<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
#ifndef ___Geometry_Library
#define ___Geometry_Library

// ------ Includes ------ //
#include <cmath>
#include <complex>
#include <utility>
#include <algorithm>

// ------ Defines ------ //
typedef long double GType;
typedef std::complex<GType> Point;
typedef std::pair<Point, Point> Segment;

// ------ Constants ------ //
const GType EPS = 1.0e-10L;

// ------ Functions Level 1 ------ //
GType dot(const Point& p1, const Point& p2) {
	return (std::conj(p1) * p2).real();
}
GType cross(const Point& p1, const Point& p2) {
	return (std::conj(p1) * p2).imag();
}
int ccw(const Point& p1, const Point& p2, const Point& p3) {
	Point v1 = p2 - p1, v2 = p3 - p1;
	if (cross(v1, v2) > EPS) return +1;
	if (cross(v1, v2) < -EPS) return -1;
	if (dot(v1, v2) < -EPS) return +2;
	if (std::norm(v1) < std::norm(v2)) return -2;
	return 0;
}

#endif

#include <iomanip>
#include <iostream>
using namespace std;
int q, xa, ya, xb, yb; Point p1, p2, p3;
int main() {
	cin >> xa >> ya >> xb >> yb;
	p1 = Point(xa, ya);
	p2 = Point(xb, yb);
	cin >> q;
	while (q--) {
		cin >> xa >> ya; p3 = Point(xa, ya);
		int res = ccw(p1, p2, p3);
		if(res == +1) cout << "COUNTER_CLOCKWISE" << endl;
		if(res == -1) cout << "CLOCKWISE" << endl;
		if(res == +2) cout << "ONLINE_BACK" << endl;
		if(res == -2) cout << "ONLINE_FRONT" << endl;
		if(res == +0) cout << "ON_SEGMENT" << endl;
	}
	return 0;
}