September 7, 2001
Massachusetts Institute of Technology
6.046J/18.410J
SingaporeMIT Alliance
SMA5503
Professors Erik Demaine, Lee Wee Sun, and Charles E. Leiserson
Handout 7
Problem Set 1
MIT students:
This problem set is due in lecture on
Wednesday, September 19.
SMA students:
This problem set is due after the videoconferencing session on
Wednesday, Septem
ber 19.
Reading:
Chapters 1–4, excluding
§
4.4;
§
28.2;
§
30.1.
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 by 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.
MIT students:
Each problem should be done on a separate sheet (or sheets) of threehole punched
paper.
SMA students:
Each problem should be done on a separate sheet (or sheets) of twohole punched
paper.
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 your 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.
Remember, your goal is to communicate. Graders will be instructed to take off points for convo
luted and obtuse descriptions.
Exercise 11.
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 Spring '01
 CharlesE.Leiserson
 Algorithms, Analysis of algorithms, CLRS

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