#include <map>
#include <set>
#include <vector>
#include <memory>
#include <cmath>
#include <cstdio>
 
using namespace std;
 
struct point;
 
int gcd(int a, int b) {
  if (a < 0) a = -a;
  if (b < 0) b = -b;
  if (a < b) swap(a, b);
  while (b != 0) {
    int c = a % b;
    a = b;
    b = c;
  }
  return a;
}
 
struct edge_coordinate {
  int a, b;
 
  edge_coordinate(int x, int y, int d) {
    int aa = 5*x + d*y;
    int bb = 5*y - d*x;
    int g = gcd(aa, bb);
    a = aa/g;
    b = bb/g;
  }
  bool operator<(const edge_coordinate& other) const {
    return (a != other.a) ? (a < other.a) : (b < other.b);
  }
  bool operator==(const edge_coordinate& other) const {
    return (a == other.a) && (b == other.b);
  }
};
 
struct edge {
  edge_coordinate coordinate;
  set<point*> pts1;
  set<point*> pts2;
 
  edge(const edge_coordinate& c) : coordinate(c) { }
};
 
struct edge_map : public map<edge_coordinate, unique_ptr<edge> > {
  edge* obtain(const edge_coordinate& c) {
    auto i = lower_bound(c);
    if (i != end() && i->first == c)
      return i->second.get();
    unique_ptr<edge> e{new edge(c)};
    return insert(i, make_pair(c, std::move(e)))->second.get();
  }
};
 
void printem(const point* a, const point* b, const point* c);
 
struct point {
  int x, y;
  edge *e1, *e2;
 
  point(int xx, int yy) : x(xx), y(yy) { }
  void find_triangles() const {
    for (auto i: e1->pts2) {
      if (i < this) continue;
      for (auto j: e2->pts1) {
        if (j < this) continue;
        if (i->e1 == j->e2) {
          printem(this, i, j);
        }
      }
    }
  }
};
 
void printem(const point* a, const point* b, const point* c) {
  printf("(%3d,%3d) (%3d,%3d) (%3d,%3d)\n", a->x, a->y, b->x, b->y, c->x, c->y);
}
 
void findem(int m) {
  edge_map edges;
  vector< unique_ptr<point> > pts;
  for (int x = -m; x <= m; ++x) {
    for (int y = -m; y <= m; ++y) {
      int dd = x*x + y*y - 25;
      if (dd <= 0) continue;
      int d = int(sqrt(dd) + .5);
      if (d*d != dd) continue;
      pts.push_back(unique_ptr<point>(new point(x, y)));
      point* p = pts.back().get();
      edge_coordinate ec1(x, y, d), ec2(x, y, -d);
      edge *e1 = edges.obtain(ec1), *e2 = edges.obtain(ec2);
      p->e1 = e1;
      p->e2 = e2;
      e1->pts1.insert(p);
      e2->pts2.insert(p);
    }
  }
  for (auto& p: pts) {
    p->find_triangles();
  }
}
 
int main(int argc, char** argv) {
  findem(100);
}
 

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