P16495 [CodeChef] NUMGAME2
普及-
题目描述

Alice and Bob play the following game.They choose a number N to play with.The runs are as follows :

1.Bob plays first and the two players alternate.

2.In his/her turn ,a player can subtract from N any prime number(including 1) less than N.The number thus obtained is the new N.

3.The person who cannot make a move in his/her turn loses the game.

Assuming both play optimally,who wins the game ?

------ Input format: ------

The first line contains the number of test cases T.Each of the next lines contains an integer N.

------ Output format: ------

Output T lines one for each test case,containing "ALICE" if Alice wins the game ,or "BOB" if Bob wins the game.

Constraints:
1 ≤ T ≤ 1000000
1 ≤ N ≤ 1000000000

Note : For the first test case, Bob cannot make any move and hence Alice wins the game. For the second test case, Bob subtracts 1 from N. Now, Alice cannot make a move and loses the game.

----- Sample Input 1 ------
2
1
2
----- Sample Output 1 ------
ALICE
BOB

输入格式

见题面

输出格式

见题面

样例输入
2 1 2
样例输出
ALICE BOB