project_euler.problem_006.sol4
==============================

.. py:module:: project_euler.problem_006.sol4

.. autoapi-nested-parse::

   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.



Functions
---------

.. autoapisummary::

   project_euler.problem_006.sol4.solution


Module Contents
---------------

.. py:function:: solution(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