#!/usr/bin/env python import sys from collections.abc import Iterator from typing import NamedTuple class Point(NamedTuple): x: int y: int def neighbours(self) -> Iterator["Point"]: for dx, dy in ( (-1, 0), (1, 0), (0, -1), (0, 1), ): yield Point(self.x + dx, self.y + dy) TopoMap = dict[Point, int] def solve(input: str) -> int: def parse(input: list[str]) -> TopoMap: return { Point(x, y): int(c) for x, line in enumerate(input) for y, c in enumerate(line) } def find_trail_heads(map: TopoMap) -> set[Point]: return {p for p, height in map.items() if height == 0} def rate_trail(map: TopoMap, start: Point) -> int: def helper(pos: Point) -> int: if map[pos] == 9: return 1 res = 0 for n in pos.neighbours(): if map.get(n, -1) != (map[pos] + 1): continue res += helper(n) return res assert map[start] == 0 # Sanity check return helper(start) map = parse(input.splitlines()) trail_heads = find_trail_heads(map) return sum(rate_trail(map, head) for head in sorted(trail_heads)) def main() -> None: input = sys.stdin.read() print(solve(input)) if __name__ == "__main__": main()