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PA4 CS 455

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CS 455 Programming Assignment 4

Spring 2024 [Bono]

Due: Wednesday, Apr. 10, 11:59pm

Introduction and Background

In this assignment you will get a chance to use some of the Collection classes and methods we

have covered recently. This will enable you to write a faster-running program with less effort

than you would otherwise. In this assignment you will also get an opportunity to do your own

design; the design outline we provided you is less constrained than in past assignments: you

will be deciding on the exact interface and representation for your most of your classes. You'll

also get some practice with command-line arguments and text file processing.

This assignment concerns the game of Scrabble. You may know the game of Scrabble better

as Words with Friends. If you want to try out Words with Friends yourself you can download

the free app for your smartphone. However, the programming assignment is not to create the

game itself, but to write a console-based program that finds all possible words that can be

made from a rack of Scrabble tiles (so it could help someone playing Scrabble). We'll elaborate

on the exact requirements of this assignment in the section on the assignment below.

A rack of Scrabble tiles (the little number is the score for playing that tile)

Table of Contents

The assignment files

The assignment

Summary of requirements

Error Checking

Approach

The AnagramDictionary class

Finding all the subsets of the rack

Class design

Development hints / Test data

Grading criteria

README file / Submitting your program

The assignment files

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Note: the blurbs below do not describe what each of these classes are, and how they fit

together. For more details on that, see the section on the class design.

The starter files we are providing for you on Vocareum are listed here. The files in bold below

are ones you create and/or modify and submit. The ones not in bold are ones that you will

use, but not modify. More details about the java classes below are in the section on class

design. The files are:

WordFinder.java This class will contain the main method, and any other helper methods

that you design. (You create this file.)

AnagramDictionary.java All anagram sets from a dictionary. We have provided the

interface for you. This class is discussed more here.

Rack.java Stores the current rack. You can decide on the representation and public

methods for this class. We wrote the private static allSubsets method for you, discussed

later.

ScoreTable.java This class has information about how much each scrabble letter is worth.

(You create this file.)

IllegalDictionaryException.java A class for reporting an illegal dictionary. We wrote this for

you.

sowpods.txt The Scrabble dictionary we will be using. The version given here is all lower

case letters. Go here for an explanation of its odd name.

testFiles A subdirectory with some data files and corresponding output for help in

testing. The README.txt file in that directory explains the files and how to use them.

README See section on Submitting your program for what to put in it. Before you start the

assignment please read the following statement which you will be "signing" in the

README:

"I certify that the work submitted for this assignment does not violate USC's

student conduct code. In particular, the work is my own, not a collaboration,

and does not involve code created by other people or AI software, with the

exception of the resources explicitly mentioned in the CS 455 Course Syllabus.

And I did not share my solution or parts of it with other students in the

course."

Note: you may have additional files, see the section on the class design for more about this.

The assignment

You will be implementing a program, called WordFinder, that when given letters that could

comprise a Scrabble rack, creates a list of all legal words that can be formed from the letters

on that rack. To solve the problem you will also need a scrabble dictionary (we'll provide that

for you). Some particulars of the Scrabble dictionary: it only has words of length two or more,

and it includes all forms of a word as separate entries, e.g., singular plus plural, and verb

conjugations.

For example, if your rack had the letters c m a l you could rearrange the letters to form the

words calm or clam, but you could also form shorter words from a subset of the letters, e.g., lam

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or ma. It's generally difficult to figure out all such sequences of the letters that form real words

(unless you are a tournament Scrabble competitor who knows the Scrabble dictionary very

well).

For your program, you will display all such words, with the corresponding Scrabble score for

each word, in decreasing order by score. Each letter has a score associated with it, the score

for a word is the sum of the scores of each letter in that word. For words with the same

scrabble score, the words must appear in alphabetical order. Here are the results for a rack

consisting of "cmal" (using the sowpods dictionary) shown in the output format you will be

using for your program (user input is shown in italics):

Rack? cmal

We can make 11 words from "cmal"

All of the words with their scores (sorted by score):

8: calm

8: clam

7: cam

7: mac

5: lac

5: lam

5: mal

4: am

4: ma

2: al

2: la

We'll provide you the Scrabble score for each letter later in this document.

Here's more about exactly how to run your program and what happens:

Your program will take an optional command-line argument for the dictionary file name. If

that argument is left off, it will use the Scrabble dictionary file sowpods.txt (see assignment files)

from the same directory as you are running your program. (Note: Required error-checking

related to the dictionary file is described in the following section.)

Once the program starts it will print the message:

Type . to quit.

Then the program will run in a loop on the console, printing the prompt "Rack? " (as seen in

the earlier example) and reading and processing each rack you enter, until you tell it to exit.

The user tells the program to exit by typing in "." at the prompt (i.e., a period). We aren't use a

command such as "quit" as the sentinel, since that could be a legal rack.

We have provided you a few sample data files, and corresponding correct reference output

from running those on the sowpods.txt (the Scrabble dictionary given) in the testFiles

directory. Please see the README.txt in that directory for guide to the sample files and how to

use them. Your output must match the reference output character by character.

The real game of Scrabble has only upper-case letters on tiles, but for our program we'll

accept any sequence of non-whitespace characters as a legal "rack." However, words will only

be able to be formed from actual letters if that's what's in the given dictionary. E.g., if the rack

given is "abc@" you will report the words such as "cab", but there will be no words containing

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"@", since @ doesn't appear in any dictionary words. If there are such characters in the rack,

they also get printed out in the initial message displayed about the rack. E.g, ??We can make 11

words from "cm!a#l"

The program will work on both lower-and-upper case versions of dictionaries, but all

processing will be case-sensitive. E.g., if the dictionary given has only upper-case versions of

words, it will find words from a rack such as "CMAL", but won't be able to find any words from

the rack "cmal".

Some other differences between this program and Scrabble:

The real game of Scrabble also has two blank wild-card tiles. Your program will not have

this feature.

In Scrabble you almost always have a rack of exactly seven letters. For this program you

can enter any number of characters for a rack. If the rack has more than seven characters,

you will report words from the dictionary that have more than seven characters too.

This program just deals with forming words only from what's on the rack, it doesn't

consider any tiles that are on the Scrabble board.

This shows how to run your program:

java WordFinder [dictionaryFile]

Note: in this common format for showing Unix command-line syntax the square brackets (i.e.,

[]) are not part of the command that is typed: it is just a notation indicating that the command

line argument shown is optional.

Additional program requirements are described in the following sections and summarized

here:

Approach. you are required to use the second approach discussed below, under

Approach. The class design we started goes along with that approach.

Efficiency. you will get more credit if you have an efficient solution. We discuss the

efficiency of the approach you are required to use in the sections on Approach and the

one that follows that on the AnagramDictionary class.

Class design. you are required to design and implement the classes discussed in the

section on class design. We will also be evaluating the quality of the fleshed out version

of this design.

Error checking. the two errors you have to handle are described in the next section.

README. as usual, you are required to submit a README file. See the end of this document

for what needs to go in it for this assignment.

Style / Documentation / Design. Also as usual, your program will be evaluated on style

and documentation; but this time we will also be evaluating your design. See the section

on grading criteria for more details.

Error checking

The only errors your program is required to check for are listed below. For each of these errors

your program will print the error message shown by example, then print

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Exiting program.

and then exit immediately.

1. The dictionary file does not exist.

Suppose the dictionary file given was testFiles/foobar.txt

Error message:

ERROR: Dictionary file "testFiles/foobar.txt" does not exist.

2. The dictionary file has duplicate words in it.

Suppose the dictionary file contained the word "cat" in two places. E.g., dictionary file

contents:

house

cat

the

dog

cat

doggy

Error message:

ERROR: Illegal dictionary: dictionary file has a duplicate word: cat

Your program does not have to report all duplicate words, just the first one it detects.

The example given above doesn't have any other words duplicated ("dog" and "doggy"

are two different words).

Approach

There are two distinct ways to approach this problem. One is to read in the dictionary, and

then for each rack given, compare each word in the dictionary to that rack to figure out

whether that word can be formed from some or all of the letters in that rack, creating a list of

the legal words as you go. This is faster to process the dictionary, but slower to process each

rack.

The second approach, which is the one you will be using for the assignment, involves

preprocessing the dictionary so that you organize the words by the set of letters each one

contains (this set is actually a multiset, because letters can appear more than once in a word;

the rack itself is also a multiset). Then for each rack you'll generate all the subsets of that

multiset of letters, and for each subset add all the words from the dictionary that have exactly

the same elements as that subset. This is slower to process the dictionary, but once we do this

processing, it's faster to process each rack than the first approach. This approach is explained

in more detail in the following two sections.

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It's a little complicated to describe in big-O terms the time for each approach, but what makes

the first approach slower for processing one rack is traversing the whole dictionary (which will

typically be large) for each rack. For the second approach, the slow part of processing a rack is

creating all the subsets. The worst case for creating the subsets is if there are no repeated

letters in the rack (i.e., largest number of subsets created). Even though generating the subsets

for such a rack would take O(n * 2n

) for a rack of n unique characters (because there are 2n

subsets when there are no repeat characters, and n n steps to form each subset), n will

typically be small: for a 7-tile rack: 27

is only 128, times 7 is 896). In an instrumented solution

we wrote using this approach, processing the sowpods dictionary took under half a second,

and processing a 7-character rack with no repeating characters, and consisting of the most

commonly occurring letters in English took under 15 milliseconds (this is test file

testFiles/aestnlr.in). (Commonly occurring letters will result in a larger resulting word list.)

These runs were done on Vocareum.

Some of the time spent for processing a rack in the second approach is to get the list of

anagrams for each subset; we'll discuss that further in the next section.

The rest of the time spent processing a rack is to sort the resulting word list.

For full credit on this assignment you'll need to use this second approach for the assignment;

we'll go into further details about it in the following sections.

The AnagramDictionary class

For the approach we're using, we said that you would organize the dictionary words by the

(multi)set of letters a word contains. If two words contain the same exact letters in a different

order, they are called anagrams of each other. If a rack (or subset of that rack) has all the same

letters (and multiplicity of those letters) as a particular word in the dictionary, that word, plus

all of its anagrams from the dictionary should all be added to the list of words reported by our

WordFinder program.

You are required to create an AnagramDictionary class to handle this. It will have a getAnagramsOf

method that finds all anagrams of a particular string efficiently. For, example, suppose we have

a variable, dictionary, of type AnagramDictionary, that contains data from the sowpods dictionary.

If we did the call

dictionary.getAnagramsOf("rlee")

it would return an ArrayList of the following dictionary words: ["leer", "lere", "reel"] (not

necessarily in that order). Note, "rlee" is not a real word: the method does not require you to

pass it a word. But the anagrams returned are real English words.

How to do this efficiently? One insight is that if we put two words into some kind of canonical

form, then we could figure out if they are anagrams of each other by just comparing the

canonical versions of them for equality. This canonical form will be a sorted version of the

characters in the word. In the earlier example given the rack contained "cmal". The sorted

version of this rack is "aclm". The first two words listed in the output are "calm" and "clam",

anagrams of "aclm", or put another way, these first two words are the only dictionary words

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we can make using all the letters on the rack, and all the other words listed are anagrams of

subsets of "cmal".

For full credit your AnagramDictionary is required to find all the anagrams of one String in time

linear in the size of the output set (not including the time to sort the letters in the String given

to put it into canonical form.)

Finding all the subsets of the rack

Finding all subsets of a multiset is a somewhat difficult recursion problem on its own, so to

make this assignment easier, we wrote the code for you to do that (static method allSubsets in

Rack.java). The method is static because, like some other recursive methods we have written, it

takes all of its data as explicit parameters; also, this means allSubsets works regardless of what

representation you choose for your Rack objects (allSubsets will not be accessing any Rack

instance variables). The solution is similar in structure to the method to compute all

permutations of a string given in Section 13.4 of the textbook. You will likely have to write a

wrapper method that calls allSubsets with the correct starting parameters.

The allSubsets method uses a particular representation for the rack which we'll explain with an

example here. Earlier we mentioned that a rack is a multiset of letters (set because we don't

care about the order of the letters, and multiset because letters can appear more than once).

Suppose our rack is:

a b a d b b

Gathering together the like letters, we could rewrite this as "aabbbd". We could also say that

'a' appears with multiplicity 2, 'b' appears with multiplicity 3, and that 'd' appears with

multiplicity 1. allSubsets expects the rack information to be in two parallel arrays: one has the

unique letters, and the other has the multiplicity of that letter at the same array index. The

array of unique letters is actually a String, so we can do String operations on it. For the

example given, we could create this rack representation as follows:

// create variables for the rack "aabbbd"

String unique = "abd";

int[] mult = {2, 3, 1};

// example to show relation between values in unique and mult:

for (int i = 0; i < unique.length(); i++) {

System.out.prinln(unique.charAt(i) + " appears " + multi[i] + " times in the rack");

}

Like other examples of recursion over an array that we've seen, allSubsets will take a third

argument, k, which is the starting position of the part of the array that this recursive call will

process. So for this code, it's the starting postion from which to find the subsets. So, for

example, if we called

allSubsets(unique, mult, 1); // starts at position 1 in unique and mult

it would find all the subsets of the rack "bbbd" (i.e., it wouldn't consider the subsets that

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included any 'a's in it).

Class design

Unlike the previous programs in this course, this time you are going to design your own

classes, with some guidance. Consequently, part of your style score will be based on the

quality of your design.

When doing an object-oriented design, you first come up with a candidate set of classes,

choosing a name for each, and identifying the responsibilities of each in the context of the

larger program overall. We have done that step for you here. We are requiring you to have at

least the following five classes in your solution, with the responsibilities described. You are

allowed to add more classes to your design as you see fit. The five, with their overall

responsibilities described, are:

WordFinder

This contains the main method. This class will have a main that's responsible for

processing the command-line argument, and handling any error processing. It will

probably also have the main command loop. Most of the other functionality will be

delegated to other object(s) created in main and their methods.

Rack

This corresponds to the idea of the rack in the problem description. Thus, wherever your

program is using a rack, it should be using an object of type Rack. As previously

discussed, we have already provided the code for a private static Rack method allSubsets.

AnagramDictionary

This will contain the dictionary data organized by anagrams. It is required to have at least

the two public methods whose headers are given in the starter file. You are allowed to

add other methods to this interface. This class was discussed in more detail in the section

about it.

ScoreTable

This class has information about Scrabble scores for scrabble letters and words. In

scrabble not every letter has the same value. Letters that occur more often in the English

language are worth less (e.g., 'e' and 's' are each worth 1 point), and letters that occur

less often are worth more (e.g., 'q' and 'z' are worth 10 points each). You may use hard?coded values in its data. Here are all the letter values:

(1 point)-A, E, I, O, U, L, N, S, T, R

(2 points)-D, G

(3 points)-B, C, M, P

(4 points)-F, H, V, W, Y

(5 points)-K

(8 points)- J, X

(10 points)-Q, Z

This class should work for both upper and lower case versions of the letters, e.g., 'a' and

'A' will have the same score. Hint: You can index an array with a char that is a lower case

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letter by treating it as an int and subtracting 'a' from it (because the internal numeric

codes for letters are all sequential). E.g., If your letter is 'd', ('d' - 'a') = 3 and if it's 'e', ('e' -

'a') = 4.

IllegalDictionaryException

An exception that can be thrown by AnagramDictionary (see comments in

AnagramDictionary.java for details). We already wrote it for you.

Although you haven't done much class design yourself, you have seen many examples of well?designed classes in the textbook, lecture, labs, and assignments in this class. We recommend

you review the following sections of the textbook that give hints on deciding what classes and

methods would make sense for a program design, before you start on your own design: 8.1,

8.2, 12.1, and 12.2 (the last two of these were not in the original readings).

One thing to keep in mind is you want the code that operates on some data to be in the same

class that contains that data. One sign that your design doesn't have that feature is if your

classes tend to have a lot of get and set methods and not much else. That would indicate that

all the code operating on this data is outside of the class itself.

Hopefully we've made clear the importance of making all instance variables private. But even if

you make your data private there are other ways to expose the implementation of your

objects. For example, if you have a class that contains an ArrayList, and also provide an

accessor method for this ArrayList, it gives clients the ability to change the contents of that

arraylist from outside of the object methods, possibly invalidating the object. (We discussed

these types of issues and how to cope with them in the material on side effects in week 6.)

You are welcome to add additional classes as part of your design. These ones would be

designed and implemented by you, of course. If you have more classes, just make sure the

additional .java files are in your Vocareum home directory when you submit the assignment. If

a class is just used by one other class, you could put it in the same file as that class, or a

separate file. If it is used by multiple classes, it should be in its own file. Make sure you discuss

these additional classes in your design write-up in your README (including telling us where to

find them).

Development hints / Test data

As usual, we recommend creating test drivers for any non-trivial class you implement to make

it easier to debug your code. That should be pretty easy here, because the classes are

somewhat independent from each other. (WordFinder is an exception since it already is a main

program.)

You'll want to test your complete program (and your AnagramDictionary) on a small dictionary

file before subjecting it to sowpods.txt. We provided a sample small dictionary and input and

corresponding output for some racks in the testFiles directory (more about that in the next

paragraph). If you find AnagramDictionary-related bugs, you may want to use an even tinier

dictionary for when you are single-stepping, etc.

Once you have all your modules working, you can also check if your program produces the

right answers for sowpods.txt with the other test input files and corresponding output in the

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testFiles directory. Note: The testFiles/README.txt file describes what's what that directory.

Grading criteria

This program will be graded approximately 2/3 on correctness, 1/3 on design, style, and

documentation. As usual we will be using the style guidelines published for the class. There

was more about design issues in the section on class design in this document. Another issue

that will come into play is effective use of the parts of the Java library we have learned about.

E.g., it's better to use one of the Java sort methods than reimplementing it.

README file / Submitting your program

Your README file must document known bugs in your program, contain the signed certification

shown near the top of this document, and contain any special instructions or information for

the grader.

In addition, for this assignment, your README must also document your design. This includes

the approach you took to solving the problem (i.e., description of the data structures and

algorithms involved). One part of this was discussed in the section on approach. You will also

include there information about how your class design relates to this approach, including what

data structures and algorithms are encapsulated in which of your classes.

When you are ready to submit the assignment press the big "Submit" button in your PA4

Vocareum work area. Because you may have additional files in your program, it will try to

compile all files in your work area, and test the resulting program on the small dictionary data

we gave you in testFiles (not on sowpods). As usual, you will want to submit for the first time

well before the final deadline, so you have time to fix any errors you get on the submit script.

Passing these submit checks is not necessary or sufficient to submit your code (the graders

will get a copy of what you submitted either way). (It would be necessary but not sufficient for

getting full credit.) However, if your code does not pass all the tests we would expect that you

would include some explanation of that in your README. One situation where it might fail

would be if you only completed a subset of the assignment (and your README would

document what subset you completed.)


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