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;
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
#define long unsigned long
#define pb push_back
#define mp make_pair
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define lb lower_bound
#define ub upper_bound
#define sz(v) int((v).size())
#define do_not_disturb ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define endl '\n'
void solve() {
int n, m;
cin >> n >> m;
vector <vector <int>> graph(n+1);
vector <int> used(n+1), color(n+1, -1);
for (int i = 1; i <= m; i++) {
int a, b;
cin >> a >> b;
graph[a].pb(b);
graph[b].pb(a);
}
int flag = 0;
function<void(int, int, int)> dfs = [&](int v, int p, int c) {
used[v] = 1;
if (color[v] == -1) color[v] = c;
for (auto to : graph[v]) {
if (used[to]) {
if (used[to] == 1 && to != p) {
flag = 1;
}
continue;
}
dfs(to, v, 1-c);
}
used[v] = 2;
};
dfs(1, 1, 1);
for (int i = 1; i <= n; i++) {
int cnt = 0;
for (auto to : graph[i]) {
if (sz(graph[to]) == 1) continue;
auto x = graph[to][0];
if (x == i) x = graph[to][1];
if (sz(graph[x]) > 1) cnt++;
}
if (cnt > 2) flag = 1;
}
if (flag) {
cout << "NO" << endl;
return;
}
int forbidden, start = 1, forbidden_leaves = 0;
for (int i = 1; i <= n; i++) {
if (sz(graph[i]) == 1) {
start = graph[i][0];
forbidden = color[i];
break;
}
}
for (int i = 1; i <= n; i++) {
if (sz(graph[i]) == 1 && forbidden == color[i]) {
forbidden_leaves++;
}
}
set <int> visited;
vector <int> order;
int add = 1;
function <void(int, int)> dfs2 = [&](int v, int p) {
if (add) {
visited.insert(v);
order.pb(v);
}
if (sz(visited) == n-forbidden_leaves) {
add = 0;
}
for (auto to : graph[v]) {
if (to == p) continue;
if (sz(graph[to]) == 1 && color[to] == forbidden) continue;
dfs2(to, v);
if (add) {
visited.insert(v);
order.pb(v);
}
}
};
dfs2(start, start);
cout << "YES" << endl;
cout << sz(order)*2 << endl;
for (auto to : order) cout << to << ' ';
for (auto to : order) cout << to << ' ';
}
int main() {
do_not_disturb
int t = 1;
//~ cin >> t;
while (t--) {
solve();
}
return 0;
}
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