49 lines
930 B
Markdown
49 lines
930 B
Markdown
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---
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id: 5900f5351000cf542c510047
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title: 'Problem 456: Triangles containing the origin II'
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challengeType: 5
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forumTopicId: 302130
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dashedName: problem-456-triangles-containing-the-origin-ii
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---
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# --description--
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Define:xn = (1248n mod 32323) - 16161yn = (8421n mod 30103) - 15051
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Pn = {(x1, y1), (x2, y2), ..., (xn, yn)}
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For example, P8 = {(-14913, -6630), (-10161, 5625), (5226, 11896), (8340, -10778), (15852, -5203), (-15165, 11295), (-1427, -14495), (12407, 1060)}.
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Let C(n) be the number of triangles whose vertices are in Pn which contain the origin in the interior.
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Examples: C(8) = 20 C(600) = 8950634 C(40 000) = 2666610948988
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Find C(2 000 000).
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# --hints--
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`euler456()` should return 333333208685971500.
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```js
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assert.strictEqual(euler456(), 333333208685971500);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler456() {
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return true;
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}
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euler456();
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```
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# --solutions--
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```js
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// solution required
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```
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