The first project involves benchmarking the behavior of Java implementations of one of the following sorting algorithms, bubble sort, selection sort, insertion sort, Shell sort, merge sort, quick sort or heap sort. You must post your selection in the "Ask the Professor" conference. No more than five students may select any one algorithm.

Project 1 involves writing the code to perform the benchmarking of the algorithm you selected. Your program must include both an iterative and recursive version of the algorithm. You do not have to write them yourself, you may take them from some source, but you must reference your source. You must identify some critical operation to count that reflects the overall performance and modify each version so that it counts that operation. In addition to counting critical operations you must measure the actual run time. You are to write code to determine their efficiency based on the number of times that the critical operation is executed and actual time measurements. In addition, you should examine the result of each call to verify that the data has been properly sorted to verify the correctness of the algorithm. If the array is not sorted, an exception should be thrown. It should also randomly generate data to pass to the sorting methods. It should produce 50 data sets for each value of n, the size of the data set and average the result of those 50 runs. The exact same data must be used for the iterative and the recursive algorithms. It should also create 10 different sizes of data sets. Choose sizes that will clearly demonstrate the trend as n becomes large. You should also calculate the standard deviation of the critical operation counts and time measurement for the 50 runs of each data set size as a way to gauge the data sensitivity of the algorithm. Your program must be written to conform to the following design: See image.

Your output should look at follows: See image.

The data set sizes above are examples. You are to select the actual data set sizes. On the due date for project 1, you are to submit a .zip file that includes the source code of your complete program and the output. All the classes should be in the default package.

Project 2 involves an analysis of the results that you obtained in first project. You are to submit a paper, written with Microsoft Word, that discusses the results of your analysis. Grading of the second part will be based on the following items:

- A brief introduction of the sorting algorithm that you have selected and how the two versions of the algorithm compare
- A discussion of the critical operation that you chose to count with an explanation of why you selected it
- A Big- analysis of the two versions of the algorithm
- A discussion of the results of your study, which should include
- graphs of your results
- a comparison of the performance of the two versions of the algorithm
- a comparison of the critical operation results and the actual execution time measurements
- a discussion of the significance of the standard deviation results and how it reflects the data sensitivity of your algorithm
- how your results compare to your Big- analysis

- A conclusion that summarizes the important observations of your study

If for any reason, it was necessary to revise the program you submitted in project 1, the revised source code should also be included along with the paper.

Academic Honesty!

It is not our intention to break the school's academic policy. Projects posted are only used as a reference
and should not be submitted as is. We are not held liable for any misuse of the solutions.
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