#include using namespace std; typedef long long ll; #define pb(x) push_back(x) #define mp(a, b) make_pair(a, b) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define lscan(x) scanf("%I64d", &x) #define lprint(x) printf("%I64d", x) #define rep(i, n) for (ll i = 0; i < (n); i++) #define rep2(i, n) for (ll i = (ll)n - 1; i >= 0; i--) #define REP(i, l, r) for (ll i = l; i < (r); i++) #define REP2(i, l, r) for (ll i = (ll)r - 1; i >= (l); i--) #define siz(x) (ll)x.size() template using rque = priority_queue, greater>; const ll mod = 998244353; template bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; } template bool chmax(T &a, const T &b) { if (b > a) { a = b; return 1; } return 0; } ll gcd(ll a, ll b) { if(a == 0) return b; if(b == 0) return a; ll c = a % b; while (c != 0) { a = b; b = c; c = a % b; } return b; } long long extGCD(long long a, long long b, long long &x, long long &y) { if (b == 0) { x = 1; y = 0; return a; } long long d = extGCD(b, a % b, y, x); y -= a / b * x; return d; } struct UnionFind { vector data; int num; UnionFind(int sz) { data.assign(sz, -1); num = sz; } bool unite(int x, int y) { x = find(x), y = find(y); if (x == y) return (false); if (data[x] > data[y]) swap(x, y); data[x] += data[y]; data[y] = x; num--; return (true); } int find(int k) { if (data[k] < 0) return (k); return (data[k] = find(data[k])); } ll size(int k) { return (-data[find(k)]); } }; ll M = 1000000007; template 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(t); return (is); } static int get_mod() { return mod; } }; using mint = ModInt; mint mpow(mint x, ll n) { mint ans = 1; while (n != 0) { if (n & 1) ans *= x; x *= x; n = n >> 1; } return ans; } ll mpow2(ll x, ll n, ll mod) { ll ans = 1; while (n != 0) { if (n & 1) ans = ans * x % mod; x = x * x % mod; n = n >> 1; } return ans; } vector fac; vector ifac; void setcomb(int sz = 2000010) { fac.assign(sz + 1, 0); ifac.assign(sz + 1, 0); fac[0] = 1; for (ll i = 0; i < sz; i++) { fac[i + 1] = fac[i] * (i + 1); // n!(mod M) } ifac[sz] = fac[sz].inverse(); for (ll i = sz; i > 0; i--) { ifac[i - 1] = ifac[i] * i; } } mint comb(ll a, ll b) { if(fac.size() == 0) setcomb(); if (a == 0 && b == 0) return 1; if (a < b || a < 0) return 0; return ifac[a - b] * ifac[b] * fac[a]; } mint perm(ll a, ll b) { if(fac.size() == 0) setcomb(); if (a == 0 && b == 0) return 1; if (a < b || a < 0) return 0; return fac[a] * ifac[a - b]; } long long modinv(long long a) { long long b = M, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= M; if (u < 0) u += M; return u; } ll modinv2(ll a, ll mod) { ll b = mod, u = 1, v = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= mod; if (u < 0) u += mod; return u; } template struct LazySegmentTree { using F = function; using G = function; using H = function; int sz, height; vector data; vector 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] = reflect(k); lazy[k] = OM0; } } inline Monoid reflect(int k) { return lazy[k] == OM0 ? data[k] : g(data[k], lazy[k]); } inline void recalc(int k) { while (k >>= 1) data[k] = f(reflect(2 * k + 0), reflect(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) { 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) { 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, reflect(l++)); if (r & 1) R = f(reflect(--r), R); } return f(L, R); } Monoid operator[](const int &k) { return query(k, k + 1); } template int find_subtree(int a, const C &check, Monoid &M, bool type) { while (a < sz) { propagate(a); Monoid nxt = type ? f(reflect(2 * a + type), M) : f(M, reflect(2 * a + type)); if (check(nxt)) a = 2 * a + type; else M = nxt, a = 2 * a + 1 - type; } return a - sz; } template int find_first(int a, const C &check) { Monoid L = M1; if (a <= 0) { if (check(f(L, reflect(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, reflect(a)); if (check(nxt)) return find_subtree(a, check, L, false); L = nxt; ++a; } } return -1; } template int find_last(int b, const C &check) { Monoid R = M1; if (b >= sz) { if (check(f(reflect(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(reflect(--b), R); if (check(nxt)) return find_subtree(b, check, R, true); R = nxt; } } return -1; } }; int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); ll n; cin >> n; ll a[n]; rep(i, n) cin >> a[i]; ll q; cin >> q; auto f = [](pair a, pair b){ return mp(a.first + b.first, a.second + b.second); }; auto g = [](pair a, pair x){if (x.second) return mp(a.second * x.first, a.second); else return a;}; auto h = [](pair a, pair x){ return x; }; LazySegmentTree, pair> seg1(n, f, g, h, {0, 0}, {0, 0}); LazySegmentTree, pair> seg2(n, f, g, h, {0, 0}, {0, 0}); LazySegmentTree, pair> seg3(n, f, g, h, {0, 0}, {0, 0}); LazySegmentTree, pair> seg4(n, f, g, h, {0, 0}, {0, 0}); rep(i,n){ mint p[5]; p[0] = 1; rep(j, 4) p[j + 1] = p[j] * a[i]; seg1.set(i, {p[1], 1}); seg2.set(i, {p[2], 1}); seg3.set(i, {p[3], 1}); seg4.set(i, {p[4], 1}); } seg1.build(), seg2.build(), seg3.build(), seg4.build(); rep(i, q){ ll type, u, v, w; cin >> type >> u >> v >> w; u--, v--, w--; if (u > v) swap(u, v); bool flag = (w < u || v < w); if (type == 0){ ll b; cin >> b; mint p[5]; p[0] = 1; rep(j, 4) p[j + 1] = p[j] * b; if(flag){ seg1.update(v, n, {p[1], 1}); seg2.update(v, n, {p[2], 1}); seg3.update(v, n, {p[3], 1}); seg4.update(v, n, {p[4], 1}); seg1.update(0, u+1, {p[1], 1}); seg2.update(0, u+1, {p[2], 1}); seg3.update(0, u+1, {p[3], 1}); seg4.update(0, u+1, {p[4], 1}); } else{ seg1.update(u, v+1, {p[1], 1}); seg2.update(u, v+1, {p[2], 1}); seg3.update(u, v+1, {p[3], 1}); seg4.update(u, v+1, {p[4], 1}); } } else{ mint len; if(flag) len = n - v + u + 1; else len = v + 1 - u; mint sum[5] = {}; if(flag){ sum[1] = seg1.query(v, n).first + seg1.query(0, u + 1).first; sum[2] = seg2.query(v, n).first + seg2.query(0, u + 1).first; sum[3] = seg3.query(v, n).first + seg3.query(0, u + 1).first; sum[4] = seg4.query(v, n).first + seg4.query(0, u + 1).first; } else{ sum[1] = seg1.query(u, v + 1).first; sum[2] = seg2.query(u, v + 1).first; sum[3] = seg3.query(u, v + 1).first; sum[4] = seg4.query(u, v + 1).first; } mint m = sum[1] / len; mint m_pow[5]; m_pow[0] = 1; rep(j, 4) m_pow[j + 1] = m_pow[j] * m; mint res; if(type == 1) res = 0; if(type == 2) res = sum[2] - sum[1] * m * 2 + m_pow[2] * len; if (type == 3) res = sum[3] - sum[2] * m * 3 + sum[1] * m_pow[2] * 3 - m_pow[3] * len; if (type == 4) res = sum[4] - sum[3] * m * 4 + sum[2] * m_pow[2] * 6 - sum[1] * m_pow[3] * 4 + m_pow[4] * len; res /= len; cout << res << endl; } } }