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<iostream>
using namespace std;
int n,m;
signed main()
{
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>n>>m;
int a,b;
for(int i=1;i<=m;i++)
{
cin>>a>>b;
}
if(m!=n-1)
{
cout<<"NO\n";
return 0;
}
cout<<"YES\n";
if(n==1)
{
cout<<1<<"\n"<<1;
return 0;
}
if(n<=3)
{
cout<<2<<"\n"<<"2 2";
return 0;
}
if(n%2==1)
{
cout<<2*(n-1)-1<<"\n";
cout<<2<<" ";
for(int i=2;i<n;i++)
cout<<i<<" ";
for(int i=2;i<n;i++)
cout<<i<<" ";
}
else
{
cout<<2*(n-1)-2<<"\n";
for(int i=2;i<=n;i++)
cout<<i<<" ";
for(int i=2;i<n-1;i++)
cout<<i<<" ";
}
return 0;
}
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