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)

base_nums = gets.chomp.split(//).map(&:to_i)
flag = false
2.times do |first|
  2.times do |second|
    2.times do |third|
      nums = base_nums.dup
      nums[1] = nums[1] * -1 if first.even?
      nums[2] = nums[2] * -1 if second.even?
      nums[3] = nums[3] * -1 if third.even?
      if nums.inject(:+) == 7
        str = ""
        nums.each_with_index do |num, i|
          if i == 0
            str += num.to_s
          else
            if num >= 0
              str += "+"
              str += num.to_s
            else
              str += num.to_s
            end
          end
        end
        str += "=7"
        puts str
        flag = true
      end
      break if flag
    end
    break if flag
  end
  break if flag
end