#include <bits/stdc++.h>

using namespace std;

//(1 - p[0] - p[1]) + p[1] * 2 + p[0] * (1 - p[0]) * 2 + 3 * p[0] * p[0] = x
//p[1] = x + p[0] - 1 - p[0] * (1 - p[0]) * 2 - 3 * p[0] * p[0]
//=x-p[0]*p[0]-1
//p[0] * dp[1]+ 1= dp[2]
//p[0] * (dp[2] + 1) + p[1] * (dp[1] + 1) + (1 - p[0] - p[1]) * (dp[0] + 1)
//1+p[1]+p[0]*(p[0]+1)=dp[3]
//p[0]*dp[3]+p[1]*dp[2]+p[2]*dp[1]+1=dp[4]
//

double dp[1000010];

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);
	dp[1] = 1.0000000000000000;
	dp[2] = 1.0833333333333333;
	dp[3] = 1.2569444444444444;
	dp[4] = 1.5353009259259260;
	dp[5] = 1.6915991512345676;
	dp[6] = 2.0513639724794235;
	double p[6];
	double sum = 0.0;
	for (int i = 2; i <= 6; i++) {
		p[i - 2] = dp[i] - 1.0;
		for (int j = 0; j < i - 2; j++) {
			p[i - 2] -= p[j] * dp[i - j - 1];
		}
		sum += p[i - 2];
	}
	p[5] = 1 - sum;
	for (int i = 7; i <= 1000000; i++) {
		dp[i] = 1;
		for (int j = 0; j < 6; j++) {
			dp[i] += dp[i - j - 1] * p[j];
		}
	}

	int t;
	cin >> t;
	for (int i = 0; i < t; i++) {
		int n;
		cin >> n;
		cout << fixed << setprecision(10) << dp[n] << endl;
	}
	return 0;
}