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AVL Tree implementation in C++
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#include <iostream> | |
using namespace std; | |
struct Node{ | |
int val; | |
Node* left; | |
Node* right; | |
int ht; | |
}; | |
class AVLTree{ | |
public: | |
Node* root=NULL; | |
int height(Node* curnode){ | |
if((curnode)==NULL){ | |
return 0; | |
} | |
return (max(height((curnode)->left),height((curnode)->right))+1); | |
} | |
void _insert(Node** curnode, int key){ | |
if(key<(*curnode)->val){ | |
if((*curnode)->left==NULL){ | |
Node* temp=new Node; | |
temp->val=key; | |
temp->left=NULL; | |
temp->right=NULL; | |
temp->ht=0; | |
(*curnode)->left=temp; | |
} | |
else | |
_insert(&((*curnode)->left),key); | |
} | |
else if(key>(*curnode)->val){ | |
if((*curnode)->right==NULL){ | |
Node* temp=new Node; | |
temp->val=key; | |
temp->left=NULL; | |
temp->right=NULL; | |
temp->ht=0; | |
(*curnode)->right=temp; | |
} | |
else | |
_insert(&((*curnode)->right),key); | |
} | |
balanceTree(curnode); | |
} | |
void insert(int key){ | |
if(root==NULL){ | |
Node* temp=new Node; | |
temp->val=key; | |
temp->left=NULL; | |
temp->right=NULL; | |
temp->ht=0; | |
root=temp; | |
return; | |
} | |
_insert(&root,key); | |
} | |
void balanceTree(Node** curnode){ | |
if((*curnode)==NULL){ | |
return; | |
} | |
int bfactor,l,r; | |
if((*curnode)->left==NULL){ | |
l=-1; | |
} | |
else{ | |
l=(*curnode)->left->ht; | |
} | |
if((*curnode)->right==NULL){ | |
r=-1; | |
} | |
else{ | |
r=(*curnode)->right->ht; | |
} | |
(*curnode)->ht=max(l,r)+1; | |
bfactor=l-r; | |
if(bfactor==-2){ | |
if((*curnode)->right->left==NULL){ | |
l=-1; | |
} | |
else{ | |
l=(*curnode)->right->left->ht; | |
} | |
if((*curnode)->right->right==NULL){ | |
r=-1; | |
} | |
else{ | |
r=(*curnode)->right->right->ht; | |
} | |
bfactor=l-r; | |
if(bfactor!=1){ | |
(*curnode)->ht-=2; | |
Node* temp=(*curnode)->right; | |
(*curnode)->right=temp->left; | |
temp->left=(*curnode); | |
*curnode=temp; | |
if((*curnode)->left!=NULL){ | |
l=(*curnode)->left->ht; | |
} | |
else{ | |
l=-1; | |
} | |
if((*curnode)->right!=NULL){ | |
r=(*curnode)->right->ht; | |
} | |
else{ | |
r=-1; | |
} | |
(*curnode)->ht=max(l,r)+1; | |
return; | |
} | |
else{ | |
Node** act=&(*curnode)->right; | |
(*act)->ht-=1; | |
Node* temp=(*act)->left; | |
temp->ht+=1; | |
(*act)->left=temp->right; | |
temp->right=(*act); | |
*act=temp; | |
Node* temp2=(*curnode)->right; | |
(*curnode)->ht-=2; | |
(*curnode)->right=temp2->left; | |
temp2->left=(*curnode); | |
*curnode=temp2; | |
if((*curnode)->left!=NULL){ | |
l=(*curnode)->left->ht; | |
} | |
else{ | |
l=-1; | |
} | |
if((*curnode)->right!=NULL){ | |
r=(*curnode)->right->ht; | |
} | |
else{ | |
r=-1; | |
} | |
(*curnode)->ht=max(l,r)+1; | |
return; | |
} | |
} | |
if(bfactor==2){ | |
if((*curnode)->left->left==NULL){ | |
l=-1; | |
} | |
else{ | |
l=(*curnode)->left->left->ht; | |
} | |
if((*curnode)->left->right==NULL){ | |
r=-1; | |
} | |
else{ | |
r=(*curnode)->left->right->ht; | |
} | |
bfactor=l-r; | |
if(bfactor!=-1){ | |
(*curnode)->ht-=2; | |
Node* temp=(*curnode)->left; | |
(*curnode)->left=temp->right; | |
temp->ht+=1; | |
temp->right=(*curnode); | |
*curnode=temp; | |
if((*curnode)->left!=NULL){ | |
l=(*curnode)->left->ht; | |
} | |
else{ | |
l=-1; | |
} | |
if((*curnode)->right!=NULL){ | |
r=(*curnode)->right->ht; | |
} | |
else{ | |
r=-1; | |
} | |
(*curnode)->ht=max(l,r)+1; | |
return; | |
} | |
else{ | |
Node** act=&(*curnode)->left; | |
(*act)->ht-=1; | |
Node* temp=(*act)->right; | |
temp->ht+=1; | |
(*act)->right=temp->left; | |
temp->left=(*act); | |
*act=temp; | |
Node* temp2=(*curnode)->left; | |
(*curnode)->ht-=2; | |
(*curnode)->left=temp2->right; | |
temp2->right=(*curnode); | |
*curnode=temp2; | |
if((*curnode)->left!=NULL){ | |
l=(*curnode)->left->ht; | |
} | |
else{ | |
l=-1; | |
} | |
if((*curnode)->right!=NULL){ | |
r=(*curnode)->right->ht; | |
} | |
else{ | |
r=-1; | |
} | |
(*curnode)->ht=max(l,r)+1; | |
return; | |
} | |
} | |
} | |
void predecessorDelete(Node** actual, Node** curnode){ | |
_predecessorDelete(actual,&((*curnode)->left)); | |
balanceTree(curnode); | |
} | |
void _predecessorDelete(Node** actual, Node** curnode){ | |
if((*curnode)->right!=NULL){ | |
_predecessorDelete(actual,&((*curnode)->right)); | |
} | |
else{ | |
(*actual)->val=(*curnode)->val; | |
*curnode=(*curnode)->left; | |
return; | |
} | |
balanceTree(curnode); | |
} | |
void successorDelete(Node** actual, Node** curnode){ | |
_successorDelete(actual,&((*curnode)->right)); | |
balanceTree(curnode); | |
} | |
void _successorDelete(Node** actual, Node** curnode){ | |
if((*curnode)->left!=NULL){ | |
_successorDelete(actual,&((*curnode)->left)); | |
} | |
else{ | |
(*actual)->val=(*curnode)->val; | |
*curnode=(*curnode)->right; | |
return; | |
} | |
balanceTree(curnode); | |
} | |
void _deleteNode(Node** curnode, int key){ | |
if((*curnode)==NULL){ | |
return; | |
} | |
if(key<(*curnode)->val){ | |
_deleteNode(&((*curnode)->left),key); | |
} | |
else if(key>(*curnode)->val){ | |
_deleteNode(&((*curnode)->right),key); | |
} | |
else{ | |
if((*curnode)->left==NULL && (*curnode)->right==NULL){ | |
*curnode=NULL; | |
return; | |
} | |
else if((*curnode)->left!=NULL){ | |
predecessorDelete(curnode,curnode); | |
} | |
else{ | |
successorDelete(curnode,curnode); | |
} | |
} | |
balanceTree(curnode); | |
} | |
void deleteNode(int key){ | |
if(root==NULL){ | |
return; | |
} | |
_deleteNode(&root, key); | |
} | |
void levelorder(){ | |
if(root==NULL){ | |
return; | |
} | |
for(int i=0;i<height(root);i++){ | |
_levelorder(root,i,i); | |
} | |
} | |
void _levelorder(Node* curnode, int i, int j){ | |
if(curnode==NULL){ | |
cout<<"level: "<<j<<" NULL"<<endl; | |
return; | |
} | |
if(i==0){ | |
cout<<"level: "<<j<<" "<<curnode->val<<endl; | |
return; | |
} | |
_levelorder(curnode->left,i-1,j); | |
_levelorder(curnode->right,i-1,j); | |
} | |
}; | |
int main(){ | |
AVLTree avl; | |
// single rotate -2,-1 | |
avl.insert(20); | |
avl.insert(10); | |
avl.insert(28); | |
avl.insert(32); | |
avl.insert(5); | |
avl.insert(30); | |
avl.insert(34); | |
avl.insert(29); | |
// single rotate 2,1 | |
// avl.insert(40); | |
// avl.insert(30); | |
// avl.insert(50); | |
// avl.insert(35); | |
// avl.insert(20); | |
// avl.insert(10); | |
// avl.insert(25); | |
// double rotate -2,1 | |
// avl.insert(20); | |
// avl.insert(10); | |
// avl.insert(15); | |
// avl.insert(28); | |
// avl.insert(5); | |
// avl.insert(25); | |
// avl.insert(32); | |
// avl.insert(4); | |
// avl.insert(30); | |
// avl.insert(34); | |
// avl.insert(29); | |
// avl.insert(31); | |
avl.deleteNode(30); | |
avl.levelorder(); | |
avl.inorder(); | |
} |
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