By | 04.05.2017

# Check Binary trees are Identical or not

Write a C Program to Check whether two Binary trees are Identical or not. Write an algorithm to determine if two binary trees are Equal or not. Here’s simple Program to Check whether two Binary trees are Identical or not in C Programming Language.

## What is Tree ?

In linear data structure, data is organized in sequential order and in non-linear data structure, data is organized in random order. Tree is a very popular data structure used in wide range of applications.

A tree data structure can be defined as follows…

• Tree is a non-linear data structure which organizes data in hierarchical structure and this is a recursive definition.

A tree data structure can also be defined as follows…

• Tree data structure is a collection of data (Node) which is organized in hierarchical structure and this is a recursive definition.

Every individual element is called as Node. Node in a tree data structure, stores the actual data of that particular element and link to next element in hierarchical structure.

Below is the source code for C Program to Check whether two Binary trees are Identical or not which is successfully compiled and run on Windows System to produce desired output as shown below :

### SOURCE CODE : :

```/* C Program to Check whether two Binary trees are identical or not  */

#include<stdio.h>
#include<stdlib.h>

struct node
{
struct node *lchild;
int info;
struct node *rchild;
};

struct node *insert(struct node *ptr, int ikey);
void display(struct node *ptr,int level);
int isIdentical(struct node *, struct node *);

int main()
{
struct node *root=NULL,*root1=NULL,*ptr;
int choice,k,item;

while(1)
{
printf("\n");
printf("1.Insert Tree 1\n");
printf("2.Insert Tree 2\n");
printf("3.Display Tree 1\n");
printf("4.Display Tree 2\n");
printf("5.Check for Identical\n");
printf("6.Quit\n");
scanf("%d",&choice);

switch(choice)
{

case 1:
printf("\nEnter the key to be inserted : ");
scanf("%d",&k);
root = insert(root, k);
break;

case 2:
printf("\nEnter the key to be inserted : ");
scanf("%d",&k);
root1 = insert(root1, k);
break;

case 3:
printf("\n");
display(root,0);
printf("\n");
break;

case 4:
printf("\n");
display(root1,0);
printf("\n");
break;

case 5:
printf("\n");
if(isIdentical(root,root1))
printf("Tree 1 and 2 are Identical\n");
else
printf("Tree 1 and 2 are Not Identical\n");
printf("\n");
break;

case 6:
exit(1);

default:
printf("\nWrong choice\n");

}/*End of switch */
}/*End of while */

return 0;

}/*End of main( )*/

struct node *insert(struct node *ptr, int ikey )
{
if(ptr==NULL)
{
ptr = (struct node *) malloc(sizeof(struct node));
ptr->info = ikey;
ptr->lchild = NULL;
ptr->rchild = NULL;
}
else if(ikey < ptr->info) /*Insertion in left subtree*/
ptr->lchild = insert(ptr->lchild, ikey);
else if(ikey > ptr->info) /*Insertion in right subtree */
ptr->rchild = insert(ptr->rchild, ikey);
else
printf("Duplicate key\n");
return(ptr);
}/*End of insert( )*/

void display(struct node *ptr,int level)
{
int i;
if(ptr == NULL )/*Base Case*/
return;
else
{
display(ptr->rchild, level+1);
printf("\n");
for (i=0; i<level; i++)
printf("    ");
printf("%d", ptr->info);
display(ptr->lchild, level+1);
}
}/*End of display()*/

int isIdentical( struct node *p1, struct node *p2)
{
if(p1==NULL && p2==NULL)
return 1;
if(p1!=NULL && p2!=NULL && p1->info == p2->info)
if(isIdentical(p1->lchild, p2->lchild) && isIdentical(p1->rchild, p2->rchild))
return 1;
return 0;
}```

### OUTPUT : :

```/* C Program to Check whether two Binary trees are identical or not  */

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 6

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 5

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 4

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 7

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 8

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 9

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 6

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 5

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 4

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 7

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 8

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 9

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 1

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

9
8
7
6
5
4

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

9
8
7
6
5
4
1

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Tree 1 and 2 are Not Identical

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Enter the key to be inserted : 1

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

9
8
7
6
5
4
1

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

9
8
7
6
5
4
1

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Tree 1 and 2 are Identical

1.Insert Tree 1
2.Insert Tree 2
3.Display Tree 1
4.Display Tree 2
5.Check for Identical
6.Quit

Process returned 1```

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