freeCodeCamp/curriculum/challenges/portuguese/08-coding-interview-prep/project-euler/problem-454-diophantine-rec...

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---
id: 5900f5331000cf542c510045
challengeType: 5
title: 'Problem 454: Diophantine reciprocals III'
videoUrl: ''
localeTitle: 'Problema 454: Recíprocos Diofantinos III'
---
## Description
<section id="description"> Na seguinte equação x, y e n são inteiros positivos. <p> 1x + 1y = 1n </p><p> Para um limite L, definimos F (L) como o número de soluções que satisfazem x &lt;y ≤ L. </p><p> Podemos verificar que F (15) = 4 e F (1000) = 1069. Encontre F (1012). </p></section>
## Instructions
<section id="instructions">
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler454()</code> deve retornar 5435004633092.
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>