using System; using System.IO; using System.Linq; using System.Text; using System.Text.RegularExpressions; using System.Collections.Generic; using System.Diagnostics; using System.Numerics; using Enu = System.Linq.Enumerable; public class Program { List[] E; int[] C; int[] S; public void Solve() { int N = Reader.Int(); E = Enu.Range(0, N).Select(i => new List()).ToArray(); for (int i = 0; i < N - 1; i++) { int a = Reader.Int(), b = Reader.Int(); E[a].Add(b); E[b].Add(a); } C = Reader.IntArray(N); int Q = Reader.Int(); var table = Reader.IntTable(Q); S = new int[N]; DFS(0, -1, 0); var LCA = new LowestCommonAncestor(0, E); long ans = 0; foreach (var q in table) { int lca = LCA.Get(q[0], q[1]); ans += q[2] * (S[q[0]] + S[q[1]] - S[lca] * 2 + C[lca]); } Console.WriteLine(ans); } void DFS(int v, int prev, int sumCost) { sumCost += C[v]; S[v] += sumCost; foreach (int next in E[v]) if (next != prev) DFS(next, v, sumCost); } class LowestCommonAncestor { List[] G; RangeMinQueryIndex Rmq; List Vs = new List(); List Depth = new List(); int[] Id; public LowestCommonAncestor(int root, List[] G) { this.G = G; Init(root); } public int Get(int a, int b) { int L = Math.Min(Id[a], Id[b]); int R = Math.Max(Id[a], Id[b]) + 1; int i = Rmq.Get(L, R); return Vs[i]; } private void Init(int root) { Id = new int[G.Length]; DFS(root, -1, 0); Rmq = new RangeMinQueryIndex(Depth.Count); for (int i = 0; i < Depth.Count; i++) Rmq.Set(i, Depth[i]); } private void DFS(int v, int prev, int d) { Id[v] = Vs.Count; Vs.Add(v); Depth.Add(d); foreach (int next in G[v]) if (next != prev) { DFS(next, v, d + 1); Vs.Add(v); Depth.Add(d); } } } class RangeMinQueryIndex { private static readonly int INF = (int)1e9; public readonly int N; private readonly int[] tree; private readonly int[] index; public RangeMinQueryIndex(int N) { while (N < 2 || (N & (N - 1)) != 0) { N += N & -N; } this.N = N; tree = new int[N * 2]; index = new int[N * 2]; for (int i = 0; i < tree.Length; i++) tree[i] = INF; } public void Set(int i, int val) { int id = i; i += N - 1; tree[i] = val; index[i] = id; while (i > 0) { i = (i - 1) / 2; int L = i * 2 + 1, R = i * 2 + 2; if (tree[L] <= tree[R]) { tree[i] = tree[L]; index[i] = index[L]; } else { tree[i] = tree[R]; index[i] = index[R]; } } } // [L, R) public int Get(int L, int R) { int v = -1; return Rec(0, ref v, 0, N, L, R); } private int Rec(int i, ref int val, int currL, int currR, int L, int R) { if (currL >= R || currR <= L) { val = INF; return -1; } if (currL >= L && currR <= R) { val = tree[i]; return index[i]; } int mid = (currL + currR) / 2; int Lv = INF, Rv = INF; int Li = Rec(i * 2 + 1, ref Lv, currL, mid, L, R); int Ri = Rec(i * 2 + 2, ref Rv, mid, currR, L, R); if (Lv <= Rv) { val = Lv; return Li; } val = Rv; return Ri; } } } class Entry { static void Main() { new Program().Solve(); } } class Reader { static TextReader reader = Console.In; static readonly char[] separator = { ' ' }; static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; static string[] A = new string[0]; static int i; static void Init() { A = new string[0]; } public static void Set(TextReader r) { reader = r; Init(); } public static void Set(string file) { reader = new StreamReader(file); Init(); } public static bool HasNext() { return CheckNext(); } public static string String() { return Next(); } public static int Int() { return int.Parse(Next()); } public static long Long() { return long.Parse(Next()); } public static double Double() { return double.Parse(Next()); } public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); } public static int[] IntArray(int N) { return Range(N, Int); } public static int[][] IntTable(int H) { return Range(H, IntLine); } public static string[] StringArray(int N) { return Range(N, Next); } public static string[][] StringTable(int N) { return Range(N, () => Split(Line())); } public static string Line() { return reader.ReadLine().Trim(); } static T[] Range(int N, Func f) { return Enu.Range(0, N).Select(i => f()).ToArray(); } static string[] Split(string s) { return s.Split(separator, op); } static string Next() { CheckNext(); return A[i++]; } static bool CheckNext() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return CheckNext(); A = Split(line); i = 0; return true; } }