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Consider the problem of finding the median of a three-element set {a, b, c} of orderable items.

a. What is the information-theoretic lower bound for comparison-based algorithms solving this problem?

b. Draw a decision tree for an algorithm solving this problem.

c. If the worst-case number of comparisons in your algorithm is greater than the information-theoretic lower bound, do you think an algorithm matching the lower bound exists? (Either find such an algorithm or prove its impossibility.)

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Computer Engineering, Engineering

Category:- Computer Engineering
Reference No.:- M92008578

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