#include <iostream>
#include <cmath>
#include <algorithm>
#include <string>
#include <vector>
#include <map>
#include <unordered_map>
#include <queue>
#include <set>
#include <unordered_set>
#include <complex>
#include <list>
#include <cassert>
#include <chrono>
#include <random>
#include <stack>
#include <iomanip>
#include <fstream>
using namespace std;
#define endl "\n"
// #define int long long
const int INF = 1e9+7;
const int MOD = 1e9+7;
// int press(string p){cout << p << " "; int nr; cin >> nr; return nr;};
int press(string p);
string guess_sequence(int n){    
    string sol;
    vector<char> ops;
    if(press("AB")){
        if(press("A")){
            sol += 'A';
            ops = {'B', 'X', 'Y'};
        } else {
            sol += 'B';
            ops = {'A', 'X', 'Y'};
        }
    } else {
        if(press("X")){
            sol += 'X';
            ops = {'A', 'B', 'Y'};
        } else {
            sol += 'Y';
            ops = {'A', 'B', 'X'};
        }
    }
    if(n == 1) return sol;
    while(sol.size() < n-1){
        int ans = press(sol+ops[0]+ops[0]+sol+ops[0]+ops[1]+sol+ops[0]+ops[2]+sol+ops[1]);
        if(ans == sol.size()+2){
            sol += ops[0];
        } else if(ans == sol.size()+1){
            sol += ops[1];
        } else {
            sol += ops[2];
        }
    }
    if(press(sol+"AB") > sol.size()){
        if(press(sol+'A') > sol.size()) sol += 'A';
        else sol += 'B';
    } else {
        if(press(sol+'X') > sol.size()) sol += 'X';
        else sol += 'Y';
    }
    return sol;
}
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