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For given three points p0, p1, p2, print


COUNTER_CLOCKWISE


if p0, p1, p2 make a counterclockwise turn (1),


CLOCKWISE


if p0, p1, p2 make a clockwise turn (2),


ONLINE_BACK


if p2 is on a line p2, p0, p1 in this order (3),


ONLINE_FRONT


if p2 is on a line p0, p1, p2 in this order (4),


ON_SEGMENT


if p2 is on a segment p0p1 (5).

Constraints

* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p0 and p1 are not identical.

Input


xp0 yp0 xp1 yp1
q
xp20 yp20
xp21 yp21
...
xp2q-1 yp2q-1


In the first line, integer coordinates of p0 and p1 are given. Then, q queries are given for integer coordinates of p2.

Output

For each query, print the above mentioned status.

Examples

Input

0 0 2 0
2
-1 1
-1 -1


Output

COUNTER_CLOCKWISE
CLOCKWISE


Input

0 0 2 0
3
-1 0
0 0
3 0


Output

ONLINE_BACK
ON_SEGMENT
ONLINE_FRONT
#include<bits/stdc++.h>
using namespace std;
#define EPS (1e-10)
#define equal(x,y)  (fabs(x-y)<EPS)
enum Status{
	COUNTER_CLOCKWISE,CLOCKWISE,ONLINE_BACK,ONLINE_FRONT,ON_SEGMENT
};
struct Point{
	double x,y;
	Point(double _x,double _y): x(_x),y(_y){ }
	Point operator+(const Point & p){
		return Point(x+p.x,y+p.y);
	}
	Point operator-(const Point & p){
		return Point(x-p.x,y-p.y);
	}
	Point operator*(double k){
		return Point(k*x,k*y);
	}
};
typedef Point Vector;
double dot(const Vector &v1,const Vector & v2 ){
	return v1.x*v2.x+v1.y*v2.y;
}
double cross(const Vector &v1,const Vector & v2){
	return v1.x*v2.y-v1.y*v2.x;
}
double norm(const Vector & v){
	return dot(v,v);
}
double abs(const Vector & v){
	return sqrt(norm(v));
}
int ccw( Point &p1, Point & p2,  Point & p3){
	Vector v1=p2-p1,v2=p3-p1;
	if(cross(v1,v2)<-EPS) return CLOCKWISE;
	if(cross(v1,v2)>EPS) return COUNTER_CLOCKWISE;
	if(dot(v1,v2)<-EPS) return ONLINE_BACK;
	if(norm(v1)<norm(v2)) return ONLINE_FRONT;
	return ON_SEGMENT;
}
int main(){
	double x1,x2,y1,y2;
	int q;
	cin>>x1>>y1>>x2>>y2;
	cin>>q;
	Point p1(x1,y1),p2(x2,y2);
	for(int i=0;i<q;i++){
		cin>>x1>>y1;
		Point p3(x1,y1);
		switch(ccw(p1,p2,p3)){
			case COUNTER_CLOCKWISE:cout<<"COUNTER_CLOCKWISE"<<endl;break;
			case CLOCKWISE:cout<<"CLOCKWISE"<<endl;break;
			case ONLINE_FRONT:cout<<"ONLINE_FRONT"<<endl;break;
			case ONLINE_BACK:cout<<"ONLINE_BACK"<<endl;break;
			case ON_SEGMENT:cout<<"ON_SEGMENT"<<endl;break;
		}
	}
	return 0;
}
