import java.io.*;
import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int m = sc.nextInt();
        ArrayList<HashSet<Integer>> graph = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            graph.add(new HashSet<>());
        }
        for (int i = 0; i < m; i++) {
            int a = sc.nextInt() - 1;
            int b = sc.nextInt() - 1;
            graph.get(a).add(b);
            graph.get(b).add(a);
        }
        ArrayDeque<Integer> deq = new ArrayDeque<>();
        for (int i = 0; i < n; i++) {
            if (graph.get(i).size() == 1) {
                deq.add(i);
            }
        }
        int count = 0;
        while (deq.size() > 0) {
            int x = deq.poll();
            if (graph.get(x).size() == 0) {
                continue;
            }
            count++;
            int y = graph.get(x).iterator().next();
            graph.get(y).remove(x);
            if (graph.get(y).size() == 1) {
                deq.add(y);
            }
        }
        if (count % 2 == 1) {
            System.out.println("Yes");
        } else {
            System.out.println("No");
        }
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public String next() throws Exception {
        if (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
}