Problem5173--SPOJ ONP - Transform the ex<x>pression

5173: SPOJ ONP - Transform the expression

[Creator : ]
Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

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.

Sample 1 Input

3
(a+(b*c))
((a+b)*(z+x))
((a+t)*((b+(a+c))^(c+d)))

Sample 1 Output

abc*+
ab+zx+*
at+bac++cd+^*

HINT

【题目来源】
https://www.spoj.com/problems/ONP/

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