// Problem: B. Doremy's Connecting Plan
// Contest: Codeforces - Codeforces Round 906 (Div. 1)
// URL: https://codeforces.com/contest/1889/problem/B
// Memory Limit: 256 MB
// Time Limit: 1000 ms
// 
// Powered by CP Editor (https://cpeditor.org)

// dottle bot
#ifndef ONLINE_JUDGE
#define DEBUG
#endif
#include <stdio.h>
#include <string.h>
#include <algorithm>
#include <queue>
#include <vector>
#include <bitset>
#include <map>
#include <assert.h>
#include <math.h>
#include <set>
#define nln puts("")
#define od(x) printf("%d",x)
#define odb(x) printf("%d ",x)
#define odl(x) printf("%d\n",x)
#define odp(x,y) printf("%d %d\n",x,y)
#define ol(x) puts("")
#define old(x) printf("%lld",x)
#define oldb(x) printf("%lld ",x)
#define oldl(x) printf("%lld\n",x)
#define oldp(x,y) printf("%lld %lld\n",x,y)
#define rg(x) for(int i=1;i<=(x);i++){
#define rg_(i,x) for(int i=1;i<=(x);i++){
#define fe(u) for(int i=h[u];i;i=e[i].nxt){int v=e[i].v;
#define gr }
#define rrg(x) for(int i=0;i<(x);i++){
#define rdln(a) a[i]=read();
#define rdln0(a,x) rrg(x) rdln(a) gr
#define rdln1(a,x) rg(x) rdln(a) gr

// #define int long long
const int mod=998244353;
#ifdef int 
#define inf 0x3f3f3f3f3f3f3f3fll
#else 
#define inf 0x3f3f3f3f
#endif
inline int min(int a,int b){return a>b?b:a;}
inline int max(int a,int b){return a<b?b:a;}
#define cmlSEGMIN
#define cmlSEGMAX
#define cmlSEGSUM
class SegTreeAl{
#ifdef cmlSEGMIN
	int minn[1000005<<2];
#endif
#ifdef cmlSEGMAX
	int maxn[1000005<<2];
#endif
#ifdef cmlSEGSUM
	int sum[1000005<<2];
#endif
	int tag[1000005<<2];
#ifdef cmlSEGSUM
	void pushdown(int o,int l,int r)
#else 
	void pushdown(int o)
#endif
	{
		int&t=tag[o];
#ifdef cmlSEGMIN
		minn[o<<1]+=t;
		minn[o<<1|1]+=t;
#endif
#ifdef cmlSEGMAX
		maxn[o<<1]+=t;
		maxn[o<<1|1]+=t;
#endif
#ifdef cmlSEGSUM
		int m=l+r>>1;
		sum[o<<1]+=t*(m-l+1);
		sum[o<<1|1]+=t*(r-m);
#endif
		tag[o<<1]+=t;
		tag[o<<1|1]+=t;
		t=0;
	}
	void add(int o,int l,int r,int L,int R,int v)
	{
		if(L<=l&&r<=R)
		{
#ifdef cmlSEGMAX
			maxn[o]+=v;
#endif
#ifdef cmlSEGMIN
			minn[o]+=v;
#endif
#ifdef cmlSEGSUM
			sum[o]+=v*(r-l+1);
#endif
			tag[o]+=v;
			return;
		}
		int m=l+r>>1;
#ifdef cmlSEGSUM
		pushdown(o,l,r);
#else
		pushdown(o);
#endif
		if(L<=m)add(o<<1,l,m,L,R,v);
		if(m<R)add(o<<1|1,m+1,r,L,R,v);
#ifdef cmlSEGMAX
		maxn[o]=max(maxn[o<<1],maxn[o<<1|1]);
#endif
#ifdef cmlSEGMIN
		minn[o]=min(minn[o<<1],minn[o<<1|1]);
#endif
#ifdef cmlSEGSUM
		sum[o]=sum[o<<1]+sum[o<<1|1];
#endif
	}
#ifdef cmlSEGMIN
	int qmin(int o,int l,int r,int L,int R)
	{
		if(L<=l&&r<=R)
		{
			return minn[o];
		}
		int m=l+r>>1,res=inf;
#ifdef cmlSEGSUM
		pushdown(o,l,r);
#else
		pushdown(o);
#endif
		if(L<=m)res=min(res,qmin(o<<1,l,m,L,R));
		if(m<R)res=min(res,qmin(o<<1|1,m+1,r,L,R));
#ifdef cmlSEGMAX
		maxn[o]=max(maxn[o<<1],maxn[o<<1|1]);
#endif
#ifdef cmlSEGMIN
		minn[o]=min(minn[o<<1],minn[o<<1|1]);
#endif
#ifdef cmlSEGSUM
		sum[o]=sum[o<<1]+sum[o<<1|1];
#endif
		return res;
	}
#endif

#ifdef cmlSEGMAX
	int qmax(int o,int l,int r,int L,int R)
	{
		if(L<=l&&r<=R)
		{
			return maxn[o];
		}
		int m=l+r>>1,res=-inf;
#ifdef cmlSEGSUM
		pushdown(o,l,r);
#else
		pushdown(o);
#endif
		if(L<=m)res=max(res,qmax(o<<1,l,m,L,R));
		if(m<R)res=max(res,qmax(o<<1|1,m+1,r,L,R));
#ifdef cmlSEGMAX
		maxn[o]=max(maxn[o<<1],maxn[o<<1|1]);
#endif
#ifdef cmlSEGMIN
		minn[o]=min(minn[o<<1],minn[o<<1|1]);
#endif
#ifdef cmlSEGSUM
		sum[o]=sum[o<<1]+sum[o<<1|1];
#endif
		return res;
	}
#endif

#ifdef cmlSEGSUM
	int qsum(int o,int l,int r,int L,int R)
	{
		if(L<=l&&r<=R)
		{
			return sum[o];
		}
		int m=l+r>>1,res=0;
#ifdef cmlSEGSUM
		pushdown(o,l,r);
#else
		pushdown(o);
#endif
		if(L<=m)res+=qsum(o<<1,l,m,L,R);
		if(m<R)res+=qsum(o<<1|1,m+1,r,L,R);
#ifdef cmlSEGMAX
		maxn[o]=max(maxn[o<<1],maxn[o<<1|1]);
#endif
#ifdef cmlSEGMIN
		minn[o]=min(minn[o<<1],minn[o<<1|1]);
#endif
#ifdef cmlSEGSUM
		sum[o]=sum[o<<1]+sum[o<<1|1];
#endif
		return res;
	}
#endif
};
#define newe(n) struct Edge{int v,w,nxt;}e[2*n+5];\
typedef int arr[n+5];\
arr h;\
int cnt=1;\
inline void addedge(int u,int v,int w){e[cnt]=(Edge){v,w,h[u]};h[u]=cnt++;}\
struct node{\
	int u,d;\
	bool operator<(const node&b)const{return d>b.d;}\
};\
void dij(int s,int *d,int N)\
{\
	memset(d,0x3f,sizeof(int)*(N+3));\
	d[s]=0;std::priority_queue<node>q;q.push((node){s,0});\
	while(!q.empty())\
	{\
		int u=q.top().u,D=q.top().d;q.pop();if(D!=d[u])continue;\
		for(int i=h[u];i;i=e[i].nxt){int v=e[i].v,w=e[i].w;\
		if(d[u]+w<d[v])d[v]=d[u]+w,q.push((node){v,d[v]});\
		}\
	}\
}
#define mgs int fa[1<<22],sz[1<<22];\
inline int f(int x){return x==fa[x]?x:fa[x]=f(fa[x]);}\
inline int uf(int x,int y)\
{\
    int fx=f(x),fy=f(y);\
    if(fx==fy)return 0;\
    if(sz[fx]>sz[fy])fx^=fy^=fx^=fy;\
    fa[fx]=fy,sz[fy]+=sz[fx];\
    return 1;\
}
inline int read()
{
    int num=0,f=1;char c=getchar();
    while(c<48||c>57){if(c=='-')f=-1;c=getchar();}
    while(c>47&&c<58)num=num*10+(c^48),c=getchar();
    return num*f;
}
inline int re1d()
{
    char c=getchar();
    while(c<48||c>49)c=getchar();
    return c&1;
}
#ifdef cmlBIT
struct BIT{int a[1<<20|1],n;
void add(int x,int p){while(x<=n)a[x]+=p,x+=x&-x;}
int operator[](int x){int res=0;while(x)res+=a[x],x-=x&-x;return res;}
int operator()(int l,int r){return (*this)[r]-(*this)[l-1];}};
#endif
int rnv[1000005];
// #define COMB
#ifdef COMB
#ifndef int
#define int long long
#endif
int fac[1000005],inv[1000005];
#endif
void initprog()
{
#ifdef COMB
	fac[0]=inv[0]=inv[1]=1;
	rg(1000000)fac[i]=fac[i-1]*i%mod;gr
	rg(1000000)if(i>1)inv[i]=inv[mod%i]*(mod-mod/i)%mod;gr
	rg(1000000)rnv[i]=inv[i];gr
	rg(1000000)inv[i]=inv[i]*inv[i-1]%mod;gr
#endif
}
#ifdef COMB
int C(int n,int m)
{
	if(n==m||m==0)return 1;
	if(n<m)return 0;
	return fac[n]*inv[m]%mod*inv[n-m]%mod;
}
#endif
inline int qp(int a,int b){int c=1;while(b){if(b&1)c=c*a%mod;a=a*a%mod;b>>=1;}return c;}
inline int mae(int &a,int b){a+=b;if(a>=mod)a-=mod;return a;}
inline int mde(int &a,int b){a+=mod-b;if(a>=mod)a-=mod;return a;}
inline int mle(int &a,int b){a=a*b%mod;return a;}
inline int mve(int &a,int b){a=a*qp(b,mod-2)%mod;return a;}
inline int mxe(int &a,int b){return a=a>b?a:b;}
inline int mne(int &a,int b){return a=a<b?a:b;}
inline int ae(int a,int b){int c=a+b;return c>=mod?c-mod:c;}
inline int de(int a,int b){return ae(a,mod-b);}
inline int me(int a,int b){return a*b%mod;}
inline int mive(int &a,int b){a=a*rnv[b]%mod;return a;}
inline int ive(int a,int b){return a*rnv[b]%mod;}
inline int ve(int a,int b){return a*qp(b,mod-2)%mod;}
#ifdef cmlST
struct STmin{
	int a[21][1000005],n;
	void init(int N,int *b)
	{
		n=N;
		rg(n)a[0][i]=b[i];gr
		rg(20)rg_(j,n-(1<<i)+1)a[i][j]=min(a[i-1][j],a[i-1][j+(1<<i-1)]);gr gr
	}
	int q(int l,int r)
	{
		int d=std::__lg(r-l+1);
		return min(a[d][l],a[d][r-(1<<d)+1]);
	}
};
struct STmax{
	int a[21][1000005],n;
	void init(int N,int *b)
	{
		n=N;
		rg(n)a[0][i]=b[i];gr
		rg(20)rg_(j,n-(1<<i)+1)a[i][j]=max(a[i-1][j],a[i-1][j+(1<<i-1)]);gr gr
	}
	int q(int l,int r)
	{
		int d=std::__lg(r-l+1);
		return max(a[d][l],a[d][r-(1<<d)+1]);
	}
};
#endif
#ifdef cmlSAM
struct SAM{
	int ch[1000005][26],lnk[1000005],len[1000005],lst=1,cc=1;
	int sz[1000005];
	void insert(int c)
	{
		len[++cc]=len[lst]+1;sz[cc]=1;
		int p=lst;lst=cc;
		while(p&&ch[p][c]==0)ch[p][c]=cc,p=lnk[p];
		if(p==0)lnk[cc]=1;
		else
		{
			int x=ch[p][c];
			if(len[p]+1==len[x])lnk[cc]=x;
			else
			{
				int q=cc;++cc;
				lnk[cc]=lnk[x];
				lnk[x]=lnk[q]=cc;
				len[cc]=len[p]+1;
				memcpy(ch[cc],ch[x],sizeof(ch[cc]));
				while(p&&ch[p][c]==x)ch[p][c]=cc,p=lnk[p];
			}
		}
	}
	newe(1000005);
	long long ans;
	void build()
	{
		rg(cc)addedge(lnk[i],i,0);gr
	}
	void dfs(int u)
	{
		fe(u)dfs(v),sz[u]+=sz[v];gr
		if(sz[u]>1)ans=max(ans,1ll*sz[u]*len[u]);
	}
}t;
#endif
std::set<std::pair<int,int> >s;
std::pair<int,int>pos[1234567];
// int cnt=0;
// #define times() {int mb=n;mb=mb*1000*1000/4;int *c=new int[mb];c[mb-1]=c[0]=rand();\
// for(int i=0;i<100000;i++)c[rand()%mb]=rand();\
// for(int i=0;i<100000;i++)fprintf(stderr,"%d",c[rand()%mb]);\
// delete[]c;\
// }
signed main()
{
	initprog();
	int n=read();
	if(n<=4)
	{
		puts("Yes");
		rg(n)odp(0,i);gr
		puts("0");
		return 0;
	}
	if(n<=6||n%2)return puts("No"),0;
	int x,y,z,w,nw;
	if(n%4==0)
	{
		s.insert({1,2});
		s.insert({1,3});
		s.insert({2,3});
		s.insert({1,4});
		s.insert({1,7});
		s.insert({1,6});
		s.insert({1,8});
		s.insert({2,4});
		s.insert({3,5});
		s.insert({3,6});
		s.insert({3,7});
		s.insert({3,4});
		s.insert({4,5});
		s.insert({4,6});
		s.insert({4,8});
		
		s.insert({5,6});
		s.insert({6,7});
		s.insert({6,8});
		
		pos[1]={0,0};
		pos[2]={100,0};
		pos[3]={0,100};
		pos[4]={98,1};
		pos[5]={3,50};
		pos[6]={2,50};
		pos[7]={1,50};
		pos[8]={2,49};
		
		x=1,y=3,z=2,w=7;
		nw=8;
	}
	else
	{
		/*
100 0
0 100
1 50
2 49
3 52
3 51
4 49
5 49
99 1
*/
		pos[1]={0,0};
		pos[2]={100,0};
		pos[3]={0,100};
		pos[4]={1,50};
		pos[5]={2,49};
		pos[6]={3,52};
		pos[7]={3,51};
		pos[8]={4,49};
		pos[9]={5,49};
		pos[10]={98,1};
		
s.insert({1,2});
s.insert({2,3});
s.insert({1,3});
s.insert({3,4});
s.insert({1,4});
s.insert({3,5});
s.insert({1,5});
s.insert({4,5});
s.insert({3,6});
s.insert({5,6});
s.insert({6,7});
s.insert({6,8});
s.insert({5,7});
s.insert({7,8});
s.insert({5,8});
s.insert({6,9});
s.insert({6,10});
s.insert({8,10});
s.insert({3,10});
s.insert({1,10});
s.insert({2,10});
s.insert({1,8});
s.insert({8,9});
s.insert({9,10});
		x=1,y=3,z=2,w=4;nw=10;
	}

	while(nw<n)
	{
		int X=nw+1,Y=nw+3,Z=nw+2,W=nw+4;
		pos[X]={pos[x].first-2,pos[x].second-2};
		pos[Y]={pos[y].first-2,pos[y].second+2};
		pos[Z]={pos[z].first+2,pos[z].second-2};
		pos[W]={pos[w].first-2,pos[w].second};
		nw+=4;
		
		s.erase({x,y});
		s.insert({X,Y});
		s.insert({X,x});
		s.insert({X,Z});
		s.insert({X,z});
		s.insert({X,W});
		s.insert({X,w});
		s.insert({Y,W});
		s.insert({Y,w});
		s.insert({Y,y});
		s.insert({Y,z});
		s.insert({Y,Z});
		
		s.insert({Z,z});
		s.insert({W,w});
		x=X,y=Y,z=Z,w=W;
	}

	puts("Yes");
	rg(n)odp(pos[i].first,pos[i].second);gr
	odl(s.size());
	for(auto[x,y]:s)odp(x,y);
	
	return 0;
}