Josephus环类问题,java实现
写出一个双向的循环链表,弄一个计数器,我定义的是到三的时候,自动删除当前节点,很简单。
package Com; import java.util.Scanner; /* * 约瑟夫环问题,有n个人组成的圈,数到3的那个人出列,下个人继续从一开始 */ public class Josephus { public static void main(String[] args) { Scanner s = new Scanner(System.in); int n = Integer.parseInt(s.nextLine()); Node first = new Josephus().startRun(n ); int count = 1; while(first.next != first) { first = first.next; count++; if(count == 3) { first.previous.next = first.next; first.next.previous = first.previous; first = first.next; count = 1; } } System.out.println("最后剩下来的数字为:"+first.n); } public Node startRun(int n) { Node first = new Node(); first.previous = null; first.n = n ; //这里给链表赋值,倒叙 Node current = first; Node last = first; while((--n)>0) { current.next = new Node(); current = current.next; current.n = n; current.previous = last; last = current; } current.next = first; first.previous = current; return first; } class Node { int n ; Node next; Node previous; } }