HW 6 AVL tree implementation

The AVL tree implementation provided in the text (and posted on piazza) is missing two
rotation methods:
rotateWithRightChild (AvlNode k2) – a single rotation required because k2 is out
of balance due to an insertion of a new node into the right subtree of k2’s right child.
Note, Weiss did the other single routine for us, rotateWithLightChild, which is
shown on page 135
doubleWithRightChild (AvlNode k3) a double rotation required when k3 is out of
balance due to the insertion of a new node into the left subtree of k3’s right child.
Note, Weiss did the other double rotation for us, doubleWithLeftChild is on page
136.
1. Implement rotateWithRightChild, modeling your code after that provided (pages
listed above).
2. Implement doubleWithRightChild, modeling your code after that provided (pages
listed above).
3. Implement a more efficient version of doubleWithRightChild without the
inefficiency of doing two single rotations – that is, write code that does not call other
methods of single-rotation methods.
Make sure that the code that you submit contains both doubleWithRightChild methods, just
have one commented out when you submit. For your testing purposes, comment out
whichever one you are not testing.
Include a test driver that shows that calls the methods.
What to submit: Submit AvlTree.java to OAKS no later than Tuesday, August 4,
10:00pm.
Note: so that you can see what your trees look like, I’ve included a displayTree method that
you can use. Null links are shown as ____. And this method (actually two methods) requires
two imports:
import java.util.LinkedList;
import java.util.Queue;