Balanced Binary Tree

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.
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Problem Correction
Example
Given binary tree A = {3,9,20,#,#,15,7}, B = {3,#,20,15,7}

A)  3            B)    3 
   / \                  \
  9  20                 20
    /  \                / \
   15   7              15  7

The binary tree A is a height-balanced binary tree, but B is not.

  • 运用了Maximum Depth of Binary Tree的知识,判断左右相减绝对值大于1就不是 balanced,返回-1(用-1表示不是balanced)
public class Solution {
    public boolean isBalanced(TreeNode root) {
        return (maxDepth(root) != -1);
    }

    private int maxDepth(TreeNode root) {
        if(root == null) {
            return 0;
        }

        int left = maxDepth(root.left);
        int right = maxDepth(root.right);
        if(left == -1 || right == -1 || Math.abs(left - right) > 1) {
            return -1;
        }
        return Math.max(left, right) + 1;
    }
}

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