#include using namespace std; using int64 = long long; //const int mod = 1e9 + 7; const int mod = 998244353; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { if(b < 0)b *= -1; return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } template< int mod > struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static int get_mod() { return mod; } }; using modint = ModInt< mod >; /** * @brief Lazy-Segment-Tree(遅延伝搬セグメント木) * @docs docs/lazy-segment-tree.md */ template< typename Monoid, typename OperatorMonoid, typename F, typename G, typename H > struct LazySegmentTree { int sz, height; vector< Monoid > data; vector< OperatorMonoid > lazy; const F f; const G g; const H h; const Monoid M1; const OperatorMonoid OM0; LazySegmentTree(int n, const F f, const G g, const H h, const Monoid &M1, const OperatorMonoid OM0) : f(f), g(g), h(h), M1(M1), OM0(OM0) { sz = 1; height = 0; while(sz < n) sz <<= 1, height++; data.assign(2 * sz, M1); lazy.assign(2 * sz, OM0); } void set(int k, const Monoid &x) { data[k + sz] = x; } void build() { for(int k = sz - 1; k > 0; k--) { data[k] = f(data[2 * k + 0], data[2 * k + 1]); } } inline void propagate(int k) { if(lazy[k] != OM0) { lazy[2 * k + 0] = h(lazy[2 * k + 0], lazy[k]); lazy[2 * k + 1] = h(lazy[2 * k + 1], lazy[k]); data[k] = apply(k); lazy[k] = OM0; } } inline Monoid apply(int k) { return lazy[k] == OM0 ? data[k] : g(data[k], lazy[k]); } inline void recalc(int k) { while(k >>= 1) data[k] = f(apply(2 * k + 0), apply(2 * k + 1)); } inline void thrust(int k) { for(int i = height; i > 0; i--) propagate(k >> i); } void update(int a, int b, const OperatorMonoid &x) { if(a >= b) return; thrust(a += sz); thrust(b += sz - 1); for(int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if(l & 1) lazy[l] = h(lazy[l], x), ++l; if(r & 1) --r, lazy[r] = h(lazy[r], x); } recalc(a); recalc(b); } Monoid query(int a, int b) { if(a >= b) return M1; thrust(a += sz); thrust(b += sz - 1); Monoid L = M1, R = M1; for(int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if(l & 1) L = f(L, apply(l++)); if(r & 1) R = f(apply(--r), R); } return f(L, R); } Monoid operator[](const int &k) { return query(k, k + 1); } template< typename C > int find_subtree(int a, const C &check, Monoid &M, bool type) { while(a < sz) { propagate(a); Monoid nxt = type ? f(apply(2 * a + type), M) : f(M, apply(2 * a + type)); if(check(nxt)) a = 2 * a + type; else M = nxt, a = 2 * a + 1 - type; } return a - sz; } template< typename C > int find_first(int a, const C &check) { Monoid L = M1; if(a <= 0) { if(check(f(L, apply(1)))) return find_subtree(1, check, L, false); return -1; } thrust(a + sz); int b = sz; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) { Monoid nxt = f(L, apply(a)); if(check(nxt)) return find_subtree(a, check, L, false); L = nxt; ++a; } } return -1; } template< typename C > int find_last(int b, const C &check) { Monoid R = M1; if(b >= sz) { if(check(f(apply(1), R))) return find_subtree(1, check, R, true); return -1; } thrust(b + sz - 1); int a = sz; for(b += sz; a < b; a >>= 1, b >>= 1) { if(b & 1) { Monoid nxt = f(apply(--b), R); if(check(nxt)) return find_subtree(b, check, R, true); R = nxt; } } return -1; } }; template< typename Monoid, typename OperatorMonoid, typename F, typename G, typename H > LazySegmentTree< Monoid, OperatorMonoid, F, G, H > get_lazy_segment_tree (int N, const F &f, const G &g, const H &h, const Monoid &M1, const OperatorMonoid &OM0) { return {N, f, g, h, M1, OM0}; } int main() { int N; cin >> N; vector< modint > A(N); cin >> A; int Q; cin >> Q; using arr = array< modint, 5 >; arr base; for(int i = 0; i < 5; i++) base[i] = 0; auto f = [](const arr &a, const arr &b) { arr md; for(int i = 0; i < 5; i++) md[i] = a[i] + b[i]; return md; }; auto g = [](const arr &a, const arr &b) { arr md = a; for(int i = 1; i < 5; i++)md[i] = b[i] * a[0]; return md; }; auto h = [](const arr &a, const arr &b) { return b; }; auto seg = get_lazy_segment_tree(N, f, g, h, base, base); for(int i = 0; i < N; i++) { arr v; v[0] = 1; modint a = A[i]; for(int j = 1; j < 5; j++) { v[j] = a; a *= A[i]; } seg.set(i, v); } seg.build(); while(Q--) { int t, u, v, w; cin >> t >> u >> v >> w; --u, --v, --w; if(u > v) { swap(u, v); } if(t == 0) { modint b; cin >> b; arr vv; vv[0] = 0; modint a = b; for(int j = 1; j < 5; j++) { vv[j] = a; a *= b; } if(u < w and w < v) { seg.update(u, v + 1, vv); } else { seg.update(0, u + 1, vv); seg.update(v, N, vv); } } else { arr ans = base; if(u < w and w < v) { ans = f(ans, seg.query(u, v + 1)); } else { ans = f(ans, seg.query(0, u + 1)); ans = f(ans, seg.query(v, N)); } modint l = ans[0]; modint m = ans[1] / l; if(t == 1) { cout << (ans[1] - m * l) / l << "\n"; } else if(t == 2) { cout << (ans[2] - ans[1] * m * 2 + m * m * l) / l << "\n"; } else if(t == 3) { cout << (ans[3] - ans[2] * m * 3 + ans[1] * m * m * 3 - m * m * m * l) / l << "\n"; } else { cout << (ans[4] - ans[3] * m * 4 + ans[2] * m * m * 6 - ans[1] * m * m * m * 4 + m * m * m * m * l) / l << "\n"; } } } }