#line 1 "combined.cpp" #include #include #include namespace atcoder { struct dsu { public: dsu() : _n(0) {} dsu(int n) : _n(n), parent_or_size(n, -1) {} int merge(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = leader(a), y = leader(b); if (x == y) return x; if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y); parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; return x; } bool same(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); return leader(a) == leader(b); } int leader(int a) { assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; return parent_or_size[a] = leader(parent_or_size[a]); } int size(int a) { assert(0 <= a && a < _n); return -parent_or_size[leader(a)]; } std::vector> groups() { std::vector leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++) { leader_buf[i] = leader(i); group_size[leader_buf[i]]++; } std::vector> result(_n); for (int i = 0; i < _n; i++) { result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++) { result[leader_buf[i]].push_back(i); } result.erase( std::remove_if(result.begin(), result.end(), [&](const std::vector& v) { return v.empty(); }), result.end()); return result; } private: int _n; std::vector parent_or_size; }; } // namespace atcoder #include #include #line 71 "combined.cpp" using namespace std; using lint = long long; using ldouble = long double; void solve() { int n; cin >> n; vector ds(n); for (auto& d : ds) cin >> d; for (auto& d : ds) { int b; cin >> b; d -= b; } vector ps(n, 0); vector zero(n, false); for (int i = 0; i < n; ++i) { int p; cin >> p; if (p == 0) { zero[i] = true; } else { ps[i] = 1.L / p; } } auto cost = [&](int v) { return zero[v] ? 0 : ds[v] * ds[v] / ps[v]; }; ldouble ans = 0; for (int v = 0; v < n; ++v) ans += cost(v); atcoder::dsu dsu(n); int q; cin >> q; while (q--) { int u, v; cin >> u >> v; --u, --v; u = dsu.leader(u); v = dsu.leader(v); if (u != v) { ans -= cost(u); ans -= cost(v); auto nd = ds[u] + ds[v]; auto np = ps[u] + ps[v]; auto nz = zero[u] || zero[v]; auto w = dsu.merge(u, v); ds[w] = nd, ps[w] = np, zero[w] = nz; ans += cost(w); } cout << ans << "\n"; } } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); solve(); return 0; }