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Give asymptotically tight upper and lower bounds for T (n) in each of the following algorithmic recurrences. Justify your answers. A. T(n) = T(7n/10) + n B. T(n) = 16T(n/4) + nº C. T(n) = 2T(n/4) + √√n

Give asymptotically tight upper and lower bounds for T (n) in each of the following algorithmic recurrences. Justify your answers. A. T(n) = T(7n/10) + n B. T(n) = 16T(n/4) + nº C. T(n) = 2T(n/4) + √√n

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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Give asymptotically tight upper and lower bounds for T (n) in each of the following algorithmic recurrences. Justify your answers. A. T(n) = T(7n/10) + n B. T(n) C. T(n) D. T(n) = = = 2 16T(n/4) + n 2T(n/4) + √n 2 4T(n/2) + n²√√n E. T(n) = 3T((n/3) − 2) + n/2 (Hint: think about how you can use an assumption about the importance of the -2 to apply the Masters Theorem)
Transcribed Image Text:Give asymptotically tight upper and lower bounds for T (n) in each of the following algorithmic recurrences. Justify your answers. A. T(n) = T(7n/10) + n B. T(n) C. T(n) D. T(n) = = = 2 16T(n/4) + n 2T(n/4) + √n 2 4T(n/2) + n²√√n E. T(n) = 3T((n/3) − 2) + n/2 (Hint: think about how you can use an assumption about the importance of the -2 to apply the Masters Theorem)
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