mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 15:01:08 +00:00
4700297b3e
* Enable ruff RUF002 rule * Fix --------- Co-authored-by: Christian Clauss <cclauss@me.com>
55 lines
1.2 KiB
Python
55 lines
1.2 KiB
Python
"""
|
|
Problem 20: https://projecteuler.net/problem=20
|
|
|
|
n! means n x (n - 1) x ... x 3 x 2 x 1
|
|
|
|
For example, 10! = 10 x 9 x ... x 3 x 2 x 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())))
|