#define CP_BUNDLED_SOURCE #ifndef CP_BUNDLE_HEADER_3840A09F237A779E #define CP_BUNDLE_HEADER_3840A09F237A779E #ifdef TEMPLATE #else #define TEMPLATE # pragma GCC optimize("O3") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using uint=unsigned; using ll=long long; using ull=unsigned long long; using ld=long double; using pii=pair; using pll=pair; using i128=__int128; using u128=unsigned __int128; templateusing vc=vector; templateusing vvc=vc>; templateusing vvvc=vvc>; templateusing smpq=priority_queue,greater>; templateusing bipq=priority_queue; #define rep(i,n) for(ll i=0;i<(ll)(n);i++) #define REP(i,j,n) for(ll i=(j);i<(ll)(n);i++) #define DREP(i,n,m) for(ll i=(n);i>=(m);i--) #define drep(i,n) for(ll i=((n)-1);i>=0;i--) #define rall(x) x.rbegin(),x.rend() #define mp(...) make_pair(__VA_ARGS__) #define pb push_back #define fi first #define se second #define is insert #define bg begin() #define ed end() #define all(x) x.begin(),x.end() void scan(int&a) { cin >> a; } void scan(ll&a) { cin >> a; } void scan(string&a) { cin >> a; } void scan(char&a) { cin >> a; } void scan(uint&a) { cin >> a; } void scan(ull&a) { cin >> a; } void scan(bool&a) { cin >> a; } void scan(ld&a){ cin>> a;} template void scan(vector&a) { for(auto&x:a) scan(x); } void read() {} template void read(Head&head, Tail&... tail) { scan(head); read(tail...); } #define INT(...) int __VA_ARGS__; read(__VA_ARGS__); #define LL(...) ll __VA_ARGS__; read(__VA_ARGS__); #define ULL(...) ull __VA_ARGS__; read(__VA_ARGS__); #define STR(...) string __VA_ARGS__; read(__VA_ARGS__); #define VC(type, name, ...) vector name(__VA_ARGS__); read(name); #define VVC(type, name, size, ...) vector> name(size, vector(__VA_ARGS__)); read(name); templatevoid print(T a) { cout << a; } template void print(vectora) { for(int i=0;i<(int)a.size();i++){if(i)cout<<" ";print(a[i]);}} void PRT() { cout < void PRT(T a) { print(a); cout < void PRT(Head head, Tail ... tail) { print(head); cout << " "; PRT(tail...); return; } template bool chmin(T &x, F y){ if(x>y){ x=y; return true; } return false; } template bool chmax(T &x, F y){ if(x T floor(T a,T b){ return a/b-(a%b&&((a<0)!=(b<0))); } template T ceil(T a,T b){ return a/b+(a%b&&((a<0)==(b<0))); } template T bmod(T x,T y){ return x-y*floor(x,y); } template pairdivmod(T x,T y){ T q=floor(x,y); return{q,x-q*y}; } void YesNo(bool b){ cout<<(b?"Yes":"No")<stovi(const string&s,const string&S){ vcv(s.size()); rep(i,s.size()){ auto t=S.find(s[i]); assert(t!=string::npos); v[i]=t; } return v; } template T isqrt(T x){ T F=sqrtl(x); while((F+1)*(F+1)<=x)F++; while(F*F>x)F--; return F; } template T tri(T x){return x*(x-1)/2;} //[l,r) templateT tri(T l,T r){return (r-l)*(l+r-1)/2;} //n を先頭に持ってくる template vcrot(vcv,int n){ rotate(v.begin(),v.begin()+n,v.end()); return v; } template vciota(int n){ vcv(n);rep(i,n)v[i]=i; return v; } template vcargsort(const vc&a){ auto idx=iota(a.size()); sort(all(idx),[&](int i,int j){ return (minfirst?make_pair(a[i],i)make_pair(a[j],j)); }); return idx; } template vvctrans(const vvc&a){ assert(a.size()&&a[0].size()); rep(i,a.size())assert(a[i].size()==a[0].size()); vvcb(a[0].size(),vc(a.size())); rep(i,a.size())rep(j,a[0].size())b[j][i]=a[i][j]; return b; } vctrans(const vc&a){ assert(a.size()&&a[0].size()); rep(i,a.size())assert(a[i].size()==a[0].size()); vcb(a[0].size(),string(a.size(),0)); rep(i,a.size())rep(j,a[0].size())b[j][i]=a[i][j]; return b; } template int popcount(T n){ return __builtin_popcountll(n); } template L sum(const vc&a){ return accumulate(all(a),L(0)); } template struct subset_view{ T s; struct iterator{ T s,x; bool done; T operator*()const{return x;} iterator&operator++(){ if(x==0)done=true; else x=(x-1)&s; return*this; } bool operator!=(const iterator&r)const{return done!=r.done;} }; iterator begin()const{return{s,s,false};} iterator end()const{return{s,0,true};} }; template subset_viewsubset(T s){ return{s}; } template T max(vc&a){ return *max_element(all(a)); } template T min(vc&a){ return *min_element(all(a)); } template vc presum(vc &a){ vc ret(a.size()+1); rep(i,a.size())ret[i+1]=ret[i]+a[i]; return ret; } template vc &operator+=(vc &a,F b){ for (auto&v:a)v += b; return a; } template vc &operator-=(vc&a,F b){ for (auto&v:a)v-=b; return a; } template vc &operator*=(vc&a,F b){ for (auto&v:a)v*=b; return a; } template constexpr T pow(T a,T b){ T res=1; while(b){ if(b&1)res*=a; a*=a; b/=2; } return res; } constexpr ll ten(ll a){ return pow(10,a); } templateconstexpr T inf=numeric_limits::max()/2-1; template int tbit(T x){ using U=make_unsigned_t; U y=(U)x; return y?(int)bit_width(y)-1:-1; } template int lbit(T x){ using U=make_unsigned_t; U y=(U)x; return y?(int)countr_zero(y):-1; } template int tbit(T x,int p){ using U=make_unsigned_t; constexpr int W=numeric_limits::digits; U y=(U)x; if(p<0)return -1; if(p>=W-1)return tbit(y); return tbit(y&((U(1)<<(p+1))-1)); } template int lbit(T x,int p){ using U=make_unsigned_t; constexpr int W=numeric_limits::digits; U y=(U)x; if(p<0)return lbit(y); if(p>=W)return -1; return lbit(y&(~U(0)<>(istream&is,i128&x){ string s;is>>s; x=0; int i=0,neg=0; if(s[0]=='-')neg=1,i=1; for(;i<(int)s.size();i++)x=x*10+s[i]-'0'; if(neg)x=-x; return is; } ostream& operator<<(ostream&os,i128 x){ if(x==0)return os<<0; if(x<0)os<<"-"; u128 y=x<0?-(u128)x:(u128)x; string s; while(y)s.pb('0'+y%10),y/=10; reverse(all(s)); return os<sync_with_stdio(0); #ifdef LOCAL cout< #endif #endif #endif #ifndef CP_BUNDLE_HEADER_9EAC80DF1143CBB4 #define CP_BUNDLE_HEADER_9EAC80DF1143CBB4 struct sieve{ inline static int n=1; inline static vcmf={0,1}; inline static vcmobius_; sieve(){} sieve(int N){build(N);} static void build(int N){ if(N<=n)return; n=N; mf.resize(n+1); rep(i,n+1)mf[i]=i; for(int i=2;i<=n/i;i++)if(mf[i]==i){ for(int j=i*i;j<=n;j+=i)chmin(mf[j],i); } mobius_.clear(); } static vc>factorize(int x){ assert(0n)build(x); vc>res; while(x>1){ int p=mf[x]; res.pb({p,0}); while(x%p==0){ x/=p; res.back().second++; } } return res; } static vcdiv(int x){ assert(0res{1}; for(auto[p,e]:factorize(x)){ int sz=res.size(),pw=1; rep(i,e){ pw*=p; rep(j,sz)res.pb(res[j]*pw); } } return res; } static void mobd(){ mobius_.resize(n+1); mobius_[1]=1; REP(i,2,n+1){ ll p=mf[i]; if(i%(p*p)==0)mobius_[i]=0; else mobius_[i]=-mobius_[i/p]; } } static int mobius(int x){ assert(0n)build(x); if(mobius_.empty())mobd(); return mobius_[x]; } static bool is_prime(int x){ assert(0<=x); if(x<2)return false; if(x>n)build(x); return mf[x]==x; } static int phi(int x){ assert(0n)build(x); int res=x; while(x>1){ int p=mf[x]; res=res/p*(p-1); while(x%p==0)x/=p; } return res; } }; #endif void solve(){ sieve::build(1e7+10); INT(n); ll ans=0;REP(i,1,n+1)ans+=sieve::mobius(i); PRT(ans); } signed main(){ int t=1; // cin >> t; while(t--)solve(); }