Laboratory 2 Instructions

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Laboratory 2: Using Objects
Java API
In this lab, you will practice creating/instantiating objects and passing messages to them. Two short,
unrelated exercises will review basic programming concepts and provide substantial practice in using
objects. You will also become familiar with using the javadoc external documentation format, which
will be a very valuable skill this semester.
Note: Please make sure to include both names at the top of your code, as well as in the comments
section when submitting the lab so both people get credit!
Lab:
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Craps
Maze Recursion

Download Lab02Files.zip from ilearn and extract the files into your Lab02 directory
Part I: Computing the percentage of times that craps is rolled
You will use the following files:
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SingleDie.class //you won't directly use this class, representing a six-sided die
CrapsDice.class //has the following public interface:
o public CrapsDice() //constructor (creates and uses 2 SingleDie objects, this is called
composition or has-a)
o public int roll() //rolls two SingleDies (six-sided dies) and returns the result

Roll the dice 752 times and report the percentage of times that a 2, 3, or 12 is rolled (one number). You
will need to cast to a double to get the correct percentage (or you will be performing integer division).
Call your driver class Craps.java and, in addition to your main method, include the following static
method:
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public static int playCraps(int num_rolls) //returns the number of times that a 2, 3, or 12 is rolled

Call your playCraps method from within your main method and pass in 752 (as you are rolling the dice
752 times). Also, make sure you convert the value you receive from playCraps into a percentage. Your
value should be approximately between 8 and 12 %.
To Compile:
javac Craps.java
To run:
java Craps

Part II: Maze Recursion
First, we’ll show you a demo of what you are trying to accomplish.
Starting Files:
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Drawable.java
DrawPanel.java
CenterFrame.java
MazeGUI.java
SimpleDialogs.java
MazeDriver.java
Maze.java //all of your work is in this file

Lab:
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Recursion
Return Values

Part I: Maze Recursion
A maze is an excellent application for recursion. From a specific location in the maze (a 2D array of 0s
for walls and 1s for paths), make recursive calls for all four possible directions (right, left, up, down) by
adding or subtracting to the current row or column. Remember that the call stack maintains the order that
methods are called, the values of the local variables for each method call, and where the method call
occurred in the calling method. When a direction that has not been tried is explored, mark that location as
tried by placing the appropriate integer (from the 5 possible final integers) in the current location within
the 2D array (blue in the figure). Marking a direction as tried will prevent the algorithm from exploring
that location again later. If there is no solution, every location will eventually be marked as tried, and then
the user is informed that there is no solution.
A recursive call in a direction already tried or a direction that is a wall can simply terminate without
doing anything (removing themselves from the call stack as there is no solution in that direction). When a
particular location has had all four directions leading from that location explored (either walls or
directions that have been tried), the algorithm must back track or move to previous locations that have
not had all four directions explored. This is easily done by letting the current location's method terminate
and pick up where the previous method call left off. When this occurs, mark as tried (seen in red in the
figure below). This previous method may have directions that have not been tried, or may now also be
completed, in which case the back tracking continues.

The maze with tried locations in blue and back tracking in red.
If there is a solution to the maze, eventually the recursive calls will find the solution. The important idea
is that once the solution is found, the methods that are still on the method call stack are those methods
that led to the solution. All other method calls corresponding to directions that have been tried and led to
a dead end have completed and were removed from the call stack. Thus, marking the solution path is
trivial. As the methods that led to the solution complete and come off the stack, mark those locations as
part of the solution (green in the figure).

The maze with solution in green.
Note that you will need to make use of a return value in your recursive calls to the traverse method.
Although it is just a boolean, it is an essential component to getting your maze to work. Don't simply
make recursive calls, store what the recursive calls return to you in a variable to help in decision making.
In particular, you need to determine whether the current location led to a solution. If so, mark as path and
terminate, returning true. Otherwise, try other directions. If all directions have been tried, mark as back
track and return false.
Also note that the grid variable is a 2D array representing your maze. To access the number of rows
within grid, you will need to access grid.length, and to access the number of columns within your grid,
you will need to access grid[index].length.
You will complete two methods in total within Maze.java: solve() & traverse(int row, int column).
Solve simply calls traverse, starting from the upper left of grid. Traverse is a recursive function that
tests where you are in grid, marks the location appropriately (via one of the 5 final variables), and then
recursively calls itself in each direction (up, down, left, and right).

Complete Maze.java. Your red region may look different than mine (why?) but your green region should
look the same.
To compile: javac *.java
To run: java MazeDriver
Or you can run the provided batch file: make.bat

Once finished, one partner should submit the lab on ilearn and include both names in the
comments section, as well as at the top of the actual source code. This lab will be due in 10 days, by
11:59:59 PM.



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