56 lines
1.3 KiB
Markdown
56 lines
1.3 KiB
Markdown
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---
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id: 5900f3d91000cf542c50feeb
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challengeType: 5
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title: 'Problem 108: Diophantine Reciprocals I'
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videoUrl: ''
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localeTitle: 'Задача 108: диофантовы входы I'
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---
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## Description
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<section id="description"> В следующем уравнении x, y и n - целые положительные числа. 1 / <var>x</var> + 1 / <var>y</var> = 1 / <var>n</var> Для <var>n</var> = 4 существует ровно три различных решения: 1/5 + 1/20 = 1/4 <br> 1/6 + 1/12 = 1/4 <br> 1/8 + 1/8 = 1/4. Какое наименьшее значение <var>n,</var> для которого количество различных решений превышает одну тысячу? </section>
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## Instructions
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<section id="instructions">
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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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- text: <code>diophantineOne()</code> должен вернуть 180180.
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testString: 'assert.strictEqual(diophantineOne(), 180180, "<code>diophantineOne()</code> should return 180180.");'
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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 diophantineOne() {
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// Good luck!
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return true;
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}
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diophantineOne();
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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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</section>
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