#include <bits/stdc++.h>
using namespace std;
//#define LOCAL
#ifndef LOCAL
#include "message.h"
#endif
#define FOR(i, n) for (int i = 0; i < n; ++i)
#define REP(i, n, m) for (int i = n; i <= m; ++i)
#define REPR(i, n, m) for (int i = n; i >= m; --i)
#define FORR(x, a) for (auto& x : a)
#define FORR2(x, y, a) for (auto& [x, y] : a)
#define ALL(x) (x).begin(), (x).end()
#define RALL(x) (x).rbegin(), (x).rend()
#define SZ(a) ((int)a.size())
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<bool> vb;
typedef vector<vi> vvi;
typedef vector<vl> vvl;
typedef vector<vb> vvb;
const int INF = 1e9;
const ll LLINF = 1e18;
const int N = 31;
#ifdef LOCAL
vb LOCAL_C;
vvb R;
std::vector<bool> send_packet(std::vector<bool> A) {
vb ret(N);
FOR(i, N)
if (LOCAL_C[i]) ret[i] = rand() % 2;
else ret[i] = A[i];
//cout << "sending: "; FOR(i, N) cout << ret[i] << " "; cout << endl;
R.push_back(ret);
//if (SZ(R) == 31) cout << endl;
return ret;
}
#endif
void send_message(std::vector<bool> M, std::vector<bool> C) {
#ifdef LOCAL
LOCAL_C = C;
#endif
bool sf = 0, sb = 0;
int idxf = 0, idxb = 0;
FOR(i, N) {
if (!C[i]) {
if (sf && !idxf) idxf = i;
sf = 1;
}
if (!C[N-1-i]) {
if (sb && !idxb) idxb = i;
sb = 1;
}
}
bool reversed = idxf > idxb;
send_packet(vector<bool>(N, reversed));
if (reversed) reverse(ALL(C));
vi safe;
FOR(i, N) {
if (SZ(safe) < 2) {
send_packet(vector<bool>(N, C[i]));
if (!C[i]) safe.push_back(reversed ? N-1-i : i);
}
else {
vector<bool> m(N);
vi nsafe;
FORR(s, safe) {
m[s] = C[i];
if (!C[i]) nsafe.push_back(reversed ? N-1-i : i);
i++;
if (i == N) break;
}
i--;
FORR(ns, nsafe) safe.push_back(ns);
send_packet(m);
}
//FORR(s, safe) cout << s << " "; cout << endl;
if (SZ(safe) == 16) break;
}
auto send = [&](vector<bool> m) -> void {
m.resize(16);
vector<bool> s(N);
FOR(i, 16) {
s[safe[i]] = m[i];
}
send_packet(s);
};
vector<bool> sz(16);
FOR(i, 16) sz[i] = (SZ(M) & (1 << i));
send(sz);
vector<bool> m;
FOR(i, SZ(M)) {
//cout << SZ(m) << endl;
m.push_back(M[i]);
if (SZ(m) == 16) { send(m); m.clear(); }
}
if (SZ(m)) send(m);
}
std::vector<bool> receive_message(std::vector<std::vector<bool>> R) {
reverse(ALL(R));
bool reversed = accumulate(ALL(R.back()), 0) > 15;
R.pop_back();
//cout << "reversed: " << reversed << endl;
vector<bool> C(N);
vi safe;
FOR(i, N) {
if (SZ(safe) < 2) {
bool c = accumulate(ALL(R.back()), 0) > 15;
if (!c) safe.push_back(reversed ? N-1-i : i);
}
else {
vi nsafe;
FORR(s, safe) {
bool c = R.back()[s];
if (!c) nsafe.push_back(reversed ? N-1-i : i);
i++;
if (i == N) break;
}
i--;
FORR(ns, nsafe) safe.push_back(ns);
}
R.pop_back();
//FORR(s, safe) cout << s << " "; cout << endl;
if (SZ(safe) == 16) break;
}
auto read = [&]() -> vector<bool> {
vector<bool> m = R.back();
R.pop_back();
vector<bool> s(16);
FOR(i, 16) {
s[i] = m[safe[i]];
}
return s;
};
int sz = 0;
vector<bool> szm = read();
FOR(i, 16) sz |= (1 << i) * (szm[i]);
vector<bool> ans;
while (SZ(R)) {
vector<bool> r = read();
FOR(i, 16) ans.push_back(r[i]);
}
ans.resize(sz);
return ans;
}
#ifdef LOCAL
int main() {
int t; cin >> t;
while (t--) {
R.clear();
int n; cin >> n;
vb a(n);
FOR(i, n) { int x; cin >> x; a[i] = x; }
vb c(N);
FOR(i, N) { int x; cin >> x; c[i] = x; }
send_message(a, c);
vb ans = receive_message(R);
FOR(i, SZ(ans)) cout << ans[i] << " "; cout << endl;
}
return 0;
}
#endif
