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1. For each function f Z+R+ below, place fi in the region of the diagram in Figure 1 that best describes its asymptotic bounds and give the simplest asymptotic class that describes all functions in the green region. [25 points] (n)1020 J2n) (lgn)4 Jo(n) 2n2 n(n+1)(n-1 fs(n)n! s(n) 4lg2 fs(n)-4n lgn O(n2) O(n)

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