# Problem 456: Triangles containing the origin II
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).