This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
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#include <bits/stdc++.h>
using namespace std;
#define endl "\n"
vector <int> v[3001];
int f[3001][3001];
int type[3001];
int b,r;
void dfs(int i,int cnt){
if(type[i]!=0) return;
type[i]=(cnt%2)+2;
if(cnt%2==0) r++;
else b++;
for(int j:v[i]) dfs(j,cnt+1);
return;
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int n,m;
cin>>n>>m;
for(int i=0;i<m;i++){
int a,b;
cin>>a>>b;
f[a][b]=1;
f[b][a]=1;
}
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
if(i!=j&&f[i][j]==0) v[i].push_back(j);
}
}
dfs(1,0);
int cnt=n/3;
if(r>=b){
for(int i=1;i<=n&&cnt>0;i++){
if(type[i]==2){
cout<<i<<" ";
cnt--;
}
}
}
else{
for(int i=1;i<=n&&cnt>0;i++){
if(type[i]==1){
cout<<i<<" ";
cnt--;
}
}
}
return 0;
}
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