#pragma GCC optimize("O3")
#pragma GCC optimize(2)
#pragma GCC optimize(3)
#pragma GCC optimize("Ofast")
#pragma GCC optimize("inline")
#pragma GCC optimize("-fgcse")
#pragma GCC optimize("-fgcse-lm")
#pragma GCC optimize("-fipa-sra")
#pragma GCC optimize("-ftree-pre")
#pragma GCC optimize("-ftree-vrp")
#pragma GCC optimize("-fpeephole2")
#pragma GCC optimize("-ffast-math")
#pragma GCC optimize("-fsched-spec")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("-falign-jumps")
#pragma GCC optimize("-falign-loops")	
#pragma GCC optimize("-falign-labels")
#pragma GCC optimize("-fdevirtualize")
#pragma GCC optimize("-fcaller-saves")
#pragma GCC optimize("-fcrossjumping") 
#pragma GCC optimize("-fthread-jumps")
#pragma GCC optimize("-funroll-loops")
#pragma GCC optimize("-freorder-blocks")
#pragma GCC optimize("-fschedule-insns")
#pragma GCC optimize("inline-functions")
#pragma GCC optimize("-ftree-tail-merge")
#pragma GCC optimize("-fschedule-insns2")
#pragma GCC optimize("-fstrict-aliasing")
#pragma GCC optimize("-falign-functions")
#pragma GCC optimize("-fcse-follow-jumps")
#pragma GCC optimize("-fsched-interblock")
#pragma GCC optimize("-fpartial-inlining")
#pragma GCC optimize("no-stack-protector")
#pragma GCC optimize("-freorder-functions")
#pragma GCC optimize("-findirect-inlining")
#pragma GCC optimize("-fhoist-adjacent-loads")
#pragma GCC optimize("-frerun-cse-after-loop")
#pragma GCC optimize("inline-small-functions")
#pragma GCC optimize("-finline-small-functions")
#pragma GCC optimize("-ftree-switch-conversion")
#pragma GCC optimize("-foptimize-sibling-calls")
#pragma GCC optimize("-fexpensive-optimizations")
#pragma GCC optimize("inline-functions-called-once")
#pragma GCC optimize("-fdelete-null-pointer-checks")
#pragma GCC optimize("Ofast")
//#pragma GCC target("avx,avx2,fma") 
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") 
//#pragma GCC optimization ("unroll-loops")

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

long double dp[3001];
long double res[3001];

int main(void)
{
	cin.tie(0);
	ios::sync_with_stdio(false);

	for(int n=1;n<=3000;n++)
	{
		double lo = 0;
		double hi = 5e4;
		for (int i = 0; i < 25; i++)
		{
			double mid = (lo + hi) / 2;
			dp[0] = 0;
			for (int j = 1; j <= n; j++)
			{
				dp[j] = 1;
				for (int k = 1; k <= 6; k++)
				{
					if (j - k >= 0)
					{
						dp[j] += (dp[j - k] / 6);
					}
					else
					{
						dp[j] += (mid / 6);
					}
				}
			}
			if (dp[n] > mid)
			{
				lo = mid;
			}
			else
			{
				hi = mid;
			}
		}

		res[n] = (lo + hi) / 2;
	}

	cout << fixed;
	cout.precision(16);
	
	int tc;

	cin >> tc;

	while(tc--)	
	{
		long long int n;
		cin >> n;

		if(n<=3000) cout << res[n] << '\n';
		else cout << n + 0.666666666666667 << '\n';
	}

	return 0;
}