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
mhto: 2016-11-21 18:32:28

woohoo... AC in one go :D

aronzx: 2016-10-30 07:54:50

Good Problem ! AC in 1 go . #ff0000. However there is no use of priority given over here.

Last edit: 2016-10-30 07:55:17
asgupta_spoj: 2016-10-26 21:40:24

the expression is surely a full bracket expression..

vedantlodha: 2016-10-13 16:14:57

my code is compiling and running fine on codeblocks but showing a compilation error.Whats the problem?Im new to spoj

adi_pra: 2016-10-10 11:33:29

go for shunting yard algorithm , but watch some vedio on it also . Try to implement your own code , dont
do copy , paste and modification . Finally did it .

ace_cocytus: 2016-09-26 10:40:14

The expression is always full brackets (If not, I wont get AC).

hsuyaihtar: 2016-09-03 11:01:03

The description given in problem is very less, read about RPN before attempting.

mr_pudin: 2016-08-27 05:33:20

Solvable with string although stack is easier.
Given expression
(a+b) -> ab+ // Remove Parenthesis and move operator to to end of string
What if (a+(b+c)) //Nested? Recursively evaluate
bc+ > abc++

Last edit: 2016-08-27 05:37:12
manojd929: 2016-08-25 12:43:44

getting wrong answer here . although i got correct answers for all test cases

gutsav: 2016-08-13 21:46:58

AC one go whooo hooo :D


Added by:mima
Date:2004-05-01
Time limit:5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL 6 VB.net
Resource:-

Problem's scores 1 vote

Concept difficulty
Concept difficulty 21%
Implementation difficulty
Implementation difficulty 19%
68 2