Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for n≤2. Make your bounds as tight as possible, and justify your answer. *Hint: Use Master method to obtain (.). a) T(n) = 4T(n/4) + 5n b) T(n) = 4T(n/5) + 5n c) T(n) = 5T(n/4) + 4n d) T(n) = 4T(n/5) + Ig^5 n√n e) T(n) = T(√n) + 5 f) Solve the following recurrence relation : T(n) = T(an) + T((1 − a)n) + n

Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for n≤2. Make your bounds as tight as possible, and justify your answer. *Hint: Use Master method to obtain (.). a) T(n) = 4T(n/4) + 5n b) T(n) = 4T(n/5) + 5n c) T(n) = 5T(n/4) + 4n d) T(n) = 4T(n/5) + Ig^5 n√n e) T(n) = T(√n) + 5 f) Solve the following recurrence relation : T(n) = T(an) + T((1 − a)n) + n

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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