1. Fill out the table for executing the polynomial-time dynamic programming algo- rithi for deciding whether the string 1001 is in the context-free language generated by the following CFG. Fill the table completely do not stop the algorithm early. (Note: This CFG is not quite in Chomsky Normal Form since A appears on the right-hand side of a rule, but the same algorithm still works.) A → BC | CC В — ВА|0 A AR LRB| 1

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