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The running time of an algorithm A is described by the recurrence T(n) 7T(n/2) + n^2. A competing algorithm A' has a running time of

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The running time of an algorithm A is described by the recurrence T(n) 7T(n/2) + n^2. A competing algorithm A' has a running time of T'(n) aT'(n) = aT'(n/4) + n^2. What is the largest integer value for a such that A' asymptotically faster than A

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