Find the Minimum Valued node in the Binary Search Tree
#include<stdio.h>
#include<stdlib.h>
struct BST
{
int
data;
struct
BST *lchild;
struct
BST *rchild;
};
typedef struct BST * NODE;
NODE get_node()
{
NODE
temp;
temp
= (NODE) malloc(sizeof(struct BST));
temp->lchild
= NULL;
temp->rchild
= NULL;
return
temp;
}
void insert(NODE root, NODE newnode)
{
/*Note: if newnode->data == root->data it will be skipped.
No
duplicate nodes are allowed */
if
(newnode->data < root->data)
{
if
(root->lchild == NULL)
root->lchild
= newnode;
else
insert(root->lchild,
newnode);
}
if
(newnode->data > root->data)
{
if
(root->rchild == NULL)
root->rchild
= newnode;
else
insert(root->rchild,
newnode);
}
}
void minimum(NODE root)
{
NODE
cur;
if(root
== NULL)
{
printf("\nBST
not created"); return;
}
cur
= root;
while(cur->lchild!=NULL)
cur
= cur->lchild;
printf("\nMinimum
value in a tree is: %d", cur->data);
}
void main()
{
int val, i,n;
NODE
root = NULL, newnode;
printf("\nEnter the
number of elements: ");
scanf("%d",&n);
for(i=1;i<=n;i++)
{
newnode
= get_node();
printf("\nEnter
The node value: ");
scanf("%d",
&val);
newnode->data =
val;
if
(root == NULL)
root = newnode;
else
insert(root, newnode);
}
if(root == NULL)
printf("\nTree
is not created");
else
{
minimum(root); //Function to find min valued node
}
}
Output:
Enter the number of elements: 12
Enter The node value: 6
Enter The node value: 9
Enter The node value: 5
Enter The node value: 2
Enter The node value: 8
Enter The node value: 15
Enter The node value: 24
Enter The node value: 14
Enter The node value: 7
Enter The node value: 8
Enter The node value: 5
Enter The node value: 2
Minimum
value in a tree is: 2
