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: Wrong Answer)

main = do
    input <- readLn ::IO Int
    let
        plusminus = [1,-1]
        patterns = [[a,b,c,d]| a<-plusminus,b<-plusminus,c<-plusminus,d<-plusminus]
        a = div input 1000
        b = div input 100 `mod` 10
        c = div input 10 `mod` 10
        d = input `mod` 10
        result=map (\x->if x>=0 then '+':show x else show x)$head$filter ((7==) . sum) $ map (zipWith (*) [a,b,c,d]) patterns
    putStrLn $(foldl1 (++) result) ++"=7"