#include <bits/stdc++.h>
using namespace std;
typedef signed long long ll;

#define _P(...) (void)printf(__VA_ARGS__)
#define FOR(x,to) for(x=0;x<(to);x++)
#define FORR(x,arr) for(auto& x:arr)
#define FORR2(x,y,arr) for(auto& [x,y]:arr)
#define ALL(a) (a.begin()),(a.end())
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
template<class T> bool chmax(T &a, const T &b) { if(a<b){a=b;return 1;}return 0;}
template<class T> bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;}
//-------------------------------------------------------

int N,M;
int A[5050],B[5050];
int alive[5050];
int E[5050];
void solve() {
	int i,j,k,l,r,x,y; string s;
	
	cin>>N>>M;
	FOR(i,M) {
		cin>>A[i]>>B[i];
		A[i]--,B[i]--;
		alive[A[i]]++;
		alive[B[i]]++;
		E[i]=1;
	}
	
	int ret=0;
	FOR(i,M) {
		FOR(j,M) if(E[j]) {
			if(alive[A[j]]==1||alive[B[j]]==1) {
				ret++;
				E[j]=0;
				alive[A[j]]--;
				alive[B[j]]--;
			}
		}
	}
	if(ret%2) cout<<"Yes"<<endl;
	else cout<<"No"<<endl;
	
}


int main(int argc,char** argv){
	string s;int i;
	if(argc==1) ios::sync_with_stdio(false), cin.tie(0);
	FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin);
	cout.tie(0); solve(); return 0;
}