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难度:容易
要求:
给定一个二叉树,确定它是高度平衡的。对于这个问题,一棵高度平衡的二叉树的定义是:一棵二叉树中每个节点的两个子树的深度相差不会超过1。
样例给出二叉树 A={3,9,20,#,#,15,7}
, B={3,#,20,15,7}
A) 3 B) 3
/ \ \
9 20 20
/ \ / \
15 7 15 7
二叉树A是高度平衡的二叉树,但是B不是
思路:
可以用递归的思路求左右子树的深度
/**
* Definition of TreeNode:
* public class TreeNode {
* public int val;
* public TreeNode left, right;
* public TreeNode(int val) {
* this.val = val;
* this.left = this.right = null;
* }
* }
*/
public class Solution {
/**
* @param root: The root of binary tree.
* @return: True if this Binary tree is Balanced, or false.
*/
public boolean isBalanced(TreeNode root) {
// write your code here
return maxDepth(root) != -1;
}
public int maxDepth(TreeNode node){
if(node == null){
return 0;
}
int leftDepth = maxDepth(node.left);
int rightDepth = maxDepth(node.right);
if(leftDepth == -1 || rightDepth == -1 || Math.abs(leftDepth - rightDepth) > 1){
return -1;
}
return Math.max(leftDepth,rightDepth) + 1;
}
}