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-12;
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);}};

int ccw(P a, P b, P c) {
  b -= a; c -= a;
  if (cross(b, c) > 0)   return +1;       // counter clockwise
  if (cross(b, c) < 0)   return -1;       // clockwise
  if (dot(b, c) < 0)     return +2;       // c--a--b on line
  if (norm(b) < norm(c)) return -2;       // a--b--c on line
  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;
}
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]; // same line
  return m[0] + B / A * (m[1] - m[0]);
}
double getArea(P a, P b , P c){
		b-=a, c-=a;
		return fabs( b.real() * c.imag() - c.real() * b.imag() ) / 2.0; 
}
int main(){
	double a,b,c,d;
	while(cin >> a >> b >> c >> d , a || b || c || d){
		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)){
			ret = getArea( crosspoint(one,two) , crosspoint(two,three) , crosspoint(one,three) );
			cout << ret << endl;
		}
		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 > 0){
			cout << "syo-kichi" << endl;
		}else{
			cout << "kyo" << endl;
		}
	}
}

C++: #include<iostream>
#include<cstdio>
#include<algorithm>
#include<climits>
#include<string>
#include<vector>
#include<list>
#include<map>
#include<set>
#include<cmath>
#include<queue>
#include<cstring>
#include<stack>
using namespace std;
#define EPS 1e-10

struct Point{
    double x,y;
    Point(){}
    Point(double _x,double _y){
        x=_x; y=_y;
    }
    Point operator +(const Point p)const{
        return Point(x+p.x,y+p.y);
    }
    Point operator -(const Point p)const{
        return Point(x-p.x,y-p.y);
    }
	Point operator *(const double d)const{
		return Point(x*d,y*d);
	}
};

struct Line{
    Point a,b;
    Line(){}
    Line(Point _a,Point _b){
        a=_a; b=_b;
    }
};

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;
}

int ccw(Point a,Point b,Point c){
    if(cross(b-a,c-b)>0) return +1;
    if(cross(b-a,c-b)<0) return -1;
    return 0;
}

bool intersectSS(Line l,Line m) {
    return ccw(l.a,m.a,l.b)*ccw(l.a,m.b,l.b)<=0 && ccw(m.a,l.a,m.b)*ccw(m.a,l.b,m.b)<=0;
}

bool pss(Line l,Line m,Point &p){
    if(intersectSS(l,m)==false) return false;
	Point a1,a2,b1,b2;
	a1 = l.b-l.a; a2 = m.b-m.a;
	b1 = m.a-l.a; b2 = m.b-l.a;
	double s1,s2;
	s1 = abs(cross(a1,b1)/2); s2 = abs(cross(a1,b2)/2);
	if(s1<EPS && s2<EPS) return false;
	p = Point(m.a.x+a2.x*s1/(s1+s2),m.a.y+a2.y*s1/(s1+s2));
	return true;
}

int main(){
	Line l[3];
	while(true){
		for(int i=0;i<3;i++){
			cin>>l[i].a.x>>l[i].a.y>>l[i].b.x>>l[i].b.y;
			if(l[i].a.x==0 && l[i].a.y==0 && l[i].b.x==0 && l[i].b.y==0) return 0;
		}
		Point p[3];
		bool kyo = false;
		for(int i=0;i<3;i++){
			if(pss(l[i],l[(i+1)%3],p[i])==false) kyo = true;
		}
		if(kyo==true){
			puts("kyo"); continue;
		}
		double s = abs(cross(p[1]-p[0],p[2]-p[0])/2);
		//printf("\t%lf\n",s);
		if(s<EPS) puts("kyo");
		else if(s<100000.0) puts("syo-kichi");
		else if(s<1000000.0) puts("kichi");
		else if(s<1900000.0) puts("chu-kichi");
		else puts("dai-kichi");
	}
    return 0;
}