Write a program that reads expressions from the user in their standard mathematical form and then displays those same expressions using reverse Polish notation, in which the operators follow the...

Write a program that reads expressions from the user in their standard mathematical form and then displays those same expressions using reverse Polish notation, in which the operators follow the operands to which they apply. (Reverse Polish notation, or RPN, was introduced in the discussion of the calculator application in Chapter 4.) Your program should be able to duplicate the following sample run: