//https://ncode.syosetu.com/n4830bu/301/
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

double maine(ll K) {
    if (K < 200) {
        double dp[210] = {}, prob[210] = {};
        prob[0] = 1;
        double ret = 0;
        for (int i = 0; i < K; i++) {
            for (int j = 1; j <= 6; j++) {
                if (i + j <= K) {
                    dp[i + j] += (dp[i] + prob[i]) / 6;
                    prob[i + j] += prob[i] / 6;
                } else {
                    ret += (dp[i] + prob[i]) / 6;
                }
            }
        }
        ret /= 1 - prob[K];
        return dp[K] / prob[K] + ret * (1 - prob[K]) / prob[K];
    } else
        return (double)K + 5.0 / 3.0;
}

int main() {
    int N;
    cin >> N;
    while (N--) {
        ll T;
        cin >> T;
        cout << fixed << setprecision(13) << maine(T) << endl;
    }
}