sol1.py

"""
Project Euler Problem 6: https://projecteuler.net/problem=6

Sum square difference

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.
"""


defsolution(n: int=100) ->int:
"""
 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
 """

sum_of_squares=0
sum_of_ints=0
foriinrange(1, n+1):
sum_of_squares+=i**2
sum_of_ints+=i
returnsum_of_ints**2-sum_of_squares


if__name__=="__main__":
print(f"{solution() =}")