#include // c #include // io #include #include #include #include // container #include #include #include #include #include #include // other #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned long long ull; #define ALL(c) (begin(c)),(end(c)) #define REP(i,n) FOR(i,0,n) #define REPr(i,n) FORr(i,0,n) #define FOR(i,l,r) for(int i=(int)(l);i<(int)(r);++i) #define FORr(i,l,r) for(int i=(int)(r)-1;i>=(int)(l);--i) #define EACH(it,o) for(auto it = (o).begin(); it != (o).end(); ++it) #define IN(l,v,r) ((l)<=(v) && (v)<(r)) #define UNIQUE(v) v.erase(unique(ALL(v)),v.end()) //debug #define DUMP(x) cerr << #x << " = " << (x) #define LINE() cerr<< " (L" << __LINE__ << ")" class range { private: struct Iter{ int v; int operator*(){return v;} bool operator!=(Iter& itr) {return v < itr.v;} void operator++() {++v;} }; Iter i, n; public: range(int n) : i({0}), n({n}) {} range(int i, int n) : i({i}), n({n}) {} Iter& begin() {return i;} Iter& end() {return n;} }; struct rrange{ struct Iter{ int v,step; Iter& operator++(){v-=step;return *this;} bool operator!=(Iter& itr){return v>itr.v;} int& operator*(){return v;} }; Iter i, n; rrange(int i, int n,int step):i({i-1,step}), n({n-1,step}){} rrange(int i, int n):rrange(i,n,1){} rrange(int n) :rrange(0,n){} Iter& begin(){return n;} Iter& end(){return i;} }; //input template istream& operator >> (istream& is,pair& p){is>>p.first>>p.second;return is;} template istream& operator >> (istream& is,tuple& t){is >> get<0>(t);return is;} template istream& operator >> (istream& is,tuple& t){is >> get<0>(t) >> get<1>(t);return is;} template istream& operator >> (istream& is,tuple& t){is >>get<0>(t)>>get<1>(t)>>get<2>(t);return is;} template istream& operator >> (istream& is,tuple& t){is >> get<0>(t)>>get<1>(t)>>get<2>(t)>>get<3>(t);return is;} template istream& operator >> (istream& is, const tuple& t){is >> get<0>(t) >> get<1>(t) >> get<2>(t) >> get<3>(t) >> get<4>(t);return is;} template istream& operator >> (istream& is, const tuple& t){is >> get<0>(t) >> get<1>(t) >> get<2>(t) >> get<3>(t) >> get<4>(t) >> get<5>(t);return is;} template istream& operator >> (istream& is, const tuple& t){is >> get<0>(t) >> get<1>(t) >> get<2>(t) >> get<3>(t) >> get<4>(t) >> get<5>(t) >> get<6>(t);return is;} template istream& operator >> (istream& is,vector& as){REP(i,as.size())is >>as[i];return is;} //output template ostream& operator << (ostream& os, const set& ss){for(auto a:ss){if(a!=ss.begin())os<<" "; os< ostream& operator << (ostream& os, const pair& p){os< ostream& operator << (ostream& os, const map& m){bool isF=true;for(auto& p:m){if(!isF)os< ostream& operator << (ostream& os, const tuple& t){os << get<0>(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const tuple& t){os << get<0>(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t)<<" "<(t);return os;} template ostream& operator << (ostream& os, const vector& as){REP(i,as.size()){if(i!=0)os<<" "; os< ostream& operator << (ostream& os, const vector>& as){REP(i,as.size()){if(i!=0)os< T INF(){assert(false);}; template<> int INF(){return 1<<28;}; template<> ll INF(){return 1LL<<58;}; template<> double INF(){return 1e16;}; template<> long double INF(){return 1e16;}; template T EPS(){assert(false);}; template<> int EPS(){return 1;}; template<> ll EPS(){return 1LL;}; template<> double EPS(){return 1e-8;}; template<> long double EPS(){return 1e-8;}; template T pmod(T v,U M){return (v%M+M)%M;} class Main{ public: void run(){ // 100000 * int N;cin >> N; vector ps(N),qs(N); cin >> ps >> qs; for(int i:range(N))ps[i]/=1000; for(int i:range(N))qs[i]/=100; long double res = 0; priority_queue> que; for(int i:range(N))que.push(make_tuple(ps[i]*qs[i],i,1)); int t = 1; while(!que.empty()){ long double p;int i;int k;tie(p,i,k)=que.top();que.pop(); if(p<1e-8 && t*p<1e-8)break; res += t * p; que.push(make_tuple(ps[i]*qs[i]*pow(1-qs[i],k),i,k+1)); t++; } cout << res <