#include<iostream>
#include<vector>
#include<cmath>
#include<cstdio>
#define EPS (1e-10)

using namespace std;

class Point
{
  public:
  double x,y;

  Point(double x = -1,double y = -1): x(x),y(y){}

  Point operator + (Point p ){return Point(x+p.x,y+p.y);}
  Point operator - (Point p){return Point(x-p.x,y-p.y);}
  Point operator * (double a){return Point(a*x,a*y);}

  bool operator < (const Point& p) const
  {
    return x != p.x?x<p.x:y<p.y;
  }

  bool operator == (const Point& p)const
  {
    return fabs(x-p.x) < EPS && fabs(y-p.y) < EPS;
  }
};

struct Segment
{
  Point p1,p2;
  Segment(Point p1 = Point(-1,-1),Point p2 = Point(-1,-1)):p1(p1),p2(p2){}
};

double dot(Point a,Point b)
{
  return a.x*b.x + a.y*b.y;
}
double cross(Point a,Point b)
{
  return a.x*b.y - a.y*b.x;
}

double norm(Point a)
{
  return a.x*a.x+a.y*a.y;
}

static const int COUNTER_CLOCKWISE = 1;
static const int CLOCKWISE = -1;
static const int ONLINE_BACK = 2;
static const int ONLINE_FRONT = -2;
static const int ON_SEGMENT = 0;



Point getCrossPoint(Point a1,Point a2,Point b1,Point b2)
{
  Point base = b2 - b1;
  double d1 = abs(cross(base,a1-b1));
  double d2 = abs(cross(base,a2-b1));
  double t = d1/(d1+d2);
  return a1+(a2-a1)*t;
}


int ccw(Point p0,Point p1,Point p2)
{
  Point a = p1-p0;
  Point b = p2-p0;
  if(cross(a,b) > 0)return COUNTER_CLOCKWISE;
  if(cross(a,b) < 0)return CLOCKWISE;
  if(dot(a,b) < 0)return ONLINE_BACK;
  if(norm(a) < norm(b))return ONLINE_FRONT;
  return ON_SEGMENT;
}



bool isIntersect(Point p1,Point p2,Point p3,Point p4)
{
  return (ccw(p1,p2,p3) * ccw(p1,p2,p4) <= 0 &&
          ccw(p3,p4,p1) * ccw(p3,p4,p2) <= 0 );
}

bool isIntersect(Segment s1,Segment s2)
{
return isIntersect(s1.p1,s1.p2,s2.p1,s2.p2);
}


double getArea(vector<Point>& vec)
{
  double sum = 0;
  for(int i=0;i<3;i++)
    sum += cross(vec[i],vec[(i+1)%3]);
  return fabs(sum)/2.0;
}



int main()
{

 int x1,y1,x2,y2;
  while(cin >> x1 >> y1 >> x2 >> y2,(x1|y1|x2|y2))
    {
      Point a(x1,y1);
      Point b(x2,y2);
      cin >> x1 >> y1 >> x2 >> y2;
      Point c(x1,y1);
      Point d(x2,y2);
      cin >> x1 >> y1 >> x2 >> y2;
      Point e(x1,y1);
      Point f(x2,y2);
      Segment s1(a,b),s2(c,d),s3(e,f);


      if(!isIntersect(s1,s2) || !isIntersect(s2,s3) || !isIntersect(s3,s1))
	{
	  cout << "kyo" << endl;
	  continue;
	}
      Point c1,c2,c3;
      c1 = getCrossPoint(s1.p1,s1.p2,s2.p1,s2.p2);
      c2 = getCrossPoint(s2.p1,s2.p2,s3.p1,s3.p2);
      c3 = getCrossPoint(s3.p1,s3.p2,s1.p1,s1.p2);
      vector<Point> vec;
      vec.push_back(c1),vec.push_back(c2),vec.push_back(c3);
      double area = getArea(vec);

      if(area >= 1900000)
	cout << "dai-kichi" << endl;
      else if(area >= 1000000)
	cout << "chu-kichi" << endl;
      else if(area >= 100000)
	cout << "kichi" << endl;
      else if(area > 0)
	cout << "syo-kichi" << endl;
      else 
	cout << "kyo" << endl;
    }
  return 0;
}