#include <iostream>
#include <vector>

using namespace std;

int main() {
    int T;
    cin >> T;
    
    while (T--) {
        int n;
        cin >> n;

        if (n % 4 == 0 || n % 4 == 3) {
            cout << "impossible" << endl;
        } else if (n % 4 == 1) {
            // Generate sequence: 1, 2, ..., n-1, 0
            for (int i = 1; i < n; i++) {
                cout << i << " ";
            }
            cout << 0 << endl;
        } else if (n % 4 == 2) {
            // Generate sequence: 1, 0, 2, 3, ..., n-1
            cout << "1 0 ";
            for (int i = 2; i < n; i++) {
                cout << i << " ";
            }
            cout << endl;
        }
    }

    return 0;
}