Question: Consider the context free grammar: S ::= S S + | S S | a where a is a terminal for letter a, and a

Consider the context free grammar: S ::= S S + | S S | a where a is a terminal for letter a, and a string aa+a*a+.

Is this grammar ambiguous or unambiguous? If it is ambiguous, give an equivalent unambiguous grammar; otherwise, briefly describe how to implement a parser that scans a string once, and then decides if the string is derivable from this grammar.

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