9.21 C++

Create class IntegerSet for which each object can hold integers in the range 0 through 100. Represent the set internally as a vector of bool values. Element a[i] is true if integer i is in the set. Element a[j] is false if integer j is not in the set. The default constructor initializes a set to the so-called "empty set, " i.e., a set for which all elements contain false. a) Provide member functions for the common set operations. For example, provide a unionOfSets member function that creates a third set that is the set-theoretic union of two existing sets (i.e., an element of the result is set to true if that element is true in either or both of the existing sets, and an element of the result is set to false if that element is false in each of the existing sets). b) Provide an intersectionOfSets member function which creates a third set which is the set-theoretic intersection of two existing sets (i.e., an element of the result is set to false if that element is false in either or both of the existing sets, and an element of the result is set to true if that element is true in each of the existing sets). c) Provide an insertElement member function that places a new integer k into a set by setting a[k] to true. Provide a deleteEnement member function that deletes integer m by setting a[m] to false. d) Provide a printSet member function that prints a set as a list of numbers separated by spaces. Print only those elements that are present in the set (i.e., their position in the vector has a value of true). Print --- for an empty set. e) Provide an isEqualTo member function that determines whether two sets are equal. f) Provide an additional constructor that receives an array of integers and the size of that array and uses the array to initialize a set object. Now write a driver program to test your IntegerSet class. Instantiate several IntegerSet objects. Test that all your member functions work properly. (Time Class Modification) It would be perfectly reasonable for the Time class of Figs. 9.4-9.5 to represent the time internally as the number of seconds since midnight rather than the three integer values hour, minute and second. Clients could use the same public methods and get the same results. Modify the Time class of Fig. 9.4 to implement the time as the number of seconds since midnight and show that there is no visible change in functionality to the clients of the class