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.
/**
* 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) {
//两个递归,一个递归求树的高度,另一个递归求左右树是否平衡
if (root == NULL)
return true;
int l= height(root->left);
int r= height(root->right);
if(l-r>=-1&&l-r<=1)
return isBalanced(root->left)&&isBalanced(root->right);
else
return false;
}
int height (TreeNode* root)
{
if(root==NULL)
return 0;
else
{if (root->left ==NULL )
return height(root->right)+1;
if(root->right == NULL)
return height(root->left)+1;
else
{
int l= height(root->left)+1;
int r= height(root->right)+1;
return max(l,r);
}
}
}
};