Algorithms-and-Data-Structures/C-Binary-Search-Tree/main.c

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2024-05-02 20:14:36 +01:00
// Binary Search Tree operations in C
#include <stdio.h>
#include <stdlib.h>
struct node {
int key;
struct node *left, *right;
};
// Create a node
struct node *newNode(int item) {
struct node *newNode = (struct node *)malloc(sizeof(struct node));
newNode -> key = item;
newNode -> left = NULL;
newNode -> right = NULL;
return newNode;
}
// Inorder Traversal
void inorder(struct node *root) {
if (root != NULL) {
// Traverse left
inorder(root->left);
// Traverse root
printf("%d -> ", root->key);
// Traverse right
inorder(root->right);
}
}
// Insert a node
struct node *insert(struct node *node, int key) {
// Return a new node if the tree is empty
if (node == NULL) return newNode(key);
// Traverse to the right place and insert the node
if (key < node->key) {
node->left = insert(node->left, key);
} else {
node->right = insert(node->right, key);
}
return node;
}
// Find the inorder successor
struct node *minValueNode(struct node *node) {
struct node *current = node;
// Find the leftmost leaf
while (current && current->left != NULL) {
current = current->left;
}
return current;
}
// Deleting a node
struct node *deleteNode(struct node *root, int key) {
// Return if the tree is empty
if (root == NULL) return root;
// Find the node to be deleted
if (key < root->key)
root->left = deleteNode(root->left, key);
else if (key > root->key)
root->right = deleteNode(root->right, key);
else {
// If the node is with only one child or no child
if (root->left == NULL) {
struct node *temp = root->right;
free(root);
return temp;
} else if (root->right == NULL) {
struct node *temp = root->left;
free(root);
return temp;
}
// If the node has two children
struct node *temp = minValueNode(root->right);
// Place the inorder successor in position of the node to be deleted
root->key = temp->key;
// Delete the inorder successor
root->right = deleteNode(root->right, temp->key);
}
return root;
}
// Driver code
int main() {
struct node *root = NULL;
root = insert(root, 8);
root = insert(root, 3);
root = insert(root, 1);
root = insert(root, 6);
root = insert(root, 7);
root = insert(root, 10);
root = insert(root, 14);
root = insert(root, 4);
printf("Inorder traversal: ");
inorder(root);
printf("\nAfter deleting 10\n");
root = deleteNode(root, 10);
printf("Inorder traversal: ");
inorder(root);
}