#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vvi; typedef vector vvvi; typedef vector vvvvi; typedef vector vb; typedef vector vvb; typedef vector vvvb; typedef vector vvvvb; typedef pair pi; typedef pair ppi; typedef pair pppi; typedef pair ppppi; #define FOR(i,l,r) for(ll i=l;i=l;i--) #define RREP(i,n) RFOR(i,0,n) #define ALL(x) x.begin(),x.end() #define F first #define S second #define BS(A,x) binary_search(ALL(A),x) #define LB(A,x) (ll)(lower_bound(ALL(A),x)-A.begin()) #define UB(A,x) (ll)(upper_bound(ALL(A),x)-A.begin()) #define COU(A,x) (UB(A,x)-LB(A,x)) #define sz(c) ((ll)(c).size()) /* #include namespace mp=boost::multiprecision; using Bint=mp::cpp_int; */ templateusing min_priority_queue=priority_queue,greater>; templateostream&operator<<(ostream&os,pairp){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vectorv){REP(i,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} templatebool chmax(T&a,T b){if(abool chmin(T&a,T b){if(b(a,b); auto y=convolution(a,b); auto z=convolution(a,b); vectorret(sz(a)+sz(b)-1); REP(i,sz(ret)){ ll v1=(y[i]-x[i])*m1_inv_m2%m2;if(v1<0)v1+=m2; ll v2=(z[i]-(x[i]+m1*v1)%m3)*m12_inv_m3%m3;if(v2<0)v2+=m3; ret[i]=(x[i]+m1*v1+m12_mod*v2)%mod; } return ret; } const ld EPS=1e-8; //* using mint=modint998244353; const ll mod=998244353; //*/ /* using mint=modint1000000007; const ll mod=1000000007; //*/ //using mint=modint; //* typedef vector vm; typedef vector vvm; typedef vector vvvm; typedef vector vvvvm; ostream&operator<<(ostream&os,mint a){os<>(istream&is,mint&a){int x;is>>x;a=mint(x);return is;} //*/ int main(){ ll N,K;cin>>N>>K; vm F(10*K); F[1]=1; FOR(i,2,10*K)F[i]=F[i-1]+F[i-2]; REP(i,10*K)F[i]=F[i].pow(K); vvm A(2*K,vm(4*K)); REP(i,2*K)REP(j,2*K)A[i][j]=F[i+j]; REP(i,2*K)A[i][i+2*K]=1; REP(i,2*K){ ll t=i; while(t<2*K&&!A[t][i].val())t++; if(t==2*K)break; swap(A[t],A[i]); FOR(j,i+1,4*K)A[i][j]/=A[i][i]; A[i][i]=1; REP(j,2*K)if(j!=i){ mint c=A[j][i]; FOR(l,i,4*K)A[j][l]-=A[i][l]*c; } } vm coeff(2*K); REP(i,2*K)REP(j,2*K)coeff[i]+=A[i][j+2*K]*F[2*K+j]; vvm B(2*K,vm(2*K)); REP(i,2*K-1)B[i][i+1]=1; REP(i,2*K)B[2*K-1][i]=coeff[i]; auto f=[&](vvm x,vvm y){ vvm z(2*K,vm(2*K)); REP(i,2*K)REP(j,2*K)REP(k,2*K)z[i][j]+=x[i][k]*y[k][j]; return z; }; vvvm T(60,vvm(2*K,vm(2*K))),S(60,vvm(2*K,vm(2*K))); T[0]=B; FOR(i,1,60)T[i]=f(T[i-1],T[i-1]); REP(i,2*K)S[0][i][i]=1; FOR(i,1,60){ auto nex=f(S[i-1],T[i-1]); REP(j,2*K)REP(k,2*K)S[i][j][k]=S[i-1][j][k]+nex[j][k]; } N++; vvm ans(2*K,vm(2*K)); REP(i,60)if((N>>i)%2){ auto nex=f(ans,T[i]); REP(j,2*K)REP(k,2*K)ans[j][k]=nex[j][k]+S[i][j][k]; } mint sum=0; REP(i,2*K)sum+=F[i]*ans[0][i]; cout<