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 <bits/stdc++.h>
using namespace std;
const int dx[]={0,1,0,-1,1,-1,-1,1};
const int dy[]={-1,0,1,0,1,1,-1,-1};
const int INF = 1<<30;
const double EPS = 1e-15;
#define PB push_back
#define mk make_pair
#define fi first
#define se second
#define ll long long
#define reps(i,j,k) for(int i = (j); i < (k); i++)
#define rep(i,j) reps(i,0,j)
#define MOD 1000000007
typedef pair<int,int> Pii;
typedef pair<int,Pii> P;
typedef vector<int> vi;
typedef vector<vi> vvi;
struct Point{
    double x,y;
    Point(){}
    Point(double _x,double _y){
        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 k){
        return Point(k*x,k*y);
    }
 
 	Point operator / (double k){
 		return Point(x/k,y/k);
 	}

    bool operator<(const Point &p)const{
        return x!=p.x?x<p.x:y<p.y;
    }
 
};
double dot(Point p, Point q){
    return p.x*q.x+p.y*q.y;
}
 
double cross(Point p,Point q){
    return p.x*q.y-q.x*p.y;
}
 
double norm(Point p){
    return p.x*p.x+p.y*p.y;
}
 
double pabs(Point p){
    return sqrt(norm(p));
}
typedef vector<Point> Polygon;
struct Line : Polygon{
    Line(){}
    Line(Point p,Point q){
        PB(p);
        PB(q);  
    }
};
struct Circle{
    Point p; //中心点
    double r; //半径
    Circle(){}
    Circle(Point _p,double _r){
        p = _p;
        r = _r;
    }
};
int ccw(Point a,Point b,Point c){
    b = b-a;
    c = c-a;
    if(cross(b,c) > 0)return +1; //a→b で反時計に折れてc ccw
    if(cross(b,c) < 0)return -1; //a→b で時計に折れてc ccw
    if(dot(b,c) < 0)return +2; // c--a--b;
    if(pabs(b)<pabs(c))return -2; //a--b--c
    return 0; //a--c--b
}
bool intersectSS(Line l,Line m){
    //lとmが交差してるかどうか
    return (ccw(l[0],l[1],m[0])*ccw(l[0],l[1],m[1])<=0)&&
            (ccw(m[0],m[1],l[0])*ccw(m[0],m[1],l[1])<=0);
}

double TriangleArea(Point a,Point b,Point c){
	b = b - a;
	c = c - a;
	return fabs(cross(b,c))*0.5;
}

double VertexArea(Polygon v){
	double subArea = 0.0;
	rep(i,v.size()-1){
		subArea += TriangleArea(v[0],v[i],v[i+1]);
	}
}

Point crosspoint(Line l,Line m){
	if(intersectSS(l,m) == false)return Point(INF,INF);
	return m[0]+(m[1]-m[0])*cross(l[1]-l[0],l[1]-m[0])/cross(l[1]-l[0],m[1]-m[0]);
}

int main(){
	while(true){
		bool endflg = false;
		Line l[3];
		rep(i,3){
			double x1,y1,x2,y2;
			scanf("%lf%lf%lf%lf",&x1,&y1,&x2,&y2);
			if(i == 0){
				if(x1 == 0.0 && y1 == 0.0 && x2 == 0.0 && y2 == 0.0){
					endflg = true;
					break;
				}
			}
			l[i].PB(Point(x1,y1));
			l[i].PB(Point(x2,y2));
		}
		if(endflg)break;
		Point p[3];
		p[0] = crosspoint(l[0],l[1]);
		p[1] = crosspoint(l[0],l[2]);
		p[2] = crosspoint(l[1],l[2]);
		double area = TriangleArea(p[0],p[1],p[2]);
		if(area-1900000>-EPS)puts("dai-kichi");
		else if(area-1000000>-EPS)puts("chu-kichi");
		else if(area-100000>-EPS)puts("kichi");
		else if(area>-EPS)puts("syo-kichi");
		else puts("kyo");
	}
	return 0;
}