一.二进制，位运算，移位运算

1.二进制

对于原码, 反码, 补码而言, 需要注意以下几点:

(1).Java中没有无符号数, 换言之, Java中的数都是有符号的;

(2).二进制的最高位是符号位, 0表示正数, 1表示负数;

(3).正数的原码, 反码, 补码都一样;

(4).负数的反码=它的原码符号位不变, 其他位取反;

(5).负数的补码=它的反码+1;

(6).0的反码, 补码都是0;

(7).在计算机运算的时候, 都是以补码的方式来运算的.

2.位运算

Java中有4个位运算, 分别是按位与&, 按位或|, 按位异或^, 按位取反~, 它们的运算规则为:

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" alt="" />

3.移位运算

Java中有3个移位运算符, 分别是算术右移>>, 算术左移<<, 逻辑右移>>>, 它们的运算规则为:

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" alt="" />

4.简单的程序实例

public class Demo1 {

    public static void main(String[] args) {

        System.out.println(~2);

        System.out.println(2&3);

        System.out.println(2|3);

        System.out.println(~-5);

        System.out.println(13&7);

        System.out.println(5|4);

        System.out.println(-3^3);

    }

}

运行结果:

-3
2
3
4
5
5
-2

public class Demo2 {

    public static void main(String[] args) {

        System.out.println(1>>2);

        System.out.println(-1>>2);

        System.out.println(1<<2);

        System.out.println(-1<<2);

        System.out.println(3>>>2);

    }

}

运行结果:

0
-1
4
-4
0

二.约瑟夫问题

约瑟夫问题: 设编号为1,2,3...n的n个人围坐一圈, 约定编号为k(1<=k<=n)的人从1开始报数, 数到m的那个人出列, 它的下一位又从1开始报数, 数到m的那个人又出列, 依次类推, 直到所有人出列为止, 由此产生一个出队编号的序列.

public class Demo3 {

    public static void main(String[] args) {

        CycleLinkList cycleLinkList=new CycleLinkList();

        cycleLinkList.setCycleLinkListLength(10);

        cycleLinkList.initCycleLinkList();

        cycleLinkList.Josephu(4, 6);

    }

}

/**

 * 节点结构

 */

class Node {

    //编号

    private int number;

    //指向下一个节点的引用

    private Node nextNode=null;

    //构造函数

    public Node(int number) {

        this.number=number;

    }

    //设置nextNode节点

    public void setNextNode(Node nextNode) {

        this.nextNode = nextNode;

    }

    //得到nextNode节点

    public Node getNextNode() {

        return nextNode;

    }

    //得到编号

    public int getNumber() {

        return number;

    }

}

/**

 * 循环链表

 */

class CycleLinkList {

    //链表的长度

    private int length=0;

    //指向链表头结点的引用

    private Node firstNode=null;

    /**

     * 设置链表的长度

     * @param len 链表长度

     */

    public void setCycleLinkListLength(int len) {

        this.length=len;

    }

    /**

     * 初始化循环链表

     */

    public void initCycleLinkList() {

        //定义一个临时节点

        Node tempNode=null;

        for(int i=1;i<=length;i++) {

            //头节点

            if(1==i) {

                Node headNode=new Node(i);

                this.firstNode=headNode;

                tempNode=headNode;

            }else {

                //尾节点

                if(length==i) {

                    Node node=new Node(i);

                    tempNode.setNextNode(node);

                    tempNode=node;

                    //将尾节点的nextNode引用指向链表的头节点firstNode

                    tempNode.setNextNode(firstNode);

                }else { //其它节点

                    Node node=new Node(i);

                    tempNode.setNextNode(node);

                    tempNode=node;

                }

            }

        }

    }

    /**

     * 打印循环链表

     */

    public void printCycleLinkList() {

        Node tempNode=this.firstNode;

        do {

            System.out.println(tempNode.getNumber());

            tempNode=tempNode.getNextNode();

        } while (tempNode!=this.firstNode);

    }

    /**

     * 约瑟夫问题

     * @param k 从第k个人开始报数

     * @param m 数m下

     */

    public void Josephu(int k, int m) {

        //判断k的合法性

        if( !(k>=1 && k<=this.length) ) {

            System.out.println("传入的k不正确");

            System.exit(-1);

        }

        //定义一个临时节点

        Node tempNode=this.firstNode;

        //先找到第k个人

        for(int i=1;i<k;i++) {

            tempNode=tempNode.getNextNode();

        }

        //数m下,将数到m的节点从循环链表中删除

        //有两种情况需要考虑,

        //第一种:m=1的情形

        //第二种:除了第一种的特殊情况,其他的只要找到数到m节点的的前一个节点即可,即数m-1下

        //第一种情形

        if(1==m) {

            //从当前节点依次输出出队序列

            int len=this.length;

            while( (len--)>0) {

                System.out.println(tempNode.getNumber());

                tempNode=tempNode.getNextNode();

            }

        }

        //第二种情形

        else {

            //记录出队的节点数

            int cnt=0;

            do {

                //数(m-1)下

                for(int j=1;j<(m-1);j++) {

                    tempNode=tempNode.getNextNode();

                }

                //出队的节点

                System.out.println(tempNode.getNextNode().getNumber());

                //记录出队的节点数

                cnt++;

                //删除数到m的节点

                Node tempNode2=tempNode.getNextNode().getNextNode();

                tempNode.setNextNode(tempNode2);

                //更新tempNode,从数到m的人下一个开始报数

                tempNode=tempNode2;

            } while (cnt!=this.length);

        }

    }

}

运行结果:

9
5
2
10
8
1
4
3
7
6