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16-Binary Search Tree.c
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244 lines (221 loc) · 5.36 KB
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#include <stdio.h>
#include <stdlib.h>
struct node
{
struct node *left;
int data;
struct node *right;
};
struct node *root = NULL, *newNode = NULL, *parent;
void createNode()
{
int item;
printf("\nEnter the data\n");
scanf("%d", &item);
newNode = (struct node *)malloc(sizeof(struct node));
newNode->data = item;
newNode->left = newNode->right = NULL;
}
void searchAndInsert(struct node *ptr)
{
/* value more than root node value insert at right */
if ((newNode->data > ptr->data) && (ptr->right != NULL))
searchAndInsert(ptr->right);
else if ((newNode->data > ptr->data) && (ptr->right == NULL))
ptr->right = newNode;
/* value less than root node value insert at left */
else if ((newNode->data < ptr->data) && (ptr->left != NULL))
searchAndInsert(ptr->left);
else if ((newNode->data < ptr->data) && (ptr->left == NULL))
ptr->left = newNode;
}
void insert()
{
createNode();
if (root == NULL)
root = newNode;
else
searchAndInsert(root);
}
/* To find the smallest element in the right sub tree */
int smallestLeftNode(struct node *ptr)
{
struct node *temp;
while (ptr->left != NULL)
{
temp = ptr;
ptr = ptr->left;
}
temp->left = NULL;
return ptr->data;
}
void deleteNode(struct node *toDelete)
{
int smallest;
if (parent == NULL || parent == toDelete)
printf("\nParent node not found\n");
else
{
if (parent->left == toDelete)
{
if (toDelete->left == NULL && toDelete->right == NULL)
{
parent->left = NULL;
free(toDelete);
}
else if (toDelete->left == NULL)
{
parent->left = toDelete->right;
free(toDelete);
}
else if (toDelete->right == NULL)
{
parent->left = toDelete->left;
free(toDelete);
}
else
{
if (toDelete->right->left != NULL)
{
smallest = smallestLeftNode(toDelete->right);
toDelete->data = smallest;
}
else
{
toDelete->data = toDelete->right->data;
toDelete->right = toDelete->right->right;
}
}
}
if (parent->right == toDelete)
{
if (toDelete->left == NULL && toDelete->right == NULL)
{
parent->right = NULL;
free(toDelete);
}
else if (toDelete->left == NULL)
{
parent->right = toDelete->right;
free(toDelete);
}
else if (toDelete->right == NULL)
{
parent->right = toDelete->left;
free(toDelete);
}
else
{
if (toDelete->right->left != NULL)
{
smallest = smallestLeftNode(toDelete->right);
toDelete->data = smallest;
}
else
{
toDelete->data = toDelete->right->data;
toDelete->right = toDelete->right->right;
}
}
}
}
}
void searchAndDelete(struct node *ptr, int item)
{
if (item > ptr->data)
{
parent = ptr;
searchAndDelete(ptr->right, item);
}
else if (item < ptr->data)
{
parent = ptr;
searchAndDelete(ptr->left, item);
}
else if (item == ptr->data)
deleteNode(ptr);
// else
// printf("\nItem not found\n");
}
void delete ()
{
int item;
if (root == NULL)
{
printf("\nTree is empty\n");
return;
}
printf("\nEnter the item to be deleted\n");
scanf("%d", &item);
parent = root;
searchAndDelete(root, item);
}
void inorder(struct node *ptr)
{
if (ptr != NULL)
{
inorder(ptr->left);
printf("%d ", ptr->data);
inorder(ptr->right);
}
}
void preorder(struct node *ptr)
{
if (ptr != NULL)
{
printf("%d ", ptr->data);
preorder(ptr->left);
preorder(ptr->right);
}
}
void postorder(struct node *ptr)
{
if (ptr != NULL)
{
postorder(ptr->left);
postorder(ptr->right);
printf("%d ", ptr->data);
}
}
void display(struct node *ptr)
{
if (ptr == NULL)
printf("\nTree is empty");
else
{
printf("\nInorder traversal:\n");
inorder(ptr);
printf("\n\nPreorder traversal:\n");
preorder(ptr);
printf("\n\nPostorder traversal:\n");
postorder(ptr);
}
printf("\n");
}
void main()
{
int choice;
while (1)
{
printf("\nBinary Search Tree\n__________________");
printf("\n1. Insert a node \n2. Display \n3. Delete a node \n4. Exit\n");
printf("\nEnter your choice\n");
scanf("%d", &choice);
switch (choice)
{
case 1:
insert();
break;
case 2:
display(root);
break;
case 3:
delete ();
break;
case 4:
exit(0);
default:
printf("\nIvalid choice.\n");
}
}
}