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5. (30 points). Consider the following context-free grammar: S S+T | T T T*F | F F (S) | a (a) Give a derivation for

5. (30 points). Consider the following context-free grammar: S S+T | T T T*F | F F (S) | a

(a) Give a derivation for the string, (a+a)*a.

(b) Draw a parse tree for the string, (a+a*a)

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