1069 The Black Hole of Numbers（20 分）

For any 4-digit integer except the ones with all the digits being the same, if we sort the digits in non-increasing order first, and then in non-decreasing order, a new number can be obtained by taking the second number from the first one. Repeat in this manner we will soon end up at the number 6174 -- the black hole of 4-digit numbers. This number is named Kaprekar Constant.

For example, start from 6767, we'll get:

7766 - 6677 = 1089
9810 - 0189 = 9621
9621 - 1269 = 8352
8532 - 2358 = 6174
7641 - 1467 = 6174
... ...

Given any 4-digit number, you are supposed to illustrate the way it gets into the black hole.

Input Specification:

Each input file contains one test case which gives a positive integer N in the range (.

Output Specification:

If all the 4 digits of N are the same, print in one line the equation N - N = 0000. Else print each step of calculation in a line until 6174 comes out as the difference. All the numbers must be printed as 4-digit numbers.

Sample Input 1:

6767

Sample Output 1:

7766 - 6677 = 1089
9810 - 0189 = 9621
9621 - 1269 = 8352
8532 - 2358 = 6174

Sample Input 2:

2222

Sample Output 2:

2222 - 2222 = 0000

#include<cstdio>
#include<algorithm>
using namespace std;

bool cmp(int a,int b){
    return a> b;
}

void to_array(int num[],int n){
    for(int i = 0 ; i < 4; i++){
        num[i] = n % 10;
        n /= 10;
    }
}

int to_number(int num[]){
    int sum = 0;
    for(int i = 0 ; i < 4; i++){
        sum = sum * 10 + num[i];
    }
    return sum;
}

int main(){
    int n;
    scanf("%d",&n);
    int num[5];
    while(1){
        to_array(num,n);
        sort(num,num+4);
        int min = to_number(num);
        sort(num,num+4,cmp);
        int max = to_number(num);
        n = max - min;
        printf("%04d - %04d = %04d\n",max,min,n);
        if(n == 0 || n == 6174) break;
    }
    return 0;
}