Problem:
Score : 300 points

Problem Statement

Sitting in a station waiting room, Joisino is gazing at her train ticket.

The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive).

In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with + or - so that the formula holds.

The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted.

Constraints

0≤A,B,C,D≤9

All input values are integers.

It is guaranteed that there is a solution.

Input

Input is given from Standard Input in the following format:

ABCD

Output

Print the formula you made, including the part =7.

Use the signs + and -.

Do not print a space between a digit and a sign.

Sample Input 1

1222

Sample Output 1

1+2+2+2=7

This is the only valid solution.

Sample Input 2

0290

Sample Output 2

0-2+9+0=7

0 - 2 + 9 - 0 = 7 is also a valid solution.

Sample Input 3

3242

Sample Output 3

3+2+4-2=7

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

// writed 2020/03/25
// bit全探索
import java.util.Scanner;
class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int num = scanner.nextInt();
        scanner.close();
        String numString = String.valueOf(num);
        String[] nums = numString.split("");
        int numsInt[] = new int[4];

        for(int x=0;x<nums.length;x++) {
            numsInt[x] = Integer.parseInt(nums[x]);
        }
        
        int opnum = 3;

        for(int i=0;i<(1<<opnum);i++) {
            int sum = numsInt[0];
            int count = 0;
            StringBuilder sb = new StringBuilder(numString);
            for(int j=0;j<opnum;j++) {
                if((1&i>>j) == 1) {
                    sum += numsInt[j+1];
                    sb.insert(j+1+count, "+");
                    count++;
                }else {
                    sum -= numsInt[j+1];
                    sb.insert(j+1+count, "-");
                    count++;
                }
            }
            if(sum==7) {
                System.out.println(sb.toString());
                return;
            }
        }
    }
}