freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-292-pythagorean-polygons.md

id	title	challengeType	forumTopicId	dashedName
5900f4911000cf542c50ffa3	Problem 292: Pythagorean Polygons	5	301944	problem-292-pythagorean-polygons

--description--

We shall define a pythagorean polygon to be a convex polygon with the following properties:

• there are at least three vertices,
• no three vertices are aligned,
• each vertex has integer coordinates,
• each edge has integer length.

For a given integer n, define P(n) as the number of distinct pythagorean polygons for which the perimeter is ≤ n.

Pythagorean polygons should be considered distinct as long as none is a translation of another.

You are given that P(4) = 1, P(30) = 3655 and P(60) = 891045.

Find P(120).

--hints--

pythagoreanPolygons() should return 3600060866.

assert.strictEqual(pythagoreanPolygons(), 3600060866);

--seed--

--seed-contents--

function pythagoreanPolygons() {

  return true;
}

pythagoreanPolygons();

--solutions--

// solution required