#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define REP(i,a,b) for(int i=a;i<(int)b;i++) #define rep(i,n) REP(i,0,n) #define all(c) (c).begin(), (c).end() #define zero(a) memset(a, 0, sizeof a) #define minus(a) memset(a, -1, sizeof a) template inline bool minimize(T1 &a, T2 b) { return b < a && (a = b, 1); } template inline bool maximize(T1 &a, T2 b) { return a < b && (a = b, 1); } typedef long long ll; int const inf = 1<<29; int N; int main() { cin >> N; double ans = 1.0;//, prob = 1.0; REP(i, 2, N + 1) { // prob *= 1.0 / (i + 1); REP(a, 1, i) REP(b, a+1, i) { ans += 2.0 * a * b / i / (i - 1); } ans += 2.0 / i; } printf("%.10f\n", ans); return 0; }