// #includes {{{
#ifdef MY_DEBUG
#include "header/header.hpp"
#else
#include <bits/stdc++.h>
#endif

using namespace std;

#define REP(i,n) for(int i=0;i<(int)(n);++i)
#define RREP(i,a,b) for(int i=(int)(a);i<(int)(b);++i)
#define FOR(i,c) for(__typeof((c).begin()) i=(c).begin();i!=(c).end();++i)
#define LET(x,a) __typeof(a) x(a)
//#define IFOR(i,it,c) for(__typeof((c).begin())it=(c).begin();it!=(c).end();++it,++i)
#define ALL(c) (c).begin(), (c).end()
#define MP make_pair

#define EXIST(e,s) ((s).find(e)!=(s).end())

#define RESET(a) memset((a),0,sizeof(a))
#define SET(a) memset((a),-1,sizeof(a))
#define PB push_back
#define DEC(it,command) __typeof(command) it=command

//debug
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;
#define debug_v(x) cerr << #x << " = [";REP(__ind,(x).size()){cerr << (x)[__ind] << ", ";}cerr << "] (L" << __LINE__ << ")" << endl;

#define whole(f,x,...) ([&](decltype((x)) whole) { return (f)(begin(whole), end(whole), ## __VA_ARGS__); })(x)

typedef long long Int;
typedef unsigned long long uInt;
typedef long double rn;

template<class T>
T inf(){
	return numeric_limits<T>::has_infinity?numeric_limits<T>::infinity():(numeric_limits<T>::max()/2);
}

typedef pair<int,int> pii;

#ifdef MY_DEBUG
#include"debug.hpp"
#include"print.hpp"
#endif
// }}}


//{{{ io
FILE *file_in=stdin,*file_out=stdout;
#define fin normal_in
#define fout normal_out
//const char fname[]="";
//FILE *fin=fopen(fname,"r"),*fout=fopen(fname,"w");
#ifdef __MINGW32__
#define LLD "%I64d"
#define LLU "%I64u"
#else
#define LLD "%lld"
#define LLU "%llu"
#endif
struct NORMAL_IN{
	bool cnt;
	NORMAL_IN():cnt(true){}
	operator int() const {return cnt;}
#define endl "\n"
	NORMAL_IN& operator>>(int &n){cnt=fscanf(file_in,"%d",&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(unsigned int &n){cnt=fscanf(file_in,"%u",&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(long long &n){cnt=fscanf(file_in,LLD,&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(unsigned long long &n){cnt=fscanf(file_in,LLU,&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(double &n){cnt=fscanf(file_in,"%lf",&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(long double &n){cnt=fscanf(file_in,"%Lf",&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(char *c){cnt=fscanf(file_in,"%s",c)!=EOF;return *this;}
	NORMAL_IN& operator>>(string &s){
		s.clear();
		for(bool r=false;;){
			const char c=getchar();
			if(c==EOF){ cnt=false; break;}
			const int t=isspace(c);
			if(!r and !t)r=true;
			if(r){
				if(!t)s.push_back(c);
				else break;
			}
		}
		return *this;
	}
	template<class T>
		NORMAL_IN& operator>>(vector<T> &v){
			int v_size = v.size();
			REP(i,v_size){
				*this>>v[i];
			}
			return *this;
		}
} normal_in;

struct NORMAL_OUT{
	NORMAL_OUT& operator<<(const int &n){fprintf(file_out,"%d",n);return *this;}
	NORMAL_OUT& operator<<(const unsigned int &n){fprintf(file_out,"%u",n);return *this;}
	NORMAL_OUT& operator<<(const long long &n){fprintf(file_out,LLD,n);return *this;}
	NORMAL_OUT& operator<<(const unsigned long long &n){fprintf(file_out,LLU,n);return *this;}
	NORMAL_OUT& operator<<(const double &n){fprintf(file_out,"%lf",n);return *this;}
	NORMAL_OUT& operator<<(const long double &n){fprintf(file_out,"%Lf",n);return *this;}
	NORMAL_OUT& operator<<(const char c[]){fprintf(file_out,"%s",c);return *this;}
	NORMAL_OUT& operator<<(const string &s){fprintf(file_out,"%s",s.c_str());return *this;}
} normal_out;
struct ERR_OUT{
	template<class T>
		ERR_OUT& operator<<(const T &a){
			cerr<<"\x1b[7m"<<a<<"\x1b[m";
			return *this;
		}
} ferr;
//}}}


Int M;
Int N;
vector<Int> a;
vector<Int> b;

void solve(){
	vector<int> deg(N,0);
	vector<vector<int> > adj(N);
	REP(i,M)deg[a[i]]++,deg[b[i]]++, adj[a[i]].push_back(b[i]), adj[b[i]].push_back(a[i]);
//	unordered_map<int,int> deg_count;
	bool deg6 = false;
	vector<int> deg4;
	REP(u,N){
		if(deg[u]%2==1){
			fout<<"No"<<endl;
			return;
		}else if(deg[u]>=6){
			deg6 = true;
		}
		if(deg[u]==4){
			deg4.push_back(u);
		}
	}
	if(deg6){
		fout<<"Yes"<<endl;
		return;
	}
	if(deg4.size()>=3){
		fout<<"Yes"<<endl;
	}else if(deg4.size()<=1){
		fout<<"No"<<endl;
	}else{
		//deg4_count==2
		int s = deg4[0], t = deg4[1];
		assert(adj[s].size()==4);
		function<int(int,int)> dfs = [&](int u,int p){
			if(adj[u].size()==4){
				return u;
			}
			assert(adj[u].size()==2);
			for(auto &v:adj[u]){
				if(v==p)continue;
				return dfs(v,u);
			}
			assert(false);
			return 0;
		};
		vector<int> dst(4);
		REP(i,4){
			dst[i] = dfs(adj[s][i],s);
		}
		int tc = 0;
		REP(i,4){
			if(dst[i]==t)tc++;
		}
		if(tc==2){
			fout<<"Yes"<<endl;
		}else{
			fout<<"No"<<endl;
		}
	}
}

//{{{ main function
int main(){	
	fin >> N;
	fin >> M;
	a.assign(M-1+1,Int());
	b.assign(M-1+1,Int());
	for(int i = 0 ; i <= M-1 ; i++){
		fin >> a[i];
		fin >> b[i];
		a[i]--;b[i]--;
	}
	solve();
	return 0;
}
//}}}


Measured memory_bytes: 8448