#include <bits/stdc++.h>

using namespace std;

class Point {
public:
	double x, y;
};

class LineInfo {
public:
	Point p1, p2;

	LineInfo() {
		p1.x = p1.y = p2.x = p2.y = 1001;
	}
};

LineInfo LineData[3];
Point CrossPoint[3];
double Result;


double Cross_Prouct(Point A, Point B, Point C) {					//ABxAC
	return (B.x - A.x)*(C.y - A.y) - (B.y - A.y)*(C.x - A.x);
}

void getCrossPoint(int index, Point s1p1, Point s1p2, Point s2p1, Point s2p2) {

	double d1 = fabs(Cross_Prouct(s2p1, s2p2, s1p1));
	double d2 = fabs(Cross_Prouct(s2p1, s2p2, s1p2));
	double t = d1 / (d1 + d2);
	CrossPoint[index].x = s1p1.x + (s1p2.x - s1p1.x)*t;
	CrossPoint[index].y = s1p1.y + (s1p2.y - s1p1.y)*t;
}

bool isIntersection(Point A, Point B, Point C, Point D) {
	if (max(A.x, B.x) < min(C.x, D.x)) {
		return false;
	}
	if (max(C.x, D.x) < min(A.x, B.x)) {
		return false;
	}
	if (max(A.y, B.y) < min(C.y, D.y)) {
		return false;
	}
	if (max(C.y, D.y) < min(A.y, B.y)) {
		return false;
	}
	if (Cross_Prouct(A, B, C)*Cross_Prouct(A, B, D) <= 0 &&
		Cross_Prouct(C, D, A)*Cross_Prouct(C, D, B) <= 0) {
		return true;
	}
	/*if (min(A.x, B.x) <= max(C.x, D.x) &&
		min(C.x, D.x) <= max(A.x, B.x) &&
		min(A.y, B.y) <= max(C.y, D.y) &&
		min(C.y, D.y) <= max(A.y, B.y) &&
		Cross_Prouct(A, B, C)*Cross_Prouct(A, B, D) <= 0 &&
		Cross_Prouct(C, D, A)*Cross_Prouct(C, D, B) <= 0) {
		return true;
	}*/
	return false;
}

void solve() {

	if (!isIntersection(LineData[0].p1, LineData[0].p2, LineData[1].p1, LineData[1].p2)) {
		//三角形なし
		Result = 0.0;
		return;
	}
	if (!isIntersection(LineData[1].p1, LineData[1].p2, LineData[2].p1, LineData[2].p2)) {
		//三角形なし
		Result = 0.0;
		return;
	}
	if (!isIntersection(LineData[2].p1, LineData[2].p2, LineData[0].p1, LineData[0].p2)) {
		//三角形なし
		Result = 0.0;
		return;
	}

	for (int i = 0; i < 3; i++) {
		getCrossPoint(i, LineData[i].p1, LineData[i].p2, LineData[(i + 1) % 3].p1, LineData[(i + 1) % 3].p2);
	}

	Result = fabs(Cross_Prouct(CrossPoint[0], CrossPoint[1], CrossPoint[2])) / 2.0;
	//cout << Result << endl;
}

int main() {
	int x1, y1, x2, y2;

	while (1) {
		for (int i = 0; i < 3; i++) {
			cin >> x1 >> y1 >> x2 >> y2;
			if (i == 0 && x1 == 0 && y1 == 0 && x2 == 0 && y2 == 0) {
				return 0;
			}
			LineData[i].p1.x = x1;
			LineData[i].p1.y = y1;
			LineData[i].p2.x = x2;
			LineData[i].p2.y = y2;
		}
		/*for (int i = 0; i < 3; i++) {
			cout << LineData[i].p1.x << " " << LineData[i].p1.y << " " << LineData[i].p2.x << " " << LineData[i].p2.y << endl;
		}*/
		solve();
		if (Result >= 1900000) {
			cout << "dai-kichi" << endl;
		}
		else if (Result >= 1000000) {
			cout << "chu-kichi" << endl;
		}
		else if (Result >= 100000) {
			cout << "kichi" << endl;
		}
		else if (Result > 0) {
			cout << "syo-kichi" << endl;
		}
		else {
			cout << "kyo" << endl;
		}
	}

	return 0;
}
