Find Min and Max in binary tree

Write a C Program to find Min and Max in binary tree without Recursion. Here’s simple Program to find minimum and maximum value in binary search tree without Recursion 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 without Recursion which is successfully compiled and run on Windows System to produce desired output as shown below :

SOURCE CODE : :

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/* C Program to find Min and Max in binary tree without Recursion */

#include<stdio.h>

#include<stdlib.h>

#define MAX 50

struct node

{

struct node *lchild;

int info;

struct node *rchild;

};

struct node *min_nrec(struct node *root);

struct node *max_nrec(struct node *root);

struct node *insert_nrec(struct node *root, int ikey );

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”);

printf(“\nEnter your choice : “);

scanf(“%d”,&choice);

switch(choice)

{

case 1:

printf(“\nEnter the key to be inserted : “);

scanf(“%d”,&k);

root = insert_nrec(root, k);

break;

case 2:

printf(“\n”);

display(root,0);

printf(“\n”);

break;

case 3:

ptr = min_nrec(root);

if(ptr!=NULL)

printf(“\nMinimum key is %d\n”, ptr->info );

ptr = max_nrec(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_nrec(struct node *root, int ikey)

{

struct node *tmp,*par,*ptr;

ptr = root;

par = NULL;

while( ptr!=NULL)

{

par = ptr;

if(ikey < ptr->info)

ptr = ptr->lchild;

else if( ikey > ptr->info )

ptr = ptr->rchild;

else

{

printf(“Duplicate key”);

return root;

}

tmp=(struct node *)malloc(sizeof(struct node));

tmp->info=ikey;

tmp->lchild=NULL;

tmp->rchild=NULL;

if(par==NULL)

root=tmp;

else if( ikey < par->info )

par->lchild=tmp;

else

par->rchild=tmp;

return root;

}/*End of insert_nrec( )*/

struct node *min_nrec(struct node *ptr)

{

if(ptr!=NULL)

while(ptr->lchild!=NULL)

ptr=ptr->lchild;

return ptr;

}/*End of min_nrec()*/

struct node *max_nrec(struct node *ptr)

{

if(ptr!=NULL)

while(ptr->rchild!=NULL)

ptr=ptr->rchild;

return ptr;

}/*End of max_nrec()*/

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 : :

100

/* C Program for Min and Max in binary tree without Recursion */

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 1

Enter the key to be inserted : 8

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 1

Enter the key to be inserted : 4

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 1

Enter the key to be inserted : 7

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 1

Enter the key to be inserted : 1

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 1

Enter the key to be inserted : 9

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 1

Enter the key to be inserted : 11

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 1

Enter the key to be inserted : 10

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 2

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 3

Minimum key is 1

Maximum key is 11

1.Insert

2.Display

3.Find minimum and maximum

4.Quit

Enter your choice : 4

Process returned 1

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