LeetCode（24）-Balanced Binary Tree

题目：

Given a binary tree, determine if it is height-balanced.

For this problem, a height-balanced binary tree is defined as a binary tree in which the depth of the two subtrees of every node never differ by more than 1.

思路：

• 题目的大意是【判断一个二叉树是不是平衡二叉树
• 首先了解平衡二叉树的概念：只有根节点是，或者左右节点的深度只差不大于1
• 因为二叉树本身是一个递归的结构，所以二叉树的好多问题使可以用递归解决的，考虑root和root.left以及root.right的关系

代码：

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    public boolean isBalanced(TreeNode root) {
        if(root == null){
            return true;
        }
        if(Math.abs(depth(root.left)-depth(root.right)) > 1){
            return false;
        }
        return isBalanced(root.left)&&isBalanced(root.right);
    }
    public int depth(TreeNode root){
        if(root == null){
            return 0;
        }
        return 1+Math.max(depth(root.left),depth(root.right));
    }
}