(time complexity)

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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(Problem 8) Choose ALL correct statements, if more than one is correct.
Which of the following statements is true for a big-O estimate on the size (time complexity)
of the output s based on the size of the input n for the following algorithms?
1: procedure F(n: integer)
procedure G(n: integer) procedure H(n: integer)
2:
S := 0
S := 0
S := 0
3:
for i := 1 ton do
for i := 1 to 2n do
for i := 1 to 3n do
4:
for j := 1 to 10 do
for j := 1 to i do
s := s + 1
5:
S := s + 1
s := s + 1
end for
6:
end for
end for
for j := 1 to 2n do
7:
end for
end for
S := s – 1
8 :
return s
return s
end for
9 :
end procedure
end procedure
return
10 :
end procedure
(A) Algorithm F is O(1).
(B) Algorithm F is © (n).
(C) Algorithm G is ©(n).
(D) Algorithm G is O (n²).
(E)
Algorithm H is © (n).
(F) Algorithm H is O(n²).
Transcribed Image Text:(Problem 8) Choose ALL correct statements, if more than one is correct. Which of the following statements is true for a big-O estimate on the size (time complexity) of the output s based on the size of the input n for the following algorithms? 1: procedure F(n: integer) procedure G(n: integer) procedure H(n: integer) 2: S := 0 S := 0 S := 0 3: for i := 1 ton do for i := 1 to 2n do for i := 1 to 3n do 4: for j := 1 to 10 do for j := 1 to i do s := s + 1 5: S := s + 1 s := s + 1 end for 6: end for end for for j := 1 to 2n do 7: end for end for S := s – 1 8 : return s return s end for 9 : end procedure end procedure return 10 : end procedure (A) Algorithm F is O(1). (B) Algorithm F is © (n). (C) Algorithm G is ©(n). (D) Algorithm G is O (n²). (E) Algorithm H is © (n). (F) Algorithm H is O(n²).
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