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project-euler/src/Python/Problems001-050/Problem006.py

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#!/usr/bin/env python
"""
Created on 17 Jun 2017
@author: David Doblas Jiménez
@email: daviddoji@pm.me
Solution for problem 6 of Project Euler
https://projecteuler.net/problem=6
"""
from utils import timeit
@timeit("Problem 6")
def compute():
"""
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 = 55^2 = 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 one
hundred natural numbers and the square of the sum.
"""
n = 100
square_of_sum = sum(i for i in range(1, n + 1)) ** 2
sum_squares = sum(i**2 for i in range(1, n + 1))
diff = square_of_sum - sum_squares
return diff
if __name__ == "__main__":
print(f"Result for Problem 6 is {compute()}")