Consider the following statements.

S₁ : Every SLR(1) grammar is unambiguous but there are certain unambiguous grammars that are not SLR(1).

S₂ : For any context-free grammar, there is a parser that takes at most O(n³) time to parse a string of length n.

Which one of the following option is correct?

Consider the following grammar.

S $$ \to $$ aSB| d
B $$ \to $$ b

The number of reduction steps taken by a bottom-up parser while accepting the string aaadbbb is _______.

Which one of the following kinds of derivation is used by LR parsers?

Consider the grammar given below:

S → Aa

A → BD

B → b | ε

D → d | ε

Let a, b, d, and $ be indexed as follows:
Compute the FOLLOW set of the non-terminal B and write the index values for the symbols in the FOLLOW set in the descending order. (For example, if the FOLLOW set is {a, b, d, $}, then the answer should be 3210)