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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php
$_p = function ($x, $y) { return $x + $y; };
$_m = function ($x, $y) { return $x - $y; };
$lt = ['+', '-'];
$ans = "";
define('TARGET', 7);

$a = str_split(fgets(STDIN));
$c = count($a);
$l = 0;

while(!$ans) {
    $v = 0;
    $str = "";

    $k = sprintf("%0{$c}d", decbin($l));
    for ($j = 0; $j < $c; $j++) {
        $v = $k[$j] == 0 ? $_p($v, $a[$j]) : $_m($v, $a[$j]);
        $str .= $lt[$k[$j]] . $a[$j]; 
    }
    if ($v == TARGET) {
        $ans = $str;
    }
    $l++;
}

printf("%s=%d", substr($ans, 1), TARGET);