Product of all nodes in a Binary Tree

Given a Binary Tree. The task is to write a program to find the product of all of the nodes of the given binary tree.

In the above binary tree,
Product = 15*10*20*812*16*25 = 974400000



The idea is to recursively:

  • Find product of left subtree.
  • Find product of right subtree.
  • Mutiply the product of left and right subtrees with current node’s data and return.

Below is the implementation of the above approach:

C++

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// Program to print product of all
// the nodes of a binary tree
#include <iostream>
using namespace std;
  
// Binary Tree Node
struct Node {
    int key;
    Node *left, *right;
};
  
/* utility that allocates a new Node 
   with the given key */
Node* newNode(int key)
{
    Node* node = new Node;
    node->key = key;
    node->left = node->right = NULL;
    return (node);
}
  
// Function to find product of
// all the nodes
int productBT(Node* root)
{
    if (root == NULL)
        return 1;
  
    return (root->key * productBT(root->left) * productBT(root->right));
}
  
// Driver Code
int main()
{
    // Binary Tree is:
    //       1
    //      /  \
    //     2    3
    //    / \  / \
    //   4   5 6  7
    //          \
    //           8
    Node* root = newNode(1);
    root->left = newNode(2);
    root->right = newNode(3);
    root->left->left = newNode(4);
    root->left->right = newNode(5);
    root->right->left = newNode(6);
    root->right->right = newNode(7);
    root->right->left->right = newNode(8);
  
    int prod = productBT(root);
  
    cout << "Product of all the nodes is: "
         << prod << endl;
  
    return 0;
}

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Java














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// Java Program to print product of all 


// the nodes of a binary tree  


import java.util.*; 


class solution 


{ 


  


// Binary Tree Node 


static class Node { 


    int key; 


    Node left, right; 


}; 


  


/* utility that allocates a new Node  


   with the given key */


static Node newNode(int key) 


{ 


    Node node = new Node(); 


    node.key = key; 


    node.left = node.right = null; 


    return (node); 


} 


  


// Function to find product of 


// all the nodes 


static int productBT(Node root) 


{ 


    if (root == null) 


        return 1; 


  


    return (root.key * productBT(root.left) * productBT(root.right)); 


} 


  


// Driver Code 


public static void main(String args[]) 


{ 


    // Binary Tree is: 


    //       1 


    //      /  \ 


    //     2    3 


    //    / \  / \ 


    //   4   5 6  7 


    //          \ 


    //           8 


    Node root = newNode(1); 


    root.left = newNode(2); 


    root.right = newNode(3); 


    root.left.left = newNode(4); 


    root.left.right = newNode(5); 


    root.right.left = newNode(6); 


    root.right.right = newNode(7); 


    root.right.left.right = newNode(8); 


  


    int prod = productBT(root); 


  


    System.out.println( "Product of all the nodes is: "+prod); 


  


} 


} 


//contributed by Arnab Kundu 



















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Python3














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# Python3 Program to print product of  


# all the nodes of a binary tree  


  


# Binary Tree Node  


  


""" utility that allocates a new Node  


with the given key """


class newNode:  


  


    # Construct to create a new node  


    def __init__(self, key):  


        self.key = key 


        self.left = None


        self.right = None


          


# Function to find product of  


# all the nodes  


def productBT( root) : 


  


    if (root == None): 


        return 1


  


    return (root.key * productBT(root.left) * 


                       productBT(root.right))  


  


# Driver Code  


if __name__ == '__main__': 


      


    # Binary Tree is:  


    #     1  


    #     / \  


    #     2 3  


    # / \ / \  


    # 4 5 6 7  


    #         \  


    #         8  


    root = newNode(1)  


    root.left = newNode(2)  


    root.right = newNode(3)  


    root.left.left = newNode(4)  


    root.left.right = newNode(5)  


    root.right.left = newNode(6)  


    root.right.right = newNode(7)  


    root.right.left.right = newNode(8)  


  


    prod = productBT(root)  


  


    print("Product of all the nodes is:", prod) 


      


# This code is contributed by 


# Shubham Singh(SHUBHAMSINGH10) 



















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C#














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// C# Program to print product of all 


// the nodes of a binary tree  


using System; 


  


class GFG 


{ 


  


    // Binary Tree Node 


    class Node 


    { 


        public int key; 


        public Node left, right; 


    }; 


  


    /* utility that allocates a new Node  


    with the given key */


    static Node newNode(int key) 


    { 


        Node node = new Node(); 


        node.key = key; 


        node.left = node.right = null; 


        return (node); 


    } 


  


    // Function to find product of 


    // all the nodes 


    static int productBT(Node root) 


    { 


        if (root == null) 


            return 1; 


  


        return (root.key * productBT(root.left) * 


                        productBT(root.right)); 


    } 


  


    // Driver Code 


    public static void Main() 


    { 


        // Binary Tree is: 


        //     1 


        //     / \ 


        //     2 3 


        // / \ / \ 


        // 4 5 6 7 


        //         \ 


        //         8 


        Node root = newNode(1); 


        root.left = newNode(2); 


        root.right = newNode(3); 


        root.left.left = newNode(4); 


        root.left.right = newNode(5); 


        root.right.left = newNode(6); 


        root.right.right = newNode(7); 


        root.right.left.right = newNode(8); 


  


        int prod = productBT(root); 


  


        Console.WriteLine( "Product of all " + 


                        "the nodes is: " + prod); 


    } 


} 


  


/* This code is contributed PrinciRaj1992 */



















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Output:


Product of all the nodes is: 40320


Time complexity : O(n)



          
          
          

          

    

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