/* -*- coding: utf-8 -*- * * 386.cc: No.386 貪欲な領主 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; const int BN = 17; /* typedef */ typedef long long ll; typedef vector vi; struct Stat { int i, p, d; Stat() {} Stat(int _i, int _p, int _d): i(_i), p(_p), d(_d) {} }; /* global variables */ vi nbrs[MAX_N]; int us[MAX_N], ds[MAX_N], prts[MAX_N][BN]; ll usums[MAX_N]; /* subroutines */ /* main */ int main() { int n; cin >> n; for (int i = 0; i < n - 1; i++) { int ai, bi; cin >> ai >> bi; nbrs[ai].push_back(bi); nbrs[bi].push_back(ai); } for (int i = 0; i < n; i++) cin >> us[i]; ds[0] = 0; prts[0][0] = -1; usums[0] = us[0]; queue q; q.push(Stat(0, -1, 0)); while (! q.empty()) { Stat u = q.front(); q.pop(); vi &nbru = nbrs[u.i]; int vd = u.d + 1; for (vi::iterator vit = nbru.begin(); vit != nbru.end(); vit++) { int &vi = *vit; if (vi != u.p) { ds[vi] = vd; prts[vi][0] = u.i; usums[vi] = usums[u.i] + us[vi]; q.push(Stat(vi, u.i, vd)); } } } for (int i = 1; i < BN; i++) for (int j = 0; j < n; j++) { int &p = prts[j][i - 1]; prts[j][i] = (p < 0) ? -1 : prts[p][i - 1]; } int m; cin >> m; ll sum = 0; while (m--) { int ai, bi, ci; cin >> ai >> bi >> ci; int u = ai, v = bi; if (ds[u] > ds[v]) swap(u, v); for (int i = BN - 1; i >= 0; i--) if (((ds[v] - ds[u]) >> i) & 1) v = prts[v][i]; if (u != v) { for (int i = BN - 1; i >= 0; i--) if (prts[u][i] != prts[v][i]) u = prts[u][i], v = prts[v][i]; u = prts[u][0]; } sum += (usums[ai] + usums[bi] - usums[u] * 2 + us[u]) * ci; } printf("%lld\n", sum); return 0; }