#include <bits/stdc++.h>
using namespace std;
const long long MOD = 998244353;
int main(){
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int N;
  cin >> N;
  vector<long long> A(1 << N);
  for (int i = 0; i < (1 << N); i++){
    cin >> A[i];
  }
  vector<long long> B(1 << N);
  for (int i = 0; i < (1 << N); i++){
    cin >> B[i];
  }
  vector<long long> A2 = A;
  for (int i = 0; i < N; i++){
    for (int j = 0; j < (1 << N); j++){
      if ((j >> i & 1) == 0){
        A2[j] += A2[j + (1 << i)];
        A2[j] %= MOD;
      }
    }
  }
  vector<long long> C(1 << N, 0);
  for (int i = 0; i < (1 << N); i++){
    if (__builtin_popcount(i) <= 1){
      for (int j = 0; j < (1 << N); j++){
        C[i] += A[j] * B[j & i] % MOD;
        C[i] %= MOD;
      }
    } else {
      int a = i & -i;
      int b = i - a;
      C[i] = C[a] + C[b] - C[0] + MOD + A2[i] * (B[i] - B[a] - B[b] + B[0] + MOD * 2);
      C[i] %= MOD;
    }
    cout << C[i] << ' ';
  }
  cout << endl;
}