mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 17:20:16 +00:00
44254cf112
* Rename all Project Euler directories: Reason: The change was done to maintain consistency throughout the directory and to keep all directories in sorted order. Due to the above change, some config files had to be modified: 'problem_22` -> `problem_022` * Update scripts to pad zeroes in PE directories
55 lines
1.2 KiB
Python
55 lines
1.2 KiB
Python
"""
|
||
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())))
|