Which of the following logical expressions are equivalent?

p $$q

$($p $$ q$)$

$($p $$ q$)($p $$q $)($p $$ q$)$

$($p $$ q$)($p $$q $)($p $$q$)$

$($i$)$ is equivalent to $($iii$)$

$($ii$)$ is equivalent to $($i$)$

$($i$),($ii$),$ and $($iv$)$ are equivalent.

$($ii$)$ is equivalent to $($iii$)$

$($i$)$ and $($iv$)$ are equivalent.

There is no expression that is equivalent to the other.