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AVL.cpp
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AVL TREE INSERTION
class Solution{
public:
/*You are required to complete this method */
int height(Node*root){
if(root==NULL){
return 0;
}
return root->height;
}
int bf(Node*root){
if(root==NULL)return 0;
return height(root->left)-height(root->right);
}
Node*right(Node*root){
Node*x=root->left;
Node*T2=x->right;
root->left=T2;
x->right=root;
root->height=max(height(root->left),height(root->right))+1;
x->height=max(height(x->left),height(x->right))+1;
return x;
}
Node*left(Node*root){
Node*y=root->right;
Node*T2=y->left;
root->right=T2;
y->left=root;
root->height=max(height(root->left),height(root->right))+1;
y->height=max(height(y->left),height(y->right))+1;
return y;
}
Node*create(int k){
Node*temp=new Node(k);
temp->left=NULL;
temp->right=NULL;
temp->height=1;
return temp;
}
Node* insertToAVL(Node* root, int data)
{
if(root==NULL)return create(data);
if(root->data>data){
root->left=insertToAVL(root->left,data);
}
else if(root->data<data){
root->right=insertToAVL(root->right,data);
}
else{
return root;
}
root->height=max(height(root->left),height(root->right))+1;
int bal = bf(root);
if(bal>1 && root->left->data>data){
return right(root);
}
if(bal<-1 && root->right->data<data){
return left(root);
}
if(bal>1 && root->left->data<data){
root->left=left(root->left);
return right(root);
}
if(bal<-1 && root->right->data>data){
root->right=right(root->right);
return left(root);
}
return root;
//Your code here
}
};
/*
AVL Tree Deletion
Hard Accuracy: 37.18% Submissions: 6161 Points: 8
Given a AVL tree and N values to be deleted from the tree. Write a function to delete a given value from the tree.
Example 1:
Tree =
4
/ \
2 6
/ \ / \
1 3 5 7
N = 4
Values to be deleted = {4,1,3,6}
Input: Value to be deleted = 4
Output:
5
/ \
2 6
/ \ \
1 3 7
Input: Value to be deleted = 1
Output:
5
/ \
2 6
\ \
3 7
Input: Value to be deleted = 3
Output:
5
/ \
2 6
\
7
Input: Value to be deleted = 6
Output:
5
/ \
2 7
*/
void inorder(Node*root,vector<int>&v, int data){
if(root==NULL){
return;
}
inorder(root->left,v,data);
if(root->data!=data){
v.push_back(root->data);
}
inorder(root->right,v,data);
}
Node*build(vector<int>v,int start,int end){
if(start>end){
return NULL;
}
int mid=(start+end)/2;
Node*temp=new Node(v[mid]);
temp->left=build(v,start,mid-1);
temp->right=build(v,mid+1,end);
return temp;
}
Node* deleteNode(Node* root, int data)
{
vector<int>v;
inorder(root,v,data);
return build(v,0,v.size()-1);
}