This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define mp make_pair
using namespace std;
void db() {cout << endl;}
template <typename T, typename ...U> void db(T a, U ...b) {
//return;
cout << a << ' ', db(b...);
}
#ifdef Cloud
#define file freopen("input.txt", "r", stdin), freopen("output.txt", "w", stdout)
#else
#define file ios::sync_with_stdio(false); cin.tie(0)
#endif
const int N = 3001;
void solve(){
int n, q;
cin >> n >> q;
bool stay[n + 1]{};
for (int p, i = 0; i < q; i++) cin >> p, stay[p] = 1;
set<pair<int, int>> s;
for (int i = 1; i <= n; i++) s.insert({i, stay[i]});
deque<int> ans;
for (auto i : s){
if (i.se == 0) {
auto it = s.upper_bound(i);
auto it2 = s.lower_bound(i);
if (it == s.end() or it2 == s.begin()) continue;
it2--;
auto u = *it2, v = *it;
if (u.se or v.se) continue;
ans.push_back(i.fi);
s.erase(u);
s.erase(v);
}
else for (int t = 0; t < 2; t++){
auto it = s.upper_bound(i);
auto it2 = s.lower_bound(i);
if (it == s.end() or it2 == s.begin()) continue;
it2--;
auto u = *it2, v = *it;
if (u.se or v.se) continue;
ans.push_back(i.fi);
s.erase(u);
s.erase(v);
}
}
vector<int> v;
for (auto i : s)
if (i.se == 0)
v.push_back(i.fi);
if (!v.empty() and v.size() != 2) return void(cout << -1 << '\n');
if (!v.empty() and v[0] != v[1] - 1) return void(cout << -1 << '\n');
if (!v.empty() and (v[0] == 0 or stay[v[0] - 1])) return void(cout << -1 << '\n');
if (!v.empty()) ans.push_front(v[0]);
cout << ans.size() << '\n';
for (int i : ans) cout << i << ' ';
cout << '\n';
}
signed main(){
file;
int t;
cin >> t;
while (t--)
solve();
}
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