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 <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <queue>
typedef long long llong;
const int MAXN = 300000 + 10;
const int INF  = 1e9;
int n, m;
std::vector <int> order;
std::vector <int> g[MAXN];
void dfs(int node, int par)
{
    order.push_back(node);
    for (const int &u : g[node])
    {
        if (u == par)
        {
            continue;
        }
        dfs(u, node);
        order.push_back(node);
    }
}
void solve()
{
    dfs(1, 0);
    std::cout << "YES\n";
    std::cout << order.size() << '\n';
    for (const int &u : order)
    {
        std::cout << u << ' ';
    }
    std::cout << '\n';
}
void input()
{
    std::cin >> n >> m;
    if (m >= n)
    {
        std::cout << "NO\n";
        exit(0);
    }
    for (int i = 1 ; i <= m ; ++i)
    {
        int u, v;
        std::cin >> u >> v;
        g[u].push_back(v);
        g[v].push_back(u);
    }
}
void fastIOI()
{   
    std::ios_base :: sync_with_stdio(0);
    std::cout.tie(nullptr);
    std::cin.tie(nullptr);
}
int main()
{
    fastIOI();
    input();
    solve();
    return 0;
}
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