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= = Rank the following functions by order of growth; that is, find an arrangement gi(n), 92 (n), ..., 932(n) of functions satisfying gi(n) =

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= = Rank the following functions by order of growth; that is, find an arrangement gi(n), 92 (n), ..., 932(n) of functions satisfying gi(n) = 0(gi+1(n)) for every i E {1,...31}. Partition your O list into equivalence classes such that f(n) and g(n) are in the same class if and only if f(n) = O(g(n)). You do not have to prove your answers. n log n n4/3 log n (log n)logn logg n glogn 2n log log n nlog logn n! 22n 2log n logn log(na) vloge ) V2 Vlog n nen n+ n/1030 (1/2) nlog n 123456789 n3/4 n1/log n 1 2n2 n 2n+1 n 3 n 3/2 2Vlogn nVlogn 3logn n n 1/2

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