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Balanced Binary Tree

时间:2016-07-08 06:48:01      阅读:151      评论:0      收藏:0      [点我收藏+]

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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.

Example

Given binary tree A = {3,9,20,#,#,15,7}, B = {3,#,20,15,7}

A)  3            B)    3 
   / \                    9  20                 20
    /  \                /    15   7              15  7

The binary tree A is a height-balanced binary tree, but B is not.

 1 /**
 2  * Definition of TreeNode:
 3  * public class TreeNode {
 4  *     public int val;
 5  *     public TreeNode left, right;
 6  *     public TreeNode(int val) {
 7  *         this.val = val;
 8  *         this.left = this.right = null;
 9  *     }
10  * }
11  */
12 public class Solution {
13     /**
14      * @param root: The root of binary tree.
15      * @return: True if this Binary tree is Balanced, or false.
16      */
17     public boolean isBalanced(TreeNode root) {  
18         if (root == null) return true;  
19         if (Math.abs(height(root.left) - height(root.right)) > 1) return false;  
20         return isBalanced(root.left) && isBalanced(root.right);  
21     }  
22       
23     public int height(TreeNode root) {  
24         if (root == null) return 0;  
25         return Math.max(height(root.left), height(root.right)) + 1;  
26     }  
27 }

 

Balanced Binary Tree

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原文地址:http://www.cnblogs.com/beiyeqingteng/p/5652091.html

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