Merge two Binary Min Heap Tree

Here given code implementation process.

/*
  C++ program
  Merge two Binary Min Heap Tree
*/
//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 MinHeap {
  public:

  //This is use to store information of number of nodes in Min heap
  int size;
  Node *root;
  MinHeap() {
    this->root = NULL;
    this->size = 0;
  }
  //Get height of insert new node
  int insert_height() {
    int i = 1;
    int sum = 0;
    while (this->size > sum + (1 << i)) {
      sum += (1 << i);
      i++;
    }
    return i;
  }
  void swap_node(Node *first, Node *second) {
    int key = first->key;
    first->key = second->key;
    second->key = key;
  }
  //Arrange node key
  void arrange_node(Node *root) {
    if (root->left != NULL && root->left->key < root->key) {
      this->swap_node(root, root->left);
    }
    if (root->right != NULL && root->right->key < root->key) {
      this->swap_node(root, root->right);
    }
  }
  bool add_node(Node *root, int height, int level, Node *newNode) {
    if (level >= height) {
      return false;
    }
    if (root != NULL) {
      if (level - 1 == height && root->left == NULL || root->right == NULL) {
        if (root->left == NULL) {
          root->left = newNode;
        } else {
          root->right = newNode;
        }
        this->arrange_node(root);
        return true;
      }
      if (this->add_node(root->left, height, level + 1, newNode) || 
                this->add_node(root->right, height, level + 1, newNode)) {
        //Check effect of new inserted node
        this->arrange_node(root);
        return true;
      }
    }
    return false;
  }
  //Handles the request to new inserting node
  void insert(int key) {
    if (this->root == NULL) {
      this->root = new Node(key);
    } else
    if (this->root->left == NULL) {
      this->root->left = new Node(key);
      this->arrange_node(this->root);
    } else
    if (this->root->right == NULL) {
      this->root->right = new Node(key);
      this->arrange_node(this->root);
    } else {
      int height = this->insert_height();
      Node *newNode = new Node(key);
      this->add_node(this->root, height, 0, newNode);
    }
    this->size++;
  }
  Node* combine(MinHeap first, MinHeap second, Node *root) {
    if (root != NULL) {
      root->left = first.combine(first, second, root->left);
      root->right = first.combine(first, second, root->right);
      if (root->left == NULL && root->right == NULL) {
        int height = first.insert_height();
        //add node in first tree
        first.add_node(first.root, height, 0, root);
        first.size++;
        second.size--;
        return NULL;
      }
    }
    return root;
  }
  void merge(MinHeap heap2) {
    if (this->root != NULL && heap2.root != NULL) {
      if (this->size > heap2.size) {
        cout << "\n\n Merging of heap 2 in heap 1 ";
        //add node element in first tree
       // cout<<this->root<<endl;
        heap2.root = this->combine(*this,heap2, heap2.root);
      } else {
        cout << "\n\n Merging of heap 1 in heap 2 ";
        //add node element in second tree
        this->root = this->combine(heap2,*this, this->root);
        //   cout<<heap2.root->key<<endl;
      }
    }
  }
  void preorder(Node *root) {
    if (root != NULL) {
      cout << " " << root->key;
      this->preorder(root->left);
      this->preorder(root->right);
    }
  }
  void inorder(Node *root) {
    if (root != NULL) {
      this->inorder(root->left);
      cout << " " << root->key;
      this->inorder(root->right);
    }
  }
  void postorder(Node *root) {
    if (root != NULL) {
      this->postorder(root->left);
      this->postorder(root->right);
      cout << " " << root->key;
    }
  }
  void print_data()
  {
    cout << "\nPreorder : \n";
    preorder(this->root);
    cout << "\nInorder : \n";
    inorder(this->root);
    cout << "\nPostorder : \n";
    postorder(this->root);
  }
};
int main() {
  MinHeap heap1 = MinHeap();

  //Construct first Min heap tree
  heap1.insert(8);
  heap1.insert(10);
  heap1.insert(14);
  heap1.insert(13);
  heap1.insert(11);
  heap1.insert(12);
  /*After insert element*/
  /*
               8
             /    \
            10     12 
          /  \    /  
         13   11 14  
     
    Preorder : 
      8  10  13  11  12  14
    Inorder : 
      13  10  11  8  14  12
    Postorder : 
      13  11  10  14  12  8


      */
  MinHeap heap2 = MinHeap();
  //Construct second Min heap tree

  for (int i = 7; i > 0; i--) {
    heap2.insert(i);
  }
  /*After insert element*/
  /*
                1
             /    \
            /      \
           4        2 
         /   \     /  \
        7     5   6    3


    Preorder : 
      1  4  7  5  2  6  3
    Inorder : 
      7  4  5  1  6  2  3
    Postorder : 
      7  5  4  6  3  2  1

    */

  cout << "First heap element : \n";
  heap1.print_data();
  cout << "\n\nSecond heap element : \n";
  heap2.print_data();


  heap1.merge(heap2);

  cout << "\n After Merges ";
  /*After Merge element*/
  /*
                     1
                 /       \
                /         \
               4            2
             /   \         /  \
            7     5       6    3
           / \    /\     /  \
          13  11 10 14  12   8

         Preorder : 
            1  4  7  13  11  5  10  14  2  6  12  8  3
          Inorder : 
            13  7  11  4  10  5  14  1  12  6  8  2  3
          Postorder : 
            13  11  7  10  14  5  4  12  8  6  3  2  1
      */

  if (heap1.root != NULL) {
    cout << "\n\nFirst heap element : ";
    heap1.print_data();
  }
  if (heap2.root != NULL) {
    cout << "\n\nSecond heap element : \n";
    heap2.print_data();
  }
  return 0;
}

Output

First heap element :

Preorder :
 8 10 13 11 12 14
Inorder :
 13 10 11 8 14 12
Postorder :
 13 11 10 14 12 8

Second heap element :

Preorder :
 1 4 7 5 2 6 3
Inorder :
 7 4 5 1 6 2 3
Postorder :
 7 5 4 6 3 2 1

 Merging of heap 1 in heap 2
 After Merges

Second heap element :

Preorder :
 1 4 7 13 11 5 10 14 2 6 12 8 3
Inorder :
 13 7 11 4 10 5 14 1 12 6 8 2 3
Postorder :
 13 11 7 10 14 5 4 12 8 6 3 2 1
/*
  Java program
  Merge two Binary Min Heap Tree
*/
//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 MinHeap 
{ 
    //This is use to store information of number of nodes in Min heap
    public int size;

    public Node root; 

    public MinHeap()
    {
      root = null;

      size = 0;
    }

    //Get height of insert new node
    public int insert_height()
    {
      int i=1;

      int sum=0;

      while(this.size > sum+(1<<i) )
      {
        sum += (1<<i);
        i++;
      }
      return i;
    }
    public  void swap_node(Node first,Node second)
    {
      int key = first.key;

      first.key = second.key;
      second.key = key;
    }
    //Arrange node key
    public void arrange_node(Node root)
    {

      if(root.left!=null && root.left.key < root.key)
      {
        swap_node(root,root.left);
      }
      if(root.right!=null && root.right.key < root.key)
      {
        swap_node(root,root.right);
      }
    }
   public boolean  add_node(Node root, int height ,int level,Node newNode)
   {
     if(level >= height )
     {
      return false;
    }
    if(root != null)
    {

      if(level-1 == height && root.left == null || root.right == null)
      {
        if(root.left==null)
        {
          root.left=newNode;
        }
        else
        {
          root.right=newNode;
        }

        arrange_node(root);

        return true;
      }

      if(add_node(root.left, height, level+1,newNode) || add_node(root.right, height,level+1,newNode))
      {
          //Check effect of new inserted node
        arrange_node(root);

        return true;
      }


    }
    return false;
  }
  //Handles the request to new inserting node
  public void insert(int key)
  {

    if(root==null)
    {
      root=new Node(key);
    }
    else if(root.left==null)
    {
      root.left = new Node(key);
      arrange_node(root);

    }
    else if(root.right==null)
    {
      root.right = new Node(key);
      arrange_node(root);
    }
    else
    {
      int height = insert_height();
      Node newNode=new Node(key);
      add_node(root,height, 0,newNode);
    }
    this.size++;
  }
  public Node combine(MinHeap first,MinHeap second ,Node root)
  {

    if(root!=null)
    {
      root.left=combine(first,second,root.left);
      root.right=combine(first,second,root.right);

      if(root.left==null && root.right==null)
      {

        int height = first.insert_height();
          //add node in first tree
        add_node(first.root,height, 0,root);
        first.size++;
        second.size--;
        return null;
      }
    }
    return root;
  }
  public void merge(MinHeap heap2)
  {

    if(this.root !=null && heap2.root!=null)
    {
      if(this.size>heap2.size)
      {
        System.out.print("\n\n Merging of heap 2 in heap 1 ");
              //add node element in first tree
        heap2.root=combine(this,heap2,heap2.root);
      }
      else
      {
        System.out.print("\n\n Merging of heap 1 in heap 2 ");
              //add node element in second tree
        this.root=combine(heap2,this,this.root);
      }
    }
  }

  public void preorder(Node root)
  {
    if(root!=null)
    {
      System.out.print("  "+root.key);
      preorder(root.left);
      
      preorder(root.right);
    }
  }
  public void inorder(Node root)
  {
    if(root!=null)
    {

      inorder(root.left);
      System.out.print("  "+root.key);
      inorder(root.right);
    }
  }

  public void postorder(Node root)
  {
    if(root!=null)
    {

      postorder(root.left);

      postorder(root.right);
      System.out.print("  "+root.key);
    }
  }
  public void print_nodes()
  {
    System.out.print("\nPreorder : \n" );
    preorder(this.root);
    System.out.print("\nInorder : \n" );
    inorder(this.root);
    System.out.print("\nPostorder : \n" );
    postorder(this.root);
  }



  public static void main(String[] args) 
  {

    MinHeap heap1= new MinHeap();

     //Construct first Min heap tree
    heap1.insert(8);
    heap1.insert(10);
    heap1.insert(14);
    heap1.insert(13);
    heap1.insert(11);
    heap1.insert(12);

    /*After insert element*/

    /*
                 8
               /    \
              10     12 
            /  \    /  
           13   11 14  
       
      Preorder : 
        8  10  13  11  12  14
      Inorder : 
        13  10  11  8  14  12
      Postorder : 
        13  11  10  14  12  8


    */



    MinHeap heap2= new MinHeap();

    //Construct second Min heap tree
    for (int i=7;i> 0;i-- ) 
    {
      heap2.insert(i);
    }

    /*After insert element*/

    /*
                1
             /    \
            /      \
           4        2 
         /   \     /  \
        7     5   6    3


    Preorder : 
      1  4  7  5  2  6  3
    Inorder : 
      7  4  5  1  6  2  3
    Postorder : 
      7  5  4  6  3  2  1

    */

    System.out.print("First heap element : \n" );

    heap1.print_nodes();


    System.out.print("\n\nSecond heap element : \n" );
    heap2.print_nodes();



    heap1.merge(heap2);



    System.out.print("\n  After Merges ");


    /*After Merge element*/

    /*
                   1
               /       \
              /         \
             4            2
           /   \         /  \
          7     5       6    3
         / \    /\     /  \
        13  11 10 14  12   8

       Preorder : 
          1  4  7  13  11  5  10  14  2  6  12  8  3
        Inorder : 
          13  7  11  4  10  5  14  1  12  6  8  2  3
        Postorder : 
          13  11  7  10  14  5  4  12  8  6  3  2  1
    */
    if(heap1.root!=null)
    {
      System.out.print("\n\nFirst heap element : " );
      heap1.print_nodes();
    }    



    if(heap2.root!=null)
    {
      System.out.print("\n\nSecond heap element : \n" );
      heap2.print_nodes();
    }


  }
}

Output

First heap element :

Preorder :
 8 10 13 11 12 14
Inorder :
 13 10 11 8 14 12
Postorder :
 13 11 10 14 12 8

Second heap element :

Preorder :
 1 4 7 5 2 6 3
Inorder :
 7 4 5 1 6 2 3
Postorder :
 7 5 4 6 3 2 1

 Merging of heap 1 in heap 2
 After Merges

Second heap element :

Preorder :
 1 4 7 13 11 5 10 14 2 6 12 8 3
Inorder :
 13 7 11 4 10 5 14 1 12 6 8 2 3
Postorder :
 13 11 7 10 14 5 4 12 8 6 3 2 1
/*
  C# program
  Merge two Binary Min Heap Tree
*/
//Tree node
using System;
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 MinHeap {
	//This is use to store information of number of nodes in Min heap
	public int size;
	public Node root;
	public MinHeap() {
		root = null;
		size = 0;
	}
	//Get height of insert new node
	public int insert_height() {
		int i = 1;
		int sum = 0;
		while (this.size > sum + (1 << i)) {
			sum += (1 << i);
			i++;
		}
		return i;
	}
	public void swap_node(Node first, Node second) {
		int key = first.key;
		first.key = second.key;
		second.key = key;
	}
	//Arrange node key
	public void arrange_node(Node root) {
		if (root.left != null && root.left.key < root.key) {
			swap_node(root, root.left);
		}
		if (root.right != null && root.right.key < root.key) {
			swap_node(root, root.right);
		}
	}
	public Boolean add_node(Node root, int height, int level, Node newNode) {
		if (level >= height) {
			return false;
		}
		if (root != null) {
			if (level - 1 == height && root.left == null || root.right == null) {
				if (root.left == null) {
					root.left = newNode;
				} else {
					root.right = newNode;
				}
				arrange_node(root);
				return true;
			}
			if (add_node(root.left, height, level + 1, newNode) || add_node(root.right, height, level + 1, newNode)) {
				arrange_node(root);
				return true;
			}
		}
		return false;
	}
	//Handles the request to new inserting node
	public void insert(int key) {
		if (root == null) {
			root = new Node(key);
		} else
		if (root.left == null) {
			root.left = new Node(key);
			arrange_node(root);
		} else
		if (root.right == null) {
			root.right = new Node(key);
			arrange_node(root);
		} else {
			int height = insert_height();
			Node newNode = new Node(key);
			add_node(root, height, 0, newNode);
		}
		this.size++;
	}
	public Node combine(MinHeap first, MinHeap second, Node root) {
		if (root != null) {
			root.left = combine(first, second, root.left);
			root.right = combine(first, second, root.right);
			if (root.left == null && root.right == null) {
				int height = first.insert_height();
				add_node(first.root, height, 0, root);
				first.size++;
				second.size--;
				return null;
			}
		}
		return root;
	}
	public void merge(MinHeap heap2) {
		if (this.root != null && heap2.root != null) {
			if (this.size > heap2.size) {
				Console.Write("\n\n Merging of heap 2 in heap 1 ");
				//add node element in first tree
				heap2.root = combine(this, heap2, heap2.root);
			} else {
				Console.Write("\n\n Merging of heap 1 in heap 2 ");
				//add node element in second tree
				this.root = combine(heap2, this, this.root);
			}
		}
	}
	public void preorder(Node root) {
		if (root != null) {
			Console.Write(" " + root.key);
			preorder(root.left);
			preorder(root.right);
		}
	}
	public void inorder(Node root) {
		if (root != null) {
			inorder(root.left);
			Console.Write(" " + root.key);
			inorder(root.right);
		}
	}
	public void postorder(Node root) {
		if (root != null) {
			postorder(root.left);
			postorder(root.right);
			Console.Write(" " + root.key);
		}
	}
	public void print_nodes() {
		Console.Write("\nPreorder : \n");
		preorder(this.root);
		Console.Write("\nInorder : \n");
		inorder(this.root);
		Console.Write("\nPostorder : \n");
		postorder(this.root);
	}
	public static void Main(String[] args) {
		MinHeap heap1 = new MinHeap();
		heap1.insert(8);
		heap1.insert(10);
		heap1.insert(14);
		heap1.insert(13);
		heap1.insert(11);
		heap1.insert(12);
		/*After insert element*/
		/*
		                 8
		               /    \
		              10     12 
		            /  \    /  
		           13   11 14  
		       
		      Preorder : 
		        8  10  13  11  12  14
		      Inorder : 
		        13  10  11  8  14  12
		      Postorder : 
		        13  11  10  14  12  8


		    */
		MinHeap heap2 = new MinHeap();
		//Construct second Min heap tree

		for (int i = 7; i > 0; i--) {
			heap2.insert(i);
		}
		Console.Write("First heap element : \n");
		heap1.print_nodes();
		Console.Write("\n\nSecond heap element : \n");
		heap2.print_nodes();
		heap1.merge(heap2);
		Console.Write("\n After Merges ");
		/*After Merge element*/
		/*
		                   1
		               /       \
		              /         \
		             4            2
		           /   \         /  \
		          7     5       6    3
		         / \    /\     /  \
		        13  11 10 14  12   8

		       Preorder : 
		          1  4  7  13  11  5  10  14  2  6  12  8  3
		        Inorder : 
		          13  7  11  4  10  5  14  1  12  6  8  2  3
		        Postorder : 
		          13  11  7  10  14  5  4  12  8  6  3  2  1
		    */

		if (heap1.root != null) {
			Console.Write("\n\nFirst heap element : ");
			heap1.print_nodes();
		}
		if (heap2.root != null) {
			Console.Write("\n\nSecond heap element : \n");
			heap2.print_nodes();
		}
	}
}

Output

First heap element :

Preorder :
 8 10 13 11 12 14
Inorder :
 13 10 11 8 14 12
Postorder :
 13 11 10 14 12 8

Second heap element :

Preorder :
 1 4 7 5 2 6 3
Inorder :
 7 4 5 1 6 2 3
Postorder :
 7 5 4 6 3 2 1

 Merging of heap 1 in heap 2
 After Merges

Second heap element :

Preorder :
 1 4 7 13 11 5 10 14 2 6 12 8 3
Inorder :
 13 7 11 4 10 5 14 1 12 6 8 2 3
Postorder :
 13 11 7 10 14 5 4 12 8 6 3 2 1
<?php
/*
  Php program
  Merge two Binary Min Heap Tree
*/
//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 MinHeap {
	//This is use to store information of number of nodes in Min heap

	public $size;
	public $root;

	function __construct() {
		$this->root = null;
		$this->size = 0;
	}
	//Get height of insert new node

	public 	function insert_height() {
		$i = 1;
		$sum = 0;
		while ($this->size > $sum + (1 << $i)) {
			$sum += (1 << $i);
			$i++;
		}
		return $i;
	}
	public 	function swap_node($first, $second) {
		$key = $first->key;
		$first->key = $second->key;
		$second->key = $key;
	}
	//Arrange node key

	public 	function arrange_node($root) {
		if ($root->left != null && $root->left->key < $root->key) {
			$this->swap_node($root, $root->left);
		}
		if ($root->right != null && $root->right->key < $root->key) {
			$this->swap_node($root, $root->right);
		}
	}
	public 	function add_node($root, $height, $level, $newNode) {
		if ($level >= $height) {
			return false;
		}
		if ($root != null) {
			if ($level - 1 == $height && $root->left == null || $root->right == null) {
				if ($root->left == null) {
					$root->left = $newNode;
				} else {
					$root->right = $newNode;
				}
				$this->arrange_node($root);
				return true;
			}
			if ($this->add_node($root->left, $height, $level + 1, $newNode) || $this->add_node($root->right, $height, $level + 1, $newNode)) {
				//Check effect of new inserted node
				$this->arrange_node($root);
				return true;
			}
		}
		return false;
	}
	//Handles the request to new inserting node

	public 	function insert($key) {
		if ($this->root == null) {
			$this->root = new Node($key);
		} else
		if ($this->root->left == null) {
			$this->root->left = new Node($key);
			$this->arrange_node($this->root);
		} else
		if ($this->root->right == null) {
			$this->root->right = new Node($key);
			$this->arrange_node($this->root);
		} else {
			$height = $this->insert_height();
			$newNode = new Node($key);
			$this->add_node($this->root, $height, 0, $newNode);
		}
		$this->size++;
	}
	public 	function combine($first, $second, $root) {
		if ($root != null) {
			$root->left = $this->combine($first, $second, $root->left);
			$root->right = $this->combine($first, $second, $root->right);
			if ($root->left == null && $root->right == null) {
				$height =
					$first->insert_height();
				//add node in first tree
				$this->add_node($first->root, $height, 0, $root);
				$first->size++;
				$second->size--;
				return null;
			}
		}
		return $root;
	}
	public 	function merge($heap2) {
		if ($this->root != null && $heap2->root != null) {
			if ($this->size > $heap2->size) {
				echo("\n\n Merging of heap 2 in heap 1 ");
				//add node element in first tree
				$heap2->root = $this->combine($this, $heap2, $heap2->root);
			} else {
				echo("\n\n Merging of heap 1 in heap 2 ");
				//add node element in second tree
				$this->root = $this->combine($heap2, $this, $this->root);
			}
		}
	}
	public 	function preorder($root) {
		if ($root != null) {
			echo(" ". $root->key);
			$this->preorder($root->left);
			$this->preorder($root->right);
		}
	}
	public 	function inorder($root) {
		if ($root != null) {
			$this->inorder($root->left);
			echo(" ". $root->key);
			$this->inorder($root->right);
		}
	}
	public 	function postorder($root) {
		if ($root != null) {
			$this->postorder($root->left);
			$this->postorder($root->right);
			echo(" ". $root->key);
		}
	}
	public 	function print_nodes() {
		echo("\nPreorder : \n");
		$this->preorder($this->root);
		echo("\nInorder : \n");
		$this->inorder($this->root);
		echo("\nPostorder : \n");
		$this->postorder($this->root);
	}
}

function main() {
	$heap1 = new MinHeap();
	//Construct first Min heap tree

	$heap1->insert(8);
	$heap1->insert(10);
	$heap1->insert(14);
	$heap1->insert(13);
	$heap1->insert(11);
	$heap1->insert(12);
	/*After insert element*/
	/*
	                 8
	               /    \
	              10     12 
	            /  \    /  
	           13   11 14  
	       
	      Preorder : 
	        8  10  13  11  12  14
	      Inorder : 
	        13  10  11  8  14  12
	      Postorder : 
	        13  11  10  14  12  8


	    */
	$heap2 = new MinHeap();
	//Construct second Min heap tree

	for ($i = 7; $i > 0; $i--) {
		$heap2->insert($i);
	}
	/*After insert element*/
	/*
	                1
	             /    \
	            /      \
	           4        2 
	         /   \     /  \
	        7     5   6    3


	    Preorder : 
	      1  4  7  5  2  6  3
	    Inorder : 
	      7  4  5  1  6  2  3
	    Postorder : 
	      7  5  4  6  3  2  1

	    */

	echo("First heap element : \n");
	$heap1->print_nodes();
	echo("\n\nSecond heap element : \n");
	$heap2->print_nodes();
	$heap1->merge($heap2);
	echo("\n After Merges ");
	/*After Merge element*/
	/*
	                   1
	               /       \
	              /         \
	             4            2
	           /   \         /  \
	          7     5       6    3
	         / \    /\     /  \
	        13  11 10 14  12   8

	       Preorder : 
	          1  4  7  13  11  5  10  14  2  6  12  8  3
	        Inorder : 
	          13  7  11  4  10  5  14  1  12  6  8  2  3
	        Postorder : 
	          13  11  7  10  14  5  4  12  8  6  3  2  1
	    */

	if ($heap1->root != null) {
		echo("\n\nFirst heap element : ");
		$heap1->print_nodes();
	}
	if ($heap2->root != null) {
		echo("\n\nSecond heap element : \n");
		$heap2->print_nodes();
	}

}
main();

Output

First heap element :

Preorder :
 8 10 13 11 12 14
Inorder :
 13 10 11 8 14 12
Postorder :
 13 11 10 14 12 8

Second heap element :

Preorder :
 1 4 7 5 2 6 3
Inorder :
 7 4 5 1 6 2 3
Postorder :
 7 5 4 6 3 2 1

 Merging of heap 1 in heap 2
 After Merges

Second heap element :

Preorder :
 1 4 7 13 11 5 10 14 2 6 12 8 3
Inorder :
 13 7 11 4 10 5 14 1 12 6 8 2 3
Postorder :
 13 11 7 10 14 5 4 12 8 6 3 2 1
/*
  Node Js program
  Merge two Binary Min Heap Tree
*/
//Tree node
class Node {
	constructor(key) {
		this.key = key;
		this.left = null;
		this.right = null;
	}
}
class MinHeap {
	//This is use to store information of number of nodes in Min heap
	;;
	constructor() {
		this.root = null;
		this.size = 0;
	}

	//Get height of insert new node
	insert_height() {
		var i = 1;
		var sum = 0;
		while (this.size > sum + (1 << i)) {
			sum += (1 << i);
			i++;
		}

		return i;
	}
	swap_node(first, second) {
		var key = first.key;
		first.key = second.key;
		second.key = key;
	}

	//Arrange node key
	arrange_node(root) {
		if (root.left != null && root.left.key < root.key) {
			this.swap_node(root, root.left);
		}

		if (root.right != null && root.right.key < root.key) {
			this.swap_node(root, root.right);
		}
	}
	add_node(root, height, level, newNode) {
		if (level >= height) {
			return false;
		}

		if (root != null) {
			if (level - 1 == height && root.left == null || root.right == null) {
				if (root.left == null) {
					root.left = newNode;
				} else {
					root.right = newNode;
				}
				this.arrange_node(root);
				return true;
			}

			if (this.add_node(root.left, height, level + 1, newNode) || this.add_node(root.right, height, level + 1, newNode)) {
				//Check effect of new inserted node
				this.arrange_node(root);
				return true;
			}
		}

		return false;
	}

	//Handles the request to new inserting node
	insert(key) {
		if (this.root == null) {
			this.root = new Node(key);
		} else
		if (this.root.left == null) {
			this.root.left = new Node(key);
			this.arrange_node(this.root);
		} else
		if (this.root.right == null) {
			this.root.right = new Node(key);
			this.arrange_node(this.root);
		} else {
			var height = this.insert_height();
			var newNode = new Node(key);
			this.add_node(this.root, height, 0, newNode);
		}
		this.size++;
	}
	combine(first, second, root) {
		if (root != null) {
			root.left = this.combine(first, second, root.left);
			root.right = this.combine(first, second, root.right);
			if (root.left == null && root.right == null) {
				var height = first.insert_height();
				//add node in first tree
				this.add_node(first.root, height, 0, root);
				first.size++;
				second.size--;
				return null;
			}
		}

		return root;
	}
	merge(heap2) {
		if (this.root != null && heap2.root != null) {
			if (this.size > heap2.size) {
				process.stdout.write("\n\n Merging of heap 2 in heap 1 ");
				//add node element in first tree
				heap2.root = this.combine(this, heap2, heap2.root);
			} else {
				process.stdout.write("\n\n Merging of heap 1 in heap 2 ");
				//add node element in second tree
				this.root = this.combine(heap2, this, this.root);
			}
		}
	}
	preorder(root) {
		if (root != null) {
			process.stdout.write(" " + root.key);
			this.preorder(root.left);
			this.preorder(root.right);
		}
	}
	inorder(root) {
		if (root != null) {
			this.inorder(root.left);
			process.stdout.write(" " + root.key);
			this.inorder(root.right);
		}
	}
	postorder(root) {
		if (root != null) {
			this.postorder(root.left);
			this.postorder(root.right);
			process.stdout.write(" " + root.key);
		}
	}
	print_nodes() {
		process.stdout.write("\nPreorder : \n");
		this.preorder(this.root);
		process.stdout.write("\nInorder : \n");
		this.inorder(this.root);
		process.stdout.write("\nPostorder : \n");
		this.postorder(this.root);
	}
}

function main(args) {
	var heap1 = new MinHeap();
	//Construct first Min heap tree
	heap1.insert(8);
	heap1.insert(10);
	heap1.insert(14);
	heap1.insert(13);
	heap1.insert(11);
	heap1.insert(12);
	/*After insert element*/
	/*
	                 8
	               /    \
	              10     12 
	            /  \    /  
	           13   11 14  
	       
	      Preorder : 
	        8  10  13  11  12  14
	      Inorder : 
	        13  10  11  8  14  12
	      Postorder : 
	        13  11  10  14  12  8


	    */
	var heap2 = new MinHeap();
	//Construct second Min heap tree

	for (var i = 7; i > 0; i--) {
		heap2.insert(i);
	}

	/*After insert element*/
	/*
	                1
	             /    \
	            /      \
	           4        2 
	         /   \     /  \
	        7     5   6    3


	    Preorder : 
	      1  4  7  5  2  6  3
	    Inorder : 
	      7  4  5  1  6  2  3
	    Postorder : 
	      7  5  4  6  3  2  1

	    */

	process.stdout.write("First heap element : \n");
	heap1.print_nodes();
	process.stdout.write("\n\nSecond heap element : \n");
	heap2.print_nodes();
	heap1.merge(heap2);
	process.stdout.write("\n After Merges ");
	/*After Merge element*/
	/*
	                   1
	               /       \
	              /         \
	             4            2
	           /   \         /  \
	          7     5       6    3
	         / \    /\     /  \
	        13  11 10 14  12   8

	       Preorder : 
	          1  4  7  13  11  5  10  14  2  6  12  8  3
	        Inorder : 
	          13  7  11  4  10  5  14  1  12  6  8  2  3
	        Postorder : 
	          13  11  7  10  14  5  4  12  8  6  3  2  1
	    */

	if (heap1.root != null) {
		process.stdout.write("\n\nFirst heap element : ");
		heap1.print_nodes();
	}

	if (heap2.root != null) {
		process.stdout.write("\n\nSecond heap element : \n");
		heap2.print_nodes();
	}
}

main();

Output

First heap element :

Preorder :
 8 10 13 11 12 14
Inorder :
 13 10 11 8 14 12
Postorder :
 13 11 10 14 12 8

Second heap element :

Preorder :
 1 4 7 5 2 6 3
Inorder :
 7 4 5 1 6 2 3
Postorder :
 7 5 4 6 3 2 1

 Merging of heap 1 in heap 2
 After Merges

Second heap element :

Preorder :
 1 4 7 13 11 5 10 14 2 6 12 8 3
Inorder :
 13 7 11 4 10 5 14 1 12 6 8 2 3
Postorder :
 13 11 7 10 14 5 4 12 8 6 3 2 1
# Python 3 program
# Merge two Binary Min Heap Tree

# Tree node
class Node :
	def __init__(self, key) :
		self.key = key
		self.left = None
		self.right = None
	

class MinHeap :
	# This is use to store information of number of nodes in Min heap 
	def __init__(self) :
		self.root = None
		self.size = 0
	 # Get height of insert new node
	def insert_height(self) :
		i = 1
		sum = 0
		while (self.size > sum + (1 << i)) :
			sum += (1 << i)
			i += 1
		
		return i
	
	def swap_node(self, first, second) :
		key = first.key
		first.key = second.key
		second.key = key
	 # Arrange node key
	def arrange_node(self, root) :
		if (root.left != None and root.left.key < root.key) :
			self.swap_node(root, root.left)
		
		if (root.right != None and root.right.key < root.key) :
			self.swap_node(root, root.right)
		
	
	def add_node(self, root, height, level, newNode) :
		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 = newNode
				else :
					root.right = newNode
				
				self.arrange_node(root)
				return True
			
			if (self.add_node(root.left, height, level + 1, newNode) or self.add_node(root.right, height, level + 1, newNode)) :
				# Check effect of new inserted node
				self.arrange_node(root)
				return True
			
		
		return False
	 # Handles the request to new inserting node
	def insert(self, key) :
		if (self.root == None) :
			self.root = Node(key)
		elif (self.root.left == None) :
			self.root.left = Node(key)
			self.arrange_node(self.root)
		elif (self.root.right == None) :
			self.root.right = Node(key)
			self.arrange_node(self.root)
		else :
			height = self.insert_height()
			newNode = Node(key)
			self.add_node(self.root, height, 0, newNode)
		
		self.size += 1
	
	def combine(self, first, second, root) :
		if (root != None) :
			root.left = self.combine(first, second, root.left)
			root.right = self.combine(first, second, root.right)
			if (root.left == None and root.right == None) :
				height = first.insert_height() # add node in first tree
				self.add_node(first.root, height, 0, root)
				first.size += 1
				second.size -= 1
				return None
			
		
		return root
	
	def merge(self, heap2) :
		if (self.root != None and heap2.root != None) :
			if (self.size > heap2.size) :
				print("\n\n Merging of heap 2 in heap 1 ", end = "") # add node element in first tree
				heap2.root = self.combine(self, heap2, heap2.root)
			else :
				print("\n\n Merging of heap 1 in heap 2 ", end = "") # add node element in second tree
				self.root = self.combine(heap2, self, self.root)
			
		
	
	def preorder(self, root) :
		if (root != None) :
			print(" ", root.key, end = "")
			self.preorder(root.left)
			self.preorder(root.right)
		
	
	def inorder(self, root) :
		if (root != None) :
			self.inorder(root.left)
			print(" ", root.key, end = "")
			self.inorder(root.right)
		
	
	def postorder(self, root) :
		if (root != None) :
			self.postorder(root.left)
			self.postorder(root.right)
			print(" ", root.key, end = "")
		
	
	def print_nodes(self) :
		print("\nPreorder : \n", end = "")
		self.preorder(self.root)
		print("\nInorder : \n", end = "")
		self.inorder(self.root)
		print("\nPostorder : \n", end = "")
		self.postorder(self.root)
	

def main() :
	heap1 = MinHeap() # Construct first Min heap tree
	heap1.insert(8)
	heap1.insert(10)
	heap1.insert(14)
	heap1.insert(13)
	heap1.insert(11)
	heap1.insert(12)
	#
	#                 8
	#               /    \
	#              10     12 
	#            /  \    /  
	#           13   11 14  
	#       
	#      Preorder : 
	#        8  10  13  11  12  14
	#      Inorder : 
	#        13  10  11  8  14  12
	#      Postorder : 
	#        13  11  10  14  12  8
	#    
	
	#After insert element
	 
	#
	#                 8
	#               /    \
	#              10     12 
	#            /  \    /  
	#           13   11 14  
	#       
	#      Preorder : 
	#        8  10  13  11  12  14
	#      Inorder : 
	#        13  10  11  8  14  12
	#      Postorder : 
	#        13  11  10  14  12  8
	#    
	

	heap2 = MinHeap() # Construct second Min heap tree
	i = 7
	while (i > 0) :
		heap2.insert(i)
		i -= 1
	
	print("First heap element : \n", end = "")
	heap1.print_nodes()
	print("\n\nSecond heap element : \n", end = "")
	heap2.print_nodes()
	heap1.merge(heap2)
	print("\n After Merges ", end = "")
	#
	#                   1
	#               /       \
	#              /         \
	#             4            2
	#           /   \         /  \
	#          7     5       6    3
	#         / \    /\     /  \
	#        13  11 10 14  12   8
	#       Preorder : 
	#          1  4  7  13  11  5  10  14  2  6  12  8  3
	#        Inorder : 
	#          13  7  11  4  10  5  14  1  12  6  8  2  3
	#        Postorder : 
	#          13  11  7  10  14  5  4  12  8  6  3  2  1
	#    
	
	#After Merge element
	 
	#
	#                   1
	#               /       \
	#              /         \
	#             4            2
	#           /   \         /  \
	#          7     5       6    3
	#         / \    /\     /  \
	#        13  11 10 14  12   8
	#       Preorder : 
	#          1  4  7  13  11  5  10  14  2  6  12  8  3
	#        Inorder : 
	#          13  7  11  4  10  5  14  1  12  6  8  2  3
	#        Postorder : 
	#          13  11  7  10  14  5  4  12  8  6  3  2  1
	#    
	


	if (heap1.root != None) :
		print("\n\nFirst heap element : ", end = "")
		heap1.print_nodes()
	
	if (heap2.root != None) :
		print("\n\nSecond heap element : \n", end = "")
		heap2.print_nodes()
	


if __name__ == "__main__":
	main()

Output

First heap element :

Preorder :
  8  10  13  11  12  14
Inorder :
  13  10  11  8  14  12
Postorder :
  13  11  10  14  12  8

Second heap element :

Preorder :
  1  4  7  5  2  6  3
Inorder :
  7  4  5  1  6  2  3
Postorder :
  7  5  4  6  3  2  1

 Merging of heap 1 in heap 2
 After Merges

Second heap element :

Preorder :
  1  4  7  13  11  5  10  14  2  6  12  8  3
Inorder :
  13  7  11  4  10  5  14  1  12  6  8  2  3
Postorder :
  13  11  7  10  14  5  4  12  8  6  3  2  1
#  Ruby program
#  Merge two Binary Min Heap Tree

# 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 MinHeap 
  	# Define the accessor and reader of class MinHeap
    # This is use to store information of number of nodes in Min heap
    attr_reader :size, :root
    attr_accessor :size, :root

	def initialize() 
		@root = nil
		@size = 0
	end
	 # Get height of insert new node
	def insert_height() 
		i = 1
		sum = 0
		while (self.size > sum + (1 << i)) 
			sum += (1 << i)
			i += 1
		end
		return i
	end
	def swap_node(first, second) 
		data = first.key
		first.key = second.key
		second.key = data
	end
	 # Arrange node key
	def arrange_node(root) 
		if (root.left != nil && root.left.key < root.key) 
			self.swap_node(root, root.left)
		end
		if (root.right != nil && root.right.key < root.key) 
			self.swap_node(root, root.right)
		end
	end
	def add_node(root, height, level, newNode) 
		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 = newNode
				else 
					root.right = newNode
				end
				self.arrange_node(root)
				return true
			end
			if (self.add_node(root.left, height, level + 1, newNode) || self.add_node(root.right, height, level + 1, newNode)) 
				 # Check effect of new inserted node
				self.arrange_node(root)
				return true
			end
		end
		return false
	end
	 # Handles the request to new inserting node
	def insert(key) 
		if (@root == nil) 
			@root = Node.new(key)
		elsif (@root.left == nil) 
			@root.left = Node.new(key)
			self.arrange_node(@root)
		elsif (@root.right == nil) 
			@root.right = Node.new(key)
			self.arrange_node(@root)
		else 
			height = self.insert_height()
			newNode = Node.new(key)
			self.add_node(@root, height, 0, newNode)
		end
		self.size += 1
	end
	def combine(first, second, root) 
		if (root != nil) 
			root.left = self.combine(first, second, root.left)
			root.right = self.combine(first, second, root.right)
			if (root.left == nil && root.right == nil) 
				height = first.insert_height()
				 # add node in first tree
				self.add_node(first.root, height, 0, root)
				first.size += 1
				second.size -= 1
				return nil
			end
		end
		return root
	end
	def merge(heap2) 
		if (self.root != nil && heap2.root != nil) 
			if (self.size > heap2.size) 
				print("\n\n Merging of heap 2 in heap 1 ")
				 # add node element in first tree
				heap2.root = self.combine(self, heap2, heap2.root)
			else 
				print("\n\n Merging of heap 1 in heap 2 ")
				 # add node element in second tree
				self.root = self.combine(heap2, self, self.root)
			end
		end
	end
	def preorder(root) 
		if (root != nil) 
			print(" ", root.key)
			self.preorder(root.left)
			self.preorder(root.right)
		end
	end
	def inorder(root) 
		if (root != nil) 
			self.inorder(root.left)
			print(" ", root.key)
			self.inorder(root.right)
		end
	end
	def postorder(root) 
		if (root != nil) 
			self.postorder(root.left)
			self.postorder(root.right)
			print(" ", root.key)
		end
	end
	def print_nodes() 
		print("\nPreorder  :\n")
		self.preorder(self.root)
		print("\nInorder  :\n")
		self.inorder(self.root)
		print("\nPostorder  :\n")
		self.postorder(self.root)
	end
end
def main() 
	heap1 = MinHeap.new()
	 # Construct first Min heap tree
	heap1.insert(8)
	heap1.insert(10)
	heap1.insert(14)
	heap1.insert(13)
	heap1.insert(11)
	heap1.insert(12)
	#After insert element
	 
	#
	#                 8
	#               /    \
	#              10     12 
	#            /  \    /  
	#           13   11 14  
	#       
	#      Preorder  :
	#        8  10  13  11  12  14
	#      Inorder  :
	#        13  10  11  8  14  12
	#      Postorder  :
	#        13  11  10  14  12  8
	#    
	
	heap2 = MinHeap.new()
	 # Construct second Min heap tree
	i = 7
	while (i > 0) 
		heap2.insert(i)
		i -= 1
	end
	#After insert element
	 
	#
	#                1
	#             /    \
	#            /      \
	#           4        2 
	#         /   \     /  \
	#        7     5   6    3
	#    Preorder  :
	#      1  4  7  5  2  6  3
	#    Inorder  :
	#      7  4  5  1  6  2  3
	#    Postorder  :
	#      7  5  4  6  3  2  1
	#    
	

	print("First heap element  :\n")
	heap1.print_nodes()
	print("\n\nSecond heap element  :\n")
	heap2.print_nodes()
	heap1.merge(heap2)
	print("\n After Merges ")
	#After Merge element
	 
	#
	#                   1
	#               /       \
	#              /         \
	#             4            2
	#           /   \         /  \
	#          7     5       6    3
	#         / \    /\     /  \
	#        13  11 10 14  12   8
	#       Preorder  :
	#          1  4  7  13  11  5  10  14  2  6  12  8  3
	#        Inorder  :
	#          13  7  11  4  10  5  14  1  12  6  8  2  3
	#        Postorder  :
	#          13  11  7  10  14  5  4  12  8  6  3  2  1
	#    
	

	if (heap1.root != nil) 
		print("\n\nFirst heap element  :")
		heap1.print_nodes()
	end
	if (heap2.root != nil) 
		print("\n\nSecond heap element  :\n")
		heap2.print_nodes()
	end
end


main()

Output

First heap element  :

Preorder  :
 8 10 13 11 12 14
Inorder  :
 13 10 11 8 14 12
Postorder  :
 13 11 10 14 12 8

Second heap element  :

Preorder  :
 1 4 7 5 2 6 3
Inorder  :
 7 4 5 1 6 2 3
Postorder  :
 7 5 4 6 3 2 1

 Merging of heap 1 in heap 2 
 After Merges 

Second heap element  :

Preorder  :
 1 4 7 13 11 5 10 14 2 6 12 8 3
Inorder  :
 13 7 11 4 10 5 14 1 12 6 8 2 3
Postorder  :
 13 11 7 10 14 5 4 12 8 6 3 2 1
/*
  Scala program
  Merge two Binary Min Heap Tree
*/
//Tree node
class Node(var left: Node,
	var right: Node,
		var key: Int) {

	def this(key: Int) {
		this(null,null,key);
	}
}
class MinHeap(var size: Int,var root: Node) {
	
	def this() {
		this(0,null);
	}
	//Get height of insert new node
	def insert_height(): Int = {
		var i: Int = 1;
		var sum: Int = 0;
		while (this.size > sum + (1 << i)) {
			sum += (1 << i);
			i += 1;
		}
		return i;
	}
	def swap_node(first: Node, second: Node): Unit = {
		val data: Int = first.key;
		first.key = second.key;
		second.key = data;
	}
	//Arrange node key
	def arrange_node(root: Node): Unit = {
		if (root.left != null && root.left.key < root.key) {
			this.swap_node(root, root.left);
		}
		if (root.right != null && root.right.key < root.key) {
			this.swap_node(root, root.right);
		}
	}
	def add_node(root: Node, height: Int, level: Int, newNode: Node): 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 = newNode;
				} else {
					root.right = newNode;
				}
				this.arrange_node(root);

				return true;
			}
			if (this.add_node(root.left, height, level + 1, newNode) || this.add_node(root.right, height, level + 1, newNode)) {
				//Check effect of new inserted node
				this.arrange_node(root);

				return true;
			}
		}
		return false;
	}
	//Handles the request to new inserting node
	def insert(key: Int): Unit = {
		if (this.root == null) {
			this.root = new Node(key);
		} else
		if (this.root.left == null) {
			this.root.left = new Node(key);
			this.arrange_node(this.root);
		} else
		if (this.root.right == null) {
			this.root.right = new Node(key);
			this.arrange_node(this.root);
		} else {
			var height: Int = this.insert_height();
			var newNode: Node = new Node(key);
			this.add_node(this.root, height, 0, newNode);
		}
		this.size += 1;
	}
	def combine(first: MinHeap, second: MinHeap, root: Node): Node = {
		if (root != null) {
			root.left = this.combine(first, second, root.left);
			root.right = this.combine(first, second, root.right);

			if (root.left == null && root.right == null) {
				val height: Int = first.insert_height();

				//add node in first tree
				this.add_node(first.root, height, 0, root);
				first.size += 1;
				second.size -= 1;

				return null;
			}
		}
		return root;
	}
	def merge(heap2: MinHeap): Unit = {
		if (this.root != null && heap2.root != null) {
			if (this.size > heap2.size) {
				print("\n\n Merging of heap 2 in heap 1 ");

				//add node element in first tree
				heap2.root = this.combine(this, heap2, heap2.root);
			} else {
				print("\n\n Merging of heap 1 in heap 2 ");

				//add node element in second tree
				this.root = this.combine(heap2, this, this.root);
			}
		}
	}
	def preorder(root: Node): Unit = {
		if (root != null) {
			print(" " + root.key);
			this.preorder(root.left);
			this.preorder(root.right);
		}
	}
	def inorder(root: Node): Unit = {
		if (root != null) {
			this.inorder(root.left);
			print(" " + root.key);
			this.inorder(root.right);
		}
	}
	def postorder(root: Node): Unit = {
		if (root != null) {
			this.postorder(root.left);
			this.postorder(root.right);
			print(" " + root.key);
		}
	}
	def print_nodes(): Unit = {
		print("\nPreorder : \n");
		this.preorder(this.root);
		print("\nInorder : \n");
		this.inorder(this.root);
		print("\nPostorder : \n");
		this.postorder(this.root);
	}
}
object Main {
	def main(args: Array[String]): Unit = {
		val heap1: MinHeap = new MinHeap();

		//Construct first Min heap tree
		heap1.insert(8);
		heap1.insert(10);
		heap1.insert(14);
		heap1.insert(13);
		heap1.insert(11);
		heap1.insert(12);

		/*After insert element*/
		/*
		                 8
		               /    \
		              10     12 
		            /  \    /  
		           13   11 14  
		       
		      Preorder : 
		        8  10  13  11  12  14
		      Inorder : 
		        13  10  11  8  14  12
		      Postorder : 
		        13  11  10  14  12  8


		    */
		var heap2: MinHeap = new MinHeap();

		//Construct second Min heap tree
		var i: Int = 7;
		while (i > 0) {
			heap2.insert(i);
			i -= 1;
		}
		/*After insert element*/
		/*
		                1
		             /    \
		            /      \
		           4        2 
		         /   \     /  \
		        7     5   6    3


		    Preorder : 
		      1  4  7  5  2  6  3
		    Inorder : 
		      7  4  5  1  6  2  3
		    Postorder : 
		      7  5  4  6  3  2  1

		    */
		print("First heap element : \n");
		heap1.print_nodes();
		print("\n\nSecond heap element : \n");
		heap2.print_nodes();
		heap1.merge(heap2);
		print("\n After Merges ");

		/*After Merge element*/
		/*
		                   1
		               /       \
		              /         \
		             4            2
		           /   \         /  \
		          7     5       6    3
		         / \    /\     /  \
		        13  11 10 14  12   8

		       Preorder : 
		          1  4  7  13  11  5  10  14  2  6  12  8  3
		        Inorder : 
		          13  7  11  4  10  5  14  1  12  6  8  2  3
		        Postorder : 
		          13  11  7  10  14  5  4  12  8  6  3  2  1
		    */

		if (heap1.root != null) {
			print("\n\nFirst heap element : ");
			heap1.print_nodes();
		}
		if (heap2.root != null) {
			print("\n\nSecond heap element : \n");
			heap2.print_nodes();
		}
	}
}

Output

First heap element :

Preorder :
 8 10 13 11 12 14
Inorder :
 13 10 11 8 14 12
Postorder :
 13 11 10 14 12 8

Second heap element :

Preorder :
 1 4 7 5 2 6 3
Inorder :
 7 4 5 1 6 2 3
Postorder :
 7 5 4 6 3 2 1

 Merging of heap 1 in heap 2
 After Merges

Second heap element :

Preorder :
 1 4 7 13 11 5 10 14 2 6 12 8 3
Inorder :
 13 7 11 4 10 5 14 1 12 6 8 2 3
Postorder :
 13 11 7 10 14 5 4 12 8 6 3 2 1
/*
  Swift program
  Merge two Binary Min Heap Tree
*/
//Tree node
class Node {
  	//Left and right child
	var left : Node?;
	var right : Node?;
  	//Data value
	var key : Int;
	init(_ key: Int) {
		self.key = key;
		self.left = nil;
		self.right = nil;
	}
}
class MinHeap {
	
	//This is use to store information of number of nodes in Min heap
	var	size : Int;
	var root : Node?;
	init() {
		self.root = nil;
		self.size = 0;
	}
	//Get height of insert new node
	func insert_height() -> Int {
		var i = 1;
		var sum = 0;
		while (self.size > sum + (1 << i)) {
			sum += (1 << i);
			i += 1;
		}
		return i;
	}
	func swap_node(_ first: Node?, _ second: Node?) {
		let data = first!.key;
		first!.key = second!.key;
		second!.key = data;
	}
	//Arrange node key
	func arrange_node(_ root: Node?) {
		if (root!.left != nil && root!.left!.key < root!.key) {
			self.swap_node(root, root!.left);
		}
		if (root!.right != nil && root!.right!.key < root!.key) {
			self.swap_node(root, root!.right);
		}
	}
	func add_node(_ root: Node?, _ height: Int, _ level: Int, _ newNode: Node?) -> 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 = newNode;
				} else {
					root!.right = newNode;
				}
				self.arrange_node(root);
				return true;
			}
			if (self.add_node(root!.left, height, level + 1, newNode) || 
                self.add_node(root!.right, height, level + 1, newNode)) {
				//Check effect of new inserted node
				self.arrange_node(root);
				return true;
			}
		}
		return false;
	}
	//Handles the request to new inserting node
	func insert(_ key: Int) {
		if (self.root == nil) {
			self.root = Node(key);
		} else
		if (self.root!.left == nil) {
			self.root!.left = Node(key);
			self.arrange_node(self.root);
		} else
		if (self.root!.right == nil) {
			self.root!.right = Node(key);
			self.arrange_node(self.root);
		} else {
			let height = self.insert_height();
			let newNode = Node(key);
			let _ = self.add_node(self.root, height, 0, newNode);
		}
		self.size += 1;
	}
	func combine(_ first: MinHeap, _ second: MinHeap, _ root: Node?) -> Node? {
		if (root != nil) {
			root!.left = self.combine(first, second, root!.left);
			root!.right = self.combine(first, second, root!.right);
			if (root!.left == nil && root!.right == nil) {
				let height = first.insert_height();
				//add node in first tree
				let _  = self.add_node(first.root, height, 0, root);
				first.size += 1;
				second.size -= 1;
				return nil;
			}
		}
		return root;
	}
	func merge(_ heap2: MinHeap) {
		if (self.root != nil && heap2.root != nil) {
			if (self.size > heap2.size) {
				print("\n\n Merging of heap 2 in heap 1 ", terminator: "");
				//add node element in first tree
				heap2.root = self.combine(self, heap2, heap2.root);
			} else {
				print("\n\n Merging of heap 1 in heap 2 ", terminator: "");
				//add node element in second tree
				self.root = self.combine(heap2, self, self.root);
			}
		}
	}
	func preorder(_ root: Node?) {
		if (root != nil) {
			print(" ", root!.key, terminator: "");
			self.preorder(root!.left);
			self.preorder(root!.right);
		}
	}
	func inorder(_ root: Node?) {
		if (root != nil) {
			self.inorder(root!.left);
			print(" ", root!.key, terminator: "");
			self.inorder(root!.right);
		}
	}
	func postorder(_ root: Node?) {
		if (root != nil) {
			self.postorder(root!.left);
			self.postorder(root!.right);
			print(" ", root!.key, terminator: "");
		}
	}
	func print_nodes() {
		print("\nPreorder : \n", terminator: "");
		self.preorder(self.root);
		print("\nInorder : \n", terminator: "");
		self.inorder(self.root);
		print("\nPostorder : \n", terminator: "");
		self.postorder(self.root);
	}
}
func main() {
	let heap1 = MinHeap();
	//Construct first Min heap tree
	heap1.insert(8);
	heap1.insert(10);
	heap1.insert(14);
	heap1.insert(13);
	heap1.insert(11);
	heap1.insert(12);
	/*After insert element*/
	/*
	                 8
	               /    \
	              10     12 
	            /  \    /  
	           13   11 14  
	       
	      Preorder : 
	        8  10  13  11  12  14
	      Inorder : 
	        13  10  11  8  14  12
	      Postorder : 
	        13  11  10  14  12  8


	    */
	let heap2 = MinHeap();
	//Construct second Min heap tree
	var i = 7;
	while (i > 0) {
		heap2.insert(i);
		i -= 1;
	}
	print("First heap element : \n", terminator: "");
	heap1.print_nodes();
	print("\n\nSecond heap element : \n", terminator: "");
	heap2.print_nodes();
	heap1.merge(heap2);
	print("\n After Merges ", terminator: "");
	/*After Merge element*/
	/*
	                   1
	               /       \
	              /         \
	             4            2
	           /   \         /  \
	          7     5       6    3
	         / \    /\     /  \
	        13  11 10 14  12   8

	       Preorder : 
	          1  4  7  13  11  5  10  14  2  6  12  8  3
	        Inorder : 
	          13  7  11  4  10  5  14  1  12  6  8  2  3
	        Postorder : 
	          13  11  7  10  14  5  4  12  8  6  3  2  1
	    */

	if (heap1.root != nil) {
		print("\n\nFirst heap element : ", terminator: "");
		heap1.print_nodes();
	}
	if (heap2.root != nil) {
		print("\n\nSecond heap element : \n", terminator: "");
		heap2.print_nodes();
	}
}
main();

Output

First heap element :

Preorder :
  8  10  13  11  12  14
Inorder :
  13  10  11  8  14  12
Postorder :
  13  11  10  14  12  8

Second heap element :

Preorder :
  1  4  7  5  2  6  3
Inorder :
  7  4  5  1  6  2  3
Postorder :
  7  5  4  6  3  2  1

 Merging of heap 1 in heap 2
 After Merges

Second heap element :

Preorder :
  1  4  7  13  11  5  10  14  2  6  12  8  3
Inorder :
  13  7  11  4  10  5  14  1  12  6  8  2  3
Postorder :
  13  11  7  10  14  5  4  12  8  6  3  2  1


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