// #includes {{{ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; // }}} // pre-written code {{{ #define REP(i,n) for(int i=0;i<(int)(n);++i) #define RREP(i,a,b) for(int i=(int)(a);i<(int)(b);++i) #define FOR(i,c) for(__typeof((c).begin()) i=(c).begin();i!=(c).end();++i) #define LET(x,a) __typeof(a) x(a) //#define IFOR(i,it,c) for(__typeof((c).begin())it=(c).begin();it!=(c).end();++it,++i) #define ALL(c) (c).begin(), (c).end() #define MP make_pair #define EXIST(e,s) ((s).find(e)!=(s).end()) #define RESET(a) memset((a),0,sizeof(a)) #define SET(a) memset((a),-1,sizeof(a)) #define PB push_back #define DEC(it,command) __typeof(command) it=command //debug #define dump(x) cerr << #x << " = " << (x) << endl; #define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl; #define debug2(x) cerr << #x << " = [";REP(__ind,(x).size()){cerr << (x)[__ind] << ", ";}cerr << "] (L" << __LINE__ << ")" << endl; const int INF=0x3f3f3f3f; typedef long long Int; typedef unsigned long long uInt; typedef long double rn; // }}} int main(){ rn x; cin>>x; rn ans = 1.0L/(x+1.0L)+1.0L/2.0L*(1.0L/(x+1.0L)-1.0L/(x+2.0L))+1.0L/((x+1.0L)*(x+1.0L)*(x+2.0L)); rn d = x; for(int n=2;;n++){ rn b = x+(rn)n; rn ans2 = ans-1.0L/b/b/(b+1.0L)/(b-1.0L); if(abs(ans-ans2)<1e-15L){ break; } ans = ans2; } printf("%.10Lf\n",ans); return 0; }