#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
typedef long long ll;
ld eps=1e12;
ld dp[5000];

bool simurate(ll n,ld mid){
	memset(dp,0,sizeof(dp));
	for(int i=1;i<=n;i++){
		for(int j=1;j<=6;j++){
			if(j>i)	dp[i]+=mid;
			else dp[i]+=dp[i-j];
		}
		dp[i]=dp[i]/6.0+1;
	}
	if(dp[n]>=mid)	return true;
	else 	return false;
}

int main(){
	int t;	cin>>t;
	while(t--){
		ll n;	cin>>n;
		if(n<=200){
			ld left=0,right=2000;
			for(int i=0;i<100;i++){
				ld mid=(left+right)/2;
				if(simurate(n,mid))	left=mid;
				else 	right=mid;
			}
			printf("%.15Lf\n",left);
		}
		else{
			printf("%.15Lf\n",(ld)n+1+(2.0/3.0));
		}
	}
	return 0;
}