Q1. a) Find & prove whether f(n) is O g(n) , 9 g(n) or N g(n) i. f(n) = n°6 •log(n) and g(n) = 4" f(n) = n°3 and g(n) = n°6 *log(n) b) Write the following functions in increasing order of Asymptotic Growth. faln) = 26 f2(n) =n°,2 f3(n) = S6 + n log, n fa(n) = S6•n loe, " c) Correct or Not? 2" = 0( S, n*1) (n+3)(n+S4) = 0 (n logn) n°s / log(3n) = 0 (n ( log, n)°3 ) S6" =0(n°)
Q1. a) Find & prove whether f(n) is O g(n) , 9 g(n) or N g(n) i. f(n) = n°6 •log(n) and g(n) = 4" f(n) = n°3 and g(n) = n°6 *log(n) b) Write the following functions in increasing order of Asymptotic Growth. faln) = 26 f2(n) =n°,2 f3(n) = S6 + n log, n fa(n) = S6•n loe, " c) Correct or Not? 2" = 0( S, n*1) (n+3)(n+S4) = 0 (n logn) n°s / log(3n) = 0 (n ( log, n)°3 ) S6" =0(n°)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Please find the question and answer me.
![a) Find & prove whether f(n) is O g(n) , 9 g(n) or n g(n)
f(n) = n°6 +log(n) and g(n) = 4"
f(n) = n°3 and g(n) = n° *log(n)
i.
ii.
b) Write the following functions in increasing order of Asymptotic Growth.
faln) = 26 f2(n) = n°,2 fa(n) = S6 + n log, n fa(n) = S6 +n los, n
c) Correct or Not?
2" = 0( S6 n+1)
(n+3)(n+S4) = O (n logn)
n°s / log(3n) = 0 (n ( log, n)°s )
S6" =0(n°)
d) Suppose you have to choose among three algorithms to solve a problem:
Algorithm A solves an instance of size n by recursively solving eight instances of size
n=S6, and then combining their solutions in time O(n°s).
Algorithm B solves an instance of size n by recursively solving twenty instances of size
n=S4, and then combining their solutions in time O(n°c).
Algorithm C solves an instance of size n by recursively solving two instances of size Sgn,
and then combining their solutions in time O(n).
Which one is preferable, and why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3839e565-eb93-4615-913a-e56196228735%2Fa16e1804-d093-4ab2-aac5-21c3ce6c3f5e%2Fh1vnobt_processed.png&w=3840&q=75)
Transcribed Image Text:a) Find & prove whether f(n) is O g(n) , 9 g(n) or n g(n)
f(n) = n°6 +log(n) and g(n) = 4"
f(n) = n°3 and g(n) = n° *log(n)
i.
ii.
b) Write the following functions in increasing order of Asymptotic Growth.
faln) = 26 f2(n) = n°,2 fa(n) = S6 + n log, n fa(n) = S6 +n los, n
c) Correct or Not?
2" = 0( S6 n+1)
(n+3)(n+S4) = O (n logn)
n°s / log(3n) = 0 (n ( log, n)°s )
S6" =0(n°)
d) Suppose you have to choose among three algorithms to solve a problem:
Algorithm A solves an instance of size n by recursively solving eight instances of size
n=S6, and then combining their solutions in time O(n°s).
Algorithm B solves an instance of size n by recursively solving twenty instances of size
n=S4, and then combining their solutions in time O(n°c).
Algorithm C solves an instance of size n by recursively solving two instances of size Sgn,
and then combining their solutions in time O(n).
Which one is preferable, and why?
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