Solve the following recurrence relations. You may use any method discussed in class, but you need...

    

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Solve the following recurrence relations. You may use any method discussed in class, but you need to justify your answers by showing all relevant details. If you use a guess-and-prove method, remember to prove the correctness of your guess. a. (5 points) T(n) = - {r(n-1) - T(n-1)+3 for n = 1 for n 2 b. (5 points) T(n) = 1 = { 4T (n/2) + for n 3 4T(n/2)+nlogn for n >4 Solve the following recurrence relations. You may use any method discussed in class, but you need to justify your answers by showing all relevant details. If you use a guess-and-prove method, remember to prove the correctness of your guess. a. (5 points) T(n) = - {r(n-1) - T(n-1)+3 for n = 1 for n 2 b. (5 points) T(n) = 1 = { 4T (n/2) + for n 3 4T(n/2)+nlogn for n >4