Go: package main

import (
	"bufio"
		"os"
	"strings"
	"strconv"
	"fmt"
	"math"
)

var scanner = bufio.NewScanner(os.Stdin)

type Point struct {
	x, y float64
}
func main() {
	for scanner.Scan() {
		buf1 := strings.Split(scanner.Text(), " ")
		line1 := make([]float64, len(buf1))
		for i := range line1 {
			line1[i], _ = strconv.ParseFloat(buf1[i], 64)
		}
		if line1[0] == 0 && line1[1] == 0 &&
			line1[2] == 0 && line1[3] == 0 {
				break
		}
		scanner.Scan()
		buf2 := strings.Split(scanner.Text(), " ")
		line2 := make([]float64, len(buf2))
		for i := range line2 {
			line2[i], _ = strconv.ParseFloat(buf2[i], 64)
		}
		scanner.Scan()
		buf3 := strings.Split(scanner.Text(), " ")
		line3 := make([]float64, len(buf3))
		for i := range line2 {
			line3[i], _ = strconv.ParseFloat(buf3[i], 64)
		}
		if !intersect(line1[0], line1[1], line1[2], line1[3], line2[0], line2[1], line2[2], line2[3]) ||
			!intersect(line2[0], line2[1], line2[2], line2[3], line3[0], line3[1], line3[2], line3[3]) ||
			!intersect(line3[0], line3[1], line3[2], line3[3], line1[0], line1[1], line1[2], line1[3]) {
				fmt.Println("kyo")
		} else {
			p1 := intersection(line1[0], line1[1], line1[2], line1[3], line2[0], line2[1], line2[2], line2[3])
			p2 := intersection(line2[0], line2[1], line2[2], line2[3], line3[0], line3[1], line3[2], line3[3])
			p3 := intersection(line3[0], line3[1], line3[2], line3[3], line1[0], line1[1], line1[2], line1[3])
			area := math.Abs((p2.x - p1.x) * (p3.y - p1.y) - (p2.y - p1.y) * (p3.x - p1.x))/2
			if area < 0.00000001 {
				fmt.Println("kyo")
			} else if 1899999.99999999 < area {
				fmt.Println("dai-kichi")
			} else if 999999.99999999 < area {
				fmt.Println("chu-kichi")
			} else if 99999.99999999 < area {
				fmt.Println("kichi")
			} else {
				fmt.Println("syo-kichi")
			}
		}
	}
}

func cross(x1, y1, x2, y2 float64) int {
	z :=  x1 * y2 - y1 * x2
	if 0 < z {
		return 1
	} else if z < 0 {
		return -1
	} else {
		return 0
	}
}

func intersect(x1, y1, x2, y2, x3, y3, x4, y4 float64) bool {
	if 0 <= cross(x2-x1, y2-y1, x3-x1, y3-y1) *
		cross(x2-x1, y2-y1, x4-x1, y4-y1) {
			return false
	}
	if 0 <= cross(x4-x3, y4-y3, x1-x3, y1-y3) *
		cross(x4-x3, y4-y3, x2-x3, y2-y3) {
			return false
	}
	return true
}

func intersection(x1, y1, x2, y2, x3, y3, x4, y4 float64) Point {
	if x3 == x4 {
		x1, x3 = x3, x1
		y1, y3 = y3, y1
		x2, x4 = x4, x2
		y2, y4 = y4, y2
	}
	ret := Point{}
	if x1 == x2 {
		// y軸に平行な直線の場合
		c := (y4 - y3) / (x4 - x3)
		d := y3 - c * x3
		x := x1
		y := c * x + d
		ret.x, ret.y = x, y
	} else {
		a := (y2 - y1) / (x2 - x1)
		b := y1 - a * x1
		c := (y4 - y3) / (x4 - x3)
		d := y3 - c * x3
		x := (d - b) / (a - c)
		y := a * x + b
		ret.x, ret.y = x, y
	}
	return ret
}

C++: #include<cmath>
#include<algorithm>
#include<iostream>
#include<vector>
#include<climits>

using namespace std;

double EPS = 1e-10;
const double PI = acos(-1);

double add(double a, double b){
  if(abs(a+b) < EPS * (abs(a)+abs(b)))return 0;
  return a+b;
}

struct point{
  double x, y;
  point(){}
  point(double x,double y) : x(x) , y(y){}

  point operator + (point p){
    return point(add(x,p.x), add(y,p.y));
  }

  point operator - (point p){
    return point(add(x,-p.x), add(y,-p.y));
  }

  point operator * (double d){
    return point(x*d,y*d);
  }

  point operator / (double d){
    return point(x/d,y/d);
  }
  
  bool operator == ( const point &p ) const {
    return fabs(x-p.x) < EPS && fabs(y-p.y) < EPS;
  }
};

struct segment{
  point a,b;
};

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 dist(point a,point b){
  return sqrt(pow(a.x-b.x,2)+pow(a.y-b.y,2));
}

int is_point_on_line(point a, point b, point c) {
  return cross(b-a, c-a)==0.0 &&
         (dot(b-a, c-a) > -EPS) &&
         (dot(a-b, c-b) > -EPS);
}

int is_intersected_ls(point a1, point a2, point b1, point b2) {

  if(cross(a1-a2,b1-b2)==0){
    return is_point_on_line(a1,a2,b1) || is_point_on_line(a1,a2,b2) 
        || is_point_on_line(b1,b2,a1) || is_point_on_line(b1,b2,a2);
  }
  else {
    return ( cross(a2-a1, b1-a1) * cross(a2-a1, b2-a1) < EPS ) &&
           ( cross(b2-b1, a1-b1) * cross(b2-b1, a2-b1) < EPS );
  }
}

point intersection_ls(point a1, point a2, point b1, point b2) {
  point b = b2-b1;
  double d1 = abs(cross(b, a1-b1));
  double d2 = abs(cross(b, a2-b1));
  double t = d1 / (d1 + d2);

  return a1 + (a2-a1) * t;
}

int main(void){
  segment s[3];

  while(true){
    for(int i=0;i<3;i++){
      cin >> s[i].a.x >> s[i].a.y >> s[i].b.x >> s[i].b.y;
      if( s[i].a.x==0 && s[i].a.y==0 && s[i].b.x==0 && s[i].b.y==0)return 0;
      }
    
    int fg[3]={0};
    for(int i=0;i<3;i++){
      for(int j=0;j<3;j++){
	if(i!=j)
	  fg[i]+=is_intersected_ls(s[i].a,s[i].b,s[j].a,s[j].b);
      }
    }

    if(fg[0]==2 && fg[1]==2 && fg[2]==2){
      point p[3];
      for(int i=0;i<2;i++)
	    p[i]=intersection_ls(s[i].a,s[i].b,s[i+1].a,s[i+1].b);
      p[2]=intersection_ls(s[2].a,s[2].b,s[0].a,s[0].b);

      double z=(dist(p[0],p[1])+dist(p[1],p[2])+dist(p[2],p[0]))/2;
      double res=sqrt(z*(z-dist(p[0],p[1]))*(z-dist(p[1],p[2]))*(z-dist(p[2],p[0])));

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

C++: #include <vector>
#include <complex>
#include <cstdio>
#include <cassert>
#include <cmath>
using namespace std;

#define REP(i,n) for(int i=0;i<(int)n;++i)
#define FOR(i,c) for(__typeof((c).begin())i=(c).begin();i!=(c).end();++i)
#define ALL(c) (c).begin(), (c).end()

const double EPS = 1e-8;
const double INF = 1e12;
typedef complex<double> P;
namespace std {
  bool operator < (const P& a, const P& b) {
    return real(a) != real(b) ? real(a) < real(b) : imag(a) < imag(b);
  }
}
double cross(const P& a, const P& b) {
  return imag(conj(a)*b);
}
double dot(const P& a, const P& b) {
  return real(conj(a)*b);
}

struct L : public vector<P> {
  L(const P &a, const P &b) {
    push_back(a); push_back(b);
  }
};
bool on_line(const P& a, const L& l){
  return dot(l[0]-a,l[1]-a)<EPS;
}

P crosspoint(const L &l, const L &m) throw(bool){
  double A = cross(l[1] - l[0], m[1] - m[0]);
  double B = cross(l[1] - l[0], l[1] - m[0]);
  if (abs(A) < EPS && abs(B) < EPS) return m[0]; // same line
  if (abs(A) < EPS) throw(false); // !!!PRECONDITION NOT SATISFIED!!!
  return m[0] + B / A * (m[1] - m[0]);
}

int main(){
	int x1,y1,x2,y2;
	for(;~scanf("%d%d%d%d",&x1,&y1,&x2,&y2),x1||y1||x2||y2;){
		try{
			L A(P(x1,y1),P(x2,y2));
			scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
			L B(P(x1,y1),P(x2,y2));
			scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
			L C(P(x1,y1),P(x2,y2));
			P a=crosspoint(A,B),b=crosspoint(B,C),c=crosspoint(C,A);
			if(!on_line(a,A)||!on_line(a,B)||!on_line(b,B)||!on_line(b,C)||!on_line(c,C)||!on_line(c,A)){puts("kyo");continue;}
			double s=abs(cross(a,b)+cross(b,c)+cross(c,a))/2;
			if(s<EPS)puts("kyo");
			else if(s<100000)puts("syo-kichi");
			else if(s<1000000)puts("kichi");
			else if(s<1900000)puts("chu-kichi");
			else puts("dai-kichi");
		}catch(bool e){puts("kyo");}
	}
}