#include <iostream>
#include <vector>
#include <set>
#include <cmath>
#include <algorithm>
#include <string>
#include <utility>
#include <map> 
#include <queue>
#include <stack>
#include <iomanip>
#include <sstream>
#include <cstring>
#define MP make_pair
#define PB push_back
#define SZ size()
#define B begin()
#define E end()
#define ll long long
#define REP(i,a,n) for(ll i=a; i<n; ++i)
#define RED(i,n,a) for(ll i=n; i>=a; --i)
#define m9 1000000007
#define endl "\n"
#define F first
#define S second
#define ld long double
#define eps 0.00000000001
#define MAX 1000000007
#define vll vector <ll> 
#define pll pair <ll,ll> 

using namespace std;

ll gcd(ll a, ll b){
    if(a%b==0){
        return b;
    }
    else{
        return gcd(b, a%b);
    }
}
ll powc(ll a, ll b){
    if(b<0){
        return 0;
    }
    ll md=b;
    ll res=1;
    while(b>0){
        if(b&1){
            res*=a;
        }
        a*=a;
        //res%=MAX, a%=MAX;
        b>>=1;
    }
    return res;
}

///target expert

int main(){
    //freopen("input.txt", "r", stdin); 
    //freopen("output.txt", "w", stdout);
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    double x1, y1, x2, y2;
    cin>>x1>>y1>>x2>>y2;
    cout<<fixed<<setprecision(20)<<(y1*x2+y2*x1)/(y1+y2);
}
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2")
#pragma comment(linker, "/stack:200000000")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

#define int long long
#define pb push_back
#define pf push_front
#define eb emplace_back
#define mp make_pair
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define f first
#define s second
#define sz(x) (int)x.size()
#define endl "\n"
#define forn(i,n) for(int i=0;i<n;++i)
#define fore(i,l,r) for(int i=int(l);i<=int(r);++i)
#define rep(i,begin,end) for(__typeof(end) i=(begin);i!=(end);i++)
#define fill(a,value) memset(a,value,sizeof(a));
#define gcd(a,b) __gcd((a),(b))
#define watch1(x) cout<<(x)<<endl
#define watch2(x,y) cout<<(x)<<" "<<(y)<<endl
#define watch3(x,y,z) cout<<(x)<<" "<<(y)<<" "<<(z)<<endl
#define fastio ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
mt19937 rng32(chrono::steady_clock::now().time_since_epoch().count());

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vpii;
typedef tree<pii, null_type, less<pii>, rb_tree_tag, tree_order_statistics_node_update> oset;

const int INF = 9e18;
const int mod = 998244353;
const int N = 2e5 + 5;

int i, n, a[N], b[N], mx[N], c[N];

void solve() {
    cin >> n;
    mx[0] = 0;
    for (i = 1; i <= n; i++) {
        cin >> a[i];
        mx[i] = max(mx[i - 1], a[i]);
    }
    c[0] = 0;
    for (i = 1; i <= n; i++) {
        cin >> b[i];
        c[i] = max(c[i - 1], b[i] * mx[i]);
        cout << c[i] << endl;
    }
}

signed main() {
#ifndef ONLINE_JUDGE
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
    fastio;
    int t;
    //cin >> t;
    t = 1;
    while (t--) {
        solve();
    }
    return 0;
}
