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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 <bits/stdc++.h>

using namespace std;

class Point {
    public:
        double x, y;
        Point(double x = 0.0, double y = 0.0): 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(x * k, y * k); }
        Point operator / (double k) { return Point(x / k, y / k); }

        double friend norm(Point p) { return p.x * p.x + p.y * p.y; }
        double friend abs(Point p) { return sqrt(norm(p)); }
};
typedef Point Vector;

double dot(Vector v1, Vector v2) {
    return v1.x * v2.x + v1.y * v2.y;
}

double cross(Vector v1, Vector v2) {
    return v1.x * v2.y - v1.y * v2.x;
}

int main(void) {
    int q, c, d;
    Point p0, p1, p2;
    cin >> p0.x >> p0.y;
    cin >> p1.x >> p1.y;
    cin >> q;

    for (int i = 0; i < q; i++) {
        cin >> p2.x >> p2.y;
        c = cross(p1 - p0, p2 - p0);
        d = dot(p1 - p0, p2 - p0);
        if (c > 0) cout << "COUNTER_CLOCKWISE\n";
        else if (c < 0) cout << "CLOCKWISE\n";
        else if (d < 0) cout << "ONLINE_BACK\n";
        else if (abs(p2 - p0) > abs(p1 - p0)) cout << "ONLINE_FRONT\n";
        else cout << "ON_SEGMENT\n";
    }

    return 0;
}
