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java二叉树遍历

java二叉树遍历

作者: smallkong | 来源:发表于2019-02-23 22:10 被阅读0次

    数据结构主要是数据以及数据与数据之间的关系。二叉树这种数据结构的数据:就是节点里面存放的值,数据与数据之间的关系就是:一个节点最多有2个子节点。

    其它相关概念不懂的自己百度,直接看代码,程序实现了求二叉树的高度,结点数,前序遍历,中序,后序遍历以及非递归方法前序遍历。

    二叉树结构图
    代码
    package smallkong;
    
    import java.util.Stack;
    
    public class BinaryTree {
        private TreeNode  root = null;
        
        public BinaryTree(){
            root = new TreeNode(1, "A");
        }
        
        public class TreeNode{
            private int index;
            private String data;
            private TreeNode leftChild;
            private TreeNode rightChild;
            
        
            public int getIndex() {
                return index;
            }
    
    
            public void setIndex(int index) {
                this.index = index;
            }
    
    
            public String getData() {
                return data;
            }
    
    
            public void setData(String data) {
                this.data = data;
            }
    
    
            public TreeNode(int index,String data){
                this.index = index;
                this.data = data;
                this.leftChild = null;
                this.rightChild = null;
            }
        }
        
        /**
         * 构建二叉树
         *         A
         *     B       C
         * D      E        F
         */
        public void createBinaryTree(){
            TreeNode nodeB = new TreeNode(2, "B");
            TreeNode nodeC = new TreeNode(3, "C");
            TreeNode nodeD = new TreeNode(4, "D");
            TreeNode nodeE = new TreeNode(5, "E");
            TreeNode nodeF = new TreeNode(6, "F");
            root.leftChild = nodeB;
            root.rightChild = nodeC;
            nodeB.leftChild = nodeD;
            nodeB.rightChild = nodeE;
            nodeC.rightChild = nodeF;
        }
        
        /**
         * 求二叉树的高度
         * @author smallkong
         *
         */
        public int getHeight(){
            return getHeight(root);
        }
        
        private int getHeight(TreeNode node) {
            if(node == null){
                return 0;
            }else{
                int i = getHeight(node.leftChild);
                int j = getHeight(node.rightChild);
                return (i<j)?j+1:i+1;
            }
        }
    
        /**
         * 获取二叉树的结点数
         * @author smallkong
         *
         */
        public int getSize(){
            return getSize(root);
        }
        
        
        private int getSize(TreeNode node) {
            if(node == null){
                return 0;
            }else{
                return 1+getSize(node.leftChild)+getSize(node.rightChild);
            }
        }
    
        /**
         * 前序遍历——递归
         * @author smallkong
         *
         */
        public void preOrder(TreeNode node){
            if(node == null){
                return;
            }else{
                System.out.print(node.getData());
                preOrder(node.leftChild);
                preOrder(node.rightChild);
            }
        }
        
        /**
         * 前序遍历——非递归
         */
        
        public void nonRecOrder(TreeNode node){
            if(node == null){
                return;
            }
            Stack<TreeNode> stack = new Stack<TreeNode>();
            stack.push(node);
            while(!stack.isEmpty()){
                //出栈和进栈
                TreeNode n = stack.pop();//弹出根结点
                //压入子结点
                System.out.print(n.getData());
                if(n.rightChild!=null){
                    stack.push(n.rightChild);
                    
                }
                if(n.leftChild!=null){
                    stack.push(n.leftChild);
                }
            }
        }
        /**
         * 中序遍历——递归
         * @author smallkong
         *
         */
        public void midOrder(TreeNode node){
            if(node == null){
                return;
            }else{
                midOrder(node.leftChild);
                System.out.print(node.getData());
                midOrder(node.rightChild);
            }
        }
        
        /**
         * 后序遍历——递归
         * @author smallkong
         *
         */
        public void postOrder(TreeNode node){
            if(node == null){
                return;
            }else{
                postOrder(node.leftChild);
                postOrder(node.rightChild);
                System.out.print(node.getData());
            }
        }
        
        
        public static void main(String[] args){
            BinaryTree binaryTree = new BinaryTree();
            binaryTree.createBinaryTree();
            
            int height = binaryTree.getHeight();
            System.out.println("树的高度treeHeihgt:"+height);
            
            int size = binaryTree.getSize();
            System.out.println("结点数treeSize:"+size);
            
            System.out.print("前序preOrder data:");
            binaryTree.preOrder(binaryTree.root);
            
            System.out.print("\n中序midOrder data:");
            binaryTree.midOrder(binaryTree.root);
            
            System.out.print("\n后序postOrder data:");
            binaryTree.postOrder(binaryTree.root);
            
            System.out.print("\n前序非递归preOrder data:");
            binaryTree.nonRecOrder(binaryTree.root);
        }
    }
    
    运行结果:

    树的高度treeHeihgt:3
    结点数treeSize:6
    前序preOrder data:ABDECF
    中序midOrder data:DBEACF
    后序postOrder data:DEBFCA
    前序非递归preOrder data:ABDECF

    更多编程资料
    微信公众号 smallkong

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