https://baike.baidu.com/item/%E5%A8%81%E4%BD%90%E5%A4%AB%E5%8D%9A%E5%BC%88/19858256?fr=aladdin&fromid=7139745&fromtitle=%E5%A8%81%E4%BD%90%E5%A4%AB%E5%8D%9A%E5%A5%95
#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;
}