#include <bits/stdc++.h>
using namespace std;
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
int lim, queries; cin >> lim >> queries;
while (queries--){
string op; cin >> op;
if (op == "alojzije"){
int x; cin >> x;
vector<int> ans;
for (int i = 0; i < 10; i++)
if (x & (1 << i)){
int amt = (i << 1) + 1;
for (int j = 0; j < amt; j++) ans.push_back(amt);
}
cout << ans.size() << '\n';
for (int x : ans) cout << x << ' ';
}
else if (op == "benjamin"){
int x; cin >> x;
vector<int> ans;
for (int i = 0; i < 10; i++)
if (x & (1 << i)){
int amt = (i << 1) + 2;
for (int j = 0; j < amt; j++) ans.push_back(amt);
}
cout << ans.size() << '\n';
for (int x : ans) cout << x << ' ';
}
else{
int nums; cin >> nums;
int a = 0, b = 0;
for (int i = 0; i < nums; i++){
int x; cin >> x;
if (x & 1) a += 1 << ((x - 1) >> 1);
else b += 1 << ((x - 2) >> 1);
}
cout << (a > b ? 'A' : 'B');
}
cout << '\n';
}
}
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