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CSC220 Lab05
Searching and Recursion
The goal of this week’s lab is:
1. Practice searching
2. Continue learning the significance of special cases!
3. Learning how to write test to check your implementation
Things you must do:
1. There are many details in this lab. Make sure you read the whole thing carefully
before writing any code and closely follow this instruction.
2. Always remember Java is case sensitive.
3. Your file names, class names, and package name must match exactly as
they are specified here.
Things you must not do:
1. You must not change the file names, class names, package names.
2. You must not change the signature of any of these methods (name, parameters,
…). Just fill in the missing code inside them. However, you are more than welcome
to create any helper methods you need as necessary.
Part 0
• Create a new Java project and call it Lab05.
• Create a package inside your project and call it lab05.
• Download the Lab05-Assignment05 ZIP folder from Google Drive (link from
blackboard assignment). Copy and paste the following files into your new
lab05 package:
• SortedBinarySet.java. This file will contain the representation of the class
you are about to implement.
• Tester.java. This file will contain the main function and tests for
Part 1 - SortedBinarySet​ Class Description
For this lab (and assignment), you are asked to construct a class called
SortedBinarySet that handles a list(s) of doubles. We have provided the skeleton of
this class for you. This class requires:
• All of the usual operations for a list, such as the ability to add items, remove
items, search for items, grow itself before running out of space.
• You must make your search routine(s) as efficient as possible. You are not
allowed to use sort algorithms. Instead, you need to consider the fact that
any list will begin as an empty list (which is already in sorted order), and you
can simply insert items in the correct order to ensure that the list remains sorted
at all times.
• Furthermore, the list must not contain any duplicates. (Because it’s a “set”)
• The data in SortedBinarySet must be backed by a basic array (do not use a
Java List, ArrayList, or any other Java class).
• It is not acceptable for the array to run out of space for new items, nor is it
acceptable to create a gigantic array. We will start with a modestly-sized array,
say size 11, and increase the capacity as needed (see the grow() function
• Unlike previous assignments you are not given any tests as a starting point.
You must create your own tests and submit them with your program. (Note
that the previous assignment will be very useful in helping you accomplish
Part 2 – SortedBinarySet​ Class Implementation
We start by implementing the easier methods. Remember that the list must be
sorted at all times. Please pay close attention to the following notes:
● public SortedBinarySet() // default constructor
○ This constructor must initialize an array of size 11 (hint: use the final
○ and set the rest of the field members accordingly. Pay attention to the
member variables of the class! Each should be set to some
(appropriate) initial value.
● public boolean empty()
○ returns true only if “theData” in the SortedBinarySet contains no elements
● public int size()
○ returns the number of elements in this SortedBinarySet.
● public void grow()
○ this function doubles the size of theData and modifies member variables
○ consult this week’s slides
● public String toString()
○ this method will print the elements of the list, its capacity, and its current size.
○ This method is purely to help you test your implementation.
○ We will NOT test your toString() method when grading.
● private int sequentialFind(double target)
○ this method will return the index where the element target occurs. This method
must make use of the Sequential search we learned in class. If target is not present
in the list, then it should return the index where it should be added (-index - 1).
Does this formula make sense?
○ There are three cases to consider. What should be returned in each?
■ target is equal to theData[index]
■ target becomes less than theData[index]
■ the loop terminates without success
● public boolean insert(double newVal)
○ If the list does not contain newVal, add it to the correct position of the list and
return true. If the list already includes the value, return false.
○ The method should first make sure there is enough room in the list to handle the
operation. If not, what should you do?
○ It should then make a call to findIndex(), which then calls the private
sequentialFind you just implemented, to see if newVal already occurs in the
list (how do we know?). If it isn’t in the list, the index returned by findIndex specifies
the position where newVal is to be inserted (but it is negative! what should you
do? :-)
○ Be careful about which member variables should be updated before returning true.
● public void clear()
○ Removes all the elements from the list. A call to empty() should return true after
this method is called.
○ Be careful about which member variables should be updated.
Part 3 – Testing
Unlike previous labs/assignments you are not given any tests as a starting point. You
must create your own tests to examine each method you implemented. These tests
can be written inside Tester.java.
Here is one potential testing strategy: create an empty SortedBinarySet. Then, check
its size, check whether it is empty. Then, start adding a few numbers to your
SortedBinarySet and make sure they are added properly (that is, they are in the sorted
order, the other member variables reflect the changes, etc). Then, continue adding
values to your SortedBinarySet till you go beyond its original capacity. Make sure you
are not having any errors in this case and that the SortedBinarySet does indeed grow.
Finally, test your clear method to see if all elements are removed from the
Don’t forget: lab/assignment is due Tuesday night @ 11:59pm!

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