#include <bits/stdc++.h>
using namespace std;
#define rep2(i, m, n) for(int i=int(m); i<int(n); ++i)
#define rep(i, n) rep2(i, 0, n)
using ll = long long;
using ld = double;
using V = vector<int>;
using Vld = vector<ld>;
template<typename T> istream &operator>>(istream &is, vector<T> &v) { for (auto &e : v) is >> e; return is; }


ld log_prob(ld a, ld z) {
  return log(1-a) - log(1-a*z);
}

int main() {
  ll n; cin >> n;
  Vld p(n), q(n); cin >> p >> q;
  V x(n); cin >> x;

  auto fun = [&] (ld y) {
    ld f = 0;
    rep(i, n) f += p[i] * exp(log_prob(q[i], y));
    return (f <= y);
  };

  ld ok = 1;
  ld ng = 0;
  rep(i, 30) {
    ld md = (ok + ng) / 2;
    if (fun(md)) ok = md;
    else ng = md;
  }

  ld ans = 0;
  rep(i, n) ans += x[i] * log_prob(q[i], ok);
  cout << ans << endl;
  return 0;
}