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
code_killerx: 2016-06-18 19:17:41

Stack 101 AC in one go!!

mkfeuhrer: 2016-06-16 23:44:51

as easy as stack can be :-P ....basic prob no issues !! already had the code :-) AC :-)

candide: 2016-06-11 09:14:55

Easy and classical question, no trap. After multiple tries, AC in Python in 0.00s (observe that left parenthesis are useless). Problem description is unclear.

gurjits909: 2016-05-31 10:25:22

but in my compiler its execution is normal
and when i upload it ,it show segmentation fault

gurjits909: 2016-05-31 10:22:20

Last edit: 2016-05-31 10:52:21
get_right_jr: 2016-05-31 07:56:56

Infix to Postfix

avisheksanvas: 2016-05-17 16:30:29

Priority rule implementation isn't necessary.
And don't think of skipping a[0] and a[len-1]. They're not always brackets :p

mrhex: 2016-05-13 21:04:39

All operators have the same priority. Parentheses are always used, just like in the examples. Explanation should be clearer, because without parentheses and with different operator priority it is quite difficult.

mohitgupta07: 2016-05-13 20:39:32

ac in a go :P :P using string,string buffers are much better than creating a stack :D :D ...Java everywhere :P :P
hint:- study ur ds book :P :P

bhushangawde: 2016-05-13 12:21:14

its sayn size exceeded. what shud i do please suggest


Added by:Michał Małafiejski
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 17%
52 2