diff --git a/2021/d09/ex2/ex2.py b/2021/d09/ex2/ex2.py new file mode 100755 index 0000000..451883a --- /dev/null +++ b/2021/d09/ex2/ex2.py @@ -0,0 +1,61 @@ +#!/usr/bin/env python + +import itertools +import sys +from typing import Iterator, List, Tuple + +HeightMap = List[List[int]] +Point = Tuple[int, int] + + +def solve(input: List[str]) -> int: + height_map = [[int(c) for c in line] for line in input] + + def neighbours_of(point: Point) -> Iterator[Point]: + for dx, dy in (-1, 0), (1, 0), (0, -1), (0, 1): + x, y = point[0] + dx, point[1] + dy + if x < 0 or x >= len(height_map): + continue + if y < 0 or y >= len(height_map[0]): + continue + yield x, y + + def is_low_point(point: Point) -> bool: + for neighbour in neighbours_of(point): + if height_map[neighbour[0]][neighbour[1]] <= height_map[point[0]][point[1]]: + return False + return True + + def explore_bassin(point: Point) -> int: + to_be_seen = set(neighbours_of(point)) + explored = {point} + bassin = {point} + + while len(to_be_seen) > 0: + new = to_be_seen.pop() + explored.add(new) + if height_map[new[0]][new[1]] == 9: + continue + bassin.add(new) + for neighbour in neighbours_of(new): + if neighbour in explored: + continue + to_be_seen.add(neighbour) + + return len(bassin) + + points = [(x, y) for x in range(len(height_map)) for y in range(len(height_map[0]))] + low_points = filter(is_low_point, points) + + bassin_sizes = sorted(map(explore_bassin, low_points), reverse=True) + + return bassin_sizes[0] * bassin_sizes[1] * bassin_sizes[2] + + +def main() -> None: + input = [line.strip() for line in sys.stdin.readlines()] + print(solve(input)) + + +if __name__ == "__main__": + main()