#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) __typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } int main() { int n; scanf("%d", &n); vector p(n), q(n); rep(i, n) { // p[i]=1; scanf("%d", &p[i]); } rep(i, n) { // q[i]=1; scanf("%d", &q[i]); } vector prob(n); int sum = accumulate(all(p), 0); rep(i, n) prob[i] = p[i] * 1. / sum; priority_queue > pq; rep(i, n) pq.push(mp(prob[i] * q[i], i)); double ans = 0, remprob = 1, mult = 1; while(remprob > 0.000025) { //sum prob = 1 //prob[i] = iにある確率 pair a = pq.top(); pq.pop(); int i = a.second; double x = prob[i] / mult, y = q[i] / 100.; double sum = 1 - prob[i] / mult; ans += remprob; double z = (1-x) + x * (1-y); //見つからない確率 remprob *= z; double w = 1 - (1-x) / z; //見つからないときにある // cerr << ans << ", " << remprob << ", " << i << ", " << x << ", " << y << ", " << z << ", " << w << endl; double nsum = 1 - w; if(nsum > 0) mult *= sum / nsum; prob[i] = w * mult; pq.push(mp(prob[i] * q[i], i)); } printf("%.10f\n", ans); return 0; }