Answered: The following algorithm is given: int…

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

The following algorithm is given:
int foo(int x; y)
if x == 0 return y
y = 2 · y + x%2
return foo(x=2; y)
(i) Compute foo(5, 0), foo(6, 0), foo(7, 0).(show in code too)
(ii) What is the time complexity of the call foo(n, 0)?
(iii) Let f1(n) = 12n + 11log(n) and f2(n) = 11 n + 12log(n). For each function, find to
which of the following families it belongs:
O(n); Ω(n); Θ(n); O(log n); Ω(log n); Θ(log n):

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