class SegTree: def __init__(self, init_val, ide_ele, segfunc): self.n = len(init_val) self.num = 2**(self.n-1).bit_length() self.ide_ele = ide_ele self.segfunc = segfunc self.seg = [ide_ele]*2*self.num # set_val for i in range(self.n): self.seg[i+self.num] = init_val[i] # built for i in range(self.num-1, 0, -1): self.seg[i] = self.segfunc(self.seg[2*i], self.seg[2*i+1]) def update(self, k, x): k += self.num self.seg[k] = x while k: k = k >> 1 self.seg[k] = self.segfunc(self.seg[2*k], self.seg[2*k+1]) def query(self, l, r): if r <= l: return self.ide_ele l += self.num r += self.num res = self.ide_ele while l < r: if r & 1: r -= 1 res = self.segfunc(res, self.seg[r]) if l & 1: res = self.segfunc(res, self.seg[l]) l += 1 l = l >> 1 r = r >> 1 return res def segfunc(x, y): if x <= y: return x else: return y ide_ele = 10**18 class LCA: def __init__(self, g, root): # g: adjacency list # root self.n = len(g) self.root = root s = [self.root] self.parent = [-1]*self.n self.child = [[] for _ in range(self.n)] self.order = [] visit = [-1]*self.n visit[self.root] = 0 while s: v = s.pop() self.order.append(v) for u in g[v]: if visit[u] == -1: self.parent[u] = v self.child[v].append(u) visit[u] = 0 s.append(u) self.order.reverse() # Euler tour tank = [self.root] self.eulerTour = [] self.left = [0]*self.n self.right = [-1]*self.n self.depth = [-1]*self.n eulerNum = -1 de = -1 while tank: v = tank.pop() if v >= 0: eulerNum += 1 self.eulerTour.append(v) self.left[v] = eulerNum self.right[v] = eulerNum tank.append(~v) de += 1 self.depth[v] = de for u in self.child[v]: tank.append(u) else: de -= 1 if ~v != self.root: self.eulerTour.append(self.parent[~v]) eulerNum += 1 self.right[self.parent[~v]] = eulerNum #A = [self.depth[e] for e in self.eulerTour] A = [0]*(2*self.n-1) for i, e in enumerate(self.eulerTour): A[i] = self.depth[e]*(2*self.n-1)+i self.seg = SegTree(A, ide_ele, segfunc) def getLCA(self, u, v): # u, v: 0-indexed p = min(self.left[u], self.left[v]) q = max(self.right[u], self.left[v])+1 m = self.seg.query(p, q) return self.eulerTour[m%(2*self.n-1)] import sys import io, os input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline n = int(input()) g = [[] for i in range(n)] for i in range(n-1): a, b = map(int, input().split()) g[a].append(b) g[b].append(a) U = [int(input()) for i in range(n)] lca = LCA(g, 0) order = lca.order parent = lca.parent m = int(input()) C = [0]*(n+1) for i in range(m): a, b, c = map(int, input().split()) l = lca.getLCA(a, b) C[a] += c C[b] += c C[l] -= c C[parent[l]] -= c for v in order: C[parent[v]] += C[v] ans = 0 for i in range(n): ans += U[i]*C[i] print(ans)