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)

local s = io.read()
local a = {}
for i = 1, 4 do
  a[i] = tonumber(s:sub(i, i))
end
for i = 0, 7 do
  local sum = a[1]
  local ti = i
  sum = sum + a[2] * (2 * (ti % 2) - 1)
  ti = ti // 2
  sum = sum + a[3] * (2 * (ti % 2) - 1)
  ti = ti // 2
  sum = sum + a[4] * (2 * (ti % 2) - 1)
  if sum == 7 then
    io.write(a[1])
    local z = i
    for k = 2, 4 do
      io.write(z % 2 == 0 and "-" or "+")
      io.write(a[k])
      z = z // 2
    end
    io.write("=7\n")
    break
  end
end