Find all pair with given sum in BST
Here given code implementation process.
//C Program
//Find all pair with given sum 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
}
}
int counter(struct Node *root) {
if (root != NULL) {
return counter(root->left) + counter(root->right) + 1;
}
return 0;
}
void get_elements(struct Node *root, int *auxiliary, int *index) {
if (root != NULL) {
get_elements(root->left, auxiliary, index);
auxiliary[ *index] += root->data;
( *index) ++;
get_elements(root->right, auxiliary, index);
}
}
void pair_sum(struct Node *root, int sum) {
if (root != NULL) {
int size = counter(root);
int *auxiliary = (int *) calloc(size, sizeof(int));
int index = 0;
get_elements(root, auxiliary, & index);
index = 0;
size--;
int status = 0;
while (index < size) {
if (auxiliary[index] + auxiliary[size] == sum) {
status = 1;
break;
} else if (auxiliary[index] + auxiliary[size] > sum) {
size--;
} else {
index++;
}
}
if (status != 1) {
printf("\nPair of Sum %d are not exist \n", sum);
} else {
printf("\n Pair of Sum : %d\n", sum);
while (index <= size) {
for (int i = index + 1; i <= size; ++i) {
if (auxiliary[index] + auxiliary[i] == sum) {
printf("(%d,%d) ", auxiliary[index], auxiliary[i]);
}
}
index++;
}
}
free(auxiliary);
auxiliary = NULL;
}
printf("\n");
}
int main() {
struct Node *root = NULL;
//Add nodes in binary search tree
/*
5
/ \
3 9
/ \ / \
1 4 8 11
/ \ / \
-3 2 7 12
*/
add( & root, 5);
add( & root, 3);
add( & root, 9);
add( & root, 1);
add( & root, 4);
add( & root, 8);
add( & root, 11);
add( & root, -3);
add( & root, 2);
add( & root, 7);
add( & root, 12);
pair_sum(root, 16);
pair_sum(root, 6);
return 0;
}
Output
Pair of Sum : 16
(4,12) (5,11) (7,9)
Pair of Sum : 6
(-3,9) (1,5) (2,4)
/*
C++ Program
Convert a binary tree to Max Heap
*/
#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;
BinarySearchTree() {
this->root = NULL;
this->counter = 0;
}
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");
}
}
int counter_nodes(Node *head) {
if (head != NULL) {
return this->counter_nodes(head->left) + this->counter_nodes(head->right) + 1;
}
return 0;
}
void get_elements(Node *head, int *auxiliary) {
if (head != NULL) {
this->get_elements(head->left, auxiliary);
auxiliary[this->counter] += head->data;
this->counter++;
this->get_elements(head->right, auxiliary);
}
}
void pair_sum(int sum) {
if (this->root != NULL) {
int size = this->counter_nodes(this->root);
int *auxiliary = new int[size];
int i = 0, index = 0;
bool status = false;
this->counter = 0;
this->get_elements(this->root, auxiliary);
size--;
while (index < size) {
if (auxiliary[index] + auxiliary[size] == sum) {
status = true;
break;
} else
if (auxiliary[index] + auxiliary[size] > sum) {
size--;
} else {
index++;
}
}
if (status == false) {
cout << "\nPair of Sum " << sum << " are not exist \n";
} else {
cout << "\n Pair of Sum : " << sum << "\n";
while (index <= size) {
i = index + 1;
while (i <= size) {
if (auxiliary[index] + auxiliary[i] == sum) {
cout << " (" << auxiliary[index] << "," << auxiliary[i] << ")";
}
i++;
}
index++;
}
}
}
}
};
int main() {
BinarySearchTree obj;
/*
5
/ \
3 9
/ \ / \
1 4 8 11
/ \ / \
-3 2 7 12
*/
obj.add(5);
obj.add(3);
obj.add(9);
obj.add(1);
obj.add(4);
obj.add(8);
obj.add(11);
obj.add(-3);
obj.add(2);
obj.add(7);
obj.add(12);
obj.pair_sum(16);
obj.pair_sum(6);
return 0;
}
Output
Pair of Sum : 16
(4,12) (5,11) (7,9)
Pair of Sum : 6
(-3,9) (1,5) (2,4)
//Java program
//Find all pair with given sum in BST
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 int counter;
BinarySearchTree() {
root = null;
counter = 0;
}
//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");
}
}
int counter_nodes(Node head) {
if (head != null) {
return counter_nodes(head.left) + counter_nodes(head.right) + 1;
}
return 0;
}
public void get_elements(Node head, int[] auxiliary) {
if (head != null) {
get_elements(head.left, auxiliary);
auxiliary[this.counter] += head.data;
this.counter++;
get_elements(head.right, auxiliary);
}
}
public void pair_sum(int sum) {
if (root != null) {
int size = counter_nodes(root);
int[] auxiliary = new int[size];
int i = 0, index = 0;
boolean status = false;
this.counter = 0;
get_elements(root, auxiliary);
size--;
//Check given sum pair are exist or not
while (index < size) {
if (auxiliary[index] + auxiliary[size] == sum) {
status = true;
break;
} else if (auxiliary[index] + auxiliary[size] > sum) {
size--;
} else {
index++;
}
}
if (status == false) {
System.out.print("\nPair of Sum " + sum + " are not exist \n");
} else {
System.out.print("\n Pair of Sum : " + sum + "\n");
while (index <= size) {
i = index + 1;
while (i <= size) {
if (auxiliary[index] + auxiliary[i] == sum) {
System.out.print(" (" + auxiliary[index] + "," + auxiliary[i] + ")");
}
i++;
}
index++;
}
}
}
}
public static void main(String[] args) {
BinarySearchTree obj = new BinarySearchTree();
//Add nodes in binary search tree
/*
5
/ \
3 9
/ \ / \
1 4 8 11
/ \ / \
-3 2 7 12
*/
obj.add(5);
obj.add(3);
obj.add(9);
obj.add(1);
obj.add(4);
obj.add(8);
obj.add(11);
obj.add(-3);
obj.add(2);
obj.add(7);
obj.add(12);
obj.pair_sum(16);
obj.pair_sum(6);
}
}
Output
Pair of Sum : 16
(4,12) (5,11) (7,9)
Pair of Sum : 6
(-3,9) (1,5) (2,4)
//C# program
//Find all pair with given sum in BST
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 {
public Node root;
public int counter;
BinarySearchTree() {
root = null;
counter = 0;
}
//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");
}
}
int counter_nodes(Node head) {
if (head != null) {
return counter_nodes(head.left) + counter_nodes(head.right) + 1;
}
return 0;
}
public void get_elements(Node head, int[] auxiliary) {
if (head != null) {
get_elements(head.left, auxiliary);
auxiliary[this.counter] += head.data;
this.counter++;
get_elements(head.right, auxiliary);
}
}
public void pair_sum(int sum) {
if (root != null) {
int size = counter_nodes(root);
int[] auxiliary = new int[size];
int i = 0, index = 0;
Boolean status = false;
this.counter = 0;
get_elements(root, auxiliary);
size--;
//Check given sum pair are exist or not
while (index < size) {
if (auxiliary[index] + auxiliary[size] == sum) {
status = true;
break;
} else if (auxiliary[index] + auxiliary[size] > sum) {
size--;
} else {
index++;
}
}
if (status == false) {
Console.Write("\nPair of Sum " + sum + " are not exist \n");
} else {
Console.Write("\n Pair of Sum : " + sum + "\n");
while (index <= size) {
i = index + 1;
while (i <= size) {
if (auxiliary[index] + auxiliary[i] == sum) {
Console.Write(" (" + auxiliary[index] + "," + auxiliary[i] + ")");
}
i++;
}
index++;
}
}
}
}
public static void Main(String[] args) {
BinarySearchTree obj = new BinarySearchTree();
//Add nodes in binary search tree
/*
5
/ \
3 9
/ \ / \
1 4 8 11
/ \ / \
-3 2 7 12
*/
obj.add(5);
obj.add(3);
obj.add(9);
obj.add(1);
obj.add(4);
obj.add(8);
obj.add(11);
obj.add(-3);
obj.add(2);
obj.add(7);
obj.add(12);
obj.pair_sum(16);
obj.pair_sum(6);
}
}
Output
Pair of Sum : 16
(4,12) (5,11) (7,9)
Pair of Sum : 6
(-3,9) (1,5) (2,4)
# Python Program
# Find all pair with given sum 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
self.counter = 0
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 counter_nodes(self, head) :
if (head != None) :
return self.counter_nodes(head.left) + self.counter_nodes(head.right) + 1
return 0
def get_elements(self, head, auxiliary) :
if (head != None) :
self.get_elements(head.left, auxiliary)
auxiliary[self.counter] += head.data
self.counter += 1
self.get_elements(head.right, auxiliary)
def pair_sum(self, given_sum) :
if (self.root != None) :
size = self.counter_nodes(self.root)
auxiliary = [0]*size
i = 0
index = 0
status = False
self.counter = 0
self.get_elements(self.root, auxiliary)
size -= 1
while (index < size) :
if (auxiliary[index] + auxiliary[size] == given_sum) :
status = True
break
elif (auxiliary[index] + auxiliary[size] > given_sum) :
size -= 1
else :
index += 1
if (status == False) :
print("\nPair of Sum ", given_sum ," are not exist ")
else :
print("\n Pair of Sum : ", given_sum )
while (index <= size) :
i = index + 1
while (i <= size) :
if (auxiliary[index] + auxiliary[i] == given_sum) :
print("(", auxiliary[index] ,",", auxiliary[i] ,")",end=" ")
i += 1
index += 1
def main() :
obj = BinarySearchTree()
#
# 5
# / \
# 3 9
# / \ / \
# 1 4 8 11
# / \ / \
# -3 2 7 12
#
obj.add(5)
obj.add(3)
obj.add(9)
obj.add(1)
obj.add(4)
obj.add(8)
obj.add(11)
obj.add(-3)
obj.add(2)
obj.add(7)
obj.add(12)
obj.pair_sum(16)
obj.pair_sum(6)
if __name__ == "__main__":
main()
Output
Pair of Sum : 16
( 4 , 12 ) ( 5 , 11 ) ( 7 , 9 )
Pair of Sum : 6
( -3 , 9 ) ( 1 , 5 ) ( 2 , 4 )# Ruby Program
# Find all pair with given sum 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, :counter
attr_accessor :root, :counter
def initialize()
@root = nil
@counter = 0
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 counter_nodes(head)
if (head != nil)
return self.counter_nodes(head.left) + self.counter_nodes(head.right) + 1
end
return 0
end
def get_elements(head, auxiliary)
if (head != nil)
self.get_elements(head.left, auxiliary)
auxiliary[self.counter] += head.data
self.counter += 1
self.get_elements(head.right, auxiliary)
end
end
def pair_sum(sum)
if (@root != nil)
size = self.counter_nodes(@root)
auxiliary = Array.new(size,0)
i = 0
index = 0
status = false
self.counter = 0
self.get_elements(@root, auxiliary)
size -= 1
while (index < size)
if (auxiliary[index] + auxiliary[size] == sum)
status = true
break
elsif (auxiliary[index] + auxiliary[size] > sum)
size -= 1
else
index += 1
end
end
if (status == false)
print("\nPair of Sum ", sum ," are not exist \n")
else
print("\n Pair of Sum :", sum ,"\n")
while (index <= size)
i = index + 1
while (i <= size)
if (auxiliary[index] + auxiliary[i] == sum)
print(" (", auxiliary[index] ,",", auxiliary[i] ,")")
end
i += 1
end
index += 1
end
end
end
end
end
def main()
obj = BinarySearchTree.new()
#
# 5
# / \
# 3 9
# / \ / \
# 1 4 8 11
# / \ / \
# -3 2 7 12
#
obj.add(5)
obj.add(3)
obj.add(9)
obj.add(1)
obj.add(4)
obj.add(8)
obj.add(11)
obj.add(-3)
obj.add(2)
obj.add(7)
obj.add(12)
obj.pair_sum(16)
obj.pair_sum(6)
end
main()
Output
Pair of Sum :16
(4,12) (5,11) (7,9)
Pair of Sum :6
(-3,9) (1,5) (2,4)<?php
/*
Php Program
Find all pair with given sum 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;
public $counter;
function __construct() {
$this->root = null;
$this->counter = 0;
}
public function add($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 = $find->right;
}
}
}
}
} else {
echo("\nMemory Overflow\n");
}
}
function counter_nodes($head) {
if ($head != null) {
return $this->counter_nodes($head->left) + $this->counter_nodes($head->right) + 1;
}
return 0;
}
public function get_elements($head, &$auxiliary) {
if ($head != null) {
$this->get_elements($head->left, $auxiliary);
$auxiliary[$this->counter] += $head->data;
$this->counter++;
$this->get_elements($head->right, $auxiliary);
}
}
public function pair_sum($sum) {
if ($this->root != null) {
$size = $this->counter_nodes($this->root);
$auxiliary = array_fill(0, $size, 0);
$i = 0;
$index = 0;
$status = false;
$this->counter = 0;
$this->get_elements($this->root, $auxiliary);
$size--;
while ($index < $size) {
if ($auxiliary[$index] + $auxiliary[$size] == $sum) {
$status = true;
break;
} else
if ($auxiliary[$index] + $auxiliary[$size] > $sum) {
$size--;
} else {
$index++;
}
}
if ($status == false) {
echo("\nPair of Sum ". $sum ." are not exist \n");
} else {
echo("\n Pair of Sum : ". $sum ."\n");
while ($index <= $size) {
$i = $index + 1;
while ($i <= $size) {
if ($auxiliary[$index] + $auxiliary[$i] == $sum) {
echo(" (". $auxiliary[$index] .",". $auxiliary[$i] .")");
}
$i++;
}
$index++;
}
}
}
}
}
function main() {
$obj = new BinarySearchTree();
/*
5
/ \
3 9
/ \ / \
1 4 8 11
/ \ / \
-3 2 7 12
*/
$obj->add(5);
$obj->add(3);
$obj->add(9);
$obj->add(1);
$obj->add(4);
$obj->add(8);
$obj->add(11);
$obj->add(-3);
$obj->add(2);
$obj->add(7);
$obj->add(12);
$obj->pair_sum(16);
$obj->pair_sum(6);
}
main();
Output
Pair of Sum :16
(4,12) (5,11) (7,9)
Pair of Sum :6
(-3,9) (1,5) (2,4)/*
Node JS Program
Find all pair with given sum in BST
*/
class Node {
constructor(value) {
this.data = value;
this.left = null;
this.right = null;
}
}
class BinarySearchTree {
constructor() {
this.root = null;
this.counter = 0;
}
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");
}
}
counter_nodes(head) {
if (head != null) {
return this.counter_nodes(head.left) + this.counter_nodes(head.right) + 1;
}
return 0;
}
get_elements(head, auxiliary) {
if (head != null) {
this.get_elements(head.left, auxiliary);
auxiliary[this.counter] += head.data;
this.counter++;
this.get_elements(head.right, auxiliary);
}
}
pair_sum(sum) {
if (this.root != null) {
var size = this.counter_nodes(this.root);
var auxiliary = Array(size).fill(0);;
var i = 0;
var index = 0;
var status = false;
this.counter = 0;
this.get_elements(this.root, auxiliary);
size--;
while (index < size) {
if (auxiliary[index] + auxiliary[size] == sum) {
status = true;
break;;
} else
if (auxiliary[index] + auxiliary[size] > sum) {
size--;
} else {
index++;
}
}
if (status == false) {
process.stdout.write("\nPair of Sum " + sum + " are not exist \n");
} else {
process.stdout.write("\n Pair of Sum : " + sum + "\n");
while (index <= size) {
i = index + 1;
while (i <= size) {
if (auxiliary[index] + auxiliary[i] == sum) {
process.stdout.write(" (" + auxiliary[index] + "," + auxiliary[i] + ")");
}
i++;
}
index++;
}
}
}
}
}
function main() {
var obj = new BinarySearchTree();
/*
5
/ \
3 9
/ \ / \
1 4 8 11
/ \ / \
-3 2 7 12
*/
obj.add(5);
obj.add(3);
obj.add(9);
obj.add(1);
obj.add(4);
obj.add(8);
obj.add(11);
obj.add(-3);
obj.add(2);
obj.add(7);
obj.add(12);
obj.pair_sum(16);
obj.pair_sum(6);
}
main();
Output
Pair of Sum :16
(4,12) (5,11) (7,9)
Pair of Sum :6
(-3,9) (1,5) (2,4)/*
Swift 4 Program
Find all pair with given sum 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? ;
var counter: Int;
init() {
self.root = nil;
self.counter = 0;
}
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 counter_nodes(_ head: Node? ) -> Int {
if (head != nil) {
return self.counter_nodes(head!.left) + self.counter_nodes(head!.right) + 1;
}
return 0;
}
func get_elements(_ head: Node? , _ auxiliary : inout [Int]) {
if (head != nil) {
self.get_elements(head!.left, &auxiliary);
auxiliary[self.counter] += head!.data;
self.counter += 1;
self.get_elements(head!.right, &auxiliary);
}
}
func pair_sum(_ sum: Int) {
if (self.root != nil) {
var size: Int = self.counter_nodes(self.root);
var auxiliary: [Int] = Array(repeating:0,count:size);
var i: Int = 0;
var index = 0;
var status: Bool = false;
self.counter = 0;
self.get_elements(self.root, &auxiliary);
size -= 1;
while (index < size) {
if (auxiliary[index] + auxiliary[size] == sum) {
status = true;
break;
} else
if (auxiliary[index] + auxiliary[size] > sum) {
size -= 1;
} else {
index += 1;
}
}
if (status == false) {
print("\nPair of Sum ", sum ," are not exist \n");
} else {
print("\n Pair of Sum : ", sum ,"\n");
while (index <= size) {
i = index + 1;
while (i <= size) {
if (auxiliary[index] + auxiliary[i] == sum) {
print(" (", auxiliary[index] ,",", auxiliary[i] ,")");
}
i += 1;
}
index += 1;
}
}
}
}
}
func main() {
let obj: BinarySearchTree = BinarySearchTree();
/*
5
/ \
3 9
/ \ / \
1 4 8 11
/ \ / \
-3 2 7 12
*/
obj.add(5);
obj.add(3);
obj.add(9);
obj.add(1);
obj.add(4);
obj.add(8);
obj.add(11);
obj.add(-3);
obj.add(2);
obj.add(7);
obj.add(12);
obj.pair_sum(16);
obj.pair_sum(6);
}
main();
Output
Pair of Sum : 16
( 4 , 12 )
( 5 , 11 )
( 7 , 9 )
Pair of Sum : 6
( -3 , 9 )
( 1 , 5 )
( 2 , 4 )
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