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;
vector<vector<int>> g;
int MAX_DEP = 0;
vector<int> ans;
void dfs(int x, int p) {
if (g[x].size() == 1 && p != 0) return;
ans.push_back(x);
for (auto child : g[x]) {
if (child == p) continue;
dfs(child,x);
}
ans.push_back(x);
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(nullptr);
int n, m; cin >> n >> m;
g.resize(n + 1);
for (int i = 0; i < m; ++i) {
int a, b; cin >> a >> b;
g[a].push_back(b);
g[b].push_back(a);
}
if (m != n -1) {
cout << "NO\n";
return 0;
}
if (n == 1) {
cout << "YES\n";
cout << "1\n";
cout << "1\n";
return 0;
}
vector<int> siz(n + 1);
for (int i = 1; i <= n; ++i) {
if (g[i].size() == 1) {
siz[i]--;
for (auto child : g[i]) {
siz[child]--;
}
}
siz[i]+= g[i].size();
}
for (int i = 1; i <= n; ++i) {
if (siz[i] == 1 && g[i].size() <= 3) {
for (auto child : g[i])
siz[child]--;
}
}
for (int i = 1; i <= n; ++i) {
if (siz[i] > 2) {
cout << "NO\n";
return 0;
}
}
dfs(1,0);
cout << "YES\n";
cout << ans.size() << "\n";
for (auto x: ans) {
cout << x << " ";
}
return 0;
}
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