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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
// CGL_1_C
#include <iostream>
#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#define N    0.00001
using namespace std;

struct vec{
	double x;
	double y;
};

struct point{
	double x;
	double y;
};

double norm(struct vec a){
	return sqrt(pow(a.x, 2) + pow(a.y, 2));
}

double inner_p(struct vec a, struct vec b){
	return (a.x*b.x + a.y*b.y);
}

double cross_p(struct vec a, struct vec b){
	return (a.x*b.y - a.y*b.x);
}

int main(){
	point p[3];
	vec v[2];
	int q, flag;

	cin>>p[0].x>>p[0].y>>p[1].x>>p[1].y;
	v[0].x = p[1].x - p[0].x;
	v[0].y = p[1].y - p[0].y;

	cin>>q;
	for(int i=0;i<q;i++){
		cin>>p[2].x>>p[2].y;

		v[1].x = p[2].x - p[0].x;
		v[1].y = p[2].y - p[0].y;
		
		flag = 0;
		if(fabs(cross_p(v[0], v[1])) < N)
			if(inner_p(v[0], v[1]) < 0)
				flag = 3;
			else if(norm(v[0]) < norm(v[1]))
				flag = 4;
			else
				flag = 5;
		else if(cross_p(v[0], v[1]) > 0)
			flag = 1; 
		else
			flag =  2;

		switch(flag){
		case 1:
			cout<<"COUNTER_CLOCKWISE"<<endl;
			break;
		case 2:
			cout<<"CLOCKWISE"<<endl;
			break;
		case 3:
			cout<<"ONLINE_BACK"<<endl;
			break;
		case 4:
			cout<<"ONLINE_FRONT"<<endl;
			break;
		case 5:
			cout<<"ON_SEGMENT"<<endl;
			break;
		default:
			cout<<"ERROR"<<endl;
		}
	}
	
	return 0;
}