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PROJECT EULER · #0456

Triangles Containing the Origin II

Statement only · UnsolvedOriginal problem ↗

Define:
xn=(1248nmod32323)16161
yn=(8421nmod30103)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(40000)=2666610948988

Find C(2000000).

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