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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<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
#include<algorithm>
#include<queue>
#include<iostream>
#include<set>
#include<map>
#define re register
#define ll long long
using namespace std;
inline int gi(){
	int f=1,sum=0;char ch=getchar();
	while(ch>'9'|| ch<'0'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0' && ch<='9'){sum=(sum<<3)+(sum<<1)+ch-'0';ch=getchar();}
	return sum*f;
}
const double eps=1e-10,Pi=acos(-1.0);
struct node{
	double x,y;
	node operator+(node b){return (node){x+b.x,y+b.y};}
	node operator-(node b){return (node){x-b.x,y-b.y};}
	node operator*(double b){return (node){x*b,y*b};}
	double len(){return sqrt(x*x+y*y);}
};
double cross(node a,node b){return a.x*b.y-a.y*b.x;}
double dot(node a,node b){return a.x*b.x+a.y*b.y;}
node projection(node p1,node p2,node p){node v=p2-p1;return p1+v*(dot(v,p-p1)/dot(v,v));}
node reflection(node p1,node p2,node p){node P=projection(p1,p2,p);P=P*2-p;return P;}
void Counter_Clockwise(node p1,node p2,node p){
	if(cross(p2-p1,p-p1)>eps){puts("COUNTER_CLOCKWISE");return;}
	if(cross(p2-p1,p-p1)<-eps){puts("CLOCKWISE");return;}
	if(dot(p2-p1,p-p1)<-eps){puts("ONLINE_BACK");return;}
	if(dot(p2-p1,p2-p1)>=dot(p-p1,p2-p1)){puts("ON_SEGMENT");return;}
	puts("ONLINE_FRONT");
}
int main(){
	node p1,p2,p;
	p1.x=gi();p1.y=gi();p2.x=gi();p2.y=gi();
	int Q=gi();
	while(Q--){
		p.x=gi();p.y=gi();
		Counter_Clockwise(p1,p2,p);
	}
	return 0;
}

