#include <iostream>
#include <string>
#include <vector>
#include <cmath>
using namespace std;

const double INF = 1e8;
const double eps = 1e-8;

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

class LineSeg {
public:
    bool vertical;
    double a, b; // y = a * x + b
    Point p1, p2;
    double min_x, max_x, min_y, max_y;
    LineSeg(Point p1, Point p2) : p1(p1), p2(p2) {
        if (p1.x == p2.x) {
            vertical = true;
            a = 0;
            b = 0;
        } else {
            vertical = false;
            a = (p2.y - p1.y) / (p2.x - p1.x);
            b = p1.y - a * p1.x;
        }
        min_x = min(p1.x, p2.x); max_x = max(p1.x, p2.x);
        min_y = min(p1.y, p2.y); max_y = max(p1.y, p2.y);
    }
};

double eq(double x, double y) {
    return abs(x - y) < eps;
}

bool isParallel(LineSeg &L1, LineSeg &L2) {
    if (L1.vertical && L2.vertical) return true;
    if (!L1.vertical && !L2.vertical && abs(L1.a - L2.a) < eps) return true;
    return false;
}

Point intersection(LineSeg L1, LineSeg L2) {
    if (isParallel(L1, L2)) {
        return Point(INF, INF);
    }
    double x, y;
    if (L1.vertical) {
        x = L1.min_x;
        y = L2.a * x + L2.b;
    } else if (L2.vertical) {
        x = L2.min_x;
        y = L1.a * x + L1.b;
    } else {
        x = (L2.b - L1.b) / (L1.a - L2.a);
        y = L1.a * x + L1.b;
    }
    if (x < L1.min_x || L1.max_x < x || y < L1.min_y || L1.max_y < y ||
        x < L2.min_x || L2.max_x < x || y < L2.min_y || L2.max_y < y) {
        return Point(INF, INF);
    }
    return Point(x, y);
}

double areaOfTriangle(Point A, Point B, Point C) {
    return abs((B.x - A.x) * (C.y - A.y) - (B.y - A.y) * (C.x - A.x)) / 2.0;
}

int main() {
    int x1, y1, x2, y2;
    while (cin >> x1 >> y1 >> x2 >> y2, (x1 || y1 || x2 || y2)) {

        vector<LineSeg> L;
        L.push_back( LineSeg(Point(x1,y1), Point(x2,y2)) );
        for (int i=1; i<3; ++i) {
            cin >> x1 >> y1 >> x2 >> y2;
            L.push_back( LineSeg(Point(x1,y1), Point(x2,y2)) );
        }

        bool kyo = false;
        vector<Point> P;
        for (int i=0; i<3 && !kyo; ++i) {
            for (int j=i+1; j<3 && !kyo; ++j) {
                Point p = intersection(L[i], L[j]);
                if (p.x == INF) {
                    kyo = true;
                } else {
                    P.push_back(p);
                }
            }
        }

        if (kyo) {
            cout << "kyo" << endl;
        } else {
            double area = areaOfTriangle(P[0], P[1], P[2]);
            if (area < eps) {
                cout << "kyo" << endl;
            } else if (1900000 <= area + eps) {
                cout << "dai-kichi" << endl;
            } else if (1000000 <= area + eps) {
                cout << "chu-kichi" << endl;
            } else if (100000 <= area + eps) {
                cout << "kichi" << endl;
            } else {
                cout << "syo-kichi" << endl;
            }
        }
    }
    return 0;
}