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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
#define equal(a,b) (fabs(a-b) < EPS)

struct Point{
  double x,y;

  Point(){}
  Point(double x,double y) : x(x),y(y) {}

  Point operator + (const Point &p)const{ return Point(x+p.x,y+p.y); }
  Point operator - (const Point &p)const{ return Point(x-p.x,y-p.y); }
  Point operator * (const double &k)const{ return Point(x*k,y*k); }
  Point operator / (const double &k)const{ return Point(x/k,y/k); }
};

double cross(const Point &a,const Point &b){ return a.x*b.y - b.x*a.y; }
double dot(const Point &a,const Point &b){ return a.x*b.x+a.y*b.y; }
double norm(const Point &p){ return dot(p,p); }

istream &operator >> (istream &is,Point &p){ 
  return is >> p.x >> p.y;
}

typedef Point Vector;

#define COUNTER_CLOCKWISE 1
#define CLOCKWISE -1
#define ONLINE_BACK 2
#define ONLINE_FRONT -2
#define ON_SEGMENT 0
typedef Point Vector;

int ccw(Point p0,Point p1,Point p2){
  Vector a = p1 - p0;
  Vector b = p2 - p0;
  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(a) < norm(b)){ return ONLINE_FRONT; }
  return ON_SEGMENT;
}



int main(){
  Point p0,p1,p2;
  int Q;
  cin >> p0 >> p1 >> Q;
  while(Q--){
    cin >> p2;
    switch(ccw(p0,p1,p2)){
    case COUNTER_CLOCKWISE:
      puts("COUNTER_CLOCKWISE");
      break;
    case CLOCKWISE:
      puts("CLOCKWISE");
      break;
    case ONLINE_BACK:
      puts("ONLINE_BACK");
      break;
    case ONLINE_FRONT:
      puts("ONLINE_FRONT");
      break;
    default:
      puts("ON_SEGMENT");
      break;
    }
  }
  return 0;
}