#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
ll x=26;
ll bsbit=13;
ll r[2]={-1,-2};//Respuesta
vector<int> bs(bsbit,(1LL<<bsbit)/2);
std::vector<std::vector<int>> devise_strategy(int N) {
for(int i=1;i<=bsbit;i++)bs[i]=bs[i-1]/2;
vector<vector<int>> v (x+50,vector<int> (N + 1, 0));
v[0][0]=1;
for(int i=1;i<=N;i++){
ll actualbit=i/bs[0];
actualbit%=2;
/// value bit
v[0][i]=actualbit*bsbit+0;
v[0][i]++;
}
for(int i=1;i<=x;i++){
ll inf=i-1;
ll bit=inf%bsbit;
inf/=bsbit;
v[i][0]=bit%2;//Bolsa
//cerr<<"bit: "<<12-bit<<" bolsa:"<<v[i][0]<<" contenido de la otra:"<<inf<<"\n";
//cerr<<"\n\n\n\n"<<v[i][0]<<" ";
for(int j=1;j<=N;j++){
ll actualbit=j/bs[bit];
actualbit%=2;
//cerr<<"\t"<<actualbit<<"\n";
if(actualbit!=inf){
if(actualbit<inf)v[i][j]=r[v[i][0]];
else v[i][j]=r[1-v[i][0]];
}
else{
if(bit==12)continue;
// value bit
v[i][j]=((j/bs[bit+1])%2)*bsbit+(bit+1);
v[i][j]++;
}
//cerr<<v[i][j]<<" ";
}
}
// cout<<"\n(:\n";
return v;
}
/*
static constexpr int kNumPrisoners = 500;
static void invalid_strategy(std::string message) {
printf("%s\n", message.c_str());
exit(0);
}
int main() {
int N;
assert(1 == scanf("%d", &N));
std::vector<std::vector<int>> strategy = devise_strategy(N);
if (strategy.size() == 0) {
invalid_strategy("s is an empty array");
}
int x = strategy.size() - 1;
for (int i = 0; i <= x; ++i) {
if (static_cast<int>(strategy[i].size()) != N + 1) {
invalid_strategy("s[i] contains incorrect length");
}
if (strategy[i][0] < 0 || strategy[i][0] > 1) {
invalid_strategy("First element of s[i] is non-binary");
}
for (int j = 1; j <= N; ++j) {
if (strategy[i][j] < -2 || strategy[i][j] > x) {
// cout<<strategy[i][j]<<" "<<i<<" "<<j<<"\n";
invalid_strategy("s[i][j] contains incorrect value");
}
}
}
//FILE *log_file = fopen("log.txt","w");
int A, B;
while (1 == scanf("%d", &A) && A != -1) {
assert(1 == scanf("%d", &B));
bool answer = false;
int whiteboard = 0;
for (int i = 0; i < kNumPrisoners && !answer; ++i) {
int check = strategy[whiteboard][0];
whiteboard = strategy[whiteboard][check == 0 ? A : B];
if (whiteboard < 0) {
answer = true;
printf("%c\n", "BA"[whiteboard + 2]);
} else {
if (i > 0) {
printf( " ");
}
printf( "%d", whiteboard);
}
}
if (!answer) {
printf("X\n");
}
printf( "\n");
}
}
//*/
