#include <bits/stdc++.h>
using namespace std;
#define POPCOUNT(n) (__builtin_popcountll((n)))
#define CLZ(n) (__builtin_clzll((n)))
#define CTZ(n) (__builtin_ctzll((n)))
#define LOG(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))
#define Int __int128
#define fi first
#define se second
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;
template <class T1, class T2> bool maximize(T1 &x, T2 y) {
if (x < y) {
x = y;
return true;
}
return false;
}
template <class T1, class T2> bool minimize(T1 &x, T2 y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template <class T> void remove_duplicate(vector<T> &ve) {
sort (ve.begin(), ve.end());
ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
template <class T1, class T2> T1 random(T1 l, T2 r) {
return uniform_int_distribution<T1>(l, r)(rng);
}
template <class T> T random(T r) {
return rng() % r;
}
const int N = 1e6 + 5, LG = 20;
const int MOD = 1e9 + 7;
const int inf = 1e9;
const long long INF = 1e18;
int L;
void solve() {
string who; cin >> who;
if (who == "alojzije") {
int A; cin >> A;
vector<int> ans; int num = 0;
for (int i = LG - 1; i >= 0; --i) {
if (BIT(A, i)) num += MASK(i), ans.emplace_back(num);
}
cout << ans.size() << ' ';
for (auto &x : ans) cout << x << ' ';
cout << '\n';
}
else if (who == "benjamin") {
int B; cin >> B;
vector<int> ans; int num = 0;
for (int i = LG - 1; i >= 0; --i) {
if (!BIT(B, i)) ans.emplace_back(ON(num, i));
else num += MASK(i);
}
cout << ans.size() << ' ';
for (auto &x : ans) cout << x << ' ';
cout << '\n';
}
else {
int lc; cin >> lc;
vector<int> val(lc);
for (auto &x : val) cin >> x;
if (val.back() == 2) cout << "A\n";
else cout << "B\n";
}
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
cin >> L;
int t; cin >> t;
while (t--) solve();
return 0;
}
