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quicksort

The purpose of the programming assignment is to perform empirical comparative

analysis of several modifications of Quicksort for integer arrays.

A.[80 points] Implement the following:

o basic version of Quicksort as discussed in our textbook;

o Quicksort with switching to Insertion sort when the number of elements in the subarray is

less than or equal to 2% of the original number;

o Quicksort with ‘median-of-three’ partitioning;

o Quicksort with randomly selected pivot value.

Requirements:

• functions from standard libraries implementing Quicksort are NOT allowed;

however, you can use any code from any other sources with proper references;

• for obtaining the working time of each algorithm for a particular array, use the

same function as for part (C) of Project #1; call this function before and after a call

to the function implementing a sorting algorithm;

• run your functions for the following types of arrays containing 1000, 10000 and

100000 integers: random numbers, sorted list, almost sorted list, in which every

10th number is out of order (random number);

• the size of integers is supposed to be from 1 to 10000;

• submit: (1) source code with the results; (2) the analysis of your experiments;

• please, do NOT include original and sorted arrays in your output!

• your source code MUST include information on the name of the programmer and

the purpose of the project, as well as some other comments.

B. [20 points] Analysis of the experiments.

Requirements to the analysis:

• the text must be TYPED;

• your analysis must include theoretical information about the efficiency of Quicksort and

how it may be improved using all approaches suggested in this project;

• experimental results must be clearly presented in the form of the table and graphs;

• I expect to see your conclusions on how well the experimental results correspond to

Evner: Java

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