using System; using System.Collections.Generic; using System.Linq; using System.IO; using System.Threading; using System.Text; using System.Text.RegularExpressions; using System.Diagnostics; using static util; using P = pair; class Program { static void Main(string[] args) { var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; var solver = new Solver(sw); // var t = new Thread(solver.solve, 1 << 28); // 256 MB // t.Start(); // t.Join(); solver.solve(); sw.Flush(); } } class Solver { StreamWriter sw; Scan sc; void Prt(string a) => sw.WriteLine(a); void Prt(IEnumerable a) => Prt(string.Join(" ", a)); void Prt(params object[] a) => Prt(string.Join(" ", a)); public Solver(StreamWriter sw) { this.sw = sw; this.sc = new Scan(); } public void solve() { // P == 0 !!!!!! int n = sc.Int; var a = sc.IntArr; var b = sc.IntArr; var p = sc.IntArr; var ab = new int[n]; var ip = new double[n]; for (int i = 0; i < n; i++) { ab[i] = a[i] - b[i]; ip[i] = p[i] == 0 ? -1 : 1.0 / p[i]; } var uf = new UnionFind(n, ab, ip); double get_cost(int i) { i = uf.getpar(i); if (ip[i] == -1) { return 0; } return ab[i] * ab[i] / ip[i]; } int q = sc.Int; double ans = 0; for (int i = 0; i < n; i++) { ans += get_cost(i); } for (int _ = 0; _ < q; _++) { int u, v; sc.Multi(out u, out v); --u; --v; if (!uf.same(u, v)) { ans -= get_cost(u); ans -= get_cost(v); uf.unite(u, v); ans += get_cost(u); } Prt(ans); } } } class pair : IComparable> { public T v1; public U v2; public pair() : this(default(T), default(U)) {} public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; } public int CompareTo(pair a) { int c = Comparer.Default.Compare(v1, a.v1); return c != 0 ? c : Comparer.Default.Compare(v2, a.v2); } public override string ToString() => v1 + " " + v2; public void Deconstruct(out T a, out U b) { a = v1; b = v2; } } static class util { public static readonly int M = 1000000007; // public static readonly int M = 998244353; public static readonly long LM = 1L << 60; public static readonly double eps = 1e-11; public static void DBG(string a) => Console.Error.WriteLine(a); public static void DBG(IEnumerable a) => DBG(string.Join(" ", a)); public static void DBG(params object[] a) => DBG(string.Join(" ", a)); public static void Assert(params bool[] conds) { if (conds.Any(x => !x)) throw new Exception(); } public static pair make_pair(T v1, U v2) => new pair(v1, v2); public static int CompareList(IList a, IList b) where T : IComparable { for (int i = 0; i < a.Count && i < b.Count; i++) if (a[i].CompareTo(b[i]) != 0) return a[i].CompareTo(b[i]); return a.Count.CompareTo(b.Count); } public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w; public static readonly int[] dd = { 0, 1, 0, -1 }; // static readonly string dstring = "RDLU"; public static IEnumerable

adjacents(int i, int j) { for (int k = 0; k < 4; k++) yield return new P(i + dd[k], j + dd[k ^ 1]); } public static IEnumerable

adjacents(int i, int j, int h, int w) => adjacents(i, j).Where(p => inside(p.v1, p.v2, h, w)); public static IEnumerable

adjacents(this P p) => adjacents(p.v1, p.v2); public static IEnumerable

adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w); public static IEnumerable all_subset(this int p) { for (int i = 0; ; i = i - p & p) { yield return i; if (i == p) break; } } public static Dictionary compress(this IEnumerable a) => a.Distinct().OrderBy(v => v).Select((v, i) => new { v, i }).ToDictionary(p => p.v, p => p.i); public static Dictionary compress(params IEnumerable[] a) => compress(a.SelectMany(x => x)); public static T[] inv(this Dictionary dic) { var res = new T[dic.Count]; foreach (var item in dic) res[item.Value] = item.Key; return res; } public static void swap(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; } public static void swap(this IList a, int i, int j) where T : struct { var t = a[i]; a[i] = a[j]; a[j] = t; } public static T[] copy(this IList a) { var ret = new T[a.Count]; for (int i = 0; i < a.Count; i++) ret[i] = a[i]; return ret; } } class Scan { StreamReader sr; public Scan() { sr = new StreamReader(Console.OpenStandardInput()); } public Scan(string path) { sr = new StreamReader(path); } public int Int => int.Parse(Str); public long Long => long.Parse(Str); public double Double => double.Parse(Str); public string Str => ReadLine.Trim(); public string ReadLine => sr.ReadLine(); public pair Pair() { T a; U b; Multi(out a, out b); return new pair(a, b); } public P P => Pair(); public int[] IntArr => StrArr.Select(int.Parse).ToArray(); public long[] LongArr => StrArr.Select(long.Parse).ToArray(); public double[] DoubleArr => StrArr.Select(double.Parse).ToArray(); public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries); bool eq() => typeof(T).Equals(typeof(U)); T ct(U a) => (T)Convert.ChangeType(a, typeof(T)); T cv(string s) => eq() ? ct(int.Parse(s)) : eq() ? ct(long.Parse(s)) : eq() ? ct(double.Parse(s)) : eq() ? ct(s[0]) : ct(s); public void Multi(out T a) => a = cv(Str); public void Multi(out T a, out U b) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); } public void Multi(out T a, out U b, out V c) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); } public void Multi(out T a, out U b, out V c, out W d) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); } public void Multi(out T a, out U b, out V c, out W d, out X e) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); e = cv(ar[4]); } public void Multi(out T a, out U b, out V c, out W d, out X e, out Y f) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); e = cv(ar[4]); f = cv(ar[5]); } } class UnionFind { int num; int[] par, sz, rank; int[] asum; double[] ipsum; public UnionFind(int n, int[] a, double[] ip) { num = n; par = new int[n]; sz = new int[n]; rank = new int[n]; asum = a; ipsum = ip; for (int i = 0; i < n; ++i) { par[i] = i; sz[i] = 1; rank[i] = 0; } } int find(int x) => par[x] == x ? x : (par[x] = find(par[x])); public bool same(int x, int y) => find(x) == find(y); public int unionsize(int x) => sz[find(x)]; public int unioncount => num; public bool unite(int x, int y) { x = find(x); y = find(y); if (x == y) return false; --num; if (rank[x] < rank[y]) { par[x] = y; sz[y] += sz[x]; asum[y] += asum[x]; if (ipsum[y] < 0 || ipsum[x] < 0) { ipsum[y] = -1; } else { ipsum[y] += ipsum[x]; } } else { par[y] = x; sz[x] += sz[y]; asum[x] += asum[y]; if (ipsum[x] < 0 || ipsum[y] < 0) { ipsum[x] = -1; } else { ipsum[x] += ipsum[y]; } if (rank[x] == rank[y]) ++rank[x]; } return true; } public bool ispar(int x) => x == find(x); public int getpar(int x) => find(x); }