import sys if sys.platform =='ios': import clipboard a=clipboard.get() a = a.split('\n') text = '\n'.join(a) with open('input_file.txt','w') as f: f.write(text) sys.stdin = open('input_file.txt') sys.setrecursionlimit(410000000) stdin = sys.stdin def ni():return int(ns()) def na():return list(map(int, stdin.readline().split())) def ns():return stdin.readline().strip() def nm():return map(int,input().split()) def na_1():return list(map(lambda x:int(x)*(-1), stdin.readline().split())) def na_2():return list(map(lambda x:int(x)-1, stdin.readline().split())) rnage=range rnge=range rage = range rnag=range from collections import * from bisect import * from math import * from heapq import * from itertools import * def popcount(n): c=(n&0x5555555555555555)+((n>>1)&0x5555555555555555) c=(c&0x3333333333333333)+((c>>2)&0x3333333333333333) c=(c&0x0f0f0f0f0f0f0f0f)+((c>>4)&0x0f0f0f0f0f0f0f0f) c=(c&0x00ff00ff00ff00ff)+((c>>8)&0x00ff00ff00ff00ff) c=(c&0x0000ffff0000ffff)+((c>>16)&0x0000ffff0000ffff) c=(c&0x00000000ffffffff)+((c>>32)&0x00000000ffffffff) return c """ mod = 10**9+7 M= (10**5)*3+1 fac= [1]*M ninv= [1]*M finv= [1]*M for i in range(2,M): fac[i] = fac[i-1]*i%mod ninv[i] = (-(mod//i)*ninv[mod%i])%mod finv[i] = finv[i-1]*ninv[i]%mod def binom(n,k): if n<0 or k<0: return 0 if k>n: return 0 return (fac[n]*finv[k]%mod)*finv[n-k]%mod def nHk(n, k): return binom(n + k - 1, k) """ def nCk(n, k): k = min(k, n - k) ret = 1 for i in range(n, n - k, -1): ret *= i for i in range(2, k + 1): ret //= i return ret def nHk(n, k): return nCk(n + k - 1, k) def nC2(x): return x*(x-1)//2 def is_prime(n): if n == 1: return False for k in range(2, int(math.sqrt(n)) + 1): if n % k == 0: return False return True class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n self.group = n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return self.group -= 1 if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def size(self, x): return -self.parents[self.find(x)] def same(self, x, y): return self.find(x) == self.find(y) def members(self, x): root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] def roots(self): return [i for i, x in enumerate(self.parents) if x < 0] def group_count(self): return self.group def all_group_members(self): dic = {r:[] for r in self.roots()} for i in range(self.n): dic[self.find(i)].append(i) return dic def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) class SOE: def __init__(self,m): self.sieve=[-1]*(m+1) self.prime=[] for i in range(2,m+1): if self.sieve[i]==-1: self.prime.append(i) self.sieve[i]=i j=2*i while j<=m: self.sieve[j]=i j+=i def primes(self): # get primes return self.prime def fact(self,n): # prime factorization d=[] while n!=1: p=self.sieve[n] d.append(p) while n%p==0: n//=p return d def div(n): lower,upper = [],[] i = 1 while i*i <= n: if n%i == 0: lower.append(i) if i!=n//i: upper.append(n//i) i += 1 return lower+upper[::-1] def factorize(x): yaku = [] for i in range(2,int(x**0.5)+1): if x%i == 0: while x%i == 0: x //= i yaku.append(i) if x != 1: yaku.append(x) return yaku #[2,3]この形 def fact(n): res=n a=[] i=2 while i*i<=res: if res%i==0: cnt=0 while res%i==0: cnt+=1 res//=i a.append((i,cnt)) i+=1 if res!=1: a.append((res,1)) return a """ [(2, 1), (3, 1)]この形 """ def nc2(x): return (x*(x-1)//2) import random class RollingHash: mask30 = (1 << 30) - 1 mask31 = (1 << 31) - 1 MOD = (1 << 61) - 1 Base = None pw = [1] def __init__(self, S): if RollingHash.Base is None: RollingHash.Base = random.randrange(129, 1 << 30) for i in range(len(RollingHash.pw), len(S) + 1): RollingHash.pw.append(RollingHash.CalcMod(RollingHash.Mul(RollingHash.pw[i - 1], self.__class__.Base))) self.hash = [0] * (len(S) + 1) for i, s in enumerate(S, 1): self.hash[i] = RollingHash.CalcMod(RollingHash.Mul(self.hash[i - 1], RollingHash.Base) + ord(s)) def get(self, l, r): return RollingHash.CalcMod(self.hash[r] - RollingHash.Mul(self.hash[l], RollingHash.pw[r - l])) def Mul(l, r): lu = l >> 31 ld = l & RollingHash.mask31 ru = r >> 31 rd = r & RollingHash.mask31 middlebit = ld * ru + lu * rd return ((lu * ru) << 1) + ld * rd + \ ((middlebit & RollingHash.mask30) << 31) + (middlebit >> 30) def CalcMod(val): if val < 0: val %= RollingHash.MOD val = (val & RollingHash.MOD) + (val >> 61) if val > RollingHash.MOD: val -= RollingHash.MOD return val # https://github.com/tatyam-prime/SortedSet/blob/main/SortedMultiset.py import math from bisect import bisect_left, bisect_right, insort from typing import Generic, Iterable, Iterator, TypeVar, Optional, List T = TypeVar('T') class SortedMultiset(Generic[T]): BUCKET_RATIO = 50 REBUILD_RATIO = 170 def _build(self, a=None) -> None: "Evenly divide `a` into buckets." if a is None: a = list(self) size = self.size = len(a) bucket_size = int(math.ceil(math.sqrt(size / self.BUCKET_RATIO))) self.a = [a[size * i // bucket_size : size * (i + 1) // bucket_size] for i in range(bucket_size)] def __init__(self, a: Iterable[T] = []) -> None: "Make a new SortedMultiset from iterable. / O(N) if sorted / O(N log N)" a = list(a) if not all(a[i] <= a[i + 1] for i in range(len(a) - 1)): a = sorted(a) self._build(a) def __iter__(self) -> Iterator[T]: for i in self.a: for j in i: yield j def __reversed__(self) -> Iterator[T]: for i in reversed(self.a): for j in reversed(i): yield j def __len__(self) -> int: return self.size def __repr__(self) -> str: return "SortedMultiset" + str(self.a) def __str__(self) -> str: s = str(list(self)) return "{" + s[1 : len(s) - 1] + "}" def _find_bucket(self, x: T) -> List[T]: "Find the bucket which should contain x. self must not be empty." for a in self.a: if x <= a[-1]: return a return a def __contains__(self, x: T) -> bool: if self.size == 0: return False a = self._find_bucket(x) i = bisect_left(a, x) return i != len(a) and a[i] == x def count(self, x: T) -> int: "Count the number of x." return self.index_right(x) - self.index(x) def add(self, x: T) -> None: "Add an element. / O(√N)" if self.size == 0: self.a = [[x]] self.size = 1 return a = self._find_bucket(x) insort(a, x) self.size += 1 if len(a) > len(self.a) * self.REBUILD_RATIO: self._build() def discard(self, x: T) -> bool: "Remove an element and return True if removed. / O(√N)" if self.size == 0: return False a = self._find_bucket(x) i = bisect_left(a, x) if i == len(a) or a[i] != x: return False a.pop(i) self.size -= 1 if len(a) == 0: self._build() return True def lt(self, x: T) -> Optional[T]: "Find the largest element < x, or None if it doesn't exist." for a in reversed(self.a): if a[0] < x: return a[bisect_left(a, x) - 1] def le(self, x: T) -> Optional[T]: "Find the largest element <= x, or None if it doesn't exist." for a in reversed(self.a): if a[0] <= x: return a[bisect_right(a, x) - 1] def gt(self, x: T) -> Optional[T]: "Find the smallest element > x, or None if it doesn't exist." for a in self.a: if a[-1] > x: return a[bisect_right(a, x)] def ge(self, x: T) -> Optional[T]: "Find the smallest element >= x, or None if it doesn't exist." for a in self.a: if a[-1] >= x: return a[bisect_left(a, x)] def __getitem__(self, x: int) -> T: "Return the x-th element, or IndexError if it doesn't exist." if x < 0: x += self.size if x < 0: raise IndexError for a in self.a: if x < len(a): return a[x] x -= len(a) raise IndexError def index(self, x: T) -> int: "Count the number of elements < x." ans = 0 for a in self.a: if a[-1] >= x: return ans + bisect_left(a, x) ans += len(a) return ans def index_right(self, x: T) -> int: "Count the number of elements <= x." ans = 0 for a in self.a: if a[-1] > x: return ans + bisect_right(a, x) ans += len(a) return ans oo = 1<<60 ans = 0 cnt = 0 res = oo def dijkstra(n, s, G): hq = [(0, s)] cost = [float('inf')] * n cost[s] = 0 while hq: if c > cost[v]: continue for nv,d in G[v]: tmp = d + cost[v] if tmp < cost[nv]: cost[nv] = tmp heappush(hq, (tmp,nv)) return cost class Topological_Sort: def __init__(self, N: int): """ N 頂点からなる空グラフを用意する. N: int """ self.N=N self.arc=[[] for _ in range(N)] self.rev=[[] for _ in range(N)] def add_arc(self, source: int, target: int): """ 有向辺 source → taeget を追加する. """ self.arc[source].append(target) self.rev[target].append(source) def sort(self): """ トポロジカルソートを求める. [Ouput] 存在する → トポロジカルソート 存在しない → None """ in_deg=[len(self.rev[x]) for x in range(self.N)] Q=[x for x in range(self.N) if in_deg[x]==0] S=[] while Q: u=Q.pop() S.append(u) for v in self.arc[u]: in_deg[v]-=1 if in_deg[v]==0: Q.append(v) return S if len(S)==self.N else None def is_DAG(self): """ DAG かどうかを判定する. """ return self.sort()!=None """ class LowestCommonAncestor: def __init__(self,n): self._n=n;n=0 while 2**(n/10)self._depth[v]:u,v=v,u #uが浅く、vが深い状態に for k in range(self._logn-1,-1,-1): #vとuを同じ深度に if ((self._depth[v]-self._depth[u])>>k)&1:v=self._ancestor[k][v] if u==v:return u for k in range(self._logn-1,-1,-1): #ギリギリ一致する直前まで祖先を辿る if self._ancestor[k][u]!=self._ancestor[k][v]: u,v=self._ancestor[k][u],self._ancestor[k][v] return self._ancestor[0][u] def distance(self,u,v): return self._distance[u]+self._distance[u]-2*self._distance[self.LCA(u,v)] """ import math class LCA: def __init__(self,n): self._n=n self._logn=int(math.log2(self._n)+2) self._depth=[0]*self._n self._distance=[0]*self._n self._ancestor=[[-1]*self._n for k in range(self._logn)] self._edges=[[] for i in range(self._n)] def add_edge(self,u,v,w=1): self._edges[u].append((v,w)) self._edges[v].append((u,w)) def build(self,root=0): stack=[root] while len(stack): cur = stack.pop() for nxt,w in self._edges[cur]: if self._ancestor[0][nxt]!=cur and self._ancestor[0][cur]!=nxt: self._ancestor[0][nxt]=cur self._depth[nxt]=self._depth[cur]+1 self._distance[nxt]=self._distance[cur]+w stack.append(nxt) for k in range(1,self._logn): for i in range(self._n): if self._ancestor[k-1][i]==-1: self._ancestor[k][i]=-1 else: self._ancestor[k][i]=self._ancestor[k-1][self._ancestor[k-1][i]] def lca(self,u,v): if self._depth[u]>self._depth[v]: u,v=v,u for k in range(self._logn-1,-1,-1): if ((self._depth[v]-self._depth[u])>>k)&1: v=self._ancestor[k][v] if u==v: return u for k in range(self._logn-1,-1,-1): if self._ancestor[k][u]!=self._ancestor[k][v]: u=self._ancestor[k][u] v=self._ancestor[k][v] return self._ancestor[0][u] def distance(self,u,v): return self._distance[u]+self._distance[v]-2*self._distance[self.lca(u,v)] N = ni() tree = LCA(N) for i in range(N-1): a,b,c = nm() tree.add_edge(a,b,c) tree.build() q = ni() for _ in range(q): x,y,z = nm() d1 = tree.distance(x,y) d2 = tree.distance(x,z) Z = tree.lca(y,z) #print(Z) d3 = tree.distance(Z,x) print(d2+d1-d3)