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 ~3\,000~), 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