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 C# (Mono-csc 3.5.0) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Globalization;
using System.Linq;
using System.Text;

class Test
{
    static string sss = string.Empty;
    public static void Main()
    {
        var num = Console.ReadLine();
        Sum(num, 0, "", 0, 7);
        Console.WriteLine(sss + "=7");
    }

    public static void Sum(string number, int index, string ans, int sum, int target)
    {
        if (index >= number.Length)
        {
            if (sum == target)
            {
                if (ans.Length == 7)
                    sss = ans;
            }
            return;
        }


        for (int i = index; i < number.Length; i++)
        {
            var num = Convert.ToInt32(number[i] - '0');
            Sum(number, i + 1, ans == "" ? ans + number[i] : ans + "+" + number[i], sum + num, target);
            Sum(number, i + 1, ans == "" ? ans + number[i] : ans + "-" + number[i], sum - num, target);

        }


    }



}