#include "message.h"
#include<bits/stdc++.h>
#define fi first
#define se second
#define FOR(i, k, n) for(int i = k; i <= n; i++)
#define FOR1(i, k, n) for(int i = k; i >= n; i--)
#define pb push_back
#define fastio ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define vi vector<int>
#define pii pair<int, int>
#define vii vector<pii>
#define ll long long
#define vll vector<ll>
#define pll pair<ll, ll>
#define re return 0
#define mii map<int, int>
#define input "wtf.inp"
#define output "wtf.out"
#define rf freopen(input, "r", stdin); freopen(output, "w", stdout)
using namespace std;
const int maxn = 1e5 + 5;
const int mod = 1e9 + 7;
const int base = 65537;
const int base1 = 31;
const int SZ = 320;
const ll INF = 1e18;
const long double EPS = 1e-9;
void add(int &a, int b)
{
a += b;
if(a >= mod) a -= mod;
if(a < 0) a += mod;
}
mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());
int randint(int l, int r)
{
return uniform_int_distribution<int>(l, r) (rd);
}
double rand(double l, double r)
{
return uniform_real_distribution<double>(l, r) (rd);
}
void send_message(vector<bool> M, vector<bool> C) {
int vtmin;
FOR(i, 0, 30)
if(C[i] == 0)
{
vtmin = i;
break;
}
vector<bool> send;
FOR(i, 0, 30)
send.pb(0);
FOR(i, 0, 3)
{
int op = ((vtmin >> i) & 1);
FOR(j, 0, 30)
send[j] = op;
send_packet(send);
}
vi vt;
FOR(i, 0, 30)
if(C[i] == 0)
vt.pb(i);
int S = M.size();
int dem = 0;
FOR(j, 0, 30)
send[j] = 0;
send[vtmin] = C[vtmin + 1];
FOR(i, 1, 15)
if((S >> (i - 1)) & 1)
send[vt[i]] = 1;
send_packet(send);
dem = 0;
FOR(i, vtmin + 2, 30)
{
FOR(j, 0, 30)
send[j] = 0;
send[vtmin] = C[i];
FOR(j, 1, min(15, (S - dem)))
{
if(M[dem + j - 1] == 1)
send[vt[j]] = 1;
}
dem += 15;
send_packet(send);
}
while(dem < S)
{
FOR(i, 0, 30)
send[i] = 0;
FOR(i, 1, min(16, S - dem))
{
if(M[dem + i - 1] == 1)
send[vt[i - 1]] = 1;
}
send_packet(send);
dem += 16;
}
return;
}
vector<bool> receive_message(vector<vector<bool>> R) {
bool vis[35];
int vtmin = 0;
FOR(i, 0, 3)
{
int dem = 0;
FOR(j, 0, 30)
if(R[i][j] == 1)
dem++;
else
dem--;
if(dem > 0)
vtmin += (1 << i);
}
vi vt;
vt.pb(vtmin);
FOR(i, vtmin + 1, 30)
{
if(R[i - vtmin + 3][vtmin] == 0)
vt.pb(i);
}
int S = 0;
FOR(i, 1, 15)
if(R[4][vt[i]] == 1)
S += (1 << (i - 1));
int dem = 0;
vector<bool> ans;
FOR(i, vtmin + 2, 30)
{
FOR(j, 1, min(S - dem, 15))
{
ans.pb(R[i - vtmin + 3][vt[j]]);
}
dem += 15;
}
int id = 30 - vtmin + 3;
while(dem < S)
{
id++;
FOR(i, 1, min(16, S - dem))
{
ans.pb(R[id][vt[i - 1]]);
}
dem += 16;
}
return ans;
}