#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("inline")
#include<bits/stdc++.h>
using namespace std;
void*wmem;
char memarr[96000000];
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
  static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
  (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
  (*arr)=(T*)(*mem);
  (*mem)=((*arr)+x);
}
template<class T> inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){
  walloc1d(arr, x2-x1, mem);
  (*arr) -= x1;
}
inline int my_getchar_unlocked(){
  static char buf[1048576];
  static int s = 1048576;
  static int e = 1048576;
  if(s == e && e == 1048576){
    e = fread_unlocked(buf, 1, 1048576, stdin);
    s = 0;
  }
  if(s == e){
    return EOF;
  }
  return buf[s++];
}
inline void rd(int &x){
  int k;
  int m=0;
  x=0;
  for(;;){
    k = my_getchar_unlocked();
    if(k=='-'){
      m=1;
      break;
    }
    if('0'<=k&&k<='9'){
      x=k-'0';
      break;
    }
  }
  for(;;){
    k = my_getchar_unlocked();
    if(k<'0'||k>'9'){
      break;
    }
    x=x*10+k-'0';
  }
  if(m){
    x=-x;
  }
}
struct MY_WRITER{
  char buf[1048576];
  int s;
  int e;
  MY_WRITER(){
    s = 0;
    e = 1048576;
  }
  ~MY_WRITER(){
    if(s){
      fwrite_unlocked(buf, 1, s, stdout);
    }
  }
}
;
MY_WRITER MY_WRITER_VAR;
void my_putchar_unlocked(int a){
  if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){
    fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout);
    MY_WRITER_VAR.s = 0;
  }
  MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a;
}
inline void wt_L(char a){
  my_putchar_unlocked(a);
}
inline void wt_L(const char c[]){
  int i=0;
  for(i=0;c[i]!='\0';i++){
    my_putchar_unlocked(c[i]);
  }
}
struct graph{
  int N;
  int*es;
  int**edge;
  void setEdge(int N__, int M, int A[], int B[], void **mem = &wmem){
    int i;
    N = N__;
    walloc1d(&es, N, mem);
    walloc1d(&edge, N, mem);
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      es[A[i]]++;
      es[B[i]]++;
    }
    for(i=(0);i<(N);i++){
      walloc1d(&edge[i], es[i], mem);
    }
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      edge[A[i]][es[A[i]]++] = B[i];
      edge[B[i]][es[B[i]]++] = A[i];
    }
  }
}
;
int N;
int M;
int A[5000];
int B[5000];
graph g;
int deg[5000];
int sts;
int st[5000];
int res;
int main(){
  int i;
  wmem = memarr;
  rd(N);
  rd(M);
  {
    int Lj4PdHRW;
    for(Lj4PdHRW=(0);Lj4PdHRW<(M);Lj4PdHRW++){
      rd(A[Lj4PdHRW]);A[Lj4PdHRW] += (-1);
      rd(B[Lj4PdHRW]);B[Lj4PdHRW] += (-1);
    }
  }
  g.setEdge(N,M,A,B);
  for(i=(0);i<(N);i++){
    deg[i] = g.es[i];
  }
  for(i=(0);i<(N);i++){
    if(deg[i]==1){
      st[sts++] = i;
    }
  }
  while(sts){
    int t_ynMSdg;
    i = st[--sts];
    if(deg[i]!=1){
      continue;
    }
    res ^= 1;
    for(t_ynMSdg=(0);t_ynMSdg<(g.es[i]);t_ynMSdg++){
      auto&j = g.edge[i][t_ynMSdg];
      deg[j]--;
      if(deg[j]==1){
        st[sts++] = j;
      }
    }
  }
  if(res==1){
    wt_L("Yes");
    wt_L('\n');
  }
  else{
    wt_L("No");
    wt_L('\n');
  }
  return 0;
}
// cLay version 20210717-1 [beta]

// --- original code ---
// int N, M, A[5000], B[];
// graph g;
// int deg[], sts, st[], res;
// {
//   rd(N,M,(A--,B--)(M));
//   g.setEdge(N,M,A,B);
//   rep(i,N) deg[i] = g.es[i];
//   rep(i,N) if(deg[i]==1) st[sts++] = i;
//   while(sts){
//     i = st[--sts];
//     if(deg[i]!=1) continue;
//     res ^= 1;
//     rep[g.edge[i]](j,g.es[i]){
//       deg[j]--;
//       if(deg[j]==1) st[sts++] = j;
//     }
//   }
//   wt(if[res==1, "Yes", "No"]);
// }