What is the output of the following $C$ code?

int main$()$

v $\{$

int year $=2000$;

if year $\%4==0$&& year $\%1000)$

printf$("\%$d$",$ year$+2)$;

else if $($year $\%400==0)$

printf$("\%$d$",$ year$+5)$;

else

printf$("\%$d$",$ year$+10)$;

return $0$;

$\}$

a$.2005$

b$.2002$

c$.2010$

d$.2000$