#include<bits/stdc++.h>
using namespace std;

#define REP(i,a,b) for(i=a;i<b;i++)
#define rep(i,n) REP(i,0,n)

double p[6] = {1.0/12, 2.0/12, 3.0/12, 1.0/12, 3.0/12, 2.0/12};
double ans[5] = {1.0833333333333333, 1.2569444444444444, 1.5353009259259260, 1.6915991512345676, 2.0513639724794235};
double dp[1100000];

void calc(int mx){
  int i, j;
  dp[0] = 0;
  REP(i,1,mx+1){
    dp[i] = 1;
    rep(j,6) if(i-j-1 >= 0) dp[i] += dp[i-j-1] * p[j];
  }
}

int main(){
  int T, N;
  int i, j, k, loop;
  double a, b, c;

  rep(i,6) p[i] = 0;
  rep(k,5){
    a = 0; b = 1;
    rep(i,k) b -= p[i];
    rep(loop,80){
      c = (a+b) / 2;
      p[k] = c;
      p[5] = 1;
      rep(i,5) p[5] -= p[i];
      calc(k+2);
      if(dp[k+2] > ans[k]) b = c; else a = c;
    }
    p[k] = c;
    p[5] = 1;
    rep(i,5) p[5] -= p[i];
  }

  // rep(i,6) printf("%d %.15f\n",i,p[i]);

  calc(1000001);

  scanf("%d",&T);
  while(T--){
    scanf("%d",&N);
    printf("%.15f\n",dp[N]);
  }
  
  return 0;
}