using System; using System.Collections.Generic; using System.Linq; using System.IO; using System.Runtime.CompilerServices; using System.Text; using static Template; using static System.Console; using static System.Convert; using static System.Math; using Pi = Pair; using Number = System.Int64; class Solver { public void Solve() { var num = Input.num; var lca = new LowestCommonAncestor(num); for(var i=0;i 0) { int a, b, c; Input.Make(out a, out b, out c); res += c * lca.LCA(a, b); }WriteLine(res); } } class LowestCommonAncestor { private List[] edge; private int num, lb; private int[][] parent; private int[] depth; public long[] cs; long[][] dist; public LowestCommonAncestor(int num) { this.num = num; edge = Create(num, () => new List()); } public void AddEdge(int u, int v) { edge[u].Add(v); edge[v].Add(u); } public void Build(int root = 0) { for (lb = 31; lb >= 0; lb--) if ((1 & num >> lb) == 1) break; parent = Create(lb + 1, () => Create(num, () => -1)); dist = Create(lb + 1, () => Create(num, () => -1L)); dist[0] = cs; depth = new int[num]; PreDFS(root, -1); for (var i = 1; i <= lb; i++) for (var j = 0; j < num; j++) if (parent[i - 1][j] != -1) { parent[i][j] = parent[i - 1][parent[i - 1][j]]; dist[i][j] = dist[i - 1][j] + dist[i - 1][parent[i - 1][j]]; } } private void PreDFS(int index, int p) { parent[0][index] = p; foreach (var e in edge[index]) if (e != p) { depth[e] = depth[index] + 1; PreDFS(e, index); } } public long LCA(int u, int v) { if (depth[u] > depth[v]) swap(ref u, ref v); var rt = 0L; for (var i = lb; i >= 0; i--) if ((1 & (depth[v] - depth[u]) >> i) == 1) { rt += dist[i][v]; v = parent[i][v]; } if (u == v) return rt + cs[u]; for (var i = lb; i >= 0; i--) if (parent[i][u] != parent[i][v]) { rt += dist[i][u] + dist[i][v]; u = parent[i][u]; v = parent[i][v]; } return rt + dist[1][u] + dist[0][v]; } } #region Template public class Template { [MethodImpl(MethodImplOptions.AggressiveInlining)] public static bool chmin(ref T num, T val) where T : IComparable { if (num.CompareTo(val) == 1) { num = val; return true; } return false; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static bool chmax(ref T num, T val) where T : IComparable { if (num.CompareTo(val) == -1) { num = val; return true; } return false; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static void swap(ref T v1, ref T v2) { var t = v2; v2 = v1; v1 = t; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static T[] Create(int n, Func f) => Enumerable.Repeat(0, n).Select(_ => f()).ToArray(); public static void Fail() => Fail("No"); public static void Fail(T s) { Console.WriteLine(s); Console.Out.Close(); Environment.Exit(0); } static void Main(string[] args) { var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; Console.SetOut(sw); var p = new Solver(); for (var i = 1; i > 0; --i) p.Solve(); Console.Out.Flush(); } } public class Input { public static string read => Console.ReadLine().Trim(); public static int[] ar => read.Split(' ').Select(int.Parse).ToArray(); public static int num => Convert.ToInt32(read); public static long[] arL => read.Split(' ').Select(long.Parse).ToArray(); public static long numL => Convert.ToInt64(read); public static char[][] grid(int h) => Create(h, () => read.ToCharArray()); public static int[] ar1D(int n) => Create(n, () => num); public static long[] arL1D(int n) => Create(n, () => numL); public static string[] strs(int n) => Create(n, () => read); public static int[][] ar2D(int n) => Create(n, () => ar); public static long[][] arL2D(int n) => Create(n, () => arL); public static List[] edge(int n) => Create(n, () => new List()); public static void Make(out T1 v1, out T2 v2) { v1 = Next(); v2 = Next(); } public static void Make(out T1 v1, out T2 v2, out T3 v3) { Make(out v1, out v2); v3 = Next(); } public static void Make(out T1 v1, out T2 v2, out T3 v3, out T4 v4) { Make(out v1, out v2, out v3); v4 = Next(); } public static void Make(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5) { Make(out v1, out v2, out v3, out v4); v5 = Next(); } public static void Make(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5, out T6 v6) { Make(out v1, out v2, out v3, out v4, out v5); v6 = Next(); } private static Queue sc = new Queue(); public static T Next() { if (sc.Count == 0) foreach (var item in ReadLine().Split(' ')) sc.Enqueue(item); return (T)Convert.ChangeType(sc.Dequeue(), typeof(T)); } public const int MOD = 1000000007; } public class Pair : IComparable> { public T1 v1; public T2 v2; public Pair() { v1 = default(T1); v2 = default(T2); } public Pair(T1 v1, T2 v2) { this.v1 = v1; this.v2 = v2; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public int CompareTo(Pair p) { var c = Comparer.Default.Compare(v1, p.v1); if (c == 0) c = Comparer.Default.Compare(v2, p.v2); return c; } public override string ToString() => $"{v1.ToString()} {v2.ToString()}"; } public class Pair : Pair, IComparable> { public T3 v3; public Pair() : base() { v3 = default(T3); } public Pair(T1 v1, T2 v2, T3 v3) : base(v1, v2) { this.v3 = v3; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public int CompareTo(Pair p) { var c = base.CompareTo(p); if (c == 0) c = Comparer.Default.Compare(v3, p.v3); return c; } public override string ToString() => $"{base.ToString()} {v3.ToString()}"; } #endregion