Consider the following method, what is the recurrence relation T(n) for therunning time?int mystery(int n)if (n > 0)answer = 2*mystery(n/3)+mystery(2n/3) +nreturn answerelsereturn 11. T(n) = T(n/3) + T(2n/3) + c, for n > 0 T(n) = 1, for n = 02. T(n) = T(n/3) + T(2n/3) + n, for n > 0 T(n) = 1, for n = 03. T(n) = 2T(n/3) + T(2n/3) + c, for n > 0 T(n) = 1, for n = 04. None of the above

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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

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