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

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

double onenorm(const Vector &v)
{
	return abs(v.vx) + abs(v.vy);
}

int ccw(const Point &P0, const Point &P1, const Point &P2)
{
	Vector V1 = set_v(P0, P1);
	Vector V2 = set_v(P0, P2);
	double c = cross(V1, V2);
	if(c > 0){ return 1; }else if(c < 0){ return -1; }
	if(dot(V1, V2) < 0){ return -2; }
	if(onenorm(V1) < onenorm(V2)){ return 2; }
	return 0;
}

int main()
{
    double x0, x1, y0, y1;
    scanf("%lf %lf %lf %lf", &x0, &y0, &x1, &y1);
    Point P0 = set_p(x0, y0);
    Point P1 = set_p(x1, y1);
	int val;

    double x2, y2;
    int q;
    scanf("%d", &q);
    for(int i = 0; i < q; i++){
        scanf("%lf %lf", &x2, &y2);
        Point P2 = set_p(x2, y2);
        val = ccw(P0, P1, P2);
        switch(val){
            case 1:
                printf("COUNTER_CLOCKWISE\n");
                break;
            case -1:
                printf("CLOCKWISE\n");
                break;
            case -2:
                printf("ONLINE_BACK\n");
                break;
            case 2:
                printf("ONLINE_FRONT\n");
                break;
            default:
                printf("ON_SEGMENT\n");
        }
    }
    return 0;
}