$($c$)[1$ points$]$ Write each of these propositions using $p,q,$ and $r$ and logical connectives $($including negations$)$:

$(1)$ For Android to be great, it is necessary that Google be awesome.

$($ii$)$ For Android to be great, it is not sufficient that iOS be mediocre.

$($d$)[1$ points$]$ Use a truth table to show that the statements "For Android to be great, it is not sufficient that iOS be mediocre" and "IOS is mediocre and Android is not great" are logically equivalent.