#include <bits/stdc++.h>
#define int long long
using namespace std;
const int N = 2e5 + 101;
int a[N], b[N], n; 

signed main()
{
	scanf("%lld",&n);
	for(int i = 1;i <= n; i++) scanf("%lld",&a[i]);
	for(int i = 1;i <= n; i++) scanf("%lld",&b[i]);
	int now1 = a[1],now2 = b[1], nowmax = now1 * now2;
	printf("%lld\n",nowmax);
	for(int i = 2;i <= n; i++)
	{
		now1 = max(now1,a[i]);
		nowmax = max(nowmax,b[i] * now1);
		printf("%lld\n",nowmax);
	}
}
//Let's join Kaede Takagaki Fan Club !!
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
//#define int long long
typedef long long ll;
typedef pair<int,int> P;
typedef pair<int,P> P1;
typedef pair<P,P> P2;
#define pu push
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define eps 1e-7
#define INF 1000000000
#define a first
#define b second
#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,x) for(int i=0;i<x;i++)
#define repn(i,x) for(int i=1;i<=x;i++)
#define SORT(x) sort(x.begin(),x.end())
#define ERASE(x) x.erase(unique(x.begin(),x.end()),x.end())
#define POSL(x,v) (lower_bound(x.begin(),x.end(),v)-x.begin())
#define POSU(x,v) (upper_bound(x.begin(),x.end(),v)-x.begin())
#define all(x) x.begin(),x.end()
#define si(x) int(x.size())

#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif

template<class t,class u> bool chmax(t&a,u b){if(a<b){a=b;return true;}else return false;}
template<class t,class u> bool chmin(t&a,u b){if(b<a){a=b;return true;}else return false;}

template<class t> using vc=vector<t>;

template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
	return os<<"{"<<p.fi<<","<<p.sc<<"}";
}

template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
	os<<"{";
	for(auto e:v)os<<e<<",";
	return os<<"}";
}

template<class T>
void g(T &a){
	cin >> a;
}
template<class T>
void o(const T &a,bool space=false){
	cout << a << (space?' ':'\n');
}
//ios::sync_with_stdio(false);
const ll mod = 1000000007;//998244353
//mt19937_64 mt(chrono::steady_clock::now().time_since_epoch().count());
template<class T>
void add(T&a,T b){
	a+=b;
	if(a >= mod) a-=mod;
}
ll modpow(ll x,ll n){
	ll res=1;
	while(n>0){
		if(n&1) res=res*x%mod;
		x=x*x%mod;
		n>>=1;
	}
	return res;
}
int n;
ll a[200005], b[200005];
void solve(){
	cin >> n;
	repn(i, n) cin >> a[i];
	ll mx = 0;
	repn(i, n){
		cin >> b[i];
		chmax(mx, a[i]);
		b[i] *= mx;
	}
	repn(i, n){
		chmax(b[i], b[i-1]);
		cout << b[i] << '\n';
	}
}
signed main(){
	cin.tie(0);
	ios::sync_with_stdio(0);
	cout<<fixed<<setprecision(20);
	int t; t = 1; // cin >> t;
	while(t--) solve();
}
