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#include <CGAL/Cartesian.h>
#include <CGAL/Polygon_2.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/random_convex_set_2.h>
#include <CGAL/extremal_polygon_2.h>
#include <iostream>
#include <vector>
typedef double FT;
struct Kernel : public CGAL::Cartesian<FT> {};
typedef Kernel::Point_2 Point;
typedef std::vector<int> Index_cont;
typedef CGAL::Polygon_2<Kernel> Polygon_2;
typedef CGAL::Random_points_in_square_2<Point> Generator;
int main() {
int n = 10;
int k = 5;
// generate random convex polygon:
Polygon_2 p;
CGAL::random_convex_set_2(n, std::back_inserter(p), Generator(1));
std::cout << "Generated Polygon:\n" << p << std::endl;
// compute maximum area incribed k-gon of p:
Polygon_2 k_gon;
CGAL::maximum_area_inscribed_k_gon_2(
p.vertices_begin(), p.vertices_end(), k, std::back_inserter(k_gon));
std::cout << "Maximum area " << k << "-gon:\n"
<< k_gon << std::endl;
return 0;
}
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