public class Node {    int key;    Node left, right, parent;      public Node() {}    public Node(int num) {       key = num;       left = null;       right = null;       parent = null;    } } The most important thing is that a node as an object has four attributes: key, left, right, parent. Key holds the value of the node. Left and right refer to the left and right children nodes. Parent refers to the parent node. Please design a class named BST and include the following attributes/methods: Insert: This method accepts one parameter, the target value (an integer), and will add a new node with that value into the Binary Search Tree. This method returns the root of the updated Binary Search Tree. public Node insert(int target) Search: This method accepts one parameter, the target value, and returns a boolean. If the target value is found, this method returns true, otherwise false. public boolean search(int target) Delete: This method accepts one parameter, the target value, and will delete the node with the target value if such a node exists. This method returns the root of the updated Binary Search Tree. You might need to create a set of other supporting methods for the delete method. public Node delete(int target) The above methods should NOT be declared as static, and you are required to use the given Node class. Please use the following code as a starting point.  import java.util.*; class BST {        // do not change this        private Node root;        private ArrayList data;        // DO NOT MODIFY THIS METHOD        public BST() {                root = null;

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public class Node {

   int key;

   Node left, right, parent;  

   public Node() {}

   public Node(int num) {

      key = num;

      left = null;

      right = null;

      parent = null;

   }

}

The most important thing is that a node as an object has four attributes: key, left, right, parent. Key holds the value of the node. Left and right refer to the left and right children nodes. Parent refers to the parent node.

Please design a class named BST and include the following attributes/methods:

  • Insert: This method accepts one parameter, the target value (an integer), and will add a new node with that value into the Binary Search Tree. This method returns the root of the updated Binary Search Tree.

public Node insert(int target)

  • Search: This method accepts one parameter, the target value, and returns a boolean. If the target value is found, this method returns true, otherwise false.

public boolean search(int target)

  • Delete: This method accepts one parameter, the target value, and will delete the node with the target value if such a node exists. This method returns the root of the updated Binary Search Tree. You might need to create a set of other supporting methods for the delete method.

public Node delete(int target)

The above methods should NOT be declared as static, and you are required to use the given Node class.

Please use the following code as a starting point. 

import java.util.*;

class BST {

       // do not change this

       private Node root;

       private ArrayList<Integer> data;

       // DO NOT MODIFY THIS METHOD

       public BST() {

               root = null;  

               data = new ArrayList<Integer>(0);

               }

       // DO NOT MODIFY THIS METHOD 

       public ArrayList<Integer> getData() {

               return data;

       }

       // DO NOT MODIFY THIS METHOD

       public void inOrderTraversal() {

               inOrderTraversal(root);

       }

       // DO NOT MODIFY THIS METHOD

       private void inOrderTraversal(Node node) {

               if (node != null) {

                      inOrderTraversal(node.left);         

                      data.add(node.key);         

                      inOrderTraversal(node.right);    

               } 

       }

       // search   

       public boolean search(int target) {  

               // remove this line   

               return false;

       }

 

       // insert

       public Node insert(int target) {        

               // remove this line   

               return root;

       }

       // note: you may need to implement several supporting methods for delete 

       public Node delete(int target) {  

               // remove this line  

               return root;

       }

       // you are welcome to add any supporting methods

       }

 

 

 

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