Design and write a complete test program to test if the BST class in Listing 25.4 meets all requirements.

Data from Listing 25.4

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1 publ1c class BST 1mplements Tree { protected TreeNode root: protected 1nt size = 0: protected java.util.Comparator c: 4 1** Create a default BST with a natural order comparator */ publ1c BST () { this.c = (e1, e2) -> ((Comparable)e1).compareTo (e2): 6 7 8 10 /** Create a BST with a specified comparator */ publ1c BST (java.util.Comparator c) { 11 12 13 this.c c: 14 15 ** Create a binary tree from an array of objects */ publ1c BST (E[] objects) { this.c = (et, e2) -> ((Comparable) e1).compareTo (e2): for (1nt i = 0; i< objects.length: i++) add (objects[i]): } 16 17 18 19 20 21 22 e0verride /** Return true if the element is in the tree / publ1c boolean search(E e) { TreeNode current = root: // Start from the root 23 24 25 26 wh1le (current != nul1) { 1f (c.compare (e. current.element) < 0) { current = current.left: 27 28 29 30 else 1f (c.compare (e. current.element) > 0) { current = current.right: 31 32 33 else // element matches current.element return true: // Element is found 34 35 36 37 38 return false: 39 40 eOverride /** Insert element e into the binary tree * Return true if the element is inserted successfully */ pub11c boolean insert(E e) { 1f (root == nul1) root = createNewNode (e): I1 Create a new root else { Il Locate the parent node TreeNode parent = nul1; 41 42 43 44 45 46 47 48 49 TreeNode current = root: wh1le (current != nul1) 1f (c.compare(e, current.element) < 0) { parent = current; current = current.left: 50 51 52 53 54 else 1f (c.compare (e, current.element) > 0) { parent = current: current = current.right; 55 56 57 58 59 else