
Problem Description:
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.
题目大意:
给定一棵二叉树,判断它是否平衡。一个平衡的二叉树的左右子树的深度差小于或等于1.
Solutions:
很简单的DFS问题,先判断左右子树是否为平衡二叉树,再判断它们的高度差是否在1以内。
Code in C++:
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
bool isBalanced(TreeNode* root) {
if(!root) return true;
if(isBalanced(root->left)&&isBalanced(root->right))
if(abs(height(root->left)-height(root->right))<2)
return true;
return false;
}
int height(TreeNode* root)
{
if(!root) return 0;
return 1+max(height(root->left),height(root->right));
}
};




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