Assignment

The purpose of the project is to perform a timing experiment. You are required to complete the following activities:

Write a computer program that prompts the user for a number, creates an array for that number of random integers, and then uses the sophisticated form of bubble sort to order the array. The program should print out the array prior to the call to the sorting algorithm and afterwards. You can write the program in either Java, C++, C#, or whatever language you are most comfortable in.

Repeat 1 but use insertion sort this time.

1 and 2 are primarily intended to make sure that your algorithms work.

Once you are convinced your programs work, do the following

Write a computer program that prompts the user for two numbers, n for the number of items in the array to sort, and num_ifor a number of iterations. Then do the following:

Initiate a variable running_time to 0

Create a for loop that iterates num_i times.

In the body of the loop,

Create an array of n random integers

Get the time and set this to start-time. You will have to figure out what the appropriate command is in the programming language you are using to find them time

Use sophisticated bubble sort to sort the array

Get the time and set this to end-time

Subtract end-time from start-time and add the result to running_time

Once the program has run, note

The number of items sorted

The number of iterations

The running time

Repeat the process nine times, using 5, 25 and 50 as the size of the array, and 10, 100 and 1000 as the number of iterations.

Repeat 3 using selection sort.

Create a spreadsheet showing the results of 3 and 4 and create a graph to graphically represent the information

Write a one page document explaining the results, bearing in mind that both algorithms have a complexity of O(n^2) and what you know about complexity analysis.