Construct a grammar in Chomsky Normal Form for the following CFG G $.$ C $\}.\{$a$,$ b$\},$ P$,$ S $).$ Show the intermediate steps in construction.

$S$ABC

$ABC|a|$

$B$bAC$||$

$C$cAB$||$

Convert to Greibach Normal Form for the given grammar $G=\{\begin{array}{cc}{A}_1,& A_2\\ 0,& 1\\ P\end{array},$ A$1).$ where the $P$ consists of the following.

$A_1{A}_3{A}_2|0|$

$A_2{A}_1{A}_1|1|$

Convert to Greibach Normal Form for the given grammar $G=\{\begin{array}{ccc}{A}_1,& A_2,& A_3\\ 0,& 1\end{array},\{$:$P,A_1\},$ where the $P$ consists of the following.

$A_1{A}_2{A}_3$

$A_2{A}_3{A}_1|b|$

$A_3{A}_1{A}_2|a|$

Convert the grammar $SAB,ABSB,ABB,B$aAb,$Ba,Ab$ into Greibach Normal Form.