#include <iostream>
#include <vector>
#include <queue>
using namespace std;

#line 1 "/home/sakflat/CP/_library/cpp/data-structure/union-find.cpp"
struct UnionFind {
  int n;
  vector<int> par;
  vector<int> size_;
  UnionFind(int n_) : n(n_), par((size_t)n_), size_((size_t)n_,1){
    for(int i = 0; n > i; i++)par[i] = i;
  }

  int root(int x){
    if(par[x] == x)return x;
    return par[x] = root(par[x]);
  }

  void unite(int a,int b){
    int ra = root(a);
    int rb = root(b);
    if(ra==rb)return;
    if(size(ra) > size(rb)) swap(ra,rb);
    par[ra] = rb;
    size_[rb] += size_[ra];
  }

  bool same(int a, int b){
    return root(a) == root(b);
  }

  int size(int a){
    return size_[root(a)];
  }
  void debug(){
    for(int i = 0; n > i; i++){
      cout << size_[root(i)] << " ";
    }
    cout << endl;

    return;
  }
};

int main(){
  int n,m;cin>>n>>m;
  UnionFind A(2*n);
  for(int i = 0; m > i; i++){
    int a,b;cin>>a>>b;a--;b--;
    A.unite(2*a,2*b+1);
    A.unite(2*a+1,2*b);
  }
  for(int i = 0; n > i; i++){
    if(!A.same(2*i,2*i+1)){
      cout << "No" << endl;
      return 0;
    }
  }
  cout << "Yes" << endl;
}