project_euler.problem_173.sol1
==============================

.. py:module:: project_euler.problem_173.sol1

.. autoapi-nested-parse::

   Project Euler Problem 173: https://projecteuler.net/problem=173

   We shall define a square lamina to be a square outline with a square "hole" so that
   the shape possesses vertical and horizontal symmetry. For example, using exactly
   thirty-two square tiles we can form two different square laminae:

   With one-hundred tiles, and not necessarily using all of the tiles at one time, it is
   possible to form forty-one different square laminae.

   Using up to one million tiles how many different square laminae can be formed?



Functions
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.. autoapisummary::

   project_euler.problem_173.sol1.solution


Module Contents
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.. py:function:: solution(limit: int = 1000000) -> int

   Return the number of different square laminae that can be formed using up to
   one million tiles.
   >>> solution(100)
   41