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 <iostream>
#include <cmath>

using namespace std;

#define EPS 1e-8

struct Point{
  double x,y;
  Point(double x = 0.0, double y = 0.0) : 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(x*a,y*a); }
  Point operator / (double a){ return Point(x/a,y/a); }
  double abs(){ return sqrt(norm()); }
  double norm(){ return x*x + y*y; }
};

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

int ccw(Point p0,Point p1,Point p2){
  Vector a = p1-p0;
  Vector b = p2-p0;
  if(cross(a,b) > EPS) return 1;
  if(cross(a,b) < -EPS) return -1;
  if(dot(a,b) < -EPS) return 2;
  if(a.norm() < b.norm()) return -2;
  return 0;
}

struct Segment{
  Vector p1,p2;
  Segment(){}
  Segment(Vector p1,Vector p2) : p1(p1),p2(p2) {}
};

bool intersectSS(const Segment &s,const Segment &t){
  return (ccw(s.p1,s.p2,t.p1)*ccw(s.p1,s.p2,t.p2) <= 0) && 
         (ccw(t.p1,t.p2,s.p1)*ccw(t.p1,t.p2,s.p2) <= 0);
}

Point getCrossPoint(Segment s,Segment t){
  Vector b = t.p2 - t.p1;
  double d1 = abs(cross(b,s.p1-t.p1));
  double d2 = abs(cross(b,s.p2-t.p1));
  double d = d1 / (d1 + d2);
  return s.p1+(s.p2-s.p1)*d;
}

double getArea(Point a,Point b,Point c){
  return fabs(a.x*(b.y-c.y)+b.x*(c.y-a.y)+c.x*(a.y-b.y))/2;
}

Segment s[3];
void solve(){
  Point p1 = getCrossPoint(s[0],s[1]);
  Point p2 = getCrossPoint(s[1],s[2]);
  Point p3 = getCrossPoint(s[2],s[0]);
  double S = getArea(p1,p2,p3);
  if(S >= 1900000){
    cout << "dai-kichi" << endl;
  }else if(S >= 1000000){
    cout << "chu-kichi" << endl;
  }else if(S >= 100000){
    cout << "kichi" << endl;
  }else if(S > 0){
    cout << "syo-kichi" << endl;
  }else{
    cout << "kyo" << endl;
  }
}

int main(){
  while(true){
    cin >> s[0].p1.x >> s[0].p1.y >> s[0].p2.x >> s[0].p2.y;
    if(!s[0].p1.x && !s[0].p1.y && !s[0].p2.x && !s[0].p2.y) break;

    for(int i = 0 ; i < 2 ; i++){
      cin >> s[i+1].p1.x >> s[i+1].p1.y >> s[i+1].p2.x >> s[i+1].p2.y;
    }
    if(intersectSS(s[0],s[1]) && intersectSS(s[1],s[2]) && intersectSS(s[2],s[0])){
      solve();
    }else{
      cout << "kyo" << endl;
    }
  }

  return 0;
}

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

#define INF 1e99
#define EPS 1e-7

typedef complex<double> point;
typedef const point &rpoint;


double cross(rpoint a, rpoint b){
	return a.real() * b.imag() - a.imag() * b.real();
}

double intersect(point pa1, point pa2, point pb1, point pb2){
	point difa = pa2 - pa1;
	point difb = pb2 - pb1;
	point difab1 = pb1 - pa1;

	double D = cross(difa, -difb);

	if(abs(D) > EPS){
		double t = cross(difab1, -difb) / D;
		double s = cross(difa, difab1) / D;
		
		if(t >= 0.0 && t <= 1.0 && s >= 0.0 && s <= 1.0){
			return t;
		}
	}
	return INF;
}

int main(){
	point s[3], f[3], z[3];
	int x1, x2, y1, y2;

	while(true){
		for(int i = 0; i < 3; ++i){
			if( scanf("%d%d%d%d", &x1, &y1, &x2, &y2) != 4 ){
				return 0;
			}
			s[i] = point(x1, y1);
			f[i] = point(x2, y2);
		}
		
		int j;
		for(j = 0; j < 3; ++j){
			double t = intersect(s[j], f[j], s[(j+1)%3], f[(j+1)%3]);
			if( t == INF ){
				puts("kyo");
				break;
			}
			
			z[j] = (1.0 - t) * s[j] + t * f[j];
		}
		
		if( j == 3 ){
			double s = abs( cross(z[1] - z[0], z[2] - z[0]) ) * 0.5;
			
			if( s >= 1.9e6 ){
				puts("dai-kichi");
			}
			else if( s >= 1e6 ){
				puts("chu-kichi");
			}
			else if( s >= 1e5 ){
				puts("kichi");
			}
			else if( s > EPS ){
				puts("syo-kichi");
			}
			else{
				puts("kyo");
			}
		}
	}
}