module main;
// https://yang33-kassa.jp/yukicoder/yukicoder076/ より
import std;

void main()
{
	auto T = readln.chomp.to!int;
	// 動的計画法
	auto E = [
		0.0,
		1.0000000000000000,
		1.0833333333333333,
		1.2569444444444444,
		1.5353009259259260,
		1.6915991512345676,
		2.0513639724794235
	];
	auto p = 0.0.repeat(7).array;
	auto dp = 0.0.repeat(10 ^^ 6 + 1).array;
	foreach (i; 1 .. 6) {
		p[i] = E[i + 1] - 1.0;
		foreach (j; 1 .. i)
			p[i] -= p[j] * E[i + 1 - j];
	}
	p[6] = 1.0 - sum(p[0 .. 6]);
	foreach (i; 0 .. 7)
		dp[i] = E[i];
	foreach (i; 7 .. 10 ^^ 6 + 1) {
		double x = 1.0;
		foreach (j; 1 .. 7)
			x += p[j] * dp[i - j];
		dp[i] = x;
	}
	// キューの処理
	foreach (_; 0 .. T) {
		auto N = readln.chomp.to!int;
		writefln("%.12f", dp[N]);
	}
}