CSC 230 Selection Sort Algorithm Assignment

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Problem: Write a program for the Selection Sort algorithm. Following are the requirements of this program

There should be two implementations of the Selection Sort,
Iterative procedure ii. Recursive procedure
Your program will also contain a Circle class with data field radius and methods for calculating area and circumference of the circle. There will be a single constructor that takes one input, the radius.
The selection sort will take objects of this circle class as items to sort and sort them based on

their areas.

Be sure to test your methods thoroughly before continuing.

It has been proved that Time complexity of Selection sort is O(n2) You are to verify these results experimentally. Write a program that prompts the user for the number of circles to be sorted (N) and the number of times (T) that sorting need to be done. Then, it should repeatedly (T times) sort N circles generated with random numbers as their radii with both iterative and recursive procedures of Selection Sort. CSC 230 Selection Sort Algorithm Assignment
Your program should display the average time taken for sorting these both recursively and iteratively.

For example: Number of circles to be sorted (N): 1000 Number of times to sort (T): 100

Your program will generate 1000 random numbers and create as many objects of circle class with these random numbers as their radius . It will then use Selection sort to sort these circles based on their area. This should be done 100 times(T) to find average time of sorting 1000 circles.

Run your program from part 4 for various values of N, using T = 1,00. Report the average time taken by both iterative and recursive procedures. Do your statistics support the claims that the recursive and iterative procedures take different times? Justify your answer.

CSC 230 Selection Sort Algorithm Assignment