#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> B2 = B;
  for (int i = 0; i < (1 << N); i++){
    if (__builtin_parity(i) == 1){
      B2[i] = MOD - B[i];
    }
  }
  for (int i = 0; i < N; i++){
    for (int j = 0; j < (1 << N); j++){
      if ((j >> i & 1) == 1){
        B2[j] += B2[j - (1 << i)];
        B2[j] %= MOD;
      }
    }
  }
  vector<long long> C2(1 << N, 0);
  for (int i = 0; i < (1 << N); i++){
    if (__builtin_popcount(i) <= 1){
      for (int j = 0; j < (1 << N); j++){
        C2[i] += A[j] * B[j & i] % MOD;
        C2[i] %= MOD;
      }
      if (i > 0){
        C2[i] += MOD - C2[0];
        C2[i] %= MOD;
      }
    } else {
      C2[i] = A2[i] * B2[i] % MOD;
    }
  }
  vector<long long> C = C2;
  for (int i = 0; i < N; i++){
    for (int j = 0; j < (1 << N); j++){
      if ((j >> i & 1) == 1){
        C[j] += C[j - (1 << i)];
        C[j] %= MOD;
      }
    }
  }
  for (int i = 0; i < (1 << N); i++){
    cout << C[i] << ' ';
  }
  cout << endl;
}