//#include <bits/stdc++.h>
#include <iostream>
#include <cmath>
#include <vector>
#include <cstdio>
#define rep(i,n) for(int i=0;i<n;i++)
//#define int long long
using namespace std;

/////////////////////???Library???/////////////////////////

#define EPS (1e-10)
#define equals(a, b) (fabs((a) - (b)) < EPS)

class Point {
public:
	double x, y;

	Point(double x = 0, double y = 0): 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 a) { return Point(a * x, a * y); }
	Point operator / (double a) { return Point(x / a, y / a); }

	double abs() { return sqrt(norm()); }
	double norm() { return x * x + y * y; }

	bool operator < (const Point &p) const {
		return x != p.x ? x < p.x : y < p.y;
	}

	bool operator == (const Point &p) const {
		return fabs(x - p.x) < EPS && fabs(y - p.y) < EPS;
	}
};

typedef Point Vector;
struct Segment { 
	Point p1, p2;
	Segment(Point p1, Point p2): p1(p1), p2(p2) {} 
};
typedef Segment Line;

double norm(Vector a) {
	return a.x * a.x + a.y * a.y;
}

class Circle {
public:
	Point c;
	double r;
	Circle(Point c = Point(), double r = 0.0): c(c), r(r) {}
};

typedef vector<Point> Polygon;

double dot(Vector a, Vector b) {
	return a.x * b.x + a.y * b.y;
}

double cross(Vector a, Vector b) {
	return a.x*b.y - a.y*b.x;
}

bool isOrthogonal(Vector a, Vector b) {
	return equals(dot(a, b), 0.0);
}

bool isOrthogonal(Point a1, Point a2, Point b1, Point b2) {
	return isOrthogonal(a1 - a2, b1 - b2);
}

bool isOrthogonal(Segment s1, Segment s2) {
	return equals(dot(s1.p2 - s1.p1, s2.p2 - s2.p1), 0.0);
}

bool isParallel(Vector a, Vector b) {
	return equals(cross(a, b), 0.0);
}

bool isParallel(Point a1, Point a2, Point b1, Point b2) {
	return isParallel(a1 - a2, b1 - b2);
}

bool isParallel(Segment s1, Segment s2) {
	return equals(cross(s1.p2 - s1.p1, s2.p2 - s2.p1), 0.0);
}

Point project(Segment s, Point p) {
	Vector base = s.p2 - s.p1;
	double r = dot(p - s.p1, base) / norm(base);
	return s.p1 + base * r;
}

static const int COUNTER_CLOCKWISE = 1;
static const int CLOCKWISE = -1;
static const int ONLINE_BACK = 2;
static const int ONLINE_FRONT = -2;
static const int ON_SEGMENT = 0;

int ccw(Point p0, Point p1, Point p2) {
	Vector a = p1 - p0;
	Vector b = p2 - p0;
	if ( cross(a, b) > EPS ) return COUNTER_CLOCKWISE;
	if ( cross(a, b) < -EPS ) return CLOCKWISE;
	if ( dot(a, b) < -EPS ) return ONLINE_BACK;
	if ( a.norm() < b.norm() ) return ONLINE_FRONT;

	return ON_SEGMENT;
}

bool intersect(Point p1, Point p2, Point p3, Point p4) {
	return ( ccw(p1, p2, p3) * ccw(p1, p2, p4) <= 0 &&
			 ccw(p3, p4, p1) * ccw(p3, p4, p2) <= 0 );
}

bool intersect(Segment s1, Segment s2) {
	return intersect(s1.p1, s1.p2, s2.p1, s2.p2);
}

Point getCrossPoint(Segment s1, Segment s2) {
	Vector base = s2.p2 - s2.p1;
	double d1 = abs(cross(base, s1.p1 - s2.p1));
	double d2 = abs(cross(base, s1.p2 - s2.p1));
	double t = d1 / (d1 + d2);
	return s1.p1 + (s1.p2 - s1.p1) * t;
}

/////////////////////???Library???/////////////////////////

int xx1, yy1, xx2, yy2;

signed main()
{
	while (true)
	{
		cin >> xx1 >> yy1 >> xx2 >> yy2;
		if (xx1 == 0 && yy1 == 0 && xx2 == 0 && yy2 == 0) break;
		
		Segment s1(Point(xx2, yy2), Point(xx1, yy1));
		cin >> xx1 >> yy1 >> xx2 >> yy2;
		Segment s2(Point(xx2, yy2), Point(xx1, yy1));
		cin >> xx1 >> yy1 >> xx2 >> yy2;
		Segment s3(Point(xx2, yy2), Point(xx1, yy1));

		if (isParallel(s1, s2) || isParallel(s1, s3) || isParallel(s2, s3))
		{
			printf("kyo\n");
			continue;
		}

		int kousa_num = 0;
		if (intersect(s1, s2)) kousa_num++;
		if (intersect(s1, s3)) kousa_num++;
		if (intersect(s2, s3)) kousa_num++;
		//printf("kousa_num = %d\n", kousa_num);
		if (kousa_num <= 2)
		{
			printf("kyo\n");
			continue;
		}

		Point p1 = getCrossPoint(s1, s2);
		Point p2 = getCrossPoint(s1, s3);
		Point p3 = getCrossPoint(s2, s3);

		/*
		printf("p1 = (%f, %f)\n", p1.x, p1.y);
		printf("p2 = (%f, %f)\n", p2.x, p2.y);
		printf("p3 = (%f, %f)\n", p3.x, p3.y);
		*/

		if (p1 == p2 && p2 == p3)
		{
			printf("kyo\n");
			continue;
		}

		Vector v12 = p2 - p1;
		Vector v13 = p3 - p1;

		double ans = fabs(cross(v12, v13) / 2.0f);
		if (ans >= 1900000.0f) printf("dai-kichi\n");
		else if (ans >= 1000000.0f) printf("chu-kichi\n");
		else if (ans >= 100000.0f) printf("kichi");
		else printf("syo-kichi\n");
	}
}