Question
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.
Solution
递归遍历这棵树,然后求出子树左右孩子的高度差,如果大于1,那么返回false。 实现中定义了left,right,用于存储每一颗子树的左右子树的高度,max(left, right) + 1,是用于计算这颗子树的高度。
Code
/**
* Definition for binary tree
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
bool isBalanced(TreeNode *root) {
int depth = 0;
return isBalanced_Solution(root, depth);
}
// 传引用保存每一颗子树的高度
bool isBalanced_Solution(TreeNode* root, int& depth) {
if (root == NULL) {
depth = 0;
return true;
}
int left,right;
if (isBalanced_Solution(root->left, left) && isBalanced_Solution(root->right, right)) {
int diff = abs(left - right);
if (diff <= 1) {
depth = max(left, right) + 1;
return true;
}
}
return false;
}
};