Consider the following method, what is the recurrence relation T(n) for the running time? int mystery(int n) if (n > 0)
Consider the following method, what is the recurrence relation T(n) for the running time? int mystery(int n) if (n > 0)
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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Question
![Consider the following method, what is the recurrence relation T(n) for the
running time?
int mystery(int n)
if (n > 0)
answer = 2*mystery(n/3)+mystery(2n/3) +n
return answer
else
return 1
1. T(n) = T(n/3) + T(2n/3) + c, for n > 0 T(n) = 1, for n = 0
2. T(n) = T(n/3) + T(2n/3) + n, for n > 0 T(n) = 1, for n = 0
3. T(n) = 2T(n/3) + T(2n/3) + c, for n > 0 T(n) = 1, for n = 0
4. None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F346b36e0-a4d8-47d7-8bd1-1ad776cb1cf3%2Fb70818cb-dfbe-4d17-8f52-a69e4ceed548%2F2vcsdr_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following method, what is the recurrence relation T(n) for the
running time?
int mystery(int n)
if (n > 0)
answer = 2*mystery(n/3)+mystery(2n/3) +n
return answer
else
return 1
1. T(n) = T(n/3) + T(2n/3) + c, for n > 0 T(n) = 1, for n = 0
2. T(n) = T(n/3) + T(2n/3) + n, for n > 0 T(n) = 1, for n = 0
3. T(n) = 2T(n/3) + T(2n/3) + c, for n > 0 T(n) = 1, for n = 0
4. None of the above
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