometers) between each pair of airports:\nTGU to CGA: 6152\nTGU to SMF: 4473\nTGU to SJL: 4505\nTGU to TGR: 9758\nTGU to SKT: 14551\nTGU to TRK: 17144\nTGU to PSJ: 18525\nTGU to DPO: 17060\nPSJ to CGA: 14779\nPSJ to SMF: 14259\nPSJ to SJL: 22043\nPSJ to TGR: 13667\nPSJ to SKT: 7312\nPSJ to TRK: 1381\nPSJ to DPO: 5849\nTGR to CGA: 10992\nTGR to SMF: 10716\nTGR to SJL: 10137\nTGR to SKT: 6878\nTGR to TRK: 12663\nTGR to DPO: 17580\nTRK to CGA: 13398\nTRK to SMF: 12878\nTRK to SJL: 21354\nTRK to SKT: 6157\nTRK to DPO: 6161\nCGA to SMF: 2158\nCGA to SJL: 10396\nCGA to SKT: 13938\nCGA to DPO: 14775\nDPO to SMF: 13202\nDPO to SJL: 18723\nDPO to SKT: 11459\nSJL to SMF: 8822\nSJL to SKT: 16052\nSKT to SMF: 13707\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KTL, HRL, RIC, CME, YGK, JGA, EUN, ALW, TMI\n- Travel distances (in kilometers) between each pair of airports:\nKTL to CME: 16246\nKTL to RIC: 13376\nKTL to YGK: 13556\nKTL to JGA: 5717\nKTL to ALW: 15640\nKTL to EUN: 8252\nKTL to HRL: 15412\nKTL to TMI: 7026\nHRL to CME: 1784\nHRL to RIC: 2334\nHRL to YGK: 2785\nHRL to JGA: 15547\nHRL to ALW: 3571\nHRL to EUN: 8635\nHRL to TMI: 14985\nRIC to CME: 3168\nRIC to YGK: 966\nRIC to JGA: 13459\nRIC to ALW: 4133\nRIC to EUN: 6366\nRIC to TMI: 13208\nCME to YGK: 3619\nCME to JGA: 16381\nCME to ALW: 4663\nCME to EUN: 9480\nCME to TMI: 15819\nYGK to JGA: 13262\nYGK to ALW: 3897\nYGK to EUN: 6522\nYGK to TMI: 12914\nJGA to ALW: 14274\nJGA to EUN: 9349\nJGA to TMI: 2245\nEUN to ALW: 9919\nEUN to TMI: 9670\nALW to TMI: 12399\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 44624, "style": "rule" }	{ "exact_answer": 44624, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KTL\", \"id\": 0}, {\"name\": \"HRL\", \"id\": 1}, {\"name\": \"RIC\", \"id\": 2}, {\"name\": \"CME\", \"id\": 3}, {\"name\": \"YGK\", \"id\": 4}, {\"name\": \"JGA\", \"id\": 5}, {\"name\": \"EUN\", \"id\": 6}, {\"name\": \"ALW\", \"id\": 7}, {\"name\": \"TMI\", \"id\": 8}], \"links\": [{\"weight\": 16246, \"source\": 0, \"target\": 3}, {\"weight\": 13376, \"source\": 0, \"target\": 2}, {\"weight\": 13556, \"source\": 0, \"target\": 4}, {\"weight\": 5717, \"source\": 0, \"target\": 5}, {\"weight\": 15640, \"source\": 0, \"target\": 7}, {\"weight\": 8252, \"source\": 0, \"target\": 6}, {\"weight\": 15412, \"source\": 0, \"target\": 1}, {\"weight\": 7026, \"source\": 0, \"target\": 8}, {\"weight\": 1784, \"source\": 1, \"target\": 3}, {\"weight\": 2334, \"source\": 1, \"target\": 2}, {\"weight\": 2785, \"source\": 1, \"target\": 4}, {\"weight\": 15547, \"source\": 1, \"target\": 5}, {\"weight\": 3571, \"source\": 1, \"target\": 7}, {\"weight\": 8635, \"source\": 1, \"target\": 6}, {\"weight\": 14985, \"source\": 1, \"target\": 8}, {\"weight\": 3168, \"source\": 2, \"target\": 3}, {\"weight\": 966, \"source\": 2, \"target\": 4}, {\"weight\": 13459, \"source\": 2, \"target\": 5}, {\"weight\": 4133, \"source\": 2, \"target\": 7}, {\"weight\": 6366, \"source\": 2, \"target\": 6}, {\"weight\": 13208, \"source\": 2, \"target\": 8}, {\"weight\": 3619, \"source\": 3, \"target\": 4}, {\"weight\": 16381, \"source\": 3, \"target\": 5}, {\"weight\": 4663, \"source\": 3, \"target\": 7}, {\"weight\": 9480, \"source\": 3, \"target\": 6}, {\"weight\": 15819, \"source\": 3, \"target\": 8}, {\"weight\": 13262, \"source\": 4, \"target\": 5}, {\"weight\": 3897, \"source\": 4, \"target\": 7}, {\"weight\": 6522, \"source\": 4, \"target\": 6}, {\"weight\": 12914, \"source\": 4, \"target\": 8}, {\"weight\": 14274, \"source\": 5, \"target\": 7}, {\"weight\": 9349, \"source\": 5, \"target\": 6}, {\"weight\": 2245, \"source\": 5, \"target\": 8}, {\"weight\": 9919, \"source\": 6, \"target\": 7}, {\"weight\": 9670, \"source\": 6, \"target\": 8}, {\"weight\": 12399, \"source\": 7, \"target\": 8}]}", "id": 1429, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KTL, HRL, RIC, CME, YGK, JGA, EUN, ALW, TMI\n- Travel distances (in kilometers) between each pair of airports:\nKTL to CME: 16246\nKTL to RIC: 13376\nKTL to YGK: 13556\nKTL to JGA: 5717\nKTL to ALW: 15640\nKTL to EUN: 8252\nKTL to HRL: 15412\nKTL to TMI: 7026\nHRL to CME: 1784\nHRL to RIC: 2334\nHRL to YGK: 2785\nHRL to JGA: 15547\nHRL to ALW: 3571\nHRL to EUN: 8635\nHRL to TMI: 14985\nRIC to CME: 3168\nRIC to YGK: 966\nRIC to JGA: 13459\nRIC to ALW: 4133\nRIC to EUN: 6366\nRIC to TMI: 13208\nCME to YGK: 3619\nCME to JGA: 16381\nCME to ALW: 4663\nCME to EUN: 9480\nCME to TMI: 15819\nYGK to JGA: 13262\nYGK to ALW: 3897\nYGK to EUN: 6522\nYGK to TMI: 12914\nJGA to ALW: 14274\nJGA to EUN: 9349\nJGA to TMI: 2245\nEUN to ALW: 9919\nEUN to TMI: 9670\nALW to TMI: 12399\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: AZI, THX, JIB, PSE, DBO, VTZ, YBX, BLI, SJZ\n- Travel distances (in kilometers) between each pair of airports:\nAZI to JIB: 2121\nAZI to VTZ: 3157\nAZI to BLI: 12206\nAZI to PSE: 13739\nAZI to YBX: 9899\nAZI to DBO: 12230\nAZI to SJZ: 7885\nAZI to THX: 5774\nTHX to JIB: 7637\nTHX to VTZ: 6086\nTHX to BLI: 12431\nTHX to PSE: 14165\nTHX to YBX: 11038\nTHX to DBO: 12874\nTHX to SJZ: 9490\nJIB to VTZ: 4618\nJIB to BLI: 13661\nJIB to PSE: 14033\nJIB to YBX: 10213\nJIB to DBO: 13562\nJIB to SJZ: 7798\nPSE to VTZ: 15720\nPSE to BLI: 6151\nPSE to YBX: 4586\nPSE to DBO: 17595\nPSE to SJZ: 6992\nDBO to VTZ: 9405\nDBO to BLI: 12848\nDBO to YBX: 17773\nDBO to SJZ: 19857\nVTZ to BLI: 13191\nVTZ to YBX: 12363\nVTZ to SJZ: 10686\nYBX to BLI: 5320\nYBX to SJZ: 5931\nBLI to SJZ: 8207\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 60700, "style": "rule" }	{ "exact_answer": 60700, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AZI\", \"id\": 0}, {\"name\": \"THX\", \"id\": 1}, {\"name\": \"JIB\", \"id\": 2}, {\"name\": \"PSE\", \"id\": 3}, {\"name\": \"DBO\", \"id\": 4}, {\"name\": \"VTZ\", \"id\": 5}, {\"name\": \"YBX\", \"id\": 6}, {\"name\": \"BLI\", \"id\": 7}, {\"name\": \"SJZ\", \"id\": 8}], \"links\": [{\"weight\": 2121, \"source\": 0, \"target\": 2}, {\"weight\": 3157, \"source\": 0, \"target\": 5}, {\"weight\": 12206, \"source\": 0, \"target\": 7}, {\"weight\": 13739, \"source\": 0, \"target\": 3}, {\"weight\": 9899, \"source\": 0, \"target\": 6}, {\"weight\": 12230, \"source\": 0, \"target\": 4}, {\"weight\": 7885, \"source\": 0, \"target\": 8}, {\"weight\": 5774, \"source\": 0, \"target\": 1}, {\"weight\": 7637, \"source\": 1, \"target\": 2}, {\"weight\": 6086, \"source\": 1, \"target\": 5}, {\"weight\": 12431, \"source\": 1, \"target\": 7}, {\"weight\": 14165, \"source\": 1, \"target\": 3}, {\"weight\": 11038, \"source\": 1, \"target\": 6}, {\"weight\": 12874, \"source\": 1, \"target\": 4}, {\"weight\": 9490, \"source\": 1, \"target\": 8}, {\"weight\": 4618, \"source\": 2, \"target\": 5}, {\"weight\": 13661, \"source\": 2, \"target\": 7}, {\"weight\": 14033, \"source\": 2, \"target\": 3}, {\"weight\": 10213, \"source\": 2, \"target\": 6}, {\"weight\": 13562, \"source\": 2, \"target\": 4}, {\"weight\": 7798, \"source\": 2, \"target\": 8}, {\"weight\": 15720, \"source\": 3, \"target\": 5}, {\"weight\": 6151, \"source\": 3, \"target\": 7}, {\"weight\": 4586, \"source\": 3, \"target\": 6}, {\"weight\": 17595, \"source\": 3, \"target\": 4}, {\"weight\": 6992, \"source\": 3, \"target\": 8}, {\"weight\": 9405, \"source\": 4, \"target\": 5}, {\"weight\": 12848, \"source\": 4, \"target\": 7}, {\"weight\": 17773, \"source\": 4, \"target\": 6}, {\"weight\": 19857, \"source\": 4, \"target\": 8}, {\"weight\": 13191, \"source\": 5, \"target\": 7}, {\"weight\": 12363, \"source\": 5, \"target\": 6}, {\"weight\": 10686, \"source\": 5, \"target\": 8}, {\"weight\": 5320, \"source\": 6, \"target\": 7}, {\"weight\": 5931, \"source\": 6, \"target\": 8}, {\"weight\": 8207, \"source\": 7, \"target\": 8}]}", "id": 1430, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: AZI, THX, JIB, PSE, DBO, VTZ, YBX, BLI, SJZ\n- Travel distances (in kilometers) between each pair of airports:\nAZI to JIB: 2121\nAZI to VTZ: 3157\nAZI to BLI: 12206\nAZI to PSE: 13739\nAZI to YBX: 9899\nAZI to DBO: 12230\nAZI to SJZ: 7885\nAZI to THX: 5774\nTHX to JIB: 7637\nTHX to VTZ: 6086\nTHX to BLI: 12431\nTHX to PSE: 14165\nTHX to YBX: 11038\nTHX to DBO: 12874\nTHX to SJZ: 9490\nJIB to VTZ: 4618\nJIB to BLI: 13661\nJIB to PSE: 14033\nJIB to YBX: 10213\nJIB to DBO: 13562\nJIB to SJZ: 7798\nPSE to VTZ: 15720\nPSE to BLI: 6151\nPSE to YBX: 4586\nPSE to DBO: 17595\nPSE to SJZ: 6992\nDBO to VTZ: 9405\nDBO to BLI: 12848\nDBO to YBX: 17773\nDBO to SJZ: 19857\nVTZ to BLI: 13191\nVTZ to YBX: 12363\nVTZ to SJZ: 10686\nYBX to BLI: 5320\nYBX to SJZ: 5931\nBLI to SJZ: 8207\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BXR, DMD, SEN, KRT, YPC, RNN, CMU, FSP, POG\n- Travel distances (in kilometers) between each pair of airports:\nBXR to YPC: 14621\nBXR to KRT: 3901\nBXR to RNN: 5197\nBXR to POG: 8150\nBXR to SEN: 5539\nBXR to FSP: 9541\nBXR to CMU: 12869\nBXR to DMD: 12716\nDMD to YPC: 17134\nDMD to KRT: 13180\nDMD to RNN: 14756\nDMD to POG: 16082\nDMD to SEN: 15498\nDMD to FSP: 18711\nDMD to CMU: 2176\nSEN to YPC: 9398\nSEN to KRT: 5090\nSEN to RNN: 1069\nSEN to POG: 7192\nSEN to FSP: 4650\nSEN to CMU: 15080\nKRT to YPC: 14382\nKRT to RNN: 4962\nKRT to POG: 4588\nKRT to FSP: 9141\nKRT to CMU: 13621\nYPC to RNN: 9748\nYPC to POG: 15730\nYPC to FSP: 6127\nYPC to CMU: 16256\nRNN to POG: 7586\nRNN to FSP: 5115\nRNN to CMU: 14338\nCMU to POG: 16549\nCMU to FSP: 17559\nFSP to POG: 10963\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 59069, "style": "rule" }	{ "exact_answer": 59069, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BXR\", \"id\": 0}, {\"name\": \"DMD\", \"id\": 1}, {\"name\": \"SEN\", \"id\": 2}, {\"name\": \"KRT\", \"id\": 3}, {\"name\": \"YPC\", \"id\": 4}, {\"name\": \"RNN\", \"id\": 5}, {\"name\": \"CMU\", \"id\": 6}, {\"name\": \"FSP\", \"id\": 7}, {\"name\": \"POG\", \"id\": 8}], \"links\": [{\"weight\": 14621, \"source\": 0, \"target\": 4}, {\"weight\": 3901, \"source\": 0, \"target\": 3}, {\"weight\": 5197, \"source\": 0, \"target\": 5}, {\"weight\": 8150, \"source\": 0, \"target\": 8}, {\"weight\": 5539, \"source\": 0, \"target\": 2}, {\"weight\": 9541, \"source\": 0, \"target\": 7}, {\"weight\": 12869, \"source\": 0, \"target\": 6}, {\"weight\": 12716, \"source\": 0, \"target\": 1}, {\"weight\": 17134, \"source\": 1, \"target\": 4}, {\"weight\": 13180, \"source\": 1, \"target\": 3}, {\"weight\": 14756, \"source\": 1, \"target\": 5}, {\"weight\": 16082, \"source\": 1, \"target\": 8}, {\"weight\": 15498, \"source\": 1, \"target\": 2}, {\"weight\": 18711, \"source\": 1, \"target\": 7}, {\"weight\": 2176, \"source\": 1, \"target\": 6}, {\"weight\": 9398, \"source\": 2, \"target\": 4}, {\"weight\": 5090, \"source\": 2, \"target\": 3}, {\"weight\": 1069, \"source\": 2, \"target\": 5}, {\"weight\": 7192, \"source\": 2, \"target\": 8}, {\"weight\": 4650, \"source\": 2, \"target\": 7}, {\"weight\": 15080, \"source\": 2, \"target\": 6}, {\"weight\": 14382, \"source\": 3, \"target\": 4}, {\"weight\": 4962, \"source\": 3, \"target\": 5}, {\"weight\": 4588, \"source\": 3, \"target\": 8}, {\"weight\": 9141, \"source\": 3, \"target\": 7}, {\"weight\": 13621, \"source\": 3, \"target\": 6}, {\"weight\": 9748, \"source\": 4, \"target\": 5}, {\"weight\": 15730, \"source\": 4, \"target\": 8}, {\"weight\": 6127, \"source\": 4, \"target\": 7}, {\"weight\": 16256, \"source\": 4, \"target\": 6}, {\"weight\": 7586, \"source\": 5, \"target\": 8}, {\"weight\": 5115, \"source\": 5, \"target\": 7}, {\"weight\": 14338, \"source\": 5, \"target\": 6}, {\"weight\": 16549, \"source\": 6, \"target\": 8}, {\"weight\": 17559, \"source\": 6, \"target\": 7}, {\"weight\": 10963, \"source\": 7, \"target\": 8}]}", "id": 1431, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: BXR, DMD, SEN, KRT, YPC, RNN, CMU, FSP, POG\n- Travel distances (in kilometers) between each pair of airports:\nBXR to YPC: 14621\nBXR to KRT: 3901\nBXR to RNN: 5197\nBXR to POG: 8150\nBXR to SEN: 5539\nBXR to FSP: 9541\nBXR to CMU: 12869\nBXR to DMD: 12716\nDMD to YPC: 17134\nDMD to KRT: 13180\nDMD to RNN: 14756\nDMD to POG: 16082\nDMD to SEN: 15498\nDMD to FSP: 18711\nDMD to CMU: 2176\nSEN to YPC: 9398\nSEN to KRT: 5090\nSEN to RNN: 1069\nSEN to POG: 7192\nSEN to FSP: 4650\nSEN to CMU: 15080\nKRT to YPC: 14382\nKRT to RNN: 4962\nKRT to POG: 4588\nKRT to FSP: 9141\nKRT to CMU: 13621\nYPC to RNN: 9748\nYPC to POG: 15730\nYPC to FSP: 6127\nYPC to CMU: 16256\nRNN to POG: 7586\nRNN to FSP: 5115\nRNN to CMU: 14338\nCMU to POG: 16549\nCMU to FSP: 17559\nFSP to POG: 10963\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: URE, CGA, COS, ABS, MMK, BDP, YUL, YZT, TKD\n- Travel distances (in kilometers) between each pair of airports:\nURE to CGA: 9675\nURE to YUL: 6963\nURE to MMK: 1500\nURE to YZT: 8752\nURE to COS: 8524\nURE to ABS: 4400\nURE to TKD: 6748\nURE to BDP: 6498\nCGA to YUL: 4913\nCGA to MMK: 9954\nCGA to YZT: 1728\nCGA to COS: 2898\nCGA to ABS: 13211\nCGA to TKD: 13483\nCGA to BDP: 13352\nCOS to YUL: 2662\nCOS to MMK: 8803\nCOS to YZT: 2247\nCOS to ABS: 12040\nCOS to TKD: 11063\nCOS to BDP: 13884\nABS to YUL: 9642\nABS to MMK: 5250\nABS to YZT: 12217\nABS to TKD: 5388\nABS to BDP: 5896\nMMK to YUL: 7242\nMMK to YZT: 9031\nMMK to TKD: 7758\nMMK to BDP: 6916\nBDP to YUL: 12976\nBDP to YZT: 12323\nBDP to TKD: 9768\nYUL to YZT: 4022\nYUL to TKD: 8844\nYZT to TKD: 12685\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 44445, "style": "rule" }	{ "exact_answer": 44445, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"URE\", \"id\": 0}, {\"name\": \"CGA\", \"id\": 1}, {\"name\": \"COS\", \"id\": 2}, {\"name\": \"ABS\", \"id\": 3}, {\"name\": \"MMK\", \"id\": 4}, {\"name\": \"BDP\", \"id\": 5}, {\"name\": \"YUL\", \"id\": 6}, {\"name\": \"YZT\", \"id\": 7}, {\"name\": \"TKD\", \"id\": 8}], \"links\": [{\"weight\": 9675, \"source\": 0, \"target\": 1}, {\"weight\": 6963, \"source\": 0, \"target\": 6}, {\"weight\": 1500, \"source\": 0, \"target\": 4}, {\"weight\": 8752, \"source\": 0, \"target\": 7}, {\"weight\": 8524, \"source\": 0, \"target\": 2}, {\"weight\": 4400, \"source\": 0, \"target\": 3}, {\"weight\": 6748, \"source\": 0, \"target\": 8}, {\"weight\": 6498, \"source\": 0, \"target\": 5}, {\"weight\": 4913, \"source\": 1, \"target\": 6}, {\"weight\": 9954, \"source\": 1, \"target\": 4}, {\"weight\": 1728, \"source\": 1, \"target\": 7}, {\"weight\": 2898, \"source\": 1, \"target\": 2}, {\"weight\": 13211, \"source\": 1, \"target\": 3}, {\"weight\": 13483, \"source\": 1, \"target\": 8}, {\"weight\": 13352, \"source\": 1, \"target\": 5}, {\"weight\": 2662, \"source\": 2, \"target\": 6}, {\"weight\": 8803, \"source\": 2, \"target\": 4}, {\"weight\": 2247, \"source\": 2, \"target\": 7}, {\"weight\": 12040, \"source\": 2, \"target\": 3}, {\"weight\": 11063, \"source\": 2, \"target\": 8}, {\"weight\": 13884, \"source\": 2, \"target\": 5}, {\"weight\": 9642, \"source\": 3, \"target\": 6}, {\"weight\": 5250, \"source\": 3, \"target\": 4}, {\"weight\": 12217, \"source\": 3, \"target\": 7}, {\"weight\": 5388, \"source\": 3, \"target\": 8}, {\"weight\": 5896, \"source\": 3, \"target\": 5}, {\"weight\": 7242, \"source\": 4, \"target\": 6}, {\"weight\": 9031, \"source\": 4, \"target\": 7}, {\"weight\": 7758, \"source\": 4, \"target\": 8}, {\"weight\": 6916, \"source\": 4, \"target\": 5}, {\"weight\": 12976, \"source\": 5, \"target\": 6}, {\"weight\": 12323, \"source\": 5, \"target\": 7}, {\"weight\": 9768, \"source\": 5, \"target\": 8}, {\"weight\": 4022, \"source\": 6, \"target\": 7}, {\"weight\": 8844, \"source\": 6, \"target\": 8}, {\"weight\": 12685, \"source\": 7, \"target\": 8}]}", "id": 1432, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: URE, CGA, COS, ABS, MMK, BDP, YUL, YZT, TKD\n- Travel distances (in kilometers) between each pair of airports:\nURE to CGA: 9675\nURE to YUL: 6963\nURE to MMK: 1500\nURE to YZT: 8752\nURE to COS: 8524\nURE to ABS: 4400\nURE to TKD: 6748\nURE to BDP: 6498\nCGA to YUL: 4913\nCGA to MMK: 9954\nCGA to YZT: 1728\nCGA to COS: 2898\nCGA to ABS: 13211\nCGA to TKD: 13483\nCGA to BDP: 13352\nCOS to YUL: 2662\nCOS to MMK: 8803\nCOS to YZT: 2247\nCOS to ABS: 12040\nCOS to TKD: 11063\nCOS to BDP: 13884\nABS to YUL: 9642\nABS to MMK: 5250\nABS to YZT: 12217\nABS to TKD: 5388\nABS to BDP: 5896\nMMK to YUL: 7242\nMMK to YZT: 9031\nMMK to TKD: 7758\nMMK to BDP: 6916\nBDP to YUL: 12976\nBDP to YZT: 12323\nBDP to TKD: 9768\nYUL to YZT: 4022\nYUL to TKD: 8844\nYZT to TKD: 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\nProblem to Solve\n\n- Airports to visit: YCD, WRL, EAR, RSU, UET, FTU, HNL, KCL, PKC\n- Travel distances (in kilometers) between each pair of airports:\nYCD to HNL: 4405\nYCD to WRL: 2389\nYCD to KCL: 3332\nYCD to UET: 13131\nYCD to RSU: 8871\nYCD to FTU: 17367\nYCD to PKC: 10740\nYCD to EAR: 2330\nWRL to HNL: 5955\nWRL to KCL: 5162\nWRL to UET: 13916\nWRL to RSU: 11156\nWRL to FTU: 17834\nWRL to PKC: 13025\nWRL to EAR: 1037\nEAR to HNL: 5896\nEAR to KCL: 5103\nEAR to UET: 13857\nEAR to RSU: 11097\nEAR to FTU: 17775\nEAR to PKC: 12966\nRSU to HNL: 7606\nRSU to KCL: 12069\nRSU to UET: 5823\nRSU to FTU: 11147\nRSU to PKC: 3635\nUET to HNL: 12718\nUET to KCL: 16342\nUET to FTU: 7431\nUET to PKC: 8036\nFTU to HNL: 18191\nFTU to KCL: 20526\nFTU to PKC: 14252\nHNL to KCL: 5225\nHNL to PKC: 8786\nKCL to PKC: 13916\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 55433, "style": "rule" }	{ "exact_answer": 55433, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YCD\", \"id\": 0}, {\"name\": \"WRL\", \"id\": 1}, {\"name\": \"EAR\", \"id\": 2}, {\"name\": \"RSU\", \"id\": 3}, {\"name\": \"UET\", \"id\": 4}, {\"name\": \"FTU\", \"id\": 5}, {\"name\": \"HNL\", \"id\": 6}, {\"name\": \"KCL\", \"id\": 7}, {\"name\": \"PKC\", \"id\": 8}], \"links\": [{\"weight\": 4405, \"source\": 0, \"target\": 6}, {\"weight\": 2389, \"source\": 0, \"target\": 1}, {\"weight\": 3332, \"source\": 0, \"target\": 7}, {\"weight\": 13131, \"source\": 0, \"target\": 4}, {\"weight\": 8871, \"source\": 0, \"target\": 3}, {\"weight\": 17367, \"source\": 0, \"target\": 5}, {\"weight\": 10740, \"source\": 0, \"target\": 8}, {\"weight\": 2330, \"source\": 0, \"target\": 2}, {\"weight\": 5955, \"source\": 1, \"target\": 6}, {\"weight\": 5162, \"source\": 1, \"target\": 7}, {\"weight\": 13916, \"source\": 1, \"target\": 4}, {\"weight\": 11156, \"source\": 1, \"target\": 3}, {\"weight\": 17834, \"source\": 1, \"target\": 5}, {\"weight\": 13025, \"source\": 1, \"target\": 8}, {\"weight\": 1037, \"source\": 1, \"target\": 2}, {\"weight\": 5896, \"source\": 2, \"target\": 6}, {\"weight\": 5103, \"source\": 2, \"target\": 7}, {\"weight\": 13857, \"source\": 2, \"target\": 4}, {\"weight\": 11097, \"source\": 2, \"target\": 3}, {\"weight\": 17775, \"source\": 2, \"target\": 5}, {\"weight\": 12966, \"source\": 2, \"target\": 8}, {\"weight\": 7606, \"source\": 3, \"target\": 6}, {\"weight\": 12069, \"source\": 3, \"target\": 7}, {\"weight\": 5823, \"source\": 3, \"target\": 4}, {\"weight\": 11147, \"source\": 3, \"target\": 5}, {\"weight\": 3635, \"source\": 3, \"target\": 8}, {\"weight\": 12718, \"source\": 4, \"target\": 6}, {\"weight\": 16342, \"source\": 4, \"target\": 7}, {\"weight\": 7431, \"source\": 4, \"target\": 5}, {\"weight\": 8036, \"source\": 4, \"target\": 8}, {\"weight\": 18191, \"source\": 5, \"target\": 6}, {\"weight\": 20526, \"source\": 5, \"target\": 7}, {\"weight\": 14252, \"source\": 5, \"target\": 8}, {\"weight\": 5225, \"source\": 6, \"target\": 7}, {\"weight\": 8786, \"source\": 6, \"target\": 8}, {\"weight\": 13916, \"source\": 7, \"target\": 8}]}", "id": 1433, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: YCD, WRL, EAR, RSU, UET, FTU, HNL, KCL, PKC\n- Travel distances (in kilometers) between each pair of airports:\nYCD to HNL: 4405\nYCD to WRL: 2389\nYCD to KCL: 3332\nYCD to UET: 13131\nYCD to RSU: 8871\nYCD to FTU: 17367\nYCD to PKC: 10740\nYCD to EAR: 2330\nWRL to HNL: 5955\nWRL to KCL: 5162\nWRL to UET: 13916\nWRL to RSU: 11156\nWRL to FTU: 17834\nWRL to PKC: 13025\nWRL to EAR: 1037\nEAR to HNL: 5896\nEAR to KCL: 5103\nEAR to UET: 13857\nEAR to RSU: 11097\nEAR to FTU: 17775\nEAR to PKC: 12966\nRSU to HNL: 7606\nRSU to KCL: 12069\nRSU to UET: 5823\nRSU to FTU: 11147\nRSU to PKC: 3635\nUET to HNL: 12718\nUET to KCL: 16342\nUET to FTU: 7431\nUET to PKC: 8036\nFTU to HNL: 18191\nFTU to KCL: 20526\nFTU to PKC: 14252\nHNL to KCL: 5225\nHNL to PKC: 8786\nKCL to PKC: 13916\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KAA, PNK, ILG, FEZ, CEE, QUB, BFL, PQQ, SZZ\n- Travel distances (in kilometers) between each pair of airports:\nKAA to FEZ: 7253\nKAA to BFL: 16385\nKAA to CEE: 8729\nKAA to SZZ: 8578\nKAA to ILG: 13944\nKAA to PNK: 10728\nKAA to QUB: 7969\nKAA to PQQ: 13183\nPNK to FEZ: 12754\nPNK to BFL: 13703\nPNK to CEE: 9483\nPNK to SZZ: 10656\nPNK to ILG: 16034\nPNK to QUB: 11391\nPNK to PQQ: 6183\nILG to FEZ: 7481\nILG to BFL: 3829\nILG to CEE: 8404\nILG to SZZ: 7629\nILG to QUB: 9524\nILG to PQQ: 15842\nFEZ to BFL: 9866\nFEZ to CEE: 4238\nFEZ to SZZ: 3043\nFEZ to QUB: 2858\nFEZ to PQQ: 18452\nCEE to BFL: 10171\nCEE to SZZ: 1902\nCEE to QUB: 4290\nCEE to PQQ: 14936\nQUB to BFL: 11896\nQUB to SZZ: 3373\nQUB to PQQ: 17187\nBFL to SZZ: 9490\nBFL to PQQ: 12160\nPQQ to SZZ: 16109\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 56690, "style": "rule" }	{ "exact_answer": 56690, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KAA\", \"id\": 0}, {\"name\": \"PNK\", \"id\": 1}, {\"name\": \"ILG\", \"id\": 2}, {\"name\": \"FEZ\", \"id\": 3}, {\"name\": \"CEE\", \"id\": 4}, {\"name\": \"QUB\", \"id\": 5}, {\"name\": \"BFL\", \"id\": 6}, {\"name\": \"PQQ\", \"id\": 7}, {\"name\": \"SZZ\", \"id\": 8}], \"links\": [{\"weight\": 7253, \"source\": 0, \"target\": 3}, {\"weight\": 16385, \"source\": 0, \"target\": 6}, {\"weight\": 8729, \"source\": 0, \"target\": 4}, {\"weight\": 8578, \"source\": 0, \"target\": 8}, {\"weight\": 13944, \"source\": 0, \"target\": 2}, {\"weight\": 10728, \"source\": 0, \"target\": 1}, {\"weight\": 7969, \"source\": 0, \"target\": 5}, {\"weight\": 13183, \"source\": 0, \"target\": 7}, {\"weight\": 12754, \"source\": 1, \"target\": 3}, {\"weight\": 13703, \"source\": 1, \"target\": 6}, {\"weight\": 9483, \"source\": 1, \"target\": 4}, {\"weight\": 10656, \"source\": 1, \"target\": 8}, {\"weight\": 16034, \"source\": 1, \"target\": 2}, {\"weight\": 11391, \"source\": 1, \"target\": 5}, {\"weight\": 6183, \"source\": 1, \"target\": 7}, {\"weight\": 7481, \"source\": 2, \"target\": 3}, {\"weight\": 3829, \"source\": 2, \"target\": 6}, {\"weight\": 8404, \"source\": 2, \"target\": 4}, {\"weight\": 7629, \"source\": 2, \"target\": 8}, {\"weight\": 9524, \"source\": 2, \"target\": 5}, {\"weight\": 15842, \"source\": 2, \"target\": 7}, {\"weight\": 9866, \"source\": 3, \"target\": 6}, {\"weight\": 4238, \"source\": 3, \"target\": 4}, {\"weight\": 3043, \"source\": 3, \"target\": 8}, {\"weight\": 2858, \"source\": 3, \"target\": 5}, {\"weight\": 18452, \"source\": 3, \"target\": 7}, {\"weight\": 10171, \"source\": 4, \"target\": 6}, {\"weight\": 1902, \"source\": 4, \"target\": 8}, {\"weight\": 4290, \"source\": 4, \"target\": 5}, {\"weight\": 14936, \"source\": 4, \"target\": 7}, {\"weight\": 11896, \"source\": 5, \"target\": 6}, {\"weight\": 3373, \"source\": 5, \"target\": 8}, {\"weight\": 17187, \"source\": 5, \"target\": 7}, {\"weight\": 9490, \"source\": 6, \"target\": 8}, {\"weight\": 12160, \"source\": 6, \"target\": 7}, {\"weight\": 16109, \"source\": 7, \"target\": 8}]}", "id": 1434, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KAA, PNK, ILG, FEZ, CEE, QUB, BFL, PQQ, SZZ\n- Travel distances (in kilometers) between each pair of airports:\nKAA to FEZ: 7253\nKAA to BFL: 16385\nKAA to CEE: 8729\nKAA to SZZ: 8578\nKAA to ILG: 13944\nKAA to PNK: 10728\nKAA to QUB: 7969\nKAA to PQQ: 13183\nPNK to FEZ: 12754\nPNK to BFL: 13703\nPNK to CEE: 9483\nPNK to SZZ: 10656\nPNK to ILG: 16034\nPNK to QUB: 11391\nPNK to PQQ: 6183\nILG to FEZ: 7481\nILG to BFL: 3829\nILG to CEE: 8404\nILG to SZZ: 7629\nILG to QUB: 9524\nILG to PQQ: 15842\nFEZ to BFL: 9866\nFEZ to CEE: 4238\nFEZ to SZZ: 3043\nFEZ to QUB: 2858\nFEZ to PQQ: 18452\nCEE to BFL: 10171\nCEE to SZZ: 1902\nCEE to QUB: 4290\nCEE to PQQ: 14936\nQUB to BFL: 11896\nQUB to SZZ: 3373\nQUB to PQQ: 17187\nBFL to SZZ: 9490\nBFL to PQQ: 12160\nPQQ to SZZ: 16109\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: XSB, AHO, MOI, SIC, JUZ, KGI, HKD, YNY, HFS\n- Travel distances (in kilometers) between each pair of airports:\nXSB to SIC: 15063\nXSB to AHO: 4994\nXSB to HKD: 8380\nXSB to JUZ: 7064\nXSB to MOI: 17590\nXSB to YNY: 7735\nXSB to KGI: 9875\nXSB to HFS: 5327\nAHO to SIC: 10119\nAHO to HKD: 9964\nAHO to JUZ: 10099\nAHO to MOI: 17967\nAHO to YNY: 10514\nAHO to KGI: 14259\nAHO to HFS: 2465\nMOI to SIC: 12800\nMOI to HKD: 11768\nMOI to JUZ: 13149\nMOI to YNY: 13636\nMOI to KGI: 8071\nMOI to HFS: 16907\nSIC to HKD: 14502\nSIC to JUZ: 16260\nSIC to YNY: 16283\nSIC to KGI: 19810\nSIC to HFS: 10664\nJUZ to HKD: 3401\nJUZ to YNY: 2305\nJUZ to KGI: 7434\nJUZ to HFS: 8622\nKGI to HKD: 9312\nKGI to YNY: 8599\nKGI to HFS: 14316\nHKD to YNY: 3232\nHKD to HFS: 8509\nYNY to HFS: 9026\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 60133, "style": "rule" }	{ "exact_answer": 60133, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"XSB\", \"id\": 0}, {\"name\": \"AHO\", \"id\": 1}, {\"name\": \"MOI\", \"id\": 2}, {\"name\": \"SIC\", \"id\": 3}, {\"name\": \"JUZ\", \"id\": 4}, {\"name\": \"KGI\", \"id\": 5}, {\"name\": \"HKD\", \"id\": 6}, {\"name\": \"YNY\", \"id\": 7}, {\"name\": \"HFS\", \"id\": 8}], \"links\": [{\"weight\": 15063, \"source\": 0, \"target\": 3}, {\"weight\": 4994, \"source\": 0, \"target\": 1}, {\"weight\": 8380, \"source\": 0, \"target\": 6}, {\"weight\": 7064, \"source\": 0, \"target\": 4}, {\"weight\": 17590, \"source\": 0, \"target\": 2}, {\"weight\": 7735, \"source\": 0, \"target\": 7}, {\"weight\": 9875, \"source\": 0, \"target\": 5}, {\"weight\": 5327, \"source\": 0, \"target\": 8}, {\"weight\": 10119, \"source\": 1, \"target\": 3}, {\"weight\": 9964, \"source\": 1, \"target\": 6}, {\"weight\": 10099, \"source\": 1, \"target\": 4}, {\"weight\": 17967, \"source\": 1, \"target\": 2}, {\"weight\": 10514, \"source\": 1, \"target\": 7}, {\"weight\": 14259, \"source\": 1, \"target\": 5}, {\"weight\": 2465, \"source\": 1, \"target\": 8}, {\"weight\": 12800, \"source\": 2, \"target\": 3}, {\"weight\": 11768, \"source\": 2, \"target\": 6}, {\"weight\": 13149, \"source\": 2, \"target\": 4}, {\"weight\": 13636, \"source\": 2, \"target\": 7}, {\"weight\": 8071, \"source\": 2, \"target\": 5}, {\"weight\": 16907, \"source\": 2, \"target\": 8}, {\"weight\": 14502, \"source\": 3, \"target\": 6}, {\"weight\": 16260, \"source\": 3, \"target\": 4}, {\"weight\": 16283, \"source\": 3, \"target\": 7}, {\"weight\": 19810, \"source\": 3, \"target\": 5}, {\"weight\": 10664, \"source\": 3, \"target\": 8}, {\"weight\": 3401, \"source\": 4, \"target\": 6}, {\"weight\": 2305, \"source\": 4, \"target\": 7}, {\"weight\": 7434, \"source\": 4, \"target\": 5}, {\"weight\": 8622, \"source\": 4, \"target\": 8}, {\"weight\": 9312, \"source\": 5, \"target\": 6}, {\"weight\": 8599, \"source\": 5, \"target\": 7}, {\"weight\": 14316, \"source\": 5, \"target\": 8}, {\"weight\": 3232, \"source\": 6, \"target\": 7}, {\"weight\": 8509, \"source\": 6, \"target\": 8}, {\"weight\": 9026, \"source\": 7, \"target\": 8}]}", "id": 1435, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: XSB, AHO, MOI, SIC, JUZ, KGI, HKD, YNY, HFS\n- Travel distances (in kilometers) between each pair of airports:\nXSB to SIC: 15063\nXSB to AHO: 4994\nXSB to HKD: 8380\nXSB to JUZ: 7064\nXSB to MOI: 17590\nXSB to YNY: 7735\nXSB to KGI: 9875\nXSB to HFS: 5327\nAHO to SIC: 10119\nAHO to HKD: 9964\nAHO to JUZ: 10099\nAHO to MOI: 17967\nAHO to YNY: 10514\nAHO to KGI: 14259\nAHO to HFS: 2465\nMOI to SIC: 12800\nMOI to HKD: 11768\nMOI to JUZ: 13149\nMOI to YNY: 13636\nMOI to KGI: 8071\nMOI to HFS: 16907\nSIC to HKD: 14502\nSIC to JUZ: 16260\nSIC to YNY: 16283\nSIC to KGI: 19810\nSIC to HFS: 10664\nJUZ to HKD: 3401\nJUZ to YNY: 2305\nJUZ to KGI: 7434\nJUZ to HFS: 8622\nKGI to HKD: 9312\nKGI to YNY: 8599\nKGI to HFS: 14316\nHKD to YNY: 3232\nHKD to HFS: 8509\nYNY to HFS: 9026\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: MRV, MKG, UBP, MCN, VEL, JHW, VDM, VLI, DQA\n- Travel distances (in kilometers) between each pair of airports:\nMRV to MCN: 10138\nMRV to VDM: 14545\nMRV to DQA: 6984\nMRV to UBP: 6905\nMRV to VEL: 11211\nMRV to VLI: 14587\nMRV to JHW: 9360\nMRV to MKG: 9630\nMKG to MCN: 1293\nMKG to VDM: 10144\nMKG to DQA: 11743\nMKG to UBP: 14545\nMKG to VEL: 2407\nMKG to VLI: 12848\nMKG to JHW: 926\nUBP to MCN: 15458\nUBP to VDM: 19414\nUBP to DQA: 4784\nUBP to VEL: 13774\nUBP to VLI: 9281\nUBP to JHW: 14823\nMCN to VDM: 8859\nMCN to DQA: 12656\nMCN to VEL: 2890\nMCN to VLI: 13109\nMCN to JHW: 1250\nVEL to VDM: 11172\nVEL to DQA: 10975\nVEL to VLI: 11017\nVEL to JHW: 2953\nJHW to VDM: 9998\nJHW to DQA: 12021\nJHW to VLI: 13383\nVDM to DQA: 21068\nVDM to VLI: 13845\nVLI to DQA: 10177\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 59336, "style": "rule" }	{ "exact_answer": 59336, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MRV\", \"id\": 0}, {\"name\": \"MKG\", \"id\": 1}, {\"name\": \"UBP\", \"id\": 2}, {\"name\": \"MCN\", \"id\": 3}, {\"name\": \"VEL\", \"id\": 4}, {\"name\": \"JHW\", \"id\": 5}, {\"name\": \"VDM\", \"id\": 6}, {\"name\": \"VLI\", \"id\": 7}, {\"name\": \"DQA\", \"id\": 8}], \"links\": [{\"weight\": 10138, \"source\": 0, \"target\": 3}, {\"weight\": 14545, \"source\": 0, \"target\": 6}, {\"weight\": 6984, \"source\": 0, \"target\": 8}, {\"weight\": 6905, \"source\": 0, \"target\": 2}, {\"weight\": 11211, \"source\": 0, \"target\": 4}, {\"weight\": 14587, \"source\": 0, \"target\": 7}, {\"weight\": 9360, \"source\": 0, \"target\": 5}, {\"weight\": 9630, \"source\": 0, \"target\": 1}, {\"weight\": 1293, \"source\": 1, \"target\": 3}, {\"weight\": 10144, \"source\": 1, \"target\": 6}, {\"weight\": 11743, \"source\": 1, \"target\": 8}, {\"weight\": 14545, \"source\": 1, \"target\": 2}, {\"weight\": 2407, \"source\": 1, \"target\": 4}, {\"weight\": 12848, \"source\": 1, \"target\": 7}, {\"weight\": 926, \"source\": 1, \"target\": 5}, {\"weight\": 15458, \"source\": 2, \"target\": 3}, {\"weight\": 19414, \"source\": 2, \"target\": 6}, {\"weight\": 4784, \"source\": 2, \"target\": 8}, {\"weight\": 13774, \"source\": 2, \"target\": 4}, {\"weight\": 9281, \"source\": 2, \"target\": 7}, {\"weight\": 14823, \"source\": 2, \"target\": 5}, {\"weight\": 8859, \"source\": 3, \"target\": 6}, {\"weight\": 12656, \"source\": 3, \"target\": 8}, {\"weight\": 2890, \"source\": 3, \"target\": 4}, {\"weight\": 13109, \"source\": 3, \"target\": 7}, {\"weight\": 1250, \"source\": 3, \"target\": 5}, {\"weight\": 11172, \"source\": 4, \"target\": 6}, {\"weight\": 10975, \"source\": 4, \"target\": 8}, {\"weight\": 11017, \"source\": 4, \"target\": 7}, {\"weight\": 2953, \"source\": 4, \"target\": 5}, {\"weight\": 9998, \"source\": 5, \"target\": 6}, {\"weight\": 12021, \"source\": 5, \"target\": 8}, {\"weight\": 13383, \"source\": 5, \"target\": 7}, {\"weight\": 21068, \"source\": 6, \"target\": 8}, {\"weight\": 13845, \"source\": 6, \"target\": 7}, {\"weight\": 10177, \"source\": 7, \"target\": 8}]}", "id": 1436, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: MRV, MKG, UBP, MCN, VEL, JHW, VDM, VLI, DQA\n- Travel distances (in kilometers) between each pair of airports:\nMRV to MCN: 10138\nMRV to VDM: 14545\nMRV to DQA: 6984\nMRV to UBP: 6905\nMRV to VEL: 11211\nMRV to VLI: 14587\nMRV to JHW: 9360\nMRV to MKG: 9630\nMKG to MCN: 1293\nMKG to VDM: 10144\nMKG to DQA: 11743\nMKG to UBP: 14545\nMKG to VEL: 2407\nMKG to VLI: 12848\nMKG to JHW: 926\nUBP to MCN: 15458\nUBP to VDM: 19414\nUBP to DQA: 4784\nUBP to VEL: 13774\nUBP to VLI: 9281\nUBP to JHW: 14823\nMCN to VDM: 8859\nMCN to DQA: 12656\nMCN to VEL: 2890\nMCN to VLI: 13109\nMCN to JHW: 1250\nVEL to VDM: 11172\nVEL to DQA: 10975\nVEL to VLI: 11017\nVEL to JHW: 2953\nJHW to VDM: 9998\nJHW to DQA: 12021\nJHW to VLI: 13383\nVDM to DQA: 21068\nVDM to VLI: 13845\nVLI to DQA: 10177\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: CMG, MEA, SJT, JXA, PUJ, RDZ, ILY, ICN, VCS\n- Travel distances (in kilometers) between each pair of airports:\nCMG to ICN: 18912\nCMG to PUJ: 5656\nCMG to RDZ: 10440\nCMG to SJT: 8860\nCMG to MEA: 1736\nCMG to ILY: 10576\nCMG to JXA: 18759\nCMG to VCS: 18500\nMEA to ICN: 18013\nMEA to PUJ: 5790\nMEA to RDZ: 9534\nMEA to SJT: 9060\nMEA to ILY: 9670\nMEA to JXA: 17860\nMEA to VCS: 17739\nSJT to ICN: 11354\nSJT to PUJ: 3635\nSJT to RDZ: 8739\nSJT to ILY: 7693\nSJT to JXA: 12036\nSJT to VCS: 15153\nJXA to ICN: 1376\nJXA to PUJ: 14847\nJXA to RDZ: 9296\nJXA to ILY: 9117\nJXA to VCS: 4841\nPUJ to ICN: 13597\nPUJ to RDZ: 7583\nPUJ to ILY: 7209\nPUJ to VCS: 17121\nRDZ to ICN: 9439\nRDZ to ILY: 1500\nRDZ to VCS: 10895\nILY to ICN: 9247\nILY to VCS: 10840\nICN to VCS: 3799\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 50112, "style": "rule" }	{ "exact_answer": 50112, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CMG\", \"id\": 0}, {\"name\": \"MEA\", \"id\": 1}, {\"name\": \"SJT\", \"id\": 2}, {\"name\": \"JXA\", \"id\": 3}, {\"name\": \"PUJ\", \"id\": 4}, {\"name\": \"RDZ\", \"id\": 5}, {\"name\": \"ILY\", \"id\": 6}, {\"name\": \"ICN\", \"id\": 7}, {\"name\": \"VCS\", \"id\": 8}], \"links\": [{\"weight\": 18912, \"source\": 0, \"target\": 7}, {\"weight\": 5656, \"source\": 0, \"target\": 4}, {\"weight\": 10440, \"source\": 0, \"target\": 5}, {\"weight\": 8860, \"source\": 0, \"target\": 2}, {\"weight\": 1736, \"source\": 0, \"target\": 1}, {\"weight\": 10576, \"source\": 0, \"target\": 6}, {\"weight\": 18759, \"source\": 0, \"target\": 3}, {\"weight\": 18500, \"source\": 0, \"target\": 8}, {\"weight\": 18013, \"source\": 1, \"target\": 7}, {\"weight\": 5790, \"source\": 1, \"target\": 4}, {\"weight\": 9534, \"source\": 1, \"target\": 5}, {\"weight\": 9060, \"source\": 1, \"target\": 2}, {\"weight\": 9670, \"source\": 1, \"target\": 6}, {\"weight\": 17860, \"source\": 1, \"target\": 3}, {\"weight\": 17739, \"source\": 1, \"target\": 8}, {\"weight\": 11354, \"source\": 2, \"target\": 7}, {\"weight\": 3635, \"source\": 2, \"target\": 4}, {\"weight\": 8739, \"source\": 2, \"target\": 5}, {\"weight\": 7693, \"source\": 2, \"target\": 6}, {\"weight\": 12036, \"source\": 2, \"target\": 3}, {\"weight\": 15153, \"source\": 2, \"target\": 8}, {\"weight\": 1376, \"source\": 3, \"target\": 7}, {\"weight\": 14847, \"source\": 3, \"target\": 4}, {\"weight\": 9296, \"source\": 3, \"target\": 5}, {\"weight\": 9117, \"source\": 3, \"target\": 6}, {\"weight\": 4841, \"source\": 3, \"target\": 8}, {\"weight\": 13597, \"source\": 4, \"target\": 7}, {\"weight\": 7583, \"source\": 4, \"target\": 5}, {\"weight\": 7209, \"source\": 4, \"target\": 6}, {\"weight\": 17121, \"source\": 4, \"target\": 8}, {\"weight\": 9439, \"source\": 5, \"target\": 7}, {\"weight\": 1500, \"source\": 5, \"target\": 6}, {\"weight\": 10895, \"source\": 5, \"target\": 8}, {\"weight\": 9247, \"source\": 6, \"target\": 7}, {\"weight\": 10840, \"source\": 6, \"target\": 8}, {\"weight\": 3799, \"source\": 7, \"target\": 8}]}", "id": 1437, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: CMG, MEA, SJT, JXA, PUJ, RDZ, ILY, ICN, VCS\n- Travel distances (in kilometers) between each pair of airports:\nCMG to ICN: 18912\nCMG to PUJ: 5656\nCMG to RDZ: 10440\nCMG to SJT: 8860\nCMG to MEA: 1736\nCMG to ILY: 10576\nCMG to JXA: 18759\nCMG to VCS: 18500\nMEA to ICN: 18013\nMEA to PUJ: 5790\nMEA to RDZ: 9534\nMEA to SJT: 9060\nMEA to ILY: 9670\nMEA to JXA: 17860\nMEA to VCS: 17739\nSJT to ICN: 11354\nSJT to PUJ: 3635\nSJT to RDZ: 8739\nSJT to ILY: 7693\nSJT to JXA: 12036\nSJT to VCS: 15153\nJXA to ICN: 1376\nJXA to PUJ: 14847\nJXA to RDZ: 9296\nJXA to ILY: 9117\nJXA to VCS: 4841\nPUJ to ICN: 13597\nPUJ to RDZ: 7583\nPUJ to ILY: 7209\nPUJ to VCS: 17121\nRDZ to ICN: 9439\nRDZ to ILY: 1500\nRDZ to VCS: 10895\nILY to ICN: 9247\nILY to VCS: 10840\nICN to VCS: 3799\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KLO, SJK, BLQ, KOI, QRW, NAJ, ULP, JNU, LBD\n- Travel distances (in kilometers) between each pair of airports:\nKLO to BLQ: 10773\nKLO to LBD: 6421\nKLO to JNU: 12513\nKLO to SJK: 19047\nKLO to KOI: 11097\nKLO to ULP: 5960\nKLO to NAJ: 8353\nKLO to QRW: 13041\nSJK to BLQ: 9645\nSJK to LBD: 14374\nSJK to JNU: 12853\nSJK to KOI: 10205\nSJK to ULP: 16063\nSJK to NAJ: 12429\nSJK to QRW: 7286\nBLQ to LBD: 4755\nBLQ to JNU: 10289\nBLQ to KOI: 1891\nBLQ to ULP: 15913\nBLQ to NAJ: 2903\nBLQ to QRW: 4623\nKOI to LBD: 5521\nKOI to JNU: 8973\nKOI to ULP: 16363\nKOI to NAJ: 4531\nKOI to QRW: 6030\nQRW to LBD: 8005\nQRW to JNU: 14086\nQRW to ULP: 17227\nQRW to NAJ: 6009\nNAJ to LBD: 4023\nNAJ to JNU: 12582\nNAJ to ULP: 13221\nULP to LBD: 11687\nULP to JNU: 13829\nJNU to LBD: 13491\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 61196, "style": "rule" }	{ "exact_answer": 61196, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLO\", \"id\": 0}, {\"name\": \"SJK\", \"id\": 1}, {\"name\": \"BLQ\", \"id\": 2}, {\"name\": \"KOI\", \"id\": 3}, {\"name\": \"QRW\", \"id\": 4}, {\"name\": \"NAJ\", \"id\": 5}, {\"name\": \"ULP\", \"id\": 6}, {\"name\": \"JNU\", \"id\": 7}, {\"name\": \"LBD\", \"id\": 8}], \"links\": [{\"weight\": 10773, \"source\": 0, \"target\": 2}, {\"weight\": 6421, \"source\": 0, \"target\": 8}, {\"weight\": 12513, \"source\": 0, \"target\": 7}, {\"weight\": 19047, \"source\": 0, \"target\": 1}, {\"weight\": 11097, \"source\": 0, \"target\": 3}, {\"weight\": 5960, \"source\": 0, \"target\": 6}, {\"weight\": 8353, \"source\": 0, \"target\": 5}, {\"weight\": 13041, \"source\": 0, \"target\": 4}, {\"weight\": 9645, \"source\": 1, \"target\": 2}, {\"weight\": 14374, \"source\": 1, \"target\": 8}, {\"weight\": 12853, \"source\": 1, \"target\": 7}, {\"weight\": 10205, \"source\": 1, \"target\": 3}, {\"weight\": 16063, \"source\": 1, \"target\": 6}, {\"weight\": 12429, \"source\": 1, \"target\": 5}, {\"weight\": 7286, \"source\": 1, \"target\": 4}, {\"weight\": 4755, \"source\": 2, \"target\": 8}, {\"weight\": 10289, \"source\": 2, \"target\": 7}, {\"weight\": 1891, \"source\": 2, \"target\": 3}, {\"weight\": 15913, \"source\": 2, \"target\": 6}, {\"weight\": 2903, \"source\": 2, \"target\": 5}, {\"weight\": 4623, \"source\": 2, \"target\": 4}, {\"weight\": 5521, \"source\": 3, \"target\": 8}, {\"weight\": 8973, \"source\": 3, \"target\": 7}, {\"weight\": 16363, \"source\": 3, \"target\": 6}, {\"weight\": 4531, \"source\": 3, \"target\": 5}, {\"weight\": 6030, \"source\": 3, \"target\": 4}, {\"weight\": 8005, \"source\": 4, \"target\": 8}, {\"weight\": 14086, \"source\": 4, \"target\": 7}, {\"weight\": 17227, \"source\": 4, \"target\": 6}, {\"weight\": 6009, \"source\": 4, \"target\": 5}, {\"weight\": 4023, \"source\": 5, \"target\": 8}, {\"weight\": 12582, \"source\": 5, \"target\": 7}, {\"weight\": 13221, \"source\": 5, \"target\": 6}, {\"weight\": 11687, \"source\": 6, \"target\": 8}, {\"weight\": 13829, \"source\": 6, \"target\": 7}, {\"weight\": 13491, \"source\": 7, \"target\": 8}]}", "id": 1438, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KLO, SJK, BLQ, KOI, QRW, NAJ, ULP, JNU, LBD\n- Travel distances (in kilometers) between each pair of airports:\nKLO to BLQ: 10773\nKLO to LBD: 6421\nKLO to JNU: 12513\nKLO to SJK: 19047\nKLO to KOI: 11097\nKLO to ULP: 5960\nKLO to NAJ: 8353\nKLO to QRW: 13041\nSJK to BLQ: 9645\nSJK to LBD: 14374\nSJK to JNU: 12853\nSJK to KOI: 10205\nSJK to ULP: 16063\nSJK to NAJ: 12429\nSJK to QRW: 7286\nBLQ to LBD: 4755\nBLQ to JNU: 10289\nBLQ to KOI: 1891\nBLQ to ULP: 15913\nBLQ to NAJ: 2903\nBLQ to QRW: 4623\nKOI to LBD: 5521\nKOI to JNU: 8973\nKOI to ULP: 16363\nKOI to NAJ: 4531\nKOI to QRW: 6030\nQRW to LBD: 8005\nQRW to JNU: 14086\nQRW to ULP: 17227\nQRW to NAJ: 6009\nNAJ to LBD: 4023\nNAJ to JNU: 12582\nNAJ to ULP: 13221\nULP to LBD: 11687\nULP to JNU: 13829\nJNU to LBD: 13491\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }
TSP	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KVD, KIJ, BHI, EWB, SOY, WAE, IPI, DUJ, LKL\n- Travel distances (in kilometers) between each pair of airports:\nKVD to BHI: 14293\nKVD to EWB: 9154\nKVD to IPI: 12785\nKVD to KIJ: 7768\nKVD to SOY: 4418\nKVD to WAE: 2644\nKVD to DUJ: 9852\nKVD to LKL: 4047\nKIJ to BHI: 19429\nKIJ to EWB: 11183\nKIJ to IPI: 15100\nKIJ to SOY: 9635\nKIJ to WAE: 9123\nKIJ to DUJ: 10940\nKIJ to LKL: 9312\nBHI to EWB: 9846\nBHI to IPI: 6206\nBHI to SOY: 12486\nBHI to WAE: 13412\nBHI to DUJ: 9777\nBHI to LKL: 14214\nEWB to IPI: 4999\nEWB to SOY: 5634\nEWB to WAE: 10725\nEWB to DUJ: 1254\nEWB to LKL: 6670\nSOY to IPI: 9677\nSOY to WAE: 6061\nSOY to DUJ: 6221\nSOY to LKL: 2226\nWAE to IPI: 13603\nWAE to DUJ: 11641\nWAE to LKL: 6492\nIPI to DUJ: 4998\nIPI to LKL: 11359\nDUJ to LKL: 7368\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "role": "user" } ]	{ "ground_truth": 53454, "style": "rule" }	{ "exact_answer": 53454, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KVD\", \"id\": 0}, {\"name\": \"KIJ\", \"id\": 1}, {\"name\": \"BHI\", \"id\": 2}, {\"name\": \"EWB\", \"id\": 3}, {\"name\": \"SOY\", \"id\": 4}, {\"name\": \"WAE\", \"id\": 5}, {\"name\": \"IPI\", \"id\": 6}, {\"name\": \"DUJ\", \"id\": 7}, {\"name\": \"LKL\", \"id\": 8}], \"links\": [{\"weight\": 14293, \"source\": 0, \"target\": 2}, {\"weight\": 9154, \"source\": 0, \"target\": 3}, {\"weight\": 12785, \"source\": 0, \"target\": 6}, {\"weight\": 7768, \"source\": 0, \"target\": 1}, {\"weight\": 4418, \"source\": 0, \"target\": 4}, {\"weight\": 2644, \"source\": 0, \"target\": 5}, {\"weight\": 9852, \"source\": 0, \"target\": 7}, {\"weight\": 4047, \"source\": 0, \"target\": 8}, {\"weight\": 19429, \"source\": 1, \"target\": 2}, {\"weight\": 11183, \"source\": 1, \"target\": 3}, {\"weight\": 15100, \"source\": 1, \"target\": 6}, {\"weight\": 9635, \"source\": 1, \"target\": 4}, {\"weight\": 9123, \"source\": 1, \"target\": 5}, {\"weight\": 10940, \"source\": 1, \"target\": 7}, {\"weight\": 9312, \"source\": 1, \"target\": 8}, {\"weight\": 9846, \"source\": 2, \"target\": 3}, {\"weight\": 6206, \"source\": 2, \"target\": 6}, {\"weight\": 12486, \"source\": 2, \"target\": 4}, {\"weight\": 13412, \"source\": 2, \"target\": 5}, {\"weight\": 9777, \"source\": 2, \"target\": 7}, {\"weight\": 14214, \"source\": 2, \"target\": 8}, {\"weight\": 4999, \"source\": 3, \"target\": 6}, {\"weight\": 5634, \"source\": 3, \"target\": 4}, {\"weight\": 10725, \"source\": 3, \"target\": 5}, {\"weight\": 1254, \"source\": 3, \"target\": 7}, {\"weight\": 6670, \"source\": 3, \"target\": 8}, {\"weight\": 9677, \"source\": 4, \"target\": 6}, {\"weight\": 6061, \"source\": 4, \"target\": 5}, {\"weight\": 6221, \"source\": 4, \"target\": 7}, {\"weight\": 2226, \"source\": 4, \"target\": 8}, {\"weight\": 13603, \"source\": 5, \"target\": 6}, {\"weight\": 11641, \"source\": 5, \"target\": 7}, {\"weight\": 6492, \"source\": 5, \"target\": 8}, {\"weight\": 4998, \"source\": 6, \"target\": 7}, {\"weight\": 11359, \"source\": 6, \"target\": 8}, {\"weight\": 7368, \"source\": 7, \"target\": 8}]}", "id": 1439, "problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\nProblem to Solve\n\n- Airports to visit: KVD, KIJ, BHI, EWB, SOY, WAE, IPI, DUJ, LKL\n- Travel distances (in kilometers) between each pair of airports:\nKVD to BHI: 14293\nKVD to EWB: 9154\nKVD to IPI: 12785\nKVD to KIJ: 7768\nKVD to SOY: 4418\nKVD to WAE: 2644\nKVD to DUJ: 9852\nKVD to LKL: 4047\nKIJ to BHI: 19429\nKIJ to EWB: 11183\nKIJ to IPI: 15100\nKIJ to SOY: 9635\nKIJ to WAE: 9123\nKIJ to DUJ: 10940\nKIJ to LKL: 9312\nBHI to EWB: 9846\nBHI to IPI: 6206\nBHI to SOY: 12486\nBHI to WAE: 13412\nBHI to DUJ: 9777\nBHI to LKL: 14214\nEWB to IPI: 4999\nEWB to SOY: 5634\nEWB to WAE: 10725\nEWB to DUJ: 1254\nEWB to LKL: 6670\nSOY to IPI: 9677\nSOY to WAE: 6061\nSOY to DUJ: 6221\nSOY to LKL: 2226\nWAE to IPI: 13603\nWAE to DUJ: 11641\nWAE to LKL: 6492\nIPI to DUJ: 4998\nIPI to LKL: 11359\nDUJ to LKL: 7368\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]", "split": "train" }