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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>

#define NIL -2
#define INF 1000000001
#define EPS 1e-10
#define equals(a,b) (fabs((a) - (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 k){ return Point(x*k,y*k);     }
    Point operator / (double k){ return Point(x/k,y/k);     }

    double norm(){ return x*x + y*y;}
    double abs(){ return sqrt(norm());}
    double dot(Point p){
        return x*p.x + y*p.y;
    }
    double prod(Point p){
        return x*p.y - y*p.x;
    }

    bool operator < (Point &p){
        return x != p.x ? x < p.x : y < p.y;
    }
    bool operator == (Point &p){
        return fabs(x-p.x) < EPS && fabs(y-p.y) < EPS;
    }
  
};
typedef Point Vector;

int main(){
    double p0x,p0y,p1x,p1y;
    double p2x,p2y;
    int q;
    scanf("%lf %lf %lf %lf",&p0x,&p0y,&p1x,&p1y);
    Vector p10(p1x-p0x,p1y-p0y);
    
    scanf("%d",&q);
    for(int i = 0;i < q;i++){
        scanf("%lf %lf",&p2x,&p2y);
        Vector p20(p2x-p0x,p2y-p0y);
        double prod = p10.prod(p20);
        if( prod > 0) printf("COUNTER_CLOCKWISE\n");
        else if(prod < 0) printf("CLOCKWISE\n");
        else {
            if(p10.dot(p20) < 0) printf("ONLINE_BACK\n");
            else{
                if(p10.abs() < p20.abs()) printf("ONLINE_FRONT\n");
                else printf("ON_SEGMENT\n"); 
            }
        }
    }
    return 0;
}
