<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 <bits/stdc++.h>
using namespace std;
typedef complex<double> Point;
typedef pair<Point, Point> Line;
const double EPS = 1e-9;

// 内積 |a||b|cosθ
double dot(Point a, Point b){
	// return a.real() * b.real() + a.imag() * b.imag();
	return (conj(a) * b).real();
}
// 外積、符号付面積の２倍　|a||b|sinθ
double cross(Point a, Point b){
	// return a.real() * b.imag() - a.imag() * b.real();
	return (conj(a) * b).imag();
}
// 点の位置関係　2点a,bから見た点cの位置関係
int ccw(Point a, Point b, Point c){
    if(cross(b - a, c - a) > EPS) return 1;
    if(cross(b - a, c - a) < -EPS) return -1;
    if(dot(b - a, c - a) < -EPS) return 2;
    if(abs(b - a) + EPS < abs(c - a)) return -2;
    return 0;
}

int main(){
    double x, y;
    Point p1, p2;
    cin >> x >> y;
    p1 = {x, y};
    cin >> x >> y;
    p2 = {x, y};
    Line l = {p1, p2};
    int q;
    cin >> q;
    for(int i = 0; i < q; i++){
        cin >> x >> y;
        Point p3 = {x, y};
        int res = ccw(p1, p2, p3);
        if(res == 1){
            cout << "COUNTER_CLOCKWISE" << endl;
        }else if(res == -1){
            cout << "CLOCKWISE" << endl;
        }else if(res == 2){
            cout << "ONLINE_BACK" << endl;
        }else if(res == -2){
            cout << "ONLINE_FRONT" << endl;
        }else{
            cout << "ON_SEGMENT" << endl;
        }
    }
}
