/* -*- coding: utf-8 -*-
 *
 * 1610.cc:  No.1610 She Loves Me, She Loves Me Not, ... - yukicoder
 */

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<iostream>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<stack>
#include<list>
#include<queue>
#include<deque>
#include<algorithm>
#include<numeric>
#include<utility>
#include<complex>
#include<functional>
 
using namespace std;

/* constant */

const int MAX_N = 5000;

/* typedef */

typedef vector<int> vi;
typedef queue<int> qi;

/* global variables */

vi nbrs[MAX_N];

/* subroutines */

/* main */

int main() {
  int n, m;
  scanf("%d%d", &n, &m);

  for (int i = 0; i < m; i++) {
    int u, v;
    scanf("%d%d", &u, &v);
    u--, v--;
    nbrs[u].push_back(v);
    nbrs[v].push_back(u);
  }

  qi q;
  for (int u = 0; u < n; u++)
    if (nbrs[u].size() == 1) q.push(u);

  int c = 0;
  while (! q.empty()) {
    int u = q.front(); q.pop();
    if (nbrs[u].size() == 1) {
      c++;
      int v = nbrs[u][0];

      for (vi::iterator vit = nbrs[v].begin(); vit != nbrs[v].end(); vit++)
	if (*vit == u) {
	  nbrs[v].erase(vit);
	  break;
	}
      if (nbrs[v].size() == 1) q.push(v);
    }
  }

  if (c & 1) puts("Yes");
  else puts("No");
  return 0;
}