""" Gemini Tree Ver.Jade (3) 想定解 実装方針: DFSを行う。 この時に計算するのは・・・ ・辺のDFS順 ・E_cutに含まれる辺の列挙 ・各子部分木に含まれている 緑/青の 石の個数 ・ラベル (最後に通った E_cut の辺) """ import sys from sys import stdin def segfunc(x,y): return min(x,y) class LazySegTree_RAQ: def __init__(self,init_val,segfunc,ide_ele): n = len(init_val) self.segfunc = segfunc self.ide_ele = ide_ele self.num = 1<<(n-1).bit_length() self.tree = [ide_ele]*2*self.num self.lazy = [0]*2*self.num for i in range(n): self.tree[self.num+i] = init_val[i] for i in range(self.num-1,0,-1): self.tree[i] = self.segfunc(self.tree[2*i], self.tree[2*i+1]) def gindex(self,l,r): l += self.num r += self.num lm = l>>(l&-l).bit_length() rm = r>>(r&-r).bit_length() while r>l: if l<=lm: yield l if r<=rm: yield r r >>= 1 l >>= 1 while l: yield l l >>= 1 def propagates(self,*ids): for i in reversed(ids): v = self.lazy[i] if v==0: continue self.lazy[i] = 0 self.lazy[2*i] += v self.lazy[2*i+1] += v self.tree[2*i] += v self.tree[2*i+1] += v def add(self,l,r,x): ids = self.gindex(l,r) l += self.num r += self.num while l>= 1 l >>= 1 for i in ids: self.tree[i] = self.segfunc(self.tree[2*i], self.tree[2*i+1]) + self.lazy[i] def query(self,l,r): self.propagates(*self.gindex(l,r)) res = self.ide_ele l += self.num r += self.num while l>= 1 r >>= 1 return res N = int(stdin.readline()) s = list(stdin.readline()[:-1]) lis = [ [] for i in range(N) ] elis = [] for i in range(N-1): u,v,w = map(int,stdin.readline().split()) u -= 1 v -= 1 lis[u].append( (v,i) ) lis[v].append( (u,i) ) elis.append( (u,v,w) ) # G < B にする g_all = 0 b_all = 0 for c in s: if c == "G": g_all += 1 else: b_all += 1 if g_all > b_all: for i in range(N): if s[i] == "G": s[i] = "B" else: s[i] = "G" g_all,b_all = b_all,g_all # dfs stk = [0] #スタック serched_edge_num = [0] * N #頂点vから出る何番目の辺まで処理したか is_serched = [False] * N elis_dfs = [] #dfs順に並んだ辺のリスト(in,out で2回記録) visit_edge = [None] * N #どの辺で訪問したか? gnum_child = [0] * N #各子部分木に含まれる緑の石の個数 bnum_child = [0] * N while stk: v = stk[-1] if serched_edge_num[v] == 0: #最初に頂点を訪問した際の処理 is_serched[v] = True if s[v] == "G": gnum_child[v] += 1 else: bnum_child[v] += 1 if serched_edge_num[v] == len(lis[v]): #頂点を去る場合の処理 if len(stk) >= 2: #親がいる場合 p = stk[-2] #親 # gnum,bnumを更新 gnum_child[p] += gnum_child[v] bnum_child[p] += bnum_child[v] # visit edgeを elis_dfsに加える, 1,2項目は親,子の順, 3項目はeidx , 4項目はin/out elis_dfs.append( ( p , v , visit_edge[v] , False) ) stk.pop() else: #探索すべき辺が残っている場合の処理 nexv,eidx = lis[v][serched_edge_num[v]] serched_edge_num[v] += 1 # print (nexv,eidx) if is_serched[nexv]: #親なら飛ばす pass else: stk.append(nexv) elis_dfs.append( (v,nexv,eidx,True) ) visit_edge[nexv] = eidx # print (elis_dfs) # print (gnum_child) # print (bnum_child) # オイラーツアー順に見て、ラベルを付ける label = [None] * N label_stk = [] for p,c,eidx,is_in in elis_dfs: if gnum_child[c]+bnum_child[c] == b_all: #初期地点がラベル付きだったときの対策 if is_in: for p2,c2,_,_ in elis_dfs: label[p2] = eidx if c == c2: break label[c2] = eidx for p2,c2,_,_ in reversed(elis_dfs): label[p2] = eidx if c == c2: break label[c2] = eidx elif gnum_child[c] + bnum_child[c] == g_all: #子部分木のサイズがGの時 if is_in: label_stk.append(eidx) label[c] = eidx else: label_stk.pop() else: if label_stk: label[p] = label[c] = label_stk[-1] # print (label) # eidx -> elis_dfsの該当位置2箇所 を参照できるようにしておく ref_eidx2ed = [ [None,None] for i in range(N-1) ] for i in range(len(elis_dfs)): p,c,eidx,is_in = elis_dfs[i] if is_in: ref_eidx2ed[eidx][0] = i else: ref_eidx2ed[eidx][1] = i # cutできる辺だけ0にしておく first_seg_state = [float("inf")] * (2*N-2) for i,(p,c,eidx,is_in) in enumerate(elis_dfs): if is_in and (gnum_child[c]+bnum_child[c] in (b_all,g_all)): first_seg_state[i] = 0 # セグ木の宣言 (区間加算/区間最小値) seg = LazySegTree_RAQ( first_seg_state , segfunc , float("inf") ) # クエリの処理 Q = int(stdin.readline()) ANS = [] if g_all == 0: for i in range(Q): print (0) sys.exit() for loop in range((N-1) + Q): if loop < N-1: #初期状態もクエリとして処理 eidx,a = loop,elis[loop][2] else: eidx,a = map(int,stdin.readline().split()) eidx -= 1 lidx,ridx = ref_eidx2ed[eidx] #セグ木における区間 p,c,_,_ = elis_dfs[lidx] #今回伸ばす辺の2頂点 if label[p] == label[c] == None: # どちらにもラベルなし seg.add(lidx,ridx,a*(g_all-gnum_child[c])) if lidx > 0: seg.add(0,lidx,a*gnum_child[c]) if ridx < 2*N-2: seg.add(ridx,2*N-2,a*gnum_child[c]) else: if (gnum_child[c] + bnum_child[c]) * 2 < N: g_min_side = gnum_child[c] b_min_side = bnum_child[c] else: g_min_side = g_all - gnum_child[c] b_min_side = b_all - bnum_child[c] nlabel = label[p] if label[p] != None else label[c] nlabel_idx = ref_eidx2ed[nlabel][0] seg.add(0,2*N-2,a*g_min_side) seg.add(nlabel_idx,nlabel_idx+1, a*(b_min_side-g_min_side) ) # クエリだったらANS配列に加える if loop >= N-1: ans = seg.query(0,2*N-2) ANS.append(ans) # print ( p,c,label[p],label[c], [seg.query(i,i+1) for i in range(2*N-2) ] ) print (*ANS,sep="\n")