#include <iostream>
using namespace std;

#include <algorithm>
#include <iomanip>
#include <map>
#include <queue>
#include <set>
#include <string>
#include <vector>
#include <math.h>

int main() {

    long long int n;
    cin >> n;

    vector< long long int > a;

    for ( long long int i = 0; i < n; i++ ) {
        long long int in;
        cin >> in;
        a.push_back( in );
    }

    long long int ma = 0;
    long long int cnt = 0;

    for ( long long int i = 0; i < n; i++ ) {
        long long int in;
        cin >> in;

        ma = max( ma, a[i] );
        cnt = max( cnt, ma * in );
        cout << cnt << endl;

    }

    return 0;

}

#include<iostream>
#include<array>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<complex>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<tuple>
#include<cassert>
using namespace std;
typedef long long ll;
typedef unsigned int ui;
const ll mod = 1000000007;
const ll INF = (ll)1000000007 * 1000000007;
typedef pair<int, int> P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define Per(i,sta,n) for(int i=n-1;i>=sta;i--)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
typedef long double ld;
const ld eps = 1e-8;
const ld pi = acos(-1.0);
typedef pair<ll, ll> LP;
int dx[4]={1,-1,0,0};
int dy[4]={0,0,1,-1};
template<class T>bool chmax(T &a, const T &b) {if(a<b){a=b;return 1;}return 0;}
template<class T>bool chmin(T &a, const T &b) {if(b<a){a=b;return 1;}return 0;}

int n;
ll a[200010],b[200010];

void solve(){
    cin >> n;
    rep(i,n) cin >> a[i];
    rep(i,n) cin >> b[i];
    ll a_MAX=0,c_MAX=0;
    rep(i,n){
        chmax(a_MAX,a[i]);
        chmax(c_MAX,a_MAX*b[i]);
        cout << c_MAX << endl;
    }
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(50);
    solve();
}