#!/usr/bin/env python3

# n! means n × (n − 1) × ... × 3 × 2 × 1
#
# For example, 10! = 10 × 9 × ... × 3 × 2 × 1 = 3628800,
# and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27.
#
# Find the sum of the digits in the number 100!

from math import factorial

from projecteuler import timing


@timing
def p020() -> None:
    # Calculate the factorial, convert the result to string and sum the digits.
    n = str(factorial(100))

    _sum = 0

    for i in n:
        _sum = _sum + int(i)

    print('Project Euler, Problem 20')
    print(f'Answer: {_sum}')


if __name__ == '__main__':
    p020()