5. [35 points) Assume you have the following grammar Elements in quotes are terminals. Program "int" win" (Declarations Statements) Declarations - Declaration Declarations Declaration Declaration + Type Identifier":" Type "int" "bool" | "float" "char Identifier "A" I... "2" State Statement Statements Statement Statement","Block Assignment Block - Statements")" Assignment - Identifier Expression;" Expression - Expression Term Expression "_" Term Term Term + Term Factor Term "/"Factor Factor Factor - Integer Identifier (Xxpression)" Integer - "0" ... "9" (a) Draw a parse tree for the following program. int main int float C A-C-B- (2. A) (b) Does the operator exhibit felt associativity or right associativity in this grammar? Explain your answer in terms of your parsetree (c) For a typical C++ Java/C# language, identify two errors in the program that would NOT be detected using only the grammar here. (d) Suppose these productions were part of a (much larger) complete grammar for a C#/Java/C# language. Of course, you would need many more productions than this but describe two other changes or additions you would need to make to the productions listed here