/**
*    author:  shu8Cream
*    created: 03.02.2023 22:26:17
**/

#include <bits/stdc++.h>
using namespace std;
#define overload3(a,b,c,d,...) d
#define rep1(i,n) for (int i=0; i<(n); i++)
#define rep2(i,a,n) for (int i=(a); i<(n); i++)
#define rep(...) overload3(__VA_ARGS__, rep2, rep1)(__VA_ARGS__)
#define rrep1(i,n) for (int i=(n-1); i>=0; i--)
#define rrep2(i,a,n) for (int i=(n-1); i>=(a); i--)
#define rrep(...) overload3(__VA_ARGS__, rrep2, rrep1)(__VA_ARGS__)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) int((x).size())
#define pcnt __builtin_popcountll
using ll = long long;
using P = pair<ll,ll>;
template<typename T> using vc = vector<T>;
template<typename T> using vv = vc<vc<T>>;
using vi = vc<ll>;
using vvi = vv<ll>;
const int INF = 1e9;
const ll LINF = 8e18;
template<typename T>istream& operator>>(istream&i,vc<T>&v){rep(j,sz(v))i>>v[j];return i;}
template<typename T>string join(const T&v,const string& d=""){stringstream s;rep(i,sz(v))(i?s<<d:s)<<v[i];return s.str();}
template<typename T>ostream& operator<<(ostream&o,const vc<T>&v){if(sz(v))o<<join(v," ");return o;}
template<typename T1,typename T2>istream& operator>>(istream&i,pair<T1,T2>&v){return i>>v.first>>v.second;}
template<typename T1,typename T2>ostream& operator<<(ostream&o,const pair<T1,T2>&v){return o<<v.first<<","<<v.second;}
template<class T> inline bool chmax(T& a, T b) {if(a<b) { a=b;return true; } return false;}
template<class T> inline bool chmin(T& a, T b) {if(a>b) { a=b;return true; } return false;}

template <class T> string to_string(T s);
template <class S, class T> string to_string(pair<S, T> p);
string to_string(char c) { return string(1, c); }
string to_string(string s) { return s; }
string to_string(const char s[]) { return string(s); }

template <class T>
string to_string(T v) {
    if (v.empty()) return "{}";
    string ret = "{";
    for (auto x : v) ret += to_string(x) + ",";
    ret.back() = '}';
    return ret;
}
template <class S, class T>
string to_string(pair<S, T> p) {
    return "{" + to_string(p.first) + ":" + to_string(p.second) + "}";
}

void debug_out() { cout << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cout << to_string(H) << " ";
    debug_out(T...);
}

#ifdef _DEBUG
#define debug(...) debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif

struct UnionFind{
    vector<int> par;
    UnionFind(){}
    UnionFind(int n=0): par(n, -1){}
    int find(int x){
        if(par[x] < 0) return x;
        return par[x] = find(par[x]);
    }
    bool merge(int x, int y){
        x = find(x); y = find(y);
        if(x == y) return false;
        if(par[x] > par[y]) swap(x,y); //マージテク
        par[x] += par[y];
        par[y] = x;
        return true;
    }
    bool same(int x, int y) {return find(x) == find(y);}
    int size(int x) {return -par[find(x)];}
};

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    ll n,m; cin >> n >> m;
    vvi to(n);
    UnionFind uf(n);
    rep(i,m){
        int a,b; cin >> a >> b;
        a--; b--;
        to[a].push_back(b);
        to[b].push_back(a);
        uf.merge(a,b);
    }
    set<int> st;
    set<ll> par;
    rep(i,n)par.insert(uf.find(i));
    vi cnt(n);
    auto dfs = [&](auto dfs, int s, int p=-1)->void{
        st.insert(s);
        for(auto nv:to[s]){
            if(nv==p) continue;
            if(st.count(nv)){
                if(sz(st)%2){
                    cnt[uf.find(nv)]=1;
                    return;
                }
                continue;
            }
            dfs(dfs,nv,s);
        }
        st.erase(s);
    };
    
    for(auto p : par){
        dfs(dfs,p);
    }
    cout << (sz(par)==reduce(all(cnt)) ? "Yes" : "No") << endl;
}