You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:
<think>
[your reasoning process here]
</think>
<answer>
[your answer here]
</answer>
You can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.
system
You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.

**Problem to Solve**

- Airports to visit: UAP, HYL, RST, ONT, LUQ, TUP, OLH, SRX, FLW
- Travel distances (in kilometers) between each pair of airports:
UAP to OLH: 10841
UAP to HYL: 10769
UAP to TUP: 11612
UAP to ONT: 8777
UAP to RST: 10670
UAP to LUQ: 11362
UAP to SRX: 19539
UAP to FLW: 16595
HYL to OLH: 1832
HYL to TUP: 5062
HYL to ONT: 2692
HYL to RST: 3517
HYL to LUQ: 13107
HYL to SRX: 11554
HYL to FLW: 9479
RST to OLH: 4645
RST to TUP: 1813
RST to ONT: 2525
RST to LUQ: 10322
RST to SRX: 9252
RST to FLW: 6152
ONT to OLH: 4307
ONT to TUP: 3476
ONT to LUQ: 10676
ONT to SRX: 11406
ONT to FLW: 8446
LUQ to OLH: 14707
LUQ to TUP: 9327
LUQ to SRX: 12279
LUQ to FLW: 11128
TUP to OLH: 6388
TUP to SRX: 9459
TUP to FLW: 6279
OLH to SRX: 13208
OLH to FLW: 10632
SRX to FLW: 4402
Please calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]
user
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"name": "UAP", "id": 0}, {"name": "HYL", "id": 1}, {"name": "RST", "id": 2}, {"name": "ONT", "id": 3}, {"name": "LUQ", "id": 4}, {"name": "TUP", "id": 5}, {"name": "OLH", "id": 6}, {"name": "SRX", "id": 7}, {"name": "FLW", "id": 8}], "links": [{"weight": 10841, "source": 0, "target": 6}, {"weight": 10769, "source": 0, "target": 1}, {"weight": 11612, "source": 0, "target": 5}, {"weight": 8777, "source": 0, "target": 3}, {"weight": 10670, "source": 0, "target": 2}, {"weight": 11362, "source": 0, "target": 4}, {"weight": 19539, "source": 0, "target": 7}, {"weight": 16595, "source": 0, "target": 8}, {"weight": 1832, "source": 1, "target": 6}, {"weight": 5062, "source": 1, "target": 5}, {"weight": 2692, "source": 1, "target": 3}, {"weight": 3517, "source": 1, "target": 2}, {"weight": 13107, "source": 1, "target": 4}, {"weight": 11554, "source": 1, "target": 7}, {"weight": 9479, "source": 1, "target": 8}, {"weight": 4645, "source": 2, "target": 6}, {"weight": 1813, "source": 2, "target": 5}, {"weight": 2525, "source": 2, "target": 3}, {"weight": 10322, "source": 2, "target": 4}, {"weight": 9252, "source": 2, "target": 7}, {"weight": 6152, "source": 2, "target": 8}, {"weight": 4307, "source": 3, "target": 6}, {"weight": 3476, "source": 3, "target": 5}, {"weight": 10676, "source": 3, "target": 4}, {"weight": 11406, "source": 3, "target": 7}, {"weight": 8446, "source": 3, "target": 8}, {"weight": 14707, "source": 4, "target": 6}, {"weight": 9327, "source": 4, "target": 5}, {"weight": 12279, "source": 4, "target": 7}, {"weight": 11128, "source": 4, "target": 8}, {"weight": 6388, "source": 5, "target": 6}, {"weight": 9459, "source": 5, "target": 7}, {"weight": 6279, "source": 5, "target": 8}, {"weight": 13208, "source": 6, "target": 7}, {"weight": 10632, "source": 6, "target": 8}, {"weight": 4402, "source": 7, "target": 8}]}
You are required to solve the Travelling Salesman Problem for an undirected flight route network. Your objective is to determine the shortest possible route that visits each of the listed airports exactly once and returns to the starting point.

**Problem to Solve**

- Airports to visit: UAP, HYL, RST, ONT, LUQ, TUP, OLH, SRX, FLW
- Travel distances (in kilometers) between each pair of airports:
UAP to OLH: 10841
UAP to HYL: 10769
UAP to TUP: 11612
UAP to ONT: 8777
UAP to RST: 10670
UAP to LUQ: 11362
UAP to SRX: 19539
UAP to FLW: 16595
HYL to OLH: 1832
HYL to TUP: 5062
HYL to ONT: 2692
HYL to RST: 3517
HYL to LUQ: 13107
HYL to SRX: 11554
HYL to FLW: 9479
RST to OLH: 4645
RST to TUP: 1813
RST to ONT: 2525
RST to LUQ: 10322
RST to SRX: 9252
RST to FLW: 6152
ONT to OLH: 4307
ONT to TUP: 3476
ONT to LUQ: 10676
ONT to SRX: 11406
ONT to FLW: 8446
LUQ to OLH: 14707
LUQ to TUP: 9327
LUQ to SRX: 12279
LUQ to FLW: 11128
TUP to OLH: 6388
TUP to SRX: 9459
TUP to FLW: 6279
OLH to SRX: 13208
OLH to FLW: 10632
SRX to FLW: 4402
Please calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]
test