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Bonus (20%) 1. Prove a. if f(n) = O(g(n)) then g(n) = 12(f(n)) b. if f(n) = (g(n)) then g(n) = O(f(n)) c. if f(n)

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Bonus (20%) 1. Prove a. if f(n) = O(g(n)) then g(n) = 12(f(n)) b. if f(n) = (g(n)) then g(n) = O(f(n)) c. if f(n) = O(g(n)) and f(n) = 2(g(n)) then f(n) = (g(n))

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