For the first exercise of the lab, you should write a similar program that implements the following rules: ::= [ ] ::= ::= | [ ]. [ who ] ::= | | is | believes that ::= and | or | but | because ::= Fred | Jane | Richard Nixon | Miss America ::= man | woman | fish | elephant | unicorn ::= a | the | every | some ::= big | tiny | pretty | bald ::= runs | jumps | talks | sleeps ::= loves | hates | sees | knows | looks for | finds As in SimpleRandomSentences.java, you can use arrays to implement the last seven rules in this list. (You might improve on that program by writing a single method "void String randomItem(String[] listOfStrings)" for picking a random item from an array of strings.) You are welcome to add to or modify the items in the lists given here.For each of the first three rules, you should write a subroutine to represent that rule. Note that a choice of alternatives (represented in the rules by "|") can be implemented using a switch or if..else statement; the various choices don't necessarily have to have the same probability. An optional element (represented by brackets, "[ xxx ]") can be implemented by a simple if. And a repeated optional element (represented by brackets with dots, "[ xxx ]...") can be represented by a while loop. You should implement the first four rules exactly as stated here. The main routine should call the subroutine to generate random sentences. You have to be careful in this program to avoid infinite recursion in this program. Since it will use random choices, there is no guarantee that the recursion will ever end. If your probabilities of doing recursion and continuing loops are too high, it is possible for the program to get lost in recursive calls forever -- or to produce some finite but ridiculously long sentences. You should adjust your probabilities to make sure that this doesn't happen, but that you still get some interesting sentences.