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Java Program To Implement Self-Balancing Binary Search Tree.

import java.util.Scanner;

class SBBSTNode {
SBBSTNode left, right;
int data;
int height;

public SBBSTNode() {
left = null;
right = null;
data = 0;
height = 0;
}

public SBBSTNode(int n) {
left = null;
right = null;
data = n;
height = 0;
}}

class SelfBalancingBST {
private SBBSTNode root;    

public SelfBalancingBST() {
root = null;
}

public boolean isEmpty() {
return root == null;
}

public void clear() {
root = null;
}

public void insert(int data) {
root = insert(data, root);
}

private int height(SBBSTNode t ) {
return t == null ? -1 : t.height;
}

private int max(int lhs, int rhs) {
return lhs > rhs ? lhs : rhs;
}

private SBBSTNode insert(int x, SBBSTNode t) {
if (t == null)
t = new SBBSTNode(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;
}

private SBBSTNode rotateWithLeftChild(SBBSTNode k2) {
SBBSTNode 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;
}

private SBBSTNode rotateWithRightChild(SBBSTNode k1) {
SBBSTNode 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;
}

private SBBSTNode doubleWithLeftChild(SBBSTNode k3) {
k3.left = rotateWithRightChild( k3.left );
return rotateWithLeftChild( k3 );
}

private SBBSTNode doubleWithRightChild(SBBSTNode k1) {
k1.right = rotateWithLeftChild( k1.right );
return rotateWithRightChild( k1 );
}

public int countNodes() {
return countNodes(root);
}

private int countNodes(SBBSTNode r) {

if (r == null)
return 0;

else {
int l = 1;
l += countNodes(r.left);
l += countNodes(r.right);
return l;
}}

public boolean search(int val) {
return search(root, val);
}

private boolean search(SBBSTNode 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;
}

public void inorder() {
inorder(root);
}

private void inorder(SBBSTNode r) {
if (r != null) {
inorder(r.left);

System.out.print(r.data +" ");
inorder(r.right);
}}

public void preorder() {
preorder(root);
}

private void preorder(SBBSTNode r) {
if (r != null) {
System.out.print(r.data +" ");

preorder(r.left);
preorder(r.right);
}}

public void postorder() {
postorder(root);
}

private void postorder(SBBSTNode r) {
if (r != null) {
postorder(r.left);

postorder(r.right);
System.out.print(r.data +" ");
}}}

public class BSTTest {
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);

SelfBalancingBST sbbst = new SelfBalancingBST();
char ch;

do {
System.out.println("\nSelf Balancing Binary Search Tree Operations: \n");
System.out.println("1. Insert ");
System.out.println("2. Search");
System.out.println("3. Count Nodes");
System.out.println("4. Check Empty");
System.out.println("5. Clear Tree");
System.out.print("Enter Your Choice: ");

int choice = scan.nextInt();
switch (choice) {

case 1 :
System.out.print("Enter An Integer To Insert: ");
sbbst.insert( scan.nextInt() );
break;

case 2 :
System.out.print("Enter An Integer To Search: ");
System.out.println("Search Result : "+ sbbst.search( scan.nextInt() ));
break;

case 3 :
System.out.println("Nodes = "+ sbbst.countNodes());
break;

case 4 :
System.out.println("Empty Status = "+ sbbst.isEmpty());
break;

case 5 :
System.out.println("\nTree Cleared");
sbbst.clear();
break;

default :
System.out.println("Wrong Entry ");
break;
}

System.out.print("\nPost Order : ");
sbbst.postorder();
System.out.print("\nPre Order : ");
sbbst.preorder();
System.out.print("\nIn Order : ");
sbbst.inorder();

System.out.println("\n\nDo You Want To Continue (Type Y OR N): ");
ch = scan.next().charAt(0);
} while (ch == 'Y'|| ch == 'y');
scan.close();

}}
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