uva-133 The Dole Queue

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

Input

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

Output

For each triplet, output a single line of numbers specifying the order in which people are chosen. Each number should be in a field of 3 characters. For pairs of numbers list the person chosen by the counter-clockwise official first. Separate successive pairs (or singletons) 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.

这个题的意思是给你一个长度为N的循环队列，一个人从1号开始逆时针开始数数，第K个出列，一个人从第N个人开始顺时针数数，第M个出列，选到的两个人要同时出列（以不影响另一个人数数），选到同一个人只出队一次。

解题思想：用数组模拟，arr[i]等于0时表示第I个人出列。

#include <iostream>
#include<deque>
#include<algorithm>
#include<cstdio>

using namespace std;
int main()
{

int n,k,m,size;
int arr[20];
while(cin>>n>>k>>m)
{
if(n==0&&k==0&&m==0)break;
int p=0,q=n-1;
size=n;
for(int i=0; i<n; i++)
arr[i]=i+1;
while(size>0)
{
for(int i=1; i<k; i++)
{
p=(p+1)%n;
if(!arr[p])i--;
}
for(int i=1; i<m; i++)
{
q=(q-1+n)%n;
if(!arr[q])i--;
}
if(arr[p])
{
printf("%3d",arr[p]);
arr[p]=0;
size--;
}
if(arr[q])
{
printf("%3d",arr[q]);
arr[q]=0;
size--;
}
for(int i=0; i<n; i++)
{
p=(p+1)%n;
if(arr[p])break;
}
for(int i=0; i<n; i++)
{
q=(q-1+n)%n;
if(arr[q])break;
}
if(size)printf(",");
else printf("\n");
}
}
return 0;
}