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214 changes: 214 additions & 0 deletions avl_tree.c
Original file line number Diff line number Diff line change
@@ -0,0 +1,214 @@
#include<stdio.h>
#include<stdlib.h>

typedef struct Node{
int data;
struct Node* left;
struct Node* right;
int height;
} node;

int max(int a , int b){
return (a > b)? a:b;
}

node* getNode(int val){
node* temp = (node *)malloc(sizeof(node));

temp->data = val;
temp->left = NULL;
temp->right = NULL;
temp->height = 1;

return temp;
}

int getHeight(node* root){
if(root == NULL){
return 0;
}

return root->height;
}

node* rotateRight(node* root){
if(root == NULL) return root;

node* t1 = root->left;
node* t2 = t1->right;

t1->right = root;
root->left = t2;

root->height = 1 + max(getHeight(root->left),getHeight(root->right));
t1->height = 1 + max(getHeight(t1->left),getHeight(t1->right));

return t1;
}

node* rotateLeft(node* root){
if(root == NULL) return root;

node* t1 = root->right;
node* t2 = t1->left;

t1->left = root;
root->right = t2;

root->height = 1 + max(getHeight(root->left),getHeight(root->right));
t1->height = 1 + max(getHeight(t1->left),getHeight(t1->right));

return t1;
}

int balanceFactor(node* root){
if(root == NULL) return 0;

return (getHeight(root->left) - getHeight(root->right));
}

node* insertNode(node* root , int val){

node* n = getNode(val);

if(root == NULL) return n;

if(val > root->data){
root->right = insertNode(root->right,val);
}
else{
root->left = insertNode(root->left,val);
}

root->height = 1 + max(getHeight(root->left),getHeight(root->right));

int bal = balanceFactor(root);

if(bal > 1 && val < root->left->data){
return rotateRight(root);
}

if(bal > 1 && val > root->left->data){
root->left = rotateLeft(root->left);
return rotateRight(root);
}

if(bal < -1 && val > root->right->data){
return rotateLeft(root);
}

if(bal < -1 && val < root->right->data){
root->right = rotateRight(root->right);
return rotateLeft(root);
}

return root;
}


node* inorderSucc(node* root){

node* temp = root;

while(temp->left != NULL){
temp = temp->left;
}

return temp;
}

node* deleteNode(node* root , int val){
if(root == NULL) return root;

if(val > root->data){
root->right = deleteNode(root->right,val);
}
else if(val < root->data){
root->left = deleteNode(root->left,val);
}
else{

node* t;

if(root->left == NULL){

t = root->right;
free(root);
return t;
}
else if(root->right == NULL){

t = root->left;
free(root);
return t;
}
else{
node* temp = inorderSucc(root->right);

root->data = temp->data;
root->right = deleteNode(root->right,temp->data);
}

if(root == NULL){
return root;
}

root->height = 1 + max(getHeight(root->left),getHeight(root->right));

int bal = balanceFactor(root);

if(bal > 1 && balanceFactor(root->left) >= 0){
return rotateRight(root);
}

if(bal > 1 && balanceFactor(root->right) < 0){
root->left = rotateLeft(root->left);

return rotateRight(root->right);
}

if(bal < -1 && balanceFactor(root->right) <= 0){
return rotateLeft(root);
}

if(bal < -1 && balanceFactor(root->right) > 0){
root->right = rotateRight(root->right);
return rotateLeft(root);
}
}

return root;
}

void inorder(node* root){
if(root == NULL) return;

inorder(root->left);
printf("%d ",root->data);
inorder(root->right);
}

int main(){

node* root = NULL;

root = insertNode(root,1);
root = insertNode(root,2);
root = insertNode(root,3);
root = insertNode(root,4);
root = insertNode(root,5);
root = insertNode(root,6);
root = insertNode(root,7);

inorder(root);
puts("");

root = deleteNode(root,4);
root = deleteNode(root,1);
root = deleteNode(root,7);

inorder(root);
puts("");

return 0;
}