#include #include #include using namespace std; #include using namespace atcoder; using mint = modint998244353; using ll = long long; #define fix(x) fixed << setprecision(x) #define rep(i, n) for(int i = 0; i < n; ++i) #define all(x) (x).begin(),(x).end() templatebool chmin(T&a, const T&b){if(a>b){a=b;return 1;}return 0;} templatebool chmax(T&a, const T&b){if(a fps_inv(const vector& f, int n = -1){ assert(f.size()); assert(f[0].val()!=0); if(n<0) n = f.size(); vector g(1,f[0].inv()); int t = 1, d = f.size(); while(t(f.begin(), f.begin()+min(t,d)), g), g); g.resize(t); for(int i=0;i>1);++i) g[i] += 2*g_[i]; } g.resize(n); return g; } vector fps_log(const vector& f, int n = -1){ assert(f.size()); assert(f[0].val()==1); if(n<0) n = f.size(); int d = f.size(); auto g = f; for(int i=1;i inv(n+2); inv[0] = inv[1] = 1; int mod = mint::mod(); for(int i=2;i=1;--i) g[i] = g[i-1] * inv[i]; g[0] = 0; return g; } vector fps_exp(const vector& f, int n = -1){ assert(f.size()); assert(!f[0].val()); if(n<0) n = f.size(); int t = 1, d = f.size(); vector g(1,1); while(t fps_pow(vector f, long long m, int n = -1){ assert(f.size() && m>=0); int d = f.size(), x = 0; if(n<0) n = (d-1) * m + 1; if(m==0){ vector res(n,0); res[0] = 1; return res; } while(x(n,0); mint y = f[x], z = y.inv(); y = y.pow(m); for(int i=x;i(f.begin()+x, f.end()), n-x*m); for(mint& k:f) k *= m; f = fps_exp(f); for(mint& k:f) k *= y; vector g(n,0); for(int i=0,j=x*m;j> n >> q; vector a(n), b(n,0); b[0] = 1; rep(i,n){ int x; cin >> x; a[i] = x; } while(q--){ int t; cin >> t; if(t==1){ int k,x; cin >> k >> x; vector c(2); c[0] = 1, c[1] = -k; b = convolution(b, fps_pow(c, x, n)); b.resize(n); }else{ int x; cin >> x; auto c = fps_inv(b,x); mint ans = 0; rep(i,x) ans += a[i] * c[x-1-i]; cout << ans.val() << '\n'; } } return 0; }