You are a helpful assistant. The assistant first thinks about the 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: MVD, KSC, YCB, GCH, KIH, MUB, AOJ, YSG, KBR
- Travel distances (in kilometers) between each pair of airports:
MVD to YCB: 13132
MVD to YSG: 12476
MVD to KBR: 17905
MVD to KIH: 13904
MVD to MUB: 9851
MVD to KSC: 12051
MVD to GCH: 14606
MVD to AOJ: 19423
KSC to YCB: 10043
KSC to YSG: 9387
KSC to KBR: 9977
KSC to KIH: 4454
KSC to MUB: 9096
KSC to GCH: 4243
KSC to AOJ: 9358
YCB to YSG: 1042
YCB to KBR: 15571
YCB to KIH: 13788
YCB to MUB: 17029
YCB to GCH: 13554
YCB to AOJ: 10816
GCH to YSG: 12898
GCH to KBR: 7317
GCH to KIH: 1645
GCH to MUB: 7818
GCH to AOJ: 8472
KIH to YSG: 13132
KIH to KBR: 5748
KIH to MUB: 6522
KIH to AOJ: 8206
MUB to YSG: 16373
MUB to KBR: 9740
MUB to AOJ: 14170
AOJ to YSG: 10160
AOJ to KBR: 5923
YSG to KBR: 14915
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": "MVD", "id": 0}, {"name": "KSC", "id": 1}, {"name": "YCB", "id": 2}, {"name": "GCH", "id": 3}, {"name": "KIH", "id": 4}, {"name": "MUB", "id": 5}, {"name": "AOJ", "id": 6}, {"name": "YSG", "id": 7}, {"name": "KBR", "id": 8}], "links": [{"weight": 13132, "source": 0, "target": 2}, {"weight": 12476, "source": 0, "target": 7}, {"weight": 17905, "source": 0, "target": 8}, {"weight": 13904, "source": 0, "target": 4}, {"weight": 9851, "source": 0, "target": 5}, {"weight": 12051, "source": 0, "target": 1}, {"weight": 14606, "source": 0, "target": 3}, {"weight": 19423, "source": 0, "target": 6}, {"weight": 10043, "source": 1, "target": 2}, {"weight": 9387, "source": 1, "target": 7}, {"weight": 9977, "source": 1, "target": 8}, {"weight": 4454, "source": 1, "target": 4}, {"weight": 9096, "source": 1, "target": 5}, {"weight": 4243, "source": 1, "target": 3}, {"weight": 9358, "source": 1, "target": 6}, {"weight": 1042, "source": 2, "target": 7}, {"weight": 15571, "source": 2, "target": 8}, {"weight": 13788, "source": 2, "target": 4}, {"weight": 17029, "source": 2, "target": 5}, {"weight": 13554, "source": 2, "target": 3}, {"weight": 10816, "source": 2, "target": 6}, {"weight": 12898, "source": 3, "target": 7}, {"weight": 7317, "source": 3, "target": 8}, {"weight": 1645, "source": 3, "target": 4}, {"weight": 7818, "source": 3, "target": 5}, {"weight": 8472, "source": 3, "target": 6}, {"weight": 13132, "source": 4, "target": 7}, {"weight": 5748, "source": 4, "target": 8}, {"weight": 6522, "source": 4, "target": 5}, {"weight": 8206, "source": 4, "target": 6}, {"weight": 16373, "source": 5, "target": 7}, {"weight": 9740, "source": 5, "target": 8}, {"weight": 14170, "source": 5, "target": 6}, {"weight": 10160, "source": 6, "target": 7}, {"weight": 5923, "source": 6, "target": 8}, {"weight": 14915, "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: MVD, KSC, YCB, GCH, KIH, MUB, AOJ, YSG, KBR
- Travel distances (in kilometers) between each pair of airports:
MVD to YCB: 13132
MVD to YSG: 12476
MVD to KBR: 17905
MVD to KIH: 13904
MVD to MUB: 9851
MVD to KSC: 12051
MVD to GCH: 14606
MVD to AOJ: 19423
KSC to YCB: 10043
KSC to YSG: 9387
KSC to KBR: 9977
KSC to KIH: 4454
KSC to MUB: 9096
KSC to GCH: 4243
KSC to AOJ: 9358
YCB to YSG: 1042
YCB to KBR: 15571
YCB to KIH: 13788
YCB to MUB: 17029
YCB to GCH: 13554
YCB to AOJ: 10816
GCH to YSG: 12898
GCH to KBR: 7317
GCH to KIH: 1645
GCH to MUB: 7818
GCH to AOJ: 8472
KIH to YSG: 13132
KIH to KBR: 5748
KIH to MUB: 6522
KIH to AOJ: 8206
MUB to YSG: 16373
MUB to KBR: 9740
MUB to AOJ: 14170
AOJ to YSG: 10160
AOJ to KBR: 5923
YSG to KBR: 14915
Please calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]
test