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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;

#define eps (1e-10)
struct point{
    double x,y;
    point(){}
    point(double x,double y):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());}

    bool operator < (const point &p){
        return x!=p.x?x<p.x:y<p.y;
    }
    bool operator == (const point &p){
        return fabs(x-p.x)<eps&&fabs(y-p.y)<eps;
    }
};
//内积
double dot(point a,point b)
{
    return a.x*b.x+a.y*b.y;
}
//外积
double cross(point a,point b){
    return a.x*b.y-a.y*b.x;
}

const int counter_clockwise=1;
const int clockwise=-1;
const int online_back=2;
const int online_front=-2;
const int on_segment=0;

string ccw(point a,point b,point c)
{
    point temp1=b-a;
    point temp2=c-a;
    if(cross(temp1,temp2)>eps){return "COUNTER_CLOCKWISE";}
    if(cross(temp1,temp2)<-eps){return "CLOCKWISE";}
    if(dot(temp1,temp2)<-eps){return "ONLINE_BACK";}
    if(temp1.norm()<temp2.norm()){return "ONLINE_FRONT";}
    return "ON_SEGMENT";
}

int main()
{
    point a,b;
    cin>>a.x>>a.y>>b.x>>b.y;
    int q;
    cin>>q;
    point temp;
    for(int i=0;i<q;i++){
        cin>>temp.x>>temp.y;
        string res=ccw(a,b,temp);
        cout<<res<<endl;
    }
    return 0;
}

