#include using namespace std; // #define int long long #define rep(i, n) for (long long i = (long long)(0); i < (long long)(n); ++i) #define reps(i, n) for (long long i = (long long)(1); i <= (long long)(n); ++i) #define rrep(i, n) for (long long i = ((long long)(n)-1); i >= 0; i--) #define rreps(i, n) for (long long i = ((long long)(n)); i > 0; i--) #define irep(i, m, n) for (long long i = (long long)(m); i < (long long)(n); ++i) #define ireps(i, m, n) for (long long i = (long long)(m); i <= (long long)(n); ++i) #define irreps(i, m, n) for (long long i = ((long long)(n)-1); i > (long long)(m); ++i) #define SORT(v, n) sort(v, v + n); #define REVERSE(v, n) reverse(v, v+n); #define vsort(v) sort(v.begin(), v.end()); #define all(v) v.begin(), v.end() #define mp(n, m) make_pair(n, m); #define cinline(n) getline(cin,n); #define replace_all(s, b, a) replace(s.begin(),s.end(), b, a); #define PI (acos(-1)) #define FILL(v, n, x) fill(v, v + n, x); #define sz(x) (long long)(x.size()) using ll = long long; using vi = vector; using vvi = vector; using vll = vector; using vvll = vector; using pii = pair; using pll = pair; using vs = vector; using vpll = vector>; using vtp = vector>; using vb = vector; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template using vc=vector; template using vvc=vc>; const ll INF = 1e9+10; const ll MOD = 1e9+7; const ll LINF = 1e18; // k回その部屋を探索して見つけられる確率 p[i]*(1-q[i])^(k-1)*q[i] (徐々に確率は低下していく) // 各操作回数で、今最も高い確率のものを貪欲に取っていく // 今の操作回数*最高確率の総和が求めたい期待値 // 最終的にどの部屋の確率も0に近くなっていき、期待値はある値に収束していく // 操作回数1 * 最高確率 + 操作回数2 * 最高確率' +... + 操作回数n * 最高確率 <- ゼロに近づいていく signed main() { cin.tie( 0 ); ios::sync_with_stdio( false ); ll n; cin>>n; vc p(n), q(n); rep(i,n){ ll a; cin>>a; p[i]=a/1000.0; } rep(i,n){ ll a; cin>>a; q[i]=a/100.0; } priority_queue> que; rep(i,n){ que.emplace(p[i]*q[i], i); } double ans=0; rep(i,1001001){ double now; int idx; tie(now, idx)=que.top(); que.pop(); ans+=(i+1)*now; que.emplace(now*(1-q[idx]), idx); } printf("%.15lf\n", ans); }