Counter-Clockwise

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).

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.

Constraints

• 1≤q≤1000
• −10000≤x_i,y_i≤10000
• p0 and p1 are not identical.

Sample Input 1

0 0 2 0
2
-1 1
-1 -1

Sample Output 1

COUNTER_CLOCKWISE
CLOCKWISE

Sample Input 2

0 0 2 0
3
-1 0
0 0
3 0

Sample Output 2

ONLINE_BACK
ON_SEGMENT
ONLINE_FRONT

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