Table of contents title
Question description
For any four-digit number, as long as the numbers in each digit are not exactly the same, there is this rule:
1) Combine the four numbers that make up the four-digit number Arrange from large to small to form the largest four-digit number composed of these four numbers;
2) Arrange the four numbers that make up the four-digit number from small to large to form the largest four-digit number composed of these four numbers. The smallest four-digit number composed of four numbers (if the four numbers contain 0, the number obtained is less than four digits);
3) Find the difference between the two numbers and get a new Four digits (high-order zeros are reserved).
Repeat the above process, and the final result you will get is 6174.
For example: 4312 3087 8352 6174, after three transformations, we get 6174
Input
Input description:
A four-digit integer, input to ensure that the four digits are not exactly the same
Input sample Example:
4312
output
Output description:
An integer indicating how many times this number can be transformed to get 6174
Output sample:
3
HINT: Time limit: 1.0s Memory limit: 256.0MB
Problem-solving ideas
First get the number in each bit, then sort and subtract the maximum and minimum values, and then loop until it equals 6417.
code
import java.util.Arrays;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scanner=new Scanner(System.in);
int m=scanner.nextInt(); //输入数字m
int n=0; //记录变化的次数
while (m!=6174){
//判断是否等于6147
int m1=m/1000; //得到千位
int m2=m/100%10; //得到百位
int m3=m/10%10; //得到十位
int m4=m%10; //得到个位
int []a={
m1,m2,m3,m4}; //加入数组
Arrays.sort(a); //从小到大排序
int n2=a[3]*1000+a[2]*100+a[1]*10+a[0];//降序
int n1=a[0]*1000+a[1]*100+a[2]*10+a[3];//升序
m= n2-n1; //相减变换
n++; //变化次数加1
}
System.out.println(n); //输出变化次数
}
}