#include<bits/stdc++.h> #include<atcoder/all> using namespace std; namespace my{ using ml=atcoder::modint998244353; auto&operator>>(istream&i,ml&x){int t;i>>t;x=t;return i;} auto&operator<<(ostream&o,const ml&x){return o<<(int)x.val();} #define LL(...) ll __VA_ARGS__;lin(__VA_ARGS__) #define FO(n) for(ll ij=n;ij-->0;) #define FOR(i,...) for(auto[i,i##stop,i##step]=range(0,__VA_ARGS__);i<i##stop;i+=i##step) #define fo(i,...) FO##__VA_OPT__(R)(i __VA_OPT__(,__VA_ARGS__)) #define fe(a,i,...) for(auto&&__VA_OPT__([)i __VA_OPT__(,__VA_ARGS__]):a) #define single_testcase void solve();}int main(){my::io();my::solve();}namespace my{ void io(){cin.tie(nullptr)->sync_with_stdio(0);cout<<fixed<<setprecision(15);} using ll=long long; using ull=unsigned long long; using ulll=__uint128_t; using lll=__int128_t; istream&operator>>(istream&i,ulll&x){ull t;i>>t;x=t;return i;} ostream&operator<<(ostream&o,const ulll&x){return(x<10?o:o<<x/10)<<ll(x%10);} istream&operator>>(istream&i,lll&x){ll t;i>>t;x=t;return i;} ostream&operator<<(ostream&o,const lll&x){return o<<string(x<0,'-')<<ulll(x>0?x:-x);} constexpr auto range(bool s,auto...a){array<ll,3>r{0,0,1};ll I=0;((r[I++]=a),...);if(!s&&I==1)swap(r[0],r[1]);r[0]-=s;if(s)r[2]*=-1;return r;} constexpr char newline=10; constexpr char space=32; lll pow(lll x,ll n){assert(n>=0);lll r=1;while(n)n&1?r*=x:r,x*=x,n>>=1;return r;} constexpr ll width2(auto x){x|=1;ll r=0;while(x>0)x>>=1,++r;return r;} template<ll k>auto pack_kth(const auto&...a){return get<k>(make_tuple(a...));} template<class T,size_t...I>auto pack_slice_impl(index_sequence<I...>, const auto&...a){return array<T,sizeof...(I)>{get<I>(forward_as_tuple(a...))...};} template<class T,size_t n>auto pack_slice(const auto&...a){return pack_slice_impl<T>(make_index_sequence<n>{},a...);} template<class V>concept vectorial=is_base_of_v<vector<typename V::value_type>,V>; template<class V>istream&operator>>(istream&i,vector<V>&v){fe(v,e)i>>e;return i;} template<class V>ostream&operator<<(ostream&o,const vector<V>&v){fe(v,e)o<<e<<string(&e!=&v.back(),vectorial<V>?newline:space);return o;} template<class V>struct vec:vector<V>{ using vector<V>::vector; vec(const vector<V>&v){vector<V>::operator=(v);} template<class...A>requires(sizeof...(A)>=3)vec(A...a){const ll n=sizeof...(a)-1;auto t=pack_slice<ll,n>(a...);ll s[n];fo(i,n)s[i]=t[i];*this=make_vec(s,pack_kth<n>(a...));} template<class T,ll n,ll i=0>static auto make_vec(const ll(&s)[n],T x){if constexpr(i==n-1)return vec<T>(s[i],x);else{auto X=make_vec<T,n,i+1>(s,x);return vec<decltype(X)>(s[i],X);}} vec&operator^=(const vec&u){this->insert(this->end(),u.begin(),u.end());return*this;} vec operator^(const vec&u)const{return vec{*this}^=u;} vec&operator+=(const vec&u){vec&v=*this;fo(i,v.size())v[i]+=u[i];return v;} vec&operator-=(const vec&u){vec&v=*this;fo(i,v.size())v[i]-=u[i];return v;} vec operator+(const vec&u)const{return vec{*this}+=u;} vec operator-(const vec&u)const{return vec{*this}-=u;} vec&operator++(){fe(*this,e)++e;return*this;} vec&operator--(){fe(*this,e)--e;return*this;} vec operator-()const{vec v=*this;fe(v,e)e=-e;return v;} ll size()const{return vector<V>::size();} }; template<ll rank,class T>struct tensor_helper{using type=vec<typename tensor_helper<rank-1,T>::type>;}; template<class T>struct tensor_helper<0,T>{using type=T;}; template<ll rank,class T>using tensor=typename tensor_helper<rank,T>::type; template<class...A>requires(sizeof...(A)>=2)vec(A...a)->vec<tensor<sizeof...(a)-2,remove_reference_t<decltype(get<sizeof...(a)-1>(declval<tuple<A...>>()))>>>; vec(ll)->vec<ll>; void lin(auto&...a){(cin>>...>>a);} template<char c=space>void pp(const auto&...a){ll n=sizeof...(a);((cout<<a<<string(--n>0,c)),...);cout<<newline;} constexpr ll at2ll(auto x,ll i){return x>>i&1;} auto popcount_count_enumerate(ll n){ ll L=width2(n); vec dp(L+1,2,L+1,0LL); dp[0][1][0]=1; fo(i,L){ ll cu=at2ll(n,L-1-i); fo(e,2)fo(j,i+1){ fo(x,2){ if(e&&x>cu)continue; ll nj=j+x; ll ne=(x<cu?0:e); dp[i+1][ne][nj]+=dp[i][e][j]; } } } vec res(L+1); fo(i,L+1)res[i]=dp[L][0][i]+dp[L][1][i]; return res; } single_testcase void solve(){ LL(N,M); ml ans=0; auto cnt=popcount_count_enumerate(M); fo(k,width2(M)+1)ans+=ml(N).pow(k)*cnt[k]; pp(ans); }}