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;
#define pb push_back
#define sz size()
const int N = 1e3 + 5;
vector <int> v[N];
int uzyn[N], par[N], vis[N], bolonok, val;
vector <int> jog;
void dfs (int x, int pr) {
for (int i : v[x]) {
if (i == pr) continue;
uzyn[i] = uzyn[x] + 1;
par[i] = x;
dfs (i, x);
}
}
void barla (int x, int pr) {
// cout << x << " " << pr << "\n";
for (int i : v[x]) {
if (i == pr) continue;
if (vis[i]) continue;
val++;
if (val >= 3) {
bolonok = 1;
}
barla (i, x);
val--;
}
}
int main () {
// freopen ("input1.txt", "r", stdin);
int n, m, subtask1 = 0;
cin >> n >> m;
for (int i = 1; i <= m; ++i) {
int l, r;
cin >> l >> r;
v[l].pb (r);
v[r].pb (l);
if (r - l != 1) subtask1 = 1;
}
if (m >= n) {
cout << "NO\n";
}
else if (n <= 2) {
cout << "YES\n";
cout << n << "\n";
for (int i = 1; i <= n; ++i) {
cout << n << " ";
}
}
else if (!subtask1) {
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 << " ";
}
}
else {
dfs (1, -1);
int a = 0;
for (int i = 1; i <= n; ++i) {
if (uzyn[a] < uzyn[i]) a = i;
}
uzyn[a] = 0;
par[a] = -1;
dfs (a, -1);
int b = 0;
for (int i = 1; i <= n; ++i) {
if (uzyn[b] < uzyn[i]) b = i;
}
int x = b;
while (x != -1) {
vis[x] = 1;
// cout << x << " ";
x = par[x];
}
for (int i = 1; i <= n; ++i) {
if (vis[i]) {
val = 0;
barla(i, -1);
}
}
if (bolonok) cout << "NO";
else {
cout << "YES\n";
x = b;
while (x != -1) {
if (x != a and x != b) {
jog.pb (x);
for (int i : v[x]) {
if (vis[i]) continue;
if ((int)v[i].sz == 1) continue;
jog.pb (i);
jog.pb (x);
}
}
x = par[x];
}
cout << 2 * (int)jog.sz << "\n";
for (int i : jog) cout << i << " ";
reverse (jog.begin(), jog.end());
for (int i : jog) cout << i << " ";
cout << "\n";
}
cout << "\n";
}
}
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