#include<bits/stdc++.h>
#include<stdio.h>
#include<iostream>
#include<cmath>
#include<math.h>
#include<queue>
#include<set>
#include<map>
#include<iomanip>
#include<algorithm>
#include<stack>
using namespace std;
#define inf 0x3f3f3f3f
typedef long long ll;
int main()
{
#ifndef ONLINE_JUDGE
    freopen("in.txt","r",stdin);
#endif // ONLINE_JUDGE
    int t;ll a,b;ll tmpa,tmpb;ll k;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%lld%lld",&tmpa,&tmpb);
        a=min(tmpa,tmpb);
        b=max(tmpa,tmpb);
        k=b-a;
        if((ll)(k*(1+sqrt(5))/2)==a)
            puts("B");
        else puts("A");
    }
    return 0;
}