#include<bits/stdc++.h> using namespace std; int f(int a, int b){ int count1=0; if(b==1) count1=a; else count1=f(a,b-1)*a; return count1; } int main(void){ int a,b,n; int T; int count=0; int c,d; cin>>T; while(T && cin>>a>>b>>n) { T--; count=0; for(int i=1;count<n;i++) { c=a; d=b; if (f(a+1,b)<=f(a,b+1)) { count=f(a+1,b); a=a+1; } else { count=f(a,b+1); b=b+1; } if(count==f(c,d)) { count=n; cout<<"A&B"<<endl; } else if(count>=n) { if(i%2) cout<<"A"<<endl; else cout<<"B"<<endl; } } } }