#ifdef LOCAL111 #else #define NDEBUG #endif #include const int INF = 1e8; using namespace std; #define endl '\n' #define ALL(a) (a).begin(),(a).end() #define SZ(a) int((a).size()) #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--) #define REP(i,n) FOR(i,0,n) #define RREP(i,n) for (int i=(n)-1;i>=0;i--) #define RBP(i,a) for(auto& i : a) #ifdef LOCAL111 #define DEBUG(x) cout<<#x<<": "<<(x)< void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} template bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;} typedef pair P; typedef long long int LL; typedef unsigned long long ULL; typedef pair LP; void ios_init(){ //cout.setf(ios::fixed); //cout.precision(12); #ifdef LOCAL111 return; #endif ios::sync_with_stdio(false); cin.tie(0); } //library typedef long long cost_t; class Edge { public: int to; cost_t cost; Edge(){ } Edge(int x,cost_t y){ to = x; cost = y; } bool operator< (const Edge& x) const { return cost < x.cost; } bool operator> (const Edge& x) const { return cost > x.cost; } }; class Graph { private: //const long long int INF = (long long)1e18; vector > v; int n; public: Graph(int x){ n = x; v = vector >(x); } vector& operator[](int x){ return v[x]; } const vector& operator[](int x) const { return v[x]; } int size() const { return n; } void add_edge(int from, Edge e){ v[from].push_back(e); } void add_edge(int from, int to, cost_t cost){ add_edge(from,Edge(to,cost)); } void add_uedge(int from, int to, cost_t cost){ add_edge(from,to,cost); add_edge(to,from,cost); } }; vector dijkstra(int from, const Graph& v) { vector dist(v.size(),INF); priority_queue,greater> que; que.push(Edge(from,0)); while(!que.empty()){ Edge e = que.top(); que.pop(); if(dist[e.to] == INF){ dist[e.to] = e.cost; for(auto to : v[e.to]){ if(dist[to.to] == INF) que.push(Edge(to.to, e.cost+to.cost)); } } } return dist; } vector bellmanford(int from, const Graph& g){ vector res(g.size(),INF); res[from] = 0; bool conf = true; int cnt = 0; while(conf){ conf = false; for(int i = 0; i < g.size(); i++){ if(res[i] != INF) for(const auto& e : g[i]){ if(res[e.to] > res[i]+e.cost){ conf = true; res[e.to] = res[i]+e.cost; } } } if(cnt > g.size()+5) return vector(); cnt++; } return res; } Graph prim(const Graph g){ using T = tuple; priority_queue, greater> qu; int n = g.size(); assert(n != 0); vector added(n,false); qu.emplace(0,0,0); Graph res(n); while(!qu.empty()){ int from, to; cost_t cost; tie(cost, from, to) = qu.top(); qu.pop(); if(!added[to]){ added[to] = true; res.add_edge(from, to, cost); res.add_edge(to, from, cost); for(const auto &e : g[to]){ if(!added[e.to]){ qu.emplace(e.cost, to, e.to); } } } } return res; } vector tree_getorder(const Graph &g, int root){ vector res; function func = [&](int p, int pre){ for(auto &e : g[p]){ if(e.to != pre){ func(e.to,p); } } res.push_back(p); }; func(root,-1); return res; } vector tree_getpar(const Graph &g, int root){ vector par(g.size(),root); function func = [&](int p, int pre){ par[p] = pre; for(auto &e : g[p]){ if(e.to != pre){ func(e.to,p); } } }; func(root,root); return par; } vector tree_imos(const Graph &g, int root){ int n = g.size(); vector res(n,0); function dfs = [&](int p, int pre, cost_t sum){ res[p] = sum; for(auto &e : g[p]){ if(e.to != pre){ dfs(e.to, p, sum+e.cost); } } }; dfs(root, root,0); return res; } //liblary //library class LCA{ public: vector> parent; vector depth; int maxlogv; LCA(const Graph &g, int root){ int n = g.size(); maxlogv = 0; int n_ = n; while(n_ != 0){ n_ >>= 1; maxlogv++; } if((1<>(maxlogv,vector(n,-1)); depth = vector(n,0); function dfs = [&](int v, int p, int d){ parent[0][v] = p; depth[v] = d; for(const auto &e : g[v]){ if(e.to != p) dfs(e.to, v, d+1); } }; dfs(root,-1,0); for(int k = 0; k+1 < maxlogv; k++){ for(int v = 0; v < n; v++){ if(parent[k][v] < 0) parent[k+1][v] = -1; else parent[k+1][v] = parent[k][parent[k][v]]; } } } cost_t query(int u, int v){ if(depth[u] > depth[v]) swap(u,v); for(int k = 0; k < maxlogv; k++){ if((depth[v]-depth[u]) >> k & 1){ v = parent[k][v]; } } if(u == v) return u; for(int k = maxlogv-1; k >= 0; k--){ if(parent[k][u] != parent[k][v]){ u = parent[k][u]; v = parent[k][v]; } } return parent[0][u]; } }; //library int main() { ios_init(); int n; cin >> n; Graph g(n); REP(i,n-1){ int a,b; cin >> a >> b; g.add_edge(a,b,-1); g.add_edge(b,a,-1); } vector u(n); REP(i,n) cin >> u[i]; auto pars = tree_getpar(g,0); REP(i,n){ RBP(e,g[i]){ if(pars[i] == e.to){ e.cost = u[i]; }else{ e.cost = u[e.to]; } } } LCA lca(g,0); auto imos = tree_imos(g,0); int m; cin >> m; LL ans = 0; REP(i,m){ int a,b,c; cin >> a >> b >> c; auto x = lca.query(a,b); ans += (imos[a]+imos[b]-2*imos[x]+u[x])*c; } cout << ans << endl; return 0; }