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Problem 1: Solve the recurrence relation T(n) T(n 1) + 3 and give the analysis of the algorithm that it describes, given that T(1) =

Problem 1: Solve the recurrence relation T(n) T(n 1) + 3 and give the analysis of the algorithm that it describes, given that T(1) = 2.

Problem 2: Analyze an algorithm whose behavior is described by the recurrence relation T(n) 4T(n/2) + 2n3.

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