#define LOCAL #include using namespace std; #pragma region Macros typedef long long ll; typedef __int128_t i128; typedef unsigned int uint; typedef unsigned long long ull; #define ALL(x) (x).begin(), (x).end() template istream& operator>>(istream& is, vector& v) { for (T& x : v) is >> x; return is; } template ostream& operator<<(ostream& os, const vector& v) { for (int i = 0; i < (int)v.size(); i++) { os << v[i] << (i + 1 == (int)v.size() ? "" : " "); } return os; } template ostream& operator<<(ostream& os, const pair& p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream& operator<<(ostream& os, const tuple& t) { os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ')'; return os; } template ostream& operator<<(ostream& os, const tuple& t) { os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ',' << get<3>(t) << ')'; return os; } template ostream& operator<<(ostream& os, const map& m) { os << '{'; for (auto itr = m.begin(); itr != m.end();) { os << '(' << itr->first << ',' << itr->second << ')'; if (++itr != m.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const unordered_map& m) { os << '{'; for (auto itr = m.begin(); itr != m.end();) { os << '(' << itr->first << ',' << itr->second << ')'; if (++itr != m.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const set& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const multiset& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const unordered_set& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const deque& v) { for (int i = 0; i < (int)v.size(); i++) { os << v[i] << (i + 1 == (int)v.size() ? "" : " "); } return os; } void debug_out() { cerr << '\n'; } template void debug_out(Head&& head, Tail&&... tail) { cerr << head; if (sizeof...(Tail) > 0) cerr << ", "; debug_out(move(tail)...); } #ifdef LOCAL #define debug(...) \ cerr << " "; \ cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \ cerr << " "; \ debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif template T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; } template T lcm(T x, T y) { return x / gcd(x, y) * y; } template inline bool chmin(T1& a, T2 b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T1& a, T2 b) { if (a < b) { a = b; return true; } return false; } #pragma endregion /** * @brief modint * @docs docs/modulo/modint.md */ template class modint { using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; public: u32 v; constexpr modint(const i64 x = 0) noexcept : v(x < 0 ? mod - 1 - (-(x + 1) % mod) : x % mod) {} constexpr u32& value() noexcept { return v; } constexpr const u32& value() const noexcept { return v; } constexpr modint operator+(const modint& rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint& rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint& rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint& rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint& operator+=(const modint& rhs) noexcept { v += rhs.v; if (v >= mod) v -= mod; return *this; } constexpr modint& operator-=(const modint& rhs) noexcept { if (v < rhs.v) v += mod; v -= rhs.v; return *this; } constexpr modint& operator*=(const modint& rhs) noexcept { v = (u64)v * rhs.v % mod; return *this; } constexpr modint& operator/=(const modint& rhs) noexcept { return *this *= rhs.pow(mod - 2); } constexpr modint pow(u64 exp) const noexcept { modint self(*this), res(1); while (exp > 0) { if (exp & 1) res *= self; self *= self; exp >>= 1; } return res; } constexpr modint& operator++() noexcept { if (++v == mod) v = 0; return *this; } constexpr modint& operator--() noexcept { if (v == 0) v = mod; return --v, *this; } constexpr modint operator++(int) noexcept { modint t = *this; return ++*this, t; } constexpr modint operator--(int) noexcept { modint t = *this; return --*this, t; } constexpr modint operator-() const noexcept { return modint(mod - v); } template friend constexpr modint operator+(T x, modint y) noexcept { return modint(x) + y; } template friend constexpr modint operator-(T x, modint y) noexcept { return modint(x) - y; } template friend constexpr modint operator*(T x, modint y) noexcept { return modint(x) * y; } template friend constexpr modint operator/(T x, modint y) noexcept { return modint(x) / y; } constexpr bool operator==(const modint& rhs) const noexcept { return v == rhs.v; } constexpr bool operator!=(const modint& rhs) const noexcept { return v != rhs.v; } constexpr bool operator!() const noexcept { return !v; } friend istream& operator>>(istream& s, modint& rhs) noexcept { i64 v; rhs = modint{(s >> v, v)}; return s; } friend ostream& operator<<(ostream& s, const modint& rhs) noexcept { return s << rhs.v; } }; /** * @brief Lazy Segment Tree * @docs docs/datastructure/LazySegmentTree.md */ template struct LazySegmentTree { typedef function F; typedef function G; typedef function H; int n, hi; F f; G g; H h; Monoid id0; OperatorMonoid id1; vector dat; vector laz; LazySegmentTree(int n_, F f, G g, H h, Monoid id0, OperatorMonoid id1) : f(f), g(g), h(h), id0(id0), id1(id1) { init(n_); } void init(int n_) { n = 1, hi = 0; while (n < n_) n <<= 1, hi++; dat.assign(n << 1, id0); laz.assign(n << 1, id1); } void build(const vector& v) { for (int i = 0; i < (int)v.size(); i++) dat[i + n] = v[i]; for (int i = n - 1; i; --i) dat[i] = f(dat[i << 1 | 0], dat[i << 1 | 1]); } inline Monoid reflect(int k) { return laz[k] == id1 ? dat[k] : g(dat[k], laz[k]); } inline void propagate(int k) { if (laz[k] == id1) return; laz[k << 1 | 0] = h(laz[k << 1 | 0], laz[k]); laz[k << 1 | 1] = h(laz[k << 1 | 1], laz[k]); dat[k] = reflect(k); laz[k] = id1; } inline void thrust(int k) { for (int i = hi; i; i--) propagate(k >> i); } inline void recalc(int k) { while (k >>= 1) dat[k] = f(reflect(k << 1 | 0), reflect(k << 1 | 1)); } void update(int a, int b, OperatorMonoid x) { if (a >= b) return; thrust(a += n); thrust(b += n - 1); for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if (l & 1) laz[l] = h(laz[l], x), ++l; if (r & 1) --r, laz[r] = h(laz[r], x); } recalc(a); recalc(b); } void set_val(int k, Monoid x) { thrust(k += n); dat[k] = x, laz[k] = id1; recalc(k); } Monoid query(int a, int b) { if (a >= b) return id0; thrust(a += n); thrust(b += n - 1); Monoid vl = id0, vr = id0; for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if (l & 1) vl = f(vl, reflect(l++)); if (r & 1) vr = f(reflect(--r), vr); } return f(vl, vr); } template int find_subtree(int k, const C& check, Monoid& M, bool type) { while (k < n) { propagate(k); Monoid nxt = type ? f(reflect(k << 1 | type), M) : f(M, reflect(k << 1 | type)); if (check(nxt)) k = k << 1 | type; else M = nxt, k = k << 1 | (type ^ 1); } return k - n; } // min i s.t. f(seg[a],seg[a+1],...,seg[i]) satisfy "check" template int find_first(int a, const C& check) { Monoid L = id0; if (a <= 0) { if (check(f(L, reflect(1)))) return find_subtree(1, check, L, false); return -1; } thrust(a + n); int b = n; for (int l = a + n, r = b + n; l < r; l >>= 1, r >>= 1) { if (l & 1) { Monoid nxt = f(L, reflect(l)); if (check(nxt)) return find_subtree(l, check, L, false); L = nxt; l++; } } return -1; } // max i s.t. f(seg[i],...,seg[b-2],seg[b-1]) satisfy "check" template int find_last(int b, const C& check) { Monoid R = id0; if (b >= n) { if (check(f(reflect(1), R))) return find_subtree(1, check, R, true); return -1; } thrust(b + n - 1); int a = n; for (int l = a, r = b + n; l < r; l >>= 1, r >>= 1) { if (r & 1) { Monoid nxt = f(reflect(--r), R); if (check(nxt)) return find_subtree(r, check, R, true); R = nxt; } } return -1; } Monoid operator[](int i) { return query(i, i + 1); } }; const int INF = 1e9; const long long IINF = 1e18; const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; const char dir[4] = {'D', 'R', 'U', 'L'}; // const long long MOD = 1000000007; const long long MOD = 998244353; using mint = modint; using T = array; using PATH = pair, pair>; int main() { cin.tie(0); ios::sync_with_stdio(false); int N; cin >> N; vector A(N); cin >> A; auto f = [](T a, T b) { T res; for (int i = 0; i < 5; i++) res[i] = a[i] + b[i]; return res; }; auto g = [](T a, int x) { T res; res[0] = a[0]; mint prod = x; for (int i = 1; i < 5; i++, prod *= x) res[i] = prod * res[0]; return res; }; auto h = [](int x, int y) { return y; }; T init; LazySegmentTree seg(N, f, g, h, init, -1); init[0] = 1; for (int i = 0; i < N; i++) { init[1] = A[i]; for (int j = 2; j < 5; j++) init[j] = init[j - 1] * A[i]; seg.set_val(i, init); } auto range = [&](int u, int v, int w) -> PATH { if (u > v) swap(u, v); if (u < w && w < v) return {{u, v + 1}, {-1, -1}}; return {{0, u + 1}, {v, N}}; }; auto update = [&](PATH p, int B) { seg.update(p.first.first, p.first.second, B); if (~p.second.first) seg.update(p.second.first, p.second.second, B); }; auto query = [&](PATH p, int t) -> mint { int a = p.first.first, b = p.first.second, c = p.second.first, d = p.second.second; int L = (b - a) + (d - c); auto res = f(seg.query(a, b), seg.query(c, d)); mint M = res[1] / L; if (t == 1) return 0; mint sum = 0; if (t == 2) { sum += res[2]; sum -= 2 * M * res[1]; sum += M * M * L; } else if (t == 3) { sum += res[3]; sum -= 3 * M * res[2]; sum += 3 * M * M * res[1]; sum -= M * M * M * L; } else { sum += res[4]; sum -= 4 * M * res[3]; sum += 6 * M * M * res[2]; sum -= 4 * M * M * M * res[1]; sum += M * M * M * M * L; } return sum / L; }; int Q; cin >> Q; for (; Q--;) { int t, U, V, W; cin >> t >> U >> V >> W; auto p = range(--U, --V, --W); if (t == 0) { int B; cin >> B; update(p, B); } else { cout << query(p, t) << '\n'; } } return 0; }