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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 <iostream>
#include <string>
#include <vector>
#include <complex>

enum INDICES {
  COUNTER_CLOCKWISE = 0,
  CLOCKWISE,
  ONLINE_BACK,
  ON_SEGMENT,
  ONLINE_FRONT
};

const std::vector<std::string> strLst = {
  "COUNTER_CLOCKWISE",
  "CLOCKWISE",
  "ONLINE_BACK",
  "ON_SEGMENT",
  "ONLINE_FRONT"
};

const double tol = 1e-15;

int main() {
  double x0, y0, x1, y1;
  std::cin >> x0 >> y0 >> x1 >> y1;

  int q;
  std::cin >> q;

  for (int i = 0; i < q; ++i) {
    double x2, y2;
    std::cin >> x2 >> y2;

    int index;
    if ((x2 == x0 && y2 == y0) || (x2 == x1 && y2 == y1)) {
      index = INDICES::ON_SEGMENT;
    } else {
      double ip = (x1 - x0) * (x2 - x0) + (y1 - y0) * (y2 - y0);
      double norm1 = std::sqrt((x1 - x0) * (x1 - x0) + (y1 - y0) * (y1 - y0));
      double norm2 = std::sqrt((x2 - x0) * (x2 - x0) + (y2 - y0) * (y2 - y0));
      double theta = ip / norm1 / norm2;
      if (theta < -1 + tol) {
        index = INDICES::ONLINE_BACK;
      } else if (theta > 1 - tol) {
        index = (norm1 < norm2) ? INDICES::ONLINE_FRONT : INDICES::ON_SEGMENT;
      } else {
        double opz = (x1 - x0) * (y2 - y0) - (x2 - x0) * (y1 - y0);
        index = (opz > 0) ? INDICES::COUNTER_CLOCKWISE : INDICES::CLOCKWISE;
      }
    }

    std::cout << strLst[index] << std::endl;
  }

  return 0;
}
