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#!/usr/bin/env python3
from typing import List
adaptors: list[str]
def combos(i: int, counts: dict[int, dict[int, int]] = {}) -> int:
if i == len(adaptors) - 1:
return 1
if i in counts:
return counts[i]
ans = 0
for j in range(i + 1, len(adaptors)):
if adaptors[j] - adaptors[i] <= 3:
ans += combos(j, counts)
counts[i] = ans
return ans
def main() -> None:
global adaptors
with open("input", "r") as f:
adaptors = list(map(int, f.readlines()))
adaptors.append(0)
adaptors.sort()
adaptors.append(max(adaptors) + 3)
print(combos(0))
if __name__ == "__main__":
main()
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