//OccDreamer
#include<bits/stdc++.h>

#define vc vector
#define db double
#define fi first
#define se second
#define ll long long
#define mk make_pair
#define pb push_back
#define RI register int
#define PI pair<int,int>
#define ull unsigned long long
#define err cerr << "   -_-   " << endl
#define debug cerr << " ------------------- " << endl

#define input(x) freopen(#x".in","r",stdin)
#define output(x) freopen(#x".out","w",stdout)

#define NO puts("No")
#define YES puts("Yes")

//#define OccDreamer
//#define int long long

using namespace std;

namespace IO{
	inline int read(){
		int X=0, W=0; char ch=getchar();
		while(!isdigit(ch)) W|=ch=='-', ch=getchar();
		while(isdigit(ch)) X=(X<<1)+(X<<3)+(ch^48), ch=getchar();
		return W?-X:X;
	}
	inline void write(int x){
		if(x<0) x=-x, putchar('-');
		if(x>9) write(x/10);
		putchar(x%10+'0');
	}
	inline void sprint(int x){write(x), putchar(32);}
	inline void eprint(int x){write(x), putchar(10);}
}using namespace IO;

const int MAXN = 1e5+5;

int n;
int u, d, l, r;
int x[MAXN], y[MAXN], dx, dy;

vc<PI> ans;

signed main(){
	n=read();
	if(n<=4){
		puts("Yes");
		for(int i=1;i<=n;++i) sprint(i), eprint(i);
		eprint(0);	
		return 0;
	}
	if((n&1) || n==6) return puts("No"), 0;
	if(n%4==0) dx=1e5, dy=1;
	else dx=1, dy=1e5;
	x[1]=-dx, x[2]=dx, y[3]=-dy, y[4]=dy, y[6]=2*dy, y[5]=-2*dy; 
	l=1, r=2; u=6, d=5; ans.pb(mk(1,2)); ans.pb(mk(3,5)); ans.pb(mk(4,6));
	ans.pb(mk(1,3)); ans.pb(mk(1,4)); ans.pb(mk(1,6)); ans.pb(mk(1,5));
	ans.pb(mk(2,3)); ans.pb(mk(2,4)); ans.pb(mk(2,6)); ans.pb(mk(2,5));
	for(int i=6, j=0;i<n;i+=2, j^=1){
		if(j==0){
			//cerr << "i+1=" << i+1 << endl;
			x[i+1]=x[l]-dx, x[i+2]=x[r]+dx;
			ans.pb(mk(l,i+1)); ans.pb(mk(i+2,r));
			ans.pb(mk(u,i+1)); ans.pb(mk(u,i+2));
			ans.pb(mk(d,i+1)); ans.pb(mk(d,i+2));
			l=i+1, r=i+2;
		}
		else{
			//cerr << "i+1=" << i+1 << endl;
			y[i+1]=y[d]-dy, y[i+2]=y[u]+dy;
			ans.pb(mk(d,i+1)); ans.pb(mk(i+2,u));
			ans.pb(mk(l,i+1)); ans.pb(mk(l,i+2));
			ans.pb(mk(r,i+1)); ans.pb(mk(r,i+2));
			d=i+1, u=i+2;
		}
	}
	if(n%4==0) x[n-3]=1e8, x[n-2]=1e8, y[n-3]=-1e9, y[n-2]=1e9;
	else x[n-3]=1e9, x[n-2]=1e9, y[n-3]=-1e8, y[n-2]=1e8; ans.pb(mk(n-3,n-2));
	puts("Yes");
	for(int i=1;i<=n;++i) sprint(x[i]), eprint(y[i]);
	eprint(ans.size());
	for(auto i:ans) sprint(i.fi), eprint(i.se);
	return 0;
}