Problem $3/6(20$ points$)$

Given the right CFG$,(1)$ eliminate all $-$rules first, get the result, and then $(2)$ eliminate all unit$-$rules from the result; after that, $(3)$ eliminate all useless rules from the result of eliminating all unit$-$rules. The intermediate result after each of the simplification must be given. $=\{0,1\}.$

$A$ABA$|CD|E$

$B00|BB|E$

$C1CD|B||$

$D101$

$E$

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