This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//khodaya khodet komak kon
# include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair <int, int> pii;
typedef pair <pii, int> ppi;
typedef pair <int, pii> pip;
typedef pair <pii, pii> ppp;
typedef pair <ll, ll> pll;
# define A first
# define B second
# define endl '\n'
# define sep ' '
# define all(x) x.begin(), x.end()
# define kill(x) return cout << x << endl, 0
# define SZ(x) int(x.size())
# define lc id << 1
# define rc id << 1 | 1
# define fast_io ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
ll power(ll a, ll b, ll md) {return (!b ? 1 : (b & 1 ? a * power(a * a % md, b / 2, md) % md : power(a * a % md, b / 2, md) % md));}
const int xn = 1e3 + 10;
const int xm = - 20 + 10;
const int sq = 320;
const int inf = 1e9 + 10;
const ll INF = 1e18 + 10;
const ld eps = 1e-15;
const int mod = 998244353;
const int base = 257;
int n, m;
vector <int> adj[xn];
int main(){
fast_io;
cin >> n >> m;
for (int i = 1; i <= m; ++ i){
int v, u;
cin >> v >> u;
adj[v].push_back(u);
adj[u].push_back(v);
}
if (n == 1){
cout << "YES" << endl;
cout << 1 << endl;
cout << 1 << endl;
return 0;
}
if (n == 2){
cout << "YES" << endl;
cout << 2 << endl;
cout << 1 << sep << 1 << endl;
return 0;
}
if (n == 3){
cout << "YES" << endl;
cout << 2 << endl;
cout << 2 << sep << 2 << endl;
return 0;
}
if (n == 4){
cout << "YES" << endl;
cout << 4 << endl;
cout << "2 3 3 2" << endl;
return 0;
}
kill("NO");
return 0;
}
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