#include #include #include #include #include #include #include #include #define rep(i, a, b) for (int i = int(a); i < int(b); i++) using namespace std; using ll = long long int; // NOLINT using P = pair; // clang-format off #ifdef _DEBUG_ #define dump(...) do{ cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; debug_print(__VA_ARGS__); } while(false) template void debug_print(const T &t, const Ts &...ts) { cerr << t; ((cerr << ", " << ts), ...); cerr << endl; } #else #define dump(...) do{ } while(false) #endif template vector make_v(size_t a, T b) { return vector(a, b); } template auto make_v(size_t a, Ts... ts) { return vector(a, make_v(ts...)); } template bool chmin(T &a, const T& b) { if (a > b) {a = b; return true; } return false; } template bool chmax(T &a, const T& b) { if (a < b) {a = b; return true; } return false; } template void print(const T& t, const Ts&... ts) { cout << t; ((cout << ' ' << ts), ...); cout << '\n'; } template void input(Ts&... ts) { (cin >> ... >> ts); } template istream &operator,(istream &in, T &t) { return in >> t; } struct Inf { template constexpr operator T() { return numeric_limits::max() / 2; } }; // clang-format on #include int main() { cin.tie(nullptr); ios::sync_with_stdio(false); // p1 = 1/12, p2 = 1/6, p3 = 1/4, p4 = 1/12, p5 = 1/4, p6 = 1/6 constexpr double rp[6] = {12, 6, 4, 12, 4, 6}; const int nmax = 1000000, diff = 10; vector dp(nmax + diff, 0.0); for (int i = nmax; i >= 0; i--) { rep(j, 0, 6) { dp[i] += dp[i + j + 1] / rp[j]; } dp[i] += 1; } int t; cin, t; rep(i, 0, t) { int n; cin, n; cout << fixed << setprecision(15) << dp[nmax - n + 1] << endl; } return 0; }