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>
char show_sign(int m)
{
    if (m==0) return '+';
    else return '-';
}

int main()
{
    int a[8]={0},sign[8],i,j,result=0;
    int temp;
    scanf("%d",&temp);
    for (i=0;i<4;i++)
    {
        a[3-i]=temp%10;
        temp/=10;
    }
    for (i=0;i<8;i++)
    {
        sign[0]=i%2;
        sign[1]=(i/2)%2;
        sign[2]=(i/4)%2;
        result=a[0];
        for (j=0;j<3;j++)
        {
            if (sign[j]==0) result+=a[j+1];
            if (sign[j]==1) result-=a[j+1];
        }
        if (result==7){
            printf("%d%c%d%c%d%c%d=7\n",a[0],show_sign(sign[0]),a[1],show_sign(sign[1]),a[2],show_sign(sign[2]),a[3]);
            break;
        }
    }
}