#include using namespace std; #define rep(i,n) for(ll i=0;i=0;i--) #define perl(i,r,l) for(ll i=r-1;i>=l;i--) #define fi first #define se second #define pb push_back #define ins insert #define pqueue(x) priority_queue,greater> #define all(x) (x).begin(),(x).end() #define CST(x) cout<; using vvl=vector>; using pl=pair; using vpl=vector; using vvpl=vector; ll MOD=1000000007; ll MOD9=998244353; int inf=1e9+10; ll INF=1e18; ll dy[8]={1,0,-1,0,1,1,-1,-1}; ll dx[8]={0,1,0,-1,1,-1,1,-1}; template inline bool chmax(T &a, T b) { return ((a < b) ? (a = b, true) : (false)); } template inline bool chmin(T &a, T b) { return ((a > b) ? (a = b, true) : (false)); } using ld=long double; int main(){ ll n;cin >> n; vector a(n),b(n); rep(i,n)cin >> a[i];rep(i,n)cin >> b[i]; rep(i,n)a[i]/=1000;rep(i,n)b[i]/=100; ld ans=0; ld now=1; rep(cnt,2000){ ld t=0; ll id=-1; rep(i,n){ if(chmax(t,a[i]*b[i]))id=i; } ans+=(cnt+1)*now*t; now*=(1.0-t); ld x=a[id]*(1.0-b[id]); ld y=1.0-a[id]; rep(i,n){ if(i==id)a[i]=x/(x+y); else { a[i]/=y; a[i]*=1.0-(x/(x+y)); } } } CST(10); cout << ans <