$[10$ pts$]$ Convert the following right$-$linear grammar $G=(V,T,S,P)$

into a left$-$linear grammar, where $V=\{S,A\},T=\{a,b,c\},$ pro$-$

duction rules $P$ are

$SaS$

$ScA$

$AbA$

$Ab$

Sketch dfa's for both grammars. Test your work by deriving a

string acbb using both grammars.