#include <bits/stdc++.h>
using namespace std;
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  int K;
  cin >> K;
  if (K % 2 == 0) {
    cout << "NO\n";
    return 0;
  }
  if (K == 1) {
    cout << "YES\n2 1\n1 2\n";
    return 0;
  }
  cout << "YES\n" << 2 * K + 4 << " " << (K + 2) * K << "\n";
  for (int i = 2; i <= K; i++) {
    cout << 1 << " " << i << "\n";
  }
  cout << 1 << " " << K + 3 << "\n";
  for (int i = 2; i <= K; i++) {
    for (int j = i + 1; j <= K; j++) {
      if (i % 2 == 0 && j == i + 1) continue;
      cout << i << " " << j << "\n";
    }
  }
  for (int i = K + 1; i <= K + 2; i++) {
    for (int j = 2; j <= K; j++) cout << i << " " << j << "\n";
  }
  cout << K + 1 << " " << K + 2 << "\n";
  for (int i = K + 4; i <= 2 * K + 2; i++) {
    cout << K + 3 << " " << i << "\n";
  }
  for (int i = K + 4; i <= 2 * K + 2; i++) {
    for (int j = i + 1; j <= 2 * K + 2; j++) {
      if (i % 2 == 1 && j == i + 1) continue;
      cout << i << " " << j << "\n";
    }
  }
  for (int i = 2 * K + 3; i <= 2 * K + 4; i++) {
    for (int j = K + 4; j <= 2 * K + 2; j++) cout << i << " " << j << "\n";
  }
  cout << 2 * K + 3 << " " << 2 * K + 4 << "\n";
  return 0;
}
