The switch statements in MATLAB has the following syntactic structure: switch case case otherwise end such that all of the terms between have their own parsing subprograms, and the keywords are in boldface. The statement may have an arbitrary but at least one case block, and the otherwise block must be after all of the case block(s). 3.1 (5 points) Please give a context-free grammar defining the syntax of the switch statement. You may treat the terms switch, case, otherwise, end, and all those terms with as terminal symbols. 3.2 (5 points) Please give the state transition diagrams for parsing all of the nonterminal symbols in your grammar. You may simply introduce a state with the name "Parsing " for calling the subprogram to parse the term . You do not need to deal with the symbols particularly. The switch statements in MATLAB has the following syntactic structure: switch case case otherwise end such that all of the terms between have their own parsing subprograms, and the keywords are in boldface. The statement may have an arbitrary but at least one case block, and the otherwise block must be after all of the case block(s). 3.1 (5 points) Please give a context-free grammar defining the syntax of the switch statement. You may treat the terms switch, case, otherwise, end, and all those terms with as terminal symbols. 3.2 (5 points) Please give the state transition diagrams for parsing all of the nonterminal symbols in your grammar. You may simply introduce a state with the name "Parsing " for calling the subprogram to parse the term . You do not need to deal with the symbols particularly