#include using namespace std; #define rep2(i, m, n) for(int i=int(m); i; using Vld = vector; int main() { int n; cin >> n; Vld p(n), q(n); V a(n); rep(i, n) cin >> p[i]; rep(i, n) cin >> q[i]; rep(i, n) cin >> a[i]; ld y = 0; rep(i, 100) { ld f = 0; rep(i, n) f += p[i] * (1-q[i]) / (1-q[i]*y); y = f; } ld ans = 0; rep(i, n) ans += a[i] * log((1-q[i]) / (1-q[i]*y)); cout << ans << endl; return 0; }