$(15$ points$)$ Convert the following grammar into Chomsky Normal Form. In this prob$-$

lem, you must list your steps as you convert the grammar in order to be considered for

partial credit $($including serious attempt points$).$

$S$ABb$|a|b$

$A$aaA$|B|$

$B$ABbBA$|ab|bAb$

$C$baAaa$|A|Ab$