The Dole Queue

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The Dole Queue
Time Limit:3000MS     Memory Limit:0KB     64bit IO Format:%lld & %llu
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Description

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 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 30 0 0

Sample output

tex2html_wrap_inline34 4 tex2html_wrap_inline34 8, tex2html_wrap_inline34 9 tex2html_wrap_inline34 5, tex2html_wrap_inline34 3 tex2html_wrap_inline34 1, tex2html_wrap_inline34 2 tex2html_wrap_inline34 6, tex2html_wrap_inline50 10, tex2html_wrap_inline34 7

where tex2html_wrap_inline50 represents a space.


/////uva好坑啊,就没输出换行就WA。#include<iostream>#include<iomanip>#include<string.h>using namespace std;int main(){int n[10000],a,b,c,i,j,k;int s,l,b1,c1;while(cin>>a>>b>>c&&a){n[0]=-9999;l=0;b1=0,c1=0;i=1;j=a;memset(n,0,sizeof(n));n[0]=n[0];s=a;while(s){l--;c1=b1=0;for(;i<=a;i++){if(n[i]==0)b1++;if(b1==b){cout<<setw(3)<<i;n[i]=l;s--;break;}if(i==a)i=0;}if(s>=0){for(;j>0;j--){if(j==a+1)j--;if(n[j]==0||n[j]==l)c1++;if(c1==c&&n[j]!=l){cout<<setw(3)<<j;n[j]=l;s--;}if(j==1)j=a+1;if(c1==c){if(s!=0)cout<<',';if(s==0)cout<<endl;break;}}}}}return 0;}


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