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 JavaScript (node.js v5.12) (judge verdict: Accepted)

function Main(input) {
    var num = input.split("\n")[0];

    var formula = '';
    var ans = 0;

    for (var i = 0; i < 8; i++) {
        var tmp = '000' + i.toString(2);
        var bin = tmp.substring(tmp.length - 3);
        formula += num.charAt(0);
        ans += Number(num.charAt(0))
        for (var j = 1; j < 4; j++) {
            formula += bin.charAt(j - 1) === '0' ? '+' : '-'
            formula += num.charAt(j);
            ans += bin.charAt(j - 1) === '0' ? Number(num.charAt(j)) : -Number(num.charAt(j));
        }

        if (ans === 7) {
            formula += '=7';
            break;
        }
        formula = '';
        ans = 0;
    }
    console.log(formula)
}
//*この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
Main(require("fs").readFileSync("/dev/stdin", "utf8"));
// Main(require("fs").readFileSync("./input", "utf8"));