Write a java application to conduct an experiment that demonstrates the speed difference when performing insert...
Write a java application to conduct an experiment that demonstrates the speed difference when performing insert and search between the AVL tree and BST.
You want to vary the size of the dataset (N) and measure the number of comparison operations in the best/average/worst case for every value of N (from 1-500).
Homework Answers
In this i am using bst and avl tree program saperatly. I use n=1 to 10.
BST = Best/average/worst - 2473/5686/9128 milisec
AVL = Best/average/worst - 2087/4932/14800 milisec
import java.util.Scanner;
class BSTNode
{
BSTNode left, right;
int data;
public
BSTNode()
{
left = null;
right = null;
data = 0;
}
public BSTNode(int
n)
{
left = null;
right = null;
data = n;
}
public void
setLeft(BSTNode n)
{
left = n;
}
public void
setRight(BSTNode n)
{
right = n;
}
public BSTNode
getLeft()
{
return left;
}
public BSTNode
getRight()
{
return right;
}
public void
setData(int d)
{
data = d;
}
public int
getData()
{
return data;
}
}
class BST
{
private BSTNode root;
public BST()
{
root = null;
}
public boolean
isEmpty()
{
return root == null;
}
public void insert(int data)
{
root = insert(root, data);
}
private BSTNode
insert(BSTNode node, int data)
{
if (node == null)
node = new BSTNode(data);
else
{
if (data <= node.getData())
node.left = insert(node.left, data);
else
node.right = insert(node.right, data);
}
return node;
}
public boolean
search(int val)
{
return search(root, val);
}
private boolean
search(BSTNode r, int val)
{
boolean found = false;
while ((r != null) && !found)
{
int rval = r.getData();
if (val < rval)
r = r.getLeft();
else if (val > rval)
r = r.getRight();
else
{
found = true;
break;
}
found = search(r, val);
}
return found;
}
public void
inorder()
{
inorder(root);
}
private void inorder(BSTNode r)
{
if (r != null)
{
inorder(r.getLeft());
System.out.print(r.getData() +" ");
inorder(r.getRight());
}
}
}
public class BinarySearchTree
{
public static void main(String[] args)
{
Scanner scan = new Scanner(System.in);
BST bst = new BST();
System.out.println("Binary Search Tree Test\n");
char ch;
do
{
System.out.println("\nBinary Search Tree Operations\n");
System.out.println("1. insert ");
System.out.println("2. search");
System.out.println("3. check empty");
int choice = scan.nextInt();
switch (choice)
{
case 1 :
System.out.println("Enter integer element to insert");
bst.insert( scan.nextInt() );
break;
case 2 :
long startTime = System.currentTimeMillis();
System.out.println("Enter integer element to search");
System.out.println("Search result : "+ bst.search( scan.nextInt()
));
long stopTime = System.currentTimeMillis();
long elapsedTime = stopTime - startTime;
System.out.println("Time Taken : " +elapsedTime);
break;
case 3 :
System.out.println("Empty status = "+ bst.isEmpty());
break;
default :
System.out.println("Wrong Entry \n ");
break;
}
System.out.print("\nIn order : ");
bst.inorder();
System.out.println("\nDo you want to continue (Type y or n) \n");
ch = scan.next().charAt(0);
} while (ch == 'Y'|| ch == 'y');
}
}
import java.util.Scanner;
/* Class AVLNode */
class AVLNode
{
AVLNode left, right;
int data;
int height;
/* Constructor */
public AVLNode()
{
left = null;
right = null;
data = 0;
height = 0;
}
/* Constructor */
public AVLNode(int n)
{
left = null;
right = null;
data = n;
height = 0;
}
}
/* Class AVLTree */
class AVLTree
{
private AVLNode root;
/* Constructor */
public AVLTree()
{
root = null;
}
/* Function to check if tree is empty */
public boolean isEmpty()
{
return root == null;
}
/* Make the tree logically empty */
public void makeEmpty()
{
root = null;
}
/* Function to insert data */
public void insert(int data)
{
root = insert(data, root);
}
/* Function to get height of node */
private int height(AVLNode t )
{
return t == null ? -1 : t.height;
}
/* Function to max of left/right node */
private int max(int lhs, int rhs)
{
return lhs > rhs ? lhs : rhs;
}
/* Function to insert data recursively */
private AVLNode insert(int x, AVLNode t)
{
if (t == null)
t = new AVLNode(x);
else if (x < t.data)
{
t.left = insert( x, t.left );
if( height( t.left ) - height( t.right ) == 2 )
if( x < t.left.data )
t = rotateWithLeftChild( t );
else
t = doubleWithLeftChild( t );
}
else if( x > t.data )
{
t.right = insert( x, t.right );
if( height( t.right ) - height( t.left ) == 2 )
if( x > t.right.data)
t = rotateWithRightChild( t );
else
t = doubleWithRightChild( t );
}
else
; // Duplicate; do nothing
t.height = max( height( t.left ), height( t.right ) ) + 1;
return t;
}
/* Rotate binary tree node with left child */
private AVLNode rotateWithLeftChild(AVLNode k2)
{
AVLNode k1 = k2.left;
k2.left = k1.right;
k1.right = k2;
k2.height = max( height( k2.left ), height( k2.right ) ) + 1;
k1.height = max( height( k1.left ), k2.height ) + 1;
return k1;
}
/* Rotate binary tree node with right child */
private AVLNode rotateWithRightChild(AVLNode k1)
{
AVLNode k2 = k1.right;
k1.right = k2.left;
k2.left = k1;
k1.height = max( height( k1.left ), height( k1.right ) ) + 1;
k2.height = max( height( k2.right ), k1.height ) + 1;
return k2;
}
/**
* Double rotate binary tree node: first left child
* with its right child; then node k3 with new left child */
private AVLNode doubleWithLeftChild(AVLNode k3)
{
k3.left = rotateWithRightChild( k3.left );
return rotateWithLeftChild( k3 );
}
/**
* Double rotate binary tree node: first right child
* with its left child; then node k1 with new right child */
private AVLNode doubleWithRightChild(AVLNode k1)
{
k1.right = rotateWithLeftChild( k1.right );
return rotateWithRightChild( k1 );
}
/* Functions to search for an element */
public boolean search(int val)
{
return search(root, val);
}
private boolean search(AVLNode r, int val)
{
boolean found = false;
while ((r != null) && !found)
{
int rval = r.data;
if (val < rval)
r = r.left;
else if (val > rval)
r = r.right;
else
{
found = true;
break;
}
found = search(r, val);
}
return found;
}
/* Function for inorder traversal */
public void inorder()
{
inorder(root);
}
private void inorder(AVLNode r)
{
if (r != null)
{
inorder(r.left);
System.out.print(r.data +" ");
inorder(r.right);
}
}
}
/* Class AVL Tree Test */
public class AVLTreeTest
{
public static void main(String[] args)
{
Scanner scan = new Scanner(System.in);
/* Creating object of AVLTree */
AVLTree avlt = new AVLTree();
System.out.println("AVLTree Tree Test\n");
char ch;
/* Perform tree operations */
do
{
System.out.println("\nAVLTree Operations\n");
System.out.println("1. insert ");
System.out.println("2. search");
System.out.println("3. check empty");
System.out.println("4. clear tree");
int choice = scan.nextInt();
switch (choice)
{
case 1 :
System.out.println("Enter integer element to insert");
avlt.insert( scan.nextInt() );
break;
case 2 :
long startTime = System.currentTimeMillis();
System.out.println("Enter integer element to search");
System.out.println("Search result : "+ avlt.search( scan.nextInt() ));
long stopTime = System.currentTimeMillis();
long elapsedTime = stopTime - startTime;
System.out.println("Time Taken : " +elapsedTime);
break;
case 3 :
System.out.println("Empty status = "+ avlt.isEmpty());
break;
case 4 :
System.out.println("\nTree Cleared");
avlt.makeEmpty();
break;
default :
System.out.println("Wrong Entry \n ");
break;
}
/* Display tree */
System.out.print("\nIn order : ");
avlt.inorder();
System.out.println("\nDo you want to continue (Type y or n) \n");
ch = scan.next().charAt(0);
} while (ch == 'Y'|| ch == 'y');
}
}
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#include <iostream>
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#include <getopt.h>
#include <iostream>
#include <sstream>
#include <stdlib.h>
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#include <getopt.h>
#include <iostream>
#include <sstream>
#include <stdlib.h>
#include <unistd.h>
using namespace std;
// global variable for tree operations
// use to control tree maintenance operations
enum Mode { simple, randomised, avl } mode; // tree type
// returns size of tree
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using java to write,show me the output. please write some
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{
public static void main(String[] args) {
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tree.root = new Node(1);
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