巴士博弈

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int main()
{
    int T;
    cin >> T;
    for(int t = 1; t <= T; t++)
    {
        ll n, k;
        cin >> n >> k;
        if(n%(k + 1) == 0)
            cout << "B" << endl;
        else cout << "A" << endl;
    }
    return 0;
}