Rebuild the automaton of Exercise 2.8 using lex/flex. Find a manual for yacc/bison, or consult a compiler textbook [ALSU07, Secs XXXXXXXXXXand 4.9.2] to learn about operator precedence parsing....

Rebuild the automaton of Exercise 2.8 using lex/flex. Find a manual for yacc/bison, or consult a compiler textbook [ALSU07, Secs. 4.8.1 and 4.9.2] to learn about operator precedence parsing. Explain how it could be used to simplify the grammar of Exercise 45. Use lex/flex and yacc/bison to construct a parser for the calculator language. Have it output a trace of its shifts and reductions.