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Algorithm

110. Balanced Binary Tree

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 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

Solution

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public boolean isBalanced(TreeNode root) {
        if(root==null){
            return true;
        }
        int left = depth(root.left);
        int right = depth(root.right);
        if(left-right>1 || right-left>1){
            return false;
        }
        return isBalanced(root.left)&&isBalanced(root.right);
    }

    public int depth(TreeNode root) {
        if(root == null){
            return 0;
        }
        if(root.left==null&&root.right==null){
            return 1;
        }
        int left = depth(root.left);
        int right = depth(root.right);
        return left>right?left+1:right+1;
    }
}

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