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 (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>


int main()
{
    char inputNumbers[5];
    char temp[2];
    int a, b, c, d;
    int sum;
    char symbols[3];
    
    scanf("%s", &inputNumbers);

    temp[1] = '\0';

    temp[0] = inputNumbers[0];
    a = atoi(temp);
    temp[0] = inputNumbers[1];
    b = atoi(temp);
    temp[0] = inputNumbers[2];
    c = atoi(temp);
    temp[0] = inputNumbers[3];
    d = atoi(temp);
    
    for (int i = 0; i < 2; i++)
    {
	for (int j = 0; j < 2; j++)
	{
	    for (int k = 0; k < 2; k++)
	    {
		if (i == 0)
		{
		    sum = a + b;
		    symbols[0] = '+';
		}
		else
		{
		    sum = a - b;
		    symbols[0] = '-';
		}

		if (j == 0)
		{
		    sum = sum + c;
		    symbols[1] = '+';
		}
		else
		{
		    sum = sum - c;
		    symbols[1] = '-';
		}

		if (k == 0)
		{
		    sum = sum + d;
		    symbols[2] = '+';
		}
		else
		{
		    sum = sum - d;
		    symbols[2] = '-';
		}

		if (sum == 7)
		{
		    printf("%d%c%d%c%d%c%d=7\n", a, symbols[0], b, symbols[1], c, symbols[2], d);
		    
		    return 0;
		}
	    }
	}
    }

    return 0;
}