beecrowd | 2709

The Coins of Robbie

By Adriano Pereira Almeida, Centro Universitário Estácio da Amazônia BR Brazil

Timelimit: 1

Robbie is a very charismatic robot, and one of the things that he most likes to do, besides playing with Glória, it's to collect coins. Robbie has several coins with equal or different values, and all with the same size. They are stored in an organized manner on top of each other, inside a glass cylinder. Robbie always plays a little game with Glória using his coins whenever she asks to play hide and seek with him, or when she asks him to take her for a walk. The rule of the game is: Glória has to choose any number N, which will be added, then for each coin N  the value of the coin Vi is added until there aren't more coins, in other words Ʃ of ((VM-(N*0) )+(VM-(N*1))+(VM-(N*2))...), M is the number of coins. Such as that if there are 5 coins with values of 1, 2, 3, 4 and 5, and Glória chooses 2 as number of jumps (did not understand what the author meant here by jumps), then the coins will be added as 5, 3 and 1, resulting in 9. In the end, Robbie checks if the sum of these coins is a prime number, if it results in yes, he will do what Glória wants, if it doesn't, the little girl will convince Robbie to play again, because she can always make him do everything, saying that will make him stop telling stories if he doesn't complies.

You, as a good developer of U.S Robots, will help this two friends, by coding a computer program that will give the result of the game.

Input

The input contains several test cases. The first line of a test case contains an integer M (2 ≤ M ≤ 20) that represents the quantity of coins. Each of the next lines M contains an integer Vi (1 ≤ Vi ≤500) that represents the value of coins Mi , and for the last one, a integer N (1 ≤ N ≤ M) that’s the jump in the added choosen by Gloria.

The input ends with EOF.

Output

Print “You’re a coastal aircraft, Robbie, a large silver aircraft.”, if Gloria win the game, or “Bad boy! I’ll hit you.”, if Glória loose the game. The output should be no quotation marks.

Input Sample Output Sample

5
1
2
3
4
5
2

5
1
2
3
4
5
3

Bad boy! I’ll hit you.

You’re a coastal aircraft, Robbie, a large silver aircraft.