#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using P = pair<int, int>;

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n, m;
    cin >> n >> m;
    if (m < n - 1 || m > (n / 2) * (n - n / 2)) {
        cout << "NO" << endl;
        return 0;
    }

    vector<int> a(n);
    for (int i = 0; i < n; i++) a[i] = i + 1;

    set<P> s;
    for (int i = 0; i < n / 2; i++) {
        s.emplace(i + 1, i + n / 2 + 1);
    }
    for (int i = n / 2; i < n; i++) {
        s.emplace(1, i + 1);
    }
    int cnt = n - 1;
    for (int i = 1; i < n / 2; i++) {
        for (int j = n / 2; j < n; j++) {
            if (cnt == m) break;
            P p(i + 1, j + 1);
            if (s.find(p) == s.end()) {
                s.insert(p);
                cnt++;
                if (cnt == m) break;
            }
        }
        if (cnt == m) break;
    }

    cout << "YES" << endl;
    cout << a[0];
    for (int i = 1; i < n; i++) cout << " " << a[i];
    cout << endl;
    for (auto& p : s) {
        cout << p.first << " " << p.second << endl;
    }
    return 0;
}