#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #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 ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } template< typename G > struct DoublingLowestCommonAncestor { const int LOG; vector< int > dep; const G &g; vector< vector< int > > table; DoublingLowestCommonAncestor(const G &g) : g(g), dep(g.size()), LOG(32 - __builtin_clz(g.size())) { table.assign(LOG, vector< int >(g.size(), -1)); } void dfs(int idx, int par, int d) { table[0][idx] = par; dep[idx] = d; for(auto &to : g[idx]) { if(to != par) dfs(to, idx, d + 1); } } void build(int root = 0) { dfs(root, -1, 0); for(int k = 0; k + 1 < LOG; k++) { for(int i = 0; i < table[k].size(); i++) { if(table[k][i] == -1) table[k + 1][i] = -1; else table[k + 1][i] = table[k][table[k][i]]; } } } int query(int u, int v) { if(dep[u] > dep[v]) swap(u, v); for(int i = LOG - 1; i >= 0; i--) { if(((dep[v] - dep[u]) >> i) & 1) v = table[i][v]; } if(u == v) return u; for(int i = LOG - 1; i >= 0; i--) { if(table[i][u] != table[i][v]) { u = table[i][u]; v = table[i][v]; } } return table[0][u]; } }; int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; in(n); vector> g(n); rep(i,n-1){ int x,y; in(x,y); g[x].pb(y); g[y].pb(x); } vector u(n); in(u); vector dist(n,-1); dist[0] = 0; queue q; q.push(0); while(q.size()){ int v = q.front(); q.pop(); for(int w : g[v]){ if(dist[w] == -1){ dist[w] = dist[v] + u[w]; q.push(w); } } } DoublingLowestCommonAncestor>> l(g); l.build(); int m; in(m); ll ans = 0; while(m--){ int a,b; ll c; in(a,b,c); int d = l.query(a,b); ll tmp = dist[a] + dist[b] - dist[d]*2; tmp += u[d]; ans += tmp*c; } out(ans); }