3 CONTOH PROGRAM TREE DAN AVL TREE PADA C++
3 CONTOH PROGRAM TREE DAN AVL TREE PADA C++
PROGRAM 1 : BINARY SEARCH TREE
/** C++ Program to Implement a Binary Search Tree using Linked Lists
*/
#include <iostream>
#include <conio.h>
using namespace std;
struct tree
{
tree *l, *r;
int data;
}*root = NULL, *p = NULL, *np = NULL, *q;
void create()
{
int value,c = 0;
while (c < 7)
{
if (root == NULL)
{
root = new tree;
cout<<"enter value of root node\n";
cin>>root->data;
root->r=NULL;
root->l=NULL;
}
else
{
p = root;
cout<<"enter value of node\n";
cin>>value;
while(true)
{
if (value < p->data)
{
if (p->l == NULL)
{
p->l = new tree;
p = p->l;
p->data = value;
p->l = NULL;
p->r = NULL;
cout<<"value entered in left\n";
break;
}
else if (p->l != NULL)
{
p = p->l;
}
}
else if (value > p->data)
{
if (p->r == NULL)
{
p->r = new tree;
p = p->r;
p->data = value;
p->l = NULL;
p->r=NULL;
cout<<"Value entered in right \n";
break;
}
else if (p->r!=NULL)
{
p=p->r;
}
}
}
}
c++;
}
}
void inorder (tree *p)
{
if(p!=NULL)
{
inorder(p->l);
cout<<p->data<<endl;
inorder(p->r);
}
}
void preorder(tree *p)
{
if(p!=NULL)
{
cout<<p->data<<endl;
preorder(p->l);
preorder(p->r);
}
}
void postorder(tree *p)
{
if (p!=NULL)
{
postorder(p->l);
postorder(p->r);
cout<<p->data<<endl;
}
}
int main()
{
create();
cout<<"Printing traversal in inorder \n";
inorder(root);
cout<<"Printing traversal in preorder \n";
preorder(root);
cout<<"Printing traversal in postorder \n";
postorder(root);
getch();
}
PROGRAM 2 : BINARY SEARCH TREE 2
#include <iostream>using namespace std;
class BinarySearchTree{
private:
struct tree_node{
tree_node* left;
tree_node* right;
int data;
};
tree_node* root;
public:
BinarySearchTree(){
root = NULL;
}
bool isEmpty() const { return root==NULL; }
void print_preorder();
void preorder(tree_node*);
void insert(int);
};
// Smaller elements go left
// larger elements go right
void BinarySearchTree::insert(int d){
tree_node* t = new tree_node;
tree_node* parent;
t->data = d;
t->left = NULL;
t->right = NULL;
parent = NULL;
// is this a new tree?
if(isEmpty()) root = t;
else{
//Note: ALL insertions are as leaf nodes
tree_node* curr;
curr = root;
// Find the Node's parent
while(curr){
parent = curr;
if(t->data > curr->data)
curr = curr->right;
else
curr = curr->left;
}
if(t->data < parent->data)
parent->left = t;
else
parent->right = t;
}}
void BinarySearchTree::print_preorder(){
preorder(root);
}
void BinarySearchTree::preorder(tree_node* p){
if(p != NULL){
cout<<" "<<p->data<<" ";
if(p->left) preorder(p->left);
if(p->right) preorder(p->right);
}
else return;
}
int main(){
BinarySearchTree b;
int ch,tmp;
while(1){
cout<<endl<<endl;
cout<<" Binary Search Tree Operations "<<endl;
cout<<" ----------------------------- "<<endl;
cout<<" 1. Insertion/Creation "<<endl;
cout<<" 2. Pre-Order Traversal "<<endl;
cout<<" 3. Exit "<<endl;
cout<<" Enter your choice : ";
cin>>ch;
switch(ch){
case 1 : cout<<" Enter Number to be inserted : ";
cin>>tmp;
b.insert(tmp);
break;
case 2 : cout<<endl;
cout<<" Pre-Order Traversal "<<endl;
cout<<" -------------------"<<endl;
b.print_preorder();
break;
case 3 :
return 0;
}}}
PROGRAM 3 : AVL TREE
/** C++ program to Implement AVL Tree
*/
#include<iostream>
#include<cstdio>
#include<sstream>
#include<algorithm>
#define pow2(n) (1 << (n))
using namespace std;
/*
* Node Declaration
*/
struct avl_node
{
int data;
struct avl_node *left;
struct avl_node *right;
}*root;
/*
* Class Declaration
*/
class avlTree
{
public:
int height(avl_node *);
int diff(avl_node *);
avl_node *rr_rotation(avl_node *);
avl_node *ll_rotation(avl_node *);
avl_node *lr_rotation(avl_node *);
avl_node *rl_rotation(avl_node *);
avl_node* balance(avl_node *);
avl_node* insert(avl_node *, int );
void display(avl_node *, int);
void inorder(avl_node *);
void preorder(avl_node *);
void postorder(avl_node *);
avlTree()
{
root = NULL;
}
};
/*
* Main Contains Menu
*/
int main()
{
int choice, item;
avlTree avl;
while (1)
{
cout<<"\n---------------------"<<endl;
cout<<"AVL Tree Implementation"<<endl;
cout<<"\n---------------------"<<endl;
cout<<"1.Insert Element into the tree"<<endl;
cout<<"2.Display Balanced AVL Tree"<<endl;
cout<<"3.InOrder traversal"<<endl;
cout<<"4.PreOrder traversal"<<endl;
cout<<"5.PostOrder traversal"<<endl;
cout<<"6.Exit"<<endl;
cout<<"Enter your Choice: ";
cin>>choice;
switch(choice)
{
case 1:
cout<<"Enter value to be inserted: ";
cin>>item;
root = avl.insert(root, item);
break;
case 2:
if (root == NULL)
{
cout<<"Tree is Empty"<<endl;
continue;
}
cout<<"Balanced AVL Tree:"<<endl;
avl.display(root, 1);
break;
case 3:
cout<<"Inorder Traversal:"<<endl;
avl.inorder(root);
cout<<endl;
break;
case 4:
cout<<"Preorder Traversal:"<<endl;
avl.preorder(root);
cout<<endl;
break;
case 5:
cout<<"Postorder Traversal:"<<endl;
avl.postorder(root);
cout<<endl;
break;
case 6:
exit(1);
break;
default:
cout<<"Wrong Choice"<<endl;
}
}
return 0;
}
/*
* Height of AVL Tree
*/
int avlTree::height(avl_node *temp)
{
int h = 0;
if (temp != NULL)
{
int l_height = height (temp->left);
int r_height = height (temp->right);
int max_height = max (l_height, r_height);
h = max_height + 1;
}
return h;
}
/*
* Height Difference
*/
int avlTree::diff(avl_node *temp)
{
int l_height = height (temp->left);
int r_height = height (temp->right);
int b_factor= l_height - r_height;
return b_factor;
}
/*
* Right- Right Rotation
*/
avl_node *avlTree::rr_rotation(avl_node *parent)
{
avl_node *temp;
temp = parent->right;
parent->right = temp->left;
temp->left = parent;
return temp;
}
/*
* Left- Left Rotation
*/
avl_node *avlTree::ll_rotation(avl_node *parent)
{
avl_node *temp;
temp = parent->left;
parent->left = temp->right;
temp->right = parent;
return temp;
}
/*
* Left - Right Rotation
*/
avl_node *avlTree::lr_rotation(avl_node *parent)
{
avl_node *temp;
temp = parent->left;
parent->left = rr_rotation (temp);
return ll_rotation (parent);
}
/*
* Right- Left Rotation
*/
avl_node *avlTree::rl_rotation(avl_node *parent)
{
avl_node *temp;
temp = parent->right;
parent->right = ll_rotation (temp);
return rr_rotation (parent);
}
/*
* Balancing AVL Tree
*/
avl_node *avlTree::balance(avl_node *temp)
{
int bal_factor = diff (temp);
if (bal_factor > 1)
{
if (diff (temp->left) > 0)
temp = ll_rotation (temp);
else
temp = lr_rotation (temp);
}
else if (bal_factor < -1)
{
if (diff (temp->right) > 0)
temp = rl_rotation (temp);
else
temp = rr_rotation (temp);
}
return temp;
}
/*
* Insert Element into the tree
*/
avl_node *avlTree::insert(avl_node *root, int value)
{
if (root == NULL)
{
root = new avl_node;
root->data = value;
root->left = NULL;
root->right = NULL;
return root;
}
else if (value < root->data)
{
root->left = insert(root->left, value);
root = balance (root);
}
else if (value >= root->data)
{
root->right = insert(root->right, value);
root = balance (root);
}
return root;
}
/*
* Display AVL Tree
*/
void avlTree::display(avl_node *ptr, int level)
{
int i;
if (ptr!=NULL)
{
display(ptr->right, level + 1);
printf("\n");
if (ptr == root)
cout<<"Root -> ";
for (i = 0; i < level && ptr != root; i++)
cout<<" ";
cout<<ptr->data;
display(ptr->left, level + 1);
}
}
/*
* Inorder Traversal of AVL Tree
*/
void avlTree::inorder(avl_node *tree)
{
if (tree == NULL)
return;
inorder (tree->left);
cout<<tree->data<<" ";
inorder (tree->right);
}
/*
* Preorder Traversal of AVL Tree
*/
void avlTree::preorder(avl_node *tree)
{
if (tree == NULL)
return;
cout<<tree->data<<" ";
preorder (tree->left);
preorder (tree->right);
}
/*
* Postorder Traversal of AVL Tree
*/
void avlTree::postorder(avl_node *tree)
{
if (tree == NULL)
return;
postorder ( tree ->left );
postorder ( tree ->right );
cout<<tree->data<<" ";
}
