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/* Pham Ngoc Tho aka Chis Pham */
/* [Author : Pham Ngoc Tho] - THPT Chuyen Nguyen Du */
/* [ 2024 - 12TH GO VOI 24 ] - From Nguyen Du with love */
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include<bits/stdc++.h>
#include<combo.h>
using namespace std;
#define oo 0x3f
#define ff first
#define ss second
#define endl "\n"
#define ins insert
#define chis id<<1
#define pham (id<<1) + 1
#define sqr(x) ((x) * 1ll * (x))
#define gcd(a, b) __gcd(a, b)
#define pb push_back
#define all(x) x.begin(), x.end()
#define allr(x) x.rbegin(),x.rend()
#define repu(i, x, n) for(int i = x; i <= n; ++i)
#define repd(i, n, x) for(int i = n; i >= x; --i)
#define reset(x, val) memset(x, val, sizeof(x))
typedef double db;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll, ll> pll;
template<class T> bool getbit(T val, int i) { return (val >> i) & 1; }
template<class T> int cntbit(T val) { return val == 0 ? 0 : cntbit(val >> 1) + (val & 1); }
template<class T> ll fpow(T a, const T b) { ll res = 1, x = a, y = b; while(y){if(y & 1)res *= x; x = x * x; y>>=1;}; return res; }
template<class T> ll modfpow(T a, T b, const T &m) { ll res = 1, x = a, y = b; x %= m; while(y){if(y & 1){res *= x; res %= m;}; x = x * x; x %= m; y >>= 1; } return res % m; }
template<class T> T lcm(T &a, T &b) { return a / gcd(a, b) * b; }
const int mod = 1e9 + 7;
const int INF = 1e9 + 7;
const ll LNF = 1e18 + 7;
inline char gc() { static char buf[1 << 23]; static size_t bc, be; if(bc >= be){ buf[0] = 0, bc = 0; be = fread(buf, 1, sizeof(buf), stdin); } return buf[bc++]; }
ll readLL() { ll a, c; while ((a = gc()) < 20); if (a == '-') return -readLL(); while ((c = gc()) >= 48) a = a * 10 + c - 480; return a - 48; }
int readInt() { int a, c; while ((a = gc()) < 10); if (a == '-') return -readInt(); while ((c = gc()) >= 48) a = a * 10 + c - 480; return a - 48; }
mt19937 RND(time(nullptr));
ll rnd(ll l, ll r)
{
assert(l <= r);ll L = l, R = r;
ll aft = (L + RND() * 1LL % (R - L + 1));
return aft;
}
#define TASK "name"
#define FILE "DEBUG"
void setIO()
{
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
}
template<class T> T multi(const T &a, const T &b) { T res = (a*b)%mod; return res;}
template<class T> bool umax(T &a, T b) { if(a < b){ a = b; return 1;} else return 0;}
template<class T> bool umin(T &a, T b) { if(a > b){ a = b; return 1;} else return 0;}
const int NmX = 1e5 + 7;
const int dx[] = {0, 0, 1, -1};
const int dy[] = {1, -1, 0, 0};
// int press(string s){
// cout<<s<<endl;
// int val;cin>>val;return val;
// }
string guess_sequence(int N){
string c[] = {"A", "B", "X", "Y"};
string ans = "", temp = "";
if(press("AB")){
if(press("A")) ans += 'A';
else ans += 'B';
}else if(press("X")) ans += 'X';
else ans += 'Y';
repu(i, 0, 3) if(ans != c[i]) temp += c[i];
// cout <<temp<<endl;
repu(i, 1, N - 2){
string s = ans + temp[0] + temp[0] + ans + temp[0] + temp[1] + ans + temp[0] + temp[2] + ans + temp[1];
int len = press(s);
if(len == i + 2) ans += temp[0];
else if(len == i + 1) ans += temp[1];
else ans += temp[2];
}
if(N >= 2){
if(press(ans + temp[0]) == N){
ans += temp[0];
}else if(press(ans + temp[1]) ==N){
ans += temp[1];
}else ans += temp[2];
}
return ans;
}
// main(){
// cout<< guess_sequence(5);
// return 0;
// }
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