22846_Clockwise

Saya have a long necklace with N beads, and she signs the beads from 1 to N. Then she fixes them to the wall to show N-1 vectors? vector i starts from bead i and end up with bead i+1.

One day, Kudo comes to Saya's home, and she sees the beads on the wall. Kudo says it is not beautiful, and let Saya make it better.

She says: "I think it will be better if it is clockwise rotation. It means that to any vector i ( i < N-1 ), it will have the same direction with vector i+1 after clockwise rotate T degrees, while 0 ≤ T < 180."

It is hard for Saya to reset the beads' places, so she can only remove some beads. To saving the beads, although she agrees with Kudo's suggestion, she thinks counter-clockwise rotation is also acceptable. A counter-clockwise rotation means to any vector i ( i < N-1), it will have the same direction with vector i+1 after counter-clockwise rotate T degrees, while 0 < T ≤ 180.

Saya starts to compute at least how many beads she should remove to make a clockwise rotation or a counter-clockwise rotation.

Since the necklace is very-very long, can you help her to solve this problem?

The input consists of several test cases.

The first line of input in each test case contains one integer N ( 2 < N ≤ 300 ), which represents the number of beads.

Each of the next N lines contains two integer x and y, represents the coordinate of the beads. You can assume that 0 < x, y < 10000.

The last case is followed by a line containing one zero.

For each case, print your answer with the following format:

If it is clockwise rotation without removing any beads, please print "C"; otherwise if it is counter-clockwise rotation without removing any beads, print "CC" instead; otherwise, suppose remove at least x beads to make a clockwise rotation and remove at least y beads to make a counter-clockwise rotation. If x ≤ y, print "Remove x bead(s), C", otherwise print "Remove x bead(s), CC" instead.

Your output format should imitate the sample output. Print a blank line after each test case.

3
1 1
2 2
3 3

3
1 1
2 2
1 1

4
1 1
2 2
3 3
2 2

0

C
CC
Remove 1 bead(s), C