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 <cstdio>
#include <cstdlib>
#include <cmath>
#include <climits>
#include <cfloat>
#include <map>
#include <utility>
#include <set>
#include <iostream>
#include <memory>
#include <string>
#include <vector>
#include <algorithm>
#include <functional>
#include <sstream>
#include <complex>
#include <stack>
#include <queue>
using namespace std;
static const double EPS = 1e-8;
typedef long long ll;
#define rep(i,n) for(int i=0;i<n;i++)
#define rev(i,n) for(int i=n-1;i>=0;i--)
#define sz(a) a.size()
#define all(a) a.begin(),a.end()
#define mp(a,b) make_pair(a,b)
#define pb(a) push_back(a)
#define SS stringstream
#define DBG1(a) rep(_X,sz(a)){printf("%d ",a[_X]);}puts("");
#define DBG2(a) rep(_X,sz(a)){rep(_Y,sz(a[_X]))printf("%d ",a[_X][_Y]);puts("");}
#define bitcount(b) __builtin_popcount(b)
#define REP(i, s, e) for ( int i = s; i <= e; i++ )  

const double INF = 1e12;
typedef complex<double> P,point;
typedef vector<P> G,polygon;
namespace std {bool operator < (const P& a, const P& b) {return real(a) != real(b) ? real(a) < real(b) : imag(a) < imag(b);}}
double cross(const P& a, const P& b) {return imag(conj(a)*b);}
double dot(const P& a, const P& b) {return real(conj(a)*b);}
struct L : public vector<P> {L(const P &a, const P &b) {push_back(a); push_back(b);}};
struct C {P p; double r;C(const P &p, double r) : p(p), r(r) { }};
int ccw(P a, P b, P c) {b -= a; c -= a;if (cross(b, c) > 0)   return +1;if (cross(b, c) < 0)   return -1;if (dot(b, c) < 0) return +2;if (norm(b) < norm(c)) return -2;return 0;}
bool intersectSS(const L &s, const L &t) {return ccw(s[0],s[1],t[0])*ccw(s[0],s[1],t[1]) <= 0 && ccw(t[0],t[1],s[0])*ccw(t[0],t[1],s[1]) <= 0;}

// Where is Point in Polygon? //
#define curr(P, i) P[i]
#define next(P, i) P[(i+1)%P.size()]
double area2(const polygon& P) {double A = 0;for (int i = 0; i < P.size(); ++i)A += cross(curr(P, i), next(P, i));return A;}
P crosspoint(const L &l, const L &m) {double A = cross(l[1] - l[0], m[1] - m[0]);double B = cross(l[1] - l[0], l[1] - m[0]);if (abs(A) < EPS && abs(B) < EPS) return m[0];return m[0] + B / A * (m[1] - m[0]);}

int main(){
	double a,b,c,d;
	while(cin >> a >> b >> c >> d , a+b+c+d != 0){
		L one = L(P(a,b),P(c,d));
		cin >> a >> b >> c >> d;
		L two = L(P(a,b),P(c,d));
		cin >> a >> b >> c >> d;
		L three = L(P(a,b),P(c,d));
		double ret = 0;
		if(intersectSS(one,two) && intersectSS(two,three) && intersectSS(one,three)){
			G npts;
			npts.push_back( crosspoint(one,two) );
			npts.push_back( crosspoint(two,three) );
			npts.push_back( crosspoint(one,three) );
			sort(all(npts));
			ret = area2(npts);
		}
		if(ret >= 1900000){
			cout << "dai-kichi" << endl;
		}else if(ret >= 1000000){
			cout << "chu-kichi" << endl;
		}else if(ret >= 100000){
			cout << "kichi" << endl;
		}else if(ret >= EPS){
			cout << "syo-kichi" << endl;
		}else{
			cout << "kyo" << endl;
		}
	}
}

C++: #include <cstdio>
#include <cmath>

#define EPS (1e-9)

using namespace std;

bool eq(double a, double b)
{
	return (fabs(b - a) <= EPS);
}

bool getP(int x1, int y1, int x2, int y2, int p1, int q1, int p2, int q2, double *r1, double *r2)
{
	int D = (x2 - x1) * (q2 - q1) - (y2 - y1) * (p2 - p1);
	if (D == 0) return (false);
	
	double r, s;
	
	r = ((q2 - q1) * (p1 - x1) - (p2 - p1) * (q1 - y1)) / (double)D;
	s = ((y2 - y1) * (p1 - x1) - (y2 - y1) * (q1 - y1)) / (double)D;
	//printf("%lf %lf\n", r, s);
	if (0 <= r + EPS && r - EPS <= 1 &&
		0 <= s + EPS && s - EPS <= 1){
		*r1 = x1 + r * (x2 - x1);
		*r2 = y1 + r * (y2 - y1);
		return (true);
	}
	
	return (false);
}

int main()
{
	int x1[3], y1[3], x2[3], y2[3];
	double x3[3], y3[3];
	
	while (1){
		for (int i = 0; i < 3; i++){
			scanf("%d %d %d %d", x1 + i, y1 + i, x2 + i, y2 + i);
			if (x1[i] == 0 && x2[i] == 0 && y1[i] == 0 && y2[i] == 0) return (0);
		}
		
		for (int i = 0; i < 3; i++){
			for (int j = i + 1; j < 3; j++){
				if (!getP(x1[i], y1[i], x2[i], y2[i],
						  x1[j], y1[j], x2[j], y2[j],
						  &x3[i], &y3[i])){
						  printf("kyo\n");
						  goto ng;
				}
			}
		}
		
		for (int i = 0; i < 3; i++) for (int j = i + 1; j < 3; j++) if (eq(x3[i], x3[j]) && eq(y3[i], y3[j])){
			printf("kyo\n"); goto ng;
		}
		x3[0] -= x3[2]; x3[1] -= x3[2];
		y3[0] -= y3[2]; y3[1] -= y3[2];
		
		double S;
		
		S = 0.5 * fabs(x3[0] * y3[1] - y3[0] * x3[1]);
		
		if (S >= 1900000) printf("dai-kichi\n");
		else if (S >= 1000000) printf("chu-kichi\n");
		else if (S >= 100000) printf("kichi\n");
		else if (S > 0) printf("syo-kichi\n");
		else printf("kyo\n");
		
		ng:;
	}
	
	return (0);
}