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+^*

hide comments
Manoj Ransing: 2011-02-17 05:31:23

Can I expect the expressions like a+b*c? (without () brackets)

Gabriel Peixoto: 2009-08-30 23:12:53

I forgot to empty my operand stack after reading the expression and got AC!

Input: a+b
My program answer: ab (without the +)


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:-

Problem's scores 1 vote

Concept difficulty
Concept difficulty 22%
Implementation difficulty
Implementation difficulty 23%
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