from typing import Any, Iterator

from ..base import BaseSolver


def iter_combinations(value: int, containers: list[int]) -> Iterator[tuple[int, ...]]:
    if value < 0:
        return

    if value == 0:
        yield ()

    for i in range(len(containers)):
        for combination in iter_combinations(
            value - containers[i], containers[i + 1 :]
        ):
            yield (containers[i],) + combination


class Solver(BaseSolver):
    def solve(self, input: str) -> Iterator[Any]:
        containers = [int(c) for c in input.split()]
        total = 25 if len(containers) <= 5 else 150

        combinations = [
            combination for combination in iter_combinations(total, containers)
        ]

        yield len(combinations)

        min_containers = min(len(combination) for combination in combinations)
        yield sum(
            1 for combination in combinations if len(combination) == min_containers
        )