Thanks to Manish Chauhan for suggesting above idea and Ravi for providing implementation. Note that the path must end on a leaf node. To find the heights of left and right subtrees we use in-order traversal. An example of a perfect binary tree is the (non-incestuous) ancestry chart of a person to a given depth, as each person has exactly two biological parents (one mother and one father). Required fields are marked *. Suppose we have one binary tree. The depth of a particular node in binary tree is the number of edges from the root node to that node. Experience. After finding the height of both left and right subtree we will store the height of the subtree which has maximum value and add 1 to it to include the current level of tree. It is measured in upward direction that is from child to parent. Time complexity of above solution is O(n) as it traverses the tree only once. The height of binary tree is the measure of length of the tree in the vertical direction. Convert a Binary Tree into its Mirror Tree. Given a binary tree, find its minimum depth. Find the maxium depth of right sub-tree recursively. To find the depth of the binary tree we will recursively calculate the depth of the left and right child of a node. The above method may end up with complete traversal of Binary Tree even when the topmost leaf is close to root. For example, the minimum height of below Binary Tree is also 2. Your email address will not be published. Don’t stop learning now. We will learn about: Many times, people are confused between Depth and Height of Binary tree. The depth is a measure of how far a node is from the root of the tree. Example: Given binary tree [3,9,20,null,null,15,7], 3 / \ 9 20 / \ 15 7. return its minimum depth = 2. If not leaf node then if the left subtree is NULL, then recur for the right subtree. For example, minimum height of below Binary Tree is 2. The maximum depth of a tree is the maximum number of nodes that are traversed to reach the leaf from the root using the longest path. Following are the steps to compute the height of a binary tree: If tree is empty then height of tree is 0. else Start from the root and , Find the maximum depth of left sub-tree recursively. So, it is important for us to understand the difference between the Height and Depth of Binary tree. Given a binary tree, find height of it. Attention reader! Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node. C/C++ Program for First Come First Served (FCFS) Scheduling Algorithm, Algorithm and implementation for finding height of Binary tree, Algorithm and implementation for finding depth of Binary tree. The depth of binary tree is the depth of the deepest node (leaf node). Writing code in comment? While doing traversal, returns depth of the first encountered leaf node. edit Time complexity of above solution is O(n) as it traverses the tree only once. code. Write Interview Please write to us at contribute@geeksforgeeks.org to report any issue with the above content. He spend most of his time in programming, blogging and helping other programming geeks. A crazy computer and programming lover. As the quote on top says sky is what we should see while calculating height. And if the right subtree is NULL, then recur for the left subtree. A Better Solution is to do Level Order Traversal. In this tutorial, we will learn how to find height and depth of binary tree with program implementation in C++. Lowest Common Ancestor in a Binary Search Tree. Inorder Tree Traversal without recursion and without stack! Thanks to Gaurav Ahirwar for providing above solution. Course at a student-friendly price and become industry ready link here is NULL, take! 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