61 lines
1.8 KiB
Markdown
61 lines
1.8 KiB
Markdown
|
---
|
|||
|
|
title: Ackermann function
|
|||
|
|
id: 594810f028c0303b75339acf
|
|||
|
|
challengeType: 5
|
|||
|
|
videoUrl: ''
|
|||
|
|
localeTitle: 阿克曼功能
|
|||
|
|
---
|
|||
|
|
|
|||
|
|
## Description
|
|||
|
|
<section id="description"><p> Ackermann函数是递归函数的典型示例，尤其值得注意的是它不是原始递归函数。它的值增长非常快，其调用树的大小也是如此。 </p><p> Ackermann函数通常定义如下： </p> $$ A（m，n）= \ begin {cases} n + 1＆\ mbox {if} m = 0 \\ A（m-1,1）＆\ mbox {if} m> 0 \ mbox {和} n = 0 \\ A（m-1，A（m，n-1））＆\ mbox {if} m> 0 \ mbox {和} n> 0. \ end {cases} $$ <p>它的论点永远不会消极，它总是终止。编写一个返回$ A（m，n）$的值的函数。任意精度是首选（因为函数增长如此之快），但不是必需的。 </p></section>
|
|||
|
|
|
|||
|
|
## Instructions
|
|||
|
|
<section id="instructions">
|
|||
|
|
</section>
|
|||
|
|
|
|||
|
|
## Tests
|
|||
|
|
<section id='tests'>
|
|||
|
|
|
|||
|
|
```yml
|
|||
|
|
tests:
|
|||
|
|
- text: <code>ack</code>是一个功能。
|
|||
|
|
testString: 'assert(typeof ack === "function", "<code>ack</code> is a function.");'
|
|||
|
|
- text: '<code>ack(0, 0)</code>应该返回1。'
|
|||
|
|
testString: 'assert(ack(0, 0) === 1, "<code>ack(0, 0)</code> should return 1.");'
|
|||
|
|
- text: '<code>ack(1, 1)</code>应该返回3。'
|
|||
|
|
testString: 'assert(ack(1, 1) === 3, "<code>ack(1, 1)</code> should return 3.");'
|
|||
|
|
- text: '<code>ack(2, 5)</code>应该返回13。'
|
|||
|
|
testString: 'assert(ack(2, 5) === 13, "<code>ack(2, 5)</code> should return 13.");'
|
|||
|
|
- text: '<code>ack(3, 3)</code>应该返回61。'
|
|||
|
|
testString: 'assert(ack(3, 3) === 61, "<code>ack(3, 3)</code> should return 61.");'
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
</section>
|
|||
|
|
|
|||
|
|
## Challenge Seed
|
|||
|
|
<section id='challengeSeed'>
|
|||
|
|
|
|||
|
|
<div id='js-seed'>
|
|||
|
|
|
|||
|
|
```js
|
|||
|
|
function ack (m, n) {
|
|||
|
|
// Good luck!
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
|
|||
|
|
|
|||
|
|
</section>
|
|||
|
|
|
|||
|
|
## Solution
|
|||
|
|
<section id='solution'>
|
|||
|
|
|
|||
|
|
```js
|
|||
|
|
// solution required
|
|||
|
|
```
|
|||
|
|
</section>
|