Time Limit: 1000 ms

Memory Limit: 65535 ms


Bob and Alice are playing a new game. There are n boxes which have been numbered from 1 to n. Each box is either empty or contains several cards. Bob and Alice move the cards in turn. In each turn the corresponding player should choose a non-empty box A and choose another box B that B<A && (A+B)%2=1 && (A+B)%3=0. Then, take an arbitrary number (but not zero) of cards from box A to box B. The last one who can do a legal move wins. Alice is the first player. Please predict who will win the game.


The first line contains an integer T (T<=100) indicating the number of test cases. The first line of each test case contains an integer n (1<=n<=10000). The second line has n integers which will not be bigger than 100. The i-th integer indicates the number of cards in the i-th box.


For each test case, print the case number and the winner's name in a single line. Follow the format of the sample output.

Sample Input

1 2
1 3 3 2 2 1 2

Sample Output

Case 1: Alice
Case 2: Bob



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