1. Show that the running time of the merge-sort algorithm on an n-element sequence is O(nlogn), even when n is not a power of 22. Is our array-based implementation of merge-sort given in Section...
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1. Describe and analyze an efficient method for removing all duplicates from a collection A of n elements.2. Augment the PositionalList class (see Section 7.3) to support a method named sort that...
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....
Linda claims to have an algorithm that takes an input sequence S and produces an output sequence T that is a sorting of the n elements in S.a. Give an algorithm, isSorted, that tests in O(n) time if...
Is our linked-list-based implementation of merge-sort (Code Fragment 12.3) stable? Explain why or why not.Fragment 12.3
Augment the PositionalList class (see Section 7.3) to support a method named merge with the following behavior. If A and B are PositionalList instances whose elements are sorted, the syntax...
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