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: Accepted)

a = []
a = gets.chomp.split("")
bit = []
cnt=0
c = []
for i in 0..(2**(a.length-1))-1
  c = a.clone
  #puts c.join(" ")
  b = i.to_s(2)
  bit = b.split("")
  while bit.length < a.length
    bit.insert(0,0)
  end
#puts bit.join(" ")
  for j in 0..bit.length-2   
   if bit[bit.length-1-j] == "1"
     c.insert(bit.length-1-j,"+") #後ろからやらないと挿入位置がずれる
   else
     c.insert(bit.length-1-j,"-") #後ろからやらないと挿入位置がずれる
   end
  end
  #puts c.join(" ")
  #puts eval(c.join(""))
  if eval(c.join("")) == 7
    puts "#{c.join("")}=7"
    exit
end
end
#puts cnt