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UVa133.The Dole Queue
题目链接:http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=69
13874119 | 133 | The Dole Queue | Accepted | C++ | 0.009 | 2014-07-13 02:44:49 |
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
4 8, 9 5, 3 1, 2 6, 10, 7
where represents a space.
解题思路:一道非常类似约瑟夫问题的题目。http://acm.sdut.edu.cn/sdutoj/problem.php?action=showproblem&problemid=1197
(关于约瑟夫问题,可以翻阅《具体数学》第一章引例。)
直接数组模拟就好,没特殊机巧。白书上标程的写法更加精炼,要多学学优化自身的代码!
1 #include <iostream> 2 #include <cstring> 3 #include <cstdio> 4 5 using namespace std; 6 7 const int maxn = 25; 8 int n, m, k, peo[maxn]; 9 10 int solve_z(int cur_first, int step_time) {11 int ans = cur_first;12 while (step_time --) {13 ans ++;14 if (ans > n) ans = 1;15 while (peo[ans] == -1) {16 ans ++;17 if (ans > n) ans = 1;18 }19 }20 return ans;21 }22 23 int solve_f(int cur_first, int step_time) {24 int ans = cur_first;25 while (step_time --) {26 ans --;27 if (ans == 0) ans = n;28 while (peo[ans] == -1) {29 ans --;30 if (!ans) ans = n;31 }32 }33 return ans;34 }35 36 int main() {37 while (cin >> n >> k >> m) {38 if (n + k + m == 0) break;39 for (int i = 0; i <= n; i ++) {40 peo[i] = i;41 }42 43 int left_peo = n;44 int cur1 = n, cur2 = 1;45 while (left_peo != 0) {46 cur1 = solve_z(cur1, k);47 //cout << cur1 << endl;48 cur2 = solve_f(cur2, m);49 //cout << cur2 << endl;50 //system("pause");51 printf("%3d", cur1); left_peo --;52 if (cur2 != cur1) {53 printf("%3d", cur2);54 left_peo --;55 }56 //cout << ",";57 peo[cur1] = peo[cur2] = -1;58 if(left_peo) cout << ",";59 }60 cout << endl;61 }62 63 return 0;64 }