Write a C++ program that simulatesa lexical/syntax analyzer (parser) system for the following simple if ..else..statement. The BNF is:

-> if () | if () else
-> OR |
-> AND |
-> TRUE | FALSE | NOT | ()
-> id = ; | id = ;
-> + | - |
-> * | / | % |
-> id | int_constant | ()

The EBNF is:

-> if () [else ]
-> {OR }
-> {AND }
-> TRUE | FALSE | NOT | ()
-> id = ; | id = ;
-> {( + | -) }
-> {( *|/|% ) }
-> id | int_constant | ()