Home > Article > Web Front-end > Detailed explanation of several recursive total permutation algorithms in JavaScript

Detailed explanation of several recursive total permutation algorithms in JavaScript

伊谢尔伦Original: 2017-07-24 13:15:422231browse

Exchange (recursive)

<html xmlns="http://www.w3.org/1999/xhtml">  
<head>  
    <meta http-equiv="Content-Type" content="text/html; charset=utf-8" />  
    <title>Full Permutation(Recursive Swap) - Mengliao Software</title>  
</head>  
<body>  
<p>Full Permutation(Recursive Swap)<br />  
Mengliao Software Studio - Bosun Network Co., Ltd.<br />  
2011.05.24</p>  
<script type="text/javascript">  
/*  
全排列（递归交换）算法  
1、将第一个位置分别放置各个不同的元素；  
2、对剩余的位置进行全排列（递归）；  
3、递归出口为只对一个元素进行全排列。  
*/ 
function swap(arr,i,j) {  
    if(i!=j) {  
        var temp=arr[i];  
        arr[i]=arr[j];  
        arr[j]=temp;  
    }  
}  
var count=0;  
function show(arr) {  
    document.write("P<sub>"+ ++count+"</sub>: "+arr+"<br />");  
}  
function perm(arr) {  
    (function fn(n) { //为第n个位置选择元素  
        for(var i=n;i<arr.length;i++) {  
            swap(arr,i,n);  
            if(n+1<arr.length-1) //判断数组中剩余的待全排列的元素是否大于1个  
                fn(n+1); //从第n+1个下标进行全排列  
            else 
                show(arr); //显示一组结果  
            swap(arr,i,n);  
        }  
    })(0);  
}  
perm(["e1","e2","e3","e4"]);  
</script>  
</body>  
</html>

Link (recursive)

<html xmlns="http://www.w3.org/1999/xhtml">  
<head>  
    <meta http-equiv="Content-Type" content="text/html; charset=utf-8" />  
    <title>Full Permutation(Recursive Link) - Mengliao Software</title>  
</head>  
<body>  
<p>Full Permutation(Recursive Link)<br />  
Mengliao Software Studio - Bosun Network Co., Ltd.<br />  
2012.03.29</p>  
<script type="text/javascript">  
/*  
全排列（递归链接）算法  
1、设定源数组为输入数组，结果数组存放排列结果（初始化为空数组）；  
2、逐一将源数组的每个元素链接到结果数组中（生成新数组对象）；  
3、从原数组中删除被链接的元素（生成新数组对象）；  
4、将新的源数组和结果数组作为参数递归调用步骤2、3，直到源数组为空，则输出一个排列。  
*/ 
var count=0;  
function show(arr) {  
    document.write("P<sub>"+ ++count+"</sub>: "+arr+"<br />");  
}  
function perm(arr) {  
    (function fn(source, result) {  
        if (source.length == 0)  
            show(result);  
        else 
            for (var i = 0; i < source.length; i++)  
                fn(source.slice(0, i).concat(source.slice(i + 1)), result.concat(source[i]));  
    })(arr, []);  
}  
perm(["e1", "e2", "e3", "e4"]);  
</script>  
</body>  
</html>

Backtracking (recursive)

<html xmlns="http://www.w3.org/1999/xhtml">  
<head>  
    <meta http-equiv="Content-Type" content="text/html; charset=utf-8" />  
    <title>Full Permutation(Recursive Backtrack) - Mengliao Software</title>  
</head>  
<body>  
<p>Full Permutation(Recursive Backtrack)<br />  
Mengliao Software Studio - Bosun Network Co., Ltd.<br />  
2012.03.29</p>  
<script type="text/javascript">  
/*  
全排列（递归回溯）算法  
1、建立位置数组，即对位置进行排列，排列成功后转换为元素的排列；  
2、建立递归函数，用来搜索第n个位置；  
3、第n个位置搜索方式与八皇后问题类似。  
*/ 
var count = 0;  
function show(arr) {  
    document.write("P<sub>" + ++count + "</sub>: " + arr + "<br />");  
}  
function seek(index, n) {  
    if (n >= 0) //判断是否已回溯到了第一个位置之前，即已经找到了所有位置排列  
        if (index[n] < index.length - 1) { //还有下一个位置可选  
            index[n]++; //选择下一个位置  
            if ((function () { //该匿名函数判断该位置是否已经被选择过  
                for (var i = 0; i < n; i++)  
                    if (index[i] == index[n]) return true; //已选择  
                return false; //未选择  
            })())  
                return seek(index, n); //重新找位置  
            else 
                return true; //找到  
        }  
        else { //当前无位置可选，进行递归回溯  
            index[n] = -1; //取消当前位置  
            if (seek(index, n - 1)) //继续找上一个位置  
                return seek(index, n); //重新找当前位置  
            else 
                return false; //已无位置可选  
        }  
    else 
        return false;  
}  
function perm(arr) {  
    var index = new Array(arr.length);  
    for (var i = 0; i < index.length; i++)  
        index[i] = -1; //初始化所有位置为-1，以便++后为0  
    for (i = 0; i < index.length - 1; i++)  
        seek(index, i); //先搜索前n-1个位置  
    while (seek(index, index.length - 1)) { //不断搜索第n个位置，即找到所有位置排列  
        var temp = [];  
        for (i = 0; i < index.length; i++) //将位置之转换为元素  
            temp.push(arr[index[i]]);  
        show(temp);  
    }  
}  
perm(["e1", "e2", "e3", "e4"]);  
</script>  
</body>  
</html>

The above is the detailed content of Detailed explanation of several recursive total permutation algorithms in JavaScript. For more information, please follow other related articles on the PHP Chinese website!

Statement：

The content of this article is voluntarily contributed by netizens, and the copyright belongs to the original author. This site does not assume corresponding legal responsibility. If you find any content suspected of plagiarism or infringement, please contact admin@php.cn

Previous article：Nodejsnode package management and distribution tool command summaryNext article：Nodejsnode package management and distribution tool command summary

See more

Detailed explanation of several recursive total permutation algorithms in JavaScript

Related articles