Problem hidden
This problem was hidden by Editorial Board member probably because it has incorrect language version or invalid test data, or description of the problem is not clear.

Problem hidden on 2013-01-29 08:16:33 by :D

RESN04 - STONE GAME


Alice and Bob play the following game : There are N piles of stones with Si stones in the ith pile. Piles are numbered from 1 to N. Alice and Bob play alternately, with Alice starting. In a turn, the player chooses any pile i which has at least i stones in it, and removes exactly i stones from it. The game ends when there is no such pile. The player who plays last wins the game. Assuming Alice and Bob play optimally, who will win the game?

Input

The first line contains the number of test cases T (<= 100). There follow 2T lines, 2 per test case. The first line of each test case contains N (<= 100), the number of piles. The second line contains N space separated integers, specifying the number of stones in pile 1, pile 2, ... pile N. There will be at least 1 and at most 1000 stones in any pile.

Output

Output T lines, one per test case. For each test case, output "ALICE" if Alice wins the game, and "BOB" if Bob wins the game.

Example

Input:
2
1
1
2
1 1

Output:
ALICE
ALICE

Added by:mukulrajput
Date:2009-12-26
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:http://www.codechef.com