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---
id: 5900f5331000cf542c510045
challengeType: 5
title: 'Problem 454: Diophantine reciprocals III'
videoUrl: ''
localeTitle: 'Задача 454: диофантовы обратные III'
---
## Description
<section id="description"> В следующем уравнении x, y и n - целые положительные числа. <p> 1x + 1y = 1n </p><p> Для предела L определим F (L) как число решений, удовлетворяющих x &lt;y ≤ L. </p><p> Мы можем проверить, что F (15) = 4 и F (1000) = 1069. Найти F (1012). </p></section>
## Instructions
<section id="instructions">
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: ''
testString: 'assert.strictEqual(euler454(), 5435004633092, "<code>euler454()</code> should return 5435004633092.");'
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler454() {
// Good luck!
return true;
}
euler454();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>