#include <cstdio>

#include <cstring>

#include <cmath>

#include <string>

#include <iostream>

#include <algorithm>

#include <queue>

#include <set>

#include <map>

using namespace std;

typedef long long ll;

#define pii pair<int, int>

#define mkpii make_pair<int, int>

#define pdi pair<double, int>

#define mkpdi make_pair<double, int>

#define pli pair<ll, int>

#define mkpli make_pair<ll, int>

#define rep(i, n) for(int i=0; i<(n); ++i)

#define for1(i,a,n) for(int i=(a);i<=(n);++i)

#define for2(i,a,n) for(int i=(a);i<(n);++i)

#define for3(i,a,n) for(int i=(a);i>=(n);--i)

#define for4(i,a,n) for(int i=(a);i>(n);--i)

#define CC(i,a) memset(i,a,sizeof(i))

#define read(a) a=getint()

#define print(a) printf("%d", a)

#define dbg(x) cout << (#x) << " = " << (x) << endl

#define error(x) (!(x)?puts("error"):0)

#define printarr2(a, b, c) for1(_, 1, b) { for1(__, 1, c) cout << a[_][__]; cout << endl; }

#define printarr1(a, b) for1(_, 1, b) cout << a[_] << '\t'; cout << endl

inline const int getint() { int r=0, k=1; char c=getchar(); for(; c<'0'||c>'9'; c=getchar()) if(c=='-') k=-1; for(; c>='0'&&c<='9'; c=getchar()) r=r*10+c-'0'; return k*r; }

inline const int max(const int &a, const int &b) { return a>b?a:b; }

inline const int min(const int &a, const int &b) { return a<b?a:b; }



const double eps=1e-6;

struct Pt { double x, y; Pt(double _x=0, double _y=0) : x(_x), y(_y) {} };

int dcmp(double a) { if(abs(a)<eps) return 0; return a<0?-1:1; }

typedef Pt Vt;

Vt operator+ (const Pt &a, const Pt &b) { return Vt(a.x+b.x, a.y+b.y); }

Vt operator- (const Pt &a, const Pt &b) { return Vt(a.x-b.x, a.y-b.y); }

Vt operator* (const Pt &a, const double &b) { return Vt(a.x*b, a.y*b); }

bool operator== (const Pt &a, const Pt &b) { return dcmp(a.x-b.x)==0 && dcmp(a.y-b.y)==0; }

double Cross(Vt a, Vt b) { return a.x*b.y-b.x*a.y; }



struct Line {

	Pt p; Vt v;

	Line() {}

	Line(Pt &a, Pt &b) { p=a; v=b-a; }

};



Pt getLLP(Line &a, Line &b) {

	static Pt p, q;

	static Vt u, w, v;

	p=a.p; q=b.p;

	v=a.v; w=b.v;

	u=p-q;

	double t1=Cross(w, u)/Cross(v, w);

	return p+v*t1;

}

// -1:xiangjiao 0:chonghe 1:pingxing

int LineAndLine(Line &p, Line &q) {

	if(dcmp(Cross(p.v, q.v))!=0) return -1;

	return dcmp(Cross(q.p-p.p, q.v))==0 && dcmp(Cross(q.p-p.p, p.v))==0;

}

int main() {

	int n;

	while(~scanf("%d", &n)) {

		puts("INTERSECTING LINES OUTPUT");

		Line l[2]; Pt p[4];

		while(n--) {

			rep(k, 4) scanf("%lf%lf", &p[k].x, &p[k].y);

			l[0]=Line(p[0], p[1]);

			l[1]=Line(p[2], p[3]);

			int c=LineAndLine(l[0], l[1]);

			if(c==-1) { Pt pt=getLLP(l[0], l[1]); printf("POINT %.2f %.2f\n", pt.x, pt.y); }

			else if(c==0) puts("NONE");

			else puts("LINE");

		}

		puts("END OF OUTPUT");

	}

	return 0;

}