L $=\{$ w $\backslash$epsi $\{$a$,$b$,$c$\}*$: a$$b$$c$|$ n$,$m $>=0$ & k$=3$m$+2\}$

Let's say, we have the following four CFGs labeled as $($A$)$ to $($D$).$

CFG A:

S $->$ aScc $|$ Y

Y $->$ bY $|$ ccc

CFG B:

S $->$ aSccc $|$ Y

Y $->$ bY $|$ cc

CFG C:

S $->$ Xcc

X $->$ aXccc $|$ Z

Z $->$ bZ $|\backslash$epsi

CFG D:

S $->$ aSccc $|$ bS $|$ cc

What will be the correct CFG for the language L$?$

Note, for a language L$,$ the CFG will be correct if and only if it can parse all the strings, w in L$,$ and doesn$$t parse any string, w $$ L$.$

$2$ points

Only B

Only C

A and C

A and D

B and C

B and D