Derive a closed$-$form T $($n$)$ for the number of array accesses, where n is the length of the input array.

Note: Do not consider short$-$circuit evaluation for T $($n$).$

$($b$)$ Does the closed$-$form T $($n$)$ change if the condition for the if statement is $($A$[$i$])=$ A$[$j$])$ instead?

$($c$)$ Describe the output of the algorithm in a single sentence.

$($d$)$ What is the lowest possible value for count?