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 Lua (5.3.2) (judge verdict: Accepted)

A={io.read(1),io.read(1),io.read(1),io.read(1)}

for bit=0,8,1 do
  a=A[1]
  for i=0,2,1 do
    if (bit>>i)&1==1 then a=a-A[i+2] else a=a+A[i+2] end
  end
  if math.floor(a)==7 then
    ans=A[1]
    for i=0,2,1 do
      if (bit>>i)&1==1 then ans=ans.."-"..A[i+2] else ans=ans.."+"..A[i+2] end
    end
    print(ans.."=7")
    break
  end
end