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 Ruby (2.3.3) (judge verdict: Runtime Error)

#include <bits/stdc++.h>
using namespace std;

int main(){
    int x;
    cin >> x;
    int a = x / 1000;
    x = x - a*1000;
    int b = x/100;
    x = x - b*100;
    int c = x/10;
    x = x -c*10;
    int d = x;
    for(int i = 0; i<2; i++){
        for(int j = 0; j < 2; j++){
            for(int k = 0; k < 2; k++){
                if(a+(-1)^i*b+(-1)^j*c+(-1)^k*d == 7){
                    char op1;char op2; char op3;
                    if(i == 0){
                        op1 = '+';
                    }else{
                        op1 = '-';
                    }
                    if(j == 0){
                        op2 ='+';
                    }else{
                        op2 = '-';
                    }
                    if(k== 0){
                        op3 = '+';
                    }else{
                        op3 = '-';
                    }
                    printf("%d%c%d%c%d%c%d=7\n",a,op1,b,op2,c,op3,d);
                  return 0;
                }
            }
        }
    } 
}