#include <bits/stdc++.h>
using namespace std;
set<pair<int, int> > st;
bool ed[1010][1010];
int p[1010];
int main() {
  ios::sync_with_stdio(0);
  int k;
  cin >> k;
  if (k == 1) {
    cout << "YES\n";
    cout << "2 1\n1 2";
    return 0;
  }
  if (k % 2 == 0) {
    cout << "NO";
    return 0;
  }
  int n = k + 2;
  n *= 2;
  int m = 0;
  cout << "YES\n";
  for (int i = 1; i <= n / 2; i++) {
    st.insert(make_pair(0, i));
  }
  for (int i = 1; i <= n / 2; i++) {
    int t = k - p[i] - (i == 1);
    vector<pair<int, int> > del;
    st.erase(make_pair(p[i], i));
    for (set<pair<int, int> >::iterator it = st.begin();
         it != st.end() && t > 0; it++) {
      pair<int, int> r = *it;
      if (ed[i][it->second]) continue;
      ed[i][it->second] = 1;
      ed[it->second][i] = 1;
      t--;
      m++;
      p[i]++;
      p[it->second]++;
      del.push_back(*it);
    }
    for (int i = 0; i < del.size(); i++) {
      st.erase(st.find(del[i]));
      st.insert(make_pair(del[i].first + 1, del[i].second));
    }
  }
  m *= 2;
  m++;
  cout << n << " " << m << endl;
  for (int i = 1; i <= n / 2; i++) {
    for (int j = i + 1; j <= n / 2; j++) {
      if (ed[i][j]) {
        cout << i << " " << j << endl;
        cout << i + n / 2 << " " << j + n / 2 << endl;
      }
    }
  }
  cout << 1 << " " << n / 2 + 1 << endl;
  return 0;
}
