This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// incorrect/kostka_from_statement_but_handles_parity.cpp
#include "bits/stdc++.h"
#include "message.h"
using namespace std;
using Message = vector<bool>;
using Packet = vector<bool>;
const int BITS = 31;
void send_message(Message M, vector<bool> C) {
  M.insert(M.begin(), M.size() % 2);
  for (int i = 0; i < (int)M.size(); i += 2) {
    Packet p(BITS);
    int mine = 0;
    for (int b = 0; b < BITS; b++) {
      if (!C[b]) {
        p[b] = M[i + (mine / 8)];
        mine++;
      }
    }
    assert(mine == 16);
    send_packet(p);
  }
}
Message receive_message(vector<Packet> R) {
  Message result;
  for (int i = 0; i < (int)R.size(); i++) {
    vector<bool> repeated;
    for (int b = 0; b + 1 < BITS; b++) {
      if (R[i][b] == R[i][b + 1])
        repeated.push_back(R[i][b]);
    }
    result.push_back(repeated.front());
    result.push_back(repeated.back());
  }
  int parity = *result.begin();
  result.erase(result.begin());
  if (!parity)
    result.pop_back();
  return result;
}
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