#include #pragma GCC optimize("Ofast") #define _GLIBCXX_DEBUG using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; ll ILL=2167167167167167167; const int INF=2100000000; const ll mod=998244353; #define rep(i,a) for (ll i=0;i using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,const T &b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";} template void vec_out(vector &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<0){ a*=2; if(H%a!=0){ H-=a/2; c*=b; c%=z; } b*=b; b%=z; } //ここまで return c; } void solve(); // oddloop int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t=1; //cin>>t; rep(i,t) solve(); } void solve(){ ll N,M; cin>>N>>M; if(M<=30){ ll ans=0; rep(i,M){ ans^=N; N<<=1ll; } cout< p; while(N){ p.push_back(N&1); N>>=1; } int L=p.size(); rep(i,L){ tmp^=p[i]; ans=(ans+tmp*w)%mod; w=(w*2ll)%mod; } ans+=(tmp*w*(jyo(2,M-L,mod)-1))%mod; w=jyo(2,M,mod); rep(i,L){ tmp^=p[i]; ans=(ans+tmp*w)%mod; w=(w*2ll)%mod; } cout<<(ans%mod+mod)%mod<<"\n"; }