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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 counterclockwise 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 counterclockwise official first. Separate successive pairs (or singletons) by commas (but there should not be a trailing comma). Note: The symbol ⊔ in the Sample Output below represents a space. Sample Input 10 4 3 0 0 0 Sample Output ␣␣4␣␣8,␣␣9␣␣5,␣␣3␣␣1,␣␣2␣␣6,␣10,␣␣7一共有n个人,坐成一个环。以1-n逆时针编号。有两个人A,B。A从1开始数k个人,B从n开始数m个人。被数到的人退场。然后继续数,直到所有人都退场。
输出退场次序,若A与B数的人编号不同,A数的先输出。开一个数组保存编号。退场的编号为0,数到0的时候跳过。记得对A取膜,B小于零时变为n。
#includeusing namespace std;bool isempty(int *s,int n)//判断是否全部退场{ for(int i=1;i<=n;++i) if(s[i]!=0) return true; return false;}int main(){ int n,k,m; int s[21]; while(cin>>n>>k>>m&&(n||k||m)) { int a=1,b=n,cnt=1; for(int i=1;i<=n;++i) s[i]=i; while(isempty(s,n)) { if(cnt!=1) printf(","); int ca=1,cb=1; while(ca!=k||cb!=m) { if(ca n) a%=n; if(s[a]!=0) ca++; } if(cb n) a=1; } while(s[b]==0) { --b; if(b<1) b=n; } } cnt++; } printf("\n"); } return 0;}
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