Transform the Expression

Problem code: ONP

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

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+^*

Date:	2008-12-01
Time limit:	5s
Source limit:	50000B
Languages:	All except: TCL PERL6 CLOJ GO F#
Resource:	-

Submit

Comments

Loading Comments...

SUCCESSFUL SUBMISSIONS FOR THIS PROBLEM:

Loading Submissions...

RECENT ACTIVITY FOR THIS PROBLEM:

Loading Recent Activity...

HELP

Program should read from standard input and write to standard output.

After you submit a solution you can see your results by clicking on the [My Submissions] tab on the problem page. Below are the possible results:

Accepted Your program ran successfully and gave a correct answer. If there is a score for the problem, this will be displayed in parenthesis next to the checkmark.
Time Limit Exceeded Your program was compiled successfully, but it didn't stop before time limit. Try optimizing your approach.
Wrong Answer Your program compiled and ran succesfully but the output did not match the expected output.
Runtime Error Your code compiled and ran but encountered an error. The most common reasons are using too much memory or dividing by zero. For the specific error codes see the help section.
Compilation Error Your code was unable to compile. When you see this icon, click on it for more information.

If you are still having problems, see a sample solution here.