UMUC CMSC 350 Project 3 complete solutions correct answers key

UMUC CMSC 350 Project 3 complete solutions correct answers key

Quick Sort Optimizations through Hybridization 1. Specification

Part 1

Consider the attached QuickSort algorithm for sorting arrays and two algorithm optimization proposals QSopt1 and QSopt2, described below. QSopt1 executes QuickSort for the partitions of size larger than a given cutoff value (usually 10) and executes Insertion Sort for sorting the partitions of size less than or equal to the cutoff value. QSopt2 executes QuickSort until all partitions’ size gets lower than a given cutoff value (usually 10) and then, executes the improved Bubble Sort algorithm upon the whole "almost sorted" array. This project requires writing two Java programs detailed below in Part 1 (testing the functionality of the proposed algorithms) and Part 2 (measuring and comparing their execution time). The algorithms for QuickSort, InsertionSort and BubbleSort are attached.

Part 1 (Testing algorithms functionality) Design and implement a program to test the QSopt1 and QSopt2 algorithms. Define an array of size 100, populated with randomly generated Integer or int values in the range 1 .. 999 and sort the array in increasing order by using the algorithms QuickSort, QSopt1 and QSopt2. Display the array content before sorting and then after invoking each sorting algorithm.

Part 2 (Measuring the execution time) Design, implement and test a program which uses System.nanoTime() method to (1) measure the execution time of the three sorting algorithms and (2) display the average execution time values for 105 runs. Do this for each of the array sizes specified in the table below. Consider the arrays as being randomly populated with Integer or int values in the range 1 .. MAX as specified for each SIZE in the table below. After executing the program, fill-in the table cells with the measured values and include the table in the solution description document.

Note that due to the behavior of the JIT compiler, the execution time of the algorithms is much slower the first times they are run and therefore make sure to discard the measured values for the initial 5 runs.

Table 1 - Average Execution Time Average execution time for 100 runs

SIZE = 100 MAX = 999

SIZE = 1000 MAX = 9,999

SIZE = 10,000 MAX = 99,999

QuickSort

QSopt1

QSopt2

 The programs should compile without errors.

Notes 1. The array contents should not be displayed for Part 2. 2. For Part 2, the three algorithms should be executed and their execution time should be displayed for the required array sizes within the same program execution and without any user input.

2. Submission Requirements

Submit the following before the due date listed in the Calendar:

1. Part1.zip including all .java files for Part 1 and Part2.zip including all .java files for Part 2. The source code should use Java code conventions and appropriate code layout (white space management and indents) and comments. 2. The solution description document <YourSecondName>_P3 (.pdf or .doc / .docx) containing: (2.1) assumptions, main design decisions, error handling, (2.2) test cases and two relevant screenshots, (2.3) the table of average execution time filled in with the measure values. (2.4) discussion of the results, (2.5) lessons learned and (2.6) possible improvements. The size of the document file (including the screenshots) should be of three pages, single spaced, font size 12.