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
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输出格式
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