// C
#ifndef _GLIBCXX_NO_ASSERT
#include <cassert>
#endif
#include <cctype>
#include <cerrno>
#include <cfloat>
#include <ciso646>
#include <climits>
#include <clocale>
#include <cmath>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#if __cplusplus >= 201103L
#include <ccomplex>
#include <cfenv>
#include <cinttypes>
#include <cstdbool>
#include <cstdint>
#include <ctgmath>
#include <cwchar>
#include <cwctype>
#endif
// C++
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#if __cplusplus >= 201103L
#include <array>
#include <atomic>
#include <chrono>
#include <condition_variable>
#include <forward_list>
#include <future>
#include <initializer_list>
#include <mutex>
#include <random>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <system_error>
#include <thread>
#include <tuple>
#include <typeindex>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#endif
#define va first
#define vb second
#define lb lower_bound
#define ub upper_bound
#define bs binary_search
#define pp push_back
#define ep emplace_back
#define all(v) (v).begin(), (v).end()
#define szz(v) ((int)(v).size())
#define bi_pc __builtin_popcount
#define bi_pcll __builtin_popcountll
#define bi_tz __builtin_ctz
#define bi_tzll __builtin_ctzll
#define fio \
ios_base::sync_with_stdio(0); \
cin.tie(0);
#ifdef TAMREF
#define debug(...) fprintf(stderr, __VA_ARGS__)
#else
#define debug(...) 42
#endif
using namespace std;
template <typename... Args>
void logger(string vars, Args &&...values)
{
cerr << vars << " = ";
string delim = "";
(..., (cerr << delim << values, delim = ", "));
cerr << '\n';
}
#ifdef TAMREF
#define deb(...) logger(#__VA_ARGS__, __VA_ARGS__)
#else
#define deb(...) 42
#endif
using ll = long long;
using lf = long double;
using pii = pair<int, int>;
using ppi = pair<int, pii>;
using pll = pair<ll, ll>;
using pff = pair<lf, lf>;
using ti = tuple<int, int, int>;
using base = complex<double>;
const lf PI = 3.14159265358979323846264338L;
template <typename T>
inline T umax(T &u, T v) { return u = max(u, v); }
template <typename T>
inline T umin(T &u, T v) { return u = min(u, v); }
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
vector<int> ans;
int n, t, qnt;
lf p;
int query(vector<int> F)
{
++qnt;
vector<int> A(n);
for (int i : F)
{
A[i] = 1;
}
cout << "Q ";
for (int x : A)
cout << x;
cout << endl;
int q = 0;
#ifdef TAMREF
for (int i : F)
q = max(q, ans[i]);
#else
string S;
cin >> S;
q = (S == "P");
#endif
return q;
}
int query_seg(int i, int j) {
vector<int> f;
for(int k = i; k <= j; k++) f.push_back(k);
return query(f);
}
int query_seg(pii x) {
return query_seg(x.va, x.vb);
}
void answer(vector<int> F)
{
vector<int> A(n);
for (int i : F)
A[i] = 1;
cout << "A ";
for (int i : A)
cout << i;
cout << endl;
#ifdef TAMREF
assert(ans == A);
#else
string C;
cin >> C;
assert(C == "C");
#endif
}
void init()
{
#ifdef TAMREF
uniform_real_distribution<lf> d(0, 1);
ans = vector<int>(n);
for (int i = 0; i < n; i++)
ans[i] = d(rng);
#endif
}
void run_det()
{
vector<int> ans;
for (int i = 0; i < n; i++)
{
if (query(vector<int>({i})))
ans.push_back(i);
}
answer(ans);
}
void run()
{
uniform_real_distribution st(35.0, 40.0);
vector<int> ans;
deque<pii> segs;
int step = 1;
for (int i = 0; i < n; i += step)
{
step = max(2, int(st(rng) / p));
if (query_seg(i, min(n-1, i+step-1))) segs.emplace_back(i, min(n-1, i+step-1));
}
while (szz(segs))
{
pii sg = segs.front();
segs.pop_front();
if (sg.va == sg.vb) ans.push_back(sg.va);
int m = (sg.vb - sg.va + 1) / 2;
pii lsg(sg.va, sg.va + m - 1), rsg(sg.va + m, sg.vb);
if (query_seg(lsg))
{
segs.push_back(lsg);
if (query_seg(rsg))
{
segs.push_back(rsg);
}
}
else
{
segs.push_back(rsg);
}
}
answer(ans);
}
int main()
{
cin >> n >> p >> t;
if (t == 1)
{
init();
run_det();
}
else
{
for (int j = 0; j < t; j++)
{
init();
run();
}
debug("average query: %.3Lf\n", lf(qnt) / t);
}
}
