#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define each(e, v) for(auto &e: v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; const int MOD = 1000000007; //const int MOD = 998244353; const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; template bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;}; template bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;}; struct io_setup{ io_setup(){ ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; struct Union_Find_Tree{ vector data; const int n; Union_Find_Tree(int n) : n(n){ data.assign(n, -1); } int root(int x){ if(data[x] < 0) return x; return data[x] = root(data[x]); } int operator [] (int i) {return root(i);} bool unite(int x, int y){ x = root(x), y = root(y); if(x == y) return false; if(data[x] > data[y]) swap(x, y); data[x] += data[y], data[y] = x; return true; } int size(int x) {return -data[root(x)];} bool same(int x, int y) {return root(x) == root(y);} void clear() {fill(all(data), -1);} }; int main(){ int N; cin >> N; vector A(N), B(N), P(N); rep(i, N) cin >> A[i]; rep(i, N) cin >> B[i]; rep(i, N) cin >> P[i]; Union_Find_Tree uf(N); vector C(N), D(N), E(N), F(N); rep(i, N){ C[i] = A[i]-B[i]; D[i] = B[i]; if(P[i] > 0) E[i] = 1.0/P[i]; else E[i] = -1e9; F[i] = P[i]*(A[i]-B[i])*(A[i]-B[i]); } double ans = 0; rep(i, N) ans += F[i]; int Q; cin >> Q; while(Q--){ int u, v; cin >> u >> v; u--, v--; if(uf.same(u, v)){ cout << ans << '\n'; continue; } u = uf.root(u), v = uf.root(v); uf.unite(u, v); int w = uf.root(u); ans -= F[u]+F[v]; C[w] = C[u]+C[v], D[w] = D[u]+D[v], E[w] = E[u]+E[v]; if(E[w] < -1) F[w] = 0; else{ double K = C[w]/E[w]; F[w] = K*K*E[w]; } ans += F[w]; cout << ans << '\n'; } }