ps3sol

ps3sol - Introduction to Algorithms Massachusetts Institute...

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Introduction to Algorithms October 22, 2004 Massachusetts Institute of Technology 6.046J/18.410J Professors Piotr Indyk and Charles E. Leiserson Handout 9 Problem Set 3 Solutions Reading: Chapters 12.1-12.4, 13, 18.1-18.3 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. Three-hole punch your paper on submissions. You will often be called upon to “give an algorithm” to solve a certain problem. Your write-up 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, pseudo-code. 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. Full credit will be given only to correct algorithms which are which are described clearly . Convoluted and obtuse descriptions will receive low marks. Exercise 3-1. Do Exercise 12.1-2 on page 256 in CLRS. Exercise 3-2. Do Exercise 12.2-1 on page 259 in CLRS. Exercise 3-3. Do Exercise 12.3-3 on page 264 in CLRS. Exercise 3-4. Do Exercise 13.2-1 on page 278 in CLRS. Problem 3-1. Packing Boxes The computer science department makes a move to a new building offering the faculty and graduate students boxes, crates and other containers. Prof. Potemkin, afraid of his questionable tenure case,
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ps3sol - Introduction to Algorithms Massachusetts Institute...

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