#include #include #include #include #include #include #define rep(i, n) for(i = 0; i < (n); i++) #define chmax(x, y) x = max(x, y) #define chmin(x, y) x = min(x, y) #define MOD 1000000007 #define PI 3.14159265358979323846 #define INF 1 << 30 using namespace std; typedef long long ll; typedef pair pp; double Search(int n, const int k, vector & dp) { if (n >= k) return 0.0; if (dp[n] != 0.0) return dp[n]; int i; for (i = 1; i <= 6; i++) dp[n] += Search(n + i, k, dp); dp[n] /= 6.0; dp[n] += 1.0; return dp[n]; } int main(void) { int num, i, k; double ans; cin >> k; vector dp(k, 0.0); dp[k - 1] = 1; ans = Search(0, k, dp); printf("%.10lf\n", ans); return 0; }