#include <iostream>
#include <vector>

int main() {
  using ll = long long;

  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);

  int N;
  std::cin >> N;
  const int m = 1 << N;
  std::vector<ll> A(m), B(m), C(m, 0);
  for (ll &e : A) {
    std::cin >> e;
  }
  for (ll &e : B) {
    std::cin >> e;
  }

  for (int k = 0; k != m; ++k) {
    for (int i = 0; i != m; ++i) {
      C[k] = (C[k] + A[i] * B[i & k]) % 998244353;
    }
  }

  for (int i = 0; i != m; ++i) {
    std::cout << C[i] << " \n"[i + 1 == m];
  }

  return 0;
}