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(){
    int A[4],i;
    char s[4];
    scanf("%s",s);
    for(i=0;i<4;i++){
        A[i] = s[i] - '0';
    }

    int j,sum;
    char op[3];
    for(i=0;i<8;i++){
        sum = A[0];
        for(j=0;j<3;j++){
            if( i & ( 1 << j ) ){
                op[j] = '+';
                sum += A[j+1];
            }else{
                op[j] = '-';
                sum -= A[j+1];
            }
        }
        if( sum == 7 ){
            break;
        }
    }

    for(i=0;i<3;i++){
        printf("%d%c",A[i],op[i]);
    }
    printf("%d=7\n",A[3]);

    return 0;
}