Question: 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

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 T is sorted.

b. Explain why the algorithm isSorted is not sufficient to prove a particular output T to Linda’s algorithm is a sorting of S.

c. Describe what additional information Linda’s algorithm could output so that her algorithm’s correctness could be established on any given S and T in O(n) time.

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