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Give asymptotic bounds for T(n) = T(n/2) +nlgn in each of the following recurrences. Assume that T(n) is constant for n ? Make your bounds

Give asymptotic bounds for T(n) = T(n/2) +nlgn in each of the following recurrences. Assume that T(n) is constant for n ? Make your bounds as tight as possible, Prove that yourbounds are correct

(a) T(n) = T(n^(1/2)) + 1

(b) T(n) = 2T(n/3+1) + n

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