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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 <iostream>
#include <cstdio>
#include <cstring>
#include <cmath>

#define EPS (1e-10)
#define equals(a,b) (fabs(a)-fabs(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 fabs(x-p.x)<EPS && fabs(y-p.y)<EPS;
    }
};

typedef Point Vector;
///内积
double dot(Vector a,Vector b){
    return a.x*b.x+a.y*b.y;
}
///外积
double cross(Vector a,Vector b){
    return a.x*b.y-a.y*b.x;
}

int cow(Point p0,Point p1,Point p2){
    Vector a=p1-p0;
    Vector b=p2-p0;
    if(cross(a,b)>EPS)  {printf("COUNTER_CLOCKWISE\n"); return 1;}
    if(cross(a,b)<-EPS) {printf("CLOCKWISE\n"); return -1;}
    if(dot(a,b)<-EPS)   {printf("ONLINE_BACK\n"); return 2;}
    if(a.norm()<b.norm())  { printf("ONLINE_FRONT\n");return -2;}

    printf("ON_SEGMENT\n");
    return 0;
}

int main()
{
    Point p0,p1,p2;
    scanf("%lf%lf%lf%lf",&p0.x,&p0.y,&p1.x,&p1.y);
    int q;
    scanf("%d",&q);
    for(int i=0;i<q;i++){
        scanf("%lf%lf",&p2.x,&p2.y);
        cow(p0,p1,p2);
    }
    return 0;
}
