Implement the BinarySearchTree class. The BinarySearchTree class extends the BinaryTree class which implements the Tree interface. All can be found below. Your assignment is to implement all of the abstract methods of the BinaryTree class recursively.

They are:

• Insert.
• Iterator (non-recursive).
• Remove.
• Search.

You must also implement an Iterator inner class for the BinarySearchTree class. You must submit a modified BinarySearchTree.java file with your source code.

Do not submit and do not modify the Tree.java or BinaryTree.java files.

/* * * Tree.java * */ public interface Tree extends Iterable { void insert(E data); void remove(E key); boolean search(E key); } /* * * BinaryTree.java * */ public abstract class BinaryTree implements Tree { protected class Node { protected Node(T data) { this.data = data; } protected T data; protected Node left; protected Node right; } protected Node root; } /* * * BinarySearchTree.java * */ import java.util.Iterator; public class BinarySearchTree> extends BinaryTree { public void insert(E data) { return; } public Iterator iterator() { return null; } public void remove(E key) { return; } public boolean search(E key) { return false; } }