930 B
930 B
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);
--seed--
--seed-contents--
function euler456() {
return true;
}
euler456();
--solutions--
// solution required