This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include <combo.h>
using namespace std;
//#define int long long
#define vi vector<int>
#define vvi vector<vi>
#define pii pair<int,int>
#define vpii vector<pii>
#define vvpii vector<vpii>
#define vb vector<bool>
#define vc vector<char>
#define vvc vector<vc>
#define vvb vector<vb>
#define si set<int>
#define mii map<int,int>
const int mod=1e9+7;
const int N=2e5+1;
int fact[N],frev[N],s[N],l[N];
bool P[N];
vi primes;
vvi G;
vb B;
int gcd(int a,int b){
if(b==0)return a;
return gcd(b,a%b);
}
int mcm(int a,int b){
return (a*b)/gcd(a,b);
}
int poW(int a,int p){
if(p==0)return 1;
if(p==1)return a;
return poW(a*a%mod,p/2)*(p%2?a:1)%mod;
}
bool prime(int n){
if(n<=1)return false;
for(int i=2;i*i<=n;i++){
if(n%i==0)return false;
}
return true;
}
void initfact(){
fact[0]=fact[1]=frev[0]=frev[1]=1;
for(int i=2;i<N;i++){
fact[i]=i*fact[i-1]%mod;
frev[i]=poW(fact[i],mod-2);
}
}
int choose(int n,int k){
if(n<k)return 0;
return (fact[n]*frev[k]%mod)*frev[n-k]%mod;
}
void initPrimes(){
memset(P,true,sizeof(P));
P[0]=P[1]=false;
for(int i=2;i<N;i++){
if(P[i]){
primes.push_back(i);
for(int j=i*2;j<N;j+=i){
P[j]=false;
}
}
}
}
void resetdsu(){
for(int i=0;i<N;i++){
s[i]=1;
l[i]=i;
}
}
int find(int x){
while(x!=l[x])x=l[x];
return x;
}
bool same(int a,int b){
return find(a)==find(b);
}
void unite(int a,int b){
a=find(a);
b=find(b);
if(s[a]<s[b])swap(a,b);
l[b]=a;
s[a]+=s[b];
}
void dfs(int u){
B[u]=true;
for(int v : G[u]){
if(!B[v]){
dfs(v);
}
}
}
/*int press(string s){
cout<<s<<endl;
int x;
cin>>x;
return x;
}*/
string guess_sequence(int n){
char f;
string sol="";
if(press("A")==1){
sol="A";
f='A';
}
else if(press("B")==1){ //YBXBX
sol="B";
f='B';
}
else if(press("X")==1){
sol="X";
f='X';
}
else{
sol="Y";
f='Y';
}
if(n==1)return sol;
for(int i=1;i<n-1;i++){
if(f=='A'){
string aux=sol+"B"+sol+"XB"+sol+"XX"+sol+"XY";
int val=press(aux);
if(val==i+0){
sol.push_back('Y');
}
else if(val==i+1){
sol.push_back('B');
}
else sol.push_back('X');
}
if(f=='B'){
string aux=sol+"A"+sol+"XA"+sol+"XX"+sol+"XY";
int val=press(aux);
if(val==i+0){
sol.push_back('Y');
}
else if(val==i+1){
sol.push_back('A');
}
else sol.push_back('X');
}
if(f=='X'){
string aux=sol+"B"+sol+"AB"+sol+"AA"+sol+"AY";
int val=press(aux);
if(val==i+0)sol.push_back('Y');
else if(val==i+1)sol.push_back('B');
else sol.push_back('A');
}
if(f=='Y'){
string aux=sol+"B"+sol+"XB"+sol+"XX"+sol+"XA";
int val=press(aux);
if(val==i+0)sol.push_back('A');
else if(val==i+1)sol.push_back('B');
else sol.push_back('X');
}
}
if(f=='A'){
string aux=sol+"B"+sol+"X";
int val=press(aux);
if(val==n-1){
sol.push_back('Y');
return sol;
}
else{
aux=sol+"B";
val=press(aux);
if(val==n-1){
sol.push_back('X');
return sol;
}
else{
sol.push_back('B');
return sol;
}
}
}
if(f=='B'){
string aux=sol+"A"+sol+"X";
int val=press(aux);
if(val==n-1){
sol.push_back('Y');
return sol;
}
else{
aux=sol+"A";
val=press(aux);
if(val==n-1){
sol.push_back('X');
return sol;
}
else{
sol.push_back('A');
return sol;
}
}
}
if(f=='X'){
string aux=sol+"B"+sol+"A";
int val=press(aux);
if(val==n-1){
sol.push_back('Y');
return sol;
}
else{
aux=sol+"B";
val=press(aux);
if(val==n-1){
sol.push_back('A');
return sol;
}
else{
sol.push_back('B');
return sol;
}
}
}
string aux=sol+"B"+sol+"X";
int val=press(aux);
if(val==n-1){
sol.push_back('A');
return sol;
}
aux=sol+"B";
val=press(aux);
if(val==n-1){
sol.push_back('X');
return sol;
}
sol.push_back('B');
return sol; //XBYAB
}
/*signed main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin>>n;
cout<<guess_sequence(n);
}*/
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