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320SC Programming Assignment
创建日期：2024-07-05 17:30:20
标签： 320SC
Programming Assignment
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Computer Science 320SC 
Programming Assignment 6

Requirements
This 6th assignment lets you get familiar with randomized algorithm design and development. It is
worth 5% of your total course marks. We would like you to implement a Bloom Filter to simulate a
email spam filtering.
An excessive number of submissions (over 10) for a particular problem will accrue a 20% penalty per
that problem if you eventually solve it. Therefore, please write a bruteforce algorithm and test
your randomized algorithm with your own generated inputs at scale before submitting to
the automated marker.
We only accept Python programs that use built-in packages (i.e. packages that do not require pip
install).
1 Email spam filtering
1.1 Problem description
You are implementing a Bloom filter for email spam filtering for the University of Auckland. Given
that you know the set A of n trusted email addresses, e.g. [email protected]. If the email
comes from one of these trusted addresses, it is not a spam. Otherwise, it will be a spam. Since the
server memory is very limited, you can not keep the list of trusted addresses on its memory (if an email
address requires 25 bytes on average and you have 1 billion trusted emails, it would take 25 GB to store
A in the memory).
Due to the limited resource of automarker, instead of using a string, we use a random integer in [0 . . . 2
31]
to present an email address. Also, to simpify the task, please use the following code to generate the list
of n integers that represent for n email addresses. Note that you have to use random.seed(320) to
ensure that you generate the same set of integers as automarker.
You would need to write a Python script to implement a Bloom filter given the setting of m = 8n bits and
different numbers of hash functions k = {2, 4, 6, 8}. The used hash function is: f(x) = (a·x+b) mod m
where a and b are generated using the following code:
import random
random.seed(320)
n = 100
a = [1, 2, 3, 4, 5, 6, 7, 8]
b = [8, 7, 6, 5, 4, 3, 2, 1]
for i in range(n):
x = random.randint(0, 2**31)
# Construct several Bloom filters here
2
# Testing here
for line in sys.stdin:
y = int(line)
# Check y is in the set S here
Note that you must not call x = random.randint(0, 2**31) several times since it will generate different sets S.
Given k = i, you will use i hash functions, from f1 to fi(x) = (a[i − 1] · x + b[i − 1]) mod m. For
example, given k = 2, you will use
f1(x) = (a[0] · x + b[0]) mod m = (x + 8) mod m
and
f2(x) = (a[1] · x + b[1]) mod m = (2x + 7) mod m.
1.2 Test case description
Your test will be a sequence of 2000 integers, each value per line corresponding to the email address,
containing non-spam and spam emails. Your output will be 4 integers, each per line, that count the
number of detected spam emails for each value of k = {2, 4, 6, 8}.
There are 4 test cases.
1. A trial test case of n = 100 has 0 mark.
2. A test case of n = 1, 000 has 2 marks.
3. A test case of n = 10, 000 and has 2 marks.
4. A test case of n = 100, 000 and has 1 mark.
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EARN 5 FE 825 IERG 5130 STAT 8178 EE161 ADS2 G54FUZ CS326 113B ECN 226 QBUS6860 ELEC3202 COMP9334 MGT11B MET CS 777 STA238 00099F Python SMM306 CMT206 EC116 SP MAST90084 CS480/680 BCPM0091 CMPT 300 ECON2209 FY20 STAT 432 CVEN9625 MATH1712 CMP9771M CMP3750M CIS 325 AI506 MAT344H1S MGT7180 PSTAT 160B CSYS5010 1D STAT 453/558 ME152B STA304H1F CSCI-128 ME428 CO3002 FINE 7640 COMP3234 ECSE 223 EE497 – 3D MATH5905 ECS648U ENG5009 MATH10242 EC665 A CPI221 ISOM5220 MACE40402 MGT B456F COMP9315 AFM 113 STAT 778 CS 564 MA231 CS 230 CS 124 COMP5511 CSC317 ITEC1010 ELEC207 INFT 3019 7CCMFM06 EE 161 5G ECLT5810 MATH 7349 CS526 O2 COMP90054 ELE00063M ACCT5034 ARC1015 CSCI 40 CSCI E40 FIN 524B CS 462 389COM CMT309 MFIN703 COMP4250 STA304 STA304H1S STA 1003 FIN 448 BUFN 732 CS520 CVEN3701 ECMT6006 PHAS0100 CSIT314 MDIA 5028 CSCI 2134 MAT 451 CMPT 459 STAT 457 INFO20003 COMP4141 IELE8066 F540 ECM9 CSE 6321 FIN 430 MATH3911 BFC5916 COMP1011 EEE 6209 STATS 240 CW3 COMP206 COMP1003 4331W ISE 530 CMPT 295 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