#include using namespace std; #define rep(i,N) for(int i=0;i i_i; typedef pair l_l; template using vec = vector; template using vvec = vector>; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 >& p) { os << "{" < inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } const int INF = (ll)1e9; const ll INFLL = (ll)1e18+1; const ll MOD = (ll)1e9+7; const double PI = acos(-1.0); /* const int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1}; const int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1}; const string dir = "DRUL"; */ ll gcd(ll a,ll b){ if(b == 0) return a; return gcd(b, a%b); } ll lcm(ll a,ll b){return a/gcd(a,b)*b;} int main() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); int N; cin >> N; vector x(N), y(N); rep(i,N)cin>> x[i] >> y[i]; auto solve = [&](int idx) -> int{ map map; //x[i], y[i]からの位置ベクトルの傾きで分類 rep(i,N){ if(i == idx)continue; int a = x[i] - x[idx]; int b = y[i] - y[idx]; if(a == 0 || b == 0){ if(a == 0)b = 1; if(b == 0)a = 1; map[{a,b}]++; continue; } int g = gcd(abs(a), abs(b)); a /= g; b /= g; map[{a,b}]++; } int res = 0; for(auto p: map){ chmax(res, p.second+1); } return res; }; int ans = 0; rep(i,N){ chmax(ans, solve(i)); } cout << ans << endl; }