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bstlinked.c
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#include <stdio.h>
#include <stdlib.h>
struct treeNode {
int data;
struct treeNode *left, *right;
};
struct treeNode *root = NULL;
/* create a new node with the given data */
struct treeNode* createNode(int data) {
struct treeNode *newNode;
newNode = (struct treeNode *) malloc(sizeof (struct treeNode));
newNode->data = data;
newNode->left = NULL;
newNode->right = NULL;
return(newNode);
}
/* insertion in binary search tree */
void insertion(struct treeNode **node, int data) {
if (*node == NULL) {
*node = createNode(data);
} else if (data < (*node)->data) {
insertion(&(*node)->left, data);
} else if (data > (*node)->data) {
insertion(&(*node)->right, data);
}
}
/* deletion in binary search tree */
void deletion(struct treeNode **node, struct treeNode **parent, int data) {
struct treeNode *tmpNode, *tmpParent;
if (*node == NULL)
return;
if ((*node)->data == data) {
/* deleting the leaf node */
if (!(*node)->left && !(*node)->right) {
if (parent) {
/* delete leaf node */
if ((*parent)->left == *node)
(*parent)->left = NULL;
else
(*parent)->right = NULL;
free(*node);
} else {
/* delete root node with no children */
free(*node);
}
/* deleting node with one child */
} else if (!(*node)->right && (*node)->left) {
/* deleting node with left child alone */
tmpNode = *node;
(*parent)->right = (*node)->left;
free(tmpNode);
*node = (*parent)->right;
} else if ((*node)->right && !(*node)->left) {
/* deleting node with right child alone */
tmpNode = *node;
(*parent)->left = (*node)->right;
free(tmpNode);
(*node) = (*parent)->left;
} else if (!(*node)->right->left) {
/*
* deleting a node whose right child
* is the smallest node in the right
* subtree for the node to be deleted.
*/
tmpNode = *node;
(*node)->right->left = (*node)->left;
(*parent)->left = (*node)->right;
free(tmpNode);
*node = (*parent)->left;
} else {
/*
* Deleting a node with two children.
* First, find the smallest node in
* the right subtree. Replace the
* smallest node with the node to be
* deleted. Then, do proper connections
* for the children of replaced node.
*/
tmpNode = (*node)->right;
while (tmpNode->left) {
tmpParent = tmpNode;
tmpNode = tmpNode->left;
}
tmpParent->left = tmpNode->right;
tmpNode->left = (*node)->left;
tmpNode->right =(*node)->right;
free(*node);
*node = tmpNode;
}
} else if (data < (*node)->data) {
/* traverse towards left subtree */
deletion(&(*node)->left, node, data);
} else if (data > (*node)->data) {
/* traversing towards right subtree */
deletion(&(*node)->right, node, data);
}
}
/* search the given element in binary search tree */
void findElement(struct treeNode *node, int data) {
if (!node)
return;
else if (data < node->data) {
findElement(node->left, data);
} else if (data > node->data) {
findElement(node->right, data);
} else
printf("data found: %d", node->data);
return;
}
void traverse(struct treeNode *node) {
if (node != NULL) {
traverse(node->left);
printf("%3d", node->data);
traverse(node->right);
}
return;
}
int main() {
int data, ch;
while (1) {
printf("1. Insertion in Binary Search Tree\n");
printf("2. Deletion in Binary Search Tree\n");
printf("3. Search Element in Binary Search Tree\n");
printf("4. Inorder traversal\n5.Exit\n");
printf("Enter your choice:");
scanf("%d", &ch);
switch (ch) {
case 1:
while (1) {
printf("Enter your data:");
scanf("%d", &data);
insertion(&root, data);
printf("Continue Insertion(0/1):");
scanf("%d", &ch);
if (!ch)
break;
}
break;
case 2:
printf("Enter your data:");
scanf("%d", &data);
deletion(&root, NULL, data);
break;
case 3:
printf("Enter value for data:");
scanf("%d", &data);
findElement(root, data);
break;
case 4:
printf("Inorder Traversal:");
traverse(root);
printf(" ");
break;
case 5:
exit(0);
default:
printf("You have entered wrong option");
break;
}
}
return 0;
}