2019-10-22 16:02:03 +00:00
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"""
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2020-10-07 09:59:55 +00:00
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Problem 20: https://projecteuler.net/problem=20
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2024-04-22 19:51:47 +00:00
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n! means n x (n - 1) x ... x 3 x 2 x 1
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2019-10-22 16:02:03 +00:00
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2024-04-22 19:51:47 +00:00
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For example, 10! = 10 x 9 x ... x 3 x 2 x 1 = 3628800,
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2019-10-22 16:02:03 +00:00
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and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27.
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Find the sum of the digits in the number 100!
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"""
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2024-03-13 06:52:41 +00:00
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2019-10-22 16:02:03 +00:00
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from math import factorial
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2020-10-07 09:59:55 +00:00
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def solution(num: int = 100) -> int:
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"""Returns the sum of the digits in the factorial of num
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2019-10-22 16:02:03 +00:00
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>>> solution(1000)
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10539
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>>> solution(200)
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1404
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>>> solution(100)
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648
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>>> solution(50)
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216
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>>> solution(10)
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27
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>>> solution(5)
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3
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>>> solution(3)
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6
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>>> solution(2)
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2
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>>> solution(1)
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1
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>>> solution(0)
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1
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"""
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2020-10-07 09:59:55 +00:00
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return sum(map(int, str(factorial(num))))
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2019-10-22 16:02:03 +00:00
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if __name__ == "__main__":
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print(solution(int(input("Enter the Number: ").strip())))
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