CS173: Intro to Computer Science - Searching: Dropping the Lowest Score (100 Points)

Assignment Goals

The goals of this assignment are:
  1. To search an array using iterative approaches

Background Reading and References

Please refer to the following readings and examples offering templates to help get you started:

The Assignment

In this lab, you will write and test functions to drop the lowest score in an ArrayList<Double> of test scores, and then return the average of the remaining items.

Step 0: Creating an Array of Random Values

Since you’ll be searching arrays for small items, it would be useful to have a function to generate an array of random values. Write a function generateRandomArray that accepts an int N representing the desired size of the array. You can create an ArrayList of Double values like this:

ArrayList<Double> arr = new ArrayList<Double>(); // note the use of a capital D in the word Double

Review the other ArrayList functions to determine how to add and remove items from the ArrayList. In this function, write a loop to generate N random numbers and add them to your ArrayList. For example, you can use your ArrayList as follows:

arr.get(i) // this is equivalent to arr[i] for a traditional array
arr.add(x) // appends the value x - you'll use this one in your generateRandomArray function!
arr.remove(i) // remove the item at index i
arr.toString() // this lets you print the array values in a System.out.println statement!
arr.size() // this returns the number of elements in the array, which is equivalent to arr.length for a traditional array

Return the ArrayList you just created, and now you can generate random values from your main function!

Step 1: Searching the Array for the Smallest Item

First, linearly search the array to find the index of the smallest item. Remove the lowest item from the array, and print it. You can print an ArrayList by calling .toString() on the ArrayList variable, and printing that.

Finding the Item

To find an item in an array, you can iterate over the array and use a conditional to check its value.

Searching an array

Finding the Smallest Item

Searching for the smallest item in an array is similar to searching an array, except that you don’t have a specific key that you’re looking for. Instead, keep track of the smallest key value you’ve seen in the array so far, and update it if the current array item is smaller. Choose an initial value for key that is so large that even the first item will seem smaller.

Searching an array

Once you have found the smallest item, return its index to main, and remove the item from the ArrayList using that index. Question: why must your return statement be at the very end of this search function, and not anywhere else?

Hint: You’ll need initial values for the variables representing the smallest value and the position of the smallest value in the array. One idea is to set these to the first position and value of the array, which would assume that the first value is the “one to beat.” Which index (and value) correspond to the first element of the ArrayList?

Step 2: Counting the Number of Iterations

In addition, count the number of times your loop iterates to find the smallest item. You can use an int counter that you increment each time you execute the loop. Following the loop, print out the count of the number of times you execute inside a loop.

Put all of the above code into a function, and you will call that function from main().

Step 3: Calling This Function and Plotting Your Results

Within main(), call this function several times, each with a different sized array. You will plot the number of steps that were needed against the size of the array. You can use a loop with a random number generator to generate scores. I suggest creating a function that generates and returns an ArrayList<Double>, in which you pass the desired size of the array as a function parameter. The function then uses a random number generator to fill the array and return it. Then, you can call this from main() within a loop, so that you try it multiple times without having to copy and paste your code!

To plot your results, you can copy or type the iteration counts you receive into Microsoft Excel and generate a line graph. Your first column will be the size of the array that you used, and your second column will be the number of iterations that were required to find the smallest element in that array. Thus, your x-axis will be the size of the array, and your y-axis will be the number of iterations. What do you notice about the shape and direction of this graph?

Step 4: Unit Tests

Write unit tests to verify that your program works!

Finishing Touches and Writeup

Don’t forget to test your program with several different inputs to help verify that things work the way you expect! Think in terms of trying to break your program; if it’s really hard to “trick” your program into getting the wrong answer, you’ve probably done a good job making your code robust.

Also, check the Style Guide to make sure that you’ve written high quality code; make sure your code is “readable,” well indented, uses good variable names, and includes good comments throughout the program.

When you’re done, write a README for your project, and save all your files, before exporting your project to ZIP. In your README, answer any bolded questions presented on this page. In addition, write a few paragraphs describing what you did, how you did it, and how to use your program. If your program requires the user to type something in, describe that here. If you wrote functions to help solve your problem, what are they, and what do they do? Imagine that you are giving your program to another student in the class, and you want to explain to them how to use it. What would you tell them? Imagine also that another student had given you the functions that you wrote for your program: what would you have wished that you knew about how to call those functions?

Exporting your Project for Submission

Here is a video tutorial describing how to write a README for your project, and how to export it. Be sure to save your README file before exporting the project, so that your work is included in the submission!

Design Questions to Help You Begin

Please answer the following questions in your README file before you begin writing your program.
  1. Given an array containing the following values: 7, 8, 4, 2, 6, 5, which index contains the smallest value? What questions or comparisons did you have to ask to locate it? What values did you have to keep track of?
  2. Given an array containing the following values: 0, 8, 4, 2, 6, 5, which index contains the smallest value? What questions or comparisons did you have to ask to locate it? What values did you have to keep track of?

Submission

In your submission, please include answers to any questions asked on the assignment page in your README file. If you wrote code as part of this assignment, please describe your design, approach, and implementation in your README file as well. Finally, include answers to the following questions:
  • Describe what you did, how you did it, what challenges you encountered, and how you solved them.
  • Please answer any questions found throughout the narrative of this assignment.
  • If collaboration with a buddy was permitted, did you work with a buddy on this assignment? If so, who? If not, do you certify that this submission represents your own original work?
  • Please identify any and all portions of your submission that were not originally written by you (for example, code originally written by your buddy, or anything taken or adapted from a non-classroom resource). It is always OK to use your textbook and instructor notes; however, you are certifying that any portions not designated as coming from an outside person or source are your own original work.
  • Approximately how many hours it took you to finish this assignment (I will not judge you for this at all...I am simply using it to gauge if the assignments are too easy or hard)?
  • Your overall impression of the assignment. Did you love it, hate it, or were you neutral? One word answers are fine, but if you have any suggestions for the future let me know.
  • Any other concerns that you have. For instance, if you have a bug that you were unable to solve but you made progress, write that here. The more you articulate the problem the more partial credit you will receive (it is fine to leave this blank).

Assignment Rubric

Description Pre-Emerging (< 50%) Beginning (50%) Progressing (85%) Proficient (100%)
Algorithm Implementation (40%) The algorithm fails on the test inputs due to major issues, or the program fails to compile and/or run The algorithm fails on the test inputs due to one or more minor issues The algorithm is implemented to solve the problem correctly according to given test inputs, but would fail if executed in a general case due to a minor issue or omission in the algorithm design or implementation A reasonable algorithm is implemented to solve the problem which correctly solves the problem according to the given test inputs, and would be reasonably expected to solve the problem in the general case
Test Cases (20%) Testing was performed outside of the unit test framework, or not performed at all Trivial test cases are provided in a unit test framework Test cases that cover some, but not all, boundary cases and branches of the program are provided Test cases that cover all boundary cases and branches of the program are provided
Code Indentation and Spacing (10%) Code indentation and spacing are generally inappropriate or inconsistent Code indentation or spacing are generally appropriate but inconsistent in a few isolated instances Code indentation or spacing are appropriate or consistent, with minor adjustments needed Code indentation and spacing are appropriate and consistent
Code Quality (10%) Prior code quality feedback and style guide standards are not reflected in the submitted code to a great extent Code quality conforms to several standards in the course Style Guide, and progress is demonstrated in improving code quality from prior feedback Code quality conforms to the standards in the course Style Guide to a great extent, with a few identified areas of improvement Code quality substantially conforms to the standards in the course Style Guide
Code Documentation (10%) Code commenting and structure are absent, or code structure departs significantly from best practice Code commenting and structure is limited in ways that reduce the readability of the program; specifically, javadoc style comments are present for some functions Code documentation is present that re-states the explicit code definitions Code is documented at non-trivial points in a manner that enhances the readability of the program; specifically, javadoc style comments are present for all functions
Writeup and Submission (10%) An incomplete submission is provided, or the README file submitted is blank The program is submitted, but not according to the directions in one or more ways (for example, because it is lacking a readme writeup or missing answers to written questions) The program is submitted according to the directions with a minor omission or correction needed, including a readme writeup describing the solution and answering nearly all questions posed in the instructions The program is submitted according to the directions, including a readme writeup describing the solution and answering all questions posed in the instructions

Please refer to the Style Guide for code quality examples and guidelines.