You have three algorithms to a problem and you do not know their efficiency, but fortunately, you find the recurrence formulas for each solution, which are shown as follows: A: T(n) = 5T (1) + 0(n) 9n B: T(n) = 2T()+(n) 10 C: T(n) = T() + 0(²) Please give the running time of each algorithm (In e notation), and which of your algorithms is the fastest (You probably can do this without a calculator)?

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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You have three algorithms to a problem and you do not know their efficiency, but fortunately, you find
the recurrence formulas for each solution, which are shown as follows:
A: T(n) = 5T (2) + (n)
9n
B: T(n) 2T() + (n)
10
C: T(n) = T() + (n²)
Please give the running time of each algorithm (In notation), and which of your algorithms is the
fastest (You probably can do this without a calculator)?
Transcribed Image Text:You have three algorithms to a problem and you do not know their efficiency, but fortunately, you find the recurrence formulas for each solution, which are shown as follows: A: T(n) = 5T (2) + (n) 9n B: T(n) 2T() + (n) 10 C: T(n) = T() + (n²) Please give the running time of each algorithm (In notation), and which of your algorithms is the fastest (You probably can do this without a calculator)?
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