<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 <iostream>
#include <cmath>
#include <cstdio>
using namespace std;

struct Point {
  double x;
  double y;
};

double norm(Point a, Point b) {
  return sqrt( pow(a.x - b.x, 2) + pow(a.y - b.y, 2) );
}

double dot(Point p0, Point p1, Point p2) {
  return (p1.x - p0.x) * (p2.x - p0.x) + (p1.y - p0.y) * (p2.y - p0.y);
}

double cross(Point p0, Point p1, Point p2) {
  return ( p1.x - p0.x ) * ( p2.y - p0.y ) - ( p2.x - p0.x) * (p1.y - p0.y);
}

int main(void) {
  int q;
  Point p0, p1, p2;
  cin >> p0.x >> p0.y >> p1.x >> p1.y;
  cin >> q;

  for(int i = 0; i < q; i++) {
    cin >> p2.x >> p2.y;
    double cro = cross(p0, p1, p2);
    //printf("cro = %lf\n", cro);
    if(cro > 0) 
      printf("COUNTER_CLOCKWISE\n");
    else if(cro < 0)
      printf("CLOCKWISE\n");
    else {
      double norm10 = norm(p1, p0);
      double norm20 = norm(p2, p0);
      //printf("%lf %lf\n", norm10, norm20);
      if(norm20 == 0) {
        printf("ON_SEGMENT\n");
        continue;
      }
      double cos = dot(p0, p1, p2) / ( norm10 * norm20 );
      if(cos >= 0) {
        if( norm10 < norm20)
          printf("ONLINE_FRONT\n");
        else 
          printf("ON_SEGMENT\n");
      }
      else {
        printf("ONLINE_BACK\n");
      }
    }
  }
}
