#include #define EPS 1e-9 #define INF 1070000000LL #define MOD 1000000007LL #define fir first #define foreach(it,X) for(auto it=(X).begin();it!=(X).end();it++) #define numa(x,a) for(auto x: a) #define ite iterator #define mp make_pair #define rep(i,n) rep2(i,0,n) #define rep2(i,m,n) for(int i=m;i<(n);i++) #define pb push_back #define pf push_front #define sec second #define sz(x) ((int)(x).size()) #define ALL( c ) (c).begin(), (c).end() #define gcd(a,b) __gcd(a,b) #define mem(x,n) memset(x,n,sizeof(x)) #define endl "\n" using namespace std; template void deploy(std::ostream &os, const TUPLE &tuple){} template void deploy(std::ostream &os, const TUPLE &t){ os << (POS == 0 ? "" : ", ") << get(t); deploy(os, t); } template std::ostream& operator<<(std::ostream &os, std::pair &p){ os << "(" << p.first <<", " << p.second <<")";return os; } template std::ostream& operator<<(std::ostream &os, std::vector &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::set &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::map &mp){ int remain = mp.size(); os << "{"; for(auto e: mp) os << "(" << e.first << " -> " << e.second << ")" << (--remain == 0 ? "}" : ", "); return os; } #define DEBUG1(var0) { std::cerr << (#var0) << "=" << (var0) << endl; } #define DEBUG2(var0, var1) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG1(var1); } #define DEBUG3(var0, var1, var2) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG2(var1,var2); } #define DEBUG4(var0, var1, var2, var3) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG3(var1,var2,var3); } using ll = long long; int U[100100]; template class LCA{ int root; vector edge[MAX_V]; int parent[MAX_LOG_V][MAX_V]; int depth[MAX_V]; int cost[MAX_V]; int V; public: LCA(){ root = 0; V = MAX_V; } inline void dfs(int v,int p,int d){ parent[0][v] = p; depth[v] = d; for(int i = 0;i < sz(edge[v]);i++){ if(edge[v][i] != p){ dfs(edge[v][i],v,d+1); } } } inline void add_edge(int x,int y) { edge[x].pb(y); edge[y].pb(x); } inline void init(int root_, int V_){ root = root_; V = V_; //parent[0]とrootを初期化 dfs(root,-1,0); //parentを初期化する for(int k = 0;k+1 depth[v]){ swap(u,v); } for(int k = 0; k < MAX_LOG_V;k++){ if((depth[v]-depth[u]) >> k & 1){ v = parent[k][v]; } } if(u == v){ return u; } for(int k = MAX_LOG_V-1;k >= 0;k--){ if(parent[k][u] != parent[k][v]){ u = parent[k][u]; v = parent[k][v]; } } return parent[0][u]; } void dfs2(int v, int par = -1, int c = 0){ int nc = c + U[v]; cost[v] = nc; numa(x, edge[v]){ if (x == par) continue; dfs2(x, v, nc); } } ll solve(int u, int v){ int par = query(u,v); return cost[u] + cost[v] - cost[par] * 2 + U[par]; } }; LCA<100010, 17> lca; int main() { cin.tie(0); ios_base::sync_with_stdio(0); int N; cin >> N; rep(i,N-1){ int u,v; cin >> u >> v; lca.add_edge(u, v); } rep(i,N){ cin >> U[i]; } lca.init(0, N); int M; cin >> M; ll ans = 0; rep(i,M){ int u,v,c; cin >> u >> v >> c; ans += lca.solve(u, v) * c; } cout << ans << endl; return 0; }