<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>
#include <iomanip>
#include <cmath>

using namespace std;

const double EPS = 1e-8;

int dcmp(double d) {
    if (fabs(d) < EPS) {
        return 0;
    }
    return d > 0? 1 : -1;
}

struct Vector {
    double x, y;
    Vector(double x, double y): x(x), y(y) {
    }
};

typedef Vector Point;

double dot(const Vector& a, const Vector& b) {
    return a.x * b.x + a.y * b.y;
}

double cross(const Vector& a, const Vector& b) {
    return a.x * b.y - a.y * b.x;
}

Vector operator-(const Point& a, const Point& b) {
    return Vector(a.x - b.x, a.y - b.y);
}

int main() {
    double x0, y0, x1, y1;
    cin >> x0 >> y0 >> x1 >> y1;
    Point p0(x0, y0);
    Point p1(x1, y1);
    
    int q;
    cin >> q;
    for (int i = 0; i < q; i++) {
        double x2, y2;
        cin >> x2 >> y2;
        Point p2(x2, y2);
        
        Vector v01 = p1 - p0;
        Vector v02 = p2 - p0;
        
        double d = dot(v01, v02);
        double c = cross(v01, v02);
        
        double norm1 = dot(v01, v01);
        double norm2 = dot(v02, v02);
        
        if (dcmp(c) > 0) {
            cout << "COUNTER_CLOCKWISE" << endl; 
        }
        else if (dcmp(c) < 0) {
            cout << "CLOCKWISE" << endl;
        }
        else if (dcmp(c) == 0 && dcmp(d) < 0 ) {
            cout << "ONLINE_BACK" << endl;
        }
        else if (dcmp(c) == 0 && dcmp(d) > 0 && dcmp(norm2 - norm1) > 0) {
            cout << "ONLINE_FRONT" << endl;
        }
        else {
            cout << "ON_SEGMENT" << endl;
        }
        
    }
    
    
    return 0;
}