# include <bits/stdc++.h>
# define int long long
# define vi vector<int>
# define pb push_back
# define pii pair<int, int>
# define fi first
# define se second
# define endl '\n'
# define jess ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
using namespace std;
int l, q, a[1000004], b[1000005], c[5005];
string t[1000004];
void solve () {
cin >> l >> q;
for(int i=1; i<=q; i++) {
cin >> t[i];
if(t[i]=="alojzije") {
cin >> a[i];
int idx=1;
vi v;
for(int j=0; j<=9; j++) {
if(((a[i]>>j)&1)==1) {
for(int ii=1; ii<=j*2+1; ii++) v.pb(idx);
idx+=2;
}
}
cout << v.size() << " ";
for(int j : v) cout << j << " ";
cout << endl;
}
else if(t[i]=="benjamin") {
cin >> b[i];
int idx=2;
vi v;
for(int j=0; j<=9; j++) {
if(((b[i]>>j)&1)==1) {
for(int ii=1; ii<=j*2+2; ii++) v.pb(idx);
idx+=2;
}
}
cout << v.size();
for(int j : v) cout << j << " ";
cout << endl;
} else {
int len; cin >> len;
int ben=0, alo=0;
for(int j=1; j<=len; j++) {
cin >> c[i];
if(c[i]%2==0) {
ben+=(1LL<<((c[i]-2)/2));
} else {
alo+=(1LL<<((c[i]-1)/2));
}
}
if(ben>alo) cout << "B" << endl;
else cout << "A" << endl;
}
}
}
signed main() {
jess;
solve();
}
