<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 <bits/stdc++.h>

using namespace std;
const float EPS=1e-9;
int q;
struct point
{
    double x,y;
};
point vt(point a,point b)
{
    point vt;
    vt.x=b.x-a.x;
    vt.y=b.y-a.y;
    return vt;
}
double tichcheo(point a,point b)
{
    return a.x*b.y-b.x*a.y;
}
double scalar(point a,point b)
{
    return (b.x-a.x)*(b.x-a.x)+(b.y-a.y)*(b.y-a.y);
}
double tichcham(point a,point b)
{
    return a.x*b.x+a.y*b.y;
}
int main()
{
    point p1,p0;
    cin>>p0.x>>p0.y>>p1.x>>p1.y;
    cin>>q;
    while (q--)
    {
        point p2;
        cin>>p2.x>>p2.y;
        point p01=vt(p0,p1);
        point p02=vt(p0,p2);
        if (tichcheo(p01,p02)>0) cout<<"COUNTER_CLOCKWISE"<<endl;
        else if (tichcheo(p01,p02)<0) cout<<"CLOCKWISE"<<endl;
        else
        {
            double sc01=scalar(p0,p1);
            double sc02=scalar(p0,p2);
            if (((p2.x==p0.x)&&(p2.y==p0.y))||((p2.x==p1.x)&&(p2.y==p1.y))) cout<<"ON_SEGMENT"<<endl;
            else
            if (fabs(tichcham(p01,p02)+sqrt(sc01*sc02))<EPS) cout<<"ONLINE_BACK"<<endl;
            else
            {
                if (sc01<sc02) cout<<"ONLINE_FRONT"<<endl;
                else cout<<"ON_SEGMENT"<<endl;
            }
        }
    }
    return 0;
}

