operations. How many operations does it execute when it is run with an input of size $23?$

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

$.]$ with constant

Select $,,$ which is

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

$.$ It follows that for an input of size $23,$ the number of operations executed by the algorithm is

which equals