#include<bits/stdc++.h>
using namespace std;
#include<atcoder/all>
using namespace atcoder;
istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; }
ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); }
#define rep_(i, a_, b_, a, b, ...) for (int i = (a), lim##i = (b); i < lim##i; ++i)
#define rep(i, ...) rep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__)
template<class T> istream &operator>>(istream &is, vector<T> &v) { for (auto &e : v) is >> e; return is; }
template<class T> ostream &operator<<(ostream &os, const vector<T> &v) { for (auto &e : v) os << e << ' '; return os; }
struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
using mint = modint998244353;


int main() {
  int n; cin >> n;
  int N = 1<<n;
  vector<mint> a(N), b(N); cin >> a >> b;
  
  rep(i, n) rep(S, N) if (!(S>>i&1)) b[S|(1<<i)] -= b[S];
  rep(i, n) rep(S, N) if (!(S>>i&1)) a[S] += a[S|(1<<i)];

  rep(S, N) a[S] *= b[S];
  rep(i, n) rep(S, N) if (!(S>>i&1)) a[S|(1<<i)] += a[S];
  cout << a << '\n';
}