Question: Define an appropriate parser monad (or an applicative functor for parsing) which includes tracking of input and potential failure. Rewrite the recursive descent parser in

Define an appropriate parser monad (or an applicative functor for parsing) which includes tracking of input and potential failure. Rewrite the recursive descent parser in Illustration 7.14 to use this monad. In this manner, we should arrive at more factored code so that the functions for the nonterminals do not need to pass the input explicitly; this would be taken care of by the bind operation of the monad.

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