Parentheses P35352

Your task is to write a program that determines, for each given word, if it is correctly parenthesized or not. Here, a word is a non empty sequence of ’(’, ’)’, ’[’ and ’]’ without intermediate spaces.

For instance, these are some words correctly parenthesized:

And these are some words incorrectly parenthesized:

Input

The input consists of a series of words of between 1 and 1000 characters, one per line.

Output

For each given word, your program must print "correct" or "incorrect" as required.

Scoring

• TestA:  30 Points 

  Some test cases will include words like the ones in the instance 1, that is, only with the characters ’(’ y ’)’.

• TestB:  70 Points 

  Other test cases will include words with the characters ’(’, ’)’, ’[’ y ’]’.