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Balanced Binary Tree


Problem Description

Given a root of binary tree A, determine if it is height-balanced.

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.



Problem Constraints

1 <= size of tree <= 100000



Input Format

First and only argument is the root of the tree A.



Output Format

Return 0 / 1 ( 0 for false, 1 for true ) for this problem.



Example Input

Input 1:

    1
   / \
  2   3

Input 2:

 
       1
      /
     2
    /
   3



Example Output

Output 1:

1

Output 2:

0



Example Explanation

Explanation 1:

It is a complete binary tree.

Explanation 2:

Because for the root node, left subtree has depth 2 and right subtree has depth 0. 
Difference = 2 > 1. 



NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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