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.

Examples:
Example 1:
narry1

Example 2:
nary2



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');
   (root->child).push_back(newNode('B'));
   (root->child).push_back(newNode('F'));
   (root->child).push_back(newNode('D'));
   (root->child).push_back(newNode('E'));
   (root->child[0]->child).push_back(newNode('K'));
   (root->child[0]->child).push_back(newNode('J'));
   (root->child[2]->child).push_back(newNode('G'));
   (root->child[3]->child).push_back(newNode('C'));
   (root->child[3]->child).push_back(newNode('H'));
   (root->child[3]->child).push_back(newNode('I'));
   (root->child[0]->child[0]->child).push_back(newNode('N'));
   (root->child[0]->child[0]->child).push_back(newNode('M'));
   (root->child[3]->child[2]->child).push_back(newNode('L'));

   cout << depthOfTree(root) << endl;

   return 0;
}

Output:

4

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

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