/*
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*/
#include "iostream"
#include "vector"
#include "map"
#include "math.h"
#include "string"
#include "algorithm"
#include "set"
#include <iterator>
#include <string.h>
#include <queue>
#include <list>
#include "combo.h"
using namespace std;
typedef long long ll ;
const ll M = 1e9 + 7 ;
const ll oo = 1e13 ;
int head , len=1;
void start();
void end(int N);
string c="ABXY",S,id;
vector<string>h[4];
string generate_press(){
return S+id[0]+S+id[1]+id[0]+
S+id[1]+id[1]+S+id[1]+id[2];
}
string guess_sequence(int N){
start();
while(len<N-1){
int opt = press(generate_press()) - len;
S+=id[(opt+2)%3];++len;
}
if (len==N-1) end(N);
return S;
}
void start(){
S=id="";
if (press("AB")){
if (press("A")) S+=c[head=0];
else S+=c[head=1];
}
else{
if (press("X")) S+=c[head=2];
else S+=c[head=3];
}
for (int i=0;i<4;++i)
if (i!=head) id+=c[i];
}
void end(int N){
if (press((S+id[0]+S+id[1]))==N){
if (press((S+id[0]))==N) S+=id[0];
else S+=id[1];
}
else S+=id[2];
}
