Problem $6(15$ points$)$ This problem is a call$-$back to modules $1-3.$ Consider the

following grammar:

S $->$ GGWP $|$ NRE

G $->$ gW $|$ G $|$ noR

W $->$ wP $|$ NW

P $->$ p $|$ oR

N $->$ no

R $->$ r $|$ E

E $->$ e $|$ W $|\backslash$epsi

Calculate the FIRST and FOLLOW sets for all non$-$terminals in the grammar $($S$,$ G$,$ W$,$

P$,$ N$,$ R$,$ E$).$ S is the starting symbol of the grammar. Show your work