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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 <cstdio>
#include <algorithm>
#include <complex>

using namespace std;

typedef long double ldb;
typedef complex<ldb> P;
struct L {
  P a,b;
  L(){}
  L(P a,P b):a(a),b(b){}
  ldb len(){return abs(a-b);}
  P vec(){return b-a;}
};

const ldb eps = 1e-8;
const ldb pi = acos(-1);
int sig(ldb a) {return (a<-eps)?-1:(a>eps)?1:0;}
bool eq(ldb a,ldb b){return abs(a-b)<eps;}
ldb dot(P a, P b) {
  return (a.real() * b.real() + a.imag() * b.imag());
}
ldb cross(P a, P b) {
  return (a.real() * b.imag() - a.imag() * b.real());
}
enum CCW{FRONT = 1, RIGHT = 2, BACK = 4, LEFT = 8, ON = 16};
int ccw(L s, P p) {
  P a = s.vec();
  p -= s.a;
  ldb cr = cross(a, p);
  if (eq(cr, 0)) {
    if (sig(dot(a, p)) < 0) return BACK;
    if (sig(norm(a) - norm(p)) < 0) return FRONT;
    return ON;
  }
  return (cr > 0) ? LEFT : RIGHT;
}

int main(void)
{
  ldb x,y;
  P a,b;
  L l;
  scanf("%Lf%Lf",&x,&y); a = P(x,y);
  scanf("%Lf%Lf",&x,&y); b = P(x,y);
  l = L(a,b);
  int q; scanf("%d",&q);
  for( int i = 0; i < q; i++ ) {
    scanf("%Lf%Lf",&x,&y);
    int c = ccw(l,P(x,y));
    if( c == LEFT ) {
      puts("COUNTER_CLOCKWISE");
    }
    if( c == RIGHT ) {
      puts("CLOCKWISE");
    }
    if( c == ON ) {
      puts("ON_SEGMENT");
    }
    if( c == FRONT ) {
      puts("ONLINE_FRONT");
    }
    if( c == BACK ) {
      puts("ONLINE_BACK");
    }
  }
  return 0;
}