#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include // #include // #include // #include // #include #define all(x) begin(x), end(x) using namespace std; // using namespace atcoder; // using mint = modint998244353; // using mint = modint1000000007; using i32 = int; using i64 = long long; using ld = long double; void debug(vector a) { for (auto x : a) cout << x << ' '; cout << endl; } void debug(vector> a) { for (auto y : a) debug(y); } template inline bool chmax(T1 &a, T2 b) {return a < b and (a = b, true);} template inline bool chmin(T1 &a, T2 b) {return a > b and (a = b, true);} const i64 supl = LONG_LONG_MAX - 100; void main_() { i32 k; cin >> k; vector dpa(k + 6), dpb(k + 6); for (int i = k + 1 ; i < k + 6 ; i++) dpa[i] = 1; for (int i = k - 1 ; i >= 0 ; i--) { for (int j = 1 ; j <= 6 ; j++) { dpa[i] += 1.0l/6.0l * dpa[i + j]; dpb[i] += 1.0l/6.0l * dpb[i + j]; } dpb[i] += 1.0l; } cout << fixed << setprecision(3); // cout << dpa[0] << ' ' << dpb[0] << endl; cout << dpb[0] * 1.0l/(1.0l - dpa[0]) << endl; } int main() { ios::sync_with_stdio(false); std::cin.tie(nullptr); main_(); return 0; }