yaworsw/euler-manager

---
:id: 173
:name: Using up to one million tiles how many different "hollow" square laminae can
  be formed?
:url: https://projecteuler.net/problem=173
:content: |+
  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:

   ![]({{ images_dir }}/p173_square_laminas.gif)

  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?