#include<bits/stdc++.h>
// #define int long long 
using namespace std ;
using i64 = long long;

random_device SEED;
mt19937 RAND(SEED());

struct solve{
    int n;
    struct P{
        int x, y;
        P() { x =  y = 0; }
        P(int xx, int yy) { x = xx , y = yy; }
        void getIt(){
            cin >> x >> y;
        }
        friend i64 operator ^(P a, P b){
            return 1LL * a.x * b.y - 1LL * b.x * a.y;
        }
        friend P operator -(P a, P b){
            return P(a.x - b.x, a.y - b.y);
        }
    };
    vector<P> v;
    // solve() {cout << "called\n";}
    solve(int _n){
        n = _n;
        v.assign(n, P());
        for (auto& x : v) x.getIt();
        
        int omega = 100;
        int max_coline = 0;
        while (omega --){
            int now_coline = 0;
            int x = RAND() % n, y = RAND() % n;
            while (y == x) y = RAND() % n;
            for(auto vz : v){
                if(((vz - v[x]) ^ (vz - v[y])) == 0) now_coline++;
            }
            max_coline = max(max_coline, now_coline);
        }

        if (max_coline <= (n - max_coline) * 2) {
            cout << n % 3 << '\n';
        }else {
            cout << max_coline - (n - max_coline) * 2 << '\n';
        }
    }
};

signed main(){
    ios::sync_with_stdio(0);cin.tie(0) ;
    int n;
    while(cin >> n){
        auto x = solve(n) ;
    }
}