#include <bits/stdc++.h>
using namespace std;
set<pair<int, int> > s;
set<pair<int, int> >::iterator it;
int main() {
  int k;
  cin >> k;
  if (k % 2 == 0) {
    cout << "NO" << endl;
    return 0;
  }
  cout << "YES" << endl;
  if (k == 1) {
    cout << "2 1" << endl;
    cout << "1 2" << endl;
  } else {
    for (int i = 1; i <= k; i++)
      for (int j = i + 1; j <= k; j++) s.insert(make_pair(i, j));
    for (int i = 2; i <= k; i++) {
      s.insert(make_pair(i, k + 1));
      s.insert(make_pair(i, k + 2));
    }
    s.insert(make_pair(k + 2, k + 1));
    for (int i = 1; i <= k / 2; i++)
      s.erase(s.find(make_pair(i * 2, i * 2 + 1)));
    cout << 2 * k + 4 << " " << (k + 2) * k << endl;
    for (it = s.begin(); it != s.end(); it++) {
      cout << (*it).first << " " << (*it).second << endl;
      cout << (*it).first + k + 2 << " " << (*it).second + k + 2 << endl;
    }
    cout << "1"
         << " " << k + 3 << endl;
  }
  return 0;
}
