$($a$)$ Is the language context$-$free or not?

$($b$)$ If context$-$free, please construct a context$-$free grammar $($CFG$)$ that generates exactly the language. Both ambiguous and unambiguous grammars are acceptable $($it does not matter in this question$).$ For grading purposes, please useS as the starting

variable. Alphabet $[=\{0,1\}.$

$$A $=\{1,$ e$\}$U $\{1\}*$

$$B $=\{1"030$n$+1|$ n$>0\}$