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#!/usr/bin/env python3
import itertools
import re
def main() -> None:
towns: set[str] = set()
distances: list[tuple[str, str, int]] = []
with open("input", "r", encoding="utf-8") as f:
for line in f.readlines():
f, t, d = re.match(r"(\w+) to (\w+) = (\d+)", line).groups()
towns.update({f, t})
distances.append((f, t, int(d)))
print(
# START PART 1
min(
# END PART 1 START PART 2
max(
# END PART 2
sum(
[d[2] for d in distances if part[0] in d and part[1] in d][0]
for part in zip(perm, perm[1:])
)
for perm in itertools.permutations(towns)
)
)
if __name__ == "__main__":
main()
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