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 Python (3.8.2) (judge verdict: Wrong Answer)

A,B,C,D = map(int,input())
rt = str(A)
for bt in (True, False):
  tmp=7-A
  for ct in (True, False):
    for dt in (True, False):
      tmp = tmp-B if bt else tmp+B
      tmp = tmp-C if ct else tmp+C
      tmp = tmp-D if dt else tmp+D
      if tmp == 0:
        rt+="+" if bt else "-"
        rt+=str(B)
        rt+="+" if ct else "-"
        rt+=str(C)
        rt+="+" if dt else "-"
        rt+=str(D)
        rt+="=7"
        break

print(rt)