1. Given a set of n integers, describe and analyze a fast method for finding the ⌈logn⌉ integers closest to the median.2. Bob has a set A of n nuts and a set B of n bolts, such that each nut in A has a unique matching bolt in B. Unfortunately, the nuts in A all look the same, and the bolts in B all look the same as well. The only kind of a comparison that Bob can make is to take a nut-bolt pair (a,b), such that a is in A and b is in B, and test it to see if the threads of a are larger, smaller, or a perfect match with the threads of b. Describe and analyze an efficient algorithm for Bob to match up all of his nuts and bolts.
1. Given a set of n integers, describe and analyze a fast method for finding the ⌈ logn…
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