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Maximum Depth of a Binary Tree

The maximum depth of a binary tree is defined as the number of nodes along the longest path from the root node to the farthest leaf node. It is the height of the binary tree. Let’s look at some examples to find the depth of a binary tree.

Depth of a Binary Tree Problem Statement:

Find the maximum depth of a given binary tree.




Learn how to Construct the Binary Tree with the inorder and preorder traversal.


The height of a binary tree is the number of nodes along the longest path from the root node down to the farthest leaf node.


  • 0 <= number of nodes <= 2 * 104
  • -103 <= value of a binary tree node <= 103

Know how to Validate a Binary Search Tree.

Code for Maximum Depth of a Binary Tree:


Asymptotic complexity in terms of the number of nodes `n`.

* Time: O(n).

* Auxiliary space: O(n).

* Total space: O(n).


int height_of_binary_tree(BinaryTreeNode *root) {

   if (root == NULL) {

       return 0;


   int left_subtree_height = 

   int right_subtree_height = 

   return max(left_subtree_height, right_subtree_height) + 1;


Find out how to Build a Balanced BST from a Sorted Array.

We hope that this solution to finding Maximum Depth of a Binary Tree problem will help you level up your coding skills. Companies such as Goldman Sachs, Facebook, Microsoft, and Oracle include Maximum Depth/Height of a Binary Tree interview questions in their tech interviews. 

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