// lowest common ancestor (LCA) class for undirected weighted tree // 無向重み付きグラフの最小共通祖先 #include using namespace std; class UndirectedWeightedTree { using T = long long int; // Arbitrary data structure (operator+, operator- must be defined) const int INVALID = -1; int V, lgV; int E; int root; vector>> adj; // (nxt_vertex, edge_id) // vector edge; // edges[edge_id] = (vertex_id, vertex_id) vector weight; // w[edge_id] vector par; // parent_vertex_id[vertex_id] vector depth; // depth_from_root[vertex_id] vector acc_weight; // w_sum_from_root[vertex_id] void _fix_root_dfs(int now, int prv, int prv_edge_id) { par[now] = prv; if (prv_edge_id != INVALID) acc_weight[now] = acc_weight[prv] + weight[prv_edge_id]; for (auto nxt : adj[now]) if (nxt.first != prv) { depth[nxt.first] = depth[now] + 1; _fix_root_dfs(nxt.first, now, nxt.second); } } public: UndirectedWeightedTree(int N = 0): V(N), E(0), adj(N) { lgV = 1; while (1 << lgV < V) lgV++; } void add_edge(int u, int v, T w) { adj[u].emplace_back(v, E); adj[v].emplace_back(u, E); // edge.emplace_back(u, v); weight.emplace_back(w); E++; } void fix_root(int r) { root = r; par.resize(V); depth.assign(V, 0); acc_weight.resize(V); _fix_root_dfs(root, INVALID, INVALID); } vector> doubling; void doubling_precalc() { doubling.assign(lgV, vector(V)); doubling[0] = par; for (int d = 0; d < lgV - 1; d++) for (int i = 0; i < V; i++) { if (doubling[d][i] == INVALID) doubling[d + 1][i] = INVALID; else doubling[d + 1][i] = doubling[d][doubling[d][i]]; } } int kth_parent(int x, int k) { for (int d = 0; d < lgV; d++) { if (x == INVALID) return INVALID; if (k & (1 << d)) x = doubling[d][x]; } return x; } int lowest_common_ancestor(int u, int v) { if (depth[u] > depth[v]) swap(u, v); v = kth_parent(v, depth[v] - depth[u]); if (u == v) return u; for (int d = lgV - 1; d >= 0; d--) { if (doubling[d][u] != doubling[d][v]) u = doubling[d][u], v = doubling[d][v]; } return par[u]; } T path_length(int u, int v) { // Not distance, but the sum of weights int r = lowest_common_ancestor(u, v); return (acc_weight[u] - acc_weight[r]) + (acc_weight[v] - acc_weight[r]); } }; #include #define FOR(i, begin, end) for (int i = (begin), i##_end_ = (end); i < i##_end_; i++) #define REP(i, n) FOR(i, 0, n) struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); }; } fast_ios_; int main() { int N; cin >> N; UndirectedWeightedTree g(N); REP(_, N - 1) { int u, v, w; cin >> u >> v >> w; g.add_edge(u, v, w); } g.fix_root(0); g.doubling_precalc(); int Q; cin >> Q; REP(_, Q) { int x, y, z; cin >> x >> y >> z; int xy = g.lowest_common_ancestor(x, y); int xyz = g.lowest_common_ancestor(xy, z); if (xy != xyz) { cout << g.path_length(xy, z) + g.path_length(x, y) << endl; } else { int v = g.lowest_common_ancestor(x, z) + g.lowest_common_ancestor(y, z) - xy; cout << g.path_length(x, y) + g.path_length(z, v) << endl; } } }