designed an iterative algorithm for separating n VLSI chips into those that are good and those that are bad by testing two chips at a time and learning either that they are the same or that they are different. To help, at least half of the chips are promised to be good. Now design (much easier) a randomized algorithm for this problem. Here are some hints.  Randomly select one of the chips. What is the probability that the chip is good?  How can you learn whether or not the selected chip is good?  If it is good, how can you easily partition the chips into good and bad chips?  If the chip is not good, what should your algorithm do?  When should the algorithm stop?  What is the expected running time of this algorithm?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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designed an iterative algorithm for separating n VLSI
chips into those that are good and those that are bad by testing two chips at a time and
learning either that they are the same or that they are different. To help, at least half of
the chips are promised to be good. Now design (much easier) a randomized algorithm
for this problem. Here are some hints.
 Randomly select one of the chips. What is the probability that the chip is good?
 How can you learn whether or not the selected chip is good?
 If it is good, how can you easily partition the chips into good and bad chips?
 If the chip is not good, what should your algorithm do?
 When should the algorithm stop?
 What is the expected running time of this algorithm?

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