#include <iostream>
#include <cstring>
#include <algorithm>

using namespace std;

int get(int a)
{
    int res = 0;
    while (a) res += a % 10, a /= 10;
    return res;
}

int main()
{
    int n;
    cin >> n;
    while (n -- )
    {
        int a, b, sa, sb;
        cin >> a >> b;
        sa = get(a), sb = get(b);
        bool fa = !(a % sb), fb = !(b % sa);
        if (fa ^ fb) cout << "AB"[fb] << endl;
        else cout << "AB"[b > a] << endl;
    }
    return 0;
}