freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-372-pencils-of-rays.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f4e11000cf542c50fff3	Problem 372: Pencils of rays	5	302034	problem-372-pencils-of-rays

--description--

Let R(M, N) be the number of lattice points (x, y) which satisfy M \lt x \le N, M \lt y \le N and \left\lfloor\frac{y^2}{x^2}\right\rfloor is odd.

We can verify that R(0, 100) = 3\\,019 and R(100, 10\\,000) = 29\\,750\\,422.

Find R(2 \times {10}^6, {10}^9).

Note: \lfloor x\rfloor represents the floor function.

--hints--

pencilsOfRays() should return 301450082318807040.

assert.strictEqual(pencilsOfRays(), 301450082318807040);

--seed--

--seed-contents--

function pencilsOfRays() {

  return true;
}

pencilsOfRays();

--solutions--

// solution required