Exercise $3\mathrm{.}22.$ Consider the algorithm below and answer the following questions:

$($a$)$ if n$=5$ and the array A contains $2,5,3,7,$ and $8,$ what is the output of the above function?

$($b$)$ What is the time complexity T$($n$)$ of the algorithm?

$($c$)$ Try to improve the efficiency of the algorithm.