With this code how would I write the "Remove Method" for the AVL Tree in Java? Binary Node Class using for this project/*** Node for a binary tree of strings.** @author (lj)* @version (2023)*/public class BinNode{private String data;private BinNode left;private BinNode right;private int height; //height field as with AVL tree or Red Black Treeprivate boolean color; //Needed for Red Black Treepublic BinNode(){data = "";left = null;right = null;}public int getHeight() {return height;}public void setHeight(int height) {this.height = height;}public BinNode(String d){data = d;left = null;right = null;}public void setData(String d){this.data = d;}public String getData(){return this.data;}public void setLeft(BinNode l){this.left = l;}public BinNode getLeft(){return this.left;}public void setRight(BinNode r){this.right = r;}public BinNode getRight(){return this.right;}} AVL Tree am working on public class AVLTree extends BinaryTree{@Overridepublic void insert(String data) {this.setRoot(insert(this.getRoot(), data));}private BinNode insert(BinNode node, String data) {if (node == null) {return new BinNode(data);} else {int i = node.getData().compareTo(data);if (i < 0) {node.setRight(insert(node.getRight(), data));} else if (i >= 0) {node.setLeft(insert(node.getLeft(), data));}// Update the height of the current nodeint leftHeight = height(node.getLeft());int rightHeight = height(node.getRight());node.setHeight(1 + Math.max(leftHeight, rightHeight));// Check the balance factorint balance = getBalance(node);// Perform rotations if necessaryif (balance > 1) {if (data.compareTo(node.getLeft().getData()) < 0) {// Left-Left casereturn rightRotate(node);} else {// Left-Right casenode.setLeft(leftRotate(node.getLeft()));return rightRotate(node);}}if (balance < -1) {if (data.compareTo(node.getRight().getData()) > 0) {// Right-Right casereturn leftRotate(node);} else {// Right-Left casenode.setRight(rightRotate(node.getRight()));return leftRotate(node);}}return node;}}private int height(BinNode node) {if (node == null) {return 0;}return node.getHeight();}private int getBalance(BinNode node) {if (node == null) {return 0;}return height(node.getLeft()) - height(node.getRight());}private BinNode rightRotate(BinNode y) {BinNode x = y.getLeft();BinNode T2 = x.getRight();// Perform rotationx.setRight(y);y.setLeft(T2);// Update heightsy.setHeight(Math.max(height(y.getLeft()), height(y.getRight())) + 1);x.setHeight(Math.max(height(x.getLeft()), height(x.getRight())) + 1);return x;}private BinNode leftRotate(BinNode x) {BinNode y = x.getRight();BinNode T2 = y.getLeft();// Perform rotationy.setLeft(x);x.setRight(T2);// Update heightsx.setHeight(Math.max(height(x.getLeft()), height(x.getRight())) + 1);y.setHeight(Math.max(height(y.getLeft()), height(y.getRight())) + 1);return y;}}
With this code how would I write the "Remove Method" for the AVL Tree in Java?
Binary Node Class using for this project
/**
* Node for a binary tree of strings.
*
* @author (lj)
* @version (2023)
*/
public class BinNode
{
private String data;
private BinNode left;
private BinNode right;
private int height; //height field as with AVL tree or Red Black Tree
private boolean color; //Needed for Red Black Tree
public BinNode(){
data = "";
left = null;
right = null;
}
public int getHeight() {
return height;
}
public void setHeight(int height) {
this.height = height;
}
public BinNode(String d){
data = d;
left = null;
right = null;
}
public void setData(String d){
this.data = d;
}
public String getData(){
return this.data;
}
public void setLeft(BinNode l){
this.left = l;
}
public BinNode getLeft(){
return this.left;
}
public void setRight(BinNode r){
this.right = r;
}
public BinNode getRight(){
return this.right;
}
}
AVL Tree am working on
public class AVLTree extends BinaryTree{
@Override
public void insert(String data) {
this.setRoot(insert(this.getRoot(), data));
}
private BinNode insert(BinNode node, String data) {
if (node == null) {
return new BinNode(data);
} else {
int i = node.getData().compareTo(data);
if (i < 0) {
node.setRight(insert(node.getRight(), data));
} else if (i >= 0) {
node.setLeft(insert(node.getLeft(), data));
}
// Update the height of the current node
int leftHeight = height(node.getLeft());
int rightHeight = height(node.getRight());
node.setHeight(1 + Math.max(leftHeight, rightHeight));
// Check the balance factor
int balance = getBalance(node);
// Perform rotations if necessary
if (balance > 1) {
if (data.compareTo(node.getLeft().getData()) < 0) {
// Left-Left case
return rightRotate(node);
} else {
// Left-Right case
node.setLeft(leftRotate(node.getLeft()));
return rightRotate(node);
}
}
if (balance < -1) {
if (data.compareTo(node.getRight().getData()) > 0) {
// Right-Right case
return leftRotate(node);
} else {
// Right-Left case
node.setRight(rightRotate(node.getRight()));
return leftRotate(node);
}
}
return node;
}
}
private int height(BinNode node) {
if (node == null) {
return 0;
}
return node.getHeight();
}
private int getBalance(BinNode node) {
if (node == null) {
return 0;
}
return height(node.getLeft()) - height(node.getRight());
}
private BinNode rightRotate(BinNode y) {
BinNode x = y.getLeft();
BinNode T2 = x.getRight();
// Perform rotation
x.setRight(y);
y.setLeft(T2);
// Update heights
y.setHeight(Math.max(height(y.getLeft()), height(y.getRight())) + 1);
x.setHeight(Math.max(height(x.getLeft()), height(x.getRight())) + 1);
return x;
}
private BinNode leftRotate(BinNode x) {
BinNode y = x.getRight();
BinNode T2 = y.getLeft();
// Perform rotation
y.setLeft(x);
x.setRight(T2);
// Update heights
x.setHeight(Math.max(height(x.getLeft()), height(x.getRight())) + 1);
y.setHeight(Math.max(height(y.getLeft()), height(y.getRight())) + 1);
return y;
}
}
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