fragments. Note: the running time corresponds here to the number of times the operation sum++ is fnove an analysis of the running time (Big-Oh notation) for each of the following 4 progran executed. sqrt is the function that returns the square root of a given number. Program Running time (Big-Oh notation) sum = 0; for (i=0;i

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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SIve an analysis of the running time (Big-Oh notation) for each of the following 4 program
nagments. Note: the running time corresponds here to the number of times the operation sum++ 1s
executed. sqrt is the function that returns the square root of a given number.
Program
Running time (Big-Oh notation)
sum = 0;
%3D
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
%3D
for(i=0;i<sqrt (n)/2;i++)
for (j=i;8+i;j++)
В
for(k=j;k<8+j;k++)
sum++;
sum = 0;
for (i=1;i<2*n;i++)
%3D
for(j=1;j<i*i;j++)
for(k=1;k<j;k++)
if (j%i==1)
sum++;
C
sum = 0;
%3D
for (i=1;i<2*n;i++)
for (j=1;j<i*i;j++)
for(k=1;k<j;k++)
if (j%i)
sum++;
Transcribed Image Text:is SIve an analysis of the running time (Big-Oh notation) for each of the following 4 program nagments. Note: the running time corresponds here to the number of times the operation sum++ 1s executed. sqrt is the function that returns the square root of a given number. Program Running time (Big-Oh notation) sum = 0; %3D 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 %3D for(i=0;i<sqrt (n)/2;i++) for (j=i;8+i;j++) В for(k=j;k<8+j;k++) sum++; sum = 0; for (i=1;i<2*n;i++) %3D for(j=1;j<i*i;j++) for(k=1;k<j;k++) if (j%i==1) sum++; C sum = 0; %3D for (i=1;i<2*n;i++) for (j=1;j<i*i;j++) for(k=1;k<j;k++) if (j%i) sum++;
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