#include<cstdio>
#include<cmath>

using namespace std;

const double eps=1e-8;

inline bool equal(double x,double y){return abs(x-y)<eps;}
inline bool zero(double x){return abs(x)<eps;}

struct point{
	double x,y;
	point(){}
	point(double x,double y):x(x),y(y){}
	bool operator==(point q){return equal(x,q.x)&&equal(y,q.y);}
};
typedef point vector;

inline vector operator-(vector a){return vector(-a.x,-a.y);}
inline vector operator+(vector a,vector b){return vector(a.x+b.x,a.y+b.y);}
inline vector operator-(vector a,vector b){return vector(a.x-b.x,a.y-b.y);}
inline vector operator*(vector a,double b){return vector(a.x*b,a.y*b);}
inline vector operator/(vector a,double b){return vector(a.x/b,a.y/b);}
double operator*(vector a,vector b){return a.x*b.y-b.x*a.y;}//cross product
double operator^(vector a,vector b){return a.x*b.x+a.y*b.y;}//dot product

point intersection(point p,vector v,point q,vector w){
	vector u=p-q;
	return p+v*((w*u)/(v*w));
}

int main(){
	point a,b,c,d;
	int n;
	scanf("%d",&n);
	printf("INTERSECTING LINES OUTPUT\n");
	while(n--){
		scanf("%lf%lf%lf%lf%lf%lf%lf%lf",&a.x,&a.y,&b.x,&b.y,&c.x,&c.y,&d.x,&d.y);
		vector v=b-a,w=d-c;
		if(zero(v*w)){
			if(zero(v*(c-b))) printf("LINE\n");
			else printf("NONE\n");
		}else{
			point inter=intersection(a,v,c,w);
			printf("POINT %.2lf %.2lf\n",inter.x,inter.y);
		}
	}
	printf("END OF OUTPUT\n");
	return 0;
}