/* Aa^~ kokoro ga pyonpyon suru n jaa^~
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*/

#include <bits/stdc++.h>
using namespace std;

using VI = vector<int>;
using VVI = vector<VI>;
using PII = pair<int, int>;
using LL = long long;
using VL = vector<LL>;
using VVL = vector<VL>;
using PLL = pair<LL, LL>;
using VS = vector<string>;

#define ALL(a)  begin((a)),end((a))
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define MT make_tuple
#define SZ(a) int((a).size())
#define SORT(c) sort(ALL((c)))
#define RSORT(c) sort(RALL((c)))
#define UNIQ(c) (c).erase(unique(ALL((c))), end((c)))

#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)  FOR(i,0,n)

#define FF first
#define SS second

template<class S, class T>
istream& operator>>(istream& is, pair<S,T>& p){
  return is >> p.FF >> p.SS;
}
template<class T>
istream& operator>>(istream& is, vector<T>& xs){
  for(auto& x: xs)
	is >> x;
  return is;
}
template<class S, class T>
ostream& operator<<(ostream& os, const pair<S,T>& p){
  return os << p.FF << " " << p.SS;
}
template<class T>
ostream& operator<<(ostream& os, const vector<T>& xs){
  for(unsigned int i=0;i<xs.size();++i)
	os << (i?" ":"") << xs[i];
  return os;
}
template<class T>
void maxi(T& x, T y){
  if(x < y) x = y;
}
template<class T>
void mini(T& x, T y){
  if(x > y) x = y;
}
void debug(istringstream&){}
template <char sep=',', class Head, class... Tail>
void debug(istringstream& iss, Head&& head, Tail&&... tail)
{
  string name;
  getline(iss, name, ',');
  cout << sep << name << "=" << head;
  debug(iss, forward<Tail>(tail)...);
}

#ifdef PYONPOI
#define DEBUG(...) \
  do{ \
    istringstream ss(#__VA_ARGS__); \
    debug<' '>(ss, __VA_ARGS__); \
    cout<<endl; \
  }while(0)
#else
#define DEBUG
#endif


const double EPS = 1e-10;
const double PI  = acos(-1.0);
const LL MOD = 1e9+7;


using Graph = vector<set<int>>;
int dfs(Graph& G, int u, vector<bool>& vis, int& cnt){
  if(vis[u]){
    ++cnt;
    return u;
  }

  vis[u] = true;
  while(!G[u].empty()){
    int to = *begin(G[u]);
    G[u].erase(to);
    G[to].erase(u);
    int r = dfs(G, to, vis, cnt);
    if(r != u){
      vis[u] = false;
      return r;
    }
  }
  vis[u] = false;

  return -1;
}

struct Timer{
  chrono::system_clock::time_point start;
  int mLim;
  Timer(){
	start = chrono::system_clock::now();
  }

  void SetLimit(int lim){
	mLim = lim;
  }

  // milli seconds
  bool TLE(int lim = -1) const{
	if(lim < 0) lim = mLim;
	auto crt = chrono::system_clock::now();
	return chrono::duration_cast<chrono::milliseconds>(crt - start).count() > lim;
  }
};


int main(){
  Timer timer;
  timer.SetLimit(1900);

  cin.tie(0);
  ios_base::sync_with_stdio(false);

  int N, M;
  cin >> N >> M;

  vector<PII> es(M);  
  REP(i,M){
    int u, v;
    cin >> u >> v;
    --u;
    --v;
    es[i] = MP(u, v);
  }
  
  Graph G(N);

  REP(i,M){
    int u = es[i].FF, v = es[i].SS;
    G[u].insert(v);
    G[v].insert(u);
  }

  REP(i,N){
    if(SZ(G[i]) % 2){
      cout << "No" << endl;
      return 0;
    }
  }

  VI perm(N);
  iota(ALL(perm), 0);
  std::mt19937 engine(0);

  while(!timer.TLE()){
    int cnt = 0;
    vector<bool> vis(N);
    REP(i,N){
      while(!G[i].empty()){
        dfs(G, i, vis, cnt);
      }
    }

    if(cnt >= 3){
      cout << "Yes" << endl;
      return 0;
    }

    shuffle(ALL(perm), engine);
    REP(i,N) G[i].clear();
    REP(i,M){
      int u = perm[es[i].FF], v = perm[es[i].SS];
      G[u].insert(v);
      G[v].insert(u);
    }
  }
  cout << "No" << endl;

  return 0;
}

Measured memory_bytes: 21504