#include<bits/stdc++.h>
using namespace std;
using Int = long long;
template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}
template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}


struct Precision{
  Precision(){
    cout<<fixed<<setprecision(12);
  }
}precision_beet;

//INSERT ABOVE HERE
signed main(){
  const int MAX = 1e6+100;
  vector<double> dp(MAX);
  dp[1]=1.0000000000000000;
  dp[2]=1.0833333333333333;
  dp[3]=1.2569444444444444;
  dp[4]=1.5353009259259260;
  dp[5]=1.6915991512345676;
  dp[6]=2.0513639724794235;
  vector<double> p(7);
  p[1]=1.0/12;
  p[2]=2.0/12;
  p[3]=3.0/12;
  p[4]=1.0/12;
  p[5]=3.0/12;
  p[6]=2.0/12;

  for(int i=7;i<MAX;i++){
    dp[i]=1;
    for(int j=1;j<=6;j++) dp[i]+=dp[i-j]*p[j];
  }
  
  int t;
  cin>>t;
  while(t--){
    int n;
    cin>>n;
    cout<<dp[n]<<endl;
  }
  return 0;
}