#include <atcoder/all>
#include <bits/stdc++.h>

using namespace std;

//#define DISABLE_PRINT

#if defined(ENABLE_PRINT) && !defined(DISABLE_PRINT)

#define P(...) fprintf(stderr, __VA_ARGS__)
#define LP fprintf(stderr, "L: %d\n", __LINE__)

#else

#define P(...) ((void)0)
#define LP ((void)0)

#endif

#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
#define ALL(x) x.begin(), x.end()

using ll = long long;
using ull = unsigned long long;

double p[6];
const double E[] = {
    0,
    1.0000000000000000,
    1.0833333333333333,
    1.2569444444444444,
    1.5353009259259260,
    1.6915991512345676,
    2.0513639724794235,
};

void setup() {
    p[0] = E[2] - 1;
    p[1] = E[3] - p[0] * E[2] - 1;
    p[2] = E[4] - p[0] * E[3] - p[1] * E[2] - 1;
    p[3] = E[5] - p[0] * E[4] - p[1] * E[3] - p[2] * E[2] - 1;
    p[4] = E[6] - p[0] * E[5] - p[1] * E[4] - p[2] * E[3] - p[3] * E[2] - 1;
    p[5] = 1 - (p[0] + p[1] + p[2] + p[3] + p[4]);
}

void solve() {
    int N;
    cin >> N;

    vector<double> dp(N + 10);
    dp[N] = 0;
    rep(i, N) {
        auto ti = N - 1 - i;
        double u = 0;
        rep(j, 6) {
            u += dp[ti + j + 1] * p[j];
        }
        u += 1;
        dp[ti] = u;
    }

    printf("%.15f\n", dp[0]);
}

int main() {
    setup();
    int T;
    cin >> T;
    rep(i, T) solve();
    return 0;
}