#!/usr/bin/env python import functools import sys def solve(input: list[str]) -> int: def parse(input: list[str]) -> list[tuple[str, tuple[int, ...]]]: return [ (record, tuple(map(int, groups.split(",")))) for record, groups in map(str.split, input) ] @functools.cache def solve_line(record: str, groups: tuple[int, ...]) -> int: # Empty string must have no groups left, or it's not a solve if len(record) == 0: return 1 if len(groups) == 0 else 0 # Empty groups must not contain any broken spring, or it's not a solve if len(groups) == 0: return 1 if all(c in (".", "?") for c in record) else 0 # Skip working springs if record[0] == ".": return solve_line(record[1:], groups) # Try with a '.' (and discard it directly), or a '#' for the unknown springs if record[0] == "?": return solve_line(record[1:], groups) + solve_line("#" + record[1:], groups) # We start with a '#', check that the group is long enough if len(record) < groups[0] or any(c == "." for c in record[: groups[0]]): return 0 # And check that we _can_ separate the group from the next one if len(record) > groups[0] and record[groups[0]] == "#": return 0 # Now recurse return solve_line(record[groups[0] + 1 :], groups[1:]) lines = parse(input) return sum(solve_line(record, groups) for record, groups in lines) def main() -> None: input = sys.stdin.read().splitlines() print(solve(input)) if __name__ == "__main__": main()