# Check whether binary tree is form of max heap

Here given code implementation process.

``````/*
C Program
Check whether binary tree is form of max heap
*/
#include <stdio.h>

#include <stdlib.h>
//structure of Binary Tree node
struct Node
{
int data;
struct Node*left,*right;
};

//Create a binary tree nodes and node fields (data,pointer)
//And returning the reference of newly nodes
struct Node* insert(int data)
{
//Create dynamic memory to new binary tree 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; //Initially node left-pointer is NULL
new_node->right=NULL;//Initially node right-pointer is NULL
}else
{
printf("Memory Overflow\n");
exit(0); //TerMaxate program execution
}
//return reference
return new_node;

}

//Check that given binary tree is form of max heap or not
int is_max_heap(struct Node*root)
{

if(root!=NULL)
{
if(root->left!=NULL && root->left->data > root->data ||
root->right!=NULL && root->right->data > root->data)
{
//When tree is not a max heap
return 0;
}

if(is_max_heap(root->left) == 1 && is_max_heap(root->right) == 1)
{
//When the tree is in the form of a max heap
return 1;
}

return 0;
}

return 1;

}
//Display tree element inorder form
void inorder(struct Node*node){

if(node){

inorder(node->left);
//Print node value
printf("  %d",node->data);
inorder(node->right);
}

}
int main(){

struct Node*root=NULL;

/*  Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \
6       2
/
1
*/

//Insertion of binary tree nodes
root                    =insert(17);
root->left              =insert(15);
root->right             =insert(16);
root->right->right      =insert(10);
root->right->left       =insert(8);
root->left->left        =insert(9);
root->left->left->left  =insert(6);
root->left->right =insert(7);
root->left->right->right =insert(2);
root->left->right->right->left=insert(1);
inorder(root);
if(is_max_heap(root)==1)
{
printf("\n Max Heap Binary Tree \n");
}
else
{
printf(" Not a Max Heap Binary Tree \n");
}

/*  Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \       \
6       2       20
/
1
*/
root->right->right->right      =insert(20);
inorder(root);
if(is_max_heap(root)==1)
{
printf("\n Max Heap Binary Tree \n");
}
else
{
printf("\n Not a Max Heap Binary Tree \n");
}

return 0;
}```
```

#### Output

``````  6  9  15  7  1  2  17  8  16  10
Max Heap Binary Tree
6  9  15  7  1  2  17  8  16  10  20
Not a Max Heap Binary Tree``````
``````/*
C++ Program
Check whether binary tree is form of max heap
*/
#include<iostream>

using namespace std;

//Structure of Binary Tree node
class Node {
public:
int data;
Node *left, *right;
//make a tree node

Node(int data) {
//assign field values
this->data = data;
this->left = NULL;
this->right = NULL;
}
};
class MyHeap {
public:
Node *root;
MyHeap() {
this->root = NULL;
}
//Check that given binary tree is form of max heap or not
bool is_max_heap(Node *root) {
if (root != NULL) {
if (root->left != NULL && root->left->data > root->data
|| root->right != NULL && root->right->data > root->data) {
return
//When tree is not a max heap
false;
}
if (this->is_max_heap(root->left) == true
&& this->is_max_heap(root->right) == true) {
return
//When the tree is in the form of a max heap
true;
}
return false;
}
return true;
}
//Display tree elements in order form
void inorder(Node *node) {
if (node != NULL) {
this->inorder(node->left);
//Print node value

cout << " " << node->data;
this->inorder(node->right);
}
}
};
int main() {
MyHeap obj = MyHeap();
/*  Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \
6       2
/
1
*/
//Insertion of binary tree nodes
obj.root = new Node(17);
obj.root->left = new Node(15);
obj.root->right = new Node(16);
obj.root->right->right = new Node(10);
obj.root->right->left = new Node(8);
obj.root->left->left = new Node(9);
obj.root->left->left->left = new Node(6);
obj.root->left->right = new Node(7);
obj.root->left->right->right = new Node(2);
obj.root->left->right->right->left = new Node(1);
obj.inorder(obj.root);
if (obj.is_max_heap(obj.root) == true) {
cout << "\n Max Heap Binary Tree \n";
} else {
cout << " Not a Max Heap Binary Tree \n";
}
/*  Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \       \
6       2       20
/
1
*/
obj.root->right->right->right = new Node(20);
obj.inorder(obj.root);
if (obj.is_max_heap(obj.root) == true) {
cout << "\n Max Heap Binary Tree \n";
} else {
cout << "\n Not a Max Heap Binary Tree \n";
}
return 0;
}```
```

#### Output

`````` 6 9 15 7 1 2 17 8 16 10
Max Heap Binary Tree
6 9 15 7 1 2 17 8 16 10 20
Not a Max Heap Binary Tree``````
``````/*
Java Program
Check whether binary tree is form of max heap
*/
//Structure of Binary Tree node
class Node
{

public int data;
public  Node left, right;
//make a tree node
public Node(int data)
{
//assign field values
this.data=data;
left=null;
right=null;
}
}
public class MyHeap
{

public Node root;
public MyHeap()
{
root=null;
}
//Check that given binary tree is form of max heap or not
public boolean is_max_heap(Node root)
{

if(root!=null)
{
if(root.left!=null && root.left.data > root.data ||
root.right!=null && root.right.data > root.data)
{
//When tree is not a max heap
return false;
}

if(is_max_heap(root.left) == true && is_max_heap(root.right) == true)
{
//When the tree is in the form of a max heap
return true;
}

return false;
}

return true;

}
//Display tree elements in order form
public void inorder(Node node){

if(node!=null){
inorder(node.left);
//Print node value
System.out.print("  "+node.data);
inorder(node.right);
}

}
public static void main(String[] args) {
MyHeap obj = new MyHeap();
/*   Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \
6       2
/
1
*/

//Insertion of binary tree nodes
obj.root           =new Node(17);
obj.root.left       =new Node(15);
obj.root.right      =new Node(16);
obj.root.right.right =new Node(10);
obj.root.right.left =new Node(8);
obj.root.left.left =new Node(9);
obj.root.left.left.left  =new Node(6);
obj.root.left.right =new Node(7);
obj.root.left.right.right =new Node(2);
obj.root.left.right.right.left=new Node(1);
obj.inorder(obj.root);
if(obj.is_max_heap(obj.root)==true)
{
System.out.print("\n Max Heap Binary Tree \n");
}
else
{
System.out.print(" Not a Max Heap Binary Tree \n");
}

/*   Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \       \
6       2       20
/
1
*/
obj.root.right.right.right      =new Node(20);
obj.inorder(obj.root);
if(obj.is_max_heap(obj.root)==true)
{
System.out.print("\n Max Heap Binary Tree \n");
}
else
{
System.out.print("\n Not a Max Heap Binary Tree \n");
}

}
}```
```

#### Output

`````` 6 9 15 7 1 2 17 8 16 10
Max Heap Binary Tree
6 9 15 7 1 2 17 8 16 10 20
Not a Max Heap Binary Tree``````
``````/*
C# Program
Check whether binary tree is form of max heap
*/
using System;

//Structure of Binary Tree node
public class Node {
public int data;
public Node left;
public Node right;
//make a tree node
public Node(int data) {
//assign field values
this.data = data;
left = null;
right = null;
}
}
public class MyHeap {
public Node root;
public MyHeap() {
root = null;
}
//Check that given binary tree is form of max heap or not
public Boolean is_max_heap(Node root) {
if (root != null) {
if (root.left != null && root.left.data > root.data || root.right != null && root.right.data > root.data) {
return false;
}
if (is_max_heap(root.left) == true && is_max_heap(root.right) == true) {
return true;
}
return false;
}
return true;
}
//Display tree elements in order form
public void inorder(Node node) {
if (node != null) {
inorder(node.left);
Console.Write(" " + node.data);
inorder(node.right);
}
}
public static void Main(String[] args) {
MyHeap obj = new MyHeap();
/*   Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \
6       2
/
1
*/
//Insertion of binary tree nodes
obj.root = new Node(17);
obj.root.left = new Node(15);
obj.root.right = new Node(16);
obj.root.right.right = new Node(10);
obj.root.right.left = new Node(8);
obj.root.left.left = new Node(9);
obj.root.left.left.left = new Node(6);
obj.root.left.right = new Node(7);
obj.root.left.right.right = new Node(2);
obj.root.left.right.right.left = new Node(1);
obj.inorder(obj.root);
if (obj.is_max_heap(obj.root) == true) {
Console.Write("\n Max Heap Binary Tree \n");
} else {
Console.Write(" Not a Max Heap Binary Tree \n");
}
/*   Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \       \
6       2       20
/
1
*/
obj.root.right.right.right = new Node(20);
obj.inorder(obj.root);
if (obj.is_max_heap(obj.root) == true) {
Console.Write("\n Max Heap Binary Tree \n");
} else {
Console.Write("\n Not a Max Heap Binary Tree \n");
}
}
}```
```

#### Output

`````` 6 9 15 7 1 2 17 8 16 10
Max Heap Binary Tree
6 9 15 7 1 2 17 8 16 10 20
Not a Max Heap Binary Tree``````
``````<?php
/*
Php Program
Check whether binary tree is form of max heap
*/
//Structure of Binary Tree node
class Node {
public \$data;
public \$left;
public \$right;
//make a tree node

function __construct(\$data) {
//assign field values
\$this->data = \$data;
\$this->left = null;
\$this->right = null;
}
}
class MyHeap {
public \$root;

function __construct() {
\$this->root = null;
}
//Check that given binary tree is form of max heap or not

public 	function is_max_heap(\$root) {
if (\$root != null) {
if (\$root->left != null && \$root->left->data > \$root->data || \$root->right != null && \$root->right->data > \$root->data) {
return false;
}
if (\$this->is_max_heap(\$root->left) == true && \$this->is_max_heap(\$root->right) == true) {
return true;
}
return false;
}
return true;
}
//Display tree elements in order form

public 	function inorder(\$node) {
if (\$node != null) {
\$this->inorder(\$node->left);
//Print node value

echo(" ". \$node->data);
\$this->inorder(\$node->right);
}
}
}

function main() {
\$obj = new MyHeap();
/*  Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \
6       2
/
1
*/
//Insertion of binary tree nodes
\$obj->root = new Node(17);
\$obj->root->left = new Node(15);
\$obj->root->right = new Node(16);
\$obj->root->right->right = new Node(10);
\$obj->root->right->left = new Node(8);
\$obj->root->left->left = new Node(9);
\$obj->root->left->left->left = new Node(6);
\$obj->root->left->right = new Node(7);
\$obj->root->left->right->right = new Node(2);
\$obj->root->left->right->right->left = new Node(1);
\$obj->inorder(\$obj->root);
if (
\$obj->is_max_heap(\$obj->root) == true) {
echo("\n Max Heap Binary Tree \n");
} else {
echo(" Not a Max Heap Binary Tree \n");
}
/*  Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \       \
6       2       20
/
1
*/
\$obj->root->right->right->right = new Node(20);
\$obj->inorder(\$obj->root);
if (
\$obj->is_max_heap(\$obj->root) == true) {
echo("\n Max Heap Binary Tree \n");
} else {
echo("\n Not a Max Heap Binary Tree \n");
}

}
main();```
```

#### Output

`````` 6 9 15 7 1 2 17 8 16 10
Max Heap Binary Tree
6 9 15 7 1 2 17 8 16 10 20
Not a Max Heap Binary Tree``````
``````/*
Node Js Program
Check whether binary tree is form of max heap
*/
//Structure of Binary Tree node
class Node {

//make a tree node
constructor(data) {
//assign field values
this.data = data;
this.left = null;
this.right = null;
}
}
class MyHeap {
constructor() {
this.root = null;
}
//Check that given binary tree is form of max heap or not
is_max_heap(root) {
if (root != null) {
if (root.left != null && root.left.data > root.data || root.right != null && root.right.data > root.data) {
return false;
}

if (this.is_max_heap(root.left) == true && this.is_max_heap(root.right) == true) {
return true;
}

return false;
}

return true;
}

//Display tree elements in order form
inorder(node) {
if (node != null) {
this.inorder(node.left);
//Print node value

process.stdout.write(" " + node.data);
this.inorder(node.right);
}
}
}

function main(args) {
var obj = new MyHeap();
/*  Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \
6       2
/
1
*/
//Insertion of binary tree nodes
obj.root = new Node(17);
obj.root.left = new Node(15);
obj.root.right = new Node(16);
obj.root.right.right = new Node(10);
obj.root.right.left = new Node(8);
obj.root.left.left = new Node(9);
obj.root.left.left.left = new Node(6);
obj.root.left.right = new Node(7);
obj.root.left.right.right = new Node(2);
obj.root.left.right.right.left = new Node(1);
obj.inorder(obj.root);
if (obj.is_max_heap(obj.root) == true) {
process.stdout.write("\n Max Heap Binary Tree \n");
} else {
process.stdout.write(" Not a Max Heap Binary Tree \n");
}

/*  Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \       \
6       2       20
/
1
*/
obj.root.right.right.right = new Node(20);
obj.inorder(obj.root);
if (obj.is_max_heap(obj.root) == true) {
process.stdout.write("\n Max Heap Binary Tree \n");
} else {
process.stdout.write("\n Not a Max Heap Binary Tree \n");
}
}

main();```
```

#### Output

`````` 6 9 15 7 1 2 17 8 16 10
Max Heap Binary Tree
6 9 15 7 1 2 17 8 16 10 20
Not a Max Heap Binary Tree``````
``````# Python 3 Program
# Check whether binary tree is form of max heap
# Structure of Binary Tree node
class Node :

# make a tree node

def __init__(self, data) :
# assign field values
self.data = data
self.left = None
self.right = None

class MyHeap :

def __init__(self) :
self.root = None

# Check that given binary tree is form of max heap or not
def is_max_heap(self, root) :
if (root != None) :
if (root.left != None and root.left.data > root.data or root.right != None and root.right.data > root.data) :
return False

if (self.is_max_heap(root.left) == True and self.is_max_heap(root.right) == True) :
return True

return False

return True

# Display tree elements in order form
def inorder(self, node) :
if (node != None) :
self.inorder(node.left)
print(" ", node.data, end = "")
self.inorder(node.right)

def main() :
obj = MyHeap()
#  Make A Binary Tree
#     -----------------------
#                17
#              /   \
#             15     16
#            / \    / \
#           9   7  8   10
#          /     \
#         6       2
#                /
#               1
#
# Insertion of binary tree nodes
obj.root = Node(17)
obj.root.left = Node(15)
obj.root.right = Node(16)
obj.root.right.right = Node(10)
obj.root.right.left = Node(8)
obj.root.left.left = Node(9)
obj.root.left.left.left = Node(6)
obj.root.left.right = Node(7)
obj.root.left.right.right = Node(2)
obj.root.left.right.right.left = Node(1)
obj.inorder(obj.root)
if (obj.is_max_heap(obj.root) == True) :
print("\n Max Heap Binary Tree \n", end = "")
else :
print(" Not a Max Heap Binary Tree \n", end = "")

# Make A Binary Tree
#     -----------------------
#                17
#              /   \
#             15     16
#            / \    / \
#           9   7  8   10
#          /     \       \
#         6       2       20
#                /
#               1
#
obj.root.right.right.right = Node(20)
obj.inorder(obj.root)
if (obj.is_max_heap(obj.root) == True) :
print("\n Max Heap Binary Tree \n", end = "")
else :
print("\n Not a Max Heap Binary Tree \n", end = "")

if __name__ == "__main__":
main()```
```

#### Output

``````  6  9  15  7  1  2  17  8  16  10
Max Heap Binary Tree
6  9  15  7  1  2  17  8  16  10  20
Not a Max Heap Binary Tree``````
``````# Ruby Program
# Check whether binary tree is form of max heap

# Structure of Binary Tree node
class Node
# Define the accessor and reader of class Node
attr_accessor :data, :left, :right
# make a tree node
def initialize(data)
# assign field values
self.data = data
@left = nil
@right = nil
end
end

class MyHeap
# Define the accessor and reader of class MyHeap
attr_accessor :root
def initialize()
@root = nil
end
# Check that given binary tree is form of max heap or not
def is_max_heap(root)
if (root != nil)
if (root.left != nil && root.left.data > root.data || root.right != nil && root.right.data > root.data)
return false
end
if (self.is_max_heap(root.left) == true && self.is_max_heap(root.right) == true)
return true
end
return false
end
return true
end
# Display tree elements in order form
def inorder(node)
if (node != nil)
self.inorder(node.left)
# Print node value

print(" ", node.data)
self.inorder(node.right)
end
end
end
def main()
obj = MyHeap.new()
#  Make A Binary Tree
#     -----------------------
#                17
#              /   \
#             15     16
#            / \    / \
#           9   7  8   10
#          /     \
#         6       2
#                /
#               1
#
# Insertion of binary tree nodes
obj.root = Node.new(17)
obj.root.left = Node.new(15)
obj.root.right = Node.new(16)
obj.root.right.right = Node.new(10)
obj.root.right.left = Node.new(8)
obj.root.left.left = Node.new(9)
obj.root.left.left.left = Node.new(6)
obj.root.left.right = Node.new(7)
obj.root.left.right.right = Node.new(2)
obj.root.left.right.right.left = Node.new(1)
obj.inorder(obj.root)
if (obj.is_max_heap(obj.root) == true)
print("\n Max Heap Binary Tree \n")
else
print(" Not a Max Heap Binary Tree \n")
end
#   Make A Binary Tree
#     -----------------------
#                17
#              /   \
#             15     16
#            / \    / \
#           9   7  8   10
#          /     \       \
#         6       2       20
#                /
#               1
#
obj.root.right.right.right = Node.new(20)
obj.inorder(obj.root)
if (obj.is_max_heap(obj.root) == true)
print("\n Max Heap Binary Tree \n")
else
print("\n Not a Max Heap Binary Tree \n")
end
end

main()```
```

#### Output

`````` 6 9 15 7 1 2 17 8 16 10
Max Heap Binary Tree
6 9 15 7 1 2 17 8 16 10 20
Not a Max Heap Binary Tree
``````
``````/*
Scala Program
Check whether binary tree is form of max heap
*/
//Structure of Binary Tree node
class Node(var data: Int,var left: Node,var right: Node) {
//make a tree node
def this(data: Int) {
//assign field values
this(data, null,null);
}
}
class MyHeap(var root: Node) {

def this() {
this(null);
}
//Check that given binary tree is form of max heap or not
def is_max_heap(root: Node): Boolean = {
if (root != null) {
if (root.left != null && root.left.data > root.data || root.right != null && root.right.data > root.data) {
return false;
}
if (this.is_max_heap(root.left) == true && this.is_max_heap(root.right) == true) {
return true;
}
return false;
}
return true;
}
//Display tree elements in order form
def inorder(node: Node): Unit = {
if (node != null) {
this.inorder(node.left);

//Print node value
print(" " + node.data);
this.inorder(node.right);
}
}
}
object Main {
def main(args: Array[String]): Unit = {
val obj: MyHeap = new MyHeap();

/*   Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \
6       2
/
1
*/
//Insertion of binary tree nodes
obj.root = new Node(17);
obj.root.left = new Node(15);
obj.root.right = new Node(16);
obj.root.right.right = new Node(10);
obj.root.right.left = new Node(8);
obj.root.left.left = new Node(9);
obj.root.left.left.left = new Node(6);
obj.root.left.right = new Node(7);
obj.root.left.right.right = new Node(2);
obj.root.left.right.right.left = new Node(1);
obj.inorder(obj.root);

if (obj.is_max_heap(obj.root) == true) {
print("\n Max Heap Binary Tree \n");
} else {
print(" Not a Max Heap Binary Tree \n");
}
/*   Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \       \
6       2       20
/
1
*/
obj.root.right.right.right = new Node(20);
obj.inorder(obj.root);

if (obj.is_max_heap(obj.root) == true) {
print("\n Max Heap Binary Tree \n");
} else {
print("\n Not a Max Heap Binary Tree \n");
}
}
}```
```

#### Output

`````` 6 9 15 7 1 2 17 8 16 10
Max Heap Binary Tree
6 9 15 7 1 2 17 8 16 10 20
Not a Max Heap Binary Tree``````
``````/*
Swift Program
Check whether binary tree is form of max heap
*/
//Structure of Binary Tree node
class Node {
var data: Int;
var left: Node?;
var right: Node?;
//make a tree node
init(_ data: Int) {
//assign field values
self.data = data;
self.left = nil;
self.right = nil;
}
}
class MyHeap {
var root: Node?;
init() {
self.root = nil;
}
//Check that given binary tree is form of max heap or not
func is_max_heap(_ root: Node?) -> Bool {
if (root != nil) {
if (root!.left != nil && root!.left!.data > root!.data || root!.right != nil && root!.right!.data > root!.data) {
return false;
}
if (self.is_max_heap(root!.left) == true && self.is_max_heap(root!.right) == true) {
return true;
}
return false;
}
return true;
}
//Display tree elements in order form
func inorder(_ node: Node?) {
if (node != nil) {
self.inorder(node!.left);
print(" ", node!.data, terminator: "");
self.inorder(node!.right);
}
}
}
func main() {
let obj: MyHeap = MyHeap();
/*   Make A Binary Tree
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \
6       2
/
1
*/
//Insertion of binary tree nodes
obj.root = Node(17);
obj.root!.left = Node(15);
obj.root!.right = Node(16);
obj.root!.right!.right = Node(10);
obj.root!.right!.left = Node(8);
obj.root!.left!.left = Node(9);
obj.root!.left!.left!.left = Node(6);
obj.root!.left!.right = Node(7);
obj.root!.left!.right!.right = Node(2);
obj.root!.left!.right!.right!.left = Node(1);
obj.inorder(obj.root);
if (obj.is_max_heap(obj.root) == true) {
print("\n Max Heap Binary Tree \n", terminator: "");
} else {
print(" Not a Max Heap Binary Tree \n", terminator: "");
}
-----------------------
17
/   \
15     16
/ \    / \
9   7  8   10
/     \       \
6       2       20
/
1
*/
obj.root!.right!.right!.right = Node(20);
obj.inorder(obj.root);
if (obj.is_max_heap(obj.root) == true) {
print("\n Max Heap Binary Tree \n", terminator: "");
} else {
print("\n Not a Max Heap Binary Tree \n", terminator: "");
}
}
main();```
```

#### Output

``````  6  9  15  7  1  2  17  8  16  10
Max Heap Binary Tree
6  9  15  7  1  2  17  8  16  10  20
Not a Max Heap Binary Tree``````

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