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
aveshmeena: 2015-06-12 06:56:34

anyone done this is #c

candide: 2015-06-06 12:33:41

RPN is a little cryptic, isn't it? IMO there are many spoj problems giving more fun and less popular so why this question is so popular (rank 6)?
Remark : Wording specifies operators priority hierarchy but this is misleading : input always comes with fully parenthesized expressions.

Last edit: 2015-06-13 11:24:37
theplaymaker: 2015-05-20 09:12:13

You will step up from amateur level after solving this

karthik1997: 2015-05-17 18:04:07

my code went well in ideone.but its not working in this spoj compiler .and i did it in c
so please help me with that .dont mind fr the large code .PS .i m an amateur
<snip>

Last edit: 2023-02-09 23:11:42
roronoa_jimmy0: 2015-04-14 09:58:55

where can we get its testing data,

ARS Rana: 2015-04-12 18:37:27

for input a*b*c or a+b+c or a^b^c
what will be output?

Last edit: 2015-04-12 19:25:01
VigneshR: 2015-03-24 15:48:32

Guys, My program works fine ideone. But I get sigsev in SPOJ. I am not sure what is the problem. SPOJ should say for what input it fails. Failing to do that makes it less interesting to continue in SPOJ.

Vijay: 2015-03-18 17:09:15

Guys, for the test cases given above my code returns correct results in spite of which I get wrong answer as result. Can anyone please help?

Tony T.: 2015-03-17 06:47:14

Spent a lot of time fiddling with scanf for strings in ideone. Led to runtime errors.
Resolved by switching to iostream.

sumit suthar: 2015-03-02 07:17:44

no need to check precedence.nice problem.learn a lot.


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 23%
Implementation difficulty
Implementation difficulty 24%
265 7