#include <bits/stdc++.h>
using namespace std;
const int mod = 998244353;
void solve() {
    double x;
    cin >> x;
    x = 1 / x;
    double ans = 0;
    for (long long i = 0, fc = 1; i <= x; ++i) {
        if (i) fc *= i;
        ans += exp(x - i) / fc * pow(i - x, i);
    }
    cout << fixed << setprecision(9) << ans << endl;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int T = 1;
    cin >> T;

    while (T--) solve();
    return 0;
}