#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
ll ILL=2167167167167167167;
const int INF=2100000000;
const int mod=998244353;
#define rep(i,a,b) for (ll i=a;i<b;i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";}
template<class T> void vec_out(vector<T> &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}
template<class T> T min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T sum(vector<T> &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;}



void solve();
// oddloop
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int t=1;
	//cin>>t;
	rep(i,0,t) solve();
}

void solve(){
	int N;
	cin>>N;
	vector<int> X(N),Y(N);
	rep(i,0,N) cin>>X[i]>>Y[i];
	auto f=[&](int a,int b)->pair<int,int>{
		int c=__gcd(abs(a),abs(b));
		a/=c,b/=c;
		if(a<0) a*=-1,b*=-1;
		if(a==0&&b<0) b*=-1;
		return {a,b};
	};
	vector<vector<pair<int,int>>> G(N,vector<pair<int,int>>(N));
	rep(i,0,N) rep(j,0,N) if(i!=j) G[i][j]=f(X[i]-X[j],Y[i]-Y[j]);
	vector<bool> ok(1<<N);
	rep(i,0,1<<N){
		set<pair<int,int>> s;
		rep(j,0,N) rep(l,0,N){
			if(j!=l&&((1<<j)&i)!=0&&0!=((1<<l)&i)){
				s.insert(G[j][l]);
			}
		}
		if((int)(s.size())<=1) ok[i]=1;
	}
	vector<int> dp(1<<N,INF);
	dp[0]=0;
	rep(i,0,1<<N){
		//cout<<i<<" "<<dp[i]<<"\n";
		int T=(((1<<N)-1)^i);
		for(int j=T;j>=0;j--){
			j&=T;
			if(ok[j]) chmin(dp[j+i],dp[i]+1);
		}
	}
	cout<<dp[(1<<N)-1]<<"\n";
}