freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-410-circle-and-tangent-line.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f5071000cf542c510018	Problem 410: Circle and tangent line	5	302079	problem-410-circle-and-tangent-line

--description--

Let C be the circle with radius r, x^2 + y^2 = r^2. We choose two points P(a, b) and Q(-a, c) so that the line passing through P and Q is tangent to C.

For example, the quadruplet (r, a, b, c) = (2, 6, 2, -7) satisfies this property.

Let F(R, X) be the number of the integer quadruplets (r, a, b, c) with this property, and with 0 < r ≤ R and 0 < a ≤ X.

We can verify that F(1, 5) = 10, F(2, 10) = 52 and F(10, 100) = 3384.

Find F({10}^8, {10}^9) + F({10}^9, {10}^8).

--hints--

circleAndTangentLine() should return 799999783589946600.

assert.strictEqual(circleAndTangentLine(), 799999783589946600);

--seed--

--seed-contents--

function circleAndTangentLine() {

  return true;
}

circleAndTangentLine();

--solutions--

// solution required