#include "message.h"
#include <bits/stdc++.h>
using namespace std;
#define vi vector<int>
#define pb push_back
#define pii pair<int,int>
#define ff first
#define ss second
#define all(x) x.begin(),x.end()
#define ll long long int
const int N = 1e5+100;
void send_message(std::vector<bool> e, std::vector<bool> C) {
vi P, d(16);
reverse(all(e));
int nw = 1025 - (int) e.size();
for(int j = 0; j < nw; ++j) e.pb(1);
reverse(all(e));
e[nw - 1] = 0;
// for(int x: e) cerr << x << ' ';
// exit(0);
for(int i = 0; i < 31; ++i) if(C[i] == 0) P.pb(i);
for(int i = 0; i < 16; ++i) d[i] = (i == 15 ? P[0] + 31 - P[i]: P[i + 1] - P[i]) - 1;
int num = (31 + e.size()) / 16;
vector<vector<bool>> m(num, vector<bool>(31));
vector<pii> av;
for(int j = 0; j < 16; ++j){
for(int i = 0; i < d[j]; ++i){
m[i][P[j]] = 1;
}
m[d[j]][P[j]] = 0;
for(int i = d[j] + 1; i < num ;++i) av.pb({i, P[j]});
}
sort(all(av));
// for(int x: e) cerr << x << ' ';
// cerr << '\n';
assert(av.size() == e.size());
for(int i = 0; i < av.size(); ++i){
int x = av[i].ff;
int y = av[i].ss;
m[x][y] = e[i];
}
for(auto v: m) send_packet(v);
}
std::vector<bool> receive_message(std::vector<std::vector<bool>> R) {
vi go(31), d(31);
for(int j = 0; j < 31; ++j){
go[j] = j + 1;
for(int i = 0; i < R.size(); ++i){
if(R[i][j] == 0) break;
++go[j];
}
d[j] = go[j] - j;
go[j] %= 31;
}
vi T;
vector<bool> nice(31);
for(int i = 0; i < 31; ++i){
int v = i;
int cnt = 0;
vector<bool> vis(31);
T.clear();
while(!vis[v]){
T.pb(v);
vis[v] = 1;
v = go[v];
cnt++;
}
if(cnt == 16){
for(int x: T) nice[x] = 1;
break;
}
}
vector<pii> av;
for(int j = 0; j < 31; ++j){
if(nice[j] == 0) continue;
for(int i = d[j] + 1; i < R.size(); ++i) av.pb({i, j});
}
sort(all(av));
vector<bool> res;
for(int i = 0; i < av.size(); ++i) res.pb(R[av[i].ff][av[i].ss]);
reverse(all(res));
while(res.back() == 1) res.pop_back();
res.pop_back();
reverse(all(res));
return res;
}
