110. Balanced Binary Tree
Easy
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 left and right subtrees of every node differ in height by no more than 1.
Example 1:
Input: root = [3,9,20,null,null,15,7] Output: true
Example 2:
Input: root = [1,2,2,3,3,null,null,4,4] Output: false
Example 3:
Input: root = [] Output: true
Constraints:
- The number of nodes in the tree is in the range
[0, 5000]
. -104 <= Node.val <= 104
Approach #
class Solution {
public boolean isBalanced(TreeNode root) {
return getHeight(root) != -1;
}
private int getHeight(TreeNode root){
if(root == null){
return 0;
}
int heightLeftSt = getHeight(root.left);
// can be further improved by: before recursing right, check if left is already imbalanced.
int heightRightSt = heightLeftSt != -1 ? getHeight(root.right) : -1;
// if(heightLeftSt == -1 || heightRightSt == -1 || Math.abs(heightLeftSt - heightRightSt) > 1){
// return -1;
// }
if(heightRightSt == -1 || Math.abs(heightLeftSt - heightRightSt) > 1){
return -1;
}
return Math.max(heightLeftSt, heightRightSt) +1;
}
}