L $=\{$ w in $\{$a$,$b$,$c$\}*$: a$$b$$c$|$ n $=$ m$/2$ or n $=$ k $-2$ ; where n $>=0,$ m is even & k $>=2\}$

Let's say, we have the following $4$ CFGs labeled as $($A$)$ to $($D$).$

CFG A:

S $->$ XY $|$ PQ

X $->$ aXbb $|\backslash$epsi

Y $->$ ccY $|$ c

P $->$ aP $|$ b

Q $->$ bQc $|$ c

CFG B:

S $->$ XY $|$ PQ

X $->$ aXb $|\backslash$epsi

Y $->$ cYb $|$ c

P $->$ aP $|\backslash$epsi

Q $->$ bQcc $|$ c

CFG C:

S $->$ XY $|$ PQ

X $->$ aXb $|$ c

Y $->$ cYb $|\backslash$epsi

P $->$ aP $|\backslash$epsi

Q $->$ bQcc $|$ c

CFG D:

S $->$ XY $|$ PQ

X $->$ aaXb $|\backslash$epsi

Y $->$ cY $|$ cc

P $->$ aaP $|\backslash$epsi

Q $->$ bQc $|$ 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

A

B

C

D