#include using namespace std; long long mod = 998244353; //入力が必ず-mod>= 1; } return ret; }; mint &operator=(const mint &b) = default; mint operator-() const {return mint(0)-(*this);} mint operator+(const mint b){return mint(v)+=b;} mint operator-(const mint b){return mint(v)-=b;} mint operator*(const mint b){return mint(v)*=b;} mint operator/(const mint b){return mint(v)/=b;} mint operator+=(const mint b){ v += b.v; if(v >= mod) v -= mod; return *this; } mint operator-=(const mint b){ v -= b.v; if(v < 0) v += mod; return *this; } mint operator*=(const mint b){v = v*b.v%mod; return *this;} mint operator/=(mint b){ if(b == 0) assert(false); int left = mod-2; while(left){if(left&1) *this *= b; b *= b; left >>= 1;} return *this; } mint operator++(int){*this += 1; return *this;} mint operator--(int){*this -= 1; return *this;} bool operator==(const mint b){return v == b.v;} bool operator!=(const mint b){return v != b.v;} bool operator>(const mint b){return v > b.v;} bool operator>=(const mint b){return v >= b.v;} bool operator<(const mint b){return v < b.v;} bool operator<=(const mint b){return v <= b.v;} mint pow(const long long x){return repeat2mint(v,x);} mint inv(){return mint(1)/v;} }; vector> multima(vector> &A,vector> &B){ int siza = A.size(),sizb = B.at(0).size(); vector> ret(siza,vector(sizb)); for(int i=0; i> N >> K; int Limit = K; vector fac(Limit+1,1),inv(Limit+1,1),facinv(Limit+1,1); for(int i=1; i<=Limit; i++) fac.at(i).v = fac.at(i-1).v*i %mod; for(int i=2; i<=Limit; i++) inv.at(i).v = mod-(mod/i*inv.at(mod%i).v %mod); for(int i=2; i<=Limit; i++) facinv.at(i).v = facinv.at(i-1).v*inv.at(i).v %mod; auto nCr = [&](int n, int r) -> mint { if(n < r || r < 0 || n < 0) return mint(0); return fac.at(n)*facinv.at(r)*facinv.at(n-r); }; vector> Z(K+2,vector(K+2)),A(K+2,vector(1)); for(int i=0; i<=K; i++) for(int k=0; k<=K; k++) Z.at(i).at(k) = nCr(K-i,K-i-k); Z.at(K+1).at(0) = 1; Z.at(K+1).at(K+1) = 1; A.at(0).at(0) = 1; while(N){ if(N&1) A = multima(Z,A); Z = multima(Z,Z); N >>= 1; } cout << A.at(K+1).at(0).v << endl; }