#include <cstdio>
#include <cmath>
  
#define EPS (1e-9)
  
using namespace std;
  
bool eq(double a, double b)
{
    return (fabs(b - a) <= EPS);
}
  
bool getP(int x1, int y1, int x2, int y2, int p1, int q1, int p2, int q2, double *r1, double *r2)
{
    int D = (x2 - x1) * (q2 - q1) - (y2 - y1) * (p2 - p1);
    if (D == 0) return (false);
      
    double r, s;
      
    r = ((q2 - q1) * (p1 - x1) - (p2 - p1) * (q1 - y1)) / (double)D;
    s = ((y2 - y1) * (p1 - x1) - (y2 - y1) * (q1 - y1)) / (double)D;
    //printf("%lf %lf\n", r, s);
    if (0 <= r + EPS && r - EPS <= 1 &&
        0 <= s + EPS && s - EPS <= 1){
        *r1 = x1 + r * (x2 - x1);
        *r2 = y1 + r * (y2 - y1);
        return (true);
    }
      
    return (false);
}
  
int main()
{
    int x1[3], y1[3], x2[3], y2[3];
    double x3[3], y3[3];
      
    while (1){
        for (int i = 0; i < 3; i++){
            scanf("%d %d %d %d", x1 + i, y1 + i, x2 + i, y2 + i);
            if (i == 0 && x1[i] == 0 && x2[i] == 0 && y1[i] == 0 && y2[i] == 0) return (0);
        }
          
        int k = 0;
        for (int i = 0; i < 3; i++){
            for (int j = i + 1; j < 3; j++){
                if (!getP(x1[i], y1[i], x2[i], y2[i],
                          x1[j], y1[j], x2[j], y2[j],
                          &x3[k], &y3[k])){
                          printf("kyo\n");
                          goto ng;
                }
                k++;
            }
        }
          
        for (int i = 0; i < 3; i++) for (int j = i + 1; j < 3; j++) if (eq(x3[i], x3[j]) && eq(y3[i], y3[j])){
            printf("kyo\n"); goto ng;
        }
        x3[0] -= x3[2]; x3[1] -= x3[2];
        y3[0] -= y3[2]; y3[1] -= y3[2];
          
        double S;
          
        S = 0.5 * fabs(x3[0] * y3[1] - y3[0] * x3[1]);
          
        if (eq(S, 0)) printf("kyo\n");
        else if (S + EPS >= 1900000) printf("dai-kichi\n");
        else if (S + EPS >= 1000000) printf("chu-kichi\n");
        else if (S + EPS >= 100000) printf("kichi\n");
        else printf("syo-kichi\n");
          
        ng:;
    }
      
    return (0);
}