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>

int main() {
  int a,b,c,d;
  int i, j;
  int n;
  
  scanf("%1d %1d %1d %1d", &a, &b, &c, &d);
  
  
  for(i = 0; i < (1 << 4); i++){ //全てのパターンをbitによって列挙
    n = a;
    n += (i&1) ? b : -b; //1にフラグが立ってたらプラス。否だとマイナス
    n += (i&2) ? c : -c; //2にフラグが立ってたらプラス。否だとマイナス
    n += (i&4) ? d : -d; //3にフラグが立ってたらプラス。否だとマイナス
    if(n == 7){
      printf("%d%c%d%c%d%c%d=7\n", a, i&1? '+':'-',  b, i&2? '+':'-', c, i&4? '+' : '-', d);
      return 0;
    }
  }
}