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Lab6_AVL.cpp
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Lab6_AVL.cpp
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#include <stdio.h>
#include <stdlib.h>
#include <iostream>
#include <fstream>
#include <sstream>
#include <math.h>
#include <string.h>
#include <time.h>
using namespace std;
template <typename T>
class node
{
public:
T data;
node<T> *left = NULL;
node<T> *right = NULL;
int balance = 0;
node(T data)
{
this->data = data;
};
};
template <typename T>
class AVLtree
{
node<T> *root = NULL;
int number_of_node(node<T>* &root) {
int count1 = 1;
if (root == NULL) return 0;
count1 += number_of_node(root->left);
count1 += number_of_node(root->right);
return count1;
}
// TODO ID: 452
int height(node<T> *root) {
return (root==NULL)?-1:root->balance;
}
int max(int a, int b) {
return (a >= b) ? a : b;
}
node<T>* rightRotate(node<T>* root) {
node<T>* temp = root->left;
root->left = temp->right;
temp->right = root;
root->balance = max(height(root->left), height(root->right)) + 1;
temp->balance = max(height(temp->left), root->balance) + 1;
return temp;
}
node<T>* leftRotate(node<T>* root) {
node<T>* temp = root->right;
root->right = temp->left;
temp->left = root;
root->balance = max(height(root->left), height(root->right)) + 1;
temp->balance = max(height(temp->right), root->balance) + 1;
return temp;
}
node<T>* RLrotate(node<T>* root) {
root->left = leftRotate(root->left);
return rightRotate(root);
}
node<T>* LRRotate(node<T>* root) {
root->right = rightRotate(root->right);
return leftRotate(root);
}
node<T>* add(node<T>* &root, int data) {
if (root == NULL) {
root = new node<T>(data);
root->balance = 0;
root->left = root->right = NULL;
}
else if (data < root->data) {
root->left = add(root->left, data);
if (height(root->left) - height(root->right) == 2) {
if (data < root->left->data) root = rightRotate(root);
else root = RLrotate(root);
}
}
else if(data >= root->data){
root->right = add(root->right, data);
if (height(root->left) - height(root->right) == -2) {
if (data >= root->right->data) root = leftRotate(root);
else root = LRRotate(root);
}
}
root->balance = max(height(root->left), height(root->right)) + 1;
return root;
}
// ID: 453
node<T>* minRight(node<T>* root) {
node<T>* temp = root;
while (temp->left != NULL) {
temp = temp->left;
}
return temp;
}
node<T>* remove(node<T>* &root, int data) {
if (root == NULL) return root;
if (data < root->data) root->left = remove(root->left, data);
else if (data > root->data) root->right = remove(root->right, data);
else {
if ((root->left == NULL) || (root->right == NULL)) {
node<T>* temp = root->left ? root->left : root->right;
if (temp == NULL) {
temp = root;
root = NULL;
}
else *root = *temp;
free(temp);
}
else {
node<T>* temp = minRight(root->right);
root->data = temp->data;
root->right = remove(root->right, temp->data);
}
}
if (root == NULL) return root;
root->balance = max(height(root->left), height(root->right)) + 1;
int balance = getBalance(root);
if (balance > 1 && getBalance(root->left) >= 0) return rightRotate(root);
if (balance < -1 && getBalance(root->right) <= 0) return leftRotate(root);
if (balance > 1 && getBalance(root->left) < 0) {
root->left = leftRotate(root->left);
return rightRotate(root);
}
if (balance < -1 && getBalance(root->right) > 0) {
root->right = rightRotate(root->right);
return leftRotate(root);
}
return root;
}
void traverse_RNL(node<T>* &root, node<T>* &subroot){
if(root != NULL){
traverse_RNL(root->right,subroot);
add2(subroot,root->data);
traverse_RNL(root->left,subroot);
}
}
void add2(node<T>* &root, T data){
if(root == NULL){
root = new node<T>(data);
}
else add2(root->right,data);
}
void print(node<T> *&subroot)
{
if (subroot == 0)
{
cout << '*';
return;
}
cout << subroot->data;
cout << '(';
print(subroot->left);
cout << '|';
print(subroot->right);
cout << ')';
return;
}
public:
AVLtree() {}
// the add function:
bool add(T &data)
{
// TODO
return add(root,data);
}
void traverse_LNR(void f(node<T> *, void *), void *params = 0)
{
// TODO
f(root,params);
}
void print()
{
print(root);
}
T *search_max(bool f(node<T> *, void *), void *params = 0)
{
// TODO
traverse_RNL(root,subroot);
while(subroot){
if(f(subroot,params)){
return &subroot->data;
}
subroot=subroot->right;
}
return NULL;
}
int number_of_node()
{
// TODO
return number_of_node(root);
}
int height()
{
// TODO
return height(root);
}
};
class LinkList
{
public:
int data;
LinkList *next;
LinkList(int data)
{
this->data = data;
next = 0;
}
void add(int data)
{
LinkList *temp = this;
while (temp->next)
{
temp = temp->next;
}
temp->next = new LinkList(data);
temp = 0;
return;
}
};
template <typename T>
void toLinkList(node<T> *subroot, void *param)
{
// TODO
LinkList *p = static_cast<LinkList*>(param);
if (subroot) {
toLinkList(subroot->left, param);
p->add(subroot->data);
toLinkList(subroot->right, param);
}
}
template<typename T>
bool div_98(node<T> *subroot, void *params)
{
// TODO
if(subroot->data % 98 == 0) return true;
return false;
}
int main(int argc, char* argv[]) {
return 0;
}