Stack... ( Reverse Polish Notation or Infix To Post Fix)
A very common and classical problem which involves use of stack is to convert a given infix expression to a post fix expression or Reverse Polish Notation .
Transform the Expression:
Transform the Expression:
Transform the algebraic expression with brackets into RPN form (Reverse Polish Notation). Two-argument operators: +, -, *, /, ^ (priority from the lowest to the highest), brackets ( ). Operands: only letters: a,b,...,z. Assume that there is only one RPN form (no expressions like a*b*c).
Input
t [the number of expressions <= 100]
expression [length <= 400]
[other expressions]
Text grouped in [ ] does not appear in the input file.
Output
The expressions in RPN form, one per line.
Example
Input:
3
(a+(b*c))
((a+b)*(z+x))
((a+t)*((b+(a+c))^(c+d)))
Output:
abc*+
ab+zx+*
at+bac++cd+^*