#include using namespace std; using LL = long long; using ULL = unsigned long long; #define rep(i,n) for(int i=0; i<(n); i++) struct dsu{ vector V; dsu(int n){ V.assign(n,-1); } int root(int a){ return (V[a]<0)?a:(V[a]=root(V[a])); } int unite(int a,int b){ a=root(a); b=root(b); return (a==b)?-1:(V[b]=a); } }; int N; LL A[100000]; double P[100000]; int Q; double ans=0.0; int main() { scanf("%d",&N); dsu G(N); rep(i,N){ int a; scanf("%d",&a); A[i]=a; } rep(i,N){ int b; scanf("%d",&b); A[i]-=b; } rep(i,N){ int p; scanf("%d",&p); P[i]=1.0/p; } rep(i,N) ans += A[i]*A[i]/P[i]; scanf("%d",&Q); rep(q,Q){ int u,v; scanf("%d%d",&u,&v); u--; v--; u=G.root(u); v=G.root(v); if(u!=v){ int g=G.unite(u,v); ans -= A[u]*A[u]/P[u]; ans -= A[v]*A[v]/P[v]; A[g]+=A[u+v-g]; P[g]+=P[u+v-g]; ans += A[g]*A[g]/P[g]; } printf("%.10f\n",ans); } return 0; }