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#include <cmath>
#include <iostream>
#include <fstream>
#include <vector>
#include <algorithm>
using std::cin;
using std::cout;
using std::endl;
struct Point {
double x, y;
};
static auto get_square_dist(Point const &p1, Point const &p2) -> double {
return (p1.x - p2.x) * (p1.x - p2.x) + (p1.y - p2.y) * (p1.y - p2.y);
}
static auto get_dist(Point const &p1, Point const &p2) -> double {
return std::sqrt(get_square_dist(p1, p2));
}
static auto const epsilon = 0.001;
static auto const degrees_60 =
1.0471975511965977461542144610931676280657231331250352;
// static auto are_equal_epsilon(double a, double b) -> bool {
// return std::abs(a - b) < epsilon;
// }
static auto are_equal_epsilon(Point pa, Point pb) -> bool {
return std::abs(pa.x - pb.x) < epsilon && std::abs(pa.y - pb.y) < epsilon;
// return get_square_dist(pa, pb) < epsilon * epsilon;
}
// given two points p1 and p2 with p2.x > p1.x
// returns the 3rd point to form an equilateral triangle.
// From the two such possible choices returns the rightmost;
static auto get_3rd_point(Point const &p1, Point const &p2) -> Point {
auto const angle_12 = std::atan2(p2.y - p1.y, p2.x - p1.x);
auto const dist = get_dist(p1, p2);
auto const angle_13 =
(angle_12 > 0) ? angle_12 - degrees_60 : angle_12 + degrees_60;
return {p1.x + dist * std::cos(angle_13), p1.y + dist * std::sin(angle_13)};
}
using const_points_iterator = std::vector<Point>::const_iterator;
auto contains(const_points_iterator first, const_points_iterator last,
const Point &p) -> bool {
while (first < last) {
auto const mid = first + (last - first) / 2;
if (are_equal_epsilon(*mid, p))
return true;
if (p.x < mid->x)
last = mid;
else
first = mid + 1;
}
return false;
}
std::ostream &operator<<(std::ostream &os, Point const &p) {
os << "(" << p.x << ", " << p.y << ")";
return os;
}
auto main() -> int {
std::ifstream fin{"triang.in"};
auto points = std::vector<Point>();
auto n = int{};
fin >> n;
auto const size = n;
points.reserve(size);
for (auto i = 0; i < size; ++i) {
Point p;
fin >> p.x >> p.y;
points.emplace_back(p);
}
fin.close();
auto num = 0;
std::sort(std::begin(points), std::end(points),
[](Point const &p_a, Point const &p_b) { return p_a.x < p_b.x; });
for (auto i = 0; i < size; ++i) {
for (auto j = i + 1; j < size; ++j) {
auto p3 = get_3rd_point(points[i], points[j]);
if (p3.x < points[j].x)
continue;
if (contains(points.cbegin() + j + 1, points.cend(), p3)) {
// cout << "triangle with vertices " << points[i] << ", " << points[j]
// << ", " << p3 << endl;
++num;
}
}
}
std::ofstream fout("triang.out");
fout << num;
return 0;
}