kl.cpp

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*/                              
#include<bits/stdc++.h>
using namespace std;
 
#define fastio ios_base::sync_with_stdio(0); cin.tie(0)
#define LL long long 
#define mod 1000000007 
#define FOR(i, j, k) for (int i=j ; i<k ; i++)
#define ROF(i, j, k) for (int i=j ; i>=k ; i--) 
#define debug(...) fprintf(stderr, __VA_ARGS__), fflush(stderr)
#define time__(d) for(long blockTime = 0; (blockTime == 0 ? (blockTime=clock()) != 0 : false); debug("%s time : %.4fs", d, (double)(clock() - blockTime) / CLOCKS_PER_SEC))

const long long INF = 1e18;
const long long MAX = 1e5+10;
vector<int>adj[MAX*10],dis(MAX*10,1e9),pa(MAX*10,0);
int main(){
    fastio;
    int t=1; //cin>>t;
    while(t--){
        int n,m; cin>>n>>m;
        FOR(i,0,m){
            int x,y; cin>>x>>y;
            adj[x].push_back(y);adj[y].push_back(x);
        }
        set<pair<int,int>>s;
        s.insert({0,1}); dis[1]=0;
        while(!s.empty()){
            auto p = *s.begin();
            s.erase(s.begin());
            int u = p.second;
            for(auto v : adj[u]) {
                if(dis[v]>dis[u]+1) {
                    if(dis[v]!=1e9) s.erase(s.find({dis[v],v}));
                    dis[v]=dis[u]+1;pa[v]=u;
                    s.insert({dis[v],v});
                }
            }
        }
        FOR(i,1,n+1) if(dis[i]==1e9) {cout<<"No"; return 0;}
        cout<<"Yes\n";
        FOR(i,2,n+1) cout<<pa[i]<<"\n";
    }
}