github.com/captn3m0/codechef.git

---
category_name: school
problem_code: ONP
problem_name: 'Transform the Expression'
languages_supported:
    - ADA
    - ASM
    - BASH
    - BF
    - C
    - 'C99 strict'
    - CAML
    - CLPS
    - 'CPP 4.3.2'
    - 'CPP 4.9.2'
    - CPP14
    - CS2
    - D
    - ERL
    - FORT
    - GO
    - HASK
    - ICK
    - ICON
    - JAVA
    - JS
    - 'LISP clisp'
    - 'LISP sbcl'
    - LUA
    - NEM
    - NICE
    - NODEJS
    - 'PAS fpc'
    - 'PAS gpc'
    - PERL
    - PHP
    - PIKE
    - PRLG
    - PYTH
    - 'PYTH 3.4'
    - RUBY
    - SCALA
    - 'SCM guile'
    - 'SCM qobi'
    - ST
    - TEXT
    - WSPC
max_timelimit: '5'
source_sizelimit: '50000'
problem_author: admin
problem_tester: null
date_added: 1-12-2008
tags:
    - admin
time:
    view_start_date: 1232460231
    submit_start_date: 1232460231
    visible_start_date: 1232460231
    end_date: 1735669800
    current: 1492507635
layout: problem
---
All submissions for this problem are available.Reverse Polish Notation (RPN) is a mathematical notation where every operator follows all of its operands. For instance, to add three and four, one would write "3 4 +" rather than "3 + 4". If there are multiple operations, the operator is given immediately after its second operand; so the expression written "3 − 4 + 5" would be written "3 4 − 5 +" first subtract 4 from 3, then add 5 to that. Transform the algebraic expression with brackets into RPN form.

You can assume that for the test cases below only single letters will be used, brackets \[\] will not be used and each expression has only one RPN form (no expressions like a\*b\*c)

### Input

The first line contains t, the number of test cases (less then 100).

Followed by t lines, containing an expression to be translated to RPN form, where the length of the expression is less then 400.

### Output

<pre>
The <em>expression</em>s in RPN form, one per line.
</pre>### Example

<pre>
Input:
3
(a+(b*c))
((a+b)*(z+x))
((a+t)*((b+(a+c))^(c+d)))

Output:
abc*+
ab+zx+*
at+bac++cd+^*
</pre>