#!/usr/bin/ python3.8 # %% import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines import numpy as np N = int(readline()) graph = [[] for _ in range(N + 1)] for _ in range(N - 1): a, b = map(int, readline().split()) a += 1 b += 1 graph[a].append(b) graph[b].append(a) cost = (0,) + tuple(int(readline()) for _ in range(N)) Q = int(readline()) ABM = np.array(read().split(), np.int64) A = ABM[::3] + 1 B = ABM[1::3] + 1 M = ABM[2::3] def EulerTour(graph, root=1): V = len(graph) par = [0] * V depth = [0] * V dist = [0] * V dist[1] = cost[1] depth[root] = 0 tour = [root] st = [root] while st: x = st[-1] if not graph[x]: st.pop() tour.append(par[x]) continue y = graph[x].pop() if y == par[x]: continue par[y] = x depth[y] = depth[x] + 1 dist[y] = dist[x] + cost[y] st.append(y) tour.append(y) return par, tour, depth, dist par, tour, depth, dist = EulerTour(graph) Ltour = len(tour) tour_arr = np.array(tour) depth_arr = np.array(depth) tour_d = depth_arr[tour_arr] idx = np.arange(len(depth)) idx[tour_arr] = np.arange(Ltour) sp = np.empty((Ltour.bit_length(), Ltour), np.int32) sp[0] = np.arange(Ltour) for n in range(1, Ltour.bit_length()): prev, width = sp[n - 1], 1 << (n - 1) x = prev[:-width] y = prev[width:] condition = tour_d[x] > tour_d[y] sp[n] = prev sp[n, :-width][condition] = y[condition] def LCA(A, B): AB = np.vstack([A, B]).T LR = idx[AB] LR.sort(axis=1) # [L,R] におけるRmQ L = LR[:, 0] R = LR[:, 1] x = R - L n = np.zeros_like(x) # 2^n <= R-L for _ in range(20): x >>= 1 n[x > 0] += 1 x = sp[n, L] y = sp[n, R - (1 << n) + 1] return np.where(tour_d[x] < tour_d[y], tour_arr[x], tour_arr[y]) C = LCA(A, B) dist = np.array(dist) cost = np.array(cost) answer = ((dist[A] + dist[B] - 2 * dist[C] + cost[C]) * M).sum() print(answer)