Create a subclass of BinaryTree whose nodes have fields for storing preorder, post-order, and in-order numbers. Write methods preOrderNumber(), inOrderNumber(), and postOrderNumbers() that assign these numbers correctly. These methods should each run in O(n) time. Use c++

Q3 QuickSort Given the QuickSort implementation from class, provide an 18-element list that will take the least number of recursive calls of QuickSort to complete. As a counter-example, here is a list that will cause QuickSort to make the MOST number of recursive calls: public static List input() { return Accaxsaslist(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0); } wwwwwww And here's the QuickSort algorithm, for convenience: algorithm QuickSart Input: lists of integers 1st of size N Output: new list with the elements of lat in sorted order if N < 2 return st pivot Jat[N-1] left = new empty list right = new empty list for index = 0, 1, 2, if lst[i]<= pivot left.add(lat[i]) = else N-2 right add(lat[i]) return QuickSort(left) + [pivot] + QuickSort (right)

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.