#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; template struct modint { private: unsigned int value; static constexpr int mod() {return m;} public: constexpr modint(const long long x = 0) noexcept { long long y = x; if(y < 0 || y >= mod()) { y %= mod(); if(y < 0) y += mod(); } value = (unsigned int)y; } static constexpr int get_mod() noexcept {return m;} static constexpr int primitive_root() noexcept { assert(m == 998244353); return 3; } constexpr unsigned int val() noexcept {return value;} constexpr modint &operator+=(const modint &other) noexcept { value += other.value; if(value >= mod()) value -= mod(); return *this; } constexpr modint &operator-=(const modint &other) noexcept { unsigned int x = value; if(x < other.value) x += mod(); x -= other.value; value = x; return *this; } constexpr modint &operator*=(const modint &other) noexcept { unsigned long long x = value; x *= other.value; value = (unsigned int) (x % mod()); return *this; } constexpr modint &operator/=(const modint &other) noexcept { return *this *= other.inverse(); } constexpr modint inverse() const noexcept { assert(value); long long a = value,b = mod(),x = 1,y = 0; while(b) { long long q = a/b; a -= q*b; swap(a,b); x -= q*y; swap(x,y); } return modint(x); } constexpr modint power(long long N) const noexcept { assert(N >= 0); modint p = *this,ret = 1; while(N) { if(N & 1) ret *= p; p *= p; N >>= 1; } return ret; } constexpr modint operator+() {return *this;} constexpr modint operator-() {return modint() - *this;} constexpr modint &operator++(int) noexcept {return *this += 1;} constexpr modint &operator--(int) noexcept {return *this -= 1;} friend modint operator+(const modint& lhs, const modint& rhs) {return modint(lhs) += rhs;} friend modint operator-(const modint& lhs, const modint& rhs) {return modint(lhs) -= rhs;} friend modint operator*(const modint& lhs, const modint& rhs) {return modint(lhs) *= rhs;} friend modint operator/(const modint& lhs, const modint& rhs) {return modint(lhs) /= rhs;} friend ostream &operator<<(ostream &os,const modint &x) {return os << x.value;} }; using mint = modint<998244353>; /* using mint = modint<1000000007>; */ template struct LazySegmentTree { private: vector node; vector lazy; int siz,log; void map_and_comp(F f,int u) { node[u] = mapping(f,node[u]); if(u < siz) lazy[u] = composition(f,lazy[u]); } void propagate(int u) { assert(0 <= u && u < siz); map_and_comp(lazy[u],2*u); map_and_comp(lazy[u],2*u+1); lazy[u] = id(); } void recalculate(int u) {node[u] = op(node[2*u],node[2*u+1]);} public: LazySegmentTree(int n = 0) : LazySegmentTree(vector(n,e())) {} LazySegmentTree(const vector &V) { siz = 1; log = 0; while(siz < (int)V.size()) siz <<= 1,log++; node.assign(2*siz,e()); lazy.assign(siz,id()); for(int i = 0;i < (int)V.size();i++) node[i+siz] = V[i]; for(int i = siz-1;i >= 1;i--) recalculate(i); } void fill(T x,int l = 0,int r = -1) {if(r < 0){r = siz;} for(int i = l;i < r;i++) replace(i,x);} void clear() {fill(e());} void replace(int pos,T x) {func_update(pos,x,[](T u,T v){return u = v;});} void add(int pos,T x) {func_update(pos,x,[](T u,T v){return u + v;});} void func_update(int pos,T x,T (*func)(T,T)) { assert(0 <= pos && pos < siz); pos += siz; for(int i = log;i >= 1;i--) propagate(pos >> i); node[pos] = func(node[pos],x); for(int i = 1;i <= log;i++) recalculate(pos >> i); } T operator[](int pos) { assert(0 <= pos && pos < siz); pos += siz; for(int i = log;i >= 1;i--) propagate(pos >> i); return node[pos]; } void apply(int pos,F f) { assert(0 <= pos && pos < siz); pos += siz; for(int i = log;i >= 1;i--) propagate(pos >> i); node[pos] = mapping(f,node[pos]); for(int i = 1;i <= log;i++) recalculate(pos >> i); } void apply(int l,int r,F f) { assert(0 <= l && l <= r && r <= siz); if(l == r) return; l += siz; r += siz; int l0 = l/(l & -l); int r0 = r/(r & -r); for(int i = log;i >= 1;i--) propagate(l0 >> i); for(int i = log;i >= 1;i--) propagate((r0-1) >> i); while(l < r) { if(l & 1) map_and_comp(f,l++); if(r & 1) map_and_comp(f,--r); l >>= 1; r >>= 1; } for(int i = 1;i <= log;i++) recalculate(l0 >> i); for(int i = 1;i <= log;i++) recalculate((r0-1) >> i); } T prod() {return node[1];} T prod(int l,int r) { assert(0 <= l && l <= r && r <= siz); l += siz; r += siz; int l0 = l/(l & -l); int r0 = r/(r & -r); for(int i = log;i >= 1;i--) propagate(l0 >> i); for(int i = log;i >= 1;i--) propagate((r0-1) >> i); T Lval = e(),Rval = e(); while(l < r) { if(l & 1) Lval = op(Lval,node[l++]); if(r & 1) Rval = op(node[--r],Rval); l >>= 1; r >>= 1; } return op(Lval,Rval); } }; using S = array; S op(S a,S b) { for(int i = 0;i < 5;i++) { a[i] += b[i]; } return a; } S e() { S x; for(int i = 0;i < 5;i++) { x[i] = 0; } return x; } S mp(int f,S x) { if(f != -1) { mint len = x[0]; mint p = f; for(int i = 1;i < 5;i++) { x[i] = p * len; p *= f; } } return x; } int cp(int f,int g) { return f == -1 ? g : f; } int id() { return -1; } void Main() { int N; cin >> N; vector init(N); for(int i = 0;i < N;i++) { int a; cin >> a; init[i][0] = 1; for(int j = 1;j < 5;j++) { init[i][j] = init[i][j - 1] * a; } } LazySegmentTree seg(init); int Q; cin >> Q; for(;Q--;) { int t,u,v,w; cin >> t >> u >> v >> w; if(u > v) { swap(u,v); } if(t == 0) { int b; cin >> b; if(u < w && w < v) { seg.apply(u - 1,v,b); } else { seg.apply(v - 1,N,b); seg.apply(0,u,b); } } else { S x; if(u < w && w < v) { x = seg.prod(u - 1,v); } else { /* cout << seg.prod(v - 1,N)[0] << " " << seg.prod(0,u)[0] << " " << N - v + 1 << " " << u << "\n"; */ x = op(seg.prod(v - 1,N),seg.prod(0,u)); } mint L = x[0],M = x[1] / L; mint ans = 0; if(t == 1) { } else if(t == 2) { ans += x[2]; ans -= 2 * M * x[1]; ans += M * M * x[0]; ans /= L; } else if(t == 3) { ans += x[3]; ans -= 3 * M * x[2]; ans += 3 * M * M * x[1]; ans -= M * M * M * x[0]; ans /= L; } else { ans += x[4]; ans -= 4 * M * x[3]; ans += 6 * M * M * x[2]; ans -= 4 * M * M * M * x[1]; ans += M * M * M * M * x[0]; ans /= L; } cout << ans << "\n"; } } } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int tt = 1; /* cin >> tt; */ while(tt--) Main(); }