/** * @FileName a.cpp * @Author kanpurin * @Created 2020.06.02 20:54:11 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; int n; vector< vector< pair< int, int > > > g; vector< int > cost; void dfs(int v, int p = -1) { for (int i = 0; i < g[v].size(); i++) { if (g[v][i].first == p) { g[v][i].second = cost[p]; } else { g[v][i].second = cost[v]; dfs(g[v][i].first, v); } } } // 最近共通祖先(Doubling) // verify : https://onlinejudge.u-aizu.ac.jp/problems/GRL_5_C // struct LowestCommonAncestor { private: struct edge { int to, cost; edge(int to, int cost) : to(to), cost(cost) {} }; int n; int log; vector< vector< int > > parent; vector< int > dep; vector< vector< edge > > G; vector< ll > dis; // root からの距離 void dfs(const vector< vector< edge > >& G, int v, int p, int d, int di) { parent[0][v] = p; dep[v] = d; dis[v] = di; for (edge e : G[v]) { // if (to != p) dfs(G, to, v, d + 1); if (e.to != p) dfs(G, e.to, v, d + 1, di + e.cost); } } public: LowestCommonAncestor(int n) : n(n) { G.resize(n); } void add_edge(int from, int to, int cost) { G[from].push_back(edge(to, cost)); G[to].push_back(edge(from, cost)); } // add_edge後にする void build(int root = 0) { log = log2(n) + 1; parent.resize(log, vector< int >(n)); dep.resize(n); dis.resize(n); dfs(G, root, -1, 0, 0); for (int k = 0; k + 1 < log; k++) { for (int v = 0; v < G.size(); v++) { if (parent[k][v] < 0) { parent[k + 1][v] = -1; } else { parent[k + 1][v] = parent[k][parent[k][v]]; } } } } int depth(int v) { return dep[v]; } // O(logN) int lca(int u, int v) { if (dep[u] > dep[v]) swap(u, v); for (int k = 0; k < log; k++) if ((dep[v] - dep[u]) >> k & 1) v = parent[k][v]; if (u == v) return u; for (int k = log - 1; k >= 0; k--) { if (parent[k][u] != parent[k][v]) { u = parent[k][u]; v = parent[k][v]; } } return parent[0][u]; } int dist(int u, int v) { // return dep[u] + dep[v] - 2 * dep[lca(u, v)]; return dis[u] + dis[v] - 2 * dis[lca(u, v)]; } }; int main() { scanf("%d",&n); g.resize(n); for (int i = 0; i < n - 1; i++) { int a, b; scanf("%d %d",&a,&b); g[a].push_back({b, 0}); g[b].push_back({a, 0}); } cost.resize(n); for (int i = 0; i < n; i++) { scanf("%d",&cost[i]); } int m; scanf("%d",&m); dfs(0); LowestCommonAncestor lca(n); for (int i = 0; i < n; i++) { for (int j = 0; j < g[i].size(); j++) { lca.add_edge(i, g[i][j].first, g[i][j].second); } } lca.build(); ll ans = 0; for (int i = 0; i < m; i++) { int a, b, c; scanf("%d %d %d",&a,&b,&c); ans += ll(c) * (lca.dist(a, b) + cost[a] + cost[b] - cost[lca.lca(a, b)]); } printf("%d\n",ans); return 0; }