Q1. Operations/Cost Freq. for (int i=1; i<=n; ++i) { for (int j=1; j<=n; j=j*2) { display (j) } } Q2. Operations/Cost Freq. for (int i=1; i<=n; ++i) { for (int j=1; j<=n; j=j*2) { for (int k=1; k<=20; k=k*2) { display (j) } }

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

Calculate T(n) for Q1 & Q2.

Sample Solution
Q:
Operations/Cost
Freq.
for (int i=1; i<=n; ++i)
c1
n+1
display (i)
c2
b) T(n) = c1(n+1) + c2(n) = (c1+c2) (n) + c1 = c(n) + c1
Q1.
Operations/Cost
Freq.
for (int i=1; i<=n; ++i)
{
for (int j=1; j<=n; j=j*2)
{
display (j)
}
}
Q2.
Operations/Cost
Freq.
for (int i=1; i<=n; ++i)
{
for (int j=1; j<=n; j=j*2)
{
for (int k=1; k<=20; k=k*2)
{
display (j)
}
}
}
Transcribed Image Text:Sample Solution Q: Operations/Cost Freq. for (int i=1; i<=n; ++i) c1 n+1 display (i) c2 b) T(n) = c1(n+1) + c2(n) = (c1+c2) (n) + c1 = c(n) + c1 Q1. Operations/Cost Freq. for (int i=1; i<=n; ++i) { for (int j=1; j<=n; j=j*2) { display (j) } } Q2. Operations/Cost Freq. for (int i=1; i<=n; ++i) { for (int j=1; j<=n; j=j*2) { for (int k=1; k<=20; k=k*2) { display (j) } } }
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