Question $5$:

Consider the following algorithm:

ALGORITHM $S(n)$

xlarr$10$

ilarrn

while$\frac{i}{x}1do$

$q,$ilarri$-1$

$q,$xlarrx$+1$

return $x$

i$.,$ What is the value of $x$ for $n=10,15,100$ and $200?$

ii$.$ What is the returned value of $x$ as function of $n.$