<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 <complex>
#include <vector>
#include <cmath>

const double EPS=1e-10;

#define equals(a, b) (fabs((a)-b(b))<EPS)
#define X real()
#define Y imag()

using namespace std;

typedef complex<double> Point;
typedef complex<double> Vector;

struct Segment {
    Point p1, p2;
};
typedef Segment Line;

struct Circle {
    Point c;
    double r;
    Circle(Point c=Point(), double r=0.0) :
        c(c),r(r){}
};

typedef vector<Point> Polygon;

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;
}

Point project(Segment s, Point p) {
    Vector base = s.p2-s.p1;
    double r=dot(p-s.p1,base) / norm(base);
    return s.p1+base*r;
}

Point reflect(Segment s, Point p) {
    return p+(project(s,p)-p)*2.0;
}

int main() {
    Point p0,p1;
    {
        double x1,y1,x2,y2;
        cin>>x1>>y1>>x2>>y2;
        p0=Point(x1,y1);
        p1=Point(x2,y2);
    }
    int q; cin>>q;
    while(q-->0) {
        double x1,y1;
        cin>>x1>>y1;
        Point p2=Point(x1,y1);
        Vector a=p1-p0;
        Vector b=p2-p0;
        if(cross(a,b)>EPS) cout<<"COUNTER_CLOCKWISE"<<endl;
        else if(cross(a,b)<-EPS) cout<<"CLOCKWISE"<<endl;
        else if(dot(a,b)<-EPS) cout<<"ONLINE_BACK"<<endl;
        else if(norm(a)<norm(b)) cout<<"ONLINE_FRONT"<<endl;
        else cout<<"ON_SEGMENT"<<endl;

    }
    return 0;
}