project_euler.problem_028.sol1
==============================

.. py:module:: project_euler.problem_028.sol1

.. autoapi-nested-parse::

   Problem 28
   Url: https://projecteuler.net/problem=28
   Statement:
   Starting with the number 1 and moving to the right in a clockwise direction a 5
   by 5 spiral is formed as follows:

       21 22 23 24 25
       20  7  8  9 10
       19  6  1  2 11
       18  5  4  3 12
       17 16 15 14 13

   It can be verified that the sum of the numbers on the diagonals is 101.

   What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed
   in the same way?



Attributes
----------

.. autoapisummary::

   project_euler.problem_028.sol1.n


Functions
---------

.. autoapisummary::

   project_euler.problem_028.sol1.solution


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

.. py:function:: solution(n: int = 1001) -> int

   Returns the sum of the numbers on the diagonals in a n by n spiral
   formed in the same way.

   >>> solution(1001)
   669171001
   >>> solution(500)
   82959497
   >>> solution(100)
   651897
   >>> solution(50)
   79697
   >>> solution(10)
   537


.. py:data:: n