2018-10-10 18:03:03 -04:00
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---
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id: 5900f4e61000cf542c50fff9
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challengeType: 5
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title: 'Problem 378: Triangle Triples'
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2019-08-28 16:26:13 +03:00
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forumTopicId: 302040
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2018-10-10 18:03:03 -04:00
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localeTitle: 'Задача 378: Треугольные тройки'
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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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Пусть T (n) - n-е число треугольников, поэтому T (n) = <p> n (n + 1) 2 </p><p> , </p><p> Пусть dT (n) - число делителей T (n). Например: T (7) = 28 и dT (7) = 6. </p><p> Пусть Tr (n) - число троек (i, j, k) таких, что 1 ≤ i <j <k ≤ n и dT (i)> dT (j)> dT (k). Tr (20) = 14, Tr (100) = 5772 и Tr (1000) = 11174776. </p><p> Найдите Tr (60 000 000). Дайте последние 18 цифр вашего ответа. </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>euler378()</code> should return 147534623725724700.
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testString: assert.strictEqual(euler378(), 147534623725724700);
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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 euler378() {
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// Good luck!
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return true;
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}
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euler378();
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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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