#include int next[100010]; int find(int k) { if(next[k]==k) return k; else return next[k] = find(next[k]); } int A[100010],B[100010]; double P[100010]; int check[100010]; int main() { int a; scanf("%d",&a); for(int i=1;i<=a;i++) scanf("%d",&A[i]); for(int i=1;i<=a;i++) scanf("%d",&B[i]); for(int i=1;i<=a;i++) { int c; scanf("%d",&c); if(c==0) check[i] = 1; else P[i] = (double)1/(2*c); } double sum = 0; for(int i=1;i<=a;i++) next[i] = i; for(int i=1;i<=a;i++) { if(check[i]==0) { double lambda = (A[i]-B[i])/P[i]; sum += (lambda*lambda*P[i])/2; } } int b; scanf("%d",&b); for(int i=1;i<=b;i++) { int c,d; scanf("%d%d",&c,&d); c = find(c); d = find(d); if(c!=d) { double lambda; if(check[c]==1&&check[d]==1); else if(check[c]==1) { lambda = (A[d]-B[d])/(P[d]); sum -= (lambda * lambda * P[d])/2; next[c] = d; check[d] = 1; } else if(check[d]==1) { lambda = (A[c]-B[c])/(P[c]); sum -= (lambda * lambda * P[c])/2; next[c] = d; } else { lambda = (A[c]-B[c])/(P[c]); sum -= (lambda * lambda * P[c])/2; lambda = (A[d]-B[d])/(P[d]); sum -= (lambda * lambda * P[d])/2; next[c] = d; A[d] += A[c]; B[d] += B[c]; P[d] += P[c]; lambda = (A[d]-B[d])/(P[d]); sum += (lambda * lambda * P[d])/2; } } printf("%.12lf\n",sum); } }