""" Problem 20: https://projecteuler.net/problem=20 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! """ def factorial(num: int) -> int: """Find the factorial of a given number n""" fact = 1 for i in range(1, num + 1): fact *= i return fact def split_and_add(number: int) -> int: """Split number digits and add them.""" sum_of_digits = 0 while number > 0: last_digit = number % 10 sum_of_digits += last_digit number = number // 10 # Removing the last_digit from the given number return sum_of_digits def solution(num: int = 100) -> int: """Returns the sum of the digits in the factorial of num >>> solution(100) 648 >>> solution(50) 216 >>> solution(10) 27 >>> solution(5) 3 >>> solution(3) 6 >>> solution(2) 2 >>> solution(1) 1 """ nfact = factorial(num) result = split_and_add(nfact) return result if __name__ == "__main__": print(solution(int(input("Enter the Number: ").strip())))