#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <numeric>
#include <utility>
#include <tuple>

#define rep(i, a, b) for (int i = int(a); i < int(b); i++)
using namespace std;
using ll = long long int;
using P = pair<ll, ll>;

// clang-format off
#ifdef _DEBUG_
#define dump(...) do{ cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; PPPPP(__VA_ARGS__); cerr << endl; } while(false)
template<typename T> void PPPPP(T t) { cerr << t; }
template<typename T, typename... S> void PPPPP(T t, S... s) { cerr << t << ", "; PPPPP(s...); }
#else
#define dump(...) do{ } while(false)
#endif
template<typename T> vector<T> make_v(size_t a, T b) { return vector<T>(a, b); }
template<typename... Ts> auto make_v(size_t a, Ts... ts) { return vector<decltype(make_v(ts...))>(a, make_v(ts...)); }
template<typename T> bool chmin(T &a, T b) { if (a > b) {a = b; return true; } return false; }
template<typename T> bool chmax(T &a, T b) { if (a < b) {a = b; return true; } return false; }
template<typename T> void print(T a) { cout << a << '\n'; }
template<typename T, typename... Ts> void print(T a, Ts... ts) { cout << a << ' '; print(ts...); }
template<typename T> istream &operator,(istream &in, T &t) { return in >> t; }
// clang-format on

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int n;
    cin, n;
    vector<ll> a(n), b(n);
    rep(i, 0, n) {
        cin, a[i];
    }
    rep(i, 0, n) {
        cin, b[i];
    }
    ll max1 = 0, max2 = 0;
    rep(i, 0, n) {
        chmax(max1, a[i]);
        chmax(max2, max1 * b[i]);
        print(max2);
    }
    return 0;
}

#include <bits/stdc++.h>
using namespace std;
using ll=long long;
using ld=long double;
ll I=167167167167167167;
ll Q=1e9+7;

int main() {
	ll N;
	cin>>N;
	vector<ll> a(N),b(N);
	for(int i=0;i<N;i++) cin>>a[i];
	for(int i=0;i<N;i++) cin>>b[i];
	ll A=0,B=0;
	for(int i=0;i<N;i++){
		A=max(A,a[i]);
		b[i]*=A;
		B=max(B,b[i]);
		cout<<B<<endl;
	}
}
