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14. 4.1 Consider the grammar a) What are the terminals, nonterminals, and start symbol? b) Find parse trees for the following sentences i) (a. a) iii) (a, ((a, a), (a, a))) c) Construct a leftmost derivation for each of the sentences in (b). d) Construct a rightmost derivation for each of the sentences in (b) 15. Apply left factoring to Given grammar S if E then S| if E then S else S a E- b