#include using namespace std; using ll = long long; using pi = pair; using vpi = vector; using vi = vector; using vll = vector; using mpii = map; using mpll = map; using db = long double; #define pb push_back #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define lb lower_bound #define ub upper_bound const int MOD = (int)1e9 + 7; const db PI = acos((db)-1); const int dx[4]{1, 0, -1, 0}; const int dy[4]{0, 1, 0, -1}; //pretty printing template void printm(const map &mp) { cerr << "{" << endl; for (auto p : mp) { cerr << " { " << p.first << " : " << p.second << " }\n"; } cerr << "}" << endl; } template void printv(const vector &v) { cerr << "["; for (int i = 0; i < v.size(); i++) { if (i == v.size() - 1) { cerr << v[i]; } else { cerr << v[i] << ", "; } } cerr << "]\n"; } template void printvv(const vector> &v) { cerr << "[\n"; for (auto &vec : v) { cout << " "; printv(vec); } cerr << "]\n"; } void print() { cerr << "\n"; } template void print(T val, TS... vals) { cerr << val << " "; print(vals...); } /* stuff you should look for: --------------------------- * special cases (n=1?) * int overflow, array bounds * do smth instead of nothing and stay organized * WRITE STUFF DOWN * DON'T GET STUCK ON ONE APPROACH */ void solve() { ll n; cin >> n; ll sum = (n * (n + 1)) / 2; vi v1 = {3, 4, 1, 2}; vi v2 = {1, 2, 4, 6, 3, 5}; if (sum % n == 0) { cout << -1 << '\n'; } else { vi ans(n); if (n == 2) { cout << 1 << " " << 2 << '\n'; } else if (n == 4) { for (auto x : v1) { cout << x << ' '; } cout << '\n'; } else if (n == 6) { for (auto x : v2) { cout << x << ' '; } cout << '\n'; } else { for (int i = 7; i <= n; i++) { if (i % 2 == 1) { v2.push_back(i + 1); } else { v2.push_back(i - 1); } } for (auto x : v2) { cout << x << ' '; } cout << '\n'; } } } int main () { ios_base::sync_with_stdio(false); cin.tie(NULL); int tt; cin >> tt; while(tt--) { solve(); } }