<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<math.h>
#include<string>
#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(x * a, y * a);}
    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 equals(x, p.x) && equals(y, p.y);
    }
};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;
}

string ccw(Point p0, Point p1, Point p2){
    Vector a = p1 - p0, b = p2 - p0;
    if (cross(a, b) > EPS) return "COUNTER_CLOCKWISE";
    if (cross(a, b) < -EPS) return "CLOCKWISE";
    if (dot(a, b) < -EPS) return "ONLINE_BACK";
    if (a.norm() < b.norm()) return "ONLINE_FRONT";
    return "ON_SEGMENT";
}
#include<iostream>
int main(){
    int x0, y0, x1, y1, x2, y2, q;
    cin >> x0 >> y0 >> x1 >> y1 >> q;
    Point p0 = Point(x0, y0), p1 = Point(x1, y1);
    for (int i = 0; i < q; i++)
    {
        cin >> x2 >> y2;
        Point p2 = Point(x2, y2);
        cout << ccw(p0, p1, p2) << endl;
    }
    
}
