#include <bits/stdc++.h>
using namespace std;
vector<bool> send_packet(vector<bool> A);
void send_message(vector<bool> M, vector<bool> C) {
vector<int> ps; for (int i=0; i<31; i++) if (!C[i]) ps.push_back(i);
ps.push_back(ps[0]);
vector<int> A(31,0);
for (int i=0; i+1<ps.size(); i++) {
A[ps[i]] = ps[i+1] - ps[i] - 1;
}
for (int i=0; i<31; i++){A[i]%=31; A[i] += 31; A[i]%=31;}
vector<vector<bool>> pgs(66, vector<bool> (31, false));
int nf = 0, ns = 0; int idx = 0; bool spam = !M.back();
while (C[ns]) ns++;
while (ns < 31){
if (nf < A[ns]){
pgs[nf][ns] = 0;
} else if (nf == A[ns]){
pgs[nf][ns] = 1;
} else if (idx < M.size()){
pgs[nf][ns] = M[idx++];
} else {
pgs[nf][ns] = spam;
}
nf++;
if (nf == 66) nf = 0, ns++;
while (ns< 31 && C[ns]) ns++;
}
for (auto v: pgs) send_packet(v);
}
vector<bool> receive_message(vector<vector<bool>> R) {
vector<int> to(31,0); iota(to.begin(), to.end(), 1);
for (int i=0; i<31; i++){
for (int j=0; j<31; j++){
if (R[j][i]) {to[i] += j; break; }
}
}
vector<int> good(31, 0);
for (int i=0; i<31; i++) to[i] %= 31;
for (int c=0; c<31; c++) {
vector<int> vis(31, 0);
vector<int> ds(31, 0);
vis[c] = 1;
for (int t_=0; t_<33; t_++) {
for (int i=0; i<31; i++) {
if (vis[i] && !vis[to[i]]) {
vis[to[i]] = 1; ds[to[i]] = ds[i] + 1;
}
}
}
int g =0 ;
for (int i=0; i<31; i++) if (to[i] == c && ds[i] == 15) g=1;
good[c] = g;
}
for (int i=0; i<31; i++) if (to[i]< i) to[i] += 31;
vector<bool> M;
int nf = 0, ns = 0;
while (!good[ns]) ns++;
while (ns < 31){
if (nf > to[ns] - ns - 1) M.push_back(R[nf][ns]);
nf++;
if (nf == 66) nf = 0, ns++;
while (ns<31 && !good[ns]) ns++;
}
bool spam = M.back();
while (spam == M.back()) M.pop_back();
return M;
}
