#include<bits/stdc++.h>
using namespace std;
using Int = long long;
signed main(){
  Int n,m;
  cin>>n>>m;
  Int x=n/2,y=n-x;
  if(x*y<m||m<n-1){
    cout<<"NO"<<endl;
    return 0;
  }
  using P = pair<Int, Int>;
  vector<P> v;
  m-=n-1;
  for(Int i=0;i<x;i++){
    if(x+i<n) v.emplace_back(i,x+i);
    if(x+i+1<n) v.emplace_back(i,x+i+1);
  }
  
  for(Int i=0;i<x;i++){
    if(!m) break;
    for(Int j=0;j<y;j++){
      if(!m) break;
      if(i==j) continue;
      if(i+1==j) continue;
      v.emplace_back(i,x+j);
      m--;
    }
  }
  assert(!m);
  
  
  cout<<"YES"<<endl;
  for(Int i=0;i<n;i++){
    if(i) cout<<" ";
    cout<<i+1;
  }
  cout<<endl;
  for(P p:v) cout<<p.first+1<<" "<<p.second+1<<endl;
  return 0;
}