mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-10-07 06:09:28 +00:00
41 lines
1.0 KiB
Python
41 lines
1.0 KiB
Python
# -*- coding: utf-8 -*-
|
||
"""
|
||
Problem:
|
||
|
||
The sum of the squares of the first ten natural numbers is,
|
||
1^2 + 2^2 + ... + 10^2 = 385
|
||
|
||
The square of the sum of the first ten natural numbers is,
|
||
(1 + 2 + ... + 10)^2 = 552 = 3025
|
||
|
||
Hence the difference between the sum of the squares of the first ten natural
|
||
numbers and the square of the sum is 3025 − 385 = 2640.
|
||
|
||
Find the difference between the sum of the squares of the first N natural
|
||
numbers and the square of the sum.
|
||
"""
|
||
|
||
|
||
def solution(n):
|
||
"""Returns the difference between the sum of the squares of the first n
|
||
natural numbers and the square of the sum.
|
||
|
||
>>> solution(10)
|
||
2640
|
||
>>> solution(15)
|
||
13160
|
||
>>> solution(20)
|
||
41230
|
||
>>> solution(50)
|
||
1582700
|
||
>>> solution(100)
|
||
25164150
|
||
"""
|
||
sum_of_squares = n * (n + 1) * (2 * n + 1) / 6
|
||
square_of_sum = (n * (n + 1) / 2) ** 2
|
||
return int(square_of_sum - sum_of_squares)
|
||
|
||
|
||
if __name__ == "__main__":
|
||
print(solution(int(input("Enter a number: ").strip())))
|