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: Time Limit Exceeded)

#include <stdlib.h>
#include <math.h>
#include <stdio.h>
int main()
{
    int a,b,c,d;
    while(scanf("%d %d %d %d\n",&a,&b,&c,&d))
    {
        int i1,i2,i3,b1,c1,d1;
        for(i1=1;i1<=2;i1++)
        {
            for(i2=1;i2<=2;i2++)
            {
                for(i3=1;i3<=2;i3++)
                {
                    b1=b*pow(-1,i1);
                    c1=c*pow(-1,i2);
                    d1=d*pow(-1,i3);
                    if(a+b1+c1+d1==7)
                    {
                        char op1,op2,op3;
                        if(b1>0) op1='+';else op1='-';
                        if(c1>0) op2='+';else op2='-';
                        if(d1>0) op3='+';else op3='-';
                        printf("%d%c%d%c%d%c%d=7\n",a,op1,b,op2,c,op3,d);
                        break;
                    }
                }
            }
        }
    }
    return 0;
}