#include using namespace std; #define DEBUG(x) cerr<<#x<<": "< #define vl vector #define vii vector< vector > #define vll vector< vector > #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream& operator<<(ostream& os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define X first #define Y second #define rep(i,n) for(int i=0;i<(int)(n);i++) #define rep1(i,n) for(int i=1;i<=(int)(n);i++) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;i--) #define rrep1(i,n) for(int i=(int)(n);i>0;i--) #define REP(i,a,b) for(int i=a;i bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = (ll)1e18 + 1; const long double pi = 3.1415926535897932384626433832795028841971L; #define Sp(p) cout< a) { swap(a, b); } if (b == 0) return a; ll r = a%b; while (r != 0) { a = b; b = r; r = a%b; } return b; } ll lcm(ll a, ll b) { return (a / gcd(a, b))*b; } // signed main() { // int p, q; // cin >> p >> q; // double ok = 1, ng = inf * 1000000; // rep (_, 1000) { // } // } signed main() { fio(); int n; cin >> n; vector xy(n); rep (i, n) { cin >> xy[i].first >> xy[i].second; } int ma = 0; rep (i, n) { rep (j, n) { if (i == j) continue; int x0 = xy[i].first, y0 = xy[i].second; int x1 = xy[j].first, y1 = xy[j].second; pii a = pii((y1 - y0), (x1 - x0)); int g = gcd(abs(a.first), abs(a.second)); a.first /= g; a.second /= g; if (a.first < 0) { a.first *= -1; a.second *= -1; } int cnt = 2; rep (k, n) { if (i == k or j == k) continue; int x2 = xy[k].first, y2 = xy[k].second; pii b = pii((y2 - y0), (x2 - x0)); int g = gcd(abs(b.first), abs(b.second)); b.first /= g; b.second /= g; if (b.first < 0) { b.first *= -1; b.second *= -1; } if (a == b) cnt++; } chmax(ma, cnt); } } cout << ma << endl; }