#include<bits/stdc++.h>
using namespace std;

typedef complex<double>Point;

struct Segment{
    Point p1,p2;
    Segment(const Point &p1=Point(),const Point &p2=Point()):p1(p1),p2(p2){}
};

struct Circle{
    Point p;
    double r;
    Circle(const Point &p=Point(),double r=0.0):p(p),r(r){}
};

typedef Point Vector;
typedef Segment Line;
typedef vector<Point>Polygon;

const double PI=acos(-1);
const double EPS=1e-12;
const double INF=1e16;
const int COUNTER_CLOCKWISE=1;
const int CLOCKWISE=-1;
const int ONLINE_BACK=2;
const int ONLINE_FRONT=-2;
const int ON_SEGMENT=0;

inline double square(double a){return a*a;}
inline double norm(const Point &a){return square(a.real())+square(a.imag());}
inline double dot(const Point &a,const Point &b){return (conj(a)*b).real();}
inline double cross(const Point &a,const Point &b){return (conj(a)*b).imag();}
inline double toDeg(double t){return t/PI*180.0;}
inline double toRad(double t){return t/180.0*t;}
inline double arg(Vector p){return atan2(imag(p),real(p));}
inline Vector polar(double a,double r){return Vector(cos(r),sin(r))*a;}
#define equals(a,b) (fabs((a)-(b))<EPS)
#define equalsv(a,b) (equals(real(a),real(b))&&equals(imag(a),imag(b)))
#define curr(P,i) P[(i)%P.size()]
#define next(P,i) P[(i+1)%P.size()]
#define prev(P,i) P[(i-1+P.size())%P.size()]

bool cmpx(Point &a,Point &b){
    return !equals(real(a),real(b))?real(a)<real(b):imag(a)<imag(b);
}

void getPoint(Point &p){
    double x,y;
    scanf("%lf%lf",&x,&y);
    p=Point(x,y);
}

void getSegment(Segment &s){
    getPoint(s.p1);
    getPoint(s.p2);
}

void getLine(Line &l){
    getSegment(l);
}

void getCircle(Circle &c){
    getPoint(c.p);
    scanf("%lf",&c.r);
}


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 isOrthogonal(s1.p1-s1.p2,s2.p1-s2.p2);
}

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 isParallel(s1.p1-s1.p2,s2.p1-s2.p2);
}

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;
}

Point reflection(Segment s,Point p){
    return p+(project(s,p)-p)*2.0;
}

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(norm(a)<norm(b))return ONLINE_FRONT;
    return ON_SEGMENT;
}

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

Point getCrossPointSS(Segment s1,Segment s2){
    double crs=cross(s1.p2-s1.p1,s2.p2-s2.p1);
    return s2.p1+(s2.p2-s2.p1)*cross(s1.p2-s1.p1,s1.p2-s2.p1)*(1.0/crs);

    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;
}

double getDistancePP(Point a,Point b){
    return abs(a-b);
}

double getDistanceLP(Line l,Point p){
    return fabs(cross(l.p2-l.p1,p-l.p1)/abs(l.p2-l.p1));
}

double getDistanceLL(Line l,Line m){
    if(isParallel(l,m))return getDistanceLP(l,m.p1);
    return 0.0;
}

double getDistanceSP(Segment s,Point p){
    if(dot(s.p2-s.p1,p-s.p1)<0.0)return abs(p-s.p1);
    if(dot(s.p1-s.p2,p-s.p2)<0.0)return abs(p-s.p2);
    return getDistanceLP(s,p);
}

double getDistanceSS(Segment s1,Segment s2){
    if(isIntersectSS(s1,s2))return 0;
    return min(min(getDistanceSP(s1,s2.p1),getDistanceSP(s1,s2.p2)),
               min(getDistanceSP(s2,s1.p1),getDistanceSP(s2,s1.p2)));
}

double area(Polygon g){
    const int sz=g.size();
    double res=cross(g[sz-1],g[0]);
    for(int i=1;i<sz;i++)res+=cross(g[i-1],g[i]);
    
    return fabs(res)*0.5;
}

bool isConvex(Polygon g){
    for(int i=0;i<g.size();i++){
        if(ccw(prev(g,i),curr(g,i),next(g,i))==CLOCKWISE)return false;
    }
    return true;
}

bool isIntersectCL(Circle c,Line l){
    return getDistanceLP(l,c.p)<=c.r+EPS;
}

bool isIntersectCC(Circle c1,Circle c2){
    return abs(c1.p-c2.p)<=c1.r+c2.r+EPS;
}

pair<Point,Point>getCrossPointsCL(Circle c,Line l){
    assert(isIntersectCL(c,l));

    Vector pr=project(l,c.p);
    Vector e=(l.p2-l.p1)/abs(l.p2-l.p1);
    double base=sqrt(square(c.r)-norm(pr-c.p));
    return make_pair(pr+e*base,pr-e*base);
}

pair<Point,Point>getCrossPointsCC(Circle c1,Circle c2){
    assert(isIntersectCC(c1,c2));
    double d=abs(c1.p-c2.p);
    double a=acos((square(c1.r)+square(d)-square(c2.r))/(2*c1.r*d));
    double t=arg(c2.p-c1.p);

    return make_pair(c1.p+polar(c1.r,t+a),c1.p+polar(c1.r,t-a));
}

int main(){
    Segment a,b,c;
    while(true){
        getSegment(a);
        if(a.p1.real()==0&&a.p1.imag()==0&&a.p2.real()==0&&a.p2.imag()==0)break;
        getSegment(b);
        getSegment(c);

        if(!isIntersectSS(a,b)||!isIntersectSS(b,c)||!isIntersectSS(c,a)){
            puts("kyo");
            continue;
        }

        Polygon g;
        g.push_back(getCrossPointSS(a,b));
        g.push_back(getCrossPointSS(b,c));
        g.push_back(getCrossPointSS(c,a));

        double s=area(g);
        string res;
        if (s - 1900000 > -EPS) res = "dai-kichi";
        else if (s - 1000000 > -EPS) res = "chu-kichi";
        else if (s - 100000 > -EPS) res = "kichi";
        else if (s > 0) res = "syo-kichi";
        else res = "kyo";
        cout << res << endl;

    }
    return 0;
}

Measured memory_bytes: 1252