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Chip testing Professor Diogenes has n supposedly identical

Introduction to Algorithms | 3rd Edition | ISBN: 9780262033848 | Authors: Thomas H. Cormen ISBN: 9780262033848 130

Solution for problem 4-5 Chapter 4

Introduction to Algorithms | 3rd Edition

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Introduction to Algorithms | 3rd Edition | ISBN: 9780262033848 | Authors: Thomas H. Cormen

Introduction to Algorithms | 3rd Edition

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Problem 4-5

Chip testing Professor Diogenes has n supposedly identical integrated-circuit chips that in principle are capable of testing each other. The professors test jig accommodates two chips at a time. When the jig is loaded, each chip tests the other and reports whether it is good or bad. A good chip always reports accurately whether the other chip is good or bad, but the professor cannot trust the answer of a bad chip. Thus, the four possible outcomes of a test are as follows: Chip A says Chip B says Conclusion B is good A is good both are good, or both are bad B is good A is bad at least one is bad B is bad A is good at least one is bad B is bad A is bad at least one is bad a. Show that if more than n=2 chips are bad, the professor cannot necessarily determine which chips are good using any strategy based on this kind of pairwise test. Assume that the bad chips can conspire to fool the professor. b. Consider the problem of finding a single good chip from among n chips, assuming that more than n=2 of the chips are good. Show that bn=2c pairwise tests are sufficient to reduce the problem to one of nearly half the size. c. Show that the good chips can be identified with .n/ pairwise tests, assuming that more than n=2 of the chips are good. Give and solve the recurrence that describes the number of tests.

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Calculus 3 EX . Show that the equation ×2+y2+ -22-6×22=11 . 4y a sphere . Find center and radius if so . we around gives want move = ( X -a)2 + which is ' . / (X-3) + ( yt2)2t 1Z -1)2 . 25 a Sphere W/ center (3 , -2,1 ) radius 5 a square yes , c+2-2-22-+1 thy2t446×+9e+! ×2+bx+(b㱺 _ (b㱺2 3-

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Chapter 4, Problem 4-5 is Solved
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Textbook: Introduction to Algorithms
Edition: 3
Author: Thomas H. Cormen
ISBN: 9780262033848

Since the solution to 4-5 from 4 chapter was answered, more than 376 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 4-5 from chapter: 4 was answered by , our top Engineering and Tech solution expert on 11/10/17, 05:55PM. Introduction to Algorithms was written by and is associated to the ISBN: 9780262033848. The answer to “Chip testing Professor Diogenes has n supposedly identical integrated-circuit chips that in principle are capable of testing each other. The professors test jig accommodates two chips at a time. When the jig is loaded, each chip tests the other and reports whether it is good or bad. A good chip always reports accurately whether the other chip is good or bad, but the professor cannot trust the answer of a bad chip. Thus, the four possible outcomes of a test are as follows: Chip A says Chip B says Conclusion B is good A is good both are good, or both are bad B is good A is bad at least one is bad B is bad A is good at least one is bad B is bad A is bad at least one is bad a. Show that if more than n=2 chips are bad, the professor cannot necessarily determine which chips are good using any strategy based on this kind of pairwise test. Assume that the bad chips can conspire to fool the professor. b. Consider the problem of finding a single good chip from among n chips, assuming that more than n=2 of the chips are good. Show that bn=2c pairwise tests are sufficient to reduce the problem to one of nearly half the size. c. Show that the good chips can be identified with .n/ pairwise tests, assuming that more than n=2 of the chips are good. Give and solve the recurrence that describes the number of tests.” is broken down into a number of easy to follow steps, and 252 words. This textbook survival guide was created for the textbook: Introduction to Algorithms, edition: 3. This full solution covers the following key subjects: good, bad, chips, ChIp, Tests. This expansive textbook survival guide covers 35 chapters, and 151 solutions.

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Chip testing Professor Diogenes has n supposedly identical