Write a Java program that generates a list of 100 random numbers between 1 and 1000, inclusive. The program should implement two different sorting algorithms to sort the random list of numbers. Run tests on the two algorithms and report (tabulated and commentary) on your findings on the performance of the algorithms. Also implement two search algorithms in your program, to search for the actual number 500. Run tests on the two algorithms and report (tabulated and commentary) on your findings on the performance of the search algorithms.