K’th Largest element in Binary Search Tree
Here given code implementation process.
//C Program
//K’th Largest element in Binary Search Tree
#include<stdio.h>
#include<stdlib.h>
//structure of Binary Search Tree node
struct Node
{
int data;
struct Node *left,*right;
};
//Adding a new node in binary search tree
void add( struct Node **root, int data)
{
//Create a dynamic node of binary search tree
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; //Initially node left-pointer is NULL
new_node->right = NULL;//Initially node right-pointer is NULL
if(*root == NULL)
{
//When adds a first node in binary tree
*root = new_node;
}
else
{
struct Node *find = *root;
//iterate binary tree and add new node to proper position
while(find != NULL)
{
if(find -> data > data)
{
if(find->left==NULL)
{
find->left = new_node;
break;
}
else
{ //visit left sub-tree
find = find->left;
}
}
else
{
if(find->right == NULL)
{
find->right = new_node;
break;
}
else
{
//visit right sub-tree
find = find->right;
}
}
}
}
}else
{
printf("Memory Overflow\n");
exit(0); //Terminate program execution
}
}
//Find the kth largest node in binary tree
void find_kth_largest(struct Node*root, int *counter ,struct Node**element ,int k)
{
if(root!=NULL)
{
find_kth_largest(root->right,counter,element,k);
if(*counter == k)
{
return;
}
if(*element==NULL || (*element)->data > root->data)
{
//Modified counter variable by one
(*counter)++;
*element=root;
}
find_kth_largest(root->left,counter,element,k);
}
}
void kth_largest(struct Node*root,int k)
{
if(k <= 0)
{
//When given k is not valid positive values
printf("Invalid node position %d\n",k);
}
else if(root == NULL)
{
//When BST are no have elements
printf("Empty Binary Search Tree\n");
}
else
{
int counter = 0;
struct Node*element=NULL;
find_kth_largest(root, &counter, &element, k);
if(counter < k)
{
//If In case given kth Largest node are
//Not exist in binary search tree, then
printf("Given %d Largest node are not exist \n", k);
}
else
{
printf("[%d] largest node : %d \n",k,element->data );
}
}
}
int main(){
struct Node*root = NULL;
//Add nodes in binary search tree
/*
7
/ \
4 9
/ \ / \
3 5 8 10
\
8
*/
add(&root,7);
add(&root,4);
add(&root,3);
add(&root,5);
add(&root,9);
add(&root,8);
add(&root,10);
add(&root,8);
//Test case
kth_largest(root, 6);
kth_largest(root, 4);
kth_largest(root, 2);
kth_largest(root, 5);
return 0;
}
Output
[6] largest node : 4
[4] largest node : 7
[2] largest node : 9
[5] largest node : 5//C++ program
//K’th Largest element in Binary Search Tree
#include<iostream>
using namespace std;
class Node {
public:
int data;
Node *left;
Node *right;
Node(int value) {
this->data = value;
this->left = NULL;
this->right = NULL;
}
};
class BinarySearchTree {
public:
Node *root;
int counter;
Node *element;
//Class constructors
BinarySearchTree() {
this->counter = 0;
this->root = NULL;
this->element = NULL;
}
//insert a binary search tree element
void add(int value) {
//Create a dynamic node of binary search tree
Node *new_node = new Node(value);
if (new_node != NULL) {
if (this->root == NULL) {
//When adds a first node in binary tree
this->root = new_node;
} else {
Node *find = this->root;
//Add a new node to its proper position
while (find != NULL) {
if (find->data >= value) {
if (find->left == NULL) {
find->left = new_node;
return;
} else {
//visit left sub-tree
find = find->left;
}
} else {
if (find->right == NULL) {
find->right = new_node;
return;
} else {
//visit right sub-tree
find = find->right;
}
}
}
}
} else {
cout << "Memory Overflow";
}
}
//Find the kth largest node in BST
void find_kth_largest(Node *head, int k) {
if (head != NULL) {
this->find_kth_largest(head->right, k);
if (this->counter == k) {
return;
}
if (this->element == NULL ||
(this->element)->data > head->data) {
//Modified counter variable by one
(this->counter) ++;
this->element = head;
}
this->find_kth_largest(head->left, k);
}
}
void kth_largest(int k) {
if (k <= 0) {
cout << "Invalid node position " << k;
} else
if (this->root == NULL) {
cout << "Empty Binary Search Tree";
} else {
this->counter = 0;
this->element = NULL;
this->find_kth_largest(this->root, k);
if (this->counter < k) {
cout << "Given " << k << " Largest node are not exist " << this->counter<<endl;
} else {
cout << "[" << k << "] largest node : " << this->element->data<<endl;
}
}
}
};
int main() {
BinarySearchTree obj = BinarySearchTree();
//Add nodes in binary search tree
/*
7
/ \
4 9
/ \ / \
3 5 8 10
\
8
*/
obj.add(7);
obj.add(4);
obj.add(3);
obj.add(5);
obj.add(9);
obj.add(8);
obj.add(10);
obj.add(8);
//Test case
obj.kth_largest(6);
obj.kth_largest(4);
obj.kth_largest(2);
obj.kth_largest(5);
return 0;
}
Output
[6] largest node : 4
[4] largest node : 7
[2] largest node : 9
[5] largest node : 5//C# program
//K’th Largest element in Binary Search Tree
using System;
public class Node {
public int data;
public Node left;
public Node right;
public Node(int value) {
data = value;
left = null;
right = null;
}
}
public class BinarySearchTree {
private Node root;
private int counter;
private Node element;
//Class constructors
BinarySearchTree() {
counter = 0;
root = null;
element = null;
}
//insert a binary search tree element
public void add(int value) {
//Create a dynamic node of binary search tree
Node new_node = new Node(value);
if (new_node != null) {
if (root == null) {
//When adds a first node in binary tree
root = new_node;
} else {
Node find = root;
//Add a new node to its proper position
while (find != null) {
if (find.data >= value) {
if (find.left == null) {
find.left = new_node;
return;
} else {
//visit left sub-tree
find = find.left;
}
} else {
if (find.right == null) {
find.right = new_node;
return;
} else {
//visit right sub-tree
find = find.right;
}
}
}
}
} else {
Console.WriteLine("Memory Overflow");
}
}
//Find the kth largest node in BST
public void find_kth_largest(Node head, int k) {
if (head != null) {
find_kth_largest(head.right, k);
if (counter == k) {
return;
}
if (element == null ||
(element).data > head.data) {
//Modified counter variable by one
(counter) ++;
element = head;
}
find_kth_largest(head.left, k);
}
}
public void kth_largest(int k) {
if (k <= 0) {
Console.WriteLine("Invalid node position " + k);
} else
if (root == null) {
Console.WriteLine("Empty Binary Search Tree");
} else {
counter = 0;
element = null;
find_kth_largest(root, k);
if (counter < k) {
Console.Write("Given " + k + " Largest node are not exist " + counter + "\n");
} else {
Console.Write("[" + k + "] largest node : " + element.data + "\n");
}
}
}
public static void Main(String[] args) {
BinarySearchTree obj = new BinarySearchTree();
obj.add(7);
obj.add(4);
obj.add(3);
obj.add(5);
obj.add(9);
obj.add(8);
obj.add(10);
obj.add(8);
obj.kth_largest(6);
obj.kth_largest(4);
obj.kth_largest(2);
obj.kth_largest(5);
}
}
Output
[6] largest node : 4
[4] largest node : 7
[2] largest node : 9
[5] largest node : 5<?php
//Php program
//K’th Largest element in Binary Search Tree
class Node {
public $data;
public $left;
public $right;
function __construct($value) {
$this->data = $value;
$this->left = null;
$this->right = null;
}
}
class BinarySearchTree {
private $root;
private $counter;
private $element;
//Class constructors
function __construct() {
$this->counter = 0;
$this->root = null;
$this->element = null;
}
//insert a binary search tree element
public function add($value) {
//Create a dynamic node of binary search tree
$new_node = new Node($value);
if ($new_node != null) {
if ($this->root == null) {
//When adds a first node in binary tree
$this->root = $new_node;
} else {
$find = $this->root;
//Add a new node to its proper position
while ($find != null) {
if ($find->data >= $value) {
if ($find->left == null) {
$find->left = $new_node;
return;
} else {
//visit left sub-tree
$find = $find->left;
}
} else {
if ($find->right == null) {
$find->right = $new_node;
return;
} else {
//visit right sub-tree
$find = $find->right;
}
}
}
}
} else {
echo("Memory Overflow");
}
}
//Find the kth largest node in BST
public function find_kth_largest($head, $k) {
if ($head != null) {
$this->find_kth_largest($head->right, $k);
if ($this->counter == $k) {
return;
}
if ($this->element == null ||
$this->element->data > $head->data) {
//Modified counter variable by one
$this->counter ++;
$this->element = $head;
}
$this->find_kth_largest($head->left, $k);
}
}
public function kth_largest($k) {
if ($k <= 0) {
//When given k is not valid positive values
echo("Invalid node position ". $k);
} else
if ($this->root == null) {
//When Binary Search Tree are no elements
echo("Empty Binary Search Tree");
} else {
$this->counter = 0;
$this->element = null;
$this->find_kth_largest($this->root, $k);
if ($this->counter < $k) {
//If In case given kth Largest node are
//Not exist in binary search tree, then
echo("Given ". $k ." Largest node are not exist ". $this->counter ."\n");
} else {
echo("[". $k ."] largest node : ". $this->element->data ."\n");
}
}
}
}
function main() {
$obj = new BinarySearchTree();
//Add nodes in binary search tree
/*
7
/ \
4 9
/ \ / \
3 5 8 10
\
8
*/
$obj->add(7);
$obj->add(4);
$obj->add(3);
$obj->add(5);
$obj->add(9);
$obj->add(8);
$obj->add(10);
$obj->add(8);
//Test case
$obj->kth_largest(6);
$obj->kth_largest(4);
$obj->kth_largest(2);
$obj->kth_largest(5);
}
main();
Output
[6] largest node : 4
[4] largest node : 7
[2] largest node : 9
[5] largest node : 5//Node Js program
//K’th Largest element in Binary Search Tree
class Node {
constructor(value) {
this.data = value;
this.left = null;
this.right = null;
}
}
class BinarySearchTree {
//Class constructors
constructor() {
this.counter = 0;
this.root = null;
this.element = null;
}
//insert a binary search tree element
add(value) {
//Create a dynamic node of binary search tree
var new_node = new Node(value);
if (new_node != null) {
if (this.root == null) {
//When adds a first node in binary tree
this.root = new_node;
} else {
var find = this.root;
//Add a new node to its proper position
while (find != null) {
if (find.data >= value) {
if (find.left == null) {
find.left = new_node;
return;
} else {
//visit left sub-tree
find = find.left;
}
} else {
if (find.right == null) {
find.right = new_node;
return;
} else {
//visit right sub-tree
find = find.right;
}
}
}
}
} else {
process.stdout.write("Memory Overflow");
}
}
//Find the kth largest node in BST
find_kth_largest(head, k) {
if (head != null) {
this.find_kth_largest(head.right, k);
if (this.counter == k) {
return;
}
if (this.element == null ||
(this.element).data > head.data) {
//Modified counter variable by one
(this.counter) ++;
this.element = head;
}
this.find_kth_largest(head.left, k);
}
}
kth_largest(k) {
if (k <= 0) {
//When given k is not valid positive values
process.stdout.write("Invalid node position " + k);
} else
if (this.root == null) {
//When Binary Search Tree are no elements
process.stdout.write("Empty Binary Search Tree");
} else {
this.counter = 0;
this.element = null;
this.find_kth_largest(this.root, k);
if (this.counter < k) {
//If In case given kth Largest node are
//Not exist in binary search tree, then
process.stdout.write("Given " + k + " Largest node are not exist " + this.counter + "\n");
} else {
process.stdout.write("[" + k + "] largest node : " + this.element.data + "\n");
}
}
}
}
function main(args) {
var obj = new BinarySearchTree();
//Add nodes in binary search tree
/*
7
/ \
4 9
/ \ / \
3 5 8 10
\
8
*/
obj.add(7);
obj.add(4);
obj.add(3);
obj.add(5);
obj.add(9);
obj.add(8);
obj.add(10);
obj.add(8);
//Test case
obj.kth_largest(6);
obj.kth_largest(4);
obj.kth_largest(2);
obj.kth_largest(5);
}
main();
Output
[6] largest node : 4
[4] largest node : 7
[2] largest node : 9
[5] largest node : 5# Python 3 program
# K’th Largest element in Binary Search Tree
class Node :
def __init__(self, value) :
self.data = value
self.left = None
self.right = None
class BinarySearchTree :
# Class constructors
def __init__(self) :
self.counter = 0
self.root = None
self.element = None
# insert a binary search tree element
def add(self, value) :
# Create a dynamic node of binary search tree
new_node = Node(value)
if (new_node != None) :
if (self.root == None) :
# When adds a first node in binary tree
self.root = new_node
else :
find = self.root
# Add a new node to its proper position
while (find != None) :
if (find.data >= value) :
if (find.left == None) :
find.left = new_node
return
else :
# visit left sub-tree
find = find.left
else :
if (find.right == None) :
find.right = new_node
return
else :
# visit right sub-tree
find = find.right
else :
print("Memory Overflow", end = "")
# Find the kth largest node in BST
def find_kth_largest(self, head, k) :
if (head != None) :
self.find_kth_largest(head.right, k)
if (self.counter == k) :
return
if (self.element == None or(self.element).data > head.data) :
# Modified counter variable by one
self.counter += 1
self.element = head
self.find_kth_largest(head.left, k)
def kth_largest(self, k) :
if (k <= 0) :
# When given k is not valid positive values
print("Invalid node position ", k, end = "")
elif (self.root == None) :
# When Binary Search Tree are no elements
print("Empty Binary Search Tree", end = "")
else :
self.counter = 0
self.element = None
self.find_kth_largest(self.root, k)
if (self.counter < k) :
# If In case given kth Largest node are
# Not exist in binary search tree, then
print("Given ", k ," Largest node are not exist ", self.counter )
else :
print("[", k ,"] largest node : ", self.element.data)
def main() :
obj = BinarySearchTree()
# Add nodes in binary search tree
#
# 7
# / \
# 4 9
# / \ / \
# 3 5 8 10
# \
# 8
#
obj.add(7)
obj.add(4)
obj.add(3)
obj.add(5)
obj.add(9)
obj.add(8)
obj.add(10)
obj.add(8)
# Test case
obj.kth_largest(6)
obj.kth_largest(4)
obj.kth_largest(2)
obj.kth_largest(5)
if __name__ == "__main__":
main()
Output
[ 6 ] largest node : 4
[ 4 ] largest node : 7
[ 2 ] largest node : 9
[ 5 ] largest node : 5# Ruby program
# K’th Largest element in Binary Search Tree
class Node
# Define the accessor and reader of class Node
attr_reader :data, :left, :right
attr_accessor :data, :left, :right
def initialize(value)
@data = value
@left = nil
@right = nil
end
end
class BinarySearchTree
# Define the accessor and reader of class BinarySearchTree
attr_reader :root, :counter, :element
attr_accessor :root, :counter, :element
# Class constructors
def initialize()
@counter = 0
@root = nil
@element = nil
end
# insert a binary search tree element
def add(value)
# Create a dynamic node of binary search tree
new_node = Node.new(value)
if (new_node != nil)
if (@root == nil)
# When adds a first node in binary tree
@root = new_node
else
find = @root
# Add a new node to its proper position
while (find != nil)
if (find.data >= value)
if (find.left == nil)
find.left = new_node
return
else
# visit left sub-tree
find = find.left
end
else
if (find.right == nil)
find.right = new_node
return
else
# visit right sub-tree
find = find.right
end
end
end
end
else
print("Memory Overflow")
end
end
# Find the kth largest node in BST
def find_kth_largest(head, k)
if (head != nil)
self.find_kth_largest(head.right, k)
if (@counter == k)
return
end
if (@element == nil ||
(@element).data > head.data)
# Modified counter variable by one
@counter += 1
@element = head
end
self.find_kth_largest(head.left, k)
end
end
def kth_largest(k)
if (k <= 0)
# When given k is not valid positive values
print("Invalid node position ", k)
elsif (@root == nil)
# When Binary Search Tree are no elements
print("Empty Binary Search Tree")
else
@counter = 0
@element = nil
self.find_kth_largest(@root, k)
if (@counter < k)
# If In case given kth Largest node are
# Not exist in binary search tree, then
print("Given ", k ," Largest node are not exist ", @counter ,"\n")
else
print("[", k ,"] largest node : ", @element.data ,"\n")
end
end
end
end
def main()
obj = BinarySearchTree.new()
# Add nodes in binary search tree
#
# 7
# / \
# 4 9
# / \ / \
# 3 5 8 10
# \
# 8
#
obj.add(7)
obj.add(4)
obj.add(3)
obj.add(5)
obj.add(9)
obj.add(8)
obj.add(10)
obj.add(8)
# Test case
obj.kth_largest(6)
obj.kth_largest(4)
obj.kth_largest(2)
obj.kth_largest(5)
end
main()
Output
[6] largest node : 4
[4] largest node : 7
[2] largest node : 9
[5] largest node : 5
//Scala program
//K’th Largest element in Binary Search Tree
class Node(var data: Int,
var left: Node,
var right: Node) {
def this(value: Int) {
this(value,null,null);
}
}
class BinarySearchTree(var root: Node,
var counter: Int,
var element: Node) {
//Class constructors
def this() {
this(null,0,null);
}
//insert a binary search tree element
def add(value: Int): Unit = {
//Create a dynamic node of binary search tree
var new_node: Node = new Node(value);
if (new_node != null) {
if (root == null) {
//When adds a first node in binary tree
root = new_node;
} else {
var find: Node = root;
//Add a new node to its proper position
while (find != null) {
if (find.data >= value) {
if (find.left == null) {
find.left = new_node;
return;
} else {
//visit left sub-tree
find = find.left;
}
} else {
if (find.right == null) {
find.right = new_node;
return;
} else {
//visit right sub-tree
find = find.right;
}
}
}
}
} else {
print("Memory Overflow");
}
}
//Find the kth largest node in BST
def find_kth_largest(head: Node, k: Int): Unit = {
if (head != null) {
find_kth_largest(head.right, k);
if (counter == k) {
return;
}
if (element == null ||
(element).data > head.data) {
//Modified counter variable by one
(counter) += 1;
element = head;
}
find_kth_largest(head.left, k);
}
}
def kth_largest(k: Int): Unit = {
if (k <= 0) {
//When given k is not valid positive values
print("Invalid node position " + k);
} else
if (root == null) {
//When Binary Search Tree are no elements
print("Empty Binary Search Tree");
} else {
counter = 0;
element = null;
find_kth_largest(root, k);
if (counter < k) {
//If In case given kth Largest node are
//Not exist in binary search tree, then
print("Given " + k + " Largest node are not exist " + counter + "\n");
} else {
print("[" + k + "] largest node : " + element.data + "\n");
}
}
}
}
object Main {
def main(args: Array[String]): Unit = {
var obj: BinarySearchTree = new BinarySearchTree();
//Add nodes in binary search tree
/*
7
/ \
4 9
/ \ / \
3 5 8 10
\
8
*/
obj.add(7);
obj.add(4);
obj.add(3);
obj.add(5);
obj.add(9);
obj.add(8);
obj.add(10);
obj.add(8);
//Test case
obj.kth_largest(6);
obj.kth_largest(4);
obj.kth_largest(2);
obj.kth_largest(5);
}
}
Output
[6] largest node : 4
[4] largest node : 7
[2] largest node : 9
[5] largest node : 5//Swift program
//K’th Largest element in Binary Search Tree
class Node {
var data: Int;
var left: Node? ;
var right: Node? ;
init(_ value: Int) {
self.data = value;
self.left = nil;
self.right = nil;
}
}
class BinarySearchTree {
var root: Node? ;
var counter: Int;
var element: Node? ;
//Class constructors
init() {
self.counter = 0;
self.root = nil;
self.element = nil;
}
//insert a binary search tree element
func add(_ value: Int) {
//Create a dynamic node of binary search tree
let new_node: Node? = Node(value);
if (new_node != nil) {
if (self.root == nil) {
//When adds a first node in binary tree
self.root = new_node;
} else {
var find: Node? = self.root;
//Add a new node to its proper position
while (find != nil) {
if (find!.data >= value) {
if (find!.left == nil) {
find!.left = new_node;
return;
} else {
//visit left sub-tree
find = find!.left;
}
} else {
if (find!.right == nil) {
find!.right = new_node;
return;
} else {
//visit right sub-tree
find = find!.right;
}
}
}
}
} else {
print("Memory Overflow", terminator: "");
}
}
//Find the kth largest node in BST
func find_kth_largest(_ head: Node? , _ k : Int) {
if (head != nil) {
self.find_kth_largest(head!.right, k);
if (self.counter == k) {
return;
}
if (self.element == nil ||
self.element!.data > head!.data) {
//Modified counter variable by one
(self.counter) += 1;
self.element = head;
}
self.find_kth_largest(head!.left, k);
}
}
func kth_largest(_ k: Int) {
if (k <= 0) {
//When given k is not valid positive values
print("Invalid node position ", k, terminator: "");
} else
if (self.root == nil) {
//When Binary Search Tree are no elements
print("Empty Binary Search Tree", terminator: "");
} else {
self.counter = 0;
self.element = nil;
self.find_kth_largest(self.root, k);
if (self.counter < k) {
//If In case given kth Largest node are
//Not exist in binary search tree, then
print("Given ", k ," Largest node are not exist ", self.counter ,"\n", terminator: "");
} else {
print("[", k ,"] largest node : ", self.element!.data ,"\n", terminator: "");
}
}
}
}
func main() {
let obj: BinarySearchTree = BinarySearchTree();
//Add nodes in binary search tree
/*
7
/ \
4 9
/ \ / \
3 5 8 10
\
8
*/
obj.add(7);
obj.add(4);
obj.add(3);
obj.add(5);
obj.add(9);
obj.add(8);
obj.add(10);
obj.add(8);
//Test case
obj.kth_largest(6);
obj.kth_largest(4);
obj.kth_largest(2);
obj.kth_largest(5);
}
main();
Output
[ 6 ] largest node : 4
[ 4 ] largest node : 7
[ 2 ] largest node : 9
[ 5 ] largest node : 5//Java program
//K’th Largest element in Binary Search Tree
class Node {
public int data;
public Node left;
public Node right;
public Node(int value) {
data = value;
left = null;
right = null;
}
}
public class BinarySearchTree
{
private Node root;
private int counter;
private Node element;
//Class constructors
BinarySearchTree()
{
counter=0;
root=null;
element=null;
}
//insert a binary search tree element
public void add(int value)
{
//Create a dynamic node of binary search tree
Node new_node = new Node(value);
if(new_node != null)
{
if(root == null)
{
//When adds a first node in binary tree
root = new_node;
}
else
{
Node find = root;
//Add a new node to its proper position
while(find != null)
{
if(find.data >= value)
{
if(find.left==null)
{
find.left = new_node;
return;
}
else
{
//visit left sub-tree
find = find.left;
}
}
else
{
if(find.right == null)
{
find.right = new_node;
return;
}
else
{
//visit right sub-tree
find = find.right;
}
}
}
}
}
else
{
System.out.println("Memory Overflow");
}
}
//Find the kth largest node in BST
public void find_kth_largest( Node head ,int k)
{
if(head!=null)
{
find_kth_largest(head.right,k);
if( counter == k)
{
return;
}
if( element==null || ( element).data > head.data)
{
//Modified counter variable by one
( counter)++;
element=head;
}
find_kth_largest(head.left,k);
}
}
public void kth_largest(int k)
{
if(k <= 0)
{
//When given k is not valid positive values
System.out.println("Invalid node position "+ k);
}
else if(root == null)
{
//When Binary Search Tree are no elements
System.out.println("Empty Binary Search Tree");
}
else
{
counter = 0;
element=null;
find_kth_largest(root,k);
if(counter < k)
{
//If In case given kth Largest node are
//Not exist in binary search tree, then
System.out.print("Given "+ k +" Largest node are not exist "+counter+"\n");
}
else
{
System.out.print("["+ k +"] largest node : "+ element.data+"\n");
}
}
}
public static void main(String[] args)
{
BinarySearchTree obj = new BinarySearchTree();
//Add nodes in binary search tree
/*
7
/ \
4 9
/ \ / \
3 5 8 10
\
8
*/
obj.add(7);
obj.add(4);
obj.add(3);
obj.add(5);
obj.add(9);
obj.add(8);
obj.add(10);
obj.add(8);
//Test case
obj.kth_largest(6);
obj.kth_largest(4);
obj.kth_largest(2);
obj.kth_largest(5);
}
}
Output
[ 6 ] largest node : 4
[ 4 ] largest node : 7
[ 2 ] largest node : 9
[ 5 ] largest node : 5
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