#include <bits/stdc++.h>
using namespace std ;
vector<bool> send_packet(vector<bool> A);
vector<vector<bool>> encode(int num, const int &d) {
vector<vector<bool>> res ;
for(int i = d - 1; i > -1; i --) {
res.emplace_back(vector<bool>(31, (bool)(num >> i & 1))) ;
}
return res ;
}
void send_message(vector<bool> M, vector<bool> C) {
vector<int> idx ;
for(int i = 0; i < 31; i ++) {
if(!C[i]) idx.emplace_back(i) ;
}
vector<vector<bool>> buck = encode(idx[0], 5) ;
for(vector<bool> &cur : buck) send_packet(cur) ;
int s = (int)M.size() - 1 ;
reverse(M.begin(), M.end()) ;
for(int i = 0; i < 10; i ++) {
M.emplace_back((bool)(s >> i & 1)) ;
}
reverse(M.begin(), M.end()) ;
int cnt = 0 ;
for(int i = 0; i < M.size() || cnt < 29;) {
vector<bool> pack(31, false) ;
int x = min((int)M.size() - i + (cnt < 29), 16) ;
for(int j = cnt < 29; j < x; j ++) {
pack[idx[j]] = M[i] ; ++ i ;
}
if(cnt < 29) pack[idx[0]] = C[cnt + (cnt >= idx[0])] ;
// for(bool cur : pack) cerr << i << ' ' << cur << endl ;
// cerr << endl ;
send_packet(pack) ; ++ cnt ;
}
}
vector<bool> receive_message(vector<vector<bool>> R) {
int pos = 0 ;
for(int i = 0; i < 5; i ++) {
vector<int> cnt(2, 0) ;
for(int j = 0; j < 31; j ++) {
++ cnt[(int)R[i][j]] ;
}
pos = pos << 1 | ((int)(cnt[1] > cnt[0])) ;
}
cerr << "Found " << pos << endl ;
vector<int> idx ; idx.emplace_back(pos) ;
int cnt = 0, cur = 0 ;
for(int i = 0; i < 29; i ++, cur ++) {
if(cur == pos) ++ cur ;
if(!R[i + 5][pos]) -- cnt, idx.emplace_back(cur) ;
else ++ cnt ;
cerr << cur << ' ' << R[i + 5][pos] << endl ;
}
if(cnt > 0) idx.emplace_back(cur += (cur == pos)) ;
// for(int x : idx) cerr << x << ' ' ;
// cerr << endl ;
cerr << "Finished decoding C" << endl ;
int numSz = 0 ;
for(int i = 1; i < 11; i ++) {
numSz = numSz << 1 | ((int)R[5][idx[i]]) ;
}
++ numSz ;
cerr << "Size equals " << numSz << endl ;
vector<bool> res ;
int iter = 10, num = 5 ; cnt = 0 ;
for(; numSz > 0; numSz --) {
if(++ iter == 16) iter = (++ cnt < 29), ++ num ;
res.emplace_back(R[num][idx[iter]]) ;
}
return res ;
}
