The class A List has an array that can grow in size as objects are added to the list. Consider a similar class whose array also can shrink in size as objects are removed from the list. Accomplishing...

The class A List has an array that can grow in size as objects are added to the list. Consider a similar class whose array also can shrink in size as objects are removed from the list. Accomplishing this task will require two new private methods. The first new method checks whether we should reduce the size of the array:

This method returns true if the number of entries in the list is less than half the size of the array and the size of the array is greater than 20. The second new method creates a new array that is three quarters the size of the current array and then copies the objects in the list to the new array:

Implement each of these two methods for our new class. Then use these methods in the definition of the method remove.