Lecture 3
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Lecture 3 CSE 331 Sep 3, 2010
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Lecture 3. CSE 331 Sep 3, 2010. Remember: Stick with your group. More on Group Leader Scribe. All Sep blog post slots are gone!. Upcoming deadlines. Sep 7: Form your group (email me the full names). Sep 10: Teams can swap members. Don Knuth. Don Knuth Reward Checks. - PowerPoint PPT Presentation
Transcript of Lecture 3
Lecture 3
CSE 331Sep 3, 2010
Remember: Stick with your group
More on Group Leader Scribe
All Sep blog post slots are gone!
Upcoming deadlines
Sep 7: Form your group (email me the full names)
Sep 10: Teams can swap members
Don Knuth
Don Knuth Reward Checks
http://www.flickr.com/photos/32184482@N03/3010989157/
Questions/Comments?
What are Algorithms?
A series of steps designed to solve a problem
A geometric way of solving problems
An abstract mathematical solution for a problem
Knuth’s Definition
An algorithm is a finite, definitive, effectiveprocedure with some input and some output
Why care about algorithms- II
Driving directions
Why care about algorithms- II
Computing Bestsellers on the fly
Why care about algorithms- II
Booking cheapest air tickets
Why care about algorithms- II
Google searches
Why care about algorithms- II
Data compression
http://www.di.ens.fr/~cherniav/teaching.html
Why care about algorithms- II
Error correction
http://www.switched.com/2010/02/11/fix-dvd-scratches-using-a-banana-and-toothpaste/
(And I could) go on…
http://www.movieposter.com/poster/MPW-33672/Titanic.html
Read Chazelle’s article
Questions/Comments?
From problem to software
Main Steps in Algorithm DesignProblem StatementProblem Statement
AlgorithmAlgorithm
Real world problem
Problem DefinitionProblem Definition Precise mathematical def
“Implementation”“Implementation” Data Structures
AnalysisAnalysis Correctness/Run time
Worst-case analysis
Correctness should hold for every valid input
Resource usage by the worst-possible input
What resources?
What resources?
Why worst-case?Why worst-case?
The language of proofs
Brad Pitt had a beard
Every goat has a beard
waleg.com
animaldiversity.org
Hence, Brad Pitt is a goat.Hence, Brad Pitt is a goat.
Questions/Comments?
National Resident Matching
(Screen) Docs are coming to BUF
Hawkeye (M*A*S*H)
JD (Scrubs)
Buffalo General
Millard Filmore (Gates Circle)
Millard Filmore (Suburban)
What can go wrong?
The situation is unstable!
What happens in real life
PreferencesPreferences
InformationInformation
PreferencesPreferences
NRMP plays matchmaker
Stable Marriage Problem
David Gale Lloyd Shapley
