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;
const int MAXN = 3e5+1;
int cnt[MAXN+1];
#define pb push_back
#define sz(a) (int)(a.size())
typedef long long int ll;
typedef vector<vector<int>>vii;
vii adj(1111);
bool ok = 1,vis[1111];
void dfs(int v,int u){
vis[v] = 1;
for(int x:adj[v]){
if(x == u)continue;
if(vis[x])ok = 0;
else dfs(x,v);
}
}
int d = 0;
int dfs2(int v,int u){
int d1 = 0,d2 = 0;
vector<int>c;
for(int x:adj[v]){
if(x == u)continue;
int d = dfs2(x,v)+1;
c.pb(d);
if(d > d1){
d2=d1;
d1=d;
}else if(d > d2){
d2=d;
}
}
int cnt = 0;
for(int x:c)if(x > 1)cnt++;
if(cnt>=3)ok = 0;
d=max(d,d1+d2);
return d1;
}
int main()
{
//the graph must be a tree
//if have cycle then bob's possible space never decreases around the cycle
//how to solve when have tree?
//think about search space of bob
//each turn a on state becomes off and turn everything incident to it on
//alice can pick a node and off it
//can she make everything off?
int n,m;
cin>>n>>m;
for(int i=0;i<m;i++){
int v,u;
cin>>v>>u;
adj[v].pb(u);
adj[u].pb(v);
}
dfs(1,0);
if(ok)dfs2(1,0);
if(ok){
dfs2(1,0);
cout<<"YES"<<'\n';
cout<<2<<'\n';
cout<<1<<" "<<1;
}
else cout<<"NO";
}
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