#include typedef uint64_t u64; typedef int64_t i64; using namespace std; template struct modint{ u64 val; modint(i64 val_=0):val((val_%i64(mod)+i64(mod))%i64(mod)){} modint operator-(){ return (val==0)?0:mod-val; } modint operator+(modint rhs){ return modint(*this)+=rhs; } modint operator-(modint rhs){ return modint(*this)-=rhs; } modint operator*(modint rhs){ return modint(*this)*=rhs; } modint operator/(modint rhs){ return modint(*this)/=rhs; } modint operator^(i64 rhs){ return modint(*this)^=rhs; } modint &operator+=(modint rhs){ val+=rhs.val,val-=((val>=mod)?mod:0); return (*this); } modint &operator-=(modint rhs){ val+=((val>=1; } return (*this)=res; } bool operator==(modint rhs){ return val==rhs.val; } bool operator!=(modint rhs){ return val!=rhs.val; } friend std::ostream &operator<<(std::ostream& os,modint x){ return os<<(x.val); } friend std::istream &operator>>(std::istream& is,modint& x){ u64 t; is>>t,x=t; return is; } }; template struct NTT{ typedef modint mint; mint g; vector rev; NTT(){ for(g=2;;g+=1){ if((g^((mod-1)>>1))!=1){ return; } } } void dft(vector& f){ int siz=f.size(); for(int i=0;i operator()(vector a,vector b){ int cnt=0,siz=1,mxsiz=a.size()+b.size()-1; while(siz>1]>>1)+(1< struct FPS{ typedef modint mint; NTT ntt; vector val; FPS():val({0}){} FPS(mint t):val({t}){} FPS(int siz):val(max(1,siz)){} FPS(initializer_list init):val(init){} FPS(vector init):val(init){} mint &operator[](int i){ return val[i]; } int size(){ return val.size(); } void resize(int siz){ val.resize(siz); } FPS& resize_(int siz){ auto tmp=val; tmp.resize(siz); return (*this)=tmp; } FPS operator-(){ for(mint& v:val){ v=mint(0)-v; } return (*this); } FPS& operator+=(mint rhs){ val[0]+=rhs; return (*this); } FPS& operator-=(mint rhs){ val[0]-=rhs; return (*this); } FPS& operator*=(mint rhs){ for(auto& v:val){ v*=rhs; } return (*this); } FPS& operator/=(mint rhs){ for(auto& v:val){ v/=rhs; } return (*this); } FPS operator+(mint rhs){ return FPS(*this)+=rhs; } FPS operator-(mint rhs){ return FPS(*this)-=rhs; } FPS operator*(mint rhs){ return FPS(*this)*=rhs; } FPS operator/(mint rhs){ return FPS(*this)/=rhs; } FPS& operator+=(FPS rhs){ resize(max(this->size(),rhs.size())); for(int i=0;isize(),rhs.size())); for(int i=0;i>=(int k){ if(int(val.size())<=k){ return (*this)={0}; } FPS res=val; res.val.erase(res.val.begin(),res.val.begin()+k); return (*this)=res; } FPS& operator<<=(int k){ FPS res=val; res.val.insert(res.val.begin(),k,mint(0)); return (*this)=res; } FPS operator+(FPS rhs){ return FPS(*this)+=rhs; } FPS operator-(FPS rhs){ return FPS(*this)-=rhs; } FPS operator*(FPS rhs){ return FPS(*this)*=rhs; } FPS operator/(FPS rhs){ return FPS(*this)/=rhs; } FPS operator<<(int k){ return FPS(*this)<<=k; } FPS operator>>(int k){ return FPS(*this)>>=k; } FPS shrink(){ for(int i=val.size()-1;i>0;--i){ if(val[i]==0){ val.pop_back(); } else{ break; } } return (*this); } FPS diff_(){ if(val.size()==1){ return (*this)={0}; } FPS f(val.size()-1); for(size_t i=1;i>t; if(f[0]==0){ f={0},f.resize(mx); return f; } mint c=f[0]; f/=c; (f.log(mx)*=mint(k)).exp(mx)*=(c^k); if(t*k<=mx){ f<<=t*k; f.resize(mx); return f; } else{ f={0},f.resize(mx); return f; } } FPS& diff(){ return (*this)=diff_(); } FPS& integral(){ return (*this)=integral_(); } FPS& inv(int mx=-1){ return (*this)=inv_(mx); } FPS& exp(int mx=-1){ return (*this)=exp_(mx); } FPS& log(int mx=-1){ return (*this)=log_(mx); } FPS& pow(i64 k,int mx=-1){ return (*this)=pow_(k,mx); } }; template FPS product(vector> a){ int siz=1; while(siz> res(siz*2-1,{1}); for(int i=0;i=0;--i){ res[i]=res[2*i+1]*res[2*i+2]; } return res[0]; } template vector> stirling_number2(int N){ typedef modint mint; FPS f(N+1),g(N+1); mint fact=1; for(int i=0;i<=N;++i){ f[i]=(mint(i)^N)/fact; g[i]=(mint(-1)^i)/fact; fact*=i+1; } f*=g; vector res(N+1); for(int i=0;i<=N;++i){ res[i]=f[i]; } return res; } template struct comb{ vector dat,idat; comb(int mx=3000000):dat(mx+1,1),idat(mx+1,1){ for(int i=1;i<=mx;++i){ dat[i]=dat[i-1]*i; } idat[mx]/=dat[mx]; for(int i=mx;i>0;--i){ idat[i-1]=idat[i]*i; } } T operator()(int n,int k){ if(n<0||k<0||n mint; constexpr u64 mod=998244353; int N,S; cin>>N>>S; vector> f(N); comb C; mint invS=mint(1)/S; for(int i=0;i>p; f[i]={1,p*invS}; } auto g=product(f); mint ans=0; for(int i=0;i<=N;++i){ ans+=C.dat[i]*g[i]; } cout<