#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using mint = modint;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000

double get(vector<double> die,int K){
	vector<double> dp(K+1,0.0);
	dp.back() = 0.0;
	for(int i=K-1;i>=0;i--){
		rep(j,6){
			int nxt = min(K,i+j+1);
			dp[i] += die[j] * dp[nxt];
		}
		dp[i] += 1.0;
	}
	return dp[0];
}

int main(){
	
	vector<double> die(6,0.0);
	die[5] = 1.0;
	
	vector<double> c = {1.0833333333333333, 1.2569444444444444, 1.5353009259259260, 1.6915991512345676, 2.0513639724794235};
	
	rep(i,5){
		double ok = 0.0,ng = die.back();
		rep(_,100){
			double mid = (ok+ng)/2.0;
			auto temp = die;
			temp[i] = mid;
			temp.back() -= mid;
			if(get(temp,i+2)<c[i])ok = mid;
			else ng = mid;
		}
		die[i] = ok;
		die.back() -= ok;		
	}
	
	int _t;
	cin>>_t;
	
	rep(_,_t){
		int K;
		cin>>K;
		
		cout<<fixed<<setprecision(10)<<get(die,K)<<endl;
	}
	
	return 0;
}