1.1 KiB
1.1 KiB
id | challengeType | title | forumTopicId |
---|---|---|---|
5900f5351000cf542c510047 | 5 | Problem 456: Triangles containing the origin II | 302130 |
Description
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).
Instructions
Tests
tests:
- text: <code>euler456()</code> should return 333333208685971500.
testString: assert.strictEqual(euler456(), 333333208685971500);
Challenge Seed
function euler456() {
// Good luck!
return true;
}
euler456();
Solution
// solution required