LeetCode: Balanced Binary Tree [110]
时间:2014-06-20 11:02:54
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【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.
【题意】
判断二叉树是否是平衡二叉树
【思路】
按照定义,递归求解即可。
【代码】
/**
* Definition for binary tree
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
int getHeight(TreeNode *root){
if(root==NULL)return 0;
//获得左子树高度
int leftHeight=getHeight(root->left);
if(leftHeight==-1)return -1;
//获得右子树高度
int rightHeight=getHeight(root->right);
if(rightHeight==-1)return -1;
//判断左右子树高度差是否符合要求, 如果符合要求,则返回当前二叉树的高,如果不符合要求,则返回-1
if(abs(leftHeight-rightHeight)<=1)
return max(leftHeight, rightHeight)+1;
return -1;
}
bool isBalanced(TreeNode *root) {
if(root==NULL)return true;
int height=getHeight(root);
if(height==-1)return false;
return true;
}
};
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