#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;} //*/ template vector>f(vector>&a,vector>&b){ vector>c(3,vector(3,T(a[0][0].size()))); REP(i,3)REP(j,3)REP(k,3){ auto d=convolution(a[i][k],b[k][j]); REP(l,a[0][0].size())c[i][j][l]+=d[l]; } return c; } int main(){ ll N,H;cin>>N>>H; vvvm A(3,vvm(3,vm(N+10))); A[0][1][0]=A[1][2][0]=1; A[2][0][2]=-inv_mod(9,mod); A[2][1][1]=-inv_mod(6,mod); A[2][1][2]=inv_mod(9,mod); A[2][2][0]=inv_mod(2,mod); A[2][2][1]=2*inv_mod(3,mod); vvvvm B(20,vvvm(3,vvm(3,vm(N+10))));; B[0]=A; FOR(i,1,20)B[i]=f(B[i-1],B[i-1]); vvvm C(3,vvm(3,vm(N+10))); C[0][0][0]=C[1][1][0]=C[2][2][0]=1; REP(i,20)if(((N-1)>>i)%2)C=f(C,B[i]); vm ans(N+10); REP(i,N+5){ ans[i+2]-=10*C[0][2][i]; ans[i+2]+=6*C[1][2][i]; ans[i+1]-=21*C[1][2][i]; ans[i]+=C[2][2][i]*36; ans[i+1]+=C[2][2][i]*54; } REP(i,N+10)ans[i]/=90; mint sum=0; FOR(i,H,N+1)sum+=ans[i]; cout<