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: Accepted)

import java.util.*;
public class Main{

  public static void main(String[] args){
      Scanner sc = new Scanner(System.in);
      int n = sc.nextInt();
      int[] nums = new int[]{1,2,2,2};
      for(int i = 3; i>=0; i--) {
          nums[i] = n % 10;
          n /= 10;
      }
      
      for(int i = 0; i < (1 << 3); i++) { // 0: -, 1: +
          int res = nums[0];
          for(int j = 1; j < nums.length; j++) {
              if(((i >> (j-1)) & 1) == 0)
                res -= nums[j];
              else
                res += nums[j];
          }
          if(res == 7) {
            StringBuilder sb = new StringBuilder();
            sb.append((char)(nums[0]+'0'));
            for(int j = 1; j < nums.length; j++) {
              if(((i >> (j-1)) & 1) == 0)
                sb.append('-');
              else
                sb.append('+');
              sb.append((char)(nums[j]+'0'));
            }
            
            System.out.println(sb.toString() + "=7");
            return;
          }
      }

  }
}