What is the asymptotic run time of the following function? Function f(n) r = 0 for i from 0 to n for j from n to i k=1 while k < 10! k = 2*k r=r+k return r ○a. 0(n³) ○b. O(nlog₂ (n)) OC. 0(kn²) O d. 0 (10!n²) ○e. 0(n²)
What is the asymptotic run time of the following function? Function f(n) r = 0 for i from 0 to n for j from n to i k=1 while k < 10! k = 2*k r=r+k return r ○a. 0(n³) ○b. O(nlog₂ (n)) OC. 0(kn²) O d. 0 (10!n²) ○e. 0(n²)
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
Problem 1PE
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Please answer it asap. both questions.
Transcribed Image Text:What is the asymptotic run time of the following function?
function f(n)
r = 0
for i from 0 to n
for j from n to i
k=1
while k < 10!
k = 2*k
r=r+k
return r
O a. 0 (n³)
b. O(nlog₂ (n))
c. 0(kn²)
O d. 0 (10!n²)
○e. 0(n²)
Transcribed Image Text:For two functions f(n) and g(n), if there exist constants c, n >0 such that, for all n ≥n, f(n) ≤c⋅g(n), what can we say about
the asymptotic relationship between f(n) and g(n)?
O a.
a. f(n) =
Q(g(n))
O b. f(n)
O(g(n))
O c. g(n)
=
= 0(f(n))
d. f(n)
=
(g(n))
e. None of the above
=
=
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