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 function ston(x,i)
    return tonumber(x:sub(i,i))
end
local function eo(i)
    if i%2==0 then
        return 1
    else
        return -1
    end
end
local function pm(i)
    if i%2==0 then
        return "+"
    else
        return "-"
    end
end

x=io.read()
a=ston(x,1)
b=ston(x,2)
c=ston(x,3)
d=ston(x,4)

for i=1,2 do
    for j=1,2 do
        for k=1,2 do
            if a+b*eo(i)+c*eo(j)+d*eo(k)==7 then
                print(a..pm(i)..b..pm(j)..c..pm(k)..d.."=7")
                return
            end
        end
    end
end