Monday, December 3, 2018

DS 10 - BINARY SEARCH TREE (BST)

10. Design, Develop and Implement a menu driven Program in C for the following operations on Binary Search Tree(BST) of Integers 
a. Create a BST of N Integers: 6, 9, 5, 2, 8, 15, 24, 14, 7, 8, 5, 2 
b. Traverse the BST in Inorder, Preorder and Post Order 
c. Search the BST for a given element (KEY) and report the appropriate message 
d. Exit

bst.c - PROGRAM

#include <stdio.h>
#include <stdlib.h>
int flag=0;

typedef struct BST
{
int data;
struct BST *lchild, *rchild;
} node;

void insert(node *,node *);
void inorder(node *);
void preorder(node *);
void postorder(node *);
node *search(node *, int, node **);

node *get_node()
{
node *temp;
temp = (node *) malloc(sizeof(node));
temp->lchild = NULL;
temp->rchild = NULL;
return temp;
}

void insert (node *root, node *new_node)
{
if (new_node->data<root->data)
{
if (root->lchild == NULL)
root->lchild = new_node;
else
insert(root->lchild, new_node);
}
if (new_node->data > root->data)
{
if (root->rchild == NULL)
root->rchild = new_node;
else
insert(root->rchild, new_node);
}
}

node *search(node *root, int key, node **parent)
{
node *temp;
temp=root;
while(temp != NULL)
{
if (temp->data==key)
{
printf("\nThe %d Element is Present", temp->data) ;
flag=1;
return temp;
}
*parent=temp;
if (temp->data>key)
temp=temp->lchild;
else
temp=temp->rchild;
}return NULL;
}

void inorder(node *temp)
{
if(temp != NULL)
{
    inorder (temp -> lchild) ;
    printf ("\t%d\t", temp->data) ;
    inorder (temp->rchild) ;
}
}

void preorder(node *temp)
{
if (temp != NULL)
{
printf ("\t%d\t", temp->data) ;
preorder (temp->lchild) ;
preorder (temp->rchild) ;
}
}

void postorder(node *temp)
{
if (temp != NULL)
{
postorder (temp->lchild) ;
postorder (temp->rchild) ;
printf ("\t%d\t", temp->data) ;
}
}

void main()
{
int choice;
int ans = 1;
int key;
node *new_node, *root, *tmp, *parent;
node *get_node();
root = NULL;
printf("\nProgram For Binary Search Tree ");
do
{
printf ("\nl.Create");
printf ("\n2.Search");
printf ("\n3.Recursive Traversals") ;
printf ("\n4.Exit") ;
printf("\nEnter your choice :");
scanf("%d", &choice) ;
switch (choice)
{
case 1:
do
{
new_node = get_node();
printf("\nEnter The Element ");
scanf("%d", &new_node->data) ;
if (root == NULL)
root = new_node;
else
insert (root, new_node);
printf("\nWant To enter More Elements? (1/0)");
scanf("%d",&ans);
}while(ans);
break;

case 2:
  printf("\nEnter Element to be searched :");
scanf("%d", &key);
tmp = search(root, key, &parent);
if (flag==1)
printf("\nParent of node %d is %d", tmp->data, parent->data);
else
printf("\n The %d Element is not Present", key) ;
flag=0;
break;

case 3:
if (root == NULL)
printf("Tree Is Not Created");
else
{
printf("\nThe Inorder display : ");
inorder (root) ;
printf("\nThe Preorder display : ");
preorder (root) ;
printf("\nThe Postorder display : ");
postorder (root) ;
}
break;
}
} while (choice != 4);

}

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