Question: Consider the following recursive algorithm: ALGORITHM calculate(n) .: Input: A positive integer n if n = 1 return 1 else return Q(n 1) + 2

Consider the following recursive algorithm: ALGORITHM calculate(n) .: Input: A positive

Consider the following recursive algorithm: ALGORITHM calculate(n) .: Input: A positive integer n if n = 1 return 1 else return Q(n 1) + 2 *n a. (2 points) What does this algorithm compute? b. (6 points) Set up a recurrence relation for the algorithm's basic operation count and solve it (aka what are T(1) and T(n)). C. (2 points) What is the efficiency class of this algorithm? Indicate the class (g(n)) the function belongs to. (Use the simplest g(n) possible in your answers.) d. (5 points) Suggest an improvement, or a better algorithm and indicate its efficiency class

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