Given the following function f$1,$ give the best order of growth of the running time $($i$.$e$.,$ The time complexity using Big$-$O notation$).$

public boolean f$1($String sl$,$ HashSet aset$)$

boolean result $=!$aset.contains$($s$1)$ ;

if $($result$)$

aset.add$($s$1)$ ;

return result;

$\}$

Select one:

O$($ N log N $)$

O$(1)$

O$($ N $)$

Compilation errors

None of the listed choices is correct

O$($ N$2)$

O$($ log N $)$

O$($ N$2$ log N$)$