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); long n = 1000; double[] aa = new double[6 + 1]; double[] bb = new double[6 + 1]; long j; for (j = n - 1; j >= 0; j--) { bb[(int)(j % 7)] = 1; aa[(int)(j % 7)] = 0; for (int k = 1; k <= 6; k++) { if (j + k > n) { aa[(int)(j % 7)] += (double)1 / 6; } else { aa[(int)(j % 7)] += aa[(int)((j + k) % 7)] / 6; bb[(int)(j % 7)] += bb[(int)((j + k) % 7)] / 6; } } } int t = sc.nextInt(); for (int i = 0; i < t; i++) { n = sc.nextLong(); if (n < 1000) { double[] a = new double[6 + 1]; double[] b = new double[6 + 1]; for (j = n - 1; j >= 0; 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; } } } pr.printf("%.13f\n", b[(int)((j + 1) % 7)] / (1 - a[(int)((j + 1) % 7)])); } else { j = n - 1000; double btmp = bb[(int)((0 + 1) % 7)] + (1 - aa[(int)((0 + 1) % 7)]) * (j + 1); pr.printf("%.13f\n", btmp / (1 - aa[(int)((0 + 1) % 7)])); } } pr.close(); sc.close(); } @SuppressWarnings("unused") private static class Scanner { BufferedReader br; Iterator 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); } } }