#include #define show(x) cout << #x << " = " << x << endl using namespace std; using ll = long long; using pii = pair; using vi = vector; template ostream& operator<<(ostream& os, const vector& v) { os << "sz=" << v.size() << "\n["; for (const auto& p : v) { os << p << ","; } os << "]\n"; return os; } template ostream& operator<<(ostream& os, const pair& p) { os << "(" << p.first << "," << p.second << ")"; return os; } constexpr ll MOD = 1e9 + 7; template constexpr T INF = numeric_limits::max() / 100; int main() { int k; cin >> k; vector dp(k + 6, 0); for (int i = k - 1; i >= 0; i--) { dp[i] = (dp[i + 1] + dp[i + 2] + dp[i + 3] + dp[i + 4] + dp[i + 5] + dp[i + 6]) / 6 + 1.0; } cout << fixed << setprecision(10) << dp[0] << endl; return 0; }