# Number of nodes greater than a given value in n-ary tree

Given a n-ary tree and a number x, find and return the number of nodes which are greater than x.

Example:

```In the given tree, x = 5

Number of nodes greater than x are 4.
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach :
The idea is maintain a count variable initialize to 0. Traverse the tree and compare root data with x. If root data is greater than x, increment the count variable and recursively call for all its children.

Below is the implementation of idea.

```// CPP program to find number of nodes
// greater than x
#include <bits/stdc++.h>
using namespace std;

// Structure of a node of n-ary tree
struct Node {
int 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 to find nuber of nodes
// gretaer than x
int nodesGreaterThanX(Node* root, int x)
{
if (root == NULL)
return 0;

int count = 0;

// if current root is greater
// than x increment count
if (root->key > x)
count++;

// Number of children of root
int numChildren = root->child.size();

// recursively calling for every child
for (int i = 0; i < numChildren; i++) {
Node* child = root->child[i];
count += nodesGreaterThanX(child, x);
}

// return the count
return count;
}

// Driver program
int main()
{
/* Let us create below tree
*           5
*         / | \
*        1  2  3
*       /  / \  \
*     15  4   5  6
*/

Node* root = newNode(5);
(root->child).push_back(newNode(1));
(root->child).push_back(newNode(2));
(root->child).push_back(newNode(3));
(root->child[0]->child).push_back(newNode(15));
(root->child[1]->child).push_back(newNode(4));
(root->child[1]->child).push_back(newNode(5));
(root->child[2]->child).push_back(newNode(6));

int x = 5;

cout << "Number of nodes greater than "
<< x << " are ";
cout << nodesGreaterThanX(root, x)
<< endl;

return 0;
}
```

Output:

```Number of nodes greater than 5 are 2
```

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