A non-empty binary tree is height-balanced if: Its left subtree is height-balanced. May 21, 2020 September 16, 2014 by Sumit Jain Binary Tree : A data structure in which we have nodes containing data and two references to other nodes, one on the left and one on the right. Nodes which are smaller than root will be in left subtree. 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. Example: Binary search tree is a special type of binary tree which have following properties. Objective: Given a binary tree, Find whether if a Given Binary Tree is Balanced? The definition of a height-balanced binary tree is: Binary tree in which the height of the two subtrees of every node never differ by more than 1. Given a binary tree, determine if it is height-balanced. Balanced Tree – AVL Tree in Java In this tutorial, we’re gonna look at AVL Tree Data Structure. The binary search trees (BST) are binary trees, who has lesser element at left child, and greater element at right child. It is a balanced binary search tree – the heights of given node’s children trees don’t differ more than 1 (with height of node = max of its children node + 1). This is a typical tree problem that can be solve by using recursion. To learn more about the height of a tree/node, visit Tree Data Structure.Following are the conditions for a height-balanced binary tree: Analysis. A balanced binary tree, also referred to as a height-balanced binary tree, is defined as a binary tree in which the height of the left and right subtree of any node differ by not more than 1. Here we will see what is the balanced binary search tree. Here, we will focus on the parts related to the binary search tree like inserting a node, deleting a node, searching, etc. Java Solution It should not have duplicate nodes; Both left and right subtree also should be binary search tree. Search So, An empty binary tree is always height-balanced. What is balanced Tree: A balanced tree is a tree in which difference between heights of sub-trees of any node in the tree is not greater than one. It is depending on the height of the binary search tree. Nodes which are greater than root will be right subtree. A common type of binary tree is a binary search tree, in which every node has a value that is greater than or equal to the node values in the left sub-tree, and less than or equal to the node values in the right sub-tree. Also, the concepts behind a binary search tree are explained in the post Binary Search Tree. A binary tree is a recursive data structure where each node can have 2 children at most. The making of a node and traversals are explained in the post Binary Tree in Java: Traversals, Finding Height of Node. The average time complexity for searching elements in BST is O(log n). Input: A Binary Tree Output: True and false based on whether tree is balanced or not. 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