C Program to Check if two Trees are Mirror Images or not

By | 05.05.2017

Check if two Trees are Mirror Images or not


Write a C Program to Check if two Trees are Mirror Images or not. Here’s simple Program to Check if two binary trees are mirror image of each other 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 if two Trees are Mirror Images or not which is successfully compiled and run on Windows System to produce desired output as shown below :


SOURCE CODE : :


/* C Program to Check if two Trees are Mirror Images 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);
void SwapChildren(struct node* ptr);
int isIdentical( struct node *p1, struct node *p2);
int isMirrorImage(struct node *root1, struct node *root2);

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.Display Tree 1\n");
                printf("3.Insert Tree 2\n");
                printf("4.Display Tree 2\n");
                printf("5.Check for MirrorImage\n");
                printf("6.Quit\n");
                printf("\nEnter your choice : ");
                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("\n");
            display(root,0);
            printf("\n");
            break;

        case 3:
                        printf("\nEnter the key to be inserted : ");
                        scanf("%d",&k);
                        root1 = insert(root1, k);
                        break;

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

        case 5:
            printf("\n");
            if( isMirrorImage(root, root1))
                printf("Tree 1 is mirror image of tree 2\n");
            else
                printf("Tree 1 is not mirror image of tree 2\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()*/


void SwapChildren(struct node* ptr)
{
        struct node* tmp;
        if (ptr==NULL)
                return;
        SwapChildren(ptr->lchild);
        SwapChildren(ptr->rchild);
    tmp = ptr->lchild;
    ptr->lchild = ptr->rchild;
    ptr->rchild = tmp;
}

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;
}

int isMirrorImage(struct node *root1, struct node *root2)
{
        int flag;
        SwapChildren(root1);
        if( isIdentical(root1, root2))
                flag=1;
        else
                flag=0;
        SwapChildren(root1);
        return flag;
}

OUTPUT : :


/* C Program to Check if two Trees are Mirror Images or not  */

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

Enter your choice : 1

Enter the key to be inserted : 5

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

Enter your choice : 1

Enter the key to be inserted : 3

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

Enter your choice : 1

Enter the key to be inserted : 4

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

Enter your choice : 1

Enter the key to be inserted : 2

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

Enter your choice : 1

Enter the key to be inserted : 6

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

Enter your choice : 1

Enter the key to be inserted : 7

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

Enter your choice : 3

Enter the key to be inserted : 5

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

Enter your choice : 3

Enter the key to be inserted : 3

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

Enter your choice : 3

Enter the key to be inserted : 4

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

Enter your choice : 3

Enter the key to be inserted : 2

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

Enter your choice : 3

Enter the key to be inserted : 6

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

Enter your choice : 3

Enter the key to be inserted : 7

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

Enter your choice : 2


        7
    6
5
        4
    3
        2

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

Enter your choice : 4


        2
    3
        4
5
    6
        7

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

Enter your choice : 5

Tree 1 is mirror image of tree 2

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

Enter your choice : 6

Process returned 1

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