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 PHP (7.4.4) (judge verdict: Time Limit Exceeded)

<?php

  
  $a = str_split(trim(fgets(STDIN)));
  for($i=0;$i<8;$i++){
    for($j=0;$j<3;$j++){
      
      if($i-(2**(2-$j))>=0){
        $a[$j+1]=abs($a[$j+1]);
        $i -= 2**(2-$j);
      }else{
        $a[$j+1]=-1*abs($a[$j+1]);
      }
      
    
    }
    if($a[0]+$a[1]+$a[2]+$a[3]==7){
      for($k=1;$k<=3;$k++){
        if($a[$k]>=0){
        $a[$k] = "+".$a[$k];
        }
      }
    echo $a[0].$a[1].$a[2].$a[3]."=7";
      exit;
    }
  }