Fooling Around

Alice and Bob take turns playing a game, with Alice going first. They begin with a pile of $N$ stones, each turn removing one less than a prime number of stones. The person who removes the last stone wins. Given $N$, determine who wins the the game, assuming Alice and Bob both play optimally.

The first line of input consists of a integer $Q$, the number of testcases, with $1 \leq Q \leq 100$. The next $Q$ lines each contains a single integer $N$, representing the number of stones in the pile, where $1 \leq N \leq 10^9$.

For each test case, output the winner “`Alice`” or “`Bob`”. Each
testcase’s output should be printed on their own line.

Sample Input 1 | Sample Output 1 |
---|---|

6 1 2 3 5 8 13 |
Alice Alice Bob Alice Bob Alice |