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<stdio.h>
#include<math.h>
#include<algorithm>
using namespace std;
bool intersect(int ax,int ay,int bx,int by,int cx,int cy,int dx,int dy){
	long long ta=(cx-dx)*(ay-cy)+(cy-dy)*(cx-ax);
	long long tb=(cx-dx)*(by-cy)+(cy-dy)*(cx-bx);
	long long tc=(ax-bx)*(cy-ay)+(ay-by)*(ax-cx);
	long long td=(ax-bx)*(dy-ay)+(ay-by)*(ax-dx);
	if(ta*tb<=0LL&&tc*td<=0LL)return true;
	else return false;
}
pair<double,double>getpoint(int ax,int ay,int bx,int by,int cx,int cy ,int dx,int dy){
	double acx=cx-ax;
	double acy=cy-ay;
	double bunbo=(bx-ax)*(dy-cy)-(by-ay)*(dx-cx);
	double r=(acx*(dy-cy)-acy*(dx-cx))/bunbo;
	return make_pair(ax+(bx-ax)*r,ay+(by-ay)*r);
}
double ABS(double a){return a<0.0?-a:a;}
int main(){
	int x1,x2,x3,x4,x5,x6;
	int y1,y2,y3,y4,y5,y6;
	while(scanf("%d%d%d%d",&x1,&y1,&x2,&y2),x1||x2||y1||y2){
		scanf("%d%d%d%d%d%d%d%d",&x3,&y3,&x4,&y4,&x5,&y5,&x6,&y6);
		if(!intersect(x1,y1,x2,y2,x3,y3,x4,y4))printf("kyo\n");
		else if(!intersect(x1,y1,x2,y2,x5,y5,x6,y6))printf("kyo\n");
		else if(!intersect(x5,y5,x6,y6,x3,y3,x4,y4))printf("kyo\n");
		else{
			pair<double,double> p,q,r;
			p=getpoint(x1,y1,x2,y2,x3,y3,x4,y4);
			q=getpoint(x1,y1,x2,y2,x5,y5,x6,y6);
			r=getpoint(x5,y5,x6,y6,x3,y3,x4,y4);
			q=make_pair(q.first-p.first,q.second-p.second);
			r=make_pair(r.first-p.first,r.second-p.second);
			double S=ABS(q.first*r.second-q.second*r.first)/2;
			if(S<0.00001)printf("kyo\n");
			else if(S<100000.0-0.00001)printf("syo-kichi\n");
			else if(S<1000000.0-0.00001)printf("kichi\n");
			else if(S<1900000.0-0.00001)printf("chu-kichi\n");
			else printf("dai-kichi\n");
		}
	}
}