#include "bits/stdc++.h" using namespace std; struct RangeSumQuery { using type = long long; static type id() { return 0; } static type op(const type &l, const type &r) { return l + r; } }; template class SegmentTree { using T = typename M::type; int n; std::vector node; public: // v を基に初期化 SegmentTree(const std::vector &v) { // n は v.size() 以上の最小の2冪 n = 1; while (n < int(v.size())) n *= 2; node.resize(2 * n, M::id()); // i の子 -> 2*i+1, 2*i+2 , 親 -> (i-1)/2 for (int i = 0; i < int(v.size()); i++) node[i + n] = v[i]; for (int i = n - 1; i >= 0; i--) node[i] = M::op(node[2 * i], node[2 * i + 1]); } // Monoid::id 初期化 SegmentTree(int _n) { // n は v.size() 以上の最小の2冪 n = 1; while (n < _n) n *= 2; node.resize(2 * n, M::id()); } // x 番目を val に更新 void update(int x, T val) { x += n; node[x] = val; while (x >>= 1) { node[x] = M::op(node[2 * x], node[2 * x + 1]); } } // v[x] を M::op(v[x], val) に更新 void operation(int x, T val) { x += n; node[x] = M::op(node[x], val); while (x >>= 1) { node[x] = M::op(node[2 * x], node[2 * x + 1]); } } // [a, b] の op T query(int l, int r) { l += n; r += n; T retl = M::id(), retr = M::id(); while (l < r) { if (l & 1) retl = M::op(retl, node[l++]); if (r & 1) retr = M::op(node[--r], retr); l >>= 1; r >>= 1; } return M::op(retl, retr); } }; // http://beet-aizu.hatenablog.com/entry/2017/12/12/235950 struct HeavyLightDecomposition { int n, pos; vector> G; // HL分解後のグラフでのid vector id; // 頂点が属するheavy-pathのheavyHeadIdのid vector heavyHeadId; // 部分木のサイズ vector subTreeSize; // heavy-path上での次の頂点のid vector heavyNextId; // 親のid vector par; // 深さ vector dep; // HL分解前のグラフのid vector invId; // 森をHL分解するときの属する木の番号 vector treeId; HeavyLightDecomposition() {} HeavyLightDecomposition(int _n) : n(_n), pos(0), G(n), id(n, -1), heavyHeadId(n), subTreeSize(n, 1), heavyNextId(n, -1), par(n), dep(n), invId(n), treeId(n) {} // u, v に無向辺を追加 void add_edge(int u, int v) { G[u].push_back(v); G[v].push_back(u); } void build(vector rs = vector(1, 0)) { int c = 0; for (int r : rs) { dfs(r); bfs(r, c++); } } void dfs(int rootId) { using T = pair; stack st; par[rootId] = -1; dep[rootId] = 0; st.emplace(rootId, 0); while (!st.empty()) { int v = st.top().first; int &i = st.top().second; if (i < (int)G[v].size()) { int u = G[v][i++]; if (u == par[v]) continue; par[u] = v; dep[u] = dep[v] + 1; st.emplace(u, 0); } else { st.pop(); int res = 0; for (int u : G[v]) { if (u == par[v]) continue; subTreeSize[v] += subTreeSize[u]; if (res < subTreeSize[u]) res = subTreeSize[u], heavyNextId[v] = u; } } } } void bfs(int r, int c) { int &k = pos; queue q({r}); while (!q.empty()) { int h = q.front(); q.pop(); for (int i = h; i != -1; i = heavyNextId[i]) { treeId[i] = c; id[i] = k++; invId[id[i]] = i; heavyHeadId[i] = h; for (int j : G[i]) if (j != par[i] && j != heavyNextId[i]) q.push(j); } } } // for_each(verootIdex) // u, v を結ぶパス上の各頂点に対し... // [l,r] <- attention!! void vertexQuery(int u, int v, const function &f) { while (1) { if (id[u] > id[v]) swap(u, v); f(max(id[heavyHeadId[v]], id[u]), id[v]); if (heavyHeadId[u] != heavyHeadId[v]) v = par[heavyHeadId[v]]; else break; } } // for_each(edge) // u, v を結ぶ各辺に対し... // [l,r] <- attention!! void for_each_edge(int u, int v, const function &f) { while (1) { if (id[u] > id[v]) swap(u, v); if (heavyHeadId[u] != heavyHeadId[v]) { f(id[heavyHeadId[v]], id[v]); v = par[heavyHeadId[v]]; } else { if (u != v) f(id[u] + 1, id[v]); break; } } } int lca(int u, int v) { while (1) { if (id[u] > id[v]) swap(u, v); if (heavyHeadId[u] == heavyHeadId[v]) return u; v = par[heavyHeadId[v]]; } } int distance(int u, int v) { return dep[u] + dep[v] - 2 * dep[lca(u, v)]; } int getId(int u) { return id[u]; } }; int main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; SegmentTree st(n); HeavyLightDecomposition hl(n); for (int i = 0; i < n - 1; i++) { int a, b; cin >> a >> b; hl.add_edge(a, b); } hl.build(); for (int i = 0; i < n; i++) { int index, u; cin >> u; index = hl.getId(i); st.update(index, u); } int m; cin >> m; long long ret = 0; while (m--) { long long a, b, c; cin >> a >> b >> c; hl.vertexQuery(a, b, [&](int l, int r) { ret += c * st.query(l, r + 1); }); } cout << ret << endl; }