For the pseudo$-$code program below and its auxiliary functions:

print f$(2,200)$

define f$($b$,$ n$)$

ans $=0$

cur $=$ b

while $($cur$<=$n$)$

ans $=$ ans $+1$

cur $=$ cur$*$b

return ans

The output of the print statement will be:

$8$

$7$

$100$

$200$

$6$