#include<iostream>
#include<algorithm>
#include<vector>
using namespace std;
using pii = std::pair<int, int>;

int main(){
    int n, m;
    cin >> n >> m;
    vector<vector<int> > G(n);
    vector<pii> deg(n, pii(0,0));
    for(int i = 0; i < n; i++) deg[i] = pii(0, i);
    for(int i = 0; i < m; i++) {
        int x, y;
        cin >> x >> y;
        x--, y--;
        // cout << "x:" << x << " y:" << y << endl;
        G[x].push_back(y);
        G[y].push_back(x);
        deg[x].first++;
        deg[y].first++;
    }
    for(int i = 0; i < n; i++) {
        if(deg[i].first == 0)deg[i].first = 1e9;
    }
    // cout << endl;
    sort(deg.begin(), deg.end());
    vector<int> pos(n);
    for(int i = 0; i < n; i++) {
        pos[deg[i].second] = i;
    }
    int cnt = 0;
    while(deg[0].first == 1){
        int v = deg[0].second;
        // cout << v << endl;
        for(int i = 0; i < G[v].size(); i++) {
            int u = G[v][i];
            int p = pos[u];
            deg[p].first--;
            if(deg[p].first == 0)deg[p].first = 1e9;
        }
        deg[0].first = 1e9;
        cnt++;
        sort(deg.begin(), deg.end());
        for(int i = 0; i < n; i++) {
            pos[deg[i].second] = i;
        }
    // for(int i = 0; i < n; i++) {
    //     cout << deg[i].first << " " << deg[i].second << endl;
    // }
        // cout << deg[0].first << " " << deg[0].second << endl;
        // cout << deg[n-1].first << " " << deg[n-1].second << endl;
    }
    // cout << cnt << endl;
    if(cnt&1) cout << "Yes" << endl;
    else cout << "No" << endl;

}