Number Game Revisited

Problem code: NUMGAME2

All submissions for this problem are available.

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.

Example

Sample Input:
2
1
2


Sample Output:
ALICE
BOB


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.

Date:	2010-11-23
Time limit:	1s
Source limit:	50000B
Languages:	All

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Program should read from standard input and write to standard output.

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