#include <bits/stdc++.h>

using namespace std;

vector<double> init() {
  vector<double> e = {
    0.0,
    1.0000000000000000,
    1.0833333333333333,
    1.2569444444444444,
    1.5353009259259260,
    1.6915991512345676,
    2.0513639724794235
  };

  vector<double> ps(7);
  for (int i = 2; i <= 6; i++) {
    double t = e[i] - 1;
    for (int j = i-1; j > 1; j--)
      t -= ps[i-j] * e[j];
    ps[i-1] = t / e[1];
  }

  ps[6] = 1.0;
  for (int i = 1; i <= 5; i++)
    ps[6] -= ps[i];

  return ps;
}


int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  
  auto ps = init();
  vector<double> dp(1000000+1);
  for (int i = 1; i <= 1000000; i++) {
    dp[i] = 1;
    for (int j = 1; j <= 6; j++)
      dp[i] += dp[max(0, i-j)] * ps[j];
  }

  int T;
  cin >> T;

  for (int t = 0; t < T; t++) {
    int n;
    cin >> n;
    cout << fixed << setprecision(12) << dp[n] << endl;
  }
  
  return 0;
}