In rare cases, it's not such a great idea to "round prematurely." Consider the following function: ALG3(n): count := 0 for i=0,.., n for j = 1,..., 2 return count count := count +1 (a) Give big-O estimates for the number of iterations of each loop, and use those estimates to give a big-O estimate for the return value count. (b) Give an exact formula for the return value count, and then simplify it using big-O notation. (Hint: you might need the formula for the sum of a geometric series.) Is this better than your answer in part (a)?

In rare cases, it's not such a great idea to "round prematurely." Consider the following function: ALG3(n): count := 0 for i=0,.., n for j = 1,..., 2 return count count := count +1 (a) Give big-O estimates for the number of iterations of each loop, and use those estimates to give a big-O estimate for the return value count. (b) Give an exact formula for the return value count, and then simplify it using big-O notation. (Hint: you might need the formula for the sum of a geometric series.) Is this better than your answer in part (a)?

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

In rare cases, it's not such a great idea to "round prematurely." Consider the following
function:
ALG3(n):
count := 0
for i = 0,..., n
for j = 1,..., 2¹
return count
count := count +1
(a) Give big-O estimates for the number of iterations of each loop, and use those
estimates to give a big-O estimate for the return value count.
(b) Give an exact formula for the return value count, and then simplify it using big-0
notation. (Hint: you might need the formula for the sum of a geometric series.)
Is this better than your answer in part (a)?

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