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Please show work, Thank you. III (10 points) A certain algorithm has an every-case complexity function given by T(n) (lg n)2. On our current computer

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Please show work, Thank you.

III (10 points) A certain algorithm has an every-case complexity function given by T(n) (lg n)2. On our current computer we can run inputs of size n 32 in 100 nsec (nanoseconds). If we bought a faster computer so that we could run this algorithm on n = 16 in 32 nsec, how many times faster will the new computer have to be

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