freeCodeCamp/curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-173-using-up-to-one-million-tiles-how-many-different-hollow-square-laminae-can-be-formed.md

id	title	challengeType	forumTopicId	dashedName
5900f41a1000cf542c50ff2c	Problem 173: Using up to one million tiles how many different "hollow" square laminae can be formed?	5	301808	problem-173-using-up-to-one-million-tiles-how-many-different-hollow-square-laminae-can-be-formed

--description--

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?

--hints--

euler173() should return 1572729.

assert.strictEqual(euler173(), 1572729);

--seed--

--seed-contents--

function euler173() {

  return true;
}

euler173();

--solutions--

// solution required