Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n)

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Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for sufficiently small n. Make your bounds as tight as possible, and justify your answers.

a. T(n) = 3T(n/2) +n lg n. b. T(n) = 5T(n/5) + nl lg n. T(n) = 4T (n/2) + n' n d. T(n) = 3T(n/3 + 5) +n/2. e. T(n) = 2T(

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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Question Posted: Jul 13, 2010 02:51 AM

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Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n)

Question:

a. T(n) = 3T(n/2) +n lg n. b. T(n) = 5T(n/5) + nl lg n. T(n) = 4T (n/2) + n' n d. T(n) = 3T(n/3 + 5) +n/2. e. T(n) = 2T(n/2) + n/ lg n. f. T(n) = T(n/2)+ T(n/4) + T(n/8) +n. g. T(n)= T(n- 1) + 1/n. %3D c. h. Тm) %3 Т(п -1) + 1g n. i. T(n) = T(n - 2) + 2 lg n. j. T(n) = nT (n) +n.

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This problem is solved only for parts a c e f g h and i a Tn 3T n2 nlgn We have fn ...View the full answer

Introduction to Algorithms

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