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jan7.cpp
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jan7.cpp
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#include<iostream>
using namespace std;
struct node
{
int info;
node * right , * left;
};
class AVL
{
node * root;
public:
AVL();
~AVL();
void insertion(int);
void inserting(int , node *&); //I wanted to make Root Private thats why I need two funs for deleting and Inserting
void removeall(node * = NULL);
void in_order_traversal(node * = NULL);
void remove(int);
int removing(int , node *&);
int BalanceFactor(node * = NULL);
int Height(node * = NULL);
void RotateRight(node *&);
void RotateLeft(node *&);
};
int main()
{
cout << "Case 1. Parent Node Is Balanced" << endl;
AVL tree1;
tree1.insertion(50);
tree1.insertion(40);
tree1.insertion(60);
tree1.insertion(30);
tree1.insertion(45);
tree1.insertion(55);
tree1.insertion(65);
tree1.insertion(10);
tree1.insertion(35);
tree1.in_order_traversal();
cout << endl;
tree1.remove(10);
tree1.in_order_traversal();
cout << endl;
cout << "\nCase 2. Parent Node having BF of 1 or -1 and after Deletion it gets 0" << endl;
AVL tree2;
tree2.insertion(50);
tree2.insertion(40);
tree2.insertion(60);
tree2.insertion(30);
tree2.insertion(45);
tree2.insertion(55);
tree2.insertion(65);
tree2.insertion(35);
tree2.in_order_traversal();
cout << endl;
tree2.remove(35);
tree2.in_order_traversal();
cout << endl;
cout << "\nCase 3. Parent Node having Balance of -1 or +1. After Deletion it gets +2 or -2. Its left or Right Subtree is Balanced" << endl;
AVL tree3;
tree3.insertion(70);
tree3.insertion(40);
tree3.insertion(85);
tree3.insertion(30);
tree3.insertion(50);
tree3.insertion(75);
tree3.insertion(86);
tree3.insertion(45);
tree3.insertion(55);
tree3.in_order_traversal();
cout << endl;
tree3.remove(30);
tree3.in_order_traversal();
cout << endl;
cout << "\nCase 4. Parent Node having Balance of -1 or +1.\nAfter Deletion it gets +2 or -2.\nIts left or Right Subtree had the balance opposite to the Parent Tree of deleted node\ne.g if Parent Had balance of +1,Its Right Subtree has balance of -1" << endl;
AVL tree4;
tree4.insertion(70);
tree4.insertion(40);
tree4.insertion(85);
tree4.insertion(30);
tree4.insertion(50);
tree4.insertion(75);
tree4.insertion(86);
tree4.insertion(45);
tree4.in_order_traversal();
cout << endl;
tree4.remove(30);
tree4.in_order_traversal();
cout << endl;
cout << "\nCase 5. Parent Node having Balance of -1 or +1.\nAfter Deletion it gets +2 or -2.\nIts left or Right Subtree had the balance same to the Parent Tree of deleted node\ne.g if Parent Had balance of +1,Its Right Subtree has balance of +1" << endl;
AVL tree5;
tree5.insertion(70);
tree5.insertion(40);
tree5.insertion(85);
tree5.insertion(30);
tree5.insertion(50);
tree5.insertion(75);
tree5.insertion(86);
tree5.insertion(55);
tree5.in_order_traversal();
cout << endl;
tree5.remove(30);
tree5.in_order_traversal();
cout << endl;
return 0;
}
AVL::AVL()
{
root = NULL;
}
AVL::~AVL()
{
removeall();
}
void AVL::insertion(int key)
{
inserting(key , root);
}
void AVL::inserting(int key , node *& temp)
{
if(root == NULL)
{
root = new node;
root->right = root->left = NULL;
root->info = key;
return;
}
if(temp->info == key)
{
cout << "Duplication Not Allowed!" << endl;
return;
}
if(temp->info > key)
{
if(temp->left == NULL)
{
temp->left = new node;
temp->left->left = temp->left->right = NULL;
temp->left->info = key;
return;
}
else
{
inserting(key , temp->left);
}
}
else
{
if(temp->right == NULL)
{
temp->right = new node;
temp->right->left = temp->right->right = NULL;
temp->right->info = key;
return;
}
else
{
inserting(key, temp->right);
}
}
int BF = BalanceFactor(temp);
if(BF == 2)
{
if(key < temp->left->info)
{
RotateRight(temp);
}
else
{
RotateLeft(temp->left);
RotateRight(temp);
}
}
if(BF == -2)
{
if(key > temp->right->info)
{
RotateLeft(temp);
}
else
{
RotateRight(temp->right);
RotateLeft(temp);
}
}
}
void AVL::remove(int info)
{
removing(info , root);
}
int AVL::removing(int info,node *& temp)
{
if(root == NULL)
{
cout << "Empty Tree!" << endl;
return 0;
}
int prev_BF;
int prev_case = 0;
node * temp1 = NULL;
if(root->info == info)
{
temp1 = root;
if(root->right == NULL)
{
root = root->left;
delete temp1;
return 0;
}
if(root->left == NULL)
{
root = root->right;
delete temp1;
return 0;
}
temp1 = root->right;
if(temp1->left == NULL)
{
root->right = temp1->right;
delete temp1;
}
else{
while(temp1->left != NULL)
temp1 = temp1->left;
root->info = temp1->info;
prev_case = removing(temp->info , root->right); //Because the actual node that's going to be deleted is sucessor of node
}
}
else{
if(temp->info > info)
{
if(temp->left != NULL)
{
if(temp->left->info == info)
{
if(temp->left->left == NULL && temp->left->right == NULL)
{
delete temp->left;
temp->left = NULL;
}
else if((temp->left->left == NULL && temp->left->right != NULL) || (temp->left->left != NULL && temp->left->right == NULL))
{
temp1 = temp->left;
if(temp1->left == NULL)
temp->left = temp1->right;
else
temp->left = temp1->left;
delete temp1;
}
else
{
temp1 = temp->left->right;
while(temp1->left != NULL)
temp1 = temp1->left;
int tempinfo = temp1->info;
prev_case = removing(temp1->info , temp->left); //Because the actual node that's going to be deleted is sucessor of node
temp->left->info = tempinfo;
}
}
else
{
prev_case = removing(info,temp->left);
}
}
else
{
cout << "Nothing to delete!" << endl;
return 1;
}
}
else
{
if(temp->right != NULL)
{
if(temp->right->info == info)
{
if(temp->right->left == NULL && temp->right->right == NULL)
{
delete temp->right;
temp->right = NULL;
}
else if((temp->right->left == NULL && temp->right->right != NULL) || (temp->right->left != NULL && temp->right->right == NULL))
{
temp1 = temp->right;
if(temp1->left == NULL)
temp->right = temp1->right;
else
temp->right = temp->left;
delete temp1;
}
else
{
temp1 = temp->right->right;
while(temp1->left != NULL)
temp1 = temp1->left;
int tempinfo = temp1->info;
prev_case = removing(temp1->info , temp->right); //Because the actual node that's going to be deleted is sucessor of node
temp->right->info = tempinfo;
}
}
else
{
prev_case = removing(info , temp->right);
}
}
else
{
cout << "Nothing to Delete!" << endl;
return 1;
}
}
}
if(prev_case == 1 || prev_case == 3)
return 1;
int BF = BalanceFactor(temp);
if(BF == 1 || BF == -1)
return 1;
if(BF == 0)
return 2;
if(BF == -2)
{
int BF_right_subtree = BalanceFactor(temp->right);
if(BF_right_subtree == 0)
{
RotateLeft(temp);
return 3;
}
if(BF_right_subtree == 1)
{
RotateRight(temp->right);
RotateLeft(temp);
return 4;
}
if(BF_right_subtree == -1)
{
RotateLeft(temp);
return 5;
}
}
if(BF == 2)
{
int BF_left_subtree = BalanceFactor(temp->left);
if(BF_left_subtree == 0)
{
RotateRight(temp);
return 3;
}
if(BF_left_subtree == -1)
{
RotateLeft(temp->left);
RotateRight(temp);
return 4;
}
if(BF_left_subtree == 1)
{
RotateRight(temp);
return 5;
}
}
return 0; //This has no meaning. There was just some warning(NOT ERROR) that it might reach here at non returning function but it won't because there are always one of these 5 cases
}
int AVL::BalanceFactor(node * temp)
{
if(temp == NULL)
return 0;
int l_subtree = 0;
int r_subtree = 0;
if(temp->left != NULL)
{
l_subtree++;
l_subtree += Height(temp->left);
}
if(temp->right != NULL)
{
r_subtree++;
r_subtree += Height(temp->right);
}
return l_subtree - r_subtree;
}
int AVL::Height(node * temp)
{
if(temp == NULL)
return 0;
int count_r = 0;
int count_l = 0;
if(temp->left != NULL)
{
count_l++;
count_l += Height(temp->left);
}
if(temp->right != NULL)
{
count_r++;
count_r += Height(temp->right);
}
if(count_r > count_l)
return count_r;
else
return count_l;
}
void AVL::RotateRight(node *& temp)
{
node * temp2 = temp->left;
temp->left = temp2->right;
temp2->right = temp;
temp = temp2;
}
void AVL::RotateLeft(node *& temp)
{
node * temp2 = temp->right;
temp->right = temp2->left;
temp2->left = temp;
temp = temp2;
}
void AVL::removeall(node * temp)
{
if(temp == NULL)
temp = root;
if(temp->left != NULL)
removeall(temp->left);
if(temp->right != NULL)
removeall(temp->right);
delete temp;
}
void AVL::in_order_traversal(node * temp)
{
if(root == NULL)
{
cout << "Empty List" << endl;
return;
}
if(temp == NULL)
temp = root;
if(temp->left != NULL)
in_order_traversal(temp->left);
cout << temp->info << ' ';
if(temp->right != NULL)
in_order_traversal(temp->right);
}