// 直线相交 POJ 1269

 // #include <bits/stdc++.h>

 #include <iostream>

 #include <cstdio>

 #include <cstdlib>

 #include <algorithm>

 #include <math.h>

 using namespace std;

 #define LL long long

 typedef pair<int,int> pii;

 const double inf = 123456789012345.0;

 const LL MOD =100000000LL;

 const int N =1e4+;

 #define clc(a,b) memset(a,b,sizeof(a))

 const double eps = 1e-;

 void fre() {freopen("in.txt","r",stdin);}

 void freout() {freopen("out.txt","w",stdout);}

 inline int read() {int x=,f=;char ch=getchar();while(ch>''||ch<'') {if(ch=='-') f=-; ch=getchar();}while(ch>=''&&ch<='') {x=x*+ch-'';ch=getchar();}return x*f;}

 int sgn(double x){

     if(fabs(x) < eps)return ;

     if(x < )return -;

     else return ;

 }

 struct Point{

     double x,y;

     Point(){}

     Point(double _x,double _y){

         x = _x;y = _y;

     }

     Point operator -(const Point &b)const{

         return Point(x - b.x,y - b.y);

     }

     double operator ^(const Point &b)const{

         return x*b.y - y*b.x;

     }

     double operator *(const Point &b)const{

         return x*b.x + y*b.y;

     }

 };

 struct Line{

     Point s,e;

     Line(){}

     Line(Point _s,Point _e){

         s=_s;e=_e;

     }

     pair<int,Point> operator & (const Line &b) const{

         Point res=s;

         if(sgn((s-e)^(b.s-b.e))==){

             if(sgn((s-b.e)^(b.s-b.e))==)

                 return make_pair(,res);

             else  return make_pair(,res);

         }

         double t=((s-b.s)^(b.s-b.e))/((s-e)^(b.s-b.e));

         res.x+=(e.x-s.x)*t;

         res.y+=(e.y-s.y)*t;

         return make_pair(,res);

     }

 };

 int main(){

     int T;

     scanf("%d",&T);

     double x1,x2,x3,x4,y1,y2,y3,y4;

     printf("INTERSECTING LINES OUTPUT\n");

     while(T--){

         scanf("%lf%lf%lf%lf%lf%lf%lf%lf",&x1,&y1,&x2,&y2,&x3,&y3,&x4,&y4);

         Line line1 = Line(Point(x1,y1),Point(x2,y2));

         Line line2 = Line(Point(x3,y3),Point(x4,y4));

         pair<int,Point> ans=line1 & line2;

         if(ans.first==) printf("LINE\n");

         else if(ans.first==) printf("NONE\n");

         else printf("POINT %.2f %.2f\n",ans.second.x,ans.second.y);

     }

     printf("END OF OUTPUT\n");

     return ;

 }