2018-10-10 18:03:03 -04:00
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---
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id: 5900f5351000cf542c510047
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challengeType: 5
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title: 'Problem 456: Triangles containing the origin II'
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2019-08-28 16:26:13 +03:00
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forumTopicId: 302130
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2018-10-10 18:03:03 -04:00
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localeTitle: 'Задача 456: Треугольники, содержащие начало II'
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---
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## Description
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2019-08-28 16:26:13 +03:00
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<section id='description'>
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Определить: xn = (1248n mod 32323) - 16161yn = (8421n mod 30103) - 15051 Pn = {(x1, y1), (x2, y2), ..., (xn, yn)} <p> Например, P8 = {(-14913, -6630), (-10161, 5625), (5226, 11896), (8340, -10778), (15852, -5203), (-15165, 11295), (- 1427, -14495), (12407, 1060)}. </p><p> Пусть C (n) - число треугольников, вершины которых находятся в Pn, которые содержат начало координат внутри. </p><p> Примеры: C (8) = 20oC (600) = 8950634oC (40 000) = 2666610948988 </p><p> Найдите C (2 000 000). </p>
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</section>
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2018-10-10 18:03:03 -04:00
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## Instructions
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2019-08-28 16:26:13 +03:00
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<section id='instructions'>
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2018-10-10 18:03:03 -04:00
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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2019-08-28 16:26:13 +03:00
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- text: <code>euler456()</code> should return 333333208685971500.
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testString: assert.strictEqual(euler456(), 333333208685971500);
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2018-10-10 18:03:03 -04:00
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler456() {
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// Good luck!
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return true;
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}
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euler456();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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2019-08-28 16:26:13 +03:00
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2018-10-10 18:03:03 -04:00
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</section>
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