State the runtime recurrence it is not given. Then hind the asymptotic running time (big- O) of the following algorithms using the Master theorem. If it is not solvable using Master theorem, explain your reasoning. (a) T(n) = 37(n/4) +O(n) (b) An algorithm solves a problem of size n by dividing it into 2" sub-problems of size n/2, and recursively solves corresponding sub-problems. It takes linear time, 0(n) to combine solutions of the sub-problems.

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