#include <iostream> #include <string> #include <cstdlib> #include <cmath> #include <vector> #include <map> #include <set> #include <algorithm> #include <queue> #include <stack> #include <functional> #include <bitset> #include <assert.h> using namespace std; typedef long long ll; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<char> vc; typedef vector<string> vs; typedef vector<bool> vb; typedef vector<double> vd; typedef pair<ll,ll> P; typedef vector<P> vpl; typedef tuple<ll,ll,ll> tapu; #define rep(i,n) for(ll i=0; i<(n); i++) #define REP(i,a,b) for(int i=(a); i<(b); i++) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() const int inf = 1<<30; const ll linf = 1LL<<62; const int MAX = 510000; ll dy[8] = {0,1,0,-1,1,-1,1,-1}; ll dx[8] = {1,0,-1,0,1,-1,-1,1}; const double pi = acos(-1); const double eps = 1e-7; template<typename T1,typename T2> inline bool chmin(T1 &a,T2 b){ if(a>b){ a = b; return true; } else return false; } template<typename T1,typename T2> inline bool chmax(T1 &a,T2 b){ if(a<b){ a = b; return true; } else return false; } template<typename T1,typename T2> inline void print2(T1 a, T2 b){cout << a << " " << b << "\n";} template<typename T1,typename T2,typename T3> inline void print3(T1 a, T2 b, T3 c){ cout << a << " " << b << " " << c << "\n"; } const int mod = 1e9 + 7; //const int mod = 998244353; ll GCD(ll a, ll b){ if(b==0) return a; else return GCD(b,a%b); } int main(){ ll n; cin >> n; vl x(n),y(n); rep(i,n) cin >> x[i] >> y[i]; ll ans = 2; rep(i,n){ REP(j,i+1,n){ ll cnt = 2; rep(k,n){ if(k==i || k==j) continue; ll x1 = x[j] - x[i]; ll x2 = x[k] - x[i]; ll y1 = y[j] - y[i]; ll y2 = y[k] - y[i]; ll g1 = GCD(x1,y1); ll g2 = GCD(x2,y2); x1 /= g1; x2 /= g2; y1 /= g1; y2 /= g2; if(x1 == x2 && y1 == y2) cnt++; } chmax(ans,cnt); } } cout << ans << endl; }