In java, create a class, `Sum` that extends an `ArrayList` of `Integer` by adding a public method, `int sum()` that returns the sum of all elements in the list of Integers (add the elements up each time the method is called). Second, once you have the above working properly, *enhance* the solution such that the sum is *stored* and maintained as a public instance field of `Sum` (the field is public ). *Instead of recalculating* the total each time the `sum()` method is called, it should just be able to *return the value of the sum field*. To do this, you'll need to adjust the value of your sum field each time the contents of the array list change. Note that in order to do this correctly, many of the standard methods of the `ArrayList` class must be overwritten so that they are able to adjust the sum as elements are added or removed from the list. For this question you need only override the four 'add' methods: * `boolean add(Integer i)`, * `void add(int index, Integer i)`, * `boolean addAll(Collection c)`, and * `boolean addAll(int index, Collection c)`.