data_source
stringclasses 3
values | prompt
listlengths 2
2
| reward_model
dict | extra_info
dict |
|---|---|---|---|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNK, APF, CMI, ELS, KHI, OHH, PIP, ACH, BAQ\n- Travel distances (in kilometers) between each pair of airports:\nDNK to ACH: 1896\nDNK to CMI: 8769\nDNK to BAQ: 11362\nDNK to KHI: 3892\nDNK to PIP: 12541\nDNK to OHH: 7739\nDNK to ELS: 9088\nDNK to APF: 9760\nAPF to ACH: 9061\nAPF to CMI: 2298\nAPF to BAQ: 1908\nAPF to KHI: 13597\nAPF to PIP: 7207\nAPF to OHH: 14112\nAPF to ELS: 14933\nCMI to ACH: 8310\nCMI to BAQ: 3900\nCMI to KHI: 12587\nCMI to PIP: 5380\nCMI to OHH: 12289\nCMI to ELS: 15002\nELS to ACH: 9924\nELS to BAQ: 13233\nELS to KHI: 8084\nELS to PIP: 19886\nELS to OHH: 14938\nKHI to ACH: 5615\nKHI to BAQ: 15199\nKHI to PIP: 16034\nKHI to OHH: 7405\nOHH to ACH: 9108\nOHH to BAQ: 15714\nOHH to PIP: 12308\nPIP to ACH: 12246\nPIP to BAQ: 8809\nACH to BAQ: 10663\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58107,
"style": "rule"
}
|
{
"exact_answer": 58107,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DNK\", \"id\": 0}, {\"name\": \"APF\", \"id\": 1}, {\"name\": \"CMI\", \"id\": 2}, {\"name\": \"ELS\", \"id\": 3}, {\"name\": \"KHI\", \"id\": 4}, {\"name\": \"OHH\", \"id\": 5}, {\"name\": \"PIP\", \"id\": 6}, {\"name\": \"ACH\", \"id\": 7}, {\"name\": \"BAQ\", \"id\": 8}], \"links\": [{\"weight\": 1896, \"source\": 0, \"target\": 7}, {\"weight\": 8769, \"source\": 0, \"target\": 2}, {\"weight\": 11362, \"source\": 0, \"target\": 8}, {\"weight\": 3892, \"source\": 0, \"target\": 4}, {\"weight\": 12541, \"source\": 0, \"target\": 6}, {\"weight\": 7739, \"source\": 0, \"target\": 5}, {\"weight\": 9088, \"source\": 0, \"target\": 3}, {\"weight\": 9760, \"source\": 0, \"target\": 1}, {\"weight\": 9061, \"source\": 1, \"target\": 7}, {\"weight\": 2298, \"source\": 1, \"target\": 2}, {\"weight\": 1908, \"source\": 1, \"target\": 8}, {\"weight\": 13597, \"source\": 1, \"target\": 4}, {\"weight\": 7207, \"source\": 1, \"target\": 6}, {\"weight\": 14112, \"source\": 1, \"target\": 5}, {\"weight\": 14933, \"source\": 1, \"target\": 3}, {\"weight\": 8310, \"source\": 2, \"target\": 7}, {\"weight\": 3900, \"source\": 2, \"target\": 8}, {\"weight\": 12587, \"source\": 2, \"target\": 4}, {\"weight\": 5380, \"source\": 2, \"target\": 6}, {\"weight\": 12289, \"source\": 2, \"target\": 5}, {\"weight\": 15002, \"source\": 2, \"target\": 3}, {\"weight\": 9924, \"source\": 3, \"target\": 7}, {\"weight\": 13233, \"source\": 3, \"target\": 8}, {\"weight\": 8084, \"source\": 3, \"target\": 4}, {\"weight\": 19886, \"source\": 3, \"target\": 6}, {\"weight\": 14938, \"source\": 3, \"target\": 5}, {\"weight\": 5615, \"source\": 4, \"target\": 7}, {\"weight\": 15199, \"source\": 4, \"target\": 8}, {\"weight\": 16034, \"source\": 4, \"target\": 6}, {\"weight\": 7405, \"source\": 4, \"target\": 5}, {\"weight\": 9108, \"source\": 5, \"target\": 7}, {\"weight\": 15714, \"source\": 5, \"target\": 8}, {\"weight\": 12308, \"source\": 5, \"target\": 6}, {\"weight\": 12246, \"source\": 6, \"target\": 7}, {\"weight\": 8809, \"source\": 6, \"target\": 8}, {\"weight\": 10663, \"source\": 7, \"target\": 8}]}",
"id": 1800,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DNK, APF, CMI, ELS, KHI, OHH, PIP, ACH, BAQ\n- Travel distances (in kilometers) between each pair of airports:\nDNK to ACH: 1896\nDNK to CMI: 8769\nDNK to BAQ: 11362\nDNK to KHI: 3892\nDNK to PIP: 12541\nDNK to OHH: 7739\nDNK to ELS: 9088\nDNK to APF: 9760\nAPF to ACH: 9061\nAPF to CMI: 2298\nAPF to BAQ: 1908\nAPF to KHI: 13597\nAPF to PIP: 7207\nAPF to OHH: 14112\nAPF to ELS: 14933\nCMI to ACH: 8310\nCMI to BAQ: 3900\nCMI to KHI: 12587\nCMI to PIP: 5380\nCMI to OHH: 12289\nCMI to ELS: 15002\nELS to ACH: 9924\nELS to BAQ: 13233\nELS to KHI: 8084\nELS to PIP: 19886\nELS to OHH: 14938\nKHI to ACH: 5615\nKHI to BAQ: 15199\nKHI to PIP: 16034\nKHI to OHH: 7405\nOHH to ACH: 9108\nOHH to BAQ: 15714\nOHH to PIP: 12308\nPIP to ACH: 12246\nPIP to BAQ: 8809\nACH to BAQ: 10663\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKA, SBZ, LBU, WRY, YCL, NBX, MMH, IXJ, HAH\n- Travel distances (in kilometers) between each pair of airports:\nUKA to IXJ: 6638\nUKA to MMH: 16928\nUKA to HAH: 1819\nUKA to LBU: 10019\nUKA to NBX: 12423\nUKA to SBZ: 6352\nUKA to WRY: 8532\nUKA to YCL: 12753\nSBZ to IXJ: 5250\nSBZ to MMH: 10941\nSBZ to HAH: 6709\nSBZ to LBU: 10280\nSBZ to NBX: 12969\nSBZ to WRY: 2530\nSBZ to YCL: 6888\nLBU to IXJ: 5566\nLBU to MMH: 13360\nLBU to HAH: 8874\nLBU to NBX: 3269\nLBU to WRY: 11596\nLBU to YCL: 16085\nWRY to IXJ: 7020\nWRY to MMH: 9227\nWRY to HAH: 8940\nWRY to NBX: 14637\nWRY to YCL: 5879\nYCL to IXJ: 11778\nYCL to MMH: 5594\nYCL to HAH: 13166\nYCL to NBX: 19126\nNBX to IXJ: 8314\nNBX to MMH: 16401\nNBX to HAH: 11290\nMMH to IXJ: 14551\nMMH to HAH: 17341\nIXJ to HAH: 7117\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54112,
"style": "rule"
}
|
{
"exact_answer": 54112,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UKA\", \"id\": 0}, {\"name\": \"SBZ\", \"id\": 1}, {\"name\": \"LBU\", \"id\": 2}, {\"name\": \"WRY\", \"id\": 3}, {\"name\": \"YCL\", \"id\": 4}, {\"name\": \"NBX\", \"id\": 5}, {\"name\": \"MMH\", \"id\": 6}, {\"name\": \"IXJ\", \"id\": 7}, {\"name\": \"HAH\", \"id\": 8}], \"links\": [{\"weight\": 6638, \"source\": 0, \"target\": 7}, {\"weight\": 16928, \"source\": 0, \"target\": 6}, {\"weight\": 1819, \"source\": 0, \"target\": 8}, {\"weight\": 10019, \"source\": 0, \"target\": 2}, {\"weight\": 12423, \"source\": 0, \"target\": 5}, {\"weight\": 6352, \"source\": 0, \"target\": 1}, {\"weight\": 8532, \"source\": 0, \"target\": 3}, {\"weight\": 12753, \"source\": 0, \"target\": 4}, {\"weight\": 5250, \"source\": 1, \"target\": 7}, {\"weight\": 10941, \"source\": 1, \"target\": 6}, {\"weight\": 6709, \"source\": 1, \"target\": 8}, {\"weight\": 10280, \"source\": 1, \"target\": 2}, {\"weight\": 12969, \"source\": 1, \"target\": 5}, {\"weight\": 2530, \"source\": 1, \"target\": 3}, {\"weight\": 6888, \"source\": 1, \"target\": 4}, {\"weight\": 5566, \"source\": 2, \"target\": 7}, {\"weight\": 13360, \"source\": 2, \"target\": 6}, {\"weight\": 8874, \"source\": 2, \"target\": 8}, {\"weight\": 3269, \"source\": 2, \"target\": 5}, {\"weight\": 11596, \"source\": 2, \"target\": 3}, {\"weight\": 16085, \"source\": 2, \"target\": 4}, {\"weight\": 7020, \"source\": 3, \"target\": 7}, {\"weight\": 9227, \"source\": 3, \"target\": 6}, {\"weight\": 8940, \"source\": 3, \"target\": 8}, {\"weight\": 14637, \"source\": 3, \"target\": 5}, {\"weight\": 5879, \"source\": 3, \"target\": 4}, {\"weight\": 11778, \"source\": 4, \"target\": 7}, {\"weight\": 5594, \"source\": 4, \"target\": 6}, {\"weight\": 13166, \"source\": 4, \"target\": 8}, {\"weight\": 19126, \"source\": 4, \"target\": 5}, {\"weight\": 8314, \"source\": 5, \"target\": 7}, {\"weight\": 16401, \"source\": 5, \"target\": 6}, {\"weight\": 11290, \"source\": 5, \"target\": 8}, {\"weight\": 14551, \"source\": 6, \"target\": 7}, {\"weight\": 17341, \"source\": 6, \"target\": 8}, {\"weight\": 7117, \"source\": 7, \"target\": 8}]}",
"id": 1801,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UKA, SBZ, LBU, WRY, YCL, NBX, MMH, IXJ, HAH\n- Travel distances (in kilometers) between each pair of airports:\nUKA to IXJ: 6638\nUKA to MMH: 16928\nUKA to HAH: 1819\nUKA to LBU: 10019\nUKA to NBX: 12423\nUKA to SBZ: 6352\nUKA to WRY: 8532\nUKA to YCL: 12753\nSBZ to IXJ: 5250\nSBZ to MMH: 10941\nSBZ to HAH: 6709\nSBZ to LBU: 10280\nSBZ to NBX: 12969\nSBZ to WRY: 2530\nSBZ to YCL: 6888\nLBU to IXJ: 5566\nLBU to MMH: 13360\nLBU to HAH: 8874\nLBU to NBX: 3269\nLBU to WRY: 11596\nLBU to YCL: 16085\nWRY to IXJ: 7020\nWRY to MMH: 9227\nWRY to HAH: 8940\nWRY to NBX: 14637\nWRY to YCL: 5879\nYCL to IXJ: 11778\nYCL to MMH: 5594\nYCL to HAH: 13166\nYCL to NBX: 19126\nNBX to IXJ: 8314\nNBX to MMH: 16401\nNBX to HAH: 11290\nMMH to IXJ: 14551\nMMH to HAH: 17341\nIXJ to HAH: 7117\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YWJ, MTR, MID, MSU, MEU, ISU, XIL, GRR, BFV\n- Travel distances (in kilometers) between each pair of airports:\nYWJ to MID: 5688\nYWJ to GRR: 3952\nYWJ to MTR: 8421\nYWJ to XIL: 11285\nYWJ to BFV: 14482\nYWJ to ISU: 11942\nYWJ to MEU: 10047\nYWJ to MSU: 17315\nMTR to MID: 2873\nMTR to GRR: 4873\nMTR to XIL: 15813\nMTR to BFV: 18939\nMTR to ISU: 12795\nMTR to MEU: 4345\nMTR to MSU: 12642\nMID to GRR: 2733\nMID to XIL: 13142\nMID to BFV: 16344\nMID to ISU: 12214\nMID to MEU: 5219\nMID to MSU: 14623\nMSU to GRR: 14212\nMSU to XIL: 12267\nMSU to BFV: 10314\nMSU to ISU: 7830\nMSU to MEU: 10735\nMEU to GRR: 6679\nMEU to XIL: 17021\nMEU to BFV: 17812\nMEU to ISU: 11728\nISU to GRR: 10172\nISU to XIL: 6249\nISU to BFV: 6323\nXIL to GRR: 11211\nXIL to BFV: 3986\nGRR to BFV: 14413\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54062,
"style": "rule"
}
|
{
"exact_answer": 54062,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YWJ\", \"id\": 0}, {\"name\": \"MTR\", \"id\": 1}, {\"name\": \"MID\", \"id\": 2}, {\"name\": \"MSU\", \"id\": 3}, {\"name\": \"MEU\", \"id\": 4}, {\"name\": \"ISU\", \"id\": 5}, {\"name\": \"XIL\", \"id\": 6}, {\"name\": \"GRR\", \"id\": 7}, {\"name\": \"BFV\", \"id\": 8}], \"links\": [{\"weight\": 5688, \"source\": 0, \"target\": 2}, {\"weight\": 3952, \"source\": 0, \"target\": 7}, {\"weight\": 8421, \"source\": 0, \"target\": 1}, {\"weight\": 11285, \"source\": 0, \"target\": 6}, {\"weight\": 14482, \"source\": 0, \"target\": 8}, {\"weight\": 11942, \"source\": 0, \"target\": 5}, {\"weight\": 10047, \"source\": 0, \"target\": 4}, {\"weight\": 17315, \"source\": 0, \"target\": 3}, {\"weight\": 2873, \"source\": 1, \"target\": 2}, {\"weight\": 4873, \"source\": 1, \"target\": 7}, {\"weight\": 15813, \"source\": 1, \"target\": 6}, {\"weight\": 18939, \"source\": 1, \"target\": 8}, {\"weight\": 12795, \"source\": 1, \"target\": 5}, {\"weight\": 4345, \"source\": 1, \"target\": 4}, {\"weight\": 12642, \"source\": 1, \"target\": 3}, {\"weight\": 2733, \"source\": 2, \"target\": 7}, {\"weight\": 13142, \"source\": 2, \"target\": 6}, {\"weight\": 16344, \"source\": 2, \"target\": 8}, {\"weight\": 12214, \"source\": 2, \"target\": 5}, {\"weight\": 5219, \"source\": 2, \"target\": 4}, {\"weight\": 14623, \"source\": 2, \"target\": 3}, {\"weight\": 14212, \"source\": 3, \"target\": 7}, {\"weight\": 12267, \"source\": 3, \"target\": 6}, {\"weight\": 10314, \"source\": 3, \"target\": 8}, {\"weight\": 7830, \"source\": 3, \"target\": 5}, {\"weight\": 10735, \"source\": 3, \"target\": 4}, {\"weight\": 6679, \"source\": 4, \"target\": 7}, {\"weight\": 17021, \"source\": 4, \"target\": 6}, {\"weight\": 17812, \"source\": 4, \"target\": 8}, {\"weight\": 11728, \"source\": 4, \"target\": 5}, {\"weight\": 10172, \"source\": 5, \"target\": 7}, {\"weight\": 6249, \"source\": 5, \"target\": 6}, {\"weight\": 6323, \"source\": 5, \"target\": 8}, {\"weight\": 11211, \"source\": 6, \"target\": 7}, {\"weight\": 3986, \"source\": 6, \"target\": 8}, {\"weight\": 14413, \"source\": 7, \"target\": 8}]}",
"id": 1802,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YWJ, MTR, MID, MSU, MEU, ISU, XIL, GRR, BFV\n- Travel distances (in kilometers) between each pair of airports:\nYWJ to MID: 5688\nYWJ to GRR: 3952\nYWJ to MTR: 8421\nYWJ to XIL: 11285\nYWJ to BFV: 14482\nYWJ to ISU: 11942\nYWJ to MEU: 10047\nYWJ to MSU: 17315\nMTR to MID: 2873\nMTR to GRR: 4873\nMTR to XIL: 15813\nMTR to BFV: 18939\nMTR to ISU: 12795\nMTR to MEU: 4345\nMTR to MSU: 12642\nMID to GRR: 2733\nMID to XIL: 13142\nMID to BFV: 16344\nMID to ISU: 12214\nMID to MEU: 5219\nMID to MSU: 14623\nMSU to GRR: 14212\nMSU to XIL: 12267\nMSU to BFV: 10314\nMSU to ISU: 7830\nMSU to MEU: 10735\nMEU to GRR: 6679\nMEU to XIL: 17021\nMEU to BFV: 17812\nMEU to ISU: 11728\nISU to GRR: 10172\nISU to XIL: 6249\nISU to BFV: 6323\nXIL to GRR: 11211\nXIL to BFV: 3986\nGRR to BFV: 14413\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SFG, TGK, PLU, ROS, BDU, HBX, WYA, KOO, CTG\n- Travel distances (in kilometers) between each pair of airports:\nSFG to TGK: 10096\nSFG to PLU: 5106\nSFG to ROS: 6670\nSFG to CTG: 2418\nSFG to KOO: 13257\nSFG to BDU: 9000\nSFG to HBX: 14268\nSFG to WYA: 18885\nTGK to PLU: 12275\nTGK to ROS: 14456\nTGK to CTG: 11821\nTGK to KOO: 9777\nTGK to BDU: 3660\nTGK to HBX: 6644\nTGK to WYA: 14919\nPLU to ROS: 2226\nPLU to CTG: 5466\nPLU to KOO: 9329\nPLU to BDU: 11302\nPLU to HBX: 14637\nPLU to WYA: 15821\nROS to CTG: 5392\nROS to KOO: 10736\nROS to BDU: 13459\nROS to HBX: 16044\nROS to WYA: 13758\nBDU to CTG: 10322\nBDU to KOO: 10292\nBDU to HBX: 8288\nBDU to WYA: 16661\nHBX to CTG: 16504\nHBX to KOO: 9193\nHBX to WYA: 9173\nWYA to CTG: 17637\nWYA to KOO: 15328\nKOO to CTG: 13848\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63170,
"style": "rule"
}
|
{
"exact_answer": 63170,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SFG\", \"id\": 0}, {\"name\": \"TGK\", \"id\": 1}, {\"name\": \"PLU\", \"id\": 2}, {\"name\": \"ROS\", \"id\": 3}, {\"name\": \"BDU\", \"id\": 4}, {\"name\": \"HBX\", \"id\": 5}, {\"name\": \"WYA\", \"id\": 6}, {\"name\": \"KOO\", \"id\": 7}, {\"name\": \"CTG\", \"id\": 8}], \"links\": [{\"weight\": 10096, \"source\": 0, \"target\": 1}, {\"weight\": 5106, \"source\": 0, \"target\": 2}, {\"weight\": 6670, \"source\": 0, \"target\": 3}, {\"weight\": 2418, \"source\": 0, \"target\": 8}, {\"weight\": 13257, \"source\": 0, \"target\": 7}, {\"weight\": 9000, \"source\": 0, \"target\": 4}, {\"weight\": 14268, \"source\": 0, \"target\": 5}, {\"weight\": 18885, \"source\": 0, \"target\": 6}, {\"weight\": 12275, \"source\": 1, \"target\": 2}, {\"weight\": 14456, \"source\": 1, \"target\": 3}, {\"weight\": 11821, \"source\": 1, \"target\": 8}, {\"weight\": 9777, \"source\": 1, \"target\": 7}, {\"weight\": 3660, \"source\": 1, \"target\": 4}, {\"weight\": 6644, \"source\": 1, \"target\": 5}, {\"weight\": 14919, \"source\": 1, \"target\": 6}, {\"weight\": 2226, \"source\": 2, \"target\": 3}, {\"weight\": 5466, \"source\": 2, \"target\": 8}, {\"weight\": 9329, \"source\": 2, \"target\": 7}, {\"weight\": 11302, \"source\": 2, \"target\": 4}, {\"weight\": 14637, \"source\": 2, \"target\": 5}, {\"weight\": 15821, \"source\": 2, \"target\": 6}, {\"weight\": 5392, \"source\": 3, \"target\": 8}, {\"weight\": 10736, \"source\": 3, \"target\": 7}, {\"weight\": 13459, \"source\": 3, \"target\": 4}, {\"weight\": 16044, \"source\": 3, \"target\": 5}, {\"weight\": 13758, \"source\": 3, \"target\": 6}, {\"weight\": 10322, \"source\": 4, \"target\": 8}, {\"weight\": 10292, \"source\": 4, \"target\": 7}, {\"weight\": 8288, \"source\": 4, \"target\": 5}, {\"weight\": 16661, \"source\": 4, \"target\": 6}, {\"weight\": 16504, \"source\": 5, \"target\": 8}, {\"weight\": 9193, \"source\": 5, \"target\": 7}, {\"weight\": 9173, \"source\": 5, \"target\": 6}, {\"weight\": 17637, \"source\": 6, \"target\": 8}, {\"weight\": 15328, \"source\": 6, \"target\": 7}, {\"weight\": 13848, \"source\": 7, \"target\": 8}]}",
"id": 1803,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SFG, TGK, PLU, ROS, BDU, HBX, WYA, KOO, CTG\n- Travel distances (in kilometers) between each pair of airports:\nSFG to TGK: 10096\nSFG to PLU: 5106\nSFG to ROS: 6670\nSFG to CTG: 2418\nSFG to KOO: 13257\nSFG to BDU: 9000\nSFG to HBX: 14268\nSFG to WYA: 18885\nTGK to PLU: 12275\nTGK to ROS: 14456\nTGK to CTG: 11821\nTGK to KOO: 9777\nTGK to BDU: 3660\nTGK to HBX: 6644\nTGK to WYA: 14919\nPLU to ROS: 2226\nPLU to CTG: 5466\nPLU to KOO: 9329\nPLU to BDU: 11302\nPLU to HBX: 14637\nPLU to WYA: 15821\nROS to CTG: 5392\nROS to KOO: 10736\nROS to BDU: 13459\nROS to HBX: 16044\nROS to WYA: 13758\nBDU to CTG: 10322\nBDU to KOO: 10292\nBDU to HBX: 8288\nBDU to WYA: 16661\nHBX to CTG: 16504\nHBX to KOO: 9193\nHBX to WYA: 9173\nWYA to CTG: 17637\nWYA to KOO: 15328\nKOO to CTG: 13848\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, RPR, IFO, PIH, YRT, LAQ, BHS, INH, YZP\n- Travel distances (in kilometers) between each pair of airports:\nHSV to YRT: 3426\nHSV to RPR: 13787\nHSV to YZP: 4222\nHSV to PIH: 2551\nHSV to LAQ: 9492\nHSV to IFO: 9315\nHSV to INH: 14588\nHSV to BHS: 14928\nRPR to YRT: 15046\nRPR to YZP: 13543\nRPR to PIH: 14315\nRPR to LAQ: 7721\nRPR to IFO: 6038\nRPR to INH: 8629\nRPR to BHS: 9768\nIFO to YRT: 10031\nIFO to YZP: 10389\nIFO to PIH: 10474\nIFO to LAQ: 3864\nIFO to INH: 9438\nIFO to BHS: 15557\nPIH to YRT: 3595\nPIH to YZP: 2272\nPIH to LAQ: 11041\nPIH to INH: 17029\nPIH to BHS: 13304\nYRT to YZP: 3713\nYRT to LAQ: 10363\nYRT to INH: 17154\nYRT to BHS: 15616\nLAQ to YZP: 11320\nLAQ to INH: 9262\nLAQ to BHS: 17164\nBHS to YZP: 13403\nBHS to INH: 11942\nINH to YZP: 18168\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62488,
"style": "rule"
}
|
{
"exact_answer": 62488,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HSV\", \"id\": 0}, {\"name\": \"RPR\", \"id\": 1}, {\"name\": \"IFO\", \"id\": 2}, {\"name\": \"PIH\", \"id\": 3}, {\"name\": \"YRT\", \"id\": 4}, {\"name\": \"LAQ\", \"id\": 5}, {\"name\": \"BHS\", \"id\": 6}, {\"name\": \"INH\", \"id\": 7}, {\"name\": \"YZP\", \"id\": 8}], \"links\": [{\"weight\": 3426, \"source\": 0, \"target\": 4}, {\"weight\": 13787, \"source\": 0, \"target\": 1}, {\"weight\": 4222, \"source\": 0, \"target\": 8}, {\"weight\": 2551, \"source\": 0, \"target\": 3}, {\"weight\": 9492, \"source\": 0, \"target\": 5}, {\"weight\": 9315, \"source\": 0, \"target\": 2}, {\"weight\": 14588, \"source\": 0, \"target\": 7}, {\"weight\": 14928, \"source\": 0, \"target\": 6}, {\"weight\": 15046, \"source\": 1, \"target\": 4}, {\"weight\": 13543, \"source\": 1, \"target\": 8}, {\"weight\": 14315, \"source\": 1, \"target\": 3}, {\"weight\": 7721, \"source\": 1, \"target\": 5}, {\"weight\": 6038, \"source\": 1, \"target\": 2}, {\"weight\": 8629, \"source\": 1, \"target\": 7}, {\"weight\": 9768, \"source\": 1, \"target\": 6}, {\"weight\": 10031, \"source\": 2, \"target\": 4}, {\"weight\": 10389, \"source\": 2, \"target\": 8}, {\"weight\": 10474, \"source\": 2, \"target\": 3}, {\"weight\": 3864, \"source\": 2, \"target\": 5}, {\"weight\": 9438, \"source\": 2, \"target\": 7}, {\"weight\": 15557, \"source\": 2, \"target\": 6}, {\"weight\": 3595, \"source\": 3, \"target\": 4}, {\"weight\": 2272, \"source\": 3, \"target\": 8}, {\"weight\": 11041, \"source\": 3, \"target\": 5}, {\"weight\": 17029, \"source\": 3, \"target\": 7}, {\"weight\": 13304, \"source\": 3, \"target\": 6}, {\"weight\": 3713, \"source\": 4, \"target\": 8}, {\"weight\": 10363, \"source\": 4, \"target\": 5}, {\"weight\": 17154, \"source\": 4, \"target\": 7}, {\"weight\": 15616, \"source\": 4, \"target\": 6}, {\"weight\": 11320, \"source\": 5, \"target\": 8}, {\"weight\": 9262, \"source\": 5, \"target\": 7}, {\"weight\": 17164, \"source\": 5, \"target\": 6}, {\"weight\": 13403, \"source\": 6, \"target\": 8}, {\"weight\": 11942, \"source\": 6, \"target\": 7}, {\"weight\": 18168, \"source\": 7, \"target\": 8}]}",
"id": 1804,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, RPR, IFO, PIH, YRT, LAQ, BHS, INH, YZP\n- Travel distances (in kilometers) between each pair of airports:\nHSV to YRT: 3426\nHSV to RPR: 13787\nHSV to YZP: 4222\nHSV to PIH: 2551\nHSV to LAQ: 9492\nHSV to IFO: 9315\nHSV to INH: 14588\nHSV to BHS: 14928\nRPR to YRT: 15046\nRPR to YZP: 13543\nRPR to PIH: 14315\nRPR to LAQ: 7721\nRPR to IFO: 6038\nRPR to INH: 8629\nRPR to BHS: 9768\nIFO to YRT: 10031\nIFO to YZP: 10389\nIFO to PIH: 10474\nIFO to LAQ: 3864\nIFO to INH: 9438\nIFO to BHS: 15557\nPIH to YRT: 3595\nPIH to YZP: 2272\nPIH to LAQ: 11041\nPIH to INH: 17029\nPIH to BHS: 13304\nYRT to YZP: 3713\nYRT to LAQ: 10363\nYRT to INH: 17154\nYRT to BHS: 15616\nLAQ to YZP: 11320\nLAQ to INH: 9262\nLAQ to BHS: 17164\nBHS to YZP: 13403\nBHS to INH: 11942\nINH to YZP: 18168\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LYI, SDG, PER, DOU, POI, RDM, ELU, YXH, AEP\n- Travel distances (in kilometers) between each pair of airports:\nLYI to DOU: 18596\nLYI to PER: 7518\nLYI to AEP: 19850\nLYI to POI: 18378\nLYI to RDM: 9427\nLYI to YXH: 9805\nLYI to ELU: 10164\nLYI to SDG: 6644\nSDG to DOU: 13774\nSDG to PER: 10656\nSDG to AEP: 14548\nSDG to POI: 15045\nSDG to RDM: 12738\nSDG to YXH: 11989\nSDG to ELU: 5184\nPER to DOU: 16625\nPER to AEP: 15763\nPER to POI: 16965\nPER to RDM: 15534\nPER to YXH: 16397\nPER to ELU: 14539\nDOU to AEP: 2203\nDOU to POI: 3692\nDOU to RDM: 10721\nDOU to YXH: 10813\nDOU to ELU: 9549\nPOI to AEP: 3040\nPOI to RDM: 9222\nPOI to YXH: 9503\nPOI to ELU: 11094\nRDM to AEP: 10997\nRDM to YXH: 1330\nRDM to ELU: 10173\nELU to AEP: 10761\nELU to YXH: 9417\nYXH to AEP: 11305\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58410,
"style": "rule"
}
|
{
"exact_answer": 58410,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LYI\", \"id\": 0}, {\"name\": \"SDG\", \"id\": 1}, {\"name\": \"PER\", \"id\": 2}, {\"name\": \"DOU\", \"id\": 3}, {\"name\": \"POI\", \"id\": 4}, {\"name\": \"RDM\", \"id\": 5}, {\"name\": \"ELU\", \"id\": 6}, {\"name\": \"YXH\", \"id\": 7}, {\"name\": \"AEP\", \"id\": 8}], \"links\": [{\"weight\": 18596, \"source\": 0, \"target\": 3}, {\"weight\": 7518, \"source\": 0, \"target\": 2}, {\"weight\": 19850, \"source\": 0, \"target\": 8}, {\"weight\": 18378, \"source\": 0, \"target\": 4}, {\"weight\": 9427, \"source\": 0, \"target\": 5}, {\"weight\": 9805, \"source\": 0, \"target\": 7}, {\"weight\": 10164, \"source\": 0, \"target\": 6}, {\"weight\": 6644, \"source\": 0, \"target\": 1}, {\"weight\": 13774, \"source\": 1, \"target\": 3}, {\"weight\": 10656, \"source\": 1, \"target\": 2}, {\"weight\": 14548, \"source\": 1, \"target\": 8}, {\"weight\": 15045, \"source\": 1, \"target\": 4}, {\"weight\": 12738, \"source\": 1, \"target\": 5}, {\"weight\": 11989, \"source\": 1, \"target\": 7}, {\"weight\": 5184, \"source\": 1, \"target\": 6}, {\"weight\": 16625, \"source\": 2, \"target\": 3}, {\"weight\": 15763, \"source\": 2, \"target\": 8}, {\"weight\": 16965, \"source\": 2, \"target\": 4}, {\"weight\": 15534, \"source\": 2, \"target\": 5}, {\"weight\": 16397, \"source\": 2, \"target\": 7}, {\"weight\": 14539, \"source\": 2, \"target\": 6}, {\"weight\": 2203, \"source\": 3, \"target\": 8}, {\"weight\": 3692, \"source\": 3, \"target\": 4}, {\"weight\": 10721, \"source\": 3, \"target\": 5}, {\"weight\": 10813, \"source\": 3, \"target\": 7}, {\"weight\": 9549, \"source\": 3, \"target\": 6}, {\"weight\": 3040, \"source\": 4, \"target\": 8}, {\"weight\": 9222, \"source\": 4, \"target\": 5}, {\"weight\": 9503, \"source\": 4, \"target\": 7}, {\"weight\": 11094, \"source\": 4, \"target\": 6}, {\"weight\": 10997, \"source\": 5, \"target\": 8}, {\"weight\": 1330, \"source\": 5, \"target\": 7}, {\"weight\": 10173, \"source\": 5, \"target\": 6}, {\"weight\": 10761, \"source\": 6, \"target\": 8}, {\"weight\": 9417, \"source\": 6, \"target\": 7}, {\"weight\": 11305, \"source\": 7, \"target\": 8}]}",
"id": 1805,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LYI, SDG, PER, DOU, POI, RDM, ELU, YXH, AEP\n- Travel distances (in kilometers) between each pair of airports:\nLYI to DOU: 18596\nLYI to PER: 7518\nLYI to AEP: 19850\nLYI to POI: 18378\nLYI to RDM: 9427\nLYI to YXH: 9805\nLYI to ELU: 10164\nLYI to SDG: 6644\nSDG to DOU: 13774\nSDG to PER: 10656\nSDG to AEP: 14548\nSDG to POI: 15045\nSDG to RDM: 12738\nSDG to YXH: 11989\nSDG to ELU: 5184\nPER to DOU: 16625\nPER to AEP: 15763\nPER to POI: 16965\nPER to RDM: 15534\nPER to YXH: 16397\nPER to ELU: 14539\nDOU to AEP: 2203\nDOU to POI: 3692\nDOU to RDM: 10721\nDOU to YXH: 10813\nDOU to ELU: 9549\nPOI to AEP: 3040\nPOI to RDM: 9222\nPOI to YXH: 9503\nPOI to ELU: 11094\nRDM to AEP: 10997\nRDM to YXH: 1330\nRDM to ELU: 10173\nELU to AEP: 10761\nELU to YXH: 9417\nYXH to AEP: 11305\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, CKZ, DPO, JHW, CLJ, DAX, NBX, HAU, JER\n- Travel distances (in kilometers) between each pair of airports:\nSPC to JER: 3228\nSPC to CLJ: 4134\nSPC to DAX: 12312\nSPC to HAU: 3968\nSPC to NBX: 16705\nSPC to DPO: 19235\nSPC to CKZ: 5364\nSPC to JHW: 6751\nCKZ to JER: 3486\nCKZ to CLJ: 1674\nCKZ to DAX: 8200\nCKZ to HAU: 3525\nCKZ to NBX: 12514\nCKZ to DPO: 15268\nCKZ to JHW: 9624\nDPO to JER: 17502\nDPO to CLJ: 15758\nDPO to DAX: 9007\nDPO to HAU: 16728\nDPO to NBX: 7206\nDPO to JHW: 16694\nJHW to JER: 6346\nJHW to CLJ: 8019\nJHW to DAX: 12303\nJHW to HAU: 6304\nJHW to NBX: 17852\nCLJ to JER: 1934\nCLJ to DAX: 8660\nCLJ to HAU: 2015\nCLJ to NBX: 13071\nDAX to JER: 9697\nDAX to HAU: 8687\nDAX to NBX: 6165\nNBX to JER: 14708\nNBX to HAU: 13904\nHAU to JER: 1228\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53161,
"style": "rule"
}
|
{
"exact_answer": 53161,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPC\", \"id\": 0}, {\"name\": \"CKZ\", \"id\": 1}, {\"name\": \"DPO\", \"id\": 2}, {\"name\": \"JHW\", \"id\": 3}, {\"name\": \"CLJ\", \"id\": 4}, {\"name\": \"DAX\", \"id\": 5}, {\"name\": \"NBX\", \"id\": 6}, {\"name\": \"HAU\", \"id\": 7}, {\"name\": \"JER\", \"id\": 8}], \"links\": [{\"weight\": 3228, \"source\": 0, \"target\": 8}, {\"weight\": 4134, \"source\": 0, \"target\": 4}, {\"weight\": 12312, \"source\": 0, \"target\": 5}, {\"weight\": 3968, \"source\": 0, \"target\": 7}, {\"weight\": 16705, \"source\": 0, \"target\": 6}, {\"weight\": 19235, \"source\": 0, \"target\": 2}, {\"weight\": 5364, \"source\": 0, \"target\": 1}, {\"weight\": 6751, \"source\": 0, \"target\": 3}, {\"weight\": 3486, \"source\": 1, \"target\": 8}, {\"weight\": 1674, \"source\": 1, \"target\": 4}, {\"weight\": 8200, \"source\": 1, \"target\": 5}, {\"weight\": 3525, \"source\": 1, \"target\": 7}, {\"weight\": 12514, \"source\": 1, \"target\": 6}, {\"weight\": 15268, \"source\": 1, \"target\": 2}, {\"weight\": 9624, \"source\": 1, \"target\": 3}, {\"weight\": 17502, \"source\": 2, \"target\": 8}, {\"weight\": 15758, \"source\": 2, \"target\": 4}, {\"weight\": 9007, \"source\": 2, \"target\": 5}, {\"weight\": 16728, \"source\": 2, \"target\": 7}, {\"weight\": 7206, \"source\": 2, \"target\": 6}, {\"weight\": 16694, \"source\": 2, \"target\": 3}, {\"weight\": 6346, \"source\": 3, \"target\": 8}, {\"weight\": 8019, \"source\": 3, \"target\": 4}, {\"weight\": 12303, \"source\": 3, \"target\": 5}, {\"weight\": 6304, \"source\": 3, \"target\": 7}, {\"weight\": 17852, \"source\": 3, \"target\": 6}, {\"weight\": 1934, \"source\": 4, \"target\": 8}, {\"weight\": 8660, \"source\": 4, \"target\": 5}, {\"weight\": 2015, \"source\": 4, \"target\": 7}, {\"weight\": 13071, \"source\": 4, \"target\": 6}, {\"weight\": 9697, \"source\": 5, \"target\": 8}, {\"weight\": 8687, \"source\": 5, \"target\": 7}, {\"weight\": 6165, \"source\": 5, \"target\": 6}, {\"weight\": 14708, \"source\": 6, \"target\": 8}, {\"weight\": 13904, \"source\": 6, \"target\": 7}, {\"weight\": 1228, \"source\": 7, \"target\": 8}]}",
"id": 1806,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, CKZ, DPO, JHW, CLJ, DAX, NBX, HAU, JER\n- Travel distances (in kilometers) between each pair of airports:\nSPC to JER: 3228\nSPC to CLJ: 4134\nSPC to DAX: 12312\nSPC to HAU: 3968\nSPC to NBX: 16705\nSPC to DPO: 19235\nSPC to CKZ: 5364\nSPC to JHW: 6751\nCKZ to JER: 3486\nCKZ to CLJ: 1674\nCKZ to DAX: 8200\nCKZ to HAU: 3525\nCKZ to NBX: 12514\nCKZ to DPO: 15268\nCKZ to JHW: 9624\nDPO to JER: 17502\nDPO to CLJ: 15758\nDPO to DAX: 9007\nDPO to HAU: 16728\nDPO to NBX: 7206\nDPO to JHW: 16694\nJHW to JER: 6346\nJHW to CLJ: 8019\nJHW to DAX: 12303\nJHW to HAU: 6304\nJHW to NBX: 17852\nCLJ to JER: 1934\nCLJ to DAX: 8660\nCLJ to HAU: 2015\nCLJ to NBX: 13071\nDAX to JER: 9697\nDAX to HAU: 8687\nDAX to NBX: 6165\nNBX to JER: 14708\nNBX to HAU: 13904\nHAU to JER: 1228\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GHE, DUB, CKG, DAX, ATQ, YUL, INC, KMJ, IMF\n- Travel distances (in kilometers) between each pair of airports:\nGHE to YUL: 4757\nGHE to CKG: 16213\nGHE to INC: 15676\nGHE to DUB: 9302\nGHE to IMF: 17731\nGHE to ATQ: 15672\nGHE to DAX: 16022\nGHE to KMJ: 14749\nDUB to YUL: 5210\nDUB to CKG: 8745\nDUB to INC: 8160\nDUB to IMF: 8810\nDUB to ATQ: 6752\nDUB to DAX: 9589\nDUB to KMJ: 9706\nCKG to INC: 976\nCKG to YUL: 12532\nCKG to IMF: 2728\nCKG to ATQ: 3319\nCKG to DAX: 1489\nCKG to KMJ: 2672\nDAX to YUL: 12341\nDAX to INC: 2200\nDAX to IMF: 2919\nDAX to ATQ: 3824\nDAX to KMJ: 2825\nATQ to YUL: 11559\nATQ to INC: 3521\nATQ to IMF: 2143\nATQ to KMJ: 5715\nYUL to INC: 11995\nYUL to IMF: 13596\nYUL to KMJ: 11739\nINC to IMF: 3230\nINC to KMJ: 2449\nKMJ to IMF: 5363\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41444,
"style": "rule"
}
|
{
"exact_answer": 41444,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GHE\", \"id\": 0}, {\"name\": \"DUB\", \"id\": 1}, {\"name\": \"CKG\", \"id\": 2}, {\"name\": \"DAX\", \"id\": 3}, {\"name\": \"ATQ\", \"id\": 4}, {\"name\": \"YUL\", \"id\": 5}, {\"name\": \"INC\", \"id\": 6}, {\"name\": \"KMJ\", \"id\": 7}, {\"name\": \"IMF\", \"id\": 8}], \"links\": [{\"weight\": 4757, \"source\": 0, \"target\": 5}, {\"weight\": 16213, \"source\": 0, \"target\": 2}, {\"weight\": 15676, \"source\": 0, \"target\": 6}, {\"weight\": 9302, \"source\": 0, \"target\": 1}, {\"weight\": 17731, \"source\": 0, \"target\": 8}, {\"weight\": 15672, \"source\": 0, \"target\": 4}, {\"weight\": 16022, \"source\": 0, \"target\": 3}, {\"weight\": 14749, \"source\": 0, \"target\": 7}, {\"weight\": 5210, \"source\": 1, \"target\": 5}, {\"weight\": 8745, \"source\": 1, \"target\": 2}, {\"weight\": 8160, \"source\": 1, \"target\": 6}, {\"weight\": 8810, \"source\": 1, \"target\": 8}, {\"weight\": 6752, \"source\": 1, \"target\": 4}, {\"weight\": 9589, \"source\": 1, \"target\": 3}, {\"weight\": 9706, \"source\": 1, \"target\": 7}, {\"weight\": 976, \"source\": 2, \"target\": 6}, {\"weight\": 12532, \"source\": 2, \"target\": 5}, {\"weight\": 2728, \"source\": 2, \"target\": 8}, {\"weight\": 3319, \"source\": 2, \"target\": 4}, {\"weight\": 1489, \"source\": 2, \"target\": 3}, {\"weight\": 2672, \"source\": 2, \"target\": 7}, {\"weight\": 12341, \"source\": 3, \"target\": 5}, {\"weight\": 2200, \"source\": 3, \"target\": 6}, {\"weight\": 2919, \"source\": 3, \"target\": 8}, {\"weight\": 3824, \"source\": 3, \"target\": 4}, {\"weight\": 2825, \"source\": 3, \"target\": 7}, {\"weight\": 11559, \"source\": 4, \"target\": 5}, {\"weight\": 3521, \"source\": 4, \"target\": 6}, {\"weight\": 2143, \"source\": 4, \"target\": 8}, {\"weight\": 5715, \"source\": 4, \"target\": 7}, {\"weight\": 11995, \"source\": 5, \"target\": 6}, {\"weight\": 13596, \"source\": 5, \"target\": 8}, {\"weight\": 11739, \"source\": 5, \"target\": 7}, {\"weight\": 3230, \"source\": 6, \"target\": 8}, {\"weight\": 2449, \"source\": 6, \"target\": 7}, {\"weight\": 5363, \"source\": 7, \"target\": 8}]}",
"id": 1807,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GHE, DUB, CKG, DAX, ATQ, YUL, INC, KMJ, IMF\n- Travel distances (in kilometers) between each pair of airports:\nGHE to YUL: 4757\nGHE to CKG: 16213\nGHE to INC: 15676\nGHE to DUB: 9302\nGHE to IMF: 17731\nGHE to ATQ: 15672\nGHE to DAX: 16022\nGHE to KMJ: 14749\nDUB to YUL: 5210\nDUB to CKG: 8745\nDUB to INC: 8160\nDUB to IMF: 8810\nDUB to ATQ: 6752\nDUB to DAX: 9589\nDUB to KMJ: 9706\nCKG to INC: 976\nCKG to YUL: 12532\nCKG to IMF: 2728\nCKG to ATQ: 3319\nCKG to DAX: 1489\nCKG to KMJ: 2672\nDAX to YUL: 12341\nDAX to INC: 2200\nDAX to IMF: 2919\nDAX to ATQ: 3824\nDAX to KMJ: 2825\nATQ to YUL: 11559\nATQ to INC: 3521\nATQ to IMF: 2143\nATQ to KMJ: 5715\nYUL to INC: 11995\nYUL to IMF: 13596\nYUL to KMJ: 11739\nINC to IMF: 3230\nINC to KMJ: 2449\nKMJ to IMF: 5363\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACC, BAV, ISE, MSW, HYG, SAF, PUQ, DAB, KGQ\n- Travel distances (in kilometers) between each pair of airports:\nACC to BAV: 11286\nACC to DAB: 9737\nACC to SAF: 11315\nACC to PUQ: 10222\nACC to KGQ: 9368\nACC to HYG: 13271\nACC to ISE: 5271\nACC to MSW: 4495\nBAV to DAB: 12684\nBAV to SAF: 11330\nBAV to PUQ: 21123\nBAV to KGQ: 11310\nBAV to HYG: 10404\nBAV to ISE: 7027\nBAV to MSW: 7718\nISE to DAB: 9955\nISE to SAF: 10725\nISE to PUQ: 14900\nISE to KGQ: 6536\nISE to HYG: 11486\nISE to MSW: 3542\nMSW to DAB: 12431\nMSW to SAF: 13382\nMSW to PUQ: 14379\nMSW to KGQ: 9240\nMSW to HYG: 14163\nHYG to DAB: 5257\nHYG to SAF: 3296\nHYG to PUQ: 13737\nHYG to KGQ: 9420\nSAF to DAB: 2647\nSAF to PUQ: 10930\nSAF to KGQ: 8659\nPUQ to DAB: 10356\nPUQ to KGQ: 16939\nDAB to KGQ: 8127\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61717,
"style": "rule"
}
|
{
"exact_answer": 61717,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACC\", \"id\": 0}, {\"name\": \"BAV\", \"id\": 1}, {\"name\": \"ISE\", \"id\": 2}, {\"name\": \"MSW\", \"id\": 3}, {\"name\": \"HYG\", \"id\": 4}, {\"name\": \"SAF\", \"id\": 5}, {\"name\": \"PUQ\", \"id\": 6}, {\"name\": \"DAB\", \"id\": 7}, {\"name\": \"KGQ\", \"id\": 8}], \"links\": [{\"weight\": 11286, \"source\": 0, \"target\": 1}, {\"weight\": 9737, \"source\": 0, \"target\": 7}, {\"weight\": 11315, \"source\": 0, \"target\": 5}, {\"weight\": 10222, \"source\": 0, \"target\": 6}, {\"weight\": 9368, \"source\": 0, \"target\": 8}, {\"weight\": 13271, \"source\": 0, \"target\": 4}, {\"weight\": 5271, \"source\": 0, \"target\": 2}, {\"weight\": 4495, \"source\": 0, \"target\": 3}, {\"weight\": 12684, \"source\": 1, \"target\": 7}, {\"weight\": 11330, \"source\": 1, \"target\": 5}, {\"weight\": 21123, \"source\": 1, \"target\": 6}, {\"weight\": 11310, \"source\": 1, \"target\": 8}, {\"weight\": 10404, \"source\": 1, \"target\": 4}, {\"weight\": 7027, \"source\": 1, \"target\": 2}, {\"weight\": 7718, \"source\": 1, \"target\": 3}, {\"weight\": 9955, \"source\": 2, \"target\": 7}, {\"weight\": 10725, \"source\": 2, \"target\": 5}, {\"weight\": 14900, \"source\": 2, \"target\": 6}, {\"weight\": 6536, \"source\": 2, \"target\": 8}, {\"weight\": 11486, \"source\": 2, \"target\": 4}, {\"weight\": 3542, \"source\": 2, \"target\": 3}, {\"weight\": 12431, \"source\": 3, \"target\": 7}, {\"weight\": 13382, \"source\": 3, \"target\": 5}, {\"weight\": 14379, \"source\": 3, \"target\": 6}, {\"weight\": 9240, \"source\": 3, \"target\": 8}, {\"weight\": 14163, \"source\": 3, \"target\": 4}, {\"weight\": 5257, \"source\": 4, \"target\": 7}, {\"weight\": 3296, \"source\": 4, \"target\": 5}, {\"weight\": 13737, \"source\": 4, \"target\": 6}, {\"weight\": 9420, \"source\": 4, \"target\": 8}, {\"weight\": 2647, \"source\": 5, \"target\": 7}, {\"weight\": 10930, \"source\": 5, \"target\": 6}, {\"weight\": 8659, \"source\": 5, \"target\": 8}, {\"weight\": 10356, \"source\": 6, \"target\": 7}, {\"weight\": 16939, \"source\": 6, \"target\": 8}, {\"weight\": 8127, \"source\": 7, \"target\": 8}]}",
"id": 1808,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACC, BAV, ISE, MSW, HYG, SAF, PUQ, DAB, KGQ\n- Travel distances (in kilometers) between each pair of airports:\nACC to BAV: 11286\nACC to DAB: 9737\nACC to SAF: 11315\nACC to PUQ: 10222\nACC to KGQ: 9368\nACC to HYG: 13271\nACC to ISE: 5271\nACC to MSW: 4495\nBAV to DAB: 12684\nBAV to SAF: 11330\nBAV to PUQ: 21123\nBAV to KGQ: 11310\nBAV to HYG: 10404\nBAV to ISE: 7027\nBAV to MSW: 7718\nISE to DAB: 9955\nISE to SAF: 10725\nISE to PUQ: 14900\nISE to KGQ: 6536\nISE to HYG: 11486\nISE to MSW: 3542\nMSW to DAB: 12431\nMSW to SAF: 13382\nMSW to PUQ: 14379\nMSW to KGQ: 9240\nMSW to HYG: 14163\nHYG to DAB: 5257\nHYG to SAF: 3296\nHYG to PUQ: 13737\nHYG to KGQ: 9420\nSAF to DAB: 2647\nSAF to PUQ: 10930\nSAF to KGQ: 8659\nPUQ to DAB: 10356\nPUQ to KGQ: 16939\nDAB to KGQ: 8127\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JED, CFS, HDM, MMU, NGQ, LSP, ARW, SYB, LXG\n- Travel distances (in kilometers) between each pair of airports:\nJED to SYB: 15095\nJED to LSP: 11728\nJED to HDM: 3571\nJED to NGQ: 6353\nJED to MMU: 11990\nJED to CFS: 13932\nJED to LXG: 7316\nJED to ARW: 4675\nCFS to SYB: 13549\nCFS to LSP: 17057\nCFS to HDM: 13758\nCFS to NGQ: 11324\nCFS to MMU: 16447\nCFS to LXG: 8601\nCFS to ARW: 17885\nHDM to SYB: 16460\nHDM to LSP: 13730\nHDM to NGQ: 5361\nHDM to MMU: 13481\nHDM to LXG: 6516\nHDM to ARW: 6245\nMMU to SYB: 6347\nMMU to LSP: 4237\nMMU to NGQ: 14679\nMMU to LXG: 15067\nMMU to ARW: 9147\nNGQ to SYB: 15184\nNGQ to LSP: 15757\nNGQ to LXG: 3469\nNGQ to ARW: 8788\nLSP to SYB: 8812\nLSP to LXG: 17394\nLSP to ARW: 9423\nARW to SYB: 12338\nARW to LXG: 10643\nSYB to LXG: 14652\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59233,
"style": "rule"
}
|
{
"exact_answer": 59233,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JED\", \"id\": 0}, {\"name\": \"CFS\", \"id\": 1}, {\"name\": \"HDM\", \"id\": 2}, {\"name\": \"MMU\", \"id\": 3}, {\"name\": \"NGQ\", \"id\": 4}, {\"name\": \"LSP\", \"id\": 5}, {\"name\": \"ARW\", \"id\": 6}, {\"name\": \"SYB\", \"id\": 7}, {\"name\": \"LXG\", \"id\": 8}], \"links\": [{\"weight\": 15095, \"source\": 0, \"target\": 7}, {\"weight\": 11728, \"source\": 0, \"target\": 5}, {\"weight\": 3571, \"source\": 0, \"target\": 2}, {\"weight\": 6353, \"source\": 0, \"target\": 4}, {\"weight\": 11990, \"source\": 0, \"target\": 3}, {\"weight\": 13932, \"source\": 0, \"target\": 1}, {\"weight\": 7316, \"source\": 0, \"target\": 8}, {\"weight\": 4675, \"source\": 0, \"target\": 6}, {\"weight\": 13549, \"source\": 1, \"target\": 7}, {\"weight\": 17057, \"source\": 1, \"target\": 5}, {\"weight\": 13758, \"source\": 1, \"target\": 2}, {\"weight\": 11324, \"source\": 1, \"target\": 4}, {\"weight\": 16447, \"source\": 1, \"target\": 3}, {\"weight\": 8601, \"source\": 1, \"target\": 8}, {\"weight\": 17885, \"source\": 1, \"target\": 6}, {\"weight\": 16460, \"source\": 2, \"target\": 7}, {\"weight\": 13730, \"source\": 2, \"target\": 5}, {\"weight\": 5361, \"source\": 2, \"target\": 4}, {\"weight\": 13481, \"source\": 2, \"target\": 3}, {\"weight\": 6516, \"source\": 2, \"target\": 8}, {\"weight\": 6245, \"source\": 2, \"target\": 6}, {\"weight\": 6347, \"source\": 3, \"target\": 7}, {\"weight\": 4237, \"source\": 3, \"target\": 5}, {\"weight\": 14679, \"source\": 3, \"target\": 4}, {\"weight\": 15067, \"source\": 3, \"target\": 8}, {\"weight\": 9147, \"source\": 3, \"target\": 6}, {\"weight\": 15184, \"source\": 4, \"target\": 7}, {\"weight\": 15757, \"source\": 4, \"target\": 5}, {\"weight\": 3469, \"source\": 4, \"target\": 8}, {\"weight\": 8788, \"source\": 4, \"target\": 6}, {\"weight\": 8812, \"source\": 5, \"target\": 7}, {\"weight\": 17394, \"source\": 5, \"target\": 8}, {\"weight\": 9423, \"source\": 5, \"target\": 6}, {\"weight\": 12338, \"source\": 6, \"target\": 7}, {\"weight\": 10643, \"source\": 6, \"target\": 8}, {\"weight\": 14652, \"source\": 7, \"target\": 8}]}",
"id": 1809,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JED, CFS, HDM, MMU, NGQ, LSP, ARW, SYB, LXG\n- Travel distances (in kilometers) between each pair of airports:\nJED to SYB: 15095\nJED to LSP: 11728\nJED to HDM: 3571\nJED to NGQ: 6353\nJED to MMU: 11990\nJED to CFS: 13932\nJED to LXG: 7316\nJED to ARW: 4675\nCFS to SYB: 13549\nCFS to LSP: 17057\nCFS to HDM: 13758\nCFS to NGQ: 11324\nCFS to MMU: 16447\nCFS to LXG: 8601\nCFS to ARW: 17885\nHDM to SYB: 16460\nHDM to LSP: 13730\nHDM to NGQ: 5361\nHDM to MMU: 13481\nHDM to LXG: 6516\nHDM to ARW: 6245\nMMU to SYB: 6347\nMMU to LSP: 4237\nMMU to NGQ: 14679\nMMU to LXG: 15067\nMMU to ARW: 9147\nNGQ to SYB: 15184\nNGQ to LSP: 15757\nNGQ to LXG: 3469\nNGQ to ARW: 8788\nLSP to SYB: 8812\nLSP to LXG: 17394\nLSP to ARW: 9423\nARW to SYB: 12338\nARW to LXG: 10643\nSYB to LXG: 14652\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZIH, ELS, HKN, ISE, CYB, BYO, GHA, MOF, SFL\n- Travel distances (in kilometers) between each pair of airports:\nZIH to BYO: 8864\nZIH to GHA: 10531\nZIH to HKN: 15322\nZIH to MOF: 17618\nZIH to CYB: 2567\nZIH to ELS: 15964\nZIH to ISE: 12101\nZIH to SFL: 9544\nELS to BYO: 9693\nELS to GHA: 9137\nELS to HKN: 13915\nELS to MOF: 11521\nELS to CYB: 14596\nELS to ISE: 8653\nELS to SFL: 8235\nHKN to BYO: 18414\nHKN to GHA: 16129\nHKN to MOF: 4859\nHKN to CYB: 17060\nHKN to ISE: 14062\nHKN to SFL: 19592\nISE to BYO: 12249\nISE to GHA: 2871\nISE to MOF: 11552\nISE to CYB: 10651\nISE to SFL: 6387\nCYB to BYO: 7538\nCYB to GHA: 8927\nCYB to MOF: 19027\nCYB to SFL: 8265\nBYO to GHA: 9798\nBYO to MOF: 20030\nBYO to SFL: 6076\nGHA to MOF: 13619\nGHA to SFL: 3936\nMOF to SFL: 16658\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63343,
"style": "rule"
}
|
{
"exact_answer": 63343,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ZIH\", \"id\": 0}, {\"name\": \"ELS\", \"id\": 1}, {\"name\": \"HKN\", \"id\": 2}, {\"name\": \"ISE\", \"id\": 3}, {\"name\": \"CYB\", \"id\": 4}, {\"name\": \"BYO\", \"id\": 5}, {\"name\": \"GHA\", \"id\": 6}, {\"name\": \"MOF\", \"id\": 7}, {\"name\": \"SFL\", \"id\": 8}], \"links\": [{\"weight\": 8864, \"source\": 0, \"target\": 5}, {\"weight\": 10531, \"source\": 0, \"target\": 6}, {\"weight\": 15322, \"source\": 0, \"target\": 2}, {\"weight\": 17618, \"source\": 0, \"target\": 7}, {\"weight\": 2567, \"source\": 0, \"target\": 4}, {\"weight\": 15964, \"source\": 0, \"target\": 1}, {\"weight\": 12101, \"source\": 0, \"target\": 3}, {\"weight\": 9544, \"source\": 0, \"target\": 8}, {\"weight\": 9693, \"source\": 1, \"target\": 5}, {\"weight\": 9137, \"source\": 1, \"target\": 6}, {\"weight\": 13915, \"source\": 1, \"target\": 2}, {\"weight\": 11521, \"source\": 1, \"target\": 7}, {\"weight\": 14596, \"source\": 1, \"target\": 4}, {\"weight\": 8653, \"source\": 1, \"target\": 3}, {\"weight\": 8235, \"source\": 1, \"target\": 8}, {\"weight\": 18414, \"source\": 2, \"target\": 5}, {\"weight\": 16129, \"source\": 2, \"target\": 6}, {\"weight\": 4859, \"source\": 2, \"target\": 7}, {\"weight\": 17060, \"source\": 2, \"target\": 4}, {\"weight\": 14062, \"source\": 2, \"target\": 3}, {\"weight\": 19592, \"source\": 2, \"target\": 8}, {\"weight\": 12249, \"source\": 3, \"target\": 5}, {\"weight\": 2871, \"source\": 3, \"target\": 6}, {\"weight\": 11552, \"source\": 3, \"target\": 7}, {\"weight\": 10651, \"source\": 3, \"target\": 4}, {\"weight\": 6387, \"source\": 3, \"target\": 8}, {\"weight\": 7538, \"source\": 4, \"target\": 5}, {\"weight\": 8927, \"source\": 4, \"target\": 6}, {\"weight\": 19027, \"source\": 4, \"target\": 7}, {\"weight\": 8265, \"source\": 4, \"target\": 8}, {\"weight\": 9798, \"source\": 5, \"target\": 6}, {\"weight\": 20030, \"source\": 5, \"target\": 7}, {\"weight\": 6076, \"source\": 5, \"target\": 8}, {\"weight\": 13619, \"source\": 6, \"target\": 7}, {\"weight\": 3936, \"source\": 6, \"target\": 8}, {\"weight\": 16658, \"source\": 7, \"target\": 8}]}",
"id": 1810,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ZIH, ELS, HKN, ISE, CYB, BYO, GHA, MOF, SFL\n- Travel distances (in kilometers) between each pair of airports:\nZIH to BYO: 8864\nZIH to GHA: 10531\nZIH to HKN: 15322\nZIH to MOF: 17618\nZIH to CYB: 2567\nZIH to ELS: 15964\nZIH to ISE: 12101\nZIH to SFL: 9544\nELS to BYO: 9693\nELS to GHA: 9137\nELS to HKN: 13915\nELS to MOF: 11521\nELS to CYB: 14596\nELS to ISE: 8653\nELS to SFL: 8235\nHKN to BYO: 18414\nHKN to GHA: 16129\nHKN to MOF: 4859\nHKN to CYB: 17060\nHKN to ISE: 14062\nHKN to SFL: 19592\nISE to BYO: 12249\nISE to GHA: 2871\nISE to MOF: 11552\nISE to CYB: 10651\nISE to SFL: 6387\nCYB to BYO: 7538\nCYB to GHA: 8927\nCYB to MOF: 19027\nCYB to SFL: 8265\nBYO to GHA: 9798\nBYO to MOF: 20030\nBYO to SFL: 6076\nGHA to MOF: 13619\nGHA to SFL: 3936\nMOF to SFL: 16658\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, FNT, POP, JNZ, OKL, NLT, LTN, GGG, WKJ\n- Travel distances (in kilometers) between each pair of airports:\nAGB to GGG: 9370\nAGB to FNT: 7762\nAGB to POP: 8264\nAGB to JNZ: 10247\nAGB to NLT: 7436\nAGB to LTN: 1739\nAGB to OKL: 15715\nAGB to WKJ: 10770\nFNT to GGG: 1873\nFNT to POP: 2926\nFNT to JNZ: 11974\nFNT to NLT: 12071\nFNT to LTN: 6235\nFNT to OKL: 18419\nFNT to WKJ: 11418\nPOP to GGG: 3227\nPOP to JNZ: 14397\nPOP to NLT: 13500\nPOP to LTN: 7523\nPOP to OKL: 21003\nPOP to WKJ: 14117\nJNZ to GGG: 12242\nJNZ to NLT: 3777\nJNZ to LTN: 9259\nJNZ to OKL: 7885\nJNZ to WKJ: 2810\nOKL to GGG: 18627\nOKL to NLT: 9511\nOKL to LTN: 15250\nOKL to WKJ: 9041\nNLT to GGG: 13652\nNLT to LTN: 6551\nNLT to WKJ: 5163\nLTN to GGG: 7843\nLTN to WKJ: 9859\nGGG to WKJ: 11626\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53185,
"style": "rule"
}
|
{
"exact_answer": 53185,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AGB\", \"id\": 0}, {\"name\": \"FNT\", \"id\": 1}, {\"name\": \"POP\", \"id\": 2}, {\"name\": \"JNZ\", \"id\": 3}, {\"name\": \"OKL\", \"id\": 4}, {\"name\": \"NLT\", \"id\": 5}, {\"name\": \"LTN\", \"id\": 6}, {\"name\": \"GGG\", \"id\": 7}, {\"name\": \"WKJ\", \"id\": 8}], \"links\": [{\"weight\": 9370, \"source\": 0, \"target\": 7}, {\"weight\": 7762, \"source\": 0, \"target\": 1}, {\"weight\": 8264, \"source\": 0, \"target\": 2}, {\"weight\": 10247, \"source\": 0, \"target\": 3}, {\"weight\": 7436, \"source\": 0, \"target\": 5}, {\"weight\": 1739, \"source\": 0, \"target\": 6}, {\"weight\": 15715, \"source\": 0, \"target\": 4}, {\"weight\": 10770, \"source\": 0, \"target\": 8}, {\"weight\": 1873, \"source\": 1, \"target\": 7}, {\"weight\": 2926, \"source\": 1, \"target\": 2}, {\"weight\": 11974, \"source\": 1, \"target\": 3}, {\"weight\": 12071, \"source\": 1, \"target\": 5}, {\"weight\": 6235, \"source\": 1, \"target\": 6}, {\"weight\": 18419, \"source\": 1, \"target\": 4}, {\"weight\": 11418, \"source\": 1, \"target\": 8}, {\"weight\": 3227, \"source\": 2, \"target\": 7}, {\"weight\": 14397, \"source\": 2, \"target\": 3}, {\"weight\": 13500, \"source\": 2, \"target\": 5}, {\"weight\": 7523, \"source\": 2, \"target\": 6}, {\"weight\": 21003, \"source\": 2, \"target\": 4}, {\"weight\": 14117, \"source\": 2, \"target\": 8}, {\"weight\": 12242, \"source\": 3, \"target\": 7}, {\"weight\": 3777, \"source\": 3, \"target\": 5}, {\"weight\": 9259, \"source\": 3, \"target\": 6}, {\"weight\": 7885, \"source\": 3, \"target\": 4}, {\"weight\": 2810, \"source\": 3, \"target\": 8}, {\"weight\": 18627, \"source\": 4, \"target\": 7}, {\"weight\": 9511, \"source\": 4, \"target\": 5}, {\"weight\": 15250, \"source\": 4, \"target\": 6}, {\"weight\": 9041, \"source\": 4, \"target\": 8}, {\"weight\": 13652, \"source\": 5, \"target\": 7}, {\"weight\": 6551, \"source\": 5, \"target\": 6}, {\"weight\": 5163, \"source\": 5, \"target\": 8}, {\"weight\": 7843, \"source\": 6, \"target\": 7}, {\"weight\": 9859, \"source\": 6, \"target\": 8}, {\"weight\": 11626, \"source\": 7, \"target\": 8}]}",
"id": 1811,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGB, FNT, POP, JNZ, OKL, NLT, LTN, GGG, WKJ\n- Travel distances (in kilometers) between each pair of airports:\nAGB to GGG: 9370\nAGB to FNT: 7762\nAGB to POP: 8264\nAGB to JNZ: 10247\nAGB to NLT: 7436\nAGB to LTN: 1739\nAGB to OKL: 15715\nAGB to WKJ: 10770\nFNT to GGG: 1873\nFNT to POP: 2926\nFNT to JNZ: 11974\nFNT to NLT: 12071\nFNT to LTN: 6235\nFNT to OKL: 18419\nFNT to WKJ: 11418\nPOP to GGG: 3227\nPOP to JNZ: 14397\nPOP to NLT: 13500\nPOP to LTN: 7523\nPOP to OKL: 21003\nPOP to WKJ: 14117\nJNZ to GGG: 12242\nJNZ to NLT: 3777\nJNZ to LTN: 9259\nJNZ to OKL: 7885\nJNZ to WKJ: 2810\nOKL to GGG: 18627\nOKL to NLT: 9511\nOKL to LTN: 15250\nOKL to WKJ: 9041\nNLT to GGG: 13652\nNLT to LTN: 6551\nNLT to WKJ: 5163\nLTN to GGG: 7843\nLTN to WKJ: 9859\nGGG to WKJ: 11626\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYO, IOT, BYC, CJA, BSD, ICT, BMI, BKS, LCH\n- Travel distances (in kilometers) between each pair of airports:\nSYO to BYC: 17764\nSYO to BMI: 10826\nSYO to ICT: 10383\nSYO to LCH: 11213\nSYO to BSD: 4445\nSYO to BKS: 6640\nSYO to IOT: 13089\nSYO to CJA: 16458\nIOT to BYC: 13615\nIOT to BMI: 7257\nIOT to ICT: 8056\nIOT to LCH: 8676\nIOT to BSD: 12287\nIOT to BKS: 14582\nIOT to CJA: 12827\nBYC to BMI: 7480\nBYC to ICT: 7692\nBYC to LCH: 7023\nBYC to BSD: 19625\nBYC to BKS: 19528\nBYC to CJA: 2434\nCJA to BMI: 6557\nCJA to ICT: 6499\nCJA to LCH: 5830\nCJA to BSD: 19657\nCJA to BKS: 20422\nBSD to BMI: 13224\nBSD to ICT: 13430\nBSD to LCH: 14235\nBSD to BKS: 3783\nICT to BMI: 1131\nICT to LCH: 1003\nICT to BKS: 16299\nBMI to LCH: 1584\nBMI to BKS: 16211\nBKS to LCH: 17129\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57097,
"style": "rule"
}
|
{
"exact_answer": 57097,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SYO\", \"id\": 0}, {\"name\": \"IOT\", \"id\": 1}, {\"name\": \"BYC\", \"id\": 2}, {\"name\": \"CJA\", \"id\": 3}, {\"name\": \"BSD\", \"id\": 4}, {\"name\": \"ICT\", \"id\": 5}, {\"name\": \"BMI\", \"id\": 6}, {\"name\": \"BKS\", \"id\": 7}, {\"name\": \"LCH\", \"id\": 8}], \"links\": [{\"weight\": 17764, \"source\": 0, \"target\": 2}, {\"weight\": 10826, \"source\": 0, \"target\": 6}, {\"weight\": 10383, \"source\": 0, \"target\": 5}, {\"weight\": 11213, \"source\": 0, \"target\": 8}, {\"weight\": 4445, \"source\": 0, \"target\": 4}, {\"weight\": 6640, \"source\": 0, \"target\": 7}, {\"weight\": 13089, \"source\": 0, \"target\": 1}, {\"weight\": 16458, \"source\": 0, \"target\": 3}, {\"weight\": 13615, \"source\": 1, \"target\": 2}, {\"weight\": 7257, \"source\": 1, \"target\": 6}, {\"weight\": 8056, \"source\": 1, \"target\": 5}, {\"weight\": 8676, \"source\": 1, \"target\": 8}, {\"weight\": 12287, \"source\": 1, \"target\": 4}, {\"weight\": 14582, \"source\": 1, \"target\": 7}, {\"weight\": 12827, \"source\": 1, \"target\": 3}, {\"weight\": 7480, \"source\": 2, \"target\": 6}, {\"weight\": 7692, \"source\": 2, \"target\": 5}, {\"weight\": 7023, \"source\": 2, \"target\": 8}, {\"weight\": 19625, \"source\": 2, \"target\": 4}, {\"weight\": 19528, \"source\": 2, \"target\": 7}, {\"weight\": 2434, \"source\": 2, \"target\": 3}, {\"weight\": 6557, \"source\": 3, \"target\": 6}, {\"weight\": 6499, \"source\": 3, \"target\": 5}, {\"weight\": 5830, \"source\": 3, \"target\": 8}, {\"weight\": 19657, \"source\": 3, \"target\": 4}, {\"weight\": 20422, \"source\": 3, \"target\": 7}, {\"weight\": 13224, \"source\": 4, \"target\": 6}, {\"weight\": 13430, \"source\": 4, \"target\": 5}, {\"weight\": 14235, \"source\": 4, \"target\": 8}, {\"weight\": 3783, \"source\": 4, \"target\": 7}, {\"weight\": 1131, \"source\": 5, \"target\": 6}, {\"weight\": 1003, \"source\": 5, \"target\": 8}, {\"weight\": 16299, \"source\": 5, \"target\": 7}, {\"weight\": 1584, \"source\": 6, \"target\": 8}, {\"weight\": 16211, \"source\": 6, \"target\": 7}, {\"weight\": 17129, \"source\": 7, \"target\": 8}]}",
"id": 1812,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SYO, IOT, BYC, CJA, BSD, ICT, BMI, BKS, LCH\n- Travel distances (in kilometers) between each pair of airports:\nSYO to BYC: 17764\nSYO to BMI: 10826\nSYO to ICT: 10383\nSYO to LCH: 11213\nSYO to BSD: 4445\nSYO to BKS: 6640\nSYO to IOT: 13089\nSYO to CJA: 16458\nIOT to BYC: 13615\nIOT to BMI: 7257\nIOT to ICT: 8056\nIOT to LCH: 8676\nIOT to BSD: 12287\nIOT to BKS: 14582\nIOT to CJA: 12827\nBYC to BMI: 7480\nBYC to ICT: 7692\nBYC to LCH: 7023\nBYC to BSD: 19625\nBYC to BKS: 19528\nBYC to CJA: 2434\nCJA to BMI: 6557\nCJA to ICT: 6499\nCJA to LCH: 5830\nCJA to BSD: 19657\nCJA to BKS: 20422\nBSD to BMI: 13224\nBSD to ICT: 13430\nBSD to LCH: 14235\nBSD to BKS: 3783\nICT to BMI: 1131\nICT to LCH: 1003\nICT to BKS: 16299\nBMI to LCH: 1584\nBMI to BKS: 16211\nBKS to LCH: 17129\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGE, MGH, ZAG, NRT, MJF, CYB, KIS, UEL, FAY\n- Travel distances (in kilometers) between each pair of airports:\nKGE to ZAG: 15806\nKGE to KIS: 14831\nKGE to NRT: 6841\nKGE to MGH: 14822\nKGE to FAY: 14941\nKGE to CYB: 15557\nKGE to UEL: 15538\nKGE to MJF: 15837\nMGH to ZAG: 9032\nMGH to KIS: 3754\nMGH to NRT: 14198\nMGH to FAY: 14136\nMGH to CYB: 14391\nMGH to UEL: 1842\nMGH to MJF: 10966\nZAG to KIS: 6029\nZAG to NRT: 9374\nZAG to FAY: 7704\nZAG to CYB: 9130\nZAG to UEL: 8301\nZAG to MJF: 2280\nNRT to KIS: 11590\nNRT to FAY: 11226\nNRT to CYB: 12640\nNRT to UEL: 13780\nNRT to MJF: 9068\nMJF to KIS: 8100\nMJF to FAY: 6863\nMJF to CYB: 8494\nMJF to UEL: 10372\nCYB to KIS: 14581\nCYB to FAY: 1918\nCYB to UEL: 15107\nKIS to FAY: 13355\nKIS to UEL: 2832\nUEL to FAY: 14852\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56067,
"style": "rule"
}
|
{
"exact_answer": 56067,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KGE\", \"id\": 0}, {\"name\": \"MGH\", \"id\": 1}, {\"name\": \"ZAG\", \"id\": 2}, {\"name\": \"NRT\", \"id\": 3}, {\"name\": \"MJF\", \"id\": 4}, {\"name\": \"CYB\", \"id\": 5}, {\"name\": \"KIS\", \"id\": 6}, {\"name\": \"UEL\", \"id\": 7}, {\"name\": \"FAY\", \"id\": 8}], \"links\": [{\"weight\": 15806, \"source\": 0, \"target\": 2}, {\"weight\": 14831, \"source\": 0, \"target\": 6}, {\"weight\": 6841, \"source\": 0, \"target\": 3}, {\"weight\": 14822, \"source\": 0, \"target\": 1}, {\"weight\": 14941, \"source\": 0, \"target\": 8}, {\"weight\": 15557, \"source\": 0, \"target\": 5}, {\"weight\": 15538, \"source\": 0, \"target\": 7}, {\"weight\": 15837, \"source\": 0, \"target\": 4}, {\"weight\": 9032, \"source\": 1, \"target\": 2}, {\"weight\": 3754, \"source\": 1, \"target\": 6}, {\"weight\": 14198, \"source\": 1, \"target\": 3}, {\"weight\": 14136, \"source\": 1, \"target\": 8}, {\"weight\": 14391, \"source\": 1, \"target\": 5}, {\"weight\": 1842, \"source\": 1, \"target\": 7}, {\"weight\": 10966, \"source\": 1, \"target\": 4}, {\"weight\": 6029, \"source\": 2, \"target\": 6}, {\"weight\": 9374, \"source\": 2, \"target\": 3}, {\"weight\": 7704, \"source\": 2, \"target\": 8}, {\"weight\": 9130, \"source\": 2, \"target\": 5}, {\"weight\": 8301, \"source\": 2, \"target\": 7}, {\"weight\": 2280, \"source\": 2, \"target\": 4}, {\"weight\": 11590, \"source\": 3, \"target\": 6}, {\"weight\": 11226, \"source\": 3, \"target\": 8}, {\"weight\": 12640, \"source\": 3, \"target\": 5}, {\"weight\": 13780, \"source\": 3, \"target\": 7}, {\"weight\": 9068, \"source\": 3, \"target\": 4}, {\"weight\": 8100, \"source\": 4, \"target\": 6}, {\"weight\": 6863, \"source\": 4, \"target\": 8}, {\"weight\": 8494, \"source\": 4, \"target\": 5}, {\"weight\": 10372, \"source\": 4, \"target\": 7}, {\"weight\": 14581, \"source\": 5, \"target\": 6}, {\"weight\": 1918, \"source\": 5, \"target\": 8}, {\"weight\": 15107, \"source\": 5, \"target\": 7}, {\"weight\": 13355, \"source\": 6, \"target\": 8}, {\"weight\": 2832, \"source\": 6, \"target\": 7}, {\"weight\": 14852, \"source\": 7, \"target\": 8}]}",
"id": 1813,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KGE, MGH, ZAG, NRT, MJF, CYB, KIS, UEL, FAY\n- Travel distances (in kilometers) between each pair of airports:\nKGE to ZAG: 15806\nKGE to KIS: 14831\nKGE to NRT: 6841\nKGE to MGH: 14822\nKGE to FAY: 14941\nKGE to CYB: 15557\nKGE to UEL: 15538\nKGE to MJF: 15837\nMGH to ZAG: 9032\nMGH to KIS: 3754\nMGH to NRT: 14198\nMGH to FAY: 14136\nMGH to CYB: 14391\nMGH to UEL: 1842\nMGH to MJF: 10966\nZAG to KIS: 6029\nZAG to NRT: 9374\nZAG to FAY: 7704\nZAG to CYB: 9130\nZAG to UEL: 8301\nZAG to MJF: 2280\nNRT to KIS: 11590\nNRT to FAY: 11226\nNRT to CYB: 12640\nNRT to UEL: 13780\nNRT to MJF: 9068\nMJF to KIS: 8100\nMJF to FAY: 6863\nMJF to CYB: 8494\nMJF to UEL: 10372\nCYB to KIS: 14581\nCYB to FAY: 1918\nCYB to UEL: 15107\nKIS to FAY: 13355\nKIS to UEL: 2832\nUEL to FAY: 14852\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, JQE, PEG, BLQ, EOI, SAF, NUL, BXU, NBE\n- Travel distances (in kilometers) between each pair of airports:\nFOE to BXU: 14312\nFOE to BLQ: 8232\nFOE to NUL: 6205\nFOE to JQE: 5057\nFOE to SAF: 2650\nFOE to NBE: 8956\nFOE to PEG: 8442\nFOE to EOI: 7102\nJQE to BXU: 17376\nJQE to BLQ: 10483\nJQE to NUL: 9206\nJQE to SAF: 4495\nJQE to NBE: 10956\nJQE to PEG: 10846\nJQE to EOI: 9826\nPEG to BXU: 11488\nPEG to BLQ: 1131\nPEG to NUL: 11960\nPEG to SAF: 9420\nPEG to NBE: 1228\nPEG to EOI: 2184\nBLQ to BXU: 11212\nBLQ to NUL: 11772\nBLQ to SAF: 9148\nBLQ to NBE: 1365\nBLQ to EOI: 1918\nEOI to BXU: 11563\nEOI to NUL: 10483\nEOI to SAF: 7943\nEOI to NBE: 2770\nSAF to BXU: 13282\nSAF to NUL: 5075\nSAF to NBE: 10026\nNUL to BXU: 14100\nNUL to NBE: 12566\nBXU to NBE: 11677\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51783,
"style": "rule"
}
|
{
"exact_answer": 51783,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FOE\", \"id\": 0}, {\"name\": \"JQE\", \"id\": 1}, {\"name\": \"PEG\", \"id\": 2}, {\"name\": \"BLQ\", \"id\": 3}, {\"name\": \"EOI\", \"id\": 4}, {\"name\": \"SAF\", \"id\": 5}, {\"name\": \"NUL\", \"id\": 6}, {\"name\": \"BXU\", \"id\": 7}, {\"name\": \"NBE\", \"id\": 8}], \"links\": [{\"weight\": 14312, \"source\": 0, \"target\": 7}, {\"weight\": 8232, \"source\": 0, \"target\": 3}, {\"weight\": 6205, \"source\": 0, \"target\": 6}, {\"weight\": 5057, \"source\": 0, \"target\": 1}, {\"weight\": 2650, \"source\": 0, \"target\": 5}, {\"weight\": 8956, \"source\": 0, \"target\": 8}, {\"weight\": 8442, \"source\": 0, \"target\": 2}, {\"weight\": 7102, \"source\": 0, \"target\": 4}, {\"weight\": 17376, \"source\": 1, \"target\": 7}, {\"weight\": 10483, \"source\": 1, \"target\": 3}, {\"weight\": 9206, \"source\": 1, \"target\": 6}, {\"weight\": 4495, \"source\": 1, \"target\": 5}, {\"weight\": 10956, \"source\": 1, \"target\": 8}, {\"weight\": 10846, \"source\": 1, \"target\": 2}, {\"weight\": 9826, \"source\": 1, \"target\": 4}, {\"weight\": 11488, \"source\": 2, \"target\": 7}, {\"weight\": 1131, \"source\": 2, \"target\": 3}, {\"weight\": 11960, \"source\": 2, \"target\": 6}, {\"weight\": 9420, \"source\": 2, \"target\": 5}, {\"weight\": 1228, \"source\": 2, \"target\": 8}, {\"weight\": 2184, \"source\": 2, \"target\": 4}, {\"weight\": 11212, \"source\": 3, \"target\": 7}, {\"weight\": 11772, \"source\": 3, \"target\": 6}, {\"weight\": 9148, \"source\": 3, \"target\": 5}, {\"weight\": 1365, \"source\": 3, \"target\": 8}, {\"weight\": 1918, \"source\": 3, \"target\": 4}, {\"weight\": 11563, \"source\": 4, \"target\": 7}, {\"weight\": 10483, \"source\": 4, \"target\": 6}, {\"weight\": 7943, \"source\": 4, \"target\": 5}, {\"weight\": 2770, \"source\": 4, \"target\": 8}, {\"weight\": 13282, \"source\": 5, \"target\": 7}, {\"weight\": 5075, \"source\": 5, \"target\": 6}, {\"weight\": 10026, \"source\": 5, \"target\": 8}, {\"weight\": 14100, \"source\": 6, \"target\": 7}, {\"weight\": 12566, \"source\": 6, \"target\": 8}, {\"weight\": 11677, \"source\": 7, \"target\": 8}]}",
"id": 1814,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FOE, JQE, PEG, BLQ, EOI, SAF, NUL, BXU, NBE\n- Travel distances (in kilometers) between each pair of airports:\nFOE to BXU: 14312\nFOE to BLQ: 8232\nFOE to NUL: 6205\nFOE to JQE: 5057\nFOE to SAF: 2650\nFOE to NBE: 8956\nFOE to PEG: 8442\nFOE to EOI: 7102\nJQE to BXU: 17376\nJQE to BLQ: 10483\nJQE to NUL: 9206\nJQE to SAF: 4495\nJQE to NBE: 10956\nJQE to PEG: 10846\nJQE to EOI: 9826\nPEG to BXU: 11488\nPEG to BLQ: 1131\nPEG to NUL: 11960\nPEG to SAF: 9420\nPEG to NBE: 1228\nPEG to EOI: 2184\nBLQ to BXU: 11212\nBLQ to NUL: 11772\nBLQ to SAF: 9148\nBLQ to NBE: 1365\nBLQ to EOI: 1918\nEOI to BXU: 11563\nEOI to NUL: 10483\nEOI to SAF: 7943\nEOI to NBE: 2770\nSAF to BXU: 13282\nSAF to NUL: 5075\nSAF to NBE: 10026\nNUL to BXU: 14100\nNUL to NBE: 12566\nBXU to NBE: 11677\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, AIU, GTF, SLI, FSZ, SNW, KYK, PTU, CGM\n- Travel distances (in kilometers) between each pair of airports:\nBDH to KYK: 14928\nBDH to PTU: 15238\nBDH to CGM: 7764\nBDH to SNW: 4802\nBDH to GTF: 12899\nBDH to FSZ: 7974\nBDH to AIU: 17401\nBDH to SLI: 5559\nAIU to KYK: 10777\nAIU to PTU: 11087\nAIU to CGM: 11141\nAIU to SNW: 13591\nAIU to GTF: 9441\nAIU to FSZ: 12469\nAIU to SLI: 17849\nGTF to KYK: 3671\nGTF to PTU: 3981\nGTF to CGM: 11896\nGTF to SNW: 13002\nGTF to FSZ: 10136\nGTF to SLI: 15350\nSLI to KYK: 18494\nSLI to PTU: 18804\nSLI to CGM: 11968\nSLI to SNW: 9332\nSLI to FSZ: 12998\nFSZ to KYK: 11963\nFSZ to PTU: 12273\nFSZ to CGM: 3756\nFSZ to SNW: 4875\nSNW to KYK: 15031\nSNW to PTU: 15341\nSNW to CGM: 3759\nKYK to PTU: 1360\nKYK to CGM: 13925\nPTU to CGM: 14235\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61601,
"style": "rule"
}
|
{
"exact_answer": 61601,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BDH\", \"id\": 0}, {\"name\": \"AIU\", \"id\": 1}, {\"name\": \"GTF\", \"id\": 2}, {\"name\": \"SLI\", \"id\": 3}, {\"name\": \"FSZ\", \"id\": 4}, {\"name\": \"SNW\", \"id\": 5}, {\"name\": \"KYK\", \"id\": 6}, {\"name\": \"PTU\", \"id\": 7}, {\"name\": \"CGM\", \"id\": 8}], \"links\": [{\"weight\": 14928, \"source\": 0, \"target\": 6}, {\"weight\": 15238, \"source\": 0, \"target\": 7}, {\"weight\": 7764, \"source\": 0, \"target\": 8}, {\"weight\": 4802, \"source\": 0, \"target\": 5}, {\"weight\": 12899, \"source\": 0, \"target\": 2}, {\"weight\": 7974, \"source\": 0, \"target\": 4}, {\"weight\": 17401, \"source\": 0, \"target\": 1}, {\"weight\": 5559, \"source\": 0, \"target\": 3}, {\"weight\": 10777, \"source\": 1, \"target\": 6}, {\"weight\": 11087, \"source\": 1, \"target\": 7}, {\"weight\": 11141, \"source\": 1, \"target\": 8}, {\"weight\": 13591, \"source\": 1, \"target\": 5}, {\"weight\": 9441, \"source\": 1, \"target\": 2}, {\"weight\": 12469, \"source\": 1, \"target\": 4}, {\"weight\": 17849, \"source\": 1, \"target\": 3}, {\"weight\": 3671, \"source\": 2, \"target\": 6}, {\"weight\": 3981, \"source\": 2, \"target\": 7}, {\"weight\": 11896, \"source\": 2, \"target\": 8}, {\"weight\": 13002, \"source\": 2, \"target\": 5}, {\"weight\": 10136, \"source\": 2, \"target\": 4}, {\"weight\": 15350, \"source\": 2, \"target\": 3}, {\"weight\": 18494, \"source\": 3, \"target\": 6}, {\"weight\": 18804, \"source\": 3, \"target\": 7}, {\"weight\": 11968, \"source\": 3, \"target\": 8}, {\"weight\": 9332, \"source\": 3, \"target\": 5}, {\"weight\": 12998, \"source\": 3, \"target\": 4}, {\"weight\": 11963, \"source\": 4, \"target\": 6}, {\"weight\": 12273, \"source\": 4, \"target\": 7}, {\"weight\": 3756, \"source\": 4, \"target\": 8}, {\"weight\": 4875, \"source\": 4, \"target\": 5}, {\"weight\": 15031, \"source\": 5, \"target\": 6}, {\"weight\": 15341, \"source\": 5, \"target\": 7}, {\"weight\": 3759, \"source\": 5, \"target\": 8}, {\"weight\": 1360, \"source\": 6, \"target\": 7}, {\"weight\": 13925, \"source\": 6, \"target\": 8}, {\"weight\": 14235, \"source\": 7, \"target\": 8}]}",
"id": 1815,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BDH, AIU, GTF, SLI, FSZ, SNW, KYK, PTU, CGM\n- Travel distances (in kilometers) between each pair of airports:\nBDH to KYK: 14928\nBDH to PTU: 15238\nBDH to CGM: 7764\nBDH to SNW: 4802\nBDH to GTF: 12899\nBDH to FSZ: 7974\nBDH to AIU: 17401\nBDH to SLI: 5559\nAIU to KYK: 10777\nAIU to PTU: 11087\nAIU to CGM: 11141\nAIU to SNW: 13591\nAIU to GTF: 9441\nAIU to FSZ: 12469\nAIU to SLI: 17849\nGTF to KYK: 3671\nGTF to PTU: 3981\nGTF to CGM: 11896\nGTF to SNW: 13002\nGTF to FSZ: 10136\nGTF to SLI: 15350\nSLI to KYK: 18494\nSLI to PTU: 18804\nSLI to CGM: 11968\nSLI to SNW: 9332\nSLI to FSZ: 12998\nFSZ to KYK: 11963\nFSZ to PTU: 12273\nFSZ to CGM: 3756\nFSZ to SNW: 4875\nSNW to KYK: 15031\nSNW to PTU: 15341\nSNW to CGM: 3759\nKYK to PTU: 1360\nKYK to CGM: 13925\nPTU to CGM: 14235\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TNO, MQN, NGQ, CXI, YOP, SUV, EKO, PTJ, SKK\n- Travel distances (in kilometers) between each pair of airports:\nTNO to SKK: 8352\nTNO to YOP: 6088\nTNO to EKO: 4667\nTNO to CXI: 10475\nTNO to SUV: 13284\nTNO to NGQ: 16674\nTNO to PTJ: 18099\nTNO to MQN: 9703\nMQN to SKK: 10803\nMQN to YOP: 7582\nMQN to EKO: 8625\nMQN to CXI: 14213\nMQN to SUV: 16569\nMQN to NGQ: 7703\nMQN to PTJ: 17762\nNGQ to SKK: 15407\nNGQ to YOP: 13698\nNGQ to EKO: 13810\nNGQ to CXI: 13996\nNGQ to SUV: 11874\nNGQ to PTJ: 12066\nCXI to SKK: 7309\nCXI to YOP: 7991\nCXI to EKO: 7281\nCXI to SUV: 3649\nCXI to PTJ: 8464\nYOP to SKK: 4588\nYOP to EKO: 2403\nYOP to SUV: 11070\nYOP to PTJ: 15757\nSUV to SKK: 10388\nSUV to EKO: 10282\nSUV to PTJ: 5009\nEKO to SKK: 4418\nEKO to PTJ: 14998\nPTJ to SKK: 15098\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57097,
"style": "rule"
}
|
{
"exact_answer": 57097,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TNO\", \"id\": 0}, {\"name\": \"MQN\", \"id\": 1}, {\"name\": \"NGQ\", \"id\": 2}, {\"name\": \"CXI\", \"id\": 3}, {\"name\": \"YOP\", \"id\": 4}, {\"name\": \"SUV\", \"id\": 5}, {\"name\": \"EKO\", \"id\": 6}, {\"name\": \"PTJ\", \"id\": 7}, {\"name\": \"SKK\", \"id\": 8}], \"links\": [{\"weight\": 8352, \"source\": 0, \"target\": 8}, {\"weight\": 6088, \"source\": 0, \"target\": 4}, {\"weight\": 4667, \"source\": 0, \"target\": 6}, {\"weight\": 10475, \"source\": 0, \"target\": 3}, {\"weight\": 13284, \"source\": 0, \"target\": 5}, {\"weight\": 16674, \"source\": 0, \"target\": 2}, {\"weight\": 18099, \"source\": 0, \"target\": 7}, {\"weight\": 9703, \"source\": 0, \"target\": 1}, {\"weight\": 10803, \"source\": 1, \"target\": 8}, {\"weight\": 7582, \"source\": 1, \"target\": 4}, {\"weight\": 8625, \"source\": 1, \"target\": 6}, {\"weight\": 14213, \"source\": 1, \"target\": 3}, {\"weight\": 16569, \"source\": 1, \"target\": 5}, {\"weight\": 7703, \"source\": 1, \"target\": 2}, {\"weight\": 17762, \"source\": 1, \"target\": 7}, {\"weight\": 15407, \"source\": 2, \"target\": 8}, {\"weight\": 13698, \"source\": 2, \"target\": 4}, {\"weight\": 13810, \"source\": 2, \"target\": 6}, {\"weight\": 13996, \"source\": 2, \"target\": 3}, {\"weight\": 11874, \"source\": 2, \"target\": 5}, {\"weight\": 12066, \"source\": 2, \"target\": 7}, {\"weight\": 7309, \"source\": 3, \"target\": 8}, {\"weight\": 7991, \"source\": 3, \"target\": 4}, {\"weight\": 7281, \"source\": 3, \"target\": 6}, {\"weight\": 3649, \"source\": 3, \"target\": 5}, {\"weight\": 8464, \"source\": 3, \"target\": 7}, {\"weight\": 4588, \"source\": 4, \"target\": 8}, {\"weight\": 2403, \"source\": 4, \"target\": 6}, {\"weight\": 11070, \"source\": 4, \"target\": 5}, {\"weight\": 15757, \"source\": 4, \"target\": 7}, {\"weight\": 10388, \"source\": 5, \"target\": 8}, {\"weight\": 10282, \"source\": 5, \"target\": 6}, {\"weight\": 5009, \"source\": 5, \"target\": 7}, {\"weight\": 4418, \"source\": 6, \"target\": 8}, {\"weight\": 14998, \"source\": 6, \"target\": 7}, {\"weight\": 15098, \"source\": 7, \"target\": 8}]}",
"id": 1816,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TNO, MQN, NGQ, CXI, YOP, SUV, EKO, PTJ, SKK\n- Travel distances (in kilometers) between each pair of airports:\nTNO to SKK: 8352\nTNO to YOP: 6088\nTNO to EKO: 4667\nTNO to CXI: 10475\nTNO to SUV: 13284\nTNO to NGQ: 16674\nTNO to PTJ: 18099\nTNO to MQN: 9703\nMQN to SKK: 10803\nMQN to YOP: 7582\nMQN to EKO: 8625\nMQN to CXI: 14213\nMQN to SUV: 16569\nMQN to NGQ: 7703\nMQN to PTJ: 17762\nNGQ to SKK: 15407\nNGQ to YOP: 13698\nNGQ to EKO: 13810\nNGQ to CXI: 13996\nNGQ to SUV: 11874\nNGQ to PTJ: 12066\nCXI to SKK: 7309\nCXI to YOP: 7991\nCXI to EKO: 7281\nCXI to SUV: 3649\nCXI to PTJ: 8464\nYOP to SKK: 4588\nYOP to EKO: 2403\nYOP to SUV: 11070\nYOP to PTJ: 15757\nSUV to SKK: 10388\nSUV to EKO: 10282\nSUV to PTJ: 5009\nEKO to SKK: 4418\nEKO to PTJ: 14998\nPTJ to SKK: 15098\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAB, ZSE, CZM, KFS, DLZ, REG, OAJ, DCY, TUL\n- Travel distances (in kilometers) between each pair of airports:\nYAB to DCY: 15806\nYAB to CZM: 6261\nYAB to OAJ: 4495\nYAB to TUL: 5291\nYAB to ZSE: 17454\nYAB to REG: 9365\nYAB to DLZ: 15065\nYAB to KFS: 10337\nZSE to DCY: 8602\nZSE to CZM: 17338\nZSE to OAJ: 16258\nZSE to TUL: 17284\nZSE to REG: 9108\nZSE to DLZ: 11000\nZSE to KFS: 8597\nCZM to DCY: 14860\nCZM to OAJ: 2041\nCZM to TUL: 2040\nCZM to REG: 9731\nCZM to DLZ: 14576\nCZM to KFS: 10911\nKFS to DCY: 7658\nKFS to OAJ: 9249\nKFS to TUL: 10165\nKFS to REG: 2302\nKFS to DLZ: 7260\nDLZ to DCY: 3628\nDLZ to OAJ: 13261\nDLZ to TUL: 12823\nDLZ to REG: 8046\nREG to DCY: 9068\nREG to OAJ: 8162\nREG to TUL: 9188\nOAJ to DCY: 13545\nOAJ to TUL: 1722\nDCY to TUL: 13107\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53893,
"style": "rule"
}
|
{
"exact_answer": 53893,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YAB\", \"id\": 0}, {\"name\": \"ZSE\", \"id\": 1}, {\"name\": \"CZM\", \"id\": 2}, {\"name\": \"KFS\", \"id\": 3}, {\"name\": \"DLZ\", \"id\": 4}, {\"name\": \"REG\", \"id\": 5}, {\"name\": \"OAJ\", \"id\": 6}, {\"name\": \"DCY\", \"id\": 7}, {\"name\": \"TUL\", \"id\": 8}], \"links\": [{\"weight\": 15806, \"source\": 0, \"target\": 7}, {\"weight\": 6261, \"source\": 0, \"target\": 2}, {\"weight\": 4495, \"source\": 0, \"target\": 6}, {\"weight\": 5291, \"source\": 0, \"target\": 8}, {\"weight\": 17454, \"source\": 0, \"target\": 1}, {\"weight\": 9365, \"source\": 0, \"target\": 5}, {\"weight\": 15065, \"source\": 0, \"target\": 4}, {\"weight\": 10337, \"source\": 0, \"target\": 3}, {\"weight\": 8602, \"source\": 1, \"target\": 7}, {\"weight\": 17338, \"source\": 1, \"target\": 2}, {\"weight\": 16258, \"source\": 1, \"target\": 6}, {\"weight\": 17284, \"source\": 1, \"target\": 8}, {\"weight\": 9108, \"source\": 1, \"target\": 5}, {\"weight\": 11000, \"source\": 1, \"target\": 4}, {\"weight\": 8597, \"source\": 1, \"target\": 3}, {\"weight\": 14860, \"source\": 2, \"target\": 7}, {\"weight\": 2041, \"source\": 2, \"target\": 6}, {\"weight\": 2040, \"source\": 2, \"target\": 8}, {\"weight\": 9731, \"source\": 2, \"target\": 5}, {\"weight\": 14576, \"source\": 2, \"target\": 4}, {\"weight\": 10911, \"source\": 2, \"target\": 3}, {\"weight\": 7658, \"source\": 3, \"target\": 7}, {\"weight\": 9249, \"source\": 3, \"target\": 6}, {\"weight\": 10165, \"source\": 3, \"target\": 8}, {\"weight\": 2302, \"source\": 3, \"target\": 5}, {\"weight\": 7260, \"source\": 3, \"target\": 4}, {\"weight\": 3628, \"source\": 4, \"target\": 7}, {\"weight\": 13261, \"source\": 4, \"target\": 6}, {\"weight\": 12823, \"source\": 4, \"target\": 8}, {\"weight\": 8046, \"source\": 4, \"target\": 5}, {\"weight\": 9068, \"source\": 5, \"target\": 7}, {\"weight\": 8162, \"source\": 5, \"target\": 6}, {\"weight\": 9188, \"source\": 5, \"target\": 8}, {\"weight\": 13545, \"source\": 6, \"target\": 7}, {\"weight\": 1722, \"source\": 6, \"target\": 8}, {\"weight\": 13107, \"source\": 7, \"target\": 8}]}",
"id": 1817,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YAB, ZSE, CZM, KFS, DLZ, REG, OAJ, DCY, TUL\n- Travel distances (in kilometers) between each pair of airports:\nYAB to DCY: 15806\nYAB to CZM: 6261\nYAB to OAJ: 4495\nYAB to TUL: 5291\nYAB to ZSE: 17454\nYAB to REG: 9365\nYAB to DLZ: 15065\nYAB to KFS: 10337\nZSE to DCY: 8602\nZSE to CZM: 17338\nZSE to OAJ: 16258\nZSE to TUL: 17284\nZSE to REG: 9108\nZSE to DLZ: 11000\nZSE to KFS: 8597\nCZM to DCY: 14860\nCZM to OAJ: 2041\nCZM to TUL: 2040\nCZM to REG: 9731\nCZM to DLZ: 14576\nCZM to KFS: 10911\nKFS to DCY: 7658\nKFS to OAJ: 9249\nKFS to TUL: 10165\nKFS to REG: 2302\nKFS to DLZ: 7260\nDLZ to DCY: 3628\nDLZ to OAJ: 13261\nDLZ to TUL: 12823\nDLZ to REG: 8046\nREG to DCY: 9068\nREG to OAJ: 8162\nREG to TUL: 9188\nOAJ to DCY: 13545\nOAJ to TUL: 1722\nDCY to TUL: 13107\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, MLI, OGM, LCR, LRE, HGR, AUA, ADK, SHB\n- Travel distances (in kilometers) between each pair of airports:\nPTH to AUA: 8954\nPTH to OGM: 9161\nPTH to LCR: 10310\nPTH to MLI: 5168\nPTH to ADK: 2599\nPTH to LRE: 13702\nPTH to HGR: 6274\nPTH to SHB: 11466\nMLI to AUA: 3787\nMLI to OGM: 4373\nMLI to LCR: 5204\nMLI to ADK: 6395\nMLI to LRE: 15113\nMLI to HGR: 1256\nMLI to SHB: 11058\nOGM to AUA: 2354\nOGM to LCR: 2776\nOGM to ADK: 10388\nOGM to LRE: 17629\nOGM to HGR: 4100\nOGM to SHB: 14906\nLCR to AUA: 1774\nLCR to ADK: 11537\nLCR to LRE: 17983\nLCR to HGR: 4706\nLCR to SHB: 16101\nLRE to AUA: 17984\nLRE to ADK: 14929\nLRE to HGR: 16284\nLRE to SHB: 7896\nHGR to AUA: 3118\nHGR to ADK: 7501\nHGR to SHB: 11998\nAUA to ADK: 10181\nAUA to SHB: 14835\nADK to SHB: 12693\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54422,
"style": "rule"
}
|
{
"exact_answer": 54422,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PTH\", \"id\": 0}, {\"name\": \"MLI\", \"id\": 1}, {\"name\": \"OGM\", \"id\": 2}, {\"name\": \"LCR\", \"id\": 3}, {\"name\": \"LRE\", \"id\": 4}, {\"name\": \"HGR\", \"id\": 5}, {\"name\": \"AUA\", \"id\": 6}, {\"name\": \"ADK\", \"id\": 7}, {\"name\": \"SHB\", \"id\": 8}], \"links\": [{\"weight\": 8954, \"source\": 0, \"target\": 6}, {\"weight\": 9161, \"source\": 0, \"target\": 2}, {\"weight\": 10310, \"source\": 0, \"target\": 3}, {\"weight\": 5168, \"source\": 0, \"target\": 1}, {\"weight\": 2599, \"source\": 0, \"target\": 7}, {\"weight\": 13702, \"source\": 0, \"target\": 4}, {\"weight\": 6274, \"source\": 0, \"target\": 5}, {\"weight\": 11466, \"source\": 0, \"target\": 8}, {\"weight\": 3787, \"source\": 1, \"target\": 6}, {\"weight\": 4373, \"source\": 1, \"target\": 2}, {\"weight\": 5204, \"source\": 1, \"target\": 3}, {\"weight\": 6395, \"source\": 1, \"target\": 7}, {\"weight\": 15113, \"source\": 1, \"target\": 4}, {\"weight\": 1256, \"source\": 1, \"target\": 5}, {\"weight\": 11058, \"source\": 1, \"target\": 8}, {\"weight\": 2354, \"source\": 2, \"target\": 6}, {\"weight\": 2776, \"source\": 2, \"target\": 3}, {\"weight\": 10388, \"source\": 2, \"target\": 7}, {\"weight\": 17629, \"source\": 2, \"target\": 4}, {\"weight\": 4100, \"source\": 2, \"target\": 5}, {\"weight\": 14906, \"source\": 2, \"target\": 8}, {\"weight\": 1774, \"source\": 3, \"target\": 6}, {\"weight\": 11537, \"source\": 3, \"target\": 7}, {\"weight\": 17983, \"source\": 3, \"target\": 4}, {\"weight\": 4706, \"source\": 3, \"target\": 5}, {\"weight\": 16101, \"source\": 3, \"target\": 8}, {\"weight\": 17984, \"source\": 4, \"target\": 6}, {\"weight\": 14929, \"source\": 4, \"target\": 7}, {\"weight\": 16284, \"source\": 4, \"target\": 5}, {\"weight\": 7896, \"source\": 4, \"target\": 8}, {\"weight\": 3118, \"source\": 5, \"target\": 6}, {\"weight\": 7501, \"source\": 5, \"target\": 7}, {\"weight\": 11998, \"source\": 5, \"target\": 8}, {\"weight\": 10181, \"source\": 6, \"target\": 7}, {\"weight\": 14835, \"source\": 6, \"target\": 8}, {\"weight\": 12693, \"source\": 7, \"target\": 8}]}",
"id": 1818,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PTH, MLI, OGM, LCR, LRE, HGR, AUA, ADK, SHB\n- Travel distances (in kilometers) between each pair of airports:\nPTH to AUA: 8954\nPTH to OGM: 9161\nPTH to LCR: 10310\nPTH to MLI: 5168\nPTH to ADK: 2599\nPTH to LRE: 13702\nPTH to HGR: 6274\nPTH to SHB: 11466\nMLI to AUA: 3787\nMLI to OGM: 4373\nMLI to LCR: 5204\nMLI to ADK: 6395\nMLI to LRE: 15113\nMLI to HGR: 1256\nMLI to SHB: 11058\nOGM to AUA: 2354\nOGM to LCR: 2776\nOGM to ADK: 10388\nOGM to LRE: 17629\nOGM to HGR: 4100\nOGM to SHB: 14906\nLCR to AUA: 1774\nLCR to ADK: 11537\nLCR to LRE: 17983\nLCR to HGR: 4706\nLCR to SHB: 16101\nLRE to AUA: 17984\nLRE to ADK: 14929\nLRE to HGR: 16284\nLRE to SHB: 7896\nHGR to AUA: 3118\nHGR to ADK: 7501\nHGR to SHB: 11998\nAUA to ADK: 10181\nAUA to SHB: 14835\nADK to SHB: 12693\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LBC, CKZ, JIU, JST, ATK, LYI, LEJ, HLZ, BMU\n- Travel distances (in kilometers) between each pair of airports:\nLBC to LYI: 8163\nLBC to LEJ: 1579\nLBC to ATK: 12197\nLBC to JIU: 8733\nLBC to BMU: 12283\nLBC to HLZ: 18044\nLBC to CKZ: 3094\nLBC to JST: 7634\nCKZ to LYI: 8068\nCKZ to LEJ: 2618\nCKZ to ATK: 14233\nCKZ to JIU: 8656\nCKZ to BMU: 10895\nCKZ to HLZ: 17379\nCKZ to JST: 9492\nJIU to LYI: 1044\nJIU to LEJ: 8683\nJIU to ATK: 13192\nJIU to BMU: 4719\nJIU to HLZ: 10094\nJIU to JST: 12456\nJST to LYI: 11886\nJST to LEJ: 6920\nJST to ATK: 6948\nJST to BMU: 17022\nJST to HLZ: 14457\nATK to LYI: 12423\nATK to LEJ: 11700\nATK to BMU: 17014\nATK to HLZ: 12924\nLYI to LEJ: 8113\nLYI to BMU: 5329\nLYI to HLZ: 10011\nLEJ to BMU: 12150\nLEJ to HLZ: 18105\nHLZ to BMU: 7274\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52570,
"style": "rule"
}
|
{
"exact_answer": 52570,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LBC\", \"id\": 0}, {\"name\": \"CKZ\", \"id\": 1}, {\"name\": \"JIU\", \"id\": 2}, {\"name\": \"JST\", \"id\": 3}, {\"name\": \"ATK\", \"id\": 4}, {\"name\": \"LYI\", \"id\": 5}, {\"name\": \"LEJ\", \"id\": 6}, {\"name\": \"HLZ\", \"id\": 7}, {\"name\": \"BMU\", \"id\": 8}], \"links\": [{\"weight\": 8163, \"source\": 0, \"target\": 5}, {\"weight\": 1579, \"source\": 0, \"target\": 6}, {\"weight\": 12197, \"source\": 0, \"target\": 4}, {\"weight\": 8733, \"source\": 0, \"target\": 2}, {\"weight\": 12283, \"source\": 0, \"target\": 8}, {\"weight\": 18044, \"source\": 0, \"target\": 7}, {\"weight\": 3094, \"source\": 0, \"target\": 1}, {\"weight\": 7634, \"source\": 0, \"target\": 3}, {\"weight\": 8068, \"source\": 1, \"target\": 5}, {\"weight\": 2618, \"source\": 1, \"target\": 6}, {\"weight\": 14233, \"source\": 1, \"target\": 4}, {\"weight\": 8656, \"source\": 1, \"target\": 2}, {\"weight\": 10895, \"source\": 1, \"target\": 8}, {\"weight\": 17379, \"source\": 1, \"target\": 7}, {\"weight\": 9492, \"source\": 1, \"target\": 3}, {\"weight\": 1044, \"source\": 2, \"target\": 5}, {\"weight\": 8683, \"source\": 2, \"target\": 6}, {\"weight\": 13192, \"source\": 2, \"target\": 4}, {\"weight\": 4719, \"source\": 2, \"target\": 8}, {\"weight\": 10094, \"source\": 2, \"target\": 7}, {\"weight\": 12456, \"source\": 2, \"target\": 3}, {\"weight\": 11886, \"source\": 3, \"target\": 5}, {\"weight\": 6920, \"source\": 3, \"target\": 6}, {\"weight\": 6948, \"source\": 3, \"target\": 4}, {\"weight\": 17022, \"source\": 3, \"target\": 8}, {\"weight\": 14457, \"source\": 3, \"target\": 7}, {\"weight\": 12423, \"source\": 4, \"target\": 5}, {\"weight\": 11700, \"source\": 4, \"target\": 6}, {\"weight\": 17014, \"source\": 4, \"target\": 8}, {\"weight\": 12924, \"source\": 4, \"target\": 7}, {\"weight\": 8113, \"source\": 5, \"target\": 6}, {\"weight\": 5329, \"source\": 5, \"target\": 8}, {\"weight\": 10011, \"source\": 5, \"target\": 7}, {\"weight\": 12150, \"source\": 6, \"target\": 8}, {\"weight\": 18105, \"source\": 6, \"target\": 7}, {\"weight\": 7274, \"source\": 7, \"target\": 8}]}",
"id": 1819,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LBC, CKZ, JIU, JST, ATK, LYI, LEJ, HLZ, BMU\n- Travel distances (in kilometers) between each pair of airports:\nLBC to LYI: 8163\nLBC to LEJ: 1579\nLBC to ATK: 12197\nLBC to JIU: 8733\nLBC to BMU: 12283\nLBC to HLZ: 18044\nLBC to CKZ: 3094\nLBC to JST: 7634\nCKZ to LYI: 8068\nCKZ to LEJ: 2618\nCKZ to ATK: 14233\nCKZ to JIU: 8656\nCKZ to BMU: 10895\nCKZ to HLZ: 17379\nCKZ to JST: 9492\nJIU to LYI: 1044\nJIU to LEJ: 8683\nJIU to ATK: 13192\nJIU to BMU: 4719\nJIU to HLZ: 10094\nJIU to JST: 12456\nJST to LYI: 11886\nJST to LEJ: 6920\nJST to ATK: 6948\nJST to BMU: 17022\nJST to HLZ: 14457\nATK to LYI: 12423\nATK to LEJ: 11700\nATK to BMU: 17014\nATK to HLZ: 12924\nLYI to LEJ: 8113\nLYI to BMU: 5329\nLYI to HLZ: 10011\nLEJ to BMU: 12150\nLEJ to HLZ: 18105\nHLZ to BMU: 7274\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPP, PLX, CBH, GCH, BKQ, YGR, LPM, ELQ, MNL\n- Travel distances (in kilometers) between each pair of airports:\nLPP to MNL: 12106\nLPP to YGR: 8460\nLPP to CBH: 4009\nLPP to PLX: 7044\nLPP to BKQ: 17661\nLPP to ELQ: 5846\nLPP to GCH: 6356\nLPP to LPM: 18853\nPLX to MNL: 6073\nPLX to YGR: 11385\nPLX to CBH: 7316\nPLX to BKQ: 11625\nPLX to ELQ: 4568\nPLX to GCH: 3884\nPLX to LPM: 12828\nCBH to MNL: 12202\nCBH to YGR: 7774\nCBH to BKQ: 17754\nCBH to ELQ: 4818\nCBH to GCH: 5739\nCBH to LPM: 18957\nGCH to MNL: 8090\nGCH to YGR: 10824\nGCH to BKQ: 13417\nGCH to ELQ: 2199\nGCH to LPM: 14856\nBKQ to MNL: 5890\nBKQ to YGR: 17269\nBKQ to ELQ: 13041\nBKQ to LPM: 2877\nYGR to MNL: 14685\nYGR to ELQ: 10314\nYGR to LPM: 14939\nLPM to MNL: 6766\nLPM to ELQ: 14768\nELQ to MNL: 8050\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53149,
"style": "rule"
}
|
{
"exact_answer": 53149,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPP\", \"id\": 0}, {\"name\": \"PLX\", \"id\": 1}, {\"name\": \"CBH\", \"id\": 2}, {\"name\": \"GCH\", \"id\": 3}, {\"name\": \"BKQ\", \"id\": 4}, {\"name\": \"YGR\", \"id\": 5}, {\"name\": \"LPM\", \"id\": 6}, {\"name\": \"ELQ\", \"id\": 7}, {\"name\": \"MNL\", \"id\": 8}], \"links\": [{\"weight\": 12106, \"source\": 0, \"target\": 8}, {\"weight\": 8460, \"source\": 0, \"target\": 5}, {\"weight\": 4009, \"source\": 0, \"target\": 2}, {\"weight\": 7044, \"source\": 0, \"target\": 1}, {\"weight\": 17661, \"source\": 0, \"target\": 4}, {\"weight\": 5846, \"source\": 0, \"target\": 7}, {\"weight\": 6356, \"source\": 0, \"target\": 3}, {\"weight\": 18853, \"source\": 0, \"target\": 6}, {\"weight\": 6073, \"source\": 1, \"target\": 8}, {\"weight\": 11385, \"source\": 1, \"target\": 5}, {\"weight\": 7316, \"source\": 1, \"target\": 2}, {\"weight\": 11625, \"source\": 1, \"target\": 4}, {\"weight\": 4568, \"source\": 1, \"target\": 7}, {\"weight\": 3884, \"source\": 1, \"target\": 3}, {\"weight\": 12828, \"source\": 1, \"target\": 6}, {\"weight\": 12202, \"source\": 2, \"target\": 8}, {\"weight\": 7774, \"source\": 2, \"target\": 5}, {\"weight\": 17754, \"source\": 2, \"target\": 4}, {\"weight\": 4818, \"source\": 2, \"target\": 7}, {\"weight\": 5739, \"source\": 2, \"target\": 3}, {\"weight\": 18957, \"source\": 2, \"target\": 6}, {\"weight\": 8090, \"source\": 3, \"target\": 8}, {\"weight\": 10824, \"source\": 3, \"target\": 5}, {\"weight\": 13417, \"source\": 3, \"target\": 4}, {\"weight\": 2199, \"source\": 3, \"target\": 7}, {\"weight\": 14856, \"source\": 3, \"target\": 6}, {\"weight\": 5890, \"source\": 4, \"target\": 8}, {\"weight\": 17269, \"source\": 4, \"target\": 5}, {\"weight\": 13041, \"source\": 4, \"target\": 7}, {\"weight\": 2877, \"source\": 4, \"target\": 6}, {\"weight\": 14685, \"source\": 5, \"target\": 8}, {\"weight\": 10314, \"source\": 5, \"target\": 7}, {\"weight\": 14939, \"source\": 5, \"target\": 6}, {\"weight\": 6766, \"source\": 6, \"target\": 8}, {\"weight\": 14768, \"source\": 6, \"target\": 7}, {\"weight\": 8050, \"source\": 7, \"target\": 8}]}",
"id": 1820,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPP, PLX, CBH, GCH, BKQ, YGR, LPM, ELQ, MNL\n- Travel distances (in kilometers) between each pair of airports:\nLPP to MNL: 12106\nLPP to YGR: 8460\nLPP to CBH: 4009\nLPP to PLX: 7044\nLPP to BKQ: 17661\nLPP to ELQ: 5846\nLPP to GCH: 6356\nLPP to LPM: 18853\nPLX to MNL: 6073\nPLX to YGR: 11385\nPLX to CBH: 7316\nPLX to BKQ: 11625\nPLX to ELQ: 4568\nPLX to GCH: 3884\nPLX to LPM: 12828\nCBH to MNL: 12202\nCBH to YGR: 7774\nCBH to BKQ: 17754\nCBH to ELQ: 4818\nCBH to GCH: 5739\nCBH to LPM: 18957\nGCH to MNL: 8090\nGCH to YGR: 10824\nGCH to BKQ: 13417\nGCH to ELQ: 2199\nGCH to LPM: 14856\nBKQ to MNL: 5890\nBKQ to YGR: 17269\nBKQ to ELQ: 13041\nBKQ to LPM: 2877\nYGR to MNL: 14685\nYGR to ELQ: 10314\nYGR to LPM: 14939\nLPM to MNL: 6766\nLPM to ELQ: 14768\nELQ to MNL: 8050\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UTH, KOV, FLG, SYD, BLV, ESL, FTU, KUU, MBA\n- Travel distances (in kilometers) between each pair of airports:\nUTH to SYD: 7980\nUTH to MBA: 8112\nUTH to ESL: 8541\nUTH to FLG: 13991\nUTH to KUU: 3501\nUTH to KOV: 5702\nUTH to BLV: 16832\nUTH to FTU: 8024\nKOV to SYD: 12687\nKOV to MBA: 7725\nKOV to ESL: 3146\nKOV to FLG: 12314\nKOV to KUU: 3246\nKOV to BLV: 12414\nKOV to FTU: 10230\nFLG to SYD: 12845\nFLG to MBA: 15917\nFLG to ESL: 11366\nFLG to KUU: 14827\nFLG to BLV: 4579\nFLG to FTU: 18444\nSYD to MBA: 11990\nSYD to ESL: 15600\nSYD to KUU: 10801\nSYD to BLV: 16871\nSYD to FTU: 10943\nBLV to MBA: 15487\nBLV to ESL: 11466\nBLV to KUU: 14953\nBLV to FTU: 17859\nESL to MBA: 7752\nESL to KUU: 5774\nESL to FTU: 10286\nFTU to MBA: 2547\nFTU to KUU: 7980\nKUU to MBA: 6206\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60039,
"style": "rule"
}
|
{
"exact_answer": 60039,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UTH\", \"id\": 0}, {\"name\": \"KOV\", \"id\": 1}, {\"name\": \"FLG\", \"id\": 2}, {\"name\": \"SYD\", \"id\": 3}, {\"name\": \"BLV\", \"id\": 4}, {\"name\": \"ESL\", \"id\": 5}, {\"name\": \"FTU\", \"id\": 6}, {\"name\": \"KUU\", \"id\": 7}, {\"name\": \"MBA\", \"id\": 8}], \"links\": [{\"weight\": 7980, \"source\": 0, \"target\": 3}, {\"weight\": 8112, \"source\": 0, \"target\": 8}, {\"weight\": 8541, \"source\": 0, \"target\": 5}, {\"weight\": 13991, \"source\": 0, \"target\": 2}, {\"weight\": 3501, \"source\": 0, \"target\": 7}, {\"weight\": 5702, \"source\": 0, \"target\": 1}, {\"weight\": 16832, \"source\": 0, \"target\": 4}, {\"weight\": 8024, \"source\": 0, \"target\": 6}, {\"weight\": 12687, \"source\": 1, \"target\": 3}, {\"weight\": 7725, \"source\": 1, \"target\": 8}, {\"weight\": 3146, \"source\": 1, \"target\": 5}, {\"weight\": 12314, \"source\": 1, \"target\": 2}, {\"weight\": 3246, \"source\": 1, \"target\": 7}, {\"weight\": 12414, \"source\": 1, \"target\": 4}, {\"weight\": 10230, \"source\": 1, \"target\": 6}, {\"weight\": 12845, \"source\": 2, \"target\": 3}, {\"weight\": 15917, \"source\": 2, \"target\": 8}, {\"weight\": 11366, \"source\": 2, \"target\": 5}, {\"weight\": 14827, \"source\": 2, \"target\": 7}, {\"weight\": 4579, \"source\": 2, \"target\": 4}, {\"weight\": 18444, \"source\": 2, \"target\": 6}, {\"weight\": 11990, \"source\": 3, \"target\": 8}, {\"weight\": 15600, \"source\": 3, \"target\": 5}, {\"weight\": 10801, \"source\": 3, \"target\": 7}, {\"weight\": 16871, \"source\": 3, \"target\": 4}, {\"weight\": 10943, \"source\": 3, \"target\": 6}, {\"weight\": 15487, \"source\": 4, \"target\": 8}, {\"weight\": 11466, \"source\": 4, \"target\": 5}, {\"weight\": 14953, \"source\": 4, \"target\": 7}, {\"weight\": 17859, \"source\": 4, \"target\": 6}, {\"weight\": 7752, \"source\": 5, \"target\": 8}, {\"weight\": 5774, \"source\": 5, \"target\": 7}, {\"weight\": 10286, \"source\": 5, \"target\": 6}, {\"weight\": 2547, \"source\": 6, \"target\": 8}, {\"weight\": 7980, \"source\": 6, \"target\": 7}, {\"weight\": 6206, \"source\": 7, \"target\": 8}]}",
"id": 1821,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UTH, KOV, FLG, SYD, BLV, ESL, FTU, KUU, MBA\n- Travel distances (in kilometers) between each pair of airports:\nUTH to SYD: 7980\nUTH to MBA: 8112\nUTH to ESL: 8541\nUTH to FLG: 13991\nUTH to KUU: 3501\nUTH to KOV: 5702\nUTH to BLV: 16832\nUTH to FTU: 8024\nKOV to SYD: 12687\nKOV to MBA: 7725\nKOV to ESL: 3146\nKOV to FLG: 12314\nKOV to KUU: 3246\nKOV to BLV: 12414\nKOV to FTU: 10230\nFLG to SYD: 12845\nFLG to MBA: 15917\nFLG to ESL: 11366\nFLG to KUU: 14827\nFLG to BLV: 4579\nFLG to FTU: 18444\nSYD to MBA: 11990\nSYD to ESL: 15600\nSYD to KUU: 10801\nSYD to BLV: 16871\nSYD to FTU: 10943\nBLV to MBA: 15487\nBLV to ESL: 11466\nBLV to KUU: 14953\nBLV to FTU: 17859\nESL to MBA: 7752\nESL to KUU: 5774\nESL to FTU: 10286\nFTU to MBA: 2547\nFTU to KUU: 7980\nKUU to MBA: 6206\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FDF, CPE, WUH, BUR, VIS, ACY, PRN, CRD, TOS\n- Travel distances (in kilometers) between each pair of airports:\nFDF to WUH: 15183\nFDF to CPE: 5103\nFDF to PRN: 8463\nFDF to TOS: 9046\nFDF to CRD: 7450\nFDF to BUR: 6122\nFDF to ACY: 3699\nFDF to VIS: 6401\nCPE to WUH: 14307\nCPE to PRN: 11690\nCPE to TOS: 10721\nCPE to CRD: 9134\nCPE to BUR: 3506\nCPE to ACY: 4291\nCPE to VIS: 3675\nWUH to PRN: 8131\nWUH to TOS: 8481\nWUH to CRD: 21103\nWUH to BUR: 10956\nWUH to ACY: 12500\nWUH to VIS: 11250\nBUR to PRN: 10584\nBUR to TOS: 9499\nBUR to CRD: 10844\nBUR to ACY: 3945\nBUR to VIS: 903\nVIS to PRN: 10857\nVIS to TOS: 9793\nVIS to CRD: 11013\nVIS to ACY: 4235\nACY to PRN: 7570\nACY to TOS: 6722\nACY to CRD: 9916\nPRN to TOS: 3109\nPRN to CRD: 13663\nCRD to TOS: 14830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53779,
"style": "rule"
}
|
{
"exact_answer": 53779,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FDF\", \"id\": 0}, {\"name\": \"CPE\", \"id\": 1}, {\"name\": \"WUH\", \"id\": 2}, {\"name\": \"BUR\", \"id\": 3}, {\"name\": \"VIS\", \"id\": 4}, {\"name\": \"ACY\", \"id\": 5}, {\"name\": \"PRN\", \"id\": 6}, {\"name\": \"CRD\", \"id\": 7}, {\"name\": \"TOS\", \"id\": 8}], \"links\": [{\"weight\": 15183, \"source\": 0, \"target\": 2}, {\"weight\": 5103, \"source\": 0, \"target\": 1}, {\"weight\": 8463, \"source\": 0, \"target\": 6}, {\"weight\": 9046, \"source\": 0, \"target\": 8}, {\"weight\": 7450, \"source\": 0, \"target\": 7}, {\"weight\": 6122, \"source\": 0, \"target\": 3}, {\"weight\": 3699, \"source\": 0, \"target\": 5}, {\"weight\": 6401, \"source\": 0, \"target\": 4}, {\"weight\": 14307, \"source\": 1, \"target\": 2}, {\"weight\": 11690, \"source\": 1, \"target\": 6}, {\"weight\": 10721, \"source\": 1, \"target\": 8}, {\"weight\": 9134, \"source\": 1, \"target\": 7}, {\"weight\": 3506, \"source\": 1, \"target\": 3}, {\"weight\": 4291, \"source\": 1, \"target\": 5}, {\"weight\": 3675, \"source\": 1, \"target\": 4}, {\"weight\": 8131, \"source\": 2, \"target\": 6}, {\"weight\": 8481, \"source\": 2, \"target\": 8}, {\"weight\": 21103, \"source\": 2, \"target\": 7}, {\"weight\": 10956, \"source\": 2, \"target\": 3}, {\"weight\": 12500, \"source\": 2, \"target\": 5}, {\"weight\": 11250, \"source\": 2, \"target\": 4}, {\"weight\": 10584, \"source\": 3, \"target\": 6}, {\"weight\": 9499, \"source\": 3, \"target\": 8}, {\"weight\": 10844, \"source\": 3, \"target\": 7}, {\"weight\": 3945, \"source\": 3, \"target\": 5}, {\"weight\": 903, \"source\": 3, \"target\": 4}, {\"weight\": 10857, \"source\": 4, \"target\": 6}, {\"weight\": 9793, \"source\": 4, \"target\": 8}, {\"weight\": 11013, \"source\": 4, \"target\": 7}, {\"weight\": 4235, \"source\": 4, \"target\": 5}, {\"weight\": 7570, \"source\": 5, \"target\": 6}, {\"weight\": 6722, \"source\": 5, \"target\": 8}, {\"weight\": 9916, \"source\": 5, \"target\": 7}, {\"weight\": 3109, \"source\": 6, \"target\": 8}, {\"weight\": 13663, \"source\": 6, \"target\": 7}, {\"weight\": 14830, \"source\": 7, \"target\": 8}]}",
"id": 1822,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FDF, CPE, WUH, BUR, VIS, ACY, PRN, CRD, TOS\n- Travel distances (in kilometers) between each pair of airports:\nFDF to WUH: 15183\nFDF to CPE: 5103\nFDF to PRN: 8463\nFDF to TOS: 9046\nFDF to CRD: 7450\nFDF to BUR: 6122\nFDF to ACY: 3699\nFDF to VIS: 6401\nCPE to WUH: 14307\nCPE to PRN: 11690\nCPE to TOS: 10721\nCPE to CRD: 9134\nCPE to BUR: 3506\nCPE to ACY: 4291\nCPE to VIS: 3675\nWUH to PRN: 8131\nWUH to TOS: 8481\nWUH to CRD: 21103\nWUH to BUR: 10956\nWUH to ACY: 12500\nWUH to VIS: 11250\nBUR to PRN: 10584\nBUR to TOS: 9499\nBUR to CRD: 10844\nBUR to ACY: 3945\nBUR to VIS: 903\nVIS to PRN: 10857\nVIS to TOS: 9793\nVIS to CRD: 11013\nVIS to ACY: 4235\nACY to PRN: 7570\nACY to TOS: 6722\nACY to CRD: 9916\nPRN to TOS: 3109\nPRN to CRD: 13663\nCRD to TOS: 14830\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AUQ, EMK, GIB, VIX, MTY, ORN, LRH, PBJ, MIA\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to MIA: 11806\nAUQ to MTY: 10066\nAUQ to EMK: 11160\nAUQ to LRH: 17395\nAUQ to GIB: 18518\nAUQ to VIX: 12776\nAUQ to ORN: 18029\nAUQ to PBJ: 6734\nEMK to MIA: 7295\nEMK to MTY: 6371\nEMK to LRH: 11429\nEMK to GIB: 12552\nEMK to VIX: 14007\nEMK to ORN: 12475\nEMK to PBJ: 11522\nGIB to MIA: 8855\nGIB to MTY: 10136\nGIB to LRH: 2504\nGIB to VIX: 10599\nGIB to ORN: 3442\nGIB to PBJ: 18981\nVIX to MIA: 6749\nVIX to MTY: 8248\nVIX to LRH: 8430\nVIX to ORN: 7804\nVIX to PBJ: 15372\nMTY to MIA: 2210\nMTY to LRH: 8864\nMTY to ORN: 9297\nMTY to PBJ: 12018\nORN to MIA: 7704\nORN to LRH: 1722\nORN to PBJ: 18482\nLRH to MIA: 7713\nLRH to PBJ: 17782\nPBJ to MIA: 13758\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60498,
"style": "rule"
}
|
{
"exact_answer": 60498,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AUQ\", \"id\": 0}, {\"name\": \"EMK\", \"id\": 1}, {\"name\": \"GIB\", \"id\": 2}, {\"name\": \"VIX\", \"id\": 3}, {\"name\": \"MTY\", \"id\": 4}, {\"name\": \"ORN\", \"id\": 5}, {\"name\": \"LRH\", \"id\": 6}, {\"name\": \"PBJ\", \"id\": 7}, {\"name\": \"MIA\", \"id\": 8}], \"links\": [{\"weight\": 11806, \"source\": 0, \"target\": 8}, {\"weight\": 10066, \"source\": 0, \"target\": 4}, {\"weight\": 11160, \"source\": 0, \"target\": 1}, {\"weight\": 17395, \"source\": 0, \"target\": 6}, {\"weight\": 18518, \"source\": 0, \"target\": 2}, {\"weight\": 12776, \"source\": 0, \"target\": 3}, {\"weight\": 18029, \"source\": 0, \"target\": 5}, {\"weight\": 6734, \"source\": 0, \"target\": 7}, {\"weight\": 7295, \"source\": 1, \"target\": 8}, {\"weight\": 6371, \"source\": 1, \"target\": 4}, {\"weight\": 11429, \"source\": 1, \"target\": 6}, {\"weight\": 12552, \"source\": 1, \"target\": 2}, {\"weight\": 14007, \"source\": 1, \"target\": 3}, {\"weight\": 12475, \"source\": 1, \"target\": 5}, {\"weight\": 11522, \"source\": 1, \"target\": 7}, {\"weight\": 8855, \"source\": 2, \"target\": 8}, {\"weight\": 10136, \"source\": 2, \"target\": 4}, {\"weight\": 2504, \"source\": 2, \"target\": 6}, {\"weight\": 10599, \"source\": 2, \"target\": 3}, {\"weight\": 3442, \"source\": 2, \"target\": 5}, {\"weight\": 18981, \"source\": 2, \"target\": 7}, {\"weight\": 6749, \"source\": 3, \"target\": 8}, {\"weight\": 8248, \"source\": 3, \"target\": 4}, {\"weight\": 8430, \"source\": 3, \"target\": 6}, {\"weight\": 7804, \"source\": 3, \"target\": 5}, {\"weight\": 15372, \"source\": 3, \"target\": 7}, {\"weight\": 2210, \"source\": 4, \"target\": 8}, {\"weight\": 8864, \"source\": 4, \"target\": 6}, {\"weight\": 9297, \"source\": 4, \"target\": 5}, {\"weight\": 12018, \"source\": 4, \"target\": 7}, {\"weight\": 7704, \"source\": 5, \"target\": 8}, {\"weight\": 1722, \"source\": 5, \"target\": 6}, {\"weight\": 18482, \"source\": 5, \"target\": 7}, {\"weight\": 7713, \"source\": 6, \"target\": 8}, {\"weight\": 17782, \"source\": 6, \"target\": 7}, {\"weight\": 13758, \"source\": 7, \"target\": 8}]}",
"id": 1823,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AUQ, EMK, GIB, VIX, MTY, ORN, LRH, PBJ, MIA\n- Travel distances (in kilometers) between each pair of airports:\nAUQ to MIA: 11806\nAUQ to MTY: 10066\nAUQ to EMK: 11160\nAUQ to LRH: 17395\nAUQ to GIB: 18518\nAUQ to VIX: 12776\nAUQ to ORN: 18029\nAUQ to PBJ: 6734\nEMK to MIA: 7295\nEMK to MTY: 6371\nEMK to LRH: 11429\nEMK to GIB: 12552\nEMK to VIX: 14007\nEMK to ORN: 12475\nEMK to PBJ: 11522\nGIB to MIA: 8855\nGIB to MTY: 10136\nGIB to LRH: 2504\nGIB to VIX: 10599\nGIB to ORN: 3442\nGIB to PBJ: 18981\nVIX to MIA: 6749\nVIX to MTY: 8248\nVIX to LRH: 8430\nVIX to ORN: 7804\nVIX to PBJ: 15372\nMTY to MIA: 2210\nMTY to LRH: 8864\nMTY to ORN: 9297\nMTY to PBJ: 12018\nORN to MIA: 7704\nORN to LRH: 1722\nORN to PBJ: 18482\nLRH to MIA: 7713\nLRH to PBJ: 17782\nPBJ to MIA: 13758\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SBH, MTT, UDJ, MAS, CAK, YQF, HOM, ORU, KLG\n- Travel distances (in kilometers) between each pair of airports:\nSBH to MTT: 4406\nSBH to HOM: 8335\nSBH to KLG: 8699\nSBH to ORU: 4738\nSBH to CAK: 3260\nSBH to YQF: 5922\nSBH to MAS: 18859\nSBH to UDJ: 9391\nMTT to HOM: 6800\nMTT to KLG: 7164\nMTT to ORU: 6170\nMTT to CAK: 3489\nMTT to YQF: 4392\nMTT to MAS: 16094\nMTT to UDJ: 11947\nUDJ to HOM: 12360\nUDJ to KLG: 12724\nUDJ to ORU: 12816\nUDJ to CAK: 8763\nUDJ to YQF: 9321\nUDJ to MAS: 14360\nMAS to HOM: 13977\nMAS to KLG: 14341\nMAS to ORU: 17127\nMAS to CAK: 16383\nMAS to YQF: 13961\nCAK to HOM: 5291\nCAK to KLG: 5655\nCAK to ORU: 6909\nCAK to YQF: 2868\nYQF to HOM: 3320\nYQF to KLG: 3684\nYQF to ORU: 9282\nHOM to KLG: 740\nHOM to ORU: 11811\nORU to KLG: 12175\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59417,
"style": "rule"
}
|
{
"exact_answer": 59417,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SBH\", \"id\": 0}, {\"name\": \"MTT\", \"id\": 1}, {\"name\": \"UDJ\", \"id\": 2}, {\"name\": \"MAS\", \"id\": 3}, {\"name\": \"CAK\", \"id\": 4}, {\"name\": \"YQF\", \"id\": 5}, {\"name\": \"HOM\", \"id\": 6}, {\"name\": \"ORU\", \"id\": 7}, {\"name\": \"KLG\", \"id\": 8}], \"links\": [{\"weight\": 4406, \"source\": 0, \"target\": 1}, {\"weight\": 8335, \"source\": 0, \"target\": 6}, {\"weight\": 8699, \"source\": 0, \"target\": 8}, {\"weight\": 4738, \"source\": 0, \"target\": 7}, {\"weight\": 3260, \"source\": 0, \"target\": 4}, {\"weight\": 5922, \"source\": 0, \"target\": 5}, {\"weight\": 18859, \"source\": 0, \"target\": 3}, {\"weight\": 9391, \"source\": 0, \"target\": 2}, {\"weight\": 6800, \"source\": 1, \"target\": 6}, {\"weight\": 7164, \"source\": 1, \"target\": 8}, {\"weight\": 6170, \"source\": 1, \"target\": 7}, {\"weight\": 3489, \"source\": 1, \"target\": 4}, {\"weight\": 4392, \"source\": 1, \"target\": 5}, {\"weight\": 16094, \"source\": 1, \"target\": 3}, {\"weight\": 11947, \"source\": 1, \"target\": 2}, {\"weight\": 12360, \"source\": 2, \"target\": 6}, {\"weight\": 12724, \"source\": 2, \"target\": 8}, {\"weight\": 12816, \"source\": 2, \"target\": 7}, {\"weight\": 8763, \"source\": 2, \"target\": 4}, {\"weight\": 9321, \"source\": 2, \"target\": 5}, {\"weight\": 14360, \"source\": 2, \"target\": 3}, {\"weight\": 13977, \"source\": 3, \"target\": 6}, {\"weight\": 14341, \"source\": 3, \"target\": 8}, {\"weight\": 17127, \"source\": 3, \"target\": 7}, {\"weight\": 16383, \"source\": 3, \"target\": 4}, {\"weight\": 13961, \"source\": 3, \"target\": 5}, {\"weight\": 5291, \"source\": 4, \"target\": 6}, {\"weight\": 5655, \"source\": 4, \"target\": 8}, {\"weight\": 6909, \"source\": 4, \"target\": 7}, {\"weight\": 2868, \"source\": 4, \"target\": 5}, {\"weight\": 3320, \"source\": 5, \"target\": 6}, {\"weight\": 3684, \"source\": 5, \"target\": 8}, {\"weight\": 9282, \"source\": 5, \"target\": 7}, {\"weight\": 740, \"source\": 6, \"target\": 8}, {\"weight\": 11811, \"source\": 6, \"target\": 7}, {\"weight\": 12175, \"source\": 7, \"target\": 8}]}",
"id": 1824,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SBH, MTT, UDJ, MAS, CAK, YQF, HOM, ORU, KLG\n- Travel distances (in kilometers) between each pair of airports:\nSBH to MTT: 4406\nSBH to HOM: 8335\nSBH to KLG: 8699\nSBH to ORU: 4738\nSBH to CAK: 3260\nSBH to YQF: 5922\nSBH to MAS: 18859\nSBH to UDJ: 9391\nMTT to HOM: 6800\nMTT to KLG: 7164\nMTT to ORU: 6170\nMTT to CAK: 3489\nMTT to YQF: 4392\nMTT to MAS: 16094\nMTT to UDJ: 11947\nUDJ to HOM: 12360\nUDJ to KLG: 12724\nUDJ to ORU: 12816\nUDJ to CAK: 8763\nUDJ to YQF: 9321\nUDJ to MAS: 14360\nMAS to HOM: 13977\nMAS to KLG: 14341\nMAS to ORU: 17127\nMAS to CAK: 16383\nMAS to YQF: 13961\nCAK to HOM: 5291\nCAK to KLG: 5655\nCAK to ORU: 6909\nCAK to YQF: 2868\nYQF to HOM: 3320\nYQF to KLG: 3684\nYQF to ORU: 9282\nHOM to KLG: 740\nHOM to ORU: 11811\nORU to KLG: 12175\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOI, YAP, XSB, GLF, BPL, STX, MUB, BAX, MEC\n- Travel distances (in kilometers) between each pair of airports:\nBOI to GLF: 5078\nBOI to STX: 5589\nBOI to MUB: 16045\nBOI to MEC: 6442\nBOI to BPL: 12193\nBOI to XSB: 12865\nBOI to BAX: 12693\nBOI to YAP: 11626\nYAP to GLF: 15590\nYAP to STX: 16613\nYAP to MUB: 13975\nYAP to MEC: 16879\nYAP to BPL: 7015\nYAP to XSB: 9333\nYAP to BAX: 13224\nXSB to GLF: 14630\nXSB to STX: 12447\nXSB to MUB: 6668\nXSB to MEC: 14941\nXSB to BPL: 4349\nXSB to BAX: 6848\nGLF to STX: 2546\nGLF to MUB: 14059\nGLF to MEC: 2013\nGLF to BPL: 15361\nGLF to BAX: 14114\nBPL to STX: 13430\nBPL to MUB: 10317\nBPL to MEC: 16060\nBPL to BAX: 7095\nSTX to MUB: 13437\nSTX to MEC: 2896\nSTX to BAX: 12183\nMUB to MEC: 12859\nMUB to BAX: 12107\nBAX to MEC: 14813\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62259,
"style": "rule"
}
|
{
"exact_answer": 62259,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BOI\", \"id\": 0}, {\"name\": \"YAP\", \"id\": 1}, {\"name\": \"XSB\", \"id\": 2}, {\"name\": \"GLF\", \"id\": 3}, {\"name\": \"BPL\", \"id\": 4}, {\"name\": \"STX\", \"id\": 5}, {\"name\": \"MUB\", \"id\": 6}, {\"name\": \"BAX\", \"id\": 7}, {\"name\": \"MEC\", \"id\": 8}], \"links\": [{\"weight\": 5078, \"source\": 0, \"target\": 3}, {\"weight\": 5589, \"source\": 0, \"target\": 5}, {\"weight\": 16045, \"source\": 0, \"target\": 6}, {\"weight\": 6442, \"source\": 0, \"target\": 8}, {\"weight\": 12193, \"source\": 0, \"target\": 4}, {\"weight\": 12865, \"source\": 0, \"target\": 2}, {\"weight\": 12693, \"source\": 0, \"target\": 7}, {\"weight\": 11626, \"source\": 0, \"target\": 1}, {\"weight\": 15590, \"source\": 1, \"target\": 3}, {\"weight\": 16613, \"source\": 1, \"target\": 5}, {\"weight\": 13975, \"source\": 1, \"target\": 6}, {\"weight\": 16879, \"source\": 1, \"target\": 8}, {\"weight\": 7015, \"source\": 1, \"target\": 4}, {\"weight\": 9333, \"source\": 1, \"target\": 2}, {\"weight\": 13224, \"source\": 1, \"target\": 7}, {\"weight\": 14630, \"source\": 2, \"target\": 3}, {\"weight\": 12447, \"source\": 2, \"target\": 5}, {\"weight\": 6668, \"source\": 2, \"target\": 6}, {\"weight\": 14941, \"source\": 2, \"target\": 8}, {\"weight\": 4349, \"source\": 2, \"target\": 4}, {\"weight\": 6848, \"source\": 2, \"target\": 7}, {\"weight\": 2546, \"source\": 3, \"target\": 5}, {\"weight\": 14059, \"source\": 3, \"target\": 6}, {\"weight\": 2013, \"source\": 3, \"target\": 8}, {\"weight\": 15361, \"source\": 3, \"target\": 4}, {\"weight\": 14114, \"source\": 3, \"target\": 7}, {\"weight\": 13430, \"source\": 4, \"target\": 5}, {\"weight\": 10317, \"source\": 4, \"target\": 6}, {\"weight\": 16060, \"source\": 4, \"target\": 8}, {\"weight\": 7095, \"source\": 4, \"target\": 7}, {\"weight\": 13437, \"source\": 5, \"target\": 6}, {\"weight\": 2896, \"source\": 5, \"target\": 8}, {\"weight\": 12183, \"source\": 5, \"target\": 7}, {\"weight\": 12859, \"source\": 6, \"target\": 8}, {\"weight\": 12107, \"source\": 6, \"target\": 7}, {\"weight\": 14813, \"source\": 7, \"target\": 8}]}",
"id": 1825,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BOI, YAP, XSB, GLF, BPL, STX, MUB, BAX, MEC\n- Travel distances (in kilometers) between each pair of airports:\nBOI to GLF: 5078\nBOI to STX: 5589\nBOI to MUB: 16045\nBOI to MEC: 6442\nBOI to BPL: 12193\nBOI to XSB: 12865\nBOI to BAX: 12693\nBOI to YAP: 11626\nYAP to GLF: 15590\nYAP to STX: 16613\nYAP to MUB: 13975\nYAP to MEC: 16879\nYAP to BPL: 7015\nYAP to XSB: 9333\nYAP to BAX: 13224\nXSB to GLF: 14630\nXSB to STX: 12447\nXSB to MUB: 6668\nXSB to MEC: 14941\nXSB to BPL: 4349\nXSB to BAX: 6848\nGLF to STX: 2546\nGLF to MUB: 14059\nGLF to MEC: 2013\nGLF to BPL: 15361\nGLF to BAX: 14114\nBPL to STX: 13430\nBPL to MUB: 10317\nBPL to MEC: 16060\nBPL to BAX: 7095\nSTX to MUB: 13437\nSTX to MEC: 2896\nSTX to BAX: 12183\nMUB to MEC: 12859\nMUB to BAX: 12107\nBAX to MEC: 14813\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NBO, VLY, AIN, YVB, CAB, HBX, AUH, NAN, ANR\n- Travel distances (in kilometers) between each pair of airports:\nNBO to AUH: 3443\nNBO to AIN: 17918\nNBO to NAN: 15300\nNBO to ANR: 7150\nNBO to CAB: 3132\nNBO to YVB: 12227\nNBO to HBX: 5008\nNBO to VLY: 7316\nVLY to AIN: 11286\nVLY to AUH: 5948\nVLY to NAN: 17259\nVLY to ANR: 1085\nVLY to CAB: 7719\nVLY to YVB: 6355\nVLY to HBX: 8119\nAIN to AUH: 15772\nAIN to NAN: 10879\nAIN to ANR: 11438\nAIN to CAB: 17920\nAIN to YVB: 7565\nAIN to HBX: 17346\nYVB to AUH: 10901\nYVB to NAN: 13563\nYVB to ANR: 6339\nYVB to CAB: 11884\nYVB to HBX: 13074\nCAB to AUH: 6243\nCAB to NAN: 17061\nCAB to ANR: 7692\nCAB to HBX: 8140\nHBX to AUH: 2446\nHBX to NAN: 11882\nHBX to ANR: 7969\nAUH to NAN: 14208\nAUH to ANR: 5788\nNAN to ANR: 17302\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 54479,
"style": "rule"
}
|
{
"exact_answer": 54479,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NBO\", \"id\": 0}, {\"name\": \"VLY\", \"id\": 1}, {\"name\": \"AIN\", \"id\": 2}, {\"name\": \"YVB\", \"id\": 3}, {\"name\": \"CAB\", \"id\": 4}, {\"name\": \"HBX\", \"id\": 5}, {\"name\": \"AUH\", \"id\": 6}, {\"name\": \"NAN\", \"id\": 7}, {\"name\": \"ANR\", \"id\": 8}], \"links\": [{\"weight\": 3443, \"source\": 0, \"target\": 6}, {\"weight\": 17918, \"source\": 0, \"target\": 2}, {\"weight\": 15300, \"source\": 0, \"target\": 7}, {\"weight\": 7150, \"source\": 0, \"target\": 8}, {\"weight\": 3132, \"source\": 0, \"target\": 4}, {\"weight\": 12227, \"source\": 0, \"target\": 3}, {\"weight\": 5008, \"source\": 0, \"target\": 5}, {\"weight\": 7316, \"source\": 0, \"target\": 1}, {\"weight\": 11286, \"source\": 1, \"target\": 2}, {\"weight\": 5948, \"source\": 1, \"target\": 6}, {\"weight\": 17259, \"source\": 1, \"target\": 7}, {\"weight\": 1085, \"source\": 1, \"target\": 8}, {\"weight\": 7719, \"source\": 1, \"target\": 4}, {\"weight\": 6355, \"source\": 1, \"target\": 3}, {\"weight\": 8119, \"source\": 1, \"target\": 5}, {\"weight\": 15772, \"source\": 2, \"target\": 6}, {\"weight\": 10879, \"source\": 2, \"target\": 7}, {\"weight\": 11438, \"source\": 2, \"target\": 8}, {\"weight\": 17920, \"source\": 2, \"target\": 4}, {\"weight\": 7565, \"source\": 2, \"target\": 3}, {\"weight\": 17346, \"source\": 2, \"target\": 5}, {\"weight\": 10901, \"source\": 3, \"target\": 6}, {\"weight\": 13563, \"source\": 3, \"target\": 7}, {\"weight\": 6339, \"source\": 3, \"target\": 8}, {\"weight\": 11884, \"source\": 3, \"target\": 4}, {\"weight\": 13074, \"source\": 3, \"target\": 5}, {\"weight\": 6243, \"source\": 4, \"target\": 6}, {\"weight\": 17061, \"source\": 4, \"target\": 7}, {\"weight\": 7692, \"source\": 4, \"target\": 8}, {\"weight\": 8140, \"source\": 4, \"target\": 5}, {\"weight\": 2446, \"source\": 5, \"target\": 6}, {\"weight\": 11882, \"source\": 5, \"target\": 7}, {\"weight\": 7969, \"source\": 5, \"target\": 8}, {\"weight\": 14208, \"source\": 6, \"target\": 7}, {\"weight\": 5788, \"source\": 6, \"target\": 8}, {\"weight\": 17302, \"source\": 7, \"target\": 8}]}",
"id": 1826,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NBO, VLY, AIN, YVB, CAB, HBX, AUH, NAN, ANR\n- Travel distances (in kilometers) between each pair of airports:\nNBO to AUH: 3443\nNBO to AIN: 17918\nNBO to NAN: 15300\nNBO to ANR: 7150\nNBO to CAB: 3132\nNBO to YVB: 12227\nNBO to HBX: 5008\nNBO to VLY: 7316\nVLY to AIN: 11286\nVLY to AUH: 5948\nVLY to NAN: 17259\nVLY to ANR: 1085\nVLY to CAB: 7719\nVLY to YVB: 6355\nVLY to HBX: 8119\nAIN to AUH: 15772\nAIN to NAN: 10879\nAIN to ANR: 11438\nAIN to CAB: 17920\nAIN to YVB: 7565\nAIN to HBX: 17346\nYVB to AUH: 10901\nYVB to NAN: 13563\nYVB to ANR: 6339\nYVB to CAB: 11884\nYVB to HBX: 13074\nCAB to AUH: 6243\nCAB to NAN: 17061\nCAB to ANR: 7692\nCAB to HBX: 8140\nHBX to AUH: 2446\nHBX to NAN: 11882\nHBX to ANR: 7969\nAUH to NAN: 14208\nAUH to ANR: 5788\nNAN to ANR: 17302\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WRE, BSS, MLH, TJA, YFH, KHV, OMD, CJJ, GNV\n- Travel distances (in kilometers) between each pair of airports:\nWRE to GNV: 14236\nWRE to CJJ: 10259\nWRE to TJA: 12386\nWRE to MLH: 19039\nWRE to KHV: 10458\nWRE to BSS: 14681\nWRE to OMD: 15175\nWRE to YFH: 14083\nBSS to GNV: 5735\nBSS to CJJ: 17551\nBSS to TJA: 4586\nBSS to MLH: 8681\nBSS to KHV: 16999\nBSS to OMD: 10709\nBSS to YFH: 7965\nMLH to GNV: 7730\nMLH to CJJ: 9490\nMLH to TJA: 10571\nMLH to KHV: 8890\nMLH to OMD: 9126\nMLH to YFH: 7713\nTJA to GNV: 6025\nTJA to CJJ: 18517\nTJA to KHV: 18706\nTJA to OMD: 11111\nTJA to YFH: 8762\nYFH to GNV: 2852\nYFH to CJJ: 11480\nYFH to KHV: 11585\nYFH to OMD: 14438\nKHV to GNV: 12966\nKHV to CJJ: 1848\nKHV to OMD: 14729\nOMD to GNV: 14042\nOMD to CJJ: 14145\nCJJ to GNV: 12777\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 68057,
"style": "rule"
}
|
{
"exact_answer": 68057,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"WRE\", \"id\": 0}, {\"name\": \"BSS\", \"id\": 1}, {\"name\": \"MLH\", \"id\": 2}, {\"name\": \"TJA\", \"id\": 3}, {\"name\": \"YFH\", \"id\": 4}, {\"name\": \"KHV\", \"id\": 5}, {\"name\": \"OMD\", \"id\": 6}, {\"name\": \"CJJ\", \"id\": 7}, {\"name\": \"GNV\", \"id\": 8}], \"links\": [{\"weight\": 14236, \"source\": 0, \"target\": 8}, {\"weight\": 10259, \"source\": 0, \"target\": 7}, {\"weight\": 12386, \"source\": 0, \"target\": 3}, {\"weight\": 19039, \"source\": 0, \"target\": 2}, {\"weight\": 10458, \"source\": 0, \"target\": 5}, {\"weight\": 14681, \"source\": 0, \"target\": 1}, {\"weight\": 15175, \"source\": 0, \"target\": 6}, {\"weight\": 14083, \"source\": 0, \"target\": 4}, {\"weight\": 5735, \"source\": 1, \"target\": 8}, {\"weight\": 17551, \"source\": 1, \"target\": 7}, {\"weight\": 4586, \"source\": 1, \"target\": 3}, {\"weight\": 8681, \"source\": 1, \"target\": 2}, {\"weight\": 16999, \"source\": 1, \"target\": 5}, {\"weight\": 10709, \"source\": 1, \"target\": 6}, {\"weight\": 7965, \"source\": 1, \"target\": 4}, {\"weight\": 7730, \"source\": 2, \"target\": 8}, {\"weight\": 9490, \"source\": 2, \"target\": 7}, {\"weight\": 10571, \"source\": 2, \"target\": 3}, {\"weight\": 8890, \"source\": 2, \"target\": 5}, {\"weight\": 9126, \"source\": 2, \"target\": 6}, {\"weight\": 7713, \"source\": 2, \"target\": 4}, {\"weight\": 6025, \"source\": 3, \"target\": 8}, {\"weight\": 18517, \"source\": 3, \"target\": 7}, {\"weight\": 18706, \"source\": 3, \"target\": 5}, {\"weight\": 11111, \"source\": 3, \"target\": 6}, {\"weight\": 8762, \"source\": 3, \"target\": 4}, {\"weight\": 2852, \"source\": 4, \"target\": 8}, {\"weight\": 11480, \"source\": 4, \"target\": 7}, {\"weight\": 11585, \"source\": 4, \"target\": 5}, {\"weight\": 14438, \"source\": 4, \"target\": 6}, {\"weight\": 12966, \"source\": 5, \"target\": 8}, {\"weight\": 1848, \"source\": 5, \"target\": 7}, {\"weight\": 14729, \"source\": 5, \"target\": 6}, {\"weight\": 14042, \"source\": 6, \"target\": 8}, {\"weight\": 14145, \"source\": 6, \"target\": 7}, {\"weight\": 12777, \"source\": 7, \"target\": 8}]}",
"id": 1827,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: WRE, BSS, MLH, TJA, YFH, KHV, OMD, CJJ, GNV\n- Travel distances (in kilometers) between each pair of airports:\nWRE to GNV: 14236\nWRE to CJJ: 10259\nWRE to TJA: 12386\nWRE to MLH: 19039\nWRE to KHV: 10458\nWRE to BSS: 14681\nWRE to OMD: 15175\nWRE to YFH: 14083\nBSS to GNV: 5735\nBSS to CJJ: 17551\nBSS to TJA: 4586\nBSS to MLH: 8681\nBSS to KHV: 16999\nBSS to OMD: 10709\nBSS to YFH: 7965\nMLH to GNV: 7730\nMLH to CJJ: 9490\nMLH to TJA: 10571\nMLH to KHV: 8890\nMLH to OMD: 9126\nMLH to YFH: 7713\nTJA to GNV: 6025\nTJA to CJJ: 18517\nTJA to KHV: 18706\nTJA to OMD: 11111\nTJA to YFH: 8762\nYFH to GNV: 2852\nYFH to CJJ: 11480\nYFH to KHV: 11585\nYFH to OMD: 14438\nKHV to GNV: 12966\nKHV to CJJ: 1848\nKHV to OMD: 14729\nOMD to GNV: 14042\nOMD to CJJ: 14145\nCJJ to GNV: 12777\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACT, BKG, BES, KSU, SKN, CCC, AKN, LDB, ADB\n- Travel distances (in kilometers) between each pair of airports:\nACT to ADB: 10367\nACT to BES: 8116\nACT to CCC: 2728\nACT to LDB: 8727\nACT to AKN: 5501\nACT to KSU: 8033\nACT to BKG: 1245\nACT to SKN: 8474\nBKG to ADB: 9754\nBKG to BES: 7505\nBKG to CCC: 3111\nBKG to LDB: 9094\nBKG to AKN: 5392\nBKG to KSU: 7419\nBKG to SKN: 7860\nBES to ADB: 2772\nBES to CCC: 7736\nBES to LDB: 9796\nBES to AKN: 10879\nBES to KSU: 1865\nBES to SKN: 2565\nKSU to ADB: 3092\nKSU to CCC: 8323\nKSU to LDB: 11277\nKSU to AKN: 10389\nKSU to SKN: 759\nSKN to ADB: 3624\nSKN to CCC: 8764\nSKN to LDB: 11977\nSKN to AKN: 10830\nCCC to ADB: 9904\nCCC to LDB: 7310\nCCC to AKN: 7941\nAKN to ADB: 12949\nAKN to LDB: 13702\nLDB to ADB: 11213\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43924,
"style": "rule"
}
|
{
"exact_answer": 43924,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ACT\", \"id\": 0}, {\"name\": \"BKG\", \"id\": 1}, {\"name\": \"BES\", \"id\": 2}, {\"name\": \"KSU\", \"id\": 3}, {\"name\": \"SKN\", \"id\": 4}, {\"name\": \"CCC\", \"id\": 5}, {\"name\": \"AKN\", \"id\": 6}, {\"name\": \"LDB\", \"id\": 7}, {\"name\": \"ADB\", \"id\": 8}], \"links\": [{\"weight\": 10367, \"source\": 0, \"target\": 8}, {\"weight\": 8116, \"source\": 0, \"target\": 2}, {\"weight\": 2728, \"source\": 0, \"target\": 5}, {\"weight\": 8727, \"source\": 0, \"target\": 7}, {\"weight\": 5501, \"source\": 0, \"target\": 6}, {\"weight\": 8033, \"source\": 0, \"target\": 3}, {\"weight\": 1245, \"source\": 0, \"target\": 1}, {\"weight\": 8474, \"source\": 0, \"target\": 4}, {\"weight\": 9754, \"source\": 1, \"target\": 8}, {\"weight\": 7505, \"source\": 1, \"target\": 2}, {\"weight\": 3111, \"source\": 1, \"target\": 5}, {\"weight\": 9094, \"source\": 1, \"target\": 7}, {\"weight\": 5392, \"source\": 1, \"target\": 6}, {\"weight\": 7419, \"source\": 1, \"target\": 3}, {\"weight\": 7860, \"source\": 1, \"target\": 4}, {\"weight\": 2772, \"source\": 2, \"target\": 8}, {\"weight\": 7736, \"source\": 2, \"target\": 5}, {\"weight\": 9796, \"source\": 2, \"target\": 7}, {\"weight\": 10879, \"source\": 2, \"target\": 6}, {\"weight\": 1865, \"source\": 2, \"target\": 3}, {\"weight\": 2565, \"source\": 2, \"target\": 4}, {\"weight\": 3092, \"source\": 3, \"target\": 8}, {\"weight\": 8323, \"source\": 3, \"target\": 5}, {\"weight\": 11277, \"source\": 3, \"target\": 7}, {\"weight\": 10389, \"source\": 3, \"target\": 6}, {\"weight\": 759, \"source\": 3, \"target\": 4}, {\"weight\": 3624, \"source\": 4, \"target\": 8}, {\"weight\": 8764, \"source\": 4, \"target\": 5}, {\"weight\": 11977, \"source\": 4, \"target\": 7}, {\"weight\": 10830, \"source\": 4, \"target\": 6}, {\"weight\": 9904, \"source\": 5, \"target\": 8}, {\"weight\": 7310, \"source\": 5, \"target\": 7}, {\"weight\": 7941, \"source\": 5, \"target\": 6}, {\"weight\": 12949, \"source\": 6, \"target\": 8}, {\"weight\": 13702, \"source\": 6, \"target\": 7}, {\"weight\": 11213, \"source\": 7, \"target\": 8}]}",
"id": 1828,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ACT, BKG, BES, KSU, SKN, CCC, AKN, LDB, ADB\n- Travel distances (in kilometers) between each pair of airports:\nACT to ADB: 10367\nACT to BES: 8116\nACT to CCC: 2728\nACT to LDB: 8727\nACT to AKN: 5501\nACT to KSU: 8033\nACT to BKG: 1245\nACT to SKN: 8474\nBKG to ADB: 9754\nBKG to BES: 7505\nBKG to CCC: 3111\nBKG to LDB: 9094\nBKG to AKN: 5392\nBKG to KSU: 7419\nBKG to SKN: 7860\nBES to ADB: 2772\nBES to CCC: 7736\nBES to LDB: 9796\nBES to AKN: 10879\nBES to KSU: 1865\nBES to SKN: 2565\nKSU to ADB: 3092\nKSU to CCC: 8323\nKSU to LDB: 11277\nKSU to AKN: 10389\nKSU to SKN: 759\nSKN to ADB: 3624\nSKN to CCC: 8764\nSKN to LDB: 11977\nSKN to AKN: 10830\nCCC to ADB: 9904\nCCC to LDB: 7310\nCCC to AKN: 7941\nAKN to ADB: 12949\nAKN to LDB: 13702\nLDB to ADB: 11213\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGU, GTF, DAT, TOL, CKY, SJD, XCR, CLQ, ROO\n- Travel distances (in kilometers) between each pair of airports:\nAGU to CKY: 10179\nAGU to DAT: 12382\nAGU to SJD: 1520\nAGU to TOL: 2966\nAGU to ROO: 7445\nAGU to CLQ: 893\nAGU to GTF: 3234\nAGU to XCR: 10076\nGTF to CKY: 9905\nGTF to DAT: 9764\nGTF to SJD: 2717\nGTF to TOL: 2301\nGTF to ROO: 9710\nGTF to CLQ: 3808\nGTF to XCR: 9465\nDAT to CKY: 12818\nDAT to SJD: 11768\nDAT to TOL: 11168\nDAT to ROO: 18264\nDAT to CLQ: 13172\nDAT to XCR: 10992\nTOL to CKY: 8360\nTOL to SJD: 3251\nTOL to ROO: 7746\nTOL to CLQ: 3532\nTOL to XCR: 7996\nCKY to SJD: 10641\nCKY to ROO: 6658\nCKY to CLQ: 10585\nCKY to XCR: 4920\nSJD to ROO: 8200\nSJD to CLQ: 1649\nSJD to XCR: 10514\nXCR to ROO: 9935\nXCR to CLQ: 10485\nCLQ to ROO: 7496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 47795,
"style": "rule"
}
|
{
"exact_answer": 47795,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AGU\", \"id\": 0}, {\"name\": \"GTF\", \"id\": 1}, {\"name\": \"DAT\", \"id\": 2}, {\"name\": \"TOL\", \"id\": 3}, {\"name\": \"CKY\", \"id\": 4}, {\"name\": \"SJD\", \"id\": 5}, {\"name\": \"XCR\", \"id\": 6}, {\"name\": \"CLQ\", \"id\": 7}, {\"name\": \"ROO\", \"id\": 8}], \"links\": [{\"weight\": 10179, \"source\": 0, \"target\": 4}, {\"weight\": 12382, \"source\": 0, \"target\": 2}, {\"weight\": 1520, \"source\": 0, \"target\": 5}, {\"weight\": 2966, \"source\": 0, \"target\": 3}, {\"weight\": 7445, \"source\": 0, \"target\": 8}, {\"weight\": 893, \"source\": 0, \"target\": 7}, {\"weight\": 3234, \"source\": 0, \"target\": 1}, {\"weight\": 10076, \"source\": 0, \"target\": 6}, {\"weight\": 9905, \"source\": 1, \"target\": 4}, {\"weight\": 9764, \"source\": 1, \"target\": 2}, {\"weight\": 2717, \"source\": 1, \"target\": 5}, {\"weight\": 2301, \"source\": 1, \"target\": 3}, {\"weight\": 9710, \"source\": 1, \"target\": 8}, {\"weight\": 3808, \"source\": 1, \"target\": 7}, {\"weight\": 9465, \"source\": 1, \"target\": 6}, {\"weight\": 12818, \"source\": 2, \"target\": 4}, {\"weight\": 11768, \"source\": 2, \"target\": 5}, {\"weight\": 11168, \"source\": 2, \"target\": 3}, {\"weight\": 18264, \"source\": 2, \"target\": 8}, {\"weight\": 13172, \"source\": 2, \"target\": 7}, {\"weight\": 10992, \"source\": 2, \"target\": 6}, {\"weight\": 8360, \"source\": 3, \"target\": 4}, {\"weight\": 3251, \"source\": 3, \"target\": 5}, {\"weight\": 7746, \"source\": 3, \"target\": 8}, {\"weight\": 3532, \"source\": 3, \"target\": 7}, {\"weight\": 7996, \"source\": 3, \"target\": 6}, {\"weight\": 10641, \"source\": 4, \"target\": 5}, {\"weight\": 6658, \"source\": 4, \"target\": 8}, {\"weight\": 10585, \"source\": 4, \"target\": 7}, {\"weight\": 4920, \"source\": 4, \"target\": 6}, {\"weight\": 8200, \"source\": 5, \"target\": 8}, {\"weight\": 1649, \"source\": 5, \"target\": 7}, {\"weight\": 10514, \"source\": 5, \"target\": 6}, {\"weight\": 9935, \"source\": 6, \"target\": 8}, {\"weight\": 10485, \"source\": 6, \"target\": 7}, {\"weight\": 7496, \"source\": 7, \"target\": 8}]}",
"id": 1829,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AGU, GTF, DAT, TOL, CKY, SJD, XCR, CLQ, ROO\n- Travel distances (in kilometers) between each pair of airports:\nAGU to CKY: 10179\nAGU to DAT: 12382\nAGU to SJD: 1520\nAGU to TOL: 2966\nAGU to ROO: 7445\nAGU to CLQ: 893\nAGU to GTF: 3234\nAGU to XCR: 10076\nGTF to CKY: 9905\nGTF to DAT: 9764\nGTF to SJD: 2717\nGTF to TOL: 2301\nGTF to ROO: 9710\nGTF to CLQ: 3808\nGTF to XCR: 9465\nDAT to CKY: 12818\nDAT to SJD: 11768\nDAT to TOL: 11168\nDAT to ROO: 18264\nDAT to CLQ: 13172\nDAT to XCR: 10992\nTOL to CKY: 8360\nTOL to SJD: 3251\nTOL to ROO: 7746\nTOL to CLQ: 3532\nTOL to XCR: 7996\nCKY to SJD: 10641\nCKY to ROO: 6658\nCKY to CLQ: 10585\nCKY to XCR: 4920\nSJD to ROO: 8200\nSJD to CLQ: 1649\nSJD to XCR: 10514\nXCR to ROO: 9935\nXCR to CLQ: 10485\nCLQ to ROO: 7496\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGB, RBQ, NNG, IXB, SXM, ULN, ARW, BIO, IMF\n- Travel distances (in kilometers) between each pair of airports:\nUGB to SXM: 8730\nUGB to NNG: 13695\nUGB to BIO: 11521\nUGB to IMF: 15748\nUGB to IXB: 15348\nUGB to ULN: 12784\nUGB to ARW: 12489\nUGB to RBQ: 12133\nRBQ to SXM: 4603\nRBQ to NNG: 19711\nRBQ to BIO: 10029\nRBQ to IMF: 18654\nRBQ to IXB: 18095\nRBQ to ULN: 17764\nRBQ to ARW: 11825\nNNG to SXM: 15786\nNNG to BIO: 9940\nNNG to IMF: 2691\nNNG to IXB: 2409\nNNG to ULN: 3262\nNNG to ARW: 9913\nIXB to SXM: 14420\nIXB to BIO: 8243\nIXB to IMF: 606\nIXB to ULN: 4896\nIXB to ARW: 8133\nSXM to BIO: 7446\nSXM to IMF: 15026\nSXM to ULN: 13712\nSXM to ARW: 8934\nULN to BIO: 7806\nULN to IMF: 5296\nULN to ARW: 7769\nARW to BIO: 2144\nARW to IMF: 8739\nBIO to IMF: 8843\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52982,
"style": "rule"
}
|
{
"exact_answer": 52982,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"UGB\", \"id\": 0}, {\"name\": \"RBQ\", \"id\": 1}, {\"name\": \"NNG\", \"id\": 2}, {\"name\": \"IXB\", \"id\": 3}, {\"name\": \"SXM\", \"id\": 4}, {\"name\": \"ULN\", \"id\": 5}, {\"name\": \"ARW\", \"id\": 6}, {\"name\": \"BIO\", \"id\": 7}, {\"name\": \"IMF\", \"id\": 8}], \"links\": [{\"weight\": 8730, \"source\": 0, \"target\": 4}, {\"weight\": 13695, \"source\": 0, \"target\": 2}, {\"weight\": 11521, \"source\": 0, \"target\": 7}, {\"weight\": 15748, \"source\": 0, \"target\": 8}, {\"weight\": 15348, \"source\": 0, \"target\": 3}, {\"weight\": 12784, \"source\": 0, \"target\": 5}, {\"weight\": 12489, \"source\": 0, \"target\": 6}, {\"weight\": 12133, \"source\": 0, \"target\": 1}, {\"weight\": 4603, \"source\": 1, \"target\": 4}, {\"weight\": 19711, \"source\": 1, \"target\": 2}, {\"weight\": 10029, \"source\": 1, \"target\": 7}, {\"weight\": 18654, \"source\": 1, \"target\": 8}, {\"weight\": 18095, \"source\": 1, \"target\": 3}, {\"weight\": 17764, \"source\": 1, \"target\": 5}, {\"weight\": 11825, \"source\": 1, \"target\": 6}, {\"weight\": 15786, \"source\": 2, \"target\": 4}, {\"weight\": 9940, \"source\": 2, \"target\": 7}, {\"weight\": 2691, \"source\": 2, \"target\": 8}, {\"weight\": 2409, \"source\": 2, \"target\": 3}, {\"weight\": 3262, \"source\": 2, \"target\": 5}, {\"weight\": 9913, \"source\": 2, \"target\": 6}, {\"weight\": 14420, \"source\": 3, \"target\": 4}, {\"weight\": 8243, \"source\": 3, \"target\": 7}, {\"weight\": 606, \"source\": 3, \"target\": 8}, {\"weight\": 4896, \"source\": 3, \"target\": 5}, {\"weight\": 8133, \"source\": 3, \"target\": 6}, {\"weight\": 7446, \"source\": 4, \"target\": 7}, {\"weight\": 15026, \"source\": 4, \"target\": 8}, {\"weight\": 13712, \"source\": 4, \"target\": 5}, {\"weight\": 8934, \"source\": 4, \"target\": 6}, {\"weight\": 7806, \"source\": 5, \"target\": 7}, {\"weight\": 5296, \"source\": 5, \"target\": 8}, {\"weight\": 7769, \"source\": 5, \"target\": 6}, {\"weight\": 2144, \"source\": 6, \"target\": 7}, {\"weight\": 8739, \"source\": 6, \"target\": 8}, {\"weight\": 8843, \"source\": 7, \"target\": 8}]}",
"id": 1830,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: UGB, RBQ, NNG, IXB, SXM, ULN, ARW, BIO, IMF\n- Travel distances (in kilometers) between each pair of airports:\nUGB to SXM: 8730\nUGB to NNG: 13695\nUGB to BIO: 11521\nUGB to IMF: 15748\nUGB to IXB: 15348\nUGB to ULN: 12784\nUGB to ARW: 12489\nUGB to RBQ: 12133\nRBQ to SXM: 4603\nRBQ to NNG: 19711\nRBQ to BIO: 10029\nRBQ to IMF: 18654\nRBQ to IXB: 18095\nRBQ to ULN: 17764\nRBQ to ARW: 11825\nNNG to SXM: 15786\nNNG to BIO: 9940\nNNG to IMF: 2691\nNNG to IXB: 2409\nNNG to ULN: 3262\nNNG to ARW: 9913\nIXB to SXM: 14420\nIXB to BIO: 8243\nIXB to IMF: 606\nIXB to ULN: 4896\nIXB to ARW: 8133\nSXM to BIO: 7446\nSXM to IMF: 15026\nSXM to ULN: 13712\nSXM to ARW: 8934\nULN to BIO: 7806\nULN to IMF: 5296\nULN to ARW: 7769\nARW to BIO: 2144\nARW to IMF: 8739\nBIO to IMF: 8843\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZX, OIM, CFK, IXZ, PMW, VEL, LHR, ULK, GIS\n- Travel distances (in kilometers) between each pair of airports:\nCZX to ULK: 6236\nCZX to PMW: 18098\nCZX to LHR: 9103\nCZX to IXZ: 4612\nCZX to CFK: 10280\nCZX to VEL: 10623\nCZX to OIM: 2550\nCZX to GIS: 10237\nOIM to ULK: 7374\nOIM to PMW: 17749\nOIM to LHR: 9683\nOIM to IXZ: 6596\nOIM to CFK: 11066\nOIM to VEL: 9121\nOIM to GIS: 9795\nCFK to ULK: 11386\nCFK to PMW: 9591\nCFK to LHR: 1858\nCFK to IXZ: 9864\nCFK to VEL: 9885\nCFK to GIS: 20084\nIXZ to ULK: 10181\nIXZ to PMW: 17112\nIXZ to LHR: 9215\nIXZ to VEL: 14879\nIXZ to GIS: 12830\nPMW to ULK: 19173\nPMW to LHR: 9062\nPMW to VEL: 9155\nPMW to GIS: 14074\nVEL to ULK: 15270\nVEL to LHR: 8244\nVEL to GIS: 11980\nLHR to ULK: 10193\nLHR to GIS: 18759\nULK to GIS: 16087\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 69816,
"style": "rule"
}
|
{
"exact_answer": 69816,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZX\", \"id\": 0}, {\"name\": \"OIM\", \"id\": 1}, {\"name\": \"CFK\", \"id\": 2}, {\"name\": \"IXZ\", \"id\": 3}, {\"name\": \"PMW\", \"id\": 4}, {\"name\": \"VEL\", \"id\": 5}, {\"name\": \"LHR\", \"id\": 6}, {\"name\": \"ULK\", \"id\": 7}, {\"name\": \"GIS\", \"id\": 8}], \"links\": [{\"weight\": 6236, \"source\": 0, \"target\": 7}, {\"weight\": 18098, \"source\": 0, \"target\": 4}, {\"weight\": 9103, \"source\": 0, \"target\": 6}, {\"weight\": 4612, \"source\": 0, \"target\": 3}, {\"weight\": 10280, \"source\": 0, \"target\": 2}, {\"weight\": 10623, \"source\": 0, \"target\": 5}, {\"weight\": 2550, \"source\": 0, \"target\": 1}, {\"weight\": 10237, \"source\": 0, \"target\": 8}, {\"weight\": 7374, \"source\": 1, \"target\": 7}, {\"weight\": 17749, \"source\": 1, \"target\": 4}, {\"weight\": 9683, \"source\": 1, \"target\": 6}, {\"weight\": 6596, \"source\": 1, \"target\": 3}, {\"weight\": 11066, \"source\": 1, \"target\": 2}, {\"weight\": 9121, \"source\": 1, \"target\": 5}, {\"weight\": 9795, \"source\": 1, \"target\": 8}, {\"weight\": 11386, \"source\": 2, \"target\": 7}, {\"weight\": 9591, \"source\": 2, \"target\": 4}, {\"weight\": 1858, \"source\": 2, \"target\": 6}, {\"weight\": 9864, \"source\": 2, \"target\": 3}, {\"weight\": 9885, \"source\": 2, \"target\": 5}, {\"weight\": 20084, \"source\": 2, \"target\": 8}, {\"weight\": 10181, \"source\": 3, \"target\": 7}, {\"weight\": 17112, \"source\": 3, \"target\": 4}, {\"weight\": 9215, \"source\": 3, \"target\": 6}, {\"weight\": 14879, \"source\": 3, \"target\": 5}, {\"weight\": 12830, \"source\": 3, \"target\": 8}, {\"weight\": 19173, \"source\": 4, \"target\": 7}, {\"weight\": 9062, \"source\": 4, \"target\": 6}, {\"weight\": 9155, \"source\": 4, \"target\": 5}, {\"weight\": 14074, \"source\": 4, \"target\": 8}, {\"weight\": 15270, \"source\": 5, \"target\": 7}, {\"weight\": 8244, \"source\": 5, \"target\": 6}, {\"weight\": 11980, \"source\": 5, \"target\": 8}, {\"weight\": 10193, \"source\": 6, \"target\": 7}, {\"weight\": 18759, \"source\": 6, \"target\": 8}, {\"weight\": 16087, \"source\": 7, \"target\": 8}]}",
"id": 1831,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZX, OIM, CFK, IXZ, PMW, VEL, LHR, ULK, GIS\n- Travel distances (in kilometers) between each pair of airports:\nCZX to ULK: 6236\nCZX to PMW: 18098\nCZX to LHR: 9103\nCZX to IXZ: 4612\nCZX to CFK: 10280\nCZX to VEL: 10623\nCZX to OIM: 2550\nCZX to GIS: 10237\nOIM to ULK: 7374\nOIM to PMW: 17749\nOIM to LHR: 9683\nOIM to IXZ: 6596\nOIM to CFK: 11066\nOIM to VEL: 9121\nOIM to GIS: 9795\nCFK to ULK: 11386\nCFK to PMW: 9591\nCFK to LHR: 1858\nCFK to IXZ: 9864\nCFK to VEL: 9885\nCFK to GIS: 20084\nIXZ to ULK: 10181\nIXZ to PMW: 17112\nIXZ to LHR: 9215\nIXZ to VEL: 14879\nIXZ to GIS: 12830\nPMW to ULK: 19173\nPMW to LHR: 9062\nPMW to VEL: 9155\nPMW to GIS: 14074\nVEL to ULK: 15270\nVEL to LHR: 8244\nVEL to GIS: 11980\nLHR to ULK: 10193\nLHR to GIS: 18759\nULK to GIS: 16087\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OBY, EWN, GRZ, MGQ, KLW, LYP, NKI, NSK, AOR\n- Travel distances (in kilometers) between each pair of airports:\nOBY to MGQ: 11568\nOBY to GRZ: 5895\nOBY to EWN: 8330\nOBY to AOR: 14742\nOBY to KLW: 9957\nOBY to LYP: 11446\nOBY to NKI: 10019\nOBY to NSK: 8505\nEWN to MGQ: 13731\nEWN to GRZ: 8015\nEWN to AOR: 16628\nEWN to KLW: 5195\nEWN to LYP: 13889\nEWN to NKI: 5257\nEWN to NSK: 10905\nGRZ to MGQ: 6021\nGRZ to AOR: 9980\nGRZ to KLW: 9986\nGRZ to LYP: 6156\nGRZ to NKI: 10048\nGRZ to NSK: 4519\nMGQ to AOR: 8287\nMGQ to KLW: 15778\nMGQ to LYP: 5020\nMGQ to NKI: 15840\nMGQ to NSK: 8245\nKLW to AOR: 14573\nKLW to LYP: 15213\nKLW to NKI: 240\nKLW to NSK: 12532\nLYP to AOR: 5771\nLYP to NKI: 15275\nLYP to NSK: 6386\nNKI to AOR: 14635\nNKI to NSK: 12594\nNSK to AOR: 7820\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56606,
"style": "rule"
}
|
{
"exact_answer": 56606,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OBY\", \"id\": 0}, {\"name\": \"EWN\", \"id\": 1}, {\"name\": \"GRZ\", \"id\": 2}, {\"name\": \"MGQ\", \"id\": 3}, {\"name\": \"KLW\", \"id\": 4}, {\"name\": \"LYP\", \"id\": 5}, {\"name\": \"NKI\", \"id\": 6}, {\"name\": \"NSK\", \"id\": 7}, {\"name\": \"AOR\", \"id\": 8}], \"links\": [{\"weight\": 11568, \"source\": 0, \"target\": 3}, {\"weight\": 5895, \"source\": 0, \"target\": 2}, {\"weight\": 8330, \"source\": 0, \"target\": 1}, {\"weight\": 14742, \"source\": 0, \"target\": 8}, {\"weight\": 9957, \"source\": 0, \"target\": 4}, {\"weight\": 11446, \"source\": 0, \"target\": 5}, {\"weight\": 10019, \"source\": 0, \"target\": 6}, {\"weight\": 8505, \"source\": 0, \"target\": 7}, {\"weight\": 13731, \"source\": 1, \"target\": 3}, {\"weight\": 8015, \"source\": 1, \"target\": 2}, {\"weight\": 16628, \"source\": 1, \"target\": 8}, {\"weight\": 5195, \"source\": 1, \"target\": 4}, {\"weight\": 13889, \"source\": 1, \"target\": 5}, {\"weight\": 5257, \"source\": 1, \"target\": 6}, {\"weight\": 10905, \"source\": 1, \"target\": 7}, {\"weight\": 6021, \"source\": 2, \"target\": 3}, {\"weight\": 9980, \"source\": 2, \"target\": 8}, {\"weight\": 9986, \"source\": 2, \"target\": 4}, {\"weight\": 6156, \"source\": 2, \"target\": 5}, {\"weight\": 10048, \"source\": 2, \"target\": 6}, {\"weight\": 4519, \"source\": 2, \"target\": 7}, {\"weight\": 8287, \"source\": 3, \"target\": 8}, {\"weight\": 15778, \"source\": 3, \"target\": 4}, {\"weight\": 5020, \"source\": 3, \"target\": 5}, {\"weight\": 15840, \"source\": 3, \"target\": 6}, {\"weight\": 8245, \"source\": 3, \"target\": 7}, {\"weight\": 14573, \"source\": 4, \"target\": 8}, {\"weight\": 15213, \"source\": 4, \"target\": 5}, {\"weight\": 240, \"source\": 4, \"target\": 6}, {\"weight\": 12532, \"source\": 4, \"target\": 7}, {\"weight\": 5771, \"source\": 5, \"target\": 8}, {\"weight\": 15275, \"source\": 5, \"target\": 6}, {\"weight\": 6386, \"source\": 5, \"target\": 7}, {\"weight\": 14635, \"source\": 6, \"target\": 8}, {\"weight\": 12594, \"source\": 6, \"target\": 7}, {\"weight\": 7820, \"source\": 7, \"target\": 8}]}",
"id": 1832,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OBY, EWN, GRZ, MGQ, KLW, LYP, NKI, NSK, AOR\n- Travel distances (in kilometers) between each pair of airports:\nOBY to MGQ: 11568\nOBY to GRZ: 5895\nOBY to EWN: 8330\nOBY to AOR: 14742\nOBY to KLW: 9957\nOBY to LYP: 11446\nOBY to NKI: 10019\nOBY to NSK: 8505\nEWN to MGQ: 13731\nEWN to GRZ: 8015\nEWN to AOR: 16628\nEWN to KLW: 5195\nEWN to LYP: 13889\nEWN to NKI: 5257\nEWN to NSK: 10905\nGRZ to MGQ: 6021\nGRZ to AOR: 9980\nGRZ to KLW: 9986\nGRZ to LYP: 6156\nGRZ to NKI: 10048\nGRZ to NSK: 4519\nMGQ to AOR: 8287\nMGQ to KLW: 15778\nMGQ to LYP: 5020\nMGQ to NKI: 15840\nMGQ to NSK: 8245\nKLW to AOR: 14573\nKLW to LYP: 15213\nKLW to NKI: 240\nKLW to NSK: 12532\nLYP to AOR: 5771\nLYP to NKI: 15275\nLYP to NSK: 6386\nNKI to AOR: 14635\nNKI to NSK: 12594\nNSK to AOR: 7820\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AIT, BNN, NGS, PZB, PSP, QUO, CHG, ABE, MIM\n- Travel distances (in kilometers) between each pair of airports:\nAIT to ABE: 11649\nAIT to PSP: 7973\nAIT to NGS: 11859\nAIT to CHG: 12849\nAIT to PZB: 16717\nAIT to QUO: 18918\nAIT to BNN: 16769\nAIT to MIM: 5598\nBNN to ABE: 6255\nBNN to PSP: 8835\nBNN to NGS: 8793\nBNN to CHG: 7819\nBNN to PZB: 10792\nBNN to QUO: 7121\nBNN to MIM: 16703\nNGS to ABE: 11857\nNGS to PSP: 9889\nNGS to CHG: 1356\nNGS to PZB: 13094\nNGS to QUO: 13492\nNGS to MIM: 8649\nPZB to ABE: 13512\nPZB to PSP: 16992\nPZB to CHG: 12513\nPZB to QUO: 5504\nPZB to MIM: 11817\nPSP to ABE: 3703\nPSP to CHG: 10523\nPSP to QUO: 12821\nPSP to MIM: 12584\nQUO to ABE: 9219\nQUO to CHG: 12361\nQUO to MIM: 16423\nCHG to ABE: 11545\nCHG to MIM: 9384\nABE to MIM: 16260\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58672,
"style": "rule"
}
|
{
"exact_answer": 58672,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"AIT\", \"id\": 0}, {\"name\": \"BNN\", \"id\": 1}, {\"name\": \"NGS\", \"id\": 2}, {\"name\": \"PZB\", \"id\": 3}, {\"name\": \"PSP\", \"id\": 4}, {\"name\": \"QUO\", \"id\": 5}, {\"name\": \"CHG\", \"id\": 6}, {\"name\": \"ABE\", \"id\": 7}, {\"name\": \"MIM\", \"id\": 8}], \"links\": [{\"weight\": 11649, \"source\": 0, \"target\": 7}, {\"weight\": 7973, \"source\": 0, \"target\": 4}, {\"weight\": 11859, \"source\": 0, \"target\": 2}, {\"weight\": 12849, \"source\": 0, \"target\": 6}, {\"weight\": 16717, \"source\": 0, \"target\": 3}, {\"weight\": 18918, \"source\": 0, \"target\": 5}, {\"weight\": 16769, \"source\": 0, \"target\": 1}, {\"weight\": 5598, \"source\": 0, \"target\": 8}, {\"weight\": 6255, \"source\": 1, \"target\": 7}, {\"weight\": 8835, \"source\": 1, \"target\": 4}, {\"weight\": 8793, \"source\": 1, \"target\": 2}, {\"weight\": 7819, \"source\": 1, \"target\": 6}, {\"weight\": 10792, \"source\": 1, \"target\": 3}, {\"weight\": 7121, \"source\": 1, \"target\": 5}, {\"weight\": 16703, \"source\": 1, \"target\": 8}, {\"weight\": 11857, \"source\": 2, \"target\": 7}, {\"weight\": 9889, \"source\": 2, \"target\": 4}, {\"weight\": 1356, \"source\": 2, \"target\": 6}, {\"weight\": 13094, \"source\": 2, \"target\": 3}, {\"weight\": 13492, \"source\": 2, \"target\": 5}, {\"weight\": 8649, \"source\": 2, \"target\": 8}, {\"weight\": 13512, \"source\": 3, \"target\": 7}, {\"weight\": 16992, \"source\": 3, \"target\": 4}, {\"weight\": 12513, \"source\": 3, \"target\": 6}, {\"weight\": 5504, \"source\": 3, \"target\": 5}, {\"weight\": 11817, \"source\": 3, \"target\": 8}, {\"weight\": 3703, \"source\": 4, \"target\": 7}, {\"weight\": 10523, \"source\": 4, \"target\": 6}, {\"weight\": 12821, \"source\": 4, \"target\": 5}, {\"weight\": 12584, \"source\": 4, \"target\": 8}, {\"weight\": 9219, \"source\": 5, \"target\": 7}, {\"weight\": 12361, \"source\": 5, \"target\": 6}, {\"weight\": 16423, \"source\": 5, \"target\": 8}, {\"weight\": 11545, \"source\": 6, \"target\": 7}, {\"weight\": 9384, \"source\": 6, \"target\": 8}, {\"weight\": 16260, \"source\": 7, \"target\": 8}]}",
"id": 1833,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: AIT, BNN, NGS, PZB, PSP, QUO, CHG, ABE, MIM\n- Travel distances (in kilometers) between each pair of airports:\nAIT to ABE: 11649\nAIT to PSP: 7973\nAIT to NGS: 11859\nAIT to CHG: 12849\nAIT to PZB: 16717\nAIT to QUO: 18918\nAIT to BNN: 16769\nAIT to MIM: 5598\nBNN to ABE: 6255\nBNN to PSP: 8835\nBNN to NGS: 8793\nBNN to CHG: 7819\nBNN to PZB: 10792\nBNN to QUO: 7121\nBNN to MIM: 16703\nNGS to ABE: 11857\nNGS to PSP: 9889\nNGS to CHG: 1356\nNGS to PZB: 13094\nNGS to QUO: 13492\nNGS to MIM: 8649\nPZB to ABE: 13512\nPZB to PSP: 16992\nPZB to CHG: 12513\nPZB to QUO: 5504\nPZB to MIM: 11817\nPSP to ABE: 3703\nPSP to CHG: 10523\nPSP to QUO: 12821\nPSP to MIM: 12584\nQUO to ABE: 9219\nQUO to CHG: 12361\nQUO to MIM: 16423\nCHG to ABE: 11545\nCHG to MIM: 9384\nABE to MIM: 16260\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, BOH, PHO, GIZ, CBB, TRR, UUD, AAT, ABI\n- Travel distances (in kilometers) between each pair of airports:\nKLO to PHO: 14462\nKLO to CBB: 19808\nKLO to ABI: 13973\nKLO to AAT: 5328\nKLO to BOH: 11744\nKLO to UUD: 4697\nKLO to GIZ: 9095\nKLO to TRR: 5133\nBOH to PHO: 11320\nBOH to CBB: 10986\nBOH to ABI: 7859\nBOH to AAT: 7349\nBOH to UUD: 7377\nBOH to GIZ: 5472\nBOH to TRR: 9270\nPHO to CBB: 12631\nPHO to ABI: 6268\nPHO to AAT: 14981\nPHO to UUD: 13605\nPHO to GIZ: 16386\nPHO to TRR: 17496\nGIZ to CBB: 13355\nGIZ to ABI: 13264\nGIZ to AAT: 5671\nGIZ to UUD: 6917\nGIZ to TRR: 5241\nCBB to ABI: 6869\nCBB to AAT: 16813\nCBB to UUD: 17048\nCBB to TRR: 16567\nTRR to ABI: 16169\nTRR to AAT: 5401\nTRR to UUD: 6853\nUUD to ABI: 13045\nUUD to AAT: 3380\nAAT to ABI: 13772\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62282,
"style": "rule"
}
|
{
"exact_answer": 62282,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KLO\", \"id\": 0}, {\"name\": \"BOH\", \"id\": 1}, {\"name\": \"PHO\", \"id\": 2}, {\"name\": \"GIZ\", \"id\": 3}, {\"name\": \"CBB\", \"id\": 4}, {\"name\": \"TRR\", \"id\": 5}, {\"name\": \"UUD\", \"id\": 6}, {\"name\": \"AAT\", \"id\": 7}, {\"name\": \"ABI\", \"id\": 8}], \"links\": [{\"weight\": 14462, \"source\": 0, \"target\": 2}, {\"weight\": 19808, \"source\": 0, \"target\": 4}, {\"weight\": 13973, \"source\": 0, \"target\": 8}, {\"weight\": 5328, \"source\": 0, \"target\": 7}, {\"weight\": 11744, \"source\": 0, \"target\": 1}, {\"weight\": 4697, \"source\": 0, \"target\": 6}, {\"weight\": 9095, \"source\": 0, \"target\": 3}, {\"weight\": 5133, \"source\": 0, \"target\": 5}, {\"weight\": 11320, \"source\": 1, \"target\": 2}, {\"weight\": 10986, \"source\": 1, \"target\": 4}, {\"weight\": 7859, \"source\": 1, \"target\": 8}, {\"weight\": 7349, \"source\": 1, \"target\": 7}, {\"weight\": 7377, \"source\": 1, \"target\": 6}, {\"weight\": 5472, \"source\": 1, \"target\": 3}, {\"weight\": 9270, \"source\": 1, \"target\": 5}, {\"weight\": 12631, \"source\": 2, \"target\": 4}, {\"weight\": 6268, \"source\": 2, \"target\": 8}, {\"weight\": 14981, \"source\": 2, \"target\": 7}, {\"weight\": 13605, \"source\": 2, \"target\": 6}, {\"weight\": 16386, \"source\": 2, \"target\": 3}, {\"weight\": 17496, \"source\": 2, \"target\": 5}, {\"weight\": 13355, \"source\": 3, \"target\": 4}, {\"weight\": 13264, \"source\": 3, \"target\": 8}, {\"weight\": 5671, \"source\": 3, \"target\": 7}, {\"weight\": 6917, \"source\": 3, \"target\": 6}, {\"weight\": 5241, \"source\": 3, \"target\": 5}, {\"weight\": 6869, \"source\": 4, \"target\": 8}, {\"weight\": 16813, \"source\": 4, \"target\": 7}, {\"weight\": 17048, \"source\": 4, \"target\": 6}, {\"weight\": 16567, \"source\": 4, \"target\": 5}, {\"weight\": 16169, \"source\": 5, \"target\": 8}, {\"weight\": 5401, \"source\": 5, \"target\": 7}, {\"weight\": 6853, \"source\": 5, \"target\": 6}, {\"weight\": 13045, \"source\": 6, \"target\": 8}, {\"weight\": 3380, \"source\": 6, \"target\": 7}, {\"weight\": 13772, \"source\": 7, \"target\": 8}]}",
"id": 1834,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KLO, BOH, PHO, GIZ, CBB, TRR, UUD, AAT, ABI\n- Travel distances (in kilometers) between each pair of airports:\nKLO to PHO: 14462\nKLO to CBB: 19808\nKLO to ABI: 13973\nKLO to AAT: 5328\nKLO to BOH: 11744\nKLO to UUD: 4697\nKLO to GIZ: 9095\nKLO to TRR: 5133\nBOH to PHO: 11320\nBOH to CBB: 10986\nBOH to ABI: 7859\nBOH to AAT: 7349\nBOH to UUD: 7377\nBOH to GIZ: 5472\nBOH to TRR: 9270\nPHO to CBB: 12631\nPHO to ABI: 6268\nPHO to AAT: 14981\nPHO to UUD: 13605\nPHO to GIZ: 16386\nPHO to TRR: 17496\nGIZ to CBB: 13355\nGIZ to ABI: 13264\nGIZ to AAT: 5671\nGIZ to UUD: 6917\nGIZ to TRR: 5241\nCBB to ABI: 6869\nCBB to AAT: 16813\nCBB to UUD: 17048\nCBB to TRR: 16567\nTRR to ABI: 16169\nTRR to AAT: 5401\nTRR to UUD: 6853\nUUD to ABI: 13045\nUUD to AAT: 3380\nAAT to ABI: 13772\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NCL, CFU, YSJ, OAJ, STZ, NAN, VAN, CCP, TNW\n- Travel distances (in kilometers) between each pair of airports:\nNCL to CFU: 2348\nNCL to CCP: 12773\nNCL to OAJ: 6159\nNCL to NAN: 16878\nNCL to YSJ: 5181\nNCL to TNW: 9702\nNCL to VAN: 3966\nNCL to STZ: 10307\nCFU to CCP: 13168\nCFU to OAJ: 8366\nCFU to NAN: 16826\nCFU to YSJ: 6840\nCFU to TNW: 10913\nCFU to VAN: 2048\nCFU to STZ: 10764\nYSJ to CCP: 9364\nYSJ to OAJ: 1846\nYSJ to NAN: 13475\nYSJ to TNW: 5647\nYSJ to VAN: 8532\nYSJ to STZ: 9056\nOAJ to CCP: 8440\nOAJ to NAN: 12608\nOAJ to TNW: 4388\nOAJ to VAN: 10078\nOAJ to STZ: 8276\nSTZ to CCP: 5009\nSTZ to NAN: 16389\nSTZ to TNW: 6429\nSTZ to VAN: 12642\nNAN to CCP: 12236\nNAN to TNW: 14659\nNAN to VAN: 16582\nVAN to CCP: 14875\nVAN to TNW: 12873\nCCP to TNW: 4355\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56067,
"style": "rule"
}
|
{
"exact_answer": 56067,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NCL\", \"id\": 0}, {\"name\": \"CFU\", \"id\": 1}, {\"name\": \"YSJ\", \"id\": 2}, {\"name\": \"OAJ\", \"id\": 3}, {\"name\": \"STZ\", \"id\": 4}, {\"name\": \"NAN\", \"id\": 5}, {\"name\": \"VAN\", \"id\": 6}, {\"name\": \"CCP\", \"id\": 7}, {\"name\": \"TNW\", \"id\": 8}], \"links\": [{\"weight\": 2348, \"source\": 0, \"target\": 1}, {\"weight\": 12773, \"source\": 0, \"target\": 7}, {\"weight\": 6159, \"source\": 0, \"target\": 3}, {\"weight\": 16878, \"source\": 0, \"target\": 5}, {\"weight\": 5181, \"source\": 0, \"target\": 2}, {\"weight\": 9702, \"source\": 0, \"target\": 8}, {\"weight\": 3966, \"source\": 0, \"target\": 6}, {\"weight\": 10307, \"source\": 0, \"target\": 4}, {\"weight\": 13168, \"source\": 1, \"target\": 7}, {\"weight\": 8366, \"source\": 1, \"target\": 3}, {\"weight\": 16826, \"source\": 1, \"target\": 5}, {\"weight\": 6840, \"source\": 1, \"target\": 2}, {\"weight\": 10913, \"source\": 1, \"target\": 8}, {\"weight\": 2048, \"source\": 1, \"target\": 6}, {\"weight\": 10764, \"source\": 1, \"target\": 4}, {\"weight\": 9364, \"source\": 2, \"target\": 7}, {\"weight\": 1846, \"source\": 2, \"target\": 3}, {\"weight\": 13475, \"source\": 2, \"target\": 5}, {\"weight\": 5647, \"source\": 2, \"target\": 8}, {\"weight\": 8532, \"source\": 2, \"target\": 6}, {\"weight\": 9056, \"source\": 2, \"target\": 4}, {\"weight\": 8440, \"source\": 3, \"target\": 7}, {\"weight\": 12608, \"source\": 3, \"target\": 5}, {\"weight\": 4388, \"source\": 3, \"target\": 8}, {\"weight\": 10078, \"source\": 3, \"target\": 6}, {\"weight\": 8276, \"source\": 3, \"target\": 4}, {\"weight\": 5009, \"source\": 4, \"target\": 7}, {\"weight\": 16389, \"source\": 4, \"target\": 5}, {\"weight\": 6429, \"source\": 4, \"target\": 8}, {\"weight\": 12642, \"source\": 4, \"target\": 6}, {\"weight\": 12236, \"source\": 5, \"target\": 7}, {\"weight\": 14659, \"source\": 5, \"target\": 8}, {\"weight\": 16582, \"source\": 5, \"target\": 6}, {\"weight\": 14875, \"source\": 6, \"target\": 7}, {\"weight\": 12873, \"source\": 6, \"target\": 8}, {\"weight\": 4355, \"source\": 7, \"target\": 8}]}",
"id": 1835,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NCL, CFU, YSJ, OAJ, STZ, NAN, VAN, CCP, TNW\n- Travel distances (in kilometers) between each pair of airports:\nNCL to CFU: 2348\nNCL to CCP: 12773\nNCL to OAJ: 6159\nNCL to NAN: 16878\nNCL to YSJ: 5181\nNCL to TNW: 9702\nNCL to VAN: 3966\nNCL to STZ: 10307\nCFU to CCP: 13168\nCFU to OAJ: 8366\nCFU to NAN: 16826\nCFU to YSJ: 6840\nCFU to TNW: 10913\nCFU to VAN: 2048\nCFU to STZ: 10764\nYSJ to CCP: 9364\nYSJ to OAJ: 1846\nYSJ to NAN: 13475\nYSJ to TNW: 5647\nYSJ to VAN: 8532\nYSJ to STZ: 9056\nOAJ to CCP: 8440\nOAJ to NAN: 12608\nOAJ to TNW: 4388\nOAJ to VAN: 10078\nOAJ to STZ: 8276\nSTZ to CCP: 5009\nSTZ to NAN: 16389\nSTZ to TNW: 6429\nSTZ to VAN: 12642\nNAN to CCP: 12236\nNAN to TNW: 14659\nNAN to VAN: 16582\nVAN to CCP: 14875\nVAN to TNW: 12873\nCCP to TNW: 4355\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, LSA, RFD, BHV, AUC, MVY, DIE, PRN, PZH\n- Travel distances (in kilometers) between each pair of airports:\nYBG to PRN: 7060\nYBG to MVY: 900\nYBG to AUC: 5346\nYBG to LSA: 16833\nYBG to RFD: 4004\nYBG to BHV: 11866\nYBG to DIE: 13971\nYBG to PZH: 11628\nLSA to PRN: 14299\nLSA to MVY: 16519\nLSA to AUC: 18909\nLSA to RFD: 15567\nLSA to BHV: 10146\nLSA to DIE: 12117\nLSA to PZH: 10564\nRFD to PRN: 10535\nRFD to MVY: 3448\nRFD to AUC: 4888\nRFD to BHV: 14843\nRFD to DIE: 17237\nRFD to PZH: 14665\nBHV to PRN: 5112\nBHV to MVY: 11548\nBHV to AUC: 15503\nBHV to DIE: 6924\nBHV to PZH: 1030\nAUC to PRN: 10644\nAUC to MVY: 4836\nAUC to DIE: 15110\nAUC to PZH: 15132\nMVY to PRN: 7241\nMVY to DIE: 14152\nMVY to PZH: 11358\nDIE to PRN: 7409\nDIE to PZH: 6772\nPRN to PZH: 4598\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57920,
"style": "rule"
}
|
{
"exact_answer": 57920,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBG\", \"id\": 0}, {\"name\": \"LSA\", \"id\": 1}, {\"name\": \"RFD\", \"id\": 2}, {\"name\": \"BHV\", \"id\": 3}, {\"name\": \"AUC\", \"id\": 4}, {\"name\": \"MVY\", \"id\": 5}, {\"name\": \"DIE\", \"id\": 6}, {\"name\": \"PRN\", \"id\": 7}, {\"name\": \"PZH\", \"id\": 8}], \"links\": [{\"weight\": 7060, \"source\": 0, \"target\": 7}, {\"weight\": 900, \"source\": 0, \"target\": 5}, {\"weight\": 5346, \"source\": 0, \"target\": 4}, {\"weight\": 16833, \"source\": 0, \"target\": 1}, {\"weight\": 4004, \"source\": 0, \"target\": 2}, {\"weight\": 11866, \"source\": 0, \"target\": 3}, {\"weight\": 13971, \"source\": 0, \"target\": 6}, {\"weight\": 11628, \"source\": 0, \"target\": 8}, {\"weight\": 14299, \"source\": 1, \"target\": 7}, {\"weight\": 16519, \"source\": 1, \"target\": 5}, {\"weight\": 18909, \"source\": 1, \"target\": 4}, {\"weight\": 15567, \"source\": 1, \"target\": 2}, {\"weight\": 10146, \"source\": 1, \"target\": 3}, {\"weight\": 12117, \"source\": 1, \"target\": 6}, {\"weight\": 10564, \"source\": 1, \"target\": 8}, {\"weight\": 10535, \"source\": 2, \"target\": 7}, {\"weight\": 3448, \"source\": 2, \"target\": 5}, {\"weight\": 4888, \"source\": 2, \"target\": 4}, {\"weight\": 14843, \"source\": 2, \"target\": 3}, {\"weight\": 17237, \"source\": 2, \"target\": 6}, {\"weight\": 14665, \"source\": 2, \"target\": 8}, {\"weight\": 5112, \"source\": 3, \"target\": 7}, {\"weight\": 11548, \"source\": 3, \"target\": 5}, {\"weight\": 15503, \"source\": 3, \"target\": 4}, {\"weight\": 6924, \"source\": 3, \"target\": 6}, {\"weight\": 1030, \"source\": 3, \"target\": 8}, {\"weight\": 10644, \"source\": 4, \"target\": 7}, {\"weight\": 4836, \"source\": 4, \"target\": 5}, {\"weight\": 15110, \"source\": 4, \"target\": 6}, {\"weight\": 15132, \"source\": 4, \"target\": 8}, {\"weight\": 7241, \"source\": 5, \"target\": 7}, {\"weight\": 14152, \"source\": 5, \"target\": 6}, {\"weight\": 11358, \"source\": 5, \"target\": 8}, {\"weight\": 7409, \"source\": 6, \"target\": 7}, {\"weight\": 6772, \"source\": 6, \"target\": 8}, {\"weight\": 4598, \"source\": 7, \"target\": 8}]}",
"id": 1836,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, LSA, RFD, BHV, AUC, MVY, DIE, PRN, PZH\n- Travel distances (in kilometers) between each pair of airports:\nYBG to PRN: 7060\nYBG to MVY: 900\nYBG to AUC: 5346\nYBG to LSA: 16833\nYBG to RFD: 4004\nYBG to BHV: 11866\nYBG to DIE: 13971\nYBG to PZH: 11628\nLSA to PRN: 14299\nLSA to MVY: 16519\nLSA to AUC: 18909\nLSA to RFD: 15567\nLSA to BHV: 10146\nLSA to DIE: 12117\nLSA to PZH: 10564\nRFD to PRN: 10535\nRFD to MVY: 3448\nRFD to AUC: 4888\nRFD to BHV: 14843\nRFD to DIE: 17237\nRFD to PZH: 14665\nBHV to PRN: 5112\nBHV to MVY: 11548\nBHV to AUC: 15503\nBHV to DIE: 6924\nBHV to PZH: 1030\nAUC to PRN: 10644\nAUC to MVY: 4836\nAUC to DIE: 15110\nAUC to PZH: 15132\nMVY to PRN: 7241\nMVY to DIE: 14152\nMVY to PZH: 11358\nDIE to PRN: 7409\nDIE to PZH: 6772\nPRN to PZH: 4598\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKG, KAA, VRN, YQD, JST, YTL, LAM, LCA, RRS\n- Travel distances (in kilometers) between each pair of airports:\nLKG to LCA: 5164\nLKG to VRN: 7161\nLKG to YQD: 15500\nLKG to LAM: 17046\nLKG to KAA: 3137\nLKG to JST: 13821\nLKG to RRS: 8635\nLKG to YTL: 15270\nKAA to LCA: 6028\nKAA to VRN: 7991\nKAA to YQD: 15020\nKAA to LAM: 16409\nKAA to JST: 12978\nKAA to RRS: 9486\nKAA to YTL: 14622\nVRN to LCA: 2297\nVRN to YQD: 8609\nVRN to LAM: 10155\nVRN to JST: 7135\nVRN to RRS: 1914\nVRN to YTL: 8379\nYQD to LCA: 10828\nYQD to LAM: 3402\nYQD to JST: 2774\nYQD to RRS: 8240\nYQD to YTL: 1345\nJST to LCA: 9369\nJST to LAM: 3891\nJST to RRS: 6728\nJST to YTL: 2362\nYTL to LCA: 10592\nYTL to LAM: 3703\nYTL to RRS: 7828\nLAM to LCA: 12290\nLAM to RRS: 9390\nLCA to RRS: 3513\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41956,
"style": "rule"
}
|
{
"exact_answer": 41956,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LKG\", \"id\": 0}, {\"name\": \"KAA\", \"id\": 1}, {\"name\": \"VRN\", \"id\": 2}, {\"name\": \"YQD\", \"id\": 3}, {\"name\": \"JST\", \"id\": 4}, {\"name\": \"YTL\", \"id\": 5}, {\"name\": \"LAM\", \"id\": 6}, {\"name\": \"LCA\", \"id\": 7}, {\"name\": \"RRS\", \"id\": 8}], \"links\": [{\"weight\": 5164, \"source\": 0, \"target\": 7}, {\"weight\": 7161, \"source\": 0, \"target\": 2}, {\"weight\": 15500, \"source\": 0, \"target\": 3}, {\"weight\": 17046, \"source\": 0, \"target\": 6}, {\"weight\": 3137, \"source\": 0, \"target\": 1}, {\"weight\": 13821, \"source\": 0, \"target\": 4}, {\"weight\": 8635, \"source\": 0, \"target\": 8}, {\"weight\": 15270, \"source\": 0, \"target\": 5}, {\"weight\": 6028, \"source\": 1, \"target\": 7}, {\"weight\": 7991, \"source\": 1, \"target\": 2}, {\"weight\": 15020, \"source\": 1, \"target\": 3}, {\"weight\": 16409, \"source\": 1, \"target\": 6}, {\"weight\": 12978, \"source\": 1, \"target\": 4}, {\"weight\": 9486, \"source\": 1, \"target\": 8}, {\"weight\": 14622, \"source\": 1, \"target\": 5}, {\"weight\": 2297, \"source\": 2, \"target\": 7}, {\"weight\": 8609, \"source\": 2, \"target\": 3}, {\"weight\": 10155, \"source\": 2, \"target\": 6}, {\"weight\": 7135, \"source\": 2, \"target\": 4}, {\"weight\": 1914, \"source\": 2, \"target\": 8}, {\"weight\": 8379, \"source\": 2, \"target\": 5}, {\"weight\": 10828, \"source\": 3, \"target\": 7}, {\"weight\": 3402, \"source\": 3, \"target\": 6}, {\"weight\": 2774, \"source\": 3, \"target\": 4}, {\"weight\": 8240, \"source\": 3, \"target\": 8}, {\"weight\": 1345, \"source\": 3, \"target\": 5}, {\"weight\": 9369, \"source\": 4, \"target\": 7}, {\"weight\": 3891, \"source\": 4, \"target\": 6}, {\"weight\": 6728, \"source\": 4, \"target\": 8}, {\"weight\": 2362, \"source\": 4, \"target\": 5}, {\"weight\": 10592, \"source\": 5, \"target\": 7}, {\"weight\": 3703, \"source\": 5, \"target\": 6}, {\"weight\": 7828, \"source\": 5, \"target\": 8}, {\"weight\": 12290, \"source\": 6, \"target\": 7}, {\"weight\": 9390, \"source\": 6, \"target\": 8}, {\"weight\": 3513, \"source\": 7, \"target\": 8}]}",
"id": 1837,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LKG, KAA, VRN, YQD, JST, YTL, LAM, LCA, RRS\n- Travel distances (in kilometers) between each pair of airports:\nLKG to LCA: 5164\nLKG to VRN: 7161\nLKG to YQD: 15500\nLKG to LAM: 17046\nLKG to KAA: 3137\nLKG to JST: 13821\nLKG to RRS: 8635\nLKG to YTL: 15270\nKAA to LCA: 6028\nKAA to VRN: 7991\nKAA to YQD: 15020\nKAA to LAM: 16409\nKAA to JST: 12978\nKAA to RRS: 9486\nKAA to YTL: 14622\nVRN to LCA: 2297\nVRN to YQD: 8609\nVRN to LAM: 10155\nVRN to JST: 7135\nVRN to RRS: 1914\nVRN to YTL: 8379\nYQD to LCA: 10828\nYQD to LAM: 3402\nYQD to JST: 2774\nYQD to RRS: 8240\nYQD to YTL: 1345\nJST to LCA: 9369\nJST to LAM: 3891\nJST to RRS: 6728\nJST to YTL: 2362\nYTL to LCA: 10592\nYTL to LAM: 3703\nYTL to RRS: 7828\nLAM to LCA: 12290\nLAM to RRS: 9390\nLCA to RRS: 3513\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, JAN, JNZ, YSY, JSR, IPI, THE, SCO, BEN\n- Travel distances (in kilometers) between each pair of airports:\nYBG to JSR: 13509\nYBG to YSY: 4866\nYBG to BEN: 7898\nYBG to IPI: 5466\nYBG to JAN: 2526\nYBG to THE: 7074\nYBG to JNZ: 12526\nYBG to SCO: 9208\nJAN to JSR: 14681\nJAN to YSY: 5532\nJAN to BEN: 9785\nJAN to IPI: 4266\nJAN to THE: 6573\nJAN to JNZ: 12672\nJAN to SCO: 10830\nJNZ to JSR: 4036\nJNZ to YSY: 12262\nJNZ to BEN: 9408\nJNZ to IPI: 16529\nJNZ to THE: 16844\nJNZ to SCO: 6364\nYSY to JSR: 15070\nYSY to BEN: 11843\nYSY to IPI: 9357\nYSY to THE: 11093\nYSY to SCO: 12148\nJSR to BEN: 6998\nJSR to IPI: 17353\nJSR to THE: 15098\nJSR to SCO: 4749\nIPI to BEN: 10818\nIPI to THE: 4896\nIPI to SCO: 12965\nTHE to BEN: 8357\nTHE to SCO: 10907\nSCO to BEN: 3116\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49074,
"style": "rule"
}
|
{
"exact_answer": 49074,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YBG\", \"id\": 0}, {\"name\": \"JAN\", \"id\": 1}, {\"name\": \"JNZ\", \"id\": 2}, {\"name\": \"YSY\", \"id\": 3}, {\"name\": \"JSR\", \"id\": 4}, {\"name\": \"IPI\", \"id\": 5}, {\"name\": \"THE\", \"id\": 6}, {\"name\": \"SCO\", \"id\": 7}, {\"name\": \"BEN\", \"id\": 8}], \"links\": [{\"weight\": 13509, \"source\": 0, \"target\": 4}, {\"weight\": 4866, \"source\": 0, \"target\": 3}, {\"weight\": 7898, \"source\": 0, \"target\": 8}, {\"weight\": 5466, \"source\": 0, \"target\": 5}, {\"weight\": 2526, \"source\": 0, \"target\": 1}, {\"weight\": 7074, \"source\": 0, \"target\": 6}, {\"weight\": 12526, \"source\": 0, \"target\": 2}, {\"weight\": 9208, \"source\": 0, \"target\": 7}, {\"weight\": 14681, \"source\": 1, \"target\": 4}, {\"weight\": 5532, \"source\": 1, \"target\": 3}, {\"weight\": 9785, \"source\": 1, \"target\": 8}, {\"weight\": 4266, \"source\": 1, \"target\": 5}, {\"weight\": 6573, \"source\": 1, \"target\": 6}, {\"weight\": 12672, \"source\": 1, \"target\": 2}, {\"weight\": 10830, \"source\": 1, \"target\": 7}, {\"weight\": 4036, \"source\": 2, \"target\": 4}, {\"weight\": 12262, \"source\": 2, \"target\": 3}, {\"weight\": 9408, \"source\": 2, \"target\": 8}, {\"weight\": 16529, \"source\": 2, \"target\": 5}, {\"weight\": 16844, \"source\": 2, \"target\": 6}, {\"weight\": 6364, \"source\": 2, \"target\": 7}, {\"weight\": 15070, \"source\": 3, \"target\": 4}, {\"weight\": 11843, \"source\": 3, \"target\": 8}, {\"weight\": 9357, \"source\": 3, \"target\": 5}, {\"weight\": 11093, \"source\": 3, \"target\": 6}, {\"weight\": 12148, \"source\": 3, \"target\": 7}, {\"weight\": 6998, \"source\": 4, \"target\": 8}, {\"weight\": 17353, \"source\": 4, \"target\": 5}, {\"weight\": 15098, \"source\": 4, \"target\": 6}, {\"weight\": 4749, \"source\": 4, \"target\": 7}, {\"weight\": 10818, \"source\": 5, \"target\": 8}, {\"weight\": 4896, \"source\": 5, \"target\": 6}, {\"weight\": 12965, \"source\": 5, \"target\": 7}, {\"weight\": 8357, \"source\": 6, \"target\": 8}, {\"weight\": 10907, \"source\": 6, \"target\": 7}, {\"weight\": 3116, \"source\": 7, \"target\": 8}]}",
"id": 1838,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YBG, JAN, JNZ, YSY, JSR, IPI, THE, SCO, BEN\n- Travel distances (in kilometers) between each pair of airports:\nYBG to JSR: 13509\nYBG to YSY: 4866\nYBG to BEN: 7898\nYBG to IPI: 5466\nYBG to JAN: 2526\nYBG to THE: 7074\nYBG to JNZ: 12526\nYBG to SCO: 9208\nJAN to JSR: 14681\nJAN to YSY: 5532\nJAN to BEN: 9785\nJAN to IPI: 4266\nJAN to THE: 6573\nJAN to JNZ: 12672\nJAN to SCO: 10830\nJNZ to JSR: 4036\nJNZ to YSY: 12262\nJNZ to BEN: 9408\nJNZ to IPI: 16529\nJNZ to THE: 16844\nJNZ to SCO: 6364\nYSY to JSR: 15070\nYSY to BEN: 11843\nYSY to IPI: 9357\nYSY to THE: 11093\nYSY to SCO: 12148\nJSR to BEN: 6998\nJSR to IPI: 17353\nJSR to THE: 15098\nJSR to SCO: 4749\nIPI to BEN: 10818\nIPI to THE: 4896\nIPI to SCO: 12965\nTHE to BEN: 8357\nTHE to SCO: 10907\nSCO to BEN: 3116\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GDN, DME, DIL, VNX, KAL, JHM, YSO, MCO, GRW\n- Travel distances (in kilometers) between each pair of airports:\nGDN to DME: 1462\nGDN to MCO: 8084\nGDN to KAL: 11314\nGDN to DIL: 12381\nGDN to JHM: 12734\nGDN to YSO: 6035\nGDN to VNX: 9736\nGDN to GRW: 4048\nDME to MCO: 9060\nDME to KAL: 12179\nDME to DIL: 11028\nDME to JHM: 13284\nDME to YSO: 7273\nDME to VNX: 9657\nDME to GRW: 5291\nDIL to MCO: 18400\nDIL to KAL: 16546\nDIL to JHM: 11263\nDIL to YSO: 18238\nDIL to VNX: 12135\nDIL to GRW: 16094\nVNX to MCO: 15082\nVNX to KAL: 20318\nVNX to JHM: 20180\nVNX to YSO: 14655\nVNX to GRW: 10559\nKAL to MCO: 7091\nKAL to JHM: 5553\nKAL to YSO: 8088\nKAL to GRW: 10841\nJHM to MCO: 7716\nJHM to YSO: 9611\nJHM to GRW: 12353\nYSO to MCO: 3556\nYSO to GRW: 5908\nMCO to GRW: 5904\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60673,
"style": "rule"
}
|
{
"exact_answer": 60673,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"GDN\", \"id\": 0}, {\"name\": \"DME\", \"id\": 1}, {\"name\": \"DIL\", \"id\": 2}, {\"name\": \"VNX\", \"id\": 3}, {\"name\": \"KAL\", \"id\": 4}, {\"name\": \"JHM\", \"id\": 5}, {\"name\": \"YSO\", \"id\": 6}, {\"name\": \"MCO\", \"id\": 7}, {\"name\": \"GRW\", \"id\": 8}], \"links\": [{\"weight\": 1462, \"source\": 0, \"target\": 1}, {\"weight\": 8084, \"source\": 0, \"target\": 7}, {\"weight\": 11314, \"source\": 0, \"target\": 4}, {\"weight\": 12381, \"source\": 0, \"target\": 2}, {\"weight\": 12734, \"source\": 0, \"target\": 5}, {\"weight\": 6035, \"source\": 0, \"target\": 6}, {\"weight\": 9736, \"source\": 0, \"target\": 3}, {\"weight\": 4048, \"source\": 0, \"target\": 8}, {\"weight\": 9060, \"source\": 1, \"target\": 7}, {\"weight\": 12179, \"source\": 1, \"target\": 4}, {\"weight\": 11028, \"source\": 1, \"target\": 2}, {\"weight\": 13284, \"source\": 1, \"target\": 5}, {\"weight\": 7273, \"source\": 1, \"target\": 6}, {\"weight\": 9657, \"source\": 1, \"target\": 3}, {\"weight\": 5291, \"source\": 1, \"target\": 8}, {\"weight\": 18400, \"source\": 2, \"target\": 7}, {\"weight\": 16546, \"source\": 2, \"target\": 4}, {\"weight\": 11263, \"source\": 2, \"target\": 5}, {\"weight\": 18238, \"source\": 2, \"target\": 6}, {\"weight\": 12135, \"source\": 2, \"target\": 3}, {\"weight\": 16094, \"source\": 2, \"target\": 8}, {\"weight\": 15082, \"source\": 3, \"target\": 7}, {\"weight\": 20318, \"source\": 3, \"target\": 4}, {\"weight\": 20180, \"source\": 3, \"target\": 5}, {\"weight\": 14655, \"source\": 3, \"target\": 6}, {\"weight\": 10559, \"source\": 3, \"target\": 8}, {\"weight\": 7091, \"source\": 4, \"target\": 7}, {\"weight\": 5553, \"source\": 4, \"target\": 5}, {\"weight\": 8088, \"source\": 4, \"target\": 6}, {\"weight\": 10841, \"source\": 4, \"target\": 8}, {\"weight\": 7716, \"source\": 5, \"target\": 7}, {\"weight\": 9611, \"source\": 5, \"target\": 6}, {\"weight\": 12353, \"source\": 5, \"target\": 8}, {\"weight\": 3556, \"source\": 6, \"target\": 7}, {\"weight\": 5908, \"source\": 6, \"target\": 8}, {\"weight\": 5904, \"source\": 7, \"target\": 8}]}",
"id": 1839,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: GDN, DME, DIL, VNX, KAL, JHM, YSO, MCO, GRW\n- Travel distances (in kilometers) between each pair of airports:\nGDN to DME: 1462\nGDN to MCO: 8084\nGDN to KAL: 11314\nGDN to DIL: 12381\nGDN to JHM: 12734\nGDN to YSO: 6035\nGDN to VNX: 9736\nGDN to GRW: 4048\nDME to MCO: 9060\nDME to KAL: 12179\nDME to DIL: 11028\nDME to JHM: 13284\nDME to YSO: 7273\nDME to VNX: 9657\nDME to GRW: 5291\nDIL to MCO: 18400\nDIL to KAL: 16546\nDIL to JHM: 11263\nDIL to YSO: 18238\nDIL to VNX: 12135\nDIL to GRW: 16094\nVNX to MCO: 15082\nVNX to KAL: 20318\nVNX to JHM: 20180\nVNX to YSO: 14655\nVNX to GRW: 10559\nKAL to MCO: 7091\nKAL to JHM: 5553\nKAL to YSO: 8088\nKAL to GRW: 10841\nJHM to MCO: 7716\nJHM to YSO: 9611\nJHM to GRW: 12353\nYSO to MCO: 3556\nYSO to GRW: 5908\nMCO to GRW: 5904\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, KTS, WRE, SBW, BQB, KGL, KMI, YXE, HAC\n- Travel distances (in kilometers) between each pair of airports:\nTZA to KTS: 7787\nTZA to KGL: 14132\nTZA to YXE: 4334\nTZA to SBW: 16943\nTZA to KMI: 13165\nTZA to HAC: 12565\nTZA to WRE: 14143\nTZA to BQB: 18856\nKTS to KGL: 17612\nKTS to YXE: 4535\nKTS to SBW: 15650\nKTS to KMI: 11874\nKTS to HAC: 11274\nKTS to WRE: 12671\nKTS to BQB: 16801\nWRE to KGL: 15085\nWRE to YXE: 12706\nWRE to SBW: 8578\nWRE to KMI: 9741\nWRE to HAC: 9781\nWRE to BQB: 5679\nSBW to KGL: 9470\nSBW to YXE: 13202\nSBW to KMI: 4058\nSBW to HAC: 4955\nSBW to BQB: 4370\nBQB to KGL: 9808\nBQB to YXE: 16854\nBQB to KMI: 7850\nBQB to HAC: 8613\nKGL to YXE: 13909\nKGL to KMI: 11432\nKGL to HAC: 12234\nKMI to YXE: 9400\nKMI to HAC: 1142\nYXE to HAC: 9033\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63155,
"style": "rule"
}
|
{
"exact_answer": 63155,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TZA\", \"id\": 0}, {\"name\": \"KTS\", \"id\": 1}, {\"name\": \"WRE\", \"id\": 2}, {\"name\": \"SBW\", \"id\": 3}, {\"name\": \"BQB\", \"id\": 4}, {\"name\": \"KGL\", \"id\": 5}, {\"name\": \"KMI\", \"id\": 6}, {\"name\": \"YXE\", \"id\": 7}, {\"name\": \"HAC\", \"id\": 8}], \"links\": [{\"weight\": 7787, \"source\": 0, \"target\": 1}, {\"weight\": 14132, \"source\": 0, \"target\": 5}, {\"weight\": 4334, \"source\": 0, \"target\": 7}, {\"weight\": 16943, \"source\": 0, \"target\": 3}, {\"weight\": 13165, \"source\": 0, \"target\": 6}, {\"weight\": 12565, \"source\": 0, \"target\": 8}, {\"weight\": 14143, \"source\": 0, \"target\": 2}, {\"weight\": 18856, \"source\": 0, \"target\": 4}, {\"weight\": 17612, \"source\": 1, \"target\": 5}, {\"weight\": 4535, \"source\": 1, \"target\": 7}, {\"weight\": 15650, \"source\": 1, \"target\": 3}, {\"weight\": 11874, \"source\": 1, \"target\": 6}, {\"weight\": 11274, \"source\": 1, \"target\": 8}, {\"weight\": 12671, \"source\": 1, \"target\": 2}, {\"weight\": 16801, \"source\": 1, \"target\": 4}, {\"weight\": 15085, \"source\": 2, \"target\": 5}, {\"weight\": 12706, \"source\": 2, \"target\": 7}, {\"weight\": 8578, \"source\": 2, \"target\": 3}, {\"weight\": 9741, \"source\": 2, \"target\": 6}, {\"weight\": 9781, \"source\": 2, \"target\": 8}, {\"weight\": 5679, \"source\": 2, \"target\": 4}, {\"weight\": 9470, \"source\": 3, \"target\": 5}, {\"weight\": 13202, \"source\": 3, \"target\": 7}, {\"weight\": 4058, \"source\": 3, \"target\": 6}, {\"weight\": 4955, \"source\": 3, \"target\": 8}, {\"weight\": 4370, \"source\": 3, \"target\": 4}, {\"weight\": 9808, \"source\": 4, \"target\": 5}, {\"weight\": 16854, \"source\": 4, \"target\": 7}, {\"weight\": 7850, \"source\": 4, \"target\": 6}, {\"weight\": 8613, \"source\": 4, \"target\": 8}, {\"weight\": 13909, \"source\": 5, \"target\": 7}, {\"weight\": 11432, \"source\": 5, \"target\": 6}, {\"weight\": 12234, \"source\": 5, \"target\": 8}, {\"weight\": 9400, \"source\": 6, \"target\": 7}, {\"weight\": 1142, \"source\": 6, \"target\": 8}, {\"weight\": 9033, \"source\": 7, \"target\": 8}]}",
"id": 1840,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TZA, KTS, WRE, SBW, BQB, KGL, KMI, YXE, HAC\n- Travel distances (in kilometers) between each pair of airports:\nTZA to KTS: 7787\nTZA to KGL: 14132\nTZA to YXE: 4334\nTZA to SBW: 16943\nTZA to KMI: 13165\nTZA to HAC: 12565\nTZA to WRE: 14143\nTZA to BQB: 18856\nKTS to KGL: 17612\nKTS to YXE: 4535\nKTS to SBW: 15650\nKTS to KMI: 11874\nKTS to HAC: 11274\nKTS to WRE: 12671\nKTS to BQB: 16801\nWRE to KGL: 15085\nWRE to YXE: 12706\nWRE to SBW: 8578\nWRE to KMI: 9741\nWRE to HAC: 9781\nWRE to BQB: 5679\nSBW to KGL: 9470\nSBW to YXE: 13202\nSBW to KMI: 4058\nSBW to HAC: 4955\nSBW to BQB: 4370\nBQB to KGL: 9808\nBQB to YXE: 16854\nBQB to KMI: 7850\nBQB to HAC: 8613\nKGL to YXE: 13909\nKGL to KMI: 11432\nKGL to HAC: 12234\nKMI to YXE: 9400\nKMI to HAC: 1142\nYXE to HAC: 9033\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IDA, POA, KGD, HYA, GET, GDX, BIO, NVI, DHB\n- Travel distances (in kilometers) between each pair of airports:\nIDA to KGD: 9376\nIDA to NVI: 12457\nIDA to BIO: 9158\nIDA to POA: 10265\nIDA to HYA: 3637\nIDA to GDX: 12147\nIDA to DHB: 1564\nIDA to GET: 16643\nPOA to KGD: 11639\nPOA to NVI: 15068\nPOA to BIO: 9523\nPOA to HYA: 8740\nPOA to GDX: 18391\nPOA to DHB: 11312\nPOA to GET: 16981\nKGD to NVI: 3721\nKGD to BIO: 2124\nKGD to HYA: 6767\nKGD to GDX: 6784\nKGD to DHB: 8881\nKGD to GET: 13704\nHYA to NVI: 9967\nHYA to BIO: 5890\nHYA to GDX: 12704\nHYA to DHB: 4257\nHYA to GET: 19416\nGET to NVI: 10247\nGET to BIO: 14987\nGET to GDX: 11225\nGET to DHB: 15990\nGDX to NVI: 6065\nGDX to BIO: 8877\nGDX to DHB: 10901\nBIO to NVI: 5819\nBIO to DHB: 8737\nNVI to DHB: 11962\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61682,
"style": "rule"
}
|
{
"exact_answer": 61682,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IDA\", \"id\": 0}, {\"name\": \"POA\", \"id\": 1}, {\"name\": \"KGD\", \"id\": 2}, {\"name\": \"HYA\", \"id\": 3}, {\"name\": \"GET\", \"id\": 4}, {\"name\": \"GDX\", \"id\": 5}, {\"name\": \"BIO\", \"id\": 6}, {\"name\": \"NVI\", \"id\": 7}, {\"name\": \"DHB\", \"id\": 8}], \"links\": [{\"weight\": 9376, \"source\": 0, \"target\": 2}, {\"weight\": 12457, \"source\": 0, \"target\": 7}, {\"weight\": 9158, \"source\": 0, \"target\": 6}, {\"weight\": 10265, \"source\": 0, \"target\": 1}, {\"weight\": 3637, \"source\": 0, \"target\": 3}, {\"weight\": 12147, \"source\": 0, \"target\": 5}, {\"weight\": 1564, \"source\": 0, \"target\": 8}, {\"weight\": 16643, \"source\": 0, \"target\": 4}, {\"weight\": 11639, \"source\": 1, \"target\": 2}, {\"weight\": 15068, \"source\": 1, \"target\": 7}, {\"weight\": 9523, \"source\": 1, \"target\": 6}, {\"weight\": 8740, \"source\": 1, \"target\": 3}, {\"weight\": 18391, \"source\": 1, \"target\": 5}, {\"weight\": 11312, \"source\": 1, \"target\": 8}, {\"weight\": 16981, \"source\": 1, \"target\": 4}, {\"weight\": 3721, \"source\": 2, \"target\": 7}, {\"weight\": 2124, \"source\": 2, \"target\": 6}, {\"weight\": 6767, \"source\": 2, \"target\": 3}, {\"weight\": 6784, \"source\": 2, \"target\": 5}, {\"weight\": 8881, \"source\": 2, \"target\": 8}, {\"weight\": 13704, \"source\": 2, \"target\": 4}, {\"weight\": 9967, \"source\": 3, \"target\": 7}, {\"weight\": 5890, \"source\": 3, \"target\": 6}, {\"weight\": 12704, \"source\": 3, \"target\": 5}, {\"weight\": 4257, \"source\": 3, \"target\": 8}, {\"weight\": 19416, \"source\": 3, \"target\": 4}, {\"weight\": 10247, \"source\": 4, \"target\": 7}, {\"weight\": 14987, \"source\": 4, \"target\": 6}, {\"weight\": 11225, \"source\": 4, \"target\": 5}, {\"weight\": 15990, \"source\": 4, \"target\": 8}, {\"weight\": 6065, \"source\": 5, \"target\": 7}, {\"weight\": 8877, \"source\": 5, \"target\": 6}, {\"weight\": 10901, \"source\": 5, \"target\": 8}, {\"weight\": 5819, \"source\": 6, \"target\": 7}, {\"weight\": 8737, \"source\": 6, \"target\": 8}, {\"weight\": 11962, \"source\": 7, \"target\": 8}]}",
"id": 1841,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IDA, POA, KGD, HYA, GET, GDX, BIO, NVI, DHB\n- Travel distances (in kilometers) between each pair of airports:\nIDA to KGD: 9376\nIDA to NVI: 12457\nIDA to BIO: 9158\nIDA to POA: 10265\nIDA to HYA: 3637\nIDA to GDX: 12147\nIDA to DHB: 1564\nIDA to GET: 16643\nPOA to KGD: 11639\nPOA to NVI: 15068\nPOA to BIO: 9523\nPOA to HYA: 8740\nPOA to GDX: 18391\nPOA to DHB: 11312\nPOA to GET: 16981\nKGD to NVI: 3721\nKGD to BIO: 2124\nKGD to HYA: 6767\nKGD to GDX: 6784\nKGD to DHB: 8881\nKGD to GET: 13704\nHYA to NVI: 9967\nHYA to BIO: 5890\nHYA to GDX: 12704\nHYA to DHB: 4257\nHYA to GET: 19416\nGET to NVI: 10247\nGET to BIO: 14987\nGET to GDX: 11225\nGET to DHB: 15990\nGDX to NVI: 6065\nGDX to BIO: 8877\nGDX to DHB: 10901\nBIO to NVI: 5819\nBIO to DHB: 8737\nNVI to DHB: 11962\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWU, KIT, BOY, VIJ, AGA, KSH, NQN, KYK, SIP\n- Travel distances (in kilometers) between each pair of airports:\nTWU to BOY: 13715\nTWU to KYK: 14907\nTWU to NQN: 18333\nTWU to VIJ: 17706\nTWU to KIT: 10431\nTWU to AGA: 13484\nTWU to KSH: 8235\nTWU to SIP: 9542\nKIT to BOY: 4766\nKIT to KYK: 12975\nKIT to NQN: 13358\nKIT to VIJ: 9277\nKIT to AGA: 3482\nKIT to KSH: 2532\nKIT to SIP: 2318\nBOY to KYK: 14416\nBOY to NQN: 9858\nBOY to VIJ: 9482\nBOY to AGA: 3128\nBOY to KSH: 6466\nBOY to SIP: 6159\nVIJ to KYK: 8558\nVIJ to NQN: 6829\nVIJ to AGA: 7411\nVIJ to KSH: 10991\nVIJ to SIP: 9641\nAGA to KYK: 12145\nAGA to NQN: 9976\nAGA to KSH: 5462\nAGA to SIP: 4649\nKSH to KYK: 14575\nKSH to NQN: 15024\nKSH to SIP: 3446\nNQN to KYK: 14116\nNQN to SIP: 14469\nKYK to SIP: 12728\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60761,
"style": "rule"
}
|
{
"exact_answer": 60761,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TWU\", \"id\": 0}, {\"name\": \"KIT\", \"id\": 1}, {\"name\": \"BOY\", \"id\": 2}, {\"name\": \"VIJ\", \"id\": 3}, {\"name\": \"AGA\", \"id\": 4}, {\"name\": \"KSH\", \"id\": 5}, {\"name\": \"NQN\", \"id\": 6}, {\"name\": \"KYK\", \"id\": 7}, {\"name\": \"SIP\", \"id\": 8}], \"links\": [{\"weight\": 13715, \"source\": 0, \"target\": 2}, {\"weight\": 14907, \"source\": 0, \"target\": 7}, {\"weight\": 18333, \"source\": 0, \"target\": 6}, {\"weight\": 17706, \"source\": 0, \"target\": 3}, {\"weight\": 10431, \"source\": 0, \"target\": 1}, {\"weight\": 13484, \"source\": 0, \"target\": 4}, {\"weight\": 8235, \"source\": 0, \"target\": 5}, {\"weight\": 9542, \"source\": 0, \"target\": 8}, {\"weight\": 4766, \"source\": 1, \"target\": 2}, {\"weight\": 12975, \"source\": 1, \"target\": 7}, {\"weight\": 13358, \"source\": 1, \"target\": 6}, {\"weight\": 9277, \"source\": 1, \"target\": 3}, {\"weight\": 3482, \"source\": 1, \"target\": 4}, {\"weight\": 2532, \"source\": 1, \"target\": 5}, {\"weight\": 2318, \"source\": 1, \"target\": 8}, {\"weight\": 14416, \"source\": 2, \"target\": 7}, {\"weight\": 9858, \"source\": 2, \"target\": 6}, {\"weight\": 9482, \"source\": 2, \"target\": 3}, {\"weight\": 3128, \"source\": 2, \"target\": 4}, {\"weight\": 6466, \"source\": 2, \"target\": 5}, {\"weight\": 6159, \"source\": 2, \"target\": 8}, {\"weight\": 8558, \"source\": 3, \"target\": 7}, {\"weight\": 6829, \"source\": 3, \"target\": 6}, {\"weight\": 7411, \"source\": 3, \"target\": 4}, {\"weight\": 10991, \"source\": 3, \"target\": 5}, {\"weight\": 9641, \"source\": 3, \"target\": 8}, {\"weight\": 12145, \"source\": 4, \"target\": 7}, {\"weight\": 9976, \"source\": 4, \"target\": 6}, {\"weight\": 5462, \"source\": 4, \"target\": 5}, {\"weight\": 4649, \"source\": 4, \"target\": 8}, {\"weight\": 14575, \"source\": 5, \"target\": 7}, {\"weight\": 15024, \"source\": 5, \"target\": 6}, {\"weight\": 3446, \"source\": 5, \"target\": 8}, {\"weight\": 14116, \"source\": 6, \"target\": 7}, {\"weight\": 14469, \"source\": 6, \"target\": 8}, {\"weight\": 12728, \"source\": 7, \"target\": 8}]}",
"id": 1842,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWU, KIT, BOY, VIJ, AGA, KSH, NQN, KYK, SIP\n- Travel distances (in kilometers) between each pair of airports:\nTWU to BOY: 13715\nTWU to KYK: 14907\nTWU to NQN: 18333\nTWU to VIJ: 17706\nTWU to KIT: 10431\nTWU to AGA: 13484\nTWU to KSH: 8235\nTWU to SIP: 9542\nKIT to BOY: 4766\nKIT to KYK: 12975\nKIT to NQN: 13358\nKIT to VIJ: 9277\nKIT to AGA: 3482\nKIT to KSH: 2532\nKIT to SIP: 2318\nBOY to KYK: 14416\nBOY to NQN: 9858\nBOY to VIJ: 9482\nBOY to AGA: 3128\nBOY to KSH: 6466\nBOY to SIP: 6159\nVIJ to KYK: 8558\nVIJ to NQN: 6829\nVIJ to AGA: 7411\nVIJ to KSH: 10991\nVIJ to SIP: 9641\nAGA to KYK: 12145\nAGA to NQN: 9976\nAGA to KSH: 5462\nAGA to SIP: 4649\nKSH to KYK: 14575\nKSH to NQN: 15024\nKSH to SIP: 3446\nNQN to KYK: 14116\nNQN to SIP: 14469\nKYK to SIP: 12728\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, COU, ACR, WRG, CDJ, GRP, AOK, ESC, RBV\n- Travel distances (in kilometers) between each pair of airports:\nERI to ACR: 4935\nERI to AOK: 8963\nERI to COU: 1144\nERI to WRG: 4576\nERI to ESC: 753\nERI to RBV: 14723\nERI to CDJ: 6719\nERI to GRP: 7973\nCOU to ACR: 5327\nCOU to AOK: 9675\nCOU to WRG: 4491\nCOU to ESC: 1373\nCOU to RBV: 14055\nCOU to CDJ: 7600\nCOU to GRP: 8693\nACR to AOK: 11412\nACR to WRG: 8428\nACR to ESC: 5375\nACR to RBV: 17490\nACR to CDJ: 4957\nACR to GRP: 6004\nWRG to AOK: 11632\nWRG to ESC: 4805\nWRG to RBV: 13030\nWRG to CDJ: 10991\nWRG to GRP: 11893\nCDJ to AOK: 10299\nCDJ to ESC: 7359\nCDJ to RBV: 18506\nCDJ to GRP: 2050\nGRP to AOK: 10765\nGRP to ESC: 8613\nGRP to RBV: 17422\nAOK to ESC: 9358\nAOK to RBV: 15730\nESC to RBV: 14952\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58084,
"style": "rule"
}
|
{
"exact_answer": 58084,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERI\", \"id\": 0}, {\"name\": \"COU\", \"id\": 1}, {\"name\": \"ACR\", \"id\": 2}, {\"name\": \"WRG\", \"id\": 3}, {\"name\": \"CDJ\", \"id\": 4}, {\"name\": \"GRP\", \"id\": 5}, {\"name\": \"AOK\", \"id\": 6}, {\"name\": \"ESC\", \"id\": 7}, {\"name\": \"RBV\", \"id\": 8}], \"links\": [{\"weight\": 4935, \"source\": 0, \"target\": 2}, {\"weight\": 8963, \"source\": 0, \"target\": 6}, {\"weight\": 1144, \"source\": 0, \"target\": 1}, {\"weight\": 4576, \"source\": 0, \"target\": 3}, {\"weight\": 753, \"source\": 0, \"target\": 7}, {\"weight\": 14723, \"source\": 0, \"target\": 8}, {\"weight\": 6719, \"source\": 0, \"target\": 4}, {\"weight\": 7973, \"source\": 0, \"target\": 5}, {\"weight\": 5327, \"source\": 1, \"target\": 2}, {\"weight\": 9675, \"source\": 1, \"target\": 6}, {\"weight\": 4491, \"source\": 1, \"target\": 3}, {\"weight\": 1373, \"source\": 1, \"target\": 7}, {\"weight\": 14055, \"source\": 1, \"target\": 8}, {\"weight\": 7600, \"source\": 1, \"target\": 4}, {\"weight\": 8693, \"source\": 1, \"target\": 5}, {\"weight\": 11412, \"source\": 2, \"target\": 6}, {\"weight\": 8428, \"source\": 2, \"target\": 3}, {\"weight\": 5375, \"source\": 2, \"target\": 7}, {\"weight\": 17490, \"source\": 2, \"target\": 8}, {\"weight\": 4957, \"source\": 2, \"target\": 4}, {\"weight\": 6004, \"source\": 2, \"target\": 5}, {\"weight\": 11632, \"source\": 3, \"target\": 6}, {\"weight\": 4805, \"source\": 3, \"target\": 7}, {\"weight\": 13030, \"source\": 3, \"target\": 8}, {\"weight\": 10991, \"source\": 3, \"target\": 4}, {\"weight\": 11893, \"source\": 3, \"target\": 5}, {\"weight\": 10299, \"source\": 4, \"target\": 6}, {\"weight\": 7359, \"source\": 4, \"target\": 7}, {\"weight\": 18506, \"source\": 4, \"target\": 8}, {\"weight\": 2050, \"source\": 4, \"target\": 5}, {\"weight\": 10765, \"source\": 5, \"target\": 6}, {\"weight\": 8613, \"source\": 5, \"target\": 7}, {\"weight\": 17422, \"source\": 5, \"target\": 8}, {\"weight\": 9358, \"source\": 6, \"target\": 7}, {\"weight\": 15730, \"source\": 6, \"target\": 8}, {\"weight\": 14952, \"source\": 7, \"target\": 8}]}",
"id": 1843,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, COU, ACR, WRG, CDJ, GRP, AOK, ESC, RBV\n- Travel distances (in kilometers) between each pair of airports:\nERI to ACR: 4935\nERI to AOK: 8963\nERI to COU: 1144\nERI to WRG: 4576\nERI to ESC: 753\nERI to RBV: 14723\nERI to CDJ: 6719\nERI to GRP: 7973\nCOU to ACR: 5327\nCOU to AOK: 9675\nCOU to WRG: 4491\nCOU to ESC: 1373\nCOU to RBV: 14055\nCOU to CDJ: 7600\nCOU to GRP: 8693\nACR to AOK: 11412\nACR to WRG: 8428\nACR to ESC: 5375\nACR to RBV: 17490\nACR to CDJ: 4957\nACR to GRP: 6004\nWRG to AOK: 11632\nWRG to ESC: 4805\nWRG to RBV: 13030\nWRG to CDJ: 10991\nWRG to GRP: 11893\nCDJ to AOK: 10299\nCDJ to ESC: 7359\nCDJ to RBV: 18506\nCDJ to GRP: 2050\nGRP to AOK: 10765\nGRP to ESC: 8613\nGRP to RBV: 17422\nAOK to ESC: 9358\nAOK to RBV: 15730\nESC to RBV: 14952\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ALH, KDH, GAE, OAJ, ULP, VIL, AZO, YQR, YIW\n- Travel distances (in kilometers) between each pair of airports:\nALH to AZO: 18512\nALH to OAJ: 19154\nALH to YQR: 17171\nALH to VIL: 16783\nALH to YIW: 7341\nALH to KDH: 9520\nALH to ULP: 4870\nALH to GAE: 14143\nKDH to AZO: 11921\nKDH to OAJ: 12172\nKDH to YQR: 12837\nKDH to VIL: 8147\nKDH to YIW: 5329\nKDH to ULP: 11055\nKDH to GAE: 5495\nGAE to AZO: 8130\nGAE to OAJ: 8129\nGAE to YQR: 9449\nGAE to VIL: 3339\nGAE to YIW: 10008\nGAE to ULP: 16369\nOAJ to AZO: 1282\nOAJ to YQR: 2856\nOAJ to VIL: 6935\nOAJ to YIW: 12822\nOAJ to ULP: 16060\nULP to AZO: 15418\nULP to YQR: 14125\nULP to VIL: 19037\nULP to YIW: 7334\nVIL to AZO: 7037\nVIL to YQR: 8540\nVIL to YIW: 12610\nAZO to YQR: 1738\nAZO to YIW: 11991\nYQR to YIW: 10735\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50454,
"style": "rule"
}
|
{
"exact_answer": 50454,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ALH\", \"id\": 0}, {\"name\": \"KDH\", \"id\": 1}, {\"name\": \"GAE\", \"id\": 2}, {\"name\": \"OAJ\", \"id\": 3}, {\"name\": \"ULP\", \"id\": 4}, {\"name\": \"VIL\", \"id\": 5}, {\"name\": \"AZO\", \"id\": 6}, {\"name\": \"YQR\", \"id\": 7}, {\"name\": \"YIW\", \"id\": 8}], \"links\": [{\"weight\": 18512, \"source\": 0, \"target\": 6}, {\"weight\": 19154, \"source\": 0, \"target\": 3}, {\"weight\": 17171, \"source\": 0, \"target\": 7}, {\"weight\": 16783, \"source\": 0, \"target\": 5}, {\"weight\": 7341, \"source\": 0, \"target\": 8}, {\"weight\": 9520, \"source\": 0, \"target\": 1}, {\"weight\": 4870, \"source\": 0, \"target\": 4}, {\"weight\": 14143, \"source\": 0, \"target\": 2}, {\"weight\": 11921, \"source\": 1, \"target\": 6}, {\"weight\": 12172, \"source\": 1, \"target\": 3}, {\"weight\": 12837, \"source\": 1, \"target\": 7}, {\"weight\": 8147, \"source\": 1, \"target\": 5}, {\"weight\": 5329, \"source\": 1, \"target\": 8}, {\"weight\": 11055, \"source\": 1, \"target\": 4}, {\"weight\": 5495, \"source\": 1, \"target\": 2}, {\"weight\": 8130, \"source\": 2, \"target\": 6}, {\"weight\": 8129, \"source\": 2, \"target\": 3}, {\"weight\": 9449, \"source\": 2, \"target\": 7}, {\"weight\": 3339, \"source\": 2, \"target\": 5}, {\"weight\": 10008, \"source\": 2, \"target\": 8}, {\"weight\": 16369, \"source\": 2, \"target\": 4}, {\"weight\": 1282, \"source\": 3, \"target\": 6}, {\"weight\": 2856, \"source\": 3, \"target\": 7}, {\"weight\": 6935, \"source\": 3, \"target\": 5}, {\"weight\": 12822, \"source\": 3, \"target\": 8}, {\"weight\": 16060, \"source\": 3, \"target\": 4}, {\"weight\": 15418, \"source\": 4, \"target\": 6}, {\"weight\": 14125, \"source\": 4, \"target\": 7}, {\"weight\": 19037, \"source\": 4, \"target\": 5}, {\"weight\": 7334, \"source\": 4, \"target\": 8}, {\"weight\": 7037, \"source\": 5, \"target\": 6}, {\"weight\": 8540, \"source\": 5, \"target\": 7}, {\"weight\": 12610, \"source\": 5, \"target\": 8}, {\"weight\": 1738, \"source\": 6, \"target\": 7}, {\"weight\": 11991, \"source\": 6, \"target\": 8}, {\"weight\": 10735, \"source\": 7, \"target\": 8}]}",
"id": 1844,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ALH, KDH, GAE, OAJ, ULP, VIL, AZO, YQR, YIW\n- Travel distances (in kilometers) between each pair of airports:\nALH to AZO: 18512\nALH to OAJ: 19154\nALH to YQR: 17171\nALH to VIL: 16783\nALH to YIW: 7341\nALH to KDH: 9520\nALH to ULP: 4870\nALH to GAE: 14143\nKDH to AZO: 11921\nKDH to OAJ: 12172\nKDH to YQR: 12837\nKDH to VIL: 8147\nKDH to YIW: 5329\nKDH to ULP: 11055\nKDH to GAE: 5495\nGAE to AZO: 8130\nGAE to OAJ: 8129\nGAE to YQR: 9449\nGAE to VIL: 3339\nGAE to YIW: 10008\nGAE to ULP: 16369\nOAJ to AZO: 1282\nOAJ to YQR: 2856\nOAJ to VIL: 6935\nOAJ to YIW: 12822\nOAJ to ULP: 16060\nULP to AZO: 15418\nULP to YQR: 14125\nULP to VIL: 19037\nULP to YIW: 7334\nVIL to AZO: 7037\nVIL to YQR: 8540\nVIL to YIW: 12610\nAZO to YQR: 1738\nAZO to YIW: 11991\nYQR to YIW: 10735\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, RXS, ISG, JMK, IAS, BHB, GGT, ESU, HGA\n- Travel distances (in kilometers) between each pair of airports:\nERI to RXS: 13898\nERI to GGT: 2258\nERI to JMK: 8694\nERI to BHB: 1245\nERI to ESU: 8640\nERI to IAS: 8232\nERI to HGA: 12305\nERI to ISG: 12469\nRXS to GGT: 15822\nRXS to JMK: 10214\nRXS to BHB: 14500\nRXS to ESU: 13116\nRXS to IAS: 10290\nRXS to HGA: 9051\nRXS to ISG: 1858\nISG to GGT: 14413\nISG to JMK: 9405\nISG to BHB: 13091\nISG to ESU: 12172\nISG to IAS: 9481\nISG to HGA: 8772\nJMK to GGT: 9757\nJMK to BHB: 8092\nJMK to ESU: 3694\nJMK to IAS: 1207\nJMK to HGA: 3912\nIAS to GGT: 9311\nIAS to BHB: 7622\nIAS to ESU: 3729\nIAS to HGA: 4518\nBHB to GGT: 2559\nBHB to ESU: 8090\nBHB to HGA: 11690\nGGT to ESU: 9748\nGGT to HGA: 13393\nESU to HGA: 7289\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45133,
"style": "rule"
}
|
{
"exact_answer": 45133,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ERI\", \"id\": 0}, {\"name\": \"RXS\", \"id\": 1}, {\"name\": \"ISG\", \"id\": 2}, {\"name\": \"JMK\", \"id\": 3}, {\"name\": \"IAS\", \"id\": 4}, {\"name\": \"BHB\", \"id\": 5}, {\"name\": \"GGT\", \"id\": 6}, {\"name\": \"ESU\", \"id\": 7}, {\"name\": \"HGA\", \"id\": 8}], \"links\": [{\"weight\": 13898, \"source\": 0, \"target\": 1}, {\"weight\": 2258, \"source\": 0, \"target\": 6}, {\"weight\": 8694, \"source\": 0, \"target\": 3}, {\"weight\": 1245, \"source\": 0, \"target\": 5}, {\"weight\": 8640, \"source\": 0, \"target\": 7}, {\"weight\": 8232, \"source\": 0, \"target\": 4}, {\"weight\": 12305, \"source\": 0, \"target\": 8}, {\"weight\": 12469, \"source\": 0, \"target\": 2}, {\"weight\": 15822, \"source\": 1, \"target\": 6}, {\"weight\": 10214, \"source\": 1, \"target\": 3}, {\"weight\": 14500, \"source\": 1, \"target\": 5}, {\"weight\": 13116, \"source\": 1, \"target\": 7}, {\"weight\": 10290, \"source\": 1, \"target\": 4}, {\"weight\": 9051, \"source\": 1, \"target\": 8}, {\"weight\": 1858, \"source\": 1, \"target\": 2}, {\"weight\": 14413, \"source\": 2, \"target\": 6}, {\"weight\": 9405, \"source\": 2, \"target\": 3}, {\"weight\": 13091, \"source\": 2, \"target\": 5}, {\"weight\": 12172, \"source\": 2, \"target\": 7}, {\"weight\": 9481, \"source\": 2, \"target\": 4}, {\"weight\": 8772, \"source\": 2, \"target\": 8}, {\"weight\": 9757, \"source\": 3, \"target\": 6}, {\"weight\": 8092, \"source\": 3, \"target\": 5}, {\"weight\": 3694, \"source\": 3, \"target\": 7}, {\"weight\": 1207, \"source\": 3, \"target\": 4}, {\"weight\": 3912, \"source\": 3, \"target\": 8}, {\"weight\": 9311, \"source\": 4, \"target\": 6}, {\"weight\": 7622, \"source\": 4, \"target\": 5}, {\"weight\": 3729, \"source\": 4, \"target\": 7}, {\"weight\": 4518, \"source\": 4, \"target\": 8}, {\"weight\": 2559, \"source\": 5, \"target\": 6}, {\"weight\": 8090, \"source\": 5, \"target\": 7}, {\"weight\": 11690, \"source\": 5, \"target\": 8}, {\"weight\": 9748, \"source\": 6, \"target\": 7}, {\"weight\": 13393, \"source\": 6, \"target\": 8}, {\"weight\": 7289, \"source\": 7, \"target\": 8}]}",
"id": 1845,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ERI, RXS, ISG, JMK, IAS, BHB, GGT, ESU, HGA\n- Travel distances (in kilometers) between each pair of airports:\nERI to RXS: 13898\nERI to GGT: 2258\nERI to JMK: 8694\nERI to BHB: 1245\nERI to ESU: 8640\nERI to IAS: 8232\nERI to HGA: 12305\nERI to ISG: 12469\nRXS to GGT: 15822\nRXS to JMK: 10214\nRXS to BHB: 14500\nRXS to ESU: 13116\nRXS to IAS: 10290\nRXS to HGA: 9051\nRXS to ISG: 1858\nISG to GGT: 14413\nISG to JMK: 9405\nISG to BHB: 13091\nISG to ESU: 12172\nISG to IAS: 9481\nISG to HGA: 8772\nJMK to GGT: 9757\nJMK to BHB: 8092\nJMK to ESU: 3694\nJMK to IAS: 1207\nJMK to HGA: 3912\nIAS to GGT: 9311\nIAS to BHB: 7622\nIAS to ESU: 3729\nIAS to HGA: 4518\nBHB to GGT: 2559\nBHB to ESU: 8090\nBHB to HGA: 11690\nGGT to ESU: 9748\nGGT to HGA: 13393\nESU to HGA: 7289\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SIT, OIA, WNA, TRR, PRI, RRS, KUS, TUA, AEP\n- Travel distances (in kilometers) between each pair of airports:\nSIT to WNA: 1718\nSIT to AEP: 12595\nSIT to TUA: 8329\nSIT to KUS: 9298\nSIT to PRI: 16682\nSIT to OIA: 10999\nSIT to TRR: 15436\nSIT to RRS: 9240\nOIA to WNA: 12160\nOIA to AEP: 3858\nOIA to TUA: 5057\nOIA to KUS: 12174\nOIA to PRI: 13227\nOIA to TRR: 15995\nOIA to RRS: 10221\nWNA to AEP: 14132\nWNA to TUA: 9832\nWNA to KUS: 10889\nWNA to PRI: 18273\nWNA to TRR: 17027\nWNA to RRS: 10831\nTRR to AEP: 16105\nTRR to TUA: 18017\nTRR to KUS: 12203\nTRR to PRI: 3259\nTRR to RRS: 8685\nPRI to AEP: 12932\nPRI to TUA: 15692\nPRI to KUS: 12107\nPRI to RRS: 8739\nRRS to AEP: 12623\nRRS to TUA: 10679\nRRS to KUS: 4146\nKUS to AEP: 14984\nKUS to TUA: 10932\nTUA to AEP: 4634\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58657,
"style": "rule"
}
|
{
"exact_answer": 58657,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SIT\", \"id\": 0}, {\"name\": \"OIA\", \"id\": 1}, {\"name\": \"WNA\", \"id\": 2}, {\"name\": \"TRR\", \"id\": 3}, {\"name\": \"PRI\", \"id\": 4}, {\"name\": \"RRS\", \"id\": 5}, {\"name\": \"KUS\", \"id\": 6}, {\"name\": \"TUA\", \"id\": 7}, {\"name\": \"AEP\", \"id\": 8}], \"links\": [{\"weight\": 1718, \"source\": 0, \"target\": 2}, {\"weight\": 12595, \"source\": 0, \"target\": 8}, {\"weight\": 8329, \"source\": 0, \"target\": 7}, {\"weight\": 9298, \"source\": 0, \"target\": 6}, {\"weight\": 16682, \"source\": 0, \"target\": 4}, {\"weight\": 10999, \"source\": 0, \"target\": 1}, {\"weight\": 15436, \"source\": 0, \"target\": 3}, {\"weight\": 9240, \"source\": 0, \"target\": 5}, {\"weight\": 12160, \"source\": 1, \"target\": 2}, {\"weight\": 3858, \"source\": 1, \"target\": 8}, {\"weight\": 5057, \"source\": 1, \"target\": 7}, {\"weight\": 12174, \"source\": 1, \"target\": 6}, {\"weight\": 13227, \"source\": 1, \"target\": 4}, {\"weight\": 15995, \"source\": 1, \"target\": 3}, {\"weight\": 10221, \"source\": 1, \"target\": 5}, {\"weight\": 14132, \"source\": 2, \"target\": 8}, {\"weight\": 9832, \"source\": 2, \"target\": 7}, {\"weight\": 10889, \"source\": 2, \"target\": 6}, {\"weight\": 18273, \"source\": 2, \"target\": 4}, {\"weight\": 17027, \"source\": 2, \"target\": 3}, {\"weight\": 10831, \"source\": 2, \"target\": 5}, {\"weight\": 16105, \"source\": 3, \"target\": 8}, {\"weight\": 18017, \"source\": 3, \"target\": 7}, {\"weight\": 12203, \"source\": 3, \"target\": 6}, {\"weight\": 3259, \"source\": 3, \"target\": 4}, {\"weight\": 8685, \"source\": 3, \"target\": 5}, {\"weight\": 12932, \"source\": 4, \"target\": 8}, {\"weight\": 15692, \"source\": 4, \"target\": 7}, {\"weight\": 12107, \"source\": 4, \"target\": 6}, {\"weight\": 8739, \"source\": 4, \"target\": 5}, {\"weight\": 12623, \"source\": 5, \"target\": 8}, {\"weight\": 10679, \"source\": 5, \"target\": 7}, {\"weight\": 4146, \"source\": 5, \"target\": 6}, {\"weight\": 14984, \"source\": 6, \"target\": 8}, {\"weight\": 10932, \"source\": 6, \"target\": 7}, {\"weight\": 4634, \"source\": 7, \"target\": 8}]}",
"id": 1846,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SIT, OIA, WNA, TRR, PRI, RRS, KUS, TUA, AEP\n- Travel distances (in kilometers) between each pair of airports:\nSIT to WNA: 1718\nSIT to AEP: 12595\nSIT to TUA: 8329\nSIT to KUS: 9298\nSIT to PRI: 16682\nSIT to OIA: 10999\nSIT to TRR: 15436\nSIT to RRS: 9240\nOIA to WNA: 12160\nOIA to AEP: 3858\nOIA to TUA: 5057\nOIA to KUS: 12174\nOIA to PRI: 13227\nOIA to TRR: 15995\nOIA to RRS: 10221\nWNA to AEP: 14132\nWNA to TUA: 9832\nWNA to KUS: 10889\nWNA to PRI: 18273\nWNA to TRR: 17027\nWNA to RRS: 10831\nTRR to AEP: 16105\nTRR to TUA: 18017\nTRR to KUS: 12203\nTRR to PRI: 3259\nTRR to RRS: 8685\nPRI to AEP: 12932\nPRI to TUA: 15692\nPRI to KUS: 12107\nPRI to RRS: 8739\nRRS to AEP: 12623\nRRS to TUA: 10679\nRRS to KUS: 4146\nKUS to AEP: 14984\nKUS to TUA: 10932\nTUA to AEP: 4634\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, TYN, AUS, WNP, MMB, KND, MYT, HJJ, MUX\n- Travel distances (in kilometers) between each pair of airports:\nPAC to TYN: 15013\nPAC to WNP: 16909\nPAC to AUS: 3253\nPAC to HJJ: 16369\nPAC to KND: 14247\nPAC to MUX: 15643\nPAC to MMB: 14673\nPAC to MYT: 17912\nTYN to WNP: 2975\nTYN to AUS: 11948\nTYN to HJJ: 1492\nTYN to KND: 12321\nTYN to MUX: 4312\nTYN to MMB: 2769\nTYN to MYT: 2912\nAUS to WNP: 13813\nAUS to HJJ: 13218\nAUS to KND: 13683\nAUS to MUX: 13588\nAUS to MMB: 11520\nAUS to MYT: 14847\nWNP to HJJ: 2134\nWNP to KND: 13255\nWNP to MUX: 5877\nWNP to MMB: 4207\nWNP to MYT: 3782\nMMB to HJJ: 3690\nMMB to KND: 14827\nMMB to MUX: 6647\nMMB to MYT: 5503\nKND to HJJ: 12660\nKND to MUX: 8347\nKND to MYT: 11633\nMYT to HJJ: 2742\nMYT to MUX: 4028\nHJJ to MUX: 4735\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51572,
"style": "rule"
}
|
{
"exact_answer": 51572,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PAC\", \"id\": 0}, {\"name\": \"TYN\", \"id\": 1}, {\"name\": \"AUS\", \"id\": 2}, {\"name\": \"WNP\", \"id\": 3}, {\"name\": \"MMB\", \"id\": 4}, {\"name\": \"KND\", \"id\": 5}, {\"name\": \"MYT\", \"id\": 6}, {\"name\": \"HJJ\", \"id\": 7}, {\"name\": \"MUX\", \"id\": 8}], \"links\": [{\"weight\": 15013, \"source\": 0, \"target\": 1}, {\"weight\": 16909, \"source\": 0, \"target\": 3}, {\"weight\": 3253, \"source\": 0, \"target\": 2}, {\"weight\": 16369, \"source\": 0, \"target\": 7}, {\"weight\": 14247, \"source\": 0, \"target\": 5}, {\"weight\": 15643, \"source\": 0, \"target\": 8}, {\"weight\": 14673, \"source\": 0, \"target\": 4}, {\"weight\": 17912, \"source\": 0, \"target\": 6}, {\"weight\": 2975, \"source\": 1, \"target\": 3}, {\"weight\": 11948, \"source\": 1, \"target\": 2}, {\"weight\": 1492, \"source\": 1, \"target\": 7}, {\"weight\": 12321, \"source\": 1, \"target\": 5}, {\"weight\": 4312, \"source\": 1, \"target\": 8}, {\"weight\": 2769, \"source\": 1, \"target\": 4}, {\"weight\": 2912, \"source\": 1, \"target\": 6}, {\"weight\": 13813, \"source\": 2, \"target\": 3}, {\"weight\": 13218, \"source\": 2, \"target\": 7}, {\"weight\": 13683, \"source\": 2, \"target\": 5}, {\"weight\": 13588, \"source\": 2, \"target\": 8}, {\"weight\": 11520, \"source\": 2, \"target\": 4}, {\"weight\": 14847, \"source\": 2, \"target\": 6}, {\"weight\": 2134, \"source\": 3, \"target\": 7}, {\"weight\": 13255, \"source\": 3, \"target\": 5}, {\"weight\": 5877, \"source\": 3, \"target\": 8}, {\"weight\": 4207, \"source\": 3, \"target\": 4}, {\"weight\": 3782, \"source\": 3, \"target\": 6}, {\"weight\": 3690, \"source\": 4, \"target\": 7}, {\"weight\": 14827, \"source\": 4, \"target\": 5}, {\"weight\": 6647, \"source\": 4, \"target\": 8}, {\"weight\": 5503, \"source\": 4, \"target\": 6}, {\"weight\": 12660, \"source\": 5, \"target\": 7}, {\"weight\": 8347, \"source\": 5, \"target\": 8}, {\"weight\": 11633, \"source\": 5, \"target\": 6}, {\"weight\": 2742, \"source\": 6, \"target\": 7}, {\"weight\": 4028, \"source\": 6, \"target\": 8}, {\"weight\": 4735, \"source\": 7, \"target\": 8}]}",
"id": 1847,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PAC, TYN, AUS, WNP, MMB, KND, MYT, HJJ, MUX\n- Travel distances (in kilometers) between each pair of airports:\nPAC to TYN: 15013\nPAC to WNP: 16909\nPAC to AUS: 3253\nPAC to HJJ: 16369\nPAC to KND: 14247\nPAC to MUX: 15643\nPAC to MMB: 14673\nPAC to MYT: 17912\nTYN to WNP: 2975\nTYN to AUS: 11948\nTYN to HJJ: 1492\nTYN to KND: 12321\nTYN to MUX: 4312\nTYN to MMB: 2769\nTYN to MYT: 2912\nAUS to WNP: 13813\nAUS to HJJ: 13218\nAUS to KND: 13683\nAUS to MUX: 13588\nAUS to MMB: 11520\nAUS to MYT: 14847\nWNP to HJJ: 2134\nWNP to KND: 13255\nWNP to MUX: 5877\nWNP to MMB: 4207\nWNP to MYT: 3782\nMMB to HJJ: 3690\nMMB to KND: 14827\nMMB to MUX: 6647\nMMB to MYT: 5503\nKND to HJJ: 12660\nKND to MUX: 8347\nKND to MYT: 11633\nMYT to HJJ: 2742\nMYT to MUX: 4028\nHJJ to MUX: 4735\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CXR, CUL, BGF, TUF, NYU, TGI, BGR, MEB, BDB\n- Travel distances (in kilometers) between each pair of airports:\nCXR to CUL: 14494\nCXR to NYU: 2130\nCXR to BGR: 15034\nCXR to BGF: 11908\nCXR to TUF: 10700\nCXR to BDB: 7839\nCXR to MEB: 8039\nCXR to TGI: 20065\nCUL to NYU: 14532\nCUL to BGR: 4295\nCUL to BGF: 13618\nCUL to TUF: 9559\nCUL to BDB: 13298\nCUL to MEB: 14999\nCUL to TGI: 5617\nBGF to NYU: 11069\nBGF to BGR: 10850\nBGF to TUF: 6113\nBGF to BDB: 16528\nBGF to MEB: 16358\nBGF to TGI: 11856\nTUF to NYU: 9905\nTUF to BGR: 6535\nTUF to BDB: 17297\nTUF to MEB: 18179\nTUF to TGI: 10693\nNYU to BGR: 14759\nNYU to BDB: 8649\nNYU to MEB: 9457\nNYU to TGI: 19941\nTGI to BGR: 6892\nTGI to BDB: 15020\nTGI to MEB: 15586\nBGR to BDB: 16201\nBGR to MEB: 17902\nMEB to BDB: 2498\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61316,
"style": "rule"
}
|
{
"exact_answer": 61316,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CXR\", \"id\": 0}, {\"name\": \"CUL\", \"id\": 1}, {\"name\": \"BGF\", \"id\": 2}, {\"name\": \"TUF\", \"id\": 3}, {\"name\": \"NYU\", \"id\": 4}, {\"name\": \"TGI\", \"id\": 5}, {\"name\": \"BGR\", \"id\": 6}, {\"name\": \"MEB\", \"id\": 7}, {\"name\": \"BDB\", \"id\": 8}], \"links\": [{\"weight\": 14494, \"source\": 0, \"target\": 1}, {\"weight\": 2130, \"source\": 0, \"target\": 4}, {\"weight\": 15034, \"source\": 0, \"target\": 6}, {\"weight\": 11908, \"source\": 0, \"target\": 2}, {\"weight\": 10700, \"source\": 0, \"target\": 3}, {\"weight\": 7839, \"source\": 0, \"target\": 8}, {\"weight\": 8039, \"source\": 0, \"target\": 7}, {\"weight\": 20065, \"source\": 0, \"target\": 5}, {\"weight\": 14532, \"source\": 1, \"target\": 4}, {\"weight\": 4295, \"source\": 1, \"target\": 6}, {\"weight\": 13618, \"source\": 1, \"target\": 2}, {\"weight\": 9559, \"source\": 1, \"target\": 3}, {\"weight\": 13298, \"source\": 1, \"target\": 8}, {\"weight\": 14999, \"source\": 1, \"target\": 7}, {\"weight\": 5617, \"source\": 1, \"target\": 5}, {\"weight\": 11069, \"source\": 2, \"target\": 4}, {\"weight\": 10850, \"source\": 2, \"target\": 6}, {\"weight\": 6113, \"source\": 2, \"target\": 3}, {\"weight\": 16528, \"source\": 2, \"target\": 8}, {\"weight\": 16358, \"source\": 2, \"target\": 7}, {\"weight\": 11856, \"source\": 2, \"target\": 5}, {\"weight\": 9905, \"source\": 3, \"target\": 4}, {\"weight\": 6535, \"source\": 3, \"target\": 6}, {\"weight\": 17297, \"source\": 3, \"target\": 8}, {\"weight\": 18179, \"source\": 3, \"target\": 7}, {\"weight\": 10693, \"source\": 3, \"target\": 5}, {\"weight\": 14759, \"source\": 4, \"target\": 6}, {\"weight\": 8649, \"source\": 4, \"target\": 8}, {\"weight\": 9457, \"source\": 4, \"target\": 7}, {\"weight\": 19941, \"source\": 4, \"target\": 5}, {\"weight\": 6892, \"source\": 5, \"target\": 6}, {\"weight\": 15020, \"source\": 5, \"target\": 8}, {\"weight\": 15586, \"source\": 5, \"target\": 7}, {\"weight\": 16201, \"source\": 6, \"target\": 8}, {\"weight\": 17902, \"source\": 6, \"target\": 7}, {\"weight\": 2498, \"source\": 7, \"target\": 8}]}",
"id": 1848,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CXR, CUL, BGF, TUF, NYU, TGI, BGR, MEB, BDB\n- Travel distances (in kilometers) between each pair of airports:\nCXR to CUL: 14494\nCXR to NYU: 2130\nCXR to BGR: 15034\nCXR to BGF: 11908\nCXR to TUF: 10700\nCXR to BDB: 7839\nCXR to MEB: 8039\nCXR to TGI: 20065\nCUL to NYU: 14532\nCUL to BGR: 4295\nCUL to BGF: 13618\nCUL to TUF: 9559\nCUL to BDB: 13298\nCUL to MEB: 14999\nCUL to TGI: 5617\nBGF to NYU: 11069\nBGF to BGR: 10850\nBGF to TUF: 6113\nBGF to BDB: 16528\nBGF to MEB: 16358\nBGF to TGI: 11856\nTUF to NYU: 9905\nTUF to BGR: 6535\nTUF to BDB: 17297\nTUF to MEB: 18179\nTUF to TGI: 10693\nNYU to BGR: 14759\nNYU to BDB: 8649\nNYU to MEB: 9457\nNYU to TGI: 19941\nTGI to BGR: 6892\nTGI to BDB: 15020\nTGI to MEB: 15586\nBGR to BDB: 16201\nBGR to MEB: 17902\nMEB to BDB: 2498\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNP, LEI, IOT, SRG, NOZ, MUR, LAW, UNG, TBU\n- Travel distances (in kilometers) between each pair of airports:\nPNP to LAW: 14627\nPNP to LEI: 15903\nPNP to SRG: 4220\nPNP to UNG: 890\nPNP to TBU: 4396\nPNP to IOT: 17697\nPNP to MUR: 4941\nPNP to NOZ: 15403\nLEI to LAW: 8497\nLEI to SRG: 12591\nLEI to UNG: 16515\nLEI to TBU: 19218\nLEI to IOT: 5689\nLEI to MUR: 12340\nLEI to NOZ: 6745\nIOT to LAW: 8565\nIOT to SRG: 15088\nIOT to UNG: 18309\nIOT to TBU: 18299\nIOT to MUR: 14659\nIOT to NOZ: 8599\nSRG to LAW: 16512\nSRG to UNG: 4832\nSRG to TBU: 8338\nSRG to MUR: 1666\nSRG to NOZ: 12659\nNOZ to LAW: 12693\nNOZ to UNG: 16015\nNOZ to TBU: 18688\nNOZ to MUR: 12218\nMUR to LAW: 15007\nMUR to UNG: 5553\nMUR to TBU: 9059\nLAW to UNG: 15239\nLAW to TBU: 11967\nUNG to TBU: 5008\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56968,
"style": "rule"
}
|
{
"exact_answer": 56968,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PNP\", \"id\": 0}, {\"name\": \"LEI\", \"id\": 1}, {\"name\": \"IOT\", \"id\": 2}, {\"name\": \"SRG\", \"id\": 3}, {\"name\": \"NOZ\", \"id\": 4}, {\"name\": \"MUR\", \"id\": 5}, {\"name\": \"LAW\", \"id\": 6}, {\"name\": \"UNG\", \"id\": 7}, {\"name\": \"TBU\", \"id\": 8}], \"links\": [{\"weight\": 14627, \"source\": 0, \"target\": 6}, {\"weight\": 15903, \"source\": 0, \"target\": 1}, {\"weight\": 4220, \"source\": 0, \"target\": 3}, {\"weight\": 890, \"source\": 0, \"target\": 7}, {\"weight\": 4396, \"source\": 0, \"target\": 8}, {\"weight\": 17697, \"source\": 0, \"target\": 2}, {\"weight\": 4941, \"source\": 0, \"target\": 5}, {\"weight\": 15403, \"source\": 0, \"target\": 4}, {\"weight\": 8497, \"source\": 1, \"target\": 6}, {\"weight\": 12591, \"source\": 1, \"target\": 3}, {\"weight\": 16515, \"source\": 1, \"target\": 7}, {\"weight\": 19218, \"source\": 1, \"target\": 8}, {\"weight\": 5689, \"source\": 1, \"target\": 2}, {\"weight\": 12340, \"source\": 1, \"target\": 5}, {\"weight\": 6745, \"source\": 1, \"target\": 4}, {\"weight\": 8565, \"source\": 2, \"target\": 6}, {\"weight\": 15088, \"source\": 2, \"target\": 3}, {\"weight\": 18309, \"source\": 2, \"target\": 7}, {\"weight\": 18299, \"source\": 2, \"target\": 8}, {\"weight\": 14659, \"source\": 2, \"target\": 5}, {\"weight\": 8599, \"source\": 2, \"target\": 4}, {\"weight\": 16512, \"source\": 3, \"target\": 6}, {\"weight\": 4832, \"source\": 3, \"target\": 7}, {\"weight\": 8338, \"source\": 3, \"target\": 8}, {\"weight\": 1666, \"source\": 3, \"target\": 5}, {\"weight\": 12659, \"source\": 3, \"target\": 4}, {\"weight\": 12693, \"source\": 4, \"target\": 6}, {\"weight\": 16015, \"source\": 4, \"target\": 7}, {\"weight\": 18688, \"source\": 4, \"target\": 8}, {\"weight\": 12218, \"source\": 4, \"target\": 5}, {\"weight\": 15007, \"source\": 5, \"target\": 6}, {\"weight\": 5553, \"source\": 5, \"target\": 7}, {\"weight\": 9059, \"source\": 5, \"target\": 8}, {\"weight\": 15239, \"source\": 6, \"target\": 7}, {\"weight\": 11967, \"source\": 6, \"target\": 8}, {\"weight\": 5008, \"source\": 7, \"target\": 8}]}",
"id": 1849,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PNP, LEI, IOT, SRG, NOZ, MUR, LAW, UNG, TBU\n- Travel distances (in kilometers) between each pair of airports:\nPNP to LAW: 14627\nPNP to LEI: 15903\nPNP to SRG: 4220\nPNP to UNG: 890\nPNP to TBU: 4396\nPNP to IOT: 17697\nPNP to MUR: 4941\nPNP to NOZ: 15403\nLEI to LAW: 8497\nLEI to SRG: 12591\nLEI to UNG: 16515\nLEI to TBU: 19218\nLEI to IOT: 5689\nLEI to MUR: 12340\nLEI to NOZ: 6745\nIOT to LAW: 8565\nIOT to SRG: 15088\nIOT to UNG: 18309\nIOT to TBU: 18299\nIOT to MUR: 14659\nIOT to NOZ: 8599\nSRG to LAW: 16512\nSRG to UNG: 4832\nSRG to TBU: 8338\nSRG to MUR: 1666\nSRG to NOZ: 12659\nNOZ to LAW: 12693\nNOZ to UNG: 16015\nNOZ to TBU: 18688\nNOZ to MUR: 12218\nMUR to LAW: 15007\nMUR to UNG: 5553\nMUR to TBU: 9059\nLAW to UNG: 15239\nLAW to TBU: 11967\nUNG to TBU: 5008\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, ILR, MGM, HBA, GAE, CAH, RVT, BKY, VPY\n- Travel distances (in kilometers) between each pair of airports:\nHSV to MGM: 478\nHSV to BKY: 12955\nHSV to HBA: 15813\nHSV to RVT: 18383\nHSV to VPY: 15015\nHSV to GAE: 8661\nHSV to CAH: 15023\nHSV to ILR: 10458\nILR to MGM: 10452\nILR to BKY: 3649\nILR to HBA: 16411\nILR to RVT: 13539\nILR to VPY: 6061\nILR to GAE: 4592\nILR to CAH: 11458\nMGM to BKY: 12949\nMGM to HBA: 15844\nMGM to RVT: 18414\nMGM to VPY: 15009\nMGM to GAE: 8788\nMGM to CAH: 15413\nHBA to BKY: 15903\nHBA to RVT: 3762\nHBA to VPY: 12819\nHBA to GAE: 17013\nHBA to CAH: 7558\nGAE to BKY: 7464\nGAE to RVT: 14213\nGAE to VPY: 9505\nGAE to CAH: 10465\nCAH to BKY: 12093\nCAH to RVT: 5601\nCAH to VPY: 10856\nRVT to BKY: 13031\nRVT to VPY: 9947\nBKY to VPY: 5468\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58911,
"style": "rule"
}
|
{
"exact_answer": 58911,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HSV\", \"id\": 0}, {\"name\": \"ILR\", \"id\": 1}, {\"name\": \"MGM\", \"id\": 2}, {\"name\": \"HBA\", \"id\": 3}, {\"name\": \"GAE\", \"id\": 4}, {\"name\": \"CAH\", \"id\": 5}, {\"name\": \"RVT\", \"id\": 6}, {\"name\": \"BKY\", \"id\": 7}, {\"name\": \"VPY\", \"id\": 8}], \"links\": [{\"weight\": 478, \"source\": 0, \"target\": 2}, {\"weight\": 12955, \"source\": 0, \"target\": 7}, {\"weight\": 15813, \"source\": 0, \"target\": 3}, {\"weight\": 18383, \"source\": 0, \"target\": 6}, {\"weight\": 15015, \"source\": 0, \"target\": 8}, {\"weight\": 8661, \"source\": 0, \"target\": 4}, {\"weight\": 15023, \"source\": 0, \"target\": 5}, {\"weight\": 10458, \"source\": 0, \"target\": 1}, {\"weight\": 10452, \"source\": 1, \"target\": 2}, {\"weight\": 3649, \"source\": 1, \"target\": 7}, {\"weight\": 16411, \"source\": 1, \"target\": 3}, {\"weight\": 13539, \"source\": 1, \"target\": 6}, {\"weight\": 6061, \"source\": 1, \"target\": 8}, {\"weight\": 4592, \"source\": 1, \"target\": 4}, {\"weight\": 11458, \"source\": 1, \"target\": 5}, {\"weight\": 12949, \"source\": 2, \"target\": 7}, {\"weight\": 15844, \"source\": 2, \"target\": 3}, {\"weight\": 18414, \"source\": 2, \"target\": 6}, {\"weight\": 15009, \"source\": 2, \"target\": 8}, {\"weight\": 8788, \"source\": 2, \"target\": 4}, {\"weight\": 15413, \"source\": 2, \"target\": 5}, {\"weight\": 15903, \"source\": 3, \"target\": 7}, {\"weight\": 3762, \"source\": 3, \"target\": 6}, {\"weight\": 12819, \"source\": 3, \"target\": 8}, {\"weight\": 17013, \"source\": 3, \"target\": 4}, {\"weight\": 7558, \"source\": 3, \"target\": 5}, {\"weight\": 7464, \"source\": 4, \"target\": 7}, {\"weight\": 14213, \"source\": 4, \"target\": 6}, {\"weight\": 9505, \"source\": 4, \"target\": 8}, {\"weight\": 10465, \"source\": 4, \"target\": 5}, {\"weight\": 12093, \"source\": 5, \"target\": 7}, {\"weight\": 5601, \"source\": 5, \"target\": 6}, {\"weight\": 10856, \"source\": 5, \"target\": 8}, {\"weight\": 13031, \"source\": 6, \"target\": 7}, {\"weight\": 9947, \"source\": 6, \"target\": 8}, {\"weight\": 5468, \"source\": 7, \"target\": 8}]}",
"id": 1850,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HSV, ILR, MGM, HBA, GAE, CAH, RVT, BKY, VPY\n- Travel distances (in kilometers) between each pair of airports:\nHSV to MGM: 478\nHSV to BKY: 12955\nHSV to HBA: 15813\nHSV to RVT: 18383\nHSV to VPY: 15015\nHSV to GAE: 8661\nHSV to CAH: 15023\nHSV to ILR: 10458\nILR to MGM: 10452\nILR to BKY: 3649\nILR to HBA: 16411\nILR to RVT: 13539\nILR to VPY: 6061\nILR to GAE: 4592\nILR to CAH: 11458\nMGM to BKY: 12949\nMGM to HBA: 15844\nMGM to RVT: 18414\nMGM to VPY: 15009\nMGM to GAE: 8788\nMGM to CAH: 15413\nHBA to BKY: 15903\nHBA to RVT: 3762\nHBA to VPY: 12819\nHBA to GAE: 17013\nHBA to CAH: 7558\nGAE to BKY: 7464\nGAE to RVT: 14213\nGAE to VPY: 9505\nGAE to CAH: 10465\nCAH to BKY: 12093\nCAH to RVT: 5601\nCAH to VPY: 10856\nRVT to BKY: 13031\nRVT to VPY: 9947\nBKY to VPY: 5468\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LQM, FKQ, WNA, ZSA, SZB, OUL, HKB, GRX, GSP\n- Travel distances (in kilometers) between each pair of airports:\nLQM to WNA: 9998\nLQM to GSP: 4083\nLQM to ZSA: 3145\nLQM to OUL: 11302\nLQM to GRX: 9136\nLQM to SZB: 19776\nLQM to FKQ: 21691\nLQM to HKB: 9689\nFKQ to WNA: 17545\nFKQ to GSP: 17912\nFKQ to ZSA: 19412\nFKQ to OUL: 12960\nFKQ to GRX: 14823\nFKQ to SZB: 3634\nFKQ to HKB: 17180\nWNA to GSP: 6148\nWNA to ZSA: 7637\nWNA to OUL: 11629\nWNA to GRX: 12183\nWNA to SZB: 16081\nWNA to HKB: 1186\nZSA to GSP: 1608\nZSA to OUL: 9047\nZSA to GRX: 7829\nZSA to SZB: 17460\nZSA to HKB: 7521\nSZB to GSP: 15979\nSZB to OUL: 9483\nSZB to GRX: 11407\nSZB to HKB: 15683\nOUL to GSP: 7953\nOUL to GRX: 3666\nOUL to HKB: 11231\nHKB to GSP: 6032\nHKB to GRX: 11785\nGRX to GSP: 7102\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55186,
"style": "rule"
}
|
{
"exact_answer": 55186,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LQM\", \"id\": 0}, {\"name\": \"FKQ\", \"id\": 1}, {\"name\": \"WNA\", \"id\": 2}, {\"name\": \"ZSA\", \"id\": 3}, {\"name\": \"SZB\", \"id\": 4}, {\"name\": \"OUL\", \"id\": 5}, {\"name\": \"HKB\", \"id\": 6}, {\"name\": \"GRX\", \"id\": 7}, {\"name\": \"GSP\", \"id\": 8}], \"links\": [{\"weight\": 9998, \"source\": 0, \"target\": 2}, {\"weight\": 4083, \"source\": 0, \"target\": 8}, {\"weight\": 3145, \"source\": 0, \"target\": 3}, {\"weight\": 11302, \"source\": 0, \"target\": 5}, {\"weight\": 9136, \"source\": 0, \"target\": 7}, {\"weight\": 19776, \"source\": 0, \"target\": 4}, {\"weight\": 21691, \"source\": 0, \"target\": 1}, {\"weight\": 9689, \"source\": 0, \"target\": 6}, {\"weight\": 17545, \"source\": 1, \"target\": 2}, {\"weight\": 17912, \"source\": 1, \"target\": 8}, {\"weight\": 19412, \"source\": 1, \"target\": 3}, {\"weight\": 12960, \"source\": 1, \"target\": 5}, {\"weight\": 14823, \"source\": 1, \"target\": 7}, {\"weight\": 3634, \"source\": 1, \"target\": 4}, {\"weight\": 17180, \"source\": 1, \"target\": 6}, {\"weight\": 6148, \"source\": 2, \"target\": 8}, {\"weight\": 7637, \"source\": 2, \"target\": 3}, {\"weight\": 11629, \"source\": 2, \"target\": 5}, {\"weight\": 12183, \"source\": 2, \"target\": 7}, {\"weight\": 16081, \"source\": 2, \"target\": 4}, {\"weight\": 1186, \"source\": 2, \"target\": 6}, {\"weight\": 1608, \"source\": 3, \"target\": 8}, {\"weight\": 9047, \"source\": 3, \"target\": 5}, {\"weight\": 7829, \"source\": 3, \"target\": 7}, {\"weight\": 17460, \"source\": 3, \"target\": 4}, {\"weight\": 7521, \"source\": 3, \"target\": 6}, {\"weight\": 15979, \"source\": 4, \"target\": 8}, {\"weight\": 9483, \"source\": 4, \"target\": 5}, {\"weight\": 11407, \"source\": 4, \"target\": 7}, {\"weight\": 15683, \"source\": 4, \"target\": 6}, {\"weight\": 7953, \"source\": 5, \"target\": 8}, {\"weight\": 3666, \"source\": 5, \"target\": 7}, {\"weight\": 11231, \"source\": 5, \"target\": 6}, {\"weight\": 6032, \"source\": 6, \"target\": 8}, {\"weight\": 11785, \"source\": 6, \"target\": 7}, {\"weight\": 7102, \"source\": 7, \"target\": 8}]}",
"id": 1851,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LQM, FKQ, WNA, ZSA, SZB, OUL, HKB, GRX, GSP\n- Travel distances (in kilometers) between each pair of airports:\nLQM to WNA: 9998\nLQM to GSP: 4083\nLQM to ZSA: 3145\nLQM to OUL: 11302\nLQM to GRX: 9136\nLQM to SZB: 19776\nLQM to FKQ: 21691\nLQM to HKB: 9689\nFKQ to WNA: 17545\nFKQ to GSP: 17912\nFKQ to ZSA: 19412\nFKQ to OUL: 12960\nFKQ to GRX: 14823\nFKQ to SZB: 3634\nFKQ to HKB: 17180\nWNA to GSP: 6148\nWNA to ZSA: 7637\nWNA to OUL: 11629\nWNA to GRX: 12183\nWNA to SZB: 16081\nWNA to HKB: 1186\nZSA to GSP: 1608\nZSA to OUL: 9047\nZSA to GRX: 7829\nZSA to SZB: 17460\nZSA to HKB: 7521\nSZB to GSP: 15979\nSZB to OUL: 9483\nSZB to GRX: 11407\nSZB to HKB: 15683\nOUL to GSP: 7953\nOUL to GRX: 3666\nOUL to HKB: 11231\nHKB to GSP: 6032\nHKB to GRX: 11785\nGRX to GSP: 7102\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRS, ILG, CXJ, FTU, KBU, RKA, AXD, SZB, NSK\n- Travel distances (in kilometers) between each pair of airports:\nMRS to AXD: 2055\nMRS to CXJ: 9926\nMRS to ILG: 7563\nMRS to SZB: 10531\nMRS to KBU: 12429\nMRS to FTU: 8847\nMRS to NSK: 5283\nMRS to RKA: 16857\nILG to AXD: 9542\nILG to CXJ: 8729\nILG to SZB: 15868\nILG to KBU: 16469\nILG to FTU: 16410\nILG to NSK: 10761\nILG to RKA: 10967\nCXJ to AXD: 11649\nCXJ to SZB: 17242\nCXJ to KBU: 18755\nCXJ to FTU: 11082\nCXJ to NSK: 15124\nCXJ to RKA: 11437\nFTU to AXD: 7942\nFTU to SZB: 7764\nFTU to KBU: 9324\nFTU to NSK: 11404\nFTU to RKA: 17568\nKBU to AXD: 11124\nKBU to SZB: 1900\nKBU to NSK: 9260\nKBU to RKA: 12034\nRKA to AXD: 18608\nRKA to SZB: 13058\nRKA to NSK: 15660\nAXD to SZB: 9224\nAXD to NSK: 5437\nSZB to NSK: 7457\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67222,
"style": "rule"
}
|
{
"exact_answer": 67222,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MRS\", \"id\": 0}, {\"name\": \"ILG\", \"id\": 1}, {\"name\": \"CXJ\", \"id\": 2}, {\"name\": \"FTU\", \"id\": 3}, {\"name\": \"KBU\", \"id\": 4}, {\"name\": \"RKA\", \"id\": 5}, {\"name\": \"AXD\", \"id\": 6}, {\"name\": \"SZB\", \"id\": 7}, {\"name\": \"NSK\", \"id\": 8}], \"links\": [{\"weight\": 2055, \"source\": 0, \"target\": 6}, {\"weight\": 9926, \"source\": 0, \"target\": 2}, {\"weight\": 7563, \"source\": 0, \"target\": 1}, {\"weight\": 10531, \"source\": 0, \"target\": 7}, {\"weight\": 12429, \"source\": 0, \"target\": 4}, {\"weight\": 8847, \"source\": 0, \"target\": 3}, {\"weight\": 5283, \"source\": 0, \"target\": 8}, {\"weight\": 16857, \"source\": 0, \"target\": 5}, {\"weight\": 9542, \"source\": 1, \"target\": 6}, {\"weight\": 8729, \"source\": 1, \"target\": 2}, {\"weight\": 15868, \"source\": 1, \"target\": 7}, {\"weight\": 16469, \"source\": 1, \"target\": 4}, {\"weight\": 16410, \"source\": 1, \"target\": 3}, {\"weight\": 10761, \"source\": 1, \"target\": 8}, {\"weight\": 10967, \"source\": 1, \"target\": 5}, {\"weight\": 11649, \"source\": 2, \"target\": 6}, {\"weight\": 17242, \"source\": 2, \"target\": 7}, {\"weight\": 18755, \"source\": 2, \"target\": 4}, {\"weight\": 11082, \"source\": 2, \"target\": 3}, {\"weight\": 15124, \"source\": 2, \"target\": 8}, {\"weight\": 11437, \"source\": 2, \"target\": 5}, {\"weight\": 7942, \"source\": 3, \"target\": 6}, {\"weight\": 7764, \"source\": 3, \"target\": 7}, {\"weight\": 9324, \"source\": 3, \"target\": 4}, {\"weight\": 11404, \"source\": 3, \"target\": 8}, {\"weight\": 17568, \"source\": 3, \"target\": 5}, {\"weight\": 11124, \"source\": 4, \"target\": 6}, {\"weight\": 1900, \"source\": 4, \"target\": 7}, {\"weight\": 9260, \"source\": 4, \"target\": 8}, {\"weight\": 12034, \"source\": 4, \"target\": 5}, {\"weight\": 18608, \"source\": 5, \"target\": 6}, {\"weight\": 13058, \"source\": 5, \"target\": 7}, {\"weight\": 15660, \"source\": 5, \"target\": 8}, {\"weight\": 9224, \"source\": 6, \"target\": 7}, {\"weight\": 5437, \"source\": 6, \"target\": 8}, {\"weight\": 7457, \"source\": 7, \"target\": 8}]}",
"id": 1852,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MRS, ILG, CXJ, FTU, KBU, RKA, AXD, SZB, NSK\n- Travel distances (in kilometers) between each pair of airports:\nMRS to AXD: 2055\nMRS to CXJ: 9926\nMRS to ILG: 7563\nMRS to SZB: 10531\nMRS to KBU: 12429\nMRS to FTU: 8847\nMRS to NSK: 5283\nMRS to RKA: 16857\nILG to AXD: 9542\nILG to CXJ: 8729\nILG to SZB: 15868\nILG to KBU: 16469\nILG to FTU: 16410\nILG to NSK: 10761\nILG to RKA: 10967\nCXJ to AXD: 11649\nCXJ to SZB: 17242\nCXJ to KBU: 18755\nCXJ to FTU: 11082\nCXJ to NSK: 15124\nCXJ to RKA: 11437\nFTU to AXD: 7942\nFTU to SZB: 7764\nFTU to KBU: 9324\nFTU to NSK: 11404\nFTU to RKA: 17568\nKBU to AXD: 11124\nKBU to SZB: 1900\nKBU to NSK: 9260\nKBU to RKA: 12034\nRKA to AXD: 18608\nRKA to SZB: 13058\nRKA to NSK: 15660\nAXD to SZB: 9224\nAXD to NSK: 5437\nSZB to NSK: 7457\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, SFJ, KEW, PTG, NRT, CIY, WUS, GOU, GRR\n- Travel distances (in kilometers) between each pair of airports:\nVVI to NRT: 16989\nVVI to GRR: 7132\nVVI to CIY: 10835\nVVI to WUS: 19045\nVVI to SFJ: 12793\nVVI to GOU: 9667\nVVI to PTG: 9569\nVVI to KEW: 8719\nSFJ to NRT: 11990\nSFJ to GRR: 6422\nSFJ to CIY: 5588\nSFJ to WUS: 11722\nSFJ to GOU: 8574\nSFJ to PTG: 12962\nSFJ to KEW: 7443\nKEW to NRT: 9634\nKEW to GRR: 1788\nKEW to CIY: 9245\nKEW to WUS: 11996\nKEW to GOU: 11918\nKEW to PTG: 15256\nPTG to NRT: 13917\nPTG to GRR: 14120\nPTG to CIY: 9272\nPTG to WUS: 11655\nPTG to GOU: 4903\nNRT to GRR: 10207\nNRT to CIY: 10447\nNRT to WUS: 2657\nNRT to GOU: 12729\nCIY to GRR: 8224\nCIY to WUS: 9892\nCIY to GOU: 5733\nWUS to GRR: 12162\nWUS to GOU: 10990\nGOU to GRR: 10897\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58726,
"style": "rule"
}
|
{
"exact_answer": 58726,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"VVI\", \"id\": 0}, {\"name\": \"SFJ\", \"id\": 1}, {\"name\": \"KEW\", \"id\": 2}, {\"name\": \"PTG\", \"id\": 3}, {\"name\": \"NRT\", \"id\": 4}, {\"name\": \"CIY\", \"id\": 5}, {\"name\": \"WUS\", \"id\": 6}, {\"name\": \"GOU\", \"id\": 7}, {\"name\": \"GRR\", \"id\": 8}], \"links\": [{\"weight\": 16989, \"source\": 0, \"target\": 4}, {\"weight\": 7132, \"source\": 0, \"target\": 8}, {\"weight\": 10835, \"source\": 0, \"target\": 5}, {\"weight\": 19045, \"source\": 0, \"target\": 6}, {\"weight\": 12793, \"source\": 0, \"target\": 1}, {\"weight\": 9667, \"source\": 0, \"target\": 7}, {\"weight\": 9569, \"source\": 0, \"target\": 3}, {\"weight\": 8719, \"source\": 0, \"target\": 2}, {\"weight\": 11990, \"source\": 1, \"target\": 4}, {\"weight\": 6422, \"source\": 1, \"target\": 8}, {\"weight\": 5588, \"source\": 1, \"target\": 5}, {\"weight\": 11722, \"source\": 1, \"target\": 6}, {\"weight\": 8574, \"source\": 1, \"target\": 7}, {\"weight\": 12962, \"source\": 1, \"target\": 3}, {\"weight\": 7443, \"source\": 1, \"target\": 2}, {\"weight\": 9634, \"source\": 2, \"target\": 4}, {\"weight\": 1788, \"source\": 2, \"target\": 8}, {\"weight\": 9245, \"source\": 2, \"target\": 5}, {\"weight\": 11996, \"source\": 2, \"target\": 6}, {\"weight\": 11918, \"source\": 2, \"target\": 7}, {\"weight\": 15256, \"source\": 2, \"target\": 3}, {\"weight\": 13917, \"source\": 3, \"target\": 4}, {\"weight\": 14120, \"source\": 3, \"target\": 8}, {\"weight\": 9272, \"source\": 3, \"target\": 5}, {\"weight\": 11655, \"source\": 3, \"target\": 6}, {\"weight\": 4903, \"source\": 3, \"target\": 7}, {\"weight\": 10207, \"source\": 4, \"target\": 8}, {\"weight\": 10447, \"source\": 4, \"target\": 5}, {\"weight\": 2657, \"source\": 4, \"target\": 6}, {\"weight\": 12729, \"source\": 4, \"target\": 7}, {\"weight\": 8224, \"source\": 5, \"target\": 8}, {\"weight\": 9892, \"source\": 5, \"target\": 6}, {\"weight\": 5733, \"source\": 5, \"target\": 7}, {\"weight\": 12162, \"source\": 6, \"target\": 8}, {\"weight\": 10990, \"source\": 6, \"target\": 7}, {\"weight\": 10897, \"source\": 7, \"target\": 8}]}",
"id": 1853,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: VVI, SFJ, KEW, PTG, NRT, CIY, WUS, GOU, GRR\n- Travel distances (in kilometers) between each pair of airports:\nVVI to NRT: 16989\nVVI to GRR: 7132\nVVI to CIY: 10835\nVVI to WUS: 19045\nVVI to SFJ: 12793\nVVI to GOU: 9667\nVVI to PTG: 9569\nVVI to KEW: 8719\nSFJ to NRT: 11990\nSFJ to GRR: 6422\nSFJ to CIY: 5588\nSFJ to WUS: 11722\nSFJ to GOU: 8574\nSFJ to PTG: 12962\nSFJ to KEW: 7443\nKEW to NRT: 9634\nKEW to GRR: 1788\nKEW to CIY: 9245\nKEW to WUS: 11996\nKEW to GOU: 11918\nKEW to PTG: 15256\nPTG to NRT: 13917\nPTG to GRR: 14120\nPTG to CIY: 9272\nPTG to WUS: 11655\nPTG to GOU: 4903\nNRT to GRR: 10207\nNRT to CIY: 10447\nNRT to WUS: 2657\nNRT to GOU: 12729\nCIY to GRR: 8224\nCIY to WUS: 9892\nCIY to GOU: 5733\nWUS to GRR: 12162\nWUS to GOU: 10990\nGOU to GRR: 10897\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZH, OVB, MEM, YYQ, ORF, YPW, SZB, YKS, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nCZH to OVB: 13047\nCZH to YKS: 14791\nCZH to YYQ: 4890\nCZH to YPW: 4966\nCZH to MEM: 2433\nCZH to ORF: 2589\nCZH to SRQ: 2669\nCZH to SZB: 17748\nOVB to YKS: 2775\nOVB to YYQ: 12516\nOVB to YPW: 11606\nOVB to MEM: 11322\nOVB to ORF: 10469\nOVB to SRQ: 11680\nOVB to SZB: 6052\nMEM to YKS: 13066\nMEM to YYQ: 2765\nMEM to YPW: 3308\nMEM to ORF: 1286\nMEM to SRQ: 1248\nMEM to SZB: 15866\nYYQ to YKS: 13164\nYYQ to YPW: 2983\nYYQ to ORF: 3290\nYYQ to SRQ: 3812\nYYQ to SZB: 15732\nORF to YKS: 12213\nORF to YPW: 4100\nORF to SRQ: 1347\nORF to SZB: 15879\nYPW to YKS: 10647\nYPW to SRQ: 4542\nYPW to SZB: 13048\nSZB to YKS: 7117\nSZB to SRQ: 16767\nYKS to SRQ: 13424\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 45606,
"style": "rule"
}
|
{
"exact_answer": 45606,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZH\", \"id\": 0}, {\"name\": \"OVB\", \"id\": 1}, {\"name\": \"MEM\", \"id\": 2}, {\"name\": \"YYQ\", \"id\": 3}, {\"name\": \"ORF\", \"id\": 4}, {\"name\": \"YPW\", \"id\": 5}, {\"name\": \"SZB\", \"id\": 6}, {\"name\": \"YKS\", \"id\": 7}, {\"name\": \"SRQ\", \"id\": 8}], \"links\": [{\"weight\": 13047, \"source\": 0, \"target\": 1}, {\"weight\": 14791, \"source\": 0, \"target\": 7}, {\"weight\": 4890, \"source\": 0, \"target\": 3}, {\"weight\": 4966, \"source\": 0, \"target\": 5}, {\"weight\": 2433, \"source\": 0, \"target\": 2}, {\"weight\": 2589, \"source\": 0, \"target\": 4}, {\"weight\": 2669, \"source\": 0, \"target\": 8}, {\"weight\": 17748, \"source\": 0, \"target\": 6}, {\"weight\": 2775, \"source\": 1, \"target\": 7}, {\"weight\": 12516, \"source\": 1, \"target\": 3}, {\"weight\": 11606, \"source\": 1, \"target\": 5}, {\"weight\": 11322, \"source\": 1, \"target\": 2}, {\"weight\": 10469, \"source\": 1, \"target\": 4}, {\"weight\": 11680, \"source\": 1, \"target\": 8}, {\"weight\": 6052, \"source\": 1, \"target\": 6}, {\"weight\": 13066, \"source\": 2, \"target\": 7}, {\"weight\": 2765, \"source\": 2, \"target\": 3}, {\"weight\": 3308, \"source\": 2, \"target\": 5}, {\"weight\": 1286, \"source\": 2, \"target\": 4}, {\"weight\": 1248, \"source\": 2, \"target\": 8}, {\"weight\": 15866, \"source\": 2, \"target\": 6}, {\"weight\": 13164, \"source\": 3, \"target\": 7}, {\"weight\": 2983, \"source\": 3, \"target\": 5}, {\"weight\": 3290, \"source\": 3, \"target\": 4}, {\"weight\": 3812, \"source\": 3, \"target\": 8}, {\"weight\": 15732, \"source\": 3, \"target\": 6}, {\"weight\": 12213, \"source\": 4, \"target\": 7}, {\"weight\": 4100, \"source\": 4, \"target\": 5}, {\"weight\": 1347, \"source\": 4, \"target\": 8}, {\"weight\": 15879, \"source\": 4, \"target\": 6}, {\"weight\": 10647, \"source\": 5, \"target\": 7}, {\"weight\": 4542, \"source\": 5, \"target\": 8}, {\"weight\": 13048, \"source\": 5, \"target\": 6}, {\"weight\": 7117, \"source\": 6, \"target\": 7}, {\"weight\": 16767, \"source\": 6, \"target\": 8}, {\"weight\": 13424, \"source\": 7, \"target\": 8}]}",
"id": 1854,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZH, OVB, MEM, YYQ, ORF, YPW, SZB, YKS, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nCZH to OVB: 13047\nCZH to YKS: 14791\nCZH to YYQ: 4890\nCZH to YPW: 4966\nCZH to MEM: 2433\nCZH to ORF: 2589\nCZH to SRQ: 2669\nCZH to SZB: 17748\nOVB to YKS: 2775\nOVB to YYQ: 12516\nOVB to YPW: 11606\nOVB to MEM: 11322\nOVB to ORF: 10469\nOVB to SRQ: 11680\nOVB to SZB: 6052\nMEM to YKS: 13066\nMEM to YYQ: 2765\nMEM to YPW: 3308\nMEM to ORF: 1286\nMEM to SRQ: 1248\nMEM to SZB: 15866\nYYQ to YKS: 13164\nYYQ to YPW: 2983\nYYQ to ORF: 3290\nYYQ to SRQ: 3812\nYYQ to SZB: 15732\nORF to YKS: 12213\nORF to YPW: 4100\nORF to SRQ: 1347\nORF to SZB: 15879\nYPW to YKS: 10647\nYPW to SRQ: 4542\nYPW to SZB: 13048\nSZB to YKS: 7117\nSZB to SRQ: 16767\nYKS to SRQ: 13424\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFM, MZR, ULZ, YMT, REG, NRN, PUF, VOZ, WDH\n- Travel distances (in kilometers) between each pair of airports:\nMFM to MZR: 5019\nMFM to VOZ: 7731\nMFM to PUF: 10145\nMFM to REG: 9999\nMFM to WDH: 11811\nMFM to NRN: 9256\nMFM to ULZ: 3919\nMFM to YMT: 13562\nMZR to VOZ: 3596\nMZR to PUF: 5736\nMZR to REG: 5216\nMZR to WDH: 8683\nMZR to NRN: 5589\nMZR to ULZ: 4726\nMZR to YMT: 11507\nULZ to VOZ: 6556\nULZ to PUF: 8390\nULZ to REG: 8280\nULZ to WDH: 12701\nULZ to NRN: 7501\nULZ to YMT: 13455\nYMT to VOZ: 8552\nYMT to PUF: 6639\nYMT to REG: 7571\nYMT to WDH: 12796\nYMT to NRN: 6568\nREG to VOZ: 3172\nREG to PUF: 1563\nREG to WDH: 8379\nREG to NRN: 1693\nNRN to VOZ: 2568\nNRN to PUF: 1684\nNRN to WDH: 8833\nPUF to VOZ: 3075\nPUF to WDH: 8399\nVOZ to WDH: 9090\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49311,
"style": "rule"
}
|
{
"exact_answer": 49311,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MFM\", \"id\": 0}, {\"name\": \"MZR\", \"id\": 1}, {\"name\": \"ULZ\", \"id\": 2}, {\"name\": \"YMT\", \"id\": 3}, {\"name\": \"REG\", \"id\": 4}, {\"name\": \"NRN\", \"id\": 5}, {\"name\": \"PUF\", \"id\": 6}, {\"name\": \"VOZ\", \"id\": 7}, {\"name\": \"WDH\", \"id\": 8}], \"links\": [{\"weight\": 5019, \"source\": 0, \"target\": 1}, {\"weight\": 7731, \"source\": 0, \"target\": 7}, {\"weight\": 10145, \"source\": 0, \"target\": 6}, {\"weight\": 9999, \"source\": 0, \"target\": 4}, {\"weight\": 11811, \"source\": 0, \"target\": 8}, {\"weight\": 9256, \"source\": 0, \"target\": 5}, {\"weight\": 3919, \"source\": 0, \"target\": 2}, {\"weight\": 13562, \"source\": 0, \"target\": 3}, {\"weight\": 3596, \"source\": 1, \"target\": 7}, {\"weight\": 5736, \"source\": 1, \"target\": 6}, {\"weight\": 5216, \"source\": 1, \"target\": 4}, {\"weight\": 8683, \"source\": 1, \"target\": 8}, {\"weight\": 5589, \"source\": 1, \"target\": 5}, {\"weight\": 4726, \"source\": 1, \"target\": 2}, {\"weight\": 11507, \"source\": 1, \"target\": 3}, {\"weight\": 6556, \"source\": 2, \"target\": 7}, {\"weight\": 8390, \"source\": 2, \"target\": 6}, {\"weight\": 8280, \"source\": 2, \"target\": 4}, {\"weight\": 12701, \"source\": 2, \"target\": 8}, {\"weight\": 7501, \"source\": 2, \"target\": 5}, {\"weight\": 13455, \"source\": 2, \"target\": 3}, {\"weight\": 8552, \"source\": 3, \"target\": 7}, {\"weight\": 6639, \"source\": 3, \"target\": 6}, {\"weight\": 7571, \"source\": 3, \"target\": 4}, {\"weight\": 12796, \"source\": 3, \"target\": 8}, {\"weight\": 6568, \"source\": 3, \"target\": 5}, {\"weight\": 3172, \"source\": 4, \"target\": 7}, {\"weight\": 1563, \"source\": 4, \"target\": 6}, {\"weight\": 8379, \"source\": 4, \"target\": 8}, {\"weight\": 1693, \"source\": 4, \"target\": 5}, {\"weight\": 2568, \"source\": 5, \"target\": 7}, {\"weight\": 1684, \"source\": 5, \"target\": 6}, {\"weight\": 8833, \"source\": 5, \"target\": 8}, {\"weight\": 3075, \"source\": 6, \"target\": 7}, {\"weight\": 8399, \"source\": 6, \"target\": 8}, {\"weight\": 9090, \"source\": 7, \"target\": 8}]}",
"id": 1855,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MFM, MZR, ULZ, YMT, REG, NRN, PUF, VOZ, WDH\n- Travel distances (in kilometers) between each pair of airports:\nMFM to MZR: 5019\nMFM to VOZ: 7731\nMFM to PUF: 10145\nMFM to REG: 9999\nMFM to WDH: 11811\nMFM to NRN: 9256\nMFM to ULZ: 3919\nMFM to YMT: 13562\nMZR to VOZ: 3596\nMZR to PUF: 5736\nMZR to REG: 5216\nMZR to WDH: 8683\nMZR to NRN: 5589\nMZR to ULZ: 4726\nMZR to YMT: 11507\nULZ to VOZ: 6556\nULZ to PUF: 8390\nULZ to REG: 8280\nULZ to WDH: 12701\nULZ to NRN: 7501\nULZ to YMT: 13455\nYMT to VOZ: 8552\nYMT to PUF: 6639\nYMT to REG: 7571\nYMT to WDH: 12796\nYMT to NRN: 6568\nREG to VOZ: 3172\nREG to PUF: 1563\nREG to WDH: 8379\nREG to NRN: 1693\nNRN to VOZ: 2568\nNRN to PUF: 1684\nNRN to WDH: 8833\nPUF to VOZ: 3075\nPUF to WDH: 8399\nVOZ to WDH: 9090\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MEX, TNG, QUV, VAW, SUR, KOE, INL, EFL, MHH\n- Travel distances (in kilometers) between each pair of airports:\nMEX to MHH: 2379\nMEX to TNG: 9168\nMEX to EFL: 11103\nMEX to INL: 3290\nMEX to KOE: 17806\nMEX to QUV: 9468\nMEX to VAW: 10297\nMEX to SUR: 4275\nTNG to MHH: 7447\nTNG to EFL: 2641\nTNG to INL: 7609\nTNG to KOE: 14418\nTNG to QUV: 5649\nTNG to VAW: 4435\nTNG to SUR: 7731\nQUV to MHH: 8109\nQUV to EFL: 6082\nQUV to INL: 7719\nQUV to KOE: 16305\nQUV to VAW: 4933\nQUV to SUR: 7772\nVAW to MHH: 8938\nVAW to EFL: 3995\nVAW to INL: 8548\nVAW to KOE: 13476\nVAW to SUR: 8601\nSUR to MHH: 3657\nSUR to EFL: 9461\nSUR to INL: 1803\nSUR to KOE: 16449\nKOE to MHH: 18621\nKOE to EFL: 11967\nKOE to INL: 16515\nINL to MHH: 2930\nINL to EFL: 9086\nEFL to MHH: 9379\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55708,
"style": "rule"
}
|
{
"exact_answer": 55708,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"MEX\", \"id\": 0}, {\"name\": \"TNG\", \"id\": 1}, {\"name\": \"QUV\", \"id\": 2}, {\"name\": \"VAW\", \"id\": 3}, {\"name\": \"SUR\", \"id\": 4}, {\"name\": \"KOE\", \"id\": 5}, {\"name\": \"INL\", \"id\": 6}, {\"name\": \"EFL\", \"id\": 7}, {\"name\": \"MHH\", \"id\": 8}], \"links\": [{\"weight\": 2379, \"source\": 0, \"target\": 8}, {\"weight\": 9168, \"source\": 0, \"target\": 1}, {\"weight\": 11103, \"source\": 0, \"target\": 7}, {\"weight\": 3290, \"source\": 0, \"target\": 6}, {\"weight\": 17806, \"source\": 0, \"target\": 5}, {\"weight\": 9468, \"source\": 0, \"target\": 2}, {\"weight\": 10297, \"source\": 0, \"target\": 3}, {\"weight\": 4275, \"source\": 0, \"target\": 4}, {\"weight\": 7447, \"source\": 1, \"target\": 8}, {\"weight\": 2641, \"source\": 1, \"target\": 7}, {\"weight\": 7609, \"source\": 1, \"target\": 6}, {\"weight\": 14418, \"source\": 1, \"target\": 5}, {\"weight\": 5649, \"source\": 1, \"target\": 2}, {\"weight\": 4435, \"source\": 1, \"target\": 3}, {\"weight\": 7731, \"source\": 1, \"target\": 4}, {\"weight\": 8109, \"source\": 2, \"target\": 8}, {\"weight\": 6082, \"source\": 2, \"target\": 7}, {\"weight\": 7719, \"source\": 2, \"target\": 6}, {\"weight\": 16305, \"source\": 2, \"target\": 5}, {\"weight\": 4933, \"source\": 2, \"target\": 3}, {\"weight\": 7772, \"source\": 2, \"target\": 4}, {\"weight\": 8938, \"source\": 3, \"target\": 8}, {\"weight\": 3995, \"source\": 3, \"target\": 7}, {\"weight\": 8548, \"source\": 3, \"target\": 6}, {\"weight\": 13476, \"source\": 3, \"target\": 5}, {\"weight\": 8601, \"source\": 3, \"target\": 4}, {\"weight\": 3657, \"source\": 4, \"target\": 8}, {\"weight\": 9461, \"source\": 4, \"target\": 7}, {\"weight\": 1803, \"source\": 4, \"target\": 6}, {\"weight\": 16449, \"source\": 4, \"target\": 5}, {\"weight\": 18621, \"source\": 5, \"target\": 8}, {\"weight\": 11967, \"source\": 5, \"target\": 7}, {\"weight\": 16515, \"source\": 5, \"target\": 6}, {\"weight\": 2930, \"source\": 6, \"target\": 8}, {\"weight\": 9086, \"source\": 6, \"target\": 7}, {\"weight\": 9379, \"source\": 7, \"target\": 8}]}",
"id": 1856,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: MEX, TNG, QUV, VAW, SUR, KOE, INL, EFL, MHH\n- Travel distances (in kilometers) between each pair of airports:\nMEX to MHH: 2379\nMEX to TNG: 9168\nMEX to EFL: 11103\nMEX to INL: 3290\nMEX to KOE: 17806\nMEX to QUV: 9468\nMEX to VAW: 10297\nMEX to SUR: 4275\nTNG to MHH: 7447\nTNG to EFL: 2641\nTNG to INL: 7609\nTNG to KOE: 14418\nTNG to QUV: 5649\nTNG to VAW: 4435\nTNG to SUR: 7731\nQUV to MHH: 8109\nQUV to EFL: 6082\nQUV to INL: 7719\nQUV to KOE: 16305\nQUV to VAW: 4933\nQUV to SUR: 7772\nVAW to MHH: 8938\nVAW to EFL: 3995\nVAW to INL: 8548\nVAW to KOE: 13476\nVAW to SUR: 8601\nSUR to MHH: 3657\nSUR to EFL: 9461\nSUR to INL: 1803\nSUR to KOE: 16449\nKOE to MHH: 18621\nKOE to EFL: 11967\nKOE to INL: 16515\nINL to MHH: 2930\nINL to EFL: 9086\nEFL to MHH: 9379\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BTU, LNZ, IXS, CLO, GRQ, FLN, HMO, CPR, SJE\n- Travel distances (in kilometers) between each pair of airports:\nBTU to CLO: 18788\nBTU to HMO: 14161\nBTU to SJE: 19132\nBTU to IXS: 4069\nBTU to LNZ: 10826\nBTU to FLN: 17663\nBTU to CPR: 13857\nBTU to GRQ: 11607\nLNZ to CLO: 9820\nLNZ to HMO: 10001\nLNZ to SJE: 9828\nLNZ to IXS: 7369\nLNZ to FLN: 10553\nLNZ to CPR: 8912\nLNZ to GRQ: 1388\nIXS to CLO: 17128\nIXS to HMO: 14964\nIXS to SJE: 17139\nIXS to FLN: 16433\nIXS to CPR: 14332\nIXS to GRQ: 8259\nCLO to HMO: 4650\nCLO to SJE: 568\nCLO to FLN: 5129\nCLO to CPR: 5310\nCLO to GRQ: 9597\nGRQ to HMO: 9582\nGRQ to SJE: 9605\nGRQ to FLN: 10456\nGRQ to CPR: 8495\nFLN to HMO: 9451\nFLN to SJE: 5137\nFLN to CPR: 9975\nHMO to SJE: 5052\nHMO to CPR: 1821\nCPR to SJE: 5623\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 49315,
"style": "rule"
}
|
{
"exact_answer": 49315,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BTU\", \"id\": 0}, {\"name\": \"LNZ\", \"id\": 1}, {\"name\": \"IXS\", \"id\": 2}, {\"name\": \"CLO\", \"id\": 3}, {\"name\": \"GRQ\", \"id\": 4}, {\"name\": \"FLN\", \"id\": 5}, {\"name\": \"HMO\", \"id\": 6}, {\"name\": \"CPR\", \"id\": 7}, {\"name\": \"SJE\", \"id\": 8}], \"links\": [{\"weight\": 18788, \"source\": 0, \"target\": 3}, {\"weight\": 14161, \"source\": 0, \"target\": 6}, {\"weight\": 19132, \"source\": 0, \"target\": 8}, {\"weight\": 4069, \"source\": 0, \"target\": 2}, {\"weight\": 10826, \"source\": 0, \"target\": 1}, {\"weight\": 17663, \"source\": 0, \"target\": 5}, {\"weight\": 13857, \"source\": 0, \"target\": 7}, {\"weight\": 11607, \"source\": 0, \"target\": 4}, {\"weight\": 9820, \"source\": 1, \"target\": 3}, {\"weight\": 10001, \"source\": 1, \"target\": 6}, {\"weight\": 9828, \"source\": 1, \"target\": 8}, {\"weight\": 7369, \"source\": 1, \"target\": 2}, {\"weight\": 10553, \"source\": 1, \"target\": 5}, {\"weight\": 8912, \"source\": 1, \"target\": 7}, {\"weight\": 1388, \"source\": 1, \"target\": 4}, {\"weight\": 17128, \"source\": 2, \"target\": 3}, {\"weight\": 14964, \"source\": 2, \"target\": 6}, {\"weight\": 17139, \"source\": 2, \"target\": 8}, {\"weight\": 16433, \"source\": 2, \"target\": 5}, {\"weight\": 14332, \"source\": 2, \"target\": 7}, {\"weight\": 8259, \"source\": 2, \"target\": 4}, {\"weight\": 4650, \"source\": 3, \"target\": 6}, {\"weight\": 568, \"source\": 3, \"target\": 8}, {\"weight\": 5129, \"source\": 3, \"target\": 5}, {\"weight\": 5310, \"source\": 3, \"target\": 7}, {\"weight\": 9597, \"source\": 3, \"target\": 4}, {\"weight\": 9582, \"source\": 4, \"target\": 6}, {\"weight\": 9605, \"source\": 4, \"target\": 8}, {\"weight\": 10456, \"source\": 4, \"target\": 5}, {\"weight\": 8495, \"source\": 4, \"target\": 7}, {\"weight\": 9451, \"source\": 5, \"target\": 6}, {\"weight\": 5137, \"source\": 5, \"target\": 8}, {\"weight\": 9975, \"source\": 5, \"target\": 7}, {\"weight\": 5052, \"source\": 6, \"target\": 8}, {\"weight\": 1821, \"source\": 6, \"target\": 7}, {\"weight\": 5623, \"source\": 7, \"target\": 8}]}",
"id": 1857,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BTU, LNZ, IXS, CLO, GRQ, FLN, HMO, CPR, SJE\n- Travel distances (in kilometers) between each pair of airports:\nBTU to CLO: 18788\nBTU to HMO: 14161\nBTU to SJE: 19132\nBTU to IXS: 4069\nBTU to LNZ: 10826\nBTU to FLN: 17663\nBTU to CPR: 13857\nBTU to GRQ: 11607\nLNZ to CLO: 9820\nLNZ to HMO: 10001\nLNZ to SJE: 9828\nLNZ to IXS: 7369\nLNZ to FLN: 10553\nLNZ to CPR: 8912\nLNZ to GRQ: 1388\nIXS to CLO: 17128\nIXS to HMO: 14964\nIXS to SJE: 17139\nIXS to FLN: 16433\nIXS to CPR: 14332\nIXS to GRQ: 8259\nCLO to HMO: 4650\nCLO to SJE: 568\nCLO to FLN: 5129\nCLO to CPR: 5310\nCLO to GRQ: 9597\nGRQ to HMO: 9582\nGRQ to SJE: 9605\nGRQ to FLN: 10456\nGRQ to CPR: 8495\nFLN to HMO: 9451\nFLN to SJE: 5137\nFLN to CPR: 9975\nHMO to SJE: 5052\nHMO to CPR: 1821\nCPR to SJE: 5623\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IPN, UCT, MSA, JNZ, CXB, RAE, IUE, CVG, SFO\n- Travel distances (in kilometers) between each pair of airports:\nIPN to UCT: 12497\nIPN to CXB: 16200\nIPN to CVG: 8076\nIPN to SFO: 10537\nIPN to JNZ: 18331\nIPN to IUE: 15355\nIPN to RAE: 11795\nIPN to MSA: 9733\nUCT to CXB: 6185\nUCT to CVG: 8878\nUCT to SFO: 10836\nUCT to JNZ: 6489\nUCT to IUE: 18365\nUCT to RAE: 5681\nUCT to MSA: 9764\nMSA to CXB: 14793\nMSA to CVG: 2214\nMSA to SFO: 3530\nMSA to JNZ: 11820\nMSA to IUE: 16219\nMSA to RAE: 13036\nJNZ to CXB: 4201\nJNZ to CVG: 12041\nJNZ to SFO: 10182\nJNZ to IUE: 12965\nJNZ to RAE: 8555\nCXB to CVG: 14063\nCXB to SFO: 13173\nCXB to IUE: 13920\nCXB to RAE: 5573\nRAE to CVG: 12139\nRAE to SFO: 14095\nRAE to IUE: 18362\nIUE to CVG: 16023\nIUE to SFO: 12995\nCVG to SFO: 3269\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 67642,
"style": "rule"
}
|
{
"exact_answer": 67642,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IPN\", \"id\": 0}, {\"name\": \"UCT\", \"id\": 1}, {\"name\": \"MSA\", \"id\": 2}, {\"name\": \"JNZ\", \"id\": 3}, {\"name\": \"CXB\", \"id\": 4}, {\"name\": \"RAE\", \"id\": 5}, {\"name\": \"IUE\", \"id\": 6}, {\"name\": \"CVG\", \"id\": 7}, {\"name\": \"SFO\", \"id\": 8}], \"links\": [{\"weight\": 12497, \"source\": 0, \"target\": 1}, {\"weight\": 16200, \"source\": 0, \"target\": 4}, {\"weight\": 8076, \"source\": 0, \"target\": 7}, {\"weight\": 10537, \"source\": 0, \"target\": 8}, {\"weight\": 18331, \"source\": 0, \"target\": 3}, {\"weight\": 15355, \"source\": 0, \"target\": 6}, {\"weight\": 11795, \"source\": 0, \"target\": 5}, {\"weight\": 9733, \"source\": 0, \"target\": 2}, {\"weight\": 6185, \"source\": 1, \"target\": 4}, {\"weight\": 8878, \"source\": 1, \"target\": 7}, {\"weight\": 10836, \"source\": 1, \"target\": 8}, {\"weight\": 6489, \"source\": 1, \"target\": 3}, {\"weight\": 18365, \"source\": 1, \"target\": 6}, {\"weight\": 5681, \"source\": 1, \"target\": 5}, {\"weight\": 9764, \"source\": 1, \"target\": 2}, {\"weight\": 14793, \"source\": 2, \"target\": 4}, {\"weight\": 2214, \"source\": 2, \"target\": 7}, {\"weight\": 3530, \"source\": 2, \"target\": 8}, {\"weight\": 11820, \"source\": 2, \"target\": 3}, {\"weight\": 16219, \"source\": 2, \"target\": 6}, {\"weight\": 13036, \"source\": 2, \"target\": 5}, {\"weight\": 4201, \"source\": 3, \"target\": 4}, {\"weight\": 12041, \"source\": 3, \"target\": 7}, {\"weight\": 10182, \"source\": 3, \"target\": 8}, {\"weight\": 12965, \"source\": 3, \"target\": 6}, {\"weight\": 8555, \"source\": 3, \"target\": 5}, {\"weight\": 14063, \"source\": 4, \"target\": 7}, {\"weight\": 13173, \"source\": 4, \"target\": 8}, {\"weight\": 13920, \"source\": 4, \"target\": 6}, {\"weight\": 5573, \"source\": 4, \"target\": 5}, {\"weight\": 12139, \"source\": 5, \"target\": 7}, {\"weight\": 14095, \"source\": 5, \"target\": 8}, {\"weight\": 18362, \"source\": 5, \"target\": 6}, {\"weight\": 16023, \"source\": 6, \"target\": 7}, {\"weight\": 12995, \"source\": 6, \"target\": 8}, {\"weight\": 3269, \"source\": 7, \"target\": 8}]}",
"id": 1858,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IPN, UCT, MSA, JNZ, CXB, RAE, IUE, CVG, SFO\n- Travel distances (in kilometers) between each pair of airports:\nIPN to UCT: 12497\nIPN to CXB: 16200\nIPN to CVG: 8076\nIPN to SFO: 10537\nIPN to JNZ: 18331\nIPN to IUE: 15355\nIPN to RAE: 11795\nIPN to MSA: 9733\nUCT to CXB: 6185\nUCT to CVG: 8878\nUCT to SFO: 10836\nUCT to JNZ: 6489\nUCT to IUE: 18365\nUCT to RAE: 5681\nUCT to MSA: 9764\nMSA to CXB: 14793\nMSA to CVG: 2214\nMSA to SFO: 3530\nMSA to JNZ: 11820\nMSA to IUE: 16219\nMSA to RAE: 13036\nJNZ to CXB: 4201\nJNZ to CVG: 12041\nJNZ to SFO: 10182\nJNZ to IUE: 12965\nJNZ to RAE: 8555\nCXB to CVG: 14063\nCXB to SFO: 13173\nCXB to IUE: 13920\nCXB to RAE: 5573\nRAE to CVG: 12139\nRAE to SFO: 14095\nRAE to IUE: 18362\nIUE to CVG: 16023\nIUE to SFO: 12995\nCVG to SFO: 3269\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, NHV, PYY, TJU, UDR, PRH, AJL, SVA, KYU\n- Travel distances (in kilometers) between each pair of airports:\nBAL to SVA: 14505\nBAL to KYU: 13982\nBAL to AJL: 6717\nBAL to UDR: 5516\nBAL to PRH: 8365\nBAL to TJU: 4558\nBAL to PYY: 7761\nBAL to NHV: 20148\nNHV to SVA: 11422\nNHV to KYU: 11181\nNHV to AJL: 16565\nNHV to UDR: 17301\nNHV to PRH: 15435\nNHV to TJU: 17369\nNHV to PYY: 15403\nPYY to SVA: 15122\nPYY to KYU: 14599\nPYY to AJL: 1936\nPYY to UDR: 3331\nPYY to PRH: 1125\nPYY to TJU: 5537\nTJU to SVA: 15685\nTJU to KYU: 15162\nTJU to AJL: 4500\nTJU to UDR: 3299\nTJU to PRH: 6148\nUDR to SVA: 16480\nUDR to KYU: 15957\nUDR to AJL: 2287\nUDR to PRH: 3935\nPRH to SVA: 15913\nPRH to KYU: 15390\nPRH to AJL: 2540\nAJL to SVA: 16179\nAJL to KYU: 15656\nSVA to KYU: 2009\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56053,
"style": "rule"
}
|
{
"exact_answer": 56053,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BAL\", \"id\": 0}, {\"name\": \"NHV\", \"id\": 1}, {\"name\": \"PYY\", \"id\": 2}, {\"name\": \"TJU\", \"id\": 3}, {\"name\": \"UDR\", \"id\": 4}, {\"name\": \"PRH\", \"id\": 5}, {\"name\": \"AJL\", \"id\": 6}, {\"name\": \"SVA\", \"id\": 7}, {\"name\": \"KYU\", \"id\": 8}], \"links\": [{\"weight\": 14505, \"source\": 0, \"target\": 7}, {\"weight\": 13982, \"source\": 0, \"target\": 8}, {\"weight\": 6717, \"source\": 0, \"target\": 6}, {\"weight\": 5516, \"source\": 0, \"target\": 4}, {\"weight\": 8365, \"source\": 0, \"target\": 5}, {\"weight\": 4558, \"source\": 0, \"target\": 3}, {\"weight\": 7761, \"source\": 0, \"target\": 2}, {\"weight\": 20148, \"source\": 0, \"target\": 1}, {\"weight\": 11422, \"source\": 1, \"target\": 7}, {\"weight\": 11181, \"source\": 1, \"target\": 8}, {\"weight\": 16565, \"source\": 1, \"target\": 6}, {\"weight\": 17301, \"source\": 1, \"target\": 4}, {\"weight\": 15435, \"source\": 1, \"target\": 5}, {\"weight\": 17369, \"source\": 1, \"target\": 3}, {\"weight\": 15403, \"source\": 1, \"target\": 2}, {\"weight\": 15122, \"source\": 2, \"target\": 7}, {\"weight\": 14599, \"source\": 2, \"target\": 8}, {\"weight\": 1936, \"source\": 2, \"target\": 6}, {\"weight\": 3331, \"source\": 2, \"target\": 4}, {\"weight\": 1125, \"source\": 2, \"target\": 5}, {\"weight\": 5537, \"source\": 2, \"target\": 3}, {\"weight\": 15685, \"source\": 3, \"target\": 7}, {\"weight\": 15162, \"source\": 3, \"target\": 8}, {\"weight\": 4500, \"source\": 3, \"target\": 6}, {\"weight\": 3299, \"source\": 3, \"target\": 4}, {\"weight\": 6148, \"source\": 3, \"target\": 5}, {\"weight\": 16480, \"source\": 4, \"target\": 7}, {\"weight\": 15957, \"source\": 4, \"target\": 8}, {\"weight\": 2287, \"source\": 4, \"target\": 6}, {\"weight\": 3935, \"source\": 4, \"target\": 5}, {\"weight\": 15913, \"source\": 5, \"target\": 7}, {\"weight\": 15390, \"source\": 5, \"target\": 8}, {\"weight\": 2540, \"source\": 5, \"target\": 6}, {\"weight\": 16179, \"source\": 6, \"target\": 7}, {\"weight\": 15656, \"source\": 6, \"target\": 8}, {\"weight\": 2009, \"source\": 7, \"target\": 8}]}",
"id": 1859,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, NHV, PYY, TJU, UDR, PRH, AJL, SVA, KYU\n- Travel distances (in kilometers) between each pair of airports:\nBAL to SVA: 14505\nBAL to KYU: 13982\nBAL to AJL: 6717\nBAL to UDR: 5516\nBAL to PRH: 8365\nBAL to TJU: 4558\nBAL to PYY: 7761\nBAL to NHV: 20148\nNHV to SVA: 11422\nNHV to KYU: 11181\nNHV to AJL: 16565\nNHV to UDR: 17301\nNHV to PRH: 15435\nNHV to TJU: 17369\nNHV to PYY: 15403\nPYY to SVA: 15122\nPYY to KYU: 14599\nPYY to AJL: 1936\nPYY to UDR: 3331\nPYY to PRH: 1125\nPYY to TJU: 5537\nTJU to SVA: 15685\nTJU to KYU: 15162\nTJU to AJL: 4500\nTJU to UDR: 3299\nTJU to PRH: 6148\nUDR to SVA: 16480\nUDR to KYU: 15957\nUDR to AJL: 2287\nUDR to PRH: 3935\nPRH to SVA: 15913\nPRH to KYU: 15390\nPRH to AJL: 2540\nAJL to SVA: 16179\nAJL to KYU: 15656\nSVA to KYU: 2009\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BME, YZV, JNB, MKY, HLA, SUJ, DEN, MAH, JKL\n- Travel distances (in kilometers) between each pair of airports:\nBME to YZV: 18788\nBME to JNB: 9987\nBME to JKL: 12671\nBME to DEN: 16245\nBME to MAH: 14512\nBME to SUJ: 13019\nBME to HLA: 10982\nBME to MKY: 3302\nYZV to JNB: 13985\nYZV to JKL: 7661\nYZV to DEN: 3354\nYZV to MAH: 6337\nYZV to SUJ: 7475\nYZV to HLA: 15024\nYZV to MKY: 17035\nJNB to JKL: 7658\nJNB to DEN: 15439\nJNB to MAH: 8338\nJNB to SUJ: 8334\nJNB to HLA: 1039\nJNB to MKY: 12355\nMKY to JKL: 14723\nMKY to DEN: 13715\nMKY to MAH: 16320\nMKY to SUJ: 15066\nMKY to HLA: 13350\nHLA to JKL: 8697\nHLA to DEN: 16478\nHLA to MAH: 9377\nHLA to SUJ: 9373\nSUJ to JKL: 1472\nSUJ to DEN: 9847\nSUJ to MAH: 2558\nDEN to JKL: 10190\nDEN to MAH: 8739\nMAH to JKL: 2343\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50417,
"style": "rule"
}
|
{
"exact_answer": 50417,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BME\", \"id\": 0}, {\"name\": \"YZV\", \"id\": 1}, {\"name\": \"JNB\", \"id\": 2}, {\"name\": \"MKY\", \"id\": 3}, {\"name\": \"HLA\", \"id\": 4}, {\"name\": \"SUJ\", \"id\": 5}, {\"name\": \"DEN\", \"id\": 6}, {\"name\": \"MAH\", \"id\": 7}, {\"name\": \"JKL\", \"id\": 8}], \"links\": [{\"weight\": 18788, \"source\": 0, \"target\": 1}, {\"weight\": 9987, \"source\": 0, \"target\": 2}, {\"weight\": 12671, \"source\": 0, \"target\": 8}, {\"weight\": 16245, \"source\": 0, \"target\": 6}, {\"weight\": 14512, \"source\": 0, \"target\": 7}, {\"weight\": 13019, \"source\": 0, \"target\": 5}, {\"weight\": 10982, \"source\": 0, \"target\": 4}, {\"weight\": 3302, \"source\": 0, \"target\": 3}, {\"weight\": 13985, \"source\": 1, \"target\": 2}, {\"weight\": 7661, \"source\": 1, \"target\": 8}, {\"weight\": 3354, \"source\": 1, \"target\": 6}, {\"weight\": 6337, \"source\": 1, \"target\": 7}, {\"weight\": 7475, \"source\": 1, \"target\": 5}, {\"weight\": 15024, \"source\": 1, \"target\": 4}, {\"weight\": 17035, \"source\": 1, \"target\": 3}, {\"weight\": 7658, \"source\": 2, \"target\": 8}, {\"weight\": 15439, \"source\": 2, \"target\": 6}, {\"weight\": 8338, \"source\": 2, \"target\": 7}, {\"weight\": 8334, \"source\": 2, \"target\": 5}, {\"weight\": 1039, \"source\": 2, \"target\": 4}, {\"weight\": 12355, \"source\": 2, \"target\": 3}, {\"weight\": 14723, \"source\": 3, \"target\": 8}, {\"weight\": 13715, \"source\": 3, \"target\": 6}, {\"weight\": 16320, \"source\": 3, \"target\": 7}, {\"weight\": 15066, \"source\": 3, \"target\": 5}, {\"weight\": 13350, \"source\": 3, \"target\": 4}, {\"weight\": 8697, \"source\": 4, \"target\": 8}, {\"weight\": 16478, \"source\": 4, \"target\": 6}, {\"weight\": 9377, \"source\": 4, \"target\": 7}, {\"weight\": 9373, \"source\": 4, \"target\": 5}, {\"weight\": 1472, \"source\": 5, \"target\": 8}, {\"weight\": 9847, \"source\": 5, \"target\": 6}, {\"weight\": 2558, \"source\": 5, \"target\": 7}, {\"weight\": 10190, \"source\": 6, \"target\": 8}, {\"weight\": 8739, \"source\": 6, \"target\": 7}, {\"weight\": 2343, \"source\": 7, \"target\": 8}]}",
"id": 1860,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BME, YZV, JNB, MKY, HLA, SUJ, DEN, MAH, JKL\n- Travel distances (in kilometers) between each pair of airports:\nBME to YZV: 18788\nBME to JNB: 9987\nBME to JKL: 12671\nBME to DEN: 16245\nBME to MAH: 14512\nBME to SUJ: 13019\nBME to HLA: 10982\nBME to MKY: 3302\nYZV to JNB: 13985\nYZV to JKL: 7661\nYZV to DEN: 3354\nYZV to MAH: 6337\nYZV to SUJ: 7475\nYZV to HLA: 15024\nYZV to MKY: 17035\nJNB to JKL: 7658\nJNB to DEN: 15439\nJNB to MAH: 8338\nJNB to SUJ: 8334\nJNB to HLA: 1039\nJNB to MKY: 12355\nMKY to JKL: 14723\nMKY to DEN: 13715\nMKY to MAH: 16320\nMKY to SUJ: 15066\nMKY to HLA: 13350\nHLA to JKL: 8697\nHLA to DEN: 16478\nHLA to MAH: 9377\nHLA to SUJ: 9373\nSUJ to JKL: 1472\nSUJ to DEN: 9847\nSUJ to MAH: 2558\nDEN to JKL: 10190\nDEN to MAH: 8739\nMAH to JKL: 2343\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZE, HAK, PEW, MHH, EZE, YLW, POM, YYF, MHC\n- Travel distances (in kilometers) between each pair of airports:\nCZE to HAK: 17003\nCZE to MHH: 2550\nCZE to EZE: 5433\nCZE to YLW: 6917\nCZE to YYF: 7296\nCZE to POM: 18437\nCZE to PEW: 13768\nCZE to MHC: 9389\nHAK to MHH: 14899\nHAK to EZE: 19593\nHAK to YLW: 10973\nHAK to YYF: 10947\nHAK to POM: 5508\nHAK to PEW: 4346\nHAK to MHC: 23353\nPEW to MHH: 13043\nPEW to EZE: 15672\nPEW to YLW: 12453\nPEW to YYF: 12801\nPEW to POM: 9608\nPEW to MHC: 20787\nMHH to EZE: 7305\nMHH to YLW: 4578\nMHH to YYF: 5004\nMHH to POM: 16310\nMHH to MHC: 10939\nEZE to YLW: 11383\nEZE to YYF: 11601\nEZE to POM: 15174\nEZE to MHC: 5314\nYLW to YYF: 548\nYLW to POM: 12867\nYLW to MHC: 14892\nPOM to YYF: 12841\nPOM to MHC: 18212\nYYF to MHC: 14977\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59290,
"style": "rule"
}
|
{
"exact_answer": 59290,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CZE\", \"id\": 0}, {\"name\": \"HAK\", \"id\": 1}, {\"name\": \"PEW\", \"id\": 2}, {\"name\": \"MHH\", \"id\": 3}, {\"name\": \"EZE\", \"id\": 4}, {\"name\": \"YLW\", \"id\": 5}, {\"name\": \"POM\", \"id\": 6}, {\"name\": \"YYF\", \"id\": 7}, {\"name\": \"MHC\", \"id\": 8}], \"links\": [{\"weight\": 17003, \"source\": 0, \"target\": 1}, {\"weight\": 2550, \"source\": 0, \"target\": 3}, {\"weight\": 5433, \"source\": 0, \"target\": 4}, {\"weight\": 6917, \"source\": 0, \"target\": 5}, {\"weight\": 7296, \"source\": 0, \"target\": 7}, {\"weight\": 18437, \"source\": 0, \"target\": 6}, {\"weight\": 13768, \"source\": 0, \"target\": 2}, {\"weight\": 9389, \"source\": 0, \"target\": 8}, {\"weight\": 14899, \"source\": 1, \"target\": 3}, {\"weight\": 19593, \"source\": 1, \"target\": 4}, {\"weight\": 10973, \"source\": 1, \"target\": 5}, {\"weight\": 10947, \"source\": 1, \"target\": 7}, {\"weight\": 5508, \"source\": 1, \"target\": 6}, {\"weight\": 4346, \"source\": 1, \"target\": 2}, {\"weight\": 23353, \"source\": 1, \"target\": 8}, {\"weight\": 13043, \"source\": 2, \"target\": 3}, {\"weight\": 15672, \"source\": 2, \"target\": 4}, {\"weight\": 12453, \"source\": 2, \"target\": 5}, {\"weight\": 12801, \"source\": 2, \"target\": 7}, {\"weight\": 9608, \"source\": 2, \"target\": 6}, {\"weight\": 20787, \"source\": 2, \"target\": 8}, {\"weight\": 7305, \"source\": 3, \"target\": 4}, {\"weight\": 4578, \"source\": 3, \"target\": 5}, {\"weight\": 5004, \"source\": 3, \"target\": 7}, {\"weight\": 16310, \"source\": 3, \"target\": 6}, {\"weight\": 10939, \"source\": 3, \"target\": 8}, {\"weight\": 11383, \"source\": 4, \"target\": 5}, {\"weight\": 11601, \"source\": 4, \"target\": 7}, {\"weight\": 15174, \"source\": 4, \"target\": 6}, {\"weight\": 5314, \"source\": 4, \"target\": 8}, {\"weight\": 548, \"source\": 5, \"target\": 7}, {\"weight\": 12867, \"source\": 5, \"target\": 6}, {\"weight\": 14892, \"source\": 5, \"target\": 8}, {\"weight\": 12841, \"source\": 6, \"target\": 7}, {\"weight\": 18212, \"source\": 6, \"target\": 8}, {\"weight\": 14977, \"source\": 7, \"target\": 8}]}",
"id": 1861,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CZE, HAK, PEW, MHH, EZE, YLW, POM, YYF, MHC\n- Travel distances (in kilometers) between each pair of airports:\nCZE to HAK: 17003\nCZE to MHH: 2550\nCZE to EZE: 5433\nCZE to YLW: 6917\nCZE to YYF: 7296\nCZE to POM: 18437\nCZE to PEW: 13768\nCZE to MHC: 9389\nHAK to MHH: 14899\nHAK to EZE: 19593\nHAK to YLW: 10973\nHAK to YYF: 10947\nHAK to POM: 5508\nHAK to PEW: 4346\nHAK to MHC: 23353\nPEW to MHH: 13043\nPEW to EZE: 15672\nPEW to YLW: 12453\nPEW to YYF: 12801\nPEW to POM: 9608\nPEW to MHC: 20787\nMHH to EZE: 7305\nMHH to YLW: 4578\nMHH to YYF: 5004\nMHH to POM: 16310\nMHH to MHC: 10939\nEZE to YLW: 11383\nEZE to YYF: 11601\nEZE to POM: 15174\nEZE to MHC: 5314\nYLW to YYF: 548\nYLW to POM: 12867\nYLW to MHC: 14892\nPOM to YYF: 12841\nPOM to MHC: 18212\nYYF to MHC: 14977\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDP, ILO, BVS, FEN, SKZ, BPX, OMA, DIE, PGV\n- Travel distances (in kilometers) between each pair of airports:\nPDP to ILO: 19032\nPDP to OMA: 9776\nPDP to PGV: 8897\nPDP to FEN: 4646\nPDP to BPX: 18331\nPDP to BVS: 4556\nPDP to DIE: 12315\nPDP to SKZ: 15697\nILO to OMA: 13292\nILO to PGV: 14804\nILO to FEN: 18621\nILO to BPX: 3586\nILO to BVS: 19315\nILO to DIE: 9407\nILO to SKZ: 6432\nBVS to OMA: 6966\nBVS to PGV: 5846\nBVS to FEN: 2177\nBVS to BPX: 16407\nBVS to DIE: 12746\nBVS to SKZ: 13816\nFEN to OMA: 8705\nFEN to PGV: 7585\nFEN to BPX: 15740\nFEN to DIE: 12213\nFEN to SKZ: 13283\nSKZ to OMA: 13127\nSKZ to PGV: 13032\nSKZ to BPX: 3104\nSKZ to DIE: 6608\nBPX to OMA: 13084\nBPX to PGV: 13987\nBPX to DIE: 8859\nOMA to PGV: 1792\nOMA to DIE: 15733\nDIE to PGV: 15280\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53366,
"style": "rule"
}
|
{
"exact_answer": 53366,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PDP\", \"id\": 0}, {\"name\": \"ILO\", \"id\": 1}, {\"name\": \"BVS\", \"id\": 2}, {\"name\": \"FEN\", \"id\": 3}, {\"name\": \"SKZ\", \"id\": 4}, {\"name\": \"BPX\", \"id\": 5}, {\"name\": \"OMA\", \"id\": 6}, {\"name\": \"DIE\", \"id\": 7}, {\"name\": \"PGV\", \"id\": 8}], \"links\": [{\"weight\": 19032, \"source\": 0, \"target\": 1}, {\"weight\": 9776, \"source\": 0, \"target\": 6}, {\"weight\": 8897, \"source\": 0, \"target\": 8}, {\"weight\": 4646, \"source\": 0, \"target\": 3}, {\"weight\": 18331, \"source\": 0, \"target\": 5}, {\"weight\": 4556, \"source\": 0, \"target\": 2}, {\"weight\": 12315, \"source\": 0, \"target\": 7}, {\"weight\": 15697, \"source\": 0, \"target\": 4}, {\"weight\": 13292, \"source\": 1, \"target\": 6}, {\"weight\": 14804, \"source\": 1, \"target\": 8}, {\"weight\": 18621, \"source\": 1, \"target\": 3}, {\"weight\": 3586, \"source\": 1, \"target\": 5}, {\"weight\": 19315, \"source\": 1, \"target\": 2}, {\"weight\": 9407, \"source\": 1, \"target\": 7}, {\"weight\": 6432, \"source\": 1, \"target\": 4}, {\"weight\": 6966, \"source\": 2, \"target\": 6}, {\"weight\": 5846, \"source\": 2, \"target\": 8}, {\"weight\": 2177, \"source\": 2, \"target\": 3}, {\"weight\": 16407, \"source\": 2, \"target\": 5}, {\"weight\": 12746, \"source\": 2, \"target\": 7}, {\"weight\": 13816, \"source\": 2, \"target\": 4}, {\"weight\": 8705, \"source\": 3, \"target\": 6}, {\"weight\": 7585, \"source\": 3, \"target\": 8}, {\"weight\": 15740, \"source\": 3, \"target\": 5}, {\"weight\": 12213, \"source\": 3, \"target\": 7}, {\"weight\": 13283, \"source\": 3, \"target\": 4}, {\"weight\": 13127, \"source\": 4, \"target\": 6}, {\"weight\": 13032, \"source\": 4, \"target\": 8}, {\"weight\": 3104, \"source\": 4, \"target\": 5}, {\"weight\": 6608, \"source\": 4, \"target\": 7}, {\"weight\": 13084, \"source\": 5, \"target\": 6}, {\"weight\": 13987, \"source\": 5, \"target\": 8}, {\"weight\": 8859, \"source\": 5, \"target\": 7}, {\"weight\": 1792, \"source\": 6, \"target\": 8}, {\"weight\": 15733, \"source\": 6, \"target\": 7}, {\"weight\": 15280, \"source\": 7, \"target\": 8}]}",
"id": 1862,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PDP, ILO, BVS, FEN, SKZ, BPX, OMA, DIE, PGV\n- Travel distances (in kilometers) between each pair of airports:\nPDP to ILO: 19032\nPDP to OMA: 9776\nPDP to PGV: 8897\nPDP to FEN: 4646\nPDP to BPX: 18331\nPDP to BVS: 4556\nPDP to DIE: 12315\nPDP to SKZ: 15697\nILO to OMA: 13292\nILO to PGV: 14804\nILO to FEN: 18621\nILO to BPX: 3586\nILO to BVS: 19315\nILO to DIE: 9407\nILO to SKZ: 6432\nBVS to OMA: 6966\nBVS to PGV: 5846\nBVS to FEN: 2177\nBVS to BPX: 16407\nBVS to DIE: 12746\nBVS to SKZ: 13816\nFEN to OMA: 8705\nFEN to PGV: 7585\nFEN to BPX: 15740\nFEN to DIE: 12213\nFEN to SKZ: 13283\nSKZ to OMA: 13127\nSKZ to PGV: 13032\nSKZ to BPX: 3104\nSKZ to DIE: 6608\nBPX to OMA: 13084\nBPX to PGV: 13987\nBPX to DIE: 8859\nOMA to PGV: 1792\nOMA to DIE: 15733\nDIE to PGV: 15280\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CSG, GUR, ROK, FEN, KGS, JQA, IXG, NKM, PTJ\n- Travel distances (in kilometers) between each pair of airports:\nCSG to KGS: 9587\nCSG to FEN: 7517\nCSG to GUR: 15892\nCSG to ROK: 15189\nCSG to JQA: 7624\nCSG to NKM: 11761\nCSG to IXG: 15181\nCSG to PTJ: 16883\nGUR to KGS: 14276\nGUR to FEN: 19584\nGUR to ROK: 2089\nGUR to JQA: 17809\nGUR to NKM: 6057\nGUR to IXG: 8921\nGUR to PTJ: 4840\nROK to KGS: 14981\nROK to FEN: 17659\nROK to JQA: 18853\nROK to NKM: 7400\nROK to IXG: 9441\nROK to PTJ: 2981\nFEN to KGS: 9232\nFEN to JQA: 11462\nFEN to NKM: 17518\nFEN to IXG: 14908\nFEN to PTJ: 18301\nKGS to JQA: 6220\nKGS to NKM: 9854\nKGS to IXG: 6501\nKGS to PTJ: 16286\nJQA to NKM: 12760\nJQA to IXG: 11650\nJQA to PTJ: 21125\nIXG to NKM: 7304\nIXG to PTJ: 10982\nNKM to PTJ: 10135\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 64594,
"style": "rule"
}
|
{
"exact_answer": 64594,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CSG\", \"id\": 0}, {\"name\": \"GUR\", \"id\": 1}, {\"name\": \"ROK\", \"id\": 2}, {\"name\": \"FEN\", \"id\": 3}, {\"name\": \"KGS\", \"id\": 4}, {\"name\": \"JQA\", \"id\": 5}, {\"name\": \"IXG\", \"id\": 6}, {\"name\": \"NKM\", \"id\": 7}, {\"name\": \"PTJ\", \"id\": 8}], \"links\": [{\"weight\": 9587, \"source\": 0, \"target\": 4}, {\"weight\": 7517, \"source\": 0, \"target\": 3}, {\"weight\": 15892, \"source\": 0, \"target\": 1}, {\"weight\": 15189, \"source\": 0, \"target\": 2}, {\"weight\": 7624, \"source\": 0, \"target\": 5}, {\"weight\": 11761, \"source\": 0, \"target\": 7}, {\"weight\": 15181, \"source\": 0, \"target\": 6}, {\"weight\": 16883, \"source\": 0, \"target\": 8}, {\"weight\": 14276, \"source\": 1, \"target\": 4}, {\"weight\": 19584, \"source\": 1, \"target\": 3}, {\"weight\": 2089, \"source\": 1, \"target\": 2}, {\"weight\": 17809, \"source\": 1, \"target\": 5}, {\"weight\": 6057, \"source\": 1, \"target\": 7}, {\"weight\": 8921, \"source\": 1, \"target\": 6}, {\"weight\": 4840, \"source\": 1, \"target\": 8}, {\"weight\": 14981, \"source\": 2, \"target\": 4}, {\"weight\": 17659, \"source\": 2, \"target\": 3}, {\"weight\": 18853, \"source\": 2, \"target\": 5}, {\"weight\": 7400, \"source\": 2, \"target\": 7}, {\"weight\": 9441, \"source\": 2, \"target\": 6}, {\"weight\": 2981, \"source\": 2, \"target\": 8}, {\"weight\": 9232, \"source\": 3, \"target\": 4}, {\"weight\": 11462, \"source\": 3, \"target\": 5}, {\"weight\": 17518, \"source\": 3, \"target\": 7}, {\"weight\": 14908, \"source\": 3, \"target\": 6}, {\"weight\": 18301, \"source\": 3, \"target\": 8}, {\"weight\": 6220, \"source\": 4, \"target\": 5}, {\"weight\": 9854, \"source\": 4, \"target\": 7}, {\"weight\": 6501, \"source\": 4, \"target\": 6}, {\"weight\": 16286, \"source\": 4, \"target\": 8}, {\"weight\": 12760, \"source\": 5, \"target\": 7}, {\"weight\": 11650, \"source\": 5, \"target\": 6}, {\"weight\": 21125, \"source\": 5, \"target\": 8}, {\"weight\": 7304, \"source\": 6, \"target\": 7}, {\"weight\": 10982, \"source\": 6, \"target\": 8}, {\"weight\": 10135, \"source\": 7, \"target\": 8}]}",
"id": 1863,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CSG, GUR, ROK, FEN, KGS, JQA, IXG, NKM, PTJ\n- Travel distances (in kilometers) between each pair of airports:\nCSG to KGS: 9587\nCSG to FEN: 7517\nCSG to GUR: 15892\nCSG to ROK: 15189\nCSG to JQA: 7624\nCSG to NKM: 11761\nCSG to IXG: 15181\nCSG to PTJ: 16883\nGUR to KGS: 14276\nGUR to FEN: 19584\nGUR to ROK: 2089\nGUR to JQA: 17809\nGUR to NKM: 6057\nGUR to IXG: 8921\nGUR to PTJ: 4840\nROK to KGS: 14981\nROK to FEN: 17659\nROK to JQA: 18853\nROK to NKM: 7400\nROK to IXG: 9441\nROK to PTJ: 2981\nFEN to KGS: 9232\nFEN to JQA: 11462\nFEN to NKM: 17518\nFEN to IXG: 14908\nFEN to PTJ: 18301\nKGS to JQA: 6220\nKGS to NKM: 9854\nKGS to IXG: 6501\nKGS to PTJ: 16286\nJQA to NKM: 12760\nJQA to IXG: 11650\nJQA to PTJ: 21125\nIXG to NKM: 7304\nIXG to PTJ: 10982\nNKM to PTJ: 10135\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YGH, NNB, MYU, YGX, YGP, SRP, MRD, MNG, TIV\n- Travel distances (in kilometers) between each pair of airports:\nYGH to TIV: 10338\nYGH to MYU: 5940\nYGH to MRD: 8371\nYGH to YGP: 4843\nYGH to SRP: 8447\nYGH to NNB: 14503\nYGH to YGX: 2999\nYGH to MNG: 16624\nNNB to TIV: 15884\nNNB to MYU: 12865\nNNB to MRD: 17653\nNNB to YGP: 16057\nNNB to SRP: 15673\nNNB to YGX: 14459\nNNB to MNG: 4598\nMYU to TIV: 12603\nMYU to MRD: 10011\nMYU to YGP: 7243\nMYU to SRP: 10712\nMYU to YGX: 5861\nMYU to MNG: 16126\nYGX to TIV: 9527\nYGX to MRD: 6453\nYGX to YGP: 3347\nYGX to SRP: 8102\nYGX to MNG: 16474\nYGP to TIV: 7303\nYGP to MRD: 5118\nYGP to SRP: 6767\nYGP to MNG: 18067\nSRP to TIV: 2261\nSRP to MRD: 8937\nSRP to MNG: 13591\nMRD to TIV: 9591\nMRD to MNG: 20276\nMNG to TIV: 13472\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 59537,
"style": "rule"
}
|
{
"exact_answer": 59537,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"YGH\", \"id\": 0}, {\"name\": \"NNB\", \"id\": 1}, {\"name\": \"MYU\", \"id\": 2}, {\"name\": \"YGX\", \"id\": 3}, {\"name\": \"YGP\", \"id\": 4}, {\"name\": \"SRP\", \"id\": 5}, {\"name\": \"MRD\", \"id\": 6}, {\"name\": \"MNG\", \"id\": 7}, {\"name\": \"TIV\", \"id\": 8}], \"links\": [{\"weight\": 10338, \"source\": 0, \"target\": 8}, {\"weight\": 5940, \"source\": 0, \"target\": 2}, {\"weight\": 8371, \"source\": 0, \"target\": 6}, {\"weight\": 4843, \"source\": 0, \"target\": 4}, {\"weight\": 8447, \"source\": 0, \"target\": 5}, {\"weight\": 14503, \"source\": 0, \"target\": 1}, {\"weight\": 2999, \"source\": 0, \"target\": 3}, {\"weight\": 16624, \"source\": 0, \"target\": 7}, {\"weight\": 15884, \"source\": 1, \"target\": 8}, {\"weight\": 12865, \"source\": 1, \"target\": 2}, {\"weight\": 17653, \"source\": 1, \"target\": 6}, {\"weight\": 16057, \"source\": 1, \"target\": 4}, {\"weight\": 15673, \"source\": 1, \"target\": 5}, {\"weight\": 14459, \"source\": 1, \"target\": 3}, {\"weight\": 4598, \"source\": 1, \"target\": 7}, {\"weight\": 12603, \"source\": 2, \"target\": 8}, {\"weight\": 10011, \"source\": 2, \"target\": 6}, {\"weight\": 7243, \"source\": 2, \"target\": 4}, {\"weight\": 10712, \"source\": 2, \"target\": 5}, {\"weight\": 5861, \"source\": 2, \"target\": 3}, {\"weight\": 16126, \"source\": 2, \"target\": 7}, {\"weight\": 9527, \"source\": 3, \"target\": 8}, {\"weight\": 6453, \"source\": 3, \"target\": 6}, {\"weight\": 3347, \"source\": 3, \"target\": 4}, {\"weight\": 8102, \"source\": 3, \"target\": 5}, {\"weight\": 16474, \"source\": 3, \"target\": 7}, {\"weight\": 7303, \"source\": 4, \"target\": 8}, {\"weight\": 5118, \"source\": 4, \"target\": 6}, {\"weight\": 6767, \"source\": 4, \"target\": 5}, {\"weight\": 18067, \"source\": 4, \"target\": 7}, {\"weight\": 2261, \"source\": 5, \"target\": 8}, {\"weight\": 8937, \"source\": 5, \"target\": 6}, {\"weight\": 13591, \"source\": 5, \"target\": 7}, {\"weight\": 9591, \"source\": 6, \"target\": 8}, {\"weight\": 20276, \"source\": 6, \"target\": 7}, {\"weight\": 13472, \"source\": 7, \"target\": 8}]}",
"id": 1864,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: YGH, NNB, MYU, YGX, YGP, SRP, MRD, MNG, TIV\n- Travel distances (in kilometers) between each pair of airports:\nYGH to TIV: 10338\nYGH to MYU: 5940\nYGH to MRD: 8371\nYGH to YGP: 4843\nYGH to SRP: 8447\nYGH to NNB: 14503\nYGH to YGX: 2999\nYGH to MNG: 16624\nNNB to TIV: 15884\nNNB to MYU: 12865\nNNB to MRD: 17653\nNNB to YGP: 16057\nNNB to SRP: 15673\nNNB to YGX: 14459\nNNB to MNG: 4598\nMYU to TIV: 12603\nMYU to MRD: 10011\nMYU to YGP: 7243\nMYU to SRP: 10712\nMYU to YGX: 5861\nMYU to MNG: 16126\nYGX to TIV: 9527\nYGX to MRD: 6453\nYGX to YGP: 3347\nYGX to SRP: 8102\nYGX to MNG: 16474\nYGP to TIV: 7303\nYGP to MRD: 5118\nYGP to SRP: 6767\nYGP to MNG: 18067\nSRP to TIV: 2261\nSRP to MRD: 8937\nSRP to MNG: 13591\nMRD to TIV: 9591\nMRD to MNG: 20276\nMNG to TIV: 13472\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, SBA, CDV, SXO, FUN, DYU, VGO, YYD, DDG\n- Travel distances (in kilometers) between each pair of airports:\nTRI to CDV: 5971\nTRI to DYU: 11526\nTRI to YYD: 4346\nTRI to SBA: 3632\nTRI to VGO: 7287\nTRI to DDG: 12294\nTRI to FUN: 13563\nTRI to SXO: 7841\nSBA to CDV: 3581\nSBA to DYU: 12947\nSBA to YYD: 2349\nSBA to VGO: 9994\nSBA to DDG: 10565\nSBA to FUN: 10215\nSBA to SXO: 10252\nCDV to DYU: 14253\nCDV to YYD: 3006\nCDV to VGO: 11182\nCDV to DDG: 11448\nCDV to FUN: 11018\nCDV to SXO: 13133\nSXO to DYU: 14484\nSXO to YYD: 11625\nSXO to VGO: 8696\nSXO to DDG: 18423\nSXO to FUN: 17147\nFUN to DYU: 14308\nFUN to YYD: 11324\nFUN to VGO: 19388\nFUN to DDG: 10421\nDYU to YYD: 12403\nDYU to VGO: 6347\nDYU to DDG: 4745\nVGO to YYD: 9332\nVGO to DDG: 9988\nYYD to DDG: 9825\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58055,
"style": "rule"
}
|
{
"exact_answer": 58055,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TRI\", \"id\": 0}, {\"name\": \"SBA\", \"id\": 1}, {\"name\": \"CDV\", \"id\": 2}, {\"name\": \"SXO\", \"id\": 3}, {\"name\": \"FUN\", \"id\": 4}, {\"name\": \"DYU\", \"id\": 5}, {\"name\": \"VGO\", \"id\": 6}, {\"name\": \"YYD\", \"id\": 7}, {\"name\": \"DDG\", \"id\": 8}], \"links\": [{\"weight\": 5971, \"source\": 0, \"target\": 2}, {\"weight\": 11526, \"source\": 0, \"target\": 5}, {\"weight\": 4346, \"source\": 0, \"target\": 7}, {\"weight\": 3632, \"source\": 0, \"target\": 1}, {\"weight\": 7287, \"source\": 0, \"target\": 6}, {\"weight\": 12294, \"source\": 0, \"target\": 8}, {\"weight\": 13563, \"source\": 0, \"target\": 4}, {\"weight\": 7841, \"source\": 0, \"target\": 3}, {\"weight\": 3581, \"source\": 1, \"target\": 2}, {\"weight\": 12947, \"source\": 1, \"target\": 5}, {\"weight\": 2349, \"source\": 1, \"target\": 7}, {\"weight\": 9994, \"source\": 1, \"target\": 6}, {\"weight\": 10565, \"source\": 1, \"target\": 8}, {\"weight\": 10215, \"source\": 1, \"target\": 4}, {\"weight\": 10252, \"source\": 1, \"target\": 3}, {\"weight\": 14253, \"source\": 2, \"target\": 5}, {\"weight\": 3006, \"source\": 2, \"target\": 7}, {\"weight\": 11182, \"source\": 2, \"target\": 6}, {\"weight\": 11448, \"source\": 2, \"target\": 8}, {\"weight\": 11018, \"source\": 2, \"target\": 4}, {\"weight\": 13133, \"source\": 2, \"target\": 3}, {\"weight\": 14484, \"source\": 3, \"target\": 5}, {\"weight\": 11625, \"source\": 3, \"target\": 7}, {\"weight\": 8696, \"source\": 3, \"target\": 6}, {\"weight\": 18423, \"source\": 3, \"target\": 8}, {\"weight\": 17147, \"source\": 3, \"target\": 4}, {\"weight\": 14308, \"source\": 4, \"target\": 5}, {\"weight\": 11324, \"source\": 4, \"target\": 7}, {\"weight\": 19388, \"source\": 4, \"target\": 6}, {\"weight\": 10421, \"source\": 4, \"target\": 8}, {\"weight\": 12403, \"source\": 5, \"target\": 7}, {\"weight\": 6347, \"source\": 5, \"target\": 6}, {\"weight\": 4745, \"source\": 5, \"target\": 8}, {\"weight\": 9332, \"source\": 6, \"target\": 7}, {\"weight\": 9988, \"source\": 6, \"target\": 8}, {\"weight\": 9825, \"source\": 7, \"target\": 8}]}",
"id": 1865,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TRI, SBA, CDV, SXO, FUN, DYU, VGO, YYD, DDG\n- Travel distances (in kilometers) between each pair of airports:\nTRI to CDV: 5971\nTRI to DYU: 11526\nTRI to YYD: 4346\nTRI to SBA: 3632\nTRI to VGO: 7287\nTRI to DDG: 12294\nTRI to FUN: 13563\nTRI to SXO: 7841\nSBA to CDV: 3581\nSBA to DYU: 12947\nSBA to YYD: 2349\nSBA to VGO: 9994\nSBA to DDG: 10565\nSBA to FUN: 10215\nSBA to SXO: 10252\nCDV to DYU: 14253\nCDV to YYD: 3006\nCDV to VGO: 11182\nCDV to DDG: 11448\nCDV to FUN: 11018\nCDV to SXO: 13133\nSXO to DYU: 14484\nSXO to YYD: 11625\nSXO to VGO: 8696\nSXO to DDG: 18423\nSXO to FUN: 17147\nFUN to DYU: 14308\nFUN to YYD: 11324\nFUN to VGO: 19388\nFUN to DDG: 10421\nDYU to YYD: 12403\nDYU to VGO: 6347\nDYU to DDG: 4745\nVGO to YYD: 9332\nVGO to DDG: 9988\nYYD to DDG: 9825\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PRH, NIM, JST, GRP, SYZ, TCG, JJU, KKE, VHC\n- Travel distances (in kilometers) between each pair of airports:\nPRH to NIM: 11248\nPRH to SYZ: 5995\nPRH to TCG: 4872\nPRH to VHC: 11795\nPRH to JJU: 12981\nPRH to KKE: 10425\nPRH to GRP: 18541\nPRH to JST: 15089\nNIM to SYZ: 5777\nNIM to TCG: 9180\nNIM to VHC: 3910\nNIM to JJU: 8022\nNIM to KKE: 18696\nNIM to GRP: 7642\nNIM to JST: 8756\nJST to SYZ: 11095\nJST to TCG: 12177\nJST to VHC: 12047\nJST to JJU: 6608\nJST to KKE: 14560\nJST to GRP: 7698\nGRP to SYZ: 13128\nGRP to TCG: 15844\nGRP to VHC: 8391\nGRP to JJU: 12983\nGRP to KKE: 13811\nSYZ to TCG: 3954\nSYZ to VHC: 6997\nSYZ to JJU: 8560\nSYZ to KKE: 14960\nTCG to VHC: 10781\nTCG to JJU: 9413\nTCG to KKE: 13232\nJJU to VHC: 11447\nJJU to KKE: 19221\nKKE to VHC: 16676\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 66297,
"style": "rule"
}
|
{
"exact_answer": 66297,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PRH\", \"id\": 0}, {\"name\": \"NIM\", \"id\": 1}, {\"name\": \"JST\", \"id\": 2}, {\"name\": \"GRP\", \"id\": 3}, {\"name\": \"SYZ\", \"id\": 4}, {\"name\": \"TCG\", \"id\": 5}, {\"name\": \"JJU\", \"id\": 6}, {\"name\": \"KKE\", \"id\": 7}, {\"name\": \"VHC\", \"id\": 8}], \"links\": [{\"weight\": 11248, \"source\": 0, \"target\": 1}, {\"weight\": 5995, \"source\": 0, \"target\": 4}, {\"weight\": 4872, \"source\": 0, \"target\": 5}, {\"weight\": 11795, \"source\": 0, \"target\": 8}, {\"weight\": 12981, \"source\": 0, \"target\": 6}, {\"weight\": 10425, \"source\": 0, \"target\": 7}, {\"weight\": 18541, \"source\": 0, \"target\": 3}, {\"weight\": 15089, \"source\": 0, \"target\": 2}, {\"weight\": 5777, \"source\": 1, \"target\": 4}, {\"weight\": 9180, \"source\": 1, \"target\": 5}, {\"weight\": 3910, \"source\": 1, \"target\": 8}, {\"weight\": 8022, \"source\": 1, \"target\": 6}, {\"weight\": 18696, \"source\": 1, \"target\": 7}, {\"weight\": 7642, \"source\": 1, \"target\": 3}, {\"weight\": 8756, \"source\": 1, \"target\": 2}, {\"weight\": 11095, \"source\": 2, \"target\": 4}, {\"weight\": 12177, \"source\": 2, \"target\": 5}, {\"weight\": 12047, \"source\": 2, \"target\": 8}, {\"weight\": 6608, \"source\": 2, \"target\": 6}, {\"weight\": 14560, \"source\": 2, \"target\": 7}, {\"weight\": 7698, \"source\": 2, \"target\": 3}, {\"weight\": 13128, \"source\": 3, \"target\": 4}, {\"weight\": 15844, \"source\": 3, \"target\": 5}, {\"weight\": 8391, \"source\": 3, \"target\": 8}, {\"weight\": 12983, \"source\": 3, \"target\": 6}, {\"weight\": 13811, \"source\": 3, \"target\": 7}, {\"weight\": 3954, \"source\": 4, \"target\": 5}, {\"weight\": 6997, \"source\": 4, \"target\": 8}, {\"weight\": 8560, \"source\": 4, \"target\": 6}, {\"weight\": 14960, \"source\": 4, \"target\": 7}, {\"weight\": 10781, \"source\": 5, \"target\": 8}, {\"weight\": 9413, \"source\": 5, \"target\": 6}, {\"weight\": 13232, \"source\": 5, \"target\": 7}, {\"weight\": 11447, \"source\": 6, \"target\": 8}, {\"weight\": 19221, \"source\": 6, \"target\": 7}, {\"weight\": 16676, \"source\": 7, \"target\": 8}]}",
"id": 1866,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PRH, NIM, JST, GRP, SYZ, TCG, JJU, KKE, VHC\n- Travel distances (in kilometers) between each pair of airports:\nPRH to NIM: 11248\nPRH to SYZ: 5995\nPRH to TCG: 4872\nPRH to VHC: 11795\nPRH to JJU: 12981\nPRH to KKE: 10425\nPRH to GRP: 18541\nPRH to JST: 15089\nNIM to SYZ: 5777\nNIM to TCG: 9180\nNIM to VHC: 3910\nNIM to JJU: 8022\nNIM to KKE: 18696\nNIM to GRP: 7642\nNIM to JST: 8756\nJST to SYZ: 11095\nJST to TCG: 12177\nJST to VHC: 12047\nJST to JJU: 6608\nJST to KKE: 14560\nJST to GRP: 7698\nGRP to SYZ: 13128\nGRP to TCG: 15844\nGRP to VHC: 8391\nGRP to JJU: 12983\nGRP to KKE: 13811\nSYZ to TCG: 3954\nSYZ to VHC: 6997\nSYZ to JJU: 8560\nSYZ to KKE: 14960\nTCG to VHC: 10781\nTCG to JJU: 9413\nTCG to KKE: 13232\nJJU to VHC: 11447\nJJU to KKE: 19221\nKKE to VHC: 16676\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRU, YNT, THR, REL, SHL, ABS, HDG, NMA, HAH\n- Travel distances (in kilometers) between each pair of airports:\nFRU to NMA: 664\nFRU to HDG: 4302\nFRU to REL: 17105\nFRU to HAH: 7193\nFRU to SHL: 3658\nFRU to THR: 2292\nFRU to YNT: 3979\nFRU to ABS: 4988\nYNT to NMA: 4635\nYNT to HDG: 847\nYNT to REL: 20726\nYNT to HAH: 10881\nYNT to SHL: 4246\nYNT to THR: 6194\nYNT to ABS: 8893\nTHR to NMA: 2753\nTHR to HDG: 6444\nTHR to REL: 15280\nTHR to HAH: 5376\nTHR to SHL: 4424\nTHR to ABS: 2866\nREL to NMA: 16862\nREL to HDG: 20967\nREL to HAH: 13318\nREL to SHL: 18736\nREL to ABS: 13978\nSHL to NMA: 3576\nSHL to HDG: 3674\nSHL to HAH: 8024\nSHL to ABS: 6463\nABS to NMA: 4708\nABS to HDG: 8553\nABS to HAH: 4682\nHDG to NMA: 4958\nHDG to HAH: 10403\nNMA to HAH: 6944\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50103,
"style": "rule"
}
|
{
"exact_answer": 50103,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FRU\", \"id\": 0}, {\"name\": \"YNT\", \"id\": 1}, {\"name\": \"THR\", \"id\": 2}, {\"name\": \"REL\", \"id\": 3}, {\"name\": \"SHL\", \"id\": 4}, {\"name\": \"ABS\", \"id\": 5}, {\"name\": \"HDG\", \"id\": 6}, {\"name\": \"NMA\", \"id\": 7}, {\"name\": \"HAH\", \"id\": 8}], \"links\": [{\"weight\": 664, \"source\": 0, \"target\": 7}, {\"weight\": 4302, \"source\": 0, \"target\": 6}, {\"weight\": 17105, \"source\": 0, \"target\": 3}, {\"weight\": 7193, \"source\": 0, \"target\": 8}, {\"weight\": 3658, \"source\": 0, \"target\": 4}, {\"weight\": 2292, \"source\": 0, \"target\": 2}, {\"weight\": 3979, \"source\": 0, \"target\": 1}, {\"weight\": 4988, \"source\": 0, \"target\": 5}, {\"weight\": 4635, \"source\": 1, \"target\": 7}, {\"weight\": 847, \"source\": 1, \"target\": 6}, {\"weight\": 20726, \"source\": 1, \"target\": 3}, {\"weight\": 10881, \"source\": 1, \"target\": 8}, {\"weight\": 4246, \"source\": 1, \"target\": 4}, {\"weight\": 6194, \"source\": 1, \"target\": 2}, {\"weight\": 8893, \"source\": 1, \"target\": 5}, {\"weight\": 2753, \"source\": 2, \"target\": 7}, {\"weight\": 6444, \"source\": 2, \"target\": 6}, {\"weight\": 15280, \"source\": 2, \"target\": 3}, {\"weight\": 5376, \"source\": 2, \"target\": 8}, {\"weight\": 4424, \"source\": 2, \"target\": 4}, {\"weight\": 2866, \"source\": 2, \"target\": 5}, {\"weight\": 16862, \"source\": 3, \"target\": 7}, {\"weight\": 20967, \"source\": 3, \"target\": 6}, {\"weight\": 13318, \"source\": 3, \"target\": 8}, {\"weight\": 18736, \"source\": 3, \"target\": 4}, {\"weight\": 13978, \"source\": 3, \"target\": 5}, {\"weight\": 3576, \"source\": 4, \"target\": 7}, {\"weight\": 3674, \"source\": 4, \"target\": 6}, {\"weight\": 8024, \"source\": 4, \"target\": 8}, {\"weight\": 6463, \"source\": 4, \"target\": 5}, {\"weight\": 4708, \"source\": 5, \"target\": 7}, {\"weight\": 8553, \"source\": 5, \"target\": 6}, {\"weight\": 4682, \"source\": 5, \"target\": 8}, {\"weight\": 4958, \"source\": 6, \"target\": 7}, {\"weight\": 10403, \"source\": 6, \"target\": 8}, {\"weight\": 6944, \"source\": 7, \"target\": 8}]}",
"id": 1867,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FRU, YNT, THR, REL, SHL, ABS, HDG, NMA, HAH\n- Travel distances (in kilometers) between each pair of airports:\nFRU to NMA: 664\nFRU to HDG: 4302\nFRU to REL: 17105\nFRU to HAH: 7193\nFRU to SHL: 3658\nFRU to THR: 2292\nFRU to YNT: 3979\nFRU to ABS: 4988\nYNT to NMA: 4635\nYNT to HDG: 847\nYNT to REL: 20726\nYNT to HAH: 10881\nYNT to SHL: 4246\nYNT to THR: 6194\nYNT to ABS: 8893\nTHR to NMA: 2753\nTHR to HDG: 6444\nTHR to REL: 15280\nTHR to HAH: 5376\nTHR to SHL: 4424\nTHR to ABS: 2866\nREL to NMA: 16862\nREL to HDG: 20967\nREL to HAH: 13318\nREL to SHL: 18736\nREL to ABS: 13978\nSHL to NMA: 3576\nSHL to HDG: 3674\nSHL to HAH: 8024\nSHL to ABS: 6463\nABS to NMA: 4708\nABS to HDG: 8553\nABS to HAH: 4682\nHDG to NMA: 4958\nHDG to HAH: 10403\nNMA to HAH: 6944\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IMT, EIS, YNJ, IIL, WWP, EGX, TKX, RVE, JIK\n- Travel distances (in kilometers) between each pair of airports:\nIMT to EIS: 4402\nIMT to RVE: 5614\nIMT to JIK: 9469\nIMT to YNJ: 11570\nIMT to IIL: 11858\nIMT to EGX: 4985\nIMT to WWP: 3869\nIMT to TKX: 10087\nEIS to RVE: 2273\nEIS to JIK: 9197\nEIS to YNJ: 14408\nEIS to IIL: 11675\nEIS to EGX: 8553\nEIS to WWP: 7339\nEIS to TKX: 12796\nYNJ to RVE: 15885\nYNJ to JIK: 8940\nYNJ to IIL: 7307\nYNJ to EGX: 11884\nYNJ to WWP: 10242\nYNJ to TKX: 11916\nIIL to RVE: 13652\nIIL to JIK: 3328\nIIL to EGX: 15342\nIIL to WWP: 13700\nIIL to TKX: 18377\nWWP to RVE: 8167\nWWP to JIK: 11420\nWWP to EGX: 1944\nWWP to TKX: 9958\nEGX to RVE: 9714\nEGX to JIK: 13062\nEGX to TKX: 10018\nTKX to RVE: 13163\nTKX to JIK: 18533\nRVE to JIK: 10973\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55466,
"style": "rule"
}
|
{
"exact_answer": 55466,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IMT\", \"id\": 0}, {\"name\": \"EIS\", \"id\": 1}, {\"name\": \"YNJ\", \"id\": 2}, {\"name\": \"IIL\", \"id\": 3}, {\"name\": \"WWP\", \"id\": 4}, {\"name\": \"EGX\", \"id\": 5}, {\"name\": \"TKX\", \"id\": 6}, {\"name\": \"RVE\", \"id\": 7}, {\"name\": \"JIK\", \"id\": 8}], \"links\": [{\"weight\": 4402, \"source\": 0, \"target\": 1}, {\"weight\": 5614, \"source\": 0, \"target\": 7}, {\"weight\": 9469, \"source\": 0, \"target\": 8}, {\"weight\": 11570, \"source\": 0, \"target\": 2}, {\"weight\": 11858, \"source\": 0, \"target\": 3}, {\"weight\": 4985, \"source\": 0, \"target\": 5}, {\"weight\": 3869, \"source\": 0, \"target\": 4}, {\"weight\": 10087, \"source\": 0, \"target\": 6}, {\"weight\": 2273, \"source\": 1, \"target\": 7}, {\"weight\": 9197, \"source\": 1, \"target\": 8}, {\"weight\": 14408, \"source\": 1, \"target\": 2}, {\"weight\": 11675, \"source\": 1, \"target\": 3}, {\"weight\": 8553, \"source\": 1, \"target\": 5}, {\"weight\": 7339, \"source\": 1, \"target\": 4}, {\"weight\": 12796, \"source\": 1, \"target\": 6}, {\"weight\": 15885, \"source\": 2, \"target\": 7}, {\"weight\": 8940, \"source\": 2, \"target\": 8}, {\"weight\": 7307, \"source\": 2, \"target\": 3}, {\"weight\": 11884, \"source\": 2, \"target\": 5}, {\"weight\": 10242, \"source\": 2, \"target\": 4}, {\"weight\": 11916, \"source\": 2, \"target\": 6}, {\"weight\": 13652, \"source\": 3, \"target\": 7}, {\"weight\": 3328, \"source\": 3, \"target\": 8}, {\"weight\": 15342, \"source\": 3, \"target\": 5}, {\"weight\": 13700, \"source\": 3, \"target\": 4}, {\"weight\": 18377, \"source\": 3, \"target\": 6}, {\"weight\": 8167, \"source\": 4, \"target\": 7}, {\"weight\": 11420, \"source\": 4, \"target\": 8}, {\"weight\": 1944, \"source\": 4, \"target\": 5}, {\"weight\": 9958, \"source\": 4, \"target\": 6}, {\"weight\": 9714, \"source\": 5, \"target\": 7}, {\"weight\": 13062, \"source\": 5, \"target\": 8}, {\"weight\": 10018, \"source\": 5, \"target\": 6}, {\"weight\": 13163, \"source\": 6, \"target\": 7}, {\"weight\": 18533, \"source\": 6, \"target\": 8}, {\"weight\": 10973, \"source\": 7, \"target\": 8}]}",
"id": 1868,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IMT, EIS, YNJ, IIL, WWP, EGX, TKX, RVE, JIK\n- Travel distances (in kilometers) between each pair of airports:\nIMT to EIS: 4402\nIMT to RVE: 5614\nIMT to JIK: 9469\nIMT to YNJ: 11570\nIMT to IIL: 11858\nIMT to EGX: 4985\nIMT to WWP: 3869\nIMT to TKX: 10087\nEIS to RVE: 2273\nEIS to JIK: 9197\nEIS to YNJ: 14408\nEIS to IIL: 11675\nEIS to EGX: 8553\nEIS to WWP: 7339\nEIS to TKX: 12796\nYNJ to RVE: 15885\nYNJ to JIK: 8940\nYNJ to IIL: 7307\nYNJ to EGX: 11884\nYNJ to WWP: 10242\nYNJ to TKX: 11916\nIIL to RVE: 13652\nIIL to JIK: 3328\nIIL to EGX: 15342\nIIL to WWP: 13700\nIIL to TKX: 18377\nWWP to RVE: 8167\nWWP to JIK: 11420\nWWP to EGX: 1944\nWWP to TKX: 9958\nEGX to RVE: 9714\nEGX to JIK: 13062\nEGX to TKX: 10018\nTKX to RVE: 13163\nTKX to JIK: 18533\nRVE to JIK: 10973\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWU, YTZ, HOR, SUX, HER, PUQ, KKH, NUP, KCH\n- Travel distances (in kilometers) between each pair of airports:\nTWU to HER: 10205\nTWU to KKH: 15128\nTWU to NUP: 15055\nTWU to SUX: 15170\nTWU to PUQ: 19635\nTWU to YTZ: 15100\nTWU to KCH: 1095\nTWU to HOR: 14520\nYTZ to HER: 8399\nYTZ to KKH: 6060\nYTZ to NUP: 5987\nYTZ to SUX: 2037\nYTZ to PUQ: 10797\nYTZ to KCH: 15598\nYTZ to HOR: 4817\nHOR to HER: 4828\nHOR to KKH: 10665\nHOR to NUP: 10592\nHOR to SUX: 6188\nHOR to PUQ: 12424\nHOR to KCH: 14198\nSUX to HER: 9752\nSUX to KKH: 6013\nSUX to NUP: 5940\nSUX to PUQ: 11440\nSUX to KCH: 15681\nHER to KKH: 13382\nHER to NUP: 13309\nHER to PUQ: 14746\nHER to KCH: 9602\nPUQ to KKH: 15639\nPUQ to NUP: 15566\nPUQ to KCH: 19595\nKKH to NUP: 141\nKKH to KCH: 15623\nNUP to KCH: 15550\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61992,
"style": "rule"
}
|
{
"exact_answer": 61992,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TWU\", \"id\": 0}, {\"name\": \"YTZ\", \"id\": 1}, {\"name\": \"HOR\", \"id\": 2}, {\"name\": \"SUX\", \"id\": 3}, {\"name\": \"HER\", \"id\": 4}, {\"name\": \"PUQ\", \"id\": 5}, {\"name\": \"KKH\", \"id\": 6}, {\"name\": \"NUP\", \"id\": 7}, {\"name\": \"KCH\", \"id\": 8}], \"links\": [{\"weight\": 10205, \"source\": 0, \"target\": 4}, {\"weight\": 15128, \"source\": 0, \"target\": 6}, {\"weight\": 15055, \"source\": 0, \"target\": 7}, {\"weight\": 15170, \"source\": 0, \"target\": 3}, {\"weight\": 19635, \"source\": 0, \"target\": 5}, {\"weight\": 15100, \"source\": 0, \"target\": 1}, {\"weight\": 1095, \"source\": 0, \"target\": 8}, {\"weight\": 14520, \"source\": 0, \"target\": 2}, {\"weight\": 8399, \"source\": 1, \"target\": 4}, {\"weight\": 6060, \"source\": 1, \"target\": 6}, {\"weight\": 5987, \"source\": 1, \"target\": 7}, {\"weight\": 2037, \"source\": 1, \"target\": 3}, {\"weight\": 10797, \"source\": 1, \"target\": 5}, {\"weight\": 15598, \"source\": 1, \"target\": 8}, {\"weight\": 4817, \"source\": 1, \"target\": 2}, {\"weight\": 4828, \"source\": 2, \"target\": 4}, {\"weight\": 10665, \"source\": 2, \"target\": 6}, {\"weight\": 10592, \"source\": 2, \"target\": 7}, {\"weight\": 6188, \"source\": 2, \"target\": 3}, {\"weight\": 12424, \"source\": 2, \"target\": 5}, {\"weight\": 14198, \"source\": 2, \"target\": 8}, {\"weight\": 9752, \"source\": 3, \"target\": 4}, {\"weight\": 6013, \"source\": 3, \"target\": 6}, {\"weight\": 5940, \"source\": 3, \"target\": 7}, {\"weight\": 11440, \"source\": 3, \"target\": 5}, {\"weight\": 15681, \"source\": 3, \"target\": 8}, {\"weight\": 13382, \"source\": 4, \"target\": 6}, {\"weight\": 13309, \"source\": 4, \"target\": 7}, {\"weight\": 14746, \"source\": 4, \"target\": 5}, {\"weight\": 9602, \"source\": 4, \"target\": 8}, {\"weight\": 15639, \"source\": 5, \"target\": 6}, {\"weight\": 15566, \"source\": 5, \"target\": 7}, {\"weight\": 19595, \"source\": 5, \"target\": 8}, {\"weight\": 141, \"source\": 6, \"target\": 7}, {\"weight\": 15623, \"source\": 6, \"target\": 8}, {\"weight\": 15550, \"source\": 7, \"target\": 8}]}",
"id": 1869,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TWU, YTZ, HOR, SUX, HER, PUQ, KKH, NUP, KCH\n- Travel distances (in kilometers) between each pair of airports:\nTWU to HER: 10205\nTWU to KKH: 15128\nTWU to NUP: 15055\nTWU to SUX: 15170\nTWU to PUQ: 19635\nTWU to YTZ: 15100\nTWU to KCH: 1095\nTWU to HOR: 14520\nYTZ to HER: 8399\nYTZ to KKH: 6060\nYTZ to NUP: 5987\nYTZ to SUX: 2037\nYTZ to PUQ: 10797\nYTZ to KCH: 15598\nYTZ to HOR: 4817\nHOR to HER: 4828\nHOR to KKH: 10665\nHOR to NUP: 10592\nHOR to SUX: 6188\nHOR to PUQ: 12424\nHOR to KCH: 14198\nSUX to HER: 9752\nSUX to KKH: 6013\nSUX to NUP: 5940\nSUX to PUQ: 11440\nSUX to KCH: 15681\nHER to KKH: 13382\nHER to NUP: 13309\nHER to PUQ: 14746\nHER to KCH: 9602\nPUQ to KKH: 15639\nPUQ to NUP: 15566\nPUQ to KCH: 19595\nKKH to NUP: 141\nKKH to KCH: 15623\nNUP to KCH: 15550\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DZN, HUY, MEU, PSP, PUQ, NGE, YEG, KGX, HFA\n- Travel distances (in kilometers) between each pair of airports:\nDZN to YEG: 12142\nDZN to KGX: 15806\nDZN to PSP: 13923\nDZN to PUQ: 19317\nDZN to HUY: 6496\nDZN to HFA: 5394\nDZN to MEU: 14802\nDZN to NGE: 8475\nHUY to YEG: 6924\nHUY to KGX: 10800\nHUY to PSP: 8841\nHUY to PUQ: 13986\nHUY to HFA: 4313\nHUY to MEU: 9307\nHUY to NGE: 5580\nMEU to YEG: 8920\nMEU to KGX: 11880\nMEU to PSP: 8216\nMEU to PUQ: 6711\nMEU to HFA: 11565\nMEU to NGE: 8777\nPSP to YEG: 2178\nPSP to KGX: 4543\nPSP to PUQ: 11210\nPSP to HFA: 12827\nPSP to NGE: 13714\nPUQ to YEG: 12668\nPUQ to KGX: 15554\nPUQ to HFA: 15239\nPUQ to NGE: 11687\nNGE to YEG: 11967\nNGE to KGX: 15846\nNGE to HFA: 5053\nYEG to KGX: 3883\nYEG to HFA: 10830\nKGX to HFA: 14706\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 58907,
"style": "rule"
}
|
{
"exact_answer": 58907,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DZN\", \"id\": 0}, {\"name\": \"HUY\", \"id\": 1}, {\"name\": \"MEU\", \"id\": 2}, {\"name\": \"PSP\", \"id\": 3}, {\"name\": \"PUQ\", \"id\": 4}, {\"name\": \"NGE\", \"id\": 5}, {\"name\": \"YEG\", \"id\": 6}, {\"name\": \"KGX\", \"id\": 7}, {\"name\": \"HFA\", \"id\": 8}], \"links\": [{\"weight\": 12142, \"source\": 0, \"target\": 6}, {\"weight\": 15806, \"source\": 0, \"target\": 7}, {\"weight\": 13923, \"source\": 0, \"target\": 3}, {\"weight\": 19317, \"source\": 0, \"target\": 4}, {\"weight\": 6496, \"source\": 0, \"target\": 1}, {\"weight\": 5394, \"source\": 0, \"target\": 8}, {\"weight\": 14802, \"source\": 0, \"target\": 2}, {\"weight\": 8475, \"source\": 0, \"target\": 5}, {\"weight\": 6924, \"source\": 1, \"target\": 6}, {\"weight\": 10800, \"source\": 1, \"target\": 7}, {\"weight\": 8841, \"source\": 1, \"target\": 3}, {\"weight\": 13986, \"source\": 1, \"target\": 4}, {\"weight\": 4313, \"source\": 1, \"target\": 8}, {\"weight\": 9307, \"source\": 1, \"target\": 2}, {\"weight\": 5580, \"source\": 1, \"target\": 5}, {\"weight\": 8920, \"source\": 2, \"target\": 6}, {\"weight\": 11880, \"source\": 2, \"target\": 7}, {\"weight\": 8216, \"source\": 2, \"target\": 3}, {\"weight\": 6711, \"source\": 2, \"target\": 4}, {\"weight\": 11565, \"source\": 2, \"target\": 8}, {\"weight\": 8777, \"source\": 2, \"target\": 5}, {\"weight\": 2178, \"source\": 3, \"target\": 6}, {\"weight\": 4543, \"source\": 3, \"target\": 7}, {\"weight\": 11210, \"source\": 3, \"target\": 4}, {\"weight\": 12827, \"source\": 3, \"target\": 8}, {\"weight\": 13714, \"source\": 3, \"target\": 5}, {\"weight\": 12668, \"source\": 4, \"target\": 6}, {\"weight\": 15554, \"source\": 4, \"target\": 7}, {\"weight\": 15239, \"source\": 4, \"target\": 8}, {\"weight\": 11687, \"source\": 4, \"target\": 5}, {\"weight\": 11967, \"source\": 5, \"target\": 6}, {\"weight\": 15846, \"source\": 5, \"target\": 7}, {\"weight\": 5053, \"source\": 5, \"target\": 8}, {\"weight\": 3883, \"source\": 6, \"target\": 7}, {\"weight\": 10830, \"source\": 6, \"target\": 8}, {\"weight\": 14706, \"source\": 7, \"target\": 8}]}",
"id": 1870,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DZN, HUY, MEU, PSP, PUQ, NGE, YEG, KGX, HFA\n- Travel distances (in kilometers) between each pair of airports:\nDZN to YEG: 12142\nDZN to KGX: 15806\nDZN to PSP: 13923\nDZN to PUQ: 19317\nDZN to HUY: 6496\nDZN to HFA: 5394\nDZN to MEU: 14802\nDZN to NGE: 8475\nHUY to YEG: 6924\nHUY to KGX: 10800\nHUY to PSP: 8841\nHUY to PUQ: 13986\nHUY to HFA: 4313\nHUY to MEU: 9307\nHUY to NGE: 5580\nMEU to YEG: 8920\nMEU to KGX: 11880\nMEU to PSP: 8216\nMEU to PUQ: 6711\nMEU to HFA: 11565\nMEU to NGE: 8777\nPSP to YEG: 2178\nPSP to KGX: 4543\nPSP to PUQ: 11210\nPSP to HFA: 12827\nPSP to NGE: 13714\nPUQ to YEG: 12668\nPUQ to KGX: 15554\nPUQ to HFA: 15239\nPUQ to NGE: 11687\nNGE to YEG: 11967\nNGE to KGX: 15846\nNGE to HFA: 5053\nYEG to KGX: 3883\nYEG to HFA: 10830\nKGX to HFA: 14706\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPE, SOF, RBR, MSW, CCS, OCC, RDU, LUD, KLV\n- Travel distances (in kilometers) between each pair of airports:\nCPE to OCC: 4194\nCPE to CCS: 4473\nCPE to SOF: 11840\nCPE to RDU: 3604\nCPE to RBR: 7056\nCPE to KLV: 12585\nCPE to LUD: 15729\nCPE to MSW: 15156\nSOF to OCC: 11165\nSOF to CCS: 9252\nSOF to RDU: 8256\nSOF to RBR: 11765\nSOF to KLV: 3529\nSOF to LUD: 8336\nSOF to MSW: 3522\nRBR to OCC: 4946\nRBR to CCS: 3160\nRBR to RDU: 6223\nRBR to KLV: 13656\nRBR to LUD: 11464\nRBR to MSW: 13152\nMSW to OCC: 14054\nMSW to CCS: 12137\nMSW to RDU: 11586\nMSW to KLV: 6385\nMSW to LUD: 5656\nCCS to OCC: 1917\nCCS to RDU: 3315\nCCS to KLV: 11126\nCCS to LUD: 13024\nOCC to RDU: 4188\nOCC to KLV: 12785\nOCC to LUD: 13119\nRDU to KLV: 9116\nRDU to LUD: 13089\nLUD to KLV: 11401\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46162,
"style": "rule"
}
|
{
"exact_answer": 46162,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CPE\", \"id\": 0}, {\"name\": \"SOF\", \"id\": 1}, {\"name\": \"RBR\", \"id\": 2}, {\"name\": \"MSW\", \"id\": 3}, {\"name\": \"CCS\", \"id\": 4}, {\"name\": \"OCC\", \"id\": 5}, {\"name\": \"RDU\", \"id\": 6}, {\"name\": \"LUD\", \"id\": 7}, {\"name\": \"KLV\", \"id\": 8}], \"links\": [{\"weight\": 4194, \"source\": 0, \"target\": 5}, {\"weight\": 4473, \"source\": 0, \"target\": 4}, {\"weight\": 11840, \"source\": 0, \"target\": 1}, {\"weight\": 3604, \"source\": 0, \"target\": 6}, {\"weight\": 7056, \"source\": 0, \"target\": 2}, {\"weight\": 12585, \"source\": 0, \"target\": 8}, {\"weight\": 15729, \"source\": 0, \"target\": 7}, {\"weight\": 15156, \"source\": 0, \"target\": 3}, {\"weight\": 11165, \"source\": 1, \"target\": 5}, {\"weight\": 9252, \"source\": 1, \"target\": 4}, {\"weight\": 8256, \"source\": 1, \"target\": 6}, {\"weight\": 11765, \"source\": 1, \"target\": 2}, {\"weight\": 3529, \"source\": 1, \"target\": 8}, {\"weight\": 8336, \"source\": 1, \"target\": 7}, {\"weight\": 3522, \"source\": 1, \"target\": 3}, {\"weight\": 4946, \"source\": 2, \"target\": 5}, {\"weight\": 3160, \"source\": 2, \"target\": 4}, {\"weight\": 6223, \"source\": 2, \"target\": 6}, {\"weight\": 13656, \"source\": 2, \"target\": 8}, {\"weight\": 11464, \"source\": 2, \"target\": 7}, {\"weight\": 13152, \"source\": 2, \"target\": 3}, {\"weight\": 14054, \"source\": 3, \"target\": 5}, {\"weight\": 12137, \"source\": 3, \"target\": 4}, {\"weight\": 11586, \"source\": 3, \"target\": 6}, {\"weight\": 6385, \"source\": 3, \"target\": 8}, {\"weight\": 5656, \"source\": 3, \"target\": 7}, {\"weight\": 1917, \"source\": 4, \"target\": 5}, {\"weight\": 3315, \"source\": 4, \"target\": 6}, {\"weight\": 11126, \"source\": 4, \"target\": 8}, {\"weight\": 13024, \"source\": 4, \"target\": 7}, {\"weight\": 4188, \"source\": 5, \"target\": 6}, {\"weight\": 12785, \"source\": 5, \"target\": 8}, {\"weight\": 13119, \"source\": 5, \"target\": 7}, {\"weight\": 9116, \"source\": 6, \"target\": 8}, {\"weight\": 13089, \"source\": 6, \"target\": 7}, {\"weight\": 11401, \"source\": 7, \"target\": 8}]}",
"id": 1871,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CPE, SOF, RBR, MSW, CCS, OCC, RDU, LUD, KLV\n- Travel distances (in kilometers) between each pair of airports:\nCPE to OCC: 4194\nCPE to CCS: 4473\nCPE to SOF: 11840\nCPE to RDU: 3604\nCPE to RBR: 7056\nCPE to KLV: 12585\nCPE to LUD: 15729\nCPE to MSW: 15156\nSOF to OCC: 11165\nSOF to CCS: 9252\nSOF to RDU: 8256\nSOF to RBR: 11765\nSOF to KLV: 3529\nSOF to LUD: 8336\nSOF to MSW: 3522\nRBR to OCC: 4946\nRBR to CCS: 3160\nRBR to RDU: 6223\nRBR to KLV: 13656\nRBR to LUD: 11464\nRBR to MSW: 13152\nMSW to OCC: 14054\nMSW to CCS: 12137\nMSW to RDU: 11586\nMSW to KLV: 6385\nMSW to LUD: 5656\nCCS to OCC: 1917\nCCS to RDU: 3315\nCCS to KLV: 11126\nCCS to LUD: 13024\nOCC to RDU: 4188\nOCC to KLV: 12785\nOCC to LUD: 13119\nRDU to KLV: 9116\nRDU to LUD: 13089\nLUD to KLV: 11401\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, IBE, ZBL, CBT, FKL, BXU, KHD, STW, AGT\n- Travel distances (in kilometers) between each pair of airports:\nBAL to BXU: 10476\nBAL to IBE: 11963\nBAL to CBT: 7333\nBAL to KHD: 3504\nBAL to AGT: 12549\nBAL to ZBL: 15595\nBAL to STW: 2204\nBAL to FKL: 9743\nIBE to BXU: 17869\nIBE to CBT: 11257\nIBE to KHD: 13278\nIBE to AGT: 4407\nIBE to ZBL: 16733\nIBE to STW: 12037\nIBE to FKL: 4451\nZBL to BXU: 6115\nZBL to CBT: 15090\nZBL to KHD: 13600\nZBL to AGT: 14210\nZBL to STW: 15661\nZBL to FKL: 15416\nCBT to BXU: 13352\nCBT to KHD: 7463\nCBT to AGT: 7812\nCBT to STW: 8011\nCBT to FKL: 11868\nFKL to BXU: 14092\nFKL to KHD: 11093\nFKL to AGT: 8355\nFKL to STW: 9193\nBXU to KHD: 8653\nBXU to AGT: 19481\nBXU to STW: 10222\nKHD to AGT: 13761\nKHD to STW: 4202\nSTW to AGT: 12873\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60573,
"style": "rule"
}
|
{
"exact_answer": 60573,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BAL\", \"id\": 0}, {\"name\": \"IBE\", \"id\": 1}, {\"name\": \"ZBL\", \"id\": 2}, {\"name\": \"CBT\", \"id\": 3}, {\"name\": \"FKL\", \"id\": 4}, {\"name\": \"BXU\", \"id\": 5}, {\"name\": \"KHD\", \"id\": 6}, {\"name\": \"STW\", \"id\": 7}, {\"name\": \"AGT\", \"id\": 8}], \"links\": [{\"weight\": 10476, \"source\": 0, \"target\": 5}, {\"weight\": 11963, \"source\": 0, \"target\": 1}, {\"weight\": 7333, \"source\": 0, \"target\": 3}, {\"weight\": 3504, \"source\": 0, \"target\": 6}, {\"weight\": 12549, \"source\": 0, \"target\": 8}, {\"weight\": 15595, \"source\": 0, \"target\": 2}, {\"weight\": 2204, \"source\": 0, \"target\": 7}, {\"weight\": 9743, \"source\": 0, \"target\": 4}, {\"weight\": 17869, \"source\": 1, \"target\": 5}, {\"weight\": 11257, \"source\": 1, \"target\": 3}, {\"weight\": 13278, \"source\": 1, \"target\": 6}, {\"weight\": 4407, \"source\": 1, \"target\": 8}, {\"weight\": 16733, \"source\": 1, \"target\": 2}, {\"weight\": 12037, \"source\": 1, \"target\": 7}, {\"weight\": 4451, \"source\": 1, \"target\": 4}, {\"weight\": 6115, \"source\": 2, \"target\": 5}, {\"weight\": 15090, \"source\": 2, \"target\": 3}, {\"weight\": 13600, \"source\": 2, \"target\": 6}, {\"weight\": 14210, \"source\": 2, \"target\": 8}, {\"weight\": 15661, \"source\": 2, \"target\": 7}, {\"weight\": 15416, \"source\": 2, \"target\": 4}, {\"weight\": 13352, \"source\": 3, \"target\": 5}, {\"weight\": 7463, \"source\": 3, \"target\": 6}, {\"weight\": 7812, \"source\": 3, \"target\": 8}, {\"weight\": 8011, \"source\": 3, \"target\": 7}, {\"weight\": 11868, \"source\": 3, \"target\": 4}, {\"weight\": 14092, \"source\": 4, \"target\": 5}, {\"weight\": 11093, \"source\": 4, \"target\": 6}, {\"weight\": 8355, \"source\": 4, \"target\": 8}, {\"weight\": 9193, \"source\": 4, \"target\": 7}, {\"weight\": 8653, \"source\": 5, \"target\": 6}, {\"weight\": 19481, \"source\": 5, \"target\": 8}, {\"weight\": 10222, \"source\": 5, \"target\": 7}, {\"weight\": 13761, \"source\": 6, \"target\": 8}, {\"weight\": 4202, \"source\": 6, \"target\": 7}, {\"weight\": 12873, \"source\": 7, \"target\": 8}]}",
"id": 1872,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BAL, IBE, ZBL, CBT, FKL, BXU, KHD, STW, AGT\n- Travel distances (in kilometers) between each pair of airports:\nBAL to BXU: 10476\nBAL to IBE: 11963\nBAL to CBT: 7333\nBAL to KHD: 3504\nBAL to AGT: 12549\nBAL to ZBL: 15595\nBAL to STW: 2204\nBAL to FKL: 9743\nIBE to BXU: 17869\nIBE to CBT: 11257\nIBE to KHD: 13278\nIBE to AGT: 4407\nIBE to ZBL: 16733\nIBE to STW: 12037\nIBE to FKL: 4451\nZBL to BXU: 6115\nZBL to CBT: 15090\nZBL to KHD: 13600\nZBL to AGT: 14210\nZBL to STW: 15661\nZBL to FKL: 15416\nCBT to BXU: 13352\nCBT to KHD: 7463\nCBT to AGT: 7812\nCBT to STW: 8011\nCBT to FKL: 11868\nFKL to BXU: 14092\nFKL to KHD: 11093\nFKL to AGT: 8355\nFKL to STW: 9193\nBXU to KHD: 8653\nBXU to AGT: 19481\nBXU to STW: 10222\nKHD to AGT: 13761\nKHD to STW: 4202\nSTW to AGT: 12873\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CLY, HVB, OTH, IFO, RIA, ASP, FKS, VDB, ANV\n- Travel distances (in kilometers) between each pair of airports:\nCLY to ANV: 11874\nCLY to ASP: 15287\nCLY to RIA: 10532\nCLY to FKS: 10332\nCLY to OTH: 9384\nCLY to VDB: 2111\nCLY to IFO: 2481\nCLY to HVB: 16831\nHVB to ANV: 12889\nHVB to ASP: 2195\nHVB to RIA: 14418\nHVB to FKS: 8382\nHVB to OTH: 12244\nHVB to VDB: 15882\nHVB to IFO: 15300\nOTH to ANV: 3383\nOTH to ASP: 13979\nOTH to RIA: 11509\nOTH to FKS: 9002\nOTH to VDB: 8206\nOTH to IFO: 10202\nIFO to ANV: 12678\nIFO to ASP: 13758\nIFO to RIA: 12728\nIFO to FKS: 8956\nIFO to VDB: 2262\nRIA to ANV: 14271\nRIA to ASP: 15600\nRIA to FKS: 20040\nRIA to VDB: 11908\nASP to ANV: 14624\nASP to FKS: 7816\nASP to VDB: 14342\nFKS to ANV: 11596\nFKS to VDB: 9263\nVDB to ANV: 10682\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61653,
"style": "rule"
}
|
{
"exact_answer": 61653,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"CLY\", \"id\": 0}, {\"name\": \"HVB\", \"id\": 1}, {\"name\": \"OTH\", \"id\": 2}, {\"name\": \"IFO\", \"id\": 3}, {\"name\": \"RIA\", \"id\": 4}, {\"name\": \"ASP\", \"id\": 5}, {\"name\": \"FKS\", \"id\": 6}, {\"name\": \"VDB\", \"id\": 7}, {\"name\": \"ANV\", \"id\": 8}], \"links\": [{\"weight\": 11874, \"source\": 0, \"target\": 8}, {\"weight\": 15287, \"source\": 0, \"target\": 5}, {\"weight\": 10532, \"source\": 0, \"target\": 4}, {\"weight\": 10332, \"source\": 0, \"target\": 6}, {\"weight\": 9384, \"source\": 0, \"target\": 2}, {\"weight\": 2111, \"source\": 0, \"target\": 7}, {\"weight\": 2481, \"source\": 0, \"target\": 3}, {\"weight\": 16831, \"source\": 0, \"target\": 1}, {\"weight\": 12889, \"source\": 1, \"target\": 8}, {\"weight\": 2195, \"source\": 1, \"target\": 5}, {\"weight\": 14418, \"source\": 1, \"target\": 4}, {\"weight\": 8382, \"source\": 1, \"target\": 6}, {\"weight\": 12244, \"source\": 1, \"target\": 2}, {\"weight\": 15882, \"source\": 1, \"target\": 7}, {\"weight\": 15300, \"source\": 1, \"target\": 3}, {\"weight\": 3383, \"source\": 2, \"target\": 8}, {\"weight\": 13979, \"source\": 2, \"target\": 5}, {\"weight\": 11509, \"source\": 2, \"target\": 4}, {\"weight\": 9002, \"source\": 2, \"target\": 6}, {\"weight\": 8206, \"source\": 2, \"target\": 7}, {\"weight\": 10202, \"source\": 2, \"target\": 3}, {\"weight\": 12678, \"source\": 3, \"target\": 8}, {\"weight\": 13758, \"source\": 3, \"target\": 5}, {\"weight\": 12728, \"source\": 3, \"target\": 4}, {\"weight\": 8956, \"source\": 3, \"target\": 6}, {\"weight\": 2262, \"source\": 3, \"target\": 7}, {\"weight\": 14271, \"source\": 4, \"target\": 8}, {\"weight\": 15600, \"source\": 4, \"target\": 5}, {\"weight\": 20040, \"source\": 4, \"target\": 6}, {\"weight\": 11908, \"source\": 4, \"target\": 7}, {\"weight\": 14624, \"source\": 5, \"target\": 8}, {\"weight\": 7816, \"source\": 5, \"target\": 6}, {\"weight\": 14342, \"source\": 5, \"target\": 7}, {\"weight\": 11596, \"source\": 6, \"target\": 8}, {\"weight\": 9263, \"source\": 6, \"target\": 7}, {\"weight\": 10682, \"source\": 7, \"target\": 8}]}",
"id": 1873,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: CLY, HVB, OTH, IFO, RIA, ASP, FKS, VDB, ANV\n- Travel distances (in kilometers) between each pair of airports:\nCLY to ANV: 11874\nCLY to ASP: 15287\nCLY to RIA: 10532\nCLY to FKS: 10332\nCLY to OTH: 9384\nCLY to VDB: 2111\nCLY to IFO: 2481\nCLY to HVB: 16831\nHVB to ANV: 12889\nHVB to ASP: 2195\nHVB to RIA: 14418\nHVB to FKS: 8382\nHVB to OTH: 12244\nHVB to VDB: 15882\nHVB to IFO: 15300\nOTH to ANV: 3383\nOTH to ASP: 13979\nOTH to RIA: 11509\nOTH to FKS: 9002\nOTH to VDB: 8206\nOTH to IFO: 10202\nIFO to ANV: 12678\nIFO to ASP: 13758\nIFO to RIA: 12728\nIFO to FKS: 8956\nIFO to VDB: 2262\nRIA to ANV: 14271\nRIA to ASP: 15600\nRIA to FKS: 20040\nRIA to VDB: 11908\nASP to ANV: 14624\nASP to FKS: 7816\nASP to VDB: 14342\nFKS to ANV: 11596\nFKS to VDB: 9263\nVDB to ANV: 10682\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PQI, LBP, VCE, CTM, KZI, TAI, VDH, MGF, BJV\n- Travel distances (in kilometers) between each pair of airports:\nPQI to CTM: 5331\nPQI to VCE: 6903\nPQI to BJV: 8480\nPQI to MGF: 8833\nPQI to TAI: 11497\nPQI to KZI: 8494\nPQI to LBP: 15921\nPQI to VDH: 14562\nLBP to CTM: 16949\nLBP to VCE: 11117\nLBP to BJV: 9966\nLBP to MGF: 18025\nLBP to TAI: 8468\nLBP to KZI: 10493\nLBP to VDH: 3201\nVCE to CTM: 11165\nVCE to BJV: 1682\nVCE to MGF: 10262\nVCE to TAI: 4628\nVCE to KZI: 1593\nVCE to VDH: 9212\nCTM to BJV: 12735\nCTM to MGF: 8950\nCTM to TAI: 15749\nCTM to KZI: 12748\nCTM to VDH: 16322\nKZI to BJV: 725\nKZI to MGF: 11338\nKZI to TAI: 3671\nKZI to VDH: 9133\nTAI to BJV: 3628\nTAI to MGF: 11371\nTAI to VDH: 7497\nVDH to BJV: 8632\nVDH to MGF: 18310\nMGF to BJV: 11427\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55174,
"style": "rule"
}
|
{
"exact_answer": 55174,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PQI\", \"id\": 0}, {\"name\": \"LBP\", \"id\": 1}, {\"name\": \"VCE\", \"id\": 2}, {\"name\": \"CTM\", \"id\": 3}, {\"name\": \"KZI\", \"id\": 4}, {\"name\": \"TAI\", \"id\": 5}, {\"name\": \"VDH\", \"id\": 6}, {\"name\": \"MGF\", \"id\": 7}, {\"name\": \"BJV\", \"id\": 8}], \"links\": [{\"weight\": 5331, \"source\": 0, \"target\": 3}, {\"weight\": 6903, \"source\": 0, \"target\": 2}, {\"weight\": 8480, \"source\": 0, \"target\": 8}, {\"weight\": 8833, \"source\": 0, \"target\": 7}, {\"weight\": 11497, \"source\": 0, \"target\": 5}, {\"weight\": 8494, \"source\": 0, \"target\": 4}, {\"weight\": 15921, \"source\": 0, \"target\": 1}, {\"weight\": 14562, \"source\": 0, \"target\": 6}, {\"weight\": 16949, \"source\": 1, \"target\": 3}, {\"weight\": 11117, \"source\": 1, \"target\": 2}, {\"weight\": 9966, \"source\": 1, \"target\": 8}, {\"weight\": 18025, \"source\": 1, \"target\": 7}, {\"weight\": 8468, \"source\": 1, \"target\": 5}, {\"weight\": 10493, \"source\": 1, \"target\": 4}, {\"weight\": 3201, \"source\": 1, \"target\": 6}, {\"weight\": 11165, \"source\": 2, \"target\": 3}, {\"weight\": 1682, \"source\": 2, \"target\": 8}, {\"weight\": 10262, \"source\": 2, \"target\": 7}, {\"weight\": 4628, \"source\": 2, \"target\": 5}, {\"weight\": 1593, \"source\": 2, \"target\": 4}, {\"weight\": 9212, \"source\": 2, \"target\": 6}, {\"weight\": 12735, \"source\": 3, \"target\": 8}, {\"weight\": 8950, \"source\": 3, \"target\": 7}, {\"weight\": 15749, \"source\": 3, \"target\": 5}, {\"weight\": 12748, \"source\": 3, \"target\": 4}, {\"weight\": 16322, \"source\": 3, \"target\": 6}, {\"weight\": 725, \"source\": 4, \"target\": 8}, {\"weight\": 11338, \"source\": 4, \"target\": 7}, {\"weight\": 3671, \"source\": 4, \"target\": 5}, {\"weight\": 9133, \"source\": 4, \"target\": 6}, {\"weight\": 3628, \"source\": 5, \"target\": 8}, {\"weight\": 11371, \"source\": 5, \"target\": 7}, {\"weight\": 7497, \"source\": 5, \"target\": 6}, {\"weight\": 8632, \"source\": 6, \"target\": 8}, {\"weight\": 18310, \"source\": 6, \"target\": 7}, {\"weight\": 11427, \"source\": 7, \"target\": 8}]}",
"id": 1874,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PQI, LBP, VCE, CTM, KZI, TAI, VDH, MGF, BJV\n- Travel distances (in kilometers) between each pair of airports:\nPQI to CTM: 5331\nPQI to VCE: 6903\nPQI to BJV: 8480\nPQI to MGF: 8833\nPQI to TAI: 11497\nPQI to KZI: 8494\nPQI to LBP: 15921\nPQI to VDH: 14562\nLBP to CTM: 16949\nLBP to VCE: 11117\nLBP to BJV: 9966\nLBP to MGF: 18025\nLBP to TAI: 8468\nLBP to KZI: 10493\nLBP to VDH: 3201\nVCE to CTM: 11165\nVCE to BJV: 1682\nVCE to MGF: 10262\nVCE to TAI: 4628\nVCE to KZI: 1593\nVCE to VDH: 9212\nCTM to BJV: 12735\nCTM to MGF: 8950\nCTM to TAI: 15749\nCTM to KZI: 12748\nCTM to VDH: 16322\nKZI to BJV: 725\nKZI to MGF: 11338\nKZI to TAI: 3671\nKZI to VDH: 9133\nTAI to BJV: 3628\nTAI to MGF: 11371\nTAI to VDH: 7497\nVDH to BJV: 8632\nVDH to MGF: 18310\nMGF to BJV: 11427\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FMM, KWJ, GBT, NER, MUB, NYK, USK, GHB, YPH\n- Travel distances (in kilometers) between each pair of airports:\nFMM to YPH: 7504\nFMM to GHB: 8229\nFMM to USK: 3414\nFMM to MUB: 9158\nFMM to GBT: 4015\nFMM to NYK: 6933\nFMM to KWJ: 9105\nFMM to NER: 7174\nKWJ to YPH: 12412\nKWJ to GHB: 13370\nKWJ to USK: 6925\nKWJ to MUB: 13116\nKWJ to GBT: 6615\nKWJ to NYK: 10765\nKWJ to NER: 3197\nGBT to YPH: 10998\nGBT to GHB: 11959\nGBT to USK: 4586\nGBT to MUB: 7530\nGBT to NYK: 4958\nGBT to NER: 5860\nNER to YPH: 13576\nNER to GHB: 14227\nNER to USK: 5591\nNER to MUB: 12851\nNER to NYK: 10206\nMUB to YPH: 14474\nMUB to GHB: 13888\nMUB to USK: 10809\nMUB to NYK: 3221\nNYK to YPH: 13585\nNYK to GHB: 14546\nNYK to USK: 8497\nUSK to YPH: 9790\nUSK to GHB: 10294\nGHB to YPH: 3895\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52283,
"style": "rule"
}
|
{
"exact_answer": 52283,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FMM\", \"id\": 0}, {\"name\": \"KWJ\", \"id\": 1}, {\"name\": \"GBT\", \"id\": 2}, {\"name\": \"NER\", \"id\": 3}, {\"name\": \"MUB\", \"id\": 4}, {\"name\": \"NYK\", \"id\": 5}, {\"name\": \"USK\", \"id\": 6}, {\"name\": \"GHB\", \"id\": 7}, {\"name\": \"YPH\", \"id\": 8}], \"links\": [{\"weight\": 7504, \"source\": 0, \"target\": 8}, {\"weight\": 8229, \"source\": 0, \"target\": 7}, {\"weight\": 3414, \"source\": 0, \"target\": 6}, {\"weight\": 9158, \"source\": 0, \"target\": 4}, {\"weight\": 4015, \"source\": 0, \"target\": 2}, {\"weight\": 6933, \"source\": 0, \"target\": 5}, {\"weight\": 9105, \"source\": 0, \"target\": 1}, {\"weight\": 7174, \"source\": 0, \"target\": 3}, {\"weight\": 12412, \"source\": 1, \"target\": 8}, {\"weight\": 13370, \"source\": 1, \"target\": 7}, {\"weight\": 6925, \"source\": 1, \"target\": 6}, {\"weight\": 13116, \"source\": 1, \"target\": 4}, {\"weight\": 6615, \"source\": 1, \"target\": 2}, {\"weight\": 10765, \"source\": 1, \"target\": 5}, {\"weight\": 3197, \"source\": 1, \"target\": 3}, {\"weight\": 10998, \"source\": 2, \"target\": 8}, {\"weight\": 11959, \"source\": 2, \"target\": 7}, {\"weight\": 4586, \"source\": 2, \"target\": 6}, {\"weight\": 7530, \"source\": 2, \"target\": 4}, {\"weight\": 4958, \"source\": 2, \"target\": 5}, {\"weight\": 5860, \"source\": 2, \"target\": 3}, {\"weight\": 13576, \"source\": 3, \"target\": 8}, {\"weight\": 14227, \"source\": 3, \"target\": 7}, {\"weight\": 5591, \"source\": 3, \"target\": 6}, {\"weight\": 12851, \"source\": 3, \"target\": 4}, {\"weight\": 10206, \"source\": 3, \"target\": 5}, {\"weight\": 14474, \"source\": 4, \"target\": 8}, {\"weight\": 13888, \"source\": 4, \"target\": 7}, {\"weight\": 10809, \"source\": 4, \"target\": 6}, {\"weight\": 3221, \"source\": 4, \"target\": 5}, {\"weight\": 13585, \"source\": 5, \"target\": 8}, {\"weight\": 14546, \"source\": 5, \"target\": 7}, {\"weight\": 8497, \"source\": 5, \"target\": 6}, {\"weight\": 9790, \"source\": 6, \"target\": 8}, {\"weight\": 10294, \"source\": 6, \"target\": 7}, {\"weight\": 3895, \"source\": 7, \"target\": 8}]}",
"id": 1875,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FMM, KWJ, GBT, NER, MUB, NYK, USK, GHB, YPH\n- Travel distances (in kilometers) between each pair of airports:\nFMM to YPH: 7504\nFMM to GHB: 8229\nFMM to USK: 3414\nFMM to MUB: 9158\nFMM to GBT: 4015\nFMM to NYK: 6933\nFMM to KWJ: 9105\nFMM to NER: 7174\nKWJ to YPH: 12412\nKWJ to GHB: 13370\nKWJ to USK: 6925\nKWJ to MUB: 13116\nKWJ to GBT: 6615\nKWJ to NYK: 10765\nKWJ to NER: 3197\nGBT to YPH: 10998\nGBT to GHB: 11959\nGBT to USK: 4586\nGBT to MUB: 7530\nGBT to NYK: 4958\nGBT to NER: 5860\nNER to YPH: 13576\nNER to GHB: 14227\nNER to USK: 5591\nNER to MUB: 12851\nNER to NYK: 10206\nMUB to YPH: 14474\nMUB to GHB: 13888\nMUB to USK: 10809\nMUB to NYK: 3221\nNYK to YPH: 13585\nNYK to GHB: 14546\nNYK to USK: 8497\nUSK to YPH: 9790\nUSK to GHB: 10294\nGHB to YPH: 3895\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HRL, GOJ, GIB, YGP, LCY, ESB, YTZ, INH, LLF\n- Travel distances (in kilometers) between each pair of airports:\nHRL to GIB: 9950\nHRL to LCY: 8273\nHRL to YGP: 3816\nHRL to YTZ: 2666\nHRL to LLF: 13376\nHRL to ESB: 11061\nHRL to GOJ: 10385\nHRL to INH: 15909\nGOJ to GIB: 4620\nGOJ to LCY: 2874\nGOJ to YGP: 8701\nGOJ to YTZ: 8282\nGOJ to LLF: 6696\nGOJ to ESB: 2159\nGOJ to INH: 9827\nGIB to LCY: 2276\nGIB to YGP: 7667\nGIB to YTZ: 7442\nGIB to LLF: 11003\nGIB to ESB: 4542\nGIB to INH: 11525\nYGP to LCY: 6481\nYGP to YTZ: 1279\nYGP to LLF: 13417\nYGP to ESB: 8437\nYGP to INH: 14753\nLCY to YTZ: 5976\nLCY to LLF: 9260\nLCY to ESB: 2816\nLCY to INH: 9942\nESB to YTZ: 8530\nESB to LLF: 7610\nESB to INH: 7854\nYTZ to LLF: 12763\nYTZ to INH: 14248\nINH to LLF: 11602\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51753,
"style": "rule"
}
|
{
"exact_answer": 51753,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"HRL\", \"id\": 0}, {\"name\": \"GOJ\", \"id\": 1}, {\"name\": \"GIB\", \"id\": 2}, {\"name\": \"YGP\", \"id\": 3}, {\"name\": \"LCY\", \"id\": 4}, {\"name\": \"ESB\", \"id\": 5}, {\"name\": \"YTZ\", \"id\": 6}, {\"name\": \"INH\", \"id\": 7}, {\"name\": \"LLF\", \"id\": 8}], \"links\": [{\"weight\": 9950, \"source\": 0, \"target\": 2}, {\"weight\": 8273, \"source\": 0, \"target\": 4}, {\"weight\": 3816, \"source\": 0, \"target\": 3}, {\"weight\": 2666, \"source\": 0, \"target\": 6}, {\"weight\": 13376, \"source\": 0, \"target\": 8}, {\"weight\": 11061, \"source\": 0, \"target\": 5}, {\"weight\": 10385, \"source\": 0, \"target\": 1}, {\"weight\": 15909, \"source\": 0, \"target\": 7}, {\"weight\": 4620, \"source\": 1, \"target\": 2}, {\"weight\": 2874, \"source\": 1, \"target\": 4}, {\"weight\": 8701, \"source\": 1, \"target\": 3}, {\"weight\": 8282, \"source\": 1, \"target\": 6}, {\"weight\": 6696, \"source\": 1, \"target\": 8}, {\"weight\": 2159, \"source\": 1, \"target\": 5}, {\"weight\": 9827, \"source\": 1, \"target\": 7}, {\"weight\": 2276, \"source\": 2, \"target\": 4}, {\"weight\": 7667, \"source\": 2, \"target\": 3}, {\"weight\": 7442, \"source\": 2, \"target\": 6}, {\"weight\": 11003, \"source\": 2, \"target\": 8}, {\"weight\": 4542, \"source\": 2, \"target\": 5}, {\"weight\": 11525, \"source\": 2, \"target\": 7}, {\"weight\": 6481, \"source\": 3, \"target\": 4}, {\"weight\": 1279, \"source\": 3, \"target\": 6}, {\"weight\": 13417, \"source\": 3, \"target\": 8}, {\"weight\": 8437, \"source\": 3, \"target\": 5}, {\"weight\": 14753, \"source\": 3, \"target\": 7}, {\"weight\": 5976, \"source\": 4, \"target\": 6}, {\"weight\": 9260, \"source\": 4, \"target\": 8}, {\"weight\": 2816, \"source\": 4, \"target\": 5}, {\"weight\": 9942, \"source\": 4, \"target\": 7}, {\"weight\": 8530, \"source\": 5, \"target\": 6}, {\"weight\": 7610, \"source\": 5, \"target\": 8}, {\"weight\": 7854, \"source\": 5, \"target\": 7}, {\"weight\": 12763, \"source\": 6, \"target\": 8}, {\"weight\": 14248, \"source\": 6, \"target\": 7}, {\"weight\": 11602, \"source\": 7, \"target\": 8}]}",
"id": 1876,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: HRL, GOJ, GIB, YGP, LCY, ESB, YTZ, INH, LLF\n- Travel distances (in kilometers) between each pair of airports:\nHRL to GIB: 9950\nHRL to LCY: 8273\nHRL to YGP: 3816\nHRL to YTZ: 2666\nHRL to LLF: 13376\nHRL to ESB: 11061\nHRL to GOJ: 10385\nHRL to INH: 15909\nGOJ to GIB: 4620\nGOJ to LCY: 2874\nGOJ to YGP: 8701\nGOJ to YTZ: 8282\nGOJ to LLF: 6696\nGOJ to ESB: 2159\nGOJ to INH: 9827\nGIB to LCY: 2276\nGIB to YGP: 7667\nGIB to YTZ: 7442\nGIB to LLF: 11003\nGIB to ESB: 4542\nGIB to INH: 11525\nYGP to LCY: 6481\nYGP to YTZ: 1279\nYGP to LLF: 13417\nYGP to ESB: 8437\nYGP to INH: 14753\nLCY to YTZ: 5976\nLCY to LLF: 9260\nLCY to ESB: 2816\nLCY to INH: 9942\nESB to YTZ: 8530\nESB to LLF: 7610\nESB to INH: 7854\nYTZ to LLF: 12763\nYTZ to INH: 14248\nINH to LLF: 11602\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TTN, MGS, SGY, BUR, SLH, RSA, BHJ, LAN, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nTTN to LAN: 864\nTTN to BHJ: 14030\nTTN to BUR: 3889\nTTN to SRQ: 1660\nTTN to RSA: 9524\nTTN to MGS: 11635\nTTN to SGY: 5424\nTTN to SLH: 14205\nMGS to LAN: 10831\nMGS to BHJ: 15975\nMGS to BUR: 8369\nMGS to SRQ: 11585\nMGS to RSA: 11073\nMGS to SGY: 10869\nMGS to SLH: 5918\nSGY to LAN: 4562\nSGY to BHJ: 15626\nSGY to BUR: 3098\nSGY to SRQ: 5809\nSGY to RSA: 13375\nSGY to SLH: 12047\nBUR to LAN: 3075\nBUR to BHJ: 15376\nBUR to SRQ: 3857\nBUR to RSA: 10597\nBUR to SLH: 10890\nSLH to LAN: 13401\nSLH to BHJ: 12573\nSLH to SRQ: 14155\nSLH to RSA: 14070\nRSA to LAN: 9723\nRSA to BHJ: 16602\nRSA to SRQ: 9468\nBHJ to LAN: 13578\nBHJ to SRQ: 14808\nLAN to SRQ: 1732\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63114,
"style": "rule"
}
|
{
"exact_answer": 63114,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"TTN\", \"id\": 0}, {\"name\": \"MGS\", \"id\": 1}, {\"name\": \"SGY\", \"id\": 2}, {\"name\": \"BUR\", \"id\": 3}, {\"name\": \"SLH\", \"id\": 4}, {\"name\": \"RSA\", \"id\": 5}, {\"name\": \"BHJ\", \"id\": 6}, {\"name\": \"LAN\", \"id\": 7}, {\"name\": \"SRQ\", \"id\": 8}], \"links\": [{\"weight\": 864, \"source\": 0, \"target\": 7}, {\"weight\": 14030, \"source\": 0, \"target\": 6}, {\"weight\": 3889, \"source\": 0, \"target\": 3}, {\"weight\": 1660, \"source\": 0, \"target\": 8}, {\"weight\": 9524, \"source\": 0, \"target\": 5}, {\"weight\": 11635, \"source\": 0, \"target\": 1}, {\"weight\": 5424, \"source\": 0, \"target\": 2}, {\"weight\": 14205, \"source\": 0, \"target\": 4}, {\"weight\": 10831, \"source\": 1, \"target\": 7}, {\"weight\": 15975, \"source\": 1, \"target\": 6}, {\"weight\": 8369, \"source\": 1, \"target\": 3}, {\"weight\": 11585, \"source\": 1, \"target\": 8}, {\"weight\": 11073, \"source\": 1, \"target\": 5}, {\"weight\": 10869, \"source\": 1, \"target\": 2}, {\"weight\": 5918, \"source\": 1, \"target\": 4}, {\"weight\": 4562, \"source\": 2, \"target\": 7}, {\"weight\": 15626, \"source\": 2, \"target\": 6}, {\"weight\": 3098, \"source\": 2, \"target\": 3}, {\"weight\": 5809, \"source\": 2, \"target\": 8}, {\"weight\": 13375, \"source\": 2, \"target\": 5}, {\"weight\": 12047, \"source\": 2, \"target\": 4}, {\"weight\": 3075, \"source\": 3, \"target\": 7}, {\"weight\": 15376, \"source\": 3, \"target\": 6}, {\"weight\": 3857, \"source\": 3, \"target\": 8}, {\"weight\": 10597, \"source\": 3, \"target\": 5}, {\"weight\": 10890, \"source\": 3, \"target\": 4}, {\"weight\": 13401, \"source\": 4, \"target\": 7}, {\"weight\": 12573, \"source\": 4, \"target\": 6}, {\"weight\": 14155, \"source\": 4, \"target\": 8}, {\"weight\": 14070, \"source\": 4, \"target\": 5}, {\"weight\": 9723, \"source\": 5, \"target\": 7}, {\"weight\": 16602, \"source\": 5, \"target\": 6}, {\"weight\": 9468, \"source\": 5, \"target\": 8}, {\"weight\": 13578, \"source\": 6, \"target\": 7}, {\"weight\": 14808, \"source\": 6, \"target\": 8}, {\"weight\": 1732, \"source\": 7, \"target\": 8}]}",
"id": 1877,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: TTN, MGS, SGY, BUR, SLH, RSA, BHJ, LAN, SRQ\n- Travel distances (in kilometers) between each pair of airports:\nTTN to LAN: 864\nTTN to BHJ: 14030\nTTN to BUR: 3889\nTTN to SRQ: 1660\nTTN to RSA: 9524\nTTN to MGS: 11635\nTTN to SGY: 5424\nTTN to SLH: 14205\nMGS to LAN: 10831\nMGS to BHJ: 15975\nMGS to BUR: 8369\nMGS to SRQ: 11585\nMGS to RSA: 11073\nMGS to SGY: 10869\nMGS to SLH: 5918\nSGY to LAN: 4562\nSGY to BHJ: 15626\nSGY to BUR: 3098\nSGY to SRQ: 5809\nSGY to RSA: 13375\nSGY to SLH: 12047\nBUR to LAN: 3075\nBUR to BHJ: 15376\nBUR to SRQ: 3857\nBUR to RSA: 10597\nBUR to SLH: 10890\nSLH to LAN: 13401\nSLH to BHJ: 12573\nSLH to SRQ: 14155\nSLH to RSA: 14070\nRSA to LAN: 9723\nRSA to BHJ: 16602\nRSA to SRQ: 9468\nBHJ to LAN: 13578\nBHJ to SRQ: 14808\nLAN to SRQ: 1732\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLB, WBQ, YQX, ADD, GRU, GYN, HFE, YKS, STL\n- Travel distances (in kilometers) between each pair of airports:\nOLB to YKS: 7385\nOLB to GRU: 9580\nOLB to GYN: 9156\nOLB to STL: 8015\nOLB to HFE: 9255\nOLB to WBQ: 11735\nOLB to ADD: 4729\nOLB to YQX: 5313\nWBQ to YKS: 13315\nWBQ to GRU: 13544\nWBQ to GYN: 12983\nWBQ to STL: 5354\nWBQ to HFE: 12055\nWBQ to ADD: 16180\nWBQ to YQX: 7775\nYQX to YKS: 10867\nYQX to GRU: 9065\nYQX to GYN: 8687\nYQX to STL: 3152\nYQX to HFE: 12989\nYQX to ADD: 9833\nADD to YKS: 9258\nADD to GRU: 9990\nADD to GYN: 10585\nADD to STL: 12551\nADD to HFE: 8474\nGRU to GYN: 809\nGRU to YKS: 16377\nGRU to STL: 8288\nGRU to HFE: 18199\nGYN to YKS: 15892\nGYN to STL: 7670\nGYN to HFE: 18005\nHFE to YKS: 3527\nHFE to STL: 11900\nYKS to STL: 12802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55688,
"style": "rule"
}
|
{
"exact_answer": 55688,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"OLB\", \"id\": 0}, {\"name\": \"WBQ\", \"id\": 1}, {\"name\": \"YQX\", \"id\": 2}, {\"name\": \"ADD\", \"id\": 3}, {\"name\": \"GRU\", \"id\": 4}, {\"name\": \"GYN\", \"id\": 5}, {\"name\": \"HFE\", \"id\": 6}, {\"name\": \"YKS\", \"id\": 7}, {\"name\": \"STL\", \"id\": 8}], \"links\": [{\"weight\": 7385, \"source\": 0, \"target\": 7}, {\"weight\": 9580, \"source\": 0, \"target\": 4}, {\"weight\": 9156, \"source\": 0, \"target\": 5}, {\"weight\": 8015, \"source\": 0, \"target\": 8}, {\"weight\": 9255, \"source\": 0, \"target\": 6}, {\"weight\": 11735, \"source\": 0, \"target\": 1}, {\"weight\": 4729, \"source\": 0, \"target\": 3}, {\"weight\": 5313, \"source\": 0, \"target\": 2}, {\"weight\": 13315, \"source\": 1, \"target\": 7}, {\"weight\": 13544, \"source\": 1, \"target\": 4}, {\"weight\": 12983, \"source\": 1, \"target\": 5}, {\"weight\": 5354, \"source\": 1, \"target\": 8}, {\"weight\": 12055, \"source\": 1, \"target\": 6}, {\"weight\": 16180, \"source\": 1, \"target\": 3}, {\"weight\": 7775, \"source\": 1, \"target\": 2}, {\"weight\": 10867, \"source\": 2, \"target\": 7}, {\"weight\": 9065, \"source\": 2, \"target\": 4}, {\"weight\": 8687, \"source\": 2, \"target\": 5}, {\"weight\": 3152, \"source\": 2, \"target\": 8}, {\"weight\": 12989, \"source\": 2, \"target\": 6}, {\"weight\": 9833, \"source\": 2, \"target\": 3}, {\"weight\": 9258, \"source\": 3, \"target\": 7}, {\"weight\": 9990, \"source\": 3, \"target\": 4}, {\"weight\": 10585, \"source\": 3, \"target\": 5}, {\"weight\": 12551, \"source\": 3, \"target\": 8}, {\"weight\": 8474, \"source\": 3, \"target\": 6}, {\"weight\": 809, \"source\": 4, \"target\": 5}, {\"weight\": 16377, \"source\": 4, \"target\": 7}, {\"weight\": 8288, \"source\": 4, \"target\": 8}, {\"weight\": 18199, \"source\": 4, \"target\": 6}, {\"weight\": 15892, \"source\": 5, \"target\": 7}, {\"weight\": 7670, \"source\": 5, \"target\": 8}, {\"weight\": 18005, \"source\": 5, \"target\": 6}, {\"weight\": 3527, \"source\": 6, \"target\": 7}, {\"weight\": 11900, \"source\": 6, \"target\": 8}, {\"weight\": 12802, \"source\": 7, \"target\": 8}]}",
"id": 1878,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: OLB, WBQ, YQX, ADD, GRU, GYN, HFE, YKS, STL\n- Travel distances (in kilometers) between each pair of airports:\nOLB to YKS: 7385\nOLB to GRU: 9580\nOLB to GYN: 9156\nOLB to STL: 8015\nOLB to HFE: 9255\nOLB to WBQ: 11735\nOLB to ADD: 4729\nOLB to YQX: 5313\nWBQ to YKS: 13315\nWBQ to GRU: 13544\nWBQ to GYN: 12983\nWBQ to STL: 5354\nWBQ to HFE: 12055\nWBQ to ADD: 16180\nWBQ to YQX: 7775\nYQX to YKS: 10867\nYQX to GRU: 9065\nYQX to GYN: 8687\nYQX to STL: 3152\nYQX to HFE: 12989\nYQX to ADD: 9833\nADD to YKS: 9258\nADD to GRU: 9990\nADD to GYN: 10585\nADD to STL: 12551\nADD to HFE: 8474\nGRU to GYN: 809\nGRU to YKS: 16377\nGRU to STL: 8288\nGRU to HFE: 18199\nGYN to YKS: 15892\nGYN to STL: 7670\nGYN to HFE: 18005\nHFE to YKS: 3527\nHFE to STL: 11900\nYKS to STL: 12802\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LYA, CCK, BSS, CLQ, NDB, SJC, RMF, LGQ, BGA\n- Travel distances (in kilometers) between each pair of airports:\nLYA to RMF: 8695\nLYA to SJC: 10499\nLYA to CLQ: 13579\nLYA to BGA: 15701\nLYA to LGQ: 16224\nLYA to NDB: 12465\nLYA to BSS: 17369\nLYA to CCK: 11020\nCCK to RMF: 15575\nCCK to SJC: 18641\nCCK to CLQ: 21708\nCCK to BGA: 22752\nCCK to LGQ: 22178\nCCK to NDB: 19120\nCCK to BSS: 21620\nBSS to RMF: 10938\nBSS to SJC: 9399\nBSS to CLQ: 7278\nBSS to BGA: 4544\nBSS to LGQ: 5159\nBSS to NDB: 5445\nCLQ to RMF: 13441\nCLQ to SJC: 3464\nCLQ to BGA: 3598\nCLQ to LGQ: 3779\nCLQ to NDB: 10305\nNDB to RMF: 6033\nNDB to SJC: 10455\nNDB to BGA: 7839\nNDB to LGQ: 8454\nSJC to RMF: 12825\nSJC to BGA: 6031\nSJC to LGQ: 6299\nRMF to BGA: 12205\nRMF to LGQ: 12820\nLGQ to BGA: 1193\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61552,
"style": "rule"
}
|
{
"exact_answer": 61552,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LYA\", \"id\": 0}, {\"name\": \"CCK\", \"id\": 1}, {\"name\": \"BSS\", \"id\": 2}, {\"name\": \"CLQ\", \"id\": 3}, {\"name\": \"NDB\", \"id\": 4}, {\"name\": \"SJC\", \"id\": 5}, {\"name\": \"RMF\", \"id\": 6}, {\"name\": \"LGQ\", \"id\": 7}, {\"name\": \"BGA\", \"id\": 8}], \"links\": [{\"weight\": 8695, \"source\": 0, \"target\": 6}, {\"weight\": 10499, \"source\": 0, \"target\": 5}, {\"weight\": 13579, \"source\": 0, \"target\": 3}, {\"weight\": 15701, \"source\": 0, \"target\": 8}, {\"weight\": 16224, \"source\": 0, \"target\": 7}, {\"weight\": 12465, \"source\": 0, \"target\": 4}, {\"weight\": 17369, \"source\": 0, \"target\": 2}, {\"weight\": 11020, \"source\": 0, \"target\": 1}, {\"weight\": 15575, \"source\": 1, \"target\": 6}, {\"weight\": 18641, \"source\": 1, \"target\": 5}, {\"weight\": 21708, \"source\": 1, \"target\": 3}, {\"weight\": 22752, \"source\": 1, \"target\": 8}, {\"weight\": 22178, \"source\": 1, \"target\": 7}, {\"weight\": 19120, \"source\": 1, \"target\": 4}, {\"weight\": 21620, \"source\": 1, \"target\": 2}, {\"weight\": 10938, \"source\": 2, \"target\": 6}, {\"weight\": 9399, \"source\": 2, \"target\": 5}, {\"weight\": 7278, \"source\": 2, \"target\": 3}, {\"weight\": 4544, \"source\": 2, \"target\": 8}, {\"weight\": 5159, \"source\": 2, \"target\": 7}, {\"weight\": 5445, \"source\": 2, \"target\": 4}, {\"weight\": 13441, \"source\": 3, \"target\": 6}, {\"weight\": 3464, \"source\": 3, \"target\": 5}, {\"weight\": 3598, \"source\": 3, \"target\": 8}, {\"weight\": 3779, \"source\": 3, \"target\": 7}, {\"weight\": 10305, \"source\": 3, \"target\": 4}, {\"weight\": 6033, \"source\": 4, \"target\": 6}, {\"weight\": 10455, \"source\": 4, \"target\": 5}, {\"weight\": 7839, \"source\": 4, \"target\": 8}, {\"weight\": 8454, \"source\": 4, \"target\": 7}, {\"weight\": 12825, \"source\": 5, \"target\": 6}, {\"weight\": 6031, \"source\": 5, \"target\": 8}, {\"weight\": 6299, \"source\": 5, \"target\": 7}, {\"weight\": 12205, \"source\": 6, \"target\": 8}, {\"weight\": 12820, \"source\": 6, \"target\": 7}, {\"weight\": 1193, \"source\": 7, \"target\": 8}]}",
"id": 1879,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LYA, CCK, BSS, CLQ, NDB, SJC, RMF, LGQ, BGA\n- Travel distances (in kilometers) between each pair of airports:\nLYA to RMF: 8695\nLYA to SJC: 10499\nLYA to CLQ: 13579\nLYA to BGA: 15701\nLYA to LGQ: 16224\nLYA to NDB: 12465\nLYA to BSS: 17369\nLYA to CCK: 11020\nCCK to RMF: 15575\nCCK to SJC: 18641\nCCK to CLQ: 21708\nCCK to BGA: 22752\nCCK to LGQ: 22178\nCCK to NDB: 19120\nCCK to BSS: 21620\nBSS to RMF: 10938\nBSS to SJC: 9399\nBSS to CLQ: 7278\nBSS to BGA: 4544\nBSS to LGQ: 5159\nBSS to NDB: 5445\nCLQ to RMF: 13441\nCLQ to SJC: 3464\nCLQ to BGA: 3598\nCLQ to LGQ: 3779\nCLQ to NDB: 10305\nNDB to RMF: 6033\nNDB to SJC: 10455\nNDB to BGA: 7839\nNDB to LGQ: 8454\nSJC to RMF: 12825\nSJC to BGA: 6031\nSJC to LGQ: 6299\nRMF to BGA: 12205\nRMF to LGQ: 12820\nLGQ to BGA: 1193\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FLG, ROC, ABD, KBP, YEK, BUN, ALB, MMB, JSY\n- Travel distances (in kilometers) between each pair of airports:\nFLG to YEK: 3684\nFLG to ALB: 3660\nFLG to BUN: 5631\nFLG to KBP: 10320\nFLG to JSY: 11168\nFLG to ROC: 3350\nFLG to ABD: 13712\nFLG to MMB: 10486\nROC to YEK: 2937\nROC to ALB: 625\nROC to BUN: 4617\nROC to KBP: 7773\nROC to JSY: 8297\nROC to ABD: 11003\nROC to MMB: 11489\nABD to YEK: 12802\nABD to ALB: 10685\nABD to BUN: 13779\nABD to KBP: 3448\nABD to JSY: 3372\nABD to MMB: 8528\nKBP to YEK: 9772\nKBP to ALB: 7540\nKBP to BUN: 10991\nKBP to JSY: 1590\nKBP to MMB: 8089\nYEK to ALB: 3471\nYEK to BUN: 7077\nYEK to JSY: 10118\nYEK to MMB: 11421\nBUN to ALB: 4562\nBUN to JSY: 10842\nBUN to MMB: 15605\nALB to JSY: 7979\nALB to MMB: 12013\nMMB to JSY: 9667\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46702,
"style": "rule"
}
|
{
"exact_answer": 46702,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"FLG\", \"id\": 0}, {\"name\": \"ROC\", \"id\": 1}, {\"name\": \"ABD\", \"id\": 2}, {\"name\": \"KBP\", \"id\": 3}, {\"name\": \"YEK\", \"id\": 4}, {\"name\": \"BUN\", \"id\": 5}, {\"name\": \"ALB\", \"id\": 6}, {\"name\": \"MMB\", \"id\": 7}, {\"name\": \"JSY\", \"id\": 8}], \"links\": [{\"weight\": 3684, \"source\": 0, \"target\": 4}, {\"weight\": 3660, \"source\": 0, \"target\": 6}, {\"weight\": 5631, \"source\": 0, \"target\": 5}, {\"weight\": 10320, \"source\": 0, \"target\": 3}, {\"weight\": 11168, \"source\": 0, \"target\": 8}, {\"weight\": 3350, \"source\": 0, \"target\": 1}, {\"weight\": 13712, \"source\": 0, \"target\": 2}, {\"weight\": 10486, \"source\": 0, \"target\": 7}, {\"weight\": 2937, \"source\": 1, \"target\": 4}, {\"weight\": 625, \"source\": 1, \"target\": 6}, {\"weight\": 4617, \"source\": 1, \"target\": 5}, {\"weight\": 7773, \"source\": 1, \"target\": 3}, {\"weight\": 8297, \"source\": 1, \"target\": 8}, {\"weight\": 11003, \"source\": 1, \"target\": 2}, {\"weight\": 11489, \"source\": 1, \"target\": 7}, {\"weight\": 12802, \"source\": 2, \"target\": 4}, {\"weight\": 10685, \"source\": 2, \"target\": 6}, {\"weight\": 13779, \"source\": 2, \"target\": 5}, {\"weight\": 3448, \"source\": 2, \"target\": 3}, {\"weight\": 3372, \"source\": 2, \"target\": 8}, {\"weight\": 8528, \"source\": 2, \"target\": 7}, {\"weight\": 9772, \"source\": 3, \"target\": 4}, {\"weight\": 7540, \"source\": 3, \"target\": 6}, {\"weight\": 10991, \"source\": 3, \"target\": 5}, {\"weight\": 1590, \"source\": 3, \"target\": 8}, {\"weight\": 8089, \"source\": 3, \"target\": 7}, {\"weight\": 3471, \"source\": 4, \"target\": 6}, {\"weight\": 7077, \"source\": 4, \"target\": 5}, {\"weight\": 10118, \"source\": 4, \"target\": 8}, {\"weight\": 11421, \"source\": 4, \"target\": 7}, {\"weight\": 4562, \"source\": 5, \"target\": 6}, {\"weight\": 10842, \"source\": 5, \"target\": 8}, {\"weight\": 15605, \"source\": 5, \"target\": 7}, {\"weight\": 7979, \"source\": 6, \"target\": 8}, {\"weight\": 12013, \"source\": 6, \"target\": 7}, {\"weight\": 9667, \"source\": 7, \"target\": 8}]}",
"id": 1880,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: FLG, ROC, ABD, KBP, YEK, BUN, ALB, MMB, JSY\n- Travel distances (in kilometers) between each pair of airports:\nFLG to YEK: 3684\nFLG to ALB: 3660\nFLG to BUN: 5631\nFLG to KBP: 10320\nFLG to JSY: 11168\nFLG to ROC: 3350\nFLG to ABD: 13712\nFLG to MMB: 10486\nROC to YEK: 2937\nROC to ALB: 625\nROC to BUN: 4617\nROC to KBP: 7773\nROC to JSY: 8297\nROC to ABD: 11003\nROC to MMB: 11489\nABD to YEK: 12802\nABD to ALB: 10685\nABD to BUN: 13779\nABD to KBP: 3448\nABD to JSY: 3372\nABD to MMB: 8528\nKBP to YEK: 9772\nKBP to ALB: 7540\nKBP to BUN: 10991\nKBP to JSY: 1590\nKBP to MMB: 8089\nYEK to ALB: 3471\nYEK to BUN: 7077\nYEK to JSY: 10118\nYEK to MMB: 11421\nBUN to ALB: 4562\nBUN to JSY: 10842\nBUN to MMB: 15605\nALB to JSY: 7979\nALB to MMB: 12013\nMMB to JSY: 9667\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JGD, PNP, KWM, CSK, GAL, KCT, GGG, YPL, PKC\n- Travel distances (in kilometers) between each pair of airports:\nJGD to GAL: 12592\nJGD to GGG: 12542\nJGD to PNP: 7397\nJGD to CSK: 12403\nJGD to KWM: 8278\nJGD to PKC: 3005\nJGD to KCT: 6683\nJGD to YPL: 12264\nPNP to GAL: 13955\nPNP to GGG: 14627\nPNP to CSK: 18804\nPNP to KWM: 1436\nPNP to PKC: 8401\nPNP to KCT: 7962\nPNP to YPL: 15299\nKWM to GAL: 14719\nKWM to GGG: 15435\nKWM to CSK: 19184\nKWM to PKC: 9521\nKWM to KCT: 8334\nKWM to YPL: 16419\nCSK to GAL: 12933\nCSK to GGG: 8781\nCSK to PKC: 13529\nCSK to KCT: 11316\nCSK to YPL: 8239\nGAL to GGG: 5782\nGAL to PKC: 13730\nGAL to KCT: 16872\nGAL to YPL: 5753\nKCT to GGG: 16072\nKCT to PKC: 8752\nKCT to YPL: 15458\nGGG to PKC: 13732\nGGG to YPL: 3179\nYPL to PKC: 13268\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 62284,
"style": "rule"
}
|
{
"exact_answer": 62284,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JGD\", \"id\": 0}, {\"name\": \"PNP\", \"id\": 1}, {\"name\": \"KWM\", \"id\": 2}, {\"name\": \"CSK\", \"id\": 3}, {\"name\": \"GAL\", \"id\": 4}, {\"name\": \"KCT\", \"id\": 5}, {\"name\": \"GGG\", \"id\": 6}, {\"name\": \"YPL\", \"id\": 7}, {\"name\": \"PKC\", \"id\": 8}], \"links\": [{\"weight\": 12592, \"source\": 0, \"target\": 4}, {\"weight\": 12542, \"source\": 0, \"target\": 6}, {\"weight\": 7397, \"source\": 0, \"target\": 1}, {\"weight\": 12403, \"source\": 0, \"target\": 3}, {\"weight\": 8278, \"source\": 0, \"target\": 2}, {\"weight\": 3005, \"source\": 0, \"target\": 8}, {\"weight\": 6683, \"source\": 0, \"target\": 5}, {\"weight\": 12264, \"source\": 0, \"target\": 7}, {\"weight\": 13955, \"source\": 1, \"target\": 4}, {\"weight\": 14627, \"source\": 1, \"target\": 6}, {\"weight\": 18804, \"source\": 1, \"target\": 3}, {\"weight\": 1436, \"source\": 1, \"target\": 2}, {\"weight\": 8401, \"source\": 1, \"target\": 8}, {\"weight\": 7962, \"source\": 1, \"target\": 5}, {\"weight\": 15299, \"source\": 1, \"target\": 7}, {\"weight\": 14719, \"source\": 2, \"target\": 4}, {\"weight\": 15435, \"source\": 2, \"target\": 6}, {\"weight\": 19184, \"source\": 2, \"target\": 3}, {\"weight\": 9521, \"source\": 2, \"target\": 8}, {\"weight\": 8334, \"source\": 2, \"target\": 5}, {\"weight\": 16419, \"source\": 2, \"target\": 7}, {\"weight\": 12933, \"source\": 3, \"target\": 4}, {\"weight\": 8781, \"source\": 3, \"target\": 6}, {\"weight\": 13529, \"source\": 3, \"target\": 8}, {\"weight\": 11316, \"source\": 3, \"target\": 5}, {\"weight\": 8239, \"source\": 3, \"target\": 7}, {\"weight\": 5782, \"source\": 4, \"target\": 6}, {\"weight\": 13730, \"source\": 4, \"target\": 8}, {\"weight\": 16872, \"source\": 4, \"target\": 5}, {\"weight\": 5753, \"source\": 4, \"target\": 7}, {\"weight\": 16072, \"source\": 5, \"target\": 6}, {\"weight\": 8752, \"source\": 5, \"target\": 8}, {\"weight\": 15458, \"source\": 5, \"target\": 7}, {\"weight\": 13732, \"source\": 6, \"target\": 8}, {\"weight\": 3179, \"source\": 6, \"target\": 7}, {\"weight\": 13268, \"source\": 7, \"target\": 8}]}",
"id": 1881,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JGD, PNP, KWM, CSK, GAL, KCT, GGG, YPL, PKC\n- Travel distances (in kilometers) between each pair of airports:\nJGD to GAL: 12592\nJGD to GGG: 12542\nJGD to PNP: 7397\nJGD to CSK: 12403\nJGD to KWM: 8278\nJGD to PKC: 3005\nJGD to KCT: 6683\nJGD to YPL: 12264\nPNP to GAL: 13955\nPNP to GGG: 14627\nPNP to CSK: 18804\nPNP to KWM: 1436\nPNP to PKC: 8401\nPNP to KCT: 7962\nPNP to YPL: 15299\nKWM to GAL: 14719\nKWM to GGG: 15435\nKWM to CSK: 19184\nKWM to PKC: 9521\nKWM to KCT: 8334\nKWM to YPL: 16419\nCSK to GAL: 12933\nCSK to GGG: 8781\nCSK to PKC: 13529\nCSK to KCT: 11316\nCSK to YPL: 8239\nGAL to GGG: 5782\nGAL to PKC: 13730\nGAL to KCT: 16872\nGAL to YPL: 5753\nKCT to GGG: 16072\nKCT to PKC: 8752\nKCT to YPL: 15458\nGGG to PKC: 13732\nGGG to YPL: 3179\nYPL to PKC: 13268\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IDA, AMS, GIB, PRC, NRL, BBA, ATH, INZ, ACZ\n- Travel distances (in kilometers) between each pair of airports:\nIDA to AMS: 8498\nIDA to ATH: 10564\nIDA to GIB: 9978\nIDA to INZ: 10641\nIDA to ACZ: 13905\nIDA to BBA: 11027\nIDA to NRL: 8214\nIDA to PRC: 1802\nAMS to ATH: 2181\nAMS to GIB: 2081\nAMS to INZ: 2790\nAMS to ACZ: 5516\nAMS to BBA: 13465\nAMS to NRL: 953\nAMS to PRC: 9511\nGIB to ATH: 4109\nGIB to INZ: 4397\nGIB to ACZ: 7507\nGIB to BBA: 15044\nGIB to NRL: 2604\nGIB to PRC: 11028\nPRC to ATH: 11687\nPRC to INZ: 11678\nPRC to ACZ: 14486\nPRC to BBA: 11044\nPRC to NRL: 9379\nNRL to ATH: 3130\nNRL to INZ: 3614\nNRL to ACZ: 6466\nNRL to BBA: 14220\nBBA to ATH: 14477\nBBA to INZ: 13371\nBBA to ACZ: 17660\nATH to INZ: 2936\nATH to ACZ: 3870\nINZ to ACZ: 6624\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51438,
"style": "rule"
}
|
{
"exact_answer": 51438,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"IDA\", \"id\": 0}, {\"name\": \"AMS\", \"id\": 1}, {\"name\": \"GIB\", \"id\": 2}, {\"name\": \"PRC\", \"id\": 3}, {\"name\": \"NRL\", \"id\": 4}, {\"name\": \"BBA\", \"id\": 5}, {\"name\": \"ATH\", \"id\": 6}, {\"name\": \"INZ\", \"id\": 7}, {\"name\": \"ACZ\", \"id\": 8}], \"links\": [{\"weight\": 8498, \"source\": 0, \"target\": 1}, {\"weight\": 10564, \"source\": 0, \"target\": 6}, {\"weight\": 9978, \"source\": 0, \"target\": 2}, {\"weight\": 10641, \"source\": 0, \"target\": 7}, {\"weight\": 13905, \"source\": 0, \"target\": 8}, {\"weight\": 11027, \"source\": 0, \"target\": 5}, {\"weight\": 8214, \"source\": 0, \"target\": 4}, {\"weight\": 1802, \"source\": 0, \"target\": 3}, {\"weight\": 2181, \"source\": 1, \"target\": 6}, {\"weight\": 2081, \"source\": 1, \"target\": 2}, {\"weight\": 2790, \"source\": 1, \"target\": 7}, {\"weight\": 5516, \"source\": 1, \"target\": 8}, {\"weight\": 13465, \"source\": 1, \"target\": 5}, {\"weight\": 953, \"source\": 1, \"target\": 4}, {\"weight\": 9511, \"source\": 1, \"target\": 3}, {\"weight\": 4109, \"source\": 2, \"target\": 6}, {\"weight\": 4397, \"source\": 2, \"target\": 7}, {\"weight\": 7507, \"source\": 2, \"target\": 8}, {\"weight\": 15044, \"source\": 2, \"target\": 5}, {\"weight\": 2604, \"source\": 2, \"target\": 4}, {\"weight\": 11028, \"source\": 2, \"target\": 3}, {\"weight\": 11687, \"source\": 3, \"target\": 6}, {\"weight\": 11678, \"source\": 3, \"target\": 7}, {\"weight\": 14486, \"source\": 3, \"target\": 8}, {\"weight\": 11044, \"source\": 3, \"target\": 5}, {\"weight\": 9379, \"source\": 3, \"target\": 4}, {\"weight\": 3130, \"source\": 4, \"target\": 6}, {\"weight\": 3614, \"source\": 4, \"target\": 7}, {\"weight\": 6466, \"source\": 4, \"target\": 8}, {\"weight\": 14220, \"source\": 4, \"target\": 5}, {\"weight\": 14477, \"source\": 5, \"target\": 6}, {\"weight\": 13371, \"source\": 5, \"target\": 7}, {\"weight\": 17660, \"source\": 5, \"target\": 8}, {\"weight\": 2936, \"source\": 6, \"target\": 7}, {\"weight\": 3870, \"source\": 6, \"target\": 8}, {\"weight\": 6624, \"source\": 7, \"target\": 8}]}",
"id": 1882,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: IDA, AMS, GIB, PRC, NRL, BBA, ATH, INZ, ACZ\n- Travel distances (in kilometers) between each pair of airports:\nIDA to AMS: 8498\nIDA to ATH: 10564\nIDA to GIB: 9978\nIDA to INZ: 10641\nIDA to ACZ: 13905\nIDA to BBA: 11027\nIDA to NRL: 8214\nIDA to PRC: 1802\nAMS to ATH: 2181\nAMS to GIB: 2081\nAMS to INZ: 2790\nAMS to ACZ: 5516\nAMS to BBA: 13465\nAMS to NRL: 953\nAMS to PRC: 9511\nGIB to ATH: 4109\nGIB to INZ: 4397\nGIB to ACZ: 7507\nGIB to BBA: 15044\nGIB to NRL: 2604\nGIB to PRC: 11028\nPRC to ATH: 11687\nPRC to INZ: 11678\nPRC to ACZ: 14486\nPRC to BBA: 11044\nPRC to NRL: 9379\nNRL to ATH: 3130\nNRL to INZ: 3614\nNRL to ACZ: 6466\nNRL to BBA: 14220\nBBA to ATH: 14477\nBBA to INZ: 13371\nBBA to ACZ: 17660\nATH to INZ: 2936\nATH to ACZ: 3870\nINZ to ACZ: 6624\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ETH, TNJ, LPM, PEW, YOP, MBA, VVO, KHN, ALS\n- Travel distances (in kilometers) between each pair of airports:\nETH to KHN: 8021\nETH to MBA: 4313\nETH to YOP: 11149\nETH to VVO: 8536\nETH to PEW: 3737\nETH to ALS: 11563\nETH to TNJ: 9768\nETH to LPM: 15898\nTNJ to KHN: 4831\nTNJ to MBA: 9662\nTNJ to YOP: 15526\nTNJ to VVO: 6897\nTNJ to PEW: 6622\nTNJ to ALS: 16237\nTNJ to LPM: 8155\nLPM to KHN: 8449\nLPM to MBA: 14361\nLPM to YOP: 12062\nLPM to VVO: 8754\nLPM to PEW: 12445\nLPM to ALS: 11346\nPEW to KHN: 4612\nPEW to MBA: 5508\nPEW to YOP: 12587\nPEW to VVO: 5388\nPEW to ALS: 13001\nYOP to KHN: 11056\nYOP to MBA: 14708\nYOP to VVO: 9972\nYOP to ALS: 2608\nMBA to KHN: 9467\nMBA to VVO: 10858\nMBA to ALS: 15048\nVVO to KHN: 2184\nVVO to ALS: 10683\nKHN to ALS: 11645\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 55482,
"style": "rule"
}
|
{
"exact_answer": 55482,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ETH\", \"id\": 0}, {\"name\": \"TNJ\", \"id\": 1}, {\"name\": \"LPM\", \"id\": 2}, {\"name\": \"PEW\", \"id\": 3}, {\"name\": \"YOP\", \"id\": 4}, {\"name\": \"MBA\", \"id\": 5}, {\"name\": \"VVO\", \"id\": 6}, {\"name\": \"KHN\", \"id\": 7}, {\"name\": \"ALS\", \"id\": 8}], \"links\": [{\"weight\": 8021, \"source\": 0, \"target\": 7}, {\"weight\": 4313, \"source\": 0, \"target\": 5}, {\"weight\": 11149, \"source\": 0, \"target\": 4}, {\"weight\": 8536, \"source\": 0, \"target\": 6}, {\"weight\": 3737, \"source\": 0, \"target\": 3}, {\"weight\": 11563, \"source\": 0, \"target\": 8}, {\"weight\": 9768, \"source\": 0, \"target\": 1}, {\"weight\": 15898, \"source\": 0, \"target\": 2}, {\"weight\": 4831, \"source\": 1, \"target\": 7}, {\"weight\": 9662, \"source\": 1, \"target\": 5}, {\"weight\": 15526, \"source\": 1, \"target\": 4}, {\"weight\": 6897, \"source\": 1, \"target\": 6}, {\"weight\": 6622, \"source\": 1, \"target\": 3}, {\"weight\": 16237, \"source\": 1, \"target\": 8}, {\"weight\": 8155, \"source\": 1, \"target\": 2}, {\"weight\": 8449, \"source\": 2, \"target\": 7}, {\"weight\": 14361, \"source\": 2, \"target\": 5}, {\"weight\": 12062, \"source\": 2, \"target\": 4}, {\"weight\": 8754, \"source\": 2, \"target\": 6}, {\"weight\": 12445, \"source\": 2, \"target\": 3}, {\"weight\": 11346, \"source\": 2, \"target\": 8}, {\"weight\": 4612, \"source\": 3, \"target\": 7}, {\"weight\": 5508, \"source\": 3, \"target\": 5}, {\"weight\": 12587, \"source\": 3, \"target\": 4}, {\"weight\": 5388, \"source\": 3, \"target\": 6}, {\"weight\": 13001, \"source\": 3, \"target\": 8}, {\"weight\": 11056, \"source\": 4, \"target\": 7}, {\"weight\": 14708, \"source\": 4, \"target\": 5}, {\"weight\": 9972, \"source\": 4, \"target\": 6}, {\"weight\": 2608, \"source\": 4, \"target\": 8}, {\"weight\": 9467, \"source\": 5, \"target\": 7}, {\"weight\": 10858, \"source\": 5, \"target\": 6}, {\"weight\": 15048, \"source\": 5, \"target\": 8}, {\"weight\": 2184, \"source\": 6, \"target\": 7}, {\"weight\": 10683, \"source\": 6, \"target\": 8}, {\"weight\": 11645, \"source\": 7, \"target\": 8}]}",
"id": 1883,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ETH, TNJ, LPM, PEW, YOP, MBA, VVO, KHN, ALS\n- Travel distances (in kilometers) between each pair of airports:\nETH to KHN: 8021\nETH to MBA: 4313\nETH to YOP: 11149\nETH to VVO: 8536\nETH to PEW: 3737\nETH to ALS: 11563\nETH to TNJ: 9768\nETH to LPM: 15898\nTNJ to KHN: 4831\nTNJ to MBA: 9662\nTNJ to YOP: 15526\nTNJ to VVO: 6897\nTNJ to PEW: 6622\nTNJ to ALS: 16237\nTNJ to LPM: 8155\nLPM to KHN: 8449\nLPM to MBA: 14361\nLPM to YOP: 12062\nLPM to VVO: 8754\nLPM to PEW: 12445\nLPM to ALS: 11346\nPEW to KHN: 4612\nPEW to MBA: 5508\nPEW to YOP: 12587\nPEW to VVO: 5388\nPEW to ALS: 13001\nYOP to KHN: 11056\nYOP to MBA: 14708\nYOP to VVO: 9972\nYOP to ALS: 2608\nMBA to KHN: 9467\nMBA to VVO: 10858\nMBA to ALS: 15048\nVVO to KHN: 2184\nVVO to ALS: 10683\nKHN to ALS: 11645\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NGB, NDR, LLW, YSY, ANC, BIS, DSN, PCR, NAN\n- Travel distances (in kilometers) between each pair of airports:\nNGB to NDR: 10851\nNGB to DSN: 1565\nNGB to YSY: 12229\nNGB to ANC: 11664\nNGB to PCR: 16594\nNGB to NAN: 9020\nNGB to LLW: 11014\nNGB to BIS: 11785\nNDR to DSN: 9480\nNDR to YSY: 10617\nNDR to ANC: 11697\nNDR to PCR: 8847\nNDR to NAN: 18552\nNDR to LLW: 7909\nNDR to BIS: 8274\nLLW to DSN: 10224\nLLW to YSY: 17318\nLLW to ANC: 18266\nLLW to PCR: 13894\nLLW to NAN: 15682\nLLW to BIS: 15138\nYSY to DSN: 12115\nYSY to ANC: 5477\nYSY to PCR: 9531\nYSY to NAN: 12523\nYSY to BIS: 4617\nANC to DSN: 11563\nANC to PCR: 9581\nANC to NAN: 9580\nANC to BIS: 4661\nBIS to DSN: 11671\nBIS to PCR: 6151\nBIS to NAN: 10955\nDSN to PCR: 16236\nDSN to NAN: 9577\nPCR to NAN: 15244\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 63390,
"style": "rule"
}
|
{
"exact_answer": 63390,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"NGB\", \"id\": 0}, {\"name\": \"NDR\", \"id\": 1}, {\"name\": \"LLW\", \"id\": 2}, {\"name\": \"YSY\", \"id\": 3}, {\"name\": \"ANC\", \"id\": 4}, {\"name\": \"BIS\", \"id\": 5}, {\"name\": \"DSN\", \"id\": 6}, {\"name\": \"PCR\", \"id\": 7}, {\"name\": \"NAN\", \"id\": 8}], \"links\": [{\"weight\": 10851, \"source\": 0, \"target\": 1}, {\"weight\": 1565, \"source\": 0, \"target\": 6}, {\"weight\": 12229, \"source\": 0, \"target\": 3}, {\"weight\": 11664, \"source\": 0, \"target\": 4}, {\"weight\": 16594, \"source\": 0, \"target\": 7}, {\"weight\": 9020, \"source\": 0, \"target\": 8}, {\"weight\": 11014, \"source\": 0, \"target\": 2}, {\"weight\": 11785, \"source\": 0, \"target\": 5}, {\"weight\": 9480, \"source\": 1, \"target\": 6}, {\"weight\": 10617, \"source\": 1, \"target\": 3}, {\"weight\": 11697, \"source\": 1, \"target\": 4}, {\"weight\": 8847, \"source\": 1, \"target\": 7}, {\"weight\": 18552, \"source\": 1, \"target\": 8}, {\"weight\": 7909, \"source\": 1, \"target\": 2}, {\"weight\": 8274, \"source\": 1, \"target\": 5}, {\"weight\": 10224, \"source\": 2, \"target\": 6}, {\"weight\": 17318, \"source\": 2, \"target\": 3}, {\"weight\": 18266, \"source\": 2, \"target\": 4}, {\"weight\": 13894, \"source\": 2, \"target\": 7}, {\"weight\": 15682, \"source\": 2, \"target\": 8}, {\"weight\": 15138, \"source\": 2, \"target\": 5}, {\"weight\": 12115, \"source\": 3, \"target\": 6}, {\"weight\": 5477, \"source\": 3, \"target\": 4}, {\"weight\": 9531, \"source\": 3, \"target\": 7}, {\"weight\": 12523, \"source\": 3, \"target\": 8}, {\"weight\": 4617, \"source\": 3, \"target\": 5}, {\"weight\": 11563, \"source\": 4, \"target\": 6}, {\"weight\": 9581, \"source\": 4, \"target\": 7}, {\"weight\": 9580, \"source\": 4, \"target\": 8}, {\"weight\": 4661, \"source\": 4, \"target\": 5}, {\"weight\": 11671, \"source\": 5, \"target\": 6}, {\"weight\": 6151, \"source\": 5, \"target\": 7}, {\"weight\": 10955, \"source\": 5, \"target\": 8}, {\"weight\": 16236, \"source\": 6, \"target\": 7}, {\"weight\": 9577, \"source\": 6, \"target\": 8}, {\"weight\": 15244, \"source\": 7, \"target\": 8}]}",
"id": 1884,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: NGB, NDR, LLW, YSY, ANC, BIS, DSN, PCR, NAN\n- Travel distances (in kilometers) between each pair of airports:\nNGB to NDR: 10851\nNGB to DSN: 1565\nNGB to YSY: 12229\nNGB to ANC: 11664\nNGB to PCR: 16594\nNGB to NAN: 9020\nNGB to LLW: 11014\nNGB to BIS: 11785\nNDR to DSN: 9480\nNDR to YSY: 10617\nNDR to ANC: 11697\nNDR to PCR: 8847\nNDR to NAN: 18552\nNDR to LLW: 7909\nNDR to BIS: 8274\nLLW to DSN: 10224\nLLW to YSY: 17318\nLLW to ANC: 18266\nLLW to PCR: 13894\nLLW to NAN: 15682\nLLW to BIS: 15138\nYSY to DSN: 12115\nYSY to ANC: 5477\nYSY to PCR: 9531\nYSY to NAN: 12523\nYSY to BIS: 4617\nANC to DSN: 11563\nANC to PCR: 9581\nANC to NAN: 9580\nANC to BIS: 4661\nBIS to DSN: 11671\nBIS to PCR: 6151\nBIS to NAN: 10955\nDSN to PCR: 16236\nDSN to NAN: 9577\nPCR to NAN: 15244\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KET, BFS, FSC, MVT, SAL, NNM, THD, YFJ, AKP\n- Travel distances (in kilometers) between each pair of airports:\nKET to AKP: 14970\nKET to NNM: 7814\nKET to YFJ: 13935\nKET to FSC: 9584\nKET to SAL: 16928\nKET to BFS: 9988\nKET to THD: 2936\nKET to MVT: 14845\nBFS to AKP: 10202\nBFS to NNM: 3651\nBFS to YFJ: 7655\nBFS to FSC: 1844\nBFS to SAL: 8456\nBFS to THD: 11458\nBFS to MVT: 15519\nFSC to AKP: 11894\nFSC to NNM: 4064\nFSC to YFJ: 9344\nFSC to SAL: 9846\nFSC to THD: 11298\nFSC to MVT: 17005\nMVT to AKP: 10029\nMVT to NNM: 17383\nMVT to YFJ: 10321\nMVT to SAL: 10659\nMVT to THD: 14289\nSAL to AKP: 7830\nSAL to NNM: 11681\nSAL to YFJ: 6138\nSAL to THD: 17850\nNNM to AKP: 12832\nNNM to YFJ: 10285\nNNM to THD: 9036\nTHD to AKP: 15803\nTHD to YFJ: 14783\nYFJ to AKP: 4976\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60546,
"style": "rule"
}
|
{
"exact_answer": 60546,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KET\", \"id\": 0}, {\"name\": \"BFS\", \"id\": 1}, {\"name\": \"FSC\", \"id\": 2}, {\"name\": \"MVT\", \"id\": 3}, {\"name\": \"SAL\", \"id\": 4}, {\"name\": \"NNM\", \"id\": 5}, {\"name\": \"THD\", \"id\": 6}, {\"name\": \"YFJ\", \"id\": 7}, {\"name\": \"AKP\", \"id\": 8}], \"links\": [{\"weight\": 14970, \"source\": 0, \"target\": 8}, {\"weight\": 7814, \"source\": 0, \"target\": 5}, {\"weight\": 13935, \"source\": 0, \"target\": 7}, {\"weight\": 9584, \"source\": 0, \"target\": 2}, {\"weight\": 16928, \"source\": 0, \"target\": 4}, {\"weight\": 9988, \"source\": 0, \"target\": 1}, {\"weight\": 2936, \"source\": 0, \"target\": 6}, {\"weight\": 14845, \"source\": 0, \"target\": 3}, {\"weight\": 10202, \"source\": 1, \"target\": 8}, {\"weight\": 3651, \"source\": 1, \"target\": 5}, {\"weight\": 7655, \"source\": 1, \"target\": 7}, {\"weight\": 1844, \"source\": 1, \"target\": 2}, {\"weight\": 8456, \"source\": 1, \"target\": 4}, {\"weight\": 11458, \"source\": 1, \"target\": 6}, {\"weight\": 15519, \"source\": 1, \"target\": 3}, {\"weight\": 11894, \"source\": 2, \"target\": 8}, {\"weight\": 4064, \"source\": 2, \"target\": 5}, {\"weight\": 9344, \"source\": 2, \"target\": 7}, {\"weight\": 9846, \"source\": 2, \"target\": 4}, {\"weight\": 11298, \"source\": 2, \"target\": 6}, {\"weight\": 17005, \"source\": 2, \"target\": 3}, {\"weight\": 10029, \"source\": 3, \"target\": 8}, {\"weight\": 17383, \"source\": 3, \"target\": 5}, {\"weight\": 10321, \"source\": 3, \"target\": 7}, {\"weight\": 10659, \"source\": 3, \"target\": 4}, {\"weight\": 14289, \"source\": 3, \"target\": 6}, {\"weight\": 7830, \"source\": 4, \"target\": 8}, {\"weight\": 11681, \"source\": 4, \"target\": 5}, {\"weight\": 6138, \"source\": 4, \"target\": 7}, {\"weight\": 17850, \"source\": 4, \"target\": 6}, {\"weight\": 12832, \"source\": 5, \"target\": 8}, {\"weight\": 10285, \"source\": 5, \"target\": 7}, {\"weight\": 9036, \"source\": 5, \"target\": 6}, {\"weight\": 15803, \"source\": 6, \"target\": 8}, {\"weight\": 14783, \"source\": 6, \"target\": 7}, {\"weight\": 4976, \"source\": 7, \"target\": 8}]}",
"id": 1885,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KET, BFS, FSC, MVT, SAL, NNM, THD, YFJ, AKP\n- Travel distances (in kilometers) between each pair of airports:\nKET to AKP: 14970\nKET to NNM: 7814\nKET to YFJ: 13935\nKET to FSC: 9584\nKET to SAL: 16928\nKET to BFS: 9988\nKET to THD: 2936\nKET to MVT: 14845\nBFS to AKP: 10202\nBFS to NNM: 3651\nBFS to YFJ: 7655\nBFS to FSC: 1844\nBFS to SAL: 8456\nBFS to THD: 11458\nBFS to MVT: 15519\nFSC to AKP: 11894\nFSC to NNM: 4064\nFSC to YFJ: 9344\nFSC to SAL: 9846\nFSC to THD: 11298\nFSC to MVT: 17005\nMVT to AKP: 10029\nMVT to NNM: 17383\nMVT to YFJ: 10321\nMVT to SAL: 10659\nMVT to THD: 14289\nSAL to AKP: 7830\nSAL to NNM: 11681\nSAL to YFJ: 6138\nSAL to THD: 17850\nNNM to AKP: 12832\nNNM to YFJ: 10285\nNNM to THD: 9036\nTHD to AKP: 15803\nTHD to YFJ: 14783\nYFJ to AKP: 4976\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BMV, TMR, GOI, URC, KCT, KVK, ILY, SNE, EXI\n- Travel distances (in kilometers) between each pair of airports:\nBMV to URC: 4109\nBMV to GOI: 3934\nBMV to TMR: 12054\nBMV to ILY: 10586\nBMV to KVK: 9045\nBMV to KCT: 3506\nBMV to SNE: 14476\nBMV to EXI: 13238\nTMR to URC: 8286\nTMR to GOI: 8796\nTMR to ILY: 3882\nTMR to KVK: 6269\nTMR to KCT: 10011\nTMR to SNE: 5256\nTMR to EXI: 12397\nGOI to URC: 3873\nGOI to ILY: 8058\nGOI to KVK: 6772\nGOI to KCT: 1319\nGOI to SNE: 10824\nGOI to EXI: 15401\nURC to ILY: 6603\nURC to KVK: 5292\nURC to KCT: 4905\nURC to SNE: 10515\nURC to EXI: 12620\nKCT to ILY: 9291\nKCT to KVK: 8022\nKCT to SNE: 12039\nKCT to EXI: 15493\nKVK to ILY: 4296\nKVK to SNE: 8173\nKVK to EXI: 12074\nILY to SNE: 4989\nILY to EXI: 8784\nSNE to EXI: 11317\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51979,
"style": "rule"
}
|
{
"exact_answer": 51979,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BMV\", \"id\": 0}, {\"name\": \"TMR\", \"id\": 1}, {\"name\": \"GOI\", \"id\": 2}, {\"name\": \"URC\", \"id\": 3}, {\"name\": \"KCT\", \"id\": 4}, {\"name\": \"KVK\", \"id\": 5}, {\"name\": \"ILY\", \"id\": 6}, {\"name\": \"SNE\", \"id\": 7}, {\"name\": \"EXI\", \"id\": 8}], \"links\": [{\"weight\": 4109, \"source\": 0, \"target\": 3}, {\"weight\": 3934, \"source\": 0, \"target\": 2}, {\"weight\": 12054, \"source\": 0, \"target\": 1}, {\"weight\": 10586, \"source\": 0, \"target\": 6}, {\"weight\": 9045, \"source\": 0, \"target\": 5}, {\"weight\": 3506, \"source\": 0, \"target\": 4}, {\"weight\": 14476, \"source\": 0, \"target\": 7}, {\"weight\": 13238, \"source\": 0, \"target\": 8}, {\"weight\": 8286, \"source\": 1, \"target\": 3}, {\"weight\": 8796, \"source\": 1, \"target\": 2}, {\"weight\": 3882, \"source\": 1, \"target\": 6}, {\"weight\": 6269, \"source\": 1, \"target\": 5}, {\"weight\": 10011, \"source\": 1, \"target\": 4}, {\"weight\": 5256, \"source\": 1, \"target\": 7}, {\"weight\": 12397, \"source\": 1, \"target\": 8}, {\"weight\": 3873, \"source\": 2, \"target\": 3}, {\"weight\": 8058, \"source\": 2, \"target\": 6}, {\"weight\": 6772, \"source\": 2, \"target\": 5}, {\"weight\": 1319, \"source\": 2, \"target\": 4}, {\"weight\": 10824, \"source\": 2, \"target\": 7}, {\"weight\": 15401, \"source\": 2, \"target\": 8}, {\"weight\": 6603, \"source\": 3, \"target\": 6}, {\"weight\": 5292, \"source\": 3, \"target\": 5}, {\"weight\": 4905, \"source\": 3, \"target\": 4}, {\"weight\": 10515, \"source\": 3, \"target\": 7}, {\"weight\": 12620, \"source\": 3, \"target\": 8}, {\"weight\": 9291, \"source\": 4, \"target\": 6}, {\"weight\": 8022, \"source\": 4, \"target\": 5}, {\"weight\": 12039, \"source\": 4, \"target\": 7}, {\"weight\": 15493, \"source\": 4, \"target\": 8}, {\"weight\": 4296, \"source\": 5, \"target\": 6}, {\"weight\": 8173, \"source\": 5, \"target\": 7}, {\"weight\": 12074, \"source\": 5, \"target\": 8}, {\"weight\": 4989, \"source\": 6, \"target\": 7}, {\"weight\": 8784, \"source\": 6, \"target\": 8}, {\"weight\": 11317, \"source\": 7, \"target\": 8}]}",
"id": 1886,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BMV, TMR, GOI, URC, KCT, KVK, ILY, SNE, EXI\n- Travel distances (in kilometers) between each pair of airports:\nBMV to URC: 4109\nBMV to GOI: 3934\nBMV to TMR: 12054\nBMV to ILY: 10586\nBMV to KVK: 9045\nBMV to KCT: 3506\nBMV to SNE: 14476\nBMV to EXI: 13238\nTMR to URC: 8286\nTMR to GOI: 8796\nTMR to ILY: 3882\nTMR to KVK: 6269\nTMR to KCT: 10011\nTMR to SNE: 5256\nTMR to EXI: 12397\nGOI to URC: 3873\nGOI to ILY: 8058\nGOI to KVK: 6772\nGOI to KCT: 1319\nGOI to SNE: 10824\nGOI to EXI: 15401\nURC to ILY: 6603\nURC to KVK: 5292\nURC to KCT: 4905\nURC to SNE: 10515\nURC to EXI: 12620\nKCT to ILY: 9291\nKCT to KVK: 8022\nKCT to SNE: 12039\nKCT to EXI: 15493\nKVK to ILY: 4296\nKVK to SNE: 8173\nKVK to EXI: 12074\nILY to SNE: 4989\nILY to EXI: 8784\nSNE to EXI: 11317\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ORK, MEM, UNN, PSS, NOC, MMX, AJL, YSO, PVC\n- Travel distances (in kilometers) between each pair of airports:\nORK to MEM: 7116\nORK to PVC: 5516\nORK to AJL: 9007\nORK to PSS: 11894\nORK to MMX: 1550\nORK to NOC: 813\nORK to UNN: 10636\nORK to YSO: 5284\nMEM to PVC: 1909\nMEM to AJL: 14556\nMEM to PSS: 9432\nMEM to MMX: 7994\nMEM to NOC: 7197\nMEM to UNN: 15175\nMEM to YSO: 3397\nUNN to PVC: 15043\nUNN to AJL: 2578\nUNN to PSS: 20037\nUNN to MMX: 9392\nUNN to NOC: 10682\nUNN to YSO: 14810\nPSS to PVC: 10033\nPSS to AJL: 18409\nPSS to MMX: 13018\nPSS to NOC: 12183\nPSS to YSO: 11409\nNOC to PVC: 5499\nNOC to AJL: 8996\nNOC to MMX: 1599\nNOC to YSO: 5406\nMMX to PVC: 6296\nMMX to AJL: 7706\nMMX to YSO: 6363\nAJL to PVC: 13357\nAJL to YSO: 13204\nYSO to PVC: 1881\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 51239,
"style": "rule"
}
|
{
"exact_answer": 51239,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"ORK\", \"id\": 0}, {\"name\": \"MEM\", \"id\": 1}, {\"name\": \"UNN\", \"id\": 2}, {\"name\": \"PSS\", \"id\": 3}, {\"name\": \"NOC\", \"id\": 4}, {\"name\": \"MMX\", \"id\": 5}, {\"name\": \"AJL\", \"id\": 6}, {\"name\": \"YSO\", \"id\": 7}, {\"name\": \"PVC\", \"id\": 8}], \"links\": [{\"weight\": 7116, \"source\": 0, \"target\": 1}, {\"weight\": 5516, \"source\": 0, \"target\": 8}, {\"weight\": 9007, \"source\": 0, \"target\": 6}, {\"weight\": 11894, \"source\": 0, \"target\": 3}, {\"weight\": 1550, \"source\": 0, \"target\": 5}, {\"weight\": 813, \"source\": 0, \"target\": 4}, {\"weight\": 10636, \"source\": 0, \"target\": 2}, {\"weight\": 5284, \"source\": 0, \"target\": 7}, {\"weight\": 1909, \"source\": 1, \"target\": 8}, {\"weight\": 14556, \"source\": 1, \"target\": 6}, {\"weight\": 9432, \"source\": 1, \"target\": 3}, {\"weight\": 7994, \"source\": 1, \"target\": 5}, {\"weight\": 7197, \"source\": 1, \"target\": 4}, {\"weight\": 15175, \"source\": 1, \"target\": 2}, {\"weight\": 3397, \"source\": 1, \"target\": 7}, {\"weight\": 15043, \"source\": 2, \"target\": 8}, {\"weight\": 2578, \"source\": 2, \"target\": 6}, {\"weight\": 20037, \"source\": 2, \"target\": 3}, {\"weight\": 9392, \"source\": 2, \"target\": 5}, {\"weight\": 10682, \"source\": 2, \"target\": 4}, {\"weight\": 14810, \"source\": 2, \"target\": 7}, {\"weight\": 10033, \"source\": 3, \"target\": 8}, {\"weight\": 18409, \"source\": 3, \"target\": 6}, {\"weight\": 13018, \"source\": 3, \"target\": 5}, {\"weight\": 12183, \"source\": 3, \"target\": 4}, {\"weight\": 11409, \"source\": 3, \"target\": 7}, {\"weight\": 5499, \"source\": 4, \"target\": 8}, {\"weight\": 8996, \"source\": 4, \"target\": 6}, {\"weight\": 1599, \"source\": 4, \"target\": 5}, {\"weight\": 5406, \"source\": 4, \"target\": 7}, {\"weight\": 6296, \"source\": 5, \"target\": 8}, {\"weight\": 7706, \"source\": 5, \"target\": 6}, {\"weight\": 6363, \"source\": 5, \"target\": 7}, {\"weight\": 13357, \"source\": 6, \"target\": 8}, {\"weight\": 13204, \"source\": 6, \"target\": 7}, {\"weight\": 1881, \"source\": 7, \"target\": 8}]}",
"id": 1887,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: ORK, MEM, UNN, PSS, NOC, MMX, AJL, YSO, PVC\n- Travel distances (in kilometers) between each pair of airports:\nORK to MEM: 7116\nORK to PVC: 5516\nORK to AJL: 9007\nORK to PSS: 11894\nORK to MMX: 1550\nORK to NOC: 813\nORK to UNN: 10636\nORK to YSO: 5284\nMEM to PVC: 1909\nMEM to AJL: 14556\nMEM to PSS: 9432\nMEM to MMX: 7994\nMEM to NOC: 7197\nMEM to UNN: 15175\nMEM to YSO: 3397\nUNN to PVC: 15043\nUNN to AJL: 2578\nUNN to PSS: 20037\nUNN to MMX: 9392\nUNN to NOC: 10682\nUNN to YSO: 14810\nPSS to PVC: 10033\nPSS to AJL: 18409\nPSS to MMX: 13018\nPSS to NOC: 12183\nPSS to YSO: 11409\nNOC to PVC: 5499\nNOC to AJL: 8996\nNOC to MMX: 1599\nNOC to YSO: 5406\nMMX to PVC: 6296\nMMX to AJL: 7706\nMMX to YSO: 6363\nAJL to PVC: 13357\nAJL to YSO: 13204\nYSO to PVC: 1881\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPD, KSA, BJL, LLI, LCK, VIL, MMJ, MYT, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nLPD to BJL: 9478\nLPD to VIL: 8639\nLPD to LLI: 15542\nLPD to LCK: 5428\nLPD to MMJ: 17256\nLPD to KSA: 15847\nLPD to BJZ: 9773\nLPD to MYT: 19666\nKSA to BJL: 18698\nKSA to VIL: 17664\nKSA to LLI: 14122\nKSA to LCK: 13699\nKSA to MMJ: 5682\nKSA to BJZ: 15796\nKSA to MYT: 8073\nBJL to VIL: 2098\nBJL to LLI: 6675\nBJL to LCK: 9023\nBJL to MMJ: 14494\nBJL to BJZ: 3604\nBJL to MYT: 13138\nLLI to VIL: 7836\nLLI to LCK: 14340\nLLI to MMJ: 10759\nLLI to BJZ: 6463\nLLI to MYT: 7810\nLCK to VIL: 8881\nLCK to MMJ: 14456\nLCK to BJZ: 8826\nLCK to MYT: 16713\nVIL to MMJ: 13460\nVIL to BJZ: 2542\nVIL to MYT: 12503\nMMJ to BJZ: 11592\nMMJ to MYT: 4796\nMYT to BJZ: 10870\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 57996,
"style": "rule"
}
|
{
"exact_answer": 57996,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LPD\", \"id\": 0}, {\"name\": \"KSA\", \"id\": 1}, {\"name\": \"BJL\", \"id\": 2}, {\"name\": \"LLI\", \"id\": 3}, {\"name\": \"LCK\", \"id\": 4}, {\"name\": \"VIL\", \"id\": 5}, {\"name\": \"MMJ\", \"id\": 6}, {\"name\": \"MYT\", \"id\": 7}, {\"name\": \"BJZ\", \"id\": 8}], \"links\": [{\"weight\": 9478, \"source\": 0, \"target\": 2}, {\"weight\": 8639, \"source\": 0, \"target\": 5}, {\"weight\": 15542, \"source\": 0, \"target\": 3}, {\"weight\": 5428, \"source\": 0, \"target\": 4}, {\"weight\": 17256, \"source\": 0, \"target\": 6}, {\"weight\": 15847, \"source\": 0, \"target\": 1}, {\"weight\": 9773, \"source\": 0, \"target\": 8}, {\"weight\": 19666, \"source\": 0, \"target\": 7}, {\"weight\": 18698, \"source\": 1, \"target\": 2}, {\"weight\": 17664, \"source\": 1, \"target\": 5}, {\"weight\": 14122, \"source\": 1, \"target\": 3}, {\"weight\": 13699, \"source\": 1, \"target\": 4}, {\"weight\": 5682, \"source\": 1, \"target\": 6}, {\"weight\": 15796, \"source\": 1, \"target\": 8}, {\"weight\": 8073, \"source\": 1, \"target\": 7}, {\"weight\": 2098, \"source\": 2, \"target\": 5}, {\"weight\": 6675, \"source\": 2, \"target\": 3}, {\"weight\": 9023, \"source\": 2, \"target\": 4}, {\"weight\": 14494, \"source\": 2, \"target\": 6}, {\"weight\": 3604, \"source\": 2, \"target\": 8}, {\"weight\": 13138, \"source\": 2, \"target\": 7}, {\"weight\": 7836, \"source\": 3, \"target\": 5}, {\"weight\": 14340, \"source\": 3, \"target\": 4}, {\"weight\": 10759, \"source\": 3, \"target\": 6}, {\"weight\": 6463, \"source\": 3, \"target\": 8}, {\"weight\": 7810, \"source\": 3, \"target\": 7}, {\"weight\": 8881, \"source\": 4, \"target\": 5}, {\"weight\": 14456, \"source\": 4, \"target\": 6}, {\"weight\": 8826, \"source\": 4, \"target\": 8}, {\"weight\": 16713, \"source\": 4, \"target\": 7}, {\"weight\": 13460, \"source\": 5, \"target\": 6}, {\"weight\": 2542, \"source\": 5, \"target\": 8}, {\"weight\": 12503, \"source\": 5, \"target\": 7}, {\"weight\": 11592, \"source\": 6, \"target\": 8}, {\"weight\": 4796, \"source\": 6, \"target\": 7}, {\"weight\": 10870, \"source\": 7, \"target\": 8}]}",
"id": 1888,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LPD, KSA, BJL, LLI, LCK, VIL, MMJ, MYT, BJZ\n- Travel distances (in kilometers) between each pair of airports:\nLPD to BJL: 9478\nLPD to VIL: 8639\nLPD to LLI: 15542\nLPD to LCK: 5428\nLPD to MMJ: 17256\nLPD to KSA: 15847\nLPD to BJZ: 9773\nLPD to MYT: 19666\nKSA to BJL: 18698\nKSA to VIL: 17664\nKSA to LLI: 14122\nKSA to LCK: 13699\nKSA to MMJ: 5682\nKSA to BJZ: 15796\nKSA to MYT: 8073\nBJL to VIL: 2098\nBJL to LLI: 6675\nBJL to LCK: 9023\nBJL to MMJ: 14494\nBJL to BJZ: 3604\nBJL to MYT: 13138\nLLI to VIL: 7836\nLLI to LCK: 14340\nLLI to MMJ: 10759\nLLI to BJZ: 6463\nLLI to MYT: 7810\nLCK to VIL: 8881\nLCK to MMJ: 14456\nLCK to BJZ: 8826\nLCK to MYT: 16713\nVIL to MMJ: 13460\nVIL to BJZ: 2542\nVIL to MYT: 12503\nMMJ to BJZ: 11592\nMMJ to MYT: 4796\nMYT to BJZ: 10870\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LWO, DIG, UII, SRY, CSY, HOM, HLA, QJH, YFJ\n- Travel distances (in kilometers) between each pair of airports:\nLWO to HOM: 11462\nLWO to CSY: 1826\nLWO to DIG: 7374\nLWO to YFJ: 9270\nLWO to SRY: 4085\nLWO to QJH: 5121\nLWO to HLA: 9545\nLWO to UII: 10196\nDIG to HOM: 13265\nDIG to CSY: 7104\nDIG to YFJ: 12585\nDIG to SRY: 4703\nDIG to QJH: 11616\nDIG to HLA: 11037\nDIG to UII: 15508\nUII to HOM: 7317\nUII to CSY: 11079\nUII to YFJ: 6068\nUII to SRY: 13980\nUII to QJH: 9234\nUII to HLA: 14811\nSRY to HOM: 15472\nSRY to CSY: 4404\nSRY to YFJ: 13280\nSRY to QJH: 9131\nSRY to HLA: 8358\nCSY to HOM: 12152\nCSY to YFJ: 9960\nCSY to QJH: 5811\nCSY to HLA: 10749\nHOM to YFJ: 4621\nHOM to QJH: 10307\nHOM to HLA: 19750\nHLA to YFJ: 17637\nHLA to QJH: 13991\nQJH to YFJ: 8115\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 61955,
"style": "rule"
}
|
{
"exact_answer": 61955,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"LWO\", \"id\": 0}, {\"name\": \"DIG\", \"id\": 1}, {\"name\": \"UII\", \"id\": 2}, {\"name\": \"SRY\", \"id\": 3}, {\"name\": \"CSY\", \"id\": 4}, {\"name\": \"HOM\", \"id\": 5}, {\"name\": \"HLA\", \"id\": 6}, {\"name\": \"QJH\", \"id\": 7}, {\"name\": \"YFJ\", \"id\": 8}], \"links\": [{\"weight\": 11462, \"source\": 0, \"target\": 5}, {\"weight\": 1826, \"source\": 0, \"target\": 4}, {\"weight\": 7374, \"source\": 0, \"target\": 1}, {\"weight\": 9270, \"source\": 0, \"target\": 8}, {\"weight\": 4085, \"source\": 0, \"target\": 3}, {\"weight\": 5121, \"source\": 0, \"target\": 7}, {\"weight\": 9545, \"source\": 0, \"target\": 6}, {\"weight\": 10196, \"source\": 0, \"target\": 2}, {\"weight\": 13265, \"source\": 1, \"target\": 5}, {\"weight\": 7104, \"source\": 1, \"target\": 4}, {\"weight\": 12585, \"source\": 1, \"target\": 8}, {\"weight\": 4703, \"source\": 1, \"target\": 3}, {\"weight\": 11616, \"source\": 1, \"target\": 7}, {\"weight\": 11037, \"source\": 1, \"target\": 6}, {\"weight\": 15508, \"source\": 1, \"target\": 2}, {\"weight\": 7317, \"source\": 2, \"target\": 5}, {\"weight\": 11079, \"source\": 2, \"target\": 4}, {\"weight\": 6068, \"source\": 2, \"target\": 8}, {\"weight\": 13980, \"source\": 2, \"target\": 3}, {\"weight\": 9234, \"source\": 2, \"target\": 7}, {\"weight\": 14811, \"source\": 2, \"target\": 6}, {\"weight\": 15472, \"source\": 3, \"target\": 5}, {\"weight\": 4404, \"source\": 3, \"target\": 4}, {\"weight\": 13280, \"source\": 3, \"target\": 8}, {\"weight\": 9131, \"source\": 3, \"target\": 7}, {\"weight\": 8358, \"source\": 3, \"target\": 6}, {\"weight\": 12152, \"source\": 4, \"target\": 5}, {\"weight\": 9960, \"source\": 4, \"target\": 8}, {\"weight\": 5811, \"source\": 4, \"target\": 7}, {\"weight\": 10749, \"source\": 4, \"target\": 6}, {\"weight\": 4621, \"source\": 5, \"target\": 8}, {\"weight\": 10307, \"source\": 5, \"target\": 7}, {\"weight\": 19750, \"source\": 5, \"target\": 6}, {\"weight\": 17637, \"source\": 6, \"target\": 8}, {\"weight\": 13991, \"source\": 6, \"target\": 7}, {\"weight\": 8115, \"source\": 7, \"target\": 8}]}",
"id": 1889,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: LWO, DIG, UII, SRY, CSY, HOM, HLA, QJH, YFJ\n- Travel distances (in kilometers) between each pair of airports:\nLWO to HOM: 11462\nLWO to CSY: 1826\nLWO to DIG: 7374\nLWO to YFJ: 9270\nLWO to SRY: 4085\nLWO to QJH: 5121\nLWO to HLA: 9545\nLWO to UII: 10196\nDIG to HOM: 13265\nDIG to CSY: 7104\nDIG to YFJ: 12585\nDIG to SRY: 4703\nDIG to QJH: 11616\nDIG to HLA: 11037\nDIG to UII: 15508\nUII to HOM: 7317\nUII to CSY: 11079\nUII to YFJ: 6068\nUII to SRY: 13980\nUII to QJH: 9234\nUII to HLA: 14811\nSRY to HOM: 15472\nSRY to CSY: 4404\nSRY to YFJ: 13280\nSRY to QJH: 9131\nSRY to HLA: 8358\nCSY to HOM: 12152\nCSY to YFJ: 9960\nCSY to QJH: 5811\nCSY to HLA: 10749\nHOM to YFJ: 4621\nHOM to QJH: 10307\nHOM to HLA: 19750\nHLA to YFJ: 17637\nHLA to QJH: 13991\nQJH to YFJ: 8115\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BKG, ELF, DBV, VIE, PNZ, TIA, BIM, SNW, ADB\n- Travel distances (in kilometers) between each pair of airports:\nBKG to BIM: 2409\nBKG to DBV: 8880\nBKG to VIE: 8397\nBKG to SNW: 14850\nBKG to ADB: 9754\nBKG to TIA: 9054\nBKG to PNZ: 9032\nBKG to ELF: 13108\nELF to BIM: 13238\nELF to DBV: 4238\nELF to VIE: 4792\nELF to SNW: 8011\nELF to ADB: 3817\nELF to TIA: 4063\nELF to PNZ: 10868\nDBV to VIE: 631\nDBV to BIM: 9035\nDBV to SNW: 8301\nDBV to ADB: 987\nDBV to TIA: 1126\nDBV to PNZ: 8829\nVIE to TIA: 784\nVIE to ADB: 1386\nVIE to BIM: 8595\nVIE to SNW: 8143\nVIE to PNZ: 8796\nPNZ to BIM: 7046\nPNZ to SNW: 16833\nPNZ to ADB: 9663\nPNZ to TIA: 8952\nTIA to BIM: 9209\nTIA to SNW: 7916\nTIA to ADB: 812\nBIM to SNW: 16065\nBIM to ADB: 9920\nSNW to ADB: 7314\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 46614,
"style": "rule"
}
|
{
"exact_answer": 46614,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BKG\", \"id\": 0}, {\"name\": \"ELF\", \"id\": 1}, {\"name\": \"DBV\", \"id\": 2}, {\"name\": \"VIE\", \"id\": 3}, {\"name\": \"PNZ\", \"id\": 4}, {\"name\": \"TIA\", \"id\": 5}, {\"name\": \"BIM\", \"id\": 6}, {\"name\": \"SNW\", \"id\": 7}, {\"name\": \"ADB\", \"id\": 8}], \"links\": [{\"weight\": 2409, \"source\": 0, \"target\": 6}, {\"weight\": 8880, \"source\": 0, \"target\": 2}, {\"weight\": 8397, \"source\": 0, \"target\": 3}, {\"weight\": 14850, \"source\": 0, \"target\": 7}, {\"weight\": 9754, \"source\": 0, \"target\": 8}, {\"weight\": 9054, \"source\": 0, \"target\": 5}, {\"weight\": 9032, \"source\": 0, \"target\": 4}, {\"weight\": 13108, \"source\": 0, \"target\": 1}, {\"weight\": 13238, \"source\": 1, \"target\": 6}, {\"weight\": 4238, \"source\": 1, \"target\": 2}, {\"weight\": 4792, \"source\": 1, \"target\": 3}, {\"weight\": 8011, \"source\": 1, \"target\": 7}, {\"weight\": 3817, \"source\": 1, \"target\": 8}, {\"weight\": 4063, \"source\": 1, \"target\": 5}, {\"weight\": 10868, \"source\": 1, \"target\": 4}, {\"weight\": 631, \"source\": 2, \"target\": 3}, {\"weight\": 9035, \"source\": 2, \"target\": 6}, {\"weight\": 8301, \"source\": 2, \"target\": 7}, {\"weight\": 987, \"source\": 2, \"target\": 8}, {\"weight\": 1126, \"source\": 2, \"target\": 5}, {\"weight\": 8829, \"source\": 2, \"target\": 4}, {\"weight\": 784, \"source\": 3, \"target\": 5}, {\"weight\": 1386, \"source\": 3, \"target\": 8}, {\"weight\": 8595, \"source\": 3, \"target\": 6}, {\"weight\": 8143, \"source\": 3, \"target\": 7}, {\"weight\": 8796, \"source\": 3, \"target\": 4}, {\"weight\": 7046, \"source\": 4, \"target\": 6}, {\"weight\": 16833, \"source\": 4, \"target\": 7}, {\"weight\": 9663, \"source\": 4, \"target\": 8}, {\"weight\": 8952, \"source\": 4, \"target\": 5}, {\"weight\": 9209, \"source\": 5, \"target\": 6}, {\"weight\": 7916, \"source\": 5, \"target\": 7}, {\"weight\": 812, \"source\": 5, \"target\": 8}, {\"weight\": 16065, \"source\": 6, \"target\": 7}, {\"weight\": 9920, \"source\": 6, \"target\": 8}, {\"weight\": 7314, \"source\": 7, \"target\": 8}]}",
"id": 1890,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BKG, ELF, DBV, VIE, PNZ, TIA, BIM, SNW, ADB\n- Travel distances (in kilometers) between each pair of airports:\nBKG to BIM: 2409\nBKG to DBV: 8880\nBKG to VIE: 8397\nBKG to SNW: 14850\nBKG to ADB: 9754\nBKG to TIA: 9054\nBKG to PNZ: 9032\nBKG to ELF: 13108\nELF to BIM: 13238\nELF to DBV: 4238\nELF to VIE: 4792\nELF to SNW: 8011\nELF to ADB: 3817\nELF to TIA: 4063\nELF to PNZ: 10868\nDBV to VIE: 631\nDBV to BIM: 9035\nDBV to SNW: 8301\nDBV to ADB: 987\nDBV to TIA: 1126\nDBV to PNZ: 8829\nVIE to TIA: 784\nVIE to ADB: 1386\nVIE to BIM: 8595\nVIE to SNW: 8143\nVIE to PNZ: 8796\nPNZ to BIM: 7046\nPNZ to SNW: 16833\nPNZ to ADB: 9663\nPNZ to TIA: 8952\nTIA to BIM: 9209\nTIA to SNW: 7916\nTIA to ADB: 812\nBIM to SNW: 16065\nBIM to ADB: 9920\nSNW to ADB: 7314\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SXB, LYG, TPS, LAR, CRI, BSC, BRN, TSJ, YAM\n- Travel distances (in kilometers) between each pair of airports:\nSXB to BSC: 9453\nSXB to YAM: 6864\nSXB to LYG: 8631\nSXB to TPS: 1495\nSXB to TSJ: 9438\nSXB to BRN: 1096\nSXB to LAR: 8374\nSXB to CRI: 8092\nLYG to BSC: 15874\nLYG to YAM: 11712\nLYG to TPS: 9258\nLYG to TSJ: 1656\nLYG to BRN: 8736\nLYG to LAR: 10843\nLYG to CRI: 13708\nTPS to BSC: 9879\nTPS to YAM: 7904\nTPS to TSJ: 10089\nTPS to BRN: 1526\nTPS to LAR: 9501\nTPS to CRI: 9219\nLAR to BSC: 5401\nLAR to YAM: 2460\nLAR to TSJ: 10538\nLAR to BRN: 8566\nLAR to CRI: 3624\nCRI to BSC: 3184\nCRI to YAM: 2995\nCRI to TSJ: 13653\nCRI to BRN: 8370\nBSC to YAM: 5293\nBSC to TSJ: 15566\nBSC to BRN: 9703\nBRN to YAM: 6975\nBRN to TSJ: 9549\nTSJ to YAM: 11222\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 41965,
"style": "rule"
}
|
{
"exact_answer": 41965,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SXB\", \"id\": 0}, {\"name\": \"LYG\", \"id\": 1}, {\"name\": \"TPS\", \"id\": 2}, {\"name\": \"LAR\", \"id\": 3}, {\"name\": \"CRI\", \"id\": 4}, {\"name\": \"BSC\", \"id\": 5}, {\"name\": \"BRN\", \"id\": 6}, {\"name\": \"TSJ\", \"id\": 7}, {\"name\": \"YAM\", \"id\": 8}], \"links\": [{\"weight\": 9453, \"source\": 0, \"target\": 5}, {\"weight\": 6864, \"source\": 0, \"target\": 8}, {\"weight\": 8631, \"source\": 0, \"target\": 1}, {\"weight\": 1495, \"source\": 0, \"target\": 2}, {\"weight\": 9438, \"source\": 0, \"target\": 7}, {\"weight\": 1096, \"source\": 0, \"target\": 6}, {\"weight\": 8374, \"source\": 0, \"target\": 3}, {\"weight\": 8092, \"source\": 0, \"target\": 4}, {\"weight\": 15874, \"source\": 1, \"target\": 5}, {\"weight\": 11712, \"source\": 1, \"target\": 8}, {\"weight\": 9258, \"source\": 1, \"target\": 2}, {\"weight\": 1656, \"source\": 1, \"target\": 7}, {\"weight\": 8736, \"source\": 1, \"target\": 6}, {\"weight\": 10843, \"source\": 1, \"target\": 3}, {\"weight\": 13708, \"source\": 1, \"target\": 4}, {\"weight\": 9879, \"source\": 2, \"target\": 5}, {\"weight\": 7904, \"source\": 2, \"target\": 8}, {\"weight\": 10089, \"source\": 2, \"target\": 7}, {\"weight\": 1526, \"source\": 2, \"target\": 6}, {\"weight\": 9501, \"source\": 2, \"target\": 3}, {\"weight\": 9219, \"source\": 2, \"target\": 4}, {\"weight\": 5401, \"source\": 3, \"target\": 5}, {\"weight\": 2460, \"source\": 3, \"target\": 8}, {\"weight\": 10538, \"source\": 3, \"target\": 7}, {\"weight\": 8566, \"source\": 3, \"target\": 6}, {\"weight\": 3624, \"source\": 3, \"target\": 4}, {\"weight\": 3184, \"source\": 4, \"target\": 5}, {\"weight\": 2995, \"source\": 4, \"target\": 8}, {\"weight\": 13653, \"source\": 4, \"target\": 7}, {\"weight\": 8370, \"source\": 4, \"target\": 6}, {\"weight\": 5293, \"source\": 5, \"target\": 8}, {\"weight\": 15566, \"source\": 5, \"target\": 7}, {\"weight\": 9703, \"source\": 5, \"target\": 6}, {\"weight\": 6975, \"source\": 6, \"target\": 8}, {\"weight\": 9549, \"source\": 6, \"target\": 7}, {\"weight\": 11222, \"source\": 7, \"target\": 8}]}",
"id": 1891,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SXB, LYG, TPS, LAR, CRI, BSC, BRN, TSJ, YAM\n- Travel distances (in kilometers) between each pair of airports:\nSXB to BSC: 9453\nSXB to YAM: 6864\nSXB to LYG: 8631\nSXB to TPS: 1495\nSXB to TSJ: 9438\nSXB to BRN: 1096\nSXB to LAR: 8374\nSXB to CRI: 8092\nLYG to BSC: 15874\nLYG to YAM: 11712\nLYG to TPS: 9258\nLYG to TSJ: 1656\nLYG to BRN: 8736\nLYG to LAR: 10843\nLYG to CRI: 13708\nTPS to BSC: 9879\nTPS to YAM: 7904\nTPS to TSJ: 10089\nTPS to BRN: 1526\nTPS to LAR: 9501\nTPS to CRI: 9219\nLAR to BSC: 5401\nLAR to YAM: 2460\nLAR to TSJ: 10538\nLAR to BRN: 8566\nLAR to CRI: 3624\nCRI to BSC: 3184\nCRI to YAM: 2995\nCRI to TSJ: 13653\nCRI to BRN: 8370\nBSC to YAM: 5293\nBSC to TSJ: 15566\nBSC to BRN: 9703\nBRN to YAM: 6975\nBRN to TSJ: 9549\nTSJ to YAM: 11222\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRO, YRL, OXB, YKU, QJH, TAP, YVO, YVM, CRI\n- Travel distances (in kilometers) between each pair of airports:\nKRO to OXB: 8501\nKRO to YVM: 10896\nKRO to YVO: 9554\nKRO to TAP: 12534\nKRO to QJH: 6835\nKRO to YRL: 10372\nKRO to CRI: 11161\nKRO to YKU: 10198\nYRL to OXB: 8426\nYRL to YVM: 3386\nYRL to YVO: 1847\nYRL to TAP: 4557\nYRL to QJH: 7503\nYRL to CRI: 3851\nYRL to YKU: 1720\nOXB to YVM: 9317\nOXB to YVO: 7190\nOXB to TAP: 9969\nOXB to QJH: 8378\nOXB to CRI: 8681\nOXB to YKU: 7834\nYKU to YVO: 644\nYKU to YVM: 1927\nYKU to TAP: 4851\nYKU to QJH: 7329\nYKU to CRI: 3756\nQJH to YVM: 8812\nQJH to YVO: 6685\nQJH to TAP: 9665\nQJH to CRI: 8292\nTAP to YVM: 6485\nTAP to YVO: 4402\nTAP to CRI: 2489\nYVO to YVM: 2571\nYVO to CRI: 3136\nYVM to CRI: 5250\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 43705,
"style": "rule"
}
|
{
"exact_answer": 43705,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"KRO\", \"id\": 0}, {\"name\": \"YRL\", \"id\": 1}, {\"name\": \"OXB\", \"id\": 2}, {\"name\": \"YKU\", \"id\": 3}, {\"name\": \"QJH\", \"id\": 4}, {\"name\": \"TAP\", \"id\": 5}, {\"name\": \"YVO\", \"id\": 6}, {\"name\": \"YVM\", \"id\": 7}, {\"name\": \"CRI\", \"id\": 8}], \"links\": [{\"weight\": 8501, \"source\": 0, \"target\": 2}, {\"weight\": 10896, \"source\": 0, \"target\": 7}, {\"weight\": 9554, \"source\": 0, \"target\": 6}, {\"weight\": 12534, \"source\": 0, \"target\": 5}, {\"weight\": 6835, \"source\": 0, \"target\": 4}, {\"weight\": 10372, \"source\": 0, \"target\": 1}, {\"weight\": 11161, \"source\": 0, \"target\": 8}, {\"weight\": 10198, \"source\": 0, \"target\": 3}, {\"weight\": 8426, \"source\": 1, \"target\": 2}, {\"weight\": 3386, \"source\": 1, \"target\": 7}, {\"weight\": 1847, \"source\": 1, \"target\": 6}, {\"weight\": 4557, \"source\": 1, \"target\": 5}, {\"weight\": 7503, \"source\": 1, \"target\": 4}, {\"weight\": 3851, \"source\": 1, \"target\": 8}, {\"weight\": 1720, \"source\": 1, \"target\": 3}, {\"weight\": 9317, \"source\": 2, \"target\": 7}, {\"weight\": 7190, \"source\": 2, \"target\": 6}, {\"weight\": 9969, \"source\": 2, \"target\": 5}, {\"weight\": 8378, \"source\": 2, \"target\": 4}, {\"weight\": 8681, \"source\": 2, \"target\": 8}, {\"weight\": 7834, \"source\": 2, \"target\": 3}, {\"weight\": 644, \"source\": 3, \"target\": 6}, {\"weight\": 1927, \"source\": 3, \"target\": 7}, {\"weight\": 4851, \"source\": 3, \"target\": 5}, {\"weight\": 7329, \"source\": 3, \"target\": 4}, {\"weight\": 3756, \"source\": 3, \"target\": 8}, {\"weight\": 8812, \"source\": 4, \"target\": 7}, {\"weight\": 6685, \"source\": 4, \"target\": 6}, {\"weight\": 9665, \"source\": 4, \"target\": 5}, {\"weight\": 8292, \"source\": 4, \"target\": 8}, {\"weight\": 6485, \"source\": 5, \"target\": 7}, {\"weight\": 4402, \"source\": 5, \"target\": 6}, {\"weight\": 2489, \"source\": 5, \"target\": 8}, {\"weight\": 2571, \"source\": 6, \"target\": 7}, {\"weight\": 3136, \"source\": 6, \"target\": 8}, {\"weight\": 5250, \"source\": 7, \"target\": 8}]}",
"id": 1892,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: KRO, YRL, OXB, YKU, QJH, TAP, YVO, YVM, CRI\n- Travel distances (in kilometers) between each pair of airports:\nKRO to OXB: 8501\nKRO to YVM: 10896\nKRO to YVO: 9554\nKRO to TAP: 12534\nKRO to QJH: 6835\nKRO to YRL: 10372\nKRO to CRI: 11161\nKRO to YKU: 10198\nYRL to OXB: 8426\nYRL to YVM: 3386\nYRL to YVO: 1847\nYRL to TAP: 4557\nYRL to QJH: 7503\nYRL to CRI: 3851\nYRL to YKU: 1720\nOXB to YVM: 9317\nOXB to YVO: 7190\nOXB to TAP: 9969\nOXB to QJH: 8378\nOXB to CRI: 8681\nOXB to YKU: 7834\nYKU to YVO: 644\nYKU to YVM: 1927\nYKU to TAP: 4851\nYKU to QJH: 7329\nYKU to CRI: 3756\nQJH to YVM: 8812\nQJH to YVO: 6685\nQJH to TAP: 9665\nQJH to CRI: 8292\nTAP to YVM: 6485\nTAP to YVO: 4402\nTAP to CRI: 2489\nYVO to YVM: 2571\nYVO to CRI: 3136\nYVM to CRI: 5250\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EGN, MJM, EIS, PHS, RCB, GKK, ETR, ICI, TBW\n- Travel distances (in kilometers) between each pair of airports:\nEGN to EIS: 12820\nEGN to MJM: 5339\nEGN to PHS: 8678\nEGN to ETR: 15202\nEGN to ICI: 18012\nEGN to GKK: 7023\nEGN to RCB: 6253\nEGN to TBW: 6088\nMJM to EIS: 12433\nMJM to PHS: 10138\nMJM to ETR: 12754\nMJM to ICI: 16855\nMJM to GKK: 8555\nMJM to RCB: 2843\nMJM to TBW: 8295\nEIS to PHS: 16416\nEIS to ETR: 3071\nEIS to ICI: 14825\nEIS to GKK: 15547\nEIS to RCB: 13023\nEIS to TBW: 9648\nPHS to ETR: 18942\nPHS to ICI: 10194\nPHS to GKK: 4137\nPHS to RCB: 10331\nPHS to TBW: 7765\nRCB to ETR: 12664\nRCB to ICI: 14966\nRCB to GKK: 8401\nRCB to TBW: 10022\nGKK to ETR: 18192\nGKK to ICI: 12451\nGKK to TBW: 7360\nETR to ICI: 15292\nETR to TBW: 12548\nICI to TBW: 15607\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 65013,
"style": "rule"
}
|
{
"exact_answer": 65013,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"EGN\", \"id\": 0}, {\"name\": \"MJM\", \"id\": 1}, {\"name\": \"EIS\", \"id\": 2}, {\"name\": \"PHS\", \"id\": 3}, {\"name\": \"RCB\", \"id\": 4}, {\"name\": \"GKK\", \"id\": 5}, {\"name\": \"ETR\", \"id\": 6}, {\"name\": \"ICI\", \"id\": 7}, {\"name\": \"TBW\", \"id\": 8}], \"links\": [{\"weight\": 12820, \"source\": 0, \"target\": 2}, {\"weight\": 5339, \"source\": 0, \"target\": 1}, {\"weight\": 8678, \"source\": 0, \"target\": 3}, {\"weight\": 15202, \"source\": 0, \"target\": 6}, {\"weight\": 18012, \"source\": 0, \"target\": 7}, {\"weight\": 7023, \"source\": 0, \"target\": 5}, {\"weight\": 6253, \"source\": 0, \"target\": 4}, {\"weight\": 6088, \"source\": 0, \"target\": 8}, {\"weight\": 12433, \"source\": 1, \"target\": 2}, {\"weight\": 10138, \"source\": 1, \"target\": 3}, {\"weight\": 12754, \"source\": 1, \"target\": 6}, {\"weight\": 16855, \"source\": 1, \"target\": 7}, {\"weight\": 8555, \"source\": 1, \"target\": 5}, {\"weight\": 2843, \"source\": 1, \"target\": 4}, {\"weight\": 8295, \"source\": 1, \"target\": 8}, {\"weight\": 16416, \"source\": 2, \"target\": 3}, {\"weight\": 3071, \"source\": 2, \"target\": 6}, {\"weight\": 14825, \"source\": 2, \"target\": 7}, {\"weight\": 15547, \"source\": 2, \"target\": 5}, {\"weight\": 13023, \"source\": 2, \"target\": 4}, {\"weight\": 9648, \"source\": 2, \"target\": 8}, {\"weight\": 18942, \"source\": 3, \"target\": 6}, {\"weight\": 10194, \"source\": 3, \"target\": 7}, {\"weight\": 4137, \"source\": 3, \"target\": 5}, {\"weight\": 10331, \"source\": 3, \"target\": 4}, {\"weight\": 7765, \"source\": 3, \"target\": 8}, {\"weight\": 12664, \"source\": 4, \"target\": 6}, {\"weight\": 14966, \"source\": 4, \"target\": 7}, {\"weight\": 8401, \"source\": 4, \"target\": 5}, {\"weight\": 10022, \"source\": 4, \"target\": 8}, {\"weight\": 18192, \"source\": 5, \"target\": 6}, {\"weight\": 12451, \"source\": 5, \"target\": 7}, {\"weight\": 7360, \"source\": 5, \"target\": 8}, {\"weight\": 15292, \"source\": 6, \"target\": 7}, {\"weight\": 12548, \"source\": 6, \"target\": 8}, {\"weight\": 15607, \"source\": 7, \"target\": 8}]}",
"id": 1893,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: EGN, MJM, EIS, PHS, RCB, GKK, ETR, ICI, TBW\n- Travel distances (in kilometers) between each pair of airports:\nEGN to EIS: 12820\nEGN to MJM: 5339\nEGN to PHS: 8678\nEGN to ETR: 15202\nEGN to ICI: 18012\nEGN to GKK: 7023\nEGN to RCB: 6253\nEGN to TBW: 6088\nMJM to EIS: 12433\nMJM to PHS: 10138\nMJM to ETR: 12754\nMJM to ICI: 16855\nMJM to GKK: 8555\nMJM to RCB: 2843\nMJM to TBW: 8295\nEIS to PHS: 16416\nEIS to ETR: 3071\nEIS to ICI: 14825\nEIS to GKK: 15547\nEIS to RCB: 13023\nEIS to TBW: 9648\nPHS to ETR: 18942\nPHS to ICI: 10194\nPHS to GKK: 4137\nPHS to RCB: 10331\nPHS to TBW: 7765\nRCB to ETR: 12664\nRCB to ICI: 14966\nRCB to GKK: 8401\nRCB to TBW: 10022\nGKK to ETR: 18192\nGKK to ICI: 12451\nGKK to TBW: 7360\nETR to ICI: 15292\nETR to TBW: 12548\nICI to TBW: 15607\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, XIC, RUN, KBC, KTW, TQA, KOA, TUU, COQ\n- Travel distances (in kilometers) between each pair of airports:\nSPC to XIC: 11396\nSPC to KTW: 3942\nSPC to KBC: 12021\nSPC to KOA: 13721\nSPC to RUN: 10411\nSPC to COQ: 10487\nSPC to TUU: 5358\nSPC to TQA: 7175\nXIC to KTW: 7513\nXIC to KBC: 13218\nXIC to KOA: 10091\nXIC to RUN: 7828\nXIC to COQ: 3003\nXIC to TUU: 6920\nXIC to TQA: 11847\nRUN to KTW: 9066\nRUN to KBC: 19891\nRUN to KOA: 16949\nRUN to COQ: 10626\nRUN to TUU: 6225\nRUN to TQA: 13888\nKBC to KTW: 11316\nKBC to KOA: 5341\nKBC to COQ: 12412\nKBC to TUU: 14304\nKBC to TQA: 10919\nKTW to KOA: 12972\nKTW to COQ: 6602\nKTW to TUU: 3360\nKTW to TQA: 5068\nTQA to KOA: 12575\nTQA to COQ: 10826\nTQA to TUU: 7912\nKOA to COQ: 9046\nKOA to TUU: 15889\nTUU to COQ: 7430\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56730,
"style": "rule"
}
|
{
"exact_answer": 56730,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SPC\", \"id\": 0}, {\"name\": \"XIC\", \"id\": 1}, {\"name\": \"RUN\", \"id\": 2}, {\"name\": \"KBC\", \"id\": 3}, {\"name\": \"KTW\", \"id\": 4}, {\"name\": \"TQA\", \"id\": 5}, {\"name\": \"KOA\", \"id\": 6}, {\"name\": \"TUU\", \"id\": 7}, {\"name\": \"COQ\", \"id\": 8}], \"links\": [{\"weight\": 11396, \"source\": 0, \"target\": 1}, {\"weight\": 3942, \"source\": 0, \"target\": 4}, {\"weight\": 12021, \"source\": 0, \"target\": 3}, {\"weight\": 13721, \"source\": 0, \"target\": 6}, {\"weight\": 10411, \"source\": 0, \"target\": 2}, {\"weight\": 10487, \"source\": 0, \"target\": 8}, {\"weight\": 5358, \"source\": 0, \"target\": 7}, {\"weight\": 7175, \"source\": 0, \"target\": 5}, {\"weight\": 7513, \"source\": 1, \"target\": 4}, {\"weight\": 13218, \"source\": 1, \"target\": 3}, {\"weight\": 10091, \"source\": 1, \"target\": 6}, {\"weight\": 7828, \"source\": 1, \"target\": 2}, {\"weight\": 3003, \"source\": 1, \"target\": 8}, {\"weight\": 6920, \"source\": 1, \"target\": 7}, {\"weight\": 11847, \"source\": 1, \"target\": 5}, {\"weight\": 9066, \"source\": 2, \"target\": 4}, {\"weight\": 19891, \"source\": 2, \"target\": 3}, {\"weight\": 16949, \"source\": 2, \"target\": 6}, {\"weight\": 10626, \"source\": 2, \"target\": 8}, {\"weight\": 6225, \"source\": 2, \"target\": 7}, {\"weight\": 13888, \"source\": 2, \"target\": 5}, {\"weight\": 11316, \"source\": 3, \"target\": 4}, {\"weight\": 5341, \"source\": 3, \"target\": 6}, {\"weight\": 12412, \"source\": 3, \"target\": 8}, {\"weight\": 14304, \"source\": 3, \"target\": 7}, {\"weight\": 10919, \"source\": 3, \"target\": 5}, {\"weight\": 12972, \"source\": 4, \"target\": 6}, {\"weight\": 6602, \"source\": 4, \"target\": 8}, {\"weight\": 3360, \"source\": 4, \"target\": 7}, {\"weight\": 5068, \"source\": 4, \"target\": 5}, {\"weight\": 12575, \"source\": 5, \"target\": 6}, {\"weight\": 10826, \"source\": 5, \"target\": 8}, {\"weight\": 7912, \"source\": 5, \"target\": 7}, {\"weight\": 9046, \"source\": 6, \"target\": 8}, {\"weight\": 15889, \"source\": 6, \"target\": 7}, {\"weight\": 7430, \"source\": 7, \"target\": 8}]}",
"id": 1894,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SPC, XIC, RUN, KBC, KTW, TQA, KOA, TUU, COQ\n- Travel distances (in kilometers) between each pair of airports:\nSPC to XIC: 11396\nSPC to KTW: 3942\nSPC to KBC: 12021\nSPC to KOA: 13721\nSPC to RUN: 10411\nSPC to COQ: 10487\nSPC to TUU: 5358\nSPC to TQA: 7175\nXIC to KTW: 7513\nXIC to KBC: 13218\nXIC to KOA: 10091\nXIC to RUN: 7828\nXIC to COQ: 3003\nXIC to TUU: 6920\nXIC to TQA: 11847\nRUN to KTW: 9066\nRUN to KBC: 19891\nRUN to KOA: 16949\nRUN to COQ: 10626\nRUN to TUU: 6225\nRUN to TQA: 13888\nKBC to KTW: 11316\nKBC to KOA: 5341\nKBC to COQ: 12412\nKBC to TUU: 14304\nKBC to TQA: 10919\nKTW to KOA: 12972\nKTW to COQ: 6602\nKTW to TUU: 3360\nKTW to TQA: 5068\nTQA to KOA: 12575\nTQA to COQ: 10826\nTQA to TUU: 7912\nKOA to COQ: 9046\nKOA to TUU: 15889\nTUU to COQ: 7430\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PWQ, MSN, XTG, IUI, WEI, HNM, ICN, ZSA, PLO\n- Travel distances (in kilometers) between each pair of airports:\nPWQ to ICN: 5154\nPWQ to MSN: 10925\nPWQ to ZSA: 12147\nPWQ to IUI: 8305\nPWQ to HNM: 12590\nPWQ to XTG: 12962\nPWQ to WEI: 11287\nPWQ to PLO: 11945\nMSN to ICN: 10694\nMSN to ZSA: 2603\nMSN to IUI: 7453\nMSN to HNM: 6647\nMSN to XTG: 15161\nMSN to WEI: 16257\nMSN to PLO: 16108\nXTG to ICN: 8647\nXTG to ZSA: 16688\nXTG to IUI: 20558\nXTG to HNM: 8675\nXTG to WEI: 2932\nXTG to PLO: 2783\nIUI to ICN: 11917\nIUI to ZSA: 8646\nIUI to HNM: 12516\nIUI to WEI: 18885\nIUI to PLO: 19753\nWEI to ICN: 7228\nWEI to ZSA: 17784\nWEI to HNM: 9771\nWEI to PLO: 3000\nHNM to ICN: 7558\nHNM to ZSA: 8379\nHNM to PLO: 9622\nICN to ZSA: 12949\nICN to PLO: 8658\nZSA to PLO: 17623\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 53041,
"style": "rule"
}
|
{
"exact_answer": 53041,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"PWQ\", \"id\": 0}, {\"name\": \"MSN\", \"id\": 1}, {\"name\": \"XTG\", \"id\": 2}, {\"name\": \"IUI\", \"id\": 3}, {\"name\": \"WEI\", \"id\": 4}, {\"name\": \"HNM\", \"id\": 5}, {\"name\": \"ICN\", \"id\": 6}, {\"name\": \"ZSA\", \"id\": 7}, {\"name\": \"PLO\", \"id\": 8}], \"links\": [{\"weight\": 5154, \"source\": 0, \"target\": 6}, {\"weight\": 10925, \"source\": 0, \"target\": 1}, {\"weight\": 12147, \"source\": 0, \"target\": 7}, {\"weight\": 8305, \"source\": 0, \"target\": 3}, {\"weight\": 12590, \"source\": 0, \"target\": 5}, {\"weight\": 12962, \"source\": 0, \"target\": 2}, {\"weight\": 11287, \"source\": 0, \"target\": 4}, {\"weight\": 11945, \"source\": 0, \"target\": 8}, {\"weight\": 10694, \"source\": 1, \"target\": 6}, {\"weight\": 2603, \"source\": 1, \"target\": 7}, {\"weight\": 7453, \"source\": 1, \"target\": 3}, {\"weight\": 6647, \"source\": 1, \"target\": 5}, {\"weight\": 15161, \"source\": 1, \"target\": 2}, {\"weight\": 16257, \"source\": 1, \"target\": 4}, {\"weight\": 16108, \"source\": 1, \"target\": 8}, {\"weight\": 8647, \"source\": 2, \"target\": 6}, {\"weight\": 16688, \"source\": 2, \"target\": 7}, {\"weight\": 20558, \"source\": 2, \"target\": 3}, {\"weight\": 8675, \"source\": 2, \"target\": 5}, {\"weight\": 2932, \"source\": 2, \"target\": 4}, {\"weight\": 2783, \"source\": 2, \"target\": 8}, {\"weight\": 11917, \"source\": 3, \"target\": 6}, {\"weight\": 8646, \"source\": 3, \"target\": 7}, {\"weight\": 12516, \"source\": 3, \"target\": 5}, {\"weight\": 18885, \"source\": 3, \"target\": 4}, {\"weight\": 19753, \"source\": 3, \"target\": 8}, {\"weight\": 7228, \"source\": 4, \"target\": 6}, {\"weight\": 17784, \"source\": 4, \"target\": 7}, {\"weight\": 9771, \"source\": 4, \"target\": 5}, {\"weight\": 3000, \"source\": 4, \"target\": 8}, {\"weight\": 7558, \"source\": 5, \"target\": 6}, {\"weight\": 8379, \"source\": 5, \"target\": 7}, {\"weight\": 9622, \"source\": 5, \"target\": 8}, {\"weight\": 12949, \"source\": 6, \"target\": 7}, {\"weight\": 8658, \"source\": 6, \"target\": 8}, {\"weight\": 17623, \"source\": 7, \"target\": 8}]}",
"id": 1895,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: PWQ, MSN, XTG, IUI, WEI, HNM, ICN, ZSA, PLO\n- Travel distances (in kilometers) between each pair of airports:\nPWQ to ICN: 5154\nPWQ to MSN: 10925\nPWQ to ZSA: 12147\nPWQ to IUI: 8305\nPWQ to HNM: 12590\nPWQ to XTG: 12962\nPWQ to WEI: 11287\nPWQ to PLO: 11945\nMSN to ICN: 10694\nMSN to ZSA: 2603\nMSN to IUI: 7453\nMSN to HNM: 6647\nMSN to XTG: 15161\nMSN to WEI: 16257\nMSN to PLO: 16108\nXTG to ICN: 8647\nXTG to ZSA: 16688\nXTG to IUI: 20558\nXTG to HNM: 8675\nXTG to WEI: 2932\nXTG to PLO: 2783\nIUI to ICN: 11917\nIUI to ZSA: 8646\nIUI to HNM: 12516\nIUI to WEI: 18885\nIUI to PLO: 19753\nWEI to ICN: 7228\nWEI to ZSA: 17784\nWEI to HNM: 9771\nWEI to PLO: 3000\nHNM to ICN: 7558\nHNM to ZSA: 8379\nHNM to PLO: 9622\nICN to ZSA: 12949\nICN to PLO: 8658\nZSA to PLO: 17623\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DGA, AHO, FSM, ZEL, SSR, GIU, RGA, USH, BSD\n- Travel distances (in kilometers) between each pair of airports:\nDGA to ZEL: 5265\nDGA to RGA: 8606\nDGA to USH: 8708\nDGA to FSM: 2332\nDGA to AHO: 9390\nDGA to BSD: 15636\nDGA to SSR: 13776\nDGA to GIU: 17099\nAHO to ZEL: 9429\nAHO to RGA: 13287\nAHO to USH: 13407\nAHO to FSM: 8890\nAHO to BSD: 9153\nAHO to SSR: 17758\nAHO to GIU: 8057\nFSM to ZEL: 3676\nFSM to RGA: 10796\nFSM to USH: 10898\nFSM to BSD: 14152\nFSM to SSR: 12575\nFSM to GIU: 16147\nZEL to RGA: 13595\nZEL to USH: 13697\nZEL to BSD: 11458\nZEL to SSR: 11285\nZEL to GIU: 14220\nSSR to RGA: 14823\nSSR to USH: 14925\nSSR to BSD: 9653\nSSR to GIU: 10815\nGIU to RGA: 18228\nGIU to USH: 18348\nGIU to BSD: 3570\nRGA to USH: 628\nRGA to BSD: 21216\nUSH to BSD: 21334\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 60876,
"style": "rule"
}
|
{
"exact_answer": 60876,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"DGA\", \"id\": 0}, {\"name\": \"AHO\", \"id\": 1}, {\"name\": \"FSM\", \"id\": 2}, {\"name\": \"ZEL\", \"id\": 3}, {\"name\": \"SSR\", \"id\": 4}, {\"name\": \"GIU\", \"id\": 5}, {\"name\": \"RGA\", \"id\": 6}, {\"name\": \"USH\", \"id\": 7}, {\"name\": \"BSD\", \"id\": 8}], \"links\": [{\"weight\": 5265, \"source\": 0, \"target\": 3}, {\"weight\": 8606, \"source\": 0, \"target\": 6}, {\"weight\": 8708, \"source\": 0, \"target\": 7}, {\"weight\": 2332, \"source\": 0, \"target\": 2}, {\"weight\": 9390, \"source\": 0, \"target\": 1}, {\"weight\": 15636, \"source\": 0, \"target\": 8}, {\"weight\": 13776, \"source\": 0, \"target\": 4}, {\"weight\": 17099, \"source\": 0, \"target\": 5}, {\"weight\": 9429, \"source\": 1, \"target\": 3}, {\"weight\": 13287, \"source\": 1, \"target\": 6}, {\"weight\": 13407, \"source\": 1, \"target\": 7}, {\"weight\": 8890, \"source\": 1, \"target\": 2}, {\"weight\": 9153, \"source\": 1, \"target\": 8}, {\"weight\": 17758, \"source\": 1, \"target\": 4}, {\"weight\": 8057, \"source\": 1, \"target\": 5}, {\"weight\": 3676, \"source\": 2, \"target\": 3}, {\"weight\": 10796, \"source\": 2, \"target\": 6}, {\"weight\": 10898, \"source\": 2, \"target\": 7}, {\"weight\": 14152, \"source\": 2, \"target\": 8}, {\"weight\": 12575, \"source\": 2, \"target\": 4}, {\"weight\": 16147, \"source\": 2, \"target\": 5}, {\"weight\": 13595, \"source\": 3, \"target\": 6}, {\"weight\": 13697, \"source\": 3, \"target\": 7}, {\"weight\": 11458, \"source\": 3, \"target\": 8}, {\"weight\": 11285, \"source\": 3, \"target\": 4}, {\"weight\": 14220, \"source\": 3, \"target\": 5}, {\"weight\": 14823, \"source\": 4, \"target\": 6}, {\"weight\": 14925, \"source\": 4, \"target\": 7}, {\"weight\": 9653, \"source\": 4, \"target\": 8}, {\"weight\": 10815, \"source\": 4, \"target\": 5}, {\"weight\": 18228, \"source\": 5, \"target\": 6}, {\"weight\": 18348, \"source\": 5, \"target\": 7}, {\"weight\": 3570, \"source\": 5, \"target\": 8}, {\"weight\": 628, \"source\": 6, \"target\": 7}, {\"weight\": 21216, \"source\": 6, \"target\": 8}, {\"weight\": 21334, \"source\": 7, \"target\": 8}]}",
"id": 1896,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: DGA, AHO, FSM, ZEL, SSR, GIU, RGA, USH, BSD\n- Travel distances (in kilometers) between each pair of airports:\nDGA to ZEL: 5265\nDGA to RGA: 8606\nDGA to USH: 8708\nDGA to FSM: 2332\nDGA to AHO: 9390\nDGA to BSD: 15636\nDGA to SSR: 13776\nDGA to GIU: 17099\nAHO to ZEL: 9429\nAHO to RGA: 13287\nAHO to USH: 13407\nAHO to FSM: 8890\nAHO to BSD: 9153\nAHO to SSR: 17758\nAHO to GIU: 8057\nFSM to ZEL: 3676\nFSM to RGA: 10796\nFSM to USH: 10898\nFSM to BSD: 14152\nFSM to SSR: 12575\nFSM to GIU: 16147\nZEL to RGA: 13595\nZEL to USH: 13697\nZEL to BSD: 11458\nZEL to SSR: 11285\nZEL to GIU: 14220\nSSR to RGA: 14823\nSSR to USH: 14925\nSSR to BSD: 9653\nSSR to GIU: 10815\nGIU to RGA: 18228\nGIU to USH: 18348\nGIU to BSD: 3570\nRGA to USH: 628\nRGA to BSD: 21216\nUSH to BSD: 21334\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BKG, UCT, SEN, RNN, NAY, CKS, KLR, LUX, MYA\n- Travel distances (in kilometers) between each pair of airports:\nBKG to UCT: 9672\nBKG to LUX: 7669\nBKG to CKS: 7427\nBKG to KLR: 8113\nBKG to RNN: 7873\nBKG to SEN: 7232\nBKG to NAY: 11578\nBKG to MYA: 14749\nUCT to LUX: 3210\nUCT to CKS: 11928\nUCT to KLR: 2318\nUCT to RNN: 2587\nUCT to SEN: 3364\nUCT to NAY: 5863\nUCT to MYA: 14509\nSEN to LUX: 605\nSEN to CKS: 8758\nSEN to KLR: 1743\nSEN to RNN: 1069\nSEN to NAY: 8503\nSEN to MYA: 17194\nRNN to LUX: 941\nRNN to CKS: 9633\nRNN to KLR: 1035\nRNN to NAY: 7726\nRNN to MYA: 16446\nNAY to LUX: 8331\nNAY to CKS: 17067\nNAY to KLR: 7457\nNAY to MYA: 9216\nCKS to LUX: 8765\nCKS to KLR: 10350\nCKS to MYA: 16322\nKLR to LUX: 1671\nKLR to MYA: 16157\nLUX to MYA: 16913\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 50912,
"style": "rule"
}
|
{
"exact_answer": 50912,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"BKG\", \"id\": 0}, {\"name\": \"UCT\", \"id\": 1}, {\"name\": \"SEN\", \"id\": 2}, {\"name\": \"RNN\", \"id\": 3}, {\"name\": \"NAY\", \"id\": 4}, {\"name\": \"CKS\", \"id\": 5}, {\"name\": \"KLR\", \"id\": 6}, {\"name\": \"LUX\", \"id\": 7}, {\"name\": \"MYA\", \"id\": 8}], \"links\": [{\"weight\": 9672, \"source\": 0, \"target\": 1}, {\"weight\": 7669, \"source\": 0, \"target\": 7}, {\"weight\": 7427, \"source\": 0, \"target\": 5}, {\"weight\": 8113, \"source\": 0, \"target\": 6}, {\"weight\": 7873, \"source\": 0, \"target\": 3}, {\"weight\": 7232, \"source\": 0, \"target\": 2}, {\"weight\": 11578, \"source\": 0, \"target\": 4}, {\"weight\": 14749, \"source\": 0, \"target\": 8}, {\"weight\": 3210, \"source\": 1, \"target\": 7}, {\"weight\": 11928, \"source\": 1, \"target\": 5}, {\"weight\": 2318, \"source\": 1, \"target\": 6}, {\"weight\": 2587, \"source\": 1, \"target\": 3}, {\"weight\": 3364, \"source\": 1, \"target\": 2}, {\"weight\": 5863, \"source\": 1, \"target\": 4}, {\"weight\": 14509, \"source\": 1, \"target\": 8}, {\"weight\": 605, \"source\": 2, \"target\": 7}, {\"weight\": 8758, \"source\": 2, \"target\": 5}, {\"weight\": 1743, \"source\": 2, \"target\": 6}, {\"weight\": 1069, \"source\": 2, \"target\": 3}, {\"weight\": 8503, \"source\": 2, \"target\": 4}, {\"weight\": 17194, \"source\": 2, \"target\": 8}, {\"weight\": 941, \"source\": 3, \"target\": 7}, {\"weight\": 9633, \"source\": 3, \"target\": 5}, {\"weight\": 1035, \"source\": 3, \"target\": 6}, {\"weight\": 7726, \"source\": 3, \"target\": 4}, {\"weight\": 16446, \"source\": 3, \"target\": 8}, {\"weight\": 8331, \"source\": 4, \"target\": 7}, {\"weight\": 17067, \"source\": 4, \"target\": 5}, {\"weight\": 7457, \"source\": 4, \"target\": 6}, {\"weight\": 9216, \"source\": 4, \"target\": 8}, {\"weight\": 8765, \"source\": 5, \"target\": 7}, {\"weight\": 10350, \"source\": 5, \"target\": 6}, {\"weight\": 16322, \"source\": 5, \"target\": 8}, {\"weight\": 1671, \"source\": 6, \"target\": 7}, {\"weight\": 16157, \"source\": 6, \"target\": 8}, {\"weight\": 16913, \"source\": 7, \"target\": 8}]}",
"id": 1897,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: BKG, UCT, SEN, RNN, NAY, CKS, KLR, LUX, MYA\n- Travel distances (in kilometers) between each pair of airports:\nBKG to UCT: 9672\nBKG to LUX: 7669\nBKG to CKS: 7427\nBKG to KLR: 8113\nBKG to RNN: 7873\nBKG to SEN: 7232\nBKG to NAY: 11578\nBKG to MYA: 14749\nUCT to LUX: 3210\nUCT to CKS: 11928\nUCT to KLR: 2318\nUCT to RNN: 2587\nUCT to SEN: 3364\nUCT to NAY: 5863\nUCT to MYA: 14509\nSEN to LUX: 605\nSEN to CKS: 8758\nSEN to KLR: 1743\nSEN to RNN: 1069\nSEN to NAY: 8503\nSEN to MYA: 17194\nRNN to LUX: 941\nRNN to CKS: 9633\nRNN to KLR: 1035\nRNN to NAY: 7726\nRNN to MYA: 16446\nNAY to LUX: 8331\nNAY to CKS: 17067\nNAY to KLR: 7457\nNAY to MYA: 9216\nCKS to LUX: 8765\nCKS to KLR: 10350\nCKS to MYA: 16322\nKLR to LUX: 1671\nKLR to MYA: 16157\nLUX to MYA: 16913\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAN, ABD, XBE, TLS, AZS, WNP, TFN, SLP, CBR\n- Travel distances (in kilometers) between each pair of airports:\nJAN to TLS: 7873\nJAN to WNP: 14291\nJAN to CBR: 14699\nJAN to SLP: 1586\nJAN to AZS: 2541\nJAN to TFN: 7508\nJAN to ABD: 12476\nJAN to XBE: 3049\nABD to TLS: 4970\nABD to WNP: 8146\nABD to CBR: 12954\nABD to SLP: 13985\nABD to AZS: 12216\nABD to TFN: 7013\nABD to XBE: 12514\nXBE to TLS: 7846\nXBE to WNP: 13271\nXBE to CBR: 15420\nXBE to SLP: 4071\nXBE to AZS: 4495\nXBE to TFN: 7765\nTLS to WNP: 11386\nTLS to CBR: 17229\nTLS to SLP: 9298\nTLS to AZS: 7380\nTLS to TFN: 2307\nAZS to WNP: 16370\nAZS to CBR: 17180\nAZS to SLP: 3579\nAZS to TFN: 6867\nWNP to CBR: 6762\nWNP to SLP: 14216\nWNP to TFN: 13661\nTFN to CBR: 19050\nTFN to SLP: 9075\nSLP to CBR: 15135\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 52670,
"style": "rule"
}
|
{
"exact_answer": 52670,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"JAN\", \"id\": 0}, {\"name\": \"ABD\", \"id\": 1}, {\"name\": \"XBE\", \"id\": 2}, {\"name\": \"TLS\", \"id\": 3}, {\"name\": \"AZS\", \"id\": 4}, {\"name\": \"WNP\", \"id\": 5}, {\"name\": \"TFN\", \"id\": 6}, {\"name\": \"SLP\", \"id\": 7}, {\"name\": \"CBR\", \"id\": 8}], \"links\": [{\"weight\": 7873, \"source\": 0, \"target\": 3}, {\"weight\": 14291, \"source\": 0, \"target\": 5}, {\"weight\": 14699, \"source\": 0, \"target\": 8}, {\"weight\": 1586, \"source\": 0, \"target\": 7}, {\"weight\": 2541, \"source\": 0, \"target\": 4}, {\"weight\": 7508, \"source\": 0, \"target\": 6}, {\"weight\": 12476, \"source\": 0, \"target\": 1}, {\"weight\": 3049, \"source\": 0, \"target\": 2}, {\"weight\": 4970, \"source\": 1, \"target\": 3}, {\"weight\": 8146, \"source\": 1, \"target\": 5}, {\"weight\": 12954, \"source\": 1, \"target\": 8}, {\"weight\": 13985, \"source\": 1, \"target\": 7}, {\"weight\": 12216, \"source\": 1, \"target\": 4}, {\"weight\": 7013, \"source\": 1, \"target\": 6}, {\"weight\": 12514, \"source\": 1, \"target\": 2}, {\"weight\": 7846, \"source\": 2, \"target\": 3}, {\"weight\": 13271, \"source\": 2, \"target\": 5}, {\"weight\": 15420, \"source\": 2, \"target\": 8}, {\"weight\": 4071, \"source\": 2, \"target\": 7}, {\"weight\": 4495, \"source\": 2, \"target\": 4}, {\"weight\": 7765, \"source\": 2, \"target\": 6}, {\"weight\": 11386, \"source\": 3, \"target\": 5}, {\"weight\": 17229, \"source\": 3, \"target\": 8}, {\"weight\": 9298, \"source\": 3, \"target\": 7}, {\"weight\": 7380, \"source\": 3, \"target\": 4}, {\"weight\": 2307, \"source\": 3, \"target\": 6}, {\"weight\": 16370, \"source\": 4, \"target\": 5}, {\"weight\": 17180, \"source\": 4, \"target\": 8}, {\"weight\": 3579, \"source\": 4, \"target\": 7}, {\"weight\": 6867, \"source\": 4, \"target\": 6}, {\"weight\": 6762, \"source\": 5, \"target\": 8}, {\"weight\": 14216, \"source\": 5, \"target\": 7}, {\"weight\": 13661, \"source\": 5, \"target\": 6}, {\"weight\": 19050, \"source\": 6, \"target\": 8}, {\"weight\": 9075, \"source\": 6, \"target\": 7}, {\"weight\": 15135, \"source\": 7, \"target\": 8}]}",
"id": 1898,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: JAN, ABD, XBE, TLS, AZS, WNP, TFN, SLP, CBR\n- Travel distances (in kilometers) between each pair of airports:\nJAN to TLS: 7873\nJAN to WNP: 14291\nJAN to CBR: 14699\nJAN to SLP: 1586\nJAN to AZS: 2541\nJAN to TFN: 7508\nJAN to ABD: 12476\nJAN to XBE: 3049\nABD to TLS: 4970\nABD to WNP: 8146\nABD to CBR: 12954\nABD to SLP: 13985\nABD to AZS: 12216\nABD to TFN: 7013\nABD to XBE: 12514\nXBE to TLS: 7846\nXBE to WNP: 13271\nXBE to CBR: 15420\nXBE to SLP: 4071\nXBE to AZS: 4495\nXBE to TFN: 7765\nTLS to WNP: 11386\nTLS to CBR: 17229\nTLS to SLP: 9298\nTLS to AZS: 7380\nTLS to TFN: 2307\nAZS to WNP: 16370\nAZS to CBR: 17180\nAZS to SLP: 3579\nAZS to TFN: 6867\nWNP to CBR: 6762\nWNP to SLP: 14216\nWNP to TFN: 13661\nTFN to CBR: 19050\nTFN to SLP: 9075\nSLP to CBR: 15135\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
TSP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKE, LCR, BSR, SLM, YCU, GOU, ZSJ, ANV, IMF\n- Travel distances (in kilometers) between each pair of airports:\nSKE to IMF: 8293\nSKE to ANV: 10531\nSKE to LCR: 10410\nSKE to YCU: 8159\nSKE to BSR: 5014\nSKE to SLM: 3031\nSKE to GOU: 6164\nSKE to ZSJ: 7454\nLCR to IMF: 17731\nLCR to ANV: 10257\nLCR to YCU: 16450\nLCR to BSR: 13537\nLCR to SLM: 9943\nLCR to GOU: 12577\nLCR to ZSJ: 6685\nBSR to IMF: 4861\nBSR to ANV: 14965\nBSR to YCU: 6589\nBSR to SLM: 4874\nBSR to GOU: 5158\nBSR to ZSJ: 11771\nSLM to IMF: 9097\nSLM to ANV: 12400\nSLM to YCU: 9609\nSLM to GOU: 5498\nSLM to ZSJ: 8574\nYCU to IMF: 3463\nYCU to ANV: 12367\nYCU to GOU: 10429\nYCU to ZSJ: 11584\nGOU to IMF: 8741\nGOU to ANV: 15623\nGOU to ZSJ: 11884\nZSJ to IMF: 14917\nZSJ to ANV: 5373\nANV to IMF: 15767\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"role": "user"
}
] |
{
"ground_truth": 56846,
"style": "rule"
}
|
{
"exact_answer": 56846,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"SKE\", \"id\": 0}, {\"name\": \"LCR\", \"id\": 1}, {\"name\": \"BSR\", \"id\": 2}, {\"name\": \"SLM\", \"id\": 3}, {\"name\": \"YCU\", \"id\": 4}, {\"name\": \"GOU\", \"id\": 5}, {\"name\": \"ZSJ\", \"id\": 6}, {\"name\": \"ANV\", \"id\": 7}, {\"name\": \"IMF\", \"id\": 8}], \"links\": [{\"weight\": 8293, \"source\": 0, \"target\": 8}, {\"weight\": 10531, \"source\": 0, \"target\": 7}, {\"weight\": 10410, \"source\": 0, \"target\": 1}, {\"weight\": 8159, \"source\": 0, \"target\": 4}, {\"weight\": 5014, \"source\": 0, \"target\": 2}, {\"weight\": 3031, \"source\": 0, \"target\": 3}, {\"weight\": 6164, \"source\": 0, \"target\": 5}, {\"weight\": 7454, \"source\": 0, \"target\": 6}, {\"weight\": 17731, \"source\": 1, \"target\": 8}, {\"weight\": 10257, \"source\": 1, \"target\": 7}, {\"weight\": 16450, \"source\": 1, \"target\": 4}, {\"weight\": 13537, \"source\": 1, \"target\": 2}, {\"weight\": 9943, \"source\": 1, \"target\": 3}, {\"weight\": 12577, \"source\": 1, \"target\": 5}, {\"weight\": 6685, \"source\": 1, \"target\": 6}, {\"weight\": 4861, \"source\": 2, \"target\": 8}, {\"weight\": 14965, \"source\": 2, \"target\": 7}, {\"weight\": 6589, \"source\": 2, \"target\": 4}, {\"weight\": 4874, \"source\": 2, \"target\": 3}, {\"weight\": 5158, \"source\": 2, \"target\": 5}, {\"weight\": 11771, \"source\": 2, \"target\": 6}, {\"weight\": 9097, \"source\": 3, \"target\": 8}, {\"weight\": 12400, \"source\": 3, \"target\": 7}, {\"weight\": 9609, \"source\": 3, \"target\": 4}, {\"weight\": 5498, \"source\": 3, \"target\": 5}, {\"weight\": 8574, \"source\": 3, \"target\": 6}, {\"weight\": 3463, \"source\": 4, \"target\": 8}, {\"weight\": 12367, \"source\": 4, \"target\": 7}, {\"weight\": 10429, \"source\": 4, \"target\": 5}, {\"weight\": 11584, \"source\": 4, \"target\": 6}, {\"weight\": 8741, \"source\": 5, \"target\": 8}, {\"weight\": 15623, \"source\": 5, \"target\": 7}, {\"weight\": 11884, \"source\": 5, \"target\": 6}, {\"weight\": 14917, \"source\": 6, \"target\": 8}, {\"weight\": 5373, \"source\": 6, \"target\": 7}, {\"weight\": 15767, \"source\": 7, \"target\": 8}]}",
"id": 1899,
"problem_text": "You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.\n\n**Problem to Solve**\n\n- Airports to visit: SKE, LCR, BSR, SLM, YCU, GOU, ZSJ, ANV, IMF\n- Travel distances (in kilometers) between each pair of airports:\nSKE to IMF: 8293\nSKE to ANV: 10531\nSKE to LCR: 10410\nSKE to YCU: 8159\nSKE to BSR: 5014\nSKE to SLM: 3031\nSKE to GOU: 6164\nSKE to ZSJ: 7454\nLCR to IMF: 17731\nLCR to ANV: 10257\nLCR to YCU: 16450\nLCR to BSR: 13537\nLCR to SLM: 9943\nLCR to GOU: 12577\nLCR to ZSJ: 6685\nBSR to IMF: 4861\nBSR to ANV: 14965\nBSR to YCU: 6589\nBSR to SLM: 4874\nBSR to GOU: 5158\nBSR to ZSJ: 11771\nSLM to IMF: 9097\nSLM to ANV: 12400\nSLM to YCU: 9609\nSLM to GOU: 5498\nSLM to ZSJ: 8574\nYCU to IMF: 3463\nYCU to ANV: 12367\nYCU to GOU: 10429\nYCU to ZSJ: 11584\nGOU to IMF: 8741\nGOU to ANV: 15623\nGOU to ZSJ: 11884\nZSJ to IMF: 14917\nZSJ to ANV: 5373\nANV to IMF: 15767\nPlease calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]",
"split": "train"
}
|
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