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 <vector>
#include <complex>
using namespace std;

#define EPS (1e-10)

typedef complex<double> P;

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

int is_intersected_ls(P a1, P a2, P b1, P b2) {
	return
		( cross(a2-a1, b1-a1) * cross(a2-a1, b2-a1) < EPS ) &&
		( cross(b2-b1, a1-b1) * cross(b2-b1, a2-b1) < EPS );
}

P intersection_ls(P a1, P a2, P b1, P b2) {
	P 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;
}

double area(vector<P> v){
	int n = v.size();
	double res = 0.0;

	for(int i=0;i<n;i++){
		res += cross(v[i],v[(i+1)%n]);
	}
	return fabs(res)/2;
}

int main(void){
	P s[3],g[3];

	while(1){
		for(int i=0;i<3;i++){
			cin>>s[i].real()>>s[i].imag()>>g[i].real()>>g[i].imag();
			if(s[i] == P(0,0) && g[i] == P(0,0)) return 0;
		}

		if(!is_intersected_ls(s[0],g[0],s[1],g[1]) ||
			 !is_intersected_ls(s[1],g[1],s[2],g[2]) ||
			 !is_intersected_ls(s[2],g[2],s[0],g[0]))
			cout<<"kyo\n";
		else{
			vector<P> v;
			v.push_back(intersection_ls(s[0],g[0],s[1],g[1]));
			v.push_back(intersection_ls(s[1],g[1],s[2],g[2]));
			v.push_back(intersection_ls(s[2],g[2],s[0],g[0]));

			double a = area(v);
			if(a >= 1900000) cout<<"dai-kichi\n";
			else if(a >= 1000000) cout<<"chu-kichi\n";
			else if(a >= 100000) cout<<"kichi\n";
			else if(a > 0) cout<<"syo-kichi\n";
			else cout<<"kyo\n";
		}
	}

	return 0;
}