Problem 1Parsing (50 points) Assume that in the sentence Father made her fish., the word her can be either a personal (PRP) or possessive pronoun (PRP$), and the word fish can be either a noun (NN) or a verb (VB). Also assume this sentence has two interpretations: i) Father prepared a meal with the fish she owned, and ii) Father got her to catch a fish. a) Draw the two possible parse trees for the sentence Father made her fish based on the two interpretations provided. Drawing rules from the book, list all the rules needed to draw these parses, adding rules as needed. b) Convert your entire grammar from problem 1 to Chomsky Normal Form. c) Write out the complete CKY parse table for the sentence Father made her fish using your entire grammar from (b). Make sure to include the pointers that indicate the backtraces, as shown at the bottom of Figure 13.12. How many possible parses are there? d) Write out the complete Earley chart for the sentence Father made her fish using your entire grammar from (a). Draw arrows between states (analogous to those in the CKY chart) that indicate how the parse trees should be constructed..