#include "message.h"
#include <bits/stdc++.h>
using namespace std;
#define N 100001
#define nl '\n'
#define ff first
#define ss second
#define ll long long
#define ld long double
#define terminator main
#define pll pair<ll,ll>
#define append push_back
#define pii pair<int,int>
#define all(x) (x).begin(),(x).end()
#define L0TA ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
vector<int> v {186461322, 1961022325, 1688014719, 459468928, 1784766788, 362716859, 542923229, 1604560418, 1870898801, 276584846, 2143346255, 4137392, 1767359506, 380124141, 1816653205, 330830442, 610554887, 1536928760, 300871699, 1846611948, 666585931, 1480897716, 901685245, 1245798402, 802168644, 1345315003, 293532275, 1853951372, 797907561, 1349576086, 283583852, 1863899795, 1778288767, 369194880, 1031748925, 1115734722, 1978495661, 168987986, 585708333, 1561775314, 359924403, 1787559244, 835687811, 1311795836, 1330748458, 816735189, 698380750, 1449102897, 1359327003, 788156644};
int p[31];
void send_message(vector<bool> M, vector<bool> c) {
vector<bool> a(31, 0);
p[0] = 1;
for(int i = 1; i < 31; i++)
p[i] = p[i - 1] * 2;
for(auto & i : v){
for(int j = 0; j < 31; j++){
if(c[j]) continue;
a[j] = ((i & p[j]) == p[j]);
}
send_packet(a);
}
int s = M.size(), t = 0;
for(int i = 0; i < 31; i++){
if(c[i]) continue;
a[i] = ((s & p[t]) == p[t]);
t++;
}
send_packet(a);
t = 0;
while(t < s){
for(int i = 0; i < 31; i++){
if(c[i] || t == s) continue;
a[i] = M[t];
t++;
}
send_packet(a);
}
}
vector<bool> receive_message(vector<vector<bool>> R) {
vector<bool> M, c(31, 0);
for(int i = 0; i < v.size(); i++)
for(int j = 0; j < 31; j++)
if(bool((v[i] & p[j]) == p[j]) != R[i][j])
c[j] = 1;
int s = 0, t = 0;
for(int i = 0; i < 31; i++){
if(c[i]) continue;
if(R[v.size()][i]) s += p[t];
t++;
}
t = 0;
for(int i = v.size() + 1; i < R.size(); i++){
for(int j = 0; j < 31; j++){
if(c[j] || t == s) continue;
M.append(R[i][j]);
t++;
}
}
return M;
}
