The program should make use of standard tools for creating/handling syntax analysis and parsing such as lex(1)3 and yacc(1)4 . [50 pt] The following functionality in RPN will be required:

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Write a program that acts as a simulator for handling computations in reverse polish notation1 (RPN). The program’s user interface should be minimal (e. g., similar to bc(1)2 ), more advanced user interaction is welcome but will not produce extra points.

The program should make use of standard tools for creating/handling syntax analysis and parsing such as lex(1)3 and yacc(1)4 . [50 pt] The following functionality in RPN will be required:

• Simple arithmetic operations (e. g., +, -, *, /)

• Simple trigonometric functions (e. g., sin, cos, tan)

• Grouping of expressions using parentheses

• Application of the above on a list of operands (e. g., "(3.141 (2 3 +) (1.571 sin) *)", which, for reference, is ≈15.708) Please, provide test cases to verify your implementation.

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