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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
import math

x0,y0,x1,y1 = map(float, raw_input().split())
q = int(raw_input())
for _ in xrange(q):
  x2,y2 = map(float, raw_input().split())
  ax = x1-x0
  ay = y1-y0
  bx = x2-x0
  by = y2-y0
  # check sin is positive or negative
  sin = ax*by-ay*bx
  if sin == 0:
    if(ax*bx < 0 or ay*by < 0):
      print "ONLINE_BACK"
    else:
      if math.fabs(bx) > math.fabs(ax) or math.fabs(by) > math.fabs(ay):
        print "ONLINE_FRONT"
      else:
        print "ON_SEGMENT"
  elif sin > 0:
    print "COUNTER_CLOCKWISE"
  else:
    print "CLOCKWISE"