#include using namespace std; using LL = long long; using ULL = unsigned long long; #define rep(i,n) for(int i=0; i<(n); i++) const ULL M = 1000000007; struct LC { struct RQV { LL x[4]; }; struct RQRV {}; static RQV Zero() { return { {1,0,0,1} }; } static RQRV RZero() { return {}; } // addition static RQV f(RQV a, RQV b) { return { a.x[0] * b.x[0] + a.x[1] * b.x[2], a.x[0] * b.x[1] + a.x[1] * b.x[3], a.x[2] * b.x[0] + a.x[3] * b.x[2], a.x[2] * b.x[1] + a.x[3] * b.x[3] }; } // update function static void uf(RQV& a, RQV b) { a = b; } // effect of range queries static void ef(RQV& a, RQRV b) {} // range query update static void ruf(RQRV& a, RQRV b) {} struct Node { int l, r, p; RQV V, S; RQRV R; }; static Node Nil() { return { -1,-1,-1,Zero(),Zero(),RZero() }; } vector V; void init(int n) { V.assign(n, Node{ -1,-1,-1,Zero(),Zero(),RZero() }); } Node get(int v) { if (v == -1) return Nil(); return V[v]; } void fix(int v) { V[v].S = f(f(get(V[v].r).S, V[v].V), get(V[v].l).S); ef(V[v].S, V[v].R); } void spread(int v) { ef(V[v].V, V[v].R); if (V[v].l != -1) { ef(V[V[v].l].S, V[v].R); ruf(V[V[v].l].R, V[v].R); } if (V[v].r != -1) { ef(V[V[v].r].S, V[v].R); ruf(V[V[v].r].R, V[v].R); } V[v].R = RZero(); } int rotL(int v) { int w = V[v].r; spread(v); spread(w); if (V[v].p != -1) { if (V[V[v].p].l == v) V[V[v].p].l = w; if (V[V[v].p].r == v) V[V[v].p].r = w; } V[w].p = V[v].p; V[v].p = w; if (V[w].l != -1) V[V[w].l].p = v; V[v].r = V[w].l; V[w].l = v; fix(v); fix(w); return w; } int rotR(int v) { int w = V[v].l; spread(v); spread(w); if (V[v].p != -1) { if (V[V[v].p].l == v) V[V[v].p].l = w; if (V[V[v].p].r == v) V[V[v].p].r = w; } V[w].p = V[v].p; V[v].p = w; if (V[w].r != -1) V[V[w].r].p = v; V[v].l = V[w].r; V[w].r = v; fix(v); fix(w); return w; } void splay(int v) { fix(v); while (true) { int p = V[v].p; if (p == -1) break; if (V[p].l == v) { if (V[p].p == -1) { rotR(p); } else if (V[V[p].p].l == p) { rotR(V[p].p); rotR(p); } else if (V[V[p].p].r == p) { rotR(p); rotL(V[v].p); } else { rotR(p); } } else if (V[p].r == v) { if (V[p].p == -1) { rotL(p); } else if (V[V[p].p].r == p) { rotL(V[p].p); rotL(p); } else if (V[V[p].p].l == p) { rotL(p); rotR(V[v].p); } else { rotL(p); } } else break; } spread(v); } void splayLC(int v) { int i = v; while (i != -1) { splay(i); i = V[i].p; } i = v; while (V[i].p != -1) { V[V[i].p].l = i; i = V[i].p; } splay(v); } void link(int v, int p) { splayLC(v); splayLC(p); V[v].p = p; } void cut(int v) { splayLC(v); V[V[v].r].p = -1; V[v].r = -1; } int lca(int u, int v) { if (u == v) return u; splayLC(u); splayLC(v); if (V[u].p == -1) return -1; int p = u, ans = u; while (V[p].p != -1) { if (V[p].p == v) if (V[v].l == p) return v; int pp = V[p].p; if (V[pp].l != p && V[pp].r != p) ans = pp; p = pp; } return ans; } void upd(int v, RQV x) { splayLC(v); uf(V[v].V, x); fix(v); } void updr(int r, int v, RQRV x, bool in_r) { splayLC(v); if (v == r) { if (in_r) { ef(V[r].V, x); fix(r); } return; } while (V[r].p != -1) { if (V[V[r].p].l == r) rotR(V[r].p); else rotL(V[r].p); } if (V[v].r != -1) { ruf(V[V[v].r].R, x); fix(V[v].r); } ef(V[v].V, x); fix(v); if (in_r) ef(V[r].V, x); fix(r); } RQV query(int r, int v, bool in_r) { splayLC(v); if (v == r) { if (in_r) { return V[r].V; } return Zero(); } while (V[r].p != -1) { if (V[V[r].p].l == r) rotR(V[r].p); else rotL(V[r].p); } RQV ans = V[v].V; if (V[v].r != -1) { ans = f(V[V[v].r].S, ans); } if (in_r) ans = f(V[r].V, ans); return ans; } }; int N; int I[99999]; vector> E[100000]; LC G; void dfs(int p = 0, int pp = -1) { for (auto e : E[p]) { if (e.first == pp) continue; dfs(e.first, p); G.link(e.first, p); I[e.second] = e.first; } } int main() { cin >> N; rep(i, N - 1) { int u, v; cin >> u >> v; E[u].push_back({ v,i }); E[v].push_back({ u,i }); } G.init(N); dfs(); int Q; cin >> Q; rep(q, Q) { char c; cin >> c; if (c == 'x') { int i; LC::RQV x; cin >> i; rep(j, 4) cin >> x.x[j]; G.upd(I[i], x); } if (c == 'g') { int i, j; cin >> i >> j; auto ans = G.query(i, j, false); rep(t, 4) { if (t) cout << " "; cout << ans.x[t]; } cout << endl; } } return 0; }