#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int INF = 0x3f3f3f3f;
const ll LINF = 0x3f3f3f3f3f3f3f3f;
int main(){
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
// freopen("wormhole.in","r",stdin);
// freopen("wormhole.out","w",stdout);
int k; cin >> k;
if(k%2==0){
cout << "NO\n";
return 0;
}
cout << "YES\n";
if(k==1){
cout << 2 << " " << 1 << "\n";
cout << 1 << " " << 2 << "\n";
return 0;
}
cout << 2*k+4 << " " << (2*k+4)*k/2 << "\n";
cout << 1 << " " << k+3 << "\n";
for(int i=1;i<=k+1;i++){
for(int j=i+1;j<=k+1;j++){
if(i%2==1 && j==i+1) continue;
cout << i << " " << j << "\n";
}
}
for(int i=2;i<=k+1;i++) cout << i << " " << k+2 << "\n";
for(int i=k+3;i<=2*k+3;i++){
for(int j=i+1;j<=2*k+3;j++){
if(i%2==0 && j==i+1) continue;
cout << i << " " << j << "\n";
}
}
for(int i=k+4;i<2*k+4;i++) cout << i << " " << 2*k+4 << "\n";
return 0;
}
230A - Dragons | 200B - Drinks |
13A - Numbers | 129A - Cookies |
1367B - Even Array | 136A - Presents |
1450A - Avoid Trygub | 327A - Flipping Game |
411A - Password Check | 1520C - Not Adjacent Matrix |
1538B - Friends and Candies | 580A - Kefa and First Steps |
1038B - Non-Coprime Partition | 43A - Football |
50A - Domino piling | 479A - Expression |
1480A - Yet Another String Game | 1216C - White Sheet |
1648A - Weird Sum | 427A - Police Recruits |
535A - Tavas and Nafas | 581A - Vasya the Hipster |
1537B - Bad Boy | 1406B - Maximum Product |
507B - Amr and Pins | 379A - New Year Candles |
1154A - Restoring Three Numbers | 750A - New Year and Hurry |
705A - Hulk | 492B - Vanya and Lanterns |