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

id, challengeType, title, forumTopicId

id	challengeType	title	forumTopicId
5900f4911000cf542c50ffa3	5	Problem 292: Pythagorean Polygons	301944

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).

Instructions

Tests

tests:
  - text: <code>euler292()</code> should return 3600060866.
    testString: assert.strictEqual(euler292(), 3600060866);

Challenge Seed

function euler292() {
  // Good luck!
  return true;
}

euler292();

Solution

// solution required