Stepik. Перевод двоичной периодической дроби в десятичную обыкновенную

num_in_2_base = input()


def floating_from_base_to_decimal(floating_in_base: str, base: int):
    result = 0
    for i in range(0, len(floating_in_base)):
        result += int(floating_in_base[i]) * base ** (-i - 1)
    return result


parts = num_in_2_base.split(".")
if len(parts) == 1:
    print(int(parts[0], 2), 1)
else:
    integer_part = int(parts[0], 2)
    non_periodic_floating_part = 0
    floating_parts = parts[1].split("(")
    if len(floating_parts[0]) > 0:
        non_periodic_floating_part = floating_from_base_to_decimal(
            floating_parts[0], 2
        )

    if len(floating_parts) > 1:
        floating_parts[1] = floating_parts[1][:-1]

        denominator1 = 2 ** len(floating_parts[1]) - 1
        general_denominator = denominator1 * 2 ** len(floating_parts[0])
        periodic_floating_part = int(floating_parts[1], 2)
        numerator = int(
            (integer_part + non_periodic_floating_part) * general_denominator
            + periodic_floating_part
        )
        for i in range(2, general_denominator + 1, 1):
            while general_denominator % i == 0 and numerator % i == 0:
                numerator //= i
                general_denominator //= i
    else:
        general_denominator = 1
        numerator = integer_part + non_periodic_floating_part
        while numerator % 1 > 0:
            numerator *= 2
            general_denominator *= 2
    print(int(numerator), int(general_denominator))