#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; cin>>N; ll T=1,C=0; ll ans=0; ll rev=(mod+1)/2; while(true){ T*=2,C++; if(T/2-1>=N){ ll A_ave=jyo(T+2,mod-2,mod); ll R=(A_ave*4)%mod; ans=(ans+(A_ave*R)%mod)%mod; break; } ll U=jyo(T/2+1,mod-2,mod),D=jyo(T+1,mod-2,mod); ll R=((U-D)*2ll)%mod; ll A_ave=((U+D)*rev)%mod; ll B_ave=(mod+1-A_ave)%mod; ll rem=N-T+1; ll ca=1,cb=T; int x=1; while(true){ if(rem<=0){ ll tmp=(R+mod)%mod; if(x%2==0){ tmp=(tmp*((A_ave*jyo(ca,mod-2,mod))%mod))%mod; }else{ tmp=(tmp*((B_ave*jyo(cb,mod-2,mod))%mod))%mod; } ans=(ans+tmp)%mod; break; } if(x%2){ rem-=ca; ca*=2; }else{ rem-=cb; cb*=2; } x++; } } cout<<(ans+mod)%mod<<"\n"; }