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=gets.chomp.split("").map { |e| e.to_i }

def func(a,b,s)
  if s=="1"
    return a+b
  else
    return a-b
  end
end

for i in 0..7 do
  s=i.to_s(2).reverse
  acum = a[0]

  for j in 0..2 do
    acum = func(acum,a[j+1],s[j])
  end
  if acum == 7
    ans=a[0].to_s
    for i in 0..2 do
      if s[i] == "1"
        ans = ans + "+"
      else
        ans = ans + "-"
      end
      ans = ans + a[i+1].to_s
    end
    puts ans + "=7"
    exit
  end
end