3.2.15 Give the sequences of nodes examined when the methods in BST are used to compute each of the following quantities for the tree drawn at right. a. floor ("Q") b. select(5) c. ceiling ("Q") d. rank("J") e. size("D", "T") f. keys ("D", "T")

JAVA please Given main() in the ShoppingList class, define an insertAtEnd() method in the ItemNode class that adds an element to the end of a linked list. DO NOT print the dummy head node. Ex. if the input is: 4 Kale Lettuce Carrots Peanuts where 4 is the number of items to be inserted; Kale, Lettuce, Carrots, Peanuts are the names of the items to be added at the end of the list. The output is: Kale Lettuce Carrots Peanuts Code provided in the assignment ItemNode.java:

24. Add the following new method in the BST class. /** Returns the number of nodes in this binary tree */ public int getNumberofNodes () Requirements: a. Don't use return size; b.write a recursive method that returns the number of nodes starting from www the root.

8. Write down the insertBefore method which inserts a new element in the list before the node containing the given element. The method takes as parameters a dummy headed doubly linked circular list, the element existing in the list and new element to be added. public void insertBefore (Node head, Object elem, Object newElement) { //to do OR def insertBefore (head, elem, newElement): pass insertBefore (head, 3, 50) Sample Input Sample Output Ox21 2 223 240 O x21 2 22 50 ² 3 2 4 0