/** * @FileName a.cpp * @Author kanpurin * @Created 2020.06.19 00:54:05 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; struct vec { private: ll _gcd(ll a, ll b) { return b ? _gcd(b, a % b) : a; } public: ll x, y; int round; vec() : x(0), y(0), round(0) {} vec(ll X, ll Y, int round = 0) : round(round) { int cx = (X >= 0) ? 1 : -1; int cy = (Y >= 0) ? 1 : -1; X = abs(X); Y = abs(Y); if (X == 0 && Y == 0) { x = 0, y = 0; } else { ll g = _gcd(X, Y); x = cx * X / g; y = cy * Y / g; } } vec operator+(const vec &v) const { return vec(x + v.x, y + v.y, round + v.round); } vec operator-(const vec &v) const { return vec(x - v.x, y - v.y, round - v.round); } vec operator-() const { return vec(-x, -y, -round); } vec rotate180() { if (*this >= vec(-1, 0, round)) { return vec(-x, -y, round + 1); } return vec(-x, -y, round); } vec rotate90() { if (*this >= vec(0, -1, round)) { return vec(-y, x, round + 1); } return vec(-y, x, round); } vec rotate_90() { if (*this < vec(0, 1, round)) { return vec(y, -x, round - 1); } return vec(y, -x, round); } bool operator<(const vec &v) const { if (round != v.round) return round < v.round; if (*this == v) return false; if (y > 0 && v.y > 0) { if ((x > 0 && v.x > 0) || (x < 0 && v.x < 0)) return y * v.x < x * v.y; if (x <= 0 && v.x >= 0) return false; return true; } else if (y < 0 && v.y < 0) { if ((x < 0 && v.x < 0) || (x > 0 && v.x > 0)) return y * v.x < x * v.y; if (x >= 0 && v.x <= 0) return false; return true; } else if (y > 0 && v.y < 0) { return true; } else if (y < 0 && v.y > 0) { return false; } else if (y == 0 && x > 0 && (v.y != 0 || (v.y == 0 && v.x < 0))) { return true; } else if (y == 0 && x < 0 && v.y < 0) { return true; } else if (v.y == 0 && v.x < 0 && y > 0) { return true; } else { return false; } } bool operator==(const vec &v) const { return x == v.x && y == v.y && round == v.round; } bool operator<=(const vec &v) const { return *this < v || *this == v; } bool operator>=(const vec &v) const { return !(*this < v); } bool operator>(const vec &v) const { return !(*this <= v); } friend std::ostream &operator<<(std::ostream &os, const vec &v) { return os << "[" << v.x << "," << v.y << "]"; } }; int main() { int n; cin >> n; vector< vec > v(n); for (int i = 0; i < n; i++) { int p, q; cin >> p >> q; v[i] = vec(p, q); } sort(v.begin(), v.end()); for (int i = 0; i < n; i++) { v.push_back(vec(v[i].x, v[i].y, 1)); } v.push_back(vec(0,0,1000)); ll ans = 0; for (int i = 0; i < n; i++) { int l = 0,r = 0; while(v[l] <= v[i].rotate180()) l++; for (int j = i + 1; j < n + i; j++) { if (v[i] == v[j]) continue; if (v[i].rotate180() <= v[j]) break; while(v[r] < v[j].rotate180()) { r++; } ans += r - l; } } cout << ans / 3 << endl; return 0; }