#include #include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using u32 = uint32_t; using namespace std; template constexpr T INF = ::numeric_limits::max() / 32 * 15 + 208; template ostream& operator<<(ostream& os, vector v) { os << "{"; for (int i = 0; i < v.size(); ++i) { if(i) os << ", "; os << v[i]; } return os << "}"; } template ostream& operator<<(ostream& os, pair p) { return os << "{" << p.first << ", " << p.second << "}"; } template vector make_v(U size, const T& init){ return vector(static_cast(size), init); } template auto make_v(U size, Ts... rest) { return vector(static_cast(size), make_v(rest...)); } template void chmin(T &a, const T &b){ a = (a < b ? a : b); } template void chmax(T &a, const T &b){ a = (a > b ? a : b); } int main() { int k; cin >> k; auto dp = make_v(k+2, k+6, 0.0); dp[0][0] = 1; double p = 0, A = 0; for (int i = 0; i < k; ++i) { for (int j = 0; j < k; ++j) { for (int l = 1; l <= 6; ++l) { dp[i+1][j+l] += dp[i][j]/6; } } p += dp[i+1][k]; A += (i+1)*dp[i+1][k]; for (int j = k+1; j <= k+6; ++j) { A += (i+1)*dp[i+1][j]; } } cout << A/p << "\n"; return 0; }