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 <math.h>
using namespace std;

double cross(double x1,double y1,double x2,double y2,double x3,double y3,double x4,double y4) {
	double m;
	m=(x4-x3)*(y2-y1)-(x2-x1)*(y4-y3);
	if (m==0) return -1;
	return ((x1-x3)*(y4-y3)-(x4-x3)*(y1-y3))/m;
 }

int main() {
  double a,s,sx[3],sy[3],ex[3],ey[3],cx[3],cy[3],hx,lx,hy,ly;
  int i,k;
  while(true) {
	lx=ly=9999999; hx=hy=-lx;  
   for (i=0;i<3;i++) {
	      cin >> sx[i] >> sy[i] >> ex[i] >> ey[i];
	      if (sx[i]==0 &&  sy[i]==0 && ex[i]==0 && ey[i]==0) return 0; 
	      }
	   for (i=0;i<3;i++) {
		k=(i+1) % 3;
		s=cross(sx[i],sy[i],ex[i],ey[i],sx[k],sy[k],ex[k],ey[k]);
		cx[i]=sx[i]+s*(ex[i]-sx[i]); cy[i]=sy[i]+s*(ey[i]-sy[i]);
		if (s<0 || s>1 || (cx[i]<sx[k] && cx[i]<ex[k]) || (cx[i]>sx[k] && cx[i]>ex[k]) || (cy[i]<sy[k] && cy[i]<ey[k]) || (cy[i]>sy[k] && cy[i]>ey[k])) break;
		hx=hx<cx[i] ? cx[i]:hx; lx=lx>cx[i] ? cx[i]:lx;
		hy=hy<cy[i] ? cy[i]:hy; ly=ly>cy[i] ? cy[i]:ly;
	}
	if (i!=3) { cout << "kyo" << endl; continue;}
	for (s=0,i=0;i<3;i++) s+=fabs(cx[i]-cx[(i+1) % 3])*fabs(cy[i]-cy[(i+1) % 3]);
	a=(hx-lx)*(hy-ly)-s/2;
	if (a>=1900000) cout << "dai-kichi"; else if (a>=1000000) cout << "chu-kichi";
	else if (a>=100000) cout << "kichi"; else if (a>0) cout << "syo-kichi";
	else cout << "kyo";
	cout << endl; 
 } 
  return 0;
}