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 (5.6.30) (judge verdict: Accepted)

<?php
  # めんどくせぇしどうせPHPなので果敢にevalを使う（evil <- PHPのevalが意味不明な挙動しやがるので諦めて愚直にやる
  $number = array_map("intVal", str_split(trim(fgets(STDIN))));
  $op = ["+", "-"];
  foreach($op as $x){
    foreach($op as $y){
      foreach($op as $z){
        // PHPのevalがなんか意味不明な挙動をしやがる
        // # $ans = "$number[0] $x $number[1] $y $number[2] $z $number[3]";
        // # echo "ans = $ans, sum = " . eval($ans) . PHP_EOL;
        // echo eval("return " . $ans . ";") . PHP_EOL;
        // ので諦める
        $ans = 0;
        if($x=="+"){
          $ans += ($number[0]) + ($number[1]);
        }else{
          $ans += ($number[0]) - ($number[1]);
        }
        if($y=="+"){
          $ans += ($number[2]);
        }else{
          $ans -= ($number[2]);
        }
        if($z=="+"){
          $ans += ($number[3]);
        }else{
          $ans -= ($number[3]);
        }
        if($ans == 7){
          echo "${number[0]}${x}${number[1]}${y}${number[2]}${z}${number[3]}" . "=7" . PHP_EOL;
          exit();
        }
      }
    }
  }
?>