#include<bits/stdc++.h>
#define S(a)scanf("%d",&a);
#define R for(int i=0;i<(N);i++)
#define f(i)A[i]*A[i]/P[i]
int N,A[1<<17],V[1<<17],u,v;double P[1<<17],E=0;int Z(int a){return V[a]+1?V[a]=Z(V[a]):a;}int main(){S(N)R S(A[i])R{S(u)A[i]-=u;V[i]=-1;}R{S(u)P[i]=1./u;E+=f(i);}S(N)R{S(u)S(v)u=Z(u-1);v=Z(v-1);if(u^v){V[v]=u;E-=f(u)+f(v);A[u]+=A[v];P[u]+=P[v];E+=f(u);}printf("%f\n",E);}return 0;}