#include <iostream>
#include <cstdio>
#include <cmath>
#include <vector>
#include <map>
#include <stack>
#include <queue>
#include <algorithm>
#include <set>
#include <cassert>

#define FOR(i,a,b) for(int i=(a);i<(b);i++)
#define REP(i,j) FOR(i,0,j)
#define mp std::make_pair

const double EPS = 1e-8;

struct Point{
    double cross(const Point& rp) const{
        return this->x*rp.y - this->y*rp.x;
    }
    double dot(const Point& rp) const{
        return this->x*rp.x + this->y*rp.y;
    }
    double norm() const{
        double x = this->x, y = this->y;
        return x*x + y*y;
    }
    double abs() const{
        return std::sqrt(norm());
    }

    double x, y;
};

Point operator-(const Point& lhs, const Point& rhs){
    return {lhs.x-rhs.x, lhs.y-rhs.y};
}
Point operator+(const Point& lhs, const Point& rhs){
    return {lhs.x+rhs.x, lhs.y+rhs.y};
}
Point operator*(const Point& lhs, const double& val){
    return {val*lhs.x, val*lhs.y};
}
Point operator*(const double& val, const Point& rhs){
    return {val*rhs.x, val*rhs.y};
}

struct Segment{
    bool doesIntersect(const Segment& rl) const{
        Point ab = this->distination - this->source,
            ac = rl.source - this->source,
            ad = rl.distination - this->source,
            cd = rl.distination - rl.source,
            ca = this->source - rl.source,
            cb = this->distination - rl.source;
        return ab.cross(ac) * ab.cross(ad) < EPS &&
               cd.cross(ca) * cd.cross(cb) < EPS;
    }
    Point intersectPoint(const Segment& rl) const{
        if(!doesIntersect(rl)){} // ない
        
        Point ab = this->distination - this->source,
            ac = rl.source - this->source,
            bd = rl.distination - this->distination;
        double dc = std::abs(ab.cross(ac)),
            dd = std::abs(ab.cross(bd));
        
        
        return rl.source + (dc / (dc+dd)) * (rl.distination - rl.source);
    }
    Point source, distination;
};

typedef long long ll;
typedef unsigned long long ull;

const int INF = 1001001001;

// S N E W(南北東西)
const int dx[8] = {0, 0, 1, -1, 1, 1, -1, -1}, dy[8] = {1, -1, 0, 0, 1, -1, 1, -1};

Segment ss[3];

double triangleArea(Point p1, Point p2, Point p3){
    Point v1 = p2-p1, v2 = p3-p1;
    return 0.5 * std::abs(v1.cross(v2));
}

std::string solve(){
    const std::string resultText[] = {"dai-kichi", "chu-kichi", "kichi", "syo-kichi", "kyo"};
    
    if(!ss[0].doesIntersect(ss[1]) ||
       !ss[1].doesIntersect(ss[2]) ||
       !ss[2].doesIntersect(ss[0])){
        return resultText[4];
    }

    Point p1 = ss[0].intersectPoint(ss[1]),
        p2 = ss[1].intersectPoint(ss[2]),
        p3 = ss[2].intersectPoint(ss[0]);

    double area = triangleArea(p1, p2, p3);
    // printf("%.10f\n", area);
    if(area + EPS > 1900000.0){
        return resultText[0];
    }else if(area + EPS > 1000000.0){
        return resultText[1];
    }else if(area + EPS > 100000.0){
        return resultText[2];
    }else if(area > 0.0){
        return resultText[3];
    }
    return resultText[4];
}

int main(){
    while(true){
        std::cin >> ss[0].source.x >> ss[0].source.y >> ss[0].distination.x >> ss[0].distination.y;
        if(std::abs(ss[0].source.x) < EPS &&
           std::abs(ss[0].source.y) < EPS &&
           std::abs(ss[0].distination.x) < EPS &&
           std::abs(ss[0].distination.y) < EPS){
            break;
        }

        FOR(i, 1, 3){
            std::cin >> ss[i].source.x >> ss[i].source.y >> ss[i].distination.x >> ss[i].distination.y;
        }
        
        std::cout << solve() << std::endl;
    }
}

Measured memory_bytes: 1232