Find the Sum of all full nodes in a Binary Tree
Here given code implementation process.
/*
C Program
Sum of all full nodes in a Binary Tree
*/
#include <stdio.h>
#include <stdlib.h>
//Binary Tree node
struct Node
{
int data;
struct Node *left, *right;
};
//This is creating a binary tree node and return this
struct Node *get_node(int data)
{
// Create dynamic node
struct Node *new_node = (struct Node *) malloc(sizeof(struct Node));
if (new_node != NULL)
{
//Set data and pointer values
new_node->data = data;
new_node->left = NULL;
new_node->right = NULL;
}
else
{
//This is indicates, segmentation fault or memory overflow problem
printf("Memory Overflow\n");
}
//return new node
return new_node;
}
//Display pre order elements
void preorder(struct Node *node)
{
if (node != NULL)
{
//Print node value
printf(" %d", node->data);
preorder(node->left);
preorder(node->right);
}
}
// Calculate sum of all full nodes in binary tree.
// All nodes which is containing both left and right child
int sum_full_nodes(struct Node *node)
{
int sum = 0;
if (node != NULL)
{
if (node->left != NULL && node->right != NULL)
{
sum = node->data;
}
// Calculate node sum
sum += sum_full_nodes(node->left) + sum_full_nodes(node->right);
}
return sum;
}
int main()
{
struct Node *root = NULL;
/*
constructor binary tree
-----------------------
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
*/
root = get_node(6);
root->left = get_node(7);
root->left->right = get_node(8);
root->left->right->right = get_node(1);
root->left->right->right->left = get_node(9);
root->left->right->left = get_node(1);
root->right = get_node(3);
root->right->left = get_node(2);
root->right->right = get_node(1);
root->right->right->right = get_node(5);
root->right->right->left = get_node(4);
//Display Tree Element
printf("\n Tree Nodes : ");
preorder(root);
/*
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
Full nodes [6,8,3,1]
[ Both left and right child exists ]
6
/ \
7 3
--------
8
/ \
1 1
-------
3
/ \
2 1
------
1
/ \
4 5
*/
//Display Calculated Result
printf("\n Full node sum is : %d \n", sum_full_nodes(root));
return 0;
}Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18/*
Java Program
Sum of all full nodes in a Binary Tree
*/
//Binary Tree node
class Node
{
public int data;
public Node left;
public Node right;
public Node(int data)
{
//set node value
this.data = data;
this.left = null;
this.right = null;
}
}
public class BinaryTree
{
public Node root;
public BinaryTree()
{
//Set initial tree root to null
this.root = null;
}
//Display pre order elements
public void preorder(Node node)
{
if (node != null)
{
//Print node value
System.out.print(" " + node.data);
preorder(node.left);
preorder(node.right);
}
}
// Calculate sum of all full nodes in binary tree.
// All nodes which is containing both left and right child
public int sum_full_nodes(Node node)
{
int sum = 0;
if (node != null)
{
if (node.left != null && node.right != null)
{
sum = node.data;
}
// Calculate node sum
sum += sum_full_nodes(node.left) + sum_full_nodes(node.right);
}
return sum;
}
public static void main(String[] args)
{
//Make object of binary tree
BinaryTree tree = new BinaryTree();
/*
constructor binary tree
-----------------------
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
*/
tree.root = new Node(6);
tree.root.left = new Node(7);
tree.root.left.right = new Node(8);
tree.root.left.right.right = new Node(1);
tree.root.left.right.right.left = new Node(9);
tree.root.left.right.left = new Node(1);
tree.root.right = new Node(3);
tree.root.right.left = new Node(2);
tree.root.right.right = new Node(1);
tree.root.right.right.right = new Node(5);
tree.root.right.right.left = new Node(4);
//Display Tree Element
System.out.print("\n Tree Nodes : ");
tree.preorder(tree.root);
/*
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
Full nodes [6,8,3,1]
[ Both left and right child exists ]
6
/ \
7 3
--------
8
/ \
1 1
-------
3
/ \
2 1
------
1
/ \
4 5
*/
//Display Calculated Result
System.out.print("\n Full node sum is : " + tree.sum_full_nodes(tree.root) + " \n");
}
}Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18// Include header file
#include <iostream>
using namespace std;
/*
C++ Program
Sum of all full nodes in a Binary Tree
*/
// Binary Tree node
class Node
{
public: int data;
Node *left;
Node *right;
Node(int data)
{
// set node value
this->data = data;
this->left = NULL;
this->right = NULL;
}
};
class BinaryTree
{
public: Node *root;
BinaryTree()
{
// Set initial tree root to null
this->root = NULL;
}
// Display pre order elements
void preorder(Node *node)
{
if (node != NULL)
{
// Print node value
cout << " " << node->data;
this->preorder(node->left);
this->preorder(node->right);
}
}
// Calculate sum of all full nodes in binary tree.
// All nodes which is containing both left and right child
int sum_full_nodes(Node *node)
{
int sum = 0;
if (node != NULL)
{
if (node->left != NULL && node->right != NULL)
{
sum = node->data;
}
// Calculate node sum
sum += this->sum_full_nodes(node->left) + this->sum_full_nodes(node->right);
}
return sum;
}
};
int main()
{
// Make object of binary tree
BinaryTree tree = BinaryTree();
/*
constructor binary tree
-----------------------
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
*/
tree.root = new Node(6);
tree.root->left = new Node(7);
tree.root->left->right = new Node(8);
tree.root->left->right->right = new Node(1);
tree.root->left->right->right->left = new Node(9);
tree.root->left->right->left = new Node(1);
tree.root->right = new Node(3);
tree.root->right->left = new Node(2);
tree.root->right->right = new Node(1);
tree.root->right->right->right = new Node(5);
tree.root->right->right->left = new Node(4);
// Display Tree Element
cout << "\n Tree Nodes : ";
tree.preorder(tree.root);
/*
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
Full nodes [6,8,3,1]
[ Both left and right child exists ]
6
/ \
7 3
--------
8
/ \
1 1
-------
3
/ \
2 1
------
1
/ \
4 5
*/
// Display Calculated Result
cout << "\n Full node sum is : " << tree.sum_full_nodes(tree.root) << " \n";
return 0;
}Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18//Include namespace system
using System;
/*
C# Program
Sum of all full nodes in a Binary Tree
*/
// Binary Tree node
public class Node
{
public int data;
public Node left;
public Node right;
public Node(int data)
{
// set node value
this.data = data;
this.left = null;
this.right = null;
}
}
public class BinaryTree
{
public Node root;
public BinaryTree()
{
// Set initial tree root to null
this.root = null;
}
// Display pre order elements
public void preorder(Node node)
{
if (node != null)
{
// Print node value
Console.Write(" " + node.data);
preorder(node.left);
preorder(node.right);
}
}
// Calculate sum of all full nodes in binary tree.
// All nodes which is containing both left and right child
public int sum_full_nodes(Node node)
{
int sum = 0;
if (node != null)
{
if (node.left != null && node.right != null)
{
sum = node.data;
}
// Calculate node sum
sum += sum_full_nodes(node.left) + sum_full_nodes(node.right);
}
return sum;
}
public static void Main(String[] args)
{
// Make object of binary tree
BinaryTree tree = new BinaryTree();
/*
constructor binary tree
-----------------------
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
*/
tree.root = new Node(6);
tree.root.left = new Node(7);
tree.root.left.right = new Node(8);
tree.root.left.right.right = new Node(1);
tree.root.left.right.right.left = new Node(9);
tree.root.left.right.left = new Node(1);
tree.root.right = new Node(3);
tree.root.right.left = new Node(2);
tree.root.right.right = new Node(1);
tree.root.right.right.right = new Node(5);
tree.root.right.right.left = new Node(4);
// Display Tree Element
Console.Write("\n Tree Nodes : ");
tree.preorder(tree.root);
/*
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
Full nodes [6,8,3,1]
[ Both left and right child exists ]
6
/ \
7 3
--------
8
/ \
1 1
-------
3
/ \
2 1
------
1
/ \
4 5
*/
// Display Calculated Result
Console.Write("\n Full node sum is : " + tree.sum_full_nodes(tree.root) + " \n");
}
}Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18<?php
/*
Php Program
Sum of all full nodes in a Binary Tree
*/
// Binary Tree node
class Node
{
public $data;
public $left;
public $right;
function __construct($data)
{
// set node value
$this->data = $data;
$this->left = null;
$this->right = null;
}
}
class BinaryTree
{
public $root;
function __construct()
{
// Set initial tree root to null
$this->root = null;
}
// Display pre order elements
public function preorder($node)
{
if ($node != null)
{
// Print node value
echo " ". $node->data;
$this->preorder($node->left);
$this->preorder($node->right);
}
}
// Calculate sum of all full nodes in binary tree.
// All nodes which is containing both left and right child
public function sum_full_nodes($node)
{
$sum = 0;
if ($node != null)
{
if ($node->left != null && $node->right != null)
{
$sum = $node->data;
}
// Calculate node sum
$sum += $this->sum_full_nodes($node->left) + $this->sum_full_nodes($node->right);
}
return $sum;
}
}
function main()
{
// Make object of binary tree
$tree = new BinaryTree();
/*
constructor binary tree
-----------------------
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
*/
$tree->root = new Node(6);
$tree->root->left = new Node(7);
$tree->root->left->right = new Node(8);
$tree->root->left->right->right = new Node(1);
$tree->root->left->right->right->left = new Node(9);
$tree->root->left->right->left = new Node(1);
$tree->root->right = new Node(3);
$tree->root->right->left = new Node(2);
$tree->root->right->right = new Node(1);
$tree->root->right->right->right = new Node(5);
$tree->root->right->right->left = new Node(4);
// Display Tree Element
echo "\n Tree Nodes : ";
$tree->preorder($tree->root);
/*
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
Full nodes [6,8,3,1]
[ Both left and right child exists ]
6
/ \
7 3
--------
8
/ \
1 1
-------
3
/ \
2 1
------
1
/ \
4 5
*/
// Display Calculated Result
echo "\n Full node sum is : ". $tree->sum_full_nodes($tree->root) ." \n";
}
main();Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18/*
Node Js Program
Sum of all full nodes in a Binary Tree
*/
// Binary Tree node
class Node
{
constructor(data)
{
// set node value
this.data = data;
this.left = null;
this.right = null;
}
}
class BinaryTree
{
constructor()
{
// Set initial tree root to null
this.root = null;
}
// Display pre order elements
preorder(node)
{
if (node != null)
{
// Print node value
process.stdout.write(" " + node.data);
this.preorder(node.left);
this.preorder(node.right);
}
}
// Calculate sum of all full nodes in binary tree.
// All nodes which is containing both left and right child
sum_full_nodes(node)
{
var sum = 0;
if (node != null)
{
if (node.left != null && node.right != null)
{
sum = node.data;
}
// Calculate node sum
sum += this.sum_full_nodes(node.left) + this.sum_full_nodes(node.right);
}
return sum;
}
}
function main()
{
// Make object of binary tree
var tree = new BinaryTree();
/*
constructor binary tree
-----------------------
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
*/
tree.root = new Node(6);
tree.root.left = new Node(7);
tree.root.left.right = new Node(8);
tree.root.left.right.right = new Node(1);
tree.root.left.right.right.left = new Node(9);
tree.root.left.right.left = new Node(1);
tree.root.right = new Node(3);
tree.root.right.left = new Node(2);
tree.root.right.right = new Node(1);
tree.root.right.right.right = new Node(5);
tree.root.right.right.left = new Node(4);
// Display Tree Element
process.stdout.write("\n Tree Nodes : ");
tree.preorder(tree.root);
/*
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
Full nodes [6,8,3,1]
[ Both left and right child exists ]
6
/ \
7 3
--------
8
/ \
1 1
-------
3
/ \
2 1
------
1
/ \
4 5
*/
// Display Calculated Result
process.stdout.write("\n Full node sum is : " + tree.sum_full_nodes(tree.root) + " \n");
}
main();Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18# Python 3 Program
# Sum of all full nodes in a Binary Tree
# Binary Tree node
class Node :
def __init__(self, data) :
# set node value
self.data = data
self.left = None
self.right = None
class BinaryTree :
def __init__(self) :
# Set initial tree root to null
self.root = None
# Display pre order elements
def preorder(self, node) :
if (node != None) :
# Print node value
print(" ", node.data, end = "")
self.preorder(node.left)
self.preorder(node.right)
# Calculate sum of all full nodes in binary tree.
# All nodes which is containing both left and right child
def sum_full_nodes(self, node) :
sum = 0
if (node != None) :
if (node.left != None and node.right != None) :
sum = node.data
# Calculate node sum
sum += self.sum_full_nodes(node.left) + self.sum_full_nodes(node.right)
return sum
def main() :
# Make object of binary tree
tree = BinaryTree()
#
# constructor binary tree
# -----------------------
# 6
# / \
# / \
# 7 3
# \ / \
# 8 2 1
# / \ / \
# 1 1 4 5
# /
# 9
# -----------------------
#
tree.root = Node(6)
tree.root.left = Node(7)
tree.root.left.right = Node(8)
tree.root.left.right.right = Node(1)
tree.root.left.right.right.left = Node(9)
tree.root.left.right.left = Node(1)
tree.root.right = Node(3)
tree.root.right.left = Node(2)
tree.root.right.right = Node(1)
tree.root.right.right.right = Node(5)
tree.root.right.right.left = Node(4)
# Display Tree Element
print("\n Tree Nodes : ", end = "")
tree.preorder(tree.root)
#
# 6
# / \
# / \
# 7 3
# \ / \
# 8 2 1
# / \ / \
# 1 1 4 5
# /
# 9
# -----------------------
# Full nodes [6,8,3,1]
# [ Both left and right child exists ]
#
# 6
# / \
# 7 3
# --------
# 8
# / \
# 1 1
# -------
# 3
# / \
# 2 1
# ------
# 1
# / \
# 4 5
#
# Display Calculated Result
print("\n Full node sum is : ", tree.sum_full_nodes(tree.root) ," \n", end = "")
if __name__ == "__main__": main()Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18# Ruby Program
# Sum of all full nodes in a Binary Tree
# Binary Tree node
class Node
# Define the accessor and reader of class Node
attr_reader :data, :left, :right
attr_accessor :data, :left, :right
def initialize(data)
# set node value
self.data = data
self.left = nil
self.right = nil
end
end
class BinaryTree
# Define the accessor and reader of class BinaryTree
attr_reader :root
attr_accessor :root
def initialize()
# Set initial tree root to null
self.root = nil
end
# Display pre order elements
def preorder(node)
if (node != nil)
# Print node value
print(" ", node.data)
self.preorder(node.left)
self.preorder(node.right)
end
end
# Calculate sum of all full nodes in binary tree.
# All nodes which is containing both left and right child
def sum_full_nodes(node)
sum = 0
if (node != nil)
if (node.left != nil && node.right != nil)
sum = node.data
end
# Calculate node sum
sum += self.sum_full_nodes(node.left) + self.sum_full_nodes(node.right)
end
return sum
end
end
def main()
# Make object of binary tree
tree = BinaryTree.new()
#
# constructor binary tree
# -----------------------
# 6
# / \
# / \
# 7 3
# \ / \
# 8 2 1
# / \ / \
# 1 1 4 5
# /
# 9
# -----------------------
#
tree.root = Node.new(6)
tree.root.left = Node.new(7)
tree.root.left.right = Node.new(8)
tree.root.left.right.right = Node.new(1)
tree.root.left.right.right.left = Node.new(9)
tree.root.left.right.left = Node.new(1)
tree.root.right = Node.new(3)
tree.root.right.left = Node.new(2)
tree.root.right.right = Node.new(1)
tree.root.right.right.right = Node.new(5)
tree.root.right.right.left = Node.new(4)
# Display Tree Element
print("\n Tree Nodes : ")
tree.preorder(tree.root)
#
# 6
# / \
# / \
# 7 3
# \ / \
# 8 2 1
# / \ / \
# 1 1 4 5
# /
# 9
# -----------------------
# Full nodes [6,8,3,1]
# [ Both left and right child exists ]
#
# 6
# / \
# 7 3
# --------
# 8
# / \
# 1 1
# -------
# 3
# / \
# 2 1
# ------
# 1
# / \
# 4 5
#
# Display Calculated Result
print("\n Full node sum is : ", tree.sum_full_nodes(tree.root) ," \n")
end
main()Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18
/*
Scala Program
Sum of all full nodes in a Binary Tree
*/
// Binary Tree node
class Node(var data: Int , var left: Node , var right: Node)
{
def this(data: Int)
{
this(data, null, null);
}
}
class BinaryTree(var root: Node)
{
def this()
{
this(null);
}
// Display pre order elements
def preorder(node: Node): Unit = {
if (node != null)
{
// Print node value
print(" " + node.data);
preorder(node.left);
preorder(node.right);
}
}
// Calculate sum of all full nodes in binary tree.
// All nodes which is containing both left and right child
def sum_full_nodes(node: Node): Int = {
var sum: Int = 0;
if (node != null)
{
if (node.left != null && node.right != null)
{
sum = node.data;
}
// Calculate node sum
sum += sum_full_nodes(node.left) + sum_full_nodes(node.right);
}
return sum;
}
}
object Main
{
def main(args: Array[String]): Unit = {
// Make object of binary tree
var tree: BinaryTree = new BinaryTree();
/*
constructor binary tree
-----------------------
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
*/
tree.root = new Node(6);
tree.root.left = new Node(7);
tree.root.left.right = new Node(8);
tree.root.left.right.right = new Node(1);
tree.root.left.right.right.left = new Node(9);
tree.root.left.right.left = new Node(1);
tree.root.right = new Node(3);
tree.root.right.left = new Node(2);
tree.root.right.right = new Node(1);
tree.root.right.right.right = new Node(5);
tree.root.right.right.left = new Node(4);
// Display Tree Element
print("\n Tree Nodes : ");
tree.preorder(tree.root);
/*
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
Full nodes [6,8,3,1]
[ Both left and right child exists ]
6
/ \
7 3
--------
8
/ \
1 1
-------
3
/ \
2 1
------
1
/ \
4 5
*/
// Display Calculated Result
print("\n Full node sum is : " + tree.sum_full_nodes(tree.root) + " \n");
}
}Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18/*
Swift 4 Program
Sum of all full nodes in a Binary Tree
*/
// Binary Tree node
class Node
{
var data: Int;
var left: Node? ;
var right: Node? ;
init(_ data: Int)
{
// set node value
self.data = data;
self.left = nil;
self.right = nil;
}
}
class BinaryTree
{
var root: Node? ;
init()
{
// Set initial tree root to null
self.root = nil;
}
// Display pre order elements
func preorder(_ node: Node? )
{
if (node != nil)
{
// Print node value
print(" ", node!.data, terminator: "");
self.preorder(node!.left);
self.preorder(node!.right);
}
}
// Calculate sum of all full nodes in binary tree.
// All nodes which is containing both left and right child
func sum_full_nodes(_ node: Node? )->Int
{
var sum: Int = 0;
if (node != nil)
{
if (node!.left != nil && node!.right != nil)
{
sum = node!.data;
}
// Calculate node sum
sum += self.sum_full_nodes(node!.left) + self.sum_full_nodes(node!.right);
}
return sum;
}
}
func main()
{
// Make object of binary tree
let tree: BinaryTree = BinaryTree();
/*
constructor binary tree
-----------------------
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
*/
tree.root = Node(6);
tree.root!.left = Node(7);
tree.root!.left!.right = Node(8);
tree.root!.left!.right!.right = Node(1);
tree.root!.left!.right!.right!.left = Node(9);
tree.root!.left!.right!.left = Node(1);
tree.root!.right = Node(3);
tree.root!.right!.left = Node(2);
tree.root!.right!.right = Node(1);
tree.root!.right!.right!.right = Node(5);
tree.root!.right!.right!.left = Node(4);
// Display Tree Element
print("\n Tree Nodes : ", terminator: "");
tree.preorder(tree.root);
/*
6
/ \
/ \
7 3
\ / \
8 2 1
/ \ / \
1 1 4 5
/
9
-----------------------
Full nodes [6,8,3,1][Both left and right child exists ]6
/ \
7 3
--------
8
/ \
1 1
-------
3
/ \
2 1
------
1
/ \
4 5
*/
// Display Calculated Result
print("\n Full node sum is : ", tree.sum_full_nodes(tree.root) ," \n", terminator: "");
}
main();Output
Tree Nodes : 6 7 8 1 1 9 3 2 1 4 5
Full node sum is : 18
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