#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define endl '\n' #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #define uniq(v) (v).erase(unique((v).begin(), (v).end()), (v).end()) typedef long long ll; typedef long double lb; typedef pair P; typedef complex comp; typedef vector< vector > matrix; struct pairhash { public: template size_t operator()(const pair &x) const { size_t seed = hash()(x.first); return hash()(x.second) + 0x9e3779b9 + (seed<<6) + (seed>>2); } }; const int inf = 1e9 + 9; const ll mod = 1e9 + 7; const double eps = 1e-8; const double pi = acos(-1); int k; double memo[22]; double rec(int t) { if (t >= k) return 0; if (memo[t] < 0) { double res = 0.0; for (int i = 1; i <= 6; i++) res += rec(t+i); res /= 6.0; res += 1.0; memo[t] = res; } return memo[t]; } double solve() { for (int i = 0; i < 22; i++) memo[i] = -1; return rec(0); } void input() { cin >> k; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(15); input(); cout << solve() << endl; }