#include <iostream>
#include <iomanip>
#define ull unsigned long long int
#define pr(s) std::cout << s << std::endl
#define rep(n) for (int i=0;i<(n);i++)
using namespace std;
int main() {
	ull t;
	ull k;
	cin.tie(0);
	ios::sync_with_stdio(false);
	cin >> t;
	for (ull c = 0; c < t; ++c) {
		cin >> k;
		if (k <= 6) {
			cout << 6 << endl;
			continue;
		}
		if (k > 500) {
			cout << setprecision(20) << k + 5.0/3.0 << endl;
			continue;
		}
		double sa = 0, sb = 0;
		double *a = new double[k], *b = new double[k];
		for (int i = 1; i <= 6; ++i, sa = sb = 0) {
			for (int j = 1; j < i; ++j) {
				sa += a[k - i + j];
				sb += b[k - i + j];
			}
			a[k - i] = sa / 6.0 + (6 - i) / 6.0;
			b[k - i] = 1 + sb / 6.0;
		}
		for (int i = 7; i <= k; ++i, sa = sb = 0) {
			for (int j = 1; j <= 6; ++j) {
				sa += a[k - i + j];
				sb += b[k - i + j];
			}
			a[k - i] = sa / 6.0;
			b[k - i] = 1 + sb / 6.0;
		}
		cout << setprecision(20) << (b[0] / (1 - a[0])) << endl;
	}
}