Uva 133 The Dole Queue

The Dole Queue 

Time limit: 3.000 seconds

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.

#include<stdio.h>
#include<string.h>

int main()
{
    int queue[22], i, j, n, t, k, m, front, rear;
    
    while(scanf("%d%d%d", &n, &k ,&m) == 3 && n && m && k)
{
    
    memset(queue, 0, sizeof(queue));
    for(i=1; i<=n; ++i) queue[i] = i;
    t = 0;
    front = 0, rear = n;
    while(t<n)
    {
        if(t) printf(",");
        i = j = 0;
        while(!queue[front]) {front++; front = front%n ? front%n : n;}
        while(!queue[rear]) {rear--; rear = rear <= 0 ? n : rear;}
             while(i<k)
             {
                 if(queue[(front = front%n? front%n: n)]) i++;
                 if(i >= k) continue; 
                 front = front%n+1;
                  
             }
             while(j<m)
             {
                 if(queue[(rear = rear%n ? rear%n : n)]) j++;
                 if(j >= m) continue;
                 rear = rear - 1 ? rear - 1 : n;
             }
         printf("%3d", queue[front]); queue[front] = 0; t++;
         if(front != rear) {printf("%3d", queue[rear]); queue[rear] = 0; t++;} 
    }
    printf("\n");
    
}
    return 0;
}

解题报告：

1是要注意格式，而是要明白整个流程 counter-clockwise是逆时针的意思，模拟一次很多问题都解决了， 当第一个applicant挑中时，他并有及时离开，而是参加了第二个applicant的挑选，所以也就有了后来只挑到一个applicant的原因，而且不管是哪个office挑到applicant，总要及时的指向下一个applicant， 这个问题有点像约瑟夫环的问题