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1. Following our analysis of randomized quick-sort in Section 12.2.1, show that the probability…

1. Following our analysis of randomized quick-sort in Section 12.2.1, show that the probability…

1. Following our analysis of randomized quick-sort in Section 12.2.1, show that the probability that a given input element x belongs to more than 2logn subproblems in size group i is at most 1/n2.2. Of the n! possible inputs to a given comparison-based sorting algorithm, what is the absolute maximum number of inputs that could be correctly sorted with just n comparisons?