<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 <cmath>
#include <iomanip>

using namespace std;

typedef struct point{
    double x,y;
}Point,Vector;

typedef struct line{
    Point x;
    Vector k;
}Line;

//点积
double dot(Vector x,Vector y){
    return x.x*y.x+x.y*y.y;
}

//叉积
double cross(Vector x,Vector y){
    return x.x*y.y-x.y*y.x;
}

double getlen(Vector x){
    return sqrt(dot(x,x));
}

Vector getV(Point x,Point y){
    Vector v;
    v.x=y.x-x.x;
    v.y=y.y-x.y;
    return v;
}
//点在直线的投影
Point Projection(Line x,Point y){
    Point answ;
    answ = x.x;

    double len = dot(x.k,getV(x.x,y));
    len/=sqrt(x.k.x*x.k.x+x.k.y*x.k.y);
    Vector temp  = x.k;
    temp.x /=sqrt(x.k.x*x.k.x+x.k.y*x.k.y);
    temp.y/=sqrt(x.k.x*x.k.x+x.k.y*x.k.y);
    answ.x+=temp.x*len;
    answ.y+=temp.y*len;
    return answ;
}
//点与直线的对称点
Point Reflection(Line x,Point y){
    Point half = Projection(x,y);
    Point answ;
    answ.x=y.x+2*(half.x-y.x);
    answ.y=y.y+2*(half.y-y.y);
    return answ;
}

int main(){
    Point p0,p1;
    cin>>p0.x>>p0.y>>p1.x>>p1.y;
    Vector v1=getV(p0,p1);
    int t;
    cin>>t;
    Vector v2;
    while(t--){
        cin>>p1.x>>p1.y;
        v2=getV(p0,p1);
        double temp = cross(v1,v2);
        if(temp==0){
            if(dot(v1,v2)<0){
                cout<<"ONLINE_BACK"<<endl;
            }
            else if(getlen(v1)>=getlen(v2)){
                cout<<"ON_SEGMENT"<<endl;
            }
            else cout<<"ONLINE_FRONT"<<endl;
        }
        else if(temp<0){
            cout<<"CLOCKWISE"<<endl;
        }
        else cout<<"COUNTER_CLOCKWISE"<<endl;
    }
    return 0;
}
