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DS/C/Lab/Week11/BSTFunctions.c

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+#include <stdio.h>
+#include <stdlib.h>
+
+// Define a TreeNode structure and use a typedef for convenience
+typedef struct TreeNode {
+    int data;
+    struct TreeNode* left;
+    struct TreeNode* right;
+} TreeNode;
+
+TreeNode* createNode(int data) {
+    TreeNode* newNode = (TreeNode*)malloc(sizeof(TreeNode));
+    newNode->data = data;
+    newNode->left = NULL;
+    newNode->right = NULL;
+    return newNode;
+}
+
+TreeNode* insertNode(TreeNode* root, int data) {
+    if (root == NULL) {
+        return createNode(data);
+    }
+
+    if (data < root->data) {
+        root->left = insertNode(root->left, data);
+    } else if (data > root->data) {
+        root->right = insertNode(root->right, data);
+    }
+
+    return root;
+}
+
+TreeNode* findMinNode(TreeNode* root) {
+    while (root->left != NULL) {
+        root = root->left;
+    }
+    return root;
+}
+
+TreeNode* deleteNode(TreeNode* root, int key) {
+    if (root == NULL)
+    {
+        return NULL;
+    }
+    if (key < root->data)
+    {
+        root->left = deleteNode(root->left, key);
+    }
+    else if (key > root->data)
+    {
+        root->right = deleteNode(root->right, key);
+    }
+    else // root is found
+    {
+        if (root->left == NULL)
+        {
+            TreeNode* temp = root->right;
+            free(root);
+            return temp;
+        }
+        else if (root->right == NULL)
+        {
+            TreeNode* temp = root->left;
+            free(root);
+            return temp;
+        }
+
+        TreeNode* temp = findMinNode(root->right);
+        root->data = temp->data;
+        root->right = deleteNode(root->right, temp->data);
+    }
+    return root;
+}
+
+void inorderTraversal(TreeNode* root) {
+    if (root != NULL) {
+        inorderTraversal(root->left);
+        printf("%d ", root->data);
+        inorderTraversal(root->right);
+    }
+}
+
+// Modify the Search function to include position tracking
+int SearchBST(TreeNode *root, int key, int *position) {
+    if (root == NULL) {
+        return 0; // Not found
+    }
+
+    int leftCount = SearchBST(root->left, key, position);
+    if (leftCount) {
+        return leftCount; // If found in left subtree
+    }
+
+    (*position)++; // Increment position for the current node
+    if (root->data == key) {
+        return *position; // Key found, return position
+    }
+
+    return SearchBST(root->right, key, position); // Search in right subtree
+}
+
+int main() {
+    TreeNode* root = NULL;
+    int choice, value;
+
+    printf("Elements are added to the tree in an inorder sequence.");
+
+    while (1) {
+        printf("\nMenu:\n");
+        printf("1. Insert a value\n");
+        printf("2. Delete a value\n");
+        printf("3. Search a value\n");
+        printf("4. Display the Tree (inorder traversal)\n");
+        printf("5. Exit\n");
+        printf("Enter your choice: ");
+        scanf("%d", &choice);
+
+        switch (choice) {
+            case 1:
+                printf("Enter a value to insert: ");
+                scanf("%d", &value);
+                root = insertNode(root, value);
+                break;
+
+            case 2:
+                printf("Enter a value to delete: ");
+                scanf("%d", &value);
+                root = deleteNode(root, value);
+                break;
+
+            case 3: {
+                printf("Enter the element to search: ");
+                scanf("%d", &value);
+                int position = 0;
+                int foundPosition = SearchBST(root, value, &position);
+                if (foundPosition) {
+                    printf("Key found at position: %d\n", foundPosition);
+                } else {
+                    printf("Key not found\n");
+                }
+                break;
+            }
+
+            case 4:
+                printf("Inorder traversal: ");
+                inorderTraversal(root);
+                printf("\n");
+                break;
+
+            case 5:
+                free(root); // Release memory
+                exit(0);
+
+            default:
+                printf("Invalid choice. Please try again.\n");
+        }
+    }
+
+    return 0;
+}