import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Iterator;


public class Main_yukicoder301 {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        Printer pr = new Printer(System.out);
        
//        final double EPS = 1.e-13;

        int t = sc.nextInt();
        for (int i = 0; i < t; i++) {
            long n = sc.nextLong();

//            if (n < 10000000) {
            	double[] a = new double[6 + 1];
            	double[] b = new double[6 + 1];
            	long j;
            	for (j = n - 1; j >= 0 && n - j < 120; j--) {
            		b[(int)(j % 7)] = 1;
            		a[(int)(j % 7)] = 0;
            		for (int k = 1; k <= 6; k++) {
            			if (j + k > n) {
            				a[(int)(j % 7)] += (double)1 / 6;
            			} else {
            				a[(int)(j % 7)] += a[(int)((j + k) % 7)] / 6;
            				b[(int)(j % 7)] += b[(int)((j + k) % 7)] / 6;
            			}
            		}
            	}
            	
            	if (j > 0) {
            		b[(int)((j + 1) % 7)] += (1 - a[(int)((j + 1) % 7)]) * (j + 1);
            	}

            	pr.printf("%.13f\n", b[(int)((j + 1) % 7)] / (1 - a[(int)((j + 1) % 7)]));
//            } else {
//            }
        }

        pr.close();
        sc.close();
    }

	@SuppressWarnings("unused")
	private static class Scanner {
		BufferedReader br;
		Iterator<String> it;
		
		Scanner (InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
		}
		
		String next() throws RuntimeException  {
			try {
				if (it == null || !it.hasNext()) {
					it = Arrays.asList(br.readLine().split(" ")).iterator();
				}
				return it.next();
			} catch (IOException e) {
				throw new IllegalStateException();
			}
		}
		
		int nextInt() throws RuntimeException {
			return Integer.parseInt(next());
		}

		long nextLong() throws RuntimeException {
			return Long.parseLong(next());
		}

		float nextFloat() throws RuntimeException {
			return Float.parseFloat(next());
		}

		double nextDouble() throws RuntimeException {
			return Double.parseDouble(next());
		}

		void close() {
			try {
				br.close();
			} catch (IOException e) {
//				throw new IllegalStateException();
			}
		}
	}

	private static class Printer extends PrintWriter {
		Printer(PrintStream out) {
			super(out);
		}
	}
}