Use a vertex edge graph to find the shortest route.
AFGB
AHB
AHCB
AECDB
14 miles
22 miles
15 miles
26 miles
11 miles
FGB
FHB
FHCB
FHCDB
17 miles
13 miles
23 miles
12 miles
7 miles
AECD
AFGBD
AHCD
AHBD
15 miles
33 miles
25 miles
10 miles
14 miles
AC
AEDC
AEC
AFDC
18 miles
8 miles
6 miles
5 miles
3 miles
CDF
CAF
CEAF
CEDF
15 miles
16 miles
6 miles
8 miles
9 miles
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