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4. [5 pts.] Consider the following algorithm, findOutside, for finding all the elements of an array A of n numbers that are smaller than a

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4. [5 pts.] Consider the following algorithm, findOutside, for finding all the elements of an array A of n numbers that are smaller than a given value z and larger than another given value y, returning the elements found using a queue data structure implemented using a singly-linked list Algorithm 3 findOutside(A, ,y) 1: new queue, initially empty 2: fori0 ton-1 do 3 if A y then insert(Q, Ali) 5: return Q Give the tightest/best possible characterization, Big-Oh, Big-Theta, or Big-Omega, of the worst-case running time and space complexity of algorithm findOutside as a function of n Justify your answer. Assume the implementation of the insert operation on a queue data structure implemented using a singly-linked list takes time linear in the size of the queue and uses a constant amount of space

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