#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define ALL(v) v.begin(),v.end()

#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
namespace mp = boost::multiprecision;
using ll = mp::cpp_int;
 
#include<bits/stdc++.h>
using namespace std;
 
int main(){
  ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  
  int n;
  cin>>n;
  vector<ll> X(n),Y(n);
  rep(i,n) cin>>X[i]>>Y[i];
  vector<pair<ll,ll>> P(n);
  rep(i,n) P[i]={X[i],Y[i]};
  sort(ALL(P));
  
  map<ll,set<int>> m1,m2;
  rep(i,n){
    m1[X[i]].insert(i);
    m2[Y[i]].insert(i);
  }
  set<int> ANS;
  for(auto [a,b]:m1){
    if(b.size()>3){
      for(auto x:b) ANS.insert(x);
    }
    else if(b.size()==3){
      vector<int> T;
      for(auto x:b) T.push_back(x);
      ANS.insert(T[0]);
      ANS.insert(T[2]);
    }
  }
  for(auto [a,b]:m2){
    if(b.size()>3){
      for(auto x:b) ANS.insert(x);
    }
    else if(b.size()==3){
      vector<int> T;
      for(auto x:b) T.push_back(x);
      ANS.insert(T[0]);
      ANS.insert(T[2]);
    }
  }
  map<pair<pair<ll,ll>,pair<ll,ll>>,set<int>> m3;
  for(int i=0;i<n;i++){
    ll xi=P[i].first,yi=P[i].second;
    for(int j=i+1;j<n;j++){
      ll xj=P[j].first,yj=P[j].second;
      if(xi==xj || yi==yj) continue;
      ll dx=xi-xj,dy=yi-yj;
      if(dx<0) dx=-dx,dy=-dy;
      ll g=gcd(dx,dy);
      dx/=g,dy/=g;
      
      ll da=xi*yj-xj*yi,db=xi-xj;
      if(db<0) da=-da,db=-db;
      ll gg=gcd(da,db);
      da/=gg,db/=gg;
      m3[{{dx,dy},{da,db}}].insert(i);
      m3[{{dx,dy},{da,db}}].insert(j);
    }
  }
  for(auto [a,b]:m3){
    if(b.size()>3){
      for(auto x:b) ANS.insert(x);
    }
    else if(b.size()==3){
      vector<int> T;
      for(auto x:b) T.push_back(x);
      ANS.insert(T[0]);
      ANS.insert(T[2]);
    }
  }
  cout<<ANS.size()<<endl;
    
  return 0;
}