#include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifndef templete #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() //#include //using namespace boost::multiprecision; using namespace std; using namespace atcoder; //using atmint = modint998244353; using atmint = modint; using Graph = vector>; using P = pair; //#pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; templatebool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } templatebool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } //--------------------------------------------------------------------------------------------------- template struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return ModInt(u); } bool operator==(ModInt that) const { return x == that.x; } bool operator!=(ModInt that) const { return x != that.x; } ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; } }; template ostream& operator<<(ostream& st, const ModInt a) { st << a.get(); return st; }; template ModInt operator^(ModInt a, unsigned long long k) { ModInt r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; } template struct Comb { vector fac, ifac; Comb(){fac.resize(FAC_MAX,1);ifac.resize(FAC_MAX,1);rep(i,1,FAC_MAX)fac[i]=fac[i-1]*i; ifac[FAC_MAX-1]=T(1)/fac[FAC_MAX-1];rrep(i,FAC_MAX-2,1)ifac[i]=ifac[i+1]*T(i+1);} T aPb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b]; } T aCb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b] * ifac[b]; } T nHk(int n, int k) { if (n == 0 && k == 0) return T(1); if (n <= 0 || k < 0) return 0; return aCb(n + k - 1, k); } // nHk = (n+k-1)Ck : n is separator T pairCombination(int n) {if(n%2==1)return T(0);return fac[n]*ifac[n/2]/(T(2)^(n/2));} // combination of paris for n com.aCb(h+w-2,h-1); }; typedef ModInt<1000000007> mint; //typedef ModInt<998244353> mint; //typedef ModInt<1000000000> mint; Comb com; //vector dp(n+1,vector(n+1,vector(n+1,0))); //vector dp(n+1,vector(n+1,0)); std::random_device seed_gen; std::mt19937 engine(seed_gen()); string ye = "Yes"; string no = "No"; string draw = "Draw"; #endif // templete //--------------------------------------------------------------------------------------------------- struct LCA { vector> parent; // parent[k][u]:= u の 2^k 先の親 vector dist; // root からの距離 LCA(const Graph &G, int root = 0) { init(G, root); } // 初期化 void init(const Graph &G, int root = 0) { int V = G.size(); int K = 1; while ((1 << K) < V) K++; parent.assign(K, vector(V, -1)); dist.assign(V, -1); dfs(G, root, -1, 0); for (int k = 0; k + 1 < K; k++) { for (int v = 0; v < V; v++) { if (parent[k][v] < 0) { parent[k + 1][v] = -1; } else { parent[k + 1][v] = parent[k][parent[k][v]]; } } } } // 根からの距離と1つ先の頂点を求める void dfs(const Graph &G, int v, int p, int d) { parent[0][v] = p; dist[v] = d; for (auto e : G[v]) { if (e != p) dfs(G, e, v, d + 1); } } int query(int u, int v) { if (dist[u] < dist[v]) swap(u, v); // u の方が深いとする int K = parent.size(); // LCA までの距離を同じにする for (int k = 0; k < K; k++) { if ((dist[u] - dist[v]) >> k & 1) { u = parent[k][u]; } } // 二分探索で LCA を求める if (u == v) return u; for (int k = K - 1; k >= 0; k--) { if (parent[k][u] != parent[k][v]) { u = parent[k][u]; v = parent[k][v]; } } return parent[0][u]; } int get_dist(int u, int v) { return dist[u] + dist[v] - 2 * dist[query(u, v)]; } bool is_on_path(int u, int v, int a) { return get_dist(u, a) + get_dist(a, v) == get_dist(u, v); } }; ll n; Graph g; vectoru; vectordiscovery; ll op(ll a, ll b){return a + b;} ll e(){return 0;} const ll maxn = 200005; segtreeseg(maxn * 2 + 5); ll t; void dfs(ll from, ll par){ discovery[from] = t; seg.set(t,u[from]); for(auto to:g[from]){ if(to == par)continue; t++; dfs(to,from); } t++; seg.set(t,u[from]*-1); } void _main() { cin >> n; g.resize(n); rep(i,0,n-1){ ll a,b; cin >> a >> b; g[a].push_back(b); g[b].push_back(a); } u.resize(n); rep(i,0,n)cin >> u[i]; discovery.resize(n); LCA lca(g); dfs(0,-1); ll m; cin >> m; ll ans = 0; rep(i,0,m){ ll a,b,c; cin >> a >> b >> c; ll ab_lca = lca.query(a,b); ll add = 0; add += seg.prod(0,discovery[a]+1); add += seg.prod(0,discovery[b]+1); add -= seg.prod(0,discovery[ab_lca]+1)*2; add += u[ab_lca]; add *= c; ans += add; } cout << ans << endl; }