305 - Joseph

UVa網站題目連結
My Solved Problems Performance

The Joseph's problem is notoriously known. For those who are not familiar with the original problem: from among n people, numbered 1, 2, ..., n, standing in circle every mth is going to be executed and only the life of the last remaining person will be saved. Joseph was smart enough to choose the position of the last remaining person, thus saving his life to give us the message about the incident. For example when n = 6 and m = 5 then the people will be executed in the order 5, 4, 6, 2, 3 and 1 will be saved.

Suppose that there are k good guys and k bad guys. In the circle the first k are good guys and the last k bad guys. You have to determine such minimal m that all the bad guys will be executed before the first good guy.

Input

The input file consists of separate lines containing k. The last line in the input file contains 0. You can suppose that 0 < k < 14.

Output

The output file will consist of separate lines containing m corresponding to k in the input file.

Sample Input

3
4
0

Sample Output

5
30

Solution

  1. import java.io.BufferedInputStream;
  2. import java.util.Scanner;

  3. public class Main {

  4. static Scanner in = new Scanner(new BufferedInputStream(System.in));
  5. static int k, m, p, now, kill;

  6. public static void main (String[] args) {

  7. while ((k=in.nextInt())!=0) {
  8. Joseph(k);
  9. }
  10. }

  11. private static void Joseph(int k) {
  12. p = 2*k;
  13. now = 1;
  14. m = 2;
  15. while (p > k) {
  16. kill = (now+m-1)%p;
  17. if ((kill<=k)&&(kill!=0)) {
  18. p = 2*k;
  19. m++;
  20. now = 1;
  21. } else {
  22. now = (kill==0) ? 1 : kill;
  23. p--;
  24. }
  25. }
  26. System.out.println(m);
  27. }
  28. }
關鍵字:UVa Online Judge, ACM. Java


留言

相關文章

這個網誌中的熱門文章

【汽機車燃料費攻略】2020/109年度信用卡回饋/分期整理!

【台新雙狗更新】@GoGo卡網購支付6%、FlyGo卡航旅6%!

【證件遺失補辦】身分證/健保卡/駕照/行照/信用卡總整理

【玉山U Bear卡】網購3.8%超商5%影音20%/icash限定8%!

【信用卡排行榜】2020國內外必辦現金回饋信用卡推薦!

【永豐大戶DAWHO】現金回饋信用卡國內2%國外3%最高8%!

【永豐幣倍卡】權益更新!免換匯行動支付6%、最高9%!

【Richart Life】台新Pay10%+點10成金10%+@GoGo6%=26%!