import java.util.Arrays;
import java.util.Scanner;

public class Main76 {
	public static void main(String[] args) {
		Main76 p = new Main76();
	}

	public Main76() {
		solve();
	}

	public void solve() {
		double[] p = new double[7];
		double[] dp = new double[100010];
		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 s = 0;	
		for(int i=1;i<=6;i++){
			double r = dp[i]-1;
			for(int j=i;j>0;j--)
				r -= dp[j]*p[i-j];
			p[i-1] = r;
			s+=r;
		}
		p[6] = 1.0-s;
		
		for(int i=7;i<dp.length-6;i++){
			for(int j=0;j<6;j++)
				dp[i] += dp[i-j-1]*p[j+1];
			dp[i]+=1.0;
		}
		Scanner sc = new Scanner(System.in);
		int t = sc.nextInt();
		for(int i=0;i<t;i++)
			System.out.println(dp[sc.nextInt()]);
		
		
	}

}