#include<iostream>
#include<complex>

/*
  ô½Cu
*/

#include<vector>
#include<stack>
#include<cmath>

#define FRONT 0x01
#define RIGHT 0x02
#define BACK 0x04
#define LEFT 0x08
#define OVER 0x10

#define CIRCLE_SAME 0x01
#define CIRCLE_CONTAIN 0x02
#define CIRCLE_NO_CROSS 0x04
#define CIRCLE_ONE_CROSS 0x08
#define CIRCLE_ONE_INSIDE_CROSS 0x10
#define CIRCLE_TWO_CROSS 0x20

#define sc second
#define fr first

#define REP(i,n) for(int i = 0; i < (int)(n); ++i)

using namespace std;

typedef double elem;
typedef complex<elem> point, vec;
typedef pair<point, point> line, seg, pp;

const double eps = 1.0e-8;
const double pi = acos(-1.0);
point base(0,0);

// oÍ
ostream &operator<<(ostream &os, const pair<point,point> &p){
  os << p.fr << "-" << p.sc;
  return os;
}

// lZ
inline elem sq(elem a){ return a*a; }
inline elem cq(elem a){ return a*a*a; }

// pxÏ·
elem rad(elem deg){ return (deg/180)*pi; }
elem deg(elem rad){ return (rad*180)/pi; }

// ®¬_Ìô¢AÈÇ
bool eq(elem a, elem b){ return abs(a-b) < eps; }
bool lt(elem a, elem b){ return !eq(a,b) && a < b; }
bool leq(elem a, elem b){ return eq(a,b) || a < b; }
bool gt(elem a, elem b){ return !eq(a,b) && a > b; }
bool geq(elem a, elem b){ return eq(a,b) || a > b; }
bool ltz(elem a){ return lt( a, 0 ); }
bool gtz(elem a){ return gt( a, 0 ); }
bool eqv(vec a, vec b){ return eq( abs(b-a),0); }
bool is_zv(vec v){ return eq(abs(v),0); }
elem emax(elem a, elem b){ return gt(a,b)?a:b; }
elem emin(elem a, elem b){ return lt(a,b)?a:b; }

// _Iy[^
bool far(point a, point b){ return gtz( abs(b-a) ); }
bool near(point a, point b){ return leq( abs(b-a), 0 ); }
elem dot(vec a, vec b){ return (a.real() * b.real() + a.imag() * b.imag() ); }
elem cross(vec a, vec b){ return ( a.real() * b.imag() - a.imag() * b.real() ); }

// ñ_Ô£A¼üÆ_ÌÅZ£AüªÆ_ÌÅZ£
elem dist(point a, point b){ return abs(a-b); }
elem dist_l(line l, point x){ return abs(cross(l.sc-l.fr,x-l.fr)) / abs(l.sc-l.fr); }
elem dist_seg(seg s, point x)
{
  if( ltz( dot(s.sc-s.fr,x-s.fr) ) ) return abs(x-s.fr);
  if( ltz( dot(s.fr-s.sc,x-s.sc) ) ) return abs(x-s.sc);
  return dist_l(s,x);
}

// PÊxNgA@üxNgAPÊ@üxNg
vec uvec(vec a){ return a / abs(a); }
vec nmr(vec a){ return a * vec(0,-1); }
vec nml(vec a){ return a * vec(0,1); }
vec unmr(vec a){ return uvec( nmr(a) ); }
vec unml(vec a){ return uvec( nml(a) ); }

// ¼ðA½s»è
bool orth(point a1, point a2, point b1, point b2){ return eq( dot( a2 - a1, b2 - b1 ), 0 ); }
bool orth(vec v1, vec v2){ return eq( dot(v1, v2), 0 ); }
bool prll(point a1, point a2, point b1, point b2){ return eq( cross( a2 - a1, b2 - b1 ), 0 ); }
bool prll(vec v1, vec v2){ return eq( cross(v1, v2), 0 ); }

// CCW oXg¾ªA¸xÉæé
int ccw(point a, point b, point x){
  b -= a;
  x -= a;
  // if( is_zv(b) || is_zv( x ) ) return ERROR;
  if( gtz( cross(b,x) ) ) return LEFT;
  if( ltz( cross(b,x) ) ) return RIGHT;
  if( ltz( dot(b,x) ) ) return BACK;
  if( abs(b) < abs(x) ) return FRONT;
  return OVER;
}

// üªÌð·»èAºÍ_ÌÝÅßéo[WA»ÌºÍxNg(üªÌ[_Åðíé)
bool intersected_seg(seg a, seg b)
{
  if( ccw(a.fr,a.sc,b.fr)&OVER || ccw(a.fr,a.sc,b.sc)&OVER ) return true;
  return
    ( ccw(a.fr,a.sc,b.fr) | ccw(a.fr,a.sc,b.sc) ) == (LEFT|RIGHT) &&
    ( ccw(b.fr,b.sc,a.fr) | ccw(b.fr,b.sc,a.sc) ) == (LEFT|RIGHT) ;
}
bool intersected_l(line a, line b){
  return !prll(a.fr,a.sc,b.fr,b.sc);
}
point intersection_seg(seg a, seg b)
{
  elem d1 = dist_l(b,a.fr);
  elem d2 = dist_l(b,a.sc);
  return a.fr + ( d1 / (d1 + d2 ) ) * (a.sc-a.fr);
}
point intersection_l(line a, line b)
{
  vec va = a.sc - a.fr;
  vec vb = b.sc - b.fr;
  return a.fr + va * ( cross(vb, b.fr - a.fr) / cross(vb,va) );
}
bool intersection_seg(seg a, seg b, point &ret){
  if( intersected_seg(a,b) ){
    ret = intersection_seg(a,b);
    return true;
  }
  return false;
}
bool intersection_l(line a, line b, point &ret){
  if( intersected_l( a, b ) ){
    ret = intersection_l( a, b );
    return true;
  }
  return false;
}
bool intersection_lseg(line l, seg s, point &ret){
  point tmp;
  if( intersection_l(l,s,tmp) ){
    if(ccw(s.fr,s.sc,tmp)&OVER){
      ret=tmp;
      return true;
    }
  }
  return false;
}

// Op`ÌÊÏ
elem areaOfTriangle(elem a, elem b, elem c){
  elem s = (a+b+c)/2;
  return sqrt( s * (s-a) * (s-b) * (s-c) );
}

using namespace std;
int main(){
  while(true){
    seg s[3];
    bool inv=false;
    for(int i = 0; i <3; ++i){
      elem x1,y1,x2,y2;
      cin >> x1 >> y1 >> x2 >> y2;
      if(eq(x1,0)&&eq(y1,0)&&eq(x2,0)&&eq(y2,0))return 0;
      s[i] = seg(point(x1,y1),point(x2,y2));
    }
    point a,b,c;
    if( !intersection_seg( s[0], s[1], a ) ||
	!intersection_seg( s[1], s[2], b ) || 
	!intersection_seg( s[2], s[0], c ) )
      inv=true;
    if(near(a,b)&&near(b,c)&&near(c,a))inv=true;
    
    //    cout << " A : " << a << " B : " << b << " C : " << c << endl;
    elem area = areaOfTriangle( abs(b-a), abs(c-b), abs(a-c) );
    if( inv ){
      cout << "kyo" << endl;
      continue;
    }
    
    if( geq( area, 1900000 ) ){
      cout << "dai-kichi" << endl;
    }else if( geq( area, 1000000 ) ){
      cout << "chu-kichi" << endl;
    }else if( geq( area, 100000 ) ){
      cout << "kichi" << endl;
    }else if( gtz( area ) ){
      cout << "syo-kichi" << endl;
    }else{
      cout << "kyo" << endl;
    }
  }
  return 0;
}

Measured memory_bytes: 0