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---
id: 5900f3761000cf542c50fe88
challengeType: 5
title: 'Problem 9: Special Pythagorean triplet'
videoUrl: ''
localeTitle: 问题9特殊的毕达哥拉斯三重奏
---
## Description
<section id="description">毕达哥拉斯三元组是一组三个自然数, <var>a</var> &lt; <var>b</var> &lt; <var>c</var> ,其中, <div style="text-align: center;"> <var>a</var> <sup>2</sup> + <var>b</var> <sup>2</sup> = <var>c</var> <sup>2</sup> </div>例如3 <sup>2</sup> + 4 <sup>2</sup> = 9 + 16 = 25 = 5 <sup>2</sup> 。恰好存在一个毕达哥拉斯三元组,其中<var>a</var> + <var>b</var> + <var>c</var> = 1000.求产品<var>abc</var>使得<var>a</var> + <var>b</var> + <var>c</var> = <code>n</code></section>
## Instructions
<section id="instructions">
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>specialPythagoreanTriplet(1000)</code>应返回31875000。
testString: 'assert.strictEqual(specialPythagoreanTriplet(1000), 31875000, "<code>specialPythagoreanTriplet(1000)</code> should return 31875000.");'
- text: <code>specialPythagoreanTriplet(24)</code>应该返回480。
testString: 'assert.strictEqual(specialPythagoreanTriplet(24), 480, "<code>specialPythagoreanTriplet(24)</code> should return 480.");'
- text: <code>specialPythagoreanTriplet(120)</code>应该返回49920。
testString: 'assert.strictEqual(specialPythagoreanTriplet(120), 49920, "<code>specialPythagoreanTriplet(120)</code> should return 49920.");'
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function specialPythagoreanTriplet(n) {
let sumOfabc = n;
// Good luck!
return true;
}
specialPythagoreanTriplet(1000);
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>