Introduction to Algorithms
September 18, 2006
Massachusetts Institute of Technology
6.046J/18.410J
Professors Erik Demaine and Madhu Sudan
Problem Set 2
Problem Set 2
This problem set is due in lecture on
Wednesday, September 27, 2006.
The home
work lab will be held 7–9
P
.
M
. on Monday, September 25, 2006, in room 32124.
Reading:
Sections 5.1–5.3 and Chapters 6, 7, and 8.1–8.3.
Both exercises and problems should be solved, but
only the problems
should be turned in.
Exercises are intended to help you master the course material. Even though you should not turn in
the exercise solutions, you are responsible for material covered in the exercises.
Mark the top of each sheet with your name, the course number, the problem number, your
recitation section, the date and the names of any students with whom you collaborated.
You will often be called upon to “give an algorithm” to solve a certain problem. Your writeup
should take the form of a short essay. A topic paragraph should summarize the problem you are
solving and what your results are. The body of the essay should provide the following:
1. A description of the algorithm in English and, if helpful, pseudocode.
2. At least one worked example or diagram to show more precisely how your algorithm works.
3. A proof (or indication) of the correctness of the algorithm.
4. An analysis of the running time of the algorithm.
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 Fall '08
 ErikDemaine
 Algorithms, lower bound, CLRS, ANDOMIZED Q UICKSORT

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