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 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;

namespace ABC079
{
    class C
    {
        static void Main(string[] args)
        {
            var length = 4;

            var s = Console.ReadLine();
            var ABCD = s.Select(c => int.Parse(c.ToString())).ToArray();

            var bits = (1 << (length - 1));
            for (int i = 0; i < bits; i++)
            {
                var sum = ABCD[0];
                for (int j = 0; j < length - 1; j++)
                    if ((1 & (i >> (length - 2 - j))) == 1) sum += ABCD[j + 1];
                    else sum -= ABCD[j + 1];

                if (sum == 7)
                {
                    var ans = ABCD[0].ToString();
                    for (int j = 0; j < length - 1; j++)
                    {
                        if ((1 & (i >> (length - 2 - j))) == 1) ans += "+" + ABCD[j + 1].ToString();
                        else ans += "-" + ABCD[j + 1].ToString();
                    }
                    ans += "=7";
                    Console.WriteLine(ans);
                    return;
                }
            }
        }
    }
}