73 lines
1.1 KiB
Markdown
73 lines
1.1 KiB
Markdown
---
|
||
id: 5900f4ab1000cf542c50ffbe
|
||
challengeType: 5
|
||
videoUrl: ''
|
||
title: 问题319:有界序列
|
||
---
|
||
|
||
## Description
|
||
<section id="description">
|
||
令x1,x2,...,xn为长度为n的序列,使得:
|
||
x1 = 2
|
||
对于所有1 <i≤n:xi-1 <xi
|
||
对于所有1≤i,j≤n的i和j:(xi)j <(xj + 1)i
|
||
|
||
这样的长度为2的序列只有五个,即:
|
||
{2,4},{2,5},{2,6},{2,7}和{2,8}。
|
||
有293个这样的长度为5的序列。 以下是三个示例:
|
||
{2,5,11,25,55},{2,6,14,36,88},{2,8,22,64,181}。
|
||
|
||
|
||
令t(n)表示长度为n的此类序列的数量。
|
||
给出t(10)= 86195和t(20)= 5227991891。
|
||
|
||
|
||
找出t(1010)并给出答案模块109。
|
||
</section>
|
||
|
||
## Instructions
|
||
<section id="instructions">
|
||
</section>
|
||
|
||
## Tests
|
||
<section id='tests'>
|
||
|
||
```yml
|
||
tests:
|
||
- text: <code>euler319()</code>应该返回268457129。
|
||
testString: assert.strictEqual(euler319(), 268457129);
|
||
|
||
```
|
||
|
||
</section>
|
||
|
||
## Challenge Seed
|
||
<section id='challengeSeed'>
|
||
|
||
<div id='js-seed'>
|
||
|
||
```js
|
||
function euler319() {
|
||
// Good luck!
|
||
return true;
|
||
}
|
||
|
||
euler319();
|
||
|
||
```
|
||
|
||
</div>
|
||
|
||
|
||
|
||
</section>
|
||
|
||
## Solution
|
||
<section id='solution'>
|
||
|
||
```js
|
||
// solution required
|
||
```
|
||
|
||
/section>
|