freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-420-2x2-positive-integer-matrix.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f5111000cf542c510023	Problem 420: 2x2 positive integer matrix	5	302090	problem-420-2x2-positive-integer-matrix

--description--

A positive integer matrix is a matrix whose elements are all positive integers.

Some positive integer matrices can be expressed as a square of a positive integer matrix in two different ways. Here is an example:

We define F(N) as the number of the 2x2 positive integer matrices which have a trace less than N and which can be expressed as a square of a positive integer matrix in two different ways. We can verify that F(50) = 7 and F(1000) = 1019.

Find F(107).

--hints--

euler420() should return 145159332.

assert.strictEqual(euler420(), 145159332);

--seed--

--seed-contents--

function euler420() {

  return true;
}

euler420();

--solutions--

// solution required