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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
//By Vlgd
#include<bits/stdc++.h>
#define EPS (1e-10)
#define equals(a,b) (fabs((a)-(b))<EPS)
using namespace std;
class Point{
	public:
	double x,y;
	Point(double x=0,double y=0):x(x),y(y){}
	Point operator + (Point p){return Point(x+p.x,y+p.y);}
	Point operator - (Point p){return Point(x-p.x,y-p.y);}
	Point operator * (double a){return Point(a*x,a*y);}
	Point operator / (double a){return Point(x/a,y/a);}
	double abs() {return sqrt(norm());}
	double norm() {return x*x+y*y;}
	bool operator < (const Point &p) const{
		return x!=p.x?x<p.x:y<p.y;
	}
	bool operator == (const Point &p) const{
		return fabs(x-p.x)<EPS && fabs(y-p.y)<EPS;
	}
};
typedef Point Vector;
double dot(Vector a,Vector b){
	return a.x*b.x+a.y*b.y;
}
double cross(Vector a,Vector b){
	return a.x*b.y-a.y*b.x;
}
int ccw(Point p0,Point p1,Point p2){
	Vector a=p1-p0,b=p2-p0;
	if(cross(a,b)>EPS) return 0;
	if(cross(a,b)<-EPS) return 1;
	if(dot(a,b)<-EPS) return 2;
	if(a.abs()<b.abs()) return 3;
	if(a.abs()>=b.abs()) return 4;
}
int main(){
	int x1,y1,x2,y2,q;
	scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
	Point p0(x1,y1),p1(x2,y2);
	scanf("%d",&q);
	for(int i=0;i<q;i++){
		scanf("%d%d",&x1,&y1);
		Point p2(x1,y1);
		int ans=ccw(p0,p1,p2);
		if(ans==0) printf("COUNTER_CLOCKWISE");
		if(ans==1) printf("CLOCKWISE");
		if(ans==2) printf("ONLINE_BACK");
		if(ans==3) printf("ONLINE_FRONT");
		if(ans==4) printf("ON_SEGMENT");
		printf("\n");
	}
}
