//@formatter:off #include #define overload4(_1,_2,_3,_4,name,...) name #define rep1(i,n) for (ll i = 0; i < ll(n); ++i) #define rep2(i,s,n) for (ll i = ll(s); i < ll(n); ++i) #define rep3(i,s,n,d) for(ll i = ll(s); i < ll(n); i+=d) #define rep(...) overload4(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__) #define rrep(i,n) for (ll i = ll(n)-1; i >= 0; i--) #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define pb push_back #define eb emplace_back #ifdef __LOCAL #define debug(...) { cout << #__VA_ARGS__; cout << ": "; print(__VA_ARGS__); cout << flush; } #else #define debug(...) void(0) #endif #define INT(...) int __VA_ARGS__;scan(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__) #define STR(...) string __VA_ARGS__;scan(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__) using namespace std; using ll = long long; using ld = long double; using P = pair; using LP = pair; using vi = vector; using vvi = vector>; using vl = vector; using vvl = vector>; using vd = vector; using vvd = vector>; using vs = vector; using vc = vector; using vvc = vector>; using vb = vector; using vvb = vector>; using vp = vector

; using vvp = vector>; template istream& operator>>(istream &is,pair &p) { return is >> p.first >> p.second; } template ostream& operator<<(ostream &os,const pair &p) { return os<<'{'< istream& operator>>(istream &is,vector &v) { for(T &t:v){is>>t;} return is; } template ostream& operator<<(ostream &os,const vector &v) { os<<'[';rep(i,v.size())os< bool chmin(T& a,T b) {if(a > b){a = b; return true;} return false;} template bool chmax(T& a,T b) {if(a < b){a = b; return true;} return false;} void scan(){} template void scan(Head& head, Tail&... tail){ cin >> head; scan(tail...); } template void print(const T& t){ cout << t << '\n'; } template void print(const Head& head, const Tail&... tail){ cout< void fin(T a) { print(a); exit(0); } const string yes[] = {"no","yes"}; const string Yes[] = {"No","Yes"}; const string YES[] = {"NO","YES"}; const int inf = 1001001001; const ll linf = 1001001001001001001; //@formatter:on class unionfind { int n; vector par, rank; vi sa, sb; vvi ps; public: unionfind(int n) : n(n), par(n, -1), rank(n, 0), sa(n), sb(n), ps(n) {} void set(int i, int a, int b, int p) { sa[i] = a, sb[i] = b; ps[i].assign(101, 0); ps[i][p]++; } int root(int x) { if (par[x] < 0) return x; else return par[x] = root(par[x]); } bool same(int x, int y) { return root(x) == root(y); }; bool merge(int x, int y) { x = root(x); y = root(y); if (x == y) return false; if (rank[x] < rank[y]) swap(x, y); if (rank[x] == rank[y]) rank[x]++; par[x] += par[y]; par[y] = x; sa[x] += sa[y]; sb[x] += sb[y]; rep(i, 101) ps[x][i] += ps[y][i]; return true; } int size(int x) { return -par[root(x)]; }; bool connected() { rep(i, n - 1) if (!same(i, i + 1)) return false; return true; } P get(int x) { x = root(x); return {sa[x], sb[x]}; } vi getP(int x) { return ps[root(x)]; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); INT(n); vi a(n), b(n), p(n); cin >> a >> b >> p; INT(q); unionfind uf(n); vd as(n); double ans = 0; cout << fixed << setprecision(15); rep(i, n) { uf.set(i, a[i], b[i], p[i]); as[i] = (a[i] - b[i]) * (a[i] - b[i]) * p[i]; ans += as[i]; } rep(i, q) { INT(x, y); x--; y--; if (uf.same(x, y)) { print(ans); continue; } ans -= as[uf.root(x)]; ans -= as[uf.root(y)]; uf.merge(x, y); auto[na, nb] = uf.get(x); vi np = uf.getP(x); int d = abs(na - nb); if (d == 0 or np[0] > 0) { as[uf.root(x)] = 0; print(ans); continue; } double ok = 1e12, ng = 0; auto f = [&](double x) -> bool { double now = 0; rep(j, 1, 101) { double l = x / j / 2; now += l * np[j]; } return now >= d; }; assert(f(ok)); rep(_, 80) { double mid = (ng + ok) / 2; if (f(mid)) ok = mid; else ng = mid; } double now = 0; rep(j, 1, 101) { double l = ok / j / 2; now += l * l * j * np[j]; } as[uf.root(x)] = now; ans += now; print(ans); } }