#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=1167167167167167167; 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 using square_matrix=std::vector>; template square_matrix mul_matrix(square_matrix l,square_matrix r){ int n=l.size(); assert(l.size()==n&&l[0].size()==n&&r.size()==n&&r[0].size()==n); square_matrix val(n,std::vector(n,add_e())); for(int i=0;i square_matrix pow_matrix(square_matrix l,long long times){ int n=l.size(); square_matrix val(n,std::vector(n,add_e())); for(int i=0;i(val,l); } l=mul_matrix(l,l); times>>=1; } return val; } using mat_F=ll; mat_F add_op(mat_F a,mat_F b){ return (a+b)%mod; } mat_F add_e(){ return 0; } mat_F mul_op(mat_F a,mat_F b){ return (a*b)%mod; } mat_F mul_e(){ return 1; } #define calc mat_F,add_op,add_e,mul_op,mul_e void solve(); // rainy ~ 雨に打たれて ~ 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; vector p(N+1); vector r(N+1); vector q(N+1,1); q[0]=0,q[1]=0; rep(i,N+1) r[i]=i; for(ll i=1;i<=N;i++){ if(i*i>N) break; for(ll j=1+(N)/(i*i+2*i+1);j<=N/(i*i);j++) p[j]=i; } rep(i,N+1){ if(!q[i]) continue; if(i*i>N) break; for(ll j=i*i;j<=N;j+=i*i) while(r[j]%(i*i)==0) r[j]/=(i*i); } ll ans=0; for(int i=1;i<=N;i++){ //cout<