Consider the following EBNF Grammar: $($Hint: $[1$ denotes that the enclosed element is optional. It's used to specify that an element can be present or omitted.$)$

$<$ S$>->\}[$d$]$

$$A$->$ a $|$ b

a$.(3$ points$)$ Does this grammar accept $"$ab$"?$

b$.(3$ points$)$ Does this grammar accept $"$ad$"?$

c$.(3$ points$)$ Does this grammar accept "abbbbaaabad"?

d$.(3$ points$)$ Does this grammar accept $"$bbdbbd$"?$

e$.(3$ points$)$ Does this grammar accept "aada"?