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;
const int MAXN = 1e3 + 25;
vector <int> adj[MAXN];
int n, m;
int cnt = 0;
void dfs (int pos, int par, int dep = 0) {
if (dep == 3) {
cnt++;
return;
}
for (auto j : adj[pos]) if (j != par) dfs(j, pos, dep + 1);
}
int main () {
cin >> n >> m;
bool flag = 1;
for (int i = 1; i <= m; i++) {
int a, b;
cin >> a >> b;
if (a > b) swap(a, b);
flag &= a + 1 == b;
adj[a].push_back(b);
adj[b].push_back(a);
}
if (m != n - 1) {
cout << "NO\n";
return 0;
}
if (flag) {
cout << "YES\n";
if (n == 1) {
cout << "1\n1\n";
return 0;
}
if (n == 2) {
cout << "2\n2 2\n";
return 0;
}
cout << 2 * (n - 2) << '\n';
for (int i = 2; i < n; i++) cout << i << " ";
for (int i = n - 1; i >= 2; i--) cout << i << " ";
cout << '\n';
return 0;
}
for (int i = 1; i <= n; i++) {
if (adj[i].size() >= 3) {
cnt = 0;
dfs(i, -1);
if (cnt >= 3) {
cout << "NO\n";
return 0;
}
}
}
cout << "YES\n";
}
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