By | 16.04.2017

Min and Max in binary search tree(Recursive)

Write a C Program to find min and max in binary search tree. Here’s simple Program to find minimum and maximum value in binary search tree 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 find min and max in binary search tree which is successfully compiled and run on Windows System to produce desired output as shown below :

SOURCE CODE : :

```/*  C Program to find min and max in binary search tree  */

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

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

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

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

while(1)
{
printf("\n");
printf("1.Insert\n");
printf("2.Display\n");
printf("3.Find minimum and maximum\n");
printf("4.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("\n");
display(root,0);
printf("\n");
break;

case 3:
ptr = Min(root);
if(ptr!=NULL)
printf("\nMinimum key is %d\n", ptr->info );
ptr = Max(root);
if(ptr!=NULL)
printf("\nMaximum key is %d\n", ptr->info );
break;

case 4:
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("\nDuplicate key\n");
return ptr;
}/*End of insert( )*/

struct node *Min(struct node *ptr)
{
if(ptr==NULL)
return NULL;
else if(ptr->lchild==NULL)
return ptr;
else
return Min(ptr->lchild);
}/*End of min()*/

struct node *Max(struct node *ptr)
{
if(ptr==NULL)
return NULL;
else if(ptr->rchild==NULL)
return ptr;
else
return Max(ptr->rchild);
}/*End of max()*/

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()*/```

OUTPUT : :

```/*  C Program to find min and max in binary search tree  */

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

Enter the key to be inserted : 6

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

Enter the key to be inserted : 8

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

Enter the key to be inserted : 7

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

Enter the key to be inserted : 9

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

Enter the key to be inserted : 3

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

Enter the key to be inserted : 4

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

Enter the key to be inserted : 2

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

9
8
7
6
4
3
2

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

Minimum key is 2

Maximum key is 9

1.Insert
2.Display
3.Find minimum and maximum
4.Quit

Process returned 1```

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