## Homework No. 3

The number of your particular task is the value of the
expression
`faculty_number%7`.

Write a complete program with at least one example in main function.

(0) [P-9.3] Extend class BinarySearchTree, shown in Code
Fragmant 9.3 through 9.5 to support the functions of the orderd
dictionary ADT, listed in Section 8.3.1.

(1) [P-9.5] Implement a class RestructableNodeBinaryTree
that supports the functions of the binary tree ADT, plus a function restructure() for performing a
rotation operation. This class is a component of the implementation of
an AVL tree given in Section 9.2.2.

(2) [P-9-7] Implement the functions of the ordered dictionary ADT using
AVL tree.

(3) [P-9.9] Write a C++ class that implements all the functions of an
ordered dictionary given in Chapter 8 using (2,4) tree.

(4) [P-9.10a] Write a C++ class that can take any red-black
tree and convert it into its corresponding (2,4) tree.

(5) [P-9.10b] Write a C++ class that can take
any (2,4) tree and convert it into its
corresponding red-black tree.

(6) [P-9-11] Write a C++ class that implements all the
functions of a dictionary given in Chapter 8 by means of red-black tree.