#include #include #include using namespace std; using ll = long long; struct LCA{ vector> parent; vector dist; LCA(const vector> &G, int root = 0){ init(G, root); } void init(const vector> &G, int root = 0){ dist.assign(G.size(), -1); int k = 1; for(; (1 << k) < G.size(); k++); parent.assign(k, vector(G.size(), -1)); queue Q; dist[root] = 0; Q.emplace(root); while(!Q.empty()){ int c = Q.front(); Q.pop(); for(const auto &nex: G[c]){ if(dist[nex] != -1) continue; dist[nex] = dist[c]+1; parent[0][nex] = c; Q.emplace(nex); } } for(int i = 1; i < parent.size(); i++){ for(int v = 0; v < G.size(); v++){ if(parent[i-1][v] < 0) parent[i][v] = 0; else parent[i][v] = parent[i-1][parent[i-1][v]]; } } } int query(int u, int v){ if(dist[u] < dist[v]) swap(u, v); for(int i = 0; i < parent.size(); i++){ if((dist[u]-dist[v]) >> i & 1){ u = parent[i][u]; } } if(u == v) return u; for(int i = parent.size()-1; i >= 0; i--){ if(parent[i][u] != parent[i][v]){ u = parent[i][u]; v = parent[i][v]; } } return parent[0][u]; } }; int main(){ int n; cin >> n; vector> G(n); for(int i = 0; i < n-1; i++){ int a, b; cin >> a >> b; G[a].emplace_back(b); G[b].emplace_back(a); } vector u(n); for(auto &it: u) cin >> it; LCA lca(G); vector cost(n, -1); cost[0] = u[0]; queue Q; Q.emplace(0); while(!Q.empty()){ int c = Q.front(); Q.pop(); for(auto const &nex: G[c]){ if(cost[nex] != -1) continue; cost[nex] = cost[c]+u[nex]; Q.emplace(nex); } } int m; cin >> m; ll ans = 0; while(m--){ int a, b, c; cin >> a >> b >> c; ans += (ll)(cost[a]+cost[b]-2*cost[lca.query(a, b)]+u[lca.query(a, b)])*c; } cout << ans << endl; return 0; }