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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<bits/stdc++.h>
using namespace std;

struct Point{
    Point(double _x=0,double _y=0):x(_x),y(_y){}
    
    Point operator + (Point p) const {return Point(x+p.x,y+p.y);}
    Point operator - (Point p) const {return Point(x-p.x,y-p.y);}
    //Point operator * (double d) const {return Point(x*d,y*d);}
    
    double Length() const{
        return sqrt(x*x+y*y);
    }
    
    double SqrLength() const{
        return x*x+y*y;
    }
    
    void Read(){
        scanf("%lf%lf",&x,&y);
    }
    
    void Write(){
        //printf("%.10f %.10f\n",x,y);
    }
    
    double x,y;  

    friend double Dot(Point p1,Point p2){
        return p1.x*p2.x+p1.y*p2.y;
    }
    
    friend double Cross(Point p1,Point p2){
        return p1.x*p2.y-p1.y*p2.x;
    }
};

struct Line{
    Line(){}
    Point s,t;
    
    /*friend Point Project(Point p,Line l){
        Point dir=l.t-l.s;
        return l.s+dir*(Dot(dir,p-l.s)/dir.SqrLength());
    }
    
    friend Point Reflect(Point p,Line l){
        Point q=Project(p,l);
        Point ret=q*2-p;
        return ret;
    }*/
};

int main(){
    Point p0,p1;
    p0.Read(); p1.Read();
    int n; scanf("%d",&n);
    while(n--){
        Point p2;
        p2.Read();
        int a=Cross(p1-p0,p2-p0);
        if (Cross(p1-p0,p2-p0)>0) puts("COUNTER_CLOCKWISE");
        else if (Cross(p1-p0,p2-p0)<0) puts("CLOCKWISE");
        //else if (Cross(p1-p0,p2-p0)==0){
        else if (Dot(p1-p0,p2-p0)<0) puts("ONLINE_BACK");
        else if ((p1-p0).Length()-(p2-p0).Length()<0) puts("ONLINE_FRONT");
        else puts("ON_SEGMENT");
                    
    }
    return 0;
}
