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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <iostream>
#include <string>

using namespace std;

int main(int argc, char const *argv[])
{
    string s;
    cin >> s;
    int num[4];
    for(int i=0; i<4; i++){
        num[i] = s[i] - '0';
    }

    for(int i=0; i<8; i++){
        int sum = num[0];
        for(int j=0; j<3; j++){
            if((i>>j)&1) sum += num[j+1];
            else sum -= num[j+1];
        }
        if(sum==7){
            cout << num[0];
            for(int j=0; j<3; j++){
                if((i>>j)&1) cout << '+';
                else cout << '-';
                cout << num[j+1];
            }
            cout << endl;
            return 0;
        }
    }
    return 0;
}