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Mathematics, 16.04.2020 02:29 dondre54

You are given a sorted circular linked list containing n integers, where every element has a "next" pointer to the next larger element. The largest element's "next" pointer points to the smallest element.) You are asked to determine whether a given target element belongs to the list. There are only two ways you can access an element of the list: (1) to follow the next pointer from a previously accessed element, or (2) via a given function RAND that returns a pointer to a uniformly random element of the list. Develop a randomized algorithm for finding the target that makes at most O(Vn) comparisons in expec- tation and always returns the correct answer. Hint: Your algorithm will perform some random accesses and some amount of linear search. Use part a) to analyze the number of steps in the linear search.)

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