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NineChainOfRings.java
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import java.util.Scanner;
public class NineChainOfRings {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
System.out.print("请输入环的个数:");
int numberOfRings = input.nextInt();
ringDown(numberOfRings);
System.out.println("总共所需步数:"+count);
}
static int count = 0;
public static void ringDown(int n){
if(n > 2){
//想要下第n环必须先下前n-2环
ringDown(n - 2);
}
if(n == 2){
//简化操作,直接下前一二环
System.out.println("前一二环一起下");
}else{
//第一步已下好前n-2环,故可下第n环
System.out.println("下第"+n+"环");
}
count++;
if(n > 2){
//想要下第n-1环,先上前n-2环
ringUp(n - 2);
}
if(n > 2){
//问题从下载前n环变为下载前n-1环
//继续递归
ringDown(n - 1);
}
}
/*上环实为下环的逆过程,
* 在此不再赘述,请读者
* 自行查看
* */
public static void ringUp(int n){
if(n > 2){
ringUp(n - 1);
}
if(n == 2){
System.out.println("前一二环一起上");
}else{
System.out.println("上第"+n+"环");
}
count++;
if(n >2){
ringDown(n - 2);
}
if(n > 2){
ringUp(n - 2);
}
}
}