using System.Linq;
using System.Collections.Generic;
using System;

public class Hello
{
    static void Main()
    {
        string[] line = Console.ReadLine().Trim().Split(' ');
        var n = int.Parse(line[0]);
        var m = int.Parse(line[1]);
        var aa = new List<int>[n];
        for (int i = 0; i < n; i++) aa[i] = new List<int>();
        var es = new int[n];
        for (int i = 0; i < m; i++)
        {
            line = Console.ReadLine().Trim().Split(' ');
            var a = int.Parse(line[0]) - 1;
            var b = int.Parse(line[1]) - 1;
            aa[a].Add(b);
            aa[b].Add(a);
            es[a]++;
            es[b]++;
        }
        getAns(n, aa, es);
    }
    static void getAns(int n, List<int>[] aa, int[] es)
    {
        var q = new Queue<int>();
        var deleted = new bool[n];
        for (int i = 0; i < n; i++)
        {
            if (es[i] == 1) q.Enqueue(i);
        }
        var count = 0;
        while (q.Count() > 0)
        {
            var w = q.Dequeue();
            deleted[w] = true;
            if (es[w] == 0) continue;
            foreach (var x in aa[w])
            {
                if (deleted[x]) continue;
                if (es[x] >= 1)
                {
                    es[x]--;
                    count++;
                    if (es[x] == 1) q.Enqueue(x);
                }
            }
        }
        Console.WriteLine(count % 2 == 1 ? "Yes" : "No");
    }
}