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>
|