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  • 二叉树前序,中序,后序递归和非递归实现

    TreeNode定义

     1 public class TreeNode {
     2     public TreeNode left;
     3     public TreeNode right;
     4     public int val;
     5     
     6     public TreeNode(int val) {
     7         this.val = val;
     8     }
     9     
    10     /**
    11      * 搞一棵二叉树出来
    12      *                     1
    13      *                    /  
    14      *                   2    3
    15      *                   / 
    16      *                  4 5  6
    17      * @return
    18      */
    19     public static TreeNode createTree(){
    20         TreeNode root = new TreeNode(1);
    21         TreeNode node1 = new TreeNode(2);
    22         TreeNode node2 = new TreeNode(3);
    23         TreeNode node3 = new TreeNode(4);
    24         TreeNode node4 = new TreeNode(5);
    25         TreeNode node5 = new TreeNode(6);
    26         
    27         root.left = node1;
    28         root.right = node2;
    29         
    30         node1.right = node3;
    31         node2.left = node4;
    32         node2.right = node5;
    33         
    34         return root;
    35     }
    36 }

    ---------------------------------------------我是分割线,前序遍历---------------------------------------

     1 /**
     2  * 前序遍历非递归实现
     3  * @author GXF
     4  *
     5  */
     6 public class PreOrderTreeByNoRec {
     7 
     8     public static void main(String[] args) {
     9         PreOrderTreeByNoRec preOrderTreeByNoRec = new PreOrderTreeByNoRec();
    10         TreeNode root = TreeNode.createTree();
    11         preOrderTreeByNoRec.preOrderByRecursive(root);
    12         System.out.println();
    13         preOrderTreeByNoRec.preOrderByNoRec(root);
    14 
    15     }
    16     
    17     /**
    18      * 前序遍历二叉树,非递归实现
    19      * @param root
    20      */
    21     public void preOrderByNoRec(TreeNode root){
    22         if(root == null)
    23             return;
    24         Stack<TreeNode> stack = new Stack<TreeNode>();
    25         System.out.print(root.val + " ");
    26         stack.push(root);
    27         
    28         TreeNode curPoint = root.left;
    29         
    30         while(!stack.isEmpty() || curPoint != null){
    31             if(curPoint != null){
    32                 System.out.print(curPoint.val + " ");
    33                 stack.push(curPoint);
    34                 curPoint = curPoint.left;
    35             }//if
    36             
    37             curPoint = stack.pop().right;
    38         }
    39         
    40         System.out.println();
    41         
    42     }
    43     
    44     /**
    45      * 前序遍历递归实现
    46      * @param root
    47      */
    48     public void preOrderByRecursive(TreeNode root){
    49         if(root != null){
    50             System.out.print(root.val + " ");
    51             preOrderByRecursive(root.left);
    52             preOrderByRecursive(root.right);
    53         }
    54         
    55     
    56     }
    57     
    58     
    59 
    60 }

    ---------------------------------------------我是分割线,中序遍历---------------------------------------

     1 import java.util.Stack;
     2 
     3 /**
     4  * 中序遍历的非递归实现
     5  * @author GXF
     6  *
     7  */
     8 public class InorderTreeByNoRecursive {
     9 
    10     public static void main(String[] args) {
    11         InorderTreeByNoRecursive inorderTreeByNoRecursive = new InorderTreeByNoRecursive();
    12         TreeNode root = TreeNode.createTree();
    13         
    14         inorderTreeByNoRecursive.inorderByRecursive(root);
    15         System.out.println();
    16         inorderTreeByNoRecursive.inorderByNoRecursive(root);
    17     }
    18     
    19     /**
    20      * 中序遍历递归实现
    21      */
    22     public void inorderByRecursive(TreeNode root){
    23         if(root != null){
    24             inorderByRecursive(root.left);
    25             System.out.print(root.val + " ");
    26             inorderByRecursive(root.right);
    27         }
    28     }
    29     
    30     /**
    31      * 中序遍历非递归实现
    32      * @param root
    33      */
    34     public void inorderByNoRecursive(TreeNode root){
    35         if(root == null)
    36             return;
    37         Stack<TreeNode> stack = new Stack<TreeNode>();
    38         stack.push(root);
    39         TreeNode curPoint = root.left;
    40         //开始中序遍历
    41         while(curPoint != null || !stack.isEmpty()){
    42             while(curPoint != null){
    43                 stack.push(curPoint);
    44                 curPoint = curPoint.left;
    45             }//while
    46             
    47             //访问根结点
    48             curPoint = stack.pop();
    49             System.out.print(curPoint.val + " ");
    50             curPoint = curPoint.right;
    51         }
    52     }
    53 
    54 }

    ---------------------------------------------我是分割线,后序遍历---------------------------------------

     1 import java.util.HashMap;
     2 import java.util.Map;
     3 import java.util.Stack;
     4 
     5 public class PostorderNoRecurvise {
     6 
     7     public static void main(String[] args) {
     8         TreeNode root = TreeNode.createTree();
     9         
    10         PostorderNoRecurvise postorderNoRecurvise = new PostorderNoRecurvise();
    11         postorderNoRecurvise.postorderByRecursive(root);
    12         System.out.println();
    13         postorderNoRecurvise.postorderByNoRecurvise(root);
    14     }
    15     
    16     /**
    17      * 递归进行后序遍历
    18      * @param root
    19      */
    20     public void postorderByRecursive(TreeNode root){
    21         if(root != null){
    22             postorderByRecursive(root.left);
    23             postorderByRecursive(root.right);
    24             System.out.print(root.val + " ");
    25         }
    26     }
    27     
    28     /**
    29      * 后序遍历非递归实现
    30      * @param root
    31      */
    32     public void postorderByNoRecurvise(TreeNode root){
    33         if(root == null)
    34             return;
    35         //记录结点是否被访问过
    36         Map<TreeNode, Boolean> visited = new HashMap<TreeNode, Boolean>();
    37         Stack<TreeNode> stack = new Stack<TreeNode>();
    38         stack.push(root);
    39         TreeNode curPoint = root.left;
    40         while(curPoint != null)
    41         {
    42             stack.push(curPoint);
    43             curPoint = curPoint.left;
    44         }
    45         while(!stack.isEmpty()){
    46             curPoint = stack.peek();
    47             if(curPoint.right == null || visited.get(curPoint.right) != null){
    48                 curPoint = stack.pop();
    49                 System.out.print(curPoint.val + " ");
    50                 visited.put(curPoint, true);
    51             }
    52             else{
    53                 curPoint = curPoint.right;
    54                 while(curPoint != null){
    55                     stack.push(curPoint);
    56                     curPoint = curPoint.left;
    57                 }
    58             }
    59         }
    60     }
    61 
    62 }

    后序遍历需要额外空间保存已经访问过的节点

    ---------------------------------------------我是分割线,层序遍历---------------------------------------

     1 import java.util.LinkedList;
     2 import java.util.Queue;
     3 
     4 /**
     5  * 二叉树层序遍历
     6  * @author GXF
     7  *
     8  */
     9 public class LevelTravel {
    10 
    11     public static void main(String[] args) {
    12         TreeNode root = TreeNode.createTree();
    13         
    14         LevelTravel levelTravel = new LevelTravel();
    15         levelTravel.levelTravel(root);
    16     }
    17     
    18     /**
    19      * 二叉树层序遍历11
    20      * @param root
    21      */
    22     public void levelTravel(TreeNode root){
    23         if(root == null)
    24             return;
    25         Queue<TreeNode> queue = new LinkedList<TreeNode>();
    26         queue.add(root);
    27         while(!queue.isEmpty()){
    28             root = queue.poll();
    29             System.out.print(root.val + " ");
    30             if(root.left != null)
    31                 queue.add(root.left);
    32             if(root.right != null)
    33                 queue.add(root.right);
    34         }
    35     }
    36 }
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  • 原文地址:https://www.cnblogs.com/luckygxf/p/4662763.html
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