#include <iostream>
using namespace std;

#define not_spindle_points 2 * (N - 2) - M

int main(){
    int N, M;
    cin >> N >> M;
    if(M < N - 1 || M > 2 * (N - 2)){
        cout << "NO" << endl;
        return 0;
    }
    cout << "YES" << endl;
    if(M == N - 1){
        string a_array_string = "";
        for(int i = 0; i < N; i++){
            if(i % 2){
                a_array_string += to_string(N - i / 2) + " ";
            }else{
                a_array_string += to_string(i / 2 + 1) + " ";
            }
        }
        a_array_string.pop_back();
        cout << a_array_string << endl;
        for(int i = 0; i < M; i++){
            cout << i + 1 << " " << i + 2 << endl;
        }
    }else{
        string a_array_string = "";
        for(int i = 0; i < not_spindle_points + 3; i++){
            if(i % 2){
                a_array_string += to_string(not_spindle_points + 3 - i / 2) + " ";
            }else{
                a_array_string += to_string(i / 2 + 1) + " ";
            }
        }
        for(int i = not_spindle_points + 3; i < N; i++){
            a_array_string += to_string(i + 1) + " ";
        }
        a_array_string.pop_back();
        cout << a_array_string << endl;
        for(int i = 0; i < not_spindle_points + 2; i++){
            cout << i + 1 << " " << i + 2 << endl;
        }
        for(int i = not_spindle_points + 3; i < N; i++){
            cout << 1 << " " << i + 1 << endl;
            cout << i + 1 << " " << 3 << endl;
        }
    }
}