This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifdef LOCAL
#include <iostream>
#include <fstream>
#include <iomanip>
#include <cassert>
#include <random>
#include <vector>
#include <queue>
#include <stack>
#include <set>
#include <map>
#else
#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
#define cerr if (false) cerr
#define endl '\n'
#endif
#define fi first
#define se second
#define sz(a) ((int)(a).size())
#define all(a) (a).begin(), (a).end()
#define lsb(x) (x & (-x))
#define bit(mask, i) (((mask) >> (i)) & 1)
#define popcount(x) __builtin_popcount(x)
#define YES cout << "YES" << endl
#define NO cout << "NO" << endl
using namespace std;
template <typename T>
bool ckmax(T &a, T b) { return a < b ? a = b, true : false; }
template <typename T>
bool ckmin(T &a, T b) { return a > b ? a = b, true : false; }
using ll = long long;
using pii = pair<int, int>;
const int NMAX = 1e5+5;
struct Node {
bool removed;
int l, r;
};
int n, q;
Node a[NMAX];
vector<int> ans;
bool ap[NMAX];
void node_remove(int u) {
a[u].removed = true;
int l = a[u].l, r = a[u].r;
a[l].r = r;
a[r].l = l;
}
void read() {
cin >> n >> q;
fill(ap, ap + n + 1, 0);
for (int i = 1, x; i <= q; i++) {
cin >> x;
ap[x] = 1;
}
}
void solve() {
if ((n - q) % 2 == 1) {
cout << -1 << endl;
return;
}
ap[0] = ap[n + 1] = 1;
for (int i = 1; i <= n; i++)
a[i] = { 0, i - 1, i + 1 };
ans.clear();
for (int i = 1; i <= n; i++) {
if (ap[i] || a[i].removed) continue;
while (!ap[a[i].l] && !ap[a[i].r]) {
node_remove(a[i].l);
node_remove(a[i].r);
ans.push_back(i);
}
}
for (int i = 1; i <= n; i++) {
if (a[i].removed) continue;
while (!ap[a[i].l] && !ap[a[i].r]) {
node_remove(a[i].l);
node_remove(a[i].r);
ans.push_back(i);
}
}
if (int(ans.size()) != (n - q) / 2) {
cout << -1 << endl;
return;
}
cout << ans.size() << endl;
for (auto &it : ans)
cout << it << ' ';
cout << endl;
}
signed main() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int t = 1;
cin >> t;
while (t--) {
read();
solve();
}
return 0;
}
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