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: Accepted)

<?php
  list($n) = explode(" ", trim(fgets(STDIN)));

  $s = [];
  for($bit=0; $bit<(1<<3); $bit++){
    $s[$bit]="";
    for($i=0; $i<3; $i++){
      $mask = 1 << $i;
      if($bit & $mask){
        $s[$bit] .= "+";
      }else{
        $s[$bit] .= "-";
      }
    }
  }

  for($i=0;$i<count($s);$i++){
    $ans = $n[0];
    for($j=0;$j<3;$j++){
      if($s[$i][$j] == '+'){
        $ans += $n[$j+1];
      }else{
        $ans -= $n[$j+1];
      }
    }
    if($ans == 7){
      echo $n[0].$s[$i][0].$n[1].$s[$i][1].$n[2].$s[$i][2].$n[3]."=7";
      exit;
    }
  }