<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 <cmath>
#include <iostream>

using namespace std;

#define EPS 1e-9

#define PI 3.1415926535897932385

double dist(long long x, long long y)
{
	return sqrt(x * x + y * y);
}

double angle(int x, int y)
{
	return atan2((double)(y), (double)(x));
}

int main()
{
	int x0, y0, x1, y1, x2, y2, q;

	cin >> x0 >> y0 >> x1 >> y1 >> q;

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

		int ax = x1 - x0;
		int ay = y1 - y0;
		int bx = x2 - x0;
		int by = y2 - y0;

		double ad = dist(ax, ay);
		double bd = dist(bx, by);

		double at = angle(ax, ay);
		double bt = angle(bx, by);

		double st = bt - at;

		if (st < -PI - EPS)
		{
			st += 2 * PI;
		}

		if (st > PI + EPS)
		{
			st -= 2 * PI;
		}

		double da, db;

		if (bx != 0 || by != 0)
		{
			if (ax == 0 || bx == 0)
			{
				da = 1.0 * ax / ay;
				db = 1.0 * bx / by;
			}
			else
			{
				da = 1.0 * ay / ax;
				db = 1.0 * by / bx;
			}
		}

		if (bx == 0 && by == 0)
		{
			cout << "ON_SEGMENT" << endl;
		}
		else if (-EPS < db - da && db - da < EPS)
		{
			if (ax * bx < 0 || ay * by < 0)
			{
				cout << "ONLINE_BACK" << endl;
			}
			else
			{
				if (ad < bd)
				{
					cout << "ONLINE_FRONT" << endl;
				}
				else
				{
					cout << "ON_SEGMENT" << endl;
				}
			}
		}
		else if (st > EPS)
		{
			cout << "COUNTER_CLOCKWISE" << endl;
		}
		else
		{
			cout << "CLOCKWISE" << endl;
		}
	}

	return 0;
}