#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; long double dp[201]; int main(void) { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; double lo = 0; double hi = 1e9; for (int i = 0; i < 200; i++) { double mid = (lo + hi) / 2; dp[0] = 0; for (int j = 1; j <= n; j++) { dp[j] = 1; for (int k = 1; k <= 6; k++) { if (j - k >= 0) { dp[j] += (dp[j - k] / 6); } else { dp[j] += (mid / 6); } } } if (dp[n] > mid) { lo = mid; } else { hi = mid; } } cout << (lo + hi) / 2 << '\n'; return 0; }