#include <bits/stdc++.h>
using namespace std;

int main() {
	cout << fixed << setprecision(15);
	
	vector<int> P = {0, 1, 2, 3, 1, 3, 2};
	
	const int M = 1010101;
	vector<double> dp(M, -1);
	dp[0] = 0;
	auto calc = [&](this auto calc, int x) ->double {
		if(dp[x] != -1) return dp[x];
		double res = 0;
		for(int t = 1; t <= 6; ++t) if(x - t >= 0) res += calc(x - t) * P[t];
		return dp[x] = res / 12 + 1;
	};
	
	int T;
	cin >> T;
	while(T--) {
		int N;
		cin >> N;
		cout << calc(N) << "\n";
	}
}