Check if a given array is form of max heap

Here given code implementation process.

//C Program
//Check whether array is form of max heap

#include <stdio.h>


int heap(int arr[],int size,int root)
{
  //Get the location of left and right child
  int left  = 2*root+1;
  int right = 2*root+2;
 
  if(left < size &&  arr[left] > arr[root] || 
    (right < size && arr[right] > arr[root]))
  {
    //Maximum heap properties are not satisfied
    return 0;
  }
  return 1;
  
}
//Display array elements
void print_data(int arr[],int size)
{
 
  for(int i = 0; i < size; i++)
  {
    printf("%3d",arr[i] );
  }
  printf("\n");
}
//Check if a given array is form of max heap or not
int is_max_heap(int arr[],int size)
{
  int status = 1;

  for (int i = (size/2)-1 ; i >= 0 && status==1; i--)
  {
    status = heap(arr,size,i);

  }
  return status;

}
 int main()
 {

  //Define collection of array elements
  int arr[] = {15, 12, 10,  9,  2,  5,  7,  6, 3};

  //Get the size of array
  int size = sizeof(arr)/sizeof(arr[0]);

  //Display array elements
  print_data(arr,size);

  /*
           15
         /    \ 
        12     10
       / \     / \
      9   2   5   7
     / \
    6  3
  */
  //Check max heap properties
  if(is_max_heap(arr,size)==1)
  {
    printf(" Yes\n");
  }
  else
  {
    printf(" No\n");
  }
  
  return 0;
}

Output

 15 12 10  9  2  5  7  6  3
 Yes
#include<iostream>

using namespace std;

/*
  C++ Program
  Check whether array is form of max heap
*/
class MyHeap {
	public:
    bool heap(int arr[], int size, int root) {
      //Get the location of left and right child
      int left = 2 *root + 1;
      int right = 2 *root + 2;
      if (left < size && arr[left] > arr[root] || 
          (right < size && arr[right] > arr[root])) {
        return
        //Maximum heap properties are not satisfied
        false;
      }
      return true;
    }
	//Display array elements
	void print_data(int arr[], int size) {
		for (int i = 0; i < size; i++) {
			cout << " " << arr[i];
		}
		cout << "\n";
	}
	//Check if a given array is form of max heap or not
	bool is_max_heap(int arr[], int size) {
		bool status = true;
		for (int i = (size / 2) - 1; i >= 0 && status == true; i--) {
			status = this->heap(arr, size, i);
		}
		return status;
	}
};
int main() {
	MyHeap obj = MyHeap();
	int arr[] = {
		15,
		12,
		10,
		9,
		2,
		5,
		7,
		6,
		3
	};
	//Get the size of array
	int size = sizeof(arr) / sizeof(arr[0]);
	//Display array elements
	obj.print_data(arr, size);
	/*
	             15
	           /    \ 
	          12     10
	         / \     / \
	        9   2   5   7
	       / \
	      6  3
	    */
	//Check max heap properties

	if (obj.is_max_heap(arr, size) == true) {
		cout << " Yes\n";
	} else {
		cout << " No\n";
	}
	return 0;
}

Output

 15 12 10 9 2 5 7 6 3
 Yes
/*
  Java Program
  Check whether array is form of max heap
*/
public class MyHeap {

  public boolean heap(int []arr,int size,int root)
  {
    //Get the location of left and right child
    int left  = 2*root+1;
    int right = 2*root+2;
   
    if(left < size &&  arr[left] > arr[root] || 
      (right < size && arr[right] > arr[root]))
    {
      //Maximum heap properties are not satisfied
      return false;
    }
    return true;
    
  }
  //Display array elements
  public void print_data(int []arr,int size)
  {
   
    for(int i = 0; i < size; i++)
    {
      System.out.print("  "+arr[i] );
    }
    System.out.print("\n");
  }
  //Check if a given array is form of max heap or not
  public boolean is_max_heap(int []arr,int size)
  {
    boolean status = true;

    for (int i = (size/2)-1 ; i >= 0 && status==true; i--)
    {
      status = heap(arr,size,i);

    }
    return status;

  }
  public static void main(String[] args) {
    
    MyHeap obj = new MyHeap();
    
    //Define Collection of array elements
    int []arr = {15, 12, 10,  9,  2,  5,  7,  6, 3};

    //Get the size of array
    int size = arr.length;

    //Display array elements
    obj.print_data(arr,size);

    /*
             15
           /    \ 
          12     10
         / \     / \
        9   2   5   7
       / \
      6  3
    */
    //Check max heap properties
    if(obj.is_max_heap(arr,size)==true)
    {
      System.out.print("  Yes\n");
    }
    else
    {
      System.out.print("  No\n");
    }
  }
}

Output

 15 12 10 9 2 5 7 6 3
 Yes
/*
  C# Program
  Check whether array is form of max heap
*/
using System;

public class MyHeap {
	public Boolean heap(int[] arr, int size, int root) {
		//Get the location of left and right child
		int left = 2 * root + 1;
		int right = 2 * root + 2;
		if (left < size && arr[left] > arr[root] || 
            (right < size && arr[right] > arr[root])) {
			return false;
		}
		return true;
	}
	//Display array elements
	public void print_data(int[] arr, int size) {
		for (int i = 0; i < size; i++) {
			Console.Write(" " + arr[i]);
		}
		Console.Write("\n");
	}
	//Check if a given array is form of max heap or not
	public Boolean is_max_heap(int[] arr, int size) {
		Boolean status = true;
		for (int i = (size / 2) - 1; i >= 0 && status == true; i--) {
			status = heap(arr, size, i);
		}
		return status;
	}
	public static void Main(String[] args) {
		MyHeap obj = new MyHeap();
		int[]
		//Define Collection of array elements
		arr = {
			15,
			12,
			10,
			9,
			2,
			5,
			7,
			6,
			3
		};
		//Get the size of array
		int size = arr.Length;
		obj.print_data(arr, size);
		/*
		             15
		           /    \ 
		          12     10
		         / \     / \
		        9   2   5   7
		       / \
		      6  3
		    */
		//Check max heap properties

		if (obj.is_max_heap(arr, size) == true) {
			Console.Write(" Yes\n");
		} else {
			Console.Write(" No\n");
		}
	}
}

Output

 15 12 10 9 2 5 7 6 3
 Yes
<?php
/*
  Php Program
  Check whether array is form of max heap
*/
class MyHeap {
	public 	function heap($arr, $size, $root) {
		//Get the location of left and right child
		$left = 2 *$root + 1;
		$right = 2 *$root + 2;
		if ($left < $size && $arr[$left] > $arr[$root] || 
            ($right < $size && $arr[$right] > $arr[$root])) {
			return false;
		}
		return true;
	}
	//Display array elements

	public 	function print_data($arr, $size) {
		for ($i = 0; $i < $size; $i++) {
			echo(" ". $arr[$i]);
		}
		echo("\n");
	}
	//Check if a given array is form of max heap or not

	public 	function is_max_heap($arr, $size) {
		$status = true;
		for ($i = (intval($size / 2)) - 1; $i >= 0 && $status == true; $i--) {
			$status = $this->heap($arr, $size, $i);
		}
		return $status;
	}
}

function main() {
	$obj = new MyHeap();
	//Define Collection of array elements
	$arr = array(15, 12, 10, 9, 2, 5, 7, 6, 3);
	//Get the size of array
	$size = count($arr);
	//Display array elements

	$obj->print_data($arr, $size);
	/*
	             15
	           /    \ 
	          12     10
	         / \     / \
	        9   2   5   7
	       / \
	      6  3
	    */
	//Check max heap properties

	if (
		$obj->is_max_heap($arr, $size) == true) {
		echo(" Yes\n");
	} else {
		echo(" No\n");
	}

}
main();

Output

 15 12 10 9 2 5 7 6 3
 Yes
/*
  Node Js Program
  Check whether array is form of max heap
*/
class MyHeap {
	heap(arr, size, root) {
		//Get the location of left and right child
		var left = 2 *root + 1;
		var right = 2 *root + 2;
		if (left < size && arr[left] > arr[root] || 
            (right < size && arr[right] > arr[root])) {
			return false;
		}

		return true;
	}

	//Display array elements
	print_data(arr, size) {
		for (var i = 0; i < size; i++) {
			process.stdout.write(" " + arr[i]);
		}

		process.stdout.write("\n");
	}

	//Check if a given array is form of max heap or not
	is_max_heap(arr, size) {
		var status = true;
		for (var i = (parseInt(size / 2)) - 1; i >= 0 && status == true; i--) {
			status = this.heap(arr, size, i);
		}

		return status;
	}
}

function main(args) {
	var obj = new MyHeap();
	//Define Collection of array elements
	var arr = [15, 12, 10, 9, 2, 5, 7, 6, 3];
	//Get the size of array
	var size = arr.length;
	//Display array elements
	obj.print_data(arr, size);
	/*
	             15
	           /    \ 
	          12     10
	         / \     / \
	        9   2   5   7
	       / \
	      6  3
	    */
	//Check max heap properties

	if (obj.is_max_heap(arr, size) == true) {
		process.stdout.write(" Yes\n");
	} else {
		process.stdout.write(" No\n");
	}
}

main();

Output

 15 12 10 9 2 5 7 6 3
 Yes
# Python 3 Program
# Check whether array is form of max heap
class MyHeap :
	def heap(self, arr, size, root) :
		# Get the location of left and right child
		left = 2 * root + 1
		right = 2 * root + 2
		if (left < size and arr[left] > arr[root] or(right < size and arr[right] > arr[root])) :
			return False
		
		return True
	
	# Display array elements
	def print_data(self, arr, size) :
		i = 0
		while (i < size) :
			print(" ", arr[i], end = "")
			i += 1
		
		print("\n", end = "")
	
	# Check if a given array is form of max heap or not
	def is_max_heap(self, arr, size) :
		status = True
		i = (int(size / 2)) - 1
		while (i >= 0 and status == True) :
			status = self.heap(arr, size, i)
			i -= 1
		
		return status
	

def main() :
	obj = MyHeap()
	# Define Collection of array elements
	arr = [15, 12, 10, 9, 2, 5, 7, 6, 3]
	# Get the size of array
	size = len(arr)
	# Display array elements
	obj.print_data(arr, size)
	
	#              15
	#            /    \ 
	#           12     10
	#          / \     / \
	#         9   2   5   7
	#        / \
	#       6  3
	#     
	# Check max heap properties

	if (obj.is_max_heap(arr, size) == True) :
		print(" Yes\n", end = "")
	else :
		print(" No\n", end = "")
	


if __name__ == "__main__":
	main()

Output

  15  12  10  9  2  5  7  6  3
 Yes
#   Ruby Program
#   Check whether array is form of max heap
class MyHeap 
	def heap(arr, size, root) 
		 # Get the location of left and right child
		left = 2 * root + 1
		right = 2 * root + 2
		if (left < size && arr[left] > arr[root] || 
            (right < size && arr[right] > arr[root])) 
			return false
		end
		return true
	end
	 # Display array elements
	def print_data(arr, size) 
		i = 0
		while (i < size) 
			print(" ", arr[i])
			i += 1
		end
		print("\n")
	end
	 # Check if a given array is form of max heap or not
	def is_max_heap(arr, size) 
		status = true
		i = (size / 2) - 1
		while (i >= 0 && status == true) 
			status = self.heap(arr, size, i)
			i -= 1
		end
		return status
	end
end
def main() 
	obj = MyHeap.new()
	 # Define Collection of array elements
	arr = [15, 12, 10, 9, 2, 5, 7, 6, 3]
	 # Get the size of array
	size = arr.length
	 # Display array elements
	obj.print_data(arr, size)
	
	#              15
	#            /    \ 
	#           12     10
	#          / \     / \
	#         9   2   5   7
	#        / \
	#       6  3
	#     
	 # Check max heap properties

	if (obj.is_max_heap(arr, size) == true) 
		print(" Yes\n")
	else 
		print(" No\n")
	end
end
main()

Output

 15 12 10 9 2 5 7 6 3
 Yes
/*
  Scala Program
  Check whether array is form of max heap
*/
class MyHeap {
	def heap(arr: Array[Int], size: Int, root: Int): Boolean = {
		//Get the location of left and right child
		val left: Int = 2 * root + 1;
		val right: Int = 2 * root + 2;

		if (left < size && arr(left) > arr(root) || 
          (right < size && arr(right) > arr(root))) {
			return false;
		}
		return true;
	}
	//Display array elements
	def print_data(arr: Array[Int], size: Int): Unit = {
		var i: Int = 0;
		while (i < size) {
			print(" " + arr(i));
			i += 1;
		}
		print("\n");
	}
	//Check if a given array is form of max heap or not
	def is_max_heap(arr: Array[Int], size: Int): Boolean = {
		var status: Boolean = true;
		var i: Int = ((size / 2).toInt) - 1;
		while (i >= 0 && status == true) {
			status = this.heap(arr, size, i);
			i -= 1;
		}
		return status;
	}
}
object Main {
	def main(args: Array[String]): Unit = {
		val obj: MyHeap = new MyHeap();

		//Define Collection of array elements
		val arr: Array[Int] = Array(15, 12, 10, 9, 2, 5, 7, 6, 3);

		//Get the size of array
		val size: Int = arr.length;

		//Display array elements
		obj.print_data(arr, size);

		/*
		             15
		           /    \ 
		          12     10
		         / \     / \
		        9   2   5   7
		       / \
		      6  3
		    */
		//Check max heap properties

		if (obj.is_max_heap(arr, size) == true) {
			print(" Yes\n");
		} else {
			print(" No\n");
		}
	}
}

Output

 15 12 10 9 2 5 7 6 3
 Yes
/*
  Swift Program
  Check whether array is form of max heap
*/
class MyHeap {
	func heap(_ arr: [Int], _ size: Int, _ root: Int) -> Bool {
		//Get the location of left and right child
		let left: Int = 2 * root + 1;
		let right: Int = 2 * root + 2;
		if (left < size && arr[left] > arr[root] || 
            (right < size && arr[right] > arr[root])) {
			return false;
		}
		return true;
	}
	//Display array elements
	func print_data(_ arr: [Int], _ size: Int) {
		var i: Int = 0;
		while (i < size) {
			print(" ", arr[i], terminator: "");
			i += 1;
		}
		print("\n", terminator: "");
	}
	//Check if a given array is form of max heap or not
	func is_max_heap(_ arr: [Int], _ size: Int) -> Bool {
		var status: Bool = true;
		var i: Int = (size / 2) - 1;
		while (i >= 0 && status == true) {
			status = self.heap(arr, size, i);
			i -= 1;
		}
		return status;
	}
}
func main() {
	let obj: MyHeap = MyHeap();
	//Define Collection of array elements
	let arr: [Int] = [15, 12, 10, 9, 2, 5, 7, 6, 3];
	//Get the size of array
	let size: Int = arr.count;
	//Display array elements
	obj.print_data(arr, size);
	/*
	             15
	           /    \ 
	          12     10
	         / \     / \
	        9   2   5   7
	       / \
	      6  3
	    */
	//Check max heap properties

	if (obj.is_max_heap(arr, size) == true) {
		print("  Yes");
	} else {
		print("  No");
	}
}
main();

Output

  15  12  10  9  2  5  7  6  3
  Yes


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