56 lines
1.2 KiB
Markdown
56 lines
1.2 KiB
Markdown
---
|
||
id: 5900f54b1000cf542c51005d
|
||
challengeType: 5
|
||
title: 'Problem 479: Roots on the Rise'
|
||
videoUrl: ''
|
||
localeTitle: 问题479:崛起的根源
|
||
---
|
||
|
||
## Description
|
||
<section id="description">设ak,bk和ck表示表达式1 / x =(k / x)2(k + x2)-kx的三个解(实数或复数)。 <p>例如,对于k = 5,我们看到{a5,b5,c5}约为{5.727244,-0.363622 + 2.057397i,-0.363622-2.057397i}。 </p><p>令所有整数p,k的S(n)=Σ(ak + bk)p(bk + ck)p(ck + ak)p,使得1≤p,k≤n。 </p><p>有趣的是,S(n)总是一个整数。例如,S(4)= 51160。 </p><p>求S(106)modulo 1 000 000 007。 </p></section>
|
||
|
||
## Instructions
|
||
<section id="instructions">
|
||
</section>
|
||
|
||
## Tests
|
||
<section id='tests'>
|
||
|
||
```yml
|
||
tests:
|
||
- text: <code>euler479()</code>应该返回191541795。
|
||
testString: 'assert.strictEqual(euler479(), 191541795, "<code>euler479()</code> should return 191541795.");'
|
||
|
||
```
|
||
|
||
</section>
|
||
|
||
## Challenge Seed
|
||
<section id='challengeSeed'>
|
||
|
||
<div id='js-seed'>
|
||
|
||
```js
|
||
function euler479() {
|
||
// Good luck!
|
||
return true;
|
||
}
|
||
|
||
euler479();
|
||
|
||
```
|
||
|
||
</div>
|
||
|
||
|
||
|
||
</section>
|
||
|
||
## Solution
|
||
<section id='solution'>
|
||
|
||
```js
|
||
// solution required
|
||
```
|
||
</section>
|