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 Haskell (GHC 7.10.3) (judge verdict: Accepted)

main :: IO ()
main = do
  abcd <- getLine
  putStrLn . head . filter (not . null) . map (solve . tail . concat . zipWith (\x y -> [y,x]) abcd . ('@':)) . foldr (<*>) [[]] . replicate (length abcd -1 ) $ [('+':),('-':)]


solve :: String -> String
solve xs = go xs 0
  where go :: String -> Int -> String
        go [] acc = if acc == 7 then xs ++ "=7" else []
        go [_] _ = []
        go (a:b:as) acc
          | a == '+' = go as (acc + readInt [b])
          | a == '-' = go as (acc - readInt [b])
          | otherwise = go (b:as) (readInt [a])

readInt :: String -> Int
readInt = read