#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define fi first #define se second #define rep(i,n) for(int i = 0; i < n; ++i) #define rrep(i,n) for(int i = 1; i <= n; ++i) #define drep(i,n) for(int i = n-1; i >= 0; --i) #define gep(i,g,j) for(int i = g.head[j]; i != -1; i = g.e[i].next) #define each(it,c) for(__typeof((c).begin()) it=(c).begin();it!=(c).end();it++) #define rng(a) a.begin(),a.end() #define maxs(x,y) x = max(x,y) #define mins(x,y) x = min(x,y) #define pb push_back #define sz(x) (int)(x).size() #define pcnt __builtin_popcount #define snuke srand((unsigned)clock()+(unsigned)time(NULL)); using namespace std; typedef long long int ll; typedef pair P; typedef vector vi; typedef vector vvi; inline int in() { int x; scanf("%d",&x); return x;} inline void priv(vi a) { rep(i,sz(a)) printf("%d%c",a[i],i==sz(a)-1?'\n':' ');} const int MX = 1000005, INF = 1000010000; const ll LINF = 1000000000000000000ll; const double eps = 1e-10; int n; double p[1005], p2[1005]; int main(){ scanf("%d",&n); rep(i,n) { int a; scanf("%d",&a); p[i] = 0.001*a; } rep(i,n) { int a; scanf("%d",&a); p2[i] = 0.01*a; } priority_queue

q; rep(i,n) q.push(P(p[i]*p2[i],i)); double ans = 0, s = 1; double t = 1; rrep(ti,MX) { P np = q.top(); q.pop(); double x = np.fi/t; int i = np.se; ans += s*x*ti; s *= 1-x; t -= p[i]; p[i] *= 1-p2[i]; t += p[i]; q.push(P(p[i]*p2[i],i)); if (t < eps) break; } printf("%.5f\n",ans); return 0; }