import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.NoSuchElementException;

public class Main implements Runnable{

	public static void main(String[] args) {
		new Thread(null,new Main(), "" ,Runtime.getRuntime().maxMemory()).start();
	}
	
	public void run() {
		FastScanner sc=new FastScanner();
		
		int N=sc.nextInt();//3<=N<=1e5
		int M=sc.nextInt();//2<=M<=1e5
		
		//N-1<=M<=m(N-m)
		
		int m=1;
		while(N>m&&M>m*(N-m))++m;
		if(N==m||N-1>M) {
			System.out.println("NO");
			return;
		}
		ArrayList<Integer>[] g=new ArrayList[N];
		for(int i=0;i<N;++i)g[i]=new ArrayList<>();
		for(int i=m;i<N;++i) g[0].add(i);
		for(int i=1;i<m;++i) g[i].add(m);
		int res=M-(N-1);
		out:for(int i=1;i<m;++i) {
			for(int j=m+1;j<N;++j) {
				g[i].add(j);
				if(--res==0)break out;
			}
		}
		
		PrintWriter pw=new PrintWriter(System.out);
		pw.println("YES");
		for(int i=1;i<=N;++i) pw.print(i+(i==N?"\n":" "));
		for(int src=0;src<N;++src) {
			for(int dst:g[src]) {
				pw.println((src+1)+" "+(dst+1));
			}
		}
		pw.close();
	}
	
	
	void tr(Object...objects) {System.out.println(Arrays.deepToString(objects));}
}

class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
    private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
    public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
    public int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
        return (int) nl;
    }
    
    public double nextDouble() { return Double.parseDouble(next());}
}