seven operations. How many operations does it execute when it is run with an input of size $24?$

For each integer $n1,$ let $s_{n-1}$ be the number of operations the algorithm executes when it is run with an input of size $n.$ Then $s_0=|,$ and $s_k=$

for each integer $k1.$ Therefore, $s_0,s_1,s_2,$dots is

constant $$

$---$Select$---$

$,$ which is

is

$.$ So$,$ for every integer $n0,s_n=$

$.$ It follows that for an input of size $24,$ the number of operations executed by the algorithm is $s$

$---$Select$---$

which equals

$[$

s

$].$