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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
if __name__ == "__main__":
    x_p0, y_p0, x_p1, y_p1 = map(lambda x: int(x), input().split())
    q = int(input())

    p0 = complex(x_p0, y_p0)
    p1 = complex(x_p1, y_p1)
    p0p1 = p1 - p0

    for _ in range(q):
        x_p2, y_p2 = map(lambda x: int(x), input().split())
        p2 = complex(x_p2, y_p2)
        p0p2 = p2 - p0
        # Imaginary part of p0p2 / p0p1 (ignoring denominator factor)
        sin_theta_val = p0p1.real * p0p2.imag - p0p1.imag * p0p2.real

        if abs(sin_theta_val) < 1e-9:
            if 0 <= p0p1.real * p0p2.real and 0 <= p0p1.imag * p0p2.imag:
                if abs(p0p1) < abs(p0p2):
                    print("ONLINE_FRONT")
                else:
                    print("ON_SEGMENT")
            else:
                print("ONLINE_BACK")
        else:
            if 0 < sin_theta_val:
                print("COUNTER_CLOCKWISE")
            else:
                print("CLOCKWISE")

