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 (Clang 3.8.0) (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
{
    int a[4],b[3],i,m[3];
    char num[5];
    scanf("%s",num);
    for (i=0;i<4;i++)
    {
        a[i]=num[i]-'0';
    }
    for (i=0;i<8;i++)
    {
        m[0]=i%2;
        m[1]=i/2%2;
        m[2]=i/4%2;
        b[0]=pow(-1,m[0])*a[1];
        b[1]=pow(-1,m[1])*a[2];
        b[2]=pow(-1,m[2])*a[3];
        if (a[0]+b[0]+b[1]+b[2]==7) break;
    }
    printf("%d",a[0]);
    for (i=0;i<3;i++)
    {
        if (m[i]) printf("-");
        else printf("+");
        printf("%d",a[i+1]);
    }
    printf("=7");
    return 0;
}