求二叉树的高度

思想：

(1) 方法一： 递归

(2) 方法二： 分层遍历。遍历的层数即高度

package com.zhaochao.tree;

/**
 * Created by zhaochao on 17/1/23.
 */
public class DepthOfBTree {

    public int depthOfTree(TreeNode root) {
        if(root == null) {
            return 0;
        }
        int leftDepth = depthOfTree(root.left);
        int rightDepth = depthOfTree(root.right);
        return Math.max(leftDepth, rightDepth) + 1;
    }

    public static void main(String[] args) {
        TreeNode root = new TreeNode(0);
        TreeNode node1 = new TreeNode(1);
        TreeNode node2 = new TreeNode(2);
        TreeNode node3 = new TreeNode(3);

        root.left = node1;
        root.right = node2;
        node2.left = node3;

        DepthOfBTree test = new DepthOfBTree();
        int length = test.depthOfTree(root);

        System.out.println(length);
    }

}



方法二：

package com.zhaochao.tree;

import java.lang.reflect.Array;
import java.util.ArrayList;
import java.util.LinkedList;
import java.util.List;
import java.util.Queue;

/**
 * Created by zhaochao on 17/1/23.
 */
public class LeverTraversal {

    public int depth = 0;
    public ArrayList<List<Integer>> leverOrder(TreeNode root) {

        ArrayList<List<Integer>> result = new ArrayList<List<Integer>>();

        if(root == null) {
            return result;
        }

        Queue<TreeNode> queue = new LinkedList<TreeNode>();
        queue.add(root);


        while(!queue.isEmpty()) {
            List<Integer> lever = new ArrayList<Integer>();
            int size = queue.size();
            depth++;
            for(int i = 0; i < size; i++) {
                TreeNode head = queue.poll();
                lever.add(head.val);
                if(head.left != null) {
                    queue.add(head.left);
                }
                if(head.right != null) {
                    queue.add(head.right);
                }
            }
            result.add(lever);
        }

        return result;
    }

    public static void main(String[] args) {

        TreeNode root = new TreeNode(0);
        TreeNode node1 = new TreeNode(1);
        TreeNode node2 = new TreeNode(2);
        TreeNode node3 = new TreeNode(3);

        root.left = node1;
        root.right = node2;
        node2.left = node3;

        LeverTraversal test = new LeverTraversal();
        ArrayList<List<Integer>> result = new ArrayList<List<Integer>>();
        result = test.leverOrder(root);
        for(int i = 0; i < result.size(); i++) {
            List<Integer> tmp = new ArrayList<Integer>();
            tmp = result.get(i);
            for(int j = 0; j < tmp.size(); j++) {
                System.out.print(tmp.get(j) + " ");
            }
            System.out.println();
        }
        System.out.println("The depth of the binary tree is : " + test.depth);
    }
}