Delete nodes which are greater than or equal to given value in BST

Here given code implementation process.
//C Program
//Delete nodes which are greater than or equal to given value in BST
#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
}
}
void swap_data(struct Node*root1,struct Node*root2)
{
int temp=root2->data;
root2->data=root1->data;
root1->data=temp;
}
struct Node* remove_node(struct Node*root,int key)
{
if(root != NULL)
{
root->right = remove_node(root->right,key);
root->left = remove_node(root->left,key);
struct Node*temp=NULL,*back=NULL;
if(root->data >= key)
{
if(root->left==NULL)
{
temp=root;
root=root->right;
}
else if(root->right==NULL)
{
temp=root;
root=root->left;
}
else
{
temp=root->left;
back=root;
while(temp->right!=NULL)
{
back=temp;
temp=temp->right;
}
if(root->left==temp)
{
swap_data(root,temp);
root->left=temp->left;
}
else{
swap_data(root,temp);
back->right=temp->left;
}
}
if(temp!=NULL)
{
free(temp);
temp=NULL;
}
}
}
return root;
}
struct Node* delete_node(struct Node*root,int key)
{
if(root!=NULL)
{
root=remove_node(root,key);
}
else
{
printf("\n Empty BST\n");
}
printf("\n");
return root;
}
void inorder(struct Node*root)
{
if(root!=NULL)
{
inorder(root->left);
printf("%3d ",root->data );
inorder(root->right);
}
}
int main(){
struct Node*root = NULL;
//Add nodes in binary search tree
/*
5
/ \
/ \
3 19
/ \ / \
2 4 8 31
/ / \ /
1 7 15 25
*/
add(&root,5);
add(&root,3);
add(&root,19);
add(&root,2);
add(&root,4);
add(&root,8);
add(&root,31);
add(&root,1);
add(&root,7);
add(&root,25);
add(&root,15);
inorder(root);
root=delete_node(root,8);
/*
After delete nodes
-----------------
5
/ \
/ \
3 7
/ \
2 4
/
1
*/
inorder(root);
return 0;
}
Output
1 2 3 4 5 7 8 15 19 25 31
1 2 3 4 5 7
/*
C++ Program
Delete nodes which are greater than or equal to given value in BST
*/
#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;
BinarySearchTree() {
this->root = NULL;
}
void add(int value) {
Node *new_node = new Node(value);
if (new_node != NULL) {
if (this->root == NULL) {
this->root = new_node;
} else {
Node *find = this->root;
while (find != NULL) {
if (find->data >= value) {
if (find->left == NULL) {
find->left = new_node;
break;
} else {
find = find->left;
}
} else {
if (find->right == NULL) {
find->right = new_node;
break;
} else {
find = find->right;
}
}
}
}
} else {
cout << "\nMemory Overflow\n";
}
}
void inorder(Node *head) {
if (head != NULL) {
this->inorder(head->left);
cout << head->data << " ";
this->inorder(head->right);
}
}
void swap_data(Node *root1, Node *root2) {
int temp = root2->data;
root2->data = root1->data;
root1->data = temp;
}
Node *remove_node(Node *head, int key) {
if (head != NULL) {
head->right = this->remove_node(head->right, key);
head->left = this->remove_node(head->left, key);
Node *temp = NULL, *back = NULL;
if (head->data >= key) {
if (head->left == NULL) {
temp = head;
head = head->right;
} else
if (head->right == NULL) {
temp = head;
head = head->left;
} else {
temp = head->left;
back = head;
while (temp->right != NULL) {
back = temp;
temp = temp->right;
}
if (head->left == temp) {
this->swap_data(head, temp);
head->left = temp->left;
} else {
this->swap_data(head, temp);
back->right = temp->left;
}
}
temp = NULL;
}
}
return head;
}
void delete_keys(int key) {
if (this->root != NULL) {
this->root = this->remove_node(this->root, key);
} else {
cout << "\n Empty BST\n";
}
cout << "\n";
}
};
int main() {
BinarySearchTree obj ;
/*
5
/ \
/ \
3 19
/ \ / \
2 4 8 31
/ / \ /
1 7 15 25
*/
obj.add(5);
obj.add(3);
obj.add(19);
obj.add(2);
obj.add(4);
obj.add(8);
obj.add(31);
obj.add(1);
obj.add(7);
obj.add(25);
obj.add(15);
obj.inorder(obj.root);
obj.delete_keys(8);
/*
After delete nodes
-----------------
5
/ \
/ \
3 7
/ \
2 4
/
1
*/
obj.inorder(obj.root);
return 0;
}
Output
1 2 3 4 5 7 8 15 19 25 31
1 2 3 4 5 7
//Java program
//Delete nodes which are greater than or equal to given value in BST
//BST node
class Node {
public int data;
public Node left;
public Node right;
public Node(int value) {
data = value;
left = null;
right = null;
}
}
public class BinarySearchTree {
public Node root;
public BinarySearchTree() {
root = null;
}
//insert a node in BST
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 new node to proper position
while (find != null) {
if (find.data >= value) {
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 {
System.out.print("\nMemory Overflow\n");
}
}
public void inorder(Node head) {
if (head != null) {
inorder(head.left);
System.out.print(head.data + " ");
inorder(head.right);
}
}
public void swap_data(Node root1, Node root2) {
int temp = root2.data;
root2.data = root1.data;
root1.data = temp;
}
public Node remove_node(Node head,int key)
{
if(head != null)
{
head.right = remove_node(head.right,key);
head.left = remove_node(head.left,key);
Node temp=null, back=null;
if(head.data >= key)
{
if(head.left==null)
{
temp=head;
head=head.right;
}
else if(head.right==null)
{
temp=head;
head=head.left;
}
else
{
temp=head.left;
back=head;
while(temp.right!=null)
{
back=temp;
temp=temp.right;
}
if(head.left==temp)
{
swap_data(head,temp);
head.left=temp.left;
}
else{
swap_data(head,temp);
back.right=temp.left;
}
}
temp=null;
}
}
return head;
}
public void delete_keys(int key) {
if (root != null) {
root = remove_node(root, key);
} else {
System.out.print("\n Empty BST\n");
}
System.out.print("\n");
}
public static void main(String[] args) {
BinarySearchTree obj = new BinarySearchTree();
//Add nodes in binary search tree
/*
5
/ \
/ \
3 19
/ \ / \
2 4 8 31
/ / \ /
1 7 15 25
*/
obj.add(5);
obj.add(3);
obj.add(19);
obj.add(2);
obj.add(4);
obj.add(8);
obj.add(31);
obj.add(1);
obj.add(7);
obj.add(25);
obj.add(15);
obj.inorder(obj.root);
obj.delete_keys(8);
/*
After delete nodes
-----------------
5
/ \
/ \
3 7
/ \
2 4
/
1
*/
obj.inorder(obj.root);
}
}
Output
1 2 3 4 5 7 8 15 19 25 31
1 2 3 4 5 7
//C# program
//Delete nodes which are greater than or equal to given value in BST
using System;
//BST node
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 {
public Node root;
public BinarySearchTree() {
root = null;
}
//insert a node in BST
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 new node to proper position
while (find != null) {
if (find.data >= value) {
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 {
Console.Write("\nMemory Overflow\n");
}
}
public void inorder(Node head) {
if (head != null) {
inorder(head.left);
Console.Write(head.data + " ");
inorder(head.right);
}
}
public void swap_data(Node root1, Node root2) {
int temp = root2.data;
root2.data = root1.data;
root1.data = temp;
}
public Node remove_node(Node head,int key)
{
if(head != null)
{
head.right = remove_node(head.right,key);
head.left = remove_node(head.left,key);
Node temp=null, back=null;
if(head.data >= key)
{
if(head.left==null)
{
temp=head;
head=head.right;
}
else if(head.right==null)
{
temp=head;
head=head.left;
}
else
{
temp=head.left;
back=head;
while(temp.right!=null)
{
back=temp;
temp=temp.right;
}
if(head.left==temp)
{
swap_data(head,temp);
head.left=temp.left;
}
else{
swap_data(head,temp);
back.right=temp.left;
}
}
temp=null;
}
}
return head;
}
public void delete_keys(int key) {
if (root != null) {
root = remove_node(root, key);
} else {
Console.Write("\n Empty BST\n");
}
Console.Write("\n");
}
public static void Main(String[] args) {
BinarySearchTree obj = new BinarySearchTree();
//Add nodes in binary search tree
/*
5
/ \
/ \
3 19
/ \ / \
2 4 8 31
/ / \ /
1 7 15 25
*/
obj.add(5);
obj.add(3);
obj.add(19);
obj.add(2);
obj.add(4);
obj.add(8);
obj.add(31);
obj.add(1);
obj.add(7);
obj.add(25);
obj.add(15);
obj.inorder(obj.root);
obj.delete_keys(8);
/*
After delete nodes
-----------------
5
/ \
/ \
3 7
/ \
2 4
/
1
*/
obj.inorder(obj.root);
}
}
Output
1 2 3 4 5 7 8 15 19 25 31
1 2 3 4 5 7
# Python 3 Program
# Delete nodes which are greater than or equal to given value in BST
class Node :
def __init__(self, value) :
self.data = value
self.left = None
self.right = None
class BinarySearchTree :
def __init__(self) :
self.root = None
def add(self, value) :
new_node = Node(value)
if (new_node != None) :
if (self.root == None) :
self.root = new_node
else :
find = self.root
while (find != None) :
if (find.data >= value) :
if (find.left == None) :
find.left = new_node
break
else :
find = find.left
else :
if (find.right == None) :
find.right = new_node
break
else :
find = find.right
else :
print("\nMemory Overflow\n")
def inorder(self, head) :
if (head != None) :
self.inorder(head.left)
print(head.data ,end=" ")
self.inorder(head.right)
def swap_data(self, root1, root2) :
temp = root2.data
root2.data = root1.data
root1.data = temp
def remove_node(self, head, key) :
if (head != None) :
head.right = self.remove_node(head.right, key)
head.left = self.remove_node(head.left, key)
temp = None
back = None
if (head.data >= key) :
if (head.left == None) :
temp = head
head = head.right
elif (head.right == None) :
temp = head
head = head.left
else :
temp = head.left
back = head
while (temp.right != None) :
back = temp
temp = temp.right
if (head.left == temp) :
self.swap_data(head, temp)
head.left = temp.left
else :
self.swap_data(head, temp)
back.right = temp.left
temp = None
return head
def delete_keys(self, key) :
if (self.root != None) :
self.root = self.remove_node(self.root, key)
else :
print("\n Empty BST\n")
print()
def main() :
obj = BinarySearchTree()
#
# 5
# / \
# / \
# 3 19
# / \ / \
# 2 4 8 31
# / / \ /
# 1 7 15 25
#
obj.add(5)
obj.add(3)
obj.add(19)
obj.add(2)
obj.add(4)
obj.add(8)
obj.add(31)
obj.add(1)
obj.add(7)
obj.add(25)
obj.add(15)
obj.inorder(obj.root)
obj.delete_keys(8)
# After delete nodes
# 5
# / \
# / \
# 3 7
# / \
# 2 4
# /
# 1
#
obj.inorder(obj.root)
if __name__ == "__main__":
main()
Output
1 2 3 4 5 7 8 15 19 25 31
1 2 3 4 5 7
# Ruby Program
# Delete nodes which are greater than or equal to given value in BST
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
attr_reader :root
attr_accessor :root
def initialize()
@root = nil
end
def add(value)
new_node = Node.new(value)
if (new_node != nil)
if (@root == nil)
@root = new_node
else
find = @root
while (find != nil)
if (find.data >= value)
if (find.left == nil)
find.left = new_node
break
else
find = find.left
end
else
if (find.right == nil)
find.right = new_node
break
else
find = find.right
end
end
end
end
else
print("\nMemory Overflow\n")
end
end
def inorder(head)
if (head != nil)
self.inorder(head.left)
print(head.data ," ")
self.inorder(head.right)
end
end
def swap_data(root1, root2)
temp = root2.data
root2.data = root1.data
root1.data = temp
end
def remove_node(head, key)
if (head != nil)
head.right = self.remove_node(head.right, key)
head.left = self.remove_node(head.left, key)
temp = nil
back = nil
if (head.data >= key)
if (head.left == nil)
temp = head
head = head.right
elsif (head.right == nil)
temp = head
head = head.left
else
temp = head.left
back = head
while (temp.right != nil)
back = temp
temp = temp.right
end
if (head.left == temp)
self.swap_data(head, temp)
head.left = temp.left
else
self.swap_data(head, temp)
back.right = temp.left
end
end
temp = nil
end
end
return head
end
def delete_keys(key)
if (@root != nil)
@root = self.remove_node(@root, key)
else
print("\n Empty BST\n")
end
print("\n")
end
end
def main()
obj = BinarySearchTree.new()
#
# 5
# / \
# / \
# 3 19
# / \ / \
# 2 4 8 31
# / / \ /
# 1 7 15 25
#
obj.add(5)
obj.add(3)
obj.add(19)
obj.add(2)
obj.add(4)
obj.add(8)
obj.add(31)
obj.add(1)
obj.add(7)
obj.add(25)
obj.add(15)
obj.inorder(obj.root)
obj.delete_keys(8)
# After delete nodes
# 5
# / \
# / \
# 3 7
# / \
# 2 4
# /
# 1
#
obj.inorder(obj.root)
end
main()
Output
1 2 3 4 5 7 8 15 19 25 31
1 2 3 4 5 7
<?php
/*
Php Program
Delete nodes which are greater than or equal to given value in BST
*/
class Node {
public $data;
public $left;
public $right;
function __construct($value) {
$this->data = $value;
$this->left = null;
$this->right = null;
}
}
class BinarySearchTree {
public $root;
function __construct() {
$this->root = null;
}
public function add($value) {
$new_node = new Node($value);
if ($new_node != null) {
if ($this->root == null) {
$this->root = $new_node;
} else {
$find = $this->root;
while ($find != null) {
if ($find->data >= $value) {
if ($find->left == null) {
$find->left = $new_node;
break;;
} else {
$find = $find->left;
}
} else {
if ($find->right == null) {
$find->right = $new_node;
break;;
} else {
$find = $find->right;
}
}
}
}
} else {
echo("\nMemory Overflow\n");
}
}
public function inorder($head) {
if ($head != null) {
$this->inorder($head->left);
echo($head->data ." ");
$this->inorder($head->right);
}
}
public function swap_data($root1, $root2) {
$temp = $root2->data;
$root2->data = $root1->data;
$root1->data = $temp;
}
public function remove_node($head, $key) {
if ($head != null) {
$head->right = $this->remove_node($head->right, $key);
$head->left = $this->remove_node($head->left, $key);
$temp = null;
$back = null;
if ($head->data >= $key) {
if ($head->left == null) {
$temp = $head;
$head = $head->right;
} else
if ($head->right == null) {
$temp = $head;
$head = $head->left;
} else {
$temp = $head->left;
$back = $head;
while ($temp->right != null) {
$back = $temp;
$temp = $temp->right;
}
if ($head->left == $temp) {
$this->swap_data($head, $temp);
$head->left = $temp->left;
} else {
$this->swap_data($head, $temp);
$back->right = $temp->left;
}
}
$temp = null;
}
}
return $head;
}
public function delete_keys($key) {
if ($this->root != null) {
$this->root = $this->remove_node($this->root, $key);
} else {
echo("\n Empty BST\n");
}
echo("\n");
}
}
function main() {
$obj = new BinarySearchTree();
/*
5
/ \
/ \
3 19
/ \ / \
2 4 8 31
/ / \ /
1 7 15 25
*/
$obj->add(5);
$obj->add(3);
$obj->add(19);
$obj->add(2);
$obj->add(4);
$obj->add(8);
$obj->add(31);
$obj->add(1);
$obj->add(7);
$obj->add(25);
$obj->add(15);
$obj->inorder($obj->root);
$obj->delete_keys(8);
/*
After delete nodes
-----------------
5
/ \
/ \
3 7
/ \
2 4
/
1
*/
$obj->inorder($obj->root);
}
main();
Output
1 2 3 4 5 7 8 15 19 25 31
1 2 3 4 5 7
/*
Node Js Program
Delete nodes which are greater than or equal to given value in BST
*/
class Node {
constructor(value) {
this.data = value;
this.left = null;
this.right = null;
}
}
class BinarySearchTree {
constructor() {
this.root = null;
}
add(value) {
var new_node = new Node(value);
if (new_node != null) {
if (this.root == null) {
this.root = new_node;
} else {
var find = this.root;
while (find != null) {
if (find.data >= value) {
if (find.left == null) {
find.left = new_node;
break;;
} else {
find = find.left;
}
} else {
if (find.right == null) {
find.right = new_node;
break;;
} else {
find = find.right;
}
}
}
}
} else {
process.stdout.write("\nMemory Overflow\n");
}
}
inorder(head) {
if (head != null) {
this.inorder(head.left);
process.stdout.write(head.data + " ");
this.inorder(head.right);
}
}
swap_data(root1, root2) {
var temp = root2.data;
root2.data = root1.data;
root1.data = temp;
}
remove_node(head, key) {
if (head != null) {
head.right = this.remove_node(head.right, key);
head.left = this.remove_node(head.left, key);
var temp = null;
var back = null;
if (head.data >= key) {
if (head.left == null) {
temp = head;
head = head.right;
} else
if (head.right == null) {
temp = head;
head = head.left;
} else {
temp = head.left;
back = head;
while (temp.right != null) {
back = temp;
temp = temp.right;
}
if (head.left == temp) {
this.swap_data(head, temp);
head.left = temp.left;
} else {
this.swap_data(head, temp);
back.right = temp.left;
}
}
temp = null;
}
}
return head;
}
delete_keys(key) {
if (this.root != null) {
this.root = this.remove_node(this.root, key);
} else {
process.stdout.write("\n Empty BST\n");
}
process.stdout.write("\n");
}
}
function main() {
var obj = new BinarySearchTree();
/*
5
/ \
/ \
3 19
/ \ / \
2 4 8 31
/ / \ /
1 7 15 25
*/
obj.add(5);
obj.add(3);
obj.add(19);
obj.add(2);
obj.add(4);
obj.add(8);
obj.add(31);
obj.add(1);
obj.add(7);
obj.add(25);
obj.add(15);
obj.inorder(obj.root);
obj.delete_keys(8);
/*
After delete nodes
-----------------
5
/ \
/ \
3 7
/ \
2 4
/
1
*/
obj.inorder(obj.root);
}
main();
Output
1 2 3 4 5 7 8 15 19 25 31
1 2 3 4 5 7
/*
Swift 4 Program
Delete nodes which are greater than or equal to given value in BST
*/
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? ;
init() {
self.root = nil;
}
func add(_ value: Int) {
let new_node: Node? = Node(value);
if (new_node != nil) {
if (self.root == nil) {
self.root = new_node;
} else {
var find: Node? = self.root;
while (find != nil) {
if (find!.data >= value) {
if (find!.left == nil) {
find!.left = new_node;
break;
} else {
find = find!.left;
}
} else {
if (find!.right == nil) {
find!.right = new_node;
break;
} else {
find = find!.right;
}
}
}
}
} else {
print("\nMemory Overflow\n");
}
}
func inorder(_ head: Node? ) {
if (head != nil) {
self.inorder(head!.left);
print(head!.data, terminator:" ");
self.inorder(head!.right);
}
}
func swap_data(_ root1: Node? , _ root2 : Node? ) {
let temp: Int = root2!.data;
root2!.data = root1!.data;
root1!.data = temp;
}
func remove_node(_ element: Node? , _ key : Int) -> Node? {
var head: Node? = element;
if (head != nil) {
head!.right = self.remove_node(head!.right, key);
head!.left = self.remove_node(head!.left, key);
var temp: Node? = nil;
var back: Node? = nil;
if (head!.data >= key) {
if (head!.left == nil) {
temp = head;
head = head!.right;
} else
if (head!.right == nil) {
temp = head;
head = head!.left;
} else {
temp = head!.left;
back = head;
while (temp!.right != nil) {
back = temp;
temp = temp!.right;
}
if (head!.left === temp) {
self.swap_data(head, temp);
head!.left = temp!.left;
} else {
self.swap_data(head, temp);
back!.right = temp!.left;
}
}
temp = nil;
}
}
return head;
}
func delete_keys(_ key: Int) {
if (self.root != nil) {
self.root = self.remove_node(self.root, key);
} else {
print("\n Empty BST\n");
}
print();
}
}
func main() {
let obj: BinarySearchTree = BinarySearchTree();
/*
5
/ \
/ \
3 19
/ \ / \
2 4 8 31
/ / \ /
1 7 15 25
*/
obj.add(5);
obj.add(3);
obj.add(19);
obj.add(2);
obj.add(4);
obj.add(8);
obj.add(31);
obj.add(1);
obj.add(7);
obj.add(25);
obj.add(15);
obj.inorder(obj.root);
obj.delete_keys(8);
/*
After delete nodes
-----------------
5
/ \
/ \
3 7
/ \
2 4
/
1
*/
obj.inorder(obj.root);
}
main();
Output
1 2 3 4 5 7 8 15 19 25 31
1 2 3 4 5 7
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