Depth of an N-Ary tree

Given an N-Ary tree, find depth of the tree. An N-Ary tree is a tree in which nodes can have at most N children.

Example 1:

Example 2:

N-Ary tree can be traversed just like a normal tree. We just have to consider all childs of a given node and recursively call that function on every node.

// C++ program to find the height of
// an N-ary tree
#include <bits/stdc++.h>
using namespace std;
// Structure of a node of an n-ary tree
struct Node
   char key;
   vector<Node *> child;
// Utility function to create a new tree node
Node *newNode(int key)
   Node *temp = new Node;
   temp->key = key;
   return temp;
// Function that will return the depth
// of the tree
int depthOfTree(struct Node *ptr)
    // Base case
    if (!ptr)
        return 0;
    // Check for all children and find
    // the maximum depth
    int maxdepth = 0;
    for (vector<Node*>::iterator it = ptr->child.begin();
                              it != ptr->child.end(); it++)
        maxdepth = max(maxdepth, depthOfTree(*it));
    return maxdepth + 1 ;
// Driver program
int main()
   /*   Let us create below tree
   *             A
   *         / /  \  \
   *       B  F   D  E
   *      / \    |  /|\
   *     K  J    G  C H I
   *      /\            \
   *    N   M            L
   Node *root = newNode('A');
   cout << depthOfTree(root) << endl;
   return 0;



This article is contributed by Shubham Gupta. If you like GeeksforGeeks and would like to contribute, you can also write an article using or mail your article to See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

My Personal Notes arrow_drop_up

Article Tags :
Practice Tags :

Be the First to upvote.

Please write to us at to report any issue with the above content.