Language: C++

#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("unroll-loops")

#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

#define DEBUG
#ifdef DEBUG
#define debug(...) __f(#__VA_ARGS__, __VA_ARGS__)
	template <typename Arg1>
	void __f(const char* name, Arg1&& arg1)
	{
		cerr << name << " = " << arg1 << endl;
	}
	template <typename Arg1, typename... Args>
	void __f(const char* names, Arg1&& arg1, Args&&... args)
	{
		const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << " = " << arg1 << " || ";
		__f(comma+1, args...);
	}
#else
#define debug(...)
#endif

template <class Ch, class Tr, class Container>
basic_ostream <Ch, Tr> & operator << (basic_ostream <Ch, Tr> & os, Container const& x) {
    os << "{ ";
    for(auto& y : x) os << y << " ; ";
    return os << "}";
}

template <class X, class Y>
ostream & operator << (ostream & os, pair <X, Y> const& p) {
	return os << "[ " << p.first << ", " << p.second << "]" ;
}

#define FAST_IO std::ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define ll long long int
#define pb push_back
#define mp make_pair
#define ld long double
#define sz(a) (ll)(a).size()
#define endl "\n"

// priority_queue<ll, vector<ll>, less<ll>>pq;     // Max Heap
// priority_queue<ll, vector<ll>, greater<ll>>pq;  // Min Heap

typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
//K-th smallest
//cout << k << "kth (1 based indexing) smallest: " << *A.find_by_order(k - 1) << endl;
//NO OF ELEMENTS < X
//cout << "No of elements less than " << X << " are " << A.order_of_key(X) << endl;

const int MAXN = 1e5 + 5;

ll n, m, par[MAXN], vis[MAXN];
vector<ll>adj[MAXN];

void bfs(ll source)
{
	vis[source] = 1;
	queue<ll>q;
	q.push(source);
	while(!q.empty())
	{
		ll p = q.front();
		q.pop();
		for(auto it : adj[p])
		{
			if(vis[it]) continue;
			vis[it] = 1;
			par[it] = p;
			q.push(it);
		}
	}
}

int main()
{
	FAST_IO;

 	cin >> n >> m;
 	for(int i=0;i<m;i++)
 	{
 		ll u, v;
 		cin >> u >> v;
 		adj[u - 1].pb(v - 1);
 		adj[v - 1].pb(u - 1);
 	}   
 	for(int i=0;i<n;i++) par[i] = -1;
 	bfs(0);
 	for(int i=1;i<n;i++)
 	{
 		if(par[i] == -1) 
 		{
 			cout << "No" << endl;
 			return 0;
 		}
 	}
 	cout << "Yes" << endl;
 	for(int i=1;i<n;i++) cout << par[i] + 1 << endl;
    return 0;
}

Compiler output:
In file included from /usr/include/c++/14/string:43,
                 from /usr/include/c++/14/bitset:52,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:52,
                 from a.cc:5:
/usr/include/c++/14/bits/allocator.h: In destructor 'std::_Vector_base<long long int, std::allocator<long long int> >::_Vector_impl::~_Vector_impl()':
/usr/include/c++/14/bits/allocator.h:182:7: error: inlining failed in call to 'always_inline' 'std::allocator< <template-parameter-1-1> >::~allocator() noexcept [with _Tp = long long int]': target specific option mismatch
  182 |       ~allocator() _GLIBCXX_NOTHROW { }
      |       ^
In file included from /usr/include/c++/14/vector:66,
                 from /usr/include/c++/14/functional:64,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:53:
/usr/include/c++/14/bits/stl_vector.h:132:14: note: called from here
  132 |       struct _Vector_impl
      |              ^~~~~~~~~~~~