pose we nave the following recurrence: S(0) = 1 S(1) = 1 S(n) = 2S(n/2) + 1 Which of the following statements is true?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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discrete structure 

i have posted two Questions 

Suppose we have the following recurrence:
S(0) = 1
S(1) = 1
S(n) = 2S(n/2) +1
Which of the following statements is true?
O
a) T(n) = 0(n)
O b) T(n) = 2(n)
O c) T(n) = O(n)
d) T(n)=6n-5 for n > 1
O e) T(n)=2n-1 n > 1
f) T(n)=3n-2 n > 1
Transcribed Image Text:Suppose we have the following recurrence: S(0) = 1 S(1) = 1 S(n) = 2S(n/2) +1 Which of the following statements is true? O a) T(n) = 0(n) O b) T(n) = 2(n) O c) T(n) = O(n) d) T(n)=6n-5 for n > 1 O e) T(n)=2n-1 n > 1 f) T(n)=3n-2 n > 1
Suppose we have the following recurrence:
T(0) = 1
Tп) 3 Т(п — 1) + 4
-
Which of the following statements is true?
O a) T(n) = 0(n)
O b) T(n) = 2(n)
c) T(n) = O(n)
d) T(n)=2n+1
e) T(n)=4n+1
O f) T(n)=4n-1
Transcribed Image Text:Suppose we have the following recurrence: T(0) = 1 Tп) 3 Т(п — 1) + 4 - Which of the following statements is true? O a) T(n) = 0(n) O b) T(n) = 2(n) c) T(n) = O(n) d) T(n)=2n+1 e) T(n)=4n+1 O f) T(n)=4n-1
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