two$\_$d$\_$random$($n$)$

$1,000$ times and calculate and print out the mean of the covered fractions for the given $n.$

$//$Do not change the code below

int main$($int argc, char$*$ argv$[])$

$\{$

int trials $=1000$;

int $i,n,$ seed;

if $($ argc$==2)$ seed $=$ atoi$($argv$[1])$;

else seed $=12345$;

srand $($seed$)$;

for $)=1$;$n64$;$n**=(2$

$\{$

double sum $=0.$;

for trials; $i++$

$\{$

double $p=$ two$\_$d$\_$random$($n$)$;

$\}$

sum $+=p$;

$\}$

printf$("\%$d $\%\mathrm{.}3$lf

$",$ n$,$ sum$/$trials$)$;

return $0$ ;

$\}$

Below is the desired output. We can use the output to check our code. You can optionally set the seed for the random numbers generated as a command line argument with $./2$d$-$walk $[$seed$]$

$\backslash$table$[[$$$,.\frac{?}{2d}-$walk$],[1,1\mathrm{.}000],[2,0\mathrm{.}367],[4,0\mathrm{.}221],[8,0\mathrm{.}154],[16,0\mathrm{.}122],[32,0\mathrm{.}101],[64,0\mathrm{.}085]]$