freeCodeCamp/problem-456-triangles-containing-the-origin-ii.english.md at 92377cf71af628cb5ea6b28ff7d6fa66a9b52449

mrugesh 22afc2a0ca feat(learn): python certification projects (#38216 )

Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com>
Co-authored-by: Beau Carnes <beaucarnes@gmail.com>

2020-05-27 13:19:08 +05:30

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id, challengeType, isHidden, title, forumTopicId

id	challengeType	isHidden	title	forumTopicId
5900f5351000cf542c510047	5	false	Problem 456: Triangles containing the origin II	302130

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).

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

1.1 KiB Raw Blame History