Question: 1. Consider the following algorithm (don't worry about what it does we're only interested in the running time). Something(A) // A is a problem of

1. Consider the following algorithm (don't worry about what it does

1. Consider the following algorithm (don't worry about what it does we're only interested in the running time). Something(A) // A is a problem of size n (A1,A2,A3) split(A) // linear time each Ai result has size n/2 v1 Something (A1) v2 Something(A2) v3 = Something (A3) return max(v1, v2, v3) a. Derive a recurrence describing the running time of this algorithm. It doesn't have to be a detailed analysis, but it does need some explanation (don't just write formulas explain where they come from). b. Solve this recurrence using the master theorem, showing your work (this includes verifying any conditions that must be met to apply the relevant case of the theorem)

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