#include "message.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
void send_message(std::vector<bool> M, std::vector<bool> C) {
int N = 31;
M.pb(1);
int f;
for (int i = N-1; 0<=i; i--) if (!C[i]) f=i;
assert(f<16);
for (int i=0; i<4; i++) send_packet(vector<bool>(N, f>>i&1));
vector<vector<bool>> send;
for (int i=0; i<N; i++) {
if (i==f) continue;
vector<bool> vec(N);
vec[f] = C[i];
send.pb(vec);
}
int p = 0, q = 0;
for (int i=0; i < M.size(); i++) {
while (C[q] || (p<N-1 && q==f)) {
q++;
if (q==N) p++, q=0;
}
if (p==send.size()) send.pb(vector<bool>(N));
send[p][q] = M[i];
q++;
if (q==N) p++, q=0;
}
for (auto vec : send) send_packet(vec);
}
std::vector<bool> receive_message(std::vector<std::vector<bool>> R) {
int N = 31;
auto MAJ = [&](vector<bool> vec) {
int cnt[2] {};
for (auto it : vec) cnt[it]++;
if (cnt[0]<cnt[1]) return 1;
else return 0;
};
int f=0;
for (int i=0; i<4; i++) f += MAJ(R[i]) << i;
R.erase(R.begin(), R.begin() + 4);
vector<bool> C(N);
for (int i=0, j=0; i<N; i++) {
if (i==f) continue;
C[i] = R[j++][f];
};
vector<bool> M;
for (int i=0; i<R.size(); i++) {
for (int j=0; j<N; j++) {
if (C[j] || (i<N-1 && j==f)) continue;
M.pb(R[i][j]);
}
}
while (!M.back()) M.pop_back();
M.pop_back();
return M;
}
