#!/usr/bin/env python3

import sys


def memo(f):
    memo = {}

    def f2(x,y):
        if (x,tuple(y)) not in memo: memo[(x,tuple(y))] = f(x,tuple(y))
        return memo[(x,tuple(y))]
    return f2


def fulfills(spring, cond):
    return [len(b) for b in spring.split('.') if len(b) > 0] == cond


def dot(spring, cond):
    if len(spring) == 0 or spring[0] != '#': return solve_r(spring[1:], cond)
    else: return 0


def hashtag(spring, cond):
    c = cond[0]
    if len(spring) < c: return 0
    for x in range(c):
        if spring[x] == '.': return 0
    return dot(spring[c:], cond[1:])


@memo
def solve_r(spring, cond):
    cond = [int(c) for c in cond]
    if cond == []: return 1 if spring.count('#') == 0 else 0
    if not '?' in spring: return 1 if fulfills(spring, cond) else 0
    if spring == '': return 0
    return dot(spring, cond) + hashtag(spring, cond)


if __name__ == '__main__':
    springs = [line.strip('\n').split(' ') for line in open(sys.argv[1])]
    res1 = 0
    res2 = 0
    for s in springs:
        res1 += solve_r(s[0], [int(c) for c in s[1].split(',')])
        res2 += solve_r('?'.join([s[0]]*5),[int(c) for c in s[1].split(',')*5])

    # challenge 1
    res1 = str(res1)
    print(f"challenge 1:\n{res1}\n")

    # challenge 2
    res2 = str(res2)
    print(f"challenge 2:\n{res2}\n")