#![allow(unused_imports)]
use std::cmp::*;
use std::collections::*;
use std::io::Write;
use std::ops::Bound::*;

#[allow(unused_macros)]
macro_rules! debug {
    ($($e:expr),*) => {
        #[cfg(debug_assertions)]
        $({
            let (e, mut err) = (stringify!($e), std::io::stderr());
            writeln!(err, "{} = {:?}", e, $e).unwrap()
        })*
    };
}

fn main() {
    let v = read_vec::<usize>();
    let (n, m) = (v[0], v[1]);
    let mut edges = vec![vec![]; n];
    for i in 0..m {
        let v = read_vec::<usize>();
        let (a, b) = (v[0] - 1, v[1] - 1);
        edges[a].push(b);
        edges[b].push(a);
    }
    let mut cand = BTreeSet::new();
    for i in 0..n {
        if edges[i].len() == 1 && !cand.contains(&edges[i][0]) {
            cand.insert(i);
        }
    }
    let mut num = 0;
    while let Some(&i) = cand.iter().next() {
        if edges[i].is_empty() {
            cand.remove(&i);
            continue;
        }
        let to = edges[i][0];
        edges[i].pop();
        for j in 0..edges[to].len() {
            if edges[to][j] == i {
                edges[to].swap_remove(j);
                if edges[to].len() == 1 {
                    cand.insert(to);
                }
                num += 1;
                break;
            }
        }
        cand.remove(&i);
    }
    if num % 2 == 1 {
        println!("Yes");
    } else {
        println!("No");
    }
}

fn read<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}

fn read_vec<T: std::str::FromStr>() -> Vec<T> {
    read::<String>()
        .split_whitespace()
        .map(|e| e.parse().ok().unwrap())
        .collect()
}