#include <bits/stdc++.h>
struct custom_hash {
  static uint64_t splitmix64(uint64_t x) {
    x += 0x9e3779b97f4a7c15;
    x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
    x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
    return x ^ (x >> 31);
  }
  size_t operator()(uint64_t x) const {
    static const uint64_t FIXED_RANDOM =
        std::chrono::steady_clock::now().time_since_epoch().count();
    return splitmix64(x + FIXED_RANDOM);
  }
};
using namespace std;
const long long INF = 9223372036854775807;
const long long N = 600005;
const long long mod = 1e9 + 7;
const long long M = 30;
vector<pair<long long, long long> > v;
vector<long long> vn;
void linear(long long k, vector<long long> vk) {
  queue<pair<long long, long long> > q;
  for (long long i = 0; i < vk.size(); i++) {
    for (long long j = 0; j < k - 1; j++) {
      v.push_back({vk[i], vn.back() + 1});
      q.push({vn.back() + 1, 1});
      vn.push_back(vn.back() + 1);
    }
  }
  while (!q.empty()) {
    long long x = q.front().first;
    long long y = q.front().second;
    q.pop();
    if (y == k) continue;
    while (y != k) {
      long long a = q.front().first;
      long long b = q.front().second;
      q.pop();
      v.push_back({x, a});
      b++;
      q.push({a, b});
      y++;
    }
  }
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  long long k;
  cin >> k;
  if (k % 2 == 0)
    cout << "NO" << endl;
  else if (k == 1) {
    cout << "YES" << endl;
    cout << "2 1" << endl;
    cout << "1 2" << endl;
  } else {
    cout << "YES" << endl;
    vn.push_back(1);
    vn.push_back(2);
    v.push_back({1, 2});
    vector<long long> vk;
    for (long long i = 1; i <= k - 1; i++) {
      v.push_back({1, vn.back() + 1});
      vk.push_back(vn.back() + 1);
      vn.push_back(vn.back() + 1);
    }
    linear(k, vk);
    vk.clear();
    for (long long i = 1; i <= k - 1; i++) {
      v.push_back({2, vn.back() + 1});
      vk.push_back(vn.back() + 1);
      vn.push_back(vn.back() + 1);
    }
    linear(k, vk);
    cout << vn.size() << " " << v.size() << endl;
    for (long long i = 0; i < v.size(); i++) {
      printf("%lld %lld\n", v[i].first, v[i].second);
    }
  }
}
