Compare the performance of ArrayList, Vector and ordinary arrays. You should do a series of experiments where you do each of the following tests with the three types of collection, timing the execution of each run. You should run each case several times on the same computer to obtain stable average timings. You are required to do the following: Construct very large collections by putting random integers into each collection one at a time. The random integers should range in value from zero to nine. You should make each collection large enough so that the running time takes at least 10 seconds to add the integers in the case of an ArrayList. You will have to do some initial experiments to find out what is a good size. You would use the same size of elements for ArrayList, Vector and the array. The ArrayList and Vector can be created by successively adding items and allowing them to grow, while the array has to be created at its full size and then populated with its contents. You could also try to experiment with the case where you do create the ArrayList and Vector initially with their full size.)