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;
int a,b,c,d,e,i,j,ii,jj,zx,xc,p[5009],pi,kl[1003][1003],DP[1009];
vector <int> v[1009];
void print(){
cout<<"YES\n";
cout<<pi<<"\n";
for(i=1; i<=pi; i++){
cout<<p[i]<<" ";
}
exit(0);
}
void dfs(int q, int w, int rr){
e=max(e,rr);
for(vector <int>::iterator it=v[q].begin(); it!=v[q].end(); it++){
if((*it)==w) continue;
dfs((*it),q,rr+1);
}
}
void dfs2(int q, int w){
if(DP[q]-kl[q][w]==0){
cout<<"YES";
exit(0);
}
for(vector <int>::iterator it=v[q].begin(); it!=v[q].end(); it++){
if((*it)==w) continue;
if(DP[q]-kl[q][w]-kl[q][(*it)]!=0) continue;
dfs2((*it),q);
}
}
int main(){
ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
cin>>a>>b;
for(i=1; i<=b; i++){
cin>>c>>d;
v[c].push_back(d);
v[d].push_back(c);
}
if(a==1){
pi=1;p[1]=1;
print();
}
if(a==2){
pi=2;p[1]=1;p[2]=1;
print();
}
if(b!=a-1){
cout<<"NO";
return 0;
}
for(i=1; i<=a; i++){
for(vector <int>::iterator it=v[i].begin(); it!=v[i].end(); it++){
e=0;
dfs((*it),i,1);
if(e>2){
kl[i][(*it)]=1;DP[i]++;
}
}
}
for(i=1; i<=a; i++){
dfs2(i,0);
}
cout<<"NO";
return 0;
}
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