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);
    
    String[] list = sc.next().split("");
    
    for(int i = 0; i < Math.pow(2, list.length - 1); i++) {
      int total = Integer.parseInt(list[0]);
      StringBuilder answer = new StringBuilder(list[0]);
      for(int j = 0; j < list.length - 1; j++) {
        
        if((1&i>>j) == 1) {
          total += Integer.parseInt(list[j + 1]);
          answer.append("+").append(list[j + 1]);
        } else {
          total -= Integer.parseInt(list[j + 1]);
          answer.append("-").append(list[j + 1]);
        }
      }
      if(total == 7) {
        System.out.println(answer.append("=7").toString());
        break;
      }
    }  
  }
}