Question: You are given two strings S and T , each n characters long. You have to establish whether one of them is a right cyclic

You are given two strings S and T , each n characters long. You have to establish whether one of them is a right cyclic shift of the other. For example, PLEA is a right cyclic shift of LEAP, and vice versa. (Formally, T is a right cyclic shift of S if T can be obtained by concatenating the (n ? i)-character suffix of S and the i-character prefix of S for some 1? i ? n.) a. Design a space-efficient algorithm for the task. Indicate the space and time efficiencies of your algorithm.

b. Design a time-efficient algorithm for the task. Indicate the time and space efficiencies of your algorithm.

7.Explain how to use hashing to check whether all elements of a list are distinct. What is the time efficiency of this application? Compare its efficiency with that of the brute-force algorithm (Section 2.3) and of the presorting-based algorithm (Section 6.1).

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