#include using namespace std; #define int long long #define rep(i,n) for(int (i)=0;(i)<(n);(i)++) #define rrep(i,n) for(int (i)=((n)-1);(i)>=0;(i)--) #define itn int #define miele(v) min_element(v.begin(), v.end()) #define maele(v) max_element(v.begin(), v.end()) #define SUM(v) accumulate(v.begin(), v.end(), 0LL) #define lb(a, key) lower_bound(a.begin(),a.end(),key) #define ub(a, key) upper_bound(a.begin(),a.end(),key) #define COUNT(a, key) count(a.begin(), a.end(), key) #define BITCOUNT(x) __builtin_popcount(x) #define pb push_back #define all(x) (x).begin(),(x).end() #define F first #define S second using P = pair ; using WeightedGraph = vector>; using UnWeightedGraph = vector>; using Real = long double; using Point = complex; //Point and Vector2d is the same! using Vector2d = complex; const long long INF = 1LL << 60; const int MOD = 1000000007; const double EPS = 1e-15; const double PI=3.14159265358979323846; template int getIndexOfLowerBound(vector &v, T x){ return lower_bound(v.begin(),v.end(),x)-v.begin(); } template int getIndexOfUpperBound(vector &v, T x){ return upper_bound(v.begin(),v.end(),x)-v.begin(); } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } #define DUMPOUT cerr #define repi(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) istream &operator>>(istream &is, Point &p) { Real a, b; is >> a >> b; p = Point(a, b); return is; } template istream &operator>>(istream &is, pair &p_var) { is >> p_var.first >> p_var.second; return is; } template istream &operator>>(istream &is, vector &vec) { for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, pair &pair_var) { DUMPOUT<<'{'; os << pair_var.first; DUMPOUT<<','; os << " "<< pair_var.second; DUMPOUT<<'}'; return os; } template ostream &operator<<(ostream &os, vector &vec) { DUMPOUT<<'['; for (int i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " "); DUMPOUT<<']'; return os; } template ostream &operator<<(ostream &os, vector> &df) { for (auto& vec : df) os< ostream &operator<<(ostream &os, map &map_var) { DUMPOUT << "{"; repi(itr, map_var) { os << *itr; itr++; if (itr != map_var.end()) DUMPOUT << ", "; itr--; } DUMPOUT << "}"; return os; } template ostream &operator<<(ostream &os, set &set_var) { DUMPOUT << "{"; repi(itr, set_var) { os << *itr; itr++; if (itr != set_var.end()) DUMPOUT << ", "; itr--; } DUMPOUT << "}"; return os; } void print() {cout << endl;} template void print(Head&& head, Tail&&... tail) { cout << head; if (sizeof...(tail) != 0) cout << " "; print(forward(tail)...); } void dump_func() {DUMPOUT << '#'< void dump_func(Head &&head, Tail &&... tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(std::move(tail)...); } #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" \ << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif vector tax; template struct doubling{ int sz; vector > parents, maxEdge, minEdge; vector dep; doubling(WeightedGraph &g){ sz = g.size(); parents.resize(21), maxEdge.resize(21), minEdge.resize(21), dep.resize(sz); rep(i, 21) parents[i].resize(sz), maxEdge[i].resize(sz), minEdge[i].resize(sz); queue > q; q.push(make_tuple(0, 0, 0, 0)); //now, pre, cost depth while(!q.empty()){ auto tmp = q.front(); q.pop(); int now = get <0>(tmp), pre = get <1>(tmp), cost = get <2>(tmp), depth = get <3>(tmp); parents[0][now] = pre, maxEdge[0][now] = cost, minEdge[0][now] = cost, dep[now] = depth; for(auto ne: g[now]){ if(ne.F != pre){ q.push(make_tuple(ne.F, now, ne.S, depth+1)); } } } for(int i=1;i<21;i++){ rep(j, sz){ int ma = -INF, mi = INF; parents[i][j] = parents[i-1][j]; maxEdge[i][j] = maxEdge[i-1][j]; minEdge[i][j] = minEdge[i-1][j]; int ne = parents[i][j]; parents[i][j] = parents[i-1][ne]; chmin(minEdge[i][j], minEdge[i-1][ne]); chmax(maxEdge[i][j], maxEdge[i-1][ne]); } } } int getAncestor(int a, int dist){ int now = a; for(int i=19;i>=0;i--) if(dist&(1< dep[b]) swap(a, b); for(int i=19;i>=0;i--) if(((dep[b] - dep[a]) >> i) & 1) b = parents[i][b]; if(a==b) return a; for(int i=19;i>=0;i--) if(parents[i][a] != parents[i][b]) a = parents[i][a], b = parents[i][b]; return parents[0][a]; } int dist(int a, int b){ int anc = lca(a, b); dump(a, b , anc); return dep[a] + dep[b] - 2*dep[anc]; } int getMaxEdge(int a, int b){ //確実にバグがあります int res = 0; int anc = lca(a, b); int now1 = a, now2 = b; int dist1 = dep[a] - dep[anc], dist2 = dep[b] - dep[anc]; for(int i=20;i>=0;i--){ if(dist1&(1LL<=0;i--){ if(dist1&(1LL< eulertour, l, r; EulerTour(UnWeightedGraph &g){ dfs(g); l.resize(g.size(), 1145141919), r.resize(g.size()); rep(i, eulertour.size()){ if(l[eulertour[i]]==1145141919) l[eulertour[i]] = i; r[eulertour[i]] = i; } } void dfs(UnWeightedGraph &g, int now = 0, int mae = -1){ //dump(now); eulertour.pb(now); for(auto e: g[now]){ if(e != mae) { dfs(g, e, now); eulertour.pb(now); } } } }; struct SegTree{ int n; vector node; SegTree(vector v){ int sz = v.size(); n = 1; while(n=0;i--) node[i] = node[2*i+1] + node[2*i+2]; } void add(int number, int val){ number += n-1; node[number] += val; while(number>0){ number=(number-1)/2; node[number] = node[number*2+1] + node[number*2+2]; } } int getsum(int a, int b, int k=0, int l = 0, int r = -1){ if(r<0) r=n; if(r<=a||l>=b) return 0; if(a <= l&& r<=b) return node[k]; int vl = getsum(a, b, 2*k+1, l, (l+r)/2); int vr = getsum(a, b, 2*k+2, (l+r)/2, r); return vl + vr; } }; vector parent; void dfs(int now, int mae, UnWeightedGraph & g){ parent[now] = mae; for(auto e: g[now]) if(mae != e) dfs(e, now, g); } WeightedGraph g; UnWeightedGraph gg; signed main(void) { cin.tie(0); ios::sync_with_stdio(false); int n; cin>>n; g.resize(n), gg.resize(n), parent.resize(n); vector > p(n-1); cin>>p; tax.resize(n); cin>>tax; map ma; rep(i, n-1){ int a = p[i].F, b = p[i].S; g[a].pb({b, tax[b]}); g[b].pb({a, tax[a]}); gg[a].pb(b); gg[b].pb(a); } dfs(0, -1, gg); rep(i, n-1){ int a = p[i].F, b = p[i].S; if(parent[a] == b){ ma[{a, b}] = -tax[a]; ma[{b, a}] = tax[a]; }else { ma[{a, b}] = tax[b]; ma[{b, a}] = -tax[b]; } } EulerTour et(gg); vector etv = et.eulertour; vector tmp(etv.size()); rep(i, etv.size()){ if(i == 0) continue; tmp[i] = ma[{etv[i-1], etv[i]}]; } SegTree seg(tmp); int ans = 0; doubling dou(g); int q; cin>>q; rep(i, q){ int a, b, c; cin>>a>>b>>c; int anc = dou.lca(a, b); /*dump(a, b, anc); dump(seg.getsum( et.l[anc]+1, et.r[a]+1) + seg.getsum(et.l[anc]+1, et.r[b]+1));*/ ans += (seg.getsum( et.l[anc]+1, et.r[a]+1) + seg.getsum(et.l[anc]+1, et.r[b]+1) + tax[anc])*c; } print(ans); }