Projects

1. Complete the SetAsArray class introduced in Program  by providing suitable definitions for the following methods: purge, isEmpty, isFull, getCount, accept, and getEnumeration. Write a test program and test your implementation.
2. Complete the SetAsBitVector class introduced in Program  by providing suitable definitions for the following methods: purge, isEmpty, isFull, getCount, accept, and getEnumeration. Write a test program and test your implementation.
3. Rewrite the insert, withdraw, and isMember methods of the SetAsBitVector implementation so that they use bitwise shift and mask operations rather than division and modulo operations. Compare the running times of the modified methods with the original ones and explain your observations.
4. Complete the MultisetAsArray class introduced in Program  by providing suitable definitions for the following methods: purge, getCount, accept, and getEnumeration. Write a test program and test your implementation.
5. Complete the MultisetAsLinkedList class introduced in Program  by providing suitable definitions for the following methods: purge, isEmpty, isFull, getCount, compareTo, accept, and getEnumeration. Write a test program and test your implementation.
6. Design and implement a multiset class in which the contents of the set are represented by a linked list of ordered pairs of the form , where i an the element of the universal set U and is a non-negative integer that counts the number of instances of the element i in the multiset. (See Exercises  and ).
7. Write a program to compute the number of ways in which a set of n elements can be partitioned. That is, compute where

   

   Hint: See Section .

Copyright © 1998 by Bruno R. Preiss, P.Eng. All rights reserved.