Print all nodes less than a given value in a Max Heap
Here given code implementation process.
/*
C++ program
Print all nodes less than a given value in a Max Heap
*/
//Tree node
#include<iostream>
using namespace std;
class Node {
public:
//Left and right child
Node *left;
Node *right;
//Data value
int key;
Node(int key) {
this->key = key;
this->left = NULL;
this->right = NULL;
}
};
class MaxHeap {
public:
//This is use to store information of number of nodes in Max heap
int size;
Node *root;
MaxHeap() {
this->root = NULL;
this->size = 0;
}
//Get height of insert new node
int insertHeight() {
int i = 1;
int sum = 0;
while (this->size > sum + (1 << i)) {
sum += (1 << i);
i++;
}
return i;
}
void swapNode(Node *first, Node *second) {
int key = first->key;
first->key = second->key;
second->key = key;
}
//Arrange node key
void arrangeNode(Node *root) {
if (root->left != NULL && root->left->key > root->key) {
this->swapNode(root, root->left);
}
if (root->right != NULL && root->right->key > root->key) {
this->swapNode(root, root->right);
}
}
bool addNode(Node *root, int height, int level, int key) {
if (level >= height) {
return false;
}
if (root != NULL) {
if (level - 1 == height && root->left == NULL || root->right == NULL) {
if (root->left == NULL) {
root->left = new Node(key);
} else {
root->right = new Node(key);
}
this->arrangeNode(root);
return true;
}
if (this->addNode(root->left, height, level + 1, key) ||
this->addNode(root->right, height, level + 1, key)) {
//Check effect of new inserted node
this->arrangeNode(root);
return true;
}
}
return false;
}
//Handles the request to new inserting node
void insert(int key) {
//Test case
if (this->root == NULL) {
this->root = new Node(key);
} else
if (this->root->left == NULL) {
this->root->left = new Node(key);
this->arrangeNode(this->root);
} else
if (this->root->right == NULL) {
this->root->right = new Node(key);
this->arrangeNode(this->root);
} else {
int height = this->insertHeight();
this->addNode(this->root, height, 0, key);
}
this->size++;
}
void printNode(Node *root, int key) {
if (root != NULL) {
this->printNode(root->left, key);
if (root->key < key) {
//When element is less than of given key value
cout << " " << root->key;
}
this->printNode(root->right, key);
}
}
};
int main() {
MaxHeap heap = MaxHeap();
//Construct Min heap tree
heap.insert(5);
heap.insert(7);
heap.insert(4);
heap.insert(3);
heap.insert(9);
heap.insert(14);
heap.insert(2);
heap.insert(1);
heap.insert(6);
heap.insert(11);
/*After insert element*/
/*
14
/ \
11 9
/ \ / \
6 7 4 2
/ \ /
1 3 5
*/
int k = 10;
heap.printNode(heap.root, k);
return 0;
}
Output
1 6 3 5 7 4 9 2/*
Java program
Print all nodes less than a given value in a Max Heap
*/
//Tree node
class Node {
//Left and right child
public Node left;
public Node right;
//Data value
public int key;
public Node(int key) {
this.key = key;
left = null;
right = null;
}
}
public class MaxHeap {
//This is use to store information of number of nodes in Max heap
public int size;
public Node root;
public MaxHeap() {
root = null;
size = 0;
}
//Get height of insert new node
public int insertHeight() {
int i = 1;
int sum = 0;
while (this.size > sum + (1 << i)) {
sum += (1 << i);
i++;
}
return i;
}
public void swapNode(Node first, Node second) {
int key = first.key;
first.key = second.key;
second.key = key;
}
//Arrange node key
public void arrangeNode(Node root) {
if (root.left != null && root.left.key > root.key) {
swapNode(root, root.left);
}
if (root.right != null && root.right.key > root.key) {
swapNode(root, root.right);
}
}
public boolean addNode(Node root, int height, int level, int key) {
if (level >= height) {
return false;
}
if (root != null) {
if (level - 1 == height && root.left == null || root.right == null) {
if (root.left == null) {
root.left = new Node(key);
} else {
root.right = new Node(key);
}
arrangeNode(root);
return true;
}
if (addNode(root.left, height, level + 1, key) || addNode(root.right, height, level + 1, key)) {
//Check effect of new inserted node
arrangeNode(root);
return true;
}
}
return false;
}
//Handles the request to new inserting node
public void insert(int key) {
//Test case
if (root == null) {
root = new Node(key);
} else if (root.left == null) {
root.left = new Node(key);
arrangeNode(root);
} else if (root.right == null) {
root.right = new Node(key);
arrangeNode(root);
} else {
int height = insertHeight();
addNode(root, height, 0, key);
}
this.size++;
}
public void printNode(Node root, int key)
{
if (root != null) {
printNode(root.left, key);
if (root.key < key) {
//When element is less than of given key value
System.out.print(" " + root.key);
}
printNode(root.right, key);
}
}
public static void main(String[] args) {
MaxHeap heap = new MaxHeap();
//Construct Min heap tree
heap.insert(5);
heap.insert(7);
heap.insert(4);
heap.insert(3);
heap.insert(9);
heap.insert(14);
heap.insert(2);
heap.insert(1);
heap.insert(6);
heap.insert(11);
/*After insert element*/
/*
14
/ \
11 9
/ \ / \
6 7 4 2
/ \ /
1 3 5
*/
int k = 10;
heap.printNode(heap.root, k);
}
}
Output
1 6 3 5 7 4 9 2/*
C# program
Print all nodes less than a given value in a Max Heap
*/
using System;
//Tree node
public class Node {
//Left and right child
public Node left;
public Node right;
//Data value
public int key;
public Node(int key) {
this.key = key;
left = null;
right = null;
}
}
public class MaxHeap {
//This is use to store information of number of nodes in Max heap
public int size;
public Node root;
public MaxHeap() {
root = null;
size = 0;
}
//Get height of insert new node
public int insertHeight() {
int i = 1;
int sum = 0;
while (this.size > sum + (1 << i)) {
sum += (1 << i);
i++;
}
return i;
}
public void swapNode(Node first, Node second) {
int key = first.key;
first.key = second.key;
second.key = key;
}
//Arrange node key
public void arrangeNode(Node root) {
if (root.left != null && root.left.key > root.key) {
swapNode(root, root.left);
}
if (root.right != null && root.right.key > root.key) {
swapNode(root, root.right);
}
}
public Boolean addNode(Node root, int height, int level, int key) {
if (level >= height) {
return false;
}
if (root != null) {
if (level - 1 == height && root.left == null || root.right == null) {
if (root.left == null) {
root.left = new Node(key);
} else {
root.right = new Node(key);
}
arrangeNode(root);
return true;
}
if (addNode(root.left, height, level + 1, key) || addNode(root.right, height, level + 1, key)) {
arrangeNode(root);
return true;
}
}
return false;
}
//Handles the request to new inserting node
public void insert(int key) {
//Test case
if (root == null) {
root = new Node(key);
} else
if (root.left == null) {
root.left = new Node(key);
arrangeNode(root);
} else
if (root.right == null) {
root.right = new Node(key);
arrangeNode(root);
} else {
int height = insertHeight();
addNode(root, height, 0, key);
}
this.size++;
}
public void printNode(Node root, int key) {
if (root != null) {
printNode(root.left, key);
if (root.key < key) {
Console.Write(" " + root.key);
}
printNode(root.right, key);
}
}
public static void Main(String[] args) {
MaxHeap heap = new MaxHeap();
heap.insert(5);
heap.insert(7);
heap.insert(4);
heap.insert(3);
heap.insert(9);
heap.insert(14);
heap.insert(2);
heap.insert(1);
heap.insert(6);
heap.insert(11);
/*After insert element*/
/*
14
/ \
11 9
/ \ / \
6 7 4 2
/ \ /
1 3 5
*/
int k = 10;
heap.printNode(heap.root, k);
}
}
Output
1 6 3 5 7 4 9 2<?php
/*
Php program
Print all nodes less than a given value in a Max Heap
*/
//Tree node
class Node {
//Left and right child
public $left;
public $right;
//Data value
public $key;
function __construct($key) {
$this->key = $key;
$this->left = null;
$this->right = null;
}
}
class MaxHeap {
//This is use to store information of number of nodes in Max heap
public $size;
public $root;
function __construct() {
$this->root = null;
$this->size = 0;
}
//Get height of insert new node
public function insertHeight() {
$i = 1;
$sum = 0;
while ($this->size > $sum + (1 << $i)) {
$sum += (1 << $i);
$i++;
}
return $i;
}
public function swapNode($first, $second) {
$key = $first->key;
$first->key = $second->key;
$second->key = $key;
}
//Arrange node key
public function arrangeNode($root) {
if ($root->left != null && $root->left->key > $root->key) {
$this->swapNode($root, $root->left);
}
if ($root->right != null && $root->right->key > $root->key) {
$this->swapNode($root, $root->right);
}
}
public function addNode($root, $height, $level, $key) {
if ($level >= $height) {
return false;
}
if ($root != null) {
if ($level - 1 == $height && $root->left == null || $root->right == null) {
if ($root->left == null) {
$root->left = new Node($key);
} else {
$root->right = new Node($key);
}
$this->arrangeNode($root);
return true;
}
if ($this->addNode($root->left, $height, $level + 1, $key) ||
$this->addNode($root->right, $height, $level + 1, $key)) {
//Check effect of new inserted node
$this->arrangeNode($root);
return true;
}
}
return false;
}
//Handles the request to new inserting node
public function insert($key) {
//Test case
if ($this->root == null) {
$this->root = new Node($key);
}
else if ($this->root->left == null) {
$this->root->left = new Node($key);
$this->arrangeNode($this->root);
}
else if ($this->root->right == null) {
$this->root->right = new Node($key);
$this->arrangeNode($this->root);
} else {
$height = $this->insertHeight();
$this->addNode($this->root, $height, 0, $key);
}
$this->size++;
}
public function printNode($root, $key) {
if ($root != null) {
$this->printNode($root->left, $key);
if ($root->key < $key) {
//When element is less than of given key value
echo(" ". $root->key);
}
$this->printNode($root->right, $key);
}
}
}
function main() {
$heap = new MaxHeap();
//Construct Min heap tree
$heap->insert(5);
$heap->insert(7);
$heap->insert(4);
$heap->insert(3);
$heap->insert(9);
$heap->insert(14);
$heap->insert(2);
$heap->insert(1);
$heap->insert(6);
$heap->insert(11);
/*After insert element*/
/*
14
/ \
11 9
/ \ / \
6 7 4 2
/ \ /
1 3 5
*/
$k = 10;
$heap->printNode($heap->root, $k);
}
main();
Output
1 6 3 5 7 4 9 2/*
Node Js program
Print all nodes less than a given value in a Max Heap
*/
//Tree node
class Node {
constructor(key) {
this.key = key;
this.left = null;
this.right = null;
}
}
class MaxHeap {
constructor() {
this.root = null;
this.size = 0;
}
//Get height of insert new node
insertHeight() {
var i = 1;
var sum = 0;
while (this.size > sum + (1 << i)) {
sum += (1 << i);
i++;
}
return i;
}
swapNode(first, second) {
var key = first.key;
first.key = second.key;
second.key = key;
}
//Arrange node key
arrangeNode(root) {
if (root.left != null && root.left.key > root.key) {
this.swapNode(root, root.left);
}
if (root.right != null && root.right.key > root.key) {
this.swapNode(root, root.right);
}
}
addNode(root, height, level, key) {
if (level >= height) {
return false;
}
if (root != null) {
if (level - 1 == height && root.left == null || root.right == null) {
if (root.left == null) {
root.left = new Node(key);
} else {
root.right = new Node(key);
}
this.arrangeNode(root);
return true;
}
if (this.addNode(root.left, height, level + 1, key) ||
this.addNode(root.right, height, level + 1, key)) {
//Check effect of new inserted node
this.arrangeNode(root);
return true;
}
}
return false;
}
//Handles the request to new inserting node
insert(key) {
//Test case
if (this.root == null) {
this.root = new Node(key);
} else
if (this.root.left == null) {
this.root.left = new Node(key);
this.arrangeNode(this.root);
} else
if (this.root.right == null) {
this.root.right = new Node(key);
this.arrangeNode(this.root);
} else {
var height = this.insertHeight();
this.addNode(this.root, height, 0, key);
}
this.size++;
}
printNode(root, key) {
if (root != null) {
this.printNode(root.left, key);
if (root.key < key) {
//When element is less than of given key value
process.stdout.write(" " + root.key);
}
this.printNode(root.right, key);
}
}
}
function main(args) {
var heap = new MaxHeap();
//Construct Min heap tree
heap.insert(5);
heap.insert(7);
heap.insert(4);
heap.insert(3);
heap.insert(9);
heap.insert(14);
heap.insert(2);
heap.insert(1);
heap.insert(6);
heap.insert(11);
/*After insert element*/
/*
14
/ \
11 9
/ \ / \
6 7 4 2
/ \ /
1 3 5
*/
var k = 10;
heap.printNode(heap.root, k);
}
main();
Output
1 6 3 5 7 4 9 2# Python 3 program
# Print all nodes less than a given value in a Max Heap
# Tree node
class Node :
def __init__(self, key) :
self.key = key
self.left = None
self.right = None
class MaxHeap :
def __init__(self) :
self.root = None
self.size = 0
# Get height of insert new node
def insertHeight(self) :
i = 1
sum = 0
while (self.size > sum + (1 << i)) :
sum += (1 << i)
i += 1
return i
def swapNode(self, first, second) :
key = first.key
first.key = second.key
second.key = key
# Arrange node key
def arrangeNode(self, root) :
if (root.left != None and root.left.key > root.key) :
self.swapNode(root, root.left)
if (root.right != None and root.right.key > root.key) :
self.swapNode(root, root.right)
def addNode(self, root, height, level, key) :
if (level >= height) :
return False
if (root != None) :
if (level - 1 == height and root.left == None or root.right == None) :
if (root.left == None) :
root.left = Node(key)
else :
root.right = Node(key)
self.arrangeNode(root)
return True
if (self.addNode(root.left, height, level + 1, key) or self.addNode(root.right, height, level + 1, key)) :
# Check effect of new inserted node
self.arrangeNode(root)
return True
return False
# Handles the request to new inserting node
def insert(self, key) :
# Test case
if (self.root == None) :
self.root = Node(key)
elif (self.root.left == None) :
self.root.left = Node(key)
self.arrangeNode(self.root)
elif (self.root.right == None) :
self.root.right = Node(key)
self.arrangeNode(self.root)
else :
height = self.insertHeight()
self.addNode(self.root, height, 0, key)
self.size += 1
def printNode(self, root, key) :
if (root != None) :
self.printNode(root.left, key)
if (root.key < key) :
print(" ", root.key, end = "")
self.printNode(root.right, key)
def main() :
heap = MaxHeap() # Construct Min heap tree
heap.insert(5)
heap.insert(7)
heap.insert(4)
heap.insert(3)
heap.insert(9)
heap.insert(14)
heap.insert(2)
heap.insert(1)
heap.insert(6)
heap.insert(11)
#
# 14
# / \
# 11 9
# / \ / \
# 6 7 4 2
# / \ /
# 1 3 5
#
#After insert element
#
# 14
# / \
# 11 9
# / \ / \
# 6 7 4 2
# / \ /
# 1 3 5
#
k = 10
heap.printNode(heap.root, k)
if __name__ == "__main__":
main()
Output
1 6 3 5 7 4 9 2# Ruby program
# Print all nodes less than a given value in a Max Heap
# Tree node
class Node
# Define the accessor and reader of class Node
attr_reader :left, :right, :key
attr_accessor :left, :right, :key
def initialize(key)
self.key = key
@left = nil
@right = nil
end
end
class MaxHeap
# Define the accessor and reader of class MaxHeap
# size is use to store information of number of nodes in Max heap
attr_reader :size, :root
attr_accessor :size, :root
def initialize()
@root = nil
@size = 0
end
# Get height of insert new node
def insertHeight()
i = 1
sum = 0
while (self.size > sum + (1 << i))
sum += (1 << i)
i += 1
end
return i
end
def swapNode(first, second)
key = first.key
first.key = second.key
second.key = key
end
# Arrange node key
def arrangeNode(root)
if (root.left != nil && root.left.key > root.key)
self.swapNode(root, root.left)
end
if (root.right != nil && root.right.key > root.key)
self.swapNode(root, root.right)
end
end
def addNode(root, height, level, key)
if (level >= height)
return false
end
if (root != nil)
if (level - 1 == height && root.left == nil || root.right == nil)
if (root.left == nil)
root.left = Node.new(key)
else
root.right = Node.new(key)
end
self.arrangeNode(root)
return true
end
if (self.addNode(root.left, height, level + 1, key) || self.addNode(root.right, height, level + 1, key))
# Check effect of new inserted node
self.arrangeNode(root)
return true
end
end
return false
end
# Handles the request to new inserting node
def insert(key)
# Test case
if (@root == nil)
@root = Node.new(key)
elsif (@root.left == nil)
@root.left = Node.new(key)
self.arrangeNode(@root)
elsif (@root.right == nil)
@root.right = Node.new(key)
self.arrangeNode(@root)
else
height = self.insertHeight()
self.addNode(@root, height, 0, key)
end
self.size += 1
end
def printNode(root, key)
if (root != nil)
self.printNode(root.left, key)
if (root.key < key)
# When element is less than of given key value
print(" ", root.key)
end
self.printNode(root.right, key)
end
end
end
def main()
heap = MaxHeap.new()
# Construct Min heap tree
heap.insert(5)
heap.insert(7)
heap.insert(4)
heap.insert(3)
heap.insert(9)
heap.insert(14)
heap.insert(2)
heap.insert(1)
heap.insert(6)
heap.insert(11)
#After insert element
#
# 14
# / \
# 11 9
# / \ / \
# 6 7 4 2
# / \ /
# 1 3 5
#
k = 10
heap.printNode(heap.root, k)
end
main()
Output
1 6 3 5 7 4 9 2/*
Scala program
Print all nodes less than a given value in a Max Heap
*/
//Tree node
class Node(var left: Node,
var right: Node,
var key: Int) {
def this(key: Int) {
this(null,null,key);
}
}
class MaxHeap (var size: Int, var root: Node){
def this() {
this(0,null);
}
//Get height of insert new node
def insertHeight(): Int = {
var i: Int = 1;
var sum: Int = 0;
while (this.size > sum + (1 << i)) {
sum += (1 << i);
i += 1;
}
return i;
}
def swapNode(first: Node, second: Node): Unit = {
var key: Int = first.key;
first.key = second.key;
second.key = key;
}
//Arrange node key
def arrangeNode(root: Node): Unit = {
if (root.left != null && root.left.key > root.key) {
this.swapNode(root, root.left);
}
if (root.right != null && root.right.key > root.key) {
this.swapNode(root, root.right);
}
}
def addNode(root: Node, height: Int, level: Int, key: Int): Boolean = {
if (level >= height) {
return false;
}
if (root != null) {
if (level - 1 == height && root.left == null || root.right == null) {
if (root.left == null) {
root.left = new Node(key);
} else {
root.right = new Node(key);
}
this.arrangeNode(root);
return true;
}
if (this.addNode(root.left, height, level + 1, key) ||
this.addNode(root.right, height, level + 1, key)) {
//Check effect of new inserted node
this.arrangeNode(root);
return true;
}
}
return false;
}
//Handles the request to new inserting node
def insert(key: Int): Unit = {
//Test case
if (this.root == null) {
this.root = new Node(key);
} else
if (this.root.left == null) {
this.root.left = new Node(key);
this.arrangeNode(this.root);
} else
if (this.root.right == null) {
this.root.right = new Node(key);
this.arrangeNode(this.root);
} else {
val height: Int = this.insertHeight();
this.addNode(this.root, height, 0, key);
}
this.size += 1;
}
def printNode(root: Node, key: Int): Unit = {
if (root != null) {
this.printNode(root.left, key);
if (root.key < key) {
//When element is less than of given key value
print(" " + root.key);
}
this.printNode(root.right, key);
}
}
}
object Main {
def main(args: Array[String]): Unit = {
val heap: MaxHeap = new MaxHeap();
//Construct Min heap tree
heap.insert(5);
heap.insert(7);
heap.insert(4);
heap.insert(3);
heap.insert(9);
heap.insert(14);
heap.insert(2);
heap.insert(1);
heap.insert(6);
heap.insert(11);
/*After insert element*/
/*
14
/ \
11 9
/ \ / \
6 7 4 2
/ \ /
1 3 5
*/
var k: Int = 10;
heap.printNode(heap.root, k);
}
}
Output
1 6 3 5 7 4 9 2/*
Swift program
Print all nodes less than a given value in a Max Heap
*/
//Tree node
class Node {
var left: Node? ;
var right: Node? ;
var key: Int;
init(_ key: Int) {
self.key = key;
left = nil;
right = nil;
}
}
class MaxHeap {
var size: Int;
var root: Node? ;
init() {
root = nil;
size = 0;
}
//Get height of insert new node
func insertHeight() -> Int {
var i = 1;
var sum = 0;
while (self.size > sum + (1 << i)) {
sum += (1 << i);
i += 1;
}
return i;
}
func swapNode(_ first: Node? , _ second : Node? ) {
let key = first!.key;
first!.key = second!.key;
second!.key = key;
}
//Arrange node key
func arrangeNode(_ root: Node? ) {
if (root!.left != nil && root!.left!.key > root!.key) {
self.swapNode(root, root!.left);
}
if (root!.right != nil && root!.right!.key > root!.key) {
self.swapNode(root, root!.right);
}
}
func addNode(_ root: Node? , _ height : Int, _ level: Int, _ key: Int) -> Bool {
if (level >= height) {
return false;
}
if (root != nil) {
if (level - 1 == height && root!.left == nil || root!.right == nil) {
if (root!.left == nil) {
root!.left = Node(key);
} else {
root!.right = Node(key);
}
self.arrangeNode(root);
return true;
}
if (self.addNode(root!.left, height, level + 1, key) ||
self.addNode(root!.right, height, level + 1, key)) {
//Check effect of new inserted node
self.arrangeNode(root);
return true;
}
}
return false;
}
//Handles the request to new inserting node
func insert(_ key: Int) {
//Test case
if (root == nil) {
root = Node(key);
} else
if (root!.left == nil) {
root!.left = Node(key);
self.arrangeNode(root);
} else
if (root!.right == nil) {
root!.right = Node(key);
self.arrangeNode(root);
} else {
let height = self.insertHeight();
let _ = self.addNode(root, height, 0, key);
}
self.size += 1;
}
func printNode(_ root: Node? , _ key : Int) {
if (root != nil) {
self.printNode(root!.left, key);
if (root!.key < key) {
print(" ", root!.key, terminator: "");
}
self.printNode(root!.right, key);
}
}
}
func main() {
let heap = MaxHeap();
//Construct Min heap tree
heap.insert(5);
heap.insert(7);
heap.insert(4);
heap.insert(3);
heap.insert(9);
heap.insert(14);
heap.insert(2);
heap.insert(1);
heap.insert(6);
heap.insert(11);
/*After insert element*/
/*
14
/ \
11 9
/ \ / \
6 7 4 2
/ \ /
1 3 5
*/
let k = 10;
heap.printNode(heap.root, k);
}
main();
Output
1 6 3 5 7 4 9 2
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