4 In rare cases, it's not such a great idea to "Tound prematurely." Consider the following function: ALG3(n): count 0 for i 0,...,n for j 1,..,2 count := count +1 return count (a) Give big-O estimates for the mumber of iterations of each loop, and use those estimates to give a big-O estimate for the return value count. (b) Give an ezact 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)?
4 In rare cases, it's not such a great idea to "Tound prematurely." Consider the following function: ALG3(n): count 0 for i 0,...,n for j 1,..,2 count := count +1 return count (a) Give big-O estimates for the mumber of iterations of each loop, and use those estimates to give a big-O estimate for the return value count. (b) Give an ezact 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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Im having hard times determining the big(0) of this nested loop
Transcribed Image Text:4 In rare cases, it's not such a great idea to "Tound prematurely." Consider the following
function:
ALG3(m):
count : 0
for i 0,...,n
for j= 1,...,2
count := count +1
%3D
return count
(a) Give big-O estimates for the mumber of iterations of each loop, and use those
estimates to give a big-O estimate for the return value count.
(b) Give an ezact 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)?
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