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: Accepted)

<?php
$tmp = [];
$file = fopen("./stdin.txt", "r");
if ($file) {
    while ($line = fgets($file)) {
        $tmp[] = trim($line);
    }
}
fclose($file);

$tmp = [];
while ($line = fgets(STDIN)) {
    $tmp[] = trim($line);
}


// 全ての間に+入れておく
$list = str_split(wordwrap($tmp[0], 1, '+', true));

$n = 3;

for ($bit = 0; $bit < (1 << $n); $bit++) {
    $thisList = $list;
    for ($i = 0; $i < $n; $i++) {
        if ($bit & (1 << $i)) {
            $minus = 2 * $i + 1;
            $thisList[$minus] = '-';
        }
    }

    $result = $thisList[0];
    for ($l = 2; $l <= 6; $l = $l + 2) {
        if ($thisList[$l - 1] === '+') {
            $result += $thisList[$l];
        } else {
            $result -= $thisList[$l];
        }
    }

    if ($result === 7) {
        echo implode('', $thisList) . '=7';
        break;
    }
}