#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
inline int power(int a, int b) {
int x = 1;
while (b) {
if (b & 1) x *= a;
a *= a;
b >>= 1;
}
return x;
}
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
//_ ***************************** START Below *******************************
void consistency(int n) {
int totalSum = n*(n+1)/2;
if(totalSum & 1){
cout << -1 << endl;
return;
}
int halfSum = totalSum/2;
vector<int> subset;
int sum = 0;
int i=1;
while(sum + i <= halfSum){
sum += i;
subset.push_back(i);
i++;
}
int last = subset.back();
subset.pop_back();
sum -= last;
subset.push_back(n);
sum += n;
vector<int> a, b;
b.push_back(last);
while(i<n){
b.push_back(i);
i++;
}
int remove = sum - halfSum;
for(int i=0; i<subset.size(); i++){
if(subset[i] == remove ){
b.push_back(subset[i]);
}
else {
a.push_back(subset[i]);
}
}
sort(begin(b), end(b));
vector<int> p;
for(int i=0; i<a.size(); i++){
cout << a[i] << " ";
}
cout << " | ";
for(int i=0; i<b.size(); i++){
cout << b[i] << " ";
}
cout << endl;
}
void solve() {
int n;
cin >> n ;
consistency(n);
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
}
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