A Simple Set Data Structure

To build a Set from scratch, first we must create the universe. Luckily, we can build it in Java, which saves a lot of time. For this part, we will build a Simpleset class that implements the basic operations necessary for a functioning data structure. To keep things simple, we're only going to build sets that hold ints. To this end you need to create a class called SimpleSet with the following: A private array of ints called data that will hold the actual numbers. It will also need the following methods: A no-parameter constructor that initialises the array, and any other variables you might have. Amethod called add that takes a single int parameter, and puts it in data if it's not there, but does nothing if it's already there. A method called remove that takes a single int parameter that removes that value if it's in data, but does nothing if it's not there. Amethod call contains that takes a single int and returns true if that element is in the set, and false otherwise. A method called size that returns the number of elements in the set. A method called isEmpty that returns true if there are no elements in the set, and false otherwise A method called to Array that returns an array containing exactly the elements of the set. A toString method that returns a String representation of the SimpleSet in the format' {x, y, z, ...}" where x, y, z, ... are replaced with the actual elements of the set. When implementing these, you may want to think about the following questions: How big should data be? What happens when data is full and we add a new element? What happens to the elements stored in data when we remove one? Is the size of the set the same as the length of data ? You have seen answers to these questions throughout the workshops and lectures, so think about where we might have done similar things before. Note that there is more than one right answer, the point here is for you to think about what you're trying to do, and pick a consistent approach. Note that there is a main method provided in the Runner class, but this does not form part of the tests, it's just there so you can run your code and test it manually. Finally, but not least, as the point here is for you to implement your own data structure an learn about how these things actually work