For the following parts, try to get the best Big-O estimate that
you can and briefly justify your

answers (3-4 sentences per part). You should also consider running
times for all the operations

contained within the loop body (but ignore the running times for
initializer, entry condition and

increment).

Part a

int i, j;

int n = 100 ;

for (i = 1 ; i <= n; i++) {

for ( j = 3 *i ; j <= n; j++) {

printf( "programming is

fun\n" ) ;

}

}

Part b

int i, j;

int n = 1000000 ;

for (i = 1 ; i <= n; i++) {

for (j = 1 ; j <= 10000 ; j++)

{

printf ( "%d %d\n" , i, j);

}

}

Part c

int i = 0 ;

int n = 10 ;

int j;

while (i < n) {

i++ ;

j = i ;

while (i < n) {

printf( "hello %d\n" ,

i) ;

i++ ;

}

i = j;

}

Part d

int i = 0 ;

int n = 10 ;

int j;

while (i < n) {

i++ ;

j = i ;

while (i < n) {

printf( "hello %d\n" ,

i) ;

i++ ;

break;

}

i = j;

}

Page

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