Task Create a class IntegerSet for which each object can hold integers in the range 0 through 100. A set is represented internally as an array of ones and zeros. Array element a[ i] is 1 if integer i is in the set. Array element a[j] is O if integer j is not in the set. • The default constructor initializes a set to the so-called “empty set," i.e., a set whose array representation contains all zeros. 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 third set's array is set to 1 if that element is 1 in either or both of the existing sets, and an element of the third set's array is set to O if that element is O in each of the existing sets).

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Task
Create a class IntegerSet for which each object can hold integers in the range 0
through 100. A set is represented internally as an array of ones and zeros. Array
element a[ i] is 1 if integer i is in the set. Array element a[ j] is O if integer j is not in
the set.
The default constructor initializes a set to the so-called "empty set," i.e., a set
whose array representation contains all zeros.
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 third set's array is
set to 1 if that element is 1 in either or both of the existing sets, and an element
of the third set's array is set to 0 if that element is 0 in each of the existing
sets).
Activ
Transcribed Image Text:Task Create a class IntegerSet for which each object can hold integers in the range 0 through 100. A set is represented internally as an array of ones and zeros. Array element a[ i] is 1 if integer i is in the set. Array element a[ j] is O if integer j is not in the set. The default constructor initializes a set to the so-called "empty set," i.e., a set whose array representation contains all zeros. 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 third set's array is set to 1 if that element is 1 in either or both of the existing sets, and an element of the third set's array is set to 0 if that element is 0 in each of the existing sets). Activ
• 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 third
set's array is set to 0 if that element is 0 in either or both of the existing sets,
and an element of the third set's array is set to 1 if that element is 1 in each of
the existing sets).
Provide an insertElement member function that inserts a new integer k into a
set (by setting a[ k] to 1).
Provide a deleteElement member function that deletes integer m (by setting a[
m] to 0).
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 array has a value of 1). Print --- for an empty set.
Provide an isEqualTo member function that determines whether two sets are
equal.
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.
Provide sets difference using the operator –. For example, s1 = s2 – s3 will
result in s1 having the elements in s2 that are not in s3.
• Provide set complement using the operator !. For example, s2 = !s1 will result
in s2 having all of the elements that are not in s1.
• Now write a driver program (main) to test your IntegerSet class.
Instantiate several IntegerSetobjects. Test that all your member functions work
properly.
Transcribed Image Text:• 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 third set's array is set to 0 if that element is 0 in either or both of the existing sets, and an element of the third set's array is set to 1 if that element is 1 in each of the existing sets). Provide an insertElement member function that inserts a new integer k into a set (by setting a[ k] to 1). Provide a deleteElement member function that deletes integer m (by setting a[ m] to 0). 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 array has a value of 1). Print --- for an empty set. Provide an isEqualTo member function that determines whether two sets are equal. 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. Provide sets difference using the operator –. For example, s1 = s2 – s3 will result in s1 having the elements in s2 that are not in s3. • Provide set complement using the operator !. For example, s2 = !s1 will result in s2 having all of the elements that are not in s1. • Now write a driver program (main) to test your IntegerSet class. Instantiate several IntegerSetobjects. Test that all your member functions work properly.
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