ONP - 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+^*

Added by:mima
Date:2004-05-01
Time limit:5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:-

hide comments
2017-01-29 06:05:04
What is mean by AC??
2017-01-28 07:07:04
yayayay....AC in one go...too happy...did it without stack, was on my todo list for a long time.....my 103rd!!!!!!!!!
2017-01-21 22:18:24
Very weak test cases...I realized after 3 months that my solution was wrong.
2017-01-11 11:46:17
Very weak testcases :/
Even a wrong code of mine was accepted.... xD xD xD
2017-01-06 10:53:13
Stacks stl
2016-12-23 08:09:33
@sheeteyash AC means answer corrected, i.e., your solution is accepted :P
after too many wrong answers, and wastage of 1 day, finally got AC. :)
2016-12-19 10:38:51
ye AC kya hota hain???
2016-12-17 11:54:56
use stacks period.
2016-12-15 21:07:41
AC!!! in c++-->0.0sec
my first stack problem
2016-12-15 18:44:39
yo AC in one GO
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