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
ini_set('error_reporting', E_ALL & ~E_NOTICE);

fscanf(STDIN, "%s", $ABCD);
$k = array("+", "-");
$array = str_split($ABCD);
for ($i = 0; $i < 8; $i++) {
    $res = intval($array[0]);
    $ans = $array[0];
    if (($i & 4) == 4) {
        $res += $array[1];
        $ans .= "+" . $array[1];
    } else {
        $res -= $array[1];
        $ans .= "-" . $array[1];
    }
    if (($i & 2) == 2) {
        $res += $array[2];
        $ans .= "+" . $array[2];
    } else {
        $res -= $array[2];
        $ans .= "-" . $array[2];
    }
    if (($i & 1) == 1) {
        $res += $array[3];
        $ans .= "+" . $array[3];
    } else {
        $res -= $array[3];
        $ans .= "-" . $array[3];
    }
    if($res === 7) {
        echo "$ans\n";
        exit;
    }
}