56 lines
1.2 KiB
Markdown
56 lines
1.2 KiB
Markdown
|
---
|
|||
|
|
id: 5900f5231000cf542c510034
|
|||
|
|
challengeType: 5
|
|||
|
|
videoUrl: ''
|
|||
|
|
localeTitle: 问题438：多项式方程解的整数部分
|
|||
|
|
---
|
|||
|
|
|
|||
|
|
## Description
|
|||
|
|
<section id="description">对于整数的n元组t =（a1，...，an），let（x1，...，xn）是多项式方程xn + a1xn-1 + a2xn-2 + ... +的解。 an-1x + an = 0。 <p>考虑以下两个条件：x1，...，xn都是真实的。如果x1，...，xn被排序，则⌊xi⌋= i，1≤i≤n。 （⌊·⌋：地板功能。） </p><p>在n = 4的情况下，有12个n元组的整数满足两个条件。我们将S（t）定义为t中整数绝对值的总和。对于n = 4，我们可以验证满足两个条件的所有n元组t的ΣS（t）= 2087。 </p><p>找到ΣS（t）为n = 7。 </p></section>
|
|||
|
|
|
|||
|
|
## Instructions
|
|||
|
<section id="instructions">
|
|||
|
|
</section>
|
|||
|
|
|
|||
|
|
## Tests
|
|||
|
|
<section id='tests'>
|
|||
|
|
|
|||
|
|
```yml
|
|||
|
|
tests:
|
|||
|
|
- text: <code>euler438()</code>应该返回2046409616809。
|
|||
|
|
testString: assert.strictEqual(euler438(), 2046409616809);
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
</section>
|
|||
|
|
|
|||
|
|
## Challenge Seed
|
|||
|
|
<section id='challengeSeed'>
|
|||
|
|
|
|||
|
|
<div id='js-seed'>
|
|||
|
|
|
|||
|
|
```js
|
|||
|
|
function euler438() {
|
|||
|
|
// Good luck!
|
|||
|
|
return true;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
euler438();
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
|
|||
|
|
|
|||
|
|
</section>
|
|||
|
|
|
|||
|
|
## Solution
|
|||
|
|
<section id='solution'>
|
|||
|
|
|
|||
|
|
```js
|
|||
|
|
// solution required
|
|||
|
|
```
|
|||
|
|
|||
|
|
/section>
|