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2. (Not using the master's theorem) Solve the following recurrence relations and establish the order of growth of them. (a) T(n) = 2T(n/2) + n

2. (Not using the master's theorem) Solve the following recurrence relations and establish the order of growth of them.

(a) T(n) = 2T(n/2) + n for n > 1, T(1) = 1.

(b) T(n) = T(n/3) + 1 for n > 1, T(1) = 1.

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