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Binary Search Tree Implementation in C
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/* Binary Search Tree Implementation in C */ | |
/* Harish R */ | |
#include<stdio.h> | |
#include<stdlib.h> | |
struct TreeNode | |
{ | |
int data; | |
struct TreeNode* left; | |
struct TreeNode* right; | |
}; | |
struct TreeNode* makeEmpty(struct TreeNode* root) | |
{ | |
if(root != NULL) | |
{ | |
makeEmpty(root->left); | |
makeEmpty(root->right); | |
free(root); | |
} | |
return NULL; | |
} | |
struct TreeNode* insert(struct TreeNode* root, int x) | |
{ | |
if(root == NULL) | |
{ | |
root = malloc(sizeof(struct TreeNode)); | |
root->data = x; | |
root->left = root->right = NULL; | |
} | |
else if(x < root->data) | |
root->left = insert(root->left, x); | |
else if(x > root->data) | |
root->right = insert(root->right, x); | |
return root; | |
} | |
struct TreeNode* findMin(struct TreeNode* root) | |
{ | |
if(root == NULL) | |
return NULL; | |
else if(root->left == NULL) | |
return root; | |
else | |
return findMin(root->left); | |
} | |
struct TreeNode* findMax(struct TreeNode* root) | |
{ | |
if(root == NULL) | |
return NULL; | |
else if(root->right == NULL) | |
return root; | |
else | |
return findMax(root->right); | |
} | |
struct TreeNode* find(struct TreeNode* root, int x) | |
{ | |
if(root == NULL) | |
return NULL; | |
else if(x < root->data) | |
return find(root->left, x); | |
else if(x > root->data) | |
return find(root->right, x); | |
else | |
return root; | |
} | |
int findHeight(struct TreeNode* root) | |
{ | |
int lefth, righth; | |
if(root == NULL) | |
return -1; | |
lefth = findHeight(root->left); | |
righth = findHeight(root->right); | |
return (lefth > righth ? lefth : righth)+1; | |
} | |
struct TreeNode* delete(struct TreeNode* root, int x) | |
{ | |
struct TreeNode* temp; | |
if(root == NULL) | |
return NULL; | |
else if(x < root->data) | |
root->left = delete(root->left, x); | |
else if(x > root->data) | |
root->right = delete(root->right, x); | |
else if(root->left && root->right) | |
{ | |
temp = findMin(root->right); | |
root->data = temp->data; | |
root->right = delete(root->right, root->data); | |
} | |
else | |
{ | |
temp = root; | |
if(root->left == NULL) | |
root = root->right; | |
else if(root->right == NULL) | |
root = root->left; | |
free(temp); | |
} | |
return root; | |
} | |
void inorder(struct TreeNode* root) | |
{ | |
if(root == NULL) | |
return; | |
inorder(root->left); | |
printf("%d ", root->data); | |
inorder(root->right); | |
} | |
int main() | |
{ | |
struct TreeNode *root; | |
struct TreeNode *temp; | |
root = NULL; | |
root = insert(root, 15); | |
root = insert(root, 10); | |
root = insert(root, 25); | |
root = insert(root, 7); | |
printf("Height: %d\n", findHeight(root)); | |
root = insert(root, 13); | |
root = insert(root, 18); | |
root = insert(root, 30); | |
printf("Height: %d\n", findHeight(root)); | |
root = insert(root, 3); | |
root = insert(root, 8); | |
root = insert(root, 16); | |
printf("Height: %d\n", findHeight(root)); | |
root = insert(root, 22); | |
root = insert(root, 35); | |
inorder(root); printf("\n"); | |
temp = findMax(root); | |
printf("Max Element: %d\n", temp->data); | |
temp = findMin(root); | |
printf("Min Element: %d\n", temp->data); | |
root = delete(root, 8); | |
root = delete(root, 16); | |
inorder(root); printf("\n"); | |
root = delete(root, 18); | |
inorder(root); printf("\n"); | |
root = delete(root, 10); | |
inorder(root); printf("\n"); | |
root = delete(root, 35); | |
inorder(root); printf("\n"); | |
root = makeEmpty(root); | |
return 0; | |
} | |
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