#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; #define sz size() #define pb push_back #define mp make_pair #define fi first #define se second #define all(c) (c).begin(), (c).end() #define rep(i,a,b) for(long long i=(a);i<(b);++i) #define clr(a, b) memset((a), (b) ,sizeof(a)) #define MOD 1000000007 int main(){ int N; cin>>N; double ans = 1.; rep(i,2,N+1){ ans += 2./i; rep(j,1,i){ rep(k,j+1,i){ ans += 2.*j*k/i/(i-1); } } } printf("%.10f\n",ans); return 0; }