from lib_misc import permutations


def is_solution(s):
    a, b, c = int(s[0:2]), int(s[2:5]), int(s[5:])
    if a * b == c:
        return c
    a, b, c = int(s[0:1]), int(s[1:5]), int(s[5:])
    if a * b == c:
        return c
    return 0


def euler_032():
    return sum(set([is_solution("".join(p))
                    for p in permutations("123456789")]))


if __name__ == "__main__":
    assert(is_solution("391867254") == 7254)
    assert(is_solution("391867245") == 0)
    print("e032.py: {}".format(euler_032()))
    assert(euler_032() == 45228)