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Consider the procedure T given below. procedure T(n: positive integer) for i = 1 to n for j = 1 to n x = x

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Consider the procedure T given below. procedure T(n: positive integer) for i = 1 to n for j = 1 to n x = x + g(x)//Assume that g can be computed in constant time return T(n/2) + T(n/2) + T(n/2) Let f(n) be the number of additions in the procedure for an input of n and note that f (n) satisfies a recurrence relation of the form f(n) = a f(n/b) + cn^d. a) Determine the values of a, b, c, and d. b) Apply The Master Theorem (given below) to T to determine its complexity. Master Theorem Given f(n) = a f (n/b) + cn^d, then f(n) id {theta(n^d) if a b^d

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