Description
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.
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).
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).
10 4 3 0 0 0
4 8, 9 5, 3 1, 2 6, 10, 7
where represents a space.
题意:一个循环的圈,由两个人从头尾开始查找,分别将第m,第n的人删除,(两人是同时进行的),即是数完了才删除的,遇到相同的只输出一个,否则都输出,然后重新开始数,直至全部输完为止。直接用循环链表模拟即可,需要注意要删除的两个人相邻的情况,需要特殊处理,代码如下
#include<cstdio> #include<cstring> #include<algorithm> #define front Front int N,M,K,num[21],next[21],front[21],ans[21]; int main() { while(~scanf("%d%d%d",&N,&M,&K)&&(M+N+K)) { for(int i=0;i<N;i++) { num[i]=i+1; next[i]=i+1; front[i]=i-1; } front[0]=N-1; next[N-1]=0; int count=0,head=0,rear=N-1,t1=1,t2=1,p=N-1,q=0;///p,q,分别为head和rear的前一节点 while(count<N) { while(t1<M){p=head;head=next[head];t1++;} while(t2<K){q=rear;rear=front[rear];t2++;} t1=t2=1; if(num[head]!=num[rear]) { count+=2; printf("%3d%3d",num[head],num[rear]); if(count<N)putchar(‘,‘); } else///相等只打印一个 { count+=1; printf("%3d",num[head]); if(count<N)putchar(‘,‘); } if(next[head]==rear)///head的后驱等于rear { next[p]=next[rear]; front[q]=front[head]; head=next[rear]; rear=front[head]; } else if(front[head]==rear)///head的前驱等于rear(一定要注意判断这些情况) { next[front[rear]]=next[head]; front[next[head]]=front[rear]; head=next[head]; rear=front[rear]; } else///head ,rear不相邻 { next[p]=next[head]; front[next[head]]=front[head]; front[q]=front[rear]; next[front[rear]]=next[rear]; head=next[head]; rear=front[rear]; } } printf("\n"); } return 0; }
原文地址:http://blog.csdn.net/acvcla/article/details/25978859