#include #include using namespace std; using namespace atcoder; #define rep(i, n) REP(i, 0, n) #define REP(i, s, e) for (ll i = (s); i < (ll)(e); i++) #define repr(i, n) REPR(i, n, 0) #define REPR(i, s, e) for (ll i = (ll)(s - 1); i >= (ll)(e); i--) #define all(r) r.begin(), r.end() #define rall(r) r.rbegin(), r.rend() typedef long long ll; typedef vector vi; typedef vector vl; template bool chmax(T& a, const U& b) { if (a >= b) return false; a = b; return true; } template bool chmin(T& a, const U& b) { if (a <= b) return false; a = b; return true; } void yes_no(bool f, string yes = "Yes", string no = "No") { cout << (f ? yes : no) << "\n"; } vector split_string(const string& s, char c = ' ') { vector res; stringstream ss(s); string tmp; while (getline(ss, tmp, c)) { res.emplace_back(tmp); } return res; } void solve() { const int ma = (int)1e6 + 10; using D = long double; vector dp(ma); vector s{0, 1.0 / 12, 2.0 / 12, 3.0 / 12, 1.0 / 12, 3.0 / 12, 2.0 / 12}; REP(i, 1, ma) { REP(j, 1, 7) if (i - j > 0) { dp[i] += dp[i - j] * s[j]; } dp[i] += 1; } int t; cin >> t; cout << fixed << setprecision(15); rep(ti, t) { int n; cin >> n; D ans = dp[n]; cout << ans << "\n"; } } int main() { cin.tie(0); ios::sync_with_stdio(false); int t = 1; // cin >> t; rep(ti, t) solve(); return 0; }