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COMP10002 Foundations of Algorithms

The University of Melbourne

School of Computing and Information Systems

COMP10002 Foundations of Algorithms

Semester 1, 2021

Assignment 2

Due: 4pm Tuesday 25th May 2021

Version 1.0

1

Learning Outcomes

In this assignment you will demonstrate your understanding of dynamic memory allocation, linked data

structures, and search algorithms. You will further extend your skills in program design and implementation.

2

The Story...

Text analysis and understanding is becoming prevalent in our daily lives. For example, intelligent personal

assistant apps such as Apple Siri and Google Now process user requests by first converting voice to text with

a speech recognition algorithm, and then analysing the text and finding answers to the requests. Finally,

the answers found are read out by a text to speech (TTS) algorithm.

To help computers understand a sentence, there are a few standard preprocessing steps. Two preprocessing

steps of interest in this assignment are called stemming and Part-Of-Speech (POS) tagging.

Stemming reduces a word to its stem (that is, the root form). See the following example:

Sentence:

After stemming:

she

she

sells

sell

seashells

seashell

Here, “sells” is the third-person present form of “sell”; “seashells” is the plural form of “seashell”.

After stemming, the two words are reduced to their respective root forms. The word “she” is already in its

root form, and hence is unchanged.

POS tagging assigns parts of speech to each word, such as noun, verb, etc. See the following example:

Sentence:

POS tag

she

pronoun

sells

verb

seashells

noun

There are various algorithms for stemming and POS tagging. The core of those algorithms are linguistic

rules (such as “remove the ending ‘s’ of a plural noun to obtain its singular form”) and statistics (such as

how often “cook” is used as a verb instead of a noun). Dictionaries are also used to support those algorithms.

In this assignment, you will implement an algorithm for stemming and POS tagging using a dictionary.

Note that you do not need to have any knowledge in linguistics to complete this assignment.

1

3

Your Task

You are given a dictionary (with at least one and up to 100 unique words) and a sentence to be

processed in the following format.

$allocate

vt

#0allocated1allocated2allocating

$sell

vt vi n

#0sold1sold2selling3sells

$she

n pron

#3they

$the

art

#

$zebra

n

#3zebra

**********

she sells seashells

The input starts with a list of unique dictionary words sorted alphabetically. Each word takes three lines.

Line 1 starts with ‘$’, which indicates the start of a word and is followed by the word itself (e.g., “sell”).

There are up to 22 lower-case English letters in each word, with no upper-case letters or special characters.

Line 2 contains the possible POS tags of the word separated by space (e.g., “vt”, “vi”, and “n” represent

verb used with object, verb used without object, and noun, respectively). You may assume up to 5 POS

tags per word and up to 4 lower-case English letters per POS tag. (Hint: You may use either a single

string or an array of strings to store the POS tags – the former is simpler.)

Line 3 starts with ‘#’, which indicates the ending line of a word in the dictionary. It is followed by the

variation forms of the word. Each word can have up to 4 forms where each variation form may contain

up to 25 lower-case English letters:

1. Form ‘0’ is the past tense form (e.g., “sold”);

2. Form ‘1’ is the past participle form (e.g, “sold”);

3. Form ‘2’ is the present participle form (e.g., “selling”);

4. Form ‘3’ is the plural form (e.g., “sells”, note this is not the third-person present form).

The variation forms follow the rules below:

• A word may have (1) no variation forms, (2) the first three forms (such as a verb), (3) only the last

form (such as a noun), or (4) all four forms (such as a word that can be either a verb or a noun). You

do not need to check the POS tags to verify the variation forms that a word has.

• The forms of a word always appears in the ascending order, e.g., “$0sold1sold2selling3sells”, not

“$3sells0sold2selling1sold”.

• The variation forms of a word can be the same (e.g., Forms 0 and 1 of “sell” are both “sold”).

• A variation form of a word can be the word itself (e.g., Form 3 of “zebra” is still “zebra”).

• You may assume that any two words in the dictionary will not share the same variation forms (e.g.,

the variation forms of “allocate” and “sell” are all different). You may also assume that any word

will not be a variation form of another word (e.g., “allocate” is not a variation form of any other

word in the dictionary).

(Hint: You do not need to understand what these variation forms mean for the assignment. You may simply

use a single string to store all variation forms of a word. For Stage 4, optionally, you can separate the

different variation forms and store them in multiple strings, which will help make the search process faster.)

2

The line “**********” indicates the end of the dictionary and the start of a given sentence.

The sentence given will occupy one line, where the words are separated by a single space. The sentence will

contain at least one word, but there is no upper limit on the number of words or the number of

characters in the sentence. Each word may contain up to 25 lower-case English letters. There will

be no punctuation marks (e.g., ‘,’ or ‘.’).

You will perform stemming and POS tagging on the sentence by consulting the given dictionary.

3.1

Stage 1 - Read One Dictionary Word (Up to 3 Marks)

Your first task is to design a struct to represent one word. You will then read in one word from the input

data (using standard input functions with input redirection; no file input operations needed), and output it

in the following format.

==========================Stage 1==========================

/* 26 ‘=’s each side */

Word 0: allocate

POS: vt

Form: 0allocated1allocated2allocating

3.2

Stage 2 - Read the Whole Dictionary (Up to 7 Marks)

Next, continue to finish reading the whole dictionary. You need to design a proper data structure to store

the words read in. An array of struct’s will do the job nicely. When this stage is done, your program

should output: the total number of words in the dictionary and the average number of variation forms per

word (up to two digits after the decimal point, by using “%.2f” in the printf() function). The output of

this stage based on the sample input is as follows.

==========================Stage 2==========================

Number of words: 5

Average number of variation forms per word: 1.80

3.3

Stage 3 - POS-Tag the Words in Sentence (Up to 13 Marks)

Your third task is to read in the given sentence, break it into words, store the words in a linked data structure,

and output the words together with their POS tags one at a line. The output of your program in this stage

for the example above should be:

==========================Stage 3==========================

she

n pron

sells

NOT_FOUND

seashells

NOT_FOUND

Hint: You may used the getword() function (Figure 7.13 in the textbook, link to source code available in

lecture slides) to read the words in the sentence. You may modify the linked list in listops.c (link to source

code available in lecture slides) to store the words. You are free to use other linked data structures (e.g.,

queue, stack, etc) if you wish. Make sure to attribute the use of external code properly.

For POS tagging, you will use the binary search algorithm (Hint: You may use the binary_search() func-

tion, link to source code available in lecture slides, or bsearch() provided in stdlib.h) to look up each

word from the sentence in the dictionary. If the word is found, then output the word and all POS tags of

the word. If the word is not found, then output the word and “NOT_FOUND”.

In this sample output, “sells” has not been matched because we are not considering the root forms of the

words in this stage. In real systems, stemming should happen before POS tagging. This is because, without

stemming, a word (e.g., “sells”) that is not in its root form may not be found in the dictionary. In this

assignment, we perform POS tagging first because it is a simpler task.

If you are not confident with using linked data structures, you may use an array of strings to store the

words, assuming a maximum of 20 words in the sentence. However, if you do so, the full mark of this stage

will be reduced by 2 marks. Similarly, if you use sequential search for POS tagging instead of binary search,

the full mark of this stage will also be reduced by 2 marks.

3

3.4

Stage 4 - Stem the Words in Sentence (Up to 15 Marks)

The final task is stemming, that is, for each word in the given sentence, you need to look up its root form

from the dictionary, and output the root form. If a word is already in its root form, or the word cannot be

found in the dictionary, then simply output the word itself as the root form. Further, you need to perform

POS tagging on this root form. The output of your program in this stage for the example above should be

as follows (note a final newline character ‘\n’ at the end of the output).

==========================Stage 4==========================

she

she

n pron

sells

sell

vt vi n

seashells

seashells

NOT_FOUND

At the end of your submission file, you need to add a comment that states the worst-case time

complexity of your root form search algorithm, and explains why it has that time complexity,

assuming that there are s words in the sentence and d words in the dictionary, each dictionary

word has up to f variation forms, and each form has a maximum length of m characters.

Hint: A simple approach is that, for every word in the sentence, apply sequential search on the dictionary

words and variation forms to look up the word. This is allowed for Stage 4 and will not incur mark penalties.

As a challenge (no bonus marks), see if you can use binary search instead of sequential search to find the

root form, for better efficiency. Note: if you use binary search in both Stages 3 and 4, you should not write

more than one binary search function. You should use function pointers to customise the behaviour of the

binary search function for different use cases.

4

Submission and Assessment

This assignment is worth 15% of the final mark. A detailed marking scheme will be provided on Canvas.

You need to submit your code in Grok Learning (https://groklearning.com) for assessment.

Submission will NOT be done via Canvas. Instead, you will need to:

1. Log in to Grok Learning using your student login details.

2. Navigate to the Assignment 2 module of our subject COMP10002 2021 S1: Foundations of Algorithms.

3. Place all your code in the program.c tab window (including any function from listops.c used).

4. Compile your code by clicking on the Compile button.

5. Once the compilation is successful, click on the Mark button to submit your code. (You can submit

as many times as you want to. Only the last submission made before the deadline will be marked.

Submissions made after the deadline will be marked with late penalties as detailed at the end of this

document. Do not press the Mark button after the deadline unless a late submission is intended.)

6. Two sample tests will be run automatically after you make a submission.

Make sure that your

submission passes these sample tests.

7. Two hidden tests will be run for marking purpose. Results of these tests will not be available until

after the submissions are marked.

You can (and should) submit both early and often – to check that your program compiles correctly on

our test system, which may have some different characteristics to the lab machines and your own machines.

You will be given a sample test file test0.txt and the sample output test0-output.txt. You can test your

code on your own machine with the following command and compare the output with test0-output.txt:

mac: ./program < test0.txt

/* Here ‘<’ feeds the data from test0.txt into program */

Note that we are using the following command to compile your code on the submission system (we name

the source code file program.c).

gcc -Wall -std=c99 -o program program.c

4

The flag “-std=c99” enables the compiler to use a more modern standard of the C language – C99. To

ensure that your submission works properly on the submission system, you should use this command to

compile your code on your local machine as well.

You may discuss your work with others, but what gets typed into your program must be individual work,

not from anyone else. Do not give a (hard or soft) copy of your work to anyone else; do not “lend” your

memory stick to others; and do not ask others to give you their programs “just so that I can take a look

and get some ideas, I won’t copy, honest”. The best way to help your friends in this regard is to say a

very firm “no” when they ask for a copy of, or to see, your program, pointing out that your “no”, and their

acceptance of that decision, is the only thing that will preserve your friendship. A sophisticated program that

undertakes deep structural analysis of C code identifying regions of similarity will be run over all submissions

in “compare every pair” mode. See https://academichonesty.unimelb.edu.au for more information.

Deadline: Programs not submitted by 4pm Tuesday 25th May 2021 will lose penalty marks at the

rate of 2 marks per day or part day late. Late submissions after 4pm Friday 28th May 2021 will not be

accepted. Students seeking extensions for medical or other “outside my control” reasons should email the

lecturer at jianzhong.qi@unimelb.edu.au. If you attend a GP or other health care professional as a result of

illness, be sure to take a Health Professional Report form with you (get it from the Special Consideration

section of the Student Portal), you will need this form to be filled out if your illness develops into something

that later requires a Special Consideration application to be lodged. You should scan the HPR form and

send it in connection with any non-Special Consideration assignment extension requests.


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