CodeFights, a website where you pit your debugging skills against others, has been recently popular among your friends. The trick to winning is knowing when to pick fights! Each player has a rating based on the Elo system (an integer between $1$ and $3000$), and the higher your rating, the "better" you are. You have a rating of $A$, and there are $N$ competitors lined up to fight you. If the difference between your ratings is greater than $100$, you should reject their challenge. Otherwise, you should accept. Can you write a program to decide when you should program?

Input Specification

The first line of input will have one integer: $A$.

The second line of input will have one integer: $N$.

The next $N$ lines will have one integer each, $k$ — representing the rating of a competitor who wants to fight you.

Output Specification

For each competitor, either output fite me! >:3 if the rating difference is less than or equal to $100$, otherwise go away! 3:<. The answer to each competitor should be on separate lines.

Constraints

$1\le N\le 500$

Sample Input

1500
5
1200
1100
1399
1450
1530

Sample Output

go away! 3:<
go away! 3:<
go away! 3:<
fite me! >:3
fite me! >:3