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##### Project Description:You are to implement a Set ADT using a singly linked list where your data structure in your class...

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Project Description;You are to implement a Set ADT using a singly linked list where your data structure in your class will look something like this;Note that this is a singly linked list with a dummy head node. Each node has two fields: the object and the link. You shouldn't assume that data elements are integers. Instead, they should be objects.;An element either belongs to a set or it does not. No duplicates are allowed.;Here are the standard operations you must build into you set class. Note there are no exceptions raised.;contain: returns Boolean value. Returns true if the given object is contained in the set and false otherwise.;remove: returns Boolean value. Returns true if the node containing the object is removed from the set and false otherwise.;addElement: returns Boolean value. Returns false if element not added because it is already in the set and true if the element is added.;size: returns an integer equal to the number of distinct objects are in the Set.;subsetOf: returns a Boolean value true if every element in set A is in set B and false otherwise.;isEqual: returns true if both sets contain the same elements where order in either set does not count.;union: if A, B, C are sets, has the form C = A.union(B). Union returns a Set that contains all the elements in set A and B, but only list duplicates once.;intersection: if A, B, C are sets, has form C = A.intersection(B) and returns a set containing only elements that are common to both A and B, but no duplicates.;complement: if A, B, C are sets, has form C = A.complement(B) and returns a set containing only elements that are in A but not in B.;toString: displays a message that indicates an object's state. An object's state is the data that is stored in the object's fields at any giving moment.;Remember from your CS130 that the empty set is a set and the empty set is a subset of every set. If A={1, 3, 5, 7}, B={3, 4, 5}, D = {}, THEN;if C=A.union(B): then C={1, 3, 4, 5, 7};if C=A.intersection(B): then C={3, 5};if C=A.complement(B): then C={1, 7};D.subsetOf(A) returns true, D.subsetOf(B) returns true, D.subsetOf(C) returns true and, D.subsetOf(D) also returns true.;A.subsetOf(B) returns false, but (A.intersection(B)).subsetOf(A) returns true;You may implement the Set using either a Node outside the Set class with all its getters and setters or the way we covered in class where the node is a private class of set.;You must write a test program to test you Set ADT. Remember that when you test subset, union, intersection and complement, test each method with at least the following five cases;Case 1: A and B are equal but distinct sets, for example, A = {1, 2, 3}, B = {2, 1, 3};Case 2: A and B are such that they have different sizes but one is a subset of the other, for example, A = {1}, B = {1, 2};Case 3: A and B are non-empty and different in size but have common elements, for example, A = {1, 2, 3}, B = {2, 3, 4, 5};Case 4: they are non-empty with nothing in common, for example, A = {1}, B = {2, 3}, and;Case 5: one is non-empty and the other empty.

Paper#73595 | Written in 18-Jul-2015

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