<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;


//constant----------------------------------------
const double EPS=1e-8;
const double INF=1e9;
const int COUNTER_CLOCKWISE=1;
const int CLOCKWISE=-1;
const int ONLINE_FRONT=2;
const int ONLINE_BACK=-2;
const int ON_SEGMENT=0;


typedef complex<double>Point;
typedef vector<Point>Polygon;
struct Line{
    Point p1,p2;
    Line(const Point &p1=Point(),const Point &p2=Point()):p1(p1),p2(p2){}
};
struct Segment{
    Point p1,p2;
    Segment(const Point &p1=Point(),const Point &p2=Point()):p1(p1),p2(p2){}
};
struct Circle{
    Point p;
    int r;
    Circle(const Point &p=Point(),int r=0.0):p(p),r(r){}
};

double Dot(Point &p1,Point &p2){
    return (conj(p1)*p2).real();
    return real(p1)*real(p2)+imag(p1)+imag(p2);
}

double Cross(Point &p1,Point &p2){
    return (conj(p1)*p2).imag();
    return real(p1)*imag(p2)-real(p2)*imag(p1);
}

int CCW(Point &p1,Point &p2,Point &p3){
    Point a=p2-p1,b=p3-p1;
    if(Cross(a,b)>EPS)return COUNTER_CLOCKWISE;
    if(Cross(a,b)<-EPS)return CLOCKWISE;
    if(Dot(a,b)<-EPS)return ONLINE_BACK;
    if(norm(b)>norm(a))return ONLINE_FRONT;
    return ON_SEGMENT;
}

signed main(){
    double x,y;
    scanf("%lf%lf",&x,&y);
    Point p1(x,y);
    scanf("%lf%lf",&x,&y);
    Point p2(x,y);

    int q;scanf("%d",&q);
    while(q--){
        scanf("%lf%lf",&x,&y);
        Point p3(x,y);
        if(CCW(p1,p2,p3)==COUNTER_CLOCKWISE)puts("COUNTER_CLOCKWISE");
        if(CCW(p1,p2,p3)==CLOCKWISE)puts("CLOCKWISE");
        if(CCW(p1,p2,p3)==ONLINE_BACK)puts("ONLINE_BACK");
        if(CCW(p1,p2,p3)==ONLINE_FRONT)puts("ONLINE_FRONT");
        if(CCW(p1,p2,p3)==ON_SEGMENT)puts("ON_SEGMENT");
    }
    return 0;
}