Write a class, InfixToPostfixTranslator, that converts an infix expression into a postfix expression. The class should contains a main method that accepts the expression as a command line argument and outputs the resulting postfix expression. Assume the infix expression is always in proper form

  • The operands are of type double
  • The legal operators are +, -, *, /, and ^ (power)
  • ^ is right associative, the others are left-associative
  • The expression should be parsed using Scanner (constructed from the argument string), and thus all elements of the expression -- operands and delimiters -- may be assumed to be whitespace-separated
  • Assume the exception class InfixToPostfixTranslator is available, and has a constructor that accepts a String (the message of the exception)

Here is a typical set of executions of the class:

$ java InfixToPostfixTranslator "1"
1
$ java InfixToPostfixTranslator "1 + 2"
1 2 +
$ java InfixToPostfixTranslator "1 + 2 + 3"
1 2 + 3 +
$ java InfixToPostfixTranslator "1 ^ 2 ^ 3"
1 2 3 ^ ^
$ java InfixToPostfixTranslator "( 1 + 2 ) * 3"
1 2 + 3 *
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