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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<cmath>
#include<iomanip>
using namespace std;

const double EPS = 1e-10;
bool equals(double a, double b) {
	return fabs(a - b) < EPS;
}

class Point {
public:
	double x, y;

	Point(double x = 0, double y = 0): x(x), y(y) {}

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

	double norm() {
		return x * x + y * y;
	}
	double abs() {
		return sqrt(norm());
	}

	bool operator < (const Point &p) const {
		return x != p.x ? x < p.x : y < p.y;
	}

	bool operator == (const Point &p) const {
		return fabs(x - p.x) < EPS && fabs(y - p.y) < EPS;
	}
};

typedef Point Vector;

double dot(Vector a, Vector b) {
	return a.x * b.x + a.y * b.y;
}

double cross(Vector a, Vector b) {
	return a.x * b.y - a.y * b.x;
}

void check(Vector v0, Vector v1) {
	double c = cross(v0, v1);
	if (equals(c, 0)) {
		if (dot(v0, v1) < 0) cout << "ONLINE_BACK";
		else if (v1.norm() > v0.norm()) cout << "ONLINE_FRONT";
		else cout << "ON_SEGMENT";
	} else if (c > 0) {
		cout << "COUNTER_CLOCKWISE";
	} else {
		cout << "CLOCKWISE";
	}
	cout << endl;
}

int main() {
	int x0, y0, x1, y1, q;
	cin >> x0 >> y0 >> x1 >> y1 >> q;
	Vector v0 = Vector(x1 - x0, y1 - y0);
	int x2, y2;
	for (int i = 0; i < q; i++) {
		cin >> x2 >> y2;
		Vector v1 = Vector(x2 - x0, y2 - y0);
		check(v0, v1);
	}
	return 0;
}