import java.io.*; import java.util.*; class Main { public static void main(String[] args) { MyScanner sc = new MyScanner(); out = new PrintWriter(new BufferedOutputStream(System.out)); int n=sc.nextInt(); int m=sc.nextInt(); long nl=n; if(m<n-1||(nl/2)*(nl-nl/2)<m){ out.println("NO"); out.close(); return; } out.println("YES"); int k=n/2; int[]a=new int[n]; for(int i=0;i<n;++i)a[i]=i+1; for(int i=0;i<n;++i) out.print(a[i]+(i==n-1?"\n":" ")); for(int i=0;i<k;++i){ int x=i; int y=k; out.println((x+1)+" "+(y+1)); } for(int i=k+1;i<n;++i){ int x=0; int y=i; out.println((x+1)+" "+(y+1)); } for(int i=n-1;i<m;++i){ int j=i-n+1; int x=j%(k-1)+1; int y=j/(k-1)+k+1; out.println((x+1)+" "+(y+1)); } out.close(); } // http://codeforces.com/blog/entry/7018 //-----------PrintWriter for faster output--------------------------------- public static PrintWriter out; //-----------MyScanner class for faster input---------- public static class MyScanner { BufferedReader br; StringTokenizer st; public MyScanner() { br = new BufferedReader(new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine(){ String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } int[] nextIntArray(int n){ int[]r=new int[n]; for(int i=0;i<n;++i)r[i]=nextInt(); return r; } } }