#include<bits/stdc++.h>
using namespace std;
#define int long long

signed main(){
  int n; cin >> n;
  vector<int> a(n), b(n);
  for(int i = 0; i < n; i++) cin >> a[i];
  for(int i = 0; i < n; i++) cin >> b[i];
  vector<int> c(n); int ma = 0;
  for(int i = 0; i < n; i++){
    c[i] = max(ma, a[i]); ma = max(ma, a[i]);
  }
  int max_ = a[0] * b[0];
  for(int i = 0; i < n; i++){
    cout << (long long)(max(max_, b[i] * c[i])) << endl;
    max_ = max(max_, b[i] * c[i]);
  }
}
#define LOCAL

#include <bits/stdc++.h>

#define fi first
#define se second
#define ins insert
#define pb push_back
#define eb emplace_back
#define sz(x) ((int)x.size())
#define all(x) x.begin(), x.end()

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;  //

template <typename A, typename B>
string to_string(pair<A, B> p);

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);

string to_string(const string& s) { return '"' + s + '"'; }

string to_string(const char* s) { return to_string((string)s); }

string to_string(bool b) { return (b ? "true" : "false"); }

string to_string(vector<bool> v) {
	bool first = true;
	string res = "{";
	for (int i = 0; i < static_cast<int>(v.size()); i++) {
		if (!first) {
			res += ", ";
		}
		first = false;
		res += to_string(v[i]);
	}
	res += "}";
	return res;
}

template <size_t N>
string to_string(bitset<N> v) {
	string res = "";
	for (size_t i = 0; i < N; i++) {
		res += static_cast<char>('0' + v[i]);
	}
	return res;
}

template <typename A>
string to_string(A v) {
	bool first = true;
	string res = "{";
	for (const auto& x : v) {
		if (!first) {
			res += ", ";
		}
		first = false;
		res += to_string(x);
	}
	res += "}";
	return res;
}

template <typename A, typename B>
string to_string(pair<A, B> p) {
	return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
	return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
	return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
	cerr << " " << to_string(H);
	debug_out(T...);
}

#ifdef LOCAL
#define DB(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define DB(...) 42
#endif

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	int n;
	cin >> n;
	vector<ll> yi(n), er(n);
	for (auto& i : yi) cin >> i;
	for (auto& i : er) cin >> i;
	vector<ll> c(n);
	ll mx = 0;
	for (int i = 0; i < n; ++i) {
		if (i == 0) {
			c[0] = yi[0] * er[0];
			mx = max(mx, yi[0]);
		}
		else {
			c[i] = max(max(yi[i] * er[i], er[i] * mx), c[i - 1]);
			mx = max(mx, yi[i]);
		}
	}
	for (auto& i : c) {
		cout << i << '\n';
	}
	cout << endl;
	string sss;
	while (cin >> sss);
	return 0;
}
