uva The Dole Queue

题目如下：

The Dole Queue

In a serious attempt to downsize (reduce) the dole queue, The NewNational Green Labour Rhinoceros Party has decided on the followingstrategy. Every day all dole applicants will be placed in a largecircle, facing inwards. Someone is arbitrarily chosen as
number 1,and the rest are numbered counter-clockwise up to N (who will bestanding on 1's left). Starting from 1 and moving counter-clockwise,one labour official counts off k applicants, while another officialstarts from N and moves clockwise, counting m applicants.
The two whoare chosen are then sent off for retraining; if both officials pickthe same person she (he) is sent off to become a politician. Eachofficial then starts counting again at the next available person andthe process continues until no-one is left. Note
that the two victims(sorry, trainees) leave the ring simultaneously, so it is possible forone official to count a person already selected by the other official.

Input

Write a program that will successively read in (in that order) thethree numbers (N, k and m; k, m > 0, 0 < N < 20) and determinethe order in which the applicants are sent off for retraining. Eachset of three numbers will be on a separate line and the end
of datawill be signalled by three zeroes (0 0 0).

Output

For each triplet, output a single line of numbers specifying the orderin which people are chosen. Each number should be in a field of 3characters. For pairs of numbers list the person chosen by thecounter-clockwise official first. Separate successive pairs
(orsingletons) by commas (but there should not be a trailing comma).

Sample input

10 4 3
0 0 0

Sample output

4


8,


9


5,


3


1,


2


6,


10,


7

where


represents a space.

简单的模拟题，一遍AC，一群人站成一圈，每次选出一定编号的人，直到没人为止，输出选出的人的顺序，直接模拟即可。

AC的代码如下：