<image>

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<iostream>
using namespace std;
#include<cstdio>
#include<cmath>

struct Point{ double x, y; };

Point set_p(double a, double b)
{
    Point p;
    p.x = a; p.y = b;
    return p;
}

struct Vector{ double vx, vy; };

Vector set_v(const Point &p1, const Point &p2)
{
    Vector v;
    v.vx = p2.x - p1.x;
    v.vy = p2.y - p1.y;
    return v;
}

double inpro(const Vector &v1, const Vector &v2)
{
    return (v1.vx * v2.vx) + (v1.vy * v2.vy);
}

double det2(const Vector &v1, const Vector &v2)
{
	return (v1.vx * v2.vy) - (v1.vy * v2.vx);
}

int main()
{
	double p0x, p0y, p1x, p1y;
	scanf("%lf %lf %lf %lf", &p0x, &p0y, &p1x, &p1y);
	Point P0 = set_p(p0x, p0y);
	Point P1 = set_p(p1x, p1y);
	Vector V1 = set_v(P0, P1);

	double p2x, p2y, d;

	int q;
	scanf("%d", &q);
	for(int i = 0; i < q; i++){
		scanf("%lf %lf", &p2x, &p2y);
		Point P2 = set_p(p2x, p2y);
		Vector V2 = set_v(P0, P2);
		Vector V = set_v(P1, P2);
		d = det2(V1, V2);
		if(d > 0){ printf("COUNTER_CLOCKWISE\n"); }
			else if(d < 0){ printf("CLOCKWISE\n"); }
			else{
			    if(inpro(V1, V2) < 0){ printf("ONLINE_BACK\n"); }
			    else if(inpro(V1, V) > 0){ printf("ONLINE_FRONT\n"); }
			    else{ printf("ON_SEGMENT\n"); }
			}
	}
	return 0;
}