import std.conv, std.functional, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, std.regex, std.typecons;
import core.bitop;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }
real readReal() { return readToken.to!real; }

bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }

int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }
int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }
int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }


int N, M;

void main() {
  try {
    for (; ; ) {
      N = readInt();
      M = readInt();
      if (N - 1 <= M && M <= 1L * (N / 2) * (N - N / 2)) {
        int m;
        void output(int i, int j) {
          ++m;
          writeln(1 + i, " ", 1 + N / 2 + j);
        }
        
        writeln("YES");
        writeln(iota(1, N + 1).to!string.replaceAll(regex(`[\[\],]`), ""));
        output(0, 0);
        foreach (j; 1 .. N - N / 2) {
          output(0, j);
        }
        foreach (i; 1 .. N / 2) {
          output(i, 0);
        }
        if (m < M) {
          foreach (i; 1 .. N / 2) foreach (j; 1 .. N - N / 2) {
            output(i, j);
            if (m == M) {
              goto done;
            }
          }
        }
       done:
      } else {
        writeln("NO");
      }
    }
  } catch (EOFException e) {
  }
}