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DESIGN AND ANALYSIS OF ALGORITHMS (CMP-5138) Homework-1 Due Date : November 7, 2017 Implement the following sorting algorithms in any of the programming languages; • Insertion Sort, • Selection Sort, • Bubble Sort, • Merge Sort, • Quick Sort, • Heap Sort Execute all the algorithms using the same set of series having 10000; a) randomly selected numbers, b) already sorted numbers, c) sorted in reverse order numbers, Iterate this procedure at least 10 times and calculate the average execution times of all algorithms in the best, worst and average,case scenerios. Then, write a report containg the following sections: 1. Introduction : What is the analysis of algorithms? Why is the analysis of algorithm important? Why do we need to analyze algorithms? The outline of the report ... etc.. 2. Comparison based Sorting Algorithms : The explanations of all the algorithms implemented in the homework should be written. Their computational complexities in the best, worst and average,case scenerios should be discussed. 3. Experimental Setup : The implementation details should be wirtten. 4. Experimental Results : The table containing average execution times (with maximum and minimum times) in the experiments should be given. 5. Conclusion : Comments on the experimental results. You should submit your report in IEEE paper A4 format. The template can be downloaded at [login to view URL]