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Recurrence examples Give asymptotic upper and lower bounds for T(n) in each of the following recur- rences. Assume that T(n) is constant for n < 2. Make your bounds as tight as possible, and justify your answers. 4-1 a. T(n) = 2T(n/2) + n*. b. T(n) = T(7n/10) +n. c. T(n) = 16T(n/4) + n².

Recurrence examples Give asymptotic upper and lower bounds for T(n) in each of the following recur- rences. Assume that T(n) is constant for n < 2. Make your bounds as tight as possible, and justify your answers. 4-1 a. T(n) = 2T(n/2) + n*. b. T(n) = T(7n/10) +n. c. T(n) = 16T(n/4) + n².

Database System Concepts
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
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4-1 Recurrence examples Give asymptotic upper and lower bounds for T(n) in each of the following recur- rences. Assume that T(n) is constant for n < 2. Make your bounds as tight as possible, and justify your answers. a. T(n) = 2T(n/2) +n*. %3D b. T(n) = T(7n/10) +n. c. T(n) = 16T(n/4) +n².
Transcribed Image Text:4-1 Recurrence examples Give asymptotic upper and lower bounds for T(n) in each of the following recur- rences. Assume that T(n) is constant for n < 2. Make your bounds as tight as possible, and justify your answers. a. T(n) = 2T(n/2) +n*. %3D b. T(n) = T(7n/10) +n. c. T(n) = 16T(n/4) +n².
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