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  • 二叉树的深度优先、广度优先遍历实现

    递归深度优先:

      1 package xh_algorithm.chapter03;
      2 
      3 import java.util.Arrays;
      4 import java.util.LinkedList;
      5 
      6 /**
      7  * @author zsh
      8  * @site qqzsh.top
      9  * @create 2019-08-15 10:28
     10  * @description 二叉树的遍历
     11  * 递归实现
     12  */
     13 public class Main1 {
     14 
     15     /**
     16      * 创建二叉树
     17      * @param inputList 输入序列
     18      * @return
     19      */
     20     public static TreeNode createBinaryTree(LinkedList<Integer> inputList){
     21         TreeNode node = null;
     22         if (inputList == null || inputList.isEmpty()){
     23             return null;
     24         }
     25         Integer date = inputList.removeFirst();
     26         if (date != null){
     27             node = new TreeNode(date);
     28             node.leftChild = createBinaryTree(inputList);
     29             node.rightChild = createBinaryTree(inputList);
     30         }
     31         return node;
     32     }
     33 
     34     /**
     35      * 二叉树的前序遍历
     36      * @param node 二叉树节点
     37      */
     38     static void preOrderTraveral(TreeNode node){
     39         if (node == null){
     40             return;
     41         }
     42         //根左右
     43         System.out.println(node.data);
     44         preOrderTraveral(node.leftChild);
     45         preOrderTraveral(node.rightChild);
     46     }
     47 
     48     /**
     49      * 二叉树的中序遍历
     50      * @param node 二叉树节点
     51      */
     52     static void inOrderTreveral(TreeNode node){
     53         if (node == null){
     54             return;
     55         }
     56         //左根右
     57         inOrderTreveral(node.leftChild);
     58         System.out.println(node.data);
     59         inOrderTreveral(node.rightChild);
     60     }
     61 
     62     /**
     63      * 二叉树的后序遍历
     64      * @param node 二叉树节点
     65      */
     66     static void postOrderTreveral(TreeNode node){
     67         if (node == null){
     68             return;
     69         }
     70         //左右根
     71         postOrderTreveral(node.leftChild);
     72         postOrderTreveral(node.rightChild);
     73         System.out.println(node.data);
     74     }
     75 
     76     public static void main(String[] args) {
     77         LinkedList<Integer> inputList = new LinkedList<>(Arrays.asList(new Integer[]{
     78             3,2,9,null,null,10,null,null,8,null,4
     79         }));
     80         TreeNode treeNode = createBinaryTree(inputList);
     81         System.out.println("前序遍历");
     82         preOrderTraveral(treeNode);
     83         System.out.println("中序遍历");
     84         inOrderTreveral(treeNode);
     85         System.out.println("后序遍历");
     86         postOrderTreveral(treeNode);
     87     }
     88 }
     89 
     90 /**
     91  * 二叉树节点
     92  */
     93 class TreeNode{
     94     int data;
     95     TreeNode leftChild;
     96     TreeNode rightChild;
     97 
     98     public TreeNode(int data) {
     99         this.data = data;
    100     }
    101 }
    View Code

    非递归深度优先:

      1 package xh_algorithm.chapter03;
      2 
      3 import java.util.Arrays;
      4 import java.util.LinkedList;
      5 import java.util.Stack;
      6 
      7 import static xh_algorithm.chapter03.Main1.createBinaryTree;
      8 
      9 /**
     10  * @author zsh
     11  * @site qqzsh.top
     12  * @create 2019-08-17 10:01
     13  * @description 二叉树的遍历
     14  * 非递归实现
     15  */
     16 public class Main2 {
     17 
     18     /**
     19      * 二叉树非递归前序遍历
     20      * @param root 二叉树根节点
     21      */
     22     static void preOrderTraveralWithStack(TreeNode root){
     23         Stack<TreeNode> stack = new Stack<>();
     24         TreeNode treeNode = root;
     25         while (treeNode != null || !stack.isEmpty()){
     26             //迭代访问左孩子
     27             while (treeNode != null){
     28                 System.out.println(treeNode.data);
     29                 stack.push(treeNode);
     30                 treeNode = treeNode.leftChild;
     31             }
     32             //如果节点没有左孩子,则弹出栈顶节点,访问节点右孩子
     33             if (!stack.isEmpty()){
     34                 treeNode = stack.pop();
     35                 treeNode = treeNode.rightChild;
     36             }
     37 
     38         }
     39     }
     40 
     41     /**
     42      * 二叉树非递归中序遍历
     43      * @param root 二叉树根节点
     44      */
     45     static void inOrderTraveralWithStack(TreeNode root){
     46         Stack<TreeNode> stack = new Stack<>();
     47         TreeNode treeNode = root;
     48         while (treeNode != null || !stack.isEmpty()){
     49             //迭代访问左孩子
     50             if (treeNode != null){
     51                 stack.push(treeNode);
     52                 treeNode = treeNode.leftChild;
     53             }else {
     54                 treeNode = stack.pop();
     55                 System.out.println(treeNode.data);
     56                 treeNode = treeNode.rightChild;
     57             }
     58         }
     59     }
     60 
     61     /**
     62      * 二叉树非递归后序遍历
     63      * @param root 二叉树根节点
     64      * 两个栈实现
     65      */
     66     static void postOrderTraveralWithStack(TreeNode root){
     67         Stack<TreeNode> stack = new Stack<>();
     68         Stack<TreeNode> stack2 = new Stack<>();
     69         stack.push(root);
     70         while (!stack.isEmpty()){
     71             TreeNode pop = stack.pop();
     72             stack2.push(pop);
     73             if (pop.leftChild != null){
     74                 stack.push(pop.leftChild);
     75             }
     76             if (pop.rightChild != null){
     77                 stack.push(pop.rightChild);
     78             }
     79         }
     80         while (!stack2.isEmpty()){
     81             TreeNode pop = stack2.pop();
     82             System.out.println(pop.data);
     83         }
     84     }
     85 
     86     /**
     87      * 二叉树非递归后序遍历
     88      * @param root 二叉树根节点
     89      * 一个栈实现
     90      */
     91     static void postOrderTraveralWithStack2(TreeNode root){
     92         Stack<TreeNode> stack = new Stack<>();
     93         //当前访问的结点
     94         TreeNode curNode;
     95         //上次访问的结点
     96         TreeNode lastVisitNode;
     97         curNode = root;
     98         lastVisitNode = null;
     99 
    100         //把currentNode移到左子树的最下边
    101         while(curNode != null){
    102             stack.push(curNode);
    103             curNode = curNode.leftChild;
    104         }
    105         while(!stack.empty()){
    106             curNode = stack.pop();  //弹出栈顶元素
    107             //一个根节点被访问的前提是:无右子树或右子树已被访问过
    108             if(curNode.rightChild!= null && curNode.rightChild !=lastVisitNode){
    109                 //根节点再次入栈
    110                 stack.push(curNode);
    111                 //进入右子树,且可肯定右子树一定不为空
    112                 curNode = curNode.rightChild;
    113                 while(curNode!= null){
    114                     //再走到右子树的最左边
    115                     stack.push(curNode);
    116                     curNode = curNode.leftChild;
    117                 }
    118             }else{
    119                 //访问
    120                 System.out.println(curNode.data);
    121                 //修改最近被访问的节点
    122                 lastVisitNode = curNode;
    123             }
    124         }
    125     }
    126 
    127     public static void main(String[] args) {
    128         LinkedList<Integer> inputList = new LinkedList<>(Arrays.asList(new Integer[]{
    129                 3,2,9,null,null,10,null,null,8,null,4
    130         }));
    131         TreeNode treeNode = createBinaryTree(inputList);
    132         System.out.println("前序遍历");
    133         preOrderTraveralWithStack(treeNode);
    134         System.out.println("中序遍历");
    135         inOrderTraveralWithStack(treeNode);
    136         System.out.println("后序遍历");
    137         postOrderTraveralWithStack(treeNode);
    138         System.out.println("后序遍历2");
    139         postOrderTraveralWithStack2(treeNode);
    140     }
    141 
    142 
    143 }
    View Code

     广度优先:

     1 package xh_algorithm.chapter03;
     2 
     3 import java.util.Arrays;
     4 import java.util.LinkedList;
     5 import java.util.Queue;
     6 
     7 import static xh_algorithm.chapter03.Main1.createBinaryTree;
     8 
     9 /**
    10  * @author zsh
    11  * @site qqzsh.top
    12  * @create 2019-08-17 11:04
    13  * @description 二叉树的层序遍历
    14  */
    15 public class Main3 {
    16 
    17     /**
    18      * 二叉树的层序遍历
    19      * @param root 二叉树根节点
    20      */
    21     static void levelOrderTraversal(TreeNode root){
    22         Queue<TreeNode> queue = new LinkedList<>();
    23         queue.offer(root);
    24         while (!queue.isEmpty()){
    25             TreeNode node = queue.poll();
    26             System.out.println(node.data);
    27             if (node.leftChild != null){
    28                 queue.offer(node.leftChild);
    29             }
    30             if (node.rightChild != null){
    31                 queue.offer(node.rightChild);
    32             }
    33         }
    34     }
    35 
    36     public static void main(String[] args) {
    37         LinkedList<Integer> inputList = new LinkedList<>(Arrays.asList(new Integer[]{
    38                 3,2,9,null,null,10,null,null,8,null,4
    39         }));
    40         TreeNode treeNode = createBinaryTree(inputList);
    41         System.out.println("层序遍历");
    42         levelOrderTraversal(treeNode);
    43     }
    44 }
    View Code
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  • 原文地址:https://www.cnblogs.com/zsh-blogs/p/11367859.html
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