#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()]
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]);}
double area2(P a, P b , P c){
		b-=a, c-=a , a-=a;
		return fabs( b.real() * c.imag() - c.real() * b.imag() )/2; 
}
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;
		/*
			cout << intersectSS(one,two) << endl;
			cout << intersectSS(two,three) << endl;
			cout << intersectSS(one,three) << endl;
		*/
		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[0],npts[1],npts[2]);
		}
		if(ret >= 1900000){
			cout << "dai-kichi" << endl;
		}else if(ret >= 1000000+EPS){
			cout << "chu-kichi" << endl;
		}else if(ret >= 100000+EPS){
			cout << "kichi" << endl;
		}else if(ret >= EPS){
			cout << "syo-kichi" << endl;
		}else{
			cout << "kyo" << endl;
		}
	}
}