p03545 AtCoder Beginner Contest 079 - Train Ticket
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.

Examples

Input

1222


Output

1+2+2+2=7


Input

0290


Output

0-2+9+0=7


Input

3242


Output

3+2+4-2=7
```python
s=input()
l=['+']*3+['']
for k in range(7):
  a=''.join([i+j for i,j in zip(s,l)])
  if eval(a)==7:
    print(a+'=7')
    break
  l=list(bin(k+1)[2:].zfill(3).replace('0','+').replace('1','-'))+['']
```