#include using namespace std; typedef signed long long ll; #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define FORR2(x,y,arr) for(auto& [x,y]:arr) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) template bool chmax(T &a, const T &b) { if(a bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;} //------------------------------------------------------- const ll DI=1000000; double Hs[1010101]; ll N; double H(ll v) { if(Hs[1]==0) { for(int i=1;i<=DI;i++) Hs[i]=Hs[i-1]+1.0/i; } if(v<=DI) return Hs[v]; return Hs[DI]+log(v)-log(DI); } void solve() { int i,j,k,l,r,x,y; string s; cin>>N; double ret=0; ll cur=N; while(cur>0) { ll a=N/cur; ll nex=N/(a+1); ret+=H(a)*(H(cur)-H(nex)); cur=nex; } _P("%.12lf\n",ret); } int main(int argc,char** argv){ string s;int i; if(argc==1) ios::sync_with_stdio(false), cin.tie(0); FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin); cout.tie(0); solve(); return 0; }