freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-174-counting-the-number-of-hollow-square-laminae-that-can-form-one-two-three-...-distinct-arrangements.english.md

id	challengeType	title
5900f41a1000cf542c50ff2d	5	Problem 174: Counting the number of "hollow" square laminae that can form one, two, three, ... distinct arrangements

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. Given eight tiles it is possible to form a lamina in only one way: 3x3 square with a 1x1 hole in the middle. However, using thirty-two tiles it is possible to form two distinct laminae.

If t represents the number of tiles used, we shall say that t = 8 is type L(1) and t = 32 is type L(2). Let N(n) be the number of t ≤ 1000000 such that t is type L(n); for example, N(15) = 832. What is ∑ N(n) for 1 ≤ n ≤ 10?

Instructions

Tests

tests:
  - text: <code>euler174()</code> should return 209566.
    testString: assert.strictEqual(euler174(), 209566, '<code>euler174()</code> should return 209566.');

Challenge Seed

function euler174() {
  // Good luck!
  return true;
}

euler174();

Solution

// solution required