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: SXB, MZL, VBY, JHS, FRO, XRY, BTV, AWZ, CUZ, EPR, MMB, VNO, KHN, TPA, NKC, COQ, CCP
- Travel distances (in kilometers) between each pair of airports:
SXB to CUZ: 11247
SXB to VBY: 1795
SXB to TPA: 7742
SXB to KHN: 8929
SXB to XRY: 1726
SXB to CCP: 12406
SXB to BTV: 6610
SXB to VNO: 1411
SXB to NKC: 3999
SXB to MZL: 9172
SXB to AWZ: 4335
SXB to COQ: 7403
SXB to JHS: 4215
SXB to MMB: 9519
SXB to EPR: 14594
SXB to FRO: 1496
MZL to CUZ: 2624
MZL to VBY: 10195
MZL to TPA: 2914
MZL to KHN: 16322
MZL to XRY: 8068
MZL to CCP: 4829
MZL to BTV: 4576
MZL to VNO: 10370
MZL to NKC: 8000
MZL to AWZ: 13205
MZL to COQ: 16138
MZL to JHS: 10011
MZL to MMB: 15425
MZL to EPR: 19597
MZL to FRO: 9635
VBY to CUZ: 12434
VBY to TPA: 8132
VBY to KHN: 7918
VBY to XRY: 3017
VBY to CCP: 13748
VBY to BTV: 6942
VBY to VNO: 934
VBY to NKC: 5231
VBY to AWZ: 4512
VBY to COQ: 6517
VBY to JHS: 4085
VBY to MMB: 8569
VBY to EPR: 14317
VBY to FRO: 968
JHS to CUZ: 12327
JHS to TPA: 7503
JHS to KHN: 11488
JHS to XRY: 5219
JHS to CCP: 14463
JHS to BTV: 6306
JHS to VNO: 4369
JHS to NKC: 7390
JHS to AWZ: 7881
JHS to COQ: 10087
JHS to MMB: 12139
JHS to EPR: 17887
JHS to FRO: 3353
FRO to CUZ: 11916
FRO to TPA: 7365
FRO to KHN: 8448
FRO to XRY: 2887
FRO to CCP: 13518
FRO to BTV: 6175
FRO to VNO: 1409
FRO to NKC: 5157
FRO to AWZ: 5015
FRO to COQ: 7047
FRO to MMB: 9099
FRO to EPR: 14847
XRY to CUZ: 10230
XRY to TPA: 7398
XRY to KHN: 10617
XRY to CCP: 11118
XRY to BTV: 6227
XRY to VNO: 3104
XRY to NKC: 2492
XRY to AWZ: 5361
XRY to COQ: 9091
XRY to MMB: 11207
XRY to EPR: 15620
BTV to CUZ: 6879
BTV to TPA: 2014
BTV to KHN: 12643
BTV to CCP: 9094
BTV to VNO: 7378
BTV to NKC: 6955
BTV to AWZ: 10770
BTV to COQ: 12715
BTV to MMB: 12154
BTV to EPR: 19746
AWZ to CUZ: 14906
AWZ to TPA: 11904
AWZ to KHN: 6678
AWZ to CCP: 15031
AWZ to VNO: 3622
AWZ to NKC: 7139
AWZ to COQ: 5825
AWZ to MMB: 8427
AWZ to EPR: 10556
CUZ to TPA: 5070
CUZ to KHN: 18291
CUZ to CCP: 2873
CUZ to VNO: 12481
CUZ to NKC: 8969
CUZ to COQ: 18333
CUZ to MMB: 17079
CUZ to EPR: 17641
EPR to TPA: 19043
EPR to KHN: 7371
EPR to CCP: 15624
EPR to VNO: 13647
EPR to NKC: 15769
EPR to COQ: 9925
EPR to MMB: 9719
MMB to TPA: 12677
MMB to KHN: 3023
MMB to CCP: 18893
MMB to VNO: 8119
MMB to NKC: 13471
MMB to COQ: 2991
VNO to TPA: 8568
VNO to KHN: 7529
VNO to CCP: 13774
VNO to NKC: 5370
VNO to COQ: 6003
KHN to TPA: 13439
KHN to CCP: 19713
KHN to NKC: 12703
KHN to COQ: 2566
TPA to CCP: 7363
TPA to NKC: 8113
TPA to COQ: 13511
NKC to CCP: 9098
NKC to COQ: 11355
COQ to CCP: 19777
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": "SXB", "id": 0}, {"name": "MZL", "id": 1}, {"name": "VBY", "id": 2}, {"name": "JHS", "id": 3}, {"name": "FRO", "id": 4}, {"name": "XRY", "id": 5}, {"name": "BTV", "id": 6}, {"name": "AWZ", "id": 7}, {"name": "CUZ", "id": 8}, {"name": "EPR", "id": 9}, {"name": "MMB", "id": 10}, {"name": "VNO", "id": 11}, {"name": "KHN", "id": 12}, {"name": "TPA", "id": 13}, {"name": "NKC", "id": 14}, {"name": "COQ", "id": 15}, {"name": "CCP", "id": 16}], "links": [{"weight": 11247, "source": 0, "target": 8}, {"weight": 1795, "source": 0, "target": 2}, {"weight": 7742, "source": 0, "target": 13}, {"weight": 8929, "source": 0, "target": 12}, {"weight": 1726, "source": 0, "target": 5}, {"weight": 12406, "source": 0, "target": 16}, {"weight": 6610, "source": 0, "target": 6}, {"weight": 1411, "source": 0, "target": 11}, {"weight": 3999, "source": 0, "target": 14}, {"weight": 9172, "source": 0, "target": 1}, {"weight": 4335, "source": 0, "target": 7}, {"weight": 7403, "source": 0, "target": 15}, {"weight": 4215, "source": 0, "target": 3}, {"weight": 9519, "source": 0, "target": 10}, {"weight": 14594, "source": 0, "target": 9}, {"weight": 1496, "source": 0, "target": 4}, {"weight": 2624, "source": 1, "target": 8}, {"weight": 10195, "source": 1, "target": 2}, {"weight": 2914, "source": 1, "target": 13}, {"weight": 16322, "source": 1, "target": 12}, {"weight": 8068, "source": 1, "target": 5}, {"weight": 4829, "source": 1, "target": 16}, {"weight": 4576, "source": 1, "target": 6}, {"weight": 10370, "source": 1, "target": 11}, {"weight": 8000, "source": 1, "target": 14}, {"weight": 13205, "source": 1, "target": 7}, {"weight": 16138, "source": 1, "target": 15}, {"weight": 10011, "source": 1, "target": 3}, {"weight": 15425, "source": 1, "target": 10}, {"weight": 19597, "source": 1, "target": 9}, {"weight": 9635, "source": 1, "target": 4}, {"weight": 12434, "source": 2, "target": 8}, {"weight": 8132, "source": 2, "target": 13}, {"weight": 7918, "source": 2, "target": 12}, {"weight": 3017, "source": 2, "target": 5}, {"weight": 13748, "source": 2, "target": 16}, {"weight": 6942, "source": 2, "target": 6}, {"weight": 934, "source": 2, "target": 11}, {"weight": 5231, "source": 2, "target": 14}, {"weight": 4512, "source": 2, "target": 7}, {"weight": 6517, "source": 2, "target": 15}, {"weight": 4085, "source": 2, "target": 3}, {"weight": 8569, "source": 2, "target": 10}, {"weight": 14317, "source": 2, "target": 9}, {"weight": 968, "source": 2, "target": 4}, {"weight": 12327, "source": 3, "target": 8}, {"weight": 7503, "source": 3, "target": 13}, {"weight": 11488, "source": 3, "target": 12}, {"weight": 5219, "source": 3, "target": 5}, {"weight": 14463, "source": 3, "target": 16}, {"weight": 6306, "source": 3, "target": 6}, {"weight": 4369, "source": 3, "target": 11}, {"weight": 7390, "source": 3, "target": 14}, {"weight": 7881, "source": 3, "target": 7}, {"weight": 10087, "source": 3, "target": 15}, {"weight": 12139, "source": 3, "target": 10}, {"weight": 17887, "source": 3, "target": 9}, {"weight": 3353, "source": 3, "target": 4}, {"weight": 11916, "source": 4, "target": 8}, {"weight": 7365, "source": 4, "target": 13}, {"weight": 8448, "source": 4, "target": 12}, {"weight": 2887, "source": 4, "target": 5}, {"weight": 13518, "source": 4, "target": 16}, {"weight": 6175, "source": 4, "target": 6}, {"weight": 1409, "source": 4, "target": 11}, {"weight": 5157, "source": 4, "target": 14}, {"weight": 5015, "source": 4, "target": 7}, {"weight": 7047, "source": 4, "target": 15}, {"weight": 9099, "source": 4, "target": 10}, {"weight": 14847, "source": 4, "target": 9}, {"weight": 10230, "source": 5, "target": 8}, {"weight": 7398, "source": 5, "target": 13}, {"weight": 10617, "source": 5, "target": 12}, {"weight": 11118, "source": 5, "target": 16}, {"weight": 6227, "source": 5, "target": 6}, {"weight": 3104, "source": 5, "target": 11}, {"weight": 2492, "source": 5, "target": 14}, {"weight": 5361, "source": 5, "target": 7}, {"weight": 9091, "source": 5, "target": 15}, {"weight": 11207, "source": 5, "target": 10}, {"weight": 15620, "source": 5, "target": 9}, {"weight": 6879, "source": 6, "target": 8}, {"weight": 2014, "source": 6, "target": 13}, {"weight": 12643, "source": 6, "target": 12}, {"weight": 9094, "source": 6, "target": 16}, {"weight": 7378, "source": 6, "target": 11}, {"weight": 6955, "source": 6, "target": 14}, {"weight": 10770, "source": 6, "target": 7}, {"weight": 12715, "source": 6, "target": 15}, {"weight": 12154, "source": 6, "target": 10}, {"weight": 19746, "source": 6, "target": 9}, {"weight": 14906, "source": 7, "target": 8}, {"weight": 11904, "source": 7, "target": 13}, {"weight": 6678, "source": 7, "target": 12}, {"weight": 15031, "source": 7, "target": 16}, {"weight": 3622, "source": 7, "target": 11}, {"weight": 7139, "source": 7, "target": 14}, {"weight": 5825, "source": 7, "target": 15}, {"weight": 8427, "source": 7, "target": 10}, {"weight": 10556, "source": 7, "target": 9}, {"weight": 5070, "source": 8, "target": 13}, {"weight": 18291, "source": 8, "target": 12}, {"weight": 2873, "source": 8, "target": 16}, {"weight": 12481, "source": 8, "target": 11}, {"weight": 8969, "source": 8, "target": 14}, {"weight": 18333, "source": 8, "target": 15}, {"weight": 17079, "source": 8, "target": 10}, {"weight": 17641, "source": 8, "target": 9}, {"weight": 19043, "source": 9, "target": 13}, {"weight": 7371, "source": 9, "target": 12}, {"weight": 15624, "source": 9, "target": 16}, {"weight": 13647, "source": 9, "target": 11}, {"weight": 15769, "source": 9, "target": 14}, {"weight": 9925, "source": 9, "target": 15}, {"weight": 9719, "source": 9, "target": 10}, {"weight": 12677, "source": 10, "target": 13}, {"weight": 3023, "source": 10, "target": 12}, {"weight": 18893, "source": 10, "target": 16}, {"weight": 8119, "source": 10, "target": 11}, {"weight": 13471, "source": 10, "target": 14}, {"weight": 2991, "source": 10, "target": 15}, {"weight": 8568, "source": 11, "target": 13}, {"weight": 7529, "source": 11, "target": 12}, {"weight": 13774, "source": 11, "target": 16}, {"weight": 5370, "source": 11, "target": 14}, {"weight": 6003, "source": 11, "target": 15}, {"weight": 13439, "source": 12, "target": 13}, {"weight": 19713, "source": 12, "target": 16}, {"weight": 12703, "source": 12, "target": 14}, {"weight": 2566, "source": 12, "target": 15}, {"weight": 7363, "source": 13, "target": 16}, {"weight": 8113, "source": 13, "target": 14}, {"weight": 13511, "source": 13, "target": 15}, {"weight": 9098, "source": 14, "target": 16}, {"weight": 11355, "source": 14, "target": 15}, {"weight": 19777, "source": 15, "target": 16}]}
You are required to solve the Travelling Salesman Problem for an undirected flight route network. 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: SXB, MZL, VBY, JHS, FRO, XRY, BTV, AWZ, CUZ, EPR, MMB, VNO, KHN, TPA, NKC, COQ, CCP
- Travel distances (in kilometers) between each pair of airports:
SXB to CUZ: 11247
SXB to VBY: 1795
SXB to TPA: 7742
SXB to KHN: 8929
SXB to XRY: 1726
SXB to CCP: 12406
SXB to BTV: 6610
SXB to VNO: 1411
SXB to NKC: 3999
SXB to MZL: 9172
SXB to AWZ: 4335
SXB to COQ: 7403
SXB to JHS: 4215
SXB to MMB: 9519
SXB to EPR: 14594
SXB to FRO: 1496
MZL to CUZ: 2624
MZL to VBY: 10195
MZL to TPA: 2914
MZL to KHN: 16322
MZL to XRY: 8068
MZL to CCP: 4829
MZL to BTV: 4576
MZL to VNO: 10370
MZL to NKC: 8000
MZL to AWZ: 13205
MZL to COQ: 16138
MZL to JHS: 10011
MZL to MMB: 15425
MZL to EPR: 19597
MZL to FRO: 9635
VBY to CUZ: 12434
VBY to TPA: 8132
VBY to KHN: 7918
VBY to XRY: 3017
VBY to CCP: 13748
VBY to BTV: 6942
VBY to VNO: 934
VBY to NKC: 5231
VBY to AWZ: 4512
VBY to COQ: 6517
VBY to JHS: 4085
VBY to MMB: 8569
VBY to EPR: 14317
VBY to FRO: 968
JHS to CUZ: 12327
JHS to TPA: 7503
JHS to KHN: 11488
JHS to XRY: 5219
JHS to CCP: 14463
JHS to BTV: 6306
JHS to VNO: 4369
JHS to NKC: 7390
JHS to AWZ: 7881
JHS to COQ: 10087
JHS to MMB: 12139
JHS to EPR: 17887
JHS to FRO: 3353
FRO to CUZ: 11916
FRO to TPA: 7365
FRO to KHN: 8448
FRO to XRY: 2887
FRO to CCP: 13518
FRO to BTV: 6175
FRO to VNO: 1409
FRO to NKC: 5157
FRO to AWZ: 5015
FRO to COQ: 7047
FRO to MMB: 9099
FRO to EPR: 14847
XRY to CUZ: 10230
XRY to TPA: 7398
XRY to KHN: 10617
XRY to CCP: 11118
XRY to BTV: 6227
XRY to VNO: 3104
XRY to NKC: 2492
XRY to AWZ: 5361
XRY to COQ: 9091
XRY to MMB: 11207
XRY to EPR: 15620
BTV to CUZ: 6879
BTV to TPA: 2014
BTV to KHN: 12643
BTV to CCP: 9094
BTV to VNO: 7378
BTV to NKC: 6955
BTV to AWZ: 10770
BTV to COQ: 12715
BTV to MMB: 12154
BTV to EPR: 19746
AWZ to CUZ: 14906
AWZ to TPA: 11904
AWZ to KHN: 6678
AWZ to CCP: 15031
AWZ to VNO: 3622
AWZ to NKC: 7139
AWZ to COQ: 5825
AWZ to MMB: 8427
AWZ to EPR: 10556
CUZ to TPA: 5070
CUZ to KHN: 18291
CUZ to CCP: 2873
CUZ to VNO: 12481
CUZ to NKC: 8969
CUZ to COQ: 18333
CUZ to MMB: 17079
CUZ to EPR: 17641
EPR to TPA: 19043
EPR to KHN: 7371
EPR to CCP: 15624
EPR to VNO: 13647
EPR to NKC: 15769
EPR to COQ: 9925
EPR to MMB: 9719
MMB to TPA: 12677
MMB to KHN: 3023
MMB to CCP: 18893
MMB to VNO: 8119
MMB to NKC: 13471
MMB to COQ: 2991
VNO to TPA: 8568
VNO to KHN: 7529
VNO to CCP: 13774
VNO to NKC: 5370
VNO to COQ: 6003
KHN to TPA: 13439
KHN to CCP: 19713
KHN to NKC: 12703
KHN to COQ: 2566
TPA to CCP: 7363
TPA to NKC: 8113
TPA to COQ: 13511
NKC to CCP: 9098
NKC to COQ: 11355
COQ to CCP: 19777
Please calculate the shortest tour and format your answer as follows: [Airport A, Airport B, Airport C, ..., Airport A]
test