id	title	challengeType	forumTopicId	dashedName
5900f5351000cf542c510047	Problem 456: Triangles containing the origin II	5	302130	problem-456-triangles-containing-the-origin-ii

--description--

Define:xn = (1248n mod 32323) - 16161yn = (8421n mod 30103) - 15051

Pn = {(x1, y1), (x2, y2), ..., (xn, yn)}

For example, P8 = {(-14913, -6630), (-10161, 5625), (5226, 11896), (8340, -10778), (15852, -5203), (-15165, 11295), (-1427, -14495), (12407, 1060)}.

Let C(n) be the number of triangles whose vertices are in Pn which contain the origin in the interior.

Examples: C(8) = 20 C(600) = 8950634 C(40 000) = 2666610948988

Find C(2 000 000).

--hints--

euler456() should return 333333208685971500.

assert.strictEqual(euler456(), 333333208685971500);

function euler456() {

  return true;
}

euler456();

// solution required