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)

import java.util.*;

public class Main{
  public static void main(String[] args){
    StringBuilder sb = new StringBuilder();
    Scanner sc = new Scanner(System.in);
    String s = sc.nextLine();
    int[] digit = new int[4];

    for(int i = 3; i >= 0; i--){
      digit[i] = s.charAt(i) - '0';
    }

    outline:for(int j = 0; j < (int)Math.pow(2, 3); j++){
      sb.append(digit[3]);
      int sum = digit[3];
      for(int k = 2; k >= 0; k--){
        if((1 & (j >> k)) == 1){
          sb.append('-');
          sb.append(digit[k]);
          sum -= digit[k];
        }else{
          sb.append('+');
          sb.append(digit[k]);
          sum += digit[k];
        }
      }
      if(sum == 7){
        System.out.println(sb + "=7");
        break outline;
      }
      sb.setLength(0);
    }
  }
}