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# ps1 - Massachusetts Institute of Technology 6.046J/18.410J...

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Massachusetts Institute of Technology Handout 3 6.046J/18.410J: Introduction to Algorithms February 7, 2002 Professors Michel Goemans and Piotr Indyk Problem Set 1 This problem set is due in class on Thursday, February 14, 2002 . 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 and will be useful in solving the assessed problems. You are responsible for material covered by the exercises. Each problem is to be done on a separate sheet (or sheets) of three-hole punched paper. Mark the top of each sheet with your name, 6.046J/18.410J, the problem number, your recitation section, the date, and the names of any students with whom you collaborated. Exercise 1-1. Do Problem 3-4 on page 59 in CLRS. Exercise 1-2. Do Problem 3-6 on page 60 in CLRS. Exercise 1-3. Do Exercise 2.3-7 on page 37 in CLRS. Problem 1-1. Asymptotic notation Rank the following functions by order of growth; that is, find an arrangement g 1 , g 2 , . . . , g 30 of the functions satisfying g 1

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