Run time complexity of an algorithm which processes an array of N items can be defined as T(N) = a N¹. See the run time recorded for different N in Table below. Solve b using log(T(2N)/T(N)). Use this to approximate the complexity? How long it will take possibly for N = 64 N seconds 2 4 8 64 1.0 8.0 64.0 ? a. 32768 b. 256 c. 8192 d. 2048

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Run time complexity of an algorithm which processes an array of N items can be defined as
T(N) = a Nb. See the run time recorded for different N in Table below. Solve b using
log(T(2N)/T(N)).
Use this to approximate the complexity? How long it will take possibly for
N = 64
N seconds
2
4
8
64
a. 32768
b. 256
c. 8192
d. 2048
1.0
8.0
64.0
?
Transcribed Image Text:Run time complexity of an algorithm which processes an array of N items can be defined as T(N) = a Nb. See the run time recorded for different N in Table below. Solve b using log(T(2N)/T(N)). Use this to approximate the complexity? How long it will take possibly for N = 64 N seconds 2 4 8 64 a. 32768 b. 256 c. 8192 d. 2048 1.0 8.0 64.0 ?
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