Project 1 solution


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InstructionsThe first project involves benchmarking the behavior of Java implementations of one of the following sortingalgorithms, bubble sort, selection sort, insertion sort, Shell sort, merge sort, quick sort or heap sort. You must postyour 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 mustinclude both an iterative and recursive version of the algorithm. You do not have to write them yourself, you maytake them from some source, but you must reference your source. You must identify some critical operation to countthat reflects the overall performance and modify each version so that it counts that operation. In addition to countingcritical operations you must measure the actual run time. You are to write code to determine their efficiency basedon the number of times that the critical operation is executed and actual time measurements. In addition, you shouldexamine the result of each call to verify that the data has been properly sorted to verify the correctness of thealgorithm. If the array is not sorted, an exception should be thrown. It should also randomly generate data to pass tothe sorting methods. It should produce 50 data sets for each value ofn, the size of the data set and average the resultof those 50 runs. The exact same data must be used for the iterative and the recursive algorithms. It should alsocreate 10 different sizes of data sets. Choose sizes that will clearly demonstrate the trend asnbecomes large. Youshould also calculate the standard deviation of the critical operation counts and time measurement for the 50 runs ofeach data set size as a way to gauge the data sensitivity of the algorithm. Your program must be written to conformto the following design:Your output should look at follows:DataSetSize nIterativeRecursiveAverageCriticalOperationCountStandardDeviationof CountAverageExecutionTimeStandardDeviationof TimeAverageCriticalOperationCountStandardDeviationof CountAverageExecutionTimeStandardDeviationof Time100200The data set sizes above are examples. You are to select the actual data set sizes. On the due date for project 1, youare to submit a .zip file that includes the source code of your complete program and the output. All the classesshould be in the default package.Grading of the project will be based on the following items:·Adhered to the specified design·Produced the required output in the specified format·Correctly calculated the statistics

Chose good test sizes and good random data·Correctly implemented the sorting algorithm