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DS/C/endsem-omnibus/bst.c
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DS/C/endsem-omnibus/bst.c
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#include <stdio.h>
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#include <stdlib.h>
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// Structure for a binary tree node containing data and pointers to left and right children
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struct node {
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int data;
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struct node *left, *right;
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};
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// Function to create a new node with given value
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// Allocates memory and initializes node with NULL children
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struct node* createNode(int value) {
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struct node* newNode = malloc(sizeof(struct node));
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newNode->data = value;
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newNode->left = NULL;
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newNode->right = NULL;
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return newNode;
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}
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// Function to insert a new value into the BST
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// Recursively finds correct position and inserts new node while maintaining BST properties
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struct node* insert(struct node* root, int value) {
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if (root == NULL) return createNode(value);
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if (value < root->data)
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root->left = insert(root->left, value);
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else if (value > root->data)
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root->right = insert(root->right, value);
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return root;
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}
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// Function to find the node with minimum value in a BST
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// Used as a helper function for deletion
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struct node* minValueNode(struct node* node) {
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struct node* current = node;
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while (current && current->left != NULL)
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current = current->left;
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return current;
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}
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// Function to delete a node with given value from BST
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// Handles three cases: no child, one child, and two children
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struct node* deleteNode(struct node* root, int value) {
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if (root == NULL) return root;
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if (value < root->data)
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root->left = deleteNode(root->left, value);
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else if (value > root->data)
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root->right = deleteNode(root->right, value);
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else {
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// Node with only one child or no child
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if (root->left == NULL) {
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struct node* temp = root->right;
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free(root);
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return temp;
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}
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else if (root->right == NULL) {
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struct node* temp = root->left;
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free(root);
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return temp;
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}
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// Node with two children: Get the inorder successor (smallest in the right subtree)
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struct node* temp = minValueNode(root->right);
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root->data = temp->data;
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root->right = deleteNode(root->right, temp->data);
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}
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return root;
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}
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// Function to perform inorder traversal of BST
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// Visits left subtree, root, then right subtree (LNR)
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void inorder(struct node* root) {
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if (root != NULL) {
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inorder(root->left);
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printf("%d ", root->data);
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inorder(root->right);
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}
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}
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// Function to perform preorder traversal of BST
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// Visits root, left subtree, then right subtree (NLR)
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void preorder(struct node* root) {
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if (root != NULL) {
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printf("%d ", root->data);
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preorder(root->left);
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preorder(root->right);
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}
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}
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// Function to perform postorder traversal of BST
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// Visits left subtree, right subtree, then root (LRN)
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void postorder(struct node* root) {
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if (root != NULL) {
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postorder(root->left);
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postorder(root->right);
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printf("%d ", root->data);
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}
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}
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// Function to search for a key in BST
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// Returns pointer to node if found, NULL if not found
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struct node* search(struct node* root, int key) {
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if (root == NULL || root->data == key)
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return root;
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if (root->data < key)
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return search(root->right, key);
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return search(root->left, key);
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}
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// Main function providing menu-driven interface for BST operations
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int main() {
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struct node* root = NULL;
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int choice, value;
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while(1) {
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printf("\n1. Insert\n2. Delete\n3. Inorder\n4. Preorder\n");
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printf("5. Postorder\n6. Search\n7. Exit\n");
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printf("Enter your choice: ");
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scanf("%d", &choice);
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switch(choice) {
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case 1:
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printf("Enter value to insert: ");
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scanf("%d", &value);
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root = insert(root, value);
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break;
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case 2:
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printf("Enter value to delete: ");
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scanf("%d", &value);
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root = deleteNode(root, value);
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break;
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case 3:
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printf("Inorder traversal: ");
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inorder(root);
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printf("\n");
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break;
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case 4:
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printf("Preorder traversal: ");
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preorder(root);
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printf("\n");
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break;
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case 5:
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printf("Postorder traversal: ");
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postorder(root);
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printf("\n");
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break;
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case 6:
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printf("Enter value to search: ");
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scanf("%d", &value);
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if(search(root, value) != NULL)
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printf("Found\n");
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else
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printf("Not Found\n");
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break;
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case 7:
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exit(0);
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default:
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printf("Invalid choice!\n");
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}
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}
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return 0;
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}
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