Problem Statement

You are given a string $S$ of length $N$ consisting of three kinds of characters: ., |, and *. $S$ contains exactly two | and exactly one *.

Determine whether the * is between the two |, and if so, print in; otherwise, print out.

More formally, determine whether one of the characters before the * is | and one of the characters after the * is |.

Constraints

• $3\\leq N\\leq 100$
• $N$ is an integer.
• $S$ is a string of length $N$ consisting of ., |, and *.
• $S$ contains exactly two |.
• $S$ contains exactly one *.

Input

The input is given from Standard Input in the following format:

$N$ $S$

Output

Print a single line containing in if the * is between the two |, and out otherwise.

Sample Input 1

10
.|..*...|.

Sample Output 1

in

Between the two |, we have |..*...|, which contains *, so you should print in.

Sample Input 2

10
.|..|.*...

Sample Output 2

out

Between the two |, we have |..|, which does not contain *, so you should print out.

Sample Input 3

3
|*|

Sample Output 3

in