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++14 (Clang 3.8.0) (judge verdict: Accepted)

#include <iostream>

using namespace std;

int main()
{
    string s;
    int d[4];
    cin >> s;
    for (int i = 0; i < 4; i++)
    {
        d[i] = s[i] - '0';
    }

    for (int i = 0; i < (1 << 3); i++)
    {
        int s = d[0];
        for (int j = 0; j < 3; j++)
        {
            if (i >> j & 1)
            {
                s += d[j + 1];
            }
            else
            {
                s -= d[j + 1];
            }
        }
        if (s == 7)
        {
            cout << d[0];
            for (int j = 0; j < 3; j++)
            {
                if (i >> j & 1)
                {
                    cout << '+';
                }
                else
                {
                    cout << '-';
                }
                cout << d[j + 1];
            }
            cout << "=7" << endl;
            break;
        }
    }
}