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>
using namespace std;
int n, m;
vector<vector<int>> adj;
void load() {
cin >> n >> m;
adj.resize(n);
for (int i = 0; i < m; ++i) {
int a, b;
cin >> a >> b;
--a; --b;
adj[a].push_back(b);
adj[b].push_back(a);
}
}
int const N = 1024;
bitset<N> bio;
void solve2() {
if (n <= 3) {
cout << "YES\n";
cout << "2\n2 2\n";
return;
}
cout << "YES\n";
cout << 2 * n - 4 << '\n';
for (int i = 2; i < n; ++i) {
cout << i << ' ';
}
for (int i = n - 1; i > 1; --i) {
cout << i << ' ';
}
cout << '\n';
}
bool isLine() {
for (int i = 0; i < n - 1; ++i) {
bool good = false;
for (auto u : adj[i]) {
good |= (u == i + 1);
}
if (!good) return false;
}
return true;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
load();
if (m >= n) {
cout << "NO\n";
return 0;
}
if (n == 1) {
cout << "YES\n";
cout << "1\n1\n";
return 0;
}
if (isLine()) {
solve2();
return 0;
}
cout << "YES\n";
cout << 3 * n << '\n';
for (int k = 0; k < 3; ++k) {
for (int i = 1; i <= n; ++i) {
cout << i << ' ';
}
}
cout << '\n';
return 0;
}
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