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# Parenthesis Balance I

**Timelimit: 1**

By Neilor Tonin, URI Brazil

Considering an expression with parenthesis, print a message informing if the among of parenthesis is correct or incorrect, without considering the rest of the expression. Example:

a+(b*c)-2-a is correct

(a+b*(2-c)-2+a)*2 is correct

when

(a*b-(2+c) is incorrect

2*(3-a)) is incorrect

)3+b*(2-c)( is incorrect

Resuming, all closing parenthesis must have an open parenthesis and it's not possible a closing parenthesis without a previous open parenthesis, and the quantity of closing and open parenthesis must be the same.

The input file contains **N **expressions (1 <= **N **<= 10000), each one with up to 1000 characters.

The output must be **correct** or **incorrect **for each test case according with above rules.

Input Sample | Output Sample |

a+(b*c)-2-a |
correct correct incorrect incorrect incorrect |