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Let Fn denote the nth Fibonacci number. We have F1 = F2 = 1 and for i 3, Fi = Fi1 + Fi2 (so F3

Let Fn denote the nth Fibonacci number. We have F1 = F2 = 1 and for i 3, Fi = Fi1 + Fi2 (so F3 = 2, F4 = 3, F5 = 5, F6 = 8, . . .). Recall Fn n , where = (1 + 5)/2. Find the running time of an algorithm that exactly finds the integer Qn i=1 Fi using (((F1 F2)F3). . .Fn). Your answer should be O() of a function of n and not have an F in it. Explain your answer. For simplicity, assume that you already have F1, . . . , Fn in storage, so you dont have to worry about the time to compute them.

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