#include using namespace std; #define rep(i, n) for (int i = 0; i < (n); i++) #define per(i, n) for (int i = (n)-1; i >= 0; i--) #define rep2(i, l, r) for (int i = (l); i < (r); i++) #define per2(i, l, r) for (int i = (r)-1; i >= (l); i--) #define each(e, v) for (auto &e : v) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template using minheap = priority_queue, greater>; template using maxheap = priority_queue; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } int pct(int x) { return __builtin_popcount(x); } int pct(ll x) { return __builtin_popcountll(x); } int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template void reorder(vector &a, const vector &ord) { int n = a.size(); vector b(n); for (int i = 0; i < n; i++) b[i] = a[ord[i]]; swap(a, b); } template T floor(T x, T y) { assert(y != 0); if (y < 0) x = -x, y = -y; return (x >= 0 ? x / y : (x - y + 1) / y); } template T ceil(T x, T y) { assert(y != 0); if (y < 0) x = -x, y = -y; return (x >= 0 ? (x + y - 1) / y : x / y); } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; constexpr int inf = (1 << 30) - 1; constexpr ll INF = (1LL << 60) - 1; // constexpr int MOD = 1000000007; constexpr int MOD = 998244353; template struct Mod_Int { int x; Mod_Int() : x(0) {} Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} static int get_mod() { return mod; } Mod_Int &operator+=(const Mod_Int &p) { if ((x += p.x) >= mod) x -= mod; return *this; } Mod_Int &operator-=(const Mod_Int &p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int &operator*=(const Mod_Int &p) { x = (int)(1LL * x * p.x % mod); return *this; } Mod_Int &operator/=(const Mod_Int &p) { *this *= p.inverse(); return *this; } Mod_Int &operator++() { return *this += Mod_Int(1); } Mod_Int operator++(int) { Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator--() { return *this -= Mod_Int(1); } Mod_Int operator--(int) { Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator-() const { return Mod_Int(-x); } Mod_Int operator+(const Mod_Int &p) const { return Mod_Int(*this) += p; } Mod_Int operator-(const Mod_Int &p) const { return Mod_Int(*this) -= p; } Mod_Int operator*(const Mod_Int &p) const { return Mod_Int(*this) *= p; } Mod_Int operator/(const Mod_Int &p) const { return Mod_Int(*this) /= p; } bool operator==(const Mod_Int &p) const { return x == p.x; } bool operator!=(const Mod_Int &p) const { return x != p.x; } Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod - 2); } Mod_Int pow(long long k) const { Mod_Int now = *this, ret = 1; for (; k > 0; k >>= 1, now *= now) { if (k & 1) ret *= now; } return ret; } friend ostream &operator<<(ostream &os, const Mod_Int &p) { return os << p.x; } friend istream &operator>>(istream &is, Mod_Int &p) { long long a; is >> a; p = Mod_Int(a); return is; } }; using mint = Mod_Int; template struct Dual_Segment_Tree { using O = typename Operator::V; int n, m, height; vector lazy; Dual_Segment_Tree(int n) : n(n) { m = 1, height = 0; while (m < n) m <<= 1, height++; lazy.assign(2 * m, Operator::id); } inline void eval(int i) { if (i < m && lazy[i] != Operator::id) { lazy[2 * i] = Operator::merge(lazy[2 * i], lazy[i]); lazy[2 * i + 1] = Operator::merge(lazy[2 * i + 1], lazy[i]); lazy[i] = Operator::id; } } inline void thrust(int i) { for (int j = height; j > 0; j--) eval(i >> j); } void update(int l, int r, const O &x) { l = max(l, 0), r = min(r, n); if (l >= r) return; l += m, r += m; thrust(l), thrust(r - 1); while (l < r) { if (l & 1) lazy[l] = Operator::merge(lazy[l], x), l++; if (r & 1) r--, lazy[r] = Operator::merge(lazy[r], x); l >>= 1, r >>= 1; } } O get(int i) { thrust(i + m); return lazy[i + m]; } O operator[](int i) { return get(i); } }; // sum template struct Plus_Monoid { using V = T; static constexpr V merge(const V &a, const V &b) { return a + b; }; static const V id; }; template const T Plus_Monoid::id = 0; // prod template struct Product_Monoid { using V = T; static constexpr V merge(const V &a, const V &b) { return a * b; }; static const V id; }; template const T Product_Monoid::id = 1; // min template struct Min_Monoid { using V = T; static constexpr V merge(const V &a, const V &b) { return min(a, b); }; static const V id; }; template constexpr T Min_Monoid::id = numeric_limits::max() / 2; // max template struct Max_Monoid { using V = T; static constexpr V merge(V a, V b) { return max(a, b); }; static const V id; }; template constexpr T Max_Monoid::id = -(numeric_limits::max() / 2); // 代入 template struct Update_Monoid { using V = T; static constexpr V merge(const V &a, const V &b) { if (a == id) return b; if (b == id) return a; return b; } static const V id; }; template constexpr T Update_Monoid::id = numeric_limits::max(); // min count (T:最大値の型、S:個数の型) template struct Min_Count_Monoid { using V = pair; static constexpr V merge(const V &a, const V &b) { if (a.first < b.first) return a; if (a.first > b.first) return b; return V(a.first, a.second + b.second); } static const V id; }; template constexpr pair Min_Count_Monoid::id = make_pair(numeric_limits::max() / 2, 0); // max count (T:最大値の型、S:個数の型) template struct Max_Count_Monoid { using V = pair; static constexpr V merge(const V &a, const V &b) { if (a.first > b.first) return a; if (a.first < b.first) return b; return V(a.first, a.second + b.second); } static const V id; }; template constexpr pair Max_Count_Monoid::id = make_pair(-(numeric_limits::max() / 2), 0); // 一次関数 ax+b の合成 (左から順に作用) template struct Affine_Monoid { using V = pair; static constexpr V merge(const V &a, const V &b) { return V(a.first * b.first, a.second * b.first + b.second); }; static const V id; }; template const pair Affine_Monoid::id = make_pair(1, 0); // モノイドの直積 template struct Cartesian_Product_Monoid { using V1 = typename Monoid_1::V; using V2 = typename Monoid_2::V; using V = pair; static constexpr V merge(const V &a, const V &b) { return V(Monoid_1::merge(a.first, b.first), Monoid_2::merge(a.second, b.second)); } static const V id; }; template const pair Cartesian_Product_Monoid::id = make_pair(Monoid_1::id, Monoid_2::id); // range add range min template struct Min_Plus_Acted_Monoid { using Monoid = Min_Monoid; using Operator = Plus_Monoid; using M = T; using O = T; static constexpr M merge(const M &a, const O &b) { return a + b; }; }; // range add range max template struct Max_Plus_Acted_Monoid { using Monoid = Max_Monoid; using Operator = Plus_Monoid; using M = T; using O = T; static constexpr M merge(const M &a, const O &b) { return a + b; }; }; // range add range min count (T:最小値の型、S:個数の型) template struct Min_Count_Add_Acted_Monoid { using Monoid = Min_Count_Monoid; using Operator = Plus_Monoid; using M = pair; using O = T; static constexpr M merge(const M &a, const O &b) { return make_pair(a.first + b, a.second); }; }; // range add range max count (T:最大値の型、S:個数の型) template struct Max_Count_Add_Acted_Monoid { using Monoid = Max_Count_Monoid; using Operator = Plus_Monoid; using M = pair; using O = T; static constexpr M merge(const M &a, const O &b) { return make_pair(a.first + b, a.second); }; }; // range add range sum template struct Plus_Plus_Acted_Monoid { using Monoid = Cartesian_Product_Monoid, Plus_Monoid>; using Operator = Plus_Monoid; using M = pair; using O = T; static constexpr M merge(const M &a, const O &b) { return M(a.first + b * a.second, a.second); } }; // range update range sum template struct Plus_Update_Acted_Monoid { using Monoid = Cartesian_Product_Monoid, Plus_Monoid>; using Operator = Update_Monoid; using M = pair; using O = T; static constexpr M merge(const M &a, const O &b) { return b == Operator::id ? a : M(b * a.second, a.second); } }; // range update range min template struct Min_Update_Acted_Monoid { using Monoid = Min_Monoid; using Operator = Update_Monoid; using M = T; using O = T; static constexpr M merge(const M &a, const O &b) { return b == Operator::id ? a : b; } }; // range update range max template struct Max_Update_Acted_Monoid { using Monoid = Max_Monoid; using Operator = Update_Monoid; using M = T; using O = T; static constexpr M merge(const M &a, const O &b) { return b == Operator::id ? a : b; } }; // range affine range sum template struct Plus_Affine_Acted_Monoid { using Monoid = Cartesian_Product_Monoid, Plus_Monoid>; using Operator = Affine_Monoid; using M = pair; using O = pair; static constexpr M merge(const M &a, const O &b) { return M(b.first * a.first + b.second * a.second, a.second); }; }; void solve() { int N, Q; cin >> N >> Q; vector> es(N); rep(i, N - 1) { int u, v; cin >> u >> v; u--, v--; es[u].eb(v), es[v].eb(u); } vector par(N, -1), si(N, 1), root(N, -1), depth(N, 0); vector id(N, -1), l1(N, -1), r1(N, -1), l2(N, -1), r2(N, -1); vector heavy(N, -1); auto dfs = [&](int now, int pre, auto &&dfs) -> int { par[now] = pre; each(e, es[now]) { if (e == pre) continue; depth[e] = depth[now] + 1; si[now] += dfs(e, now, dfs); } return si[now]; }; dfs(0, -1, dfs); int t = 0; id[0] = t++; auto dfs_hld = [&](int now, int pre, bool st, auto &&dfs_hld) -> void { int ma = -1; if (st) root[now] = now; each(e, es[now]) { if (e == pre) continue; if (chmax(ma, si[e])) heavy[now] = e; } l2[now] = t, r2[now] = t + si[now] - 1; if (heavy[now] != -1) { int e = heavy[now]; id[e] = t++; root[e] = (st ? e : root[now]); dfs_hld(e, now, false, dfs_hld); } l1[now] = t, r1[now] = t; each(e, es[now]) { if (e == pre || e == heavy[now]) continue; id[e] = t++; r1[now] = t; } each(e, es[now]) { if (e == pre || e == heavy[now]) continue; dfs_hld(e, now, true, dfs_hld); } }; dfs_hld(0, -1, true, dfs_hld); auto get_path = [&](int u, int v) { vector> ret; while (root[u] != root[v]) { if (depth[root[u]] > depth[root[v]]) swap(u, v); ret.emplace_back(id[root[v]], id[v] + 1); v = par[root[v]]; } if (depth[u] > depth[v]) swap(u, v); ret.emplace_back(id[u], id[v] + 1); return ret; }; // print(id), print(l1), print(r1), print(l2), print(r2); // print(root); vector x(N); rep(i, N) cin >> x[i]; Dual_Segment_Tree> seg(N); while (Q--) { int t, v; cin >> t >> v; v--; if (t == 1) { auto [a, b] = seg[id[v]]; cout << a * x[v] + b << '\n'; } else if (t == 2) { int K; mint a, b; cin >> K >> a >> b; if (par[v] != -1) { int u = par[v]; seg.update(id[u], id[u] + 1, {a, b}); } seg.update(id[v], id[v] + 1, {a, b}); if (heavy[v] != -1) { int u = heavy[v]; seg.update(id[u], id[u] + 1, {a, b}); } seg.update(l1[v], r1[v], {a, b}); } else if (t == 3) { mint a, b; cin >> a >> b; seg.update(l2[v], r2[v], {a, b}); seg.update(id[v], id[v] + 1, {a, b}); } else { int u; mint a, b; cin >> u >> a >> b; u--; for (auto [l, r] : get_path(u, v)) seg.update(l, r, {a, b}); } } } int main() { int T = 1; // cin >> T; while (T--) solve(); }