1. Give an analysis of the running time (Big-Oh notation) for each of the following 4 program fragments. Note: the running time corresponds here to the number of times the operation sum++ is executed. sqrtis the function that returns the square root of a given number. ) Program Running time (Big-Oh notation)
1. Give an analysis of the running time (Big-Oh notation) for each of the following 4 program fragments. Note: the running time corresponds here to the number of times the operation sum++ is executed. sqrtis the function that returns the square root of a given number. ) Program Running time (Big-Oh notation)
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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Transcribed Image Text:1. Give an analysis of the running time (Big-Oh notation) for each of the following 4 program
fragments. Note: the running time corresponds here to the number of times the operation sum++ is
executed. sqrtis the function that returns the square root of a given number. }
Program
Running time (Big-Oh notation)
sum = 0;
for (i=0;i<sqrt(n)/2;i++)
sum++;
A
for (j=0 ;j<sqrt(n)/4;j++)
sum++;
for (k=0;k<8+j;k++)
sum++;
sum = 0;
for (i=0;i<sqrt (n)/2;i++)
for (j=i;8+i;j++)
for (k=j;k<8+j;k++)
sum++;
sum = 0;
for (i=1;i<2*n;i++)
for (j=1;j<i*i;j++)
for (k=1; k<j; k++)
if (j%i==1)
sum++;
sum = 0;
for (i=1;i<2*n;i++)
for (j=1;j<i*i;j++)
for (k=1;k<j;k++)
if (j%i)
D
sum++;
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